%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE009+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 11:40:01 AM UTC 2026
% Result : Theorem 3.00s 1.31s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 99 ( 22 unt; 2 def)
% Number of atoms : 207 ( 43 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 192 ( 84 ~; 79 |; 19 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 60 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f14,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f17,conjecture,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> ( leq(one,addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))))
& leq(addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( test(X1)
& test(X0) )
=> ( leq(one,addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))))
& leq(addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one) ) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f20,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f23,plain,
? [X0,X1] :
( ( ~ leq(one,addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))))
| ~ leq(addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one) )
& test(X1)
& test(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f24,plain,
? [X0,X1] :
( ( ~ leq(one,addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))))
| ~ leq(addition(addition(addition(multiplication(X0,X1),multiplication(X0,c(X1))),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one) )
& test(X1)
& test(X0) ),
inference(flattening,[],[f23]) ).
fof(f28,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(f29,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,[],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f21]) ).
fof(f31,plain,
( ( ~ leq(one,addition(addition(addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))))
| ~ leq(addition(addition(addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),one) )
& test(sK2)
& test(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f24]) ).
fof(f32,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f33,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f35,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f37,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f39,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f40,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f43,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f46,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f53,plain,
test(sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f54,plain,
test(sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f55,plain,
( ~ leq(one,addition(addition(addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))))
| ~ leq(addition(addition(addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),one) ),
inference(cnf_transformation,[],[f31]) ).
fof(f56,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f50]) ).
fof(f58,definition,
( spl3_1
<=> leq(addition(addition(addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),one) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f59,plain,
( leq(addition(addition(addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),one)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f60,plain,
( ~ leq(addition(addition(addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),one)
| spl3_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f62,definition,
( spl3_2
<=> leq(one,addition(addition(addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f64,plain,
( ~ leq(one,addition(addition(addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))))
| spl3_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f55,f62,f58]) ).
fof(f85,plain,
! [X0] :
( one = addition(c(X0),X0)
| ~ test(X0) ),
inference(resolution,[],[f46,f56]) ).
fof(f86,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f85,f32]) ).
fof(f101,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(superposition,[],[f33,f32]) ).
fof(f147,plain,
( ~ leq(addition(addition(multiplication(sK1,addition(sK2,c(sK2))),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),one)
| spl3_1 ),
inference(superposition,[],[f60,f39]) ).
fof(f153,plain,
( ~ leq(addition(multiplication(c(sK1),c(sK2)),addition(multiplication(sK1,addition(sK2,c(sK2))),multiplication(c(sK1),sK2))),one)
| spl3_1 ),
inference(forward_demodulation,[],[f147,f32]) ).
fof(f162,plain,
( ~ leq(addition(multiplication(c(sK1),c(sK2)),addition(multiplication(c(sK1),sK2),multiplication(sK1,addition(sK2,c(sK2))))),one)
| spl3_1 ),
inference(forward_demodulation,[],[f153,f32]) ).
fof(f217,plain,
one = addition(sK1,c(sK1)),
inference(resolution,[],[f86,f53]) ).
fof(f218,plain,
one = addition(sK2,c(sK2)),
inference(resolution,[],[f86,f54]) ).
fof(f509,plain,
( ~ leq(addition(multiplication(c(sK1),sK2),addition(multiplication(sK1,addition(sK2,c(sK2))),multiplication(c(sK1),c(sK2)))),one)
| spl3_1 ),
inference(superposition,[],[f162,f101]) ).
fof(f553,plain,
( ~ leq(addition(multiplication(c(sK1),sK2),addition(multiplication(c(sK1),c(sK2)),multiplication(sK1,addition(sK2,c(sK2))))),one)
| spl3_1 ),
inference(forward_demodulation,[],[f509,f32]) ).
fof(f594,plain,
( ~ leq(addition(multiplication(c(sK1),sK2),addition(multiplication(c(sK1),c(sK2)),multiplication(sK1,one))),one)
| spl3_1 ),
inference(forward_demodulation,[],[f553,f218]) ).
fof(f612,plain,
( ~ leq(addition(multiplication(sK1,one),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2)))),one)
| spl3_1 ),
inference(forward_demodulation,[],[f594,f101]) ).
fof(f622,plain,
( ~ leq(addition(multiplication(sK1,one),multiplication(c(sK1),addition(sK2,c(sK2)))),one)
| spl3_1 ),
inference(forward_demodulation,[],[f612,f39]) ).
fof(f629,plain,
( ~ leq(addition(multiplication(sK1,one),multiplication(c(sK1),one)),one)
| spl3_1 ),
inference(forward_demodulation,[],[f622,f218]) ).
fof(f635,plain,
( ~ leq(multiplication(addition(sK1,c(sK1)),one),one)
| spl3_1 ),
inference(forward_demodulation,[],[f629,f40]) ).
