%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP124-1.004 : 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 : n011.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 2.02s 1.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 58
% Syntax : Number of formulae : 274 ( 69 unt; 36 def)
% Number of atoms : 594 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 591 ( 271 ~; 284 |; 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(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f4,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_4) ).
fof(f5,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f6,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f7,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_4) ).
fof(f8,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f9,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f10,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_4) ).
fof(f11,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f12,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f13,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f14,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_1) ).
fof(f15,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_2) ).
fof(f16,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_4_is_not_e_3) ).
fof(f17,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(f19,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(f20,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(f21,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f22,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(f23,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(f24,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,[],[f5,f23]) ).
fof(f25,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,[],[f5,f22]) ).
fof(f26,plain,
! [X0] :
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,X0,e_2)
| ~ product(X0,e_2,e_1) ),
inference(factoring,[],[f24]) ).
fof(f29,definition,
( spl0_1
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f30,plain,
( product(e_1,e_2,e_2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f31,plain,
( ~ product(e_1,e_2,e_2)
| spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f37,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(f38,plain,
( ! [X0] :
( ~ product(e_1,X0,e_2)
| ~ product(X0,e_2,e_1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f40,definition,
( spl0_4
<=> product(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f42,plain,
( ~ product(e_1,e_1,e_1)
| spl0_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f26,f40,f37]) ).
fof(f44,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,[],[f6,f23]) ).
fof(f46,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,[],[f7,f23]) ).
fof(f51,plain,
! [X0] :
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_1,X0)
| ~ product(e_1,X0,e_2) ),
inference(factoring,[],[f25]) ).
fof(f53,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(f54,plain,
( ! [X0] :
( ~ product(e_2,e_1,X0)
| ~ product(e_1,X0,e_2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f56,definition,
( spl0_6
<=> product(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f58,plain,
( ~ product(e_2,e_2,e_2)
| spl0_6 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f51,f56,f53]) ).
fof(f70,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,[],[f10,f23]) ).
fof(f74,plain,
! [X0] :
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(factoring,[],[f44]) ).
fof(f77,definition,
( spl0_9
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f78,plain,
( product(e_1,e_3,e_3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f86,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,[],[f13,f23]) ).
fof(f112,plain,
! [X0] :
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(factoring,[],[f46]) ).
fof(f115,definition,
( spl0_15
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f116,plain,
( product(e_1,e_4,e_4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( ~ product(e_1,e_4,e_4)
| spl0_15 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f125,plain,
( $false
| spl0_4 ),
inference(resolution,[],[f21,f42]) ).
fof(f126,plain,
( $false
| spl0_6 ),
inference(resolution,[],[f21,f58]) ).
fof(f131,plain,
spl0_6,
inference(avatar_contradiction_clause,[],[f126]) ).
fof(f132,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f133,plain,
! [X0] :
( ~ product(e_1,X0,e_3)
| ~ product(X0,e_3,e_1) ),
inference(forward_subsumption_resolution,[],[f74,f21]) ).
fof(f134,plain,
! [X0] :
( ~ product(e_1,X0,e_4)
| ~ product(X0,e_4,e_1) ),
inference(forward_subsumption_resolution,[],[f112,f21]) ).
fof(f137,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f19,f21]) ).
fof(f139,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f20,f21]) ).
fof(f141,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,[],[f17,f1]) ).
fof(f159,definition,
( spl0_19
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f160,plain,
( product(e_2,e_3,e_3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f161,plain,
( ~ product(e_2,e_3,e_3)
| spl0_19 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f180,plain,
! [X0] :
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(factoring,[],[f70]) ).
fof(f183,definition,
( spl0_23
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f184,plain,
( product(e_2,e_4,e_4)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f190,plain,
! [X0] :
( ~ product(e_2,X0,e_4)
| ~ product(X0,e_4,e_2) ),
inference(forward_subsumption_resolution,[],[f180,f21]) ).
fof(f204,plain,
! [X0] :
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(factoring,[],[f86]) ).
