%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP124-3.004 : 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 : n006.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 10:12:41 AM UTC 2026
% Result : Unsatisfiable 3.13s 1.34s
% Output : Refutation 3.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 58
% Syntax : Number of formulae : 271 ( 69 unt; 36 def)
% Number of atoms : 584 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 582 ( 269 ~; 277 |; 0 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 40 ( 39 usr; 37 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 70 ( 0 sgn 70 !; 0 ?)
% 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,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f27,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f28,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f29,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f30,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f31,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
fof(f32,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f33,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f34,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f35,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f36,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f37,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f38,axiom,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f40,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f42,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f43,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( equalish(X0,X3)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_1) ).
fof(f44,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( equalish(X1,X4)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg2_2) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,e_1,X1)
| ~ product(X2,X3,e_1)
| ~ product(X2,X0,e_2)
| ~ product(X0,e_2,X1) ),
inference(resolution,[],[f26,f44]) ).
fof(f46,plain,
! [X2,X3,X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(X2,e_1,X3)
| ~ product(X2,e_2,X0)
| ~ product(e_1,X3,X1) ),
inference(resolution,[],[f26,f43]) ).
fof(f47,plain,
! [X0] :
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(factoring,[],[f45]) ).
fof(f50,definition,
( spl0_1
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f51,plain,
( product(e_1,e_2,e_2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f52,plain,
( ~ product(e_1,e_2,e_2)
| spl0_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f58,definition,
( spl0_3
<=> ! [X0] :
( ~ product(e_1,X0,e_2)
| ~ product(X0,e_2,e_1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f59,plain,
( ! [X0] :
( ~ product(e_1,X0,e_2)
| ~ product(X0,e_2,e_1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,definition,
( spl0_4
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f63,plain,
( ~ product(e_1,e_1,e_1)
| spl0_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f47,f61,f58]) ).
fof(f65,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,e_1,X1)
| ~ product(X2,X3,e_1)
| ~ product(X2,X0,e_3)
| ~ product(X0,e_3,X1) ),
inference(resolution,[],[f27,f44]) ).
fof(f67,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,e_1,X1)
| ~ product(X2,X3,e_1)
| ~ product(X2,X0,e_4)
| ~ product(X0,e_4,X1) ),
inference(resolution,[],[f28,f44]) ).
fof(f72,plain,
! [X0] :
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(factoring,[],[f46]) ).
fof(f74,definition,
( spl0_5
<=> ! [X0] :
( ~ product(e_2,e_1,X0)
| ~ product(e_1,X0,e_2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f75,plain,
( ! [X0] :
( ~ product(e_2,e_1,X0)
| ~ product(e_1,X0,e_2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,definition,
( spl0_6
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f79,plain,
( ~ product(e_2,e_2,e_2)
| spl0_6 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f72,f77,f74]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,e_2,X1)
| ~ product(X2,X3,e_2)
| ~ product(X2,X0,e_4)
| ~ product(X0,e_4,X1) ),
inference(resolution,[],[f31,f44]) ).
fof(f95,plain,
! [X0] :
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(factoring,[],[f65]) ).
fof(f98,definition,
( spl0_9
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f99,plain,
( product(e_1,e_3,e_3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( ~ product(X3,e_3,X1)
| ~ product(X2,X3,e_3)
| ~ product(X2,X0,e_4)
| ~ product(X0,e_4,X1) ),
inference(resolution,[],[f34,f44]) ).
fof(f133,plain,
! [X0] :
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(factoring,[],[f67]) ).
fof(f136,definition,
( spl0_15
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f137,plain,
( product(e_1,e_4,e_4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f146,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f42,f63]) ).
fof(f147,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f42,f79]) ).
fof(f152,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f153,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f154,plain,
! [X0] :
( ~ product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(forward_subsumption_resolution,[],[f95,f42]) ).
fof(f155,plain,
! [X0] :
( ~ product(e_1,X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(forward_subsumption_resolution,[],[f133,f42]) ).
fof(f159,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f40,f42]) ).
fof(f161,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f41,f42]) ).
