%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE147-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 11:40:28 AM UTC 2026
% Result : Unsatisfiable 47.46s 8.66s
% Output : Refutation 55.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 32
% Syntax : Number of formulae : 134 ( 134 unt; 14 def)
% Number of atoms : 134 ( 133 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 20 con; 0-4 aty)
% Number of variables : 98 ( 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X0,X1] : ifeq3(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,negated_conjecture,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f3,negated_conjecture,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_002) ).
fof(f4,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f5,axiom,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f7,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence) ).
fof(f8,axiom,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f9,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f10,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f11,axiom,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1) ).
fof(f12,axiom,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity2) ).
fof(f17,axiom,
! [X0] : addition(one,multiplication(star(X0),X0)) = star(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold2) ).
fof(f18,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),X0)),
inference(reorient_equations,[],[f17]) ).
fof(f19,axiom,
! [X2,X0,X1] : ifeq(leq(addition(multiplication(X0,X1),X2),X1),true,leq(multiplication(star(X0),X2),X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction1) ).
fof(f20,plain,
! [X2,X0,X1] : true = ifeq(leq(addition(multiplication(X0,X1),X2),X1),true,leq(multiplication(star(X0),X2),X1),true),
inference(reorient_equations,[],[f19]) ).
fof(f21,axiom,
! [X2,X0,X1] : ifeq(leq(addition(multiplication(X0,X1),X2),X0),true,leq(multiplication(X2,star(X1)),X0),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_induction2) ).
fof(f22,plain,
! [X2,X0,X1] : true = ifeq(leq(addition(multiplication(X0,X1),X2),X0),true,leq(multiplication(X2,star(X1)),X0),true),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
! [X0] : strong_iteration(X0) = addition(multiplication(X0,strong_iteration(X0)),one),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infty_unfold1) ).
fof(f27,negated_conjecture,
! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X0,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_1) ).
fof(f28,axiom,
! [X0,X1] : ifeq3(addition(X0,X1),X1,leq(X0,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f29,plain,
! [X0,X1] : true = ifeq3(addition(X0,X1),X1,leq(X0,X1),true),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
tuple(leq(multiplication(star(sK1_goals_X1),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),strong_iteration(multiplication(star(sK2_goals_X0),sK1_goals_X1))),leq(strong_iteration(multiplication(star(sK4_goals_X0),sK3_goals_X1)),multiplication(star(sK3_goals_X1),strong_iteration(multiplication(star(sK4_goals_X0),sK3_goals_X1))))) != tuple(true,true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f31,definition,
sF0 = star(sK1_goals_X1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f32,plain,
star(sK1_goals_X1) = sF0,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF1 = star(sK2_goals_X0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f34,plain,
star(sK2_goals_X0) = sF1,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF2 = multiplication(sF1,sK1_goals_X1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f36,plain,
multiplication(sF1,sK1_goals_X1) = sF2,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF3 = strong_iteration(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f38,plain,
strong_iteration(sF2) = sF3,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF4 = multiplication(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f40,plain,
multiplication(sF0,sF3) = sF4,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF5 = leq(sF4,sF3),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f42,plain,
leq(sF4,sF3) = sF5,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF6 = star(sK4_goals_X0),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f44,plain,
star(sK4_goals_X0) = sF6,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF7 = multiplication(sF6,sK3_goals_X1),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f46,plain,
multiplication(sF6,sK3_goals_X1) = sF7,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF8 = strong_iteration(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f48,plain,
strong_iteration(sF7) = sF8,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF9 = star(sK3_goals_X1),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f50,plain,
star(sK3_goals_X1) = sF9,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF10 = multiplication(sF9,sF8),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f52,plain,
multiplication(sF9,sF8) = sF10,
inference(reorient_equations,[],[f51]) ).
fof(f53,definition,
sF11 = leq(sF8,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f54,plain,
leq(sF8,sF10) = sF11,
inference(reorient_equations,[],[f53]) ).
fof(f55,definition,
sF12 = tuple(sF5,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f56,plain,
tuple(sF5,sF11) = sF12,
inference(reorient_equations,[],[f55]) ).
fof(f57,definition,
sF13 = tuple(true,true),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f58,plain,
tuple(true,true) = sF13,
inference(reorient_equations,[],[f57]) ).
fof(f59,plain,
sF12 != sF13,
inference(definition_folding,[],[f30,f58,f56,f54,f52,f48,f46,f44,f50,f48,f46,f44,f42,f38,f36,f34,f40,f38,f36,f34,f32]) ).
