%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP126-3.004 : 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 : 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 10:12:45 AM UTC 2026
% Result : Unsatisfiable 1.03s 0.98s
% Output : Refutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 37
% Syntax : Number of formulae : 226 ( 44 unt; 21 def)
% Number of atoms : 657 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 705 ( 274 ~; 410 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 22 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 88 ( 0 sgn 88 !; 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(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(f34,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_4) ).
fof(f38,axiom,
! [X0,X1] :
( product(X0,X1,e_4)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f39,axiom,
! [X2,X3,X0,X1] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).
fof(f40,axiom,
! [X2,X3,X0,X1] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f41,axiom,
! [X2,X3,X0,X1] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
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] :
( product(X2,X3,X1)
| ~ product(X1,X0,X3)
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg4) ).
fof(f49,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f26,f41]) ).
fof(f50,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f26,f40]) ).
fof(f52,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f27,f41]) ).
fof(f53,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f27,f40]) ).
fof(f54,plain,
! [X0,X1] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[],[f27,f39]) ).
fof(f55,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[],[f28,f41]) ).
fof(f56,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[],[f28,f40]) ).
fof(f61,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[],[f30,f41]) ).
fof(f62,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[],[f30,f40]) ).
fof(f64,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[],[f31,f41]) ).
fof(f65,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[],[f31,f40]) ).
fof(f73,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[],[f34,f41]) ).
fof(f74,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[],[f34,f40]) ).
fof(f105,plain,
~ product(e_1,e_2,e_2),
inference(resolution,[],[f49,f42]) ).
fof(f116,definition,
( spl0_4
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f118,plain,
( ~ product(e_1,e_2,e_2)
| spl0_4 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f130,plain,
! [X0] :
( ~ product(e_1,X0,e_4)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| ~ group_element(e_3) ),
inference(resolution,[],[f52,f38]) ).
fof(f131,plain,
~ product(e_1,e_3,e_3),
inference(resolution,[],[f52,f42]) ).
fof(f132,plain,
! [X0] :
( ~ product(e_1,X0,e_4)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3) ),
inference(forward_subsumption_resolution,[],[f130,f24]) ).
fof(f138,definition,
( spl0_5
<=> product(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f142,definition,
( spl0_6
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f143,plain,
( ~ product(e_1,e_2,e_1)
| spl0_6 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f144,plain,
( product(e_1,e_2,e_1)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f152,plain,
~ product(e_3,e_1,e_3),
inference(resolution,[],[f53,f42]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,e_1)
| ~ product(e_3,X2,X1)
| ~ product(X2,e_3,X0) ),
inference(resolution,[],[f54,f43]) ).
fof(f158,plain,
! [X2,X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(X1,X2,X0)
| ~ product(X2,X1,e_4) ),
inference(resolution,[],[f55,f43]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ product(X1,X2,e_4)
| ~ product(X0,e_1,X1)
| ~ product(X2,X1,X0) ),
inference(resolution,[],[f56,f43]) ).
fof(f193,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| ~ group_element(e_3)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| ~ group_element(X0) ),
inference(resolution,[],[f62,f38]) ).
fof(f194,plain,
~ product(e_3,e_2,e_3),
inference(resolution,[],[f62,f42]) ).
fof(f195,plain,
! [X0] :
( ~ product(X0,e_2,e_4)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| ~ group_element(X0) ),
inference(forward_subsumption_resolution,[],[f193,f24]) ).
fof(f207,plain,
! [X2,X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X1,X2,e_4)
| ~ product(X2,X1,X0) ),
inference(resolution,[],[f65,f43]) ).
fof(f219,definition,
( spl0_8
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f221,plain,
( ~ product(e_3,e_1,e_3)
| spl0_8 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f223,definition,
( spl0_9
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f225,plain,
( ~ product(e_1,e_3,e_3)
| spl0_9 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f234,definition,
( spl0_10
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f235,plain,
( ~ product(e_1,e_3,e_2)
| spl0_10 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( product(e_1,e_3,e_2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f238,definition,
( spl0_11
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f239,plain,
( ~ product(e_1,e_3,e_1)
| spl0_11 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
( product(e_1,e_3,e_1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(X1,X2,X0)
| ~ product(X2,X1,e_4) ),
inference(resolution,[],[f73,f43]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(X0,e_3,X2)
| ~ product(e_1,X3,X1)
| ~ product(X3,e_1,X2) ),
inference(resolution,[],[f155,f43]) ).
