%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KLE011+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 11:40:37 AM UTC 2026
% Result : Theorem 5.91s 1.36s
% Output : Refutation 5.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 24
% Syntax : Number of formulae : 181 ( 144 unt; 9 def)
% Number of atoms : 258 ( 183 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 133 ( 56 ~; 50 |; 20 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 184 ( 177 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
fof(f10,axiom,
! [X0] : multiplication(X0,zero) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',right_annihilation) ).
fof(f11,axiom,
! [X0] : multiplication(zero,X0) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
fof(f13,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
fof(f17,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> one = addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1))) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f21,plain,
? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f22,plain,
? [X0,X1] :
( one != addition(addition(multiplication(addition(X1,c(X1)),X0),multiplication(addition(X0,c(X0)),X1)),multiplication(c(X0),c(X1)))
& test(X1)
& test(X0) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f27,plain,
! [X0,X1] :
( ( complement(X1,X0)
| zero != multiplication(X0,X1)
| zero != multiplication(X1,X0)
| addition(X0,X1) != one )
& ( ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f29,plain,
( one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2)))
& test(sK2)
& test(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f22]) ).
fof(f30,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f31,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f33,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f34,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f35,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f37,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f38,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f39,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f40,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f41,plain,
! [X0] :
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f42,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| test(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f43,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f27]) ).
fof(f44,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f45,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f46,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| zero != multiplication(X0,X1)
| complement(X1,X0)
| addition(X0,X1) != one ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f48,plain,
! [X0,X1] :
( ~ complement(X0,X1)
| c(X0) = X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f50,plain,
test(sK1),
inference(cnf_transformation,[],[f29]) ).
fof(f51,plain,
test(sK2),
inference(cnf_transformation,[],[f29]) ).
fof(f52,plain,
one != addition(addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(addition(sK1,c(sK1)),sK2)),multiplication(c(sK1),c(sK2))),
inference(cnf_transformation,[],[f29]) ).
fof(f53,plain,
! [X0] :
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(equality_resolution,[],[f47]) ).
fof(f54,definition,
sF3 = c(sK2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f55,plain,
c(sK2) = sF3,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF4 = addition(sK2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f57,plain,
addition(sK2,sF3) = sF4,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF5 = multiplication(sF4,sK1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f59,plain,
multiplication(sF4,sK1) = sF5,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF6 = c(sK1),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f61,plain,
c(sK1) = sF6,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF7 = addition(sK1,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f63,plain,
addition(sK1,sF6) = sF7,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF8 = multiplication(sF7,sK2),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f65,plain,
multiplication(sF7,sK2) = sF8,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF9 = addition(sF5,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f67,plain,
addition(sF5,sF8) = sF9,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF10 = multiplication(sF6,sF3),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f69,plain,
multiplication(sF6,sF3) = sF10,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF11 = addition(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f71,plain,
addition(sF9,sF10) = sF11,
inference(reorient_equations,[],[f70]) ).
fof(f72,plain,
one != sF11,
inference(definition_folding,[],[f52,f71,f69,f55,f61,f67,f65,f63,f61,f59,f57,f55]) ).
fof(f73,plain,
sF4 = addition(sF3,sK2),
inference(forward_demodulation,[],[f57,f30]) ).
fof(f74,plain,
sF7 = addition(sF6,sK1),
inference(forward_demodulation,[],[f63,f30]) ).
fof(f80,plain,
complement(sK1,c(sK1)),
inference(resolution,[],[f53,f50]) ).
fof(f81,plain,
complement(sK2,c(sK2)),
inference(resolution,[],[f53,f51]) ).
fof(f83,plain,
complement(sK2,sF3),
inference(forward_demodulation,[],[f81,f55]) ).
fof(f84,plain,
complement(sK1,sF6),
inference(forward_demodulation,[],[f80,f61]) ).
fof(f85,plain,
test(sF3),
inference(resolution,[],[f83,f42]) ).
fof(f91,plain,
complement(sK0(sF3),sF3),
inference(resolution,[],[f85,f41]) ).
fof(f94,plain,
one = addition(sF3,sK2),
inference(resolution,[],[f43,f83]) ).
