%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP057-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 10:16:33 AM UTC 2026
% Result : Unsatisfiable 6.60s 1.56s
% Output : Refutation 6.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 5
% Syntax : Number of formulae : 100 ( 86 unt; 3 def)
% Number of atoms : 118 ( 91 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 34 ( 16 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 246 ( 0 sgn 246 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),X2))),X3),inverse(multiply(X1,X3))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f2]) ).
fof(f5,definition,
( spl0_1
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f7,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(avatar_component_clause,[],[f5]) ).
fof(f9,definition,
( spl0_2
<=> a2 = multiply(multiply(inverse(b2),b2),a2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f11,plain,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| spl0_2 ),
inference(avatar_component_clause,[],[f9]) ).
fof(f13,definition,
( spl0_3
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f15,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_3 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3,f13,f9,f5]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X3),multiply(inverse(inverse(X1)),X0))),X4),inverse(multiply(X3,X4)))) = multiply(X1,inverse(multiply(multiply(inverse(multiply(inverse(X2),X0)),X5),inverse(multiply(X2,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f41,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(inverse(X2)),multiply(inverse(X2),X0)))),X3),inverse(multiply(X1,X3)))) = X0,
inference(superposition,[],[f17,f1]) ).
fof(f43,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(X0,inverse(multiply(multiply(inverse(multiply(inverse(X1),X2)),X3),inverse(multiply(X1,X3)))))) = X2,
inference(superposition,[],[f1,f17]) ).
fof(f82,plain,
! [X0,X1,X6,X5] : inverse(multiply(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),multiply(X0,X5)))),X6),inverse(multiply(X1,X6)))) = X5,
inference(superposition,[],[f41,f41]) ).
fof(f98,plain,
! [X3,X0,X1] : multiply(inverse(inverse(X3)),multiply(inverse(X3),X0)) = multiply(inverse(X1),multiply(X1,X0)),
inference(superposition,[],[f43,f41]) ).
fof(f113,plain,
! [X0,X4,X5] : multiply(inverse(X5),multiply(X5,X4)) = multiply(inverse(X0),multiply(X0,X4)),
inference(superposition,[],[f98,f41]) ).
fof(f134,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X3),inverse(multiply(inverse(X2),X3))))) = X1,
inference(superposition,[],[f1,f98]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,X1) = multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X4),inverse(multiply(X3,X4)))))),
inference(superposition,[],[f43,f113]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,inverse(multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X3,multiply(multiply(inverse(X3),multiply(inverse(X2),X4)),X1)))))) = X4,
inference(superposition,[],[f1,f113]) ).
fof(f212,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X3,multiply(multiply(inverse(X3),X4),X1))))))) = X4,
inference(superposition,[],[f43,f113]) ).
fof(f378,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))),X3),inverse(multiply(inverse(X1),X3)))) = X2,
inference(superposition,[],[f82,f98]) ).
fof(f386,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X3),multiply(X3,X4))),X1))))) = X4,
inference(superposition,[],[f82,f113]) ).
fof(f453,plain,
! [X2,X3,X0,X1,X4] : multiply(X2,inverse(multiply(multiply(inverse(X0),multiply(X0,X1)),inverse(multiply(inverse(X2),multiply(multiply(inverse(X3),multiply(X3,X4)),X1)))))) = X4,
inference(superposition,[],[f134,f113]) ).
fof(f2850,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(multiply(inverse(X3),multiply(X3,inverse(multiply(multiply(inverse(X4),multiply(X4,X5)),inverse(multiply(X6,multiply(multiply(inverse(X6),X0),X5))))))),inverse(X0)))) = X2,
inference(superposition,[],[f453,f212]) ).
fof(f2916,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(multiply(X0,inverse(X0)))) = X2,
inference(forward_demodulation,[],[f2850,f212]) ).
fof(f2950,plain,
! [X2,X3,X0,X1] : multiply(X2,X1) = multiply(multiply(inverse(inverse(X2)),multiply(inverse(X0),multiply(X0,X1))),inverse(multiply(X3,inverse(X3)))),
inference(superposition,[],[f2916,f113]) ).
fof(f2995,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X1),multiply(X1,X2))),X2) = multiply(inverse(multiply(inverse(X3),multiply(X3,X0))),X0),
inference(superposition,[],[f206,f2916]) ).
fof(f3309,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(inverse(multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),inverse(multiply(X5,multiply(multiply(inverse(X5),X6),X4))))))))),multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X1)) = X6,
inference(superposition,[],[f212,f2995]) ).
