%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL148-1 : 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 : n003.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 11:51:20 AM UTC 2026
% Result : Unsatisfiable 46.14s 8.40s
% Output : Refutation 53.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 20
% Syntax : Number of formulae : 170 ( 170 unt; 13 def)
% Number of atoms : 170 ( 169 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 17 con; 0-2 aty)
% Number of variables : 216 ( 216 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_1) ).
fof(f2,axiom,
! [X2,X0,X1] : implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f3,plain,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_3) ).
fof(f5,axiom,
! [X0,X1] : implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wajsberg_4) ).
fof(f6,plain,
! [X0,X1] : truth = implies(implies(not(X0),not(X1)),implies(X1,X0)),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] : big_V(X0,X1) = implies(implies(X0,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',big_V_definition) ).
fof(f8,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = big_V(X0,X1),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X0,X1] : big_hat(X0,X1) = not(big_V(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',big_hat_definition) ).
fof(f14,negated_conjecture,
implies(x,big_hat(y,z)) != big_hat(implies(x,y),implies(x,z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_theorem) ).
fof(f15,plain,
! [X0,X1] : big_hat(X0,X1) = not(implies(implies(not(X0),not(X1)),not(X1))),
inference(definition_unfolding,[],[f9,f8]) ).
fof(f16,plain,
implies(x,not(implies(implies(not(y),not(z)),not(z)))) != not(implies(implies(not(implies(x,y)),not(implies(x,z))),not(implies(x,z)))),
inference(definition_unfolding,[],[f14,f15,f15]) ).
fof(f17,definition,
sF0 = not(y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f18,plain,
not(y) = sF0,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF1 = not(z),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f20,plain,
not(z) = sF1,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF2 = implies(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f22,plain,
implies(sF0,sF1) = sF2,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF3 = implies(sF2,sF1),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f24,plain,
implies(sF2,sF1) = sF3,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f26,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF5 = implies(x,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f28,plain,
implies(x,sF4) = sF5,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF6 = implies(x,y),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f30,plain,
implies(x,y) = sF6,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF7 = not(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f32,plain,
not(sF6) = sF7,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF8 = implies(x,z),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f34,plain,
implies(x,z) = sF8,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF9 = not(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f36,plain,
not(sF8) = sF9,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF10 = implies(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f38,plain,
implies(sF7,sF9) = sF10,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF11 = implies(sF10,sF9),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f40,plain,
implies(sF10,sF9) = sF11,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF12 = not(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f42,plain,
not(sF11) = sF12,
inference(reorient_equations,[],[f41]) ).
fof(f43,plain,
sF5 != sF12,
inference(definition_folding,[],[f16,f42,f40,f36,f34,f38,f36,f34,f32,f30,f28,f26,f24,f20,f22,f20,f18]) ).
fof(f47,plain,
! [X2,X3,X0,X1] : truth = implies(truth,implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),
inference(superposition,[],[f3,f3]) ).
fof(f49,plain,
! [X2,X0,X1] : truth = implies(implies(X0,implies(not(X1),not(X2))),implies(truth,implies(X0,implies(X2,X1)))),
inference(superposition,[],[f3,f6]) ).
fof(f54,plain,
! [X0,X1] : truth = implies(implies(truth,X1),implies(implies(X1,X0),X0)),
inference(superposition,[],[f3,f1]) ).
fof(f58,plain,
! [X0,X1] : truth = implies(X1,implies(implies(X1,X0),X0)),
inference(forward_demodulation,[],[f54,f1]) ).
fof(f60,plain,
! [X2,X0,X1] : truth = implies(implies(X0,implies(not(X1),not(X2))),implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f49,f1]) ).
fof(f62,plain,
! [X2,X3,X0,X1] : truth = implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3)),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f93,plain,
! [X2,X0,X1] : implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)) = implies(truth,implies(implies(X0,X1),implies(X2,X1))),
inference(superposition,[],[f4,f3]) ).
fof(f104,plain,
! [X2,X0,X1] : implies(implies(X0,X1),implies(X2,X1)) = implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X2,X0)),implies(X2,X0)),
inference(forward_demodulation,[],[f93,f1]) ).
fof(f135,plain,
! [X2,X0,X1] : implies(truth,implies(X2,implies(X1,X0))) = implies(implies(implies(truth,implies(X2,implies(X1,X0))),implies(X2,implies(not(X0),not(X1)))),implies(X2,implies(not(X0),not(X1)))),
inference(superposition,[],[f104,f6]) ).
fof(f164,plain,
! [X0,X1] : implies(implies(X0,X1),implies(truth,X1)) = implies(implies(implies(implies(X0,X1),implies(truth,X1)),X0),X0),
inference(superposition,[],[f104,f1]) ).
fof(f169,plain,
! [X2,X0,X1] : implies(implies(X0,X2),implies(implies(X1,X0),X2)) = implies(implies(implies(implies(X0,X2),implies(implies(X1,X0),X2)),implies(implies(X0,X1),X1)),implies(implies(X0,X1),X1)),
inference(superposition,[],[f104,f4]) ).
fof(f183,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(implies(implies(X0,X1),X1),X0),X0),
inference(forward_demodulation,[],[f164,f1]) ).
fof(f188,plain,
! [X2,X0,X1] : implies(X2,implies(X1,X0)) = implies(implies(implies(X2,implies(X1,X0)),implies(X2,implies(not(X0),not(X1)))),implies(X2,implies(not(X0),not(X1)))),
inference(forward_demodulation,[],[f135,f1]) ).
