%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP061-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 10:12:29 AM UTC 2026
% Result : Unsatisfiable 11.78s 2.55s
% Output : Refutation 12.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 16
% Syntax : Number of formulae : 191 ( 178 unt; 14 def)
% Number of atoms : 209 ( 185 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 18 con; 0-2 aty)
% Number of variables : 399 ( 0 sgn 399 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2))))))) = X3,
file('/export/starexec/sandbox/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/sandbox/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(f4,definition,
sF0 = inverse(a1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
inverse(a1) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = multiply(sF0,a1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
multiply(sF0,a1) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = inverse(b1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
inverse(b1) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF3 = multiply(sF2,b1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f11,plain,
multiply(sF2,b1) = sF3,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF4 = inverse(b2),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f13,plain,
inverse(b2) = sF4,
inference(reorient_equations,[],[f12]) ).
fof(f14,definition,
sF5 = multiply(sF4,b2),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f15,plain,
multiply(sF4,b2) = sF5,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF6 = multiply(sF5,a2),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f17,plain,
multiply(sF5,a2) = sF6,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF7 = multiply(a3,b3),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f19,plain,
multiply(a3,b3) = sF7,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF8 = multiply(sF7,c3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f21,plain,
multiply(sF7,c3) = sF8,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF9 = multiply(b3,c3),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f23,plain,
multiply(b3,c3) = sF9,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF10 = multiply(a3,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f25,plain,
multiply(a3,sF9) = sF10,
inference(reorient_equations,[],[f24]) ).
fof(f26,plain,
( sF1 != sF3
| a2 != sF6
| sF8 != sF10 ),
inference(definition_folding,[],[f3,f25,f23,f21,f19,f17,f15,f13,f11,f9,f7,f5]) ).
fof(f28,definition,
( spl11_1
<=> sF8 = sF10 ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f30,plain,
( sF8 != sF10
| spl11_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f32,definition,
( spl11_2
<=> a2 = sF6 ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f36,definition,
( spl11_3
<=> sF1 = sF3 ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f38,plain,
( sF1 != sF3
| spl11_3 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f39,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f26,f36,f32,f28]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X1,multiply(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(X0,multiply(X2,X4)))))),multiply(multiply(X0,X5),inverse(multiply(X6,multiply(X1,X5))))))) = X6,
inference(superposition,[],[f1,f1]) ).
fof(f41,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),X3),inverse(multiply(X0,multiply(X4,X3))))),X0)))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f48,plain,
! [X2,X0,X1] : inverse(multiply(X0,multiply(a1,multiply(multiply(sF0,X1),inverse(multiply(X2,multiply(X0,X1))))))) = X2,
inference(superposition,[],[f1,f5]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(inverse(X3),X4),inverse(multiply(X5,multiply(X0,X4))))),X5)),X0)))) = X3,
inference(superposition,[],[f1,f41]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X6,multiply(X7,multiply(multiply(inverse(X7),X8),inverse(multiply(X3,multiply(X6,X8)))))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(multiply(inverse(X1),multiply(multiply(X3,X4),inverse(multiply(X0,multiply(X5,X4))))),X0)),X5)))),
inference(superposition,[],[f41,f40]) ).
fof(f487,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(inverse(X3),multiply(X0,X2)))))) = X3,
inference(superposition,[],[f73,f111]) ).
fof(f583,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,multiply(multiply(inverse(X3),X4),inverse(multiply(inverse(X0),multiply(X1,X4)))))),inverse(multiply(X5,X0)))))) = X5,
inference(superposition,[],[f1,f487]) ).
fof(f667,plain,
! [X0,X1,X4] : inverse(multiply(inverse(X1),multiply(X1,multiply(X0,inverse(multiply(X4,X0)))))) = X4,
inference(superposition,[],[f583,f487]) ).
fof(f767,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,multiply(multiply(inverse(X3),multiply(X4,inverse(multiply(X0,X4)))),X0))),inverse(multiply(X5,X1)))))) = X5,
inference(superposition,[],[f583,f667]) ).
fof(f768,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(X0,X3)))),X0))) = X1,
inference(superposition,[],[f487,f667]) ).
fof(f769,plain,
! [X2,X3,X0,X1] : inverse(X1) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(X0,X3)))),X0)))),
inference(superposition,[],[f1,f667]) ).
fof(f800,plain,
! [X2,X1,X5] : inverse(multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(X5,X1)))))) = X5,
inference(forward_demodulation,[],[f767,f768]) ).
fof(f845,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X1),inverse(multiply(X0,X3)))),X0)))) = X3,
inference(superposition,[],[f1,f800]) ).
fof(f1048,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(X4,inverse(multiply(X0,X4)))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(inverse(X1),X0)),inverse(X3))))),
inference(superposition,[],[f845,f667]) ).
fof(f1185,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,inverse(multiply(X2,X1)))) = multiply(X0,multiply(X3,inverse(multiply(X2,X3)))),
inference(superposition,[],[f1048,f1048]) ).
fof(f1258,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,multiply(X1,multiply(inverse(X1),X2))),multiply(X3,inverse(multiply(X2,X3)))) = X0,
inference(superposition,[],[f1,f1048]) ).
fof(f1384,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(inverse(X1),X2)))),X0)) = X2,
inference(superposition,[],[f1,f1258]) ).
fof(f1386,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,multiply(X1,multiply(inverse(X1),inverse(X2))))),X0) = X2,
inference(superposition,[],[f487,f1258]) ).