fof(f163,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4) ),
inference(resolution,[],[f38,f22]) ).
fof(f181,definition,
( spl0_19
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f182,plain,
( product(e_2,e_3,e_3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f183,plain,
( ~ product(e_2,e_3,e_3)
| spl0_19 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f202,plain,
! [X0] :
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(factoring,[],[f91]) ).
fof(f205,definition,
( spl0_23
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f206,plain,
( product(e_2,e_4,e_4)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f212,plain,
! [X0] :
( ~ product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(forward_subsumption_resolution,[],[f202,f42]) ).
fof(f226,plain,
! [X0] :
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(factoring,[],[f107]) ).
fof(f229,definition,
( spl0_27
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f230,plain,
( product(e_3,e_4,e_4)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f236,plain,
! [X0] :
( ~ product(e_3,X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(forward_subsumption_resolution,[],[f226,f42]) ).
fof(f252,plain,
! [X0] :
( ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4) ),
inference(resolution,[],[f23,f38]) ).
fof(f254,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4) ),
inference(resolution,[],[f24,f38]) ).
fof(f341,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) ),
inference(resolution,[],[f163,f23]) ).
fof(f342,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) ),
inference(resolution,[],[f163,f24]) ).
fof(f343,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) ),
inference(resolution,[],[f163,f25]) ).
fof(f346,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4)
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f341,f52]) ).
fof(f348,definition,
( spl0_42
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f350,plain,
( product(e_1,e_4,e_3)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f352,definition,
( spl0_43
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f356,definition,
( spl0_44
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f358,plain,
( product(e_1,e_4,e_1)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f361,definition,
( spl0_45
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f363,plain,
( product(e_1,e_3,e_4)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f365,definition,
( spl0_46
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( product(e_1,e_3,e_2)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_47
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f371,plain,
( product(e_1,e_3,e_1)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f374,definition,
( spl0_48
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f376,plain,
( product(e_1,e_2,e_4)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f378,definition,
( spl0_49
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f380,plain,
( product(e_1,e_2,e_3)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f382,definition,
( spl0_50
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f384,plain,
( product(e_1,e_2,e_1)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f385,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_1 ),
inference(avatar_split_clause,[],[f346,f50,f382,f378,f374]) ).
fof(f391,plain,
( spl0_15
| spl0_42
| spl0_43
| spl0_44 ),
inference(avatar_split_clause,[],[f343,f356,f352,f348,f136]) ).
fof(f397,plain,
( spl0_45
| spl0_9
| spl0_46
| spl0_47 ),
inference(avatar_split_clause,[],[f342,f369,f365,f98,f361]) ).
fof(f403,plain,
( spl0_48
| spl0_49
| spl0_1
| spl0_50 ),
inference(avatar_split_clause,[],[f341,f382,f50,f378,f374]) ).
fof(f411,plain,
( equalish(e_2,e_1)
| ~ spl0_1 ),
inference(resolution,[],[f51,f161]) ).
fof(f412,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f411,f29]) ).
fof(f413,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f412]) ).
fof(f420,plain,
( equalish(e_3,e_1)
| ~ spl0_9 ),
inference(resolution,[],[f99,f161]) ).
fof(f421,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f420,f32]) ).
fof(f422,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f421]) ).
fof(f428,plain,
( equalish(e_4,e_1)
| ~ spl0_15 ),
inference(resolution,[],[f137,f161]) ).
fof(f429,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f428,f35]) ).
fof(f430,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f438,plain,
( ~ product(e_3,e_4,e_1)
| ~ spl0_45 ),
inference(resolution,[],[f363,f155]) ).
fof(f441,plain,
( ! [X0] :
( ~ product(e_1,X0,e_4)
| equalish(e_3,X0) )
| ~ spl0_45 ),
inference(resolution,[],[f363,f40]) ).
fof(f444,plain,
( ~ product(e_2,e_4,e_1)
| ~ spl0_48 ),
inference(resolution,[],[f376,f155]) ).
fof(f450,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) ),
inference(resolution,[],[f252,f22]) ).
fof(f452,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) ),
inference(resolution,[],[f252,f24]) ).