fof(f3319,plain,
! [X0,X1,X6] : multiply(inverse(inverse(X6)),multiply(inverse(multiply(inverse(X0),multiply(X0,X1))),X1)) = X6,
inference(forward_demodulation,[],[f3309,f212]) ).
fof(f3521,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(multiply(inverse(inverse(X1)),multiply(inverse(multiply(inverse(X3),multiply(X3,X0))),X0)),inverse(multiply(X4,inverse(X4)))),
inference(superposition,[],[f2950,f2916]) ).
fof(f3644,plain,
! [X2,X1,X4] : multiply(X1,inverse(multiply(X2,inverse(X2)))) = multiply(X1,inverse(multiply(X4,inverse(X4)))),
inference(forward_demodulation,[],[f3521,f3319]) ).
fof(f3813,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X5,inverse(X5))) = multiply(inverse(X2),multiply(X2,inverse(multiply(multiply(inverse(X3),multiply(X3,X4)),inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))),X4))))))),
inference(superposition,[],[f212,f3644]) ).
fof(f3847,plain,
! [X1,X5] : inverse(multiply(X5,inverse(X5))) = inverse(multiply(X1,inverse(X1))),
inference(forward_demodulation,[],[f3813,f212]) ).
fof(f4067,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(X1)) = multiply(inverse(inverse(multiply(X0,inverse(X0)))),multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3)),
inference(superposition,[],[f3319,f3847]) ).
fof(f4070,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f4067,f3319]) ).
fof(f4079,plain,
! [X2,X0,X1] : multiply(X2,inverse(X2)) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f4070,f3847]) ).
fof(f4119,plain,
! [X2,X0,X1] : multiply(inverse(X2),multiply(X0,inverse(X0))) = multiply(inverse(X1),multiply(X1,inverse(X2))),
inference(superposition,[],[f113,f4070]) ).
fof(f4717,plain,
! [X0,X4,X5] : multiply(inverse(X5),multiply(X5,X0)) = multiply(X0,multiply(X4,inverse(X4))),
inference(superposition,[],[f4119,f41]) ).
fof(f5100,plain,
! [X3,X0,X1] : multiply(multiply(X0,multiply(X1,inverse(X1))),inverse(multiply(X3,inverse(X3)))) = X0,
inference(superposition,[],[f2916,f4717]) ).
fof(f5708,plain,
! [X2,X3,X0,X1] : inverse(inverse(X1)) = multiply(X1,inverse(multiply(multiply(inverse(X2),multiply(X2,inverse(multiply(X3,inverse(X3))))),inverse(multiply(X0,inverse(X0)))))),
inference(superposition,[],[f209,f5100]) ).
fof(f5753,plain,
! [X3,X1] : inverse(inverse(X1)) = multiply(X1,inverse(inverse(multiply(X3,inverse(X3))))),
inference(forward_demodulation,[],[f5708,f2916]) ).
fof(f5777,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = inverse(inverse(inverse(multiply(X1,inverse(X1))))),
inference(superposition,[],[f5753,f4070]) ).
fof(f6152,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(X1)) = multiply(multiply(inverse(inverse(multiply(X2,inverse(X2)))),multiply(X0,inverse(X0))),inverse(multiply(X3,inverse(X3)))),
inference(superposition,[],[f4079,f5777]) ).
fof(f6165,plain,
! [X2,X1] : multiply(X1,inverse(X1)) = inverse(inverse(multiply(X2,inverse(X2)))),
inference(forward_demodulation,[],[f6152,f5100]) ).
fof(f6225,plain,
! [X2,X0,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(X2,inverse(inverse(multiply(X0,inverse(X0))))),
inference(superposition,[],[f4717,f6165]) ).
fof(f6312,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = multiply(X1,inverse(X1)),
inference(superposition,[],[f5777,f6165]) ).
fof(f6313,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X1,multiply(X0,inverse(X0))),
inference(superposition,[],[f5753,f6165]) ).
fof(f6458,plain,
! [X2,X1] : inverse(inverse(X2)) = multiply(inverse(X1),multiply(X1,X2)),
inference(forward_demodulation,[],[f6225,f5753]) ).
fof(f6521,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X1,inverse(multiply(X0,inverse(X0)))),
inference(superposition,[],[f5753,f6312]) ).
