%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP127-2.006 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:12:46 AM UTC 2026
% Result : Unsatisfiable 14.99s 3.22s
% Output : Refutation 17.11s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f23,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f24,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f25,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
fof(f26,axiom,
group_element(e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_5) ).
fof(f27,axiom,
group_element(e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_6) ).
fof(f28,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f29,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f30,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f31,axiom,
~ equalish(e_1,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_5) ).
fof(f32,axiom,
~ equalish(e_1,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_6) ).
fof(f33,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f34,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f35,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
fof(f36,axiom,
~ equalish(e_2,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_5) ).
fof(f37,axiom,
~ equalish(e_2,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_6) ).
fof(f38,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f39,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f40,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f41,axiom,
~ equalish(e_3,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_5) ).
fof(f42,axiom,
~ equalish(e_3,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_6) ).
fof(f43,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f44,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f45,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f46,axiom,
~ equalish(e_4,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_5) ).
fof(f47,axiom,
~ equalish(e_4,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_6) ).
fof(f48,axiom,
~ equalish(e_5,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_1) ).
fof(f49,axiom,
~ equalish(e_5,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_2) ).
fof(f50,axiom,
~ equalish(e_5,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_3) ).
fof(f51,axiom,
~ equalish(e_5,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_4) ).
fof(f52,axiom,
~ equalish(e_5,e_6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_5_is_not_e_6) ).
fof(f53,axiom,
~ equalish(e_6,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_1) ).
fof(f54,axiom,
~ equalish(e_6,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_2) ).
fof(f55,axiom,
~ equalish(e_6,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_3) ).
fof(f56,axiom,
~ equalish(e_6,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_4) ).
fof(f57,axiom,
~ equalish(e_6,e_5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_6_is_not_e_5) ).
fof(f58,axiom,
! [X0,X1] :
( product(X0,X1,e_6)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| product(X0,X1,e_5)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f59,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
fof(f60,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f61,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f62,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f63,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ product(X2,X0,X3)
| ~ product(X0,X1,X2)
| product(X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).
fof(f64,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| product(X0,X0,X1) ),
inference(resolution,[],[f63,f62]) ).
fof(f66,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f59,f62]) ).
fof(f68,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X1,X0) ),
inference(resolution,[],[f60,f62]) ).
fof(f70,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f61,f62]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ product(X0,X2,X1)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| product(X1,X0,e_5)
| ~ group_element(X1)
| ~ group_element(X0)
| product(e_6,X0,X2) ),
inference(resolution,[],[f58,f63]) ).
fof(f76,plain,
! [X0] :
( ~ group_element(X0)
| product(e_6,X0,e_1)
| product(e_6,X0,e_2)
| product(e_6,X0,e_3)
| product(e_6,X0,e_4)
| product(e_6,X0,e_5)
| ~ group_element(e_6)
| equalish(X0,e_6) ),
inference(resolution,[],[f58,f68]) ).
fof(f77,plain,
! [X0] :
( ~ group_element(X0)
| product(e_6,X0,e_1)
| product(e_6,X0,e_2)
| product(e_6,X0,e_3)
| product(e_6,X0,e_4)
| product(e_6,X0,e_5)
| ~ group_element(e_6)
| product(e_6,e_6,X0) ),
inference(resolution,[],[f58,f64]) ).
fof(f78,plain,
! [X0] :
( ~ group_element(e_6)
| product(X0,e_6,e_1)
| product(X0,e_6,e_2)
| product(X0,e_6,e_3)
| product(X0,e_6,e_4)
| product(X0,e_6,e_5)
| ~ group_element(X0)
| equalish(X0,e_6) ),
inference(resolution,[],[f58,f70]) ).
fof(f81,plain,
! [X0] :
( product(X0,e_6,e_5)
| product(X0,e_6,e_2)
| product(X0,e_6,e_3)
| product(X0,e_6,e_4)
| product(X0,e_6,e_1)
| ~ group_element(X0)
| equalish(X0,e_6) ),
inference(forward_subsumption_resolution,[],[f78,f27]) ).
fof(f82,plain,
! [X0] :
( product(e_6,e_6,X0)
| product(e_6,X0,e_5)
| product(e_6,X0,e_2)
| product(e_6,X0,e_3)
| product(e_6,X0,e_4)
| product(e_6,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[],[f77,f27]) ).
fof(f83,plain,
! [X0] :
( product(e_6,X0,e_5)
| product(e_6,X0,e_1)
| product(e_6,X0,e_2)
| product(e_6,X0,e_3)
| product(e_6,X0,e_4)
| ~ group_element(X0)
| equalish(X0,e_6) ),
inference(forward_subsumption_resolution,[],[f76,f27]) ).
fof(f100,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| ~ group_element(e_5)
| equalish(e_5,e_6)
| equalish(e_6,e_5) ),
inference(resolution,[],[f83,f70]) ).
fof(f102,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| equalish(e_5,e_6)
| equalish(e_6,e_5) ),
inference(forward_subsumption_resolution,[],[f100,f26]) ).
fof(f103,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4)
| equalish(e_6,e_5) ),
inference(forward_subsumption_resolution,[],[f102,f52]) ).
fof(f104,plain,
( product(e_6,e_5,e_1)
| product(e_6,e_5,e_2)
| product(e_6,e_5,e_3)
| product(e_6,e_5,e_4) ),
inference(forward_subsumption_resolution,[],[f103,f57]) ).
fof(f106,definition,
( spl0_1
<=> product(e_6,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f107,plain,
( ~ product(e_6,e_5,e_4)
| spl0_1 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( product(e_6,e_5,e_4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f110,definition,
( spl0_2
<=> product(e_6,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f111,plain,
( ~ product(e_6,e_5,e_3)
| spl0_2 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f112,plain,
( product(e_6,e_5,e_3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f114,definition,
( spl0_3
<=> product(e_6,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f115,plain,
( ~ product(e_6,e_5,e_2)
| spl0_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f116,plain,
( product(e_6,e_5,e_2)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,definition,
( spl0_4
<=> product(e_6,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f119,plain,
( ~ product(e_6,e_5,e_1)
| spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f120,plain,
( product(e_6,e_5,e_1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f104,f118,f114,f110,f106]) ).
fof(f132,plain,
! [X0] :
( product(e_5,e_6,e_1)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5)
| ~ group_element(e_5)
| ~ group_element(e_6)
| product(e_6,e_6,X0)
| product(e_6,e_6,X0)
| product(e_6,X0,e_2)
| product(e_6,X0,e_3)
| product(e_6,X0,e_4)
| product(e_6,X0,e_1)
| ~ group_element(X0) ),
inference(resolution,[],[f75,f82]) ).
fof(f133,plain,
( product(e_3,e_6,e_1)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5)
| ~ group_element(e_3)
| ~ group_element(e_6)
| product(e_6,e_6,e_5)
| ~ spl0_2 ),
inference(resolution,[],[f75,f112]) ).
fof(f134,plain,
! [X0] :
( product(e_5,e_6,e_1)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5)
| ~ group_element(e_5)
| ~ group_element(e_6)
| product(e_6,e_6,X0)
| product(e_6,X0,e_2)
| product(e_6,X0,e_3)
| product(e_6,X0,e_4)
| product(e_6,X0,e_1)
| ~ group_element(X0) ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f138,plain,
( product(e_3,e_6,e_1)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5)
| ~ group_element(e_6)
| product(e_6,e_6,e_5)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f133,f24]) ).
fof(f139,plain,
! [X0] :
( product(e_5,e_6,e_1)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5)
| ~ group_element(e_6)
| product(e_6,e_6,X0)
| product(e_6,X0,e_2)
| product(e_6,X0,e_3)
| product(e_6,X0,e_4)
| product(e_6,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[],[f134,f26]) ).
fof(f142,plain,
( product(e_3,e_6,e_1)
| product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_5)
| product(e_6,e_6,e_5)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f138,f27]) ).
fof(f143,plain,
! [X0] :
( product(e_5,e_6,e_1)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5)
| product(e_6,e_6,X0)
| product(e_6,X0,e_2)
| product(e_6,X0,e_3)
| product(e_6,X0,e_4)
| product(e_6,X0,e_1)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[],[f139,f27]) ).
fof(f146,definition,
( spl0_5
<=> product(e_6,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f147,plain,
( ~ product(e_6,e_6,e_5)
| spl0_5 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f148,plain,
( product(e_6,e_6,e_5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f150,definition,
( spl0_6
<=> product(e_3,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f151,plain,
( ~ product(e_3,e_6,e_5)
| spl0_6 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( product(e_3,e_6,e_5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f154,definition,
( spl0_7
<=> product(e_3,e_6,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f155,plain,
( ~ product(e_3,e_6,e_4)
| spl0_7 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f156,plain,
( product(e_3,e_6,e_4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f158,definition,
( spl0_8
<=> product(e_3,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f159,plain,
( ~ product(e_3,e_6,e_3)
| spl0_8 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f160,plain,
( product(e_3,e_6,e_3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f162,definition,
( spl0_9
<=> product(e_3,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f163,plain,
( ~ product(e_3,e_6,e_2)
| spl0_9 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( product(e_3,e_6,e_2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f166,definition,
( spl0_10
<=> product(e_3,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f167,plain,
( ~ product(e_3,e_6,e_1)
| spl0_10 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f168,plain,
( product(e_3,e_6,e_1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f169,plain,
( spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f142,f110,f166,f162,f158,f154,f150,f146]) ).
fof(f171,definition,
( spl0_11
<=> ! [X0] :
( product(e_6,e_6,X0)
| ~ group_element(X0)
| product(e_6,X0,e_1)
| product(e_6,X0,e_4)
| product(e_6,X0,e_3)
| product(e_6,X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f172,plain,
( ! [X0] :
( product(e_6,e_6,X0)
| product(e_6,X0,e_4)
| product(e_6,X0,e_1)
| ~ group_element(X0)
| product(e_6,X0,e_3)
| product(e_6,X0,e_2) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f174,definition,
( spl0_12
<=> product(e_5,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f175,plain,
( ~ product(e_5,e_6,e_5)
| spl0_12 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f176,plain,
( product(e_5,e_6,e_5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f178,definition,
( spl0_13
<=> product(e_5,e_6,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f179,plain,
( ~ product(e_5,e_6,e_4)
| spl0_13 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f180,plain,
( product(e_5,e_6,e_4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f182,definition,
( spl0_14
<=> product(e_5,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f183,plain,
( ~ product(e_5,e_6,e_3)
| spl0_14 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f184,plain,
( product(e_5,e_6,e_3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f186,definition,
( spl0_15
<=> product(e_5,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f187,plain,
( ~ product(e_5,e_6,e_2)
| spl0_15 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f188,plain,
( product(e_5,e_6,e_2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f190,definition,
( spl0_16
<=> product(e_5,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f191,plain,
( ~ product(e_5,e_6,e_1)
| spl0_16 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f192,plain,
( product(e_5,e_6,e_1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f143,f190,f186,f182,f178,f174,f171]) ).
fof(f204,plain,
( equalish(e_5,e_6)
| ~ spl0_5 ),
inference(resolution,[],[f148,f66]) ).
fof(f205,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f204,f52]) ).
fof(f206,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f205]) ).
fof(f212,plain,
( equalish(e_6,e_5)
| ~ spl0_12 ),
inference(resolution,[],[f176,f68]) ).
fof(f215,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f212,f57]) ).
fof(f216,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f215]) ).
fof(f217,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ group_element(e_4)
| ~ group_element(e_5)
| product(e_6,e_5,e_6)
| ~ spl0_13 ),
inference(resolution,[],[f180,f75]) ).
fof(f222,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_6)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f217,f25]) ).
fof(f223,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| product(e_6,e_5,e_6)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f222,f26]) ).
fof(f225,definition,
( spl0_18
<=> product(e_6,e_5,e_6) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f227,plain,
( product(e_6,e_5,e_6)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f229,definition,
( spl0_19
<=> product(e_4,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f231,plain,
( product(e_4,e_5,e_5)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f233,definition,
( spl0_20
<=> product(e_4,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f234,plain,
( ~ product(e_4,e_5,e_4)
| spl0_20 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f235,plain,
( product(e_4,e_5,e_4)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f237,definition,
( spl0_21
<=> product(e_4,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f238,plain,
( ~ product(e_4,e_5,e_3)
| spl0_21 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( product(e_4,e_5,e_3)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f241,definition,
( spl0_22
<=> product(e_4,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f242,plain,
( ~ product(e_4,e_5,e_2)
| spl0_22 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f243,plain,
( product(e_4,e_5,e_2)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f245,definition,
( spl0_23
<=> product(e_4,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f246,plain,
( ~ product(e_4,e_5,e_1)
| spl0_23 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f247,plain,
( product(e_4,e_5,e_1)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f248,plain,
( spl0_18
| spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f223,f178,f245,f241,f237,f233,f229,f225]) ).
fof(f249,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| ~ group_element(e_3)
| ~ group_element(e_5)
| product(e_6,e_5,e_6)
| ~ spl0_14 ),
inference(resolution,[],[f184,f75]) ).
fof(f254,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_6)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f249,f24]) ).
fof(f255,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| product(e_6,e_5,e_6)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f254,f26]) ).
fof(f257,definition,
( spl0_24
<=> product(e_3,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f259,plain,
( product(e_3,e_5,e_5)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f261,definition,
( spl0_25
<=> product(e_3,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f262,plain,
( ~ product(e_3,e_5,e_4)
| spl0_25 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f263,plain,
( product(e_3,e_5,e_4)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl0_26
<=> product(e_3,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f266,plain,
( ~ product(e_3,e_5,e_3)
| spl0_26 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( product(e_3,e_5,e_3)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl0_27
<=> product(e_3,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f270,plain,
( ~ product(e_3,e_5,e_2)
| spl0_27 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f271,plain,
( product(e_3,e_5,e_2)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f273,definition,
( spl0_28
<=> product(e_3,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f274,plain,
( ~ product(e_3,e_5,e_1)
| spl0_28 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f275,plain,
( product(e_3,e_5,e_1)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,plain,
( spl0_18
| spl0_24
| spl0_25
| spl0_26
| spl0_27
| spl0_28
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f255,f182,f273,f269,f265,f261,f257,f225]) ).
fof(f277,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_6)
| ~ spl0_15 ),
inference(resolution,[],[f188,f75]) ).
fof(f282,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_6)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f277,f23]) ).
fof(f283,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_6,e_5,e_6)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f282,f26]) ).
fof(f285,definition,
( spl0_29
<=> product(e_2,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f286,plain,
( ~ product(e_2,e_5,e_5)
| spl0_29 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f287,plain,
( product(e_2,e_5,e_5)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl0_30
<=> product(e_2,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f290,plain,
( ~ product(e_2,e_5,e_4)
| spl0_30 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f291,plain,
( product(e_2,e_5,e_4)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f293,definition,
( spl0_31
<=> product(e_2,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f294,plain,
( ~ product(e_2,e_5,e_3)
| spl0_31 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f295,plain,
( product(e_2,e_5,e_3)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f297,definition,
( spl0_32
<=> product(e_2,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f298,plain,
( ~ product(e_2,e_5,e_2)
| spl0_32 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f299,plain,
( product(e_2,e_5,e_2)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f301,definition,
( spl0_33
<=> product(e_2,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f302,plain,
( ~ product(e_2,e_5,e_1)
| spl0_33 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f303,plain,
( product(e_2,e_5,e_1)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,plain,
( spl0_18
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f283,f186,f301,f297,f293,f289,f285,f225]) ).
fof(f305,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ group_element(e_1)
| ~ group_element(e_5)
| product(e_6,e_5,e_6)
| ~ spl0_16 ),
inference(resolution,[],[f192,f75]) ).
fof(f310,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_6)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f305,f22]) ).
fof(f311,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| product(e_6,e_5,e_6)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f310,f26]) ).
fof(f313,definition,
( spl0_34
<=> product(e_1,e_5,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f315,plain,
( product(e_1,e_5,e_5)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f317,definition,
( spl0_35
<=> product(e_1,e_5,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f318,plain,
( ~ product(e_1,e_5,e_4)
| spl0_35 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f319,plain,
( product(e_1,e_5,e_4)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f321,definition,
( spl0_36
<=> product(e_1,e_5,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f322,plain,
( ~ product(e_1,e_5,e_3)
| spl0_36 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f323,plain,
( product(e_1,e_5,e_3)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f325,definition,
( spl0_37
<=> product(e_1,e_5,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f326,plain,
( ~ product(e_1,e_5,e_2)
| spl0_37 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f327,plain,
( product(e_1,e_5,e_2)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f329,definition,
( spl0_38
<=> product(e_1,e_5,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f330,plain,
( ~ product(e_1,e_5,e_1)
| spl0_38 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f331,plain,
( product(e_1,e_5,e_1)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f332,plain,
( spl0_18
| spl0_34
| spl0_35
| spl0_36
| spl0_37
| spl0_38
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f311,f190,f329,f325,f321,f317,f313,f225]) ).
fof(f333,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| ~ group_element(e_2)
| ~ group_element(e_6)
| product(e_6,e_6,e_5)
| ~ spl0_3 ),
inference(resolution,[],[f116,f75]) ).
fof(f338,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| ~ group_element(e_6)
| product(e_6,e_6,e_5)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f333,f23]) ).
fof(f339,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| product(e_6,e_6,e_5)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f338,f27]) ).
fof(f340,plain,
( product(e_2,e_6,e_1)
| product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_5)
| ~ spl0_3
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f339,f147]) ).
fof(f342,definition,
( spl0_39
<=> product(e_2,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f343,plain,
( ~ product(e_2,e_6,e_5)
| spl0_39 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f344,plain,
( product(e_2,e_6,e_5)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f346,definition,
( spl0_40
<=> product(e_2,e_6,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f347,plain,
( ~ product(e_2,e_6,e_4)
| spl0_40 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f348,plain,
( product(e_2,e_6,e_4)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f350,definition,
( spl0_41
<=> product(e_2,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f351,plain,
( ~ product(e_2,e_6,e_3)
| spl0_41 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f352,plain,
( product(e_2,e_6,e_3)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f354,definition,
( spl0_42
<=> product(e_2,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f355,plain,
( ~ product(e_2,e_6,e_2)
| spl0_42 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f356,plain,
( product(e_2,e_6,e_2)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f358,definition,
( spl0_43
<=> product(e_2,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f359,plain,
( ~ product(e_2,e_6,e_1)
| spl0_43 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f360,plain,
( product(e_2,e_6,e_1)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,plain,
( spl0_39
| spl0_40
| spl0_41
| spl0_42
| spl0_43
| ~ spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f340,f146,f114,f358,f354,f350,f346,f342]) ).
fof(f362,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_5)
| ~ spl0_1 ),
inference(resolution,[],[f108,f75]) ).
fof(f367,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| ~ group_element(e_6)
| product(e_6,e_6,e_5)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f362,f25]) ).
fof(f368,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| product(e_6,e_6,e_5)
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f367,f27]) ).
fof(f369,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| ~ spl0_1
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f368,f147]) ).
fof(f371,definition,
( spl0_44
<=> product(e_4,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f372,plain,
( ~ product(e_4,e_6,e_5)
| spl0_44 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f373,plain,
( product(e_4,e_6,e_5)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f375,definition,
( spl0_45
<=> product(e_4,e_6,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f376,plain,
( ~ product(e_4,e_6,e_4)
| spl0_45 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f377,plain,
( product(e_4,e_6,e_4)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f379,definition,
( spl0_46
<=> product(e_4,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f380,plain,
( ~ product(e_4,e_6,e_3)
| spl0_46 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f381,plain,
( product(e_4,e_6,e_3)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f383,definition,
( spl0_47
<=> product(e_4,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f384,plain,
( ~ product(e_4,e_6,e_2)
| spl0_47 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( product(e_4,e_6,e_2)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f387,definition,
( spl0_48
<=> product(e_4,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f388,plain,
( ~ product(e_4,e_6,e_1)
| spl0_48 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
( product(e_4,e_6,e_1)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f390,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47
| spl0_48
| ~ spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f369,f146,f106,f387,f383,f379,f375,f371]) ).
fof(f400,definition,
( spl0_49
<=> product(e_1,e_6,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f401,plain,
( ~ product(e_1,e_6,e_5)
| spl0_49 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( product(e_1,e_6,e_5)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f404,definition,
( spl0_50
<=> product(e_1,e_6,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f405,plain,
( ~ product(e_1,e_6,e_4)
| spl0_50 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f406,plain,
( product(e_1,e_6,e_4)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f408,definition,
( spl0_51
<=> product(e_1,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f409,plain,
( ~ product(e_1,e_6,e_3)
| spl0_51 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( product(e_1,e_6,e_3)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f412,definition,
( spl0_52
<=> product(e_1,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f413,plain,
( ~ product(e_1,e_6,e_2)
| spl0_52 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f414,plain,
( product(e_1,e_6,e_2)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f416,definition,
( spl0_53
<=> product(e_1,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f417,plain,
( ~ product(e_1,e_6,e_1)
| spl0_53 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f418,plain,
( product(e_1,e_6,e_1)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f420,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_6,e_3,e_6)
| ~ spl0_9 ),
inference(resolution,[],[f164,f75]) ).
fof(f425,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_6)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f420,f23]) ).
fof(f426,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| product(e_6,e_3,e_6)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f425,f24]) ).
fof(f428,definition,
( spl0_54
<=> product(e_6,e_3,e_6) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f429,plain,
( ~ product(e_6,e_3,e_6)
| spl0_54 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f430,plain,
( product(e_6,e_3,e_6)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f432,definition,
( spl0_55
<=> product(e_2,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f433,plain,
( ~ product(e_2,e_3,e_5)
| spl0_55 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f434,plain,
( product(e_2,e_3,e_5)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f436,definition,
( spl0_56
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f437,plain,
( ~ product(e_2,e_3,e_4)
| spl0_56 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f438,plain,
( product(e_2,e_3,e_4)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f440,definition,
( spl0_57
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f441,plain,
( ~ product(e_2,e_3,e_3)
| spl0_57 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f442,plain,
( product(e_2,e_3,e_3)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f444,definition,
( spl0_58
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f445,plain,
( ~ product(e_2,e_3,e_2)
| spl0_58 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f446,plain,
( product(e_2,e_3,e_2)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f448,definition,
( spl0_59
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f449,plain,
( ~ product(e_2,e_3,e_1)
| spl0_59 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f450,plain,
( product(e_2,e_3,e_1)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f451,plain,
( spl0_54
| spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f426,f162,f448,f444,f440,f436,f432,f428]) ).
fof(f464,plain,
( equalish(e_3,e_6)
| ~ spl0_54 ),
inference(resolution,[],[f430,f68]) ).
fof(f467,plain,
( $false
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f464,f42]) ).
fof(f468,plain,
~ spl0_54,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f469,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_6)
| ~ spl0_6 ),
inference(resolution,[],[f152,f75]) ).
fof(f474,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_6)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f469,f26]) ).
fof(f475,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| product(e_6,e_3,e_6)
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f474,f24]) ).
fof(f476,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ spl0_6
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f475,f429]) ).
fof(f478,definition,
( spl0_60
<=> product(e_5,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f479,plain,
( ~ product(e_5,e_3,e_5)
| spl0_60 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f480,plain,
( product(e_5,e_3,e_5)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f482,definition,
( spl0_61
<=> product(e_5,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f483,plain,
( ~ product(e_5,e_3,e_4)
| spl0_61 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f484,plain,
( product(e_5,e_3,e_4)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f486,definition,
( spl0_62
<=> product(e_5,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f487,plain,
( ~ product(e_5,e_3,e_3)
| spl0_62 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f488,plain,
( product(e_5,e_3,e_3)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f486]) ).
fof(f490,definition,
( spl0_63
<=> product(e_5,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f491,plain,
( ~ product(e_5,e_3,e_2)
| spl0_63 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f492,plain,
( product(e_5,e_3,e_2)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f494,definition,
( spl0_64
<=> product(e_5,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f495,plain,
( ~ product(e_5,e_3,e_1)
| spl0_64 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f496,plain,
( product(e_5,e_3,e_1)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f497,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_6
| spl0_54 ),
inference(avatar_split_clause,[],[f476,f428,f150,f494,f490,f486,f482,f478]) ).
fof(f503,plain,
( equalish(e_3,e_5)
| ~ spl0_60 ),
inference(resolution,[],[f480,f68]) ).
fof(f506,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f503,f41]) ).
fof(f507,plain,
~ spl0_60,
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f508,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| ~ group_element(e_4)
| ~ group_element(e_3)
| product(e_6,e_3,e_6)
| ~ spl0_7 ),
inference(resolution,[],[f156,f75]) ).
fof(f513,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_6)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f508,f25]) ).
fof(f514,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| product(e_6,e_3,e_6)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f513,f24]) ).
fof(f515,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| ~ spl0_7
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f514,f429]) ).
fof(f517,definition,
( spl0_65
<=> product(e_4,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f518,plain,
( ~ product(e_4,e_3,e_5)
| spl0_65 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f519,plain,
( product(e_4,e_3,e_5)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f521,definition,
( spl0_66
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f522,plain,
( ~ product(e_4,e_3,e_4)
| spl0_66 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f523,plain,
( product(e_4,e_3,e_4)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f525,definition,
( spl0_67
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f526,plain,
( ~ product(e_4,e_3,e_3)
| spl0_67 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f527,plain,
( product(e_4,e_3,e_3)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f529,definition,
( spl0_68
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f530,plain,
( ~ product(e_4,e_3,e_2)
| spl0_68 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( product(e_4,e_3,e_2)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f533,definition,
( spl0_69
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f535,plain,
( product(e_4,e_3,e_1)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f536,plain,
( spl0_65
| spl0_66
| spl0_67
| spl0_68
| spl0_69
| ~ spl0_7
| spl0_54 ),
inference(avatar_split_clause,[],[f515,f428,f154,f533,f529,f525,f521,f517]) ).
fof(f545,definition,
( spl0_70
<=> product(e_6,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f546,plain,
( ~ product(e_6,e_4,e_3)
| spl0_70 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f547,plain,
( product(e_6,e_4,e_3)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f549,definition,
( spl0_71
<=> product(e_5,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f550,plain,
( ~ product(e_5,e_4,e_5)
| spl0_71 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f551,plain,
( product(e_5,e_4,e_5)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f553,definition,
( spl0_72
<=> product(e_5,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f554,plain,
( ~ product(e_5,e_4,e_4)
| spl0_72 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f555,plain,
( product(e_5,e_4,e_4)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f557,definition,
( spl0_73
<=> product(e_5,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f558,plain,
( ~ product(e_5,e_4,e_3)
| spl0_73 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f559,plain,
( product(e_5,e_4,e_3)
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f561,definition,
( spl0_74
<=> product(e_5,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f562,plain,
( ~ product(e_5,e_4,e_2)
| spl0_74 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f563,plain,
( product(e_5,e_4,e_2)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f565,definition,
( spl0_75
<=> product(e_5,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f566,plain,
( ~ product(e_5,e_4,e_1)
| spl0_75 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f567,plain,
( product(e_5,e_4,e_1)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f574,plain,
( equalish(e_3,e_4)
| ~ spl0_66 ),
inference(resolution,[],[f523,f68]) ).
fof(f577,plain,
( $false
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[],[f574,f40]) ).
fof(f578,plain,
~ spl0_66,
inference(avatar_contradiction_clause,[],[f577]) ).
fof(f584,plain,
( equalish(e_6,e_3)
| ~ spl0_8 ),
inference(resolution,[],[f160,f68]) ).
fof(f587,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f584,f55]) ).
fof(f588,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f589,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_6,e_3,e_6)
| ~ spl0_10 ),
inference(resolution,[],[f168,f75]) ).
fof(f594,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_6)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f589,f22]) ).
fof(f595,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| product(e_6,e_3,e_6)
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f594,f24]) ).
fof(f596,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4)
| product(e_1,e_3,e_5)
| ~ spl0_10
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f595,f429]) ).
fof(f598,definition,
( spl0_76
<=> product(e_1,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f600,plain,
( product(e_1,e_3,e_5)
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f602,definition,
( spl0_77
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_77])],[avatar_definition]) ).
fof(f604,plain,
( product(e_1,e_3,e_4)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f606,definition,
( spl0_78
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_78])],[avatar_definition]) ).
fof(f608,plain,
( product(e_1,e_3,e_3)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f610,definition,
( spl0_79
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_79])],[avatar_definition]) ).
fof(f612,plain,
( product(e_1,e_3,e_2)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f614,definition,
( spl0_80
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_80])],[avatar_definition]) ).
fof(f616,plain,
( product(e_1,e_3,e_1)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f617,plain,
( spl0_76
| spl0_77
| spl0_78
| spl0_79
| spl0_80
| ~ spl0_10
| spl0_54 ),
inference(avatar_split_clause,[],[f596,f428,f166,f614,f610,f606,f602,f598]) ).
fof(f623,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ group_element(e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_6)
| ~ spl0_39 ),
inference(resolution,[],[f344,f75]) ).
fof(f628,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_6)
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f623,f26]) ).
fof(f629,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_6,e_2,e_6)
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f628,f23]) ).
fof(f631,definition,
( spl0_81
<=> product(e_6,e_2,e_6) ),
introduced(definition,[new_symbols(definition,[spl0_81])],[avatar_definition]) ).
fof(f632,plain,
( ~ product(e_6,e_2,e_6)
| spl0_81 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f633,plain,
( product(e_6,e_2,e_6)
| ~ spl0_81 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f635,definition,
( spl0_82
<=> product(e_5,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_82])],[avatar_definition]) ).
fof(f636,plain,
( ~ product(e_5,e_2,e_5)
| spl0_82 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f637,plain,
( product(e_5,e_2,e_5)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f639,definition,
( spl0_83
<=> product(e_5,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_83])],[avatar_definition]) ).
fof(f640,plain,
( ~ product(e_5,e_2,e_4)
| spl0_83 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f641,plain,
( product(e_5,e_2,e_4)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f643,definition,
( spl0_84
<=> product(e_5,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_84])],[avatar_definition]) ).
fof(f644,plain,
( ~ product(e_5,e_2,e_3)
| spl0_84 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f645,plain,
( product(e_5,e_2,e_3)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f647,definition,
( spl0_85
<=> product(e_5,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_85])],[avatar_definition]) ).
fof(f648,plain,
( ~ product(e_5,e_2,e_2)
| spl0_85 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f649,plain,
( product(e_5,e_2,e_2)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f651,definition,
( spl0_86
<=> product(e_5,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_86])],[avatar_definition]) ).
fof(f652,plain,
( ~ product(e_5,e_2,e_1)
| spl0_86 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f653,plain,
( product(e_5,e_2,e_1)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f654,plain,
( spl0_81
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f629,f342,f651,f647,f643,f639,f635,f631]) ).
fof(f655,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| ~ group_element(e_4)
| ~ group_element(e_2)
| product(e_6,e_2,e_6)
| ~ spl0_40 ),
inference(resolution,[],[f348,f75]) ).
fof(f660,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_6)
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f655,f25]) ).
fof(f661,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_6,e_2,e_6)
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f660,f23]) ).
fof(f663,definition,
( spl0_87
<=> product(e_4,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_87])],[avatar_definition]) ).
fof(f664,plain,
( ~ product(e_4,e_2,e_5)
| spl0_87 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f665,plain,
( product(e_4,e_2,e_5)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f667,definition,
( spl0_88
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_88])],[avatar_definition]) ).
fof(f668,plain,
( ~ product(e_4,e_2,e_4)
| spl0_88 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f669,plain,
( product(e_4,e_2,e_4)
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f671,definition,
( spl0_89
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_89])],[avatar_definition]) ).
fof(f672,plain,
( ~ product(e_4,e_2,e_3)
| spl0_89 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f673,plain,
( product(e_4,e_2,e_3)
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f675,definition,
( spl0_90
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_90])],[avatar_definition]) ).
fof(f676,plain,
( ~ product(e_4,e_2,e_2)
| spl0_90 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f677,plain,
( product(e_4,e_2,e_2)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f679,definition,
( spl0_91
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f680,plain,
( ~ product(e_4,e_2,e_1)
| spl0_91 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f681,plain,
( product(e_4,e_2,e_1)
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f682,plain,
( spl0_81
| spl0_87
| spl0_88
| spl0_89
| spl0_90
| spl0_91
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f661,f346,f679,f675,f671,f667,f663,f631]) ).
fof(f683,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_6)
| ~ spl0_41 ),
inference(resolution,[],[f352,f75]) ).
fof(f688,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_6)
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f683,f24]) ).
fof(f689,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| product(e_6,e_2,e_6)
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f688,f23]) ).
fof(f691,definition,
( spl0_92
<=> product(e_3,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f692,plain,
( ~ product(e_3,e_2,e_5)
| spl0_92 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f693,plain,
( product(e_3,e_2,e_5)
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f695,definition,
( spl0_93
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_93])],[avatar_definition]) ).
fof(f696,plain,
( ~ product(e_3,e_2,e_4)
| spl0_93 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f697,plain,
( product(e_3,e_2,e_4)
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f699,definition,
( spl0_94
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f700,plain,
( ~ product(e_3,e_2,e_3)
| spl0_94 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f701,plain,
( product(e_3,e_2,e_3)
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f703,definition,
( spl0_95
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_95])],[avatar_definition]) ).
fof(f704,plain,
( ~ product(e_3,e_2,e_2)
| spl0_95 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f705,plain,
( product(e_3,e_2,e_2)
| ~ spl0_95 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f707,definition,
( spl0_96
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_96])],[avatar_definition]) ).
fof(f708,plain,
( ~ product(e_3,e_2,e_1)
| spl0_96 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f709,plain,
( product(e_3,e_2,e_1)
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f710,plain,
( spl0_81
| spl0_92
| spl0_93
| spl0_94
| spl0_95
| spl0_96
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f689,f350,f707,f703,f699,f695,f691,f631]) ).
fof(f716,plain,
( equalish(e_6,e_2)
| ~ spl0_42 ),
inference(resolution,[],[f356,f68]) ).
fof(f719,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f716,f54]) ).
fof(f720,plain,
~ spl0_42,
inference(avatar_contradiction_clause,[],[f719]) ).
fof(f721,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_6,e_2,e_6)
| ~ spl0_43 ),
inference(resolution,[],[f360,f75]) ).
fof(f726,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_6)
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f721,f22]) ).
fof(f727,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| product(e_1,e_2,e_5)
| product(e_6,e_2,e_6)
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f726,f23]) ).
fof(f729,definition,
( spl0_97
<=> product(e_1,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_97])],[avatar_definition]) ).
fof(f731,plain,
( product(e_1,e_2,e_5)
| ~ spl0_97 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f733,definition,
( spl0_98
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_98])],[avatar_definition]) ).
fof(f735,plain,
( product(e_1,e_2,e_4)
| ~ spl0_98 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f737,definition,
( spl0_99
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_99])],[avatar_definition]) ).
fof(f739,plain,
( product(e_1,e_2,e_3)
| ~ spl0_99 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f741,definition,
( spl0_100
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_100])],[avatar_definition]) ).
fof(f743,plain,
( product(e_1,e_2,e_2)
| ~ spl0_100 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f745,definition,
( spl0_101
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_101])],[avatar_definition]) ).
fof(f747,plain,
( product(e_1,e_2,e_1)
| ~ spl0_101 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f748,plain,
( spl0_81
| spl0_97
| spl0_98
| spl0_99
| spl0_100
| spl0_101
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f727,f358,f745,f741,f737,f733,f729,f631]) ).
fof(f754,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ group_element(e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_6)
| ~ spl0_49 ),
inference(resolution,[],[f402,f75]) ).
fof(f759,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_6)
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f754,f26]) ).
fof(f760,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_6,e_1,e_6)
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f759,f22]) ).
fof(f762,definition,
( spl0_102
<=> product(e_6,e_1,e_6) ),
introduced(definition,[new_symbols(definition,[spl0_102])],[avatar_definition]) ).
fof(f763,plain,
( ~ product(e_6,e_1,e_6)
| spl0_102 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f764,plain,
( product(e_6,e_1,e_6)
| ~ spl0_102 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f766,definition,
( spl0_103
<=> product(e_5,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_103])],[avatar_definition]) ).
fof(f767,plain,
( ~ product(e_5,e_1,e_5)
| spl0_103 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f768,plain,
( product(e_5,e_1,e_5)
| ~ spl0_103 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f770,definition,
( spl0_104
<=> product(e_5,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f771,plain,
( ~ product(e_5,e_1,e_4)
| spl0_104 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f772,plain,
( product(e_5,e_1,e_4)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f774,definition,
( spl0_105
<=> product(e_5,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f775,plain,
( ~ product(e_5,e_1,e_3)
| spl0_105 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f776,plain,
( product(e_5,e_1,e_3)
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f778,definition,
( spl0_106
<=> product(e_5,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f779,plain,
( ~ product(e_5,e_1,e_2)
| spl0_106 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f780,plain,
( product(e_5,e_1,e_2)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f782,definition,
( spl0_107
<=> product(e_5,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_107])],[avatar_definition]) ).
fof(f783,plain,
( ~ product(e_5,e_1,e_1)
| spl0_107 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f784,plain,
( product(e_5,e_1,e_1)
| ~ spl0_107 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f785,plain,
( spl0_102
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f760,f400,f782,f778,f774,f770,f766,f762]) ).
fof(f786,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5)
| ~ group_element(e_4)
| ~ group_element(e_1)
| product(e_6,e_1,e_6)
| ~ spl0_50 ),
inference(resolution,[],[f406,f75]) ).
fof(f791,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_6)
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f786,f25]) ).
fof(f792,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4)
| product(e_4,e_1,e_5)
| product(e_6,e_1,e_6)
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f791,f22]) ).
fof(f794,definition,
( spl0_108
<=> product(e_4,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f796,plain,
( product(e_4,e_1,e_5)
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f798,definition,
( spl0_109
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f800,plain,
( product(e_4,e_1,e_4)
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f802,definition,
( spl0_110
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f804,plain,
( product(e_4,e_1,e_3)
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f806,definition,
( spl0_111
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f808,plain,
( product(e_4,e_1,e_2)
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f810,definition,
( spl0_112
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f812,plain,
( product(e_4,e_1,e_1)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f813,plain,
( spl0_102
| spl0_108
| spl0_109
| spl0_110
| spl0_111
| spl0_112
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f792,f404,f810,f806,f802,f798,f794,f762]) ).
fof(f814,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| ~ group_element(e_3)
| ~ group_element(e_1)
| product(e_6,e_1,e_6)
| ~ spl0_51 ),
inference(resolution,[],[f410,f75]) ).
fof(f819,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_6)
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f814,f24]) ).
fof(f820,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| product(e_6,e_1,e_6)
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f819,f22]) ).
fof(f822,definition,
( spl0_113
<=> product(e_3,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f824,plain,
( product(e_3,e_1,e_5)
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f826,definition,
( spl0_114
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_114])],[avatar_definition]) ).
fof(f828,plain,
( product(e_3,e_1,e_4)
| ~ spl0_114 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f830,definition,
( spl0_115
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_115])],[avatar_definition]) ).
fof(f832,plain,
( product(e_3,e_1,e_3)
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f834,definition,
( spl0_116
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f835,plain,
( ~ product(e_3,e_1,e_2)
| spl0_116 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f836,plain,
( product(e_3,e_1,e_2)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f838,definition,
( spl0_117
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_117])],[avatar_definition]) ).
fof(f840,plain,
( product(e_3,e_1,e_1)
| ~ spl0_117 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f841,plain,
( spl0_102
| spl0_113
| spl0_114
| spl0_115
| spl0_116
| spl0_117
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f820,f408,f838,f834,f830,f826,f822,f762]) ).
fof(f842,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5)
| ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_6,e_1,e_6)
| ~ spl0_52 ),
inference(resolution,[],[f414,f75]) ).
fof(f847,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_6)
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f842,f23]) ).
fof(f848,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5)
| product(e_6,e_1,e_6)
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f847,f22]) ).
fof(f850,definition,
( spl0_118
<=> product(e_2,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f851,plain,
( ~ product(e_2,e_1,e_5)
| spl0_118 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f852,plain,
( product(e_2,e_1,e_5)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f854,definition,
( spl0_119
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f855,plain,
( ~ product(e_2,e_1,e_4)
| spl0_119 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f856,plain,
( product(e_2,e_1,e_4)
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f858,definition,
( spl0_120
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_120])],[avatar_definition]) ).
fof(f859,plain,
( ~ product(e_2,e_1,e_3)
| spl0_120 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f860,plain,
( product(e_2,e_1,e_3)
| ~ spl0_120 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f862,definition,
( spl0_121
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_121])],[avatar_definition]) ).
fof(f863,plain,
( ~ product(e_2,e_1,e_2)
| spl0_121 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f864,plain,
( product(e_2,e_1,e_2)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f866,definition,
( spl0_122
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_122])],[avatar_definition]) ).
fof(f867,plain,
( ~ product(e_2,e_1,e_1)
| spl0_122 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f868,plain,
( product(e_2,e_1,e_1)
| ~ spl0_122 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f869,plain,
( spl0_102
| spl0_118
| spl0_119
| spl0_120
| spl0_121
| spl0_122
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f848,f412,f866,f862,f858,f854,f850,f762]) ).
fof(f875,plain,
( equalish(e_6,e_1)
| ~ spl0_53 ),
inference(resolution,[],[f418,f68]) ).
fof(f878,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f875,f53]) ).
fof(f879,plain,
~ spl0_53,
inference(avatar_contradiction_clause,[],[f878]) ).
fof(f890,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ group_element(e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_3)
| ~ spl0_55 ),
inference(resolution,[],[f434,f75]) ).
fof(f895,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_3)
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f890,f26]) ).
fof(f896,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_6,e_2,e_3)
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f895,f23]) ).
fof(f898,definition,
( spl0_123
<=> product(e_6,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_123])],[avatar_definition]) ).
fof(f899,plain,
( ~ product(e_6,e_2,e_3)
| spl0_123 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f900,plain,
( product(e_6,e_2,e_3)
| ~ spl0_123 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f901,plain,
( spl0_123
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f896,f432,f651,f647,f643,f639,f635,f898]) ).
fof(f902,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| ~ group_element(e_4)
| ~ group_element(e_2)
| product(e_6,e_2,e_3)
| ~ spl0_56 ),
inference(resolution,[],[f438,f75]) ).
fof(f907,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_3)
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f902,f25]) ).
fof(f908,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| product(e_6,e_2,e_3)
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f907,f23]) ).
fof(f909,plain,
( spl0_123
| spl0_87
| spl0_88
| spl0_89
| spl0_90
| spl0_91
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f908,f436,f679,f675,f671,f667,f663,f898]) ).
fof(f915,plain,
( equalish(e_2,e_3)
| ~ spl0_57 ),
inference(resolution,[],[f442,f70]) ).
fof(f916,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f915,f34]) ).
fof(f917,plain,
~ spl0_57,
inference(avatar_contradiction_clause,[],[f916]) ).
fof(f926,plain,
( equalish(e_3,e_2)
| ~ spl0_58 ),
inference(resolution,[],[f446,f68]) ).
fof(f929,plain,
( $false
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f926,f39]) ).
fof(f930,plain,
~ spl0_58,
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f943,plain,
( ! [X0] :
( ~ product(e_6,X0,e_3)
| product(e_5,e_6,X0) )
| ~ spl0_6 ),
inference(resolution,[],[f152,f63]) ).
fof(f944,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ group_element(e_4)
| ~ group_element(e_5)
| product(e_6,e_5,e_3)
| ~ spl0_61 ),
inference(resolution,[],[f484,f75]) ).
fof(f949,plain,
( ~ group_element(e_3)
| product(e_6,e_3,e_1)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_5)
| ~ group_element(e_6)
| spl0_54 ),
inference(resolution,[],[f429,f58]) ).
fof(f950,plain,
( product(e_6,e_3,e_1)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_5)
| ~ group_element(e_6)
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f949,f24]) ).
fof(f951,plain,
( product(e_6,e_3,e_1)
| product(e_6,e_3,e_2)
| product(e_6,e_3,e_3)
| product(e_6,e_3,e_4)
| product(e_6,e_3,e_5)
| spl0_54 ),
inference(forward_subsumption_resolution,[],[f950,f27]) ).
fof(f953,definition,
( spl0_124
<=> product(e_6,e_3,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_124])],[avatar_definition]) ).
fof(f954,plain,
( ~ product(e_6,e_3,e_5)
| spl0_124 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f955,plain,
( product(e_6,e_3,e_5)
| ~ spl0_124 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f957,definition,
( spl0_125
<=> product(e_6,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_125])],[avatar_definition]) ).
fof(f958,plain,
( ~ product(e_6,e_3,e_4)
| spl0_125 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f959,plain,
( product(e_6,e_3,e_4)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f961,definition,
( spl0_126
<=> product(e_6,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_126])],[avatar_definition]) ).
fof(f963,plain,
( product(e_6,e_3,e_3)
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f965,definition,
( spl0_127
<=> product(e_6,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_127])],[avatar_definition]) ).
fof(f966,plain,
( ~ product(e_6,e_3,e_2)
| spl0_127 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f967,plain,
( product(e_6,e_3,e_2)
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f969,definition,
( spl0_128
<=> product(e_6,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_128])],[avatar_definition]) ).
fof(f970,plain,
( ~ product(e_6,e_3,e_1)
| spl0_128 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f971,plain,
( product(e_6,e_3,e_1)
| ~ spl0_128 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f972,plain,
( spl0_124
| spl0_125
| spl0_126
| spl0_127
| spl0_128
| spl0_54 ),
inference(avatar_split_clause,[],[f951,f428,f969,f965,f961,f957,f953]) ).
fof(f1000,definition,
( spl0_129
<=> product(e_6,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_129])],[avatar_definition]) ).
fof(f1001,plain,
( ~ product(e_6,e_4,e_2)
| spl0_129 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1002,plain,
( product(e_6,e_4,e_2)
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1004,definition,
( spl0_130
<=> product(e_6,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_130])],[avatar_definition]) ).
fof(f1005,plain,
( ~ product(e_6,e_4,e_1)
| spl0_130 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1006,plain,
( product(e_6,e_4,e_1)
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1012,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| ~ group_element(e_5)
| ~ group_element(e_4)
| product(e_6,e_4,e_6)
| ~ spl0_44 ),
inference(resolution,[],[f373,f75]) ).
fof(f1017,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| ~ group_element(e_4)
| product(e_6,e_4,e_6)
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1012,f26]) ).
fof(f1018,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_6,e_4,e_6)
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1017,f25]) ).
fof(f1020,definition,
( spl0_132
<=> product(e_6,e_4,e_6) ),
introduced(definition,[new_symbols(definition,[spl0_132])],[avatar_definition]) ).
fof(f1021,plain,
( ~ product(e_6,e_4,e_6)
| spl0_132 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1022,plain,
( product(e_6,e_4,e_6)
| ~ spl0_132 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1023,plain,
( spl0_132
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1018,f371,f565,f561,f557,f553,f549,f1020]) ).
fof(f1029,plain,
( equalish(e_6,e_4)
| ~ spl0_45 ),
inference(resolution,[],[f377,f68]) ).
fof(f1032,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1029,f56]) ).
fof(f1033,plain,
~ spl0_45,
inference(avatar_contradiction_clause,[],[f1032]) ).
fof(f1035,plain,
( ! [X0] :
( ~ product(X0,e_6,e_2)
| equalish(X0,e_5) )
| ~ spl0_15 ),
inference(resolution,[],[f188,f61]) ).
fof(f1036,plain,
( ! [X0] :
( ~ product(e_5,X0,e_2)
| equalish(X0,e_6) )
| ~ spl0_15 ),
inference(resolution,[],[f188,f60]) ).
fof(f1038,plain,
( ! [X0] :
( ~ product(e_6,X0,e_5)
| product(e_2,e_6,X0) )
| ~ spl0_15 ),
inference(resolution,[],[f188,f63]) ).
fof(f1044,plain,
( equalish(e_5,e_6)
| ~ spl0_18 ),
inference(resolution,[],[f227,f68]) ).
fof(f1049,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1044,f52]) ).
fof(f1050,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f1049]) ).
fof(f1058,definition,
( spl0_134
<=> product(e_6,e_6,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_134])],[avatar_definition]) ).
fof(f1059,plain,
( ~ product(e_6,e_6,e_3)
| spl0_134 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1060,plain,
( product(e_6,e_6,e_3)
| ~ spl0_134 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1062,definition,
( spl0_135
<=> product(e_6,e_6,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_135])],[avatar_definition]) ).