fof(f285,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(X0,e_4,e_4)
| ~ group_element(X1)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| ~ group_element(e_1) ),
inference(resolution,[],[f158,f38]) ).
fof(f298,plain,
! [X0,X1] :
( ~ product(X0,e_4,e_4)
| ~ product(e_4,X0,X1)
| ~ group_element(X1)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3) ),
inference(forward_subsumption_resolution,[],[f285,f22]) ).
fof(f304,definition,
( spl0_15
<=> product(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f308,definition,
( spl0_16
<=> product(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f310,plain,
( product(e_4,e_1,e_2)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f312,definition,
( spl0_17
<=> product(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f313,plain,
( ~ product(e_4,e_1,e_1)
| spl0_17 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f314,plain,
( product(e_4,e_1,e_1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f324,definition,
( spl0_18
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f326,plain,
( product(e_1,e_4,e_3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f328,definition,
( spl0_19
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f330,plain,
( product(e_1,e_4,e_2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f332,definition,
( spl0_20
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f333,plain,
( ~ product(e_1,e_4,e_1)
| spl0_20 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f334,plain,
( product(e_1,e_4,e_1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f415,plain,
! [X0] :
( ~ product(e_4,e_1,X0)
| ~ product(X0,X0,e_4) ),
inference(factoring,[],[f166]) ).
fof(f433,definition,
( spl0_27
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f435,plain,
( ~ product(e_3,e_2,e_3)
| spl0_27 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f460,definition,
( spl0_29
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f461,plain,
( product(e_3,e_2,e_2)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f474,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_6 ),
inference(resolution,[],[f144,f50]) ).
fof(f478,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f474,f42]) ).
fof(f479,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f478]) ).
fof(f481,plain,
! [X0,X1] :
( ~ product(e_4,X0,e_4)
| ~ product(X0,e_4,X1)
| ~ group_element(e_2)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| ~ group_element(X1) ),
inference(resolution,[],[f207,f38]) ).
fof(f485,plain,
! [X0,X1] :
( ~ product(e_4,X0,e_4)
| ~ product(X0,e_4,X1)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| ~ group_element(X1) ),
inference(forward_subsumption_resolution,[],[f481,f23]) ).
fof(f505,definition,
( spl0_30
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f506,plain,
( product(e_4,e_2,e_2)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f507,plain,
( ~ product(e_4,e_2,e_2)
| spl0_30 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f517,plain,
! [X0] :
( ~ product(e_3,X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[],[f252,f42]) ).
fof(f549,plain,
~ spl0_9,
inference(avatar_split_clause,[],[f131,f223]) ).
fof(f565,definition,
( spl0_35
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f566,plain,
( ~ product(e_3,e_1,e_2)
| spl0_35 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f569,definition,
( spl0_36
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f570,plain,
( ~ product(e_3,e_1,e_1)
| spl0_36 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f571,plain,
( product(e_3,e_1,e_1)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f574,plain,
~ spl0_8,
inference(avatar_split_clause,[],[f152,f219]) ).
fof(f652,definition,
( spl0_43
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f653,plain,
( ~ product(e_4,e_2,e_3)
| spl0_43 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f654,plain,
( product(e_4,e_2,e_3)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f656,definition,
( spl0_44
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f657,plain,
( ~ product(e_4,e_2,e_1)
| spl0_44 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f658,plain,
( product(e_4,e_2,e_1)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f664,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_30 ),
inference(resolution,[],[f506,f64]) ).
fof(f674,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f664,f42]) ).
fof(f675,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f746,plain,
( ~ product(e_1,e_2,e_3)
| ~ spl0_43 ),
inference(resolution,[],[f654,f55]) ).
fof(f748,plain,
( ~ product(e_4,e_1,e_3)
| ~ spl0_43 ),
inference(resolution,[],[f654,f50]) ).
fof(f756,plain,
( ~ spl0_15
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f748,f652,f304]) ).
fof(f759,plain,
( ~ spl0_5
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f746,f652,f138]) ).
fof(f787,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| ~ group_element(e_1) ),
inference(resolution,[],[f132,f38]) ).
fof(f789,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_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| ~ group_element(e_1) ),
inference(duplicate_literal_removal,[],[f787]) ).