fof(f192,plain,
! [X0,X1] : implies(truth,implies(X1,X0)) = implies(implies(implies(truth,implies(X1,X0)),implies(not(X0),not(X1))),implies(not(X0),not(X1))),
inference(superposition,[],[f183,f6]) ).
fof(f220,plain,
! [X0,X1] : implies(X1,X0) = implies(implies(implies(X1,X0),implies(not(X0),not(X1))),implies(not(X0),not(X1))),
inference(forward_demodulation,[],[f192,f1]) ).
fof(f241,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(superposition,[],[f3,f58]) ).
fof(f251,plain,
! [X0] : truth = implies(implies(truth,X0),X0),
inference(superposition,[],[f1,f58]) ).
fof(f255,plain,
! [X0] : truth = implies(X0,X0),
inference(forward_demodulation,[],[f251,f1]) ).
fof(f261,plain,
! [X2,X0,X1] : truth = implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2)),
inference(forward_demodulation,[],[f241,f1]) ).
fof(f340,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X1) = implies(truth,implies(X0,X1)),
inference(superposition,[],[f183,f261]) ).
fof(f355,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X0,X1),X1),X1),
inference(forward_demodulation,[],[f340,f1]) ).
fof(f391,plain,
sF2 = implies(implies(sF2,sF1),sF1),
inference(superposition,[],[f355,f22]) ).
fof(f396,plain,
! [X0,X1] : implies(X1,X0) = implies(implies(implies(X0,X1),X1),X0),
inference(superposition,[],[f355,f4]) ).
fof(f414,plain,
sF2 = implies(sF3,sF1),
inference(forward_demodulation,[],[f391,f24]) ).
fof(f692,plain,
! [X2,X0,X1] : truth = implies(truth,implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1)))),
inference(superposition,[],[f62,f261]) ).
fof(f785,plain,
! [X2,X0,X1] : truth = implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1))),
inference(forward_demodulation,[],[f692,f1]) ).
fof(f934,plain,
! [X2,X0,X1] : implies(truth,implies(X1,implies(X0,X2))) = implies(implies(implies(truth,implies(X1,implies(X0,X2))),implies(X0,implies(X1,X2))),implies(X0,implies(X1,X2))),
inference(superposition,[],[f183,f785]) ).
fof(f943,plain,
! [X2,X0,X1] : implies(X1,implies(X0,X2)) = implies(implies(implies(X1,implies(X0,X2)),implies(X0,implies(X1,X2))),implies(X0,implies(X1,X2))),
inference(forward_demodulation,[],[f934,f1]) ).
fof(f983,plain,
! [X2,X0,X1] : implies(X1,implies(X0,X2)) = implies(truth,implies(X0,implies(X1,X2))),
inference(forward_demodulation,[],[f943,f785]) ).
fof(f993,plain,
! [X2,X0,X1] : implies(X0,implies(X1,X2)) = implies(X1,implies(X0,X2)),
inference(forward_demodulation,[],[f983,f1]) ).
fof(f1043,plain,
! [X0,X1] : implies(X1,truth) = implies(X0,implies(X1,X0)),
inference(superposition,[],[f993,f255]) ).
fof(f1047,plain,
! [X2,X0,X1] : implies(X2,implies(implies(X0,X1),X1)) = implies(implies(X1,X0),implies(X2,X0)),
inference(superposition,[],[f993,f4]) ).
fof(f1060,plain,
! [X0] : implies(X0,sF5) = implies(x,implies(X0,sF4)),
inference(superposition,[],[f993,f28]) ).
fof(f1062,plain,
! [X0] : implies(X0,sF3) = implies(sF2,implies(X0,sF1)),
inference(superposition,[],[f993,f24]) ).
fof(f1296,plain,
! [X0,X1] : implies(X0,implies(implies(X0,X1),X1)) = implies(implies(X1,X0),truth),
inference(superposition,[],[f1043,f4]) ).
fof(f1312,plain,
implies(sF1,sF2) = implies(sF0,truth),
inference(superposition,[],[f1043,f22]) ).
fof(f1333,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),X1) = implies(implies(X0,truth),implies(X0,X1)),
inference(superposition,[],[f4,f1043]) ).
fof(f1360,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(X0,truth),implies(X0,X1)),
inference(forward_demodulation,[],[f1333,f355]) ).
fof(f1374,plain,
! [X0,X1] : truth = implies(implies(X1,X0),truth),
inference(forward_demodulation,[],[f1296,f58]) ).
fof(f1495,plain,
! [X0] : truth = implies(X0,truth),
inference(superposition,[],[f255,f1360]) ).
fof(f2049,plain,
! [X0] : implies(implies(sF4,x),implies(X0,x)) = implies(X0,implies(sF5,sF4)),
inference(superposition,[],[f1047,f28]) ).
fof(f5033,plain,
truth = implies(sF1,sF2),
inference(superposition,[],[f1495,f1312]) ).
fof(f5969,plain,
! [X2,X0,X1] : implies(implies(X2,X1),implies(X0,X1)) = implies(implies(implies(X1,X0),X0),implies(implies(X1,X2),X2)),
inference(superposition,[],[f1047,f396]) ).
fof(f13324,plain,
! [X0,X1] : implies(not(X1),implies(X1,X0)) = implies(implies(implies(not(X1),implies(X1,X0)),implies(not(X0),truth)),implies(not(X0),truth)),
inference(superposition,[],[f188,f1043]) ).
fof(f13488,plain,
! [X0,X1] : implies(not(X1),implies(X1,X0)) = implies(implies(implies(not(X1),implies(X1,X0)),truth),truth),
inference(forward_demodulation,[],[f13324,f1495]) ).
