%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE044-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 11:40:11 AM UTC 2026
% Result : Unsatisfiable 13.03s 5.92s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 28
% Syntax : Number of formulae : 148 ( 148 unt; 10 def)
% Number of atoms : 148 ( 147 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 : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 14 con; 0-4 aty)
% Number of variables : 111 ( 111 !; 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',additive_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',right_distributivity) ).
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',left_distributivity) ).
fof(f17,negated_conjecture,
! [X0,X1] : ifeq2(leq(X0,X1),true,addition(X0,X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order_1) ).
fof(f18,axiom,
! [X0,X1] : ifeq3(addition(X0,X1),X1,leq(X0,X1),true) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order) ).
fof(f19,plain,
! [X0,X1] : true = ifeq3(addition(X0,X1),X1,leq(X0,X1),true),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
! [X0] : leq(addition(one,multiplication(X0,star(X0))),star(X0)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_right) ).
fof(f21,plain,
! [X0] : true = leq(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(reorient_equations,[],[f20]) ).
fof(f22,axiom,
! [X0] : leq(addition(one,multiplication(star(X0),X0)),star(X0)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',star_unfold_left) ).
fof(f23,plain,
! [X0] : true = leq(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(reorient_equations,[],[f22]) ).
fof(f24,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_induction_left) ).
fof(f25,plain,
! [X2,X0,X1] : true = ifeq(leq(addition(multiplication(X0,X1),X2),X1),true,leq(multiplication(star(X0),X2),X1),true),
inference(reorient_equations,[],[f24]) ).
fof(f26,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_induction_right) ).
fof(f27,plain,
! [X2,X0,X1] : true = ifeq(leq(addition(multiplication(X0,X1),X2),X0),true,leq(multiplication(X2,star(X1)),X0),true),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
tuple(leq(star(addition(one,sK2_goals_X0)),star(sK2_goals_X0)),leq(star(sK1_goals_X0),star(addition(one,sK1_goals_X0)))) != tuple(true,true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f29,definition,
sF0 = addition(one,sK2_goals_X0),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f30,plain,
addition(one,sK2_goals_X0) = sF0,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF1 = star(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f32,plain,
star(sF0) = sF1,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF2 = star(sK2_goals_X0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f34,plain,
star(sK2_goals_X0) = sF2,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF3 = leq(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f36,plain,
leq(sF1,sF2) = sF3,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF4 = star(sK1_goals_X0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f38,plain,
star(sK1_goals_X0) = sF4,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF5 = addition(one,sK1_goals_X0),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f40,plain,
addition(one,sK1_goals_X0) = sF5,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF6 = star(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f42,plain,
star(sF5) = sF6,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF7 = leq(sF4,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f44,plain,
leq(sF4,sF6) = sF7,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF8 = tuple(sF3,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f46,plain,
tuple(sF3,sF7) = sF8,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF9 = tuple(true,true),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f48,plain,
tuple(true,true) = sF9,
inference(reorient_equations,[],[f47]) ).
fof(f49,plain,
sF8 != sF9,
inference(definition_folding,[],[f28,f48,f46,f44,f42,f40,f38,f36,f34,f32,f30]) ).
fof(f54,plain,
! [X0,X1] : multiplication(X0,addition(one,X1)) = addition(X0,multiplication(X0,X1)),
inference(superposition,[],[f11,f9]) ).
fof(f76,plain,
! [X0] : addition(one,addition(sK2_goals_X0,X0)) = addition(sF0,X0),
inference(superposition,[],[f5,f30]) ).
fof(f82,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f4,f5]) ).
fof(f87,plain,
! [X0,X1] : multiplication(addition(one,X1),X0) = addition(X0,multiplication(X1,X0)),
inference(superposition,[],[f12,f10]) ).
fof(f90,plain,
! [X0,X1] : multiplication(addition(X1,one),X0) = addition(multiplication(X1,X0),X0),
inference(superposition,[],[f12,f10]) ).