fof(f1436,plain,
! [X2,X3,X0,X1] : multiply(multiply(inverse(inverse(X2)),X3),inverse(multiply(inverse(X0),multiply(X2,X3)))) = inverse(multiply(inverse(multiply(X1,X0)),X1)),
inference(superposition,[],[f1384,f487]) ).
fof(f1451,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X1,X3),multiply(X4,multiply(inverse(X4),X0)))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),X0)))),
inference(superposition,[],[f1,f1384]) ).
fof(f1457,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X1,X2),multiply(X3,multiply(inverse(X3),X0)))) = inverse(multiply(X1,multiply(a1,multiply(multiply(sF0,X2),X0)))),
inference(superposition,[],[f48,f1384]) ).
fof(f1500,plain,
! [X2,X3,X0,X1] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),X0)))) = inverse(multiply(X1,multiply(a1,multiply(multiply(sF0,X3),X0)))),
inference(forward_demodulation,[],[f1451,f1457]) ).
fof(f1867,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(X2,X4))) = inverse(multiply(inverse(multiply(X3,multiply(X0,multiply(inverse(X0),multiply(X1,inverse(multiply(X2,X1))))))),X3)),
inference(superposition,[],[f1384,f1185]) ).
fof(f1919,plain,
! [X2,X1,X4] : multiply(X1,inverse(multiply(X2,X1))) = multiply(X4,inverse(multiply(X2,X4))),
inference(forward_demodulation,[],[f1867,f1384]) ).
fof(f2047,plain,
! [X0] : multiply(c3,inverse(sF9)) = multiply(X0,inverse(multiply(b3,X0))),
inference(superposition,[],[f1919,f23]) ).
fof(f2048,plain,
! [X0] : multiply(a1,inverse(sF1)) = multiply(X0,inverse(multiply(sF0,X0))),
inference(superposition,[],[f1919,f7]) ).
fof(f2050,plain,
! [X0] : multiply(b2,inverse(sF5)) = multiply(X0,inverse(multiply(sF4,X0))),
inference(superposition,[],[f1919,f15]) ).
fof(f2069,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,multiply(X3,inverse(multiply(X0,X3)))),X0) = multiply(X1,inverse(multiply(inverse(X2),X1))),
inference(superposition,[],[f1919,f667]) ).
fof(f2071,plain,
! [X2,X3,X0,X1] : multiply(X2,X0) = multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(X3,multiply(inverse(X3),X0)))),X1))),
inference(superposition,[],[f1919,f1384]) ).
fof(f2414,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),inverse(X4)) = multiply(inverse(multiply(X3,multiply(X4,multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),X2)))),X3),
inference(superposition,[],[f1386,f2069]) ).
fof(f2600,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(multiply(b3,X1)),inverse(multiply(c3,inverse(sF9))))) = inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),multiply(inverse(X2),X1)),inverse(X0))))),
inference(superposition,[],[f1048,f2047]) ).
fof(f2607,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(multiply(b3,X1)),inverse(multiply(c3,inverse(sF9))))) = inverse(multiply(X2,multiply(a1,multiply(multiply(sF0,multiply(inverse(X2),X1)),inverse(X0))))),
inference(forward_demodulation,[],[f2600,f1500]) ).
fof(f2716,plain,
! [X2,X3,X0,X1] : inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),multiply(inverse(X2),X1)),inverse(X0))))) = multiply(X0,multiply(inverse(multiply(sF4,X1)),inverse(multiply(b2,inverse(sF5))))),
inference(superposition,[],[f1048,f2050]) ).
fof(f2723,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(a1,multiply(multiply(sF0,multiply(inverse(X2),X1)),inverse(X0))))) = multiply(X0,multiply(inverse(multiply(sF4,X1)),inverse(multiply(b2,inverse(sF5))))),
inference(forward_demodulation,[],[f2716,f1500]) ).
fof(f2748,plain,
! [X0,X1] : multiply(X0,multiply(inverse(multiply(b3,X1)),inverse(multiply(c3,inverse(sF9))))) = multiply(X0,multiply(inverse(multiply(sF4,X1)),inverse(multiply(b2,inverse(sF5))))),
inference(forward_demodulation,[],[f2723,f2607]) ).
fof(f3170,plain,
! [X2,X3,X0,X1] : inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),multiply(inverse(X2),X1)),inverse(X0))))) = multiply(X0,multiply(inverse(multiply(sF0,X1)),inverse(multiply(a1,inverse(sF1))))),
inference(superposition,[],[f1048,f2048]) ).
fof(f3179,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(a1,multiply(multiply(sF0,multiply(inverse(X2),X1)),inverse(X0))))) = multiply(X0,multiply(inverse(multiply(sF0,X1)),inverse(multiply(a1,inverse(sF1))))),
inference(forward_demodulation,[],[f3170,f1500]) ).
fof(f3210,plain,
! [X0,X1] : multiply(X0,multiply(inverse(multiply(b3,X1)),inverse(multiply(c3,inverse(sF9))))) = multiply(X0,multiply(inverse(multiply(sF0,X1)),inverse(multiply(a1,inverse(sF1))))),
inference(forward_demodulation,[],[f3179,f2607]) ).
fof(f3218,plain,
! [X0,X1] : multiply(X0,multiply(inverse(multiply(sF4,X1)),inverse(multiply(b2,inverse(sF5))))) = multiply(X0,multiply(inverse(multiply(sF0,X1)),inverse(multiply(a1,inverse(sF1))))),
inference(forward_demodulation,[],[f3210,f2748]) ).
