%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : BOO067-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 09:36:16 AM UTC 2026
% Result : Unsatisfiable 9.85s 5.50s
% Output : Refutation 9.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 7
% Syntax : Number of formulae : 102 ( 102 unt; 5 def)
% Number of atoms : 102 ( 101 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 282 ( 282 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_tba_axioms_1) ).
fof(f3,definition,
sF0 = multiply(d,e,a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f4,plain,
multiply(d,e,a) = sF0,
inference(reorient_equations,[],[f3]) ).
fof(f5,definition,
sF1 = multiply(d,e,c),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f6,plain,
multiply(d,e,c) = sF1,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF2 = multiply(sF0,b,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f8,plain,
multiply(sF0,b,sF1) = sF2,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF3 = multiply(a,b,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f10,plain,
multiply(a,b,c) = sF3,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF4 = multiply(d,e,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f12,plain,
multiply(d,e,sF3) = sF4,
inference(reorient_equations,[],[f11]) ).
fof(f13,plain,
sF2 != sF4,
inference(definition_folding,[],[f2,f12,f10,f8,f6,f4]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0) = multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4)),
inference(superposition,[],[f1,f1]) ).
fof(f16,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF0,X2,multiply(d,e,X3))),multiply(e,multiply(X3,X2,a),d)) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f17,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF1,X2,multiply(d,e,X3))),multiply(e,multiply(X3,X2,c),d)) = X1,
inference(superposition,[],[f1,f6]) ).
fof(f18,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF4,X2,multiply(d,e,X3))),multiply(e,multiply(X3,X2,sF3),d)) = X1,
inference(superposition,[],[f1,f12]) ).
fof(f20,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF2,X2,multiply(sF0,b,X3))),multiply(b,multiply(X3,X2,sF1),sF0)) = X1,
inference(superposition,[],[f1,f8]) ).
fof(f21,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(multiply(X3,inverse(X3),X0),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),X9),X10,X0)),multiply(inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(multiply(X5,multiply(X8,X7,X6),X4),X10,X9),multiply(X3,inverse(X3),X0))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f26,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(sF0,b,X2),X3,sF2)),multiply(b,multiply(sF1,X3,X2),sF0)) = X1,
inference(superposition,[],[f1,f8]) ).
fof(f27,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,multiply(X5,multiply(X6,X7,X8),X9)),inverse(multiply(multiply(X9,X5,X8),X7,multiply(X9,X5,X6))),multiply(X3,X4,multiply(X10,inverse(X10),X0)))),multiply(X4,X0,X3)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f32,plain,
! [X2,X3,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,sF1),b,multiply(X2,X3,sF0))),multiply(X3,sF2,X2)) = X1,
inference(superposition,[],[f1,f8]) ).
fof(f36,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF0,X2,sF1)),multiply(e,multiply(c,X2,a),d)) = X1,
inference(superposition,[],[f16,f6]) ).
fof(f39,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(e,multiply(X0,inverse(sF0),a),d) = multiply(multiply(d,e,X0),inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)),
inference(superposition,[],[f1,f16]) ).
fof(f59,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF1,b,multiply(d,e,a))),multiply(e,sF3,d)) = X1,
inference(superposition,[],[f17,f10]) ).
fof(f69,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)) = X1,
inference(forward_demodulation,[],[f59,f4]) ).
fof(f83,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF4,X2,sF4)),multiply(e,multiply(sF3,X2,sF3),d)) = X1,
inference(superposition,[],[f18,f12]) ).
fof(f88,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(d,e,X0),inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = multiply(e,multiply(X0,inverse(sF4),sF3),d),
inference(superposition,[],[f1,f18]) ).
fof(f92,plain,
! [X0] : multiply(e,multiply(X0,inverse(sF0),a),d) = multiply(e,multiply(X0,inverse(sF4),sF3),d),
inference(forward_demodulation,[],[f88,f39]) ).
fof(f98,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0) = multiply(multiply(X0,X1,X2),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)),
inference(superposition,[],[f69,f1]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(b,multiply(X0,inverse(sF2),sF1),sF0) = multiply(multiply(sF0,b,X0),inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)),
inference(superposition,[],[f1,f20]) ).
fof(f163,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(sF2),multiply(e,multiply(c,b,a),d)) = X1,
inference(superposition,[],[f36,f8]) ).