fof(f102,plain,
! [X0,X1] : addition(X0,multiplication(X1,X0)) = multiplication(addition(X1,one),X0),
inference(forward_demodulation,[],[f90,f4]) ).
fof(f128,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f140,plain,
! [X0] : true = ifeq3(X0,X0,leq(X0,X0),true),
inference(superposition,[],[f19,f7]) ).
fof(f147,plain,
true = ifeq3(addition(sF1,sF2),sF2,sF3,true),
inference(superposition,[],[f19,f36]) ).
fof(f150,plain,
! [X0] : true = leq(X0,X0),
inference(forward_demodulation,[],[f140,f1]) ).
fof(f217,plain,
! [X0] : star(X0) = ifeq2(true,true,addition(addition(one,multiplication(star(X0),X0)),star(X0)),star(X0)),
inference(superposition,[],[f17,f23]) ).
fof(f222,plain,
! [X0,X1] : ifeq2(leq(X1,X0),true,addition(X0,X1),X0) = X0,
inference(superposition,[],[f17,f4]) ).
fof(f231,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(star(X0),X0)),star(X0)),
inference(forward_demodulation,[],[f217,f2]) ).
fof(f233,plain,
! [X0] : star(X0) = addition(star(X0),addition(one,multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f231,f4]) ).
fof(f234,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(star(X0),X0),star(X0))),
inference(forward_demodulation,[],[f233,f82]) ).
fof(f235,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(star(X0),X0))),
inference(forward_demodulation,[],[f234,f4]) ).
fof(f236,plain,
! [X0] : star(X0) = addition(one,multiplication(star(X0),addition(one,X0))),
inference(forward_demodulation,[],[f235,f54]) ).
fof(f240,plain,
sF1 = addition(one,multiplication(sF1,addition(one,sF0))),
inference(superposition,[],[f236,f32]) ).
fof(f241,plain,
sF6 = addition(one,multiplication(sF6,addition(one,sF5))),
inference(superposition,[],[f236,f42]) ).
fof(f258,plain,
sF6 = addition(one,addition(sF6,multiplication(sF6,sF5))),
inference(forward_demodulation,[],[f241,f54]) ).
fof(f259,plain,
sF1 = addition(one,addition(sF1,multiplication(sF1,sF0))),
inference(forward_demodulation,[],[f240,f54]) ).
fof(f263,plain,
sF6 = addition(sF6,addition(multiplication(sF6,sF5),one)),
inference(forward_demodulation,[],[f258,f82]) ).
fof(f264,plain,
sF1 = addition(sF1,addition(multiplication(sF1,sF0),one)),
inference(forward_demodulation,[],[f259,f82]) ).
fof(f267,plain,
sF6 = addition(sF6,addition(one,multiplication(sF6,sF5))),
inference(forward_demodulation,[],[f263,f4]) ).
fof(f268,plain,
sF1 = addition(sF1,addition(one,multiplication(sF1,sF0))),
inference(forward_demodulation,[],[f264,f4]) ).
fof(f279,plain,
! [X0,X1] : true = ifeq(leq(multiplication(X0,X1),X1),true,leq(multiplication(star(X0),multiplication(X0,X1)),X1),true),
inference(superposition,[],[f25,f7]) ).
fof(f304,plain,
! [X2,X0,X1] : true = ifeq(leq(multiplication(X0,addition(X1,X2)),X0),true,leq(multiplication(multiplication(X0,X2),star(X1)),X0),true),
inference(superposition,[],[f27,f11]) ).
fof(f326,plain,
! [X2,X0,X1] : true = ifeq(leq(multiplication(X0,addition(X1,X2)),X0),true,leq(multiplication(X0,multiplication(X2,star(X1))),X0),true),
inference(forward_demodulation,[],[f304,f8]) ).
fof(f372,plain,
! [X0] : multiplication(X0,sF0) = addition(X0,multiplication(X0,sK2_goals_X0)),
inference(superposition,[],[f54,f30]) ).
fof(f373,plain,
! [X0] : multiplication(X0,sF5) = addition(X0,multiplication(X0,sK1_goals_X0)),
inference(superposition,[],[f54,f40]) ).