fof(f95,plain,
one = sF4,
inference(forward_demodulation,[],[f94,f73]) ).
fof(f96,plain,
one = addition(sF6,sK1),
inference(resolution,[],[f84,f43]) ).
fof(f98,plain,
one = sF7,
inference(forward_demodulation,[],[f96,f74]) ).
fof(f99,plain,
sF4 = sF7,
inference(forward_demodulation,[],[f98,f95]) ).
fof(f102,plain,
zero = multiplication(sK2,sF3),
inference(resolution,[],[f44,f83]) ).
fof(f108,plain,
zero = multiplication(sF3,sK2),
inference(resolution,[],[f45,f83]) ).
fof(f110,plain,
! [X0] : multiplication(sF4,X0) = X0,
inference(superposition,[],[f36,f95]) ).
fof(f111,plain,
! [X0] : multiplication(X0,sF4) = X0,
inference(superposition,[],[f35,f95]) ).
fof(f134,plain,
sF8 = multiplication(sF4,sK2),
inference(superposition,[],[f65,f99]) ).
fof(f135,plain,
sK2 = sF8,
inference(forward_demodulation,[],[f134,f110]) ).
fof(f137,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(X0,X1)),
inference(superposition,[],[f31,f33]) ).
fof(f139,plain,
! [X2,X0,X1] : addition(addition(X0,X1),X2) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f31,f30]) ).
fof(f152,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X2,addition(X0,X1)),
inference(superposition,[],[f30,f31]) ).
fof(f164,plain,
! [X0] : multiplication(sF4,multiplication(sK1,X0)) = multiplication(sF5,X0),
inference(superposition,[],[f34,f59]) ).
fof(f165,plain,
! [X0] : multiplication(sF6,multiplication(sF3,X0)) = multiplication(sF10,X0),
inference(superposition,[],[f34,f69]) ).
fof(f174,plain,
! [X0] : multiplication(sK1,X0) = multiplication(sF5,X0),
inference(forward_demodulation,[],[f164,f110]) ).
fof(f186,plain,
! [X0] : multiplication(X0,sF4) = addition(multiplication(X0,sF3),multiplication(X0,sK2)),
inference(superposition,[],[f37,f73]) ).
fof(f205,plain,
! [X0] : multiplication(X0,sF4) = addition(multiplication(X0,sF3),multiplication(X0,sF8)),
inference(forward_demodulation,[],[f186,f135]) ).
fof(f214,plain,
! [X0] : addition(multiplication(X0,sF3),multiplication(X0,sF8)) = X0,
inference(forward_demodulation,[],[f205,f111]) ).
fof(f226,plain,
complement(sF8,sF3),
inference(superposition,[],[f83,f135]) ).
fof(f234,plain,
! [X0] : multiplication(sF4,X0) = addition(multiplication(sF3,X0),multiplication(sK2,X0)),
inference(superposition,[],[f38,f73]) ).
fof(f235,plain,
! [X0] : addition(multiplication(sF5,X0),multiplication(sF8,X0)) = multiplication(sF9,X0),
inference(superposition,[],[f38,f67]) ).
fof(f236,plain,
! [X0] : addition(multiplication(sF6,X0),multiplication(sK1,X0)) = multiplication(sF7,X0),
inference(superposition,[],[f38,f74]) ).
fof(f237,plain,
! [X0] : addition(multiplication(sF9,X0),multiplication(sF10,X0)) = multiplication(sF11,X0),
inference(superposition,[],[f38,f71]) ).
fof(f252,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF9,X0),multiplication(sF6,multiplication(sF3,X0))),
inference(forward_demodulation,[],[f237,f165]) ).
fof(f253,plain,
! [X0] : multiplication(sF4,X0) = addition(multiplication(sF6,X0),multiplication(sK1,X0)),
inference(forward_demodulation,[],[f236,f99]) ).
fof(f254,plain,
! [X0] : multiplication(sF4,X0) = addition(multiplication(sF3,X0),multiplication(sF8,X0)),
inference(forward_demodulation,[],[f234,f135]) ).
fof(f262,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,X0)),multiplication(sF9,X0)),
inference(forward_demodulation,[],[f252,f30]) ).