fof(f453,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) ),
inference(resolution,[],[f252,f25]) ).
fof(f455,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_4)
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f452,f183]) ).
fof(f457,definition,
( spl0_54
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f459,plain,
( product(e_2,e_1,e_4)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f461,definition,
( spl0_55
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f463,plain,
( product(e_2,e_1,e_3)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f465,definition,
( spl0_56
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f467,plain,
( product(e_2,e_1,e_2)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f469,definition,
( spl0_57
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f471,plain,
( product(e_2,e_1,e_1)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f472,plain,
( spl0_54
| spl0_55
| spl0_56
| spl0_57 ),
inference(avatar_split_clause,[],[f450,f469,f465,f461,f457]) ).
fof(f474,definition,
( spl0_58
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f478,definition,
( spl0_59
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f480,plain,
( product(e_2,e_4,e_2)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f482,definition,
( spl0_60
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f487,definition,
( spl0_61
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_61])],[avatar_definition]) ).
fof(f489,plain,
( product(e_2,e_3,e_4)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f491,definition,
( spl0_62
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f493,plain,
( product(e_2,e_3,e_2)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f495,definition,
( spl0_63
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f498,plain,
( spl0_61
| spl0_62
| spl0_63
| spl0_19 ),
inference(avatar_split_clause,[],[f455,f181,f495,f491,f487]) ).
fof(f504,plain,
( spl0_23
| spl0_58
| spl0_59
| spl0_60 ),
inference(avatar_split_clause,[],[f453,f482,f478,f474,f205]) ).
fof(f518,plain,
( equalish(e_3,e_2)
| ~ spl0_19 ),
inference(resolution,[],[f182,f161]) ).
fof(f519,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f518,f33]) ).
fof(f520,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f519]) ).
fof(f527,plain,
( equalish(e_4,e_2)
| ~ spl0_23 ),
inference(resolution,[],[f206,f161]) ).
fof(f528,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f527,f36]) ).
fof(f529,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f528]) ).
fof(f539,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) ),
inference(resolution,[],[f254,f23]) ).
fof(f541,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) ),
inference(resolution,[],[f254,f25]) ).
fof(f544,definition,
( spl0_66
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_66])],[avatar_definition]) ).
fof(f546,plain,
( product(e_3,e_2,e_4)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f548,definition,
( spl0_67
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f550,plain,
( product(e_3,e_2,e_3)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f552,definition,
( spl0_68
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f554,plain,
( product(e_3,e_2,e_2)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f556,definition,
( spl0_69
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f559,plain,
( spl0_66
| spl0_67
| spl0_68
| spl0_69 ),
inference(avatar_split_clause,[],[f539,f556,f552,f548,f544]) ).
fof(f578,definition,
( spl0_74
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_74])],[avatar_definition]) ).
fof(f580,plain,
( product(e_3,e_4,e_3)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f582,definition,
( spl0_75
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_75])],[avatar_definition]) ).
fof(f586,definition,
( spl0_76
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_76])],[avatar_definition]) ).
fof(f595,plain,
( spl0_27
| spl0_74
| spl0_75
| spl0_76 ),
inference(avatar_split_clause,[],[f541,f586,f582,f578,f229]) ).
fof(f603,plain,
( equalish(e_4,e_3)
| ~ spl0_27 ),
inference(resolution,[],[f230,f161]) ).
fof(f604,plain,
( $false
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f603,f37]) ).
fof(f605,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[],[f604]) ).
fof(f607,plain,
( ~ product(e_3,e_4,e_2)
| ~ spl0_61 ),
inference(resolution,[],[f489,f212]) ).
fof(f613,plain,
( ~ spl0_75
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f607,f487,f582]) ).
fof(f677,plain,
( equalish(e_3,e_4)
| ~ spl0_74 ),
inference(resolution,[],[f580,f159]) ).
fof(f678,plain,
( $false
| ~ spl0_74 ),
inference(forward_subsumption_resolution,[],[f677,f34]) ).
fof(f679,plain,
~ spl0_74,
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f686,plain,
( equalish(e_2,e_3)
| ~ spl0_62 ),
inference(resolution,[],[f493,f159]) ).