fof(f451,plain,
! [X0] : star(X0) = addition(one,star(X0)),
inference(superposition,[],[f128,f236]) ).
fof(f481,plain,
sF2 = addition(one,sF2),
inference(superposition,[],[f451,f34]) ).
fof(f483,plain,
sF1 = addition(one,sF1),
inference(superposition,[],[f451,f32]) ).
fof(f484,plain,
sF6 = addition(one,sF6),
inference(superposition,[],[f451,f42]) ).
fof(f491,plain,
! [X0,X1] : addition(star(X0),X1) = addition(one,addition(star(X0),X1)),
inference(superposition,[],[f5,f451]) ).
fof(f493,plain,
sF6 = addition(sF6,one),
inference(forward_demodulation,[],[f484,f4]) ).
fof(f494,plain,
sF1 = addition(sF1,one),
inference(forward_demodulation,[],[f483,f4]) ).
fof(f496,plain,
sF2 = addition(sF2,one),
inference(forward_demodulation,[],[f481,f4]) ).
fof(f513,plain,
! [X0] : star(X0) = ifeq2(true,true,addition(addition(one,multiplication(X0,star(X0))),star(X0)),star(X0)),
inference(superposition,[],[f17,f21]) ).
fof(f516,plain,
! [X0] : star(X0) = addition(addition(one,multiplication(X0,star(X0))),star(X0)),
inference(forward_demodulation,[],[f513,f2]) ).
fof(f520,plain,
! [X0] : star(X0) = addition(one,addition(multiplication(X0,star(X0)),star(X0))),
inference(forward_demodulation,[],[f516,f5]) ).
fof(f522,plain,
! [X0] : star(X0) = addition(one,addition(star(X0),multiplication(X0,star(X0)))),
inference(forward_demodulation,[],[f520,f4]) ).
fof(f524,plain,
! [X0] : star(X0) = addition(star(X0),multiplication(X0,star(X0))),
inference(forward_demodulation,[],[f522,f491]) ).
fof(f525,plain,
! [X0] : star(X0) = multiplication(addition(one,X0),star(X0)),
inference(forward_demodulation,[],[f524,f87]) ).
fof(f531,plain,
star(sK2_goals_X0) = multiplication(sF0,star(sK2_goals_X0)),
inference(superposition,[],[f525,f30]) ).
fof(f532,plain,
star(sK1_goals_X0) = multiplication(sF5,star(sK1_goals_X0)),
inference(superposition,[],[f525,f40]) ).
fof(f535,plain,
! [X0] : star(X0) = multiplication(addition(X0,one),star(X0)),
inference(superposition,[],[f525,f4]) ).
fof(f562,plain,
sF4 = multiplication(sF5,sF4),
inference(forward_demodulation,[],[f532,f38]) ).
fof(f563,plain,
sF2 = multiplication(sF0,sF2),
inference(forward_demodulation,[],[f531,f34]) ).
fof(f595,plain,
! [X0] : addition(sF1,addition(one,X0)) = addition(sF1,X0),
inference(superposition,[],[f5,f494]) ).
fof(f596,plain,
sF1 = addition(sF1,multiplication(sF1,sF0)),
inference(backward_demodulation,[],[f268,f595]) ).
fof(f600,plain,
! [X0] : addition(sF6,addition(one,X0)) = addition(sF6,X0),
inference(superposition,[],[f5,f493]) ).
fof(f601,plain,
sF6 = addition(sF6,multiplication(sF6,sF5)),
inference(backward_demodulation,[],[f267,f600]) ).
fof(f1160,plain,
! [X0] : multiplication(addition(X0,one),addition(one,star(X0))) = addition(addition(X0,one),star(X0)),
inference(superposition,[],[f54,f535]) ).
fof(f1163,plain,
! [X0] : multiplication(addition(X0,one),addition(one,star(X0))) = addition(X0,addition(one,star(X0))),
inference(forward_demodulation,[],[f1160,f5]) ).