fof(f13557,plain,
! [X0,X1] : truth = implies(not(X1),implies(X1,X0)),
inference(forward_demodulation,[],[f13488,f1374]) ).
fof(f13659,plain,
truth = implies(not(sF3),sF2),
inference(superposition,[],[f13557,f414]) ).
fof(f13683,plain,
! [X0,X1] : truth = implies(truth,implies(not(not(X0)),implies(X1,X0))),
inference(superposition,[],[f60,f13557]) ).
fof(f13819,plain,
! [X0,X1] : truth = implies(not(not(X0)),implies(X1,X0)),
inference(forward_demodulation,[],[f13683,f1]) ).
fof(f13827,plain,
truth = implies(sF4,sF2),
inference(forward_demodulation,[],[f13659,f26]) ).
fof(f13884,plain,
! [X0] : truth = implies(not(not(X0)),X0),
inference(superposition,[],[f13819,f1]) ).
fof(f13962,plain,
! [X0,X1] : truth = implies(implies(X0,X1),implies(not(not(X0)),X1)),
inference(superposition,[],[f1047,f13819]) ).
fof(f14156,plain,
! [X0] : truth = implies(truth,implies(X0,not(not(X0)))),
inference(superposition,[],[f6,f13884]) ).
fof(f14184,plain,
! [X0,X1] : implies(implies(X0,X1),implies(truth,X1)) = implies(implies(implies(implies(X0,X1),implies(truth,X1)),implies(implies(X0,not(not(X0))),not(not(X0)))),implies(implies(X0,not(not(X0))),not(not(X0)))),
inference(superposition,[],[f169,f13884]) ).
fof(f14287,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(implies(implies(X0,X1),X1),implies(implies(X0,not(not(X0))),not(not(X0)))),implies(implies(X0,not(not(X0))),not(not(X0)))),
inference(forward_demodulation,[],[f14184,f1]) ).
fof(f14310,plain,
! [X0] : truth = implies(X0,not(not(X0))),
inference(forward_demodulation,[],[f14156,f1]) ).
fof(f14322,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(implies(not(not(X0)),X0),implies(X1,X0)),implies(implies(X0,not(not(X0))),not(not(X0)))),
inference(forward_demodulation,[],[f14287,f5969]) ).
fof(f14333,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(implies(not(not(X0)),X0),implies(X1,X0)),implies(truth,not(not(X0)))),
inference(forward_demodulation,[],[f14322,f14310]) ).
fof(f14339,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(implies(not(not(X0)),X0),implies(X1,X0)),not(not(X0))),
inference(forward_demodulation,[],[f14333,f1]) ).
fof(f14340,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(truth,implies(X1,X0)),not(not(X0))),
inference(forward_demodulation,[],[f14339,f13884]) ).
fof(f14341,plain,
! [X0,X1] : implies(implies(X0,X1),X1) = implies(implies(X1,X0),not(not(X0))),
inference(forward_demodulation,[],[f14340,f1]) ).
fof(f14378,plain,
! [X0] : implies(truth,not(not(X0))) = implies(implies(implies(truth,not(not(X0))),X0),X0),
inference(superposition,[],[f183,f14310]) ).
fof(f14398,plain,
! [X0,X1] : implies(X0,implies(implies(not(not(X1)),X1),X1)) = implies(truth,implies(X0,not(not(X1)))),
inference(superposition,[],[f1047,f14310]) ).
fof(f14452,plain,
! [X0,X1] : implies(X0,not(not(X1))) = implies(X0,implies(implies(not(not(X1)),X1),X1)),
inference(forward_demodulation,[],[f14398,f1]) ).
fof(f14467,plain,
! [X0] : not(not(X0)) = implies(implies(not(not(X0)),X0),X0),
inference(forward_demodulation,[],[f14378,f1]) ).
fof(f14500,plain,
! [X0,X1] : implies(X0,implies(truth,X1)) = implies(X0,not(not(X1))),
inference(forward_demodulation,[],[f14452,f13884]) ).
fof(f14503,plain,
! [X0] : implies(truth,X0) = not(not(X0)),
inference(forward_demodulation,[],[f14467,f13884]) ).
fof(f14522,plain,
! [X0,X1] : implies(X0,X1) = implies(X0,not(not(X1))),
inference(forward_demodulation,[],[f14500,f1]) ).
fof(f14525,plain,
! [X0] : not(not(X0)) = X0,
inference(forward_demodulation,[],[f14503,f1]) ).
fof(f14543,plain,
z = not(sF1),
inference(superposition,[],[f14525,f20]) ).
fof(f14544,plain,
sF3 = not(sF4),
inference(superposition,[],[f14525,f26]) ).
fof(f14552,plain,
! [X0,X1] : truth = implies(implies(not(X1),X0),implies(not(X0),X1)),
inference(superposition,[],[f6,f14525]) ).
fof(f17020,plain,
! [X2,X0,X1] : implies(implies(implies(not(X2),X1),implies(not(X1),X2)),implies(X0,implies(not(X1),X2))) = implies(X0,implies(truth,implies(not(X2),X1))),
inference(superposition,[],[f1047,f14552]) ).
fof(f17053,plain,
! [X2,X0,X1] : implies(X0,implies(not(X2),X1)) = implies(implies(implies(not(X2),X1),implies(not(X1),X2)),implies(X0,implies(not(X1),X2))),
inference(forward_demodulation,[],[f17020,f1]) ).
fof(f17125,plain,
! [X2,X0,X1] : implies(X0,implies(not(X2),X1)) = implies(truth,implies(X0,implies(not(X1),X2))),
inference(forward_demodulation,[],[f17053,f14552]) ).