fof(f3814,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),inverse(multiply(inverse(multiply(X0,X1)),X0)))) = X1,
inference(superposition,[],[f487,f1436]) ).
fof(f4120,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),X1)) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3814,f2071]) ).
fof(f4127,plain,
! [X3,X0,X1] : multiply(inverse(multiply(X1,X0)),X1) = multiply(inverse(multiply(X3,X0)),X3),
inference(superposition,[],[f1386,f3814]) ).
fof(f4360,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(X4,X3)))),X4)))),X1),
inference(superposition,[],[f4127,f769]) ).
fof(f4649,plain,
! [X2,X0] : multiply(inverse(X0),X0) = multiply(inverse(inverse(X2)),inverse(X2)),
inference(forward_demodulation,[],[f4360,f2414]) ).
fof(f4777,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f4649,f4649]) ).
fof(f5044,plain,
! [X0] : multiply(sF0,a1) = multiply(inverse(X0),X0),
inference(superposition,[],[f4777,f5]) ).
fof(f5045,plain,
! [X0] : multiply(sF2,b1) = multiply(inverse(X0),X0),
inference(superposition,[],[f4777,f9]) ).
fof(f5046,plain,
! [X0] : multiply(sF4,b2) = multiply(inverse(X0),X0),
inference(superposition,[],[f4777,f13]) ).
fof(f5178,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),multiply(inverse(X3),inverse(X2))),inverse(X1))))) = multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f1048,f4777]) ).
fof(f5185,plain,
! [X2,X0,X1] : multiply(X2,inverse(multiply(inverse(X1),X2))) = multiply(X1,inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f1919,f4777]) ).
fof(f5255,plain,
! [X2,X3,X0,X1] : inverse(multiply(X3,multiply(a1,multiply(multiply(sF0,multiply(inverse(X3),inverse(X2))),inverse(X1))))) = multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f5178,f1500]) ).
fof(f5317,plain,
! [X0] : sF5 = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f5046,f15]) ).
fof(f5318,plain,
! [X0] : sF3 = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f5045,f11]) ).
fof(f5319,plain,
! [X0] : sF1 = multiply(inverse(X0),X0),
inference(forward_demodulation,[],[f5044,f7]) ).
fof(f5336,plain,
! [X2,X0,X1] : multiply(X1,multiply(inverse(multiply(b3,inverse(X2))),inverse(multiply(c3,inverse(sF9))))) = multiply(X1,multiply(X2,inverse(multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f5255,f2607]) ).
fof(f5354,plain,
sF3 = sF5,
inference(forward_demodulation,[],[f5318,f5317]) ).
fof(f5355,plain,
sF1 = sF5,
inference(forward_demodulation,[],[f5319,f5317]) ).
fof(f5363,plain,
! [X2,X1] : multiply(X1,multiply(inverse(multiply(b3,inverse(X2))),inverse(multiply(c3,inverse(sF9))))) = multiply(X1,multiply(X2,inverse(sF5))),
inference(forward_demodulation,[],[f5336,f5317]) ).
fof(f5374,plain,
! [X2,X1] : multiply(X1,multiply(inverse(multiply(sF4,inverse(X2))),inverse(multiply(b2,inverse(sF5))))) = multiply(X1,multiply(X2,inverse(sF5))),
inference(forward_demodulation,[],[f5363,f2748]) ).
fof(f5384,plain,
! [X2,X1] : multiply(X1,multiply(inverse(multiply(sF0,inverse(X2))),inverse(multiply(a1,inverse(sF1))))) = multiply(X1,multiply(X2,inverse(sF5))),
inference(forward_demodulation,[],[f5374,f3218]) ).
fof(f5390,plain,
! [X2,X1] : multiply(X1,multiply(X2,inverse(sF5))) = multiply(X1,multiply(inverse(multiply(sF0,inverse(X2))),inverse(multiply(a1,inverse(sF5))))),
inference(forward_demodulation,[],[f5384,f5355]) ).
fof(f5438,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),X2) = multiply(X0,inverse(sF5)),
inference(superposition,[],[f2069,f5317]) ).
fof(f5456,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(inverse(X0),multiply(X0,multiply(X1,inverse(sF5))))),
inference(superposition,[],[f667,f5317]) ).
fof(f5459,plain,
! [X2,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),multiply(inverse(X0),inverse(sF5))),inverse(X2))))) = X2,
inference(superposition,[],[f845,f5317]) ).
fof(f5467,plain,
! [X0,X1] : multiply(X1,inverse(multiply(inverse(X0),X1))) = multiply(X0,inverse(sF5)),
inference(superposition,[],[f1919,f5317]) ).
fof(f5471,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = multiply(inverse(sF5),inverse(X1)),
inference(superposition,[],[f4127,f5317]) ).
fof(f5537,plain,
! [X2,X0] : inverse(multiply(X0,multiply(a1,multiply(multiply(sF0,multiply(inverse(X0),inverse(sF5))),inverse(X2))))) = X2,
inference(forward_demodulation,[],[f5459,f1500]) ).
fof(f5574,plain,
! [X2] : multiply(X2,multiply(inverse(multiply(b3,inverse(sF5))),inverse(multiply(c3,inverse(sF9))))) = X2,
inference(forward_demodulation,[],[f5537,f2607]) ).
fof(f5582,plain,
! [X2] : multiply(X2,multiply(inverse(multiply(sF4,inverse(sF5))),inverse(multiply(b2,inverse(sF5))))) = X2,
inference(forward_demodulation,[],[f5574,f2748]) ).