fof(f1173,plain,
! [X0] : multiplication(addition(X0,one),star(X0)) = addition(X0,star(X0)),
inference(forward_demodulation,[],[f1163,f451]) ).
fof(f1180,plain,
! [X0] : star(X0) = addition(X0,star(X0)),
inference(forward_demodulation,[],[f1173,f535]) ).
fof(f1468,plain,
! [X0] : multiplication(X0,sF0) = addition(X0,multiplication(X0,sF0)),
inference(superposition,[],[f128,f372]) ).
fof(f1494,plain,
sF1 = multiplication(sF1,sF0),
inference(backward_demodulation,[],[f596,f1468]) ).
fof(f1556,plain,
! [X0] : multiplication(sF1,addition(sF0,X0)) = addition(sF1,multiplication(sF1,X0)),
inference(superposition,[],[f11,f1494]) ).
fof(f1669,plain,
addition(one,star(sK2_goals_X0)) = addition(sF0,star(sK2_goals_X0)),
inference(superposition,[],[f76,f1180]) ).
fof(f1672,plain,
addition(one,sF2) = addition(sF0,sF2),
inference(forward_demodulation,[],[f1669,f34]) ).
fof(f1679,plain,
addition(sF2,one) = addition(sF0,sF2),
inference(forward_demodulation,[],[f1672,f4]) ).
fof(f1681,plain,
sF2 = addition(sF0,sF2),
inference(forward_demodulation,[],[f1679,f496]) ).
fof(f1806,plain,
! [X0] : multiplication(X0,sF5) = addition(X0,multiplication(X0,sF5)),
inference(superposition,[],[f128,f373]) ).
fof(f1832,plain,
sF6 = multiplication(sF6,sF5),
inference(backward_demodulation,[],[f601,f1806]) ).
fof(f1893,plain,
! [X0] : multiplication(sF6,X0) = multiplication(sF6,multiplication(sF5,X0)),
inference(superposition,[],[f8,f1832]) ).
fof(f1895,plain,
! [X0] : multiplication(sF6,addition(X0,sF5)) = addition(multiplication(sF6,X0),sF6),
inference(superposition,[],[f11,f1832]) ).
fof(f1905,plain,
! [X0] : addition(sF6,multiplication(sF6,X0)) = multiplication(sF6,addition(X0,sF5)),
inference(forward_demodulation,[],[f1895,f4]) ).
fof(f1995,plain,
! [X0,X1] : true = ifeq(leq(multiplication(X0,addition(sK1_goals_X0,X1)),X0),true,leq(multiplication(X0,multiplication(X1,sF4)),X0),true),
inference(superposition,[],[f326,f38]) ).
fof(f3061,plain,
multiplication(sF1,sF2) = addition(sF1,multiplication(sF1,sF2)),
inference(superposition,[],[f1556,f1681]) ).
fof(f3467,plain,
true = ifeq(leq(sF2,sF2),true,leq(multiplication(star(sF0),sF2),sF2),true),
inference(superposition,[],[f279,f563]) ).
fof(f3479,plain,
true = ifeq(leq(sF4,sF4),true,leq(multiplication(star(sF5),sF4),sF4),true),
inference(superposition,[],[f279,f562]) ).
fof(f3486,plain,
true = ifeq(leq(sF4,sF4),true,leq(multiplication(sF6,sF4),sF4),true),
inference(forward_demodulation,[],[f3479,f42]) ).
fof(f3490,plain,
true = ifeq(leq(sF2,sF2),true,leq(multiplication(sF1,sF2),sF2),true),
inference(forward_demodulation,[],[f3467,f32]) ).
fof(f3503,plain,
true = ifeq(true,true,leq(multiplication(sF6,sF4),sF4),true),
inference(forward_demodulation,[],[f3486,f150]) ).
fof(f3507,plain,
true = ifeq(true,true,leq(multiplication(sF1,sF2),sF2),true),
inference(forward_demodulation,[],[f3490,f150]) ).