fof(f1063,plain,
( ~ product(e_6,e_6,e_2)
| spl0_135 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1064,plain,
( product(e_6,e_6,e_2)
| ~ spl0_135 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1066,definition,
( spl0_136
<=> product(e_6,e_6,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_136])],[avatar_definition]) ).
fof(f1067,plain,
( ~ product(e_6,e_6,e_1)
| spl0_136 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1068,plain,
( product(e_6,e_6,e_1)
| ~ spl0_136 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1071,plain,
( ! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(X0,e_2) )
| ~ spl0_33 ),
inference(resolution,[],[f303,f61]) ).
fof(f1078,definition,
( spl0_137
<=> product(e_6,e_2,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_137])],[avatar_definition]) ).
fof(f1079,plain,
( ~ product(e_6,e_2,e_5)
| spl0_137 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1080,plain,
( product(e_6,e_2,e_5)
| ~ spl0_137 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1123,plain,
( product(e_2,e_6,e_2)
| ~ spl0_15
| ~ spl0_137 ),
inference(resolution,[],[f1038,f1080]) ).
fof(f1124,plain,
( product(e_2,e_6,e_3)
| ~ spl0_15
| ~ spl0_124 ),
inference(resolution,[],[f1038,f955]) ).
fof(f1128,plain,
( $false
| ~ spl0_15
| spl0_42
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f1123,f355]) ).
fof(f1129,plain,
( ~ spl0_15
| spl0_42
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f1128]) ).
fof(f1130,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ group_element(e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_2)
| ~ spl0_97 ),
inference(resolution,[],[f731,f75]) ).
fof(f1135,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_2)
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f1130,f26]) ).
fof(f1136,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_6,e_1,e_2)
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f1135,f22]) ).
fof(f1138,definition,
( spl0_139
<=> product(e_6,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_139])],[avatar_definition]) ).
fof(f1139,plain,
( ~ product(e_6,e_1,e_2)
| spl0_139 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f1140,plain,
( product(e_6,e_1,e_2)
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f1138]) ).
fof(f1141,plain,
( spl0_139
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107
| ~ spl0_97 ),
inference(avatar_split_clause,[],[f1136,f729,f782,f778,f774,f770,f766,f1138]) ).
fof(f1160,plain,
( equalish(e_3,e_6)
| ~ spl0_134 ),
inference(resolution,[],[f1060,f66]) ).
fof(f1161,plain,
( $false
| ~ spl0_134 ),
inference(forward_subsumption_resolution,[],[f1160,f42]) ).
fof(f1162,plain,
~ spl0_134,
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1182,plain,
( equalish(e_6,e_3)
| ~ spl0_126 ),
inference(resolution,[],[f963,f70]) ).
fof(f1183,plain,
( $false
| ~ spl0_126 ),
inference(forward_subsumption_resolution,[],[f1182,f55]) ).
fof(f1184,plain,
~ spl0_126,
inference(avatar_contradiction_clause,[],[f1183]) ).
fof(f1195,plain,
( equalish(e_2,e_6)
| ~ spl0_81 ),
inference(resolution,[],[f633,f68]) ).
fof(f1199,plain,
( $false
| ~ spl0_81 ),
inference(forward_subsumption_resolution,[],[f1195,f37]) ).
fof(f1200,plain,
~ spl0_81,
inference(avatar_contradiction_clause,[],[f1199]) ).
fof(f1205,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_3)
| ~ spl0_125 ),
inference(resolution,[],[f959,f75]) ).
fof(f1210,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_5)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_3)
| spl0_45
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1205,f376]) ).
fof(f1211,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_3)
| spl0_44
| spl0_45
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1210,f372]) ).
fof(f1212,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| ~ group_element(e_6)
| product(e_6,e_6,e_3)
| spl0_44
| spl0_45
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1211,f25]) ).
fof(f1213,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_6,e_6,e_3)
| spl0_44
| spl0_45
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f1212,f27]) ).
fof(f1214,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| spl0_44
| spl0_45
| ~ spl0_125
| spl0_134 ),
inference(forward_subsumption_resolution,[],[f1213,f1059]) ).
fof(f1215,plain,
( spl0_46
| spl0_47
| spl0_48
| spl0_44
| spl0_45
| ~ spl0_125
| spl0_134 ),
inference(avatar_split_clause,[],[f1214,f1058,f957,f375,f371,f387,f383,f379]) ).
fof(f1216,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| ~ group_element(e_2)
| ~ group_element(e_4)
| product(e_6,e_4,e_6)
| ~ spl0_47 ),
inference(resolution,[],[f385,f75]) ).
fof(f1221,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| ~ group_element(e_4)
| product(e_6,e_4,e_6)
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1216,f23]) ).
fof(f1222,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| product(e_6,e_4,e_6)
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1221,f25]) ).
fof(f1224,definition,
( spl0_140
<=> product(e_2,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_140])],[avatar_definition]) ).
fof(f1225,plain,
( ~ product(e_2,e_4,e_5)
| spl0_140 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1226,plain,
( product(e_2,e_4,e_5)
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1228,definition,
( spl0_141
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_141])],[avatar_definition]) ).
fof(f1229,plain,
( ~ product(e_2,e_4,e_4)
| spl0_141 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1230,plain,
( product(e_2,e_4,e_4)
| ~ spl0_141 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1232,definition,
( spl0_142
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_142])],[avatar_definition]) ).
fof(f1234,plain,
( product(e_2,e_4,e_3)
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f1236,definition,
( spl0_143
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_143])],[avatar_definition]) ).
fof(f1237,plain,
( ~ product(e_2,e_4,e_2)
| spl0_143 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1238,plain,
( product(e_2,e_4,e_2)
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1240,definition,
( spl0_144
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_144])],[avatar_definition]) ).
fof(f1241,plain,
( ~ product(e_2,e_4,e_1)
| spl0_144 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f1242,plain,
( product(e_2,e_4,e_1)
| ~ spl0_144 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f1243,plain,
( spl0_132
| spl0_140
| spl0_141
| spl0_142
| spl0_143
| spl0_144
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1222,f383,f1240,f1236,f1232,f1228,f1224,f1020]) ).
fof(f1249,plain,
( equalish(e_2,e_4)
| ~ spl0_141 ),
inference(resolution,[],[f1230,f70]) ).
fof(f1250,plain,
( $false
| ~ spl0_141 ),
inference(forward_subsumption_resolution,[],[f1249,f35]) ).
fof(f1251,plain,
~ spl0_141,
inference(avatar_contradiction_clause,[],[f1250]) ).
fof(f1255,definition,
( spl0_145
<=> product(e_6,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_145])],[avatar_definition]) ).
fof(f1256,plain,
( ~ product(e_6,e_2,e_4)
| spl0_145 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1257,plain,
( product(e_6,e_2,e_4)
| ~ spl0_145 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1264,plain,
( equalish(e_4,e_6)
| ~ spl0_132 ),
inference(resolution,[],[f1022,f68]) ).
fof(f1268,plain,
( $false
| ~ spl0_132 ),
inference(forward_subsumption_resolution,[],[f1264,f47]) ).
fof(f1269,plain,
~ spl0_132,
inference(avatar_contradiction_clause,[],[f1268]) ).
fof(f1274,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ group_element(e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_4)
| ~ spl0_140 ),
inference(resolution,[],[f1226,f75]) ).
fof(f1279,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_4)
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f1274,f26]) ).
fof(f1280,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| product(e_6,e_2,e_4)
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f1279,f23]) ).
fof(f1281,plain,
( spl0_145
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1280,f1224,f651,f647,f643,f639,f635,f1255]) ).
fof(f1282,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ group_element(e_4)
| ~ group_element(e_5)
| product(e_6,e_5,e_2)
| ~ spl0_83 ),
inference(resolution,[],[f641,f75]) ).
fof(f1287,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_2)
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f1282,f25]) ).
fof(f1288,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| product(e_6,e_5,e_2)
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f1287,f26]) ).
fof(f1289,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| spl0_3
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f1288,f115]) ).
fof(f1290,plain,
( spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_3
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f1289,f639,f114,f245,f241,f237,f233,f229]) ).
fof(f1306,plain,
( ~ group_element(e_4)
| product(e_6,e_4,e_1)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5)
| ~ group_element(e_6)
| spl0_132 ),
inference(resolution,[],[f1021,f58]) ).
fof(f1307,plain,
( ~ group_element(e_2)
| product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_5)
| ~ group_element(e_6)
| spl0_81 ),
inference(resolution,[],[f632,f58]) ).
fof(f1308,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| product(e_6,e_2,e_5)
| ~ group_element(e_6)
| spl0_81 ),
inference(forward_subsumption_resolution,[],[f1307,f23]) ).
fof(f1309,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| ~ group_element(e_6)
| spl0_81
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f1308,f1079]) ).
fof(f1310,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| spl0_81
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f1309,f27]) ).
fof(f1312,definition,
( spl0_146
<=> product(e_6,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_146])],[avatar_definition]) ).
fof(f1313,plain,
( ~ product(e_6,e_2,e_2)
| spl0_146 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1314,plain,
( product(e_6,e_2,e_2)
| ~ spl0_146 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1316,definition,
( spl0_147
<=> product(e_6,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_147])],[avatar_definition]) ).
fof(f1317,plain,
( ~ product(e_6,e_2,e_1)
| spl0_147 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1318,plain,
( product(e_6,e_2,e_1)
| ~ spl0_147 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1319,plain,
( spl0_145
| spl0_123
| spl0_146
| spl0_147
| spl0_81
| spl0_137 ),
inference(avatar_split_clause,[],[f1310,f1078,f631,f1316,f1312,f898,f1255]) ).
fof(f1338,plain,
( equalish(e_6,e_2)
| ~ spl0_146 ),
inference(resolution,[],[f1314,f70]) ).
fof(f1339,plain,
( $false
| ~ spl0_146 ),
inference(forward_subsumption_resolution,[],[f1338,f54]) ).
fof(f1340,plain,
~ spl0_146,
inference(avatar_contradiction_clause,[],[f1339]) ).
fof(f1341,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_2)
| ~ spl0_145 ),
inference(resolution,[],[f1257,f75]) ).
fof(f1351,plain,
( product(e_5,e_6,e_4)
| ~ spl0_6
| ~ spl0_70 ),
inference(resolution,[],[f943,f547]) ).
fof(f1352,plain,
( product(e_5,e_6,e_5)
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f943,f112]) ).
fof(f1354,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f1352,f175]) ).
fof(f1355,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f1354]) ).
fof(f1358,plain,
( product(e_6,e_4,e_1)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5)
| ~ group_element(e_6)
| spl0_132 ),
inference(forward_subsumption_resolution,[],[f1306,f25]) ).
fof(f1359,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_3)
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f944,f25]) ).
fof(f1360,plain,
( product(e_6,e_4,e_1)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5)
| ~ group_element(e_6)
| spl0_70
| spl0_132 ),
inference(forward_subsumption_resolution,[],[f1358,f546]) ).
fof(f1361,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| product(e_6,e_5,e_3)
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f1359,f26]) ).
fof(f1362,plain,
( product(e_6,e_4,e_1)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_4)
| product(e_6,e_4,e_5)
| spl0_70
| spl0_132 ),
inference(forward_subsumption_resolution,[],[f1360,f27]) ).
fof(f1363,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| spl0_2
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f1361,f111]) ).
fof(f1365,definition,
( spl0_148
<=> product(e_6,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_148])],[avatar_definition]) ).
fof(f1366,plain,
( ~ product(e_6,e_4,e_5)
| spl0_148 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f1367,plain,
( product(e_6,e_4,e_5)
| ~ spl0_148 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f1369,definition,
( spl0_149
<=> product(e_6,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_149])],[avatar_definition]) ).
fof(f1370,plain,
( ~ product(e_6,e_4,e_4)
| spl0_149 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1371,plain,
( product(e_6,e_4,e_4)
| ~ spl0_149 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1372,plain,
( spl0_148
| spl0_149
| spl0_129
| spl0_130
| spl0_70
| spl0_132 ),
inference(avatar_split_clause,[],[f1362,f1020,f545,f1004,f1000,f1369,f1365]) ).
fof(f1373,plain,
( spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_2
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f1363,f482,f110,f245,f241,f237,f233,f229]) ).
fof(f1374,plain,
( product(e_2,e_6,e_4)
| ~ spl0_15
| ~ spl0_148 ),
inference(resolution,[],[f1367,f1038]) ).
fof(f1380,plain,
( $false
| ~ spl0_15
| spl0_40
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f1374,f347]) ).
fof(f1381,plain,
( ~ spl0_15
| spl0_40
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f1380]) ).
fof(f1392,plain,
( equalish(e_4,e_2)
| ~ spl0_90 ),
inference(resolution,[],[f677,f70]) ).
fof(f1393,plain,
( $false
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[],[f1392,f44]) ).
fof(f1394,plain,
~ spl0_90,
inference(avatar_contradiction_clause,[],[f1393]) ).
fof(f1396,plain,
( ! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(X0,e_6) )
| ~ spl0_129 ),
inference(resolution,[],[f1002,f61]) ).
fof(f1403,plain,
( equalish(e_4,e_5)
| ~ spl0_15
| ~ spl0_47 ),
inference(resolution,[],[f1035,f385]) ).
fof(f1406,plain,
( $false
| ~ spl0_15
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1403,f46]) ).
fof(f1407,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f1406]) ).
fof(f1408,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_2)
| spl0_47
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f1341,f384]) ).
fof(f1409,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_5)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_2)
| spl0_45
| spl0_47
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f1408,f376]) ).
fof(f1410,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_3)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_2)
| spl0_44
| spl0_45
| spl0_47
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f1409,f372]) ).
fof(f1411,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_3)
| ~ group_element(e_6)
| product(e_6,e_6,e_2)
| spl0_44
| spl0_45
| spl0_47
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f1410,f25]) ).
fof(f1412,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_3)
| product(e_6,e_6,e_2)
| spl0_44
| spl0_45
| spl0_47
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f1411,f27]) ).
fof(f1413,plain,
( spl0_135
| spl0_46
| spl0_48
| spl0_44
| spl0_45
| spl0_47
| ~ spl0_145 ),
inference(avatar_split_clause,[],[f1412,f1255,f383,f375,f371,f387,f379,f1062]) ).
fof(f1433,plain,
( ! [X0] :
( ~ product(X0,e_6,e_5)
| equalish(X0,e_3) )
| ~ spl0_6 ),
inference(resolution,[],[f152,f61]) ).
fof(f1445,plain,
( equalish(e_2,e_3)
| ~ spl0_6
| ~ spl0_39 ),
inference(resolution,[],[f1433,f344]) ).
fof(f1449,plain,
( $false
| ~ spl0_6
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f1445,f34]) ).
fof(f1450,plain,
( ~ spl0_6
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1452,plain,
( equalish(e_2,e_6)
| ~ spl0_135 ),
inference(resolution,[],[f1064,f66]) ).
fof(f1458,plain,
( $false
| ~ spl0_135 ),
inference(forward_subsumption_resolution,[],[f1452,f37]) ).
fof(f1459,plain,
~ spl0_135,
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1466,plain,
( ! [X0] :
( ~ product(e_6,X0,e_3)
| product(e_5,e_6,X0) )
| ~ spl0_6 ),
inference(resolution,[],[f152,f63]) ).
fof(f1468,plain,
( ! [X0] :
( ~ product(X0,e_6,e_1)
| equalish(X0,e_2) )
| ~ spl0_43 ),
inference(resolution,[],[f360,f61]) ).
fof(f1473,plain,
( product(e_5,e_6,e_2)
| ~ spl0_6
| ~ spl0_123 ),
inference(resolution,[],[f1466,f900]) ).
fof(f1479,plain,
( equalish(e_3,e_6)
| ~ spl0_15
| ~ spl0_63 ),
inference(resolution,[],[f1036,f492]) ).
fof(f1480,plain,
( $false
| ~ spl0_15
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1479,f42]) ).
fof(f1481,plain,
( ~ spl0_15
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f1480]) ).
fof(f1482,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_6)
| ~ spl0_46 ),
inference(resolution,[],[f381,f75]) ).
fof(f1487,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_4)
| product(e_6,e_4,e_6)
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1482,f24]) ).
fof(f1488,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| product(e_6,e_4,e_6)
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f1487,f25]) ).
fof(f1489,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ spl0_46
| spl0_132 ),
inference(forward_subsumption_resolution,[],[f1488,f1021]) ).
fof(f1491,definition,
( spl0_150
<=> product(e_3,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_150])],[avatar_definition]) ).
fof(f1492,plain,
( ~ product(e_3,e_4,e_5)
| spl0_150 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1493,plain,
( product(e_3,e_4,e_5)
| ~ spl0_150 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1495,definition,
( spl0_151
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_151])],[avatar_definition]) ).
fof(f1496,plain,
( ~ product(e_3,e_4,e_4)
| spl0_151 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1497,plain,
( product(e_3,e_4,e_4)
| ~ spl0_151 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1499,definition,
( spl0_152
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_152])],[avatar_definition]) ).
fof(f1500,plain,
( ~ product(e_3,e_4,e_3)
| spl0_152 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f1501,plain,
( product(e_3,e_4,e_3)
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f1499]) ).
fof(f1503,definition,
( spl0_153
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_153])],[avatar_definition]) ).
fof(f1504,plain,
( ~ product(e_3,e_4,e_2)
| spl0_153 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1505,plain,
( product(e_3,e_4,e_2)
| ~ spl0_153 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1507,definition,
( spl0_154
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_154])],[avatar_definition]) ).
fof(f1508,plain,
( ~ product(e_3,e_4,e_1)
| spl0_154 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1509,plain,
( product(e_3,e_4,e_1)
| ~ spl0_154 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1510,plain,
( spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154
| ~ spl0_46
| spl0_132 ),
inference(avatar_split_clause,[],[f1489,f1020,f379,f1507,f1503,f1499,f1495,f1491]) ).
fof(f1511,plain,
( equalish(e_3,e_6)
| ~ spl0_129
| ~ spl0_153 ),
inference(resolution,[],[f1505,f1396]) ).
fof(f1512,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_6,e_3,e_4)
| ~ spl0_153 ),
inference(resolution,[],[f1505,f75]) ).
fof(f1517,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_6,e_3,e_4)
| spl0_59
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1512,f449]) ).
fof(f1518,plain,
( $false
| ~ spl0_129
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1511,f42]) ).
fof(f1519,plain,
( ~ spl0_129
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f1518]) ).
fof(f1520,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_6,e_3,e_4)
| spl0_58
| spl0_59
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1517,f445]) ).
fof(f1521,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_5)
| ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_6,e_3,e_4)
| spl0_57
| spl0_58
| spl0_59
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1520,f441]) ).
fof(f1522,plain,
( product(e_2,e_3,e_5)
| ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_6,e_3,e_4)
| spl0_56
| spl0_57
| spl0_58
| spl0_59
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1521,f437]) ).
fof(f1523,plain,
( ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_6,e_3,e_4)
| spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1522,f433]) ).
fof(f1524,plain,
( ~ group_element(e_3)
| product(e_6,e_3,e_4)
| spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1523,f23]) ).
fof(f1525,plain,
( product(e_6,e_3,e_4)
| spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1524,f24]) ).
fof(f1526,plain,
( $false
| spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59
| spl0_125
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f1525,f958]) ).
fof(f1527,plain,
( spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59
| spl0_125
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f1526]) ).
fof(f1533,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| ~ group_element(e_5)
| ~ group_element(e_4)
| product(e_6,e_4,e_2)
| ~ spl0_87 ),
inference(resolution,[],[f665,f75]) ).
fof(f1538,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| ~ group_element(e_4)
| product(e_6,e_4,e_2)
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f1533,f26]) ).
fof(f1539,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| product(e_6,e_4,e_2)
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f1538,f25]) ).
fof(f1540,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_5,e_4,e_5)
| ~ spl0_87
| spl0_129 ),
inference(forward_subsumption_resolution,[],[f1539,f1001]) ).
fof(f1541,plain,
( spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75
| ~ spl0_87
| spl0_129 ),
inference(avatar_split_clause,[],[f1540,f1000,f663,f565,f561,f557,f553,f549]) ).
fof(f1547,plain,
( equalish(e_5,e_4)
| ~ spl0_72 ),
inference(resolution,[],[f555,f70]) ).
fof(f1548,plain,
( $false
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f1547,f51]) ).
fof(f1549,plain,
~ spl0_72,
inference(avatar_contradiction_clause,[],[f1548]) ).
fof(f1556,plain,
( ! [X0] :
( ~ product(e_6,X0,e_2)
| equalish(X0,e_4) )
| ~ spl0_129 ),
inference(resolution,[],[f1002,f60]) ).
fof(f1580,plain,
( equalish(e_3,e_5)
| ~ spl0_9
| ~ spl0_15 ),
inference(resolution,[],[f164,f1035]) ).
fof(f1586,plain,
( $false
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f1580,f41]) ).
fof(f1587,plain,
( ~ spl0_9
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f1586]) ).
fof(f1592,plain,
( ! [X0] :
( ~ product(e_6,X0,e_3)
| product(e_4,e_6,X0) )
| ~ spl0_7 ),
inference(resolution,[],[f156,f63]) ).
fof(f1598,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_4)
| ~ spl0_150 ),
inference(resolution,[],[f1493,f75]) ).
fof(f1603,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_4)
| spl0_63
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f1598,f491]) ).
fof(f1604,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_4)
| spl0_61
| spl0_63
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f1603,f483]) ).
fof(f1605,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_3)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_4)
| spl0_60
| spl0_61
| spl0_63
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f1604,f479]) ).
fof(f1606,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_3)
| ~ group_element(e_3)
| product(e_6,e_3,e_4)
| spl0_60
| spl0_61
| spl0_63
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f1605,f26]) ).
fof(f1607,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_3)
| product(e_6,e_3,e_4)
| spl0_60
| spl0_61
| spl0_63
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f1606,f24]) ).
fof(f1608,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_3)
| spl0_60
| spl0_61
| spl0_63
| spl0_125
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f1607,f958]) ).
fof(f1609,plain,
( spl0_62
| spl0_64
| spl0_60
| spl0_61
| spl0_63
| spl0_125
| ~ spl0_150 ),
inference(avatar_split_clause,[],[f1608,f1491,f957,f490,f482,f478,f494,f486]) ).
fof(f1615,plain,
( equalish(e_3,e_4)
| ~ spl0_151 ),
inference(resolution,[],[f1497,f70]) ).
fof(f1616,plain,
( $false
| ~ spl0_151 ),
inference(forward_subsumption_resolution,[],[f1615,f40]) ).
fof(f1617,plain,
~ spl0_151,
inference(avatar_contradiction_clause,[],[f1616]) ).
fof(f1618,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_6)
| ~ spl0_48 ),
inference(resolution,[],[f389,f75]) ).
fof(f1622,plain,
( ! [X0] :
( ~ product(e_6,X0,e_4)
| product(e_1,e_6,X0) )
| ~ spl0_48 ),
inference(resolution,[],[f389,f63]) ).
fof(f1623,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ group_element(e_4)
| product(e_6,e_4,e_6)
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1618,f22]) ).
fof(f1624,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| product(e_6,e_4,e_6)
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1623,f25]) ).
fof(f1625,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ spl0_48
| spl0_132 ),
inference(forward_subsumption_resolution,[],[f1624,f1021]) ).
fof(f1627,definition,
( spl0_155
<=> product(e_1,e_4,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_155])],[avatar_definition]) ).
fof(f1628,plain,
( ~ product(e_1,e_4,e_5)
| spl0_155 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f1629,plain,
( product(e_1,e_4,e_5)
| ~ spl0_155 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f1631,definition,
( spl0_156
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_156])],[avatar_definition]) ).
fof(f1632,plain,
( ~ product(e_1,e_4,e_4)
| spl0_156 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f1633,plain,
( product(e_1,e_4,e_4)
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f1635,definition,
( spl0_157
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_157])],[avatar_definition]) ).
fof(f1636,plain,
( ~ product(e_1,e_4,e_3)
| spl0_157 ),
inference(avatar_component_clause,[],[f1635]) ).
fof(f1637,plain,
( product(e_1,e_4,e_3)
| ~ spl0_157 ),
inference(avatar_component_clause,[],[f1635]) ).
fof(f1639,definition,
( spl0_158
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_158])],[avatar_definition]) ).
fof(f1640,plain,
( ~ product(e_1,e_4,e_2)
| spl0_158 ),
inference(avatar_component_clause,[],[f1639]) ).
fof(f1641,plain,
( product(e_1,e_4,e_2)
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f1639]) ).
fof(f1643,definition,
( spl0_159
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_159])],[avatar_definition]) ).
fof(f1644,plain,
( ~ product(e_1,e_4,e_1)
| spl0_159 ),
inference(avatar_component_clause,[],[f1643]) ).
fof(f1645,plain,
( product(e_1,e_4,e_1)
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1643]) ).
fof(f1646,plain,
( spl0_155
| spl0_156
| spl0_157
| spl0_158
| spl0_159
| ~ spl0_48
| spl0_132 ),
inference(avatar_split_clause,[],[f1625,f1020,f387,f1643,f1639,f1635,f1631,f1627]) ).
fof(f1647,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ group_element(e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_4)
| ~ spl0_155 ),
inference(resolution,[],[f1629,f75]) ).
fof(f1652,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_4)
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f1647,f26]) ).
fof(f1653,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_6,e_1,e_4)
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f1652,f22]) ).
fof(f1655,definition,
( spl0_160
<=> product(e_6,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_160])],[avatar_definition]) ).
fof(f1656,plain,
( ~ product(e_6,e_1,e_4)
| spl0_160 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1657,plain,
( product(e_6,e_1,e_4)
| ~ spl0_160 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1658,plain,
( spl0_160
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107
| ~ spl0_155 ),
inference(avatar_split_clause,[],[f1653,f1627,f782,f778,f774,f770,f766,f1655]) ).
fof(f1672,plain,
( product(e_4,e_6,e_4)
| ~ spl0_7
| ~ spl0_70 ),
inference(resolution,[],[f1592,f547]) ).
fof(f1674,plain,
( $false
| ~ spl0_7
| spl0_45
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f1672,f376]) ).
fof(f1675,plain,
( ~ spl0_7
| spl0_45
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[],[f1674]) ).
fof(f1680,plain,
( ! [X0] :
( ~ product(e_6,X0,e_3)
| product(e_1,e_6,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f168,f63]) ).
fof(f1681,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ group_element(e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_3)
| ~ spl0_76 ),
inference(resolution,[],[f600,f75]) ).
fof(f1686,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_3)
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f1681,f26]) ).
fof(f1687,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_5,e_1,e_5)
| product(e_6,e_1,e_3)
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f1686,f22]) ).
fof(f1689,definition,
( spl0_161
<=> product(e_6,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_161])],[avatar_definition]) ).
fof(f1690,plain,
( ~ product(e_6,e_1,e_3)
| spl0_161 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f1691,plain,
( product(e_6,e_1,e_3)
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f1692,plain,
( spl0_161
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f1687,f598,f782,f778,f774,f770,f766,f1689]) ).
fof(f1706,plain,
( product(e_1,e_6,e_1)
| ~ spl0_10
| ~ spl0_161 ),
inference(resolution,[],[f1680,f1691]) ).
fof(f1707,plain,
( product(e_1,e_6,e_4)
| ~ spl0_10
| ~ spl0_70 ),
inference(resolution,[],[f1680,f547]) ).
fof(f1711,plain,
( $false
| ~ spl0_10
| spl0_53
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f1706,f417]) ).
fof(f1712,plain,
( ~ spl0_10
| spl0_53
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f1711]) ).
fof(f1721,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ group_element(e_1)
| ~ group_element(e_5)
| product(e_6,e_5,e_4)
| ~ spl0_75 ),
inference(resolution,[],[f567,f75]) ).
fof(f1726,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_4)
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f1721,f22]) ).
fof(f1727,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| product(e_6,e_5,e_4)
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f1726,f26]) ).
fof(f1728,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| spl0_1
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f1727,f107]) ).
fof(f1729,plain,
( spl0_34
| spl0_35
| spl0_36
| spl0_37
| spl0_38
| spl0_1
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1728,f565,f106,f329,f325,f321,f317,f313]) ).
fof(f1735,plain,
( equalish(e_1,e_6)
| ~ spl0_136 ),
inference(resolution,[],[f1068,f66]) ).
fof(f1741,plain,
( $false
| ~ spl0_136 ),
inference(forward_subsumption_resolution,[],[f1735,f32]) ).
fof(f1742,plain,
~ spl0_136,
inference(avatar_contradiction_clause,[],[f1741]) ).
fof(f1750,plain,
( equalish(e_1,e_4)
| ~ spl0_129
| ~ spl0_139 ),
inference(resolution,[],[f1556,f1140]) ).
fof(f1751,plain,
( equalish(e_3,e_4)
| ~ spl0_127
| ~ spl0_129 ),
inference(resolution,[],[f1556,f967]) ).
fof(f1753,plain,
( equalish(e_5,e_4)
| ~ spl0_3
| ~ spl0_129 ),
inference(resolution,[],[f1556,f116]) ).
fof(f1755,plain,
( $false
| ~ spl0_3
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f1753,f51]) ).
fof(f1756,plain,
( ~ spl0_3
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f1755]) ).
fof(f1757,plain,
( $false
| ~ spl0_127
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f1751,f40]) ).
fof(f1758,plain,
( ~ spl0_127
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1759,plain,
( $false
| ~ spl0_129
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f1750,f30]) ).
fof(f1760,plain,
( ~ spl0_129
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f1759]) ).
fof(f1766,plain,
( equalish(e_6,e_4)
| ~ spl0_149 ),
inference(resolution,[],[f1371,f70]) ).
fof(f1767,plain,
( $false
| ~ spl0_149 ),
inference(forward_subsumption_resolution,[],[f1766,f56]) ).
fof(f1768,plain,
~ spl0_149,
inference(avatar_contradiction_clause,[],[f1767]) ).
fof(f1770,plain,
( ! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(X0,e_6) )
| ~ spl0_130 ),
inference(resolution,[],[f1006,f61]) ).
fof(f1771,plain,
( ! [X0] :
( ~ product(e_6,X0,e_1)
| equalish(X0,e_4) )
| ~ spl0_130 ),
inference(resolution,[],[f1006,f60]) ).
fof(f1788,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| ~ group_element(e_3)
| ~ group_element(e_5)
| product(e_6,e_5,e_1)
| ~ spl0_105 ),
inference(resolution,[],[f776,f75]) ).
fof(f1793,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_1)
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f1788,f24]) ).
fof(f1794,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| product(e_6,e_5,e_1)
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f1793,f26]) ).
fof(f1795,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| spl0_4
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f1794,f119]) ).
fof(f1796,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27
| spl0_28
| spl0_4
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f1795,f774,f118,f273,f269,f265,f261,f257]) ).
fof(f1808,plain,
( equalish(e_5,e_6)
| ~ spl0_75
| ~ spl0_130 ),
inference(resolution,[],[f1770,f567]) ).
fof(f1810,plain,
( $false
| ~ spl0_75
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f1808,f52]) ).
fof(f1811,plain,
( ~ spl0_75
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f1810]) ).
fof(f1817,plain,
( equalish(e_4,e_5)
| ~ spl0_71 ),
inference(resolution,[],[f551,f68]) ).
fof(f1820,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f1817,f46]) ).
fof(f1821,plain,
~ spl0_71,
inference(avatar_contradiction_clause,[],[f1820]) ).
fof(f1822,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| ~ group_element(e_3)
| ~ group_element(e_5)
| product(e_6,e_5,e_4)
| ~ spl0_73 ),
inference(resolution,[],[f559,f75]) ).
fof(f1831,plain,
( equalish(e_5,e_4)
| ~ spl0_4
| ~ spl0_130 ),
inference(resolution,[],[f1771,f120]) ).
fof(f1833,plain,
( $false
| ~ spl0_4
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f1831,f51]) ).
fof(f1834,plain,
( ~ spl0_4
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f1833]) ).
fof(f1835,plain,
( equalish(e_1,e_6)
| ~ spl0_15
| ~ spl0_106 ),
inference(resolution,[],[f780,f1036]) ).
fof(f1841,plain,
( $false
| ~ spl0_15
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f1835,f32]) ).
fof(f1842,plain,
( ~ spl0_15
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f1841]) ).
fof(f1847,plain,
( ! [X0] :
( ~ product(e_6,X0,e_2)
| product(e_4,e_6,X0) )
| ~ spl0_40 ),
inference(resolution,[],[f348,f63]) ).
fof(f1857,plain,
( equalish(e_4,e_2)
| ~ spl0_43
| ~ spl0_48 ),
inference(resolution,[],[f1468,f389]) ).
fof(f1859,plain,
( $false
| ~ spl0_43
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1857,f44]) ).
fof(f1860,plain,
( ~ spl0_43
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1865,plain,
( product(e_1,e_6,e_1)
| ~ spl0_48
| ~ spl0_160 ),
inference(resolution,[],[f1622,f1657]) ).
fof(f1866,plain,
( product(e_1,e_6,e_2)
| ~ spl0_48
| ~ spl0_145 ),
inference(resolution,[],[f1622,f1257]) ).
fof(f1867,plain,
( product(e_1,e_6,e_5)
| ~ spl0_1
| ~ spl0_48 ),
inference(resolution,[],[f1622,f108]) ).
fof(f1871,plain,
( $false
| ~ spl0_48
| spl0_52
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f1866,f413]) ).
fof(f1872,plain,
( ~ spl0_48
| spl0_52
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f1871]) ).
fof(f1873,plain,
( $false
| ~ spl0_48
| spl0_53
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1865,f417]) ).
fof(f1874,plain,
( ~ spl0_48
| spl0_53
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f1873]) ).
fof(f1885,plain,
( equalish(e_1,e_6)
| ~ spl0_102 ),
inference(resolution,[],[f764,f68]) ).
fof(f1890,plain,
( $false
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[],[f1885,f32]) ).
fof(f1891,plain,
~ spl0_102,
inference(avatar_contradiction_clause,[],[f1890]) ).
fof(f1904,plain,
( equalish(e_1,e_5)
| ~ spl0_103 ),
inference(resolution,[],[f768,f68]) ).
fof(f1907,plain,
( $false
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[],[f1904,f31]) ).
fof(f1908,plain,
~ spl0_103,
inference(avatar_contradiction_clause,[],[f1907]) ).
fof(f1913,plain,
( ! [X0] :
( ~ product(e_6,X0,e_4)
| product(e_5,e_6,X0) )
| ~ spl0_44 ),
inference(resolution,[],[f373,f63]) ).
fof(f1928,plain,
( product(e_4,e_6,e_1)
| product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| ~ spl0_160 ),
inference(resolution,[],[f1657,f75]) ).
fof(f1933,plain,
( ~ group_element(e_1)
| product(e_6,e_1,e_1)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5)
| ~ group_element(e_6)
| spl0_102 ),
inference(resolution,[],[f763,f58]) ).
fof(f1937,plain,
( product(e_5,e_6,e_1)
| ~ spl0_44
| ~ spl0_160 ),
inference(resolution,[],[f1913,f1657]) ).
fof(f1938,plain,
( product(e_5,e_6,e_2)
| ~ spl0_44
| ~ spl0_145 ),
inference(resolution,[],[f1913,f1257]) ).
fof(f1939,plain,
( product(e_5,e_6,e_5)
| ~ spl0_1
| ~ spl0_44 ),
inference(resolution,[],[f1913,f108]) ).
fof(f1941,plain,
( $false
| ~ spl0_1
| spl0_12
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1939,f175]) ).
fof(f1942,plain,
( ~ spl0_1
| spl0_12
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1941]) ).
fof(f1943,plain,
( $false
| spl0_16
| ~ spl0_44
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1937,f191]) ).
fof(f1944,plain,
( spl0_16
| ~ spl0_44
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f1945,plain,
( product(e_4,e_6,e_2)
| product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_48
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1928,f388]) ).
fof(f1946,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_4)
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1822,f24]) ).
fof(f1947,plain,
( product(e_4,e_6,e_3)
| product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_47
| spl0_48
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1945,f384]) ).
fof(f1948,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| product(e_6,e_5,e_4)
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1946,f26]) ).
fof(f1949,plain,
( product(e_4,e_6,e_4)
| product(e_4,e_6,e_5)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_46
| spl0_47
| spl0_48
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1947,f380]) ).
fof(f1950,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| spl0_1
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f1948,f107]) ).
fof(f1951,plain,
( product(e_4,e_6,e_5)
| ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_45
| spl0_46
| spl0_47
| spl0_48
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1949,f376]) ).
fof(f1952,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27
| spl0_28
| spl0_1
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1950,f557,f106,f273,f269,f265,f261,f257]) ).
fof(f1953,plain,
( ~ group_element(e_4)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_44
| spl0_45
| spl0_46
| spl0_47
| spl0_48
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1951,f372]) ).
fof(f1954,plain,
( ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_44
| spl0_45
| spl0_46
| spl0_47
| spl0_48
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1953,f25]) ).
fof(f1955,plain,
( product(e_6,e_6,e_1)
| spl0_44
| spl0_45
| spl0_46
| spl0_47
| spl0_48
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1954,f27]) ).
fof(f1956,plain,
( $false
| spl0_44
| spl0_45
| spl0_46
| spl0_47
| spl0_48
| spl0_136
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f1955,f1067]) ).
fof(f1957,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47
| spl0_48
| spl0_136
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f1956]) ).
fof(f1967,plain,
( ! [X0] :
( ~ product(e_6,X0,e_4)
| product(e_3,e_6,X0) )
| ~ spl0_46 ),
inference(resolution,[],[f381,f63]) ).
fof(f1973,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ group_element(e_4)
| ~ group_element(e_5)
| product(e_6,e_5,e_1)
| ~ spl0_104 ),
inference(resolution,[],[f772,f75]) ).
fof(f1978,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_1)
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f1973,f25]) ).
fof(f1979,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| product(e_6,e_5,e_1)
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f1978,f26]) ).
fof(f1980,plain,
( product(e_4,e_5,e_1)
| product(e_4,e_5,e_2)
| product(e_4,e_5,e_3)
| product(e_4,e_5,e_4)
| product(e_4,e_5,e_5)
| spl0_4
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f1979,f119]) ).
fof(f1981,plain,
( spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_4
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1980,f770,f118,f245,f241,f237,f233,f229]) ).
fof(f1992,plain,
( equalish(e_4,e_3)
| ~ spl0_152 ),
inference(resolution,[],[f1501,f68]) ).
fof(f1995,plain,
( $false
| ~ spl0_152 ),
inference(forward_subsumption_resolution,[],[f1992,f45]) ).
fof(f1996,plain,
~ spl0_152,
inference(avatar_contradiction_clause,[],[f1995]) ).
fof(f2017,plain,
( product(e_3,e_6,e_1)
| ~ spl0_46
| ~ spl0_160 ),
inference(resolution,[],[f1967,f1657]) ).
fof(f2018,plain,
( product(e_3,e_6,e_5)
| ~ spl0_1
| ~ spl0_46 ),
inference(resolution,[],[f1967,f108]) ).
fof(f2020,plain,
( $false
| ~ spl0_1
| spl0_6
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2018,f151]) ).
fof(f2021,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2020]) ).
fof(f2022,plain,
( $false
| spl0_10
| ~ spl0_46
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f2017,f167]) ).
fof(f2023,plain,
( spl0_10
| ~ spl0_46
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f2022]) ).
fof(f2024,plain,
( equalish(e_4,e_6)
| ~ spl0_15
| ~ spl0_74 ),
inference(resolution,[],[f563,f1036]) ).
fof(f2030,plain,
( $false
| ~ spl0_15
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f2024,f47]) ).
fof(f2031,plain,
( ~ spl0_15
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f2030]) ).
fof(f2048,plain,
( equalish(e_4,e_1)
| ~ spl0_159 ),
inference(resolution,[],[f1645,f68]) ).
fof(f2051,plain,
( $false
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[],[f2048,f43]) ).
fof(f2052,plain,
~ spl0_159,
inference(avatar_contradiction_clause,[],[f2051]) ).
fof(f2058,plain,
( product(e_4,e_6,e_1)
| ~ spl0_40
| ~ spl0_139 ),
inference(resolution,[],[f1847,f1140]) ).
fof(f2059,plain,
( product(e_4,e_6,e_3)
| ~ spl0_40
| ~ spl0_127 ),
inference(resolution,[],[f1847,f967]) ).
fof(f2060,plain,
( product(e_4,e_6,e_5)
| ~ spl0_3
| ~ spl0_40 ),
inference(resolution,[],[f1847,f116]) ).
fof(f2064,plain,
( spl0_46
| ~ spl0_40
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f2059,f965,f346,f379]) ).
fof(f2069,plain,
( ! [X0] :
( ~ product(e_6,X0,e_1)
| equalish(X0,e_4) )
| ~ spl0_130 ),
inference(resolution,[],[f1006,f60]) ).
fof(f2073,plain,
( ! [X0] :
( ~ product(X0,e_6,e_1)
| equalish(X0,e_2) )
| ~ spl0_43 ),
inference(resolution,[],[f360,f61]) ).
fof(f2108,plain,
( equalish(e_2,e_4)
| ~ spl0_130
| ~ spl0_147 ),
inference(resolution,[],[f2069,f1318]) ).
fof(f2111,plain,
( $false
| ~ spl0_130
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f2108,f35]) ).
fof(f2112,plain,
( ~ spl0_130
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f2111]) ).
fof(f2114,plain,
( product(e_6,e_1,e_1)
| product(e_6,e_1,e_2)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5)
| ~ group_element(e_6)
| spl0_102 ),
inference(forward_subsumption_resolution,[],[f1933,f22]) ).
fof(f2116,plain,
( product(e_6,e_1,e_1)
| product(e_6,e_1,e_3)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5)
| ~ group_element(e_6)
| spl0_102
| spl0_139 ),
inference(forward_subsumption_resolution,[],[f2114,f1139]) ).
fof(f2118,plain,
( product(e_6,e_1,e_1)
| product(e_6,e_1,e_4)
| product(e_6,e_1,e_5)
| ~ group_element(e_6)
| spl0_102
| spl0_139
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f2116,f1690]) ).
fof(f2120,plain,
( product(e_6,e_1,e_1)
| product(e_6,e_1,e_5)
| ~ group_element(e_6)
| spl0_102
| spl0_139
| spl0_160
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f2118,f1656]) ).
fof(f2122,definition,
( spl0_162
<=> product(e_6,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_162])],[avatar_definition]) ).
fof(f2124,plain,
( product(e_6,e_1,e_1)
| ~ spl0_162 ),
inference(avatar_component_clause,[],[f2122]) ).
fof(f2126,definition,
( spl0_163
<=> product(e_6,e_1,e_5) ),
introduced(definition,[new_symbols(definition,[spl0_163])],[avatar_definition]) ).
fof(f2127,plain,
( ~ product(e_6,e_1,e_5)
| spl0_163 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f2128,plain,
( product(e_6,e_1,e_5)
| ~ spl0_163 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f2130,plain,
( product(e_6,e_1,e_1)
| product(e_6,e_1,e_5)
| spl0_102
| spl0_139
| spl0_160
| spl0_161 ),
inference(forward_subsumption_resolution,[],[f2120,f27]) ).
fof(f2131,plain,
( spl0_163
| spl0_162
| spl0_102
| spl0_139
| spl0_160
| spl0_161 ),
inference(avatar_split_clause,[],[f2130,f1689,f1655,f1138,f762,f2122,f2126]) ).
fof(f2138,plain,
( ! [X0] :
( ~ product(X0,e_6,e_4)
| equalish(X0,e_2) )
| ~ spl0_40 ),
inference(resolution,[],[f348,f61]) ).
fof(f2142,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ group_element(e_1)
| ~ group_element(e_5)
| product(e_6,e_5,e_2)
| ~ spl0_86 ),
inference(resolution,[],[f653,f75]) ).
fof(f2147,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_2)
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f2142,f22]) ).
fof(f2148,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| product(e_6,e_5,e_2)
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f2147,f26]) ).
fof(f2149,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| spl0_3
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f2148,f115]) ).
fof(f2150,plain,
( spl0_34
| spl0_35
| spl0_36
| spl0_37
| spl0_38
| spl0_3
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f2149,f651,f114,f329,f325,f321,f317,f313]) ).
fof(f2151,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| ~ group_element(e_3)
| ~ group_element(e_5)
| product(e_6,e_5,e_2)
| ~ spl0_84 ),
inference(resolution,[],[f645,f75]) ).
fof(f2156,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_2)
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f2151,f24]) ).
fof(f2157,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| product(e_6,e_5,e_2)
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f2156,f26]) ).
fof(f2158,plain,
( product(e_3,e_5,e_1)
| product(e_3,e_5,e_2)
| product(e_3,e_5,e_3)
| product(e_3,e_5,e_4)
| product(e_3,e_5,e_5)
| spl0_3
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f2157,f115]) ).
fof(f2159,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27
| spl0_28
| spl0_3
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f2158,f643,f114,f273,f269,f265,f261,f257]) ).
fof(f2171,plain,
( equalish(e_4,e_2)
| ~ spl0_143 ),
inference(resolution,[],[f1238,f68]) ).
fof(f2174,plain,
( $false
| ~ spl0_143 ),
inference(forward_subsumption_resolution,[],[f2171,f44]) ).
fof(f2175,plain,
~ spl0_143,
inference(avatar_contradiction_clause,[],[f2174]) ).
fof(f2186,plain,
( equalish(e_5,e_1)
| ~ spl0_107 ),
inference(resolution,[],[f784,f70]) ).
fof(f2187,plain,
( $false
| ~ spl0_107 ),
inference(forward_subsumption_resolution,[],[f2186,f48]) ).
fof(f2188,plain,
~ spl0_107,
inference(avatar_contradiction_clause,[],[f2187]) ).
fof(f2204,plain,
( equalish(e_6,e_1)
| ~ spl0_162 ),
inference(resolution,[],[f2124,f70]) ).
fof(f2205,plain,
( $false
| ~ spl0_162 ),
inference(forward_subsumption_resolution,[],[f2204,f53]) ).
fof(f2206,plain,
~ spl0_162,
inference(avatar_contradiction_clause,[],[f2205]) ).
fof(f2207,plain,
( product(e_2,e_6,e_1)
| ~ spl0_15
| ~ spl0_163 ),
inference(resolution,[],[f2128,f1038]) ).
fof(f2208,plain,
( product(e_5,e_6,e_1)
| product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5)
| ~ group_element(e_5)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| ~ spl0_163 ),
inference(resolution,[],[f2128,f75]) ).
fof(f2224,plain,
( equalish(e_1,e_2)
| ~ spl0_40
| ~ spl0_50 ),
inference(resolution,[],[f2138,f406]) ).
fof(f2227,plain,
( $false
| ~ spl0_40
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2224,f28]) ).
fof(f2228,plain,
( ~ spl0_40
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2227]) ).
fof(f2233,plain,
( ! [X0] :
( ~ product(e_6,X0,e_1)
| product(e_5,e_6,X0) )
| ~ spl0_49 ),
inference(resolution,[],[f402,f63]) ).
fof(f2239,plain,
( product(e_5,e_6,e_2)
| ~ spl0_49
| ~ spl0_147 ),
inference(resolution,[],[f2233,f1318]) ).
fof(f2240,plain,
( product(e_5,e_6,e_3)
| ~ spl0_49
| ~ spl0_128 ),
inference(resolution,[],[f2233,f971]) ).
fof(f2241,plain,
( product(e_5,e_6,e_5)
| ~ spl0_4
| ~ spl0_49 ),
inference(resolution,[],[f2233,f120]) ).
fof(f2243,plain,
( $false
| ~ spl0_4
| spl0_12
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2241,f175]) ).
fof(f2244,plain,
( ~ spl0_4
| spl0_12
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2243]) ).
fof(f2245,plain,
( $false
| spl0_14
| ~ spl0_49
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f2240,f183]) ).
fof(f2246,plain,
( spl0_14
| ~ spl0_49
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f2245]) ).
fof(f2247,plain,
( equalish(e_1,e_5)
| ~ spl0_15
| ~ spl0_52 ),
inference(resolution,[],[f414,f1035]) ).
fof(f2253,plain,
( $false
| ~ spl0_15
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f2247,f31]) ).
fof(f2254,plain,
( ~ spl0_15
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f2253]) ).
fof(f2259,plain,
( ! [X0] :
( ~ product(e_6,X0,e_1)
| product(e_3,e_6,X0) )
| ~ spl0_51 ),
inference(resolution,[],[f410,f63]) ).
fof(f2267,plain,
( product(e_3,e_6,e_2)
| ~ spl0_51
| ~ spl0_147 ),
inference(resolution,[],[f2259,f1318]) ).