fof(f60,plain,
! [X0] : strong_iteration(X0) = addition(one,multiplication(X0,strong_iteration(X0))),
inference(backward_demodulation,[],[f23,f4]) ).
fof(f67,plain,
sF3 = addition(one,multiplication(sF2,sF3)),
inference(superposition,[],[f60,f38]) ).
fof(f95,plain,
sF0 = addition(one,multiplication(sF0,sK1_goals_X1)),
inference(superposition,[],[f18,f32]) ).
fof(f100,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f11,f9]) ).
fof(f104,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f12,f10]) ).
fof(f132,plain,
multiplication(addition(one,sF0),sF3) = addition(sF3,sF4),
inference(superposition,[],[f104,f40]) ).
fof(f133,plain,
multiplication(addition(one,sF1),sK1_goals_X1) = addition(sK1_goals_X1,sF2),
inference(superposition,[],[f104,f36]) ).
fof(f135,plain,
multiplication(addition(one,sF9),sF8) = addition(sF8,sF10),
inference(superposition,[],[f104,f52]) ).
fof(f144,plain,
addition(sF8,sF10) = multiplication(addition(sF9,one),sF8),
inference(forward_demodulation,[],[f135,f4]) ).
fof(f146,plain,
multiplication(addition(one,sF1),sK1_goals_X1) = addition(sF2,sK1_goals_X1),
inference(forward_demodulation,[],[f133,f4]) ).
fof(f147,plain,
addition(sF3,sF4) = multiplication(addition(sF0,one),sF3),
inference(forward_demodulation,[],[f132,f4]) ).
fof(f150,plain,
addition(sF2,sK1_goals_X1) = multiplication(addition(sF1,one),sK1_goals_X1),
inference(forward_demodulation,[],[f146,f4]) ).
fof(f164,plain,
! [X2,X0,X1] : multiplication(addition(one,multiplication(X0,X1)),X2) = addition(X2,multiplication(X0,multiplication(X1,X2))),
inference(superposition,[],[f104,f8]) ).
fof(f187,plain,
! [X0,X1] : addition(one,addition(multiplication(X0,strong_iteration(X0)),X1)) = addition(strong_iteration(X0),X1),
inference(superposition,[],[f5,f60]) ).
fof(f212,plain,
! [X2,X0,X1] : true = ifeq(leq(multiplication(addition(X0,X1),X2),X2),true,leq(multiplication(star(X0),multiplication(X1,X2)),X2),true),
inference(superposition,[],[f20,f12]) ).
fof(f377,plain,
true = ifeq3(addition(sF8,sF10),sF10,sF11,true),
inference(superposition,[],[f29,f54]) ).
fof(f378,plain,
true = ifeq3(addition(sF4,sF3),sF3,sF5,true),
inference(superposition,[],[f29,f42]) ).
fof(f379,plain,
true = ifeq3(addition(sF3,sF4),sF3,sF5,true),
inference(forward_demodulation,[],[f378,f4]) ).
fof(f406,plain,
! [X0] : true = ifeq3(X0,X0,leq(X0,X0),true),
inference(superposition,[],[f29,f7]) ).
fof(f407,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f410,plain,
! [X0,X1] : true = ifeq(leq(multiplication(X0,X1),X0),true,leq(multiplication(multiplication(X0,X1),star(X1)),X0),true),
inference(superposition,[],[f22,f7]) ).
fof(f412,plain,
! [X0,X1] : true = ifeq(leq(multiplication(X0,X1),X1),true,leq(multiplication(star(X0),multiplication(X0,X1)),X1),true),
inference(superposition,[],[f20,f7]) ).
fof(f415,plain,
! [X0,X1] : true = ifeq(leq(multiplication(X0,X1),X0),true,leq(multiplication(X0,multiplication(X1,star(X1))),X0),true),
inference(forward_demodulation,[],[f410,f8]) ).
fof(f417,plain,
! [X0] : true = leq(X0,X0),
inference(forward_demodulation,[],[f406,f1]) ).
fof(f443,plain,
! [X0,X1] : ifeq2(leq(X1,X0),true,addition(X0,X1),X0) = X0,
inference(superposition,[],[f27,f4]) ).
fof(f612,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f407,f18]) ).
fof(f684,plain,
! [X0,X1] : addition(strong_iteration(X0),multiplication(X1,strong_iteration(X0))) = addition(one,multiplication(addition(X0,X1),strong_iteration(X0))),
inference(superposition,[],[f187,f12]) ).