fof(f5587,plain,
! [X2] : multiply(X2,multiply(inverse(multiply(sF0,inverse(sF5))),inverse(multiply(a1,inverse(sF1))))) = X2,
inference(forward_demodulation,[],[f5582,f3218]) ).
fof(f5591,plain,
! [X2] : multiply(X2,multiply(inverse(multiply(sF0,inverse(sF5))),inverse(multiply(a1,inverse(sF5))))) = X2,
inference(forward_demodulation,[],[f5587,f5355]) ).
fof(f5593,plain,
! [X2] : multiply(X2,multiply(sF5,inverse(sF5))) = X2,
inference(forward_demodulation,[],[f5591,f5390]) ).
fof(f7208,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = multiply(a1,multiply(sF0,X1)),
inference(superposition,[],[f4120,f5]) ).
fof(f7215,plain,
! [X0,X1] : multiply(X1,sF5) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f4120,f5317]) ).
fof(f7595,plain,
! [X1] : multiply(X1,sF5) = multiply(a1,multiply(sF0,X1)),
inference(forward_demodulation,[],[f7208,f7215]) ).
fof(f7913,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(multiply(inverse(X4),X4))) = multiply(multiply(X1,multiply(multiply(inverse(X1),multiply(X2,inverse(multiply(X3,X2)))),X3)),inverse(inverse(X0))),
inference(superposition,[],[f5185,f769]) ).
fof(f8138,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X2,multiply(X1,multiply(X0,inverse(multiply(inverse(inverse(X1)),X0))))),multiply(X4,inverse(multiply(inverse(multiply(inverse(X3),X3)),X4)))) = X2,
inference(superposition,[],[f1258,f5185]) ).
fof(f8239,plain,
! [X2,X3,X0,X1] : multiply(multiply(X2,multiply(X1,multiply(X0,inverse(multiply(inverse(inverse(X1)),X0))))),multiply(multiply(inverse(X3),X3),inverse(sF5))) = X2,
inference(forward_demodulation,[],[f8138,f5467]) ).
fof(f8417,plain,
! [X0,X1,X4] : multiply(X0,inverse(multiply(inverse(X4),X4))) = multiply(multiply(X1,multiply(inverse(X1),inverse(sF5))),inverse(inverse(X0))),
inference(forward_demodulation,[],[f7913,f5438]) ).
fof(f8525,plain,
! [X2,X0,X1] : multiply(multiply(X2,multiply(X1,multiply(X0,inverse(multiply(inverse(inverse(X1)),X0))))),multiply(sF5,inverse(sF5))) = X2,
inference(forward_demodulation,[],[f8239,f5317]) ).
fof(f8634,plain,
! [X0,X4] : multiply(X0,inverse(multiply(inverse(X4),X4))) = multiply(multiply(inverse(sF5),sF5),inverse(inverse(X0))),
inference(forward_demodulation,[],[f8417,f7215]) ).
fof(f8696,plain,
! [X2,X0,X1] : multiply(X2,multiply(X1,multiply(X0,inverse(multiply(inverse(inverse(X1)),X0))))) = X2,
inference(forward_demodulation,[],[f8525,f5593]) ).
fof(f8721,plain,
! [X0,X4] : multiply(sF5,inverse(inverse(X0))) = multiply(X0,inverse(multiply(inverse(X4),X4))),
inference(forward_demodulation,[],[f8634,f5317]) ).
fof(f8739,plain,
! [X2,X1] : multiply(X2,multiply(X1,multiply(inverse(X1),inverse(sF5)))) = X2,
inference(forward_demodulation,[],[f8696,f5467]) ).
fof(f8750,plain,
! [X0] : multiply(sF5,inverse(inverse(X0))) = multiply(X0,inverse(sF5)),
inference(forward_demodulation,[],[f8721,f5317]) ).
fof(f8762,plain,
! [X2] : multiply(X2,multiply(inverse(sF5),sF5)) = X2,
inference(forward_demodulation,[],[f8739,f7215]) ).
fof(f8777,plain,
! [X2] : multiply(X2,sF5) = X2,
inference(forward_demodulation,[],[f8762,f5317]) ).
fof(f8808,plain,
sF5 = inverse(sF5),
inference(superposition,[],[f5317,f8777]) ).
fof(f8832,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X1),sF5)) = multiply(X0,inverse(X0)),
inference(superposition,[],[f4120,f8777]) ).
fof(f8860,plain,
! [X0,X1] : multiply(X1,inverse(multiply(X0,X1))) = multiply(sF5,inverse(X0)),
inference(superposition,[],[f1919,f8777]) ).
fof(f8918,plain,
! [X0] : multiply(sF5,sF5) = multiply(X0,inverse(X0)),
inference(forward_demodulation,[],[f8832,f7215]) ).
fof(f8985,plain,
! [X0] : sF5 = multiply(X0,inverse(X0)),
inference(forward_demodulation,[],[f8918,f8777]) ).
fof(f9157,plain,
! [X2,X3,X0,X1] : inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),sF5),inverse(X0))))) = multiply(X0,multiply(X1,inverse(multiply(inverse(inverse(X2)),X1)))),
inference(superposition,[],[f1048,f8985]) ).
fof(f9181,plain,
! [X0,X1] : inverse(multiply(inverse(X0),multiply(X0,multiply(inverse(X1),inverse(sF5))))) = X1,
inference(superposition,[],[f667,f8985]) ).
fof(f9188,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,multiply(inverse(X1),X2))),multiply(inverse(X2),inverse(sF5))) = X0,
inference(superposition,[],[f1258,f8985]) ).