fof(f2268,plain,
( product(e_3,e_6,e_3)
| ~ spl0_51
| ~ spl0_128 ),
inference(resolution,[],[f2259,f971]) ).
fof(f2269,plain,
( product(e_3,e_6,e_5)
| ~ spl0_4
| ~ spl0_51 ),
inference(resolution,[],[f2259,f120]) ).
fof(f2273,plain,
( $false
| spl0_8
| ~ spl0_51
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f2268,f159]) ).
fof(f2274,plain,
( spl0_8
| ~ spl0_51
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f2273]) ).
fof(f2275,plain,
( $false
| spl0_9
| ~ spl0_51
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f2267,f163]) ).
fof(f2276,plain,
( spl0_9
| ~ spl0_51
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f2275]) ).
fof(f2277,plain,
( equalish(e_5,e_2)
| ~ spl0_13
| ~ spl0_40 ),
inference(resolution,[],[f180,f2138]) ).
fof(f2283,plain,
( $false
| ~ spl0_13
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f2277,f49]) ).
fof(f2284,plain,
( ~ spl0_13
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f2283]) ).
fof(f2287,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5)
| ~ group_element(e_5)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_16
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2208,f191]) ).
fof(f2290,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_5)
| ~ group_element(e_5)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_15
| spl0_16
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2287,f187]) ).
fof(f2293,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_5)
| ~ group_element(e_5)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_14
| spl0_15
| spl0_16
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2290,f183]) ).
fof(f2296,plain,
( product(e_5,e_6,e_5)
| ~ group_element(e_5)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2293,f179]) ).
fof(f2298,plain,
( ~ group_element(e_5)
| ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2296,f175]) ).
fof(f2300,plain,
( ~ group_element(e_6)
| product(e_6,e_6,e_1)
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2298,f26]) ).
fof(f2302,plain,
( product(e_6,e_6,e_1)
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2300,f27]) ).
fof(f2304,plain,
( $false
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_136
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2302,f1067]) ).
fof(f2305,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_136
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f2304]) ).
fof(f2309,plain,
( ! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(X0,e_6) )
| ~ spl0_130 ),
inference(resolution,[],[f1006,f61]) ).
fof(f2310,plain,
( ! [X0] :
( ~ product(e_6,X0,e_1)
| equalish(X0,e_4) )
| ~ spl0_130 ),
inference(resolution,[],[f1006,f60]) ).
fof(f2319,plain,
( ! [X0] :
( ~ product(X0,e_6,e_4)
| equalish(X0,e_5) )
| ~ spl0_13 ),
inference(resolution,[],[f180,f61]) ).
fof(f2322,plain,
( ! [X0] :
( ~ product(e_6,X0,e_5)
| product(e_4,e_6,X0) )
| ~ spl0_13 ),
inference(resolution,[],[f180,f63]) ).
fof(f2332,plain,
( ! [X0] :
( ~ product(e_6,X0,e_4)
| product(e_3,e_6,X0) )
| ~ spl0_46 ),
inference(resolution,[],[f381,f63]) ).
fof(f2334,plain,
( ! [X0] :
( ~ product(X0,e_6,e_2)
| equalish(X0,e_1) )
| ~ spl0_52 ),
inference(resolution,[],[f414,f61]) ).
fof(f2343,plain,
( equalish(e_4,e_5)
| ~ spl0_19 ),
inference(resolution,[],[f231,f70]) ).
fof(f2344,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f2343,f46]) ).
fof(f2345,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f2344]) ).
fof(f2346,plain,
( product(e_2,e_4,e_1)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| ~ group_element(e_2)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_22 ),
inference(resolution,[],[f243,f75]) ).
fof(f2356,plain,
( equalish(e_3,e_2)
| ~ spl0_95 ),
inference(resolution,[],[f705,f70]) ).
fof(f2357,plain,
( $false
| ~ spl0_95 ),
inference(forward_subsumption_resolution,[],[f2356,f39]) ).
fof(f2358,plain,
~ spl0_95,
inference(avatar_contradiction_clause,[],[f2357]) ).
fof(f2364,plain,
( equalish(e_2,e_3)
| ~ spl0_94 ),
inference(resolution,[],[f701,f68]) ).
fof(f2367,plain,
( $false
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f2364,f34]) ).
fof(f2368,plain,
~ spl0_94,
inference(avatar_contradiction_clause,[],[f2367]) ).
fof(f2380,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_1)
| ~ spl0_106 ),
inference(resolution,[],[f780,f75]) ).
fof(f2390,plain,
( equalish(e_4,e_3)
| ~ spl0_67 ),
inference(resolution,[],[f527,f70]) ).
fof(f2391,plain,
( $false
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f2390,f45]) ).
fof(f2392,plain,
~ spl0_67,
inference(avatar_contradiction_clause,[],[f2391]) ).
fof(f2437,plain,
( product(e_6,e_2,e_4)
| product(e_6,e_2,e_1)
| ~ group_element(e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| ~ spl0_11
| spl0_135 ),
inference(resolution,[],[f172,f1063]) ).
fof(f2459,plain,
( equalish(e_3,e_5)
| ~ spl0_7
| ~ spl0_13 ),
inference(resolution,[],[f2319,f156]) ).
fof(f2464,plain,
( $false
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f2459,f41]) ).
fof(f2465,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f2464]) ).
fof(f2466,plain,
( equalish(e_3,e_2)
| ~ spl0_10
| ~ spl0_43 ),
inference(resolution,[],[f168,f2073]) ).
fof(f2471,plain,
( ! [X0] :
( ~ product(e_6,X0,e_3)
| product(e_1,e_6,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f168,f63]) ).
fof(f2472,plain,
( $false
| ~ spl0_10
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f2466,f39]) ).
fof(f2473,plain,
( ~ spl0_10
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f2472]) ).
fof(f2489,plain,
( ! [X0] :
( ~ product(X0,e_6,e_3)
| equalish(X0,e_2) )
| ~ spl0_41 ),
inference(resolution,[],[f352,f61]) ).
fof(f2493,plain,
( product(e_1,e_6,e_5)
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f2471,f112]) ).
fof(f2508,plain,
( product(e_4,e_6,e_1)
| ~ spl0_13
| ~ spl0_163 ),
inference(resolution,[],[f2322,f2128]) ).
fof(f2509,plain,
( product(e_4,e_6,e_4)
| ~ spl0_13
| ~ spl0_148 ),
inference(resolution,[],[f2322,f1367]) ).
fof(f2512,plain,
( $false
| ~ spl0_13
| spl0_45
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f2509,f376]) ).
fof(f2513,plain,
( ~ spl0_13
| spl0_45
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f2512]) ).
fof(f2514,plain,
( $false
| ~ spl0_13
| spl0_48
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2508,f388]) ).
fof(f2515,plain,
( ~ spl0_13
| spl0_48
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f2514]) ).
fof(f2518,plain,
( equalish(e_2,e_6)
| ~ spl0_130
| ~ spl0_144 ),
inference(resolution,[],[f2309,f1242]) ).
fof(f2520,plain,
( $false
| ~ spl0_130
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f2518,f37]) ).
fof(f2521,plain,
( ~ spl0_130
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f2520]) ).
fof(f2522,plain,
( product(e_2,e_4,e_2)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| ~ group_element(e_2)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_22
| spl0_144 ),
inference(forward_subsumption_resolution,[],[f2346,f1241]) ).
fof(f2524,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_4)
| product(e_2,e_4,e_5)
| ~ group_element(e_2)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_22
| spl0_143
| spl0_144 ),
inference(forward_subsumption_resolution,[],[f2522,f1237]) ).
fof(f2526,plain,
( product(e_2,e_4,e_3)
| product(e_2,e_4,e_5)
| ~ group_element(e_2)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_22
| spl0_141
| spl0_143
| spl0_144 ),
inference(forward_subsumption_resolution,[],[f2524,f1229]) ).
fof(f2528,plain,
( product(e_2,e_4,e_3)
| ~ group_element(e_2)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_22
| spl0_140
| spl0_141
| spl0_143
| spl0_144 ),
inference(forward_subsumption_resolution,[],[f2526,f1225]) ).
fof(f2530,plain,
( product(e_2,e_4,e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_22
| spl0_140
| spl0_141
| spl0_143
| spl0_144 ),
inference(forward_subsumption_resolution,[],[f2528,f23]) ).
fof(f2532,plain,
( product(e_2,e_4,e_3)
| product(e_6,e_4,e_5)
| ~ spl0_22
| spl0_140
| spl0_141
| spl0_143
| spl0_144 ),
inference(forward_subsumption_resolution,[],[f2530,f25]) ).
fof(f2534,plain,
( product(e_2,e_4,e_3)
| ~ spl0_22
| spl0_140
| spl0_141
| spl0_143
| spl0_144
| spl0_148 ),
inference(forward_subsumption_resolution,[],[f2532,f1366]) ).
fof(f2536,plain,
( spl0_142
| ~ spl0_22
| spl0_140
| spl0_141
| spl0_143
| spl0_144
| spl0_148 ),
inference(avatar_split_clause,[],[f2534,f1365,f1240,f1236,f1228,f1224,f241,f1232]) ).
fof(f2548,plain,
( equalish(e_3,e_4)
| ~ spl0_128
| ~ spl0_130 ),
inference(resolution,[],[f2310,f971]) ).
fof(f2552,plain,
( $false
| ~ spl0_128
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f2548,f40]) ).
fof(f2553,plain,
( ~ spl0_128
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f2552]) ).
fof(f2571,plain,
( product(e_4,e_6,e_3)
| ~ spl0_13
| ~ spl0_124 ),
inference(resolution,[],[f955,f2322]) ).
fof(f2580,plain,
( equalish(e_4,e_2)
| ~ spl0_41
| ~ spl0_46 ),
inference(resolution,[],[f2489,f381]) ).
fof(f2583,plain,
( $false
| ~ spl0_41
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2580,f44]) ).
fof(f2584,plain,
( ~ spl0_41
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2583]) ).
fof(f2589,plain,
( ! [X0] :
( ~ product(e_6,X0,e_2)
| product(e_5,e_6,X0) )
| ~ spl0_39 ),
inference(resolution,[],[f344,f63]) ).
fof(f2591,plain,
( ! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(X0,e_5) )
| ~ spl0_86 ),
inference(resolution,[],[f653,f61]) ).
fof(f2607,plain,
( product(e_3,e_6,e_2)
| ~ spl0_46
| ~ spl0_145 ),
inference(resolution,[],[f2332,f1257]) ).
fof(f2608,plain,
( product(e_3,e_6,e_3)
| ~ spl0_46
| ~ spl0_125 ),
inference(resolution,[],[f2332,f959]) ).
fof(f2611,plain,
( $false
| spl0_8
| ~ spl0_46
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f2608,f159]) ).
fof(f2612,plain,
( spl0_8
| ~ spl0_46
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f2611]) ).
fof(f2613,plain,
( $false
| spl0_9
| ~ spl0_46
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f2607,f163]) ).
fof(f2614,plain,
( spl0_9
| ~ spl0_46
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f2613]) ).
fof(f2615,plain,
( $false
| ~ spl0_13
| spl0_46
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f2571,f380]) ).
fof(f2616,plain,
( ~ spl0_13
| spl0_46
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f2615]) ).
fof(f2617,plain,
( equalish(e_4,e_1)
| ~ spl0_47
| ~ spl0_52 ),
inference(resolution,[],[f385,f2334]) ).
fof(f2623,plain,
( $false
| ~ spl0_47
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f2617,f43]) ).
fof(f2624,plain,
( ~ spl0_47
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f2623]) ).
fof(f2629,plain,
( ! [X0] :
( ~ product(e_6,X0,e_4)
| product(e_1,e_6,X0) )
| ~ spl0_48 ),
inference(resolution,[],[f389,f63]) ).
fof(f2637,plain,
( product(e_1,e_6,e_3)
| ~ spl0_48
| ~ spl0_125 ),
inference(resolution,[],[f2629,f959]) ).
fof(f2654,plain,
( product(e_5,e_6,e_1)
| ~ spl0_39
| ~ spl0_139 ),
inference(resolution,[],[f2589,f1140]) ).
fof(f2655,plain,
( product(e_5,e_6,e_3)
| ~ spl0_39
| ~ spl0_127 ),
inference(resolution,[],[f2589,f967]) ).
fof(f2656,plain,
( product(e_5,e_6,e_5)
| ~ spl0_3
| ~ spl0_39 ),
inference(resolution,[],[f2589,f116]) ).
fof(f2659,plain,
( $false
| ~ spl0_3
| spl0_12
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f2656,f175]) ).
fof(f2660,plain,
( ~ spl0_3
| spl0_12
| ~ spl0_39 ),
inference(avatar_contradiction_clause,[],[f2659]) ).
fof(f2661,plain,
( $false
| spl0_14
| ~ spl0_39
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f2655,f183]) ).
fof(f2662,plain,
( spl0_14
| ~ spl0_39
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f2661]) ).
fof(f2663,plain,
( $false
| spl0_16
| ~ spl0_39
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f2654,f191]) ).
fof(f2664,plain,
( spl0_16
| ~ spl0_39
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f2663]) ).
fof(f2669,plain,
( ! [X0] :
( ~ product(e_6,X0,e_2)
| product(e_3,e_6,X0) )
| ~ spl0_41 ),
inference(resolution,[],[f352,f63]) ).
fof(f2673,plain,
( product(e_3,e_6,e_1)
| ~ spl0_41
| ~ spl0_139 ),
inference(resolution,[],[f2669,f1140]) ).
fof(f2674,plain,
( product(e_3,e_6,e_3)
| ~ spl0_41
| ~ spl0_127 ),
inference(resolution,[],[f2669,f967]) ).
fof(f2675,plain,
( product(e_3,e_6,e_5)
| ~ spl0_3
| ~ spl0_41 ),
inference(resolution,[],[f2669,f116]) ).
fof(f2680,plain,
( $false
| spl0_8
| ~ spl0_41
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f2674,f159]) ).
fof(f2681,plain,
( spl0_8
| ~ spl0_41
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f2680]) ).
fof(f2682,plain,
( spl0_10
| ~ spl0_41
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2673,f1138,f350,f166]) ).
fof(f2693,plain,
( equalish(e_1,e_5)
| ~ spl0_13
| ~ spl0_50 ),
inference(resolution,[],[f406,f2319]) ).
fof(f2699,plain,
( $false
| ~ spl0_13
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2693,f31]) ).
fof(f2700,plain,
( ~ spl0_13
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2699]) ).
fof(f2705,plain,
( ! [X0] :
( ~ product(e_6,X0,e_1)
| product(e_2,e_6,X0) )
| ~ spl0_52 ),
inference(resolution,[],[f414,f63]) ).
fof(f2706,plain,
( product(e_4,e_6,e_2)
| ~ spl0_13
| ~ spl0_137 ),
inference(resolution,[],[f1080,f2322]) ).
fof(f2712,plain,
( $false
| ~ spl0_13
| spl0_47
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f2706,f384]) ).
fof(f2713,plain,
( ~ spl0_13
| spl0_47
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f2712]) ).
fof(f2714,plain,
( spl0_50
| ~ spl0_10
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1707,f545,f166,f404]) ).
fof(f2716,plain,
( ! [X0] :
( ~ product(X0,e_6,e_1)
| equalish(X0,e_3) )
| ~ spl0_10 ),
inference(resolution,[],[f168,f61]) ).
fof(f2717,plain,
( ! [X0] :
( ~ product(e_3,X0,e_1)
| equalish(X0,e_6) )
| ~ spl0_10 ),
inference(resolution,[],[f168,f60]) ).
fof(f2718,plain,
( ! [X0] :
( ~ product(e_3,e_6,X0)
| equalish(X0,e_1) )
| ~ spl0_10 ),
inference(resolution,[],[f168,f59]) ).
fof(f2719,plain,
( ! [X0] :
( ~ product(e_6,X0,e_3)
| product(e_1,e_6,X0) )
| ~ spl0_10 ),
inference(resolution,[],[f168,f63]) ).
fof(f2724,plain,
( ! [X0] :
( ~ product(e_6,X0,e_5)
| product(e_1,e_6,X0) )
| ~ spl0_16 ),
inference(resolution,[],[f192,f63]) ).
fof(f2734,plain,
( ! [X0] :
( ~ product(e_6,X0,e_1)
| product(e_4,e_6,X0) )
| ~ spl0_50 ),
inference(resolution,[],[f406,f63]) ).
fof(f2736,plain,
( ! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(X0,e_1) )
| ~ spl0_36 ),
inference(resolution,[],[f323,f61]) ).
fof(f2765,plain,
( product(e_1,e_6,e_1)
| ~ spl0_16
| ~ spl0_163 ),
inference(resolution,[],[f2724,f2128]) ).
fof(f2767,plain,
( $false
| ~ spl0_16
| spl0_53
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f2765,f417]) ).
fof(f2768,plain,
( ~ spl0_16
| spl0_53
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f2767]) ).
fof(f2774,plain,
( ! [X0] :
( ~ product(e_6,X0,e_5)
| product(e_3,e_6,X0) )
| ~ spl0_14 ),
inference(resolution,[],[f184,f63]) ).
fof(f2775,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| ~ group_element(e_4)
| ~ group_element(e_3)
| product(e_6,e_3,e_5)
| ~ spl0_25 ),
inference(resolution,[],[f263,f75]) ).
fof(f2776,plain,
( ! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(X0,e_3) )
| ~ spl0_25 ),
inference(resolution,[],[f263,f61]) ).
fof(f2780,plain,
( product(e_1,e_6,e_2)
| ~ spl0_10
| ~ spl0_123 ),
inference(resolution,[],[f2719,f900]) ).
fof(f2811,plain,
( equalish(e_2,e_6)
| ~ spl0_10
| ~ spl0_96 ),
inference(resolution,[],[f2717,f709]) ).
fof(f2813,plain,
( $false
| ~ spl0_10
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f2811,f37]) ).
fof(f2814,plain,
( ~ spl0_10
| ~ spl0_96 ),
inference(avatar_contradiction_clause,[],[f2813]) ).
fof(f2820,plain,
( equalish(e_2,e_1)
| ~ spl0_122 ),
inference(resolution,[],[f868,f70]) ).
fof(f2821,plain,
( $false
| ~ spl0_122 ),
inference(forward_subsumption_resolution,[],[f2820,f33]) ).
fof(f2822,plain,
~ spl0_122,
inference(avatar_contradiction_clause,[],[f2821]) ).
fof(f2834,plain,
( product(e_2,e_6,e_3)
| ~ spl0_52
| ~ spl0_128 ),
inference(resolution,[],[f2705,f971]) ).
fof(f2835,plain,
( product(e_2,e_6,e_5)
| ~ spl0_4
| ~ spl0_52 ),
inference(resolution,[],[f2705,f120]) ).
fof(f2839,plain,
( $false
| spl0_41
| ~ spl0_52
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f2834,f351]) ).
fof(f2840,plain,
( spl0_41
| ~ spl0_52
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f2839]) ).
fof(f2841,plain,
( $false
| ~ spl0_10
| spl0_52
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f2780,f413]) ).
fof(f2842,plain,
( ~ spl0_10
| spl0_52
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f2841]) ).
fof(f2848,plain,
( product(e_4,e_6,e_2)
| ~ spl0_50
| ~ spl0_147 ),
inference(resolution,[],[f2734,f1318]) ).
fof(f2849,plain,
( product(e_4,e_6,e_3)
| ~ spl0_50
| ~ spl0_128 ),
inference(resolution,[],[f2734,f971]) ).
fof(f2850,plain,
( product(e_4,e_6,e_5)
| ~ spl0_4
| ~ spl0_50 ),
inference(resolution,[],[f2734,f120]) ).
fof(f2852,plain,
( $false
| ~ spl0_4
| spl0_44
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f2850,f372]) ).
fof(f2853,plain,
( ~ spl0_4
| spl0_44
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f2852]) ).
fof(f2854,plain,
( $false
| spl0_46
| ~ spl0_50
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f2849,f380]) ).
fof(f2855,plain,
( spl0_46
| ~ spl0_50
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f2854]) ).
fof(f2856,plain,
( $false
| spl0_47
| ~ spl0_50
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f2848,f384]) ).
fof(f2857,plain,
( spl0_47
| ~ spl0_50
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f2856]) ).
fof(f2858,plain,
( spl0_49
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f2493,f166,f110,f400]) ).
fof(f2875,plain,
( product(e_3,e_6,e_3)
| ~ spl0_14
| ~ spl0_124 ),
inference(resolution,[],[f955,f2774]) ).
fof(f2881,plain,
( $false
| spl0_8
| ~ spl0_14
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f2875,f159]) ).
fof(f2882,plain,
( spl0_8
| ~ spl0_14
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f2881]) ).
fof(f2883,plain,
( equalish(e_5,e_3)
| ~ spl0_10
| ~ spl0_16 ),
inference(resolution,[],[f192,f2716]) ).
fof(f2889,plain,
( $false
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f2883,f50]) ).
fof(f2890,plain,
( ~ spl0_10
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f2889]) ).
fof(f2892,plain,
( ! [X0] :
( ~ product(X0,e_6,e_3)
| equalish(X0,e_5) )
| ~ spl0_14 ),
inference(resolution,[],[f184,f61]) ).
fof(f2893,plain,
( ! [X0] :
( ~ product(e_5,X0,e_3)
| equalish(X0,e_6) )
| ~ spl0_14 ),
inference(resolution,[],[f184,f60]) ).
fof(f2894,plain,
( ! [X0] :
( ~ product(e_5,e_6,X0)
| equalish(X0,e_3) )
| ~ spl0_14 ),
inference(resolution,[],[f184,f59]) ).
fof(f2895,plain,
( ! [X0] :
( ~ product(e_6,X0,e_5)
| product(e_3,e_6,X0) )
| ~ spl0_14 ),
inference(resolution,[],[f184,f63]) ).
fof(f2902,plain,
( ! [X0] :
( ~ product(X0,e_6,e_5)
| equalish(X0,e_2) )
| ~ spl0_39 ),
inference(resolution,[],[f344,f61]) ).
fof(f2932,plain,
( equalish(e_4,e_5)
| ~ spl0_14
| ~ spl0_46 ),
inference(resolution,[],[f2892,f381]) ).
fof(f2935,plain,
( $false
| ~ spl0_14
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f2932,f46]) ).
fof(f2936,plain,
( ~ spl0_14
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f2935]) ).
fof(f2946,plain,
( equalish(e_1,e_2)
| ~ spl0_39
| ~ spl0_49 ),
inference(resolution,[],[f2902,f402]) ).
fof(f2950,plain,
( $false
| ~ spl0_39
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f2946,f28]) ).
fof(f2951,plain,
( ~ spl0_39
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f2950]) ).
fof(f2952,plain,
( $false
| spl0_15
| ~ spl0_49
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f2239,f187]) ).
fof(f2953,plain,
( spl0_15
| ~ spl0_49
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f2952]) ).
fof(f2973,plain,
( product(e_3,e_6,e_2)
| ~ spl0_14
| ~ spl0_137 ),
inference(resolution,[],[f1080,f2895]) ).
fof(f2979,plain,
( $false
| spl0_9
| ~ spl0_14
| ~ spl0_137 ),
inference(forward_subsumption_resolution,[],[f2973,f163]) ).
fof(f2980,plain,
( spl0_9
| ~ spl0_14
| ~ spl0_137 ),
inference(avatar_contradiction_clause,[],[f2979]) ).
fof(f2982,plain,
( ! [X0] :
( ~ product(X0,e_6,e_2)
| equalish(X0,e_4) )
| ~ spl0_47 ),
inference(resolution,[],[f385,f61]) ).
fof(f2983,plain,
( ! [X0] :
( ~ product(e_4,X0,e_2)
| equalish(X0,e_6) )
| ~ spl0_47 ),
inference(resolution,[],[f385,f60]) ).
fof(f2985,plain,
( ! [X0] :
( ~ product(e_6,X0,e_4)
| product(e_2,e_6,X0) )
| ~ spl0_47 ),
inference(resolution,[],[f385,f63]) ).
fof(f2991,plain,
( product(e_3,e_6,e_4)
| ~ spl0_14
| ~ spl0_148 ),
inference(resolution,[],[f1367,f2895]) ).
fof(f2997,plain,
( $false
| spl0_7
| ~ spl0_14
| ~ spl0_148 ),
inference(forward_subsumption_resolution,[],[f2991,f155]) ).
fof(f2998,plain,
( spl0_7
| ~ spl0_14
| ~ spl0_148 ),
inference(avatar_contradiction_clause,[],[f2997]) ).
fof(f2999,plain,
( equalish(e_4,e_1)
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f156,f2718]) ).
fof(f3005,plain,
( $false
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2999,f43]) ).
fof(f3006,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f3005]) ).
fof(f3012,plain,
( equalish(e_2,e_5)
| ~ spl0_14
| ~ spl0_41 ),
inference(resolution,[],[f352,f2892]) ).
fof(f3018,plain,
( $false
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f3012,f36]) ).
fof(f3019,plain,
( ~ spl0_14
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f3018]) ).
fof(f3034,plain,
( ! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(X0,e_6) )
| ~ spl0_1 ),
inference(resolution,[],[f108,f61]) ).
fof(f3037,plain,
( ! [X0] :
( ~ product(e_5,X0,e_6)
| product(e_4,e_5,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f108,f63]) ).
fof(f3040,plain,
( ! [X0] :
( ~ product(e_2,X0,e_5)
| equalish(X0,e_6) )
| ~ spl0_39 ),
inference(resolution,[],[f344,f60]) ).
fof(f3043,plain,
( equalish(e_1,e_5)
| ~ spl0_14
| ~ spl0_51 ),
inference(resolution,[],[f410,f2892]) ).
fof(f3049,plain,
( $false
| ~ spl0_14
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f3043,f31]) ).
fof(f3050,plain,
( ~ spl0_14
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[],[f3049]) ).
fof(f3053,plain,
( ! [X0] :
( ~ product(e_1,X0,e_4)
| equalish(X0,e_6) )
| ~ spl0_50 ),
inference(resolution,[],[f406,f60]) ).
fof(f3062,plain,
( ! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(X0,e_6) )
| ~ spl0_127 ),
inference(resolution,[],[f967,f61]) ).
fof(f3082,plain,
( ! [X0] :
( product(e_4,e_5,X0)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_5)
| ~ group_element(e_5) )
| ~ spl0_1 ),
inference(resolution,[],[f3037,f58]) ).
fof(f3083,plain,
( ! [X0] :
( product(e_5,X0,e_5)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_4,e_5,X0) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f3082,f26]) ).
fof(f3104,plain,
( product(e_2,e_6,e_1)
| ~ spl0_47
| ~ spl0_160 ),
inference(resolution,[],[f2985,f1657]) ).
fof(f3105,plain,
( product(e_2,e_6,e_2)
| ~ spl0_47
| ~ spl0_145 ),
inference(resolution,[],[f2985,f1257]) ).
fof(f3106,plain,
( product(e_2,e_6,e_5)
| ~ spl0_1
| ~ spl0_47 ),
inference(resolution,[],[f2985,f108]) ).
fof(f3108,plain,
( $false
| spl0_42
| ~ spl0_47
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f3105,f355]) ).
fof(f3109,plain,
( spl0_42
| ~ spl0_47
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f3108]) ).
fof(f3110,plain,
( $false
| spl0_43
| ~ spl0_47
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f3104,f359]) ).
fof(f3111,plain,
( spl0_43
| ~ spl0_47
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f3110]) ).
fof(f3113,plain,
( equalish(e_3,e_4)
| ~ spl0_9
| ~ spl0_47 ),
inference(resolution,[],[f164,f2982]) ).
fof(f3119,plain,
( $false
| ~ spl0_9
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f3113,f40]) ).
fof(f3120,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f3119]) ).
fof(f3129,plain,
( product(e_3,e_6,e_1)
| ~ spl0_14
| ~ spl0_163 ),
inference(resolution,[],[f2128,f2895]) ).
fof(f3131,plain,
( ! [X0] :
( ~ product(X0,e_1,e_5)
| equalish(X0,e_6) )
| ~ spl0_163 ),
inference(resolution,[],[f2128,f61]) ).
fof(f3154,plain,
( equalish(e_3,e_1)
| ~ spl0_80 ),
inference(resolution,[],[f616,f68]) ).
fof(f3157,plain,
( $false
| ~ spl0_80 ),
inference(forward_subsumption_resolution,[],[f3154,f38]) ).
fof(f3158,plain,
~ spl0_80,
inference(avatar_contradiction_clause,[],[f3157]) ).
fof(f3164,plain,
( equalish(e_1,e_3)
| ~ spl0_78 ),
inference(resolution,[],[f608,f70]) ).
fof(f3165,plain,
( $false
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[],[f3164,f29]) ).
fof(f3166,plain,
~ spl0_78,
inference(avatar_contradiction_clause,[],[f3165]) ).
fof(f3172,plain,
( equalish(e_1,e_6)
| ~ spl0_47
| ~ spl0_111 ),
inference(resolution,[],[f2983,f808]) ).
fof(f3173,plain,
( equalish(e_3,e_6)
| ~ spl0_47
| ~ spl0_68 ),
inference(resolution,[],[f2983,f531]) ).
fof(f3174,plain,
( equalish(e_5,e_6)
| ~ spl0_22
| ~ spl0_47 ),
inference(resolution,[],[f2983,f243]) ).
fof(f3176,plain,
( $false
| ~ spl0_22
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f3174,f52]) ).
fof(f3177,plain,
( ~ spl0_22
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f3176]) ).
fof(f3178,plain,
( $false
| ~ spl0_47
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f3173,f42]) ).
fof(f3179,plain,
( ~ spl0_47
| ~ spl0_68 ),
inference(avatar_contradiction_clause,[],[f3178]) ).
fof(f3180,plain,
( $false
| ~ spl0_47
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f3172,f32]) ).
fof(f3181,plain,
( ~ spl0_47
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f3180]) ).
fof(f3182,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| ~ group_element(e_4)
| ~ group_element(e_3)
| product(e_6,e_3,e_5)
| ~ spl0_25
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f2775,f530]) ).
fof(f3183,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_4)
| product(e_4,e_3,e_5)
| ~ group_element(e_4)
| ~ group_element(e_3)
| product(e_6,e_3,e_5)
| ~ spl0_25
| spl0_67
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f3182,f526]) ).
fof(f3184,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_5)
| ~ group_element(e_4)
| ~ group_element(e_3)
| product(e_6,e_3,e_5)
| ~ spl0_25
| spl0_66
| spl0_67
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f3183,f522]) ).
fof(f3185,plain,
( product(e_4,e_3,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3)
| product(e_6,e_3,e_5)
| ~ spl0_25
| spl0_65
| spl0_66
| spl0_67
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f3184,f518]) ).
fof(f3186,plain,
( product(e_4,e_3,e_1)
| ~ group_element(e_3)
| product(e_6,e_3,e_5)
| ~ spl0_25
| spl0_65
| spl0_66
| spl0_67
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f3185,f25]) ).
fof(f3187,plain,
( product(e_4,e_3,e_1)
| product(e_6,e_3,e_5)
| ~ spl0_25
| spl0_65
| spl0_66
| spl0_67
| spl0_68 ),
inference(forward_subsumption_resolution,[],[f3186,f24]) ).
fof(f3188,plain,
( product(e_4,e_3,e_1)
| ~ spl0_25
| spl0_65
| spl0_66
| spl0_67
| spl0_68
| spl0_124 ),
inference(forward_subsumption_resolution,[],[f3187,f954]) ).
fof(f3189,plain,
( spl0_69
| ~ spl0_25
| spl0_65
| spl0_66
| spl0_67
| spl0_68
| spl0_124 ),
inference(avatar_split_clause,[],[f3188,f953,f529,f525,f521,f517,f261,f533]) ).
fof(f3209,plain,
( equalish(e_4,e_1)
| ~ spl0_112 ),
inference(resolution,[],[f812,f70]) ).
fof(f3210,plain,
( $false
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f3209,f43]) ).
fof(f3211,plain,
~ spl0_112,
inference(avatar_contradiction_clause,[],[f3210]) ).
fof(f3217,plain,
( equalish(e_1,e_4)
| ~ spl0_109 ),
inference(resolution,[],[f800,f68]) ).
fof(f3220,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[],[f3217,f30]) ).
fof(f3221,plain,
~ spl0_109,
inference(avatar_contradiction_clause,[],[f3220]) ).
fof(f3222,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_1)
| ~ spl0_110 ),
inference(resolution,[],[f804,f75]) ).
fof(f3227,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_1)
| ~ spl0_110
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f3222,f1504]) ).
fof(f3228,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_1)
| ~ spl0_110
| spl0_152
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f3227,f1500]) ).
fof(f3229,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_1)
| ~ spl0_110
| spl0_151
| spl0_152
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f3228,f1496]) ).
fof(f3230,plain,
( product(e_3,e_4,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_1)
| ~ spl0_110
| spl0_150
| spl0_151
| spl0_152
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f3229,f1492]) ).
fof(f3231,plain,
( product(e_3,e_4,e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_1)
| ~ spl0_110
| spl0_150
| spl0_151
| spl0_152
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f3230,f24]) ).
fof(f3232,plain,
( product(e_3,e_4,e_1)
| product(e_6,e_4,e_1)
| ~ spl0_110
| spl0_150
| spl0_151
| spl0_152
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f3231,f25]) ).
fof(f3233,plain,
( product(e_3,e_4,e_1)
| ~ spl0_110
| spl0_130
| spl0_150
| spl0_151
| spl0_152
| spl0_153 ),
inference(forward_subsumption_resolution,[],[f3232,f1005]) ).
fof(f3234,plain,
( spl0_154
| ~ spl0_110
| spl0_130
| spl0_150
| spl0_151
| spl0_152
| spl0_153 ),
inference(avatar_split_clause,[],[f3233,f1503,f1499,f1495,f1491,f1004,f802,f1507]) ).
fof(f3240,plain,
( equalish(e_4,e_6)
| ~ spl0_10
| ~ spl0_154 ),
inference(resolution,[],[f1509,f2717]) ).
fof(f3246,plain,
( $false
| ~ spl0_10
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f3240,f47]) ).
fof(f3247,plain,
( ~ spl0_10
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f3246]) ).
fof(f3249,plain,
( ! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(X0,e_3) )
| ~ spl0_153 ),
inference(resolution,[],[f1505,f61]) ).
fof(f3253,plain,
( equalish(e_1,e_6)
| ~ spl0_39
| ~ spl0_118 ),
inference(resolution,[],[f3040,f852]) ).
fof(f3254,plain,
( equalish(e_4,e_6)
| ~ spl0_39
| ~ spl0_140 ),
inference(resolution,[],[f3040,f1226]) ).
fof(f3256,plain,
( $false
| ~ spl0_39
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f3254,f47]) ).
fof(f3257,plain,
( ~ spl0_39
| ~ spl0_140 ),
inference(avatar_contradiction_clause,[],[f3256]) ).
fof(f3258,plain,
( $false
| ~ spl0_39
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f3253,f32]) ).
fof(f3259,plain,
( ~ spl0_39
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f3258]) ).
fof(f3261,plain,
( ! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(X0,e_2) )
| ~ spl0_144 ),
inference(resolution,[],[f1242,f61]) ).
fof(f3278,plain,
( equalish(e_6,e_3)
| ~ spl0_1
| ~ spl0_25 ),
inference(resolution,[],[f2776,f108]) ).
fof(f3279,plain,
( $false
| ~ spl0_1
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f3278,f55]) ).
fof(f3280,plain,
( ~ spl0_1
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f3279]) ).
fof(f3281,plain,
( equalish(e_5,e_6)
| ~ spl0_10
| ~ spl0_28 ),
inference(resolution,[],[f275,f2717]) ).
fof(f3282,plain,
( equalish(e_3,e_2)
| ~ spl0_28
| ~ spl0_33 ),
inference(resolution,[],[f275,f1071]) ).
fof(f3288,plain,
( $false
| ~ spl0_28
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f3282,f39]) ).
fof(f3289,plain,
( ~ spl0_28
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f3288]) ).
fof(f3290,plain,
( $false
| ~ spl0_10
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f3281,f52]) ).
fof(f3291,plain,
( ~ spl0_10
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f3290]) ).
fof(f3297,plain,
( equalish(e_3,e_5)
| ~ spl0_24 ),
inference(resolution,[],[f259,f70]) ).
fof(f3298,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f3297,f41]) ).
fof(f3299,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f3298]) ).
fof(f3312,plain,
( equalish(e_5,e_3)
| ~ spl0_26 ),
inference(resolution,[],[f267,f68]) ).
fof(f3315,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f3312,f50]) ).
fof(f3316,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f3315]) ).
fof(f3318,plain,
( ! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(X0,e_3) )
| ~ spl0_27 ),
inference(resolution,[],[f271,f61]) ).
fof(f3331,plain,
( product(e_5,e_6,e_2)
| product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_1)
| ~ group_element(e_5)
| equalish(e_5,e_6)
| equalish(e_6,e_5) ),
inference(resolution,[],[f81,f68]) ).
fof(f3333,plain,
( product(e_1,e_6,e_2)
| product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_1)
| ~ group_element(e_1)
| equalish(e_1,e_6)
| spl0_49 ),
inference(resolution,[],[f81,f401]) ).
fof(f3350,plain,
( equalish(e_1,e_6)
| ~ spl0_79
| ~ spl0_127 ),
inference(resolution,[],[f3062,f612]) ).
fof(f3352,plain,
( $false
| ~ spl0_79
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f3350,f32]) ).
fof(f3353,plain,
( ~ spl0_79
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f3352]) ).
fof(f3362,plain,
( ~ group_element(e_3)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_4,e_5,e_3)
| ~ spl0_1
| spl0_60 ),
inference(resolution,[],[f3083,f479]) ).
fof(f3363,plain,
( ~ group_element(e_4)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_4,e_5,e_4)
| ~ spl0_1
| spl0_71 ),
inference(resolution,[],[f3083,f550]) ).
fof(f3378,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_4,e_5,e_4)
| ~ spl0_1
| spl0_71 ),
inference(forward_subsumption_resolution,[],[f3363,f25]) ).
fof(f3379,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_4,e_5,e_3)
| ~ spl0_1
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f3362,f24]) ).
fof(f3380,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_4,e_5,e_4)
| ~ spl0_1
| spl0_71
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f3378,f566]) ).
fof(f3381,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_4,e_5,e_3)
| ~ spl0_1
| spl0_60
| spl0_63 ),
inference(forward_subsumption_resolution,[],[f3379,f491]) ).
fof(f3382,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_4,e_5,e_4)
| ~ spl0_1
| spl0_71
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f3380,f562]) ).
fof(f3383,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_3)
| product(e_4,e_5,e_3)
| ~ spl0_1
| spl0_60
| spl0_61
| spl0_63 ),
inference(forward_subsumption_resolution,[],[f3381,f483]) ).
fof(f3384,plain,
( product(e_5,e_4,e_4)
| product(e_4,e_5,e_4)
| ~ spl0_1
| spl0_71
| spl0_73
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f3382,f558]) ).
fof(f3385,plain,
( spl0_21
| spl0_62
| spl0_64
| ~ spl0_1
| spl0_60
| spl0_61
| spl0_63 ),
inference(avatar_split_clause,[],[f3383,f490,f482,f478,f106,f494,f486,f237]) ).
fof(f3386,plain,
( product(e_4,e_5,e_4)
| ~ spl0_1
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f3384,f554]) ).
fof(f3387,plain,
( spl0_20
| ~ spl0_1
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(avatar_split_clause,[],[f3386,f565,f561,f557,f553,f549,f106,f233]) ).
fof(f3393,plain,
( equalish(e_5,e_4)
| ~ spl0_20 ),
inference(resolution,[],[f235,f68]) ).
fof(f3396,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f3393,f51]) ).
fof(f3397,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f3396]) ).
fof(f3398,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_3)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ group_element(e_1)
| ~ group_element(e_5)
| product(e_6,e_5,e_3)
| ~ spl0_64 ),
inference(resolution,[],[f496,f75]) ).
fof(f3417,plain,
( equalish(e_5,e_2)
| ~ spl0_75
| ~ spl0_144 ),
inference(resolution,[],[f3261,f567]) ).
fof(f3418,plain,
( $false
| ~ spl0_75
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f3417,f49]) ).
fof(f3419,plain,
( ~ spl0_75
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f3418]) ).
fof(f3421,plain,
( ! [X0] :
( ~ product(X0,e_4,e_3)
| equalish(X0,e_2) )
| ~ spl0_142 ),
inference(resolution,[],[f1234,f61]) ).
fof(f3429,plain,
( equalish(e_4,e_6)
| ~ spl0_108
| ~ spl0_163 ),
inference(resolution,[],[f796,f3131]) ).
fof(f3435,plain,
( $false
| ~ spl0_108
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f3429,f47]) ).
fof(f3436,plain,
( ~ spl0_108
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f3435]) ).
fof(f3438,plain,
( ! [X0] :
( ~ product(X0,e_1,e_3)
| equalish(X0,e_4) )
| ~ spl0_110 ),
inference(resolution,[],[f804,f61]) ).
fof(f3447,plain,
( equalish(e_1,e_2)
| ~ spl0_121 ),
inference(resolution,[],[f864,f68]) ).
fof(f3450,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[],[f3447,f28]) ).
fof(f3451,plain,
~ spl0_121,
inference(avatar_contradiction_clause,[],[f3450]) ).
fof(f3462,plain,
( equalish(e_4,e_5)
| ~ spl0_86
| ~ spl0_91 ),
inference(resolution,[],[f2591,f681]) ).
fof(f3464,plain,
( equalish(e_6,e_5)
| ~ spl0_86
| ~ spl0_147 ),
inference(resolution,[],[f2591,f1318]) ).
fof(f3465,plain,
( $false
| ~ spl0_86
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f3464,f57]) ).
fof(f3466,plain,
( ~ spl0_86
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f3465]) ).
fof(f3467,plain,
( $false
| ~ spl0_86
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f3462,f46]) ).
fof(f3468,plain,
( ~ spl0_86
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f3467]) ).
fof(f3474,plain,
( equalish(e_5,e_2)
| ~ spl0_85 ),
inference(resolution,[],[f649,f70]) ).
fof(f3475,plain,
( $false
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[],[f3474,f49]) ).
fof(f3476,plain,
~ spl0_85,
inference(avatar_contradiction_clause,[],[f3475]) ).
fof(f3482,plain,
( equalish(e_2,e_5)
| ~ spl0_82 ),
inference(resolution,[],[f637,f68]) ).
fof(f3485,plain,
( $false
| ~ spl0_82 ),
inference(forward_subsumption_resolution,[],[f3482,f36]) ).
fof(f3486,plain,
~ spl0_82,
inference(avatar_contradiction_clause,[],[f3485]) ).
fof(f3487,plain,
( equalish(e_2,e_6)
| ~ spl0_14
| ~ spl0_84 ),
inference(resolution,[],[f645,f2893]) ).
fof(f3493,plain,
( $false
| ~ spl0_14
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f3487,f37]) ).
fof(f3494,plain,
( ~ spl0_14
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f3493]) ).
fof(f3495,plain,
( equalish(e_4,e_1)
| ~ spl0_21
| ~ spl0_36 ),
inference(resolution,[],[f239,f2736]) ).
fof(f3501,plain,
( $false
| ~ spl0_21
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f3495,f43]) ).
fof(f3502,plain,
( ~ spl0_21
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f3501]) ).
fof(f3503,plain,
( equalish(e_4,e_2)
| ~ spl0_23
| ~ spl0_33 ),
inference(resolution,[],[f247,f1071]) ).
fof(f3504,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_23 ),
inference(resolution,[],[f247,f75]) ).
fof(f3509,plain,
( $false
| ~ spl0_23
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f3503,f44]) ).
fof(f3510,plain,
( ~ spl0_23
| ~ spl0_33 ),
inference(avatar_contradiction_clause,[],[f3509]) ).
fof(f3511,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_1)
| spl0_33
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f2380,f302]) ).
fof(f3512,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_1)
| spl0_33
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f3511,f23]) ).
fof(f3513,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| product(e_6,e_5,e_1)
| spl0_33
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f3512,f26]) ).
fof(f3514,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| spl0_4
| spl0_33
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f3513,f119]) ).
fof(f3515,plain,
( spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_4
| spl0_33
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f3514,f778,f301,f118,f297,f293,f289,f285]) ).
fof(f3517,plain,
( ! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(X0,e_5) )
| ~ spl0_83 ),
inference(resolution,[],[f641,f61]) ).
fof(f3535,plain,
( ! [X0] :
( ~ product(X0,e_4,e_3)
| equalish(X0,e_1) )
| ~ spl0_157 ),
inference(resolution,[],[f1637,f61]) ).
fof(f3547,plain,
( ! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(X0,e_4) )
| ~ spl0_89 ),
inference(resolution,[],[f673,f61]) ).
fof(f3553,plain,
( equalish(e_1,e_2)
| ~ spl0_142
| ~ spl0_157 ),
inference(resolution,[],[f3421,f1637]) ).
fof(f3555,plain,
( equalish(e_6,e_2)
| ~ spl0_70
| ~ spl0_142 ),
inference(resolution,[],[f3421,f547]) ).
fof(f3556,plain,
( $false
| ~ spl0_70
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f3555,f54]) ).
fof(f3557,plain,
( ~ spl0_70
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f3556]) ).
fof(f3558,plain,
( $false
| ~ spl0_142
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f3553,f28]) ).
fof(f3559,plain,
( ~ spl0_142
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f3558]) ).
fof(f3565,plain,
( equalish(e_4,e_6)
| ~ spl0_14
| ~ spl0_73 ),
inference(resolution,[],[f559,f2893]) ).
fof(f3571,plain,
( $false
| ~ spl0_14
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f3565,f47]) ).
fof(f3572,plain,
( ~ spl0_14
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f3571]) ).
fof(f3590,plain,
( equalish(e_5,e_3)
| ~ spl0_74
| ~ spl0_153 ),
inference(resolution,[],[f3249,f563]) ).
fof(f3591,plain,
( $false
| ~ spl0_74
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f3590,f50]) ).
fof(f3592,plain,
( ~ spl0_74
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f3591]) ).
fof(f3594,plain,
( ! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(X0,e_3) )
| ~ spl0_150 ),
inference(resolution,[],[f1493,f61]) ).
fof(f3602,plain,
( equalish(e_6,e_1)
| ~ spl0_70
| ~ spl0_157 ),
inference(resolution,[],[f3535,f547]) ).
fof(f3603,plain,
( $false
| ~ spl0_70
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f3602,f53]) ).
fof(f3604,plain,
( ~ spl0_70
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f3603]) ).
fof(f3605,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_23
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f3504,f1644]) ).
fof(f3606,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_23
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f3605,f1640]) ).
fof(f3607,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_23
| spl0_157
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f3606,f1636]) ).
fof(f3608,plain,
( product(e_1,e_4,e_4)
| ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_23
| spl0_155
| spl0_157
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f3607,f1628]) ).
fof(f3609,plain,
( product(e_1,e_4,e_4)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_23
| spl0_155
| spl0_157
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f3608,f22]) ).
fof(f3610,plain,
( product(e_1,e_4,e_4)
| product(e_6,e_4,e_5)
| ~ spl0_23
| spl0_155
| spl0_157
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f3609,f25]) ).
fof(f3611,plain,
( product(e_1,e_4,e_4)
| ~ spl0_23
| spl0_148
| spl0_155
| spl0_157
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f3610,f1366]) ).
fof(f3612,plain,
( spl0_156
| ~ spl0_23
| spl0_148
| spl0_155
| spl0_157
| spl0_158
| spl0_159 ),
inference(avatar_split_clause,[],[f3611,f1643,f1639,f1635,f1627,f1365,f245,f1631]) ).
fof(f3613,plain,
( equalish(e_1,e_3)
| ~ spl0_150
| ~ spl0_155 ),
inference(resolution,[],[f1629,f3594]) ).
fof(f3619,plain,
( $false
| ~ spl0_150
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f3613,f29]) ).
fof(f3620,plain,
( ~ spl0_150
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f3619]) ).
fof(f3626,plain,
( equalish(e_1,e_6)
| ~ spl0_14
| ~ spl0_105 ),
inference(resolution,[],[f776,f2893]) ).
fof(f3627,plain,
( equalish(e_5,e_4)
| ~ spl0_105
| ~ spl0_110 ),
inference(resolution,[],[f776,f3438]) ).
fof(f3633,plain,
( $false
| ~ spl0_105
| ~ spl0_110 ),
inference(forward_subsumption_resolution,[],[f3627,f51]) ).