fof(f6718,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),multiply(X1,X2)),inverse(inverse(multiply(X0,inverse(X0))))) = X2,
inference(superposition,[],[f453,f6312]) ).
fof(f6726,plain,
! [X2,X1] : inverse(inverse(multiply(inverse(X1),multiply(X1,X2)))) = X2,
inference(forward_demodulation,[],[f6718,f5753]) ).
fof(f7364,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f6726,f6458]) ).
fof(f7877,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,X1))))),inverse(multiply(inverse(X2),inverse(multiply(X3,inverse(X3)))))))) = X1,
inference(superposition,[],[f134,f6521]) ).
fof(f7878,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))))),inverse(multiply(inverse(X1),inverse(multiply(X3,inverse(X3))))))) = X2,
inference(superposition,[],[f378,f6521]) ).
fof(f7929,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))))),inverse(inverse(inverse(inverse(X1)))))) = X2,
inference(forward_demodulation,[],[f7878,f6521]) ).
fof(f7930,plain,
! [X2,X0,X1] : multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,X1))))),inverse(inverse(inverse(inverse(X2))))))) = X1,
inference(forward_demodulation,[],[f7877,f6521]) ).
fof(f8039,plain,
! [X2,X0,X1] : inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,multiply(X1,X2)))))),X1)) = X2,
inference(forward_demodulation,[],[f7929,f7364]) ).
fof(f8040,plain,
! [X2,X0,X1] : multiply(X2,inverse(multiply(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,X1))))),X2))) = X1,
inference(forward_demodulation,[],[f7930,f7364]) ).
fof(f8089,plain,
! [X2,X1] : inverse(multiply(inverse(inverse(inverse(inverse(inverse(multiply(X1,X2)))))),X1)) = X2,
inference(forward_demodulation,[],[f8039,f6458]) ).
fof(f8090,plain,
! [X2,X1] : multiply(X2,inverse(multiply(inverse(inverse(inverse(inverse(inverse(X1))))),X2))) = X1,
inference(forward_demodulation,[],[f8040,f6458]) ).
fof(f8108,plain,
! [X2,X1] : inverse(multiply(inverse(multiply(X1,X2)),X1)) = X2,
inference(forward_demodulation,[],[f8089,f7364]) ).
fof(f8109,plain,
! [X2,X1] : multiply(X2,inverse(multiply(inverse(X1),X2))) = X1,
inference(forward_demodulation,[],[f8090,f7364]) ).
fof(f8179,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
inference(superposition,[],[f8108,f8108]) ).
fof(f8180,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(inverse(multiply(X0,inverse(X0))),X1))))) = X1,
inference(superposition,[],[f8108,f6521]) ).
fof(f8192,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))))) = X1,
inference(superposition,[],[f8108,f6313]) ).
fof(f8386,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[],[f8192,f7364]) ).
fof(f8397,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X0))),X1) = X1,
inference(forward_demodulation,[],[f8180,f7364]) ).
fof(f8835,plain,
! [X2,X0,X1] : multiply(multiply(X2,inverse(X0)),inverse(multiply(inverse(X0),multiply(X1,inverse(X1))))) = X2,
inference(superposition,[],[f8109,f4119]) ).
fof(f9024,plain,
! [X2,X0] : multiply(multiply(X2,inverse(X0)),inverse(inverse(inverse(inverse(X0))))) = X2,
inference(forward_demodulation,[],[f8835,f6313]) ).
fof(f9077,plain,
! [X2,X0] : multiply(multiply(X2,inverse(X0)),X0) = X2,
inference(forward_demodulation,[],[f9024,f7364]) ).
fof(f9117,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f9077,f8109]) ).
fof(f9184,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(X1))),X0),inverse(multiply(X2,inverse(X2)))) = X1,
inference(superposition,[],[f2916,f9077]) ).
fof(f9240,plain,
! [X0,X1] : inverse(inverse(multiply(inverse(multiply(X0,inverse(X1))),X0))) = X1,
inference(forward_demodulation,[],[f9184,f6521]) ).
fof(f9314,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f9240,f8108]) ).
fof(f9485,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f8386,f9314]) ).
fof(f9691,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(superposition,[],[f9117,f9314]) ).
fof(f12876,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(superposition,[],[f8109,f8179]) ).
fof(f13471,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3) = multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X1),
inference(superposition,[],[f2995,f8397]) ).