fof(f207,definition,
( spl0_27
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f208,plain,
( product(e_3,e_4,e_4)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f214,plain,
! [X0] :
( ~ product(e_3,X0,e_4)
| ~ product(X0,e_4,e_3) ),
inference(forward_subsumption_resolution,[],[f204,f21]) ).
fof(f227,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,[],[f2,f17]) ).
fof(f229,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,[],[f3,f17]) ).
fof(f244,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,[],[f141,f2]) ).
fof(f245,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,[],[f141,f3]) ).
fof(f246,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,[],[f141,f4]) ).
fof(f249,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,[],[f244,f31]) ).
fof(f251,definition,
( spl0_31
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f253,plain,
( product(e_1,e_4,e_3)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f255,definition,
( spl0_32
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f259,definition,
( spl0_33
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f260,plain,
( ~ product(e_1,e_4,e_1)
| spl0_33 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f261,plain,
( product(e_1,e_4,e_1)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f264,definition,
( spl0_34
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f266,plain,
( product(e_1,e_3,e_4)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_35
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f270,plain,
( product(e_1,e_3,e_2)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_36
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f274,plain,
( product(e_1,e_3,e_1)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f277,definition,
( spl0_37
<=> product(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f279,plain,
( product(e_1,e_2,e_4)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl0_38
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f283,plain,
( product(e_1,e_2,e_3)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f285,definition,
( spl0_39
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f287,plain,
( product(e_1,e_2,e_1)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,plain,
( spl0_37
| spl0_38
| spl0_39
| spl0_1 ),
inference(avatar_split_clause,[],[f249,f29,f285,f281,f277]) ).
fof(f294,plain,
( spl0_34
| spl0_9
| spl0_35
| spl0_36 ),
inference(avatar_split_clause,[],[f245,f272,f268,f77,f264]) ).
fof(f300,plain,
( spl0_37
| spl0_38
| spl0_1
| spl0_39 ),
inference(avatar_split_clause,[],[f244,f285,f29,f281,f277]) ).
fof(f308,plain,
( equalish(e_2,e_1)
| ~ spl0_1 ),
inference(resolution,[],[f30,f139]) ).
fof(f309,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f308,f8]) ).
fof(f310,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f309]) ).
fof(f317,plain,
( equalish(e_3,e_1)
| ~ spl0_9 ),
inference(resolution,[],[f78,f139]) ).
fof(f318,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f317,f11]) ).
fof(f319,plain,
~ spl0_9,
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f327,plain,
( ~ product(e_3,e_4,e_1)
| ~ spl0_34 ),
inference(resolution,[],[f266,f134]) ).
fof(f330,plain,
( ! [X0] :
( ~ product(e_1,X0,e_4)
| equalish(e_3,X0) )
| ~ spl0_34 ),
inference(resolution,[],[f266,f19]) ).
fof(f333,plain,
( ~ product(e_2,e_4,e_1)
| ~ spl0_37 ),
inference(resolution,[],[f279,f134]) ).
fof(f339,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,[],[f227,f1]) ).
fof(f341,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,[],[f227,f3]) ).
fof(f342,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,[],[f227,f4]) ).
fof(f344,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,[],[f341,f161]) ).
fof(f346,definition,
( spl0_42
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f348,plain,
( product(e_2,e_1,e_4)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f350,definition,
( spl0_43
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f352,plain,
( product(e_2,e_1,e_3)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f354,definition,
( spl0_44
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f356,plain,
( product(e_2,e_1,e_2)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f358,definition,
( spl0_45
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f360,plain,
( product(e_2,e_1,e_1)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,plain,
( spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(avatar_split_clause,[],[f339,f358,f354,f350,f346]) ).