fof(f695,plain,
! [X0,X1] : addition(one,multiplication(addition(X0,X1),strong_iteration(X0))) = multiplication(addition(one,X1),strong_iteration(X0)),
inference(forward_demodulation,[],[f684,f104]) ).
fof(f4750,plain,
sF0 = addition(one,sF0),
inference(superposition,[],[f612,f32]) ).
fof(f4751,plain,
sF1 = addition(one,sF1),
inference(superposition,[],[f612,f34]) ).
fof(f4753,plain,
sF9 = addition(one,sF9),
inference(superposition,[],[f612,f50]) ).
fof(f4782,plain,
sF9 = addition(sF9,one),
inference(forward_demodulation,[],[f4753,f4]) ).
fof(f4784,plain,
sF1 = addition(sF1,one),
inference(forward_demodulation,[],[f4751,f4]) ).
fof(f4785,plain,
sF0 = addition(sF0,one),
inference(forward_demodulation,[],[f4750,f4]) ).
fof(f4789,plain,
multiplication(sF9,sF8) = addition(sF8,sF10),
inference(backward_demodulation,[],[f144,f4782]) ).
fof(f4795,plain,
multiplication(sF1,sK1_goals_X1) = addition(sF2,sK1_goals_X1),
inference(backward_demodulation,[],[f150,f4784]) ).
fof(f4798,plain,
multiplication(sF0,sF3) = addition(sF3,sF4),
inference(backward_demodulation,[],[f147,f4785]) ).
fof(f4799,plain,
sF10 = addition(sF8,sF10),
inference(forward_demodulation,[],[f4789,f52]) ).
fof(f4803,plain,
sF2 = addition(sF2,sK1_goals_X1),
inference(forward_demodulation,[],[f4795,f36]) ).
fof(f4805,plain,
sF4 = addition(sF3,sF4),
inference(forward_demodulation,[],[f4798,f40]) ).
fof(f4808,plain,
true = ifeq3(sF10,sF10,sF11,true),
inference(backward_demodulation,[],[f377,f4799]) ).
fof(f4810,plain,
true = ifeq3(sF4,sF3,sF5,true),
inference(backward_demodulation,[],[f379,f4805]) ).
fof(f4811,plain,
true = sF11,
inference(forward_demodulation,[],[f4808,f1]) ).
fof(f4815,plain,
! [X0,X1] : ifeq2(leq(X0,X1),sF11,addition(X0,X1),X1) = X1,
inference(backward_demodulation,[],[f27,f4811]) ).
fof(f4817,plain,
sF13 = tuple(sF11,sF11),
inference(backward_demodulation,[],[f58,f4811]) ).
fof(f4828,plain,
! [X2,X0,X1] : sF11 = ifeq(leq(multiplication(addition(X0,X1),X2),X2),sF11,leq(multiplication(star(X0),multiplication(X1,X2)),X2),sF11),
inference(backward_demodulation,[],[f212,f4811]) ).
fof(f4888,plain,
! [X0,X1] : sF11 = ifeq(leq(multiplication(X0,X1),X1),sF11,leq(multiplication(star(X0),multiplication(X0,X1)),X1),sF11),
inference(backward_demodulation,[],[f412,f4811]) ).
fof(f4889,plain,
! [X0,X1] : sF11 = ifeq(leq(multiplication(X0,X1),X0),sF11,leq(multiplication(X0,multiplication(X1,star(X1))),X0),sF11),
inference(backward_demodulation,[],[f415,f4811]) ).
fof(f4890,plain,
! [X0] : sF11 = leq(X0,X0),
inference(backward_demodulation,[],[f417,f4811]) ).
fof(f4891,plain,
! [X0,X1] : ifeq2(leq(X1,X0),sF11,addition(X0,X1),X0) = X0,
inference(backward_demodulation,[],[f443,f4811]) ).
fof(f5805,plain,
sF11 = ifeq3(sF4,sF3,sF5,sF11),
inference(backward_demodulation,[],[f4810,f4811]) ).
fof(f5812,plain,
addition(one,multiplication(sF2,strong_iteration(sF2))) = multiplication(addition(one,sK1_goals_X1),strong_iteration(sF2)),
inference(superposition,[],[f695,f4803]) ).
fof(f5817,plain,
addition(one,multiplication(sF2,sF3)) = multiplication(addition(one,sK1_goals_X1),sF3),
inference(forward_demodulation,[],[f5812,f38]) ).