fof(f3634,plain,
( ~ spl0_105
| ~ spl0_110 ),
inference(avatar_contradiction_clause,[],[f3633]) ).
fof(f3635,plain,
( $false
| ~ spl0_14
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f3626,f32]) ).
fof(f3636,plain,
( ~ spl0_14
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f3635]) ).
fof(f3648,plain,
( equalish(e_1,e_4)
| ~ spl0_156 ),
inference(resolution,[],[f1633,f70]) ).
fof(f3649,plain,
( $false
| ~ spl0_156 ),
inference(forward_subsumption_resolution,[],[f3648,f30]) ).
fof(f3650,plain,
~ spl0_156,
inference(avatar_contradiction_clause,[],[f3649]) ).
fof(f3653,plain,
( equalish(e_2,e_6)
| ~ spl0_1
| ~ spl0_30 ),
inference(resolution,[],[f291,f3034]) ).
fof(f3659,plain,
( $false
| ~ spl0_1
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f3653,f37]) ).
fof(f3660,plain,
( ~ spl0_1
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f3659]) ).
fof(f3667,plain,
( equalish(e_2,e_5)
| ~ spl0_29 ),
inference(resolution,[],[f287,f70]) ).
fof(f3668,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f3667,f36]) ).
fof(f3669,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f3668]) ).
fof(f3678,plain,
( equalish(e_5,e_2)
| ~ spl0_32 ),
inference(resolution,[],[f299,f68]) ).
fof(f3681,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f3678,f49]) ).
fof(f3682,plain,
~ spl0_32,
inference(avatar_contradiction_clause,[],[f3681]) ).
fof(f3685,plain,
( equalish(e_2,e_1)
| ~ spl0_31
| ~ spl0_36 ),
inference(resolution,[],[f295,f2736]) ).
fof(f3686,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_31 ),
inference(resolution,[],[f295,f75]) ).
fof(f3687,plain,
( ! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(X0,e_2) )
| ~ spl0_31 ),
inference(resolution,[],[f295,f61]) ).
fof(f3691,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_31
| spl0_96 ),
inference(forward_subsumption_resolution,[],[f3686,f708]) ).
fof(f3692,plain,
( $false
| ~ spl0_31
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f3685,f33]) ).
fof(f3693,plain,
( ~ spl0_31
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f3692]) ).
fof(f3694,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_31
| spl0_95
| spl0_96 ),
inference(forward_subsumption_resolution,[],[f3691,f704]) ).
fof(f3695,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_31
| spl0_94
| spl0_95
| spl0_96 ),
inference(forward_subsumption_resolution,[],[f3694,f700]) ).
fof(f3696,plain,
( product(e_3,e_2,e_5)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_31
| spl0_93
| spl0_94
| spl0_95
| spl0_96 ),
inference(forward_subsumption_resolution,[],[f3695,f696]) ).
fof(f3697,plain,
( product(e_3,e_2,e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_31
| spl0_93
| spl0_94
| spl0_95
| spl0_96 ),
inference(forward_subsumption_resolution,[],[f3696,f24]) ).
fof(f3698,plain,
( product(e_3,e_2,e_5)
| product(e_6,e_2,e_5)
| ~ spl0_31
| spl0_93
| spl0_94
| spl0_95
| spl0_96 ),
inference(forward_subsumption_resolution,[],[f3697,f23]) ).
fof(f3699,plain,
( product(e_3,e_2,e_5)
| ~ spl0_31
| spl0_93
| spl0_94
| spl0_95
| spl0_96
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f3698,f1079]) ).
fof(f3700,plain,
( spl0_92
| ~ spl0_31
| spl0_93
| spl0_94
| spl0_95
| spl0_96
| spl0_137 ),
inference(avatar_split_clause,[],[f3699,f1078,f707,f703,f699,f695,f293,f691]) ).
fof(f3701,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ group_element(e_1)
| ~ group_element(e_5)
| product(e_6,e_5,e_3)
| spl0_36
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f3398,f322]) ).
fof(f3702,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| ~ group_element(e_5)
| product(e_6,e_5,e_3)
| spl0_36
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f3701,f22]) ).
fof(f3703,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| product(e_6,e_5,e_3)
| spl0_36
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f3702,f26]) ).
fof(f3704,plain,
( product(e_1,e_5,e_1)
| product(e_1,e_5,e_2)
| product(e_1,e_5,e_4)
| product(e_1,e_5,e_5)
| spl0_2
| spl0_36
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f3703,f111]) ).
fof(f3705,plain,
( spl0_34
| spl0_35
| spl0_37
| spl0_38
| spl0_2
| spl0_36
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f3704,f494,f321,f110,f329,f325,f317,f313]) ).
fof(f3729,plain,
( equalish(e_1,e_4)
| ~ spl0_89
| ~ spl0_99 ),
inference(resolution,[],[f739,f3547]) ).
fof(f3730,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| ~ group_element(e_3)
| ~ group_element(e_1)
| product(e_6,e_1,e_2)
| ~ spl0_99 ),
inference(resolution,[],[f739,f75]) ).
fof(f3735,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| ~ group_element(e_3)
| ~ group_element(e_1)
| product(e_6,e_1,e_2)
| ~ spl0_99
| spl0_116 ),
inference(forward_subsumption_resolution,[],[f3730,f835]) ).
fof(f3736,plain,
( $false
| ~ spl0_89
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f3729,f30]) ).
fof(f3737,plain,
( ~ spl0_89
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f3736]) ).
fof(f3738,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| ~ group_element(e_1)
| product(e_6,e_1,e_2)
| ~ spl0_99
| spl0_116 ),
inference(forward_subsumption_resolution,[],[f3735,f24]) ).
fof(f3739,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| product(e_6,e_1,e_2)
| ~ spl0_99
| spl0_116 ),
inference(forward_subsumption_resolution,[],[f3738,f22]) ).
fof(f3740,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4)
| product(e_3,e_1,e_5)
| ~ spl0_99
| spl0_116
| spl0_139 ),
inference(forward_subsumption_resolution,[],[f3739,f1139]) ).
fof(f3741,plain,
( spl0_113
| spl0_114
| spl0_115
| spl0_117
| ~ spl0_99
| spl0_116
| spl0_139 ),
inference(avatar_split_clause,[],[f3740,f1138,f834,f737,f838,f830,f826,f822]) ).
fof(f3748,plain,
( equalish(e_2,e_4)
| ~ spl0_88 ),
inference(resolution,[],[f669,f68]) ).
fof(f3751,plain,
( $false
| ~ spl0_88 ),
inference(forward_subsumption_resolution,[],[f3748,f35]) ).
fof(f3752,plain,
~ spl0_88,
inference(avatar_contradiction_clause,[],[f3751]) ).
fof(f3773,plain,
( equalish(e_2,e_6)
| ~ spl0_50
| ~ spl0_98 ),
inference(resolution,[],[f735,f3053]) ).
fof(f3774,plain,
( equalish(e_1,e_5)
| ~ spl0_83
| ~ spl0_98 ),
inference(resolution,[],[f735,f3517]) ).
fof(f3780,plain,
( $false
| ~ spl0_83
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f3774,f31]) ).
fof(f3781,plain,
( ~ spl0_83
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f3780]) ).
fof(f3782,plain,
( $false
| ~ spl0_50
| ~ spl0_98 ),
inference(forward_subsumption_resolution,[],[f3773,f37]) ).
fof(f3783,plain,
( ~ spl0_50
| ~ spl0_98 ),
inference(avatar_contradiction_clause,[],[f3782]) ).
fof(f3808,plain,
( equalish(e_5,e_6)
| ~ spl0_63
| ~ spl0_127 ),
inference(resolution,[],[f492,f3062]) ).
fof(f3814,plain,
( $false
| ~ spl0_63
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f3808,f52]) ).
fof(f3815,plain,
( ~ spl0_63
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f3814]) ).
fof(f3837,plain,
( equalish(e_1,e_3)
| ~ spl0_115 ),
inference(resolution,[],[f832,f68]) ).
fof(f3840,plain,
( $false
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[],[f3837,f29]) ).
fof(f3841,plain,
~ spl0_115,
inference(avatar_contradiction_clause,[],[f3840]) ).
fof(f3850,plain,
( equalish(e_2,e_1)
| ~ spl0_101 ),
inference(resolution,[],[f747,f68]) ).
fof(f3853,plain,
( $false
| ~ spl0_101 ),
inference(forward_subsumption_resolution,[],[f3850,f33]) ).
fof(f3854,plain,
~ spl0_101,
inference(avatar_contradiction_clause,[],[f3853]) ).
fof(f3862,plain,
( equalish(e_1,e_2)
| ~ spl0_100 ),
inference(resolution,[],[f743,f70]) ).
fof(f3863,plain,
( $false
| ~ spl0_100 ),
inference(forward_subsumption_resolution,[],[f3862,f28]) ).
fof(f3864,plain,
~ spl0_100,
inference(avatar_contradiction_clause,[],[f3863]) ).
fof(f3879,plain,
( equalish(e_3,e_1)
| ~ spl0_117 ),
inference(resolution,[],[f840,f70]) ).
fof(f3880,plain,
( $false
| ~ spl0_117 ),
inference(forward_subsumption_resolution,[],[f3879,f38]) ).
fof(f3881,plain,
~ spl0_117,
inference(avatar_contradiction_clause,[],[f3880]) ).
fof(f3884,plain,
( equalish(e_3,e_6)
| ~ spl0_39
| ~ spl0_55 ),
inference(resolution,[],[f434,f3040]) ).
fof(f3893,plain,
( $false
| ~ spl0_39
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f3884,f42]) ).
fof(f3894,plain,
( ~ spl0_39
| ~ spl0_55 ),
inference(avatar_contradiction_clause,[],[f3893]) ).
fof(f3896,plain,
( ! [X0] :
( ~ product(X0,e_3,e_4)
| equalish(X0,e_2) )
| ~ spl0_56 ),
inference(resolution,[],[f438,f61]) ).
fof(f3921,plain,
( equalish(e_5,e_2)
| ~ spl0_56
| ~ spl0_61 ),
inference(resolution,[],[f3896,f484]) ).
fof(f3922,plain,
( $false
| ~ spl0_56
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f3921,f49]) ).
fof(f3923,plain,
( ~ spl0_56
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f3922]) ).
fof(f3930,plain,
( equalish(e_5,e_3)
| ~ spl0_62 ),
inference(resolution,[],[f488,f70]) ).
fof(f3931,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f3930,f50]) ).
fof(f3932,plain,
~ spl0_62,
inference(avatar_contradiction_clause,[],[f3931]) ).
fof(f3935,plain,
( equalish(e_5,e_6)
| ~ spl0_35
| ~ spl0_50 ),
inference(resolution,[],[f319,f3053]) ).
fof(f3936,plain,
( equalish(e_1,e_6)
| ~ spl0_1
| ~ spl0_35 ),
inference(resolution,[],[f319,f3034]) ).
fof(f3942,plain,
( $false
| ~ spl0_1
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f3936,f32]) ).
fof(f3943,plain,
( ~ spl0_1
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f3942]) ).
fof(f3944,plain,
( $false
| ~ spl0_35
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f3935,f52]) ).
fof(f3945,plain,
( ~ spl0_35
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f3944]) ).
fof(f3951,plain,
( equalish(e_1,e_5)
| ~ spl0_34 ),
inference(resolution,[],[f315,f70]) ).
fof(f3952,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f3951,f31]) ).
fof(f3953,plain,
~ spl0_34,
inference(avatar_contradiction_clause,[],[f3952]) ).
fof(f3960,plain,
( equalish(e_5,e_1)
| ~ spl0_38 ),
inference(resolution,[],[f331,f68]) ).
fof(f3963,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f3960,f48]) ).
fof(f3964,plain,
~ spl0_38,
inference(avatar_contradiction_clause,[],[f3963]) ).
fof(f3967,plain,
( equalish(e_1,e_3)
| ~ spl0_27
| ~ spl0_37 ),
inference(resolution,[],[f327,f3318]) ).
fof(f3973,plain,
( $false
| ~ spl0_27
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f3967,f29]) ).
fof(f3974,plain,
( ~ spl0_27
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f3973]) ).
fof(f3975,plain,
( equalish(e_4,e_2)
| ~ spl0_21
| ~ spl0_31 ),
inference(resolution,[],[f239,f3687]) ).
fof(f3980,plain,
( ! [X0] :
( ~ product(e_5,X0,e_4)
| product(e_3,e_5,X0) )
| ~ spl0_21 ),
inference(resolution,[],[f239,f63]) ).
fof(f3981,plain,
( $false
| ~ spl0_21
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f3975,f44]) ).
fof(f3982,plain,
( ~ spl0_21
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f3981]) ).
fof(f3988,plain,
( product(e_2,e_6,e_3)
| ~ spl0_47
| ~ spl0_125 ),
inference(resolution,[],[f959,f2985]) ).
fof(f3989,plain,
( equalish(e_6,e_2)
| ~ spl0_56
| ~ spl0_125 ),
inference(resolution,[],[f959,f3896]) ).
fof(f3995,plain,
( $false
| ~ spl0_56
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f3989,f54]) ).
fof(f3996,plain,
( ~ spl0_56
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f3995]) ).
fof(f3997,plain,
( $false
| spl0_41
| ~ spl0_47
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f3988,f351]) ).
fof(f3998,plain,
( spl0_41
| ~ spl0_47
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f3997]) ).
fof(f4000,plain,
( ! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(X0,e_2) )
| ~ spl0_59 ),
inference(resolution,[],[f450,f61]) ).
fof(f4010,plain,
( ! [X0] :
( ~ product(X0,e_3,e_4)
| equalish(X0,e_5) )
| ~ spl0_61 ),
inference(resolution,[],[f484,f61]) ).
fof(f4025,plain,
( product(e_3,e_5,e_1)
| ~ spl0_21
| ~ spl0_104 ),
inference(resolution,[],[f3980,f772]) ).
fof(f4027,plain,
( product(e_3,e_5,e_3)
| ~ spl0_21
| ~ spl0_61 ),
inference(resolution,[],[f3980,f484]) ).
fof(f4028,plain,
( $false
| ~ spl0_21
| spl0_26
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f4027,f266]) ).
fof(f4029,plain,
( ~ spl0_21
| spl0_26
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f4028]) ).
fof(f4032,plain,
( spl0_13
| ~ spl0_6
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f1351,f545,f150,f178]) ).
fof(f4035,plain,
( $false
| ~ spl0_6
| spl0_15
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f1473,f187]) ).
fof(f4036,plain,
( ~ spl0_6
| spl0_15
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f4035]) ).
fof(f4037,plain,
( product(e_1,e_6,e_3)
| product(e_1,e_6,e_4)
| product(e_1,e_6,e_1)
| ~ group_element(e_1)
| equalish(e_1,e_6)
| spl0_49
| spl0_52 ),
inference(forward_subsumption_resolution,[],[f3333,f413]) ).
fof(f4038,plain,
( $false
| ~ spl0_1
| spl0_39
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f3106,f343]) ).
fof(f4039,plain,
( ~ spl0_1
| spl0_39
| ~ spl0_47 ),
inference(avatar_contradiction_clause,[],[f4038]) ).
fof(f4040,plain,
( product(e_1,e_6,e_4)
| product(e_1,e_6,e_1)
| ~ group_element(e_1)
| equalish(e_1,e_6)
| spl0_49
| spl0_51
| spl0_52 ),
inference(forward_subsumption_resolution,[],[f4037,f409]) ).
fof(f4041,plain,
( product(e_1,e_6,e_1)
| ~ group_element(e_1)
| equalish(e_1,e_6)
| spl0_49
| spl0_50
| spl0_51
| spl0_52 ),
inference(forward_subsumption_resolution,[],[f4040,f405]) ).
fof(f4042,plain,
( ~ group_element(e_1)
| equalish(e_1,e_6)
| spl0_49
| spl0_50
| spl0_51
| spl0_52
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f4041,f417]) ).
fof(f4043,plain,
( equalish(e_1,e_6)
| spl0_49
| spl0_50
| spl0_51
| spl0_52
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f4042,f22]) ).
fof(f4044,plain,
( $false
| spl0_49
| spl0_50
| spl0_51
| spl0_52
| spl0_53 ),
inference(forward_subsumption_resolution,[],[f4043,f32]) ).
fof(f4045,plain,
( spl0_49
| spl0_50
| spl0_51
| spl0_52
| spl0_53 ),
inference(avatar_contradiction_clause,[],[f4044]) ).
fof(f4050,plain,
( $false
| spl0_10
| ~ spl0_14
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f3129,f167]) ).
fof(f4051,plain,
( spl0_10
| ~ spl0_14
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f4050]) ).
fof(f4053,plain,
( ! [X0] :
( ~ product(X0,e_6,e_2)
| equalish(X0,e_3) )
| ~ spl0_9 ),
inference(resolution,[],[f164,f61]) ).
fof(f4054,plain,
( ! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(X0,e_6) )
| ~ spl0_9 ),
inference(resolution,[],[f164,f60]) ).
fof(f4056,plain,
( ! [X0] :
( ~ product(e_6,X0,e_3)
| product(e_2,e_6,X0) )
| ~ spl0_9 ),
inference(resolution,[],[f164,f63]) ).
fof(f4057,plain,
( equalish(e_4,e_3)
| ~ spl0_13
| ~ spl0_14 ),
inference(resolution,[],[f180,f2894]) ).
fof(f4060,plain,
( ! [X0] :
( ~ product(e_5,X0,e_4)
| equalish(X0,e_6) )
| ~ spl0_13 ),
inference(resolution,[],[f180,f60]) ).
fof(f4061,plain,
( ! [X0] :
( ~ product(e_5,e_6,X0)
| equalish(X0,e_4) )
| ~ spl0_13 ),
inference(resolution,[],[f180,f59]) ).
fof(f4063,plain,
( $false
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f4057,f45]) ).
fof(f4064,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f4063]) ).
fof(f4068,plain,
( ! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(X0,e_6) )
| ~ spl0_2 ),
inference(resolution,[],[f112,f61]) ).
fof(f4071,plain,
( ! [X0] :
( ~ product(e_5,X0,e_6)
| product(e_3,e_5,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f112,f63]) ).
fof(f4074,plain,
( ! [X0] :
( ~ product(e_4,X0,e_1)
| equalish(X0,e_6) )
| ~ spl0_48 ),
inference(resolution,[],[f389,f60]) ).
fof(f4078,plain,
( ! [X0] :
( ~ product(X0,e_6,e_5)
| equalish(X0,e_2) )
| ~ spl0_39 ),
inference(resolution,[],[f344,f61]) ).
fof(f4083,plain,
( ! [X0] :
( ~ product(X0,e_6,e_3)
| equalish(X0,e_1) )
| ~ spl0_51 ),
inference(resolution,[],[f410,f61]) ).
fof(f4084,plain,
( ! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(X0,e_6) )
| ~ spl0_51 ),
inference(resolution,[],[f410,f60]) ).
fof(f4092,plain,
( product(e_3,e_6,e_2)
| product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_1)
| ~ group_element(e_3)
| equalish(e_3,e_6)
| spl0_6 ),
inference(resolution,[],[f151,f81]) ).
fof(f4127,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_1)
| ~ spl0_113 ),
inference(resolution,[],[f824,f75]) ).
fof(f4142,plain,
( equalish(e_6,e_5)
| ~ spl0_61
| ~ spl0_125 ),
inference(resolution,[],[f959,f4010]) ).
fof(f4144,plain,
( ! [X0] :
( ~ product(X0,e_3,e_4)
| equalish(X0,e_6) )
| ~ spl0_125 ),
inference(resolution,[],[f959,f61]) ).
fof(f4148,plain,
( $false
| ~ spl0_61
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f4142,f57]) ).
fof(f4149,plain,
( ~ spl0_61
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f4148]) ).
fof(f4150,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_1)
| spl0_64
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f4127,f495]) ).
fof(f4151,plain,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_1)
| spl0_63
| spl0_64
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f4150,f491]) ).
fof(f4152,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_1)
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f4151,f487]) ).
fof(f4153,plain,
( product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_1)
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f4152,f483]) ).
fof(f4154,plain,
( ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_1)
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f4153,f479]) ).
fof(f4155,plain,
( ~ group_element(e_3)
| product(e_6,e_3,e_1)
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f4154,f26]) ).
fof(f4156,plain,
( product(e_6,e_3,e_1)
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f4155,f24]) ).
fof(f4157,plain,
( $false
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_113
| spl0_128 ),
inference(forward_subsumption_resolution,[],[f4156,f970]) ).
fof(f4158,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_113
| spl0_128 ),
inference(avatar_contradiction_clause,[],[f4157]) ).
fof(f4174,plain,
( equalish(e_6,e_4)
| ~ spl0_110
| ~ spl0_161 ),
inference(resolution,[],[f1691,f3438]) ).
fof(f4180,plain,
( $false
| ~ spl0_110
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f4174,f56]) ).
fof(f4181,plain,
( ~ spl0_110
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f4180]) ).
fof(f4188,plain,
( ! [X0] :
( product(e_3,e_5,X0)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_5)
| ~ group_element(e_5) )
| ~ spl0_2 ),
inference(resolution,[],[f4071,f58]) ).
fof(f4189,plain,
( ! [X0] :
( product(e_5,X0,e_5)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_3,e_5,X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f4188,f26]) ).
fof(f4191,plain,
( product(e_2,e_6,e_1)
| ~ spl0_9
| ~ spl0_161 ),
inference(resolution,[],[f4056,f1691]) ).
fof(f4192,plain,
( product(e_2,e_6,e_2)
| ~ spl0_9
| ~ spl0_123 ),
inference(resolution,[],[f4056,f900]) ).
fof(f4193,plain,
( product(e_2,e_6,e_4)
| ~ spl0_9
| ~ spl0_70 ),
inference(resolution,[],[f4056,f547]) ).
fof(f4194,plain,
( product(e_2,e_6,e_5)
| ~ spl0_2
| ~ spl0_9 ),
inference(resolution,[],[f4056,f112]) ).
fof(f4198,plain,
( $false
| ~ spl0_9
| spl0_42
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f4192,f355]) ).
fof(f4199,plain,
( ~ spl0_9
| spl0_42
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f4198]) ).
fof(f4200,plain,
( $false
| ~ spl0_9
| spl0_43
| ~ spl0_161 ),
inference(forward_subsumption_resolution,[],[f4191,f359]) ).
fof(f4201,plain,
( ~ spl0_9
| spl0_43
| ~ spl0_161 ),
inference(avatar_contradiction_clause,[],[f4200]) ).
fof(f4207,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_4)
| ~ spl0_142 ),
inference(resolution,[],[f1234,f75]) ).
fof(f4208,plain,
( ! [X0] :
( ~ product(X0,e_4,e_3)
| equalish(X0,e_2) )
| ~ spl0_142 ),
inference(resolution,[],[f1234,f61]) ).
fof(f4212,plain,
( equalish(e_6,e_5)
| ~ spl0_83
| ~ spl0_145 ),
inference(resolution,[],[f1257,f3517]) ).
fof(f4218,plain,
( $false
| ~ spl0_83
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f4212,f57]) ).
fof(f4219,plain,
( ~ spl0_83
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f4218]) ).
fof(f4226,plain,
( ! [X0] :
( ~ product(X0,e_1,e_5)
| equalish(X0,e_6) )
| ~ spl0_163 ),
inference(resolution,[],[f2128,f61]) ).
fof(f4240,plain,
( equalish(e_1,e_3)
| ~ spl0_9
| ~ spl0_52 ),
inference(resolution,[],[f4053,f414]) ).
fof(f4243,plain,
( $false
| ~ spl0_9
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f4240,f29]) ).
fof(f4244,plain,
( ~ spl0_9
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f4243]) ).
fof(f4247,plain,
( ! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(X0,e_6) )
| ~ spl0_129 ),
inference(resolution,[],[f1002,f61]) ).
fof(f4261,plain,
( equalish(e_5,e_6)
| ~ spl0_74
| ~ spl0_129 ),
inference(resolution,[],[f4247,f563]) ).
fof(f4263,plain,
( $false
| ~ spl0_74
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[],[f4261,f52]) ).
fof(f4264,plain,
( ~ spl0_74
| ~ spl0_129 ),
inference(avatar_contradiction_clause,[],[f4263]) ).
fof(f4281,plain,
( equalish(e_5,e_6)
| ~ spl0_9
| ~ spl0_27 ),
inference(resolution,[],[f4054,f271]) ).
fof(f4283,plain,
( $false
| ~ spl0_9
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f4281,f52]) ).
fof(f4284,plain,
( ~ spl0_9
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f4283]) ).
fof(f4310,plain,
( equalish(e_5,e_6)
| ~ spl0_23
| ~ spl0_48 ),
inference(resolution,[],[f4074,f247]) ).
fof(f4312,plain,
( $false
| ~ spl0_23
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f4310,f52]) ).
fof(f4313,plain,
( ~ spl0_23
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f4312]) ).
fof(f4314,plain,
( spl0_28
| ~ spl0_21
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f4025,f770,f237,f273]) ).
fof(f4315,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_21 ),
inference(resolution,[],[f239,f75]) ).
fof(f4320,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_21
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f4315,f1508]) ).
fof(f4321,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_21
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f4320,f1504]) ).
fof(f4322,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_21
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f4321,f1500]) ).
fof(f4323,plain,
( product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_21
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f4322,f1496]) ).
fof(f4324,plain,
( ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_21
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f4323,f1492]) ).
fof(f4325,plain,
( ~ group_element(e_4)
| product(e_6,e_4,e_5)
| ~ spl0_21
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f4324,f24]) ).
fof(f4326,plain,
( product(e_6,e_4,e_5)
| ~ spl0_21
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f4325,f25]) ).
fof(f4334,plain,
( equalish(e_1,e_6)
| ~ spl0_13
| ~ spl0_104 ),
inference(resolution,[],[f772,f4060]) ).
fof(f4340,plain,
( $false
| ~ spl0_13
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f4334,f32]) ).
fof(f4341,plain,
( ~ spl0_13
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f4340]) ).
fof(f4343,plain,
( ! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(X0,e_4) )
| ~ spl0_22 ),
inference(resolution,[],[f243,f61]) ).
fof(f4348,plain,
( ! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(X0,e_2) )
| ~ spl0_31 ),
inference(resolution,[],[f295,f61]) ).
fof(f4374,plain,
( equalish(e_6,e_2)
| ~ spl0_2
| ~ spl0_31 ),
inference(resolution,[],[f4348,f112]) ).
fof(f4375,plain,
( $false
| ~ spl0_2
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f4374,f54]) ).
fof(f4376,plain,
( ~ spl0_2
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f4375]) ).
fof(f4384,plain,
( ~ group_element(e_1)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ spl0_2
| spl0_103 ),
inference(resolution,[],[f4189,f767]) ).
fof(f4386,plain,
( ~ group_element(e_3)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_3,e_5,e_3)
| ~ spl0_2
| spl0_60 ),
inference(resolution,[],[f4189,f479]) ).
fof(f4387,plain,
( ~ group_element(e_4)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_3,e_5,e_4)
| ~ spl0_2
| spl0_71 ),
inference(resolution,[],[f4189,f550]) ).
fof(f4403,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_3,e_5,e_3)
| ~ spl0_2
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f4386,f24]) ).
fof(f4405,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_3,e_5,e_3)
| ~ spl0_2
| spl0_60
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f4403,f495]) ).
fof(f4407,plain,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_3,e_5,e_3)
| ~ spl0_2
| spl0_60
| spl0_63
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f4405,f491]) ).
fof(f4409,plain,
( product(e_5,e_3,e_4)
| product(e_3,e_5,e_3)
| ~ spl0_2
| spl0_60
| spl0_62
| spl0_63
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f4407,f487]) ).
fof(f4411,plain,
( product(e_3,e_5,e_3)
| ~ spl0_2
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f4409,f483]) ).
fof(f4413,plain,
( $false
| ~ spl0_2
| spl0_26
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f4411,f266]) ).
fof(f4414,plain,
( ~ spl0_2
| spl0_26
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(avatar_contradiction_clause,[],[f4413]) ).
fof(f4417,plain,
( equalish(e_5,e_2)
| ~ spl0_59
| ~ spl0_64 ),
inference(resolution,[],[f496,f4000]) ).
fof(f4423,plain,
( $false
| ~ spl0_59
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f4417,f49]) ).
fof(f4424,plain,
( ~ spl0_59
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f4423]) ).
fof(f4425,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_3)
| ~ spl0_63 ),
inference(resolution,[],[f492,f75]) ).
fof(f4426,plain,
( ! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(X0,e_5) )
| ~ spl0_63 ),
inference(resolution,[],[f492,f61]) ).
fof(f4430,plain,
( equalish(e_5,e_6)
| ~ group_element(e_1)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ spl0_2
| ~ spl0_163 ),
inference(resolution,[],[f4226,f4189]) ).
fof(f4437,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_3,e_5,e_4)
| ~ spl0_2
| spl0_71 ),
inference(forward_subsumption_resolution,[],[f4387,f25]) ).
fof(f4438,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_3,e_5,e_4)
| ~ spl0_2
| spl0_71
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f4437,f566]) ).
fof(f4439,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_3,e_5,e_4)
| ~ spl0_2
| spl0_71
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f4438,f562]) ).
fof(f4440,plain,
( product(e_5,e_4,e_4)
| product(e_3,e_5,e_4)
| ~ spl0_2
| spl0_71
| spl0_73
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f4439,f558]) ).
fof(f4441,plain,
( product(e_3,e_5,e_4)
| ~ spl0_2
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f4440,f554]) ).
fof(f4442,plain,
( $false
| ~ spl0_2
| spl0_25
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f4441,f262]) ).
fof(f4443,plain,
( ~ spl0_2
| spl0_25
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(avatar_contradiction_clause,[],[f4442]) ).
fof(f4444,plain,
( equalish(e_1,e_6)
| ~ spl0_9
| ~ spl0_116 ),
inference(resolution,[],[f836,f4054]) ).
fof(f4450,plain,
( $false
| ~ spl0_9
| ~ spl0_116 ),
inference(forward_subsumption_resolution,[],[f4444,f32]) ).
fof(f4451,plain,
( ~ spl0_9
| ~ spl0_116 ),
inference(avatar_contradiction_clause,[],[f4450]) ).
fof(f4462,plain,
( equalish(e_1,e_5)
| ~ spl0_63
| ~ spl0_79 ),
inference(resolution,[],[f612,f4426]) ).
fof(f4469,plain,
( $false
| ~ spl0_63
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f4462,f31]) ).
fof(f4470,plain,
( ~ spl0_63
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f4469]) ).
fof(f4484,plain,
( equalish(e_1,e_6)
| ~ spl0_77
| ~ spl0_125 ),
inference(resolution,[],[f604,f4144]) ).
fof(f4490,plain,
( $false
| ~ spl0_77
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f4484,f32]) ).
fof(f4491,plain,
( ~ spl0_77
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f4490]) ).
fof(f4492,plain,
( product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_4)
| spl0_96
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f4207,f708]) ).
fof(f4494,plain,
( product(e_3,e_2,e_3)
| product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_4)
| spl0_95
| spl0_96
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f4492,f704]) ).
fof(f4496,plain,
( product(e_3,e_2,e_4)
| product(e_3,e_2,e_5)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_4)
| spl0_94
| spl0_95
| spl0_96
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f4494,f700]) ).
fof(f4498,plain,
( product(e_3,e_2,e_5)
| ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_4)
| spl0_93
| spl0_94
| spl0_95
| spl0_96
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f4496,f696]) ).
fof(f4500,plain,
( ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_6,e_2,e_4)
| spl0_92
| spl0_93
| spl0_94
| spl0_95
| spl0_96
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f4498,f692]) ).
fof(f4502,plain,
( ~ group_element(e_2)
| product(e_6,e_2,e_4)
| spl0_92
| spl0_93
| spl0_94
| spl0_95
| spl0_96
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f4500,f24]) ).
fof(f4504,plain,
( product(e_6,e_2,e_4)
| spl0_92
| spl0_93
| spl0_94
| spl0_95
| spl0_96
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f4502,f23]) ).
fof(f4506,plain,
( $false
| spl0_92
| spl0_93
| spl0_94
| spl0_95
| spl0_96
| ~ spl0_142
| spl0_145 ),
inference(forward_subsumption_resolution,[],[f4504,f1256]) ).
fof(f4507,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95
| spl0_96
| ~ spl0_142
| spl0_145 ),
inference(avatar_contradiction_clause,[],[f4506]) ).
fof(f4511,plain,
( ! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(X0,e_3) )
| ~ spl0_25 ),
inference(resolution,[],[f263,f61]) ).
fof(f4514,plain,
( ! [X0] :
( ~ product(e_5,X0,e_3)
| product(e_4,e_5,X0) )
| ~ spl0_25 ),
inference(resolution,[],[f263,f63]) ).
fof(f4534,plain,
( equalish(e_5,e_2)
| ~ spl0_73
| ~ spl0_142 ),
inference(resolution,[],[f4208,f559]) ).
fof(f4535,plain,
( $false
| ~ spl0_73
| ~ spl0_142 ),
inference(forward_subsumption_resolution,[],[f4534,f49]) ).
fof(f4536,plain,
( ~ spl0_73
| ~ spl0_142 ),
inference(avatar_contradiction_clause,[],[f4535]) ).
fof(f4537,plain,
( equalish(e_1,e_3)
| ~ spl0_25
| ~ spl0_35 ),
inference(resolution,[],[f319,f4511]) ).
fof(f4543,plain,
( $false
| ~ spl0_25
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f4537,f29]) ).
fof(f4544,plain,
( ~ spl0_25
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f4543]) ).
fof(f4545,plain,
( equalish(e_1,e_4)
| ~ spl0_22
| ~ spl0_37 ),
inference(resolution,[],[f327,f4343]) ).
fof(f4551,plain,
( $false
| ~ spl0_22
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f4545,f30]) ).
fof(f4552,plain,
( ~ spl0_22
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f4551]) ).
fof(f4583,plain,
( product(e_4,e_5,e_1)
| ~ spl0_25
| ~ spl0_105 ),
inference(resolution,[],[f4514,f776]) ).
fof(f4584,plain,
( product(e_4,e_5,e_2)
| ~ spl0_25
| ~ spl0_84 ),
inference(resolution,[],[f4514,f645]) ).
fof(f4585,plain,
( product(e_4,e_5,e_4)
| ~ spl0_25
| ~ spl0_73 ),
inference(resolution,[],[f4514,f559]) ).
fof(f4586,plain,
( $false
| spl0_20
| ~ spl0_25
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f4585,f234]) ).
fof(f4587,plain,
( spl0_20
| ~ spl0_25
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f4586]) ).
fof(f4588,plain,
( $false
| spl0_23
| ~ spl0_25
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f4583,f246]) ).
fof(f4589,plain,
( spl0_23
| ~ spl0_25
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f4588]) ).
fof(f4590,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ spl0_2
| spl0_103 ),
inference(forward_subsumption_resolution,[],[f4384,f22]) ).
fof(f4591,plain,
( ~ group_element(e_1)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ spl0_2
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f4430,f52]) ).
fof(f4592,plain,
( $false
| spl0_22
| ~ spl0_25
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f4584,f242]) ).
fof(f4593,plain,
( spl0_22
| ~ spl0_25
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f4592]) ).
fof(f4594,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ spl0_2
| spl0_103
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f4590,f783]) ).
fof(f4595,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ spl0_2
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f4591,f22]) ).
fof(f4596,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ spl0_2
| spl0_103
| spl0_106
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f4594,f779]) ).
fof(f4597,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ spl0_2
| spl0_107
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f4595,f783]) ).
fof(f4598,plain,
( product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ spl0_2
| spl0_103
| spl0_105
| spl0_106
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f4596,f775]) ).
fof(f4599,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ spl0_2
| spl0_106
| spl0_107
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f4597,f779]) ).
fof(f4600,plain,
( product(e_3,e_5,e_1)
| ~ spl0_2
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f4598,f771]) ).
fof(f4601,plain,
( product(e_5,e_1,e_4)
| product(e_3,e_5,e_1)
| ~ spl0_2
| spl0_105
| spl0_106
| spl0_107
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f4599,f775]) ).
fof(f4602,plain,
( $false
| ~ spl0_2
| spl0_28
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f4600,f274]) ).
fof(f4603,plain,
( ~ spl0_2
| spl0_28
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(avatar_contradiction_clause,[],[f4602]) ).
fof(f4604,plain,
( product(e_3,e_5,e_1)
| ~ spl0_2
| spl0_104
| spl0_105
| spl0_106
| spl0_107
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f4601,f771]) ).
fof(f4605,plain,
( $false
| ~ spl0_2
| spl0_28
| spl0_104
| spl0_105
| spl0_106
| spl0_107
| ~ spl0_163 ),
inference(forward_subsumption_resolution,[],[f4604,f274]) ).
fof(f4606,plain,
( ~ spl0_2
| spl0_28
| spl0_104
| spl0_105
| spl0_106
| spl0_107
| ~ spl0_163 ),
inference(avatar_contradiction_clause,[],[f4605]) ).
fof(f4614,plain,
( equalish(e_2,e_3)
| ~ spl0_25
| ~ spl0_30 ),
inference(resolution,[],[f291,f4511]) ).
fof(f4615,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| ~ group_element(e_4)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_30 ),
inference(resolution,[],[f291,f75]) ).
fof(f4620,plain,
( product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| ~ group_element(e_4)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_30
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f4615,f680]) ).
fof(f4621,plain,
( $false
| ~ spl0_25
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f4614,f34]) ).
fof(f4622,plain,
( ~ spl0_25
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f4621]) ).
fof(f4623,plain,
( product(e_4,e_2,e_3)
| product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| ~ group_element(e_4)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_30
| spl0_90
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f4620,f676]) ).
fof(f4624,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_5)
| ~ group_element(e_4)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_30
| spl0_89
| spl0_90
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f4623,f672]) ).
fof(f4625,plain,
( product(e_4,e_2,e_5)
| ~ group_element(e_4)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_30
| spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f4624,f668]) ).
fof(f4626,plain,
( ~ group_element(e_4)
| ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_30
| spl0_87
| spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f4625,f664]) ).
fof(f4627,plain,
( ~ group_element(e_2)
| product(e_6,e_2,e_5)
| ~ spl0_30
| spl0_87
| spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f4626,f25]) ).
fof(f4628,plain,
( product(e_6,e_2,e_5)
| ~ spl0_30
| spl0_87
| spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(forward_subsumption_resolution,[],[f4627,f23]) ).
fof(f4629,plain,
( $false
| ~ spl0_30
| spl0_87
| spl0_88
| spl0_89
| spl0_90
| spl0_91
| spl0_137 ),
inference(forward_subsumption_resolution,[],[f4628,f1079]) ).
fof(f4630,plain,
( ~ spl0_30
| spl0_87
| spl0_88
| spl0_89
| spl0_90
| spl0_91
| spl0_137 ),
inference(avatar_contradiction_clause,[],[f4629]) ).
fof(f4636,plain,
( equalish(e_5,e_6)
| ~ spl0_36
| ~ spl0_51 ),
inference(resolution,[],[f323,f4084]) ).
fof(f4637,plain,
( equalish(e_1,e_6)
| ~ spl0_2
| ~ spl0_36 ),
inference(resolution,[],[f323,f4068]) ).
fof(f4643,plain,
( $false
| ~ spl0_2
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f4637,f32]) ).
fof(f4644,plain,
( ~ spl0_2
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f4643]) ).
fof(f4645,plain,
( $false
| ~ spl0_36
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f4636,f52]) ).
fof(f4646,plain,
( ~ spl0_36
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[],[f4645]) ).
fof(f4662,plain,
( equalish(e_2,e_6)
| ~ spl0_13
| ~ spl0_83 ),
inference(resolution,[],[f641,f4060]) ).
fof(f4668,plain,
( $false
| ~ spl0_13
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f4662,f37]) ).
fof(f4669,plain,
( ~ spl0_13
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f4668]) ).
fof(f4670,plain,
( $false
| spl0_15
| ~ spl0_44
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f1938,f187]) ).
fof(f4671,plain,
( spl0_15
| ~ spl0_44
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f4670]) ).
fof(f4686,plain,
( equalish(e_4,e_2)
| ~ spl0_39
| ~ spl0_44 ),
inference(resolution,[],[f373,f4078]) ).
fof(f4692,plain,
( $false
| ~ spl0_39
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f4686,f44]) ).
fof(f4693,plain,
( ~ spl0_39
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f4692]) ).
fof(f4694,plain,
( equalish(e_4,e_1)
| ~ spl0_46
| ~ spl0_51 ),
inference(resolution,[],[f381,f4083]) ).
fof(f4697,plain,
( ! [X0] :
( ~ product(e_4,X0,e_3)
| equalish(X0,e_6) )
| ~ spl0_46 ),
inference(resolution,[],[f381,f60]) ).
fof(f4700,plain,
( $false
| ~ spl0_46
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f4694,f43]) ).
fof(f4701,plain,
( ~ spl0_46
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[],[f4700]) ).
fof(f4702,plain,
( product(e_3,e_6,e_3)
| product(e_3,e_6,e_4)
| product(e_3,e_6,e_1)
| ~ group_element(e_3)
| equalish(e_3,e_6)
| spl0_6
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f4092,f163]) ).
fof(f4703,plain,
( product(e_3,e_6,e_4)
| product(e_3,e_6,e_1)
| ~ group_element(e_3)
| equalish(e_3,e_6)
| spl0_6
| spl0_8
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f4702,f159]) ).
fof(f4704,plain,
( product(e_3,e_6,e_1)
| ~ group_element(e_3)
| equalish(e_3,e_6)
| spl0_6
| spl0_7
| spl0_8
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f4703,f155]) ).
fof(f4705,plain,
( ~ group_element(e_3)
| equalish(e_3,e_6)
| spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f4704,f167]) ).
fof(f4706,plain,
( equalish(e_3,e_6)
| spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f4705,f24]) ).
fof(f4707,plain,
( $false
| spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f4706,f42]) ).
fof(f4708,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f4707]) ).
fof(f4710,plain,
( ! [X0] :
( ~ product(X0,e_6,e_1)
| equalish(X0,e_3) )
| ~ spl0_10 ),
inference(resolution,[],[f168,f61]) ).
fof(f4715,plain,
( ! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(X0,e_6) )
| ~ spl0_4 ),
inference(resolution,[],[f120,f61]) ).
fof(f4718,plain,
( ! [X0] :
( ~ product(e_5,X0,e_6)
| product(e_1,e_5,X0) )
| ~ spl0_4 ),
inference(resolution,[],[f120,f63]) ).
fof(f4726,plain,
( ! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(X0,e_6) )
| ~ spl0_52 ),
inference(resolution,[],[f414,f60]) ).
fof(f4728,plain,
( ! [X0] :
( ~ product(e_6,X0,e_1)
| product(e_2,e_6,X0) )
| ~ spl0_52 ),
inference(resolution,[],[f414,f63]) ).
fof(f4735,plain,
( ! [X0] :
( ~ product(X0,e_5,e_4)
| equalish(X0,e_2) )
| ~ spl0_30 ),
inference(resolution,[],[f291,f61]) ).
fof(f4748,plain,
( ! [X0] :
( ~ product(e_5,X0,e_1)
| product(e_4,e_5,X0) )
| ~ spl0_35 ),
inference(resolution,[],[f319,f63]) ).
fof(f4761,plain,
( ! [X0] :
( ~ product(X0,e_1,e_4)
| equalish(X0,e_3) )
| ~ spl0_114 ),
inference(resolution,[],[f828,f61]) ).
fof(f4766,plain,
( ! [X0] :
( ~ product(X0,e_1,e_4)
| equalish(X0,e_2) )
| ~ spl0_119 ),
inference(resolution,[],[f856,f61]) ).
fof(f4776,plain,
( ! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(X0,e_5) )
| ~ spl0_106 ),
inference(resolution,[],[f780,f61]) ).
fof(f4785,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_3)
| ~ spl0_69 ),
inference(resolution,[],[f535,f75]) ).
fof(f4797,plain,
( ! [X0] :
( ~ product(X0,e_3,e_5)
| equalish(X0,e_6) )
| ~ spl0_124 ),
inference(resolution,[],[f955,f61]) ).
fof(f4822,plain,
( ! [X0] :
( product(e_1,e_5,X0)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_5)
| ~ group_element(e_5) )
| ~ spl0_4 ),
inference(resolution,[],[f4718,f58]) ).
fof(f4823,plain,
( ! [X0] :
( product(e_5,X0,e_5)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_1,e_5,X0) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f4822,f26]) ).
fof(f4830,plain,
( equalish(e_4,e_3)
| ~ spl0_10
| ~ spl0_48 ),
inference(resolution,[],[f4710,f389]) ).
fof(f4832,plain,
( $false
| ~ spl0_10
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f4830,f45]) ).
fof(f4833,plain,
( ~ spl0_10
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f4832]) ).
fof(f4872,plain,
( equalish(e_5,e_6)
| ~ spl0_21
| ~ spl0_46 ),
inference(resolution,[],[f4697,f239]) ).
fof(f4874,plain,
( $false
| ~ spl0_21
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[],[f4872,f52]) ).
fof(f4875,plain,
( ~ spl0_21
| ~ spl0_46 ),
inference(avatar_contradiction_clause,[],[f4874]) ).
fof(f4877,plain,
( ! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(X0,e_4) )
| ~ spl0_22 ),
inference(resolution,[],[f243,f61]) ).
fof(f4880,plain,
( ! [X0] :
( ~ product(e_5,X0,e_4)
| product(e_2,e_5,X0) )
| ~ spl0_22 ),
inference(resolution,[],[f243,f63]) ).
fof(f4893,plain,
( equalish(e_1,e_2)
| ~ spl0_30
| ~ spl0_35 ),
inference(resolution,[],[f4735,f319]) ).
fof(f4895,plain,
( $false
| ~ spl0_30
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f4893,f28]) ).
fof(f4896,plain,
( ~ spl0_30
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f4895]) ).
fof(f4897,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_3)
| spl0_33
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f4425,f302]) ).
fof(f4898,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_3)
| spl0_32
| spl0_33
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f4897,f298]) ).
fof(f4899,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_3)
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f4898,f294]) ).
fof(f4900,plain,
( product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_3)
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f4899,f290]) ).
fof(f4901,plain,
( ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_3)
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f4900,f286]) ).
fof(f4902,plain,
( ~ group_element(e_5)
| product(e_6,e_5,e_3)
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f4901,f23]) ).
fof(f4903,plain,
( product(e_6,e_5,e_3)
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f4902,f26]) ).
fof(f4904,plain,
( $false
| spl0_2
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f4903,f111]) ).
fof(f4905,plain,
( spl0_2
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f4904]) ).
fof(f4910,plain,
( ! [X0] :
( ~ product(e_5,X0,e_2)
| product(e_3,e_5,X0) )
| ~ spl0_31 ),
inference(resolution,[],[f295,f63]) ).
fof(f4922,plain,
( ! [X0] :
( ~ product(X0,e_3,e_4)
| equalish(X0,e_1) )
| ~ spl0_77 ),
inference(resolution,[],[f604,f61]) ).
fof(f4928,plain,
( ~ group_element(e_1)
| product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_5,e_1)
| ~ spl0_4
| spl0_103 ),
inference(resolution,[],[f4823,f767]) ).
fof(f4931,plain,
( ~ group_element(e_4)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_1,e_5,e_4)
| ~ spl0_4
| spl0_71 ),
inference(resolution,[],[f4823,f550]) ).
fof(f4951,plain,
( equalish(e_3,e_2)
| ~ spl0_114
| ~ spl0_119 ),
inference(resolution,[],[f4766,f828]) ).
fof(f4952,plain,
( equalish(e_6,e_2)
| ~ spl0_119
| ~ spl0_160 ),
inference(resolution,[],[f4766,f1657]) ).
fof(f4953,plain,
( $false
| ~ spl0_119
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f4952,f54]) ).
fof(f4954,plain,
( ~ spl0_119
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f4953]) ).
fof(f4955,plain,
( $false
| ~ spl0_114
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f4951,f39]) ).
fof(f4956,plain,
( ~ spl0_114
| ~ spl0_119 ),
inference(avatar_contradiction_clause,[],[f4955]) ).
fof(f4958,plain,
( ! [X0] :
( ~ product(X0,e_1,e_3)
| equalish(X0,e_2) )
| ~ spl0_120 ),
inference(resolution,[],[f860,f61]) ).
fof(f4963,plain,
( equalish(e_6,e_3)
| ~ spl0_114
| ~ spl0_160 ),
inference(resolution,[],[f4761,f1657]) ).