fof(f363,definition,
( spl0_46
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,definition,
( spl0_47
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f369,plain,
( product(e_2,e_4,e_2)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f371,definition,
( spl0_48
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f376,definition,
( spl0_49
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f378,plain,
( product(e_2,e_3,e_4)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f380,definition,
( spl0_50
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f382,plain,
( product(e_2,e_3,e_2)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f384,definition,
( spl0_51
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f387,plain,
( spl0_49
| spl0_50
| spl0_51
| spl0_19 ),
inference(avatar_split_clause,[],[f344,f159,f384,f380,f376]) ).
fof(f393,plain,
( spl0_23
| spl0_46
| spl0_47
| spl0_48 ),
inference(avatar_split_clause,[],[f342,f371,f367,f363,f183]) ).
fof(f407,plain,
( equalish(e_3,e_2)
| ~ spl0_19 ),
inference(resolution,[],[f160,f139]) ).
fof(f408,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f407,f12]) ).
fof(f409,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f416,plain,
( equalish(e_4,e_2)
| ~ spl0_23 ),
inference(resolution,[],[f184,f139]) ).
fof(f417,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f416,f15]) ).
fof(f418,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f428,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,[],[f229,f2]) ).
fof(f430,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,[],[f229,f4]) ).
fof(f433,definition,
( spl0_54
<=> product(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f435,plain,
( product(e_3,e_2,e_4)
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f437,definition,
( spl0_55
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f439,plain,
( product(e_3,e_2,e_3)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f441,definition,
( spl0_56
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f443,plain,
( product(e_3,e_2,e_2)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f445,definition,
( spl0_57
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f448,plain,
( spl0_54
| spl0_55
| spl0_56
| spl0_57 ),
inference(avatar_split_clause,[],[f428,f445,f441,f437,f433]) ).
fof(f467,definition,
( spl0_62
<=> product(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_62])],[avatar_definition]) ).
fof(f469,plain,
( product(e_3,e_4,e_3)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f471,definition,
( spl0_63
<=> product(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f475,definition,
( spl0_64
<=> product(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f484,plain,
( spl0_27
| spl0_62
| spl0_63
| spl0_64 ),
inference(avatar_split_clause,[],[f430,f475,f471,f467,f207]) ).
fof(f492,plain,
( equalish(e_4,e_3)
| ~ spl0_27 ),
inference(resolution,[],[f208,f139]) ).
fof(f493,plain,
( $false
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f492,f16]) ).
fof(f494,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f496,plain,
( ~ product(e_3,e_4,e_2)
| ~ spl0_49 ),
inference(resolution,[],[f378,f190]) ).
fof(f502,plain,
( ~ spl0_63
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f496,f376,f471]) ).
fof(f566,plain,
( equalish(e_3,e_4)
| ~ spl0_62 ),
inference(resolution,[],[f469,f137]) ).
fof(f567,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[],[f566,f13]) ).
fof(f568,plain,
~ spl0_62,
inference(avatar_contradiction_clause,[],[f567]) ).
fof(f575,plain,
( equalish(e_2,e_3)
| ~ spl0_50 ),
inference(resolution,[],[f382,f137]) ).
fof(f576,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[],[f575,f9]) ).
fof(f577,plain,
~ spl0_50,
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f592,plain,
( ~ product(e_1,e_4,e_2)
| ~ spl0_42 ),
inference(resolution,[],[f348,f190]) ).
fof(f600,plain,
( ~ spl0_32
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f592,f346,f255]) ).
fof(f604,plain,
( ~ product(e_2,e_4,e_3)
| ~ spl0_54 ),
inference(resolution,[],[f435,f214]) ).
fof(f617,plain,
( ~ spl0_46
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f604,f433,f363]) ).
fof(f623,plain,
( equalish(e_2,e_4)
| ~ spl0_47 ),
inference(resolution,[],[f369,f137]) ).
fof(f624,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f623,f10]) ).
fof(f625,plain,
~ spl0_47,
inference(avatar_contradiction_clause,[],[f624]) ).
fof(f661,plain,
( equalish(e_4,e_1)
| ~ spl0_15 ),
inference(resolution,[],[f116,f139]) ).
fof(f662,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f661,f14]) ).
