%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KLE009+4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 3.03s 1.08s
% Output : Refutation 3.51s
% 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/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f19,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/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,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)],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f22,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f29,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,[],[f20]) ).
fof(f30,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,[],[f29]) ).
fof(f34,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(f35,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,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f23]) ).
fof(f37,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)],[f30]) ).
fof(f38,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f2]) ).
fof(f41,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f43,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f35]) ).
fof(f56,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f61,plain,
test(sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
test(sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f63,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,[],[f37]) ).
fof(f64,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f56]) ).
fof(f66,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(f67,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,[],[f66]) ).
fof(f68,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,[],[f66]) ).
fof(f70,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(f72,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,[],[f70]) ).
fof(f73,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f63,f70,f66]) ).
fof(f93,plain,
! [X0] :
( one = addition(c(X0),X0)
| ~ test(X0) ),
inference(resolution,[],[f52,f64]) ).
fof(f94,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,c(X0)) ),
inference(forward_demodulation,[],[f93,f38]) ).
fof(f109,plain,
! [X2,X0,X1] : addition(X0,addition(X1,X2)) = addition(X1,addition(X2,X0)),
inference(superposition,[],[f39,f38]) ).
fof(f155,plain,
( ~ leq(addition(addition(multiplication(sK1,addition(sK2,c(sK2))),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),one)
| spl3_1 ),
inference(superposition,[],[f68,f45]) ).
fof(f161,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,[],[f155,f38]) ).
fof(f170,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,[],[f161,f38]) ).
fof(f429,plain,
one = addition(sK1,c(sK1)),
inference(resolution,[],[f94,f61]) ).
fof(f430,plain,
one = addition(sK2,c(sK2)),
inference(resolution,[],[f94,f62]) ).
fof(f759,plain,
( ~ leq(addition(multiplication(c(sK1),sK2),addition(multiplication(sK1,addition(sK2,c(sK2))),multiplication(c(sK1),c(sK2)))),one)
| spl3_1 ),
inference(superposition,[],[f170,f109]) ).
fof(f803,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,[],[f759,f38]) ).
fof(f843,plain,
( ~ leq(addition(multiplication(c(sK1),sK2),addition(multiplication(c(sK1),c(sK2)),multiplication(sK1,one))),one)
| spl3_1 ),
inference(forward_demodulation,[],[f803,f430]) ).
fof(f860,plain,
( ~ leq(addition(multiplication(sK1,one),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2)))),one)
| spl3_1 ),
inference(forward_demodulation,[],[f843,f109]) ).
fof(f869,plain,
( ~ leq(addition(multiplication(sK1,one),multiplication(c(sK1),addition(sK2,c(sK2)))),one)
| spl3_1 ),
inference(forward_demodulation,[],[f860,f45]) ).
fof(f875,plain,
( ~ leq(addition(multiplication(sK1,one),multiplication(c(sK1),one)),one)
| spl3_1 ),
inference(forward_demodulation,[],[f869,f430]) ).
fof(f881,plain,
( ~ leq(multiplication(addition(sK1,c(sK1)),one),one)
| spl3_1 ),
inference(forward_demodulation,[],[f875,f46]) ).
fof(f887,plain,
( ~ leq(addition(sK1,c(sK1)),one)
| spl3_1 ),
inference(forward_demodulation,[],[f881,f43]) ).
fof(f891,plain,
( ~ leq(one,one)
| spl3_1 ),
inference(forward_demodulation,[],[f887,f429]) ).
fof(f910,plain,
( one != addition(one,one)
| spl3_1 ),
inference(resolution,[],[f891,f49]) ).
fof(f911,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f910,f41]) ).
fof(f912,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f913,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,[],[f67,f38]) ).
fof(f914,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,[],[f72,f38]) ).
fof(f915,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,[],[f913,f109]) ).
fof(f916,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,[],[f914,f109]) ).
fof(f917,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,[],[f915,f109]) ).
fof(f918,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,[],[f916,f109]) ).
fof(f919,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,[],[f917,f109]) ).
fof(f920,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,[],[f918,f109]) ).
fof(f921,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,[],[f919,f38]) ).
fof(f922,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,[],[f920,f38]) ).
fof(f923,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,[],[f921,f109]) ).
fof(f924,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,[],[f922,f109]) ).
fof(f925,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,[],[f923,f38]) ).
fof(f926,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,[],[f924,f38]) ).
fof(f927,plain,
( leq(addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),addition(sK2,c(sK2))))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f925,f45]) ).
fof(f928,plain,
( ~ leq(one,addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),addition(sK2,c(sK2))))))
| spl3_2 ),
inference(forward_demodulation,[],[f926,f45]) ).
fof(f929,plain,
( leq(addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),one))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f927,f430]) ).
fof(f930,plain,
( ~ leq(one,addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),multiplication(c(sK1),one))))
| spl3_2 ),
inference(forward_demodulation,[],[f928,f430]) ).
fof(f931,plain,
( leq(addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),c(sK1))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f929,f43]) ).
fof(f932,plain,
( ~ leq(one,addition(multiplication(sK1,sK2),addition(multiplication(sK1,c(sK2)),c(sK1))))
| spl3_2 ),
inference(forward_demodulation,[],[f930,f43]) ).
fof(f933,plain,
( leq(addition(c(sK1),addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2)))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f931,f109]) ).
fof(f934,plain,
( ~ leq(one,addition(c(sK1),addition(multiplication(sK1,sK2),multiplication(sK1,c(sK2)))))
| spl3_2 ),
inference(forward_demodulation,[],[f932,f109]) ).