fof(f9192,plain,
! [X0,X1] : multiply(inverse(X0),inverse(sF5)) = multiply(X1,inverse(multiply(X0,X1))),
inference(superposition,[],[f1919,f8985]) ).
fof(f9199,plain,
! [X0] : multiply(inverse(sF5),X0) = multiply(inverse(sF5),inverse(inverse(X0))),
inference(superposition,[],[f5471,f8985]) ).
fof(f9204,plain,
! [X0] : multiply(sF5,X0) = multiply(sF5,inverse(inverse(X0))),
inference(forward_demodulation,[],[f9199,f8808]) ).
fof(f9211,plain,
! [X0] : multiply(inverse(X0),inverse(sF5)) = multiply(sF5,inverse(X0)),
inference(forward_demodulation,[],[f9192,f8860]) ).
fof(f9215,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,multiply(inverse(X1),X2))),multiply(inverse(X2),sF5)) = X0,
inference(forward_demodulation,[],[f9188,f8808]) ).
fof(f9222,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f9181,f5456]) ).
fof(f9245,plain,
! [X2,X3,X0] : inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),sF5),inverse(X0))))) = multiply(X0,multiply(sF5,inverse(inverse(inverse(X2))))),
inference(forward_demodulation,[],[f9157,f8860]) ).
fof(f9271,plain,
! [X0] : multiply(sF5,X0) = multiply(X0,inverse(sF5)),
inference(forward_demodulation,[],[f9204,f8750]) ).
fof(f9278,plain,
! [X0] : multiply(inverse(X0),sF5) = multiply(sF5,inverse(X0)),
inference(forward_demodulation,[],[f9211,f8808]) ).
fof(f9282,plain,
! [X2,X0,X1] : multiply(multiply(X0,multiply(X1,multiply(inverse(X1),X2))),inverse(X2)) = X0,
inference(forward_demodulation,[],[f9215,f8777]) ).
fof(f9309,plain,
! [X2,X3,X0] : inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),sF5),inverse(X0))))) = multiply(X0,multiply(inverse(X2),inverse(sF5))),
inference(forward_demodulation,[],[f9245,f8750]) ).
fof(f9331,plain,
! [X0] : multiply(X0,sF5) = multiply(sF5,X0),
inference(forward_demodulation,[],[f9271,f8808]) ).
fof(f9338,plain,
! [X0] : inverse(X0) = multiply(sF5,inverse(X0)),
inference(forward_demodulation,[],[f9278,f8777]) ).
fof(f9342,plain,
! [X2,X0] : multiply(multiply(X0,multiply(X2,sF5)),inverse(X2)) = X0,
inference(forward_demodulation,[],[f9282,f7215]) ).
fof(f9359,plain,
! [X2,X3,X0] : inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),sF5),inverse(X0))))) = multiply(X0,multiply(inverse(X2),sF5)),
inference(forward_demodulation,[],[f9309,f8808]) ).
fof(f9376,plain,
! [X0] : multiply(sF5,X0) = X0,
inference(forward_demodulation,[],[f9331,f8777]) ).
fof(f9385,plain,
! [X2,X0] : multiply(multiply(X0,X2),inverse(X2)) = X0,
inference(forward_demodulation,[],[f9342,f8777]) ).
fof(f9393,plain,
! [X2,X3,X0] : multiply(X0,inverse(X2)) = inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),sF5),inverse(X0))))),
inference(forward_demodulation,[],[f9359,f8777]) ).
fof(f9414,plain,
! [X2,X0] : multiply(X0,inverse(X2)) = inverse(multiply(X2,multiply(a1,multiply(multiply(sF0,sF5),inverse(X0))))),
inference(forward_demodulation,[],[f9393,f1500]) ).
fof(f9427,plain,
! [X2,X0] : multiply(X0,inverse(X2)) = inverse(multiply(X2,multiply(a1,multiply(sF0,inverse(X0))))),
inference(forward_demodulation,[],[f9414,f8777]) ).
fof(f9433,plain,
! [X2,X0] : multiply(X0,inverse(X2)) = inverse(multiply(X2,multiply(inverse(X0),sF5))),
inference(forward_demodulation,[],[f9427,f7595]) ).
fof(f9439,plain,
! [X2,X0] : inverse(multiply(X2,inverse(X0))) = multiply(X0,inverse(X2)),
inference(forward_demodulation,[],[f9433,f8777]) ).
fof(f9452,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,multiply(X4,multiply(multiply(inverse(X4),multiply(inverse(X3),X2)),inverse(X0)))) = inverse(multiply(X0,multiply(X1,inverse(multiply(X2,X1))))),
inference(superposition,[],[f9222,f1048]) ).
fof(f9507,plain,
! [X2,X0,X1] : multiply(X2,multiply(inverse(X2),X1)) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f4120,f9222]) ).
fof(f9521,plain,
! [X0,X1] : multiply(X1,sF5) = multiply(inverse(X0),multiply(X0,X1)),
inference(forward_demodulation,[],[f9507,f7215]) ).
fof(f9555,plain,
! [X2,X3,X0,X4] : multiply(X3,multiply(X4,multiply(multiply(inverse(X4),multiply(inverse(X3),X2)),inverse(X0)))) = inverse(multiply(X0,multiply(sF5,inverse(X2)))),
inference(forward_demodulation,[],[f9452,f8860]) ).
fof(f9560,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f9521,f8777]) ).