fof(f663,plain,
~ spl0_15,
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f670,plain,
( equalish(e_1,e_4)
| ~ spl0_33 ),
inference(resolution,[],[f261,f137]) ).
fof(f671,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f670,f7]) ).
fof(f672,plain,
~ spl0_33,
inference(avatar_contradiction_clause,[],[f671]) ).
fof(f683,plain,
( ~ spl0_64
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f327,f264,f475]) ).
fof(f687,plain,
( ~ product(e_2,e_3,e_1)
| ~ spl0_38 ),
inference(resolution,[],[f283,f133]) ).
fof(f702,plain,
( equalish(e_1,e_2)
| ~ spl0_39 ),
inference(resolution,[],[f287,f137]) ).
fof(f703,plain,
( $false
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f702,f5]) ).
fof(f704,plain,
~ spl0_39,
inference(avatar_contradiction_clause,[],[f703]) ).
fof(f705,plain,
( ~ spl0_48
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f333,f277,f371]) ).
fof(f723,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_5
| ~ spl0_43 ),
inference(resolution,[],[f352,f54]) ).
fof(f735,plain,
( ~ spl0_35
| ~ spl0_5
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f723,f350,f53,f268]) ).
fof(f737,plain,
( equalish(e_3,e_2)
| ~ spl0_34
| ~ spl0_37 ),
inference(resolution,[],[f330,f279]) ).
fof(f738,plain,
( $false
| ~ spl0_34
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f737,f12]) ).
fof(f739,plain,
( ~ spl0_34
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f745,plain,
( equalish(e_1,e_3)
| ~ spl0_36 ),
inference(resolution,[],[f274,f137]) ).
fof(f746,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f745,f6]) ).
fof(f747,plain,
~ spl0_36,
inference(avatar_contradiction_clause,[],[f746]) ).
fof(f749,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_3
| ~ spl0_35 ),
inference(resolution,[],[f270,f38]) ).
fof(f755,plain,
( ~ spl0_57
| ~ spl0_3
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f749,f268,f37,f445]) ).
fof(f766,plain,
( equalish(e_2,e_1)
| ~ spl0_44 ),
inference(resolution,[],[f356,f137]) ).
fof(f767,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f766,f8]) ).
fof(f768,plain,
~ spl0_44,
inference(avatar_contradiction_clause,[],[f767]) ).
fof(f780,plain,
( equalish(e_1,e_2)
| ~ spl0_45 ),
inference(resolution,[],[f360,f139]) ).
fof(f781,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f780,f5]) ).
fof(f782,plain,
~ spl0_45,
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f785,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4)
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f246,f260]) ).
fof(f786,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| spl0_15
| spl0_33 ),
inference(forward_subsumption_resolution,[],[f785,f117]) ).
fof(f787,plain,
( spl0_31
| spl0_32
| spl0_15
| spl0_33 ),
inference(avatar_split_clause,[],[f786,f259,f115,f255,f251]) ).
fof(f792,plain,
( ! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(e_4,X0) )
| ~ spl0_31 ),
inference(resolution,[],[f253,f19]) ).
fof(f816,plain,
( equalish(e_3,e_2)
| ~ spl0_55 ),
inference(resolution,[],[f439,f137]) ).
fof(f817,plain,
( $false
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[],[f816,f12]) ).
fof(f818,plain,
~ spl0_55,
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f830,plain,
( equalish(e_2,e_3)
| ~ spl0_56 ),
inference(resolution,[],[f443,f139]) ).
fof(f831,plain,
( $false
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f830,f9]) ).
fof(f832,plain,
~ spl0_56,
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f835,plain,
( ~ spl0_51
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f687,f281,f384]) ).
fof(f878,plain,
( equalish(e_4,e_2)
| ~ spl0_31
| ~ spl0_38 ),
inference(resolution,[],[f792,f283]) ).
fof(f879,plain,
( $false
| ~ spl0_31
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[],[f878,f15]) ).
fof(f880,plain,
( ~ spl0_31
| ~ spl0_38 ),
inference(avatar_contradiction_clause,[],[f879]) ).