fof(f4964,plain,
( $false
| ~ spl0_114
| ~ spl0_160 ),
inference(forward_subsumption_resolution,[],[f4963,f55]) ).
fof(f4965,plain,
( ~ spl0_114
| ~ spl0_160 ),
inference(avatar_contradiction_clause,[],[f4964]) ).
fof(f4978,plain,
( equalish(e_4,e_5)
| ~ spl0_106
| ~ spl0_111 ),
inference(resolution,[],[f4776,f808]) ).
fof(f4980,plain,
( $false
| ~ spl0_106
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f4978,f46]) ).
fof(f4981,plain,
( ~ spl0_106
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f4980]) ).
fof(f4982,plain,
( product(e_5,e_1,e_1)
| product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_5,e_1)
| ~ spl0_4
| spl0_103 ),
inference(forward_subsumption_resolution,[],[f4928,f22]) ).
fof(f4983,plain,
( product(e_5,e_1,e_2)
| product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_5,e_1)
| ~ spl0_4
| spl0_103
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f4982,f783]) ).
fof(f4984,plain,
( product(e_5,e_1,e_3)
| product(e_5,e_1,e_4)
| product(e_1,e_5,e_1)
| ~ spl0_4
| spl0_103
| spl0_106
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f4983,f779]) ).
fof(f4985,plain,
( product(e_5,e_1,e_4)
| product(e_1,e_5,e_1)
| ~ spl0_4
| spl0_103
| spl0_105
| spl0_106
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f4984,f775]) ).
fof(f4986,plain,
( product(e_1,e_5,e_1)
| ~ spl0_4
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f4985,f771]) ).
fof(f4987,plain,
( $false
| ~ spl0_4
| spl0_38
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(forward_subsumption_resolution,[],[f4986,f330]) ).
fof(f4988,plain,
( ~ spl0_4
| spl0_38
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(avatar_contradiction_clause,[],[f4987]) ).
fof(f4989,plain,
( equalish(e_5,e_2)
| ~ spl0_105
| ~ spl0_120 ),
inference(resolution,[],[f776,f4958]) ).
fof(f4995,plain,
( $false
| ~ spl0_105
| ~ spl0_120 ),
inference(forward_subsumption_resolution,[],[f4989,f49]) ).
fof(f4996,plain,
( ~ spl0_105
| ~ spl0_120 ),
inference(avatar_contradiction_clause,[],[f4995]) ).
fof(f4997,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_3)
| ~ spl0_69
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f4785,f1644]) ).
fof(f4998,plain,
( product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_3)
| ~ spl0_69
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f4997,f1640]) ).
fof(f4999,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_5)
| ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_3)
| ~ spl0_69
| spl0_157
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f4998,f1636]) ).
fof(f5000,plain,
( product(e_1,e_4,e_5)
| ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_3)
| ~ spl0_69
| spl0_156
| spl0_157
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f4999,f1632]) ).
fof(f5001,plain,
( ~ group_element(e_1)
| ~ group_element(e_4)
| product(e_6,e_4,e_3)
| ~ spl0_69
| spl0_155
| spl0_156
| spl0_157
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f5000,f1628]) ).
fof(f5002,plain,
( ~ group_element(e_4)
| product(e_6,e_4,e_3)
| ~ spl0_69
| spl0_155
| spl0_156
| spl0_157
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f5001,f22]) ).
fof(f5003,plain,
( product(e_6,e_4,e_3)
| ~ spl0_69
| spl0_155
| spl0_156
| spl0_157
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f5002,f25]) ).
fof(f5004,plain,
( $false
| ~ spl0_69
| spl0_70
| spl0_155
| spl0_156
| spl0_157
| spl0_158
| spl0_159 ),
inference(forward_subsumption_resolution,[],[f5003,f546]) ).
fof(f5005,plain,
( ~ spl0_69
| spl0_70
| spl0_155
| spl0_156
| spl0_157
| spl0_158
| spl0_159 ),
inference(avatar_contradiction_clause,[],[f5004]) ).
fof(f5031,plain,
( ! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(X0,e_5) )
| ~ spl0_106 ),
inference(resolution,[],[f780,f61]) ).
fof(f5058,plain,
( product(e_3,e_5,e_1)
| ~ spl0_31
| ~ spl0_106 ),
inference(resolution,[],[f4910,f780]) ).
fof(f5059,plain,
( product(e_3,e_5,e_3)
| ~ spl0_31
| ~ spl0_63 ),
inference(resolution,[],[f4910,f492]) ).
fof(f5060,plain,
( $false
| spl0_26
| ~ spl0_31
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f5059,f266]) ).
fof(f5061,plain,
( spl0_26
| ~ spl0_31
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f5060]) ).
fof(f5062,plain,
( $false
| spl0_28
| ~ spl0_31
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f5058,f274]) ).
fof(f5063,plain,
( spl0_28
| ~ spl0_31
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f5062]) ).
fof(f5064,plain,
( product(e_2,e_5,e_3)
| ~ spl0_22
| ~ spl0_61 ),
inference(resolution,[],[f484,f4880]) ).
fof(f5065,plain,
( equalish(e_3,e_6)
| ~ spl0_13
| ~ spl0_61 ),
inference(resolution,[],[f484,f4060]) ).
fof(f5066,plain,
( equalish(e_5,e_1)
| ~ spl0_61
| ~ spl0_77 ),
inference(resolution,[],[f484,f4922]) ).
fof(f5072,plain,
( $false
| ~ spl0_61
| ~ spl0_77 ),
inference(forward_subsumption_resolution,[],[f5066,f48]) ).
fof(f5073,plain,
( ~ spl0_61
| ~ spl0_77 ),
inference(avatar_contradiction_clause,[],[f5072]) ).
fof(f5074,plain,
( $false
| ~ spl0_13
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f5065,f42]) ).
fof(f5075,plain,
( ~ spl0_13
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f5074]) ).
fof(f5084,plain,
( product(e_4,e_5,e_2)
| ~ spl0_35
| ~ spl0_86 ),
inference(resolution,[],[f4748,f653]) ).
fof(f5085,plain,
( product(e_4,e_5,e_3)
| ~ spl0_35
| ~ spl0_64 ),
inference(resolution,[],[f4748,f496]) ).
fof(f5086,plain,
( product(e_4,e_5,e_4)
| ~ spl0_35
| ~ spl0_75 ),
inference(resolution,[],[f4748,f567]) ).
fof(f5087,plain,
( $false
| spl0_20
| ~ spl0_35
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f5086,f234]) ).
fof(f5088,plain,
( spl0_20
| ~ spl0_35
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f5087]) ).
fof(f5089,plain,
( $false
| spl0_21
| ~ spl0_35
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f5085,f238]) ).
fof(f5090,plain,
( spl0_21
| ~ spl0_35
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f5089]) ).
fof(f5093,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_1,e_5,e_4)
| ~ spl0_4
| spl0_71 ),
inference(forward_subsumption_resolution,[],[f4931,f25]) ).
fof(f5096,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_1,e_5,e_4)
| ~ spl0_4
| spl0_71
| spl0_74 ),
inference(forward_subsumption_resolution,[],[f5093,f562]) ).
fof(f5099,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_4)
| product(e_1,e_5,e_4)
| ~ spl0_4
| spl0_71
| spl0_73
| spl0_74 ),
inference(forward_subsumption_resolution,[],[f5096,f558]) ).
fof(f5102,plain,
( product(e_5,e_4,e_1)
| product(e_1,e_5,e_4)
| ~ spl0_4
| spl0_71
| spl0_72
| spl0_73
| spl0_74 ),
inference(forward_subsumption_resolution,[],[f5099,f554]) ).
fof(f5105,plain,
( product(e_5,e_4,e_1)
| ~ spl0_4
| spl0_35
| spl0_71
| spl0_72
| spl0_73
| spl0_74 ),
inference(forward_subsumption_resolution,[],[f5102,f318]) ).
fof(f5108,plain,
( spl0_75
| ~ spl0_4
| spl0_35
| spl0_71
| spl0_72
| spl0_73
| spl0_74 ),
inference(avatar_split_clause,[],[f5105,f561,f557,f553,f549,f317,f118,f565]) ).
fof(f5132,plain,
( equalish(e_3,e_6)
| ~ spl0_52
| ~ spl0_79 ),
inference(resolution,[],[f612,f4726]) ).
fof(f5138,plain,
( $false
| ~ spl0_52
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[],[f5132,f42]) ).
fof(f5139,plain,
( ~ spl0_52
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f5138]) ).
fof(f5163,plain,
( equalish(e_3,e_4)
| ~ spl0_22
| ~ spl0_27 ),
inference(resolution,[],[f271,f4877]) ).
fof(f5169,plain,
( $false
| ~ spl0_22
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f5163,f40]) ).
fof(f5170,plain,
( ~ spl0_22
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f5169]) ).
fof(f5175,plain,
( ! [X0] :
( ~ product(e_5,X0,e_2)
| product(e_4,e_5,X0) )
| ~ spl0_30 ),
inference(resolution,[],[f291,f63]) ).
fof(f5176,plain,
( equalish(e_4,e_6)
| ~ spl0_4
| ~ spl0_23 ),
inference(resolution,[],[f247,f4715]) ).
fof(f5182,plain,
( $false
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f5176,f47]) ).
fof(f5183,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f5182]) ).
fof(f5184,plain,
( product(e_2,e_6,e_4)
| ~ spl0_52
| ~ spl0_130 ),
inference(resolution,[],[f1006,f4728]) ).
fof(f5186,plain,
( ! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(X0,e_6) )
| ~ spl0_130 ),
inference(resolution,[],[f1006,f61]) ).
fof(f5190,plain,
( $false
| spl0_40
| ~ spl0_52
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f5184,f347]) ).
fof(f5191,plain,
( spl0_40
| ~ spl0_52
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f5190]) ).
fof(f5196,plain,
( ! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(X0,e_6) )
| ~ spl0_9 ),
inference(resolution,[],[f164,f60]) ).
fof(f5197,plain,
( ! [X0] :
( ~ product(e_3,e_6,X0)
| equalish(X0,e_2) )
| ~ spl0_9 ),
inference(resolution,[],[f164,f59]) ).
fof(f5200,plain,
( ! [X0] :
( ~ product(X0,e_5,e_2)
| equalish(X0,e_6) )
| ~ spl0_3 ),
inference(resolution,[],[f116,f61]) ).
fof(f5203,plain,
( ! [X0] :
( ~ product(e_5,X0,e_6)
| product(e_2,e_5,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f116,f63]) ).
fof(f5208,plain,
( ! [X0] :
( ~ product(e_6,X0,e_2)
| product(e_1,e_6,X0) )
| ~ spl0_43 ),
inference(resolution,[],[f360,f63]) ).
fof(f5211,plain,
( ! [X0] :
( ~ product(e_1,X0,e_5)
| equalish(X0,e_6) )
| ~ spl0_49 ),
inference(resolution,[],[f402,f60]) ).
fof(f5215,plain,
( ! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(X0,e_3) )
| ~ spl0_28 ),
inference(resolution,[],[f275,f61]) ).
fof(f5224,plain,
( product(e_2,e_6,e_2)
| product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_1)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| spl0_39 ),
inference(resolution,[],[f343,f81]) ).
fof(f5236,plain,
( ! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(X0,e_1) )
| ~ spl0_98 ),
inference(resolution,[],[f735,f61]) ).
fof(f5261,plain,
( equalish(e_6,e_5)
| ~ spl0_106
| ~ spl0_139 ),
inference(resolution,[],[f1140,f5031]) ).
fof(f5267,plain,
( $false
| ~ spl0_106
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f5261,f57]) ).
fof(f5268,plain,
( ~ spl0_106
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f5267]) ).
fof(f5284,plain,
( ! [X0] :
( product(e_2,e_5,X0)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_5)
| ~ group_element(e_5) )
| ~ spl0_3 ),
inference(resolution,[],[f5203,f58]) ).
fof(f5285,plain,
( ! [X0] :
( product(e_5,X0,e_5)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_2,e_5,X0) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f5284,f26]) ).
fof(f5298,plain,
( equalish(e_4,e_6)
| ~ spl0_9
| ~ spl0_153 ),
inference(resolution,[],[f5196,f1505]) ).
fof(f5299,plain,
( $false
| ~ spl0_9
| ~ spl0_153 ),
inference(forward_subsumption_resolution,[],[f5298,f47]) ).
fof(f5300,plain,
( ~ spl0_9
| ~ spl0_153 ),
inference(avatar_contradiction_clause,[],[f5299]) ).
fof(f5301,plain,
( equalish(e_3,e_6)
| ~ spl0_130
| ~ spl0_154 ),
inference(resolution,[],[f1509,f5186]) ).
fof(f5307,plain,
( $false
| ~ spl0_130
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f5301,f42]) ).
fof(f5308,plain,
( ~ spl0_130
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f5307]) ).
fof(f5309,plain,
( equalish(e_2,e_6)
| ~ spl0_55
| ~ spl0_124 ),
inference(resolution,[],[f434,f4797]) ).
fof(f5315,plain,
( $false
| ~ spl0_55
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f5309,f37]) ).
fof(f5316,plain,
( ~ spl0_55
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f5315]) ).
fof(f5327,plain,
( equalish(e_4,e_6)
| ~ spl0_65
| ~ spl0_124 ),
inference(resolution,[],[f519,f4797]) ).
fof(f5333,plain,
( $false
| ~ spl0_65
| ~ spl0_124 ),
inference(forward_subsumption_resolution,[],[f5327,f47]) ).
fof(f5334,plain,
( ~ spl0_65
| ~ spl0_124 ),
inference(avatar_contradiction_clause,[],[f5333]) ).
fof(f5341,plain,
( ! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(X0,e_4) )
| ~ spl0_69 ),
inference(resolution,[],[f535,f61]) ).
fof(f5346,plain,
( ! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(X0,e_3) )
| ~ spl0_150 ),
inference(resolution,[],[f1493,f61]) ).
fof(f5351,plain,
( ! [X0] :
( ~ product(X0,e_4,e_3)
| equalish(X0,e_1) )
| ~ spl0_157 ),
inference(resolution,[],[f1637,f61]) ).
fof(f5364,plain,
( product(e_1,e_6,e_1)
| ~ spl0_43
| ~ spl0_139 ),
inference(resolution,[],[f5208,f1140]) ).
fof(f5365,plain,
( product(e_1,e_6,e_5)
| ~ spl0_3
| ~ spl0_43 ),
inference(resolution,[],[f5208,f116]) ).
fof(f5367,plain,
( $false
| ~ spl0_43
| spl0_53
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f5364,f417]) ).
fof(f5368,plain,
( ~ spl0_43
| spl0_53
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f5367]) ).
fof(f5387,plain,
( equalish(e_4,e_3)
| ~ spl0_23
| ~ spl0_28 ),
inference(resolution,[],[f5215,f247]) ).
fof(f5388,plain,
( $false
| ~ spl0_23
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f5387,f45]) ).
fof(f5389,plain,
( ~ spl0_23
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f5388]) ).
fof(f5399,plain,
( ~ group_element(e_2)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_2,e_5,e_2)
| ~ spl0_3
| spl0_82 ),
inference(resolution,[],[f5285,f636]) ).
fof(f5401,plain,
( ~ group_element(e_4)
| product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_2,e_5,e_4)
| ~ spl0_3
| spl0_71 ),
inference(resolution,[],[f5285,f550]) ).
fof(f5427,plain,
( equalish(e_6,e_1)
| ~ spl0_98
| ~ spl0_145 ),
inference(resolution,[],[f5236,f1257]) ).
fof(f5428,plain,
( $false
| ~ spl0_98
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f5427,f53]) ).
fof(f5429,plain,
( ~ spl0_98
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f5428]) ).
fof(f5431,plain,
( ! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(X0,e_1) )
| ~ spl0_99 ),
inference(resolution,[],[f739,f61]) ).
fof(f5436,plain,
( equalish(e_5,e_1)
| ~ spl0_84
| ~ spl0_99 ),
inference(resolution,[],[f5431,f645]) ).
fof(f5437,plain,
( $false
| ~ spl0_84
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f5436,f48]) ).
fof(f5438,plain,
( ~ spl0_84
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f5437]) ).
fof(f5439,plain,
( equalish(e_2,e_6)
| ~ spl0_49
| ~ spl0_97 ),
inference(resolution,[],[f731,f5211]) ).
fof(f5445,plain,
( $false
| ~ spl0_49
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f5439,f37]) ).
fof(f5446,plain,
( ~ spl0_49
| ~ spl0_97 ),
inference(avatar_contradiction_clause,[],[f5445]) ).
fof(f5447,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_2,e_5,e_2)
| ~ spl0_3
| spl0_82 ),
inference(forward_subsumption_resolution,[],[f5399,f23]) ).
fof(f5448,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_2,e_5,e_2)
| ~ spl0_3
| spl0_82
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f5447,f652]) ).
fof(f5449,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_2,e_5,e_2)
| ~ spl0_3
| spl0_82
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f5448,f648]) ).
fof(f5450,plain,
( product(e_5,e_2,e_4)
| product(e_2,e_5,e_2)
| ~ spl0_3
| spl0_82
| spl0_84
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f5449,f644]) ).
fof(f5451,plain,
( product(e_2,e_5,e_2)
| ~ spl0_3
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f5450,f640]) ).
fof(f5452,plain,
( $false
| ~ spl0_3
| spl0_32
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f5451,f298]) ).
fof(f5453,plain,
( ~ spl0_3
| spl0_32
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(avatar_contradiction_clause,[],[f5452]) ).
fof(f5469,plain,
( product(e_2,e_5,e_1)
| product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_4)
| ~ spl0_74 ),
inference(resolution,[],[f563,f75]) ).
fof(f5491,plain,
( product(e_4,e_5,e_1)
| ~ spl0_30
| ~ spl0_106 ),
inference(resolution,[],[f5175,f780]) ).
fof(f5492,plain,
( product(e_4,e_5,e_3)
| ~ spl0_30
| ~ spl0_63 ),
inference(resolution,[],[f5175,f492]) ).
fof(f5493,plain,
( product(e_4,e_5,e_4)
| ~ spl0_30
| ~ spl0_74 ),
inference(resolution,[],[f5175,f563]) ).
fof(f5494,plain,
( $false
| spl0_20
| ~ spl0_30
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5493,f234]) ).
fof(f5495,plain,
( spl0_20
| ~ spl0_30
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f5494]) ).
fof(f5496,plain,
( $false
| spl0_21
| ~ spl0_30
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f5492,f238]) ).
fof(f5497,plain,
( spl0_21
| ~ spl0_30
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f5496]) ).
fof(f5498,plain,
( product(e_2,e_5,e_2)
| product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_4)
| spl0_33
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5469,f302]) ).
fof(f5499,plain,
( product(e_2,e_5,e_3)
| product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_4)
| spl0_32
| spl0_33
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5498,f298]) ).
fof(f5500,plain,
( product(e_2,e_5,e_4)
| product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_4)
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5499,f294]) ).
fof(f5501,plain,
( product(e_2,e_5,e_5)
| ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_4)
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5500,f290]) ).
fof(f5502,plain,
( ~ group_element(e_2)
| ~ group_element(e_5)
| product(e_6,e_5,e_4)
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5501,f286]) ).
fof(f5503,plain,
( ~ group_element(e_5)
| product(e_6,e_5,e_4)
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5502,f23]) ).
fof(f5504,plain,
( product(e_6,e_5,e_4)
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5503,f26]) ).
fof(f5505,plain,
( $false
| spl0_1
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f5504,f107]) ).
fof(f5506,plain,
( spl0_1
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f5505]) ).
fof(f5517,plain,
( equalish(e_1,e_6)
| ~ spl0_3
| ~ spl0_37 ),
inference(resolution,[],[f327,f5200]) ).
fof(f5518,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5)
| ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_6,e_1,e_5)
| ~ spl0_37 ),
inference(resolution,[],[f327,f75]) ).
fof(f5523,plain,
( product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5)
| ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_6,e_1,e_5)
| ~ spl0_37
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f5518,f867]) ).
fof(f5524,plain,
( $false
| ~ spl0_3
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f5517,f32]) ).
fof(f5525,plain,
( ~ spl0_3
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f5524]) ).
fof(f5526,plain,
( product(e_2,e_1,e_3)
| product(e_2,e_1,e_4)
| product(e_2,e_1,e_5)
| ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_6,e_1,e_5)
| ~ spl0_37
| spl0_121
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f5523,f863]) ).
fof(f5527,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_1,e_5)
| ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_6,e_1,e_5)
| ~ spl0_37
| spl0_120
| spl0_121
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f5526,f859]) ).
fof(f5528,plain,
( product(e_2,e_1,e_5)
| ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_6,e_1,e_5)
| ~ spl0_37
| spl0_119
| spl0_120
| spl0_121
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f5527,f855]) ).
fof(f5529,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_6,e_1,e_5)
| ~ spl0_37
| spl0_118
| spl0_119
| spl0_120
| spl0_121
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f5528,f851]) ).
fof(f5530,plain,
( ~ group_element(e_1)
| product(e_6,e_1,e_5)
| ~ spl0_37
| spl0_118
| spl0_119
| spl0_120
| spl0_121
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f5529,f23]) ).
fof(f5531,plain,
( product(e_6,e_1,e_5)
| ~ spl0_37
| spl0_118
| spl0_119
| spl0_120
| spl0_121
| spl0_122 ),
inference(forward_subsumption_resolution,[],[f5530,f22]) ).
fof(f5532,plain,
( $false
| ~ spl0_37
| spl0_118
| spl0_119
| spl0_120
| spl0_121
| spl0_122
| spl0_163 ),
inference(forward_subsumption_resolution,[],[f5531,f2127]) ).
fof(f5533,plain,
( ~ spl0_37
| spl0_118
| spl0_119
| spl0_120
| spl0_121
| spl0_122
| spl0_163 ),
inference(avatar_contradiction_clause,[],[f5532]) ).
fof(f5535,plain,
( product(e_5,e_4,e_1)
| product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_2,e_5,e_4)
| ~ spl0_3
| spl0_71 ),
inference(forward_subsumption_resolution,[],[f5401,f25]) ).
fof(f5537,plain,
( product(e_5,e_4,e_2)
| product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_2,e_5,e_4)
| ~ spl0_3
| spl0_71
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f5535,f566]) ).
fof(f5539,plain,
( product(e_5,e_4,e_3)
| product(e_5,e_4,e_4)
| product(e_2,e_5,e_4)
| ~ spl0_3
| spl0_71
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f5537,f562]) ).
fof(f5541,plain,
( product(e_5,e_4,e_4)
| product(e_2,e_5,e_4)
| ~ spl0_3
| spl0_71
| spl0_73
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f5539,f558]) ).
fof(f5543,plain,
( product(e_2,e_5,e_4)
| ~ spl0_3
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f5541,f554]) ).
fof(f5545,plain,
( $false
| ~ spl0_3
| spl0_30
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(forward_subsumption_resolution,[],[f5543,f290]) ).
fof(f5546,plain,
( ~ spl0_3
| spl0_30
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(avatar_contradiction_clause,[],[f5545]) ).
fof(f5549,plain,
( equalish(e_4,e_6)
| ~ spl0_3
| ~ spl0_22 ),
inference(resolution,[],[f243,f5200]) ).
fof(f5555,plain,
( $false
| ~ spl0_3
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f5549,f47]) ).
fof(f5556,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f5555]) ).
fof(f5557,plain,
( spl0_6
| ~ spl0_4
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f2269,f408,f118,f150]) ).
fof(f5566,plain,
( equalish(e_5,e_2)
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f152,f5197]) ).
fof(f5568,plain,
( ! [X0] :
( ~ product(X0,e_6,e_5)
| equalish(X0,e_3) )
| ~ spl0_6 ),
inference(resolution,[],[f152,f61]) ).
fof(f5569,plain,
( ! [X0] :
( ~ product(e_3,X0,e_5)
| equalish(X0,e_6) )
| ~ spl0_6 ),
inference(resolution,[],[f152,f60]) ).
fof(f5571,plain,
( ! [X0] :
( ~ product(e_6,X0,e_3)
| product(e_5,e_6,X0) )
| ~ spl0_6 ),
inference(resolution,[],[f152,f63]) ).
fof(f5572,plain,
( $false
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f5566,f49]) ).
fof(f5573,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f5572]) ).
fof(f5576,plain,
( equalish(e_2,e_4)
| ~ spl0_13
| ~ spl0_15 ),
inference(resolution,[],[f188,f4061]) ).
fof(f5582,plain,
( $false
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f5576,f35]) ).
fof(f5583,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f5582]) ).
fof(f5605,plain,
( ! [X0] :
( ~ product(X0,e_6,e_3)
| equalish(X0,e_2) )
| ~ spl0_41 ),
inference(resolution,[],[f352,f61]) ).
fof(f5611,plain,
( ! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(X0,e_6) )
| ~ spl0_51 ),
inference(resolution,[],[f410,f60]) ).
fof(f5615,plain,
( ! [X0] :
( ~ product(X0,e_5,e_3)
| equalish(X0,e_4) )
| ~ spl0_21 ),
inference(resolution,[],[f239,f61]) ).
fof(f5625,plain,
( ! [X0] :
( ~ product(X0,e_5,e_1)
| equalish(X0,e_3) )
| ~ spl0_28 ),
inference(resolution,[],[f275,f61]) ).
fof(f5650,plain,
( equalish(e_2,e_3)
| ~ spl0_140
| ~ spl0_150 ),
inference(resolution,[],[f1226,f5346]) ).
fof(f5656,plain,
( $false
| ~ spl0_140
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f5650,f34]) ).
fof(f5657,plain,
( ~ spl0_140
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f5656]) ).
fof(f5693,plain,
( equalish(e_5,e_4)
| ~ spl0_64
| ~ spl0_69 ),
inference(resolution,[],[f496,f5341]) ).
fof(f5699,plain,
( $false
| ~ spl0_64
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f5693,f51]) ).
fof(f5700,plain,
( ~ spl0_64
| ~ spl0_69 ),
inference(avatar_contradiction_clause,[],[f5699]) ).
fof(f5716,plain,
( equalish(e_5,e_1)
| ~ spl0_73
| ~ spl0_157 ),
inference(resolution,[],[f559,f5351]) ).
fof(f5722,plain,
( $false
| ~ spl0_73
| ~ spl0_157 ),
inference(forward_subsumption_resolution,[],[f5716,f48]) ).
fof(f5723,plain,
( ~ spl0_73
| ~ spl0_157 ),
inference(avatar_contradiction_clause,[],[f5722]) ).
fof(f5757,plain,
( product(e_5,e_6,e_1)
| ~ spl0_6
| ~ spl0_161 ),
inference(resolution,[],[f5571,f1691]) ).
fof(f5770,plain,
( equalish(e_4,e_3)
| ~ spl0_6
| ~ spl0_44 ),
inference(resolution,[],[f5568,f373]) ).
fof(f5773,plain,
( $false
| ~ spl0_6
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f5770,f45]) ).
fof(f5774,plain,
( ~ spl0_6
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f5773]) ).
fof(f5781,plain,
( equalish(e_2,e_6)
| ~ spl0_6
| ~ spl0_92 ),
inference(resolution,[],[f5569,f693]) ).
fof(f5784,plain,
( $false
| ~ spl0_6
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f5781,f37]) ).
fof(f5785,plain,
( ~ spl0_6
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f5784]) ).
fof(f5787,plain,
( ! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(X0,e_3) )
| ~ spl0_96 ),
inference(resolution,[],[f709,f61]) ).
fof(f5793,plain,
( equalish(e_1,e_2)
| ~ spl0_41
| ~ spl0_51 ),
inference(resolution,[],[f5605,f410]) ).
fof(f5796,plain,
( $false
| ~ spl0_41
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f5793,f28]) ).
fof(f5797,plain,
( ~ spl0_41
| ~ spl0_51 ),
inference(avatar_contradiction_clause,[],[f5796]) ).
fof(f5798,plain,
( $false
| spl0_23
| ~ spl0_30
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f5491,f246]) ).
fof(f5799,plain,
( spl0_23
| ~ spl0_30
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f5798]) ).
fof(f5802,plain,
( ! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(X0,e_6) )
| ~ spl0_43 ),
inference(resolution,[],[f360,f60]) ).
fof(f5804,plain,
( ! [X0] :
( ~ product(e_6,X0,e_2)
| product(e_1,e_6,X0) )
| ~ spl0_43 ),
inference(resolution,[],[f360,f63]) ).
fof(f5805,plain,
( equalish(e_1,e_6)
| ~ spl0_6
| ~ spl0_113 ),
inference(resolution,[],[f824,f5569]) ).
fof(f5811,plain,
( $false
| ~ spl0_6
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f5805,f32]) ).
fof(f5812,plain,
( ~ spl0_6
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f5811]) ).
fof(f5833,plain,
( ! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(X0,e_4) )
| ~ spl0_87 ),
inference(resolution,[],[f665,f61]) ).
fof(f5847,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ group_element(e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_1)
| ~ spl0_118 ),
inference(resolution,[],[f852,f75]) ).
fof(f5869,plain,
( ! [X0] :
( ~ product(X0,e_4,e_3)
| equalish(X0,e_6) )
| ~ spl0_70 ),
inference(resolution,[],[f547,f61]) ).
fof(f5888,plain,
( product(e_1,e_6,e_3)
| ~ spl0_43
| ~ spl0_127 ),
inference(resolution,[],[f5804,f967]) ).
fof(f5907,plain,
( equalish(e_6,e_3)
| ~ spl0_4
| ~ spl0_28 ),
inference(resolution,[],[f5625,f120]) ).
fof(f5908,plain,
( $false
| ~ spl0_4
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f5907,f55]) ).
fof(f5909,plain,
( ~ spl0_4
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f5908]) ).
fof(f5910,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ group_element(e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_1)
| spl0_86
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f5847,f652]) ).
fof(f5911,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ group_element(e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_1)
| spl0_85
| spl0_86
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f5910,f648]) ).
fof(f5912,plain,
( product(e_5,e_2,e_4)
| product(e_5,e_2,e_5)
| ~ group_element(e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_1)
| spl0_84
| spl0_85
| spl0_86
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f5911,f644]) ).
fof(f5913,plain,
( product(e_5,e_2,e_5)
| ~ group_element(e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_1)
| spl0_83
| spl0_84
| spl0_85
| spl0_86
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f5912,f640]) ).
fof(f5914,plain,
( ~ group_element(e_5)
| ~ group_element(e_2)
| product(e_6,e_2,e_1)
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f5913,f636]) ).
fof(f5915,plain,
( ~ group_element(e_2)
| product(e_6,e_2,e_1)
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f5914,f26]) ).
fof(f5916,plain,
( product(e_6,e_2,e_1)
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f5915,f23]) ).
fof(f5919,plain,
( equalish(e_5,e_6)
| ~ spl0_33
| ~ spl0_43 ),
inference(resolution,[],[f303,f5802]) ).
fof(f5925,plain,
( $false
| ~ spl0_33
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f5919,f52]) ).
fof(f5926,plain,
( ~ spl0_33
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f5925]) ).
fof(f5927,plain,
( $false
| spl0_22
| ~ spl0_35
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f5084,f242]) ).
fof(f5928,plain,
( spl0_22
| ~ spl0_35
| ~ spl0_86 ),
inference(avatar_contradiction_clause,[],[f5927]) ).
fof(f5944,plain,
( equalish(e_4,e_6)
| ~ spl0_43
| ~ spl0_144 ),
inference(resolution,[],[f1242,f5802]) ).
fof(f5950,plain,
( $false
| ~ spl0_43
| ~ spl0_144 ),
inference(forward_subsumption_resolution,[],[f5944,f47]) ).
fof(f5951,plain,
( ~ spl0_43
| ~ spl0_144 ),
inference(avatar_contradiction_clause,[],[f5950]) ).
fof(f6014,plain,
( equalish(e_6,e_4)
| product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_87 ),
inference(resolution,[],[f5833,f83]) ).
fof(f6015,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_87 ),
inference(forward_subsumption_resolution,[],[f6014,f56]) ).
fof(f6018,plain,
( product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_87
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6015,f1317]) ).
fof(f6019,plain,
( product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_87
| spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6018,f1313]) ).
fof(f6020,plain,
( product(e_6,e_2,e_4)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_87
| spl0_123
| spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6019,f899]) ).
fof(f6021,plain,
( ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_87
| spl0_123
| spl0_145
| spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6020,f1256]) ).
fof(f6022,plain,
( equalish(e_2,e_6)
| ~ spl0_87
| spl0_123
| spl0_145
| spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6021,f23]) ).
fof(f6023,plain,
( $false
| ~ spl0_87
| spl0_123
| spl0_145
| spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6022,f37]) ).
fof(f6024,plain,
( ~ spl0_87
| spl0_123
| spl0_145
| spl0_146
| spl0_147 ),
inference(avatar_contradiction_clause,[],[f6023]) ).
fof(f6049,plain,
( equalish(e_5,e_6)
| ~ spl0_70
| ~ spl0_73 ),
inference(resolution,[],[f5869,f559]) ).
fof(f6051,plain,
( $false
| ~ spl0_70
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f6049,f52]) ).
fof(f6052,plain,
( ~ spl0_70
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f6051]) ).
fof(f6058,plain,
( equalish(e_5,e_3)
| ~ spl0_86
| ~ spl0_96 ),
inference(resolution,[],[f653,f5787]) ).
fof(f6064,plain,
( $false
| ~ spl0_86
| ~ spl0_96 ),
inference(forward_subsumption_resolution,[],[f6058,f50]) ).
fof(f6065,plain,
( ~ spl0_86
| ~ spl0_96 ),
inference(avatar_contradiction_clause,[],[f6064]) ).
fof(f6071,plain,
( equalish(e_2,e_6)
| ~ spl0_51
| ~ spl0_99 ),
inference(resolution,[],[f739,f5611]) ).
fof(f6077,plain,
( $false
| ~ spl0_51
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[],[f6071,f37]) ).
fof(f6078,plain,
( ~ spl0_51
| ~ spl0_99 ),
inference(avatar_contradiction_clause,[],[f6077]) ).
fof(f6080,plain,
( ! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(X0,e_1) )
| ~ spl0_97 ),
inference(resolution,[],[f731,f61]) ).
fof(f6102,plain,
( equalish(e_6,e_1)
| product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_97 ),
inference(resolution,[],[f6080,f83]) ).
fof(f6103,plain,
( product(e_6,e_2,e_1)
| product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_97 ),
inference(forward_subsumption_resolution,[],[f6102,f53]) ).
fof(f6106,plain,
( product(e_6,e_2,e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_97
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6103,f1317]) ).
fof(f6107,plain,
( product(e_6,e_2,e_3)
| product(e_6,e_2,e_4)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_97
| spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6106,f1313]) ).
fof(f6108,plain,
( product(e_6,e_2,e_4)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_97
| spl0_123
| spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6107,f899]) ).
fof(f6109,plain,
( ~ group_element(e_2)
| equalish(e_2,e_6)
| ~ spl0_97
| spl0_123
| spl0_145
| spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6108,f1256]) ).
fof(f6110,plain,
( equalish(e_2,e_6)
| ~ spl0_97
| spl0_123
| spl0_145
| spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6109,f23]) ).
fof(f6111,plain,
( $false
| ~ spl0_97
| spl0_123
| spl0_145
| spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f6110,f37]) ).
fof(f6112,plain,
( ~ spl0_97
| spl0_123
| spl0_145
| spl0_146
| spl0_147 ),
inference(avatar_contradiction_clause,[],[f6111]) ).
fof(f6113,plain,
( spl0_49
| ~ spl0_3
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f5365,f358,f114,f400]) ).
fof(f6114,plain,
( $false
| ~ spl0_43
| spl0_51
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f5888,f409]) ).
fof(f6115,plain,
( ~ spl0_43
| spl0_51
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f6114]) ).
fof(f6132,plain,
( equalish(e_1,e_3)
| ~ spl0_6
| ~ spl0_49 ),
inference(resolution,[],[f402,f5568]) ).
fof(f6135,plain,
( ! [X0] :
( ~ product(e_1,X0,e_5)
| equalish(X0,e_6) )
| ~ spl0_49 ),
inference(resolution,[],[f402,f60]) ).
fof(f6137,plain,
( ! [X0] :
( ~ product(e_6,X0,e_1)
| product(e_5,e_6,X0) )
| ~ spl0_49 ),
inference(resolution,[],[f402,f63]) ).
fof(f6138,plain,
( $false
| ~ spl0_6
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f6132,f29]) ).
fof(f6139,plain,
( ~ spl0_6
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f6138]) ).
fof(f6145,plain,
( equalish(e_6,e_4)
| ~ spl0_2
| ~ spl0_21 ),
inference(resolution,[],[f112,f5615]) ).
fof(f6151,plain,
( $false
| ~ spl0_2
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f6145,f56]) ).
fof(f6152,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f6151]) ).
fof(f6195,plain,
( ! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(X0,e_3) )
| ~ spl0_116 ),
inference(resolution,[],[f836,f61]) ).
fof(f6277,plain,
( product(e_5,e_6,e_4)
| ~ spl0_49
| ~ spl0_130 ),
inference(resolution,[],[f6137,f1006]) ).
fof(f6279,plain,
( equalish(e_3,e_6)
| ~ spl0_49
| ~ spl0_76 ),
inference(resolution,[],[f6135,f600]) ).
fof(f6282,plain,
( $false
| ~ spl0_49
| ~ spl0_76 ),
inference(forward_subsumption_resolution,[],[f6279,f42]) ).
fof(f6283,plain,
( ~ spl0_49
| ~ spl0_76 ),
inference(avatar_contradiction_clause,[],[f6282]) ).
fof(f6285,plain,
( ! [X0] :
( ~ product(X0,e_3,e_5)
| equalish(X0,e_2) )
| ~ spl0_55 ),
inference(resolution,[],[f434,f61]) ).
fof(f6290,plain,
( ! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(X0,e_5) )
| ~ spl0_64 ),
inference(resolution,[],[f496,f61]) ).
fof(f6335,plain,
( equalish(e_6,e_3)
| ~ spl0_116
| ~ spl0_139 ),
inference(resolution,[],[f6195,f1140]) ).
fof(f6336,plain,
( $false
| ~ spl0_116
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f6335,f55]) ).
fof(f6337,plain,
( ~ spl0_116
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f6336]) ).
fof(f6365,plain,
( equalish(e_4,e_2)
| ~ spl0_55
| ~ spl0_65 ),
inference(resolution,[],[f519,f6285]) ).
fof(f6371,plain,
( $false
| ~ spl0_55
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f6365,f44]) ).
fof(f6372,plain,
( ~ spl0_55
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f6371]) ).
fof(f6373,plain,
( spl0_6
| ~ spl0_3
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f2675,f350,f114,f150]) ).
fof(f6376,plain,
( ! [X0] :
( ~ product(e_3,X0,e_5)
| equalish(X0,e_6) )
| ~ spl0_6 ),
inference(resolution,[],[f152,f60]) ).
fof(f6387,plain,
( ! [X0] :
( ~ product(e_4,X0,e_1)
| equalish(X0,e_6) )
| ~ spl0_48 ),
inference(resolution,[],[f389,f60]) ).
fof(f6392,plain,
( ! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(X0,e_6) )
| ~ spl0_52 ),
inference(resolution,[],[f414,f60]) ).
fof(f6393,plain,
( ! [X0] :
( ~ product(e_1,e_6,X0)
| equalish(X0,e_2) )
| ~ spl0_52 ),
inference(resolution,[],[f414,f59]) ).
fof(f6394,plain,
( ! [X0] :
( ~ product(e_6,X0,e_1)
| product(e_2,e_6,X0) )
| ~ spl0_52 ),
inference(resolution,[],[f414,f63]) ).
fof(f6431,plain,
( equalish(e_6,e_5)
| ~ spl0_64
| ~ spl0_128 ),
inference(resolution,[],[f971,f6290]) ).
fof(f6437,plain,
( $false
| ~ spl0_64
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f6431,f57]) ).
fof(f6438,plain,
( ~ spl0_64
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f6437]) ).
fof(f6489,plain,
( product(e_2,e_6,e_2)
| ~ spl0_52
| ~ spl0_147 ),
inference(resolution,[],[f6394,f1318]) ).
fof(f6492,plain,
( $false
| spl0_42
| ~ spl0_52
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f6489,f355]) ).
fof(f6493,plain,
( spl0_42
| ~ spl0_52
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f6492]) ).
fof(f6514,plain,
( equalish(e_4,e_6)
| ~ spl0_6
| ~ spl0_150 ),
inference(resolution,[],[f1493,f6376]) ).
fof(f6520,plain,
( $false
| ~ spl0_6
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f6514,f47]) ).
fof(f6521,plain,
( ~ spl0_6
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f6520]) ).
fof(f6543,plain,
( equalish(e_4,e_6)
| ~ spl0_52
| ~ spl0_158 ),
inference(resolution,[],[f6392,f1641]) ).
fof(f6545,plain,
( $false
| ~ spl0_52
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[],[f6543,f47]) ).
fof(f6546,plain,
( ~ spl0_52
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[],[f6545]) ).
fof(f6552,plain,
( equalish(e_2,e_6)
| ~ spl0_48
| ~ spl0_91 ),
inference(resolution,[],[f6387,f681]) ).
fof(f6554,plain,
( $false
| ~ spl0_48
| ~ spl0_91 ),
inference(forward_subsumption_resolution,[],[f6552,f37]) ).
fof(f6555,plain,
( ~ spl0_48
| ~ spl0_91 ),
inference(avatar_contradiction_clause,[],[f6554]) ).
fof(f6627,plain,
( ! [X0] :
( ~ product(X0,e_2,e_4)
| equalish(X0,e_3) )
| ~ spl0_93 ),
inference(resolution,[],[f697,f61]) ).
fof(f6675,plain,
( equalish(e_6,e_3)
| ~ spl0_93
| ~ spl0_145 ),
inference(resolution,[],[f6627,f1257]) ).
fof(f6676,plain,
( $false
| ~ spl0_93
| ~ spl0_145 ),
inference(forward_subsumption_resolution,[],[f6675,f55]) ).
fof(f6677,plain,
( ~ spl0_93
| ~ spl0_145 ),
inference(avatar_contradiction_clause,[],[f6676]) ).
fof(f6686,plain,
( ! [X0] :
( ~ product(X0,e_6,e_4)
| equalish(X0,e_3) )
| ~ spl0_7 ),
inference(resolution,[],[f156,f61]) ).
fof(f6687,plain,
( ! [X0] :
( ~ product(e_3,X0,e_4)
| equalish(X0,e_6) )
| ~ spl0_7 ),
inference(resolution,[],[f156,f60]) ).
fof(f6689,plain,
( ! [X0] :
( ~ product(e_6,X0,e_3)
| product(e_4,e_6,X0) )
| ~ spl0_7 ),
inference(resolution,[],[f156,f63]) ).
fof(f6691,plain,
( ! [X0] :
( ~ product(X0,e_6,e_1)
| equalish(X0,e_5) )
| ~ spl0_16 ),
inference(resolution,[],[f192,f61]) ).
fof(f6694,plain,
( ! [X0] :
( ~ product(e_6,X0,e_5)
| product(e_1,e_6,X0) )
| ~ spl0_16 ),
inference(resolution,[],[f192,f63]) ).
fof(f6702,plain,
( ! [X0] :
( ~ product(e_4,X0,e_5)
| equalish(X0,e_6) )
| ~ spl0_44 ),
inference(resolution,[],[f373,f60]) ).
fof(f6704,plain,
( ! [X0] :
( ~ product(e_6,X0,e_4)
| product(e_5,e_6,X0) )
| ~ spl0_44 ),
inference(resolution,[],[f373,f63]) ).
fof(f6768,plain,
( product(e_1,e_6,e_2)
| ~ spl0_16
| ~ spl0_137 ),
inference(resolution,[],[f6694,f1080]) ).
fof(f6769,plain,
( product(e_1,e_6,e_3)
| ~ spl0_16
| ~ spl0_124 ),
inference(resolution,[],[f6694,f955]) ).
fof(f6824,plain,
( equalish(e_2,e_3)
| ~ spl0_7
| ~ spl0_40 ),
inference(resolution,[],[f6686,f348]) ).
fof(f6827,plain,
( $false
| ~ spl0_7
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f6824,f34]) ).
fof(f6828,plain,
( ~ spl0_7
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f6827]) ).
fof(f6829,plain,
( product(e_2,e_6,e_3)
| product(e_2,e_6,e_4)
| product(e_2,e_6,e_1)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| spl0_39
| spl0_42 ),
inference(forward_subsumption_resolution,[],[f5224,f355]) ).
fof(f6830,plain,
( product(e_2,e_6,e_4)
| product(e_2,e_6,e_1)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| spl0_39
| spl0_41
| spl0_42 ),
inference(forward_subsumption_resolution,[],[f6829,f351]) ).
fof(f6831,plain,
( product(e_2,e_6,e_1)
| ~ group_element(e_2)
| equalish(e_2,e_6)
| spl0_39
| spl0_40
| spl0_41
| spl0_42 ),
inference(forward_subsumption_resolution,[],[f6830,f347]) ).
fof(f6832,plain,
( ~ group_element(e_2)
| equalish(e_2,e_6)
| spl0_39
| spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f6831,f359]) ).
fof(f6833,plain,
( equalish(e_2,e_6)
| spl0_39
| spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f6832,f23]) ).
fof(f6834,plain,
( $false
| spl0_39
| spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f6833,f37]) ).
fof(f6835,plain,
( spl0_39
| spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(avatar_contradiction_clause,[],[f6834]) ).
fof(f6836,plain,
( equalish(e_2,e_5)
| ~ spl0_16
| ~ spl0_43 ),
inference(resolution,[],[f360,f6691]) ).
fof(f6842,plain,
( $false
| ~ spl0_16
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[],[f6836,f36]) ).
fof(f6843,plain,
( ~ spl0_16
| ~ spl0_43 ),
inference(avatar_contradiction_clause,[],[f6842]) ).
fof(f6859,plain,
( equalish(e_5,e_6)
| ~ spl0_37
| ~ spl0_52 ),
inference(resolution,[],[f327,f6392]) ).
fof(f6865,plain,
( $false
| ~ spl0_37
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f6859,f52]) ).
fof(f6866,plain,
( ~ spl0_37
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f6865]) ).
fof(f6872,plain,
( equalish(e_5,e_2)
| ~ spl0_49
| ~ spl0_52 ),
inference(resolution,[],[f402,f6393]) ).
fof(f6878,plain,
( $false
| ~ spl0_49
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[],[f6872,f49]) ).
fof(f6879,plain,
( ~ spl0_49
| ~ spl0_52 ),
inference(avatar_contradiction_clause,[],[f6878]) ).
fof(f6884,plain,
( ! [X0] :
( ~ product(e_6,X0,e_5)
| product(e_1,e_6,X0) )
| ~ spl0_16 ),
inference(resolution,[],[f192,f63]) ).
fof(f6885,plain,
( product(e_4,e_6,e_5)
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f112,f6689]) ).
fof(f6890,plain,
( ! [X0] :
( ~ product(e_5,X0,e_6)
| product(e_3,e_5,X0) )
| ~ spl0_2 ),
inference(resolution,[],[f112,f63]) ).
fof(f6947,plain,
( product(e_4,e_6,e_2)
| ~ spl0_7
| ~ spl0_123 ),
inference(resolution,[],[f900,f6689]) ).
fof(f6953,plain,
( $false
| ~ spl0_7
| spl0_47
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f6947,f384]) ).
fof(f6954,plain,
( ~ spl0_7
| spl0_47
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f6953]) ).
fof(f6960,plain,
( product(e_4,e_6,e_1)
| ~ spl0_7
| ~ spl0_161 ),
inference(resolution,[],[f1691,f6689]) ).
fof(f6978,plain,
( ! [X0] :
( product(e_3,e_5,X0)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_5)
| ~ group_element(e_5) )
| ~ spl0_2 ),
inference(resolution,[],[f6890,f58]) ).
fof(f6979,plain,
( ! [X0] :
( product(e_5,X0,e_5)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_3,e_5,X0) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f6978,f26]) ).
fof(f6983,plain,
( product(e_1,e_6,e_4)
| ~ spl0_16
| ~ spl0_148 ),
inference(resolution,[],[f6884,f1367]) ).
fof(f7009,plain,
( equalish(e_2,e_6)
| ~ spl0_7
| ~ spl0_93 ),
inference(resolution,[],[f6687,f697]) ).
fof(f7010,plain,
( $false
| ~ spl0_7
| ~ spl0_93 ),
inference(forward_subsumption_resolution,[],[f7009,f37]) ).