fof(f13733,plain,
! [X2,X3,X1] : multiply(inverse(multiply(inverse(X2),multiply(X2,X3))),X3) = multiply(inverse(X1),X1),
inference(forward_demodulation,[],[f13471,f8386]) ).
fof(f13921,plain,
! [X3,X1] : multiply(inverse(inverse(inverse(X3))),X3) = multiply(inverse(X1),X1),
inference(forward_demodulation,[],[f13733,f6458]) ).
fof(f14045,plain,
! [X3,X1] : multiply(inverse(X3),X3) = multiply(inverse(X1),X1),
inference(forward_demodulation,[],[f13921,f9314]) ).
fof(f16920,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(inverse(X1),multiply(X1,X2))) = multiply(X3,multiply(multiply(inverse(X3),multiply(inverse(X4),multiply(X4,X0))),X2)),
inference(superposition,[],[f12876,f386]) ).
fof(f17149,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),multiply(X1,X2))) = multiply(X3,multiply(multiply(inverse(X3),inverse(inverse(X0))),X2)),
inference(forward_demodulation,[],[f16920,f6458]) ).
fof(f17282,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(X1),multiply(X1,X2))) = multiply(X3,multiply(multiply(inverse(X3),X0),X2)),
inference(forward_demodulation,[],[f17149,f9314]) ).
fof(f17368,plain,
! [X2,X3,X0] : multiply(X3,multiply(multiply(inverse(X3),X0),X2)) = multiply(X0,inverse(inverse(X2))),
inference(forward_demodulation,[],[f17282,f6458]) ).
fof(f17414,plain,
! [X2,X3,X0] : multiply(X0,X2) = multiply(X3,multiply(multiply(inverse(X3),X0),X2)),
inference(forward_demodulation,[],[f17368,f9314]) ).
fof(f36892,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,X2)) = multiply(multiply(X1,X0),X2),
inference(superposition,[],[f17414,f9691]) ).
fof(f37988,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_1 ),
inference(superposition,[],[f7,f36892]) ).
fof(f38131,plain,
( $false
| spl0_1 ),
inference(trivial_inequality_removal,[],[f37988]) ).
fof(f38132,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f38131]) ).
fof(f39597,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f11,f9485]) ).
fof(f39598,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f39597]) ).
fof(f39599,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f15,f14045]) ).
fof(f39600,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f39599]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f16]) ).
cnf(s11287,plain,
spl0_1,
inference(sat_conversion,[],[f38132]) ).
cnf(s11398,plain,
spl0_2,
inference(sat_conversion,[],[f39598]) ).
cnf(s11399,plain,
spl0_3,
inference(sat_conversion,[],[f39600]) ).
cnf(s11400,plain,
$false,
inference(rat,[],[s4,s11399,s11398,s11287]) ).
fof(f39601,plain,
$false,
inference(avatar_sat_refutation,[],[s11400]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP057-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 09:15:10 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.47 Running first-order model finding
% 0.16/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.60/1.56 % (1144122)Will run a generic schedule for satisfiability detection.
% 6.60/1.56 % (1144132)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=575274281:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 6.60/1.56 % (1144128)% WARNING: option uhcvi not known.
% 6.60/1.56 % (1144127)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1677698266_3000 on theBenchmark for (3000ds/0Mi)
% 6.60/1.56 % (1144130)dis+10_1_sil=32000:sp=arity:random_seed=713885549:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 6.60/1.56 % (1144128)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=263028052:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 6.60/1.56 % (1144133)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3155901048:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 6.60/1.56 % TRYING [1]
% 6.60/1.56 % TRYING [2]
% 6.60/1.56 % (1144131)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=85438840:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 6.60/1.56 % TRYING [3]
% 6.60/1.56 % (1144129)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=356445998:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 6.60/1.56 % (1144132)Instruction limit reached!
% 6.60/1.56 % (1144132)------------------------------
% 6.60/1.56 % (1144132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144132)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144132)Termination reason: Instruction limit
% 6.60/1.56 % (1144132)Termination phase: Saturation
% 6.60/1.56 % (1144132)Time elapsed: 0.040 s
% 6.60/1.56 % (1144132)Peak memory usage: 13 MB
% 6.60/1.56 % (1144132)Instructions burned: 134 (million)
% 6.60/1.56 % TRYING [4]
% 6.60/1.56 % (1144142)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2321922210:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.60/1.56 % TRYING [1]
% 6.60/1.56 % TRYING [2]
% 6.60/1.56 % TRYING [3]
% 6.60/1.56 % (1144130)Instruction limit reached!