fof(f17150,plain,
! [X2,X0,X1] : implies(X0,implies(not(X2),X1)) = implies(X0,implies(not(X1),X2)),
inference(forward_demodulation,[],[f17125,f1]) ).
fof(f28141,plain,
! [X2,X0,X1] : implies(X0,implies(not(X1),X2)) = implies(not(X2),implies(X0,X1)),
inference(superposition,[],[f993,f17150]) ).
fof(f28235,plain,
! [X0,X1] : implies(X0,X1) = implies(implies(implies(X0,X1),implies(not(not(X0)),X1)),implies(not(X1),not(X0))),
inference(superposition,[],[f220,f17150]) ).
fof(f28322,plain,
! [X0] : implies(not(X0),sF3) = implies(sF2,implies(not(sF1),X0)),
inference(superposition,[],[f1062,f17150]) ).
fof(f28329,plain,
! [X0] : implies(not(X0),sF3) = implies(sF2,implies(z,X0)),
inference(forward_demodulation,[],[f28322,f14543]) ).
fof(f28349,plain,
! [X0,X1] : implies(X0,X1) = implies(truth,implies(not(X1),not(X0))),
inference(forward_demodulation,[],[f28235,f13962]) ).
fof(f28482,plain,
! [X0,X1] : implies(X0,X1) = implies(not(X1),not(X0)),
inference(forward_demodulation,[],[f28349,f1]) ).
fof(f28522,plain,
! [X0] : implies(X0,sF4) = implies(sF3,not(X0)),
inference(superposition,[],[f28482,f14544]) ).
fof(f28523,plain,
! [X0] : implies(X0,sF6) = implies(sF7,not(X0)),
inference(superposition,[],[f28482,f32]) ).
fof(f28531,plain,
! [X0] : implies(z,X0) = implies(not(X0),sF1),
inference(superposition,[],[f28482,f20]) ).
fof(f28535,plain,
! [X0] : implies(sF4,X0) = implies(not(X0),sF3),
inference(superposition,[],[f28482,f14544]) ).
fof(f28584,plain,
! [X0,X1] : implies(implies(not(X0),not(X1)),not(X1)) = implies(implies(X0,X1),not(X0)),
inference(superposition,[],[f4,f28482]) ).
fof(f28626,plain,
! [X2,X0,X1] : implies(X2,implies(X0,X1)) = implies(not(X1),implies(X2,not(X0))),
inference(superposition,[],[f993,f28482]) ).
fof(f28690,plain,
! [X0,X1] : implies(implies(X0,X1),not(X0)) = implies(implies(X1,X0),not(X1)),
inference(forward_demodulation,[],[f28584,f28482]) ).
fof(f29812,plain,
implies(sF0,sF1) = implies(z,y),
inference(superposition,[],[f28531,f18]) ).
fof(f29961,plain,
sF2 = implies(z,y),
inference(forward_demodulation,[],[f29812,f22]) ).
fof(f30032,plain,
! [X0] : implies(X0,sF2) = implies(z,implies(X0,y)),
inference(superposition,[],[f993,f29961]) ).
fof(f30433,plain,
! [X2,X0,X1] : implies(not(X0),implies(X1,X2)) = implies(not(X2),implies(X1,X0)),
inference(superposition,[],[f993,f28141]) ).
fof(f35202,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),not(implies(X1,X0))) = implies(implies(not(not(X0)),implies(X1,X0)),not(not(not(X0)))),
inference(superposition,[],[f28690,f14341]) ).
fof(f35249,plain,
implies(implies(sF1,sF2),not(sF1)) = implies(sF3,not(sF2)),
inference(superposition,[],[f28690,f24]) ).
fof(f35468,plain,
! [X2,X0,X1] : implies(not(X2),implies(implies(X0,X1),not(X0))) = implies(not(not(X1)),implies(implies(X1,X0),X2)),
inference(superposition,[],[f30433,f28690]) ).
fof(f35469,plain,
! [X2,X0,X1] : implies(X1,implies(implies(X1,X0),X2)) = implies(not(X2),implies(implies(X0,X1),not(X0))),
inference(forward_demodulation,[],[f35468,f14525]) ).
fof(f35572,plain,
implies(sF2,sF4) = implies(implies(sF1,sF2),not(sF1)),
inference(forward_demodulation,[],[f35249,f28522]) ).
fof(f35619,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),not(implies(X1,X0))) = implies(implies(not(not(X0)),implies(X1,X0)),not(X0)),
inference(forward_demodulation,[],[f35202,f14522]) ).
fof(f35755,plain,
! [X2,X0,X1] : implies(implies(X0,X1),implies(X0,X2)) = implies(X1,implies(implies(X1,X0),X2)),
inference(forward_demodulation,[],[f35469,f28626]) ).
fof(f35832,plain,
implies(sF2,sF4) = implies(implies(sF1,sF2),z),
inference(forward_demodulation,[],[f35572,f14543]) ).
fof(f35869,plain,
! [X0,X1] : implies(implies(implies(X0,X1),X1),not(implies(X1,X0))) = implies(truth,not(X0)),
inference(forward_demodulation,[],[f35619,f13819]) ).
fof(f36025,plain,
implies(truth,z) = implies(sF2,sF4),
inference(forward_demodulation,[],[f35832,f5033]) ).
fof(f36050,plain,
! [X0,X1] : not(X0) = implies(implies(implies(X0,X1),X1),not(implies(X1,X0))),
inference(forward_demodulation,[],[f35869,f1]) ).
fof(f36156,plain,
z = implies(sF2,sF4),
inference(forward_demodulation,[],[f36025,f1]) ).