fof(f790,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_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3) ),
inference(forward_subsumption_resolution,[],[f789,f22]) ).
fof(f792,plain,
( ~ product(e_3,e_1,e_2)
| ~ spl0_16 ),
inference(resolution,[],[f310,f73]) ).
fof(f802,plain,
( ~ spl0_35
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f792,f308,f565]) ).
fof(f812,plain,
( ~ product(e_1,e_2,e_3)
| ~ spl0_18 ),
inference(resolution,[],[f326,f65]) ).
fof(f837,plain,
! [X0] :
( product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| ~ group_element(X0)
| ~ group_element(e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| ~ group_element(X0) ),
inference(resolution,[],[f195,f38]) ).
fof(f839,plain,
! [X0] :
( product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| ~ group_element(X0)
| ~ group_element(e_2)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3) ),
inference(duplicate_literal_removal,[],[f837]) ).
fof(f840,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_1)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3) ),
inference(forward_subsumption_resolution,[],[f839,f23]) ).
fof(f964,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_17 ),
inference(resolution,[],[f314,f55]) ).
fof(f970,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f964,f42]) ).
fof(f971,plain,
~ spl0_17,
inference(avatar_contradiction_clause,[],[f970]) ).
fof(f975,plain,
( ~ product(e_4,e_4,e_4)
| ~ group_element(e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ group_element(e_4) ),
inference(resolution,[],[f415,f38]) ).
fof(f976,plain,
( ~ group_element(e_1)
| product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ group_element(e_4) ),
inference(forward_subsumption_resolution,[],[f975,f42]) ).
fof(f977,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ group_element(e_4) ),
inference(forward_subsumption_resolution,[],[f976,f22]) ).
fof(f1011,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_20 ),
inference(resolution,[],[f334,f56]) ).
fof(f1015,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1011,f42]) ).
fof(f1016,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1086,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f105,f116]) ).
fof(f1200,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| ~ group_element(e_4)
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f977,f313]) ).
fof(f1202,plain,
( product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1200,f25]) ).
fof(f1204,plain,
( spl0_15
| spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f1202,f312,f308,f304]) ).
fof(f1205,plain,
( ! [X0] :
( ~ product(e_3,X0,e_2)
| ~ product(X0,e_3,e_4) )
| spl0_43 ),
inference(resolution,[],[f653,f43]) ).
fof(f1207,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_44 ),
inference(resolution,[],[f658,f73]) ).
fof(f1262,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_19 ),
inference(resolution,[],[f330,f74]) ).
fof(f1281,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| ~ product(e_1,e_3,X0)
| ~ product(e_1,e_3,X0) ),
inference(factoring,[],[f274]) ).
fof(f1282,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| ~ product(e_1,e_3,X0) ),
inference(duplicate_literal_removal,[],[f1281]) ).
fof(f1425,plain,
( ~ product(e_4,e_4,e_4)
| ~ group_element(e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(factoring,[],[f298]) ).
fof(f1447,plain,
( ~ product(e_4,e_4,e_4)
| product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| ~ group_element(e_4) ),
inference(factoring,[],[f485]) ).
fof(f1575,plain,
( ~ product(e_1,e_3,e_4)
| ~ group_element(e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ group_element(e_3) ),
inference(resolution,[],[f1282,f38]) ).
fof(f1576,plain,
( ~ product(e_1,e_3,e_4)
| ~ group_element(e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| ~ group_element(e_3) ),
inference(forward_subsumption_resolution,[],[f1575,f517]) ).
fof(f1577,plain,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| ~ group_element(e_3) ),
inference(forward_subsumption_resolution,[],[f1576,f22]) ).
fof(f1578,plain,
( ~ product(e_1,e_3,e_4)
| product(e_3,e_1,e_2)
| ~ group_element(e_3)
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f1577,f570]) ).
fof(f1579,plain,
( ~ product(e_1,e_3,e_4)
| ~ group_element(e_3)
| spl0_36
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f1578,f1205]) ).
fof(f1580,plain,
( ~ product(e_1,e_3,e_4)
| spl0_36
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f1579,f24]) ).
fof(f1588,plain,
( ~ group_element(e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ group_element(e_1)
| spl0_36
| spl0_43 ),
inference(resolution,[],[f1580,f38]) ).