fof(f687,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f686,f30]) ).
fof(f688,plain,
~ spl0_62,
inference(avatar_contradiction_clause,[],[f687]) ).
fof(f703,plain,
( ~ product(e_1,e_4,e_2)
| ~ spl0_54 ),
inference(resolution,[],[f459,f212]) ).
fof(f712,plain,
( ~ spl0_43
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f703,f457,f352]) ).
fof(f716,plain,
( ~ product(e_2,e_4,e_3)
| ~ spl0_66 ),
inference(resolution,[],[f546,f236]) ).
fof(f729,plain,
( ~ spl0_58
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f716,f544,f474]) ).
fof(f735,plain,
( equalish(e_2,e_4)
| ~ spl0_59 ),
inference(resolution,[],[f480,f159]) ).
fof(f736,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[],[f735,f31]) ).
fof(f737,plain,
~ spl0_59,
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f766,plain,
( equalish(e_1,e_4)
| ~ spl0_44 ),
inference(resolution,[],[f358,f159]) ).
fof(f767,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f766,f28]) ).
fof(f768,plain,
~ spl0_44,
inference(avatar_contradiction_clause,[],[f767]) ).
fof(f776,plain,
( ~ spl0_76
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f438,f361,f586]) ).
fof(f780,plain,
( ~ product(e_2,e_3,e_1)
| ~ spl0_49 ),
inference(resolution,[],[f380,f154]) ).
fof(f795,plain,
( equalish(e_1,e_2)
| ~ spl0_50 ),
inference(resolution,[],[f384,f159]) ).
fof(f796,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f795,f26]) ).
fof(f797,plain,
~ spl0_50,
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f798,plain,
( ~ spl0_60
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f444,f374,f482]) ).
fof(f816,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_5
| ~ spl0_55 ),
inference(resolution,[],[f463,f75]) ).
fof(f828,plain,
( ~ spl0_46
| ~ spl0_5
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f816,f461,f74,f365]) ).
fof(f830,plain,
( equalish(e_3,e_2)
| ~ spl0_45
| ~ spl0_48 ),
inference(resolution,[],[f441,f376]) ).
fof(f831,plain,
( $false
| ~ spl0_45
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f830,f33]) ).
fof(f832,plain,
( ~ spl0_45
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f838,plain,
( equalish(e_1,e_3)
| ~ spl0_47 ),
inference(resolution,[],[f371,f159]) ).
fof(f839,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f838,f27]) ).
fof(f840,plain,
~ spl0_47,
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f842,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_3
| ~ spl0_46 ),
inference(resolution,[],[f367,f59]) ).
fof(f848,plain,
( ~ spl0_69
| ~ spl0_3
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f842,f365,f58,f556]) ).
fof(f859,plain,
( equalish(e_2,e_1)
| ~ spl0_56 ),
inference(resolution,[],[f467,f159]) ).
fof(f860,plain,
( $false
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f859,f29]) ).
fof(f861,plain,
~ spl0_56,
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f873,plain,
( equalish(e_1,e_2)
| ~ spl0_57 ),
inference(resolution,[],[f471,f161]) ).
fof(f874,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[],[f873,f26]) ).
fof(f875,plain,
~ spl0_57,
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f882,plain,
( ! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(e_4,X0) )
| ~ spl0_42 ),
inference(resolution,[],[f350,f40]) ).
fof(f907,plain,
( equalish(e_3,e_2)
| ~ spl0_67 ),
inference(resolution,[],[f550,f159]) ).
fof(f908,plain,
( $false
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f907,f33]) ).
fof(f909,plain,
~ spl0_67,
inference(avatar_contradiction_clause,[],[f908]) ).
fof(f921,plain,
( equalish(e_2,e_3)
| ~ spl0_68 ),
inference(resolution,[],[f554,f161]) ).
fof(f922,plain,
( $false
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f921,f30]) ).
fof(f923,plain,
~ spl0_68,
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f926,plain,
( ~ spl0_63
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f780,f378,f495]) ).