fof(f221,plain,
! [X0] : multiply(b,multiply(X0,inverse(sF2),sF1),sF0) = multiply(multiply(sF0,b,X0),inverse(sF2),multiply(e,multiply(c,b,a),d)),
inference(superposition,[],[f163,f20]) ).
fof(f1283,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(X1,inverse(multiply(X2,X0,X3)),X3),X2) = multiply(X0,multiply(X1,inverse(multiply(X2,X0,X4)),X4),X2),
inference(superposition,[],[f14,f14]) ).
fof(f1317,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(multiply(X5,inverse(X5),X6),inverse(multiply(multiply(sF0,b,X7),inverse(multiply(sF0,b,X7)),sF2)),multiply(multiply(sF0,b,sF1),inverse(multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4))),multiply(X1,multiply(X4,X3,X2),X0))) = X6,
inference(superposition,[],[f26,f14]) ).
fof(f1342,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X1,inverse(multiply(X0,inverse(X0),X2)),X2),X0) = X1,
inference(superposition,[],[f1,f14]) ).
fof(f1376,plain,
! [X6,X7,X5] : multiply(multiply(X5,inverse(X5),X6),inverse(multiply(multiply(sF0,b,X7),inverse(multiply(sF0,b,X7)),sF2)),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)) = X6,
inference(forward_demodulation,[],[f1317,f143]) ).
fof(f1709,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : multiply(multiply(X9,inverse(X9),X10),inverse(multiply(X0,multiply(multiply(X1,inverse(X1),inverse(X0)),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)),multiply(X7,inverse(X7),X8))),multiply(inverse(X0),X8,X0)) = X10,
inference(superposition,[],[f27,f27]) ).
fof(f1764,plain,
! [X10,X0,X8,X9,X7] : multiply(multiply(X9,inverse(X9),X10),inverse(multiply(X0,inverse(X0),multiply(X7,inverse(X7),X8))),multiply(inverse(X0),X8,X0)) = X10,
inference(forward_demodulation,[],[f1709,f1]) ).
fof(f2575,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(multiply(X3,multiply(X6,X5,X4),X2),inverse(multiply(multiply(X1,inverse(X1),X0),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),X7)),X7),multiply(X1,inverse(X1),X0)) = multiply(X0,inverse(sF2),multiply(e,multiply(c,b,a),d)),
inference(superposition,[],[f163,f21]) ).
fof(f2595,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X0,inverse(sF2),multiply(e,multiply(c,b,a),d)) = multiply(multiply(multiply(X1,inverse(X1),X0),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)),
inference(forward_demodulation,[],[f2575,f98]) ).
fof(f2680,plain,
! [X0] : multiply(X0,inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)) = multiply(X0,inverse(sF2),multiply(e,multiply(c,b,a),d)),
inference(forward_demodulation,[],[f2595,f1]) ).
fof(f3886,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(sF2),multiply(e,multiply(c,b,a),d)) = multiply(inverse(X2),X1,X2),
inference(superposition,[],[f163,f1764]) ).
fof(f3912,plain,
! [X2,X1] : multiply(inverse(X2),X1,X2) = X1,
inference(forward_demodulation,[],[f3886,f163]) ).
fof(f4007,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2) = X0,
inference(superposition,[],[f1342,f3912]) ).
fof(f4052,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),multiply(X1,inverse(inverse(inverse(X0))),X0),inverse(X0)) = X1,
inference(superposition,[],[f1342,f3912]) ).
fof(f4054,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,inverse(X1),X2),inverse(multiply(X3,inverse(X3),inverse(inverse(X0)))),multiply(inverse(X3),X0,X3)) = X2,
inference(superposition,[],[f1764,f3912]) ).
fof(f4083,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(X0),inverse(multiply(X0,inverse(X0),X1)),X0),
inference(superposition,[],[f1342,f3912]) ).
fof(f4115,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(X0,inverse(X0),X1)),
inference(forward_demodulation,[],[f4083,f3912]) ).
fof(f4121,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,inverse(X1),X2),inverse(multiply(X3,inverse(X3),inverse(inverse(X0)))),X0) = X2,
inference(forward_demodulation,[],[f4054,f3912]) ).
fof(f4123,plain,
! [X0,X1] : multiply(X1,inverse(inverse(inverse(X0))),X0) = X1,
inference(forward_demodulation,[],[f4052,f3912]) ).