fof(f1590,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ group_element(e_1)
| spl0_36
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f1588,f24]) ).
fof(f1591,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| ~ group_element(e_1)
| spl0_11
| spl0_36
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f1590,f239]) ).
fof(f1592,plain,
( product(e_1,e_3,e_3)
| ~ group_element(e_1)
| spl0_10
| spl0_11
| spl0_36
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f1591,f235]) ).
fof(f1593,plain,
( ~ group_element(e_1)
| spl0_9
| spl0_10
| spl0_11
| spl0_36
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f1592,f225]) ).
fof(f1594,plain,
( $false
| spl0_9
| spl0_10
| spl0_11
| spl0_36
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f1593,f22]) ).
fof(f1595,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_36
| spl0_43 ),
inference(avatar_contradiction_clause,[],[f1594]) ).
fof(f1597,plain,
( ~ spl0_5
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f812,f324,f138]) ).
fof(f1600,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| ~ group_element(e_4) ),
inference(forward_subsumption_resolution,[],[f1447,f42]) ).
fof(f1604,plain,
( ~ group_element(e_4)
| product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(forward_subsumption_resolution,[],[f1425,f42]) ).
fof(f1610,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| ~ group_element(e_4)
| spl0_30 ),
inference(forward_subsumption_resolution,[],[f1600,f507]) ).
fof(f1614,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3) ),
inference(forward_subsumption_resolution,[],[f1604,f25]) ).
fof(f1615,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_3)
| spl0_30 ),
inference(forward_subsumption_resolution,[],[f1610,f25]) ).
fof(f1623,plain,
( product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f1614,f333]) ).
fof(f1624,plain,
( spl0_43
| spl0_44
| spl0_30 ),
inference(avatar_split_clause,[],[f1615,f505,f656,f652]) ).
fof(f1627,plain,
( spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f1623,f332,f328,f324]) ).
fof(f1644,plain,
( ! [X0] :
( ~ product(e_1,X0,e_2)
| ~ product(X0,e_1,e_4) )
| spl0_44 ),
inference(resolution,[],[f657,f43]) ).
fof(f1725,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_36 ),
inference(resolution,[],[f571,f52]) ).
fof(f1740,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1725,f42]) ).
fof(f1741,plain,
~ spl0_36,
inference(avatar_contradiction_clause,[],[f1740]) ).
fof(f1751,definition,
( spl0_73
<=> product(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[spl0_73])],[avatar_definition]) ).
fof(f1757,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[],[f790,f23]) ).
fof(f1875,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[],[f840,f22]) ).
fof(f1888,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f1875,f225]) ).
fof(f2009,plain,
( ~ product(e_3,e_1,e_4)
| ~ spl0_10
| spl0_44 ),
inference(resolution,[],[f1644,f236]) ).
fof(f2013,plain,
( ~ group_element(e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ group_element(e_3)
| ~ spl0_10
| spl0_44 ),
inference(resolution,[],[f2009,f38]) ).
fof(f2015,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ group_element(e_3)
| ~ spl0_10
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f2013,f22]) ).
fof(f2016,plain,
( product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| ~ group_element(e_3)
| ~ spl0_10
| spl0_36
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f2015,f570]) ).
fof(f2017,plain,
( product(e_3,e_1,e_3)
| ~ group_element(e_3)
| ~ spl0_10
| spl0_35
| spl0_36
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f2016,f566]) ).
fof(f2018,plain,
( ~ group_element(e_3)
| spl0_8
| ~ spl0_10
| spl0_35
| spl0_36
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f2017,f221]) ).
fof(f2019,plain,
( $false
| spl0_8
| ~ spl0_10
| spl0_35
| spl0_36
| spl0_44 ),
inference(forward_subsumption_resolution,[],[f2018,f24]) ).
fof(f2020,plain,
( spl0_8
| ~ spl0_10
| spl0_35
| spl0_36
| spl0_44 ),
inference(avatar_contradiction_clause,[],[f2019]) ).
fof(f2021,plain,
( $false
| ~ spl0_10
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1262,f236]) ).
fof(f2022,plain,
( ~ spl0_10
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f2021]) ).
fof(f2125,plain,
( ~ spl0_73
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1207,f656,f1751]) ).
fof(f2128,plain,
~ spl0_27,
inference(avatar_split_clause,[],[f194,f433]) ).