fof(f9585,plain,
! [X2,X3,X0,X4] : multiply(X3,multiply(X4,multiply(multiply(inverse(X4),multiply(inverse(X3),X2)),inverse(X0)))) = inverse(multiply(X0,inverse(X2))),
inference(forward_demodulation,[],[f9555,f9338]) ).
fof(f9606,plain,
! [X2,X3,X0,X4] : multiply(X2,inverse(X0)) = multiply(X3,multiply(X4,multiply(multiply(inverse(X4),multiply(inverse(X3),X2)),inverse(X0)))),
inference(forward_demodulation,[],[f9585,f9439]) ).
fof(f9692,plain,
a2 = multiply(inverse(sF5),sF6),
inference(superposition,[],[f9560,f17]) ).
fof(f9796,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = multiply(inverse(sF5),inverse(multiply(X1,X0))),
inference(superposition,[],[f5471,f9560]) ).
fof(f9801,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = multiply(sF5,inverse(multiply(X1,X0))),
inference(forward_demodulation,[],[f9796,f8808]) ).
fof(f9897,plain,
a2 = multiply(sF5,sF6),
inference(forward_demodulation,[],[f9692,f8808]) ).
fof(f9957,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(X1)),
inference(forward_demodulation,[],[f9801,f9338]) ).
fof(f10034,plain,
a2 = sF6,
inference(forward_demodulation,[],[f9897,f9376]) ).
fof(f10142,plain,
spl11_2,
inference(avatar_split_clause,[],[f10034,f32]) ).
fof(f10303,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X3,multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(inverse(X4),X2)),inverse(X0)))))) = multiply(multiply(X0,multiply(X1,inverse(multiply(X2,X1)))),inverse(X3)),
inference(superposition,[],[f9957,f1048]) ).
fof(f10609,plain,
! [X2,X3,X0,X4,X5] : inverse(multiply(X3,multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(inverse(X4),X2)),inverse(X0)))))) = multiply(multiply(X0,multiply(sF5,inverse(X2))),inverse(X3)),
inference(forward_demodulation,[],[f10303,f8860]) ).
fof(f10737,plain,
! [X2,X3,X0,X4,X5] : inverse(multiply(X3,multiply(X4,multiply(X5,multiply(multiply(inverse(X5),multiply(inverse(X4),X2)),inverse(X0)))))) = multiply(multiply(X0,inverse(X2)),inverse(X3)),
inference(forward_demodulation,[],[f10609,f9338]) ).
fof(f10828,plain,
! [X2,X3,X0] : inverse(multiply(X3,multiply(X2,inverse(X0)))) = multiply(multiply(X0,inverse(X2)),inverse(X3)),
inference(forward_demodulation,[],[f10737,f9606]) ).
fof(f11137,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))),multiply(multiply(X3,X4),inverse(multiply(X5,multiply(sF5,X4)))))) = X5,
inference(superposition,[],[f40,f9376]) ).
fof(f11153,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(multiply(X5,multiply(sF5,X4)),inverse(multiply(X3,X4))),inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),inverse(multiply(X3,multiply(X0,X2)))))))) = X5,
inference(forward_demodulation,[],[f11137,f10828]) ).
fof(f11290,plain,
! [X3,X4,X5] : multiply(multiply(multiply(X5,multiply(sF5,X4)),inverse(multiply(X3,X4))),X3) = X5,
inference(forward_demodulation,[],[f11153,f1]) ).
fof(f11416,plain,
! [X3,X4,X5] : multiply(multiply(multiply(X5,X4),inverse(multiply(X3,X4))),X3) = X5,
inference(forward_demodulation,[],[f11290,f9376]) ).
fof(f14363,plain,
! [X2,X0,X1] : multiply(X0,inverse(X2)) = multiply(multiply(X0,X1),inverse(multiply(X2,X1))),
inference(superposition,[],[f9385,f11416]) ).
fof(f16805,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,inverse(inverse(multiply(X2,multiply(X3,multiply(inverse(X3),X0)))))),
inference(superposition,[],[f14363,f1384]) ).
fof(f16936,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(X2,multiply(X3,multiply(inverse(X3),X0)))),
inference(forward_demodulation,[],[f16805,f9222]) ).
fof(f17078,plain,
! [X2,X0,X1] : multiply(multiply(X1,X2),X0) = multiply(X1,multiply(X2,multiply(X0,sF5))),
inference(forward_demodulation,[],[f16936,f7215]) ).
fof(f17206,plain,
! [X2,X0,X1] : multiply(X1,multiply(X2,X0)) = multiply(multiply(X1,X2),X0),
inference(forward_demodulation,[],[f17078,f8777]) ).
fof(f17639,plain,
! [X0] : multiply(sF7,X0) = multiply(a3,multiply(b3,X0)),
inference(superposition,[],[f17206,f19]) ).
fof(f19764,plain,
multiply(sF7,c3) = multiply(a3,sF9),
inference(superposition,[],[f17639,f23]) ).
fof(f19964,plain,
multiply(sF7,c3) = sF10,
inference(forward_demodulation,[],[f19764,f25]) ).
fof(f20059,plain,
sF8 = sF10,
inference(forward_demodulation,[],[f19964,f21]) ).
fof(f20136,plain,
( $false
| spl11_1 ),
inference(forward_subsumption_resolution,[],[f20059,f30]) ).
fof(f20137,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f20136]) ).
fof(f20417,plain,
( sF1 != sF5
| spl11_3 ),
inference(forward_demodulation,[],[f38,f5354]) ).
fof(f20418,plain,
( $false
| spl11_3 ),
inference(forward_subsumption_resolution,[],[f20417,f5355]) ).
fof(f20419,plain,
spl11_3,
inference(avatar_contradiction_clause,[],[f20418]) ).
cnf(s1,plain,
( ~ spl11_1
| ~ spl11_2
| ~ spl11_3 ),
inference(sat_conversion,[],[f39]) ).
cnf(s2,plain,
spl11_2,
inference(sat_conversion,[],[f10142]) ).
cnf(s3,plain,
spl11_1,
inference(sat_conversion,[],[f20137]) ).
cnf(s4,plain,
spl11_3,
inference(sat_conversion,[],[f20419]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2,s3]) ).
fof(f20420,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP061-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 09:17:06 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 11.78/2.55 % (4147735)Input is clausal, will run a generic CNF schedule.