fof(f4167,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X1),X2),inverse(inverse(inverse(X0))),X0) = X2,
inference(forward_demodulation,[],[f4121,f4115]) ).
fof(f4170,plain,
! [X2,X1] : multiply(X1,inverse(X1),X2) = X2,
inference(forward_demodulation,[],[f4167,f4123]) ).
fof(f4171,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(multiply(sF0,b,X1),inverse(multiply(sF0,b,X1)),sF2)),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)) = X0,
inference(superposition,[],[f1376,f3912]) ).
fof(f4175,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0) = multiply(multiply(X0,X1,X2),inverse(multiply(multiply(sF0,b,X4),inverse(multiply(sF0,b,X4)),sF2)),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)),
inference(superposition,[],[f1376,f1]) ).
fof(f4176,plain,
! [X0,X1] : multiply(e,multiply(X0,inverse(sF0),a),d) = multiply(multiply(d,e,X0),inverse(multiply(multiply(sF0,b,X1),inverse(multiply(sF0,b,X1)),sF2)),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)),
inference(superposition,[],[f1376,f16]) ).
fof(f4178,plain,
! [X0,X1] : multiply(b,multiply(X0,inverse(sF2),sF1),sF0) = multiply(multiply(sF0,b,X0),inverse(multiply(multiply(sF0,b,X1),inverse(multiply(sF0,b,X1)),sF2)),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)),
inference(superposition,[],[f1376,f20]) ).
fof(f4200,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X1,inverse(X1),X2),inverse(X0),multiply(inverse(multiply(multiply(b,multiply(sF1,inverse(sF2),sF1),X3),inverse(multiply(b,multiply(sF1,inverse(sF2),sF1),X3)),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0))),multiply(multiply(multiply(sF1,inverse(sF2),sF1),multiply(sF0,inverse(multiply(b,multiply(sF1,inverse(sF2),sF1),X3)),X3),b),inverse(multiply(multiply(sF0,b,X4),inverse(multiply(sF0,b,X4)),sF2)),X0),multiply(multiply(b,multiply(sF1,inverse(sF2),sF1),X3),inverse(multiply(b,multiply(sF1,inverse(sF2),sF1),X3)),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)))) = X2,
inference(superposition,[],[f21,f1376]) ).
fof(f4244,plain,
! [X0,X1] : multiply(inverse(multiply(multiply(sF0,b,X0),inverse(multiply(sF0,b,X0)),sF2)),multiply(X1,inverse(sF2),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)),multiply(multiply(sF0,b,X0),inverse(multiply(sF0,b,X0)),sF2)) = X1,
inference(superposition,[],[f1342,f1376]) ).
fof(f4287,plain,
! [X1] : multiply(X1,inverse(sF2),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)) = X1,
inference(forward_demodulation,[],[f4244,f3912]) ).
fof(f4325,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(X1,inverse(X1),X2),inverse(X0),multiply(multiply(multiply(sF1,inverse(sF2),sF1),multiply(sF0,inverse(multiply(b,multiply(sF1,inverse(sF2),sF1),X3)),X3),b),inverse(multiply(multiply(sF0,b,X4),inverse(multiply(sF0,b,X4)),sF2)),X0)) = X2,
inference(forward_demodulation,[],[f4200,f3912]) ).
fof(f4346,plain,
! [X0] : multiply(b,multiply(X0,inverse(sF2),sF1),sF0) = multiply(multiply(sF0,b,X0),inverse(sF2),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)),
inference(forward_demodulation,[],[f4178,f4115]) ).
fof(f4348,plain,
! [X0] : multiply(e,multiply(X0,inverse(sF0),a),d) = multiply(multiply(d,e,X0),inverse(sF2),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)),
inference(forward_demodulation,[],[f4176,f4115]) ).
fof(f4349,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0) = multiply(multiply(X0,X1,X2),inverse(sF2),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)),
inference(forward_demodulation,[],[f4175,f4115]) ).
fof(f4353,plain,
! [X0] : multiply(inverse(inverse(X0)),inverse(sF2),multiply(b,multiply(sF1,inverse(sF2),sF1),sF0)) = X0,
inference(forward_demodulation,[],[f4171,f4115]) ).
fof(f4377,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,inverse(X1),X2),inverse(X0),multiply(multiply(multiply(sF1,inverse(sF2),sF1),multiply(sF0,inverse(multiply(b,multiply(sF1,inverse(sF2),sF1),X3)),X3),b),inverse(sF2),X0)) = X2,
inference(forward_demodulation,[],[f4325,f4115]) ).