fof(f3517,plain,
true = leq(multiplication(sF6,sF4),sF4),
inference(forward_demodulation,[],[f3503,f3]) ).
fof(f3519,plain,
true = leq(multiplication(sF1,sF2),sF2),
inference(forward_demodulation,[],[f3507,f3]) ).
fof(f3527,plain,
sF2 = ifeq2(true,true,addition(sF2,multiplication(sF1,sF2)),sF2),
inference(superposition,[],[f222,f3519]) ).
fof(f3532,plain,
sF2 = addition(sF2,multiplication(sF1,sF2)),
inference(forward_demodulation,[],[f3527,f2]) ).
fof(f3570,plain,
sF4 = ifeq2(true,true,addition(sF4,multiplication(sF6,sF4)),sF4),
inference(superposition,[],[f222,f3517]) ).
fof(f3575,plain,
sF4 = addition(sF4,multiplication(sF6,sF4)),
inference(forward_demodulation,[],[f3570,f2]) ).
fof(f4359,plain,
! [X0] : multiplication(sF1,X0) = addition(X0,multiplication(sF1,X0)),
inference(superposition,[],[f102,f494]) ).
fof(f4363,plain,
! [X0] : multiplication(sF6,X0) = addition(X0,multiplication(sF6,X0)),
inference(superposition,[],[f102,f493]) ).
fof(f4436,plain,
sF4 = multiplication(sF6,sF4),
inference(backward_demodulation,[],[f3575,f4363]) ).
fof(f4437,plain,
sF2 = multiplication(sF1,sF2),
inference(backward_demodulation,[],[f3532,f4359]) ).
fof(f4490,plain,
sF2 = addition(sF1,sF2),
inference(backward_demodulation,[],[f3061,f4437]) ).
fof(f4538,plain,
true = ifeq3(sF2,sF2,sF3,true),
inference(backward_demodulation,[],[f147,f4490]) ).
fof(f4564,plain,
true = sF3,
inference(forward_demodulation,[],[f4538,f1]) ).
fof(f4586,plain,
sF9 = tuple(sF3,sF3),
inference(backward_demodulation,[],[f48,f4564]) ).
fof(f4596,plain,
! [X0] : sF3 = leq(X0,X0),
inference(backward_demodulation,[],[f150,f4564]) ).
fof(f4854,plain,
! [X0,X1] : sF3 = ifeq(leq(multiplication(X0,addition(sK1_goals_X0,X1)),X0),sF3,leq(multiplication(X0,multiplication(X1,sF4)),X0),sF3),
inference(backward_demodulation,[],[f1995,f4564]) ).
fof(f16494,plain,
sF3 = ifeq(leq(multiplication(sF6,addition(sK1_goals_X0,sF5)),sF6),sF3,leq(multiplication(sF6,sF4),sF6),sF3),
inference(superposition,[],[f4854,f1893]) ).
fof(f16498,plain,
sF3 = ifeq(leq(multiplication(sF6,addition(sK1_goals_X0,sF5)),sF6),sF3,leq(sF4,sF6),sF3),
inference(forward_demodulation,[],[f16494,f4436]) ).
fof(f16551,plain,
sF3 = ifeq(leq(multiplication(sF6,addition(sK1_goals_X0,sF5)),sF6),sF3,sF7,sF3),
inference(forward_demodulation,[],[f16498,f44]) ).
fof(f16565,plain,
sF3 = ifeq(leq(addition(sF6,multiplication(sF6,sK1_goals_X0)),sF6),sF3,sF7,sF3),
inference(forward_demodulation,[],[f16551,f1905]) ).
fof(f16568,plain,
sF3 = ifeq(leq(multiplication(sF6,sF5),sF6),sF3,sF7,sF3),
inference(forward_demodulation,[],[f16565,f373]) ).
fof(f16569,plain,
sF3 = ifeq(leq(sF6,sF6),sF3,sF7,sF3),
inference(forward_demodulation,[],[f16568,f1832]) ).