fof(f263,plain,
! [X0] : multiplication(sF4,X0) = addition(multiplication(sF6,X0),multiplication(sF5,X0)),
inference(forward_demodulation,[],[f253,f174]) ).
fof(f264,plain,
! [X0] : addition(multiplication(sF3,X0),multiplication(sF8,X0)) = X0,
inference(forward_demodulation,[],[f254,f110]) ).
fof(f269,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,X0)),addition(multiplication(sF5,X0),multiplication(sF8,X0))),
inference(forward_demodulation,[],[f262,f235]) ).
fof(f270,plain,
! [X0] : multiplication(sF4,X0) = addition(multiplication(sF5,X0),multiplication(sF6,X0)),
inference(forward_demodulation,[],[f263,f30]) ).
fof(f274,plain,
! [X0] : addition(multiplication(sF5,X0),multiplication(sF6,X0)) = X0,
inference(forward_demodulation,[],[f270,f110]) ).
fof(f374,plain,
zero = multiplication(sF3,sF8),
inference(resolution,[],[f226,f45]) ).
fof(f573,plain,
! [X0,X1] : multiplication(X0,X1) = addition(multiplication(multiplication(X0,sF3),X1),multiplication(multiplication(X0,sF8),X1)),
inference(superposition,[],[f38,f214]) ).
fof(f576,plain,
! [X0,X1] : multiplication(X0,X1) = addition(multiplication(multiplication(X0,sF3),X1),multiplication(X0,multiplication(sF8,X1))),
inference(forward_demodulation,[],[f573,f34]) ).
fof(f586,plain,
! [X0,X1] : multiplication(X0,X1) = addition(multiplication(X0,multiplication(sF8,X1)),multiplication(multiplication(X0,sF3),X1)),
inference(forward_demodulation,[],[f576,f30]) ).
fof(f594,plain,
! [X0,X1] : multiplication(X0,X1) = addition(multiplication(X0,multiplication(sF8,X1)),multiplication(X0,multiplication(sF3,X1))),
inference(forward_demodulation,[],[f586,f34]) ).
fof(f599,plain,
! [X0,X1] : multiplication(X0,X1) = addition(multiplication(X0,multiplication(sF3,X1)),multiplication(X0,multiplication(sF8,X1))),
inference(forward_demodulation,[],[f594,f30]) ).
fof(f614,plain,
! [X0,X1] : addition(X0,X1) = addition(multiplication(sF3,X0),addition(multiplication(sF8,X0),X1)),
inference(superposition,[],[f31,f264]) ).
fof(f689,plain,
zero = multiplication(sF3,sK0(sF3)),
inference(resolution,[],[f91,f45]) ).
fof(f690,plain,
zero = multiplication(sK0(sF3),sF3),
inference(resolution,[],[f91,f44]) ).
fof(f691,plain,
one = addition(sF3,sK0(sF3)),
inference(resolution,[],[f91,f43]) ).
fof(f693,plain,
sF4 = addition(sF3,sK0(sF3)),
inference(forward_demodulation,[],[f691,f95]) ).
fof(f1099,plain,
! [X0] : addition(multiplication(sF5,X0),X0) = X0,
inference(superposition,[],[f137,f274]) ).
fof(f1124,plain,
! [X0] : addition(X0,multiplication(sF5,X0)) = X0,
inference(forward_demodulation,[],[f1099,f30]) ).
fof(f1314,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(addition(X0,X1),X3)),
inference(superposition,[],[f139,f31]) ).
fof(f1335,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[],[f31,f139]) ).
fof(f1371,plain,
! [X2,X3,X0,X1] : addition(addition(X0,addition(X1,X2)),X3) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f1314,f31]) ).
fof(f1388,plain,
! [X2,X3,X0,X1] : addition(X0,addition(addition(X1,X2),X3)) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f1371,f31]) ).
fof(f1399,plain,
! [X2,X3,X0,X1] : addition(X0,addition(X1,addition(X2,X3))) = addition(X2,addition(X0,addition(X1,X3))),
inference(forward_demodulation,[],[f1388,f31]) ).