fof(f4396,plain,
! [X0] : multiply(sF0,b,X0) = multiply(b,multiply(X0,inverse(sF2),sF1),sF0),
inference(forward_demodulation,[],[f4346,f4287]) ).
fof(f4398,plain,
! [X0] : multiply(d,e,X0) = multiply(e,multiply(X0,inverse(sF0),a),d),
inference(forward_demodulation,[],[f4348,f4287]) ).
fof(f4399,plain,
! [X2,X3,X0,X1] : multiply(X0,X1,X2) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0),
inference(forward_demodulation,[],[f4349,f4287]) ).
fof(f4402,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f4353,f4287]) ).
fof(f4422,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X1),X2),inverse(X0),multiply(multiply(multiply(b,multiply(sF1,inverse(sF2),sF1),sF0),inverse(multiply(sF1,b,sF0)),multiply(e,sF3,d)),inverse(sF2),X0)) = X2,
inference(forward_demodulation,[],[f4377,f98]) ).
fof(f4453,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X1),X2),inverse(X0),multiply(multiply(multiply(b,multiply(sF1,inverse(sF2),sF1),sF0),inverse(sF2),multiply(e,multiply(c,b,a),d)),inverse(sF2),X0)) = X2,
inference(forward_demodulation,[],[f4422,f2680]) ).
fof(f4473,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X1),X2),inverse(X0),multiply(multiply(multiply(sF0,b,sF1),inverse(sF2),multiply(e,multiply(c,b,a),d)),inverse(sF2),X0)) = X2,
inference(forward_demodulation,[],[f4453,f4396]) ).
fof(f4490,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X1),X2),inverse(X0),multiply(multiply(b,multiply(sF1,inverse(sF2),sF1),sF0),inverse(sF2),X0)) = X2,
inference(forward_demodulation,[],[f4473,f221]) ).
fof(f4494,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X1),X2),inverse(X0),multiply(multiply(sF0,b,sF1),inverse(sF2),X0)) = X2,
inference(forward_demodulation,[],[f4490,f4396]) ).
fof(f4495,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X1),X2),inverse(X0),multiply(sF2,inverse(sF2),X0)) = X2,
inference(forward_demodulation,[],[f4494,f8]) ).
fof(f4496,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X1),X2),inverse(X0),X0) = X2,
inference(forward_demodulation,[],[f4495,f4170]) ).
fof(f4497,plain,
! [X2,X0] : multiply(X2,inverse(X0),X0) = X2,
inference(forward_demodulation,[],[f4496,f4170]) ).
fof(f4941,plain,
! [X0,X1] : multiply(X1,X0,inverse(X0)) = X1,
inference(superposition,[],[f4497,f4402]) ).
fof(f5671,plain,
! [X2,X3,X0,X1] : multiply(X1,X0,X2) = multiply(X1,multiply(multiply(X2,X1,X0),inverse(multiply(X2,X1,X3)),X3),X2),
inference(superposition,[],[f1283,f4170]) ).
fof(f5690,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF1,b,multiply(X2,inverse(X2),sF0))),multiply(inverse(X2),sF2,X2)) = X1,
inference(superposition,[],[f32,f4170]) ).
fof(f5692,plain,
multiply(e,sF3,d) = multiply(e,multiply(sF4,inverse(sF0),a),d),
inference(superposition,[],[f92,f4170]) ).
fof(f5843,plain,
multiply(e,sF3,d) = multiply(d,e,sF4),
inference(forward_demodulation,[],[f5692,f4398]) ).
fof(f5845,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF1,b,multiply(X2,inverse(X2),sF0))),sF2) = X1,
inference(forward_demodulation,[],[f5690,f3912]) ).
fof(f5864,plain,
! [X2,X0,X1] : multiply(X1,X0,X2) = multiply(X2,X1,multiply(X2,X1,X0)),
inference(forward_demodulation,[],[f5671,f4399]) ).
fof(f5950,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF1,b,sF0)),sF2) = X1,
inference(forward_demodulation,[],[f5845,f4170]) ).
fof(f6013,plain,
! [X1] : multiply(X1,inverse(multiply(sF1,b,sF0)),sF2) = X1,
inference(forward_demodulation,[],[f5950,f4170]) ).