% 11.78/2.55 % (4147740)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=1293021305:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.78/2.55 % (4147743)lrs+10_1_sil=8000:sp=occurrence:random_seed=1112273218:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.78/2.55 % (4147741)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2171004939:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.78/2.55 % (4147742)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2378909268:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.78/2.55 % (4147746)dis-21_1_sil=8000:lcm=predicate:random_seed=775291123: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)
% 11.78/2.55 % (4147745)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2906689086:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.78/2.55 % (4147744)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2025864519:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.78/2.55 % (4147746)Refutation not found, incomplete strategy
% 11.78/2.55 % (4147746)------------------------------
% 11.78/2.55 % (4147746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147746)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147746)Termination reason: Refutation not found, incomplete strategy
% 11.78/2.55 % (4147746)Time elapsed: 0.001 s
% 11.78/2.55 % (4147746)Peak memory usage: 88 MB
% 11.78/2.55 % (4147743)Instruction limit reached!
% 11.78/2.55 % (4147743)------------------------------
% 11.78/2.55 % (4147743)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147743)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147743)Termination reason: Instruction limit
% 11.78/2.55 % (4147743)Termination phase: Saturation
% 11.78/2.55 % (4147743)Time elapsed: 0.060 s
% 11.78/2.55 % (4147743)Peak memory usage: 89 MB
% 11.78/2.55 % (4147743)Instructions burned: 108 (million)
% 11.78/2.55 % (4147744)Instruction limit reached!
% 11.78/2.55 % (4147744)------------------------------
% 11.78/2.55 % (4147744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147744)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147744)Termination reason: Instruction limit
% 11.78/2.55 % (4147744)Termination phase: Saturation
% 11.78/2.55 % (4147744)Time elapsed: 0.068 s
% 11.78/2.55 % (4147744)Peak memory usage: 89 MB
% 11.78/2.55 % (4147744)Instructions burned: 114 (million)
% 11.78/2.55 % (4147745)Instruction limit reached!
% 11.78/2.55 % (4147745)------------------------------
% 11.78/2.55 % (4147745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147745)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147745)Termination reason: Instruction limit
% 11.78/2.55 % (4147745)Termination phase: Saturation
% 11.78/2.55 % (4147745)Time elapsed: 0.095 s
% 11.78/2.55 % (4147745)Peak memory usage: 89 MB
% 11.78/2.55 % (4147745)Instructions burned: 181 (million)
% 11.78/2.55 % (4147755)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4224721372: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)
% 11.78/2.55 % (4147754)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=674750931:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 11.78/2.55 % (4147754)Refutation not found, incomplete strategy
% 11.78/2.55 % (4147754)------------------------------
% 11.78/2.55 % (4147754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147755)Refutation not found, incomplete strategy
% 11.78/2.55 % (4147755)------------------------------
% 11.78/2.55 % (4147755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147754)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147755)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147754)Termination reason: Refutation not found, incomplete strategy
% 11.78/2.55 % (4147754)Time elapsed: 0.001 s
% 11.78/2.55 % (4147755)Termination reason: Refutation not found, incomplete strategy
% 11.78/2.55 % (4147755)Time elapsed: 0.001 s
% 11.78/2.55 % (4147754)Peak memory usage: 88 MB
% 11.78/2.55 % (4147755)Peak memory usage: 88 MB
% 11.78/2.55 % (4147746)------------------------------
% 11.78/2.55 % (4147746)------------------------------
% 11.78/2.55 % (4147756)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2943837590:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.78/2.55 % (4147756)Refutation not found, incomplete strategy
% 11.78/2.55 % (4147756)------------------------------
% 11.78/2.55 % (4147756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147756)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147756)Termination reason: Refutation not found, incomplete strategy
% 11.78/2.55 % (4147756)Time elapsed: 0.001 s
% 11.78/2.55 % (4147756)Peak memory usage: 88 MB
% 11.78/2.55 % (4147759)lrs+10_64_to=lpo:sil=8000:random_seed=2852299824:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 11.78/2.55 % (4147754)------------------------------
% 11.78/2.55 % (4147754)------------------------------
% 11.78/2.55 % (4147755)------------------------------
% 11.78/2.55 % (4147755)------------------------------
% 11.78/2.55 % (4147759)Instruction limit reached!
% 11.78/2.55 % (4147759)------------------------------
% 11.78/2.55 % (4147759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147759)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147759)Termination reason: Instruction limit
% 11.78/2.55 % (4147759)Termination phase: Saturation
% 11.78/2.55 % (4147759)Time elapsed: 0.070 s
% 11.78/2.55 % (4147759)Peak memory usage: 89 MB
% 11.78/2.55 % (4147759)Instructions burned: 126 (million)
% 11.78/2.55 % (4147756)------------------------------
% 11.78/2.55 % (4147756)------------------------------
% 11.78/2.55 % (4147763)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2244522622:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 11.78/2.55 % (4147762)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2473523621:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 11.78/2.55 % (4147764)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3294236573:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 11.78/2.55 % (4147765)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2631183541:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 11.78/2.55 % (4147763)Instruction limit reached!