fof(f1632,plain,
! [X2,X3,X0,X1] : addition(X3,addition(X0,addition(X1,X2))) = addition(X2,addition(X3,addition(X0,X1))),
inference(superposition,[],[f152,f31]) ).
fof(f4032,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF3,multiplication(sK2,X0)),
inference(superposition,[],[f34,f108]) ).
fof(f4033,plain,
( zero != zero
| zero != multiplication(sK2,sF3)
| complement(sF3,sK2)
| one != addition(sK2,sF3) ),
inference(superposition,[],[f46,f108]) ).
fof(f4043,plain,
( zero != multiplication(sK2,sF3)
| complement(sF3,sK2)
| one != addition(sK2,sF3) ),
inference(trivial_inequality_removal,[],[f4033]) ).
fof(f4053,plain,
( complement(sF3,sK2)
| one != addition(sK2,sF3) ),
inference(forward_subsumption_resolution,[],[f4043,f102]) ).
fof(f4054,plain,
! [X0] : multiplication(zero,X0) = multiplication(sF3,multiplication(sF8,X0)),
inference(forward_demodulation,[],[f4032,f135]) ).
fof(f4062,plain,
( complement(sF3,sF8)
| one != addition(sK2,sF3) ),
inference(forward_demodulation,[],[f4053,f135]) ).
fof(f4063,plain,
! [X0] : zero = multiplication(sF3,multiplication(sF8,X0)),
inference(forward_demodulation,[],[f4054,f40]) ).
fof(f4070,plain,
( one != addition(sF3,sK2)
| complement(sF3,sF8) ),
inference(forward_demodulation,[],[f4062,f30]) ).
fof(f4075,plain,
( one != sF4
| complement(sF3,sF8) ),
inference(forward_demodulation,[],[f4070,f73]) ).
fof(f4080,plain,
complement(sF3,sF8),
inference(forward_subsumption_resolution,[],[f4075,f95]) ).
fof(f4157,plain,
( sF8 = c(sF3)
| ~ test(sF3) ),
inference(resolution,[],[f4080,f48]) ).
fof(f4163,plain,
sF8 = c(sF3),
inference(forward_subsumption_resolution,[],[f4157,f85]) ).
fof(f5324,plain,
! [X0,X1] : addition(X0,X1) = addition(X0,addition(multiplication(sF5,X0),X1)),
inference(superposition,[],[f31,f1124]) ).
fof(f6743,plain,
sF3 = addition(multiplication(sF3,sF3),zero),
inference(superposition,[],[f214,f374]) ).
fof(f6766,plain,
sF3 = multiplication(sF3,sF3),
inference(forward_demodulation,[],[f6743,f32]) ).
fof(f7694,plain,
! [X0] : multiplication(sF3,X0) = multiplication(sF3,multiplication(sF3,X0)),
inference(superposition,[],[f34,f6766]) ).
fof(f10656,plain,
( zero != zero
| zero != multiplication(sK0(sF3),sF3)
| complement(sF3,sK0(sF3))
| one != addition(sK0(sF3),sF3) ),
inference(superposition,[],[f46,f689]) ).
fof(f10666,plain,
( zero != multiplication(sK0(sF3),sF3)
| complement(sF3,sK0(sF3))
| one != addition(sK0(sF3),sF3) ),
inference(trivial_inequality_removal,[],[f10656]) ).
fof(f10676,plain,
( complement(sF3,sK0(sF3))
| one != addition(sK0(sF3),sF3) ),
inference(forward_subsumption_resolution,[],[f10666,f690]) ).
fof(f10687,plain,
( one != addition(sF3,sK0(sF3))
| complement(sF3,sK0(sF3)) ),
inference(forward_demodulation,[],[f10676,f30]) ).
fof(f10694,plain,
( one != sF4
| complement(sF3,sK0(sF3)) ),
inference(forward_demodulation,[],[f10687,f693]) ).
fof(f10700,plain,
complement(sF3,sK0(sF3)),
inference(forward_subsumption_resolution,[],[f10694,f95]) ).
fof(f11142,plain,
( c(sF3) = sK0(sF3)
| ~ test(sF3) ),
inference(resolution,[],[f10700,f48]) ).