fof(f12299,plain,
sF2 = multiply(sF1,b,sF0),
inference(superposition,[],[f4170,f6013]) ).
fof(f12954,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(sF2),multiply(e,sF3,d)) = X1,
inference(superposition,[],[f69,f12299]) ).
fof(f12999,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(sF2),multiply(d,e,sF4)) = X1,
inference(forward_demodulation,[],[f12954,f5843]) ).
fof(f13016,plain,
! [X1] : multiply(X1,inverse(sF2),multiply(d,e,sF4)) = X1,
inference(forward_demodulation,[],[f12999,f4170]) ).
fof(f18288,plain,
sF2 = multiply(d,e,sF4),
inference(superposition,[],[f4170,f13016]) ).
fof(f19955,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF4,inverse(multiply(X2,inverse(X2),sF3)),sF4)),multiply(e,sF3,d)) = X1,
inference(superposition,[],[f83,f4007]) ).
fof(f19972,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF4,inverse(multiply(X2,inverse(X2),sF3)),sF4)),multiply(d,e,sF4)) = X1,
inference(forward_demodulation,[],[f19955,f5843]) ).
fof(f20162,plain,
! [X2,X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF4,inverse(multiply(X2,inverse(X2),sF3)),sF4)),sF2) = X1,
inference(forward_demodulation,[],[f19972,f18288]) ).
fof(f20319,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(sF4,inverse(sF3),sF4)),sF2) = X1,
inference(forward_demodulation,[],[f20162,f4115]) ).
fof(f20381,plain,
! [X1] : multiply(X1,inverse(multiply(sF4,inverse(sF3),sF4)),sF2) = X1,
inference(forward_demodulation,[],[f20319,f4170]) ).
fof(f21025,plain,
sF2 = multiply(sF4,inverse(sF3),sF4),
inference(superposition,[],[f4170,f20381]) ).
fof(f26699,plain,
! [X0,X1] : multiply(X1,inverse(X1),X0) = multiply(X0,X1,X0),
inference(superposition,[],[f5864,f4941]) ).
fof(f27346,plain,
! [X0,X1] : multiply(X0,X1,X0) = X0,
inference(forward_demodulation,[],[f26699,f4170]) ).
fof(f28642,plain,
sF2 = sF4,
inference(superposition,[],[f21025,f27346]) ).
fof(f28644,plain,
$false,
inference(forward_subsumption_resolution,[],[f28642,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : BOO067-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.29 % Computer : n013.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8046.5625MB
% 0.11/0.29 % OS : Linux 6.8.0-71-generic
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Mon Sep 28 21:07:25 UTC 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.30/0.35 Running first-order model finding
% 0.30/0.35 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.21/3.24 % (1583082)Will run a generic schedule for satisfiability detection.
% 20.21/3.24 % (1583091)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2891831055:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 20.21/3.24 % (1583088)% WARNING: option uhcvi not known.
% 20.21/3.24 % (1583089)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2117091769:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 20.21/3.24 % (1583092)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4026313143:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 20.21/3.24 % (1583093)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=817131892:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 20.21/3.24 % (1583088)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1989874696:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 20.21/3.24 % (1583087)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2804529031_2999 on theBenchmark for (2999ds/0Mi)
% 20.21/3.24 % (1583090)dis+10_1_sil=32000:sp=arity:random_seed=2538837666:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 20.21/3.24 % TRYING [1]
% 20.21/3.24 % TRYING [2]
% 20.21/3.24 % TRYING [3]
% 20.21/3.24 % (1583091)Instruction limit reached!
% 20.21/3.24 % (1583091)------------------------------
% 20.21/3.24 % (1583091)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.24 % (1583091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.24 % (1583091)CaDiCaL version: 2.1.3
% 20.21/3.24 % (1583091)Termination reason: Instruction limit
% 20.21/3.24 % (1583091)Termination phase: Saturation
% 20.21/3.24 % (1583091)Time elapsed: 0.059 s
% 20.21/3.24 % (1583091)Peak memory usage: 13 MB
% 20.21/3.24 % (1583091)Instructions burned: 118 (million)
% 20.21/3.24 % TRYING [4]
% 20.21/3.24 % (1583101)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3892254457:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 20.21/3.24 % TRYING [1]
% 20.21/3.24 % TRYING [2]
% 20.21/3.24 % TRYING [3]
% 20.21/3.24 % (1583090)Instruction limit reached!