fof(f36276,plain,
implies(x,z) = implies(sF2,sF5),
inference(superposition,[],[f1060,f36156]) ).
fof(f36324,plain,
! [X0] : implies(X0,implies(implies(sF4,sF2),sF2)) = implies(z,implies(X0,sF4)),
inference(superposition,[],[f1047,f36156]) ).
fof(f36376,plain,
! [X0] : implies(X0,implies(truth,sF2)) = implies(z,implies(X0,sF4)),
inference(forward_demodulation,[],[f36324,f13827]) ).
fof(f36413,plain,
sF8 = implies(sF2,sF5),
inference(forward_demodulation,[],[f36276,f34]) ).
fof(f36429,plain,
! [X0] : implies(X0,sF2) = implies(z,implies(X0,sF4)),
inference(forward_demodulation,[],[f36376,f1]) ).
fof(f38080,plain,
! [X0] : implies(X0,implies(implies(X0,x),y)) = implies(implies(x,X0),sF6),
inference(superposition,[],[f35755,f30]) ).
fof(f49248,plain,
implies(sF7,sF9) = implies(sF8,sF6),
inference(superposition,[],[f28523,f36]) ).
fof(f49414,plain,
sF10 = implies(sF8,sF6),
inference(forward_demodulation,[],[f49248,f38]) ).
fof(f62834,plain,
implies(implies(z,x),sF2) = implies(implies(x,z),sF6),
inference(superposition,[],[f30032,f38080]) ).
fof(f62848,plain,
implies(sF8,sF6) = implies(implies(z,x),sF2),
inference(forward_demodulation,[],[f62834,f34]) ).
fof(f62947,plain,
sF10 = implies(implies(z,x),sF2),
inference(forward_demodulation,[],[f62848,f49414]) ).
fof(f113277,plain,
sF10 = implies(implies(sF10,sF2),sF2),
inference(superposition,[],[f355,f62947]) ).
fof(f113304,plain,
implies(implies(sF2,implies(z,x)),implies(z,x)) = implies(sF10,not(not(sF2))),
inference(superposition,[],[f14341,f62947]) ).
fof(f113401,plain,
implies(implies(sF2,implies(z,x)),implies(z,x)) = implies(sF10,sF2),
inference(forward_demodulation,[],[f113304,f14522]) ).
fof(f113472,plain,
implies(sF10,sF2) = implies(implies(not(x),sF3),implies(z,x)),
inference(forward_demodulation,[],[f113401,f28329]) ).
fof(f113516,plain,
implies(sF10,sF2) = implies(implies(sF4,x),implies(z,x)),
inference(forward_demodulation,[],[f113472,f28535]) ).
fof(f113531,plain,
implies(sF10,sF2) = implies(z,implies(sF5,sF4)),
inference(forward_demodulation,[],[f113516,f2049]) ).
fof(f113540,plain,
implies(sF5,sF2) = implies(sF10,sF2),
inference(forward_demodulation,[],[f113531,f36429]) ).
fof(f114224,plain,
not(sF5) = implies(implies(implies(sF10,sF2),sF2),not(implies(sF2,sF5))),
inference(superposition,[],[f36050,f113540]) ).
fof(f114271,plain,
not(sF5) = implies(implies(implies(sF10,sF2),sF2),not(sF8)),
inference(forward_demodulation,[],[f114224,f36413]) ).
fof(f114348,plain,
not(sF5) = implies(implies(implies(sF10,sF2),sF2),sF9),
inference(forward_demodulation,[],[f114271,f36]) ).
fof(f114389,plain,
implies(sF10,sF9) = not(sF5),
inference(forward_demodulation,[],[f114348,f113277]) ).
fof(f114405,plain,
sF11 = not(sF5),
inference(forward_demodulation,[],[f114389,f40]) ).
fof(f115009,plain,
sF5 = not(sF11),
inference(superposition,[],[f14525,f114405]) ).
fof(f115121,plain,
sF5 = sF12,
inference(forward_demodulation,[],[f115009,f42]) ).
fof(f115154,plain,
$false,
inference(forward_subsumption_resolution,[],[f115121,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL148-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 15:25:11 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.78/3.83 % (699741)Input is clausal, will run a generic CNF schedule.
% 20.78/3.83 % (699820)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=152308058:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 20.78/3.83 % (699819)lrs+10_1_sil=8000:sp=occurrence:random_seed=688635435:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 20.78/3.83 % (699820)Instruction limit reached!
% 20.78/3.83 % (699820)------------------------------
% 20.78/3.83 % (699820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.78/3.83 % (699820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.78/3.83 % (699820)CaDiCaL version: 2.1.3
% 20.78/3.83 % (699820)Termination reason: Instruction limit
% 20.78/3.83 % (699820)Termination phase: Saturation
% 20.78/3.83 % (699820)Time elapsed: 0.047 s
% 20.78/3.83 % (699820)Peak memory usage: 89 MB
% 20.78/3.83 % (699820)Instructions burned: 114 (million)
% 20.78/3.83 % (699817)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3242072306:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 20.78/3.83 % (699816)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=2706511964:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 20.78/3.83 % (699818)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3983189030:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 20.78/3.83 % (699822)dis-21_1_sil=8000:lcm=predicate:random_seed=2817769745: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)
% 20.78/3.83 % (699822)Refutation not found, incomplete strategy
% 20.78/3.83 % (699822)------------------------------
% 20.78/3.83 % (699822)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.78/3.83 % (699822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.78/3.83 % (699822)CaDiCaL version: 2.1.3
% 20.78/3.83 % (699822)Termination reason: Refutation not found, incomplete strategy
% 20.78/3.83 % (699822)Time elapsed: 0.002 s
% 20.78/3.83 % (699822)Peak memory usage: 88 MB
% 20.78/3.83 % (699821)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1975802758:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 20.78/3.83 % (699819)Instruction limit reached!