% 6.60/1.56 % (1144130)------------------------------
% 6.60/1.56 % (1144130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144130)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144130)Termination reason: Instruction limit
% 6.60/1.56 % (1144130)Termination phase: Saturation
% 6.60/1.56 % (1144130)Time elapsed: 0.053 s
% 6.60/1.56 % (1144130)Peak memory usage: 12 MB
% 6.60/1.56 % (1144130)Instructions burned: 103 (million)
% 6.60/1.56 % TRYING [4]
% 6.60/1.56 % (1144131)Instruction limit reached!
% 6.60/1.56 % (1144131)------------------------------
% 6.60/1.56 % (1144131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144131)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144131)Termination reason: Instruction limit
% 6.60/1.56 % (1144131)Termination phase: Saturation
% 6.60/1.56 % (1144131)Time elapsed: 0.065 s
% 6.60/1.56 % (1144131)Peak memory usage: 12 MB
% 6.60/1.56 % (1144131)Instructions burned: 116 (million)
% 6.60/1.56 % (1144144)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1174244001:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.60/1.56 % (1144145)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2691770901:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.60/1.56 % (1144133)Instruction limit reached!
% 6.60/1.56 % (1144133)------------------------------
% 6.60/1.56 % (1144133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144133)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144133)Termination reason: Instruction limit
% 6.60/1.56 % (1144133)Termination phase: Saturation
% 6.60/1.56 % (1144133)Time elapsed: 0.095 s
% 6.60/1.56 % (1144133)Peak memory usage: 13 MB
% 6.60/1.56 % (1144133)Instructions burned: 159 (million)
% 6.60/1.56 % (1144148)ott-21_1_sil=16000:fs=off:random_seed=3840299112:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.60/1.56 % (1144144)Instruction limit reached!
% 6.60/1.56 % (1144144)------------------------------
% 6.60/1.56 % (1144144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144144)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144144)Termination reason: Instruction limit
% 6.60/1.56 % (1144144)Termination phase: Saturation
% 6.60/1.56 % (1144144)Time elapsed: 0.075 s
% 6.60/1.56 % (1144144)Peak memory usage: 13 MB
% 6.60/1.56 % (1144144)Instructions burned: 131 (million)
% 6.60/1.56 % (1144168)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1823714953:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.60/1.56 % (1144148)Instruction limit reached!
% 6.60/1.56 % (1144148)------------------------------
% 6.60/1.56 % (1144148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144148)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144148)Termination reason: Instruction limit
% 6.60/1.56 % (1144148)Termination phase: Saturation
% 6.60/1.56 % (1144148)Time elapsed: 0.092 s
% 6.60/1.56 % (1144148)Peak memory usage: 12 MB
% 6.60/1.56 % (1144148)Instructions burned: 182 (million)
% 6.60/1.56 % (1144191)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=641703140:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.60/1.56 % TRYING [1]
% 6.60/1.56 % TRYING [2]
% 6.60/1.56 % TRYING [3]
% 6.60/1.56 % TRYING [4]
% 6.60/1.56 % (1144142)Instruction limit reached!
% 6.60/1.56 % (1144142)------------------------------
% 6.60/1.56 % (1144142)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144142)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144142)Termination reason: Instruction limit
% 6.60/1.56 % (1144142)Termination phase: Finite model building SAT solving
% 6.60/1.56 % (1144142)Time elapsed: 0.220 s
% 6.60/1.56 % (1144142)Peak memory usage: 12 MB
% 6.60/1.56 % (1144142)Instructions burned: 716 (million)
% 6.60/1.56 % (1144219)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2053885373:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.60/1.56 % (1144168)Instruction limit reached!
% 6.60/1.56 % (1144168)------------------------------
% 6.60/1.56 % (1144168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144168)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144168)Termination reason: Instruction limit
% 6.60/1.56 % (1144168)Termination phase: Saturation
% 6.60/1.56 % (1144168)Time elapsed: 0.239 s
% 6.60/1.56 % (1144168)Peak memory usage: 15 MB
% 6.60/1.56 % (1144168)Instructions burned: 478 (million)
% 6.60/1.56 % (1144259)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4225230089:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.60/1.56 % (1144145)Instruction limit reached!