fof(f969,plain,
( equalish(e_4,e_2)
| ~ spl0_42
| ~ spl0_49 ),
inference(resolution,[],[f882,f380]) ).
fof(f970,plain,
( $false
| ~ spl0_42
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f969,f36]) ).
fof(f971,plain,
( ~ spl0_42
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f970]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f64]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f80]) ).
cnf(s10,plain,
spl0_6,
inference(sat_conversion,[],[f152]) ).
cnf(s11,plain,
spl0_4,
inference(sat_conversion,[],[f153]) ).
cnf(s29,plain,
( spl0_1
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f385]) ).
cnf(s31,plain,
( spl0_15
| spl0_42
| spl0_43
| spl0_44 ),
inference(sat_conversion,[],[f391]) ).
cnf(s33,plain,
( spl0_9
| spl0_45
| spl0_46
| spl0_47 ),
inference(sat_conversion,[],[f397]) ).
cnf(s35,plain,
( spl0_1
| spl0_48
| spl0_49
| spl0_50 ),
inference(sat_conversion,[],[f403]) ).
cnf(s36,plain,
~ spl0_1,
inference(sat_conversion,[],[f413]) ).
cnf(s37,plain,
~ spl0_9,
inference(sat_conversion,[],[f422]) ).
cnf(s38,plain,
~ spl0_15,
inference(sat_conversion,[],[f430]) ).
cnf(s39,plain,
( spl0_54
| spl0_55
| spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f472]) ).
cnf(s41,plain,
( spl0_19
| spl0_61
| spl0_62
| spl0_63 ),
inference(sat_conversion,[],[f498]) ).
cnf(s43,plain,
( spl0_23
| spl0_58
| spl0_59
| spl0_60 ),
inference(sat_conversion,[],[f504]) ).
cnf(s46,plain,
~ spl0_19,
inference(sat_conversion,[],[f520]) ).
cnf(s47,plain,
~ spl0_23,
inference(sat_conversion,[],[f529]) ).
cnf(s48,plain,
( spl0_66
| spl0_67
| spl0_68
| spl0_69 ),
inference(sat_conversion,[],[f559]) ).
cnf(s52,plain,
( spl0_27
| spl0_74
| spl0_75
| spl0_76 ),
inference(sat_conversion,[],[f595]) ).
cnf(s53,plain,
~ spl0_27,
inference(sat_conversion,[],[f605]) ).
cnf(s54,plain,
( ~ spl0_61
| ~ spl0_75 ),
inference(sat_conversion,[],[f613]) ).
cnf(s59,plain,
~ spl0_74,
inference(sat_conversion,[],[f679]) ).
cnf(s60,plain,
~ spl0_62,
inference(sat_conversion,[],[f688]) ).
cnf(s61,plain,
( ~ spl0_43
| ~ spl0_54 ),
inference(sat_conversion,[],[f712]) ).
cnf(s65,plain,
( ~ spl0_58
| ~ spl0_66 ),
inference(sat_conversion,[],[f729]) ).
cnf(s67,plain,
~ spl0_59,
inference(sat_conversion,[],[f737]) ).
cnf(s73,plain,
~ spl0_44,
inference(sat_conversion,[],[f768]) ).
cnf(s75,plain,
( ~ spl0_45
| ~ spl0_76 ),
inference(sat_conversion,[],[f776]) ).
cnf(s78,plain,
~ spl0_50,
inference(sat_conversion,[],[f797]) ).
cnf(s79,plain,
( ~ spl0_48
| ~ spl0_60 ),
inference(sat_conversion,[],[f798]) ).
cnf(s84,plain,
( ~ spl0_5
| ~ spl0_46
| ~ spl0_55 ),
inference(sat_conversion,[],[f828]) ).
cnf(s85,plain,
( ~ spl0_45
| ~ spl0_48 ),
inference(sat_conversion,[],[f832]) ).
cnf(s86,plain,
~ spl0_47,
inference(sat_conversion,[],[f840]) ).
cnf(s87,plain,
( ~ spl0_3
| ~ spl0_46
| ~ spl0_69 ),
inference(sat_conversion,[],[f848]) ).