cnf(s2,plain,
( spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f43]) ).
cnf(s3,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f59]) ).
cnf(s10,plain,
spl0_6,
inference(sat_conversion,[],[f131]) ).
cnf(s11,plain,
spl0_4,
inference(sat_conversion,[],[f132]) ).
cnf(s21,plain,
( spl0_1
| spl0_37
| spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f288]) ).
cnf(s23,plain,
( spl0_9
| spl0_34
| spl0_35
| spl0_36 ),
inference(sat_conversion,[],[f294]) ).
cnf(s25,plain,
( spl0_1
| spl0_37
| spl0_38
| spl0_39 ),
inference(sat_conversion,[],[f300]) ).
cnf(s26,plain,
~ spl0_1,
inference(sat_conversion,[],[f310]) ).
cnf(s27,plain,
~ spl0_9,
inference(sat_conversion,[],[f319]) ).
cnf(s28,plain,
( spl0_42
| spl0_43
| spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f361]) ).
cnf(s30,plain,
( spl0_19
| spl0_49
| spl0_50
| spl0_51 ),
inference(sat_conversion,[],[f387]) ).
cnf(s32,plain,
( spl0_23
| spl0_46
| spl0_47
| spl0_48 ),
inference(sat_conversion,[],[f393]) ).
cnf(s35,plain,
~ spl0_19,
inference(sat_conversion,[],[f409]) ).
cnf(s36,plain,
~ spl0_23,
inference(sat_conversion,[],[f418]) ).
cnf(s37,plain,
( spl0_54
| spl0_55
| spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f448]) ).
cnf(s41,plain,
( spl0_27
| spl0_62
| spl0_63
| spl0_64 ),
inference(sat_conversion,[],[f484]) ).
cnf(s42,plain,
~ spl0_27,
inference(sat_conversion,[],[f494]) ).
cnf(s43,plain,
( ~ spl0_49
| ~ spl0_63 ),
inference(sat_conversion,[],[f502]) ).
cnf(s48,plain,
~ spl0_62,
inference(sat_conversion,[],[f568]) ).
cnf(s49,plain,
~ spl0_50,
inference(sat_conversion,[],[f577]) ).
cnf(s50,plain,
( ~ spl0_32
| ~ spl0_42 ),
inference(sat_conversion,[],[f600]) ).
cnf(s54,plain,
( ~ spl0_46
| ~ spl0_54 ),
inference(sat_conversion,[],[f617]) ).
cnf(s56,plain,
~ spl0_47,
inference(sat_conversion,[],[f625]) ).
cnf(s64,plain,
~ spl0_15,
inference(sat_conversion,[],[f663]) ).
cnf(s66,plain,
~ spl0_33,
inference(sat_conversion,[],[f672]) ).
cnf(s69,plain,
( ~ spl0_34
| ~ spl0_64 ),
inference(sat_conversion,[],[f683]) ).
cnf(s72,plain,
~ spl0_39,
inference(sat_conversion,[],[f704]) ).
cnf(s73,plain,
( ~ spl0_37
| ~ spl0_48 ),
inference(sat_conversion,[],[f705]) ).
cnf(s78,plain,
( ~ spl0_5
| ~ spl0_35
| ~ spl0_43 ),
inference(sat_conversion,[],[f735]) ).
cnf(s79,plain,
( ~ spl0_34
| ~ spl0_37 ),
inference(sat_conversion,[],[f739]) ).
cnf(s80,plain,
~ spl0_36,
inference(sat_conversion,[],[f747]) ).
cnf(s81,plain,
( ~ spl0_3
| ~ spl0_35
| ~ spl0_57 ),
inference(sat_conversion,[],[f755]) ).
cnf(s82,plain,
~ spl0_44,
inference(sat_conversion,[],[f768]) ).
cnf(s83,plain,
~ spl0_45,
inference(sat_conversion,[],[f782]) ).