fof(f7011,plain,
( ~ spl0_7
| ~ spl0_93 ),
inference(avatar_contradiction_clause,[],[f7010]) ).
fof(f7016,plain,
( ! [X0] :
( ~ product(e_5,X0,e_3)
| product(e_1,e_5,X0) )
| ~ spl0_28 ),
inference(resolution,[],[f275,f63]) ).
fof(f7042,plain,
( product(e_5,e_6,e_3)
| ~ spl0_44
| ~ spl0_125 ),
inference(resolution,[],[f6704,f959]) ).
fof(f7044,plain,
( $false
| spl0_14
| ~ spl0_44
| ~ spl0_125 ),
inference(forward_subsumption_resolution,[],[f7042,f183]) ).
fof(f7045,plain,
( spl0_14
| ~ spl0_44
| ~ spl0_125 ),
inference(avatar_contradiction_clause,[],[f7044]) ).
fof(f7058,plain,
( ! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(X0,e_6) )
| ~ spl0_128 ),
inference(resolution,[],[f971,f61]) ).
fof(f7077,plain,
( ~ group_element(e_2)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_3,e_5,e_2)
| ~ spl0_2
| spl0_82 ),
inference(resolution,[],[f6979,f636]) ).
fof(f7114,plain,
( product(e_1,e_5,e_2)
| ~ spl0_28
| ~ spl0_84 ),
inference(resolution,[],[f7016,f645]) ).
fof(f7115,plain,
( product(e_1,e_5,e_4)
| ~ spl0_28
| ~ spl0_73 ),
inference(resolution,[],[f7016,f559]) ).
fof(f7116,plain,
( $false
| ~ spl0_28
| spl0_37
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f7114,f326]) ).
fof(f7117,plain,
( ~ spl0_28
| spl0_37
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f7116]) ).
fof(f7125,plain,
( equalish(e_2,e_6)
| ~ spl0_59
| ~ spl0_128 ),
inference(resolution,[],[f450,f7058]) ).
fof(f7131,plain,
( $false
| ~ spl0_59
| ~ spl0_128 ),
inference(forward_subsumption_resolution,[],[f7125,f37]) ).
fof(f7132,plain,
( ~ spl0_59
| ~ spl0_128 ),
inference(avatar_contradiction_clause,[],[f7131]) ).
fof(f7148,plain,
( equalish(e_3,e_6)
| ~ spl0_44
| ~ spl0_65 ),
inference(resolution,[],[f519,f6702]) ).
fof(f7154,plain,
( $false
| ~ spl0_44
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f7148,f42]) ).
fof(f7155,plain,
( ~ spl0_44
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f7154]) ).
fof(f7157,plain,
( product(e_6,e_2,e_4)
| ~ group_element(e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| ~ spl0_11
| spl0_135
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f2437,f1317]) ).
fof(f7169,plain,
( product(e_5,e_6,e_3)
| product(e_5,e_6,e_4)
| product(e_5,e_6,e_1)
| ~ group_element(e_5)
| equalish(e_5,e_6)
| equalish(e_6,e_5)
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f3331,f187]) ).
fof(f7173,plain,
( product(e_5,e_6,e_4)
| product(e_5,e_6,e_1)
| ~ group_element(e_5)
| equalish(e_5,e_6)
| equalish(e_6,e_5)
| spl0_14
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f7169,f183]) ).
fof(f7177,plain,
( product(e_5,e_6,e_1)
| ~ group_element(e_5)
| equalish(e_5,e_6)
| equalish(e_6,e_5)
| spl0_13
| spl0_14
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f7173,f179]) ).
fof(f7181,plain,
( ~ group_element(e_5)
| equalish(e_5,e_6)
| equalish(e_6,e_5)
| spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f7177,f191]) ).
fof(f7185,plain,
( equalish(e_5,e_6)
| equalish(e_6,e_5)
| spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f7181,f26]) ).
fof(f7190,plain,
( equalish(e_6,e_5)
| spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f7185,f52]) ).
fof(f7191,plain,
( $false
| spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(forward_subsumption_resolution,[],[f7190,f57]) ).
fof(f7192,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(avatar_contradiction_clause,[],[f7191]) ).
fof(f7193,plain,
( spl0_39
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f4194,f162,f110,f342]) ).
fof(f7194,plain,
( spl0_52
| ~ spl0_16
| ~ spl0_137 ),
inference(avatar_split_clause,[],[f6768,f1078,f190,f412]) ).
fof(f7199,plain,
( ~ group_element(e_2)
| product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| ~ spl0_11
| spl0_135
| spl0_145
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f7157,f1256]) ).
fof(f7201,plain,
( product(e_6,e_2,e_3)
| product(e_6,e_2,e_2)
| ~ spl0_11
| spl0_135
| spl0_145
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f7199,f23]) ).
fof(f7203,plain,
( product(e_6,e_2,e_2)
| ~ spl0_11
| spl0_123
| spl0_135
| spl0_145
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f7201,f899]) ).
fof(f7205,plain,
( $false
| ~ spl0_11
| spl0_123
| spl0_135
| spl0_145
| spl0_146
| spl0_147 ),
inference(forward_subsumption_resolution,[],[f7203,f1313]) ).
fof(f7206,plain,
( ~ spl0_11
| spl0_123
| spl0_135
| spl0_145
| spl0_146
| spl0_147 ),
inference(avatar_contradiction_clause,[],[f7205]) ).
fof(f7209,plain,
( spl0_48
| ~ spl0_40
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f2058,f1138,f346,f387]) ).
fof(f7227,plain,
( ! [X0] :
( ~ product(X0,e_6,e_1)
| equalish(X0,e_5) )
| ~ spl0_16 ),
inference(resolution,[],[f192,f61]) ).
fof(f7339,plain,
( equalish(e_4,e_5)
| ~ spl0_16
| ~ spl0_48 ),
inference(resolution,[],[f7227,f389]) ).
fof(f7342,plain,
( $false
| ~ spl0_16
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f7339,f46]) ).
fof(f7343,plain,
( ~ spl0_16
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f7342]) ).
fof(f7344,plain,
( spl0_44
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f6885,f154,f110,f371]) ).
fof(f7345,plain,
( spl0_43
| ~ spl0_15
| ~ spl0_163 ),
inference(avatar_split_clause,[],[f2207,f2126,f186,f358]) ).
fof(f7353,plain,
( ! [X0] :
( ~ product(e_3,X0,e_4)
| equalish(X0,e_6) )
| ~ spl0_7 ),
inference(resolution,[],[f156,f60]) ).
fof(f7362,plain,
( ! [X0] :
( ~ product(X0,e_6,e_5)
| equalish(X0,e_4) )
| ~ spl0_44 ),
inference(resolution,[],[f373,f61]) ).
fof(f7368,plain,
( ! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(X0,e_6) )
| ~ spl0_43 ),
inference(resolution,[],[f360,f60]) ).
fof(f7375,plain,
( ! [X0] :
( ~ product(e_5,X0,e_3)
| product(e_2,e_5,X0) )
| ~ spl0_27 ),
inference(resolution,[],[f271,f63]) ).
fof(f7382,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_2)
| ~ spl0_89 ),
inference(resolution,[],[f673,f75]) ).
fof(f7387,plain,
( product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_2)
| ~ spl0_89
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f7382,f1508]) ).
fof(f7388,plain,
( product(e_3,e_4,e_3)
| product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_2)
| ~ spl0_89
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f7387,f1504]) ).
fof(f7389,plain,
( product(e_3,e_4,e_4)
| product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_2)
| ~ spl0_89
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f7388,f1500]) ).
fof(f7390,plain,
( product(e_3,e_4,e_5)
| ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_2)
| ~ spl0_89
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f7389,f1496]) ).
fof(f7391,plain,
( ~ group_element(e_3)
| ~ group_element(e_4)
| product(e_6,e_4,e_2)
| ~ spl0_89
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f7390,f1492]) ).
fof(f7392,plain,
( ~ group_element(e_4)
| product(e_6,e_4,e_2)
| ~ spl0_89
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f7391,f24]) ).
fof(f7393,plain,
( product(e_6,e_4,e_2)
| ~ spl0_89
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f7392,f25]) ).
fof(f7394,plain,
( $false
| ~ spl0_89
| spl0_129
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(forward_subsumption_resolution,[],[f7393,f1001]) ).
fof(f7395,plain,
( ~ spl0_89
| spl0_129
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(avatar_contradiction_clause,[],[f7394]) ).
fof(f7417,plain,
( ! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(X0,e_6) )
| ~ spl0_127 ),
inference(resolution,[],[f967,f61]) ).
fof(f7466,plain,
( equalish(e_1,e_6)
| ~ spl0_7
| ~ spl0_114 ),
inference(resolution,[],[f7353,f828]) ).
fof(f7468,plain,
( $false
| ~ spl0_7
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f7466,f32]) ).
fof(f7469,plain,
( ~ spl0_7
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f7468]) ).
fof(f7496,plain,
( equalish(e_3,e_6)
| ~ spl0_43
| ~ spl0_59 ),
inference(resolution,[],[f7368,f450]) ).
fof(f7498,plain,
( $false
| ~ spl0_43
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f7496,f42]) ).
fof(f7499,plain,
( ~ spl0_43
| ~ spl0_59 ),
inference(avatar_contradiction_clause,[],[f7498]) ).
fof(f7539,plain,
( equalish(e_4,e_6)
| ~ spl0_68
| ~ spl0_127 ),
inference(resolution,[],[f7417,f531]) ).
fof(f7541,plain,
( $false
| ~ spl0_68
| ~ spl0_127 ),
inference(forward_subsumption_resolution,[],[f7539,f47]) ).
fof(f7542,plain,
( ~ spl0_68
| ~ spl0_127 ),
inference(avatar_contradiction_clause,[],[f7541]) ).
fof(f7639,plain,
( product(e_2,e_5,e_1)
| ~ spl0_27
| ~ spl0_105 ),
inference(resolution,[],[f7375,f776]) ).
fof(f7640,plain,
( product(e_2,e_5,e_2)
| ~ spl0_27
| ~ spl0_84 ),
inference(resolution,[],[f7375,f645]) ).
fof(f7641,plain,
( product(e_2,e_5,e_4)
| ~ spl0_27
| ~ spl0_73 ),
inference(resolution,[],[f7375,f559]) ).
fof(f7642,plain,
( $false
| ~ spl0_27
| spl0_32
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[],[f7640,f298]) ).
fof(f7643,plain,
( ~ spl0_27
| spl0_32
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f7642]) ).
fof(f7646,plain,
( $false
| ~ spl0_28
| spl0_35
| ~ spl0_73 ),
inference(forward_subsumption_resolution,[],[f7115,f318]) ).
fof(f7647,plain,
( ~ spl0_28
| spl0_35
| ~ spl0_73 ),
inference(avatar_contradiction_clause,[],[f7646]) ).
fof(f7669,plain,
( $false
| spl0_13
| ~ spl0_49
| ~ spl0_130 ),
inference(forward_subsumption_resolution,[],[f6277,f179]) ).
fof(f7670,plain,
( spl0_13
| ~ spl0_49
| ~ spl0_130 ),
inference(avatar_contradiction_clause,[],[f7669]) ).
fof(f7681,plain,
( equalish(e_1,e_4)
| ~ spl0_44
| ~ spl0_49 ),
inference(resolution,[],[f402,f7362]) ).
fof(f7687,plain,
( $false
| ~ spl0_44
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f7681,f30]) ).
fof(f7688,plain,
( ~ spl0_44
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f7687]) ).
fof(f7689,plain,
( spl0_147
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f5916,f850,f651,f647,f643,f639,f635,f1316]) ).
fof(f7690,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_3,e_5,e_2)
| ~ spl0_2
| spl0_82 ),
inference(forward_subsumption_resolution,[],[f7077,f23]) ).
fof(f7691,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_3,e_5,e_2)
| ~ spl0_2
| spl0_82
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f7690,f652]) ).
fof(f7692,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_3,e_5,e_2)
| ~ spl0_2
| spl0_82
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f7691,f648]) ).
fof(f7693,plain,
( product(e_5,e_2,e_4)
| product(e_3,e_5,e_2)
| ~ spl0_2
| spl0_82
| spl0_84
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f7692,f644]) ).
fof(f7694,plain,
( product(e_3,e_5,e_2)
| ~ spl0_2
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f7693,f640]) ).
fof(f7695,plain,
( $false
| ~ spl0_2
| spl0_27
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f7694,f270]) ).
fof(f7696,plain,
( ~ spl0_2
| spl0_27
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(avatar_contradiction_clause,[],[f7695]) ).
fof(f7704,plain,
( ! [X0] :
( ~ product(e_2,X0,e_4)
| equalish(X0,e_6) )
| ~ spl0_40 ),
inference(resolution,[],[f348,f60]) ).
fof(f7728,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_2)
| ~ spl0_92 ),
inference(resolution,[],[f693,f75]) ).
fof(f7729,plain,
( ! [X0] :
( ~ product(X0,e_2,e_5)
| equalish(X0,e_3) )
| ~ spl0_92 ),
inference(resolution,[],[f693,f61]) ).
fof(f7836,plain,
( equalish(e_5,e_6)
| ~ spl0_30
| ~ spl0_40 ),
inference(resolution,[],[f7704,f291]) ).
fof(f7838,plain,
( $false
| ~ spl0_30
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f7836,f52]) ).
fof(f7839,plain,
( ~ spl0_30
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f7838]) ).
fof(f7840,plain,
( spl0_50
| ~ spl0_16
| ~ spl0_148 ),
inference(avatar_split_clause,[],[f6983,f1365,f190,f404]) ).
fof(f7848,plain,
( ! [X0] :
( ~ product(e_5,X0,e_1)
| equalish(X0,e_6) )
| ~ spl0_16 ),
inference(resolution,[],[f192,f60]) ).
fof(f7909,plain,
( equalish(e_2,e_6)
| ~ spl0_16
| ~ spl0_86 ),
inference(resolution,[],[f7848,f653]) ).
fof(f7910,plain,
( equalish(e_4,e_6)
| ~ spl0_16
| ~ spl0_75 ),
inference(resolution,[],[f7848,f567]) ).
fof(f7912,plain,
( $false
| ~ spl0_16
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f7910,f47]) ).
fof(f7913,plain,
( ~ spl0_16
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f7912]) ).
fof(f7914,plain,
( $false
| ~ spl0_16
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f7909,f37]) ).
fof(f7915,plain,
( ~ spl0_16
| ~ spl0_86 ),
inference(avatar_contradiction_clause,[],[f7914]) ).
fof(f7916,plain,
( spl0_49
| ~ spl0_1
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1867,f387,f106,f400]) ).
fof(f7917,plain,
( spl0_48
| ~ spl0_7
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f6960,f1689,f154,f387]) ).
fof(f7918,plain,
( spl0_41
| ~ spl0_15
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f1124,f953,f186,f350]) ).
fof(f7919,plain,
( spl0_31
| ~ spl0_22
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f5064,f482,f241,f293]) ).
fof(f7926,plain,
( ! [X0] :
( ~ product(X0,e_6,e_4)
| equalish(X0,e_3) )
| ~ spl0_7 ),
inference(resolution,[],[f156,f61]) ).
fof(f7947,plain,
( ! [X0] :
( ~ product(e_2,X0,e_3)
| equalish(X0,e_6) )
| ~ spl0_41 ),
inference(resolution,[],[f352,f60]) ).
fof(f7952,plain,
( ! [X0] :
( ~ product(e_1,X0,e_5)
| equalish(X0,e_6) )
| ~ spl0_49 ),
inference(resolution,[],[f402,f60]) ).
fof(f7959,plain,
( ! [X0] :
( ~ product(e_5,X0,e_4)
| product(e_2,e_5,X0) )
| ~ spl0_22 ),
inference(resolution,[],[f243,f63]) ).
fof(f7992,plain,
( ! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(X0,e_6) )
| ~ spl0_147 ),
inference(resolution,[],[f1318,f61]) ).
fof(f8041,plain,
( equalish(e_4,e_6)
| ~ spl0_49
| ~ spl0_155 ),
inference(resolution,[],[f7952,f1629]) ).
fof(f8043,plain,
( $false
| ~ spl0_49
| ~ spl0_155 ),
inference(forward_subsumption_resolution,[],[f8041,f47]) ).
fof(f8044,plain,
( ~ spl0_49
| ~ spl0_155 ),
inference(avatar_contradiction_clause,[],[f8043]) ).
fof(f8065,plain,
( equalish(e_5,e_6)
| ~ spl0_31
| ~ spl0_41 ),
inference(resolution,[],[f7947,f295]) ).
fof(f8067,plain,
( $false
| ~ spl0_31
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f8065,f52]) ).
fof(f8068,plain,
( ~ spl0_31
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f8067]) ).
fof(f8134,plain,
( equalish(e_4,e_3)
| ~ spl0_87
| ~ spl0_92 ),
inference(resolution,[],[f7729,f665]) ).
fof(f8137,plain,
( $false
| ~ spl0_87
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f8134,f45]) ).
fof(f8138,plain,
( ~ spl0_87
| ~ spl0_92 ),
inference(avatar_contradiction_clause,[],[f8137]) ).
fof(f8152,plain,
( product(e_2,e_5,e_2)
| ~ spl0_22
| ~ spl0_83 ),
inference(resolution,[],[f7959,f641]) ).
fof(f8153,plain,
( $false
| ~ spl0_22
| spl0_32
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[],[f8152,f298]) ).
fof(f8154,plain,
( ~ spl0_22
| spl0_32
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f8153]) ).
fof(f8156,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_2)
| spl0_64
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f7728,f495]) ).
fof(f8157,plain,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_2)
| spl0_63
| spl0_64
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f8156,f491]) ).
fof(f8158,plain,
( product(e_5,e_3,e_4)
| product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_2)
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f8157,f487]) ).
fof(f8159,plain,
( product(e_5,e_3,e_5)
| ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_2)
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f8158,f483]) ).
fof(f8160,plain,
( ~ group_element(e_5)
| ~ group_element(e_3)
| product(e_6,e_3,e_2)
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f8159,f479]) ).
fof(f8161,plain,
( ~ group_element(e_3)
| product(e_6,e_3,e_2)
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f8160,f26]) ).
fof(f8162,plain,
( product(e_6,e_3,e_2)
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f8161,f24]) ).
fof(f8163,plain,
( $false
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_92
| spl0_127 ),
inference(forward_subsumption_resolution,[],[f8162,f966]) ).
fof(f8164,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_92
| spl0_127 ),
inference(avatar_contradiction_clause,[],[f8163]) ).
fof(f8180,plain,
( equalish(e_3,e_6)
| ~ spl0_96
| ~ spl0_147 ),
inference(resolution,[],[f709,f7992]) ).
fof(f8186,plain,
( $false
| ~ spl0_96
| ~ spl0_147 ),
inference(forward_subsumption_resolution,[],[f8180,f42]) ).
fof(f8187,plain,
( ~ spl0_96
| ~ spl0_147 ),
inference(avatar_contradiction_clause,[],[f8186]) ).
fof(f8208,plain,
( equalish(e_1,e_3)
| ~ spl0_7
| ~ spl0_50 ),
inference(resolution,[],[f406,f7926]) ).
fof(f8214,plain,
( $false
| ~ spl0_7
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f8208,f29]) ).
fof(f8215,plain,
( ~ spl0_7
| ~ spl0_50 ),
inference(avatar_contradiction_clause,[],[f8214]) ).
fof(f8230,plain,
( ! [X0] :
( ~ product(e_5,X0,e_4)
| product(e_1,e_5,X0) )
| ~ spl0_23 ),
inference(resolution,[],[f247,f63]) ).
fof(f8238,plain,
( ! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(X0,e_4) )
| ~ spl0_89 ),
inference(resolution,[],[f673,f61]) ).
fof(f8299,plain,
( ! [X0] :
( ~ product(X0,e_4,e_2)
| equalish(X0,e_1) )
| ~ spl0_158 ),
inference(resolution,[],[f1641,f61]) ).
fof(f8374,plain,
( equalish(e_6,e_4)
| ~ spl0_89
| ~ spl0_123 ),
inference(resolution,[],[f8238,f900]) ).
fof(f8375,plain,
( $false
| ~ spl0_89
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f8374,f56]) ).
fof(f8376,plain,
( ~ spl0_89
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f8375]) ).
fof(f8387,plain,
( equalish(e_5,e_1)
| ~ spl0_74
| ~ spl0_158 ),
inference(resolution,[],[f8299,f563]) ).
fof(f8388,plain,
( $false
| ~ spl0_74
| ~ spl0_158 ),
inference(forward_subsumption_resolution,[],[f8387,f48]) ).
fof(f8389,plain,
( ~ spl0_74
| ~ spl0_158 ),
inference(avatar_contradiction_clause,[],[f8388]) ).
fof(f8410,plain,
( product(e_1,e_5,e_1)
| ~ spl0_23
| ~ spl0_104 ),
inference(resolution,[],[f8230,f772]) ).
fof(f8412,plain,
( product(e_1,e_5,e_3)
| ~ spl0_23
| ~ spl0_61 ),
inference(resolution,[],[f8230,f484]) ).
fof(f8413,plain,
( $false
| ~ spl0_23
| spl0_36
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[],[f8412,f322]) ).
fof(f8414,plain,
( ~ spl0_23
| spl0_36
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f8413]) ).
fof(f8415,plain,
( $false
| ~ spl0_23
| spl0_38
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[],[f8410,f330]) ).
fof(f8416,plain,
( ~ spl0_23
| spl0_38
| ~ spl0_104 ),
inference(avatar_contradiction_clause,[],[f8415]) ).
fof(f8417,plain,
( spl0_128
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f4156,f822,f494,f490,f486,f482,f478,f969]) ).
fof(f8427,plain,
( ! [X0] :
( ~ product(e_5,X0,e_6)
| product(e_2,e_5,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f116,f63]) ).
fof(f8460,plain,
( ! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(X0,e_1) )
| ~ spl0_99 ),
inference(resolution,[],[f739,f61]) ).
fof(f8491,plain,
( ! [X0] :
( product(e_2,e_5,X0)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_5)
| ~ group_element(e_5) )
| ~ spl0_3 ),
inference(resolution,[],[f8427,f58]) ).
fof(f8492,plain,
( ! [X0] :
( product(e_5,X0,e_5)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_2,e_5,X0) )
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f8491,f26]) ).
fof(f8528,plain,
( ~ group_element(e_3)
| product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_2,e_5,e_3)
| ~ spl0_3
| spl0_60 ),
inference(resolution,[],[f8492,f479]) ).
fof(f8552,plain,
( equalish(e_6,e_1)
| ~ spl0_99
| ~ spl0_123 ),
inference(resolution,[],[f8460,f900]) ).
fof(f8553,plain,
( $false
| ~ spl0_99
| ~ spl0_123 ),
inference(forward_subsumption_resolution,[],[f8552,f53]) ).
fof(f8554,plain,
( ~ spl0_99
| ~ spl0_123 ),
inference(avatar_contradiction_clause,[],[f8553]) ).
fof(f8555,plain,
( product(e_5,e_3,e_1)
| product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_2,e_5,e_3)
| ~ spl0_3
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f8528,f24]) ).
fof(f8557,plain,
( product(e_5,e_3,e_2)
| product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_2,e_5,e_3)
| ~ spl0_3
| spl0_60
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f8555,f495]) ).
fof(f8559,plain,
( product(e_5,e_3,e_3)
| product(e_5,e_3,e_4)
| product(e_2,e_5,e_3)
| ~ spl0_3
| spl0_60
| spl0_63
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f8557,f491]) ).
fof(f8561,plain,
( product(e_5,e_3,e_4)
| product(e_2,e_5,e_3)
| ~ spl0_3
| spl0_60
| spl0_62
| spl0_63
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f8559,f487]) ).
fof(f8563,plain,
( product(e_2,e_5,e_3)
| ~ spl0_3
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f8561,f483]) ).
fof(f8565,plain,
( $false
| ~ spl0_3
| spl0_31
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(forward_subsumption_resolution,[],[f8563,f294]) ).
fof(f8566,plain,
( ~ spl0_3
| spl0_31
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(avatar_contradiction_clause,[],[f8565]) ).
fof(f8570,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f5757,f1689,f150,f190]) ).
fof(f8595,plain,
( ! [X0] :
( ~ product(e_5,X0,e_2)
| product(e_1,e_5,X0) )
| ~ spl0_33 ),
inference(resolution,[],[f303,f63]) ).
fof(f8608,plain,
( ! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(X0,e_2) )
| ~ spl0_140 ),
inference(resolution,[],[f1226,f61]) ).
fof(f8618,plain,
( ! [X0] :
( ~ product(X0,e_1,e_4)
| equalish(X0,e_3) )
| ~ spl0_114 ),
inference(resolution,[],[f828,f61]) ).
fof(f8715,plain,
( equalish(e_6,e_2)
| product(e_6,e_4,e_1)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| ~ group_element(e_4)
| equalish(e_4,e_6)
| ~ spl0_140 ),
inference(resolution,[],[f8608,f83]) ).
fof(f8716,plain,
( product(e_6,e_4,e_1)
| product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| ~ group_element(e_4)
| equalish(e_4,e_6)
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f8715,f54]) ).
fof(f8719,plain,
( product(e_6,e_4,e_2)
| product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| ~ group_element(e_4)
| equalish(e_4,e_6)
| spl0_130
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f8716,f1005]) ).
fof(f8720,plain,
( product(e_6,e_4,e_3)
| product(e_6,e_4,e_4)
| ~ group_element(e_4)
| equalish(e_4,e_6)
| spl0_129
| spl0_130
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f8719,f1001]) ).
fof(f8721,plain,
( product(e_6,e_4,e_4)
| ~ group_element(e_4)
| equalish(e_4,e_6)
| spl0_70
| spl0_129
| spl0_130
| ~ spl0_140 ),
inference(forward_subsumption_resolution,[],[f8720,f546]) ).
fof(f8722,plain,
( ~ group_element(e_4)
| equalish(e_4,e_6)
| spl0_70
| spl0_129
| spl0_130
| ~ spl0_140
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f8721,f1370]) ).
fof(f8723,plain,
( equalish(e_4,e_6)
| spl0_70
| spl0_129
| spl0_130
| ~ spl0_140
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f8722,f25]) ).
fof(f8724,plain,
( $false
| spl0_70
| spl0_129
| spl0_130
| ~ spl0_140
| spl0_149 ),
inference(forward_subsumption_resolution,[],[f8723,f47]) ).
fof(f8725,plain,
( spl0_70
| spl0_129
| spl0_130
| ~ spl0_140
| spl0_149 ),
inference(avatar_contradiction_clause,[],[f8724]) ).
fof(f8748,plain,
( product(e_1,e_5,e_1)
| ~ spl0_33
| ~ spl0_106 ),
inference(resolution,[],[f8595,f780]) ).
fof(f8749,plain,
( product(e_1,e_5,e_3)
| ~ spl0_33
| ~ spl0_63 ),
inference(resolution,[],[f8595,f492]) ).
fof(f8750,plain,
( product(e_1,e_5,e_4)
| ~ spl0_33
| ~ spl0_74 ),
inference(resolution,[],[f8595,f563]) ).
fof(f8753,plain,
( $false
| ~ spl0_33
| spl0_38
| ~ spl0_106 ),
inference(forward_subsumption_resolution,[],[f8748,f330]) ).
fof(f8754,plain,
( ~ spl0_33
| spl0_38
| ~ spl0_106 ),
inference(avatar_contradiction_clause,[],[f8753]) ).
fof(f8755,plain,
( spl0_40
| ~ spl0_9
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f4193,f545,f162,f346]) ).
fof(f8778,plain,
( ! [X0] :
( ~ product(e_2,X0,e_4)
| equalish(X0,e_6) )
| ~ spl0_40 ),
inference(resolution,[],[f348,f60]) ).
fof(f8812,plain,
( equalish(e_5,e_3)
| ~ spl0_104
| ~ spl0_114 ),
inference(resolution,[],[f772,f8618]) ).
fof(f8818,plain,
( $false
| ~ spl0_104
| ~ spl0_114 ),
inference(forward_subsumption_resolution,[],[f8812,f50]) ).
fof(f8819,plain,
( ~ spl0_104
| ~ spl0_114 ),
inference(avatar_contradiction_clause,[],[f8818]) ).
fof(f8841,plain,
( ! [X0] :
( ~ product(X0,e_4,e_1)
| equalish(X0,e_3) )
| ~ spl0_154 ),
inference(resolution,[],[f1509,f61]) ).
fof(f8899,plain,
( equalish(e_3,e_6)
| ~ spl0_40
| ~ spl0_56 ),
inference(resolution,[],[f8778,f438]) ).
fof(f8900,plain,
( $false
| ~ spl0_40
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f8899,f42]) ).
fof(f8901,plain,
( ~ spl0_40
| ~ spl0_56 ),
inference(avatar_contradiction_clause,[],[f8900]) ).
fof(f8974,plain,
( equalish(e_5,e_3)
| ~ spl0_75
| ~ spl0_154 ),
inference(resolution,[],[f8841,f567]) ).
fof(f8975,plain,
( $false
| ~ spl0_75
| ~ spl0_154 ),
inference(forward_subsumption_resolution,[],[f8974,f50]) ).
fof(f8976,plain,
( ~ spl0_75
| ~ spl0_154 ),
inference(avatar_contradiction_clause,[],[f8975]) ).
fof(f8977,plain,
( spl0_39
| ~ spl0_4
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f2835,f412,f118,f342]) ).
fof(f8980,plain,
( ! [X0] :
( ~ product(e_3,X0,e_4)
| equalish(X0,e_6) )
| ~ spl0_7 ),
inference(resolution,[],[f156,f60]) ).
fof(f9007,plain,
( ! [X0] :
( ~ product(e_5,X0,e_1)
| product(e_3,e_5,X0) )
| ~ spl0_36 ),
inference(resolution,[],[f323,f63]) ).
fof(f9062,plain,
( ! [X0] :
( ~ product(X0,e_4,e_5)
| equalish(X0,e_6) )
| ~ spl0_148 ),
inference(resolution,[],[f1367,f61]) ).
fof(f9074,plain,
( equalish(e_5,e_6)
| ~ spl0_7
| ~ spl0_25 ),
inference(resolution,[],[f8980,f263]) ).
fof(f9075,plain,
( $false
| ~ spl0_7
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f9074,f52]) ).
fof(f9076,plain,
( ~ spl0_7
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f9075]) ).
fof(f9140,plain,
( equalish(e_3,e_6)
| ~ spl0_148
| ~ spl0_150 ),
inference(resolution,[],[f9062,f1493]) ).
fof(f9144,plain,
( $false
| ~ spl0_148
| ~ spl0_150 ),
inference(forward_subsumption_resolution,[],[f9140,f42]) ).
fof(f9145,plain,
( ~ spl0_148
| ~ spl0_150 ),
inference(avatar_contradiction_clause,[],[f9144]) ).
fof(f9162,plain,
( product(e_3,e_5,e_3)
| ~ spl0_36
| ~ spl0_64 ),
inference(resolution,[],[f9007,f496]) ).
fof(f9163,plain,
( product(e_3,e_5,e_4)
| ~ spl0_36
| ~ spl0_75 ),
inference(resolution,[],[f9007,f567]) ).
fof(f9164,plain,
( $false
| spl0_25
| ~ spl0_36
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[],[f9163,f262]) ).
fof(f9165,plain,
( spl0_25
| ~ spl0_36
| ~ spl0_75 ),
inference(avatar_contradiction_clause,[],[f9164]) ).
fof(f9166,plain,
( $false
| spl0_26
| ~ spl0_36
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f9162,f266]) ).
fof(f9167,plain,
( spl0_26
| ~ spl0_36
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f9166]) ).
fof(f9168,plain,
( spl0_44
| ~ spl0_3
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f2060,f346,f114,f371]) ).
fof(f9169,plain,
( spl0_51
| ~ spl0_16
| ~ spl0_124 ),
inference(avatar_split_clause,[],[f6769,f953,f190,f408]) ).
fof(f9170,plain,
( spl0_36
| ~ spl0_33
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f8749,f490,f301,f321]) ).
fof(f9171,plain,
( spl0_35
| ~ spl0_33
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f8750,f561,f301,f317]) ).
fof(f9186,plain,
( ! [X0] :
( ~ product(e_5,X0,e_6)
| product(e_1,e_5,X0) )
| ~ spl0_4 ),
inference(resolution,[],[f120,f63]) ).
fof(f9189,plain,
( ! [X0] :
( ~ product(e_4,X0,e_5)
| equalish(X0,e_6) )
| ~ spl0_44 ),
inference(resolution,[],[f373,f60]) ).
fof(f9211,plain,
( ! [X0] :
( ~ product(e_5,X0,e_1)
| product(e_2,e_5,X0) )
| ~ spl0_37 ),
inference(resolution,[],[f327,f63]) ).
fof(f9279,plain,
( ! [X0] :
( product(e_1,e_5,X0)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_5)
| ~ group_element(e_5) )
| ~ spl0_4 ),
inference(resolution,[],[f9186,f58]) ).
fof(f9280,plain,
( ! [X0] :
( product(e_5,X0,e_5)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_1,e_5,X0) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f9279,f26]) ).
fof(f9317,plain,
( equalish(e_1,e_6)
| ~ spl0_44
| ~ spl0_108 ),
inference(resolution,[],[f9189,f796]) ).
fof(f9319,plain,
( $false
| ~ spl0_44
| ~ spl0_108 ),
inference(forward_subsumption_resolution,[],[f9317,f32]) ).
fof(f9320,plain,
( ~ spl0_44
| ~ spl0_108 ),
inference(avatar_contradiction_clause,[],[f9319]) ).
fof(f9327,plain,
( ! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(X0,e_4) )
| ~ spl0_111 ),
inference(resolution,[],[f808,f61]) ).
fof(f9345,plain,
( ~ group_element(e_2)
| product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_1,e_5,e_2)
| ~ spl0_4
| spl0_82 ),
inference(resolution,[],[f9280,f636]) ).
fof(f9369,plain,
( equalish(e_6,e_4)
| ~ spl0_111
| ~ spl0_139 ),
inference(resolution,[],[f9327,f1140]) ).
fof(f9370,plain,
( $false
| ~ spl0_111
| ~ spl0_139 ),
inference(forward_subsumption_resolution,[],[f9369,f56]) ).
fof(f9371,plain,
( ~ spl0_111
| ~ spl0_139 ),
inference(avatar_contradiction_clause,[],[f9370]) ).
fof(f9424,plain,
( product(e_2,e_5,e_2)
| ~ spl0_37
| ~ spl0_86 ),
inference(resolution,[],[f9211,f653]) ).
fof(f9425,plain,
( product(e_2,e_5,e_3)
| ~ spl0_37
| ~ spl0_64 ),
inference(resolution,[],[f9211,f496]) ).
fof(f9427,plain,
( $false
| spl0_31
| ~ spl0_37
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[],[f9425,f294]) ).
fof(f9428,plain,
( spl0_31
| ~ spl0_37
| ~ spl0_64 ),
inference(avatar_contradiction_clause,[],[f9427]) ).
fof(f9429,plain,
( $false
| spl0_32
| ~ spl0_37
| ~ spl0_86 ),
inference(forward_subsumption_resolution,[],[f9424,f298]) ).
fof(f9430,plain,
( spl0_32
| ~ spl0_37
| ~ spl0_86 ),
inference(avatar_contradiction_clause,[],[f9429]) ).
fof(f9431,plain,
( spl0_148
| ~ spl0_21
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(avatar_split_clause,[],[f4326,f1507,f1503,f1499,f1495,f1491,f237,f1365]) ).
fof(f9432,plain,
( spl0_33
| ~ spl0_27
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f7639,f774,f269,f301]) ).
fof(f9433,plain,
( spl0_30
| ~ spl0_27
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f7641,f557,f269,f289]) ).
fof(f9434,plain,
( spl0_51
| ~ spl0_48
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f2637,f957,f387,f408]) ).
fof(f9435,plain,
( product(e_5,e_2,e_1)
| product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_1,e_5,e_2)
| ~ spl0_4
| spl0_82 ),
inference(forward_subsumption_resolution,[],[f9345,f23]) ).
fof(f9436,plain,
( product(e_5,e_2,e_2)
| product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_1,e_5,e_2)
| ~ spl0_4
| spl0_82
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f9435,f652]) ).
fof(f9437,plain,
( product(e_5,e_2,e_3)
| product(e_5,e_2,e_4)
| product(e_1,e_5,e_2)
| ~ spl0_4
| spl0_82
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f9436,f648]) ).
fof(f9438,plain,
( product(e_5,e_2,e_4)
| product(e_1,e_5,e_2)
| ~ spl0_4
| spl0_82
| spl0_84
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f9437,f644]) ).
fof(f9439,plain,
( product(e_1,e_5,e_2)
| ~ spl0_4
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f9438,f640]) ).
fof(f9440,plain,
( $false
| ~ spl0_4
| spl0_37
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(forward_subsumption_resolution,[],[f9439,f326]) ).
fof(f9441,plain,
( ~ spl0_4
| spl0_37
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(avatar_contradiction_clause,[],[f9440]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f121]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_5
| spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f169]) ).
cnf(s3,plain,
( spl0_11
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f193]) ).
cnf(s5,plain,
~ spl0_5,
inference(sat_conversion,[],[f206]) ).
cnf(s6,plain,
~ spl0_12,
inference(sat_conversion,[],[f216]) ).
cnf(s7,plain,
( ~ spl0_13
| spl0_18
| spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f248]) ).
cnf(s8,plain,
( ~ spl0_14
| spl0_18
| spl0_24
| spl0_25
| spl0_26
| spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f276]) ).
cnf(s9,plain,
( ~ spl0_15
| spl0_18
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f304]) ).
cnf(s10,plain,
( ~ spl0_16
| spl0_18
| spl0_34
| spl0_35
| spl0_36
| spl0_37
| spl0_38 ),
inference(sat_conversion,[],[f332]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_5
| spl0_39
| spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(sat_conversion,[],[f361]) ).
cnf(s12,plain,
( ~ spl0_1
| spl0_5
| spl0_44
| spl0_45
| spl0_46
| spl0_47
| spl0_48 ),
inference(sat_conversion,[],[f390]) ).
cnf(s14,plain,
( ~ spl0_9
| spl0_54
| spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59 ),
inference(sat_conversion,[],[f451]) ).
cnf(s15,plain,
~ spl0_54,
inference(sat_conversion,[],[f468]) ).
cnf(s16,plain,
( ~ spl0_6
| spl0_54
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(sat_conversion,[],[f497]) ).
cnf(s17,plain,
~ spl0_60,
inference(sat_conversion,[],[f507]) ).
cnf(s18,plain,
( ~ spl0_7
| spl0_54
| spl0_65
| spl0_66
| spl0_67
| spl0_68
| spl0_69 ),
inference(sat_conversion,[],[f536]) ).
cnf(s20,plain,
~ spl0_66,
inference(sat_conversion,[],[f578]) ).
cnf(s21,plain,
~ spl0_8,
inference(sat_conversion,[],[f588]) ).
cnf(s22,plain,
( ~ spl0_10
| spl0_54
| spl0_76
| spl0_77
| spl0_78
| spl0_79
| spl0_80 ),
inference(sat_conversion,[],[f617]) ).
cnf(s23,plain,
( ~ spl0_39
| spl0_81
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(sat_conversion,[],[f654]) ).
cnf(s24,plain,
( ~ spl0_40
| spl0_81
| spl0_87
| spl0_88
| spl0_89
| spl0_90
| spl0_91 ),
inference(sat_conversion,[],[f682]) ).
cnf(s25,plain,
( ~ spl0_41
| spl0_81
| spl0_92
| spl0_93
| spl0_94
| spl0_95
| spl0_96 ),
inference(sat_conversion,[],[f710]) ).
cnf(s26,plain,
~ spl0_42,
inference(sat_conversion,[],[f720]) ).
cnf(s27,plain,
( ~ spl0_43
| spl0_81
| spl0_97
| spl0_98
| spl0_99
| spl0_100
| spl0_101 ),
inference(sat_conversion,[],[f748]) ).
cnf(s28,plain,
( ~ spl0_49
| spl0_102
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(sat_conversion,[],[f785]) ).
cnf(s29,plain,
( ~ spl0_50
| spl0_102
| spl0_108
| spl0_109
| spl0_110
| spl0_111
| spl0_112 ),
inference(sat_conversion,[],[f813]) ).
cnf(s30,plain,
( ~ spl0_51
| spl0_102
| spl0_113
| spl0_114
| spl0_115
| spl0_116
| spl0_117 ),
inference(sat_conversion,[],[f841]) ).
cnf(s31,plain,
( ~ spl0_52
| spl0_102
| spl0_118
| spl0_119
| spl0_120
| spl0_121
| spl0_122 ),
inference(sat_conversion,[],[f869]) ).
cnf(s32,plain,
~ spl0_53,
inference(sat_conversion,[],[f879]) ).
cnf(s33,plain,
( ~ spl0_55
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86
| spl0_123 ),
inference(sat_conversion,[],[f901]) ).
cnf(s34,plain,
( ~ spl0_56
| spl0_87
| spl0_88
| spl0_89
| spl0_90
| spl0_91
| spl0_123 ),
inference(sat_conversion,[],[f909]) ).
cnf(s35,plain,
~ spl0_57,
inference(sat_conversion,[],[f917]) ).
cnf(s37,plain,
~ spl0_58,
inference(sat_conversion,[],[f930]) ).
cnf(s39,plain,
( spl0_54
| spl0_124
| spl0_125
| spl0_126
| spl0_127
| spl0_128 ),
inference(sat_conversion,[],[f972]) ).
cnf(s42,plain,
( ~ spl0_44
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75
| spl0_132 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s43,plain,
~ spl0_45,
inference(sat_conversion,[],[f1033]) ).
cnf(s45,plain,
~ spl0_18,
inference(sat_conversion,[],[f1050]) ).
cnf(s51,plain,
( ~ spl0_15
| spl0_42
| ~ spl0_137 ),
inference(sat_conversion,[],[f1129]) ).
cnf(s52,plain,
( ~ spl0_97
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107
| spl0_139 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s54,plain,
~ spl0_134,
inference(sat_conversion,[],[f1162]) ).
cnf(s56,plain,
~ spl0_126,
inference(sat_conversion,[],[f1184]) ).
cnf(s58,plain,
~ spl0_81,
inference(sat_conversion,[],[f1200]) ).
cnf(s60,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47
| spl0_48
| ~ spl0_125
| spl0_134 ),
inference(sat_conversion,[],[f1215]) ).
cnf(s61,plain,
( ~ spl0_47
| spl0_132
| spl0_140
| spl0_141
| spl0_142
| spl0_143
| spl0_144 ),
inference(sat_conversion,[],[f1243]) ).
cnf(s62,plain,
~ spl0_141,
inference(sat_conversion,[],[f1251]) ).
cnf(s65,plain,
~ spl0_132,
inference(sat_conversion,[],[f1269]) ).
cnf(s67,plain,
( spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86
| ~ spl0_140
| spl0_145 ),
inference(sat_conversion,[],[f1281]) ).
cnf(s68,plain,
( spl0_3
| spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| ~ spl0_83 ),
inference(sat_conversion,[],[f1290]) ).
cnf(s69,plain,
( spl0_81
| spl0_123
| spl0_137
| spl0_145
| spl0_146
| spl0_147 ),
inference(sat_conversion,[],[f1319]) ).
cnf(s71,plain,
~ spl0_146,
inference(sat_conversion,[],[f1340]) ).
cnf(s72,plain,
( ~ spl0_2
| ~ spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f1355]) ).
cnf(s74,plain,
( spl0_70
| spl0_129
| spl0_130
| spl0_132
| spl0_148
| spl0_149 ),
inference(sat_conversion,[],[f1372]) ).
cnf(s75,plain,
( spl0_2
| spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| ~ spl0_61 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s76,plain,
( ~ spl0_15
| spl0_40
| ~ spl0_148 ),
inference(sat_conversion,[],[f1381]) ).
cnf(s77,plain,
~ spl0_90,
inference(sat_conversion,[],[f1394]) ).
cnf(s78,plain,
( ~ spl0_15
| ~ spl0_47 ),
inference(sat_conversion,[],[f1407]) ).
cnf(s79,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47
| spl0_48
| spl0_135
| ~ spl0_145 ),
inference(sat_conversion,[],[f1413]) ).
cnf(s81,plain,
( ~ spl0_6
| ~ spl0_39 ),
inference(sat_conversion,[],[f1450]) ).
cnf(s83,plain,
~ spl0_135,
inference(sat_conversion,[],[f1459]) ).
cnf(s85,plain,
( ~ spl0_15
| ~ spl0_63 ),
inference(sat_conversion,[],[f1481]) ).
cnf(s86,plain,
( ~ spl0_46
| spl0_132
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f1510]) ).
cnf(s87,plain,
( ~ spl0_129
| ~ spl0_153 ),
inference(sat_conversion,[],[f1519]) ).
cnf(s88,plain,
( spl0_55
| spl0_56
| spl0_57
| spl0_58
| spl0_59
| spl0_125
| ~ spl0_153 ),
inference(sat_conversion,[],[f1527]) ).
cnf(s89,plain,
( spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75
| ~ spl0_87
| spl0_129 ),
inference(sat_conversion,[],[f1541]) ).
cnf(s90,plain,
~ spl0_72,
inference(sat_conversion,[],[f1549]) ).
cnf(s94,plain,
( ~ spl0_9
| ~ spl0_15 ),
inference(sat_conversion,[],[f1587]) ).
cnf(s95,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| spl0_125
| ~ spl0_150 ),
inference(sat_conversion,[],[f1609]) ).
cnf(s96,plain,
~ spl0_151,
inference(sat_conversion,[],[f1617]) ).
cnf(s97,plain,
( ~ spl0_48
| spl0_132
| spl0_155
| spl0_156
| spl0_157
| spl0_158
| spl0_159 ),
inference(sat_conversion,[],[f1646]) ).
cnf(s98,plain,
( spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107
| ~ spl0_155
| spl0_160 ),
inference(sat_conversion,[],[f1658]) ).
cnf(s99,plain,
( ~ spl0_7
| spl0_45
| ~ spl0_70 ),
inference(sat_conversion,[],[f1675]) ).
cnf(s100,plain,
( ~ spl0_76
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107
| spl0_161 ),
inference(sat_conversion,[],[f1692]) ).
cnf(s103,plain,
( ~ spl0_10
| spl0_53
| ~ spl0_161 ),
inference(sat_conversion,[],[f1712]) ).
cnf(s105,plain,
( spl0_1
| spl0_34
| spl0_35
| spl0_36
| spl0_37
| spl0_38
| ~ spl0_75 ),
inference(sat_conversion,[],[f1729]) ).
cnf(s106,plain,
~ spl0_136,
inference(sat_conversion,[],[f1742]) ).
cnf(s107,plain,
( ~ spl0_3
| ~ spl0_129 ),
inference(sat_conversion,[],[f1756]) ).
cnf(s108,plain,
( ~ spl0_127
| ~ spl0_129 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s109,plain,
( ~ spl0_129
| ~ spl0_139 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s110,plain,
~ spl0_149,
inference(sat_conversion,[],[f1768]) ).
cnf(s112,plain,
( spl0_4
| spl0_24
| spl0_25
| spl0_26
| spl0_27
| spl0_28
| ~ spl0_105 ),
inference(sat_conversion,[],[f1796]) ).
cnf(s113,plain,
( ~ spl0_75
| ~ spl0_130 ),
inference(sat_conversion,[],[f1811]) ).
cnf(s114,plain,
~ spl0_71,
inference(sat_conversion,[],[f1821]) ).
cnf(s115,plain,
( ~ spl0_4
| ~ spl0_130 ),
inference(sat_conversion,[],[f1834]) ).
cnf(s116,plain,
( ~ spl0_15
| ~ spl0_106 ),
inference(sat_conversion,[],[f1842]) ).
cnf(s117,plain,
( ~ spl0_43
| ~ spl0_48 ),
inference(sat_conversion,[],[f1860]) ).
cnf(s119,plain,
( ~ spl0_48
| spl0_52
| ~ spl0_145 ),
inference(sat_conversion,[],[f1872]) ).
cnf(s120,plain,
( ~ spl0_48
| spl0_53
| ~ spl0_160 ),
inference(sat_conversion,[],[f1874]) ).
cnf(s122,plain,
~ spl0_102,
inference(sat_conversion,[],[f1891]) ).
cnf(s124,plain,
~ spl0_103,
inference(sat_conversion,[],[f1908]) ).