fof(f5820,plain,
sF3 = multiplication(addition(one,sK1_goals_X1),sF3),
inference(forward_demodulation,[],[f5817,f67]) ).
fof(f8889,plain,
! [X0] : sF11 = ifeq(leq(multiplication(X0,one),X0),sF11,leq(multiplication(X0,star(one)),X0),sF11),
inference(superposition,[],[f4889,f10]) ).
fof(f8905,plain,
! [X0] : sF11 = ifeq(leq(X0,X0),sF11,leq(multiplication(X0,star(one)),X0),sF11),
inference(forward_demodulation,[],[f8889,f9]) ).
fof(f8929,plain,
! [X0] : sF11 = ifeq(sF11,sF11,leq(multiplication(X0,star(one)),X0),sF11),
inference(forward_demodulation,[],[f8905,f4890]) ).
fof(f8938,plain,
! [X0] : sF11 = leq(multiplication(X0,star(one)),X0),
inference(forward_demodulation,[],[f8929,f3]) ).
fof(f13568,plain,
! [X0] : ifeq2(sF11,sF11,addition(multiplication(X0,star(one)),X0),X0) = X0,
inference(superposition,[],[f4815,f8938]) ).
fof(f13577,plain,
! [X0] : addition(multiplication(X0,star(one)),X0) = X0,
inference(forward_demodulation,[],[f13568,f2]) ).
fof(f13589,plain,
! [X0] : addition(X0,multiplication(X0,star(one))) = X0,
inference(forward_demodulation,[],[f13577,f4]) ).
fof(f13593,plain,
! [X0] : multiplication(X0,addition(one,star(one))) = X0,
inference(forward_demodulation,[],[f13589,f100]) ).
fof(f13595,plain,
! [X0] : multiplication(X0,star(one)) = X0,
inference(forward_demodulation,[],[f13593,f612]) ).
fof(f13694,plain,
one = star(one),
inference(superposition,[],[f10,f13595]) ).
fof(f15824,plain,
sF11 = ifeq(leq(sF3,sF3),sF11,leq(multiplication(star(one),multiplication(sK1_goals_X1,sF3)),sF3),sF11),
inference(superposition,[],[f4828,f5820]) ).
fof(f15878,plain,
sF11 = ifeq(leq(sF3,sF3),sF11,leq(multiplication(one,multiplication(sK1_goals_X1,sF3)),sF3),sF11),
inference(forward_demodulation,[],[f15824,f13694]) ).
fof(f15960,plain,
sF11 = ifeq(leq(sF3,sF3),sF11,leq(multiplication(sK1_goals_X1,sF3),sF3),sF11),
inference(forward_demodulation,[],[f15878,f10]) ).
fof(f16017,plain,
sF11 = ifeq(sF11,sF11,leq(multiplication(sK1_goals_X1,sF3),sF3),sF11),
inference(forward_demodulation,[],[f15960,f4890]) ).
fof(f16042,plain,
sF11 = leq(multiplication(sK1_goals_X1,sF3),sF3),
inference(forward_demodulation,[],[f16017,f3]) ).
fof(f16047,plain,
sF11 = ifeq(sF11,sF11,leq(multiplication(star(sK1_goals_X1),multiplication(sK1_goals_X1,sF3)),sF3),sF11),
inference(superposition,[],[f4888,f16042]) ).
fof(f16055,plain,
sF11 = leq(multiplication(star(sK1_goals_X1),multiplication(sK1_goals_X1,sF3)),sF3),
inference(forward_demodulation,[],[f16047,f3]) ).
fof(f16059,plain,
sF11 = leq(multiplication(sF0,multiplication(sK1_goals_X1,sF3)),sF3),
inference(forward_demodulation,[],[f16055,f32]) ).
fof(f29727,plain,
sF3 = ifeq2(sF11,sF11,addition(sF3,multiplication(sF0,multiplication(sK1_goals_X1,sF3))),sF3),
inference(superposition,[],[f4891,f16059]) ).
fof(f29735,plain,
sF3 = addition(sF3,multiplication(sF0,multiplication(sK1_goals_X1,sF3))),
inference(forward_demodulation,[],[f29727,f2]) ).
fof(f29741,plain,
sF3 = multiplication(addition(one,multiplication(sF0,sK1_goals_X1)),sF3),
inference(forward_demodulation,[],[f29735,f164]) ).
fof(f29747,plain,
sF3 = multiplication(sF0,sF3),
inference(forward_demodulation,[],[f29741,f95]) ).