fof(f641,plain,
( ~ leq(addition(sK1,c(sK1)),one)
| spl3_1 ),
inference(forward_demodulation,[],[f635,f37]) ).
fof(f645,plain,
( ~ leq(one,one)
| spl3_1 ),
inference(forward_demodulation,[],[f641,f217]) ).
fof(f648,plain,
( one != addition(one,one)
| spl3_1 ),
inference(resolution,[],[f645,f43]) ).
fof(f649,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f648,f35]) ).
fof(f650,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f649]) ).
fof(f651,plain,
( leq(addition(multiplication(c(sK1),c(sK2)),addition(addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),multiplication(c(sK1),sK2))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f59,f32]) ).
fof(f652,plain,
( ~ leq(one,addition(multiplication(c(sK1),c(sK2)),addition(addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))),multiplication(c(sK1),sK2))))
| spl3_2 ),
inference(forward_demodulation,[],[f64,f32]) ).
fof(f653,plain,
( leq(addition(multiplication(c(sK1),sK2),addition(multiplication(c(sK1),c(sK2)),addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f651,f101]) ).
fof(f654,plain,
( ~ leq(one,addition(multiplication(c(sK1),sK2),addition(multiplication(c(sK1),c(sK2)),addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2))))))
| spl3_2 ),
inference(forward_demodulation,[],[f652,f101]) ).
fof(f655,plain,
( leq(addition(multiplication(c(sK1),sK2),addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),c(sK2))))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f653,f101]) ).
fof(f656,plain,
( ~ leq(one,addition(multiplication(c(sK1),sK2),addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),c(sK2))))))
| spl3_2 ),
inference(forward_demodulation,[],[f654,f101]) ).
fof(f657,plain,
( leq(addition(multiplication(sK1,sK2),addition(addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),c(sK2))),multiplication(c(sK1),sK2))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f655,f101]) ).
fof(f658,plain,
( ~ leq(one,addition(multiplication(sK1,sK2),addition(addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),c(sK2))),multiplication(c(sK1),sK2))))
| spl3_2 ),
inference(forward_demodulation,[],[f656,f101]) ).
fof(f659,plain,
( leq(addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),c(sK2))))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f657,f32]) ).
fof(f660,plain,
( ~ leq(one,addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),c(sK2))))))
| spl3_2 ),
inference(forward_demodulation,[],[f658,f32]) ).
fof(f661,plain,
( leq(addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),addition(multiplication(c(sK1),c(sK2)),multiplication(c(sK1),sK2)))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f659,f101]) ).
fof(f662,plain,
( ~ leq(one,addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),addition(multiplication(c(sK1),c(sK2)),multiplication(c(sK1),sK2)))))
| spl3_2 ),
inference(forward_demodulation,[],[f660,f101]) ).
fof(f663,plain,
( leq(addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2))))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f661,f32]) ).
fof(f664,plain,
( ~ leq(one,addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2))))))
| spl3_2 ),
inference(forward_demodulation,[],[f662,f32]) ).
fof(f665,plain,
( leq(addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),addition(sK2,c(sK2))))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f663,f39]) ).
fof(f666,plain,
( ~ leq(one,addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),addition(sK2,c(sK2))))))
| spl3_2 ),
inference(forward_demodulation,[],[f664,f39]) ).
fof(f667,plain,
( leq(addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),one))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f665,f218]) ).
fof(f668,plain,
( ~ leq(one,addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),one))))
| spl3_2 ),
inference(forward_demodulation,[],[f666,f218]) ).
fof(f669,plain,
( leq(addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),c(sK1))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f667,f37]) ).
fof(f670,plain,
( ~ leq(one,addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),c(sK1))))
| spl3_2 ),
inference(forward_demodulation,[],[f668,f37]) ).
fof(f671,plain,
( leq(addition(c(sK1),addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2)))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f669,f101]) ).
fof(f672,plain,
( ~ leq(one,addition(c(sK1),addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2)))))
| spl3_2 ),
inference(forward_demodulation,[],[f670,f101]) ).
fof(f673,plain,
( leq(addition(c(sK1),multiplication(sK1,addition(sK2,c(sK2)))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f671,f39]) ).
fof(f674,plain,
( ~ leq(one,addition(c(sK1),multiplication(sK1,addition(sK2,c(sK2)))))
| spl3_2 ),
inference(forward_demodulation,[],[f672,f39]) ).
fof(f675,plain,
( leq(addition(c(sK1),multiplication(sK1,one)),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f673,f218]) ).
fof(f676,plain,
( ~ leq(one,addition(c(sK1),multiplication(sK1,one)))
| spl3_2 ),
inference(forward_demodulation,[],[f674,f218]) ).