% 20.21/3.24 % (1583090)------------------------------
% 20.21/3.24 % (1583090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.24 % (1583090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.24 % (1583090)CaDiCaL version: 2.1.3
% 20.21/3.24 % (1583090)Termination reason: Instruction limit
% 20.21/3.24 % (1583090)Termination phase: Saturation
% 20.21/3.24 % (1583090)Time elapsed: 0.094 s
% 20.21/3.24 % (1583090)Peak memory usage: 12 MB
% 20.21/3.24 % (1583090)Instructions burned: 103 (million)
% 20.21/3.24 % TRYING [4]
% 20.21/3.24 % (1583092)Instruction limit reached!
% 20.21/3.24 % (1583092)------------------------------
% 20.21/3.24 % (1583092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.24 % (1583092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.24 % (1583092)CaDiCaL version: 2.1.3
% 20.21/3.24 % (1583092)Termination reason: Instruction limit
% 20.21/3.24 % (1583092)Termination phase: Saturation
% 20.21/3.24 % (1583092)Time elapsed: 0.124 s
% 20.21/3.24 % (1583092)Peak memory usage: 13 MB
% 20.21/3.24 % (1583092)Instructions burned: 131 (million)
% 20.21/3.24 % (1583103)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3650903418:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 20.21/3.24 % (1583093)Instruction limit reached!
% 20.21/3.24 % (1583093)------------------------------
% 20.21/3.24 % (1583093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.24 % (1583093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.24 % (1583093)CaDiCaL version: 2.1.3
% 20.21/3.24 % (1583093)Termination reason: Instruction limit
% 20.21/3.24 % (1583093)Termination phase: Saturation
% 20.21/3.24 % (1583093)Time elapsed: 0.156 s
% 20.21/3.24 % (1583093)Peak memory usage: 13 MB
% 20.21/3.24 % (1583093)Instructions burned: 159 (million)
% 20.21/3.24 % (1583104)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=2455140148:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 20.21/3.24 % (1583106)ott-21_1_sil=16000:fs=off:random_seed=4073080810:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 20.21/3.24 % (1583103)Instruction limit reached!
% 20.21/3.24 % (1583103)------------------------------
% 20.21/3.24 % (1583103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.24 % (1583103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583103)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583103)Termination reason: Instruction limit
% 9.85/5.50 % (1583103)Termination phase: Saturation
% 9.85/5.50 % (1583103)Time elapsed: 0.132 s
% 9.85/5.50 % (1583103)Peak memory usage: 13 MB
% 9.85/5.50 % (1583103)Instructions burned: 131 (million)
% 9.85/5.50 % (1583109)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=465481058:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 9.85/5.50 % (1583106)Instruction limit reached!
% 9.85/5.50 % (1583106)------------------------------
% 9.85/5.50 % (1583106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583106)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583106)Termination reason: Instruction limit
% 9.85/5.50 % (1583106)Termination phase: Saturation
% 9.85/5.50 % (1583106)Time elapsed: 0.172 s
% 9.85/5.50 % (1583106)Peak memory usage: 13 MB
% 9.85/5.50 % (1583106)Instructions burned: 181 (million)
% 9.85/5.50 % (1583111)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3325687300:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 9.85/5.50 % TRYING [1]
% 9.85/5.50 % TRYING [2]
% 9.85/5.50 % TRYING [3]
% 9.85/5.50 % (1583101)Instruction limit reached!
% 9.85/5.50 % (1583101)------------------------------
% 9.85/5.50 % (1583101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583101)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583101)Termination reason: Instruction limit
% 9.85/5.50 % (1583101)Termination phase: Finite model building SAT solving
% 9.85/5.50 % (1583101)Time elapsed: 0.382 s
% 9.85/5.50 % (1583101)Peak memory usage: 29 MB
% 9.85/5.50 % (1583101)Instructions burned: 714 (million)
% 9.85/5.50 % TRYING [4]
% 9.85/5.50 % (1583113)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3548900910:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 9.85/5.50 % (1583109)Instruction limit reached!
% 9.85/5.50 % (1583109)------------------------------
% 9.85/5.50 % (1583109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583109)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583109)Termination reason: Instruction limit
% 9.85/5.50 % (1583109)Termination phase: Saturation
% 9.85/5.50 % (1583109)Time elapsed: 0.435 s
% 9.85/5.50 % (1583109)Peak memory usage: 16 MB
% 9.85/5.50 % (1583109)Instructions burned: 477 (million)
% 9.85/5.50 % (1583104)Instruction limit reached!