fof(f11150,plain,
c(sF3) = sK0(sF3),
inference(forward_subsumption_resolution,[],[f11142,f85]) ).
fof(f12444,plain,
sF8 = sK0(sF3),
inference(superposition,[],[f4163,f11150]) ).
fof(f12741,plain,
! [X0,X1] : addition(X0,X1) = addition(multiplication(sF3,X0),addition(multiplication(sK0(sF3),X0),X1)),
inference(superposition,[],[f614,f12444]) ).
fof(f15176,plain,
! [X0] : multiplication(sF11,X0) = addition(addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF5,multiplication(sF3,X0)),multiplication(sF8,multiplication(sF3,X0)))),multiplication(sF11,multiplication(sF8,X0))),
inference(superposition,[],[f599,f269]) ).
fof(f15254,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(addition(multiplication(sF5,multiplication(sF3,X0)),multiplication(sF8,multiplication(sF3,X0))),multiplication(sF11,multiplication(sF8,X0)))),
inference(forward_demodulation,[],[f15176,f31]) ).
fof(f15307,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF8,multiplication(sF3,X0)),multiplication(sF11,multiplication(sF8,X0))))),
inference(forward_demodulation,[],[f15254,f31]) ).
fof(f15351,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF8,multiplication(sF3,X0)),multiplication(sF11,multiplication(sF8,X0))))),
inference(forward_demodulation,[],[f15307,f1335]) ).
fof(f15386,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF8,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF8,X0))),addition(multiplication(sF5,multiplication(sF8,X0)),multiplication(sF8,multiplication(sF8,X0))))))),
inference(forward_demodulation,[],[f15351,f269]) ).
fof(f15416,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF8,X0))),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF8,multiplication(sF3,X0)),addition(multiplication(sF5,multiplication(sF8,X0)),multiplication(sF8,multiplication(sF8,X0))))))),
inference(forward_demodulation,[],[f15386,f1399]) ).
fof(f15443,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF8,X0))),addition(multiplication(sF8,multiplication(sF3,X0)),addition(multiplication(sF5,multiplication(sF8,X0)),multiplication(sF8,multiplication(sF8,X0))))))),
inference(forward_demodulation,[],[f15416,f1399]) ).
fof(f15464,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF6,multiplication(sF3,multiplication(sF8,X0))),addition(multiplication(sF8,multiplication(sF3,X0)),addition(multiplication(sF5,multiplication(sF8,X0)),multiplication(sF8,multiplication(sF8,X0))))))),
inference(forward_demodulation,[],[f15443,f1335]) ).
fof(f15480,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF5,multiplication(sF8,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF8,X0))),addition(multiplication(sF8,multiplication(sF3,X0)),multiplication(sF8,multiplication(sF8,X0))))))),
inference(forward_demodulation,[],[f15464,f1399]) ).
fof(f15494,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF5,multiplication(sF8,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF8,X0))),multiplication(sF8,X0))))),
inference(forward_demodulation,[],[f15480,f599]) ).
fof(f15506,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF8,X0),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF5,multiplication(sF8,X0)),multiplication(sF6,multiplication(sF3,multiplication(sF8,X0))))))),
inference(forward_demodulation,[],[f15494,f1632]) ).
fof(f15516,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF8,X0),addition(multiplication(sF5,multiplication(sF8,X0)),multiplication(sF6,multiplication(sF3,multiplication(sF8,X0))))))),
inference(forward_demodulation,[],[f15506,f1399]) ).
fof(f15525,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF8,X0),addition(multiplication(sF5,multiplication(sF8,X0)),multiplication(sF6,multiplication(sF3,multiplication(sF8,X0))))))),
inference(forward_demodulation,[],[f15516,f1335]) ).
fof(f15532,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF8,X0),multiplication(sF6,multiplication(sF3,multiplication(sF8,X0)))))),
inference(forward_demodulation,[],[f15525,f5324]) ).
fof(f15538,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),addition(multiplication(sF8,X0),multiplication(sF6,zero)))),
inference(forward_demodulation,[],[f15532,f4063]) ).
fof(f15544,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,zero),addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),multiplication(sF8,X0)))),
inference(forward_demodulation,[],[f15538,f1632]) ).