fof(f935,plain,
( leq(addition(c(sK1),multiplication(sK1,addition(sK2,c(sK2)))),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f933,f45]) ).
fof(f936,plain,
( ~ leq(one,addition(c(sK1),multiplication(sK1,addition(sK2,c(sK2)))))
| spl3_2 ),
inference(forward_demodulation,[],[f934,f45]) ).
fof(f937,plain,
( leq(addition(c(sK1),multiplication(sK1,one)),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f935,f430]) ).
fof(f938,plain,
( ~ leq(one,addition(c(sK1),multiplication(sK1,one)))
| spl3_2 ),
inference(forward_demodulation,[],[f936,f430]) ).
fof(f939,plain,
( leq(addition(c(sK1),sK1),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f937,f43]) ).
fof(f940,plain,
( ~ leq(one,addition(c(sK1),sK1))
| spl3_2 ),
inference(forward_demodulation,[],[f938,f43]) ).
fof(f941,plain,
( leq(addition(sK1,c(sK1)),one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f939,f38]) ).
fof(f942,plain,
( ~ leq(one,addition(sK1,c(sK1)))
| spl3_2 ),
inference(forward_demodulation,[],[f940,f38]) ).
fof(f943,plain,
( leq(one,one)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f941,f429]) ).
fof(f944,plain,
( ~ leq(one,one)
| spl3_2 ),
inference(forward_demodulation,[],[f942,f429]) ).
fof(f945,plain,
( $false
| ~ spl3_1
| spl3_2 ),
inference(forward_subsumption_resolution,[],[f944,f943]) ).
fof(f946,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_contradiction_clause,[],[f945]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f73]) ).
cnf(s4,plain,
spl3_1,
inference(sat_conversion,[],[f912]) ).
cnf(s5,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f946]) ).
cnf(s6,plain,
spl3_2,
inference(rat,[],[s5,s4]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s1,s6,s4]) ).
fof(f947,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE009+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n008.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 12:58:54 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.03/1.08 % (1202702)Detected formulas, will run a generic FOF schedule.
% 3.03/1.08 % (1202712)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1470842525:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.03/1.08 % (1202708)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=2062715793:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.03/1.08 % (1202709)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=3152536591:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.03/1.08 % (1202707)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=3306968525:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.03/1.08 % (1202713)dis-21_1_sil=8000:lcm=predicate:random_seed=3271835739: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)
% 3.03/1.08 % (1202711)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=887236298:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.03/1.08 % (1202710)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=898398466:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.03/1.08 % (1202710)Refutation not found, incomplete strategy
% 3.03/1.08 % (1202710)------------------------------
% 3.03/1.08 % (1202710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.08 % (1202710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.08 % (1202710)CaDiCaL version: 2.1.3
% 3.03/1.08 % (1202710)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.08 % (1202710)Time elapsed: 0.002 s
% 3.03/1.08 % (1202710)Peak memory usage: 88 MB
% 3.03/1.08 % (1202710)Instructions burned: 1 (million)
% 3.03/1.08 % (1202713)Refutation not found, incomplete strategy
% 3.03/1.08 % (1202713)------------------------------
% 3.03/1.08 % (1202713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.08 % (1202713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.08 % (1202713)CaDiCaL version: 2.1.3
% 3.03/1.08 % (1202713)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.08 % (1202713)Time elapsed: 0.002 s
% 3.03/1.08 % (1202713)Peak memory usage: 88 MB
% 3.03/1.08 % (1202713)Instructions burned: 2 (million)
% 3.03/1.08 % (1202712)First to succeed.
% 3.03/1.08 % (1202712)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1202702"
% 3.03/1.08 % (1202711)Instruction limit reached!
% 3.03/1.08 % (1202711)------------------------------
% 3.03/1.08 % (1202711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.08 % (1202711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.08 % (1202711)CaDiCaL version: 2.1.3
% 3.03/1.08 % (1202711)Termination reason: Instruction limit
% 3.03/1.08 % (1202711)Termination phase: Saturation
% 3.03/1.08 % (1202711)Time elapsed: 0.068 s
% 3.03/1.08 % (1202711)Peak memory usage: 89 MB
% 3.03/1.08 % (1202711)Instructions burned: 120 (million)
% 3.03/1.08 % (1202721)lrs+10_1_sil=8000:sp=occurrence:random_seed=2661419483:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.03/1.08 % (1202721)Also succeeded, but the first one will report.
% 3.03/1.08 % (1202710)------------------------------
% 3.03/1.08 % (1202710)------------------------------
% 3.03/1.08 % (1202713)------------------------------
% 3.03/1.08 % (1202713)------------------------------
% 3.03/1.08 % (1202712)Refutation found. Thanks to Tanya!
% 3.03/1.08 % SZS status Theorem for theBenchmark
% 3.03/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.51/1.18 % (1202712)------------------------------
% 3.51/1.18 % (1202712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.51/1.18 % (1202712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.51/1.18 % (1202712)CaDiCaL version: 2.1.3
% 3.51/1.18 % (1202712)Termination reason: Refutation
% 3.51/1.18 % (1202712)Time elapsed: 0.023 s
% 3.51/1.18 % (1202712)Peak memory usage: 90 MB
% 3.51/1.18 % (1202712)Instructions burned: 34 (million)
% 3.51/1.18 % (1202712)------------------------------
% 3.51/1.18 % (1202712)------------------------------
% 3.51/1.18 % (1202702)Success in time 0.458 s
% 3.51/1.18 % Vampire exiting
%------------------------------------------------------------------------------