% 20.78/3.83 % (699819)------------------------------
% 20.78/3.83 % (699819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.78/3.83 % (699819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.78/3.83 % (699819)CaDiCaL version: 2.1.3
% 20.78/3.83 % (699819)Termination reason: Instruction limit
% 20.78/3.83 % (699819)Termination phase: Saturation
% 20.78/3.83 % (699819)Time elapsed: 0.072 s
% 20.78/3.83 % (699819)Peak memory usage: 89 MB
% 20.78/3.83 % (699819)Instructions burned: 107 (million)
% 20.78/3.83 % (699857)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=1942533188:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 20.78/3.83 % (699857)Refutation not found, incomplete strategy
% 20.78/3.83 % (699857)------------------------------
% 20.78/3.83 % (699857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.78/3.83 % (699857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.78/3.83 % (699857)CaDiCaL version: 2.1.3
% 20.78/3.83 % (699857)Termination reason: Refutation not found, incomplete strategy
% 20.78/3.83 % (699857)Time elapsed: 0.002 s
% 20.78/3.83 % (699857)Peak memory usage: 88 MB
% 20.78/3.83 % (699857)Instructions burned: 1 (million)
% 20.78/3.83 % (699821)Instruction limit reached!
% 20.78/3.83 % (699821)------------------------------
% 20.78/3.83 % (699821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.78/3.83 % (699821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.78/3.83 % (699821)CaDiCaL version: 2.1.3
% 20.78/3.83 % (699821)Termination reason: Instruction limit
% 20.78/3.83 % (699821)Termination phase: Saturation
% 20.78/3.83 % (699821)Time elapsed: 0.169 s
% 20.78/3.83 % (699821)Peak memory usage: 89 MB
% 20.78/3.83 % (699821)Instructions burned: 180 (million)
% 20.78/3.83 % (699822)------------------------------
% 20.78/3.83 % (699822)------------------------------
% 20.78/3.83 % (699868)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1844605440: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)
% 38.90/6.38 % (699868)Refutation not found, incomplete strategy
% 38.90/6.38 % (699868)------------------------------
% 38.90/6.38 % (699868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.38 % (699868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.38 % (699868)CaDiCaL version: 2.1.3
% 38.90/6.38 % (699868)Termination reason: Refutation not found, incomplete strategy
% 38.90/6.38 % (699868)Time elapsed: 0.003 s
% 38.90/6.38 % (699868)Peak memory usage: 88 MB
% 38.90/6.38 % (699868)Instructions burned: 1 (million)
% 38.90/6.38 % (699857)------------------------------
% 38.90/6.38 % (699857)------------------------------
% 38.90/6.38 % (699872)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3379910615:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 38.90/6.38 % (699872)Refutation not found, incomplete strategy
% 38.90/6.38 % (699872)------------------------------
% 38.90/6.38 % (699872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.38 % (699872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.38 % (699872)CaDiCaL version: 2.1.3
% 38.90/6.38 % (699872)Termination reason: Refutation not found, incomplete strategy
% 38.90/6.38 % (699872)Time elapsed: 0.003 s
% 38.90/6.38 % (699872)Peak memory usage: 88 MB
% 38.90/6.38 % (699872)Instructions burned: 1 (million)
% 38.90/6.38 % (699875)lrs+10_64_to=lpo:sil=8000:random_seed=3721153632:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 38.90/6.38 % (699875)Instruction limit reached!
% 38.90/6.38 % (699875)------------------------------
% 38.90/6.38 % (699875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.38 % (699875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.38 % (699875)CaDiCaL version: 2.1.3
% 38.90/6.38 % (699875)Termination reason: Instruction limit
% 38.90/6.38 % (699875)Termination phase: Saturation
% 38.90/6.38 % (699875)Time elapsed: 0.133 s
% 38.90/6.38 % (699875)Peak memory usage: 89 MB
% 38.90/6.38 % (699875)Instructions burned: 126 (million)
% 38.90/6.38 % (699877)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2421316738:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 38.90/6.38 % (699868)------------------------------
% 38.90/6.38 % (699868)------------------------------
% 38.90/6.38 % (699877)Instruction limit reached!
% 38.90/6.38 % (699877)------------------------------
% 38.90/6.38 % (699877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.38 % (699877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.38 % (699877)CaDiCaL version: 2.1.3
% 38.90/6.38 % (699877)Termination reason: Instruction limit
% 38.90/6.38 % (699877)Termination phase: Saturation
% 38.90/6.38 % (699877)Time elapsed: 0.149 s
% 38.90/6.38 % (699877)Peak memory usage: 90 MB
% 38.90/6.38 % (699877)Instructions burned: 194 (million)
% 38.90/6.38 % (699872)------------------------------
% 38.90/6.38 % (699872)------------------------------
% 38.90/6.38 % (699886)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1847540716:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 38.90/6.38 % (699888)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=80896851:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 38.90/6.38 % (699891)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=2809184958:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 38.90/6.38 % (699886)Instruction limit reached!