cnf(s88,plain,
~ spl0_56,
inference(sat_conversion,[],[f861]) ).
cnf(s89,plain,
~ spl0_57,
inference(sat_conversion,[],[f875]) ).
cnf(s95,plain,
~ spl0_67,
inference(sat_conversion,[],[f909]) ).
cnf(s96,plain,
~ spl0_68,
inference(sat_conversion,[],[f923]) ).
cnf(s98,plain,
( ~ spl0_49
| ~ spl0_63 ),
inference(sat_conversion,[],[f926]) ).
cnf(s104,plain,
( ~ spl0_42
| ~ spl0_49 ),
inference(sat_conversion,[],[f971]) ).
cnf(s105,plain,
( spl0_75
| spl0_76 ),
inference(rat,[],[s52,s59,s53]) ).
cnf(s107,plain,
( spl0_66
| spl0_69 ),
inference(rat,[],[s48,s96,s95]) ).
cnf(s109,plain,
( spl0_58
| spl0_60 ),
inference(rat,[],[s43,s67,s47]) ).
cnf(s110,plain,
( spl0_61
| spl0_63 ),
inference(rat,[],[s41,s60,s46]) ).
cnf(s112,plain,
( spl0_54
| spl0_55 ),
inference(rat,[],[s39,s89,s88]) ).
cnf(s113,plain,
( spl0_48
| spl0_49 ),
inference(rat,[],[s35,s78,s36]) ).
cnf(s114,plain,
( spl0_45
| spl0_46 ),
inference(rat,[],[s33,s86,s37]) ).
cnf(s115,plain,
( spl0_42
| spl0_43 ),
inference(rat,[],[s31,s73,s38]) ).
cnf(s116,plain,
( spl0_48
| spl0_49 ),
inference(rat,[],[s29,s78,s36]) ).
cnf(s123,plain,
spl0_5,
inference(rat,[],[s3,s10]) ).
cnf(s124,plain,
spl0_3,
inference(rat,[],[s2,s11]) ).
cnf(s125,plain,
~ spl0_45,
inference(rat,[],[s110,s54,s98,s105,s113,s75,s85]) ).
cnf(s126,plain,
spl0_46,
inference(rat,[],[s114,s125]) ).
cnf(s127,plain,
~ spl0_69,
inference(rat,[],[s87,s124,s126]) ).
cnf(s128,plain,
~ spl0_55,
inference(rat,[],[s84,s123,s126]) ).
cnf(s129,plain,
spl0_66,
inference(rat,[],[s107,s127]) ).
cnf(s130,plain,
spl0_54,
inference(rat,[],[s112,s128]) ).
cnf(s131,plain,
~ spl0_58,
inference(rat,[],[s65,s129]) ).
cnf(s132,plain,
~ spl0_43,
inference(rat,[],[s61,s130]) ).
cnf(s133,plain,
spl0_60,
inference(rat,[],[s109,s131]) ).
cnf(s134,plain,
spl0_42,
inference(rat,[],[s115,s132]) ).
cnf(s135,plain,
~ spl0_48,
inference(rat,[],[s79,s133]) ).
cnf(s136,plain,
~ spl0_49,
inference(rat,[],[s104,s134]) ).
cnf(s139,plain,
$false,
inference(rat,[],[s116,s136,s135]) ).
fof(f972,plain,
$false,
inference(avatar_sat_refutation,[],[s139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n006.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 09:20:56 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 3.13/1.34 % (2725995)Input is clausal, will run a generic CNF schedule.
% 3.13/1.34 % (2726004)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=144867052:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.13/1.34 % (2726003)lrs+10_1_sil=8000:sp=occurrence:random_seed=2733054021:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.13/1.34 % (2726000)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=3136289056:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.13/1.34 % (2726003)Refutation not found, incomplete strategy
% 3.13/1.34 % (2726003)------------------------------
% 3.13/1.34 % (2726003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.34 % (2726003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.34 % (2726003)CaDiCaL version: 2.1.3
% 3.13/1.34 % (2726003)Termination reason: Refutation not found, incomplete strategy
% 3.13/1.34 % (2726003)Time elapsed: 0.001 s
% 3.13/1.34 % (2726003)Peak memory usage: 86 MB
% 3.13/1.34 % (2726002)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3759514725:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.13/1.34 % (2726001)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4110809871:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.13/1.34 % (2726004)Instruction limit reached!