fof(f2133,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| spl0_6
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f1888,f143]) ).
fof(f2144,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| product(e_1,e_2,e_3)
| spl0_4
| spl0_6
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f2133,f118]) ).
fof(f2162,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f1757,f143]) ).
fof(f2166,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_1,e_2,e_3)
| spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f2162,f118]) ).
fof(f2174,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_29 ),
inference(resolution,[],[f461,f61]) ).
fof(f2190,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f2174,f42]) ).
fof(f2191,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f2190]) ).
fof(f2200,plain,
( spl0_5
| spl0_11
| spl0_10
| spl0_4
| spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f2144,f223,f142,f116,f234,f238,f138]) ).
fof(f2201,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_1,e_2,e_3)
| spl0_4
| spl0_6
| spl0_27 ),
inference(forward_subsumption_resolution,[],[f2166,f435]) ).
fof(f2206,plain,
( spl0_5
| spl0_29
| spl0_73
| spl0_4
| spl0_6
| spl0_27 ),
inference(avatar_split_clause,[],[f2201,f433,f142,f116,f1751,f460,f138]) ).
fof(f2245,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_11 ),
inference(resolution,[],[f240,f53]) ).
fof(f2249,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f2245,f42]) ).
fof(f2250,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f2249]) ).
cnf(s23,plain,
~ spl0_6,
inference(sat_conversion,[],[f479]) ).
cnf(s27,plain,
~ spl0_9,
inference(sat_conversion,[],[f549]) ).
cnf(s34,plain,
~ spl0_8,
inference(sat_conversion,[],[f574]) ).
cnf(s50,plain,
~ spl0_30,
inference(sat_conversion,[],[f675]) ).
cnf(s67,plain,
( ~ spl0_15
| ~ spl0_43 ),
inference(sat_conversion,[],[f756]) ).
cnf(s69,plain,
( ~ spl0_5
| ~ spl0_43 ),
inference(sat_conversion,[],[f759]) ).
cnf(s71,plain,
( ~ spl0_16
| ~ spl0_35 ),
inference(sat_conversion,[],[f802]) ).
cnf(s92,plain,
~ spl0_17,
inference(sat_conversion,[],[f971]) ).
cnf(s99,plain,
~ spl0_20,
inference(sat_conversion,[],[f1016]) ).
cnf(s111,plain,
~ spl0_4,
inference(sat_conversion,[],[f1086]) ).
cnf(s139,plain,
( spl0_15
| spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f1204]) ).
cnf(s156,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_36
| spl0_43 ),
inference(sat_conversion,[],[f1595]) ).
cnf(s161,plain,
( ~ spl0_5
| ~ spl0_18 ),
inference(sat_conversion,[],[f1597]) ).
cnf(s180,plain,
( spl0_30
| spl0_43
| spl0_44 ),
inference(sat_conversion,[],[f1624]) ).
cnf(s183,plain,
( spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f1627]) ).
cnf(s192,plain,
~ spl0_36,
inference(sat_conversion,[],[f1741]) ).
cnf(s214,plain,
( spl0_8
| ~ spl0_10
| spl0_35
| spl0_36
| spl0_44 ),
inference(sat_conversion,[],[f2020]) ).
cnf(s222,plain,
( ~ spl0_10
| ~ spl0_19 ),
inference(sat_conversion,[],[f2022]) ).
cnf(s267,plain,
( ~ spl0_44
| ~ spl0_73 ),
inference(sat_conversion,[],[f2125]) ).
cnf(s268,plain,
~ spl0_27,
inference(sat_conversion,[],[f2128]) ).
cnf(s285,plain,
~ spl0_29,
inference(sat_conversion,[],[f2191]) ).
cnf(s292,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_9
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f2200]) ).
cnf(s295,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_27
| spl0_29
| spl0_73 ),
inference(sat_conversion,[],[f2206]) ).
cnf(s302,plain,
~ spl0_11,
inference(sat_conversion,[],[f2250]) ).
cnf(s303,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_9
| spl0_10 ),
inference(rat,[],[s292,s302]) ).
cnf(s328,plain,
( spl0_9
| spl0_10
| spl0_43 ),
inference(rat,[],[s156,s192,s302]) ).
cnf(s349,plain,
( ~ spl0_10
| spl0_44 ),
inference(rat,[],[s139,s67,s71,s180,s214,s192,s34,s50,s92]) ).