% 38.90/6.38 % (699886)------------------------------
% 38.90/6.38 % (699886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.90/6.38 % (699886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.90/6.38 % (699886)CaDiCaL version: 2.1.3
% 38.90/6.38 % (699886)Termination reason: Instruction limit
% 38.90/6.38 % (699886)Termination phase: Saturation
% 38.90/6.38 % (699886)Time elapsed: 0.162 s
% 38.90/6.38 % (699886)Peak memory usage: 91 MB
% 38.90/6.38 % (699886)Instructions burned: 158 (million)
% 38.90/6.38 % (699892)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3708913568:i=107_2988 on theBenchmark for (2988ds/107Mi)
% 46.14/8.40 % (699892)Refutation not found, incomplete strategy
% 46.14/8.40 % (699892)------------------------------
% 46.14/8.40 % (699892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699892)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699892)Termination reason: Refutation not found, incomplete strategy
% 46.14/8.40 % (699892)Time elapsed: 0.002 s
% 46.14/8.40 % (699892)Peak memory usage: 88 MB
% 46.14/8.40 % (699891)Instruction limit reached!
% 46.14/8.40 % (699891)------------------------------
% 46.14/8.40 % (699891)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699891)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699891)Termination reason: Instruction limit
% 46.14/8.40 % (699891)Termination phase: Saturation
% 46.14/8.40 % (699891)Time elapsed: 0.109 s
% 46.14/8.40 % (699891)Peak memory usage: 88 MB
% 46.14/8.40 % (699891)Instructions burned: 106 (million)
% 46.14/8.40 % (699896)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1451540534:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 46.14/8.40 % (699900)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=697741004:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 46.14/8.40 % (699892)------------------------------
% 46.14/8.40 % (699892)------------------------------
% 46.14/8.40 % (699896)Instruction limit reached!
% 46.14/8.40 % (699896)------------------------------
% 46.14/8.40 % (699896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699896)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699896)Termination reason: Instruction limit
% 46.14/8.40 % (699896)Termination phase: Saturation
% 46.14/8.40 % (699896)Time elapsed: 0.225 s
% 46.14/8.40 % (699896)Peak memory usage: 90 MB
% 46.14/8.40 % (699896)Instructions burned: 242 (million)
% 46.14/8.40 % (699907)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4059907277:i=134:sd=2:doe=on:ss=axioms:sgt=14_2982 on theBenchmark for (2982ds/134Mi)
% 46.14/8.40 % (699908)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=910924072:i=499:bd=all_2980 on theBenchmark for (2980ds/499Mi)
% 46.14/8.40 % (699907)Instruction limit reached!
% 46.14/8.40 % (699907)------------------------------
% 46.14/8.40 % (699907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699907)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699907)Termination reason: Instruction limit
% 46.14/8.40 % (699907)Termination phase: Saturation
% 46.14/8.40 % (699907)Time elapsed: 0.131 s
% 46.14/8.40 % (699907)Peak memory usage: 89 MB
% 46.14/8.40 % (699907)Instructions burned: 135 (million)
% 46.14/8.40 % (699913)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=359792798:i=191:fgj=on:bd=all_2977 on theBenchmark for (2977ds/191Mi)
% 46.14/8.40 % (699913)Instruction limit reached!
% 46.14/8.40 % (699913)------------------------------
% 46.14/8.40 % (699913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699913)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699913)Termination reason: Instruction limit
% 46.14/8.40 % (699913)Termination phase: Saturation
% 46.14/8.40 % (699913)Time elapsed: 0.206 s
% 46.14/8.40 % (699913)Peak memory usage: 92 MB
% 46.14/8.40 % (699913)Instructions burned: 191 (million)
% 46.14/8.40 % (699908)Instruction limit reached!
% 46.14/8.40 % (699908)------------------------------
% 46.14/8.40 % (699908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699908)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699908)Termination reason: Instruction limit
% 46.14/8.40 % (699908)Termination phase: Saturation
% 46.14/8.40 % (699908)Time elapsed: 0.538 s
% 46.14/8.40 % (699908)Peak memory usage: 98 MB
% 46.14/8.40 % (699908)Instructions burned: 499 (million)
% 46.14/8.40 % (699917)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=788079291:i=264:kws=precedence:fsr=off_2972 on theBenchmark for (2972ds/264Mi)
% 46.14/8.40 % (699918)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=51573601:cond=on:i=156:bs=on:gtg=exists_all:er=known_2972 on theBenchmark for (2972ds/156Mi)
% 46.14/8.40 % (699918)Instruction limit reached!
% 46.14/8.40 % (699918)------------------------------
% 46.14/8.40 % (699918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699918)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699918)Termination reason: Instruction limit
% 46.14/8.40 % (699918)Termination phase: Saturation
% 46.14/8.40 % (699918)Time elapsed: 0.156 s
% 46.14/8.40 % (699918)Peak memory usage: 89 MB
% 46.14/8.40 % (699918)Instructions burned: 156 (million)
% 46.14/8.40 % (699917)Instruction limit reached!
% 46.14/8.40 % (699917)------------------------------
% 46.14/8.40 % (699917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699917)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699917)Termination reason: Instruction limit
% 46.14/8.40 % (699917)Termination phase: Saturation
% 46.14/8.40 % (699917)Time elapsed: 0.277 s
% 46.14/8.40 % (699917)Peak memory usage: 93 MB
% 46.14/8.40 % (699917)Instructions burned: 265 (million)
% 46.14/8.40 % (699921)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2805270971:i=3256:kws=precedence:bd=preordered:av=off_2967 on theBenchmark for (2967ds/3256Mi)
% 46.14/8.40 % (699922)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4107811110:i=537:av=off:ss=included_2967 on theBenchmark for (2967ds/537Mi)
% 46.14/8.40 % (699922)Instruction limit reached!