fof(f16570,plain,
sF3 = ifeq(sF3,sF3,sF7,sF3),
inference(forward_demodulation,[],[f16569,f4596]) ).
fof(f16571,plain,
sF3 = sF7,
inference(forward_demodulation,[],[f16570,f3]) ).
fof(f16573,plain,
sF8 = tuple(sF3,sF3),
inference(backward_demodulation,[],[f46,f16571]) ).
fof(f16583,plain,
sF8 = sF9,
inference(backward_demodulation,[],[f4586,f16573]) ).
fof(f17170,plain,
$false,
inference(forward_subsumption_resolution,[],[f16583,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE044-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n015.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 13:10:15 UTC 2026
% 0.04/0.40 % CPUTime :
% 0.04/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.46 Running first-order theorem proving
% 0.04/0.46 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
% 13.03/5.92 % (1655128)Detected a unit-equality problem, will run specialized UEQ schedule.
% 13.03/5.92 % (1655139)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1098271505:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 13.03/5.92 % (1655133)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=660205400:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 13.03/5.92 % (1655134)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=3495245847:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 13.03/5.92 % (1655135)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1538610372:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 13.03/5.92 % (1655136)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4143840372:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 13.03/5.92 % (1655137)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1456890041:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 13.03/5.92 % (1655138)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1999508711:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 13.03/5.92 % (1655136)Instruction limit reached!
% 13.03/5.92 % (1655136)------------------------------
% 13.03/5.92 % (1655136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/5.92 % (1655136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/5.92 % (1655136)CaDiCaL version: 2.1.3
% 13.03/5.92 % (1655136)Termination reason: Instruction limit
% 13.03/5.92 % (1655136)Termination phase: Saturation
% 13.03/5.92 % (1655136)Time elapsed: 0.139 s
% 13.03/5.92 % (1655136)Peak memory usage: 88 MB
% 13.03/5.92 % (1655136)Instructions burned: 136 (million)
% 13.03/5.92 % (1655137)Instruction limit reached!
% 13.03/5.92 % (1655137)------------------------------
% 13.03/5.92 % (1655137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/5.92 % (1655137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/5.92 % (1655137)CaDiCaL version: 2.1.3
% 13.03/5.92 % (1655137)Termination reason: Instruction limit
% 13.03/5.92 % (1655137)Termination phase: Saturation
% 13.03/5.92 % (1655137)Time elapsed: 0.179 s
% 13.03/5.92 % (1655137)Peak memory usage: 90 MB
% 13.03/5.92 % (1655137)Instructions burned: 182 (million)
% 13.03/5.92 % (1655138)Instruction limit reached!
% 13.03/5.92 % (1655138)------------------------------
% 13.03/5.92 % (1655138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/5.92 % (1655138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/5.92 % (1655138)CaDiCaL version: 2.1.3
% 13.03/5.92 % (1655138)Termination reason: Instruction limit
% 13.03/5.92 % (1655138)Termination phase: Saturation
% 13.03/5.92 % (1655138)Time elapsed: 0.250 s
% 13.03/5.92 % (1655138)Peak memory usage: 89 MB
% 13.03/5.92 % (1655138)Instructions burned: 257 (million)
% 13.03/5.92 % (1655147)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=685182326:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 13.03/5.92 % (1655148)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2704170952:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 13.03/5.92 % (1655149)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3698810351:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 13.03/5.92 % (1655139)Instruction limit reached!
% 13.03/5.92 % (1655139)------------------------------
% 13.03/5.92 % (1655139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/5.92 % (1655139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/5.92 % (1655139)CaDiCaL version: 2.1.3
% 13.03/5.92 % (1655139)Termination reason: Instruction limit
% 13.03/5.92 % (1655139)Termination phase: Saturation
% 13.03/5.92 % (1655139)Time elapsed: 0.585 s
% 13.03/5.92 % (1655139)Peak memory usage: 98 MB
% 13.03/5.92 % (1655139)Instructions burned: 1188 (million)
% 13.03/5.92 % (1655149)Instruction limit reached!