fof(f677,plain,
( leq(addition(c(sK1),sK1),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f675,f37]) ).
fof(f678,plain,
( ~ leq(one,addition(c(sK1),sK1))
| spl3_2 ),
inference(forward_demodulation,[],[f676,f37]) ).
fof(f679,plain,
( leq(addition(sK1,c(sK1)),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f677,f32]) ).
fof(f680,plain,
( ~ leq(one,addition(sK1,c(sK1)))
| spl3_2 ),
inference(forward_demodulation,[],[f678,f32]) ).
fof(f681,plain,
( leq(one,one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f679,f217]) ).
fof(f682,plain,
( ~ leq(one,one)
| spl3_2 ),
inference(forward_demodulation,[],[f680,f217]) ).
fof(f683,plain,
( $false
| ~ spl3_1
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f682,f681]) ).
fof(f684,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_contradiction_clause,[],[f683]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f65]) ).
cnf(s2,plain,
spl3_1,
inference(sat_conversion,[],[f650]) ).
cnf(s3,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f684]) ).
cnf(s4,plain,
spl3_2,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f685,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE009+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.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
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 12:58:32 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.00/1.31 % (947497)Detected formulas, will run a generic FOF schedule.
% 3.00/1.31 % (947506)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=412436647:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.00/1.31 % (947506)Instruction limit reached!
% 3.00/1.31 % (947506)------------------------------
% 3.00/1.31 % (947506)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.31 % (947506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.31 % (947506)CaDiCaL version: 2.1.3
% 3.00/1.31 % (947506)Termination reason: Instruction limit
% 3.00/1.31 % (947506)Termination phase: Saturation
% 3.00/1.31 % (947506)Time elapsed: 0.038 s
% 3.00/1.31 % (947506)Peak memory usage: 89 MB
% 3.00/1.31 % (947506)Instructions burned: 121 (million)
% 3.00/1.31 % (947503)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2232204375:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.00/1.31 % (947505)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3506999346:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.00/1.31 % (947504)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2841463312:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.00/1.31 % (947502)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1835307433:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.00/1.31 % (947505)Refutation not found, incomplete strategy
% 3.00/1.31 % (947505)------------------------------
% 3.00/1.31 % (947505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.31 % (947505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.31 % (947505)CaDiCaL version: 2.1.3
% 3.00/1.31 % (947505)Termination reason: Refutation not found, incomplete strategy
% 3.00/1.31 % (947505)Time elapsed: 0.002 s
% 3.00/1.31 % (947505)Peak memory usage: 89 MB
% 3.00/1.31 % (947505)Instructions burned: 1 (million)
% 3.00/1.31 % (947508)dis-21_1_sil=8000:lcm=predicate:random_seed=1383711052:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.00/1.31 % (947508)Refutation not found, incomplete strategy
% 3.00/1.31 % (947508)------------------------------
% 3.00/1.31 % (947508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.31 % (947508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.31 % (947508)CaDiCaL version: 2.1.3
% 3.00/1.31 % (947508)Termination reason: Refutation not found, incomplete strategy
% 3.00/1.31 % (947508)Time elapsed: 0.003 s
% 3.00/1.31 % (947508)Peak memory usage: 88 MB
% 3.00/1.31 % (947508)Instructions burned: 2 (million)
% 3.00/1.31 % (947507)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1984797692:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.00/1.31 % (947507)First to succeed.
% 3.00/1.31 % (947507)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-947497"
% 3.00/1.31 % (947510)lrs+10_1_sil=8000:sp=occurrence:random_seed=2579806724:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.00/1.31 % (947510)Also succeeded, but the first one will report.
% 3.00/1.31 % (947505)------------------------------
% 3.00/1.31 % (947505)------------------------------
% 3.00/1.31 % (947508)------------------------------
% 3.00/1.31 % (947508)------------------------------
% 3.00/1.31 % (947507)Refutation found. Thanks to Tanya!
% 3.00/1.31 % SZS status Theorem for theBenchmark
% 3.00/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.50 % (947507)------------------------------
% 0.16/1.50 % (947507)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.50 % (947507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.50 % (947507)CaDiCaL version: 2.1.3
% 0.16/1.50 % (947507)Termination reason: Refutation
% 0.16/1.50 % (947507)Time elapsed: 0.018 s
% 0.16/1.50 % (947507)Peak memory usage: 90 MB
% 0.16/1.50 % (947507)Instructions burned: 27 (million)
% 0.16/1.50 % (947507)------------------------------
% 0.16/1.50 % (947507)------------------------------
% 0.16/1.50 % (947497)Success in time 0.446 s
% 0.16/1.50 % Vampire exiting
%------------------------------------------------------------------------------