% 11.78/2.55 % (4147763)------------------------------
% 11.78/2.55 % (4147763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147763)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147763)Termination reason: Instruction limit
% 11.78/2.55 % (4147763)Termination phase: Saturation
% 11.78/2.55 % (4147763)Time elapsed: 0.086 s
% 11.78/2.55 % (4147763)Peak memory usage: 91 MB
% 11.78/2.55 % (4147763)Instructions burned: 157 (million)
% 11.78/2.55 % (4147762)Instruction limit reached!
% 11.78/2.55 % (4147762)------------------------------
% 11.78/2.55 % (4147762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147762)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147762)Termination reason: Instruction limit
% 11.78/2.55 % (4147762)Termination phase: Saturation
% 11.78/2.55 % (4147762)Time elapsed: 0.107 s
% 11.78/2.55 % (4147762)Peak memory usage: 90 MB
% 11.78/2.55 % (4147762)Instructions burned: 195 (million)
% 11.78/2.55 % (4147765)Instruction limit reached!
% 11.78/2.55 % (4147765)------------------------------
% 11.78/2.55 % (4147765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147765)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147765)Termination reason: Instruction limit
% 11.78/2.55 % (4147765)Termination phase: Saturation
% 11.78/2.55 % (4147765)Time elapsed: 0.063 s
% 11.78/2.55 % (4147765)Peak memory usage: 89 MB
% 11.78/2.55 % (4147765)Instructions burned: 107 (million)
% 11.78/2.55 % (4147770)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=555456816:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 11.78/2.55 % (4147770)Refutation not found, incomplete strategy
% 11.78/2.55 % (4147770)------------------------------
% 11.78/2.55 % (4147770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147770)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147770)Termination reason: Refutation not found, incomplete strategy
% 11.78/2.55 % (4147770)Time elapsed: 0.001 s
% 11.78/2.55 % (4147770)Peak memory usage: 88 MB
% 11.78/2.55 % (4147771)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=34565490:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 11.78/2.55 % (4147772)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3122405960:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 11.78/2.55 % (4147771)Instruction limit reached!
% 11.78/2.55 % (4147771)------------------------------
% 11.78/2.55 % (4147771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147771)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147771)Termination reason: Instruction limit
% 11.78/2.55 % (4147771)Termination phase: Saturation
% 11.78/2.55 % (4147771)Time elapsed: 0.124 s
% 11.78/2.55 % (4147771)Peak memory usage: 92 MB
% 11.78/2.55 % (4147771)Instructions burned: 243 (million)
% 11.78/2.55 % (4147770)------------------------------
% 11.78/2.55 % (4147770)------------------------------
% 11.78/2.55 % (4147776)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3639322229:i=134:sd=2:doe=on:ss=axioms:sgt=14_2988 on theBenchmark for (2988ds/134Mi)
% 11.78/2.55 % (4147776)Instruction limit reached!
% 11.78/2.55 % (4147776)------------------------------
% 11.78/2.55 % (4147776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147776)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147776)Termination reason: Instruction limit
% 11.78/2.55 % (4147776)Termination phase: Saturation
% 11.78/2.55 % (4147776)Time elapsed: 0.074 s
% 11.78/2.55 % (4147776)Peak memory usage: 89 MB
% 11.78/2.55 % (4147776)Instructions burned: 135 (million)
% 11.78/2.55 % (4147777)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4209608074:i=499:bd=all_2987 on theBenchmark for (2987ds/499Mi)
% 11.78/2.55 % (4147740)First to succeed.
% 11.78/2.55 % (4147740)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4147735"
% 11.78/2.55 % (4147779)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2159675367:i=191:fgj=on:bd=all_2986 on theBenchmark for (2986ds/191Mi)
% 11.78/2.55 % (4147779)Instruction limit reached!
% 11.78/2.55 % (4147779)------------------------------
% 11.78/2.55 % (4147779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.78/2.55 % (4147779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.78/2.55 % (4147779)CaDiCaL version: 2.1.3
% 11.78/2.55 % (4147779)Termination reason: Instruction limit
% 11.78/2.55 % (4147779)Termination phase: Saturation
% 11.78/2.55 % (4147779)Time elapsed: 0.107 s
% 11.78/2.55 % (4147779)Peak memory usage: 90 MB
% 11.78/2.55 % (4147779)Instructions burned: 192 (million)
% 11.78/2.55 % (4147740)Refutation found. Thanks to Tanya!
% 11.78/2.55 % SZS status Unsatisfiable for theBenchmark
% 11.78/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 12.69/2.74 % (4147740)------------------------------
% 12.69/2.74 % (4147740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.69/2.74 % (4147740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.69/2.74 % (4147740)CaDiCaL version: 2.1.3
% 12.69/2.74 % (4147740)Termination reason: Refutation
% 12.69/2.74 % (4147740)Time elapsed: 1.414 s
% 12.69/2.74 % (4147740)Peak memory usage: 167 MB
% 12.69/2.74 % (4147740)Instructions burned: 4485 (million)
% 12.69/2.74 % (4147740)------------------------------
% 12.69/2.74 % (4147740)------------------------------
% 12.69/2.74 % (4147735)Success in time 1.716 s
% 12.69/2.74 % Vampire exiting
%------------------------------------------------------------------------------