cnf(s126,plain,
( ~ spl0_1
| spl0_12
| ~ spl0_44 ),
inference(sat_conversion,[],[f1942]) ).
cnf(s127,plain,
( spl0_16
| ~ spl0_44
| ~ spl0_160 ),
inference(sat_conversion,[],[f1944]) ).
cnf(s128,plain,
( spl0_1
| spl0_24
| spl0_25
| spl0_26
| spl0_27
| spl0_28
| ~ spl0_73 ),
inference(sat_conversion,[],[f1952]) ).
cnf(s129,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47
| spl0_48
| spl0_136
| ~ spl0_160 ),
inference(sat_conversion,[],[f1957]) ).
cnf(s130,plain,
( spl0_4
| spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| ~ spl0_104 ),
inference(sat_conversion,[],[f1981]) ).
cnf(s131,plain,
~ spl0_152,
inference(sat_conversion,[],[f1996]) ).
cnf(s132,plain,
( ~ spl0_1
| spl0_6
| ~ spl0_46 ),
inference(sat_conversion,[],[f2021]) ).
cnf(s133,plain,
( spl0_10
| ~ spl0_46
| ~ spl0_160 ),
inference(sat_conversion,[],[f2023]) ).
cnf(s134,plain,
( ~ spl0_15
| ~ spl0_74 ),
inference(sat_conversion,[],[f2031]) ).
cnf(s136,plain,
~ spl0_159,
inference(sat_conversion,[],[f2052]) ).
cnf(s138,plain,
( ~ spl0_40
| spl0_46
| ~ spl0_127 ),
inference(sat_conversion,[],[f2064]) ).
cnf(s141,plain,
( ~ spl0_130
| ~ spl0_147 ),
inference(sat_conversion,[],[f2112]) ).
cnf(s143,plain,
( spl0_102
| spl0_139
| spl0_160
| spl0_161
| spl0_162
| spl0_163 ),
inference(sat_conversion,[],[f2131]) ).
cnf(s144,plain,
( spl0_3
| spl0_34
| spl0_35
| spl0_36
| spl0_37
| spl0_38
| ~ spl0_86 ),
inference(sat_conversion,[],[f2150]) ).
cnf(s145,plain,
( spl0_3
| spl0_24
| spl0_25
| spl0_26
| spl0_27
| spl0_28
| ~ spl0_84 ),
inference(sat_conversion,[],[f2159]) ).
cnf(s147,plain,
~ spl0_143,
inference(sat_conversion,[],[f2175]) ).
cnf(s148,plain,
~ spl0_107,
inference(sat_conversion,[],[f2188]) ).
cnf(s149,plain,
~ spl0_162,
inference(sat_conversion,[],[f2206]) ).
cnf(s150,plain,
( ~ spl0_40
| ~ spl0_50 ),
inference(sat_conversion,[],[f2228]) ).
cnf(s151,plain,
( ~ spl0_4
| spl0_12
| ~ spl0_49 ),
inference(sat_conversion,[],[f2244]) ).
cnf(s152,plain,
( spl0_14
| ~ spl0_49
| ~ spl0_128 ),
inference(sat_conversion,[],[f2246]) ).
cnf(s153,plain,
( ~ spl0_15
| ~ spl0_52 ),
inference(sat_conversion,[],[f2254]) ).
cnf(s155,plain,
( spl0_8
| ~ spl0_51
| ~ spl0_128 ),
inference(sat_conversion,[],[f2274]) ).
cnf(s156,plain,
( spl0_9
| ~ spl0_51
| ~ spl0_147 ),
inference(sat_conversion,[],[f2276]) ).
cnf(s157,plain,
( ~ spl0_13
| ~ spl0_40 ),
inference(sat_conversion,[],[f2284]) ).
cnf(s160,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16
| spl0_136
| ~ spl0_163 ),
inference(sat_conversion,[],[f2305]) ).
cnf(s162,plain,
~ spl0_19,
inference(sat_conversion,[],[f2345]) ).
cnf(s163,plain,
~ spl0_95,
inference(sat_conversion,[],[f2358]) ).
cnf(s164,plain,
~ spl0_94,
inference(sat_conversion,[],[f2368]) ).
cnf(s166,plain,
~ spl0_67,
inference(sat_conversion,[],[f2392]) ).
cnf(s168,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f2465]) ).
cnf(s169,plain,
( ~ spl0_10
| ~ spl0_43 ),
inference(sat_conversion,[],[f2473]) ).
cnf(s172,plain,
( ~ spl0_13
| spl0_45
| ~ spl0_148 ),
inference(sat_conversion,[],[f2513]) ).
cnf(s173,plain,
( ~ spl0_13
| spl0_48
| ~ spl0_163 ),
inference(sat_conversion,[],[f2515]) ).
cnf(s174,plain,
( ~ spl0_130
| ~ spl0_144 ),
inference(sat_conversion,[],[f2521]) ).
cnf(s175,plain,
( ~ spl0_22
| spl0_140
| spl0_141
| spl0_142
| spl0_143
| spl0_144
| spl0_148 ),
inference(sat_conversion,[],[f2536]) ).
cnf(s177,plain,
( ~ spl0_128
| ~ spl0_130 ),
inference(sat_conversion,[],[f2553]) ).
cnf(s180,plain,
( ~ spl0_41
| ~ spl0_46 ),
inference(sat_conversion,[],[f2584]) ).
cnf(s181,plain,
( spl0_8
| ~ spl0_46
| ~ spl0_125 ),
inference(sat_conversion,[],[f2612]) ).
cnf(s182,plain,
( spl0_9
| ~ spl0_46
| ~ spl0_145 ),
inference(sat_conversion,[],[f2614]) ).
cnf(s183,plain,
( ~ spl0_13
| spl0_46
| ~ spl0_124 ),
inference(sat_conversion,[],[f2616]) ).
cnf(s184,plain,
( ~ spl0_47
| ~ spl0_52 ),
inference(sat_conversion,[],[f2624]) ).
cnf(s188,plain,
( ~ spl0_3
| spl0_12
| ~ spl0_39 ),
inference(sat_conversion,[],[f2660]) ).
cnf(s189,plain,
( spl0_14
| ~ spl0_39
| ~ spl0_127 ),
inference(sat_conversion,[],[f2662]) ).
cnf(s190,plain,
( spl0_16
| ~ spl0_39
| ~ spl0_139 ),
inference(sat_conversion,[],[f2664]) ).
cnf(s192,plain,
( spl0_8
| ~ spl0_41
| ~ spl0_127 ),
inference(sat_conversion,[],[f2681]) ).
cnf(s193,plain,
( spl0_10
| ~ spl0_41
| ~ spl0_139 ),
inference(sat_conversion,[],[f2682]) ).
cnf(s194,plain,
( ~ spl0_13
| ~ spl0_50 ),
inference(sat_conversion,[],[f2700]) ).
cnf(s195,plain,
( ~ spl0_13
| spl0_47
| ~ spl0_137 ),
inference(sat_conversion,[],[f2713]) ).
cnf(s196,plain,
( ~ spl0_10
| spl0_50
| ~ spl0_70 ),
inference(sat_conversion,[],[f2714]) ).
cnf(s197,plain,
( ~ spl0_16
| spl0_53
| ~ spl0_163 ),
inference(sat_conversion,[],[f2768]) ).
cnf(s199,plain,
( ~ spl0_10
| ~ spl0_96 ),
inference(sat_conversion,[],[f2814]) ).
cnf(s200,plain,
~ spl0_122,
inference(sat_conversion,[],[f2822]) ).
cnf(s202,plain,
( spl0_41
| ~ spl0_52
| ~ spl0_128 ),
inference(sat_conversion,[],[f2840]) ).
cnf(s203,plain,
( ~ spl0_10
| spl0_52
| ~ spl0_123 ),
inference(sat_conversion,[],[f2842]) ).
cnf(s204,plain,
( ~ spl0_4
| spl0_44
| ~ spl0_50 ),
inference(sat_conversion,[],[f2853]) ).
cnf(s205,plain,
( spl0_46
| ~ spl0_50
| ~ spl0_128 ),
inference(sat_conversion,[],[f2855]) ).
cnf(s206,plain,
( spl0_47
| ~ spl0_50
| ~ spl0_147 ),
inference(sat_conversion,[],[f2857]) ).
cnf(s207,plain,
( ~ spl0_2
| ~ spl0_10
| spl0_49 ),
inference(sat_conversion,[],[f2858]) ).
cnf(s208,plain,
( spl0_8
| ~ spl0_14
| ~ spl0_124 ),
inference(sat_conversion,[],[f2882]) ).
cnf(s209,plain,
( ~ spl0_10
| ~ spl0_16 ),
inference(sat_conversion,[],[f2890]) ).
cnf(s210,plain,
( ~ spl0_14
| ~ spl0_46 ),
inference(sat_conversion,[],[f2936]) ).
cnf(s211,plain,
( ~ spl0_39
| ~ spl0_49 ),
inference(sat_conversion,[],[f2951]) ).
cnf(s212,plain,
( spl0_15
| ~ spl0_49
| ~ spl0_147 ),
inference(sat_conversion,[],[f2953]) ).
cnf(s214,plain,
( spl0_9
| ~ spl0_14
| ~ spl0_137 ),
inference(sat_conversion,[],[f2980]) ).
cnf(s215,plain,
( spl0_7
| ~ spl0_14
| ~ spl0_148 ),
inference(sat_conversion,[],[f2998]) ).
cnf(s216,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(sat_conversion,[],[f3006]) ).
cnf(s217,plain,
( ~ spl0_14
| ~ spl0_41 ),
inference(sat_conversion,[],[f3019]) ).
cnf(s221,plain,
( ~ spl0_14
| ~ spl0_51 ),
inference(sat_conversion,[],[f3050]) ).
cnf(s222,plain,
( spl0_42
| ~ spl0_47
| ~ spl0_145 ),
inference(sat_conversion,[],[f3109]) ).
cnf(s223,plain,
( spl0_43
| ~ spl0_47
| ~ spl0_160 ),
inference(sat_conversion,[],[f3111]) ).
cnf(s224,plain,
( ~ spl0_9
| ~ spl0_47 ),
inference(sat_conversion,[],[f3120]) ).
cnf(s227,plain,
~ spl0_80,
inference(sat_conversion,[],[f3158]) ).
cnf(s228,plain,
~ spl0_78,
inference(sat_conversion,[],[f3166]) ).
cnf(s229,plain,
( ~ spl0_22
| ~ spl0_47 ),
inference(sat_conversion,[],[f3177]) ).
cnf(s230,plain,
( ~ spl0_47
| ~ spl0_68 ),
inference(sat_conversion,[],[f3179]) ).
cnf(s231,plain,
( ~ spl0_47
| ~ spl0_111 ),
inference(sat_conversion,[],[f3181]) ).
cnf(s232,plain,
( ~ spl0_25
| spl0_65
| spl0_66
| spl0_67
| spl0_68
| spl0_69
| spl0_124 ),
inference(sat_conversion,[],[f3189]) ).
cnf(s234,plain,
~ spl0_112,
inference(sat_conversion,[],[f3211]) ).
cnf(s235,plain,
~ spl0_109,
inference(sat_conversion,[],[f3221]) ).
cnf(s236,plain,
( ~ spl0_110
| spl0_130
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f3234]) ).
cnf(s237,plain,
( ~ spl0_10
| ~ spl0_154 ),
inference(sat_conversion,[],[f3247]) ).
cnf(s238,plain,
( ~ spl0_39
| ~ spl0_140 ),
inference(sat_conversion,[],[f3257]) ).
cnf(s239,plain,
( ~ spl0_39
| ~ spl0_118 ),
inference(sat_conversion,[],[f3259]) ).
cnf(s240,plain,
( ~ spl0_1
| ~ spl0_25 ),
inference(sat_conversion,[],[f3280]) ).
cnf(s241,plain,
( ~ spl0_28
| ~ spl0_33 ),
inference(sat_conversion,[],[f3289]) ).
cnf(s242,plain,
( ~ spl0_10
| ~ spl0_28 ),
inference(sat_conversion,[],[f3291]) ).
cnf(s243,plain,
~ spl0_24,
inference(sat_conversion,[],[f3299]) ).
cnf(s245,plain,
~ spl0_26,
inference(sat_conversion,[],[f3316]) ).
cnf(s246,plain,
( ~ spl0_79
| ~ spl0_127 ),
inference(sat_conversion,[],[f3353]) ).
cnf(s247,plain,
( ~ spl0_1
| spl0_21
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(sat_conversion,[],[f3385]) ).
cnf(s248,plain,
( ~ spl0_1
| spl0_20
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(sat_conversion,[],[f3387]) ).
cnf(s249,plain,
~ spl0_20,
inference(sat_conversion,[],[f3397]) ).
cnf(s251,plain,
( ~ spl0_75
| ~ spl0_144 ),
inference(sat_conversion,[],[f3419]) ).
cnf(s253,plain,
( ~ spl0_108
| ~ spl0_163 ),
inference(sat_conversion,[],[f3436]) ).
cnf(s254,plain,
~ spl0_121,
inference(sat_conversion,[],[f3451]) ).
cnf(s256,plain,
( ~ spl0_86
| ~ spl0_147 ),
inference(sat_conversion,[],[f3466]) ).
cnf(s257,plain,
( ~ spl0_86
| ~ spl0_91 ),
inference(sat_conversion,[],[f3468]) ).
cnf(s258,plain,
~ spl0_85,
inference(sat_conversion,[],[f3476]) ).
cnf(s259,plain,
~ spl0_82,
inference(sat_conversion,[],[f3486]) ).
cnf(s260,plain,
( ~ spl0_14
| ~ spl0_84 ),
inference(sat_conversion,[],[f3494]) ).
cnf(s261,plain,
( ~ spl0_21
| ~ spl0_36 ),
inference(sat_conversion,[],[f3502]) ).
cnf(s262,plain,
( ~ spl0_23
| ~ spl0_33 ),
inference(sat_conversion,[],[f3510]) ).
cnf(s263,plain,
( spl0_4
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_106 ),
inference(sat_conversion,[],[f3515]) ).
cnf(s266,plain,
( ~ spl0_70
| ~ spl0_142 ),
inference(sat_conversion,[],[f3557]) ).
cnf(s267,plain,
( ~ spl0_142
| ~ spl0_157 ),
inference(sat_conversion,[],[f3559]) ).
cnf(s268,plain,
( ~ spl0_14
| ~ spl0_73 ),
inference(sat_conversion,[],[f3572]) ).
cnf(s270,plain,
( ~ spl0_74
| ~ spl0_153 ),
inference(sat_conversion,[],[f3592]) ).
cnf(s271,plain,
( ~ spl0_70
| ~ spl0_157 ),
inference(sat_conversion,[],[f3604]) ).
cnf(s272,plain,
( ~ spl0_23
| spl0_148
| spl0_155
| spl0_156
| spl0_157
| spl0_158
| spl0_159 ),
inference(sat_conversion,[],[f3612]) ).
cnf(s273,plain,
( ~ spl0_150
| ~ spl0_155 ),
inference(sat_conversion,[],[f3620]) ).
cnf(s274,plain,
( ~ spl0_105
| ~ spl0_110 ),
inference(sat_conversion,[],[f3634]) ).
cnf(s275,plain,
( ~ spl0_14
| ~ spl0_105 ),
inference(sat_conversion,[],[f3636]) ).
cnf(s276,plain,
~ spl0_156,
inference(sat_conversion,[],[f3650]) ).
cnf(s278,plain,
( ~ spl0_1
| ~ spl0_30 ),
inference(sat_conversion,[],[f3660]) ).
cnf(s279,plain,
~ spl0_29,
inference(sat_conversion,[],[f3669]) ).
cnf(s281,plain,
~ spl0_32,
inference(sat_conversion,[],[f3682]) ).
cnf(s283,plain,
( ~ spl0_31
| ~ spl0_36 ),
inference(sat_conversion,[],[f3693]) ).
cnf(s284,plain,
( ~ spl0_31
| spl0_92
| spl0_93
| spl0_94
| spl0_95
| spl0_96
| spl0_137 ),
inference(sat_conversion,[],[f3700]) ).
cnf(s285,plain,
( spl0_2
| spl0_34
| spl0_35
| spl0_36
| spl0_37
| spl0_38
| ~ spl0_64 ),
inference(sat_conversion,[],[f3705]) ).
cnf(s288,plain,
( ~ spl0_89
| ~ spl0_99 ),
inference(sat_conversion,[],[f3737]) ).
cnf(s289,plain,
( ~ spl0_99
| spl0_113
| spl0_114
| spl0_115
| spl0_116
| spl0_117
| spl0_139 ),
inference(sat_conversion,[],[f3741]) ).
cnf(s290,plain,
~ spl0_88,
inference(sat_conversion,[],[f3752]) ).
cnf(s293,plain,
( ~ spl0_83
| ~ spl0_98 ),
inference(sat_conversion,[],[f3781]) ).
cnf(s294,plain,
( ~ spl0_50
| ~ spl0_98 ),
inference(sat_conversion,[],[f3783]) ).
cnf(s296,plain,
( ~ spl0_63
| ~ spl0_127 ),
inference(sat_conversion,[],[f3815]) ).
cnf(s298,plain,
~ spl0_115,
inference(sat_conversion,[],[f3841]) ).
cnf(s300,plain,
~ spl0_101,
inference(sat_conversion,[],[f3854]) ).
cnf(s302,plain,
~ spl0_100,
inference(sat_conversion,[],[f3864]) ).
cnf(s304,plain,
~ spl0_117,
inference(sat_conversion,[],[f3881]) ).
cnf(s307,plain,
( ~ spl0_39
| ~ spl0_55 ),
inference(sat_conversion,[],[f3894]) ).
cnf(s308,plain,
( ~ spl0_56
| ~ spl0_61 ),
inference(sat_conversion,[],[f3923]) ).
cnf(s309,plain,
~ spl0_62,
inference(sat_conversion,[],[f3932]) ).
cnf(s311,plain,
( ~ spl0_1
| ~ spl0_35 ),
inference(sat_conversion,[],[f3943]) ).
cnf(s312,plain,
( ~ spl0_35
| ~ spl0_50 ),
inference(sat_conversion,[],[f3945]) ).
cnf(s313,plain,
~ spl0_34,
inference(sat_conversion,[],[f3953]) ).
cnf(s314,plain,
~ spl0_38,
inference(sat_conversion,[],[f3964]) ).
cnf(s316,plain,
( ~ spl0_27
| ~ spl0_37 ),
inference(sat_conversion,[],[f3974]) ).
cnf(s317,plain,
( ~ spl0_21
| ~ spl0_31 ),
inference(sat_conversion,[],[f3982]) ).
cnf(s318,plain,
( ~ spl0_56
| ~ spl0_125 ),
inference(sat_conversion,[],[f3996]) ).
cnf(s319,plain,
( spl0_41
| ~ spl0_47
| ~ spl0_125 ),
inference(sat_conversion,[],[f3998]) ).
cnf(s321,plain,
( ~ spl0_21
| spl0_26
| ~ spl0_61 ),
inference(sat_conversion,[],[f4029]) ).
cnf(s323,plain,
( ~ spl0_6
| spl0_13
| ~ spl0_70 ),
inference(sat_conversion,[],[f4032]) ).
cnf(s325,plain,
( ~ spl0_6
| spl0_15
| ~ spl0_123 ),
inference(sat_conversion,[],[f4036]) ).
cnf(s327,plain,
( ~ spl0_1
| spl0_39
| ~ spl0_47 ),
inference(sat_conversion,[],[f4039]) ).
cnf(s328,plain,
( spl0_49
| spl0_50
| spl0_51
| spl0_52
| spl0_53 ),
inference(sat_conversion,[],[f4045]) ).
cnf(s331,plain,
( spl0_10
| ~ spl0_14
| ~ spl0_163 ),
inference(sat_conversion,[],[f4051]) ).
cnf(s332,plain,
( ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f4064]) ).
cnf(s334,plain,
( ~ spl0_61
| ~ spl0_125 ),
inference(sat_conversion,[],[f4149]) ).
cnf(s335,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_113
| spl0_128 ),
inference(sat_conversion,[],[f4158]) ).
cnf(s336,plain,
( ~ spl0_110
| ~ spl0_161 ),
inference(sat_conversion,[],[f4181]) ).
cnf(s338,plain,
( ~ spl0_9
| spl0_42
| ~ spl0_123 ),
inference(sat_conversion,[],[f4199]) ).
cnf(s339,plain,
( ~ spl0_9
| spl0_43
| ~ spl0_161 ),
inference(sat_conversion,[],[f4201]) ).
cnf(s341,plain,
( ~ spl0_83
| ~ spl0_145 ),
inference(sat_conversion,[],[f4219]) ).
cnf(s342,plain,
( ~ spl0_9
| ~ spl0_52 ),
inference(sat_conversion,[],[f4244]) ).
cnf(s344,plain,
( ~ spl0_74
| ~ spl0_129 ),
inference(sat_conversion,[],[f4264]) ).
cnf(s346,plain,
( ~ spl0_9
| ~ spl0_27 ),
inference(sat_conversion,[],[f4284]) ).
cnf(s347,plain,
( ~ spl0_23
| ~ spl0_48 ),
inference(sat_conversion,[],[f4313]) ).
cnf(s348,plain,
( ~ spl0_21
| spl0_28
| ~ spl0_104 ),
inference(sat_conversion,[],[f4314]) ).
cnf(s350,plain,
( ~ spl0_13
| ~ spl0_104 ),
inference(sat_conversion,[],[f4341]) ).
cnf(s351,plain,
( ~ spl0_2
| ~ spl0_31 ),
inference(sat_conversion,[],[f4376]) ).
cnf(s352,plain,
( ~ spl0_2
| spl0_26
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(sat_conversion,[],[f4414]) ).
cnf(s354,plain,
( ~ spl0_59
| ~ spl0_64 ),
inference(sat_conversion,[],[f4424]) ).
cnf(s356,plain,
( ~ spl0_2
| spl0_25
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(sat_conversion,[],[f4443]) ).
cnf(s357,plain,
( ~ spl0_9
| ~ spl0_116 ),
inference(sat_conversion,[],[f4451]) ).
cnf(s358,plain,
( ~ spl0_63
| ~ spl0_79 ),
inference(sat_conversion,[],[f4470]) ).
cnf(s360,plain,
( ~ spl0_77
| ~ spl0_125 ),
inference(sat_conversion,[],[f4491]) ).
cnf(s361,plain,
( spl0_92
| spl0_93
| spl0_94
| spl0_95
| spl0_96
| ~ spl0_142
| spl0_145 ),
inference(sat_conversion,[],[f4507]) ).
cnf(s363,plain,
( ~ spl0_73
| ~ spl0_142 ),
inference(sat_conversion,[],[f4536]) ).
cnf(s364,plain,
( ~ spl0_25
| ~ spl0_35 ),
inference(sat_conversion,[],[f4544]) ).
cnf(s365,plain,
( ~ spl0_22
| ~ spl0_37 ),
inference(sat_conversion,[],[f4552]) ).
cnf(s367,plain,
( spl0_20
| ~ spl0_25
| ~ spl0_73 ),
inference(sat_conversion,[],[f4587]) ).
cnf(s368,plain,
( spl0_23
| ~ spl0_25
| ~ spl0_105 ),
inference(sat_conversion,[],[f4589]) ).
cnf(s369,plain,
( spl0_22
| ~ spl0_25
| ~ spl0_84 ),
inference(sat_conversion,[],[f4593]) ).
cnf(s370,plain,
( ~ spl0_2
| spl0_28
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(sat_conversion,[],[f4603]) ).
cnf(s371,plain,
( ~ spl0_2
| spl0_28
| spl0_104
| spl0_105
| spl0_106
| spl0_107
| ~ spl0_163 ),
inference(sat_conversion,[],[f4606]) ).
cnf(s374,plain,
( ~ spl0_25
| ~ spl0_30 ),
inference(sat_conversion,[],[f4622]) ).
cnf(s375,plain,
( ~ spl0_30
| spl0_87
| spl0_88
| spl0_89
| spl0_90
| spl0_91
| spl0_137 ),
inference(sat_conversion,[],[f4630]) ).
cnf(s376,plain,
( ~ spl0_2
| ~ spl0_36 ),
inference(sat_conversion,[],[f4644]) ).
cnf(s377,plain,
( ~ spl0_36
| ~ spl0_51 ),
inference(sat_conversion,[],[f4646]) ).
cnf(s378,plain,
( ~ spl0_13
| ~ spl0_83 ),
inference(sat_conversion,[],[f4669]) ).
cnf(s379,plain,
( spl0_15
| ~ spl0_44
| ~ spl0_145 ),
inference(sat_conversion,[],[f4671]) ).
cnf(s381,plain,
( ~ spl0_39
| ~ spl0_44 ),
inference(sat_conversion,[],[f4693]) ).
cnf(s382,plain,
( ~ spl0_46
| ~ spl0_51 ),
inference(sat_conversion,[],[f4701]) ).
cnf(s383,plain,
( spl0_6
| spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f4708]) ).
cnf(s384,plain,
( ~ spl0_10
| ~ spl0_48 ),
inference(sat_conversion,[],[f4833]) ).
cnf(s386,plain,
( ~ spl0_21
| ~ spl0_46 ),
inference(sat_conversion,[],[f4875]) ).
cnf(s387,plain,
( ~ spl0_30
| ~ spl0_35 ),
inference(sat_conversion,[],[f4896]) ).
cnf(s388,plain,
( spl0_2
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_63 ),
inference(sat_conversion,[],[f4905]) ).
cnf(s391,plain,
( ~ spl0_119
| ~ spl0_160 ),
inference(sat_conversion,[],[f4954]) ).
cnf(s392,plain,
( ~ spl0_114
| ~ spl0_119 ),
inference(sat_conversion,[],[f4956]) ).
cnf(s393,plain,
( ~ spl0_114
| ~ spl0_160 ),
inference(sat_conversion,[],[f4965]) ).
cnf(s394,plain,
( ~ spl0_106
| ~ spl0_111 ),
inference(sat_conversion,[],[f4981]) ).
cnf(s395,plain,
( ~ spl0_4
| spl0_38
| spl0_103
| spl0_104
| spl0_105
| spl0_106
| spl0_107 ),
inference(sat_conversion,[],[f4988]) ).
cnf(s396,plain,
( ~ spl0_105
| ~ spl0_120 ),
inference(sat_conversion,[],[f4996]) ).
cnf(s397,plain,
( ~ spl0_69
| spl0_70
| spl0_155
| spl0_156
| spl0_157
| spl0_158
| spl0_159 ),
inference(sat_conversion,[],[f5005]) ).
cnf(s399,plain,
( spl0_26
| ~ spl0_31
| ~ spl0_63 ),
inference(sat_conversion,[],[f5061]) ).
cnf(s400,plain,
( spl0_28
| ~ spl0_31
| ~ spl0_106 ),
inference(sat_conversion,[],[f5063]) ).
cnf(s401,plain,
( ~ spl0_61
| ~ spl0_77 ),
inference(sat_conversion,[],[f5073]) ).
cnf(s402,plain,
( ~ spl0_13
| ~ spl0_61 ),
inference(sat_conversion,[],[f5075]) ).
cnf(s404,plain,
( spl0_20
| ~ spl0_35
| ~ spl0_75 ),
inference(sat_conversion,[],[f5088]) ).
cnf(s405,plain,
( spl0_21
| ~ spl0_35
| ~ spl0_64 ),
inference(sat_conversion,[],[f5090]) ).
cnf(s406,plain,
( ~ spl0_4
| spl0_35
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(sat_conversion,[],[f5108]) ).
cnf(s410,plain,
( ~ spl0_52
| ~ spl0_79 ),
inference(sat_conversion,[],[f5139]) ).
cnf(s412,plain,
( ~ spl0_22
| ~ spl0_27 ),
inference(sat_conversion,[],[f5170]) ).
cnf(s413,plain,
( ~ spl0_4
| ~ spl0_23 ),
inference(sat_conversion,[],[f5183]) ).
cnf(s416,plain,
( spl0_40
| ~ spl0_52
| ~ spl0_130 ),
inference(sat_conversion,[],[f5191]) ).
cnf(s418,plain,
( ~ spl0_106
| ~ spl0_139 ),
inference(sat_conversion,[],[f5268]) ).
cnf(s419,plain,
( ~ spl0_9
| ~ spl0_153 ),
inference(sat_conversion,[],[f5300]) ).
cnf(s420,plain,
( ~ spl0_130
| ~ spl0_154 ),
inference(sat_conversion,[],[f5308]) ).
cnf(s421,plain,
( ~ spl0_55
| ~ spl0_124 ),
inference(sat_conversion,[],[f5316]) ).
cnf(s422,plain,
( ~ spl0_65
| ~ spl0_124 ),
inference(sat_conversion,[],[f5334]) ).
cnf(s424,plain,
( ~ spl0_43
| spl0_53
| ~ spl0_139 ),
inference(sat_conversion,[],[f5368]) ).
cnf(s425,plain,
( ~ spl0_23
| ~ spl0_28 ),
inference(sat_conversion,[],[f5389]) ).
cnf(s426,plain,
( ~ spl0_98
| ~ spl0_145 ),
inference(sat_conversion,[],[f5429]) ).
cnf(s427,plain,
( ~ spl0_84
| ~ spl0_99 ),
inference(sat_conversion,[],[f5438]) ).
cnf(s428,plain,
( ~ spl0_49
| ~ spl0_97 ),
inference(sat_conversion,[],[f5446]) ).
cnf(s429,plain,
( ~ spl0_3
| spl0_32
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(sat_conversion,[],[f5453]) ).
cnf(s430,plain,
( spl0_20
| ~ spl0_30
| ~ spl0_74 ),
inference(sat_conversion,[],[f5495]) ).
cnf(s431,plain,
( spl0_21
| ~ spl0_30
| ~ spl0_63 ),
inference(sat_conversion,[],[f5497]) ).
cnf(s432,plain,
( spl0_1
| spl0_29
| spl0_30
| spl0_31
| spl0_32
| spl0_33
| ~ spl0_74 ),
inference(sat_conversion,[],[f5506]) ).
cnf(s434,plain,
( ~ spl0_3
| ~ spl0_37 ),
inference(sat_conversion,[],[f5525]) ).
cnf(s435,plain,
( ~ spl0_37
| spl0_118
| spl0_119
| spl0_120
| spl0_121
| spl0_122
| spl0_163 ),
inference(sat_conversion,[],[f5533]) ).
cnf(s436,plain,
( ~ spl0_3
| spl0_30
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(sat_conversion,[],[f5546]) ).
cnf(s438,plain,
( ~ spl0_3
| ~ spl0_22 ),
inference(sat_conversion,[],[f5556]) ).
cnf(s439,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_51 ),
inference(sat_conversion,[],[f5557]) ).
cnf(s442,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(sat_conversion,[],[f5573]) ).
cnf(s444,plain,
( ~ spl0_13
| ~ spl0_15 ),
inference(sat_conversion,[],[f5583]) ).
cnf(s445,plain,
( ~ spl0_140
| ~ spl0_150 ),
inference(sat_conversion,[],[f5657]) ).
cnf(s446,plain,
( ~ spl0_64
| ~ spl0_69 ),
inference(sat_conversion,[],[f5700]) ).
cnf(s447,plain,
( ~ spl0_73
| ~ spl0_157 ),
inference(sat_conversion,[],[f5723]) ).
cnf(s449,plain,
( ~ spl0_6
| ~ spl0_44 ),
inference(sat_conversion,[],[f5774]) ).
cnf(s450,plain,
( ~ spl0_6
| ~ spl0_92 ),
inference(sat_conversion,[],[f5785]) ).
cnf(s451,plain,
( ~ spl0_41
| ~ spl0_51 ),
inference(sat_conversion,[],[f5797]) ).
cnf(s452,plain,
( spl0_23
| ~ spl0_30
| ~ spl0_106 ),
inference(sat_conversion,[],[f5799]) ).
cnf(s453,plain,
( ~ spl0_6
| ~ spl0_113 ),
inference(sat_conversion,[],[f5812]) ).
cnf(s455,plain,
( ~ spl0_4
| ~ spl0_28 ),
inference(sat_conversion,[],[f5909]) ).
cnf(s457,plain,
( ~ spl0_33
| ~ spl0_43 ),
inference(sat_conversion,[],[f5926]) ).
cnf(s458,plain,
( spl0_22
| ~ spl0_35
| ~ spl0_86 ),
inference(sat_conversion,[],[f5928]) ).
cnf(s459,plain,
( ~ spl0_43
| ~ spl0_144 ),
inference(sat_conversion,[],[f5951]) ).
cnf(s462,plain,
( ~ spl0_87
| spl0_123
| spl0_145
| spl0_146
| spl0_147 ),
inference(sat_conversion,[],[f6024]) ).
cnf(s464,plain,
( ~ spl0_70
| ~ spl0_73 ),
inference(sat_conversion,[],[f6052]) ).
cnf(s466,plain,
( ~ spl0_86
| ~ spl0_96 ),
inference(sat_conversion,[],[f6065]) ).
cnf(s467,plain,
( ~ spl0_51
| ~ spl0_99 ),
inference(sat_conversion,[],[f6078]) ).
cnf(s469,plain,
( ~ spl0_97
| spl0_123
| spl0_145
| spl0_146
| spl0_147 ),
inference(sat_conversion,[],[f6112]) ).
cnf(s470,plain,
( ~ spl0_3
| ~ spl0_43
| spl0_49 ),
inference(sat_conversion,[],[f6113]) ).
cnf(s471,plain,
( ~ spl0_43
| spl0_51
| ~ spl0_127 ),
inference(sat_conversion,[],[f6115]) ).
cnf(s472,plain,
( ~ spl0_6
| ~ spl0_49 ),
inference(sat_conversion,[],[f6139]) ).
cnf(s473,plain,
( ~ spl0_2
| ~ spl0_21 ),
inference(sat_conversion,[],[f6152]) ).
cnf(s474,plain,
( ~ spl0_49
| ~ spl0_76 ),
inference(sat_conversion,[],[f6283]) ).
cnf(s475,plain,
( ~ spl0_116
| ~ spl0_139 ),
inference(sat_conversion,[],[f6337]) ).
cnf(s479,plain,
( ~ spl0_55
| ~ spl0_65 ),
inference(sat_conversion,[],[f6372]) ).
cnf(s480,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_41 ),
inference(sat_conversion,[],[f6373]) ).
cnf(s482,plain,
( ~ spl0_64
| ~ spl0_128 ),
inference(sat_conversion,[],[f6438]) ).
cnf(s483,plain,
( spl0_42
| ~ spl0_52
| ~ spl0_147 ),
inference(sat_conversion,[],[f6493]) ).
cnf(s484,plain,
( ~ spl0_6
| ~ spl0_150 ),
inference(sat_conversion,[],[f6521]) ).
cnf(s485,plain,
( ~ spl0_52
| ~ spl0_158 ),
inference(sat_conversion,[],[f6546]) ).
cnf(s486,plain,
( ~ spl0_48
| ~ spl0_91 ),
inference(sat_conversion,[],[f6555]) ).
cnf(s492,plain,
( ~ spl0_93
| ~ spl0_145 ),
inference(sat_conversion,[],[f6677]) ).
cnf(s498,plain,
( ~ spl0_7
| ~ spl0_40 ),
inference(sat_conversion,[],[f6828]) ).
cnf(s499,plain,
( spl0_39
| spl0_40
| spl0_41
| spl0_42
| spl0_43 ),
inference(sat_conversion,[],[f6835]) ).
cnf(s500,plain,
( ~ spl0_16
| ~ spl0_43 ),
inference(sat_conversion,[],[f6843]) ).
cnf(s501,plain,
( ~ spl0_37
| ~ spl0_52 ),
inference(sat_conversion,[],[f6866]) ).
cnf(s504,plain,
( ~ spl0_49
| ~ spl0_52 ),
inference(sat_conversion,[],[f6879]) ).
cnf(s505,plain,
( ~ spl0_7
| spl0_47
| ~ spl0_123 ),
inference(sat_conversion,[],[f6954]) ).
cnf(s508,plain,
( ~ spl0_7
| ~ spl0_93 ),
inference(sat_conversion,[],[f7011]) ).
cnf(s509,plain,
( spl0_14
| ~ spl0_44
| ~ spl0_125 ),
inference(sat_conversion,[],[f7045]) ).
cnf(s511,plain,
( ~ spl0_28
| spl0_37
| ~ spl0_84 ),
inference(sat_conversion,[],[f7117]) ).
cnf(s513,plain,
( ~ spl0_59
| ~ spl0_128 ),
inference(sat_conversion,[],[f7132]) ).
cnf(s514,plain,
( ~ spl0_44
| ~ spl0_65 ),
inference(sat_conversion,[],[f7155]) ).
cnf(s520,plain,
( spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f7192]) ).
cnf(s521,plain,
( ~ spl0_2
| ~ spl0_9
| spl0_39 ),
inference(sat_conversion,[],[f7193]) ).
cnf(s522,plain,
( ~ spl0_16
| spl0_52
| ~ spl0_137 ),
inference(sat_conversion,[],[f7194]) ).
cnf(s525,plain,
( ~ spl0_11
| spl0_123
| spl0_135
| spl0_145
| spl0_146
| spl0_147 ),
inference(sat_conversion,[],[f7206]) ).
cnf(s527,plain,
( ~ spl0_40
| spl0_48
| ~ spl0_139 ),
inference(sat_conversion,[],[f7209]) ).
cnf(s530,plain,
( ~ spl0_16
| ~ spl0_48 ),
inference(sat_conversion,[],[f7343]) ).
cnf(s531,plain,
( ~ spl0_2
| ~ spl0_7
| spl0_44 ),
inference(sat_conversion,[],[f7344]) ).
cnf(s533,plain,
( ~ spl0_15
| spl0_43
| ~ spl0_163 ),
inference(sat_conversion,[],[f7345]) ).
cnf(s534,plain,
( ~ spl0_89
| spl0_129
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f7395]) ).
cnf(s535,plain,
( ~ spl0_7
| ~ spl0_114 ),
inference(sat_conversion,[],[f7469]) ).
cnf(s536,plain,
( ~ spl0_43
| ~ spl0_59 ),
inference(sat_conversion,[],[f7499]) ).
cnf(s537,plain,
( ~ spl0_68
| ~ spl0_127 ),
inference(sat_conversion,[],[f7542]) ).
cnf(s545,plain,
( ~ spl0_27
| spl0_32
| ~ spl0_84 ),
inference(sat_conversion,[],[f7643]) ).
cnf(s548,plain,
( ~ spl0_28
| spl0_35
| ~ spl0_73 ),
inference(sat_conversion,[],[f7647]) ).
cnf(s554,plain,
( spl0_13
| ~ spl0_49
| ~ spl0_130 ),
inference(sat_conversion,[],[f7670]) ).
cnf(s555,plain,
( ~ spl0_44
| ~ spl0_49 ),
inference(sat_conversion,[],[f7688]) ).
cnf(s557,plain,
( spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86
| ~ spl0_118
| spl0_147 ),
inference(sat_conversion,[],[f7689]) ).
cnf(s558,plain,
( ~ spl0_2
| spl0_27
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(sat_conversion,[],[f7696]) ).
cnf(s559,plain,
( ~ spl0_30
| ~ spl0_40 ),
inference(sat_conversion,[],[f7839]) ).
cnf(s561,plain,
( ~ spl0_16
| spl0_50
| ~ spl0_148 ),
inference(sat_conversion,[],[f7840]) ).
cnf(s562,plain,
( ~ spl0_16
| ~ spl0_75 ),
inference(sat_conversion,[],[f7913]) ).
cnf(s563,plain,
( ~ spl0_16
| ~ spl0_86 ),
inference(sat_conversion,[],[f7915]) ).
cnf(s564,plain,
( ~ spl0_1
| ~ spl0_48
| spl0_49 ),
inference(sat_conversion,[],[f7916]) ).
cnf(s565,plain,
( ~ spl0_7
| spl0_48
| ~ spl0_161 ),
inference(sat_conversion,[],[f7917]) ).
cnf(s566,plain,
( ~ spl0_15
| spl0_41
| ~ spl0_124 ),
inference(sat_conversion,[],[f7918]) ).
cnf(s567,plain,
( ~ spl0_22
| spl0_31
| ~ spl0_61 ),
inference(sat_conversion,[],[f7919]) ).
cnf(s568,plain,
( ~ spl0_49
| ~ spl0_155 ),
inference(sat_conversion,[],[f8044]) ).
cnf(s569,plain,
( ~ spl0_31
| ~ spl0_41 ),
inference(sat_conversion,[],[f8068]) ).
cnf(s570,plain,
( ~ spl0_87
| ~ spl0_92 ),
inference(sat_conversion,[],[f8138]) ).
cnf(s571,plain,
( ~ spl0_22
| spl0_32
| ~ spl0_83 ),
inference(sat_conversion,[],[f8154]) ).
cnf(s573,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_92
| spl0_127 ),
inference(sat_conversion,[],[f8164]) ).
cnf(s574,plain,
( ~ spl0_96
| ~ spl0_147 ),
inference(sat_conversion,[],[f8187]) ).
cnf(s577,plain,
( ~ spl0_7
| ~ spl0_50 ),
inference(sat_conversion,[],[f8215]) ).
cnf(s578,plain,
( ~ spl0_89
| ~ spl0_123 ),
inference(sat_conversion,[],[f8376]) ).
cnf(s579,plain,
( ~ spl0_74
| ~ spl0_158 ),
inference(sat_conversion,[],[f8389]) ).
cnf(s580,plain,
( ~ spl0_23
| spl0_36
| ~ spl0_61 ),
inference(sat_conversion,[],[f8414]) ).
cnf(s581,plain,
( ~ spl0_23
| spl0_38
| ~ spl0_104 ),
inference(sat_conversion,[],[f8416]) ).
cnf(s584,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64
| ~ spl0_113
| spl0_128 ),
inference(sat_conversion,[],[f8417]) ).
cnf(s585,plain,
( ~ spl0_99
| ~ spl0_123 ),
inference(sat_conversion,[],[f8554]) ).
cnf(s587,plain,
( ~ spl0_3
| spl0_31
| spl0_60
| spl0_61
| spl0_62
| spl0_63
| spl0_64 ),
inference(sat_conversion,[],[f8566]) ).
cnf(s589,plain,
( ~ spl0_6
| spl0_16
| ~ spl0_161 ),
inference(sat_conversion,[],[f8570]) ).
cnf(s594,plain,
( spl0_70
| spl0_129
| spl0_130
| ~ spl0_140
| spl0_149 ),
inference(sat_conversion,[],[f8725]) ).
cnf(s597,plain,
( ~ spl0_33
| spl0_38
| ~ spl0_106 ),
inference(sat_conversion,[],[f8754]) ).
cnf(s600,plain,
( ~ spl0_9
| spl0_40
| ~ spl0_70 ),
inference(sat_conversion,[],[f8755]) ).
cnf(s603,plain,
( ~ spl0_104
| ~ spl0_114 ),
inference(sat_conversion,[],[f8819]) ).
cnf(s604,plain,
( ~ spl0_40
| ~ spl0_56 ),
inference(sat_conversion,[],[f8901]) ).
cnf(s606,plain,
( ~ spl0_75
| ~ spl0_154 ),
inference(sat_conversion,[],[f8976]) ).
cnf(s607,plain,
( ~ spl0_4
| spl0_39
| ~ spl0_52 ),
inference(sat_conversion,[],[f8977]) ).
cnf(s609,plain,
( ~ spl0_7
| ~ spl0_25 ),
inference(sat_conversion,[],[f9076]) ).
cnf(s610,plain,
( ~ spl0_148
| ~ spl0_150 ),
inference(sat_conversion,[],[f9145]) ).
cnf(s611,plain,
( spl0_25
| ~ spl0_36
| ~ spl0_75 ),
inference(sat_conversion,[],[f9165]) ).
cnf(s612,plain,
( spl0_26
| ~ spl0_36
| ~ spl0_64 ),
inference(sat_conversion,[],[f9167]) ).
cnf(s613,plain,
( ~ spl0_3
| ~ spl0_40
| spl0_44 ),
inference(sat_conversion,[],[f9168]) ).
cnf(s616,plain,
( ~ spl0_16
| spl0_51
| ~ spl0_124 ),
inference(sat_conversion,[],[f9169]) ).
cnf(s619,plain,
( ~ spl0_33
| spl0_36
| ~ spl0_63 ),
inference(sat_conversion,[],[f9170]) ).
cnf(s620,plain,
( ~ spl0_33
| spl0_35
| ~ spl0_74 ),
inference(sat_conversion,[],[f9171]) ).
cnf(s628,plain,
( ~ spl0_44
| ~ spl0_108 ),
inference(sat_conversion,[],[f9320]) ).
cnf(s629,plain,
( ~ spl0_111
| ~ spl0_139 ),
inference(sat_conversion,[],[f9371]) ).
cnf(s630,plain,
( spl0_31
| ~ spl0_37
| ~ spl0_64 ),
inference(sat_conversion,[],[f9428]) ).
cnf(s631,plain,
( spl0_32
| ~ spl0_37
| ~ spl0_86 ),
inference(sat_conversion,[],[f9430]) ).
cnf(s632,plain,
( ~ spl0_21
| spl0_148
| spl0_150
| spl0_151
| spl0_152
| spl0_153
| spl0_154 ),
inference(sat_conversion,[],[f9431]) ).
cnf(s633,plain,
( ~ spl0_27
| spl0_33
| ~ spl0_105 ),
inference(sat_conversion,[],[f9432]) ).
cnf(s634,plain,
( ~ spl0_27
| spl0_30
| ~ spl0_73 ),
inference(sat_conversion,[],[f9433]) ).
cnf(s637,plain,
( ~ spl0_48
| spl0_51
| ~ spl0_125 ),
inference(sat_conversion,[],[f9434]) ).
cnf(s639,plain,
( ~ spl0_4
| spl0_37
| spl0_82
| spl0_83
| spl0_84
| spl0_85
| spl0_86 ),
inference(sat_conversion,[],[f9441]) ).
cnf(s640,plain,
( ~ spl0_99
| spl0_113
| spl0_114
| spl0_116
| spl0_139 ),
inference(rat,[],[s289,s304,s298]) ).
cnf(s642,plain,
( spl0_2
| spl0_35
| spl0_36
| spl0_37
| ~ spl0_64 ),
inference(rat,[],[s285,s314,s313]) ).
cnf(s643,plain,
( ~ spl0_23
| spl0_148
| spl0_155
| spl0_157
| spl0_158
| spl0_159 ),
inference(rat,[],[s272,s276]) ).
cnf(s644,plain,
( spl0_4
| spl0_30
| spl0_31
| spl0_33
| ~ spl0_106 ),
inference(rat,[],[s263,s281,s279]) ).
cnf(s645,plain,
( ~ spl0_1
| spl0_71
| spl0_72
| spl0_73
| spl0_74
| spl0_75 ),
inference(rat,[],[s248,s249]) ).
cnf(s646,plain,
( ~ spl0_1
| spl0_21
| spl0_60
| spl0_61
| spl0_63
| spl0_64 ),
inference(rat,[],[s247,s309]) ).
cnf(s651,plain,
( spl0_3
| spl0_25
| spl0_27
| spl0_28
| ~ spl0_84 ),
inference(rat,[],[s145,s245,s243]) ).
cnf(s652,plain,
( spl0_3
| spl0_35
| spl0_36
| spl0_37
| ~ spl0_86 ),
inference(rat,[],[s144,s314,s313]) ).
cnf(s653,plain,
( spl0_102
| spl0_139
| spl0_160
| spl0_161
| spl0_163 ),
inference(rat,[],[s143,s149]) ).
cnf(s657,plain,
( spl0_4
| spl0_21
| spl0_22
| spl0_23
| ~ spl0_104 ),
inference(rat,[],[s130,s249,s162]) ).
cnf(s658,plain,
( spl0_1
| spl0_25
| spl0_27
| spl0_28
| ~ spl0_73 ),
inference(rat,[],[s128,s245,s243]) ).
cnf(s660,plain,
( spl0_4
| spl0_25
| spl0_27
| spl0_28
| ~ spl0_105 ),
inference(rat,[],[s112,s245,s243]) ).
cnf(s661,plain,
( spl0_1
| spl0_35
| spl0_36
| spl0_37
| ~ spl0_75 ),
inference(rat,[],[s105,s314,s313]) ).
cnf(s664,plain,
( ~ spl0_76
| spl0_104
| spl0_105
| spl0_106
| spl0_161 ),
inference(rat,[],[s100,s148,s124]) ).