fof(f15549,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF6,zero),addition(multiplication(sF5,multiplication(sF3,X0)),addition(multiplication(sF6,multiplication(sF3,multiplication(sF3,X0))),multiplication(sK0(sF3),X0)))),
inference(forward_demodulation,[],[f15544,f12444]) ).
fof(f15554,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sK0(sF3),X0),addition(multiplication(sF6,zero),addition(multiplication(sF5,multiplication(sF3,X0)),multiplication(sF6,multiplication(sF3,multiplication(sF3,X0)))))),
inference(forward_demodulation,[],[f15549,f1632]) ).
fof(f15558,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sK0(sF3),X0),addition(multiplication(sF6,zero),addition(multiplication(sF5,multiplication(sF3,X0)),multiplication(sF6,multiplication(sF3,X0))))),
inference(forward_demodulation,[],[f15554,f7694]) ).
fof(f15562,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sK0(sF3),X0),addition(multiplication(sF6,zero),multiplication(sF3,X0))),
inference(forward_demodulation,[],[f15558,f274]) ).
fof(f15566,plain,
! [X0] : multiplication(sF11,X0) = addition(multiplication(sF3,X0),addition(multiplication(sK0(sF3),X0),multiplication(sF6,zero))),
inference(forward_demodulation,[],[f15562,f152]) ).
fof(f15570,plain,
! [X0] : multiplication(sF11,X0) = addition(X0,multiplication(sF6,zero)),
inference(forward_demodulation,[],[f15566,f12741]) ).
fof(f15574,plain,
! [X0] : addition(X0,zero) = multiplication(sF11,X0),
inference(forward_demodulation,[],[f15570,f39]) ).
fof(f15578,plain,
! [X0] : multiplication(sF11,X0) = X0,
inference(forward_demodulation,[],[f15574,f32]) ).
fof(f15620,plain,
one = sF11,
inference(superposition,[],[f35,f15578]) ).
fof(f15673,plain,
$false,
inference(forward_subsumption_resolution,[],[f15620,f72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KLE011+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 13:00:11 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.91/1.36 % (514972)Will run a generic schedule for satisfiability detection.
% 5.91/1.36 % (514978)% WARNING: option uhcvi not known.
% 5.91/1.36 % (514978)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1410616848:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.91/1.36 % (514982)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=442173558:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.91/1.36 % (514977)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1453646187_2999 on theBenchmark for (2999ds/0Mi)
% 5.91/1.36 % (514979)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1635874213:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.91/1.36 % (514980)dis+10_1_sil=32000:sp=arity:random_seed=2637424053:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.91/1.36 % TRYING [1]
% 5.91/1.36 % TRYING [2]
% 5.91/1.36 % TRYING [3]
% 5.91/1.36 % (514981)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=704279238:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.91/1.36 % (514983)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3488524669:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.91/1.36 % TRYING [4]
% 5.91/1.36 % TRYING [5]
% 5.91/1.36 % (514980)Instruction limit reached!
% 5.91/1.36 % (514980)------------------------------
% 5.91/1.36 % (514980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (514980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (514980)CaDiCaL version: 2.1.3
% 5.91/1.36 % (514980)Termination reason: Instruction limit
% 5.91/1.36 % (514980)Termination phase: Saturation
% 5.91/1.36 % (514980)Time elapsed: 0.061 s
% 5.91/1.36 % (514980)Peak memory usage: 13 MB
% 5.91/1.36 % (514980)Instructions burned: 104 (million)
% 5.91/1.36 % (514982)Instruction limit reached!
% 5.91/1.36 % (514982)------------------------------
% 5.91/1.36 % (514982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (514982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (514982)CaDiCaL version: 2.1.3
% 5.91/1.36 % (514982)Termination reason: Instruction limit
% 5.91/1.36 % (514982)Termination phase: Saturation
% 5.91/1.36 % (514982)Time elapsed: 0.072 s
% 5.91/1.36 % (514982)Peak memory usage: 13 MB
% 5.91/1.36 % (514982)Instructions burned: 131 (million)
% 5.91/1.36 % TRYING [6]
% 5.91/1.36 % (514981)Instruction limit reached!