% 9.85/5.50 % (1583104)------------------------------
% 9.85/5.50 % (1583104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583104)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583104)Termination reason: Instruction limit
% 9.85/5.50 % (1583104)Termination phase: Saturation
% 9.85/5.50 % (1583104)Time elapsed: 0.608 s
% 9.85/5.50 % (1583104)Peak memory usage: 17 MB
% 9.85/5.50 % (1583104)Instructions burned: 684 (million)
% 9.85/5.50 % (1583115)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1352222008:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 9.85/5.50 % (1583116)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=2848673170:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 9.85/5.50 % TRYING [5]
% 9.85/5.50 % (1583111)Instruction limit reached!
% 9.85/5.50 % (1583111)------------------------------
% 9.85/5.50 % (1583111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583111)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583111)Termination reason: Instruction limit
% 9.85/5.50 % (1583111)Termination phase: Finite model building constraint generation
% 9.85/5.50 % (1583111)Time elapsed: 0.656 s
% 9.85/5.50 % (1583111)Peak memory usage: 27 MB
% 9.85/5.50 % (1583111)Instructions burned: 866 (million)
% 9.85/5.50 % (1583119)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2029220834:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 9.85/5.50 % (1583113)Instruction limit reached!
% 9.85/5.50 % (1583113)------------------------------
% 9.85/5.50 % (1583113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583113)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583113)Termination reason: Instruction limit
% 9.85/5.50 % (1583113)Termination phase: Saturation
% 9.85/5.50 % (1583113)Time elapsed: 0.653 s
% 9.85/5.50 % (1583113)Peak memory usage: 25 MB
% 9.85/5.50 % (1583113)Instructions burned: 1182 (million)
% 9.85/5.50 % (1583121)fmb+10_1_sil=64000:random_seed=3924508193:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 9.85/5.50 % TRYING [1]
% 9.85/5.50 % TRYING [2]
% 9.85/5.50 % TRYING [3]
% 9.85/5.50 % TRYING [4]
% 9.85/5.50 % (1583116)Instruction limit reached!
% 9.85/5.50 % (1583116)------------------------------
% 9.85/5.50 % (1583116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583116)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583116)Termination reason: Instruction limit
% 9.85/5.50 % (1583116)Termination phase: Saturation
% 9.85/5.50 % (1583116)Time elapsed: 0.669 s
% 9.85/5.50 % (1583116)Peak memory usage: 17 MB
% 9.85/5.50 % (1583116)Instructions burned: 693 (million)
% 9.85/5.50 % (1583123)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3131158299:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 9.85/5.50 % TRYING [20]
% 9.85/5.50 % (1583119)Instruction limit reached!
% 9.85/5.50 % (1583119)------------------------------
% 9.85/5.50 % (1583119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583119)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583119)Termination reason: Instruction limit
% 9.85/5.50 % (1583119)Termination phase: Saturation
% 9.85/5.50 % (1583119)Time elapsed: 0.433 s
% 9.85/5.50 % (1583119)Peak memory usage: 18 MB
% 9.85/5.50 % (1583119)Instructions burned: 881 (million)
% 9.85/5.50 % TRYING [5]
% 9.85/5.50 % (1583125)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3349694664:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 9.85/5.50 % TRYING [8]
% 9.85/5.50 % (1583115)Instruction limit reached!
% 9.85/5.50 % (1583115)------------------------------
% 9.85/5.50 % (1583115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583115)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583115)Termination reason: Instruction limit
% 9.85/5.50 % (1583115)Termination phase: Finite model building constraint generation
% 9.85/5.50 % (1583115)Time elapsed: 0.806 s
% 9.85/5.50 % (1583115)Peak memory usage: 109 MB
% 9.85/5.50 % (1583115)Instructions burned: 890 (million)
% 9.85/5.50 % (1583127)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3953861616:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 9.85/5.50 % TRYING [5]
% 9.85/5.50 % (1583125)Instruction limit reached!