% 13.03/5.92 % (1655149)------------------------------
% 13.03/5.92 % (1655149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/5.92 % (1655149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/5.92 % (1655149)CaDiCaL version: 2.1.3
% 13.03/5.92 % (1655149)Termination reason: Instruction limit
% 13.03/5.92 % (1655149)Termination phase: Saturation
% 13.03/5.92 % (1655149)Time elapsed: 0.198 s
% 13.03/5.92 % (1655149)Peak memory usage: 91 MB
% 13.03/5.92 % (1655149)Instructions burned: 216 (million)
% 13.03/5.92 % (1655153)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=2224464621:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 13.03/5.92 % (1655153)Instruction limit reached!
% 13.03/5.92 % (1655153)------------------------------
% 13.03/5.92 % (1655153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/5.92 % (1655153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/5.92 % (1655153)CaDiCaL version: 2.1.3
% 13.03/5.92 % (1655153)Termination reason: Instruction limit
% 13.03/5.92 % (1655153)Termination phase: Saturation
% 13.03/5.92 % (1655153)Time elapsed: 0.170 s
% 13.03/5.92 % (1655153)Peak memory usage: 93 MB
% 13.03/5.92 % (1655153)Instructions burned: 317 (million)
% 13.03/5.92 % (1655154)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=994828069:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/12125Mi)
% 13.03/5.92 % (1655156)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1626922696:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2988 on theBenchmark for (2988ds/2836Mi)
% 13.03/5.92 % (1655147)Instruction limit reached!
% 13.03/5.92 % (1655147)------------------------------
% 13.03/5.92 % (1655147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/5.92 % (1655147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/5.92 % (1655147)CaDiCaL version: 2.1.3
% 13.03/5.92 % (1655147)Termination reason: Instruction limit
% 13.03/5.92 % (1655147)Termination phase: Saturation
% 13.03/5.92 % (1655147)Time elapsed: 2.225 s
% 13.03/5.92 % (1655147)Peak memory usage: 142 MB
% 13.03/5.92 % (1655147)Instructions burned: 2051 (million)
% 13.03/5.92 % (1655159)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=333879001:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2971 on theBenchmark for (2971ds/14534Mi)
% 13.03/5.92 % (1655156)Instruction limit reached!
% 13.03/5.92 % (1655156)------------------------------
% 13.03/5.92 % (1655156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.03/5.92 % (1655156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.03/5.92 % (1655156)CaDiCaL version: 2.1.3
% 13.03/5.92 % (1655156)Termination reason: Instruction limit
% 13.03/5.92 % (1655156)Termination phase: Saturation
% 13.03/5.92 % (1655156)Time elapsed: 1.752 s
% 13.03/5.92 % (1655156)Peak memory usage: 130 MB
% 13.03/5.92 % (1655156)Instructions burned: 2837 (million)
% 13.03/5.92 % (1655161)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=242666532:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2968 on theBenchmark for (2968ds/11832Mi)
% 13.03/5.92 % (1655135)First to succeed.
% 13.03/5.92 % (1655135)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1655128"
% 13.03/5.92 % (1655159)Also succeeded, but the first one will report.
% 13.03/5.92 % (1655135)Refutation found. Thanks to Tanya!
% 13.03/5.92 % SZS status Unsatisfiable for theBenchmark
% 13.03/5.92 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/6.31 % (1655135)------------------------------
% 0.22/6.31 % (1655135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.22/6.31 % (1655135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/6.31 % (1655135)CaDiCaL version: 2.1.3
% 0.22/6.31 % (1655135)Termination reason: Refutation
% 0.22/6.31 % (1655135)Time elapsed: 4.003 s
% 0.22/6.31 % (1655135)Peak memory usage: 156 MB
% 0.22/6.31 % (1655135)Instructions burned: 3751 (million)
% 0.22/6.31 % (1655135)------------------------------
% 0.22/6.31 % (1655135)------------------------------
% 0.22/6.31 % (1655128)Success in time 4.696 s
% 0.22/6.31 % Vampire exiting
%------------------------------------------------------------------------------