% 5.91/1.36 % (514981)------------------------------
% 5.91/1.36 % (514981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (514981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (514981)CaDiCaL version: 2.1.3
% 5.91/1.36 % (514981)Termination reason: Instruction limit
% 5.91/1.36 % (514981)Termination phase: Saturation
% 5.91/1.36 % (514981)Time elapsed: 0.068 s
% 5.91/1.36 % (514981)Peak memory usage: 13 MB
% 5.91/1.36 % (514981)Instructions burned: 118 (million)
% 5.91/1.36 % (515000)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=110710069:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.91/1.36 % TRYING [1]
% 5.91/1.36 % TRYING [2]
% 5.91/1.36 % TRYING [3]
% 5.91/1.36 % (515005)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3216812381:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.91/1.36 % TRYING [4]
% 5.91/1.36 % (515007)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=965635831:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.91/1.36 % TRYING [5]
% 5.91/1.36 % (514983)Instruction limit reached!
% 5.91/1.36 % (514983)------------------------------
% 5.91/1.36 % (514983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (514983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (514983)CaDiCaL version: 2.1.3
% 5.91/1.36 % (514983)Termination reason: Instruction limit
% 5.91/1.36 % (514983)Termination phase: Saturation
% 5.91/1.36 % (514983)Time elapsed: 0.107 s
% 5.91/1.36 % (514983)Peak memory usage: 13 MB
% 5.91/1.36 % (514983)Instructions burned: 160 (million)
% 5.91/1.36 % (515021)ott-21_1_sil=16000:fs=off:random_seed=1395522706:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.91/1.36 % TRYING [6]
% 5.91/1.36 % (515005)Instruction limit reached!
% 5.91/1.36 % (515005)------------------------------
% 5.91/1.36 % (515005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (515005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (515005)CaDiCaL version: 2.1.3
% 5.91/1.36 % (515005)Termination reason: Instruction limit
% 5.91/1.36 % (515005)Termination phase: Saturation
% 5.91/1.36 % (515005)Time elapsed: 0.084 s
% 5.91/1.36 % (515005)Peak memory usage: 13 MB
% 5.91/1.36 % (515005)Instructions burned: 131 (million)
% 5.91/1.36 % TRYING [7]
% 5.91/1.36 % (515042)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1722435926:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.91/1.36 % (515021)Instruction limit reached!
% 5.91/1.36 % (515021)------------------------------
% 5.91/1.36 % (515021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (515021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (515021)CaDiCaL version: 2.1.3
% 5.91/1.36 % (515021)Termination reason: Instruction limit
% 5.91/1.36 % (515021)Termination phase: Saturation
% 5.91/1.36 % (515021)Time elapsed: 0.079 s
% 5.91/1.36 % (515021)Peak memory usage: 12 MB
% 5.91/1.36 % (515021)Instructions burned: 182 (million)
% 5.91/1.36 % (515060)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2874617410:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.91/1.36 % TRYING [1]
% 5.91/1.36 % TRYING [2]
% 5.91/1.36 % TRYING [3]
% 5.91/1.36 % TRYING [4]
% 5.91/1.36 % TRYING [5]
% 5.91/1.36 % TRYING [7]
% 5.91/1.36 % (515000)Instruction limit reached!
% 5.91/1.36 % (515000)------------------------------
% 5.91/1.36 % (515000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (515000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (515000)CaDiCaL version: 2.1.3
% 5.91/1.36 % (515000)Termination reason: Instruction limit
% 5.91/1.36 % (515000)Termination phase: Finite model building constraint generation
% 5.91/1.36 % (515000)Time elapsed: 0.278 s
% 5.91/1.36 % (515000)Peak memory usage: 30 MB
% 5.91/1.36 % (515000)Instructions burned: 714 (million)
% 5.91/1.36 % (515089)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3233148397:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 5.91/1.36 % TRYING [6]
% 5.91/1.36 % (515007)Instruction limit reached!