% 9.85/5.50 % (1583125)------------------------------
% 9.85/5.50 % (1583125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583125)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583125)Termination reason: Instruction limit
% 9.85/5.50 % (1583125)Termination phase: Finite model building constraint generation
% 9.85/5.50 % (1583125)Time elapsed: 0.348 s
% 9.85/5.50 % (1583125)Peak memory usage: 74 MB
% 9.85/5.50 % (1583125)Instructions burned: 921 (million)
% 9.85/5.50 % (1583129)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1219725625:i=1472:ins=7:fdi=8:gsp=on_2979 on theBenchmark for (2979ds/1472Mi)
% 9.85/5.50 % (1583129)Instruction limit reached!
% 9.85/5.50 % (1583129)------------------------------
% 9.85/5.50 % (1583129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583129)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583129)Termination reason: Instruction limit
% 9.85/5.50 % (1583129)Termination phase: Saturation
% 9.85/5.50 % (1583129)Time elapsed: 0.744 s
% 9.85/5.50 % (1583129)Peak memory usage: 24 MB
% 9.85/5.50 % (1583129)Instructions burned: 1474 (million)
% 9.85/5.50 % (1583131)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1918652619:i=6324_2971 on theBenchmark for (2971ds/6324Mi)
% 9.85/5.50 % (1583131)Cannot represent all propositional literals internally
% 9.85/5.50 % (1583131)Refutation not found, incomplete strategy
% 9.85/5.50 % (1583131)------------------------------
% 9.85/5.50 % (1583131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583131)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583131)Termination reason: Refutation not found, incomplete strategy
% 9.85/5.50 % (1583131)Time elapsed: 0.002 s
% 9.85/5.50 % (1583131)Peak memory usage: 10 MB
% 9.85/5.50 % (1583131)Instructions burned: 1 (million)
% 9.85/5.50 % (1583131)------------------------------
% 9.85/5.50 % (1583131)------------------------------
% 9.85/5.50 % (1583133)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1179346386:fmbsr=2.30978:i=2174_2971 on theBenchmark for (2971ds/2174Mi)
% 9.85/5.50 % TRYING [16]
% 9.85/5.50 % (1583133)Instruction limit reached!
% 9.85/5.50 % (1583133)------------------------------
% 9.85/5.50 % (1583133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583133)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583133)Termination reason: Instruction limit
% 9.85/5.50 % (1583133)Termination phase: Finite model building constraint generation
% 9.85/5.50 % (1583133)Time elapsed: 0.800 s
% 9.85/5.50 % (1583133)Peak memory usage: 134 MB
% 9.85/5.50 % (1583133)Instructions burned: 2174 (million)
% 9.85/5.50 % (1583135)ott-2_1_sil=16000:newcnf=on:random_seed=3282944446:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2962 on theBenchmark for (2962ds/869Mi)
% 9.85/5.50 % (1583135)Instruction limit reached!
% 9.85/5.50 % (1583135)------------------------------
% 9.85/5.50 % (1583135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583135)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583135)Termination reason: Instruction limit
% 9.85/5.50 % (1583135)Termination phase: Saturation
% 9.85/5.50 % (1583135)Time elapsed: 0.444 s
% 9.85/5.50 % (1583135)Peak memory usage: 21 MB
% 9.85/5.50 % (1583135)Instructions burned: 871 (million)
% 9.85/5.50 % (1583137)ott+10_1_sil=32000:tgt=ground:random_seed=3056588785:i=5114:av=off_2957 on theBenchmark for (2957ds/5114Mi)
% 9.85/5.50 % (1583137) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1583082-1583137"...
% 9.85/5.50 % (1583137)...printing done.
% 9.85/5.50 % (1583137)Refutation found. Thanks to Tanya!
% 9.85/5.50 % SZS status Unsatisfiable for theBenchmark
% 9.85/5.50 % SZS output start Proof for theBenchmark
% See solution above
% 9.85/5.50 % (1583137)------------------------------
% 9.85/5.50 % (1583137)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.85/5.50 % (1583137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.85/5.50 % (1583137)CaDiCaL version: 2.1.3
% 9.85/5.50 % (1583137)Termination reason: Refutation
% 9.85/5.50 % (1583137)Time elapsed: 0.763 s
% 9.85/5.50 % (1583137)Peak memory usage: 27 MB
% 9.85/5.50 % (1583137)Instructions burned: 1522 (million)
% 9.85/5.50 % (1583082)Success in time 5.133 s
% 9.85/5.50 % Vampire exiting
%------------------------------------------------------------------------------