fof(f29753,plain,
sF3 = sF4,
inference(backward_demodulation,[],[f40,f29747]) ).
fof(f29876,plain,
sF11 = ifeq3(sF3,sF3,sF5,sF11),
inference(backward_demodulation,[],[f5805,f29753]) ).
fof(f30650,plain,
sF5 = sF11,
inference(forward_demodulation,[],[f29876,f1]) ).
fof(f30738,plain,
sF12 = tuple(sF5,sF5),
inference(backward_demodulation,[],[f56,f30650]) ).
fof(f30745,plain,
sF13 = tuple(sF5,sF5),
inference(backward_demodulation,[],[f4817,f30650]) ).
fof(f33487,plain,
sF12 = sF13,
inference(backward_demodulation,[],[f30745,f30738]) ).
fof(f33521,plain,
$false,
inference(forward_subsumption_resolution,[],[f33487,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE147-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n019.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:12:49 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 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
% 47.46/8.65 % (3084299)Detected a unit-equality problem, will run specialized UEQ schedule.
% 47.46/8.65 % (3084405)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3366263655:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 47.46/8.65 % (3084407)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2208982912:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 47.46/8.65 % (3084409)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3157415244:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 47.46/8.65 % (3084410)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3125990551:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 47.46/8.65 % (3084406)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1520146008:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 47.46/8.65 % (3084411)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2574197098:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 47.46/8.65 % (3084408)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=939524772:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 47.46/8.65 % (3084409)Instruction limit reached!
% 47.46/8.65 % (3084409)------------------------------
% 47.46/8.65 % (3084409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/8.65 % (3084409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/8.65 % (3084409)CaDiCaL version: 2.1.3
% 47.46/8.65 % (3084409)Termination reason: Instruction limit
% 47.46/8.65 % (3084409)Termination phase: Saturation
% 47.46/8.65 % (3084409)Time elapsed: 0.112 s
% 47.46/8.65 % (3084409)Peak memory usage: 89 MB
% 47.46/8.66 % (3084409)Instructions burned: 181 (million)
% 47.46/8.66 % (3084408)Instruction limit reached!
% 47.46/8.66 % (3084408)------------------------------
% 47.46/8.66 % (3084408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/8.66 % (3084408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/8.66 % (3084408)CaDiCaL version: 2.1.3
% 47.46/8.66 % (3084408)Termination reason: Instruction limit
% 47.46/8.66 % (3084408)Termination phase: Saturation
% 47.46/8.66 % (3084408)Time elapsed: 0.093 s
% 47.46/8.66 % (3084408)Peak memory usage: 89 MB
% 47.46/8.66 % (3084408)Instructions burned: 136 (million)
% 47.46/8.66 % (3084410)Instruction limit reached!
% 47.46/8.66 % (3084410)------------------------------
% 47.46/8.66 % (3084410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/8.66 % (3084410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/8.66 % (3084410)CaDiCaL version: 2.1.3
% 47.46/8.66 % (3084410)Termination reason: Instruction limit
% 47.46/8.66 % (3084410)Termination phase: Saturation
% 47.46/8.66 % (3084410)Time elapsed: 0.231 s
% 47.46/8.66 % (3084410)Peak memory usage: 90 MB
% 47.46/8.66 % (3084410)Instructions burned: 257 (million)
% 47.46/8.66 % (3084440)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=558996473:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 47.46/8.66 % (3084447)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=365986609:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 47.46/8.66 % (3084452)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=200193258:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 47.46/8.66 % (3084452)Instruction limit reached!
% 47.46/8.66 % (3084452)------------------------------
% 47.46/8.66 % (3084452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/8.66 % (3084452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/8.66 % (3084452)CaDiCaL version: 2.1.3
% 47.46/8.66 % (3084452)Termination reason: Instruction limit
% 47.46/8.66 % (3084452)Termination phase: Saturation
% 47.46/8.66 % (3084452)Time elapsed: 0.182 s
% 47.46/8.66 % (3084452)Peak memory usage: 91 MB
% 47.46/8.66 % (3084452)Instructions burned: 216 (million)
% 47.46/8.66 % (3084466)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2269562868:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 47.46/8.66 % (3084411)Instruction limit reached!