% 5.91/1.36 % (515007)------------------------------
% 5.91/1.36 % (515007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (515007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (515007)CaDiCaL version: 2.1.3
% 5.91/1.36 % (515007)Termination reason: Instruction limit
% 5.91/1.36 % (515007)Termination phase: Saturation
% 5.91/1.36 % (515007)Time elapsed: 0.356 s
% 5.91/1.36 % (515007)Peak memory usage: 17 MB
% 5.91/1.36 % (515007)Instructions burned: 685 (million)
% 5.91/1.36 % (515042)Instruction limit reached!
% 5.91/1.36 % (515042)------------------------------
% 5.91/1.36 % (515042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (515042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (515042)CaDiCaL version: 2.1.3
% 5.91/1.36 % (515042)Termination reason: Instruction limit
% 5.91/1.36 % (515042)Termination phase: Saturation
% 5.91/1.36 % (515042)Time elapsed: 0.270 s
% 5.91/1.36 % (515042)Peak memory usage: 16 MB
% 5.91/1.36 % (515042)Instructions burned: 477 (million)
% 5.91/1.36 % (515105)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3722944767:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 5.91/1.36 % (515107)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2523293861:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 5.91/1.36 % TRYING [8]
% 5.91/1.36 % TRYING [14]
% 5.91/1.36 % (515060)Instruction limit reached!
% 5.91/1.36 % (515060)------------------------------
% 5.91/1.36 % (515060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (515060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (515060)CaDiCaL version: 2.1.3
% 5.91/1.36 % (515060)Termination reason: Instruction limit
% 5.91/1.36 % (515060)Termination phase: Finite model building SAT solving
% 5.91/1.36 % (515060)Time elapsed: 0.369 s
% 5.91/1.36 % (515060)Peak memory usage: 24 MB
% 5.91/1.36 % (515060)Instructions burned: 868 (million)
% 5.91/1.36 % (515110)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1705455581:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 5.91/1.36 % (515105)Instruction limit reached!
% 5.91/1.36 % (515105)------------------------------
% 5.91/1.36 % (515105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (515105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (515105)CaDiCaL version: 2.1.3
% 5.91/1.36 % (515105)Termination reason: Instruction limit
% 5.91/1.36 % (515105)Termination phase: Finite model building constraint generation
% 5.91/1.36 % (515105)Time elapsed: 0.340 s
% 5.91/1.36 % (515105)Peak memory usage: 81 MB
% 5.91/1.36 % (515105)Instructions burned: 889 (million)
% 5.91/1.36 % (515125)fmb+10_1_sil=64000:random_seed=1051305446:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 5.91/1.36 % TRYING [1]
% 5.91/1.36 % TRYING [2]
% 5.91/1.36 % TRYING [3]
% 5.91/1.36 % TRYING [4]
% 5.91/1.36 % (515089) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-514972-515089"...
% 5.91/1.36 % (515107)Instruction limit reached!
% 5.91/1.36 % (515107)------------------------------
% 5.91/1.36 % (515107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.36 % (515107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.36 % (515107)CaDiCaL version: 2.1.3
% 5.91/1.36 % (515107)Termination reason: Instruction limit
% 5.91/1.36 % (515107)Termination phase: Saturation
% 5.91/1.36 % (515107)Time elapsed: 0.394 s
% 5.91/1.36 % (515107)Peak memory usage: 19 MB
% 5.91/1.36 % (515107)Instructions burned: 693 (million)
% 5.91/1.36 % TRYING [5]
% 5.91/1.36 % (515089)...printing done.
% 5.91/1.36 % (515089)Refutation found. Thanks to Tanya!
% 5.91/1.36 % SZS status Theorem for theBenchmark
% 5.91/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 5.91/1.37 % (515089)------------------------------
% 5.91/1.37 % (515089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.91/1.37 % (515089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.91/1.37 % (515089)CaDiCaL version: 2.1.3
% 5.91/1.37 % (515089)Termination reason: Refutation
% 5.91/1.37 % (515089)Time elapsed: 0.492 s
% 5.91/1.37 % (515089)Peak memory usage: 17 MB
% 5.91/1.37 % (515089)Instructions burned: 949 (million)
% 5.91/1.37 % (514972)Success in time 0.936 s
% 5.91/1.37 % Vampire exiting
%------------------------------------------------------------------------------