% 46.14/8.40 % (699922)------------------------------
% 46.14/8.40 % (699922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699922)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699922)Termination reason: Instruction limit
% 46.14/8.40 % (699922)Termination phase: Saturation
% 46.14/8.40 % (699922)Time elapsed: 0.490 s
% 46.14/8.40 % (699922)Peak memory usage: 92 MB
% 46.14/8.40 % (699922)Instructions burned: 537 (million)
% 46.14/8.40 % (699925)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2156170504:i=180:bd=preordered:av=off_2959 on theBenchmark for (2959ds/180Mi)
% 46.14/8.40 % (699925)Instruction limit reached!
% 46.14/8.40 % (699925)------------------------------
% 46.14/8.40 % (699925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699925)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699925)Termination reason: Instruction limit
% 46.14/8.40 % (699925)Termination phase: Saturation
% 46.14/8.40 % (699925)Time elapsed: 0.176 s
% 46.14/8.40 % (699925)Peak memory usage: 89 MB
% 46.14/8.40 % (699925)Instructions burned: 180 (million)
% 46.14/8.40 % (699927)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1569251541:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2954 on theBenchmark for (2954ds/10307Mi)
% 46.14/8.40 % (699888)Instruction limit reached!
% 46.14/8.40 % (699888)------------------------------
% 46.14/8.40 % (699888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699888)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699888)Termination reason: Instruction limit
% 46.14/8.40 % (699888)Termination phase: Saturation
% 46.14/8.40 % (699888)Time elapsed: 3.547 s
% 46.14/8.40 % (699888)Peak memory usage: 150 MB
% 46.14/8.40 % (699888)Instructions burned: 3394 (million)
% 46.14/8.40 % (699929)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=1834325721:i=412:gtgl=4:gtg=exists_all_2951 on theBenchmark for (2951ds/412Mi)
% 46.14/8.40 % (699929)Instruction limit reached!
% 46.14/8.40 % (699929)------------------------------
% 46.14/8.40 % (699929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699929)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699929)Termination reason: Instruction limit
% 46.14/8.40 % (699929)Termination phase: Saturation
% 46.14/8.40 % (699929)Time elapsed: 0.404 s
% 46.14/8.40 % (699929)Peak memory usage: 97 MB
% 46.14/8.40 % (699929)Instructions burned: 413 (million)
% 46.14/8.40 % (699933)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=2819213126:s2pl=no:i=8478:s2at=4:nm=6_2944 on theBenchmark for (2944ds/8478Mi)
% 46.14/8.40 % (699921)Instruction limit reached!
% 46.14/8.40 % (699921)------------------------------
% 46.14/8.40 % (699921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699921)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699921)Termination reason: Instruction limit
% 46.14/8.40 % (699921)Termination phase: Saturation
% 46.14/8.40 % (699921)Time elapsed: 3.398 s
% 46.14/8.40 % (699921)Peak memory usage: 149 MB
% 46.14/8.40 % (699921)Instructions burned: 3256 (million)
% 46.14/8.40 % (699900)Instruction limit reached!
% 46.14/8.40 % (699900)------------------------------
% 46.14/8.40 % (699900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699900)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699900)Termination reason: Instruction limit
% 46.14/8.40 % (699900)Termination phase: Saturation
% 46.14/8.40 % (699900)Time elapsed: 5.254 s
% 46.14/8.40 % (699900)Peak memory usage: 171 MB
% 46.14/8.40 % (699900)Instructions burned: 5208 (million)
% 46.14/8.40 % (699816)First to succeed.
% 46.14/8.40 % (699816)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-699741"
% 46.14/8.40 % (699941)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=915437905:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2931 on theBenchmark for (2931ds/303Mi)
% 46.14/8.40 % (699941)Refutation not found, incomplete strategy
% 46.14/8.40 % (699941)------------------------------
% 46.14/8.40 % (699941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699941)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699941)Termination reason: Refutation not found, incomplete strategy
% 46.14/8.40 % (699941)Time elapsed: 0.002 s
% 46.14/8.40 % (699941)Peak memory usage: 88 MB
% 46.14/8.40 % (699942)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2910795548:st=4:i=720:sd=3:fsr=off:ss=axioms_2929 on theBenchmark for (2929ds/720Mi)
% 46.14/8.40 % (699942)Refutation not found, incomplete strategy
% 46.14/8.40 % (699942)------------------------------
% 46.14/8.40 % (699942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.14/8.40 % (699942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.14/8.40 % (699942)CaDiCaL version: 2.1.3
% 46.14/8.40 % (699942)Termination reason: Refutation not found, incomplete strategy
% 46.14/8.40 % (699942)Time elapsed: 0.002 s
% 46.14/8.40 % (699942)Peak memory usage: 88 MB
% 46.14/8.40 % (699816)Refutation found. Thanks to Tanya!
% 46.14/8.40 % SZS status Unsatisfiable for theBenchmark
% 46.14/8.40 % SZS output start Proof for theBenchmark
% See solution above
% 53.98/8.70 % (699816)------------------------------
% 53.98/8.70 % (699816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.98/8.70 % (699816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.98/8.70 % (699816)CaDiCaL version: 2.1.3
% 53.98/8.70 % (699816)Termination reason: Refutation
% 53.98/8.70 % (699816)Time elapsed: 6.827 s
% 53.98/8.70 % (699816)Peak memory usage: 224 MB
% 53.98/8.70 % (699816)Instructions burned: 11163 (million)
% 53.98/8.70 % (699816)------------------------------
% 53.98/8.70 % (699816)------------------------------
% 53.98/8.70 % (699741)Success in time 7.536 s
% 53.98/8.70 % Vampire exiting
%------------------------------------------------------------------------------