cnf(s350,plain,
spl0_5,
inference(rat,[],[s349,s267,s303,s295,s111,s27,s23,s268,s285]) ).
cnf(s353,plain,
~ spl0_18,
inference(rat,[],[s161,s350]) ).
cnf(s354,plain,
~ spl0_43,
inference(rat,[],[s69,s350]) ).
cnf(s355,plain,
spl0_19,
inference(rat,[],[s183,s99,s353]) ).
cnf(s357,plain,
spl0_10,
inference(rat,[],[s328,s27,s354]) ).
cnf(s360,plain,
$false,
inference(rat,[],[s222,s355,s357]) ).
fof(f2251,plain,
$false,
inference(avatar_sat_refutation,[],[s360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP126-3.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n001.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:31:45 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 1.03/0.98 % (3292708)Input is clausal, will run a generic CNF schedule.
% 1.03/0.98 % (3292718)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1691160456:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.03/0.98 % (3292717)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=893073549:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.03/0.98 % (3292719)dis-21_1_sil=8000:lcm=predicate:random_seed=1873945742: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)
% 1.03/0.98 % (3292716)lrs+10_1_sil=8000:sp=occurrence:random_seed=3788971789:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.03/0.98 % (3292713)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=2230196801:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.03/0.98 % (3292714)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1686322395:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.03/0.98 % (3292715)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=409885929:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.03/0.98 % (3292718)First to succeed.
% 1.03/0.98 % (3292718)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3292708"
% 1.03/0.98 % (3292717)Instruction limit reached!
% 1.03/0.98 % (3292717)------------------------------
% 1.03/0.98 % (3292717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.03/0.98 % (3292717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.98 % (3292717)CaDiCaL version: 2.1.3
% 1.03/0.98 % (3292717)Termination reason: Instruction limit
% 1.03/0.98 % (3292717)Termination phase: Saturation
% 1.03/0.98 % (3292717)Time elapsed: 0.061 s
% 1.03/0.98 % (3292717)Peak memory usage: 88 MB
% 1.03/0.98 % (3292717)Instructions burned: 114 (million)
% 1.03/0.98 % (3292716)Instruction limit reached!
% 1.03/0.98 % (3292716)------------------------------
% 1.03/0.98 % (3292716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.03/0.98 % (3292716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.98 % (3292716)CaDiCaL version: 2.1.3
% 1.03/0.98 % (3292716)Termination reason: Instruction limit
% 1.03/0.98 % (3292716)Termination phase: Saturation
% 1.03/0.98 % (3292716)Time elapsed: 0.064 s
% 1.03/0.98 % (3292716)Peak memory usage: 88 MB
% 1.03/0.98 % (3292716)Instructions burned: 107 (million)
% 1.03/0.98 % (3292719)Instruction limit reached!
% 1.03/0.98 % (3292719)------------------------------
% 1.03/0.98 % (3292719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.03/0.98 % (3292719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.98 % (3292719)CaDiCaL version: 2.1.3
% 1.03/0.98 % (3292719)Termination reason: Instruction limit
% 1.03/0.98 % (3292719)Termination phase: Saturation
% 1.03/0.98 % (3292719)Time elapsed: 0.078 s
% 1.03/0.98 % (3292719)Peak memory usage: 89 MB
% 1.03/0.98 % (3292719)Instructions burned: 118 (million)
% 1.03/0.98 % (3292718)Refutation found. Thanks to Tanya!
% 1.03/0.98 % SZS status Unsatisfiable for theBenchmark
% 1.03/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.78/1.09 % (3292718)------------------------------
% 2.78/1.09 % (3292718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.09 % (3292718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.09 % (3292718)CaDiCaL version: 2.1.3
% 2.78/1.09 % (3292718)Termination reason: Refutation
% 2.78/1.09 % (3292718)Time elapsed: 0.030 s
% 2.78/1.09 % (3292718)Peak memory usage: 90 MB
% 2.78/1.09 % (3292718)Instructions burned: 86 (million)
% 2.78/1.09 % (3292718)------------------------------
% 2.78/1.09 % (3292718)------------------------------
% 2.78/1.09 % (3292708)Success in time 0.346 s
% 2.78/1.09 % Vampire exiting
%------------------------------------------------------------------------------