cnf(s88,plain,
( spl0_15
| spl0_31
| spl0_32
| spl0_33 ),
inference(sat_conversion,[],[f787]) ).
cnf(s90,plain,
~ spl0_55,
inference(sat_conversion,[],[f818]) ).
cnf(s91,plain,
~ spl0_56,
inference(sat_conversion,[],[f832]) ).
cnf(s93,plain,
( ~ spl0_38
| ~ spl0_51 ),
inference(sat_conversion,[],[f835]) ).
cnf(s99,plain,
( ~ spl0_31
| ~ spl0_38 ),
inference(sat_conversion,[],[f880]) ).
cnf(s101,plain,
( spl0_63
| spl0_64 ),
inference(rat,[],[s41,s48,s42]) ).
cnf(s103,plain,
( spl0_54
| spl0_57 ),
inference(rat,[],[s37,s91,s90]) ).
cnf(s105,plain,
( spl0_46
| spl0_48 ),
inference(rat,[],[s32,s56,s36]) ).
cnf(s106,plain,
( spl0_49
| spl0_51 ),
inference(rat,[],[s30,s49,s35]) ).
cnf(s108,plain,
( spl0_42
| spl0_43 ),
inference(rat,[],[s28,s83,s82]) ).
cnf(s109,plain,
( spl0_37
| spl0_38 ),
inference(rat,[],[s25,s72,s26]) ).
cnf(s110,plain,
( spl0_34
| spl0_35 ),
inference(rat,[],[s23,s80,s27]) ).
cnf(s111,plain,
( spl0_37
| spl0_38 ),
inference(rat,[],[s21,s72,s26]) ).
cnf(s115,plain,
spl0_5,
inference(rat,[],[s3,s10]) ).
cnf(s116,plain,
spl0_3,
inference(rat,[],[s2,s11]) ).
cnf(s117,plain,
~ spl0_34,
inference(rat,[],[s106,s43,s93,s101,s109,s69,s79]) ).
cnf(s118,plain,
spl0_35,
inference(rat,[],[s110,s117]) ).
cnf(s119,plain,
~ spl0_57,
inference(rat,[],[s81,s116,s118]) ).
cnf(s120,plain,
~ spl0_43,
inference(rat,[],[s78,s115,s118]) ).
cnf(s121,plain,
spl0_54,
inference(rat,[],[s103,s119]) ).
cnf(s122,plain,
spl0_42,
inference(rat,[],[s108,s120]) ).
cnf(s123,plain,
~ spl0_46,
inference(rat,[],[s54,s121]) ).
cnf(s124,plain,
~ spl0_32,
inference(rat,[],[s50,s122]) ).
cnf(s125,plain,
spl0_48,
inference(rat,[],[s105,s123]) ).
cnf(s126,plain,
spl0_31,
inference(rat,[],[s88,s66,s64,s124]) ).
cnf(s127,plain,
~ spl0_37,
inference(rat,[],[s73,s125]) ).
cnf(s128,plain,
~ spl0_38,
inference(rat,[],[s99,s126]) ).
cnf(s131,plain,
$false,
inference(rat,[],[s111,s128,s127]) ).
fof(f881,plain,
$false,
inference(avatar_sat_refutation,[],[s131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-1.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 09:20:15 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.02/1.30 % (2140683)Input is clausal, will run a generic CNF schedule.
% 2.02/1.30 % (2140692)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3716031270:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.02/1.30 % (2140692)Instruction limit reached!
% 2.02/1.30 % (2140692)------------------------------
% 2.02/1.30 % (2140692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.30 % (2140692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.30 % (2140692)CaDiCaL version: 2.1.3
% 2.02/1.30 % (2140692)Termination reason: Instruction limit
% 2.02/1.30 % (2140692)Termination phase: Saturation
% 2.02/1.30 % (2140692)Time elapsed: 0.031 s
% 2.02/1.30 % (2140692)Peak memory usage: 88 MB
% 2.02/1.30 % (2140692)Instructions burned: 115 (million)
% 2.02/1.30 % (2140694)dis-21_1_sil=8000:lcm=predicate:random_seed=1918305473: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)
% 2.02/1.30 % (2140688)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=2801820160:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.02/1.30 % (2140690)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3923728722:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.02/1.30 % (2140691)lrs+10_1_sil=8000:sp=occurrence:random_seed=1336706163:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.02/1.30 % (2140689)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3869760285:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.02/1.30 % (2140693)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2898454195:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.02/1.30 % (2140693)First to succeed.