% 3.13/1.34 % (2726004)------------------------------
% 3.13/1.34 % (2726004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.34 % (2726004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.34 % (2726004)CaDiCaL version: 2.1.3
% 3.13/1.34 % (2726004)Termination reason: Instruction limit
% 3.13/1.34 % (2726004)Termination phase: Saturation
% 3.13/1.34 % (2726004)Time elapsed: 0.034 s
% 3.13/1.34 % (2726004)Peak memory usage: 88 MB
% 3.13/1.34 % (2726004)Instructions burned: 114 (million)
% 3.13/1.34 % (2726006)dis-21_1_sil=8000:lcm=predicate:random_seed=2482880881: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)
% 3.13/1.34 % (2726005)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=618389839:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.13/1.34 % (2726005)First to succeed.
% 3.13/1.34 % (2726005)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2725995"
% 3.13/1.34 % (2726006)Instruction limit reached!
% 3.13/1.34 % (2726006)------------------------------
% 3.13/1.34 % (2726006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.34 % (2726006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.34 % (2726006)CaDiCaL version: 2.1.3
% 3.13/1.34 % (2726006)Termination reason: Instruction limit
% 3.13/1.34 % (2726006)Termination phase: Saturation
% 3.13/1.34 % (2726006)Time elapsed: 0.076 s
% 3.13/1.34 % (2726006)Peak memory usage: 89 MB
% 3.13/1.34 % (2726006)Instructions burned: 119 (million)
% 3.13/1.34 % (2726012)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=1981647144:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.13/1.34 % (2726012)Instruction limit reached!
% 3.13/1.34 % (2726012)------------------------------
% 3.13/1.34 % (2726012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.34 % (2726012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.34 % (2726012)CaDiCaL version: 2.1.3
% 3.13/1.34 % (2726012)Termination reason: Instruction limit
% 3.13/1.34 % (2726012)Termination phase: Saturation
% 3.13/1.34 % (2726012)Time elapsed: 0.042 s
% 3.13/1.34 % (2726012)Peak memory usage: 88 MB
% 3.13/1.34 % (2726012)Instructions burned: 148 (million)
% 3.13/1.34 % (2726003)------------------------------
% 3.13/1.34 % (2726003)------------------------------
% 3.13/1.34 % (2726015)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1828056819: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)
% 3.13/1.34 % (2726015)Refutation not found, incomplete strategy
% 3.13/1.34 % (2726015)------------------------------
% 3.13/1.34 % (2726015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.34 % (2726015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.34 % (2726015)CaDiCaL version: 2.1.3
% 3.13/1.34 % (2726015)Termination reason: Refutation not found, incomplete strategy
% 3.13/1.34 % (2726015)Time elapsed: 0.003 s
% 3.13/1.34 % (2726015)Peak memory usage: 87 MB
% 3.13/1.34 % (2726015)Instructions burned: 3 (million)
% 3.13/1.34 % (2726005)Refutation found. Thanks to Tanya!
% 3.13/1.34 % SZS status Unsatisfiable for theBenchmark
% 3.13/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.85/1.54 % (2726005)------------------------------
% 3.85/1.54 % (2726005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.85/1.54 % (2726005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.85/1.54 % (2726005)CaDiCaL version: 2.1.3
% 3.85/1.54 % (2726005)Termination reason: Refutation
% 3.85/1.54 % (2726005)Time elapsed: 0.019 s
% 3.85/1.54 % (2726005)Peak memory usage: 89 MB
% 3.85/1.54 % (2726005)Instructions burned: 25 (million)
% 3.85/1.54 % (2726005)------------------------------
% 3.85/1.54 % (2726005)------------------------------
% 3.85/1.54 % (2725995)Success in time 0.458 s
% 3.85/1.54 % Vampire exiting
%------------------------------------------------------------------------------