cnf(s665,plain,
( spl0_104
| spl0_105
| spl0_106
| ~ spl0_155
| spl0_160 ),
inference(rat,[],[s98,s148,s124]) ).
cnf(s666,plain,
( ~ spl0_48
| spl0_132
| spl0_155
| spl0_157
| spl0_158 ),
inference(rat,[],[s97,s136,s276]) ).
cnf(s667,plain,
( spl0_60
| spl0_61
| spl0_63
| spl0_64
| spl0_125
| ~ spl0_150 ),
inference(rat,[],[s95,s309]) ).
cnf(s670,plain,
( spl0_73
| spl0_74
| spl0_75
| ~ spl0_87
| spl0_129 ),
inference(rat,[],[s89,s90,s114]) ).
cnf(s671,plain,
( ~ spl0_46
| spl0_132
| spl0_150
| spl0_153
| spl0_154 ),
inference(rat,[],[s86,s131,s96]) ).
cnf(s673,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47
| spl0_48
| ~ spl0_145 ),
inference(rat,[],[s79,s83]) ).
cnf(s674,plain,
( spl0_2
| spl0_21
| spl0_22
| spl0_23
| ~ spl0_61 ),
inference(rat,[],[s75,s249,s162]) ).
cnf(s675,plain,
( spl0_70
| spl0_129
| spl0_130
| spl0_132
| spl0_148 ),
inference(rat,[],[s74,s110]) ).
cnf(s677,plain,
( spl0_81
| spl0_123
| spl0_137
| spl0_145
| spl0_147 ),
inference(rat,[],[s69,s71]) ).
cnf(s678,plain,
( spl0_3
| spl0_21
| spl0_22
| spl0_23
| ~ spl0_83 ),
inference(rat,[],[s68,s249,s162]) ).
cnf(s679,plain,
( spl0_83
| spl0_84
| spl0_86
| ~ spl0_140
| spl0_145 ),
inference(rat,[],[s67,s258,s259]) ).
cnf(s682,plain,
( ~ spl0_47
| spl0_140
| spl0_142
| spl0_144 ),
inference(rat,[],[s61,s147,s62,s65]) ).
cnf(s685,plain,
( ~ spl0_97
| spl0_104
| spl0_105
| spl0_106
| spl0_139 ),
inference(rat,[],[s52,s148,s124]) ).
cnf(s688,plain,
( ~ spl0_44
| spl0_73
| spl0_74
| spl0_75 ),
inference(rat,[],[s42,s65,s90,s114]) ).
cnf(s690,plain,
( spl0_54
| spl0_124
| spl0_125
| spl0_127
| spl0_128 ),
inference(rat,[],[s39,s56]) ).
cnf(s693,plain,
( ~ spl0_56
| spl0_87
| spl0_89
| spl0_91
| spl0_123 ),
inference(rat,[],[s34,s77,s290]) ).
cnf(s694,plain,
( ~ spl0_55
| spl0_83
| spl0_84
| spl0_86
| spl0_123 ),
inference(rat,[],[s33,s258,s259]) ).
cnf(s695,plain,
( ~ spl0_52
| spl0_118
| spl0_119
| spl0_120 ),
inference(rat,[],[s31,s200,s254,s122]) ).
cnf(s696,plain,
( ~ spl0_51
| spl0_113
| spl0_114
| spl0_116 ),
inference(rat,[],[s30,s304,s298,s122]) ).
cnf(s697,plain,
( ~ spl0_50
| spl0_108
| spl0_110
| spl0_111 ),
inference(rat,[],[s29,s234,s235,s122]) ).
cnf(s698,plain,
( ~ spl0_49
| spl0_104
| spl0_105
| spl0_106 ),
inference(rat,[],[s28,s148,s124,s122]) ).
cnf(s699,plain,
( ~ spl0_43
| spl0_97
| spl0_98
| spl0_99 ),
inference(rat,[],[s27,s300,s302,s58]) ).
cnf(s700,plain,
( ~ spl0_41
| spl0_92
| spl0_93
| spl0_96 ),
inference(rat,[],[s25,s163,s164,s58]) ).
cnf(s701,plain,
( ~ spl0_40
| spl0_87
| spl0_89
| spl0_91 ),
inference(rat,[],[s24,s77,s290,s58]) ).
cnf(s702,plain,
( ~ spl0_39
| spl0_83
| spl0_84
| spl0_86 ),
inference(rat,[],[s23,s258,s259,s58]) ).
cnf(s703,plain,
( ~ spl0_10
| spl0_54
| spl0_76
| spl0_77
| spl0_79 ),
inference(rat,[],[s22,s227,s228]) ).
cnf(s705,plain,
( ~ spl0_7
| spl0_54
| spl0_65
| spl0_68
| spl0_69 ),
inference(rat,[],[s18,s166,s20]) ).
cnf(s706,plain,
( ~ spl0_6
| spl0_54
| spl0_61
| spl0_63
| spl0_64 ),
inference(rat,[],[s16,s309,s17]) ).
cnf(s707,plain,
( ~ spl0_9
| spl0_55
| spl0_56
| spl0_59 ),
inference(rat,[],[s14,s37,s35,s15]) ).
cnf(s709,plain,
( ~ spl0_1
| spl0_5
| spl0_44
| spl0_46
| spl0_47
| spl0_48 ),
inference(rat,[],[s12,s43]) ).
cnf(s710,plain,
( ~ spl0_3
| spl0_5
| spl0_39
| spl0_40
| spl0_41
| spl0_43 ),
inference(rat,[],[s11,s26]) ).
cnf(s711,plain,
( ~ spl0_16
| spl0_35
| spl0_36
| spl0_37 ),
inference(rat,[],[s10,s314,s313,s45]) ).
cnf(s712,plain,
( ~ spl0_15
| spl0_30
| spl0_31
| spl0_33 ),
inference(rat,[],[s9,s281,s279,s45]) ).
cnf(s713,plain,
( ~ spl0_14
| spl0_25
| spl0_27
| spl0_28 ),
inference(rat,[],[s8,s245,s243,s45]) ).
cnf(s714,plain,
( ~ spl0_13
| spl0_21
| spl0_22
| spl0_23 ),
inference(rat,[],[s7,s249,s162,s45]) ).
cnf(s716,plain,
( spl0_11
| spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(rat,[],[s3,s6]) ).
cnf(s717,plain,
( ~ spl0_2
| spl0_6
| spl0_7
| spl0_9
| spl0_10 ),
inference(rat,[],[s2,s21,s5]) ).
cnf(s718,plain,
( ~ spl0_64
| spl0_31
| spl0_35
| spl0_2 ),
inference(rat,[],[s642,s630,s612,s245]) ).
cnf(s719,plain,
( ~ spl0_15
| ~ spl0_10
| spl0_51
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s674,s567,s573,s718,s348,s395,s274,s697,s629,s700,s192,s569,s653,s499,s492,s127,s381,s628,s677,s204,s150,s206,s312,s328,s203,s51,s78,s85,s116,s153,s533,s455,s413,s151,s209,s199,s169,s103,s309,s17,s314,s124,s148,s21,s122,s26,s58,s32,s6]) ).
cnf(s720,plain,
( ~ spl0_50
| spl0_41
| spl0_43
| ~ spl0_4 ),
inference(rat,[],[s381,s499,s204,s150,s26]) ).
cnf(s721,plain,
( ~ spl0_14
| ~ spl0_10
| spl0_7
| spl0_51
| ~ spl0_4 ),
inference(rat,[],[s690,s60,s108,s381,s675,s607,s202,s184,s196,s328,s720,s208,s210,s215,s217,s151,s115,s384,s169,s15,s43,s54,s65,s32,s21,s6]) ).
cnf(s722,plain,
( ~ spl0_10
| spl0_7
| spl0_51
| ~ spl0_4
| spl0_2 ),
inference(rat,[],[s642,s405,s612,s667,s388,s452,s400,s597,s395,s396,s671,s181,s386,s695,s129,s391,s653,s87,s190,s239,s381,s675,s607,s184,s501,s196,s328,s172,s173,s194,s350,s402,s520,s721,s719,s103,s209,s237,s384,s455,s413,s151,s115,s245,s17,s279,s281,s314,s124,s148,s65,s21,s43,s106,s122,s32,s6]) ).
cnf(s723,plain,
( spl0_31
| ~ spl0_113
| spl0_61
| spl0_33
| spl0_30
| spl0_128
| spl0_35
| spl0_2 ),
inference(rat,[],[s335,s388,s718,s309,s17,s279,s281]) ).
cnf(s724,plain,
( spl0_7
| spl0_6
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s678,s694,s365,s631,s661,s283,s723,s640,s348,s603,s395,s394,s697,s707,s336,s318,s334,s406,s653,s690,s344,s699,s471,s424,s457,s536,s374,s205,s675,s720,s713,s208,s210,s215,s217,s260,s268,s275,s331,s127,s520,s522,s469,s677,s379,s628,s600,s204,s150,s194,s294,s312,s206,s328,s94,s224,s338,s342,s346,s357,s383,s722,s455,s413,s151,s115,s439,s1,s281,s314,s124,s148,s114,s90,s122,s15,s32,s65,s21,s71,s58,s26,s6]) ).
cnf(s725,plain,
( ~ spl0_14
| spl0_123
| ~ spl0_39
| spl0_9
| spl0_147
| spl0_37
| spl0_25
| ~ spl0_4
| spl0_3
| spl0_1 ),
inference(rat,[],[s432,s620,s430,s406,s283,s611,s652,s458,s702,s341,s412,s677,s713,s214,s260,s268,s455,s279,s281,s249,s114,s90,s58]) ).
cnf(s726,plain,
( spl0_6
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s129,s133,s653,s109,s565,s675,s197,s530,s561,s520,s725,s381,s505,s607,s153,s184,s342,s483,s501,s328,s99,s168,s216,s577,s609,s724,s439,s151,s115,s1,s43,s106,s122,s65,s32,s26,s6]) ).
cnf(s727,plain,
( ~ spl0_16
| spl0_47
| spl0_123
| spl0_147
| spl0_46
| spl0_52
| spl0_44 ),
inference(rat,[],[s677,s673,s522,s530,s58,s43]) ).
cnf(s728,plain,
( spl0_47
| spl0_123
| spl0_15
| spl0_147
| spl0_14
| spl0_46
| spl0_41
| spl0_52
| spl0_39
| spl0_44 ),
inference(rat,[],[s673,s117,s677,s499,s195,s157,s520,s727,s43,s58,s26]) ).
cnf(s729,plain,
( spl0_15
| ~ spl0_6
| ~ spl0_4
| spl0_3
| spl0_2 ),
inference(rat,[],[s651,s545,s639,s364,s458,s718,s630,s706,s296,s317,s690,s714,s183,s378,s402,s520,s522,s677,s319,s222,s229,s728,s325,s455,s413,s451,s382,s221,s155,s156,s328,s607,s81,s151,s204,s449,s442,s281,s259,s258,s15,s58,s26,s32,s6,s21]) ).
cnf(s730,plain,
( ~ spl0_145
| spl0_47
| spl0_46
| spl0_52
| spl0_44 ),
inference(rat,[],[s119,s673,s43]) ).
cnf(s731,plain,
( ~ spl0_61
| spl0_31
| spl0_23
| spl0_2 ),
inference(rat,[],[s674,s567,s321,s245]) ).
cnf(s732,plain,
( spl0_31
| spl0_161
| spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s658,s634,s670,s109,s653,s701,s120,s486,s60,s690,s138,s533,s499,s457,s712,s364,s387,s404,s718,s706,s731,s455,s413,s155,s134,s85,s566,s451,s578,s677,s730,s78,s382,s156,s328,s607,s81,s151,s204,s449,s442,s51,s729,s726,s1,s122,s32,s43,s54,s15,s26,s249,s6,s58,s21]) ).
cnf(s733,plain,
( ~ spl0_127
| spl0_70
| ~ spl0_15
| spl0_46
| spl0_130 ),
inference(rat,[],[s76,s675,s138,s108,s65]) ).
cnf(s734,plain,
( spl0_3
| spl0_2
| spl0_1 ),
inference(rat,[],[s557,s651,s435,s368,s396,s678,s395,s316,s365,s631,s392,s603,s642,s696,s405,s475,s317,s653,s732,s533,s589,s117,s120,s530,s706,s60,s334,s690,s733,s323,s566,s78,s85,s116,s444,s729,s156,s155,s377,s382,s451,s328,s607,s204,s81,s442,s449,s453,s726,s115,s151,s413,s455,s1,s6,s21,s54,s43,s15,s32,s122,s281,s148,s124,s314,s200,s254,s258,s259]) ).
cnf(s735,plain,
( ~ spl0_4
| spl0_6
| ~ spl0_3 ),
inference(rat,[],[s720,s328,s470,s439,s607,s151,s188,s480,s32,s6]) ).
cnf(s736,plain,
( spl0_31
| ~ spl0_74
| spl0_64
| spl0_36
| spl0_30
| spl0_2
| spl0_1 ),
inference(rat,[],[s731,s587,s262,s619,s432,s734,s17,s309,s279,s281]) ).
cnf(s737,plain,
( ~ spl0_44
| spl0_52
| spl0_15
| spl0_6
| spl0_2
| spl0_1 ),
inference(rat,[],[s674,s580,s584,s317,s399,s736,s688,s464,s696,s675,s393,s141,s354,s653,s677,s707,s339,s338,s357,s383,s527,s421,s197,s209,s522,s530,s561,s562,s690,s520,s509,s138,s155,s221,s377,s382,s328,s150,s157,s498,s559,s604,s499,s470,s379,s555,s438,s188,s107,s480,s734,s309,s17,s245,s65,s122,s58,s26,s21,s32,s15,s6]) ).
cnf(s738,plain,
( spl0_46
| ~ spl0_9
| spl0_47
| spl0_44
| spl0_52
| spl0_15
| spl0_41
| ~ spl0_3 ),
inference(rat,[],[s215,s565,s675,s653,s554,s331,s332,s728,s129,s107,s424,s169,s117,s212,s470,s499,s188,s338,s600,s613,s65,s122,s43,s106,s26,s6,s32]) ).
cnf(s739,plain,
( ~ spl0_9
| spl0_127
| spl0_47
| spl0_44
| spl0_52
| spl0_15
| spl0_41
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s388,s431,s587,s718,s284,s570,s693,s458,s257,s466,s429,s288,s427,s699,s707,s426,s492,s421,s677,s690,s195,s378,s402,s152,s520,s181,s210,s386,s738,s338,s438,s536,s500,s457,s428,s212,s470,s499,s613,s188,s279,s281,s17,s309,s164,s163,s259,s258,s58,s15,s21,s26,s6]) ).
cnf(s740,plain,
( spl0_9
| spl0_47
| spl0_147
| spl0_10
| spl0_16
| spl0_44
| spl0_52
| spl0_15
| spl0_6 ),
inference(rat,[],[s730,s677,s210,s214,s520,s505,s168,s383,s58,s21]) ).
cnf(s741,plain,
( spl0_47
| spl0_44
| spl0_52
| spl0_15
| spl0_6
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s471,s382,s739,s738,s740,s500,s169,s212,s470,s499,s613,s480,s188,s6,s26]) ).
cnf(s742,plain,
( ~ spl0_75
| spl0_35
| spl0_25
| spl0_37
| spl0_1 ),
inference(rat,[],[s661,s611]) ).
cnf(s743,plain,
( spl0_52
| spl0_15
| spl0_6
| spl0_2
| spl0_1 ),
inference(rat,[],[s674,s580,s573,s283,s317,s399,s432,s436,s742,s375,s570,s361,s458,s257,s466,s429,s293,s699,s482,s578,s585,s682,s690,s677,s471,s594,s208,s214,s221,s260,s268,s554,s520,s99,s168,s508,s609,s383,s319,s222,s224,s741,s212,s428,s169,s457,s459,s470,s500,s499,s613,s737,s438,s434,s188,s107,s480,s734,s309,s17,s245,s279,s281,s114,s90,s290,s77,s164,s163,s259,s258,s15,s58,s110,s21,s43,s26,s6]) ).
cnf(s744,plain,
( ~ spl0_33
| ~ spl0_76
| spl0_105
| spl0_161
| spl0_28
| spl0_4
| spl0_22 ),
inference(rat,[],[s657,s348,s664,s262,s597,s314]) ).
cnf(s745,plain,
( spl0_15
| spl0_6
| spl0_2
| spl0_1 ),
inference(rat,[],[s657,s581,s664,s400,s317,s432,s744,s688,s703,s113,s360,s675,s690,s138,s215,s208,s210,s268,s275,s520,s196,s103,s209,s242,s383,s150,s157,s498,s559,s613,s499,s470,s202,s342,s410,s504,s743,s438,s188,s107,s480,s735,s734,s314,s279,s281,s15,s65,s21,s32,s26,s6]) ).
cnf(s746,plain,
( ~ spl0_44
| ~ spl0_15
| spl0_6
| ~ spl0_3 ),
inference(rat,[],[s653,s127,s527,s103,s209,s384,s383,s498,s533,s499,s470,s555,s188,s480,s94,s122,s32,s21,s26,s6]) ).
cnf(s747,plain,
( spl0_6
| spl0_2
| spl0_1 ),
inference(rat,[],[s99,s675,s383,s554,s169,s470,s76,s499,s613,s746,s94,s444,s745,s480,s188,s107,s734,s43,s65,s21,s26,s6]) ).
cnf(s748,plain,
( ~ spl0_50
| spl0_15
| spl0_2
| spl0_1 ),
inference(rat,[],[s658,s634,s367,s436,s241,s620,s388,s431,s706,s334,s261,s690,s711,s562,s616,s520,s718,s205,s194,s312,s434,s569,s451,s217,s192,s180,s499,s613,s449,s470,s472,s747,s188,s734,s249,s114,s90,s279,s281,s15,s6,s26,s21]) ).
cnf(s749,plain,
( ~ spl0_13
| spl0_130
| spl0_4
| spl0_47
| spl0_147
| spl0_158
| spl0_123
| ~ spl0_6
| ~ spl0_3
| spl0_2 ),
inference(rat,[],[s452,s388,s665,s619,s660,s706,s369,s511,s545,s261,s482,s429,s714,s690,s466,s120,s347,s637,s700,s666,s673,s492,s271,s677,s675,s183,s195,s172,s350,s378,s402,s438,s434,s107,s450,s569,s451,s192,s180,s499,s613,s449,s470,s472,s188,s279,s281,s15,s259,s258,s32,s65,s43,s58,s6,s26,s21]) ).
cnf(s750,plain,
( spl0_15
| spl0_2
| spl0_1 ),
inference(rat,[],[s561,s675,s520,s323,s749,s416,s607,s184,s483,s485,s328,s748,s325,s107,s451,s217,s499,s613,s449,s470,s472,s747,s188,s734,s65,s26,s32,s6]) ).
cnf(s751,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s653,s589,s129,s616,s347,s690,s674,s321,s334,s193,s706,s203,s718,s677,s205,s312,s206,s730,s328,s533,s51,s78,s85,s153,s750,s180,s192,s451,s569,s499,s613,s470,s449,s472,s747,s188,s438,s734,s6,s21,s26,s32,s58,s245,s15,s106,s43,s122]) ).
cnf(s752,plain,
( ~ spl0_44
| spl0_52
| spl0_15
| ~ spl0_2 ),
inference(rat,[],[s500,s520,s499,s221,s451,s328,s168,s498,s577,s383,s521,s207,s381,s555,s72,s26,s32,s21,s6]) ).
cnf(s753,plain,
( ~ spl0_43
| spl0_128
| spl0_124
| spl0_46
| spl0_51
| spl0_47
| spl0_44 ),
inference(rat,[],[s690,s60,s471,s117,s15,s43,s54]) ).
cnf(s754,plain,
( ~ spl0_14
| spl0_139
| ~ spl0_9
| spl0_10
| spl0_49
| spl0_44
| spl0_52 ),
inference(rat,[],[s129,s120,s653,s339,s753,s205,s328,s208,s210,s221,s331,s224,s43,s106,s32,s122,s21]) ).
cnf(s755,plain,
( spl0_49
| spl0_16
| spl0_52
| spl0_15
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s368,s371,s651,s644,s511,s431,s619,s653,s365,s352,s339,s714,s354,s702,s117,s120,s347,s707,s256,s60,s318,s677,s690,s183,s730,s439,s155,s382,s328,s195,s194,s350,s378,s402,s520,s189,s754,s190,s307,s224,s338,s346,s521,s383,s207,s473,s376,s351,s72,s531,s752,s148,s122,s245,s17,s309,s32,s43,s54,s58,s15,s21,s26,s6]) ).
cnf(s756,plain,
( ~ spl0_14
| spl0_123
| spl0_48
| spl0_9
| spl0_147
| spl0_44 ),
inference(rat,[],[s673,s222,s677,s210,s214,s43,s26,s58]) ).
cnf(s757,plain,
( spl0_16
| spl0_52
| spl0_15
| spl0_3
| ~ spl0_2 ),
inference(rat,[],[s369,s660,s558,s633,s652,s370,s630,s405,s418,s262,s352,s653,s714,s358,s223,s229,s703,s60,s360,s690,s183,s180,s192,s499,s173,s157,s350,s378,s402,s520,s152,s756,s203,s103,s169,s242,s384,s717,s521,s151,s211,s212,s474,s755,s473,s376,s351,s72,s531,s752,s259,s258,s124,s148,s245,s17,s309,s122,s15,s43,s54,s21,s26,s32,s6]) ).
cnf(s758,plain,
( ~ spl0_14
| spl0_49
| spl0_47
| spl0_123
| ~ spl0_16
| spl0_44
| spl0_52 ),
inference(rat,[],[s206,s727,s328,s210,s221,s32]) ).
cnf(s759,plain,
( spl0_46
| ~ spl0_9
| ~ spl0_16
| spl0_44
| spl0_52 ),
inference(rat,[],[s600,s675,s527,s109,s561,s653,s206,s141,s129,s727,s530,s197,s338,s224,s339,s500,s65,s122,s43,s106,s26,s32]) ).
cnf(s760,plain,
( spl0_52
| spl0_15
| spl0_3
| spl0_1 ),
inference(rat,[],[s356,s432,s548,s431,s619,s651,s352,s369,s308,s702,s707,s341,s365,s482,s513,s677,s711,s690,s206,s312,s616,s328,s181,s382,s759,s189,s758,s211,s307,s224,s338,s346,s521,s383,s209,s522,s562,s563,s757,s531,s752,s473,s376,s351,s72,s751,s114,s90,s279,s281,s245,s17,s309,s58,s15,s32,s21,s26,s6]) ).
cnf(s761,plain,
( spl0_15
| spl0_3
| spl0_1 ),
inference(rat,[],[s678,s571,s558,s425,s511,s658,s634,s356,s344,s675,s387,s561,s711,s562,s563,s520,s214,s677,s416,s379,s505,s99,s168,s498,s531,s577,s609,s383,s207,s184,s342,s483,s501,s504,s760,s473,s376,s72,s751,s281,s259,s258,s114,s90,s65,s58,s43,s21,s26,s6]) ).
cnf(s762,plain,
( ~ spl0_44
| ~ spl0_15
| spl0_1 ),
inference(rat,[],[s685,s633,s657,s658,s580,s567,s548,s352,s688,s446,s387,s699,s113,s705,s712,s426,s733,s537,s424,s457,s677,s690,s509,s566,s499,s156,s439,s155,s221,s382,s451,s467,s328,s505,s99,s498,s577,s609,s383,s207,s381,s514,s555,s473,s376,s351,s72,s751,s153,s134,s116,s94,s85,s78,s51,s245,s17,s309,s15,s32,s58,s26,s21,s43,s6]) ).
cnf(s763,plain,
( ~ spl0_14
| spl0_39
| spl0_163
| spl0_161
| spl0_43
| spl0_48
| spl0_44
| spl0_47 ),
inference(rat,[],[s653,s527,s129,s499,s210,s217,s122,s43,s106,s26]) ).
cnf(s764,plain,
( spl0_46
| spl0_130
| ~ spl0_10
| spl0_44
| ~ spl0_15 ),
inference(rat,[],[s675,s196,s76,s206,s527,s109,s677,s653,s730,s129,s78,s51,s384,s103,s203,s153,s533,s169,s65,s58,s122,s43,s106,s32,s26]) ).
cnf(s765,plain,
( ~ spl0_15
| spl0_1 ),
inference(rat,[],[s658,s634,s356,s232,s479,s661,s88,s630,s405,s354,s446,s352,s671,s401,s610,s703,s675,s108,s246,s537,s196,s690,s559,s604,s206,s566,s499,s677,s180,s181,s182,s764,s152,s763,s554,s211,s474,s533,s207,s203,s103,s169,s237,s242,s384,s717,s531,s762,s51,s78,s85,s94,s134,s153,s444,s473,s376,s351,s72,s751,s114,s90,s20,s166,s35,s37,s245,s17,s309,s65,s15,s26,s58,s21,s32,s6]) ).
cnf(s766,plain,
( spl0_49
| spl0_1 ),
inference(rat,[],[s498,s710,s383,s470,s207,s480,s72,s521,s188,s761,s765,s751,s5,s21,s6]) ).
cnf(s767,plain,
spl0_1,
inference(rat,[],[s169,s717,s710,s531,s613,s555,s766,s521,s480,s188,s761,s765,s72,s751,s5,s6]) ).
cnf(s768,plain,
~ spl0_35,
inference(rat,[],[s311,s767]) ).
cnf(s769,plain,
~ spl0_30,
inference(rat,[],[s278,s767]) ).
cnf(s770,plain,
~ spl0_25,
inference(rat,[],[s240,s767]) ).
cnf(s771,plain,
~ spl0_44,
inference(rat,[],[s126,s6,s767]) ).
cnf(s772,plain,
( spl0_31
| spl0_33
| ~ spl0_113
| spl0_128
| spl0_36
| spl0_2 ),
inference(rat,[],[s580,s731,s723,s769,s768]) ).
cnf(s773,plain,
( ~ spl0_7
| ~ spl0_47
| spl0_49
| spl0_15
| spl0_2 ),
inference(rat,[],[s674,s580,s646,s399,s772,s632,s273,s397,s620,s270,s579,s645,s267,s363,s682,s174,s420,s675,s696,s109,s475,s446,s653,s705,s223,s422,s561,s197,s500,s562,s690,s520,s189,s319,s155,s221,s377,s451,s328,s565,s99,s168,s535,s577,s564,s230,s229,s184,s238,s327,s17,s767,s245,s96,s131,s276,s136,s768,s114,s90,s65,s122,s15,s32,s21,s43]) ).
cnf(s774,plain,
( spl0_49
| spl0_3
| spl0_15
| spl0_6
| spl0_2 ),
inference(rat,[],[s718,s667,s317,s321,s678,s643,s273,s236,s270,s579,s645,s251,s682,s266,s271,s675,s108,s296,s690,s702,s697,s205,s141,s256,s319,s328,s756,s215,s208,s217,s221,s260,s268,s160,s173,s253,s653,s223,s190,s203,s103,s169,s209,s237,s383,s773,s238,s327,s184,s224,s229,s231,s709,s564,s132,s768,s17,s245,s136,s96,s131,s114,s90,s767,s65,s15,s32,s771,s21,s6,s106,s122,s5]) ).
cnf(s775,plain,
( ~ spl0_49
| spl0_15
| spl0_6
| spl0_2 ),
inference(rat,[],[s388,s667,s317,s321,s657,s175,s445,s534,s251,s606,s645,s579,s666,s266,s271,s482,s675,s690,s215,s698,s701,s138,s498,s109,s418,s241,s499,s637,s653,s713,s208,s217,s221,s268,s275,s331,s554,s716,s195,s525,s462,s677,s339,s338,s346,s419,s740,s117,s120,s347,s384,s486,s530,s730,s709,s327,s151,s211,s212,s504,s568,s132,s279,s769,s281,s17,s245,s62,s147,s96,s131,s114,s90,s767,s65,s15,s26,s122,s770,s21,s83,s71,s58,s771,s32,s5,s6]) ).
cnf(s776,plain,
( spl0_15
| spl0_6
| spl0_2 ),
inference(rat,[],[s327,s188,s709,s774,s564,s775,s132,s767,s6,s5,s771]) ).
cnf(s777,plain,
( spl0_6
| spl0_2 ),
inference(rat,[],[s573,s700,s731,s718,s574,s569,s677,s733,s499,s505,s99,s498,s508,s383,s554,s211,s117,s347,s384,s564,s730,s709,s51,s78,s85,s94,s153,s444,s776,s132,s309,s17,s768,s58,s26,s43,s21,s767,s771,s5]) ).
cnf(s778,plain,
( spl0_52
| spl0_15
| ~ spl0_6 ),
inference(rat,[],[s522,s677,s520,s206,s194,s328,s382,s210,s182,s709,s327,s81,s564,s472,s442,s325,s58,s32,s767,s771,s5]) ).
cnf(s779,plain,
( spl0_15
| spl0_2 ),
inference(rat,[],[s665,s660,s643,s634,s447,s645,s270,s644,s671,s262,s425,s581,s420,s731,s675,s706,s561,s108,s296,s150,s690,s283,s612,s133,s499,s616,s711,s209,s500,s562,s323,s716,s195,s525,s677,s607,s202,s483,s485,s501,s778,s325,s484,s382,s210,s182,s442,s181,s180,s709,s327,s81,s564,s472,s777,s770,s136,s769,s114,s90,s767,s65,s314,s15,s245,s26,s768,s83,s71,s58,s771,s5,s21]) ).
cnf(s780,plain,
spl0_2,
inference(rat,[],[s679,s651,s175,s548,s363,s645,s652,s606,s365,s412,s571,s671,s674,s87,s580,s675,s706,s177,s482,s283,s690,s712,s471,s457,s459,s470,s499,s76,s150,s328,s323,s566,s85,s134,s153,s444,s779,s180,s181,s182,s382,s386,s709,s327,s564,s81,s442,s472,s484,s777,s770,s62,s147,s768,s114,s90,s767,s281,s65,s15,s769,s26,s32,s21,s5,s771]) ).
cnf(s784,plain,
~ spl0_6,
inference(rat,[],[s72,s6,s780]) ).
cnf(s785,plain,
~ spl0_7,
inference(rat,[],[s531,s771,s780]) ).
cnf(s786,plain,
~ spl0_46,
inference(rat,[],[s132,s767,s784]) ).
cnf(s787,plain,
spl0_49,
inference(rat,[],[s224,s717,s709,s207,s564,s785,s784,s780,s5,s767,s771,s786]) ).
cnf(s792,plain,
~ spl0_39,
inference(rat,[],[s211,s787]) ).
cnf(s794,plain,
~ spl0_47,
inference(rat,[],[s327,s767,s792]) ).
cnf(s795,plain,
~ spl0_9,
inference(rat,[],[s521,s780,s792]) ).
cnf(s796,plain,
spl0_48,
inference(rat,[],[s709,s786,s771,s767,s5,s794]) ).
cnf(s798,plain,
spl0_10,
inference(rat,[],[s717,s780,s784,s785,s795]) ).
cnf(s803,plain,
$false,
inference(rat,[],[s384,s796,s798]) ).
fof(f9442,plain,
$false,
inference(avatar_sat_refutation,[],[s803]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP127-2.006 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n001.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:31:15 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.58/2.10 % (3291867)Input is clausal, will run a generic CNF schedule.
% 8.58/2.10 % (3291876)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4218477494:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.58/2.10 % (3291872)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=399615067:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.58/2.10 % (3291873)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3996621934:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.58/2.10 % (3291875)lrs+10_1_sil=8000:sp=occurrence:random_seed=1920884009:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.58/2.10 % (3291878)dis-21_1_sil=8000:lcm=predicate:random_seed=1931473570:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.58/2.10 % (3291874)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2892799156:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.58/2.11 % (3291877)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2656063617:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.58/2.11 % (3291876)Instruction limit reached!
% 8.58/2.11 % (3291876)------------------------------
% 8.58/2.11 % (3291876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.11 % (3291876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.11 % (3291876)CaDiCaL version: 2.1.3
% 8.58/2.11 % (3291876)Termination reason: Instruction limit
% 8.58/2.11 % (3291876)Termination phase: Saturation
% 8.58/2.11 % (3291876)Time elapsed: 0.031 s
% 8.58/2.11 % (3291876)Peak memory usage: 88 MB
% 8.58/2.11 % (3291876)Instructions burned: 114 (million)
% 8.58/2.11 % (3291875)Instruction limit reached!
% 8.58/2.11 % (3291875)------------------------------
% 8.58/2.11 % (3291875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.11 % (3291875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.11 % (3291875)CaDiCaL version: 2.1.3
% 8.58/2.11 % (3291875)Termination reason: Instruction limit
% 8.58/2.11 % (3291875)Termination phase: Saturation
% 8.58/2.11 % (3291875)Time elapsed: 0.059 s
% 8.58/2.11 % (3291875)Peak memory usage: 88 MB
% 8.58/2.11 % (3291875)Instructions burned: 109 (million)
% 8.58/2.11 % (3291877)Instruction limit reached!
% 8.58/2.11 % (3291877)------------------------------
% 8.58/2.11 % (3291877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.11 % (3291877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.11 % (3291877)CaDiCaL version: 2.1.3
% 8.58/2.11 % (3291877)Termination reason: Instruction limit
% 8.58/2.11 % (3291877)Termination phase: Saturation
% 8.58/2.11 % (3291877)Time elapsed: 0.064 s
% 8.58/2.11 % (3291877)Peak memory usage: 89 MB
% 8.58/2.11 % (3291877)Instructions burned: 181 (million)
% 8.58/2.11 % (3291878)Instruction limit reached!
% 8.58/2.11 % (3291878)------------------------------
% 8.58/2.11 % (3291878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.11 % (3291878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.11 % (3291878)CaDiCaL version: 2.1.3
% 8.58/2.11 % (3291878)Termination reason: Instruction limit
% 8.58/2.11 % (3291878)Termination phase: Saturation
% 8.58/2.11 % (3291878)Time elapsed: 0.076 s
% 8.58/2.11 % (3291878)Peak memory usage: 89 MB
% 8.58/2.11 % (3291878)Instructions burned: 117 (million)
% 8.58/2.11 % (3291886)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2724092117:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.58/2.11 % (3291888)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=454278203:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.58/2.11 % (3291887)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=701850100:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.58/2.11 % (3291887)Refutation not found, incomplete strategy
% 8.58/2.11 % (3291887)------------------------------
% 8.58/2.11 % (3291887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.33/2.94 % (3291887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.94 % (3291887)CaDiCaL version: 2.1.3
% 13.33/2.94 % (3291887)Termination reason: Refutation not found, incomplete strategy
% 13.33/2.94 % (3291887)Time elapsed: 0.002 s
% 13.33/2.94 % (3291887)Peak memory usage: 87 MB
% 13.33/2.94 % (3291887)Instructions burned: 2 (million)
% 13.33/2.94 % (3291889)lrs+10_64_to=lpo:sil=8000:random_seed=3337423491:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 13.33/2.94 % (3291886)Instruction limit reached!
% 13.33/2.94 % (3291886)------------------------------
% 13.33/2.94 % (3291886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.33/2.94 % (3291886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.94 % (3291886)CaDiCaL version: 2.1.3
% 13.33/2.94 % (3291886)Termination reason: Instruction limit
% 13.33/2.94 % (3291886)Termination phase: Saturation
% 13.33/2.94 % (3291886)Time elapsed: 0.081 s
% 13.33/2.94 % (3291886)Peak memory usage: 88 MB
% 13.33/2.94 % (3291886)Instructions burned: 143 (million)
% 13.33/2.94 % (3291888)Instruction limit reached!
% 13.33/2.94 % (3291888)------------------------------
% 13.33/2.94 % (3291888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.33/2.94 % (3291888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.94 % (3291888)CaDiCaL version: 2.1.3
% 13.33/2.94 % (3291888)Termination reason: Instruction limit
% 13.33/2.94 % (3291888)Termination phase: Saturation
% 13.33/2.94 % (3291888)Time elapsed: 0.062 s
% 13.33/2.94 % (3291888)Peak memory usage: 88 MB
% 13.33/2.94 % (3291888)Instructions burned: 223 (million)
% 13.33/2.94 % (3291889)Instruction limit reached!
% 13.33/2.94 % (3291889)------------------------------
% 13.33/2.94 % (3291889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.33/2.94 % (3291889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.94 % (3291889)CaDiCaL version: 2.1.3
% 13.33/2.94 % (3291889)Termination reason: Instruction limit
% 13.33/2.94 % (3291889)Termination phase: Saturation
% 13.33/2.94 % (3291889)Time elapsed: 0.076 s
% 13.33/2.94 % (3291889)Peak memory usage: 88 MB
% 13.33/2.94 % (3291889)Instructions burned: 126 (million)
% 13.33/2.94 % (3291895)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3652337724:i=157:gtg=all_2996 on theBenchmark for (2996ds/157Mi)
% 13.33/2.94 % (3291894)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4031385877:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 13.33/2.94 % (3291895)Instruction limit reached!
% 13.33/2.94 % (3291895)------------------------------
% 13.33/2.94 % (3291895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.33/2.94 % (3291895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.94 % (3291895)CaDiCaL version: 2.1.3
% 13.33/2.94 % (3291895)Termination reason: Instruction limit
% 13.33/2.94 % (3291895)Termination phase: Saturation
% 13.33/2.94 % (3291895)Time elapsed: 0.045 s
% 13.33/2.94 % (3291895)Peak memory usage: 89 MB
% 13.33/2.94 % (3291895)Instructions burned: 157 (million)
% 13.33/2.94 % (3291896)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=803971649:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 13.33/2.94 % (3291887)------------------------------
% 13.33/2.94 % (3291887)------------------------------
% 13.33/2.94 % (3291894)Instruction limit reached!
% 13.33/2.94 % (3291894)------------------------------
% 13.33/2.94 % (3291894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.33/2.94 % (3291894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.33/2.94 % (3291894)CaDiCaL version: 2.1.3
% 13.33/2.94 % (3291894)Termination reason: Instruction limit
% 13.33/2.94 % (3291894)Termination phase: Saturation
% 13.33/2.94 % (3291894)Time elapsed: 0.103 s
% 13.33/2.94 % (3291894)Peak memory usage: 88 MB
% 13.33/2.94 % (3291894)Instructions burned: 194 (million)
% 13.33/2.94 % (3291899)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=4277964031:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 13.33/2.94 % (3291899)Refutation not found, incomplete strategy
% 13.33/2.94 % (3291899)------------------------------
% 13.33/2.94 % (3291899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.33/2.94 % (3291899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.21 % (3291899)CaDiCaL version: 2.1.3
% 14.99/3.21 % (3291899)Termination reason: Refutation not found, incomplete strategy
% 14.99/3.21 % (3291899)Time elapsed: 0.003 s
% 14.99/3.21 % (3291899)Peak memory usage: 87 MB
% 14.99/3.21 % (3291899)Instructions burned: 12 (million)
% 14.99/3.21 % (3291901)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1613913232:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 14.99/3.21 % (3291903)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2325567490:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 14.99/3.21 % (3291899)------------------------------
% 14.99/3.21 % (3291899)------------------------------
% 14.99/3.21 % (3291873)Refutation not found, incomplete strategy
% 14.99/3.21 % (3291873)------------------------------
% 14.99/3.21 % (3291873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.21 % (3291873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.21 % (3291873)CaDiCaL version: 2.1.3
% 14.99/3.21 % (3291873)Termination reason: Refutation not found, incomplete strategy
% 14.99/3.21 % (3291873)Time elapsed: 0.641 s
% 14.99/3.21 % (3291873)Peak memory usage: 127 MB
% 14.99/3.21 % (3291873)Instructions burned: 952 (million)
% 14.99/3.21 % (3291901)Instruction limit reached!
% 14.99/3.21 % (3291901)------------------------------
% 14.99/3.21 % (3291901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.21 % (3291901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.21 % (3291901)CaDiCaL version: 2.1.3
% 14.99/3.21 % (3291901)Termination reason: Instruction limit
% 14.99/3.21 % (3291901)Termination phase: Saturation
% 14.99/3.21 % (3291901)Time elapsed: 0.068 s
% 14.99/3.21 % (3291901)Peak memory usage: 88 MB
% 14.99/3.21 % (3291901)Instructions burned: 107 (million)
% 14.99/3.21 % (3291906)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3875111951:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 14.99/3.21 % (3291903)Instruction limit reached!
% 14.99/3.21 % (3291903)------------------------------
% 14.99/3.21 % (3291903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.21 % (3291903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.21 % (3291903)CaDiCaL version: 2.1.3
% 14.99/3.21 % (3291903)Termination reason: Instruction limit
% 14.99/3.21 % (3291903)Termination phase: Saturation
% 14.99/3.21 % (3291903)Time elapsed: 0.122 s
% 14.99/3.21 % (3291903)Peak memory usage: 88 MB
% 14.99/3.21 % (3291903)Instructions burned: 242 (million)
% 14.99/3.21 % (3291907)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1804006540:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 14.99/3.21 % (3291909)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2656887202:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 14.99/3.21 % (3291907)Instruction limit reached!
% 14.99/3.21 % (3291907)------------------------------
% 14.99/3.21 % (3291907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.21 % (3291907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.21 % (3291907)CaDiCaL version: 2.1.3
% 14.99/3.21 % (3291907)Termination reason: Instruction limit
% 14.99/3.21 % (3291907)Termination phase: Saturation
% 14.99/3.21 % (3291907)Time elapsed: 0.070 s
% 14.99/3.21 % (3291907)Peak memory usage: 88 MB
% 14.99/3.21 % (3291907)Instructions burned: 136 (million)
% 14.99/3.21 % (3291873)------------------------------
% 14.99/3.21 % (3291873)------------------------------
% 14.99/3.21 % (3291912)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1661539138:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 14.99/3.21 % (3291913)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3104107636:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 14.99/3.21 % (3291912)Instruction limit reached!
% 14.99/3.21 % (3291912)------------------------------
% 14.99/3.21 % (3291912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.21 % (3291912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.21 % (3291912)CaDiCaL version: 2.1.3
% 14.99/3.21 % (3291912)Termination reason: Instruction limit
% 14.99/3.21 % (3291912)Termination phase: Saturation
% 14.99/3.21 % (3291912)Time elapsed: 0.116 s
% 14.99/3.21 % (3291912)Peak memory usage: 89 MB
% 14.99/3.21 % (3291912)Instructions burned: 192 (million)
% 14.99/3.21 % (3291909)Instruction limit reached!
% 14.99/3.21 % (3291909)------------------------------
% 14.99/3.21 % (3291909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.21 % (3291909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.21 % (3291909)CaDiCaL version: 2.1.3
% 14.99/3.21 % (3291909)Termination reason: Instruction limit
% 14.99/3.21 % (3291909)Termination phase: Saturation
% 14.99/3.21 % (3291909)Time elapsed: 0.262 s
% 14.99/3.21 % (3291909)Peak memory usage: 89 MB
% 14.99/3.21 % (3291909)Instructions burned: 500 (million)
% 14.99/3.21 % (3291913)Instruction limit reached!
% 14.99/3.21 % (3291913)------------------------------
% 14.99/3.21 % (3291913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.21 % (3291913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.21 % (3291913)CaDiCaL version: 2.1.3
% 14.99/3.21 % (3291913)Termination reason: Instruction limit
% 14.99/3.21 % (3291913)Termination phase: Saturation
% 14.99/3.21 % (3291913)Time elapsed: 0.162 s
% 14.99/3.21 % (3291913)Peak memory usage: 90 MB
% 14.99/3.21 % (3291913)Instructions burned: 264 (million)
% 14.99/3.21 % (3291916)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3500253191:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 14.99/3.21 % (3291917)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3054503955:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 14.99/3.21 % (3291916)Instruction limit reached!
% 14.99/3.21 % (3291916)------------------------------
% 14.99/3.21 % (3291916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.21 % (3291916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.21 % (3291916)CaDiCaL version: 2.1.3
% 14.99/3.21 % (3291916)Termination reason: Instruction limit
% 14.99/3.21 % (3291916)Termination phase: Saturation
% 14.99/3.22 % (3291916)Time elapsed: 0.091 s
% 14.99/3.22 % (3291916)Peak memory usage: 88 MB
% 14.99/3.22 % (3291916)Instructions burned: 157 (million)
% 14.99/3.22 % (3291918)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2790355389:i=537:av=off:ss=included_2986 on theBenchmark for (2986ds/537Mi)
% 14.99/3.22 % (3291921)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2598887055:i=180:bd=preordered:av=off_2985 on theBenchmark for (2985ds/180Mi)
% 14.99/3.22 % (3291921)Instruction limit reached!
% 14.99/3.22 % (3291921)------------------------------
% 14.99/3.22 % (3291921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.22 % (3291921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.22 % (3291921)CaDiCaL version: 2.1.3
% 14.99/3.22 % (3291921)Termination reason: Instruction limit
% 14.99/3.22 % (3291921)Termination phase: Saturation
% 14.99/3.22 % (3291921)Time elapsed: 0.094 s
% 14.99/3.22 % (3291921)Peak memory usage: 87 MB
% 14.99/3.22 % (3291921)Instructions burned: 181 (million)
% 14.99/3.22 % (3291918)Instruction limit reached!
% 14.99/3.22 % (3291918)------------------------------
% 14.99/3.22 % (3291918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.22 % (3291918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.22 % (3291918)CaDiCaL version: 2.1.3
% 14.99/3.22 % (3291918)Termination reason: Instruction limit
% 14.99/3.22 % (3291918)Termination phase: Saturation
% 14.99/3.22 % (3291918)Time elapsed: 0.254 s
% 14.99/3.22 % (3291918)Peak memory usage: 88 MB
% 14.99/3.22 % (3291918)Instructions burned: 537 (million)
% 14.99/3.22 % (3291924)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=3444361217:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2983 on theBenchmark for (2983ds/10307Mi)
% 14.99/3.22 % (3291925)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=1872040734:i=412:gtgl=4:gtg=exists_all_2982 on theBenchmark for (2982ds/412Mi)
% 14.99/3.22 % (3291896)First to succeed.
% 14.99/3.22 % (3291925)Instruction limit reached!
% 14.99/3.22 % (3291925)------------------------------
% 14.99/3.22 % (3291925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.22 % (3291925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.22 % (3291925)CaDiCaL version: 2.1.3
% 14.99/3.22 % (3291925)Termination reason: Instruction limit
% 14.99/3.22 % (3291925)Termination phase: Saturation
% 14.99/3.22 % (3291925)Time elapsed: 0.204 s
% 14.99/3.22 % (3291925)Peak memory usage: 91 MB
% 14.99/3.22 % (3291925)Instructions burned: 414 (million)
% 14.99/3.22 % (3291896)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3291867"
% 14.99/3.22 % (3291906)Instruction limit reached!
% 14.99/3.22 % (3291906)------------------------------
% 14.99/3.22 % (3291906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.99/3.22 % (3291906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.99/3.22 % (3291906)CaDiCaL version: 2.1.3
% 14.99/3.22 % (3291906)Termination reason: Instruction limit
% 14.99/3.22 % (3291906)Termination phase: Saturation
% 14.99/3.22 % (3291906)Time elapsed: 1.281 s
% 14.99/3.22 % (3291906)Peak memory usage: 131 MB
% 14.99/3.22 % (3291906)Instructions burned: 5213 (million)
% 14.99/3.22 % (3291928)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=816351025:s2pl=no:i=8478:s2at=4:nm=6_2979 on theBenchmark for (2979ds/8478Mi)
% 14.99/3.22 % (3291929)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=745292097:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2978 on theBenchmark for (2978ds/303Mi)
% 14.99/3.22 % (3291929)Also succeeded, but the first one will report.
% 14.99/3.22 % (3291896)Refutation found. Thanks to Tanya!
% 14.99/3.22 % SZS status Unsatisfiable for theBenchmark
% 14.99/3.22 % SZS output start Proof for theBenchmark
% See solution above
% 17.11/3.36 % (3291896)------------------------------
% 17.11/3.36 % (3291896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.11/3.36 % (3291896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.11/3.36 % (3291896)CaDiCaL version: 2.1.3
% 17.11/3.36 % (3291896)Termination reason: Refutation
% 17.11/3.36 % (3291896)Time elapsed: 1.528 s
% 17.11/3.36 % (3291896)Peak memory usage: 137 MB
% 17.11/3.36 % (3291896)Instructions burned: 2144 (million)
% 17.11/3.36 % (3291896)------------------------------
% 17.11/3.36 % (3291896)------------------------------
% 17.11/3.36 % (3291867)Success in time 2.348 s
% 17.11/3.36 % Vampire exiting
%------------------------------------------------------------------------------