% 47.46/8.66 % (3084411)------------------------------
% 47.46/8.66 % (3084411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/8.66 % (3084411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/8.66 % (3084411)CaDiCaL version: 2.1.3
% 47.46/8.66 % (3084411)Termination reason: Instruction limit
% 47.46/8.66 % (3084411)Termination phase: Saturation
% 47.46/8.66 % (3084411)Time elapsed: 1.001 s
% 47.46/8.66 % (3084411)Peak memory usage: 101 MB
% 47.46/8.66 % (3084411)Instructions burned: 1187 (million)
% 47.46/8.66 % (3084474)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1182683207:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2988 on theBenchmark for (2988ds/12125Mi)
% 47.46/8.66 % (3084466)Instruction limit reached!
% 47.46/8.66 % (3084466)------------------------------
% 47.46/8.66 % (3084466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/8.66 % (3084466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/8.66 % (3084466)CaDiCaL version: 2.1.3
% 47.46/8.66 % (3084466)Termination reason: Instruction limit
% 47.46/8.66 % (3084466)Termination phase: Saturation
% 47.46/8.66 % (3084466)Time elapsed: 0.345 s
% 47.46/8.66 % (3084466)Peak memory usage: 95 MB
% 47.46/8.66 % (3084466)Instructions burned: 317 (million)
% 47.46/8.66 % (3084478)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1573393632:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2985 on theBenchmark for (2985ds/2836Mi)
% 47.46/8.66 % (3084440)Instruction limit reached!
% 47.46/8.66 % (3084440)------------------------------
% 47.46/8.66 % (3084440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/8.66 % (3084440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/8.66 % (3084440)CaDiCaL version: 2.1.3
% 47.46/8.66 % (3084440)Termination reason: Instruction limit
% 47.46/8.66 % (3084440)Termination phase: Saturation
% 47.46/8.66 % (3084440)Time elapsed: 2.175 s
% 47.46/8.66 % (3084440)Peak memory usage: 142 MB
% 47.46/8.66 % (3084440)Instructions burned: 2052 (million)
% 47.46/8.66 % (3084488)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2994627408:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2972 on theBenchmark for (2972ds/14534Mi)
% 47.46/8.66 % (3084478)Instruction limit reached!
% 47.46/8.66 % (3084478)------------------------------
% 47.46/8.66 % (3084478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/8.66 % (3084478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/8.66 % (3084478)CaDiCaL version: 2.1.3
% 47.46/8.66 % (3084478)Termination reason: Instruction limit
% 47.46/8.66 % (3084478)Termination phase: Saturation
% 47.46/8.66 % (3084478)Time elapsed: 3.105 s
% 47.46/8.66 % (3084478)Peak memory usage: 145 MB
% 47.46/8.66 % (3084478)Instructions burned: 2836 (million)
% 47.46/8.66 % (3084494)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=2786887841:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2950 on theBenchmark for (2950ds/11832Mi)
% 47.46/8.66 % (3084447)Instruction limit reached!
% 47.46/8.66 % (3084447)------------------------------
% 47.46/8.66 % (3084447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.46/8.66 % (3084447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.46/8.66 % (3084447)CaDiCaL version: 2.1.3
% 47.46/8.66 % (3084447)Termination reason: Instruction limit
% 47.46/8.66 % (3084447)Termination phase: Saturation
% 47.46/8.66 % (3084447)Time elapsed: 5.101 s
% 47.46/8.66 % (3084447)Peak memory usage: 169 MB
% 47.46/8.66 % (3084447)Instructions burned: 4948 (million)
% 47.46/8.66 % (3084496)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=303102716:i=2279:fgj=on:bd=all_2943 on theBenchmark for (2943ds/2279Mi)
% 47.46/8.66 % (3084407)First to succeed.
% 47.46/8.66 % (3084407)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3084299"
% 47.46/8.66 % (3084407)Refutation found. Thanks to Tanya!
% 47.46/8.66 % SZS status Unsatisfiable for theBenchmark
% 47.46/8.66 % SZS output start Proof for theBenchmark
% See solution above
% 55.83/8.94 % (3084407)------------------------------
% 55.83/8.94 % (3084407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.83/8.94 % (3084407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.83/8.94 % (3084407)CaDiCaL version: 2.1.3
% 55.83/8.94 % (3084407)Termination reason: Refutation
% 55.83/8.94 % (3084407)Time elapsed: 7.156 s
% 55.83/8.94 % (3084407)Peak memory usage: 182 MB
% 55.83/8.94 % (3084407)Instructions burned: 6870 (million)
% 55.83/8.94 % (3084407)------------------------------
% 55.83/8.94 % (3084407)------------------------------
% 55.83/8.94 % (3084299)Success in time 7.77 s
% 55.83/8.94 % Vampire exiting
%------------------------------------------------------------------------------