% 2.02/1.30 % (2140693)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2140683"
% 2.02/1.30 % (2140691)Instruction limit reached!
% 2.02/1.30 % (2140691)------------------------------
% 2.02/1.30 % (2140691)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.30 % (2140691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.30 % (2140691)CaDiCaL version: 2.1.3
% 2.02/1.30 % (2140691)Termination reason: Instruction limit
% 2.02/1.30 % (2140691)Termination phase: Saturation
% 2.02/1.30 % (2140691)Time elapsed: 0.060 s
% 2.02/1.30 % (2140691)Peak memory usage: 88 MB
% 2.02/1.30 % (2140691)Instructions burned: 108 (million)
% 2.02/1.30 % (2140694)Instruction limit reached!
% 2.02/1.30 % (2140694)------------------------------
% 2.02/1.30 % (2140694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.30 % (2140694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.30 % (2140694)CaDiCaL version: 2.1.3
% 2.02/1.30 % (2140694)Termination reason: Instruction limit
% 2.02/1.30 % (2140694)Termination phase: Saturation
% 2.02/1.30 % (2140694)Time elapsed: 0.076 s
% 2.02/1.30 % (2140694)Peak memory usage: 89 MB
% 2.02/1.30 % (2140694)Instructions burned: 118 (million)
% 2.02/1.30 % (2140696)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=379665029:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.02/1.30 % (2140696)Instruction limit reached!
% 2.02/1.30 % (2140696)------------------------------
% 2.02/1.30 % (2140696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.30 % (2140696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.30 % (2140696)CaDiCaL version: 2.1.3
% 2.02/1.30 % (2140696)Termination reason: Instruction limit
% 2.02/1.30 % (2140696)Termination phase: Saturation
% 2.02/1.30 % (2140696)Time elapsed: 0.041 s
% 2.02/1.30 % (2140696)Peak memory usage: 88 MB
% 2.02/1.30 % (2140696)Instructions burned: 146 (million)
% 2.02/1.30 % (2140703)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1869100776: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)
% 2.02/1.30 % (2140703)Refutation not found, incomplete strategy
% 2.02/1.30 % (2140703)------------------------------
% 2.02/1.30 % (2140703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.02/1.30 % (2140703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.02/1.30 % (2140703)CaDiCaL version: 2.1.3
% 2.02/1.30 % (2140703)Termination reason: Refutation not found, incomplete strategy
% 2.02/1.30 % (2140703)Time elapsed: 0.002 s
% 2.02/1.30 % (2140703)Peak memory usage: 87 MB
% 2.02/1.30 % (2140703)Instructions burned: 2 (million)
% 2.02/1.30 % (2140704)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=438064042:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 2.02/1.30 % (2140693)Refutation found. Thanks to Tanya!
% 2.02/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.02/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.40 % (2140693)------------------------------
% 0.18/1.40 % (2140693)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.40 % (2140693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.40 % (2140693)CaDiCaL version: 2.1.3
% 0.18/1.40 % (2140693)Termination reason: Refutation
% 0.18/1.40 % (2140693)Time elapsed: 0.017 s
% 0.18/1.40 % (2140693)Peak memory usage: 89 MB
% 0.18/1.40 % (2140693)Instructions burned: 23 (million)
% 0.18/1.40 % (2140693)------------------------------
% 0.18/1.40 % (2140693)------------------------------
% 0.18/1.40 % (2140683)Success in time 0.451 s
% 0.18/1.40 % Vampire exiting
%------------------------------------------------------------------------------