% 6.60/1.56 % (1144145)------------------------------
% 6.60/1.56 % (1144145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144145)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144145)Termination reason: Instruction limit
% 6.60/1.56 % (1144145)Termination phase: Saturation
% 6.60/1.56 % (1144145)Time elapsed: 0.346 s
% 6.60/1.56 % (1144145)Peak memory usage: 18 MB
% 6.60/1.56 % (1144145)Instructions burned: 684 (million)
% 6.60/1.56 % (1144263)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=739461226:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 6.60/1.56 % TRYING [14]
% 6.60/1.56 % (1144219)Instruction limit reached!
% 6.60/1.56 % (1144219)------------------------------
% 6.60/1.56 % (1144219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144219)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144219)Termination reason: Instruction limit
% 6.60/1.56 % (1144219)Termination phase: Saturation
% 6.60/1.56 % (1144219)Time elapsed: 0.321 s
% 6.60/1.56 % (1144219)Peak memory usage: 23 MB
% 6.60/1.56 % (1144219)Instructions burned: 1183 (million)
% 6.60/1.56 % (1144293)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3107185189:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 6.60/1.56 % (1144259)Instruction limit reached!
% 6.60/1.56 % (1144259)------------------------------
% 6.60/1.56 % (1144259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144259)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144259)Termination reason: Instruction limit
% 6.60/1.56 % (1144259)Termination phase: Finite model building constraint generation
% 6.60/1.56 % (1144259)Time elapsed: 0.320 s
% 6.60/1.56 % (1144259)Peak memory usage: 81 MB
% 6.60/1.56 % (1144259)Instructions burned: 892 (million)
% 6.60/1.56 % (1144191)Instruction limit reached!
% 6.60/1.56 % (1144191)------------------------------
% 6.60/1.56 % (1144191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144191)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144191)Termination reason: Instruction limit
% 6.60/1.56 % (1144191)Termination phase: Finite model building SAT solving
% 6.60/1.56 % (1144191)Time elapsed: 0.532 s
% 6.60/1.56 % (1144191)Peak memory usage: 12 MB
% 6.60/1.56 % (1144191)Instructions burned: 865 (million)
% 6.60/1.56 % (1144314)fmb+10_1_sil=64000:random_seed=4206746805:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 6.60/1.56 % TRYING [1]
% 6.60/1.56 % TRYING [2]
% 6.60/1.56 % (1144315)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1407867907:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 6.60/1.56 % TRYING [3]
% 6.60/1.56 % TRYING [20]
% 6.60/1.56 % TRYING [4]
% 6.60/1.56 % (1144293)Instruction limit reached!
% 6.60/1.56 % (1144293)------------------------------
% 6.60/1.56 % (1144293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144293)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144293)Termination reason: Instruction limit
% 6.60/1.56 % (1144293)Termination phase: Saturation
% 6.60/1.56 % (1144293)Time elapsed: 0.232 s
% 6.60/1.56 % (1144293)Peak memory usage: 18 MB
% 6.60/1.56 % (1144293)Instructions burned: 882 (million)
% 6.60/1.56 % (1144318)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3234992548:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 6.60/1.56 % TRYING [8]
% 6.60/1.56 % (1144263)Instruction limit reached!
% 6.60/1.56 % (1144263)------------------------------
% 6.60/1.56 % (1144263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144263)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144263)Termination reason: Instruction limit
% 6.60/1.56 % (1144263)Termination phase: Saturation
% 6.60/1.56 % (1144263)Time elapsed: 0.408 s
% 6.60/1.56 % (1144263)Peak memory usage: 18 MB
% 6.60/1.56 % (1144263)Instructions burned: 693 (million)
% 6.60/1.56 % (1144320)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1737990486:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 6.60/1.56 % (1144129) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1144122-1144129"...
% 6.60/1.56 % (1144129)...printing done.
% 6.60/1.56 % (1144129)Refutation found. Thanks to Tanya!
% 6.60/1.56 % SZS status Unsatisfiable for theBenchmark
% 6.60/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 6.60/1.56 % (1144129)------------------------------
% 6.60/1.56 % (1144129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/1.56 % (1144129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/1.56 % (1144129)CaDiCaL version: 2.1.3
% 6.60/1.56 % (1144129)Termination reason: Refutation
% 6.60/1.56 % (1144129)Time elapsed: 1.035 s
% 6.60/1.56 % (1144129)Peak memory usage: 33 MB
% 6.60/1.56 % (1144129)Instructions burned: 1988 (million)
% 6.60/1.56 % (1144122)Success in time 1.072 s
% 6.60/1.56 % Vampire exiting
%------------------------------------------------------------------------------