%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL018-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 11:50:56 AM UTC 2026
% Result : Unsatisfiable 14.53s 3.01s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 8
% Syntax : Number of formulae : 104 ( 46 unt; 5 def)
% Number of atoms : 198 ( 10 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 191 ( 97 ~; 94 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 246 ( 246 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),equivalent(X2,X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pym) ).
fof(f3,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_pyo) ).
fof(f4,definition,
sF0 = equivalent(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f5,plain,
equivalent(b,c) = sF0,
inference(reorient_equations,[],[f4]) ).
fof(f6,definition,
sF1 = equivalent(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f7,plain,
equivalent(a,sF0) = sF1,
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF2 = equivalent(sF1,c),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f9,plain,
equivalent(sF1,c) = sF2,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF3 = equivalent(b,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f11,plain,
equivalent(b,a) = sF3,
inference(reorient_equations,[],[f10]) ).
fof(f12,definition,
sF4 = equivalent(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f13,plain,
equivalent(sF2,sF3) = sF4,
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
~ is_a_theorem(sF4),
inference(definition_folding,[],[f3,f13,f11,f9,f7,f5]) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X1))
| is_a_theorem(equivalent(X2,X0)) ),
inference(resolution,[],[f2,f1]) ).
fof(f16,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(X2,X1),X0),X2)))),
inference(resolution,[],[f15,f2]) ).
fof(f37,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X1),X0),X2)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f16,f1]) ).
fof(f43,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X0),X2))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f37,f1]) ).
fof(f49,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X2,equivalent(X1,X0)))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f43,f15]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(resolution,[],[f43,f1]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[],[f49,f1]) ).
fof(f63,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(X3,X1)),X3),X0))
| ~ is_a_theorem(equivalent(X1,X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f56,f2]) ).
fof(f81,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(X1,equivalent(X2,X0)))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f50,f2]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(X1) ),
inference(resolution,[],[f50,f43]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(X2) ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f92,plain,
! [X2,X0] :
( is_a_theorem(equivalent(X0,X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(X2) ),
inference(condensation,[],[f91]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X1)
| is_a_theorem(equivalent(X2,X0)) ),
inference(resolution,[],[f92,f15]) ).
fof(f158,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X0),X2),X1),X2))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f139,f16]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X0),X2),X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X2) ),
inference(resolution,[],[f158,f1]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X0))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2) ),
inference(resolution,[],[f63,f191]) ).
fof(f237,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X2,equivalent(X3,X1)),X3))
| ~ is_a_theorem(equivalent(equivalent(X1,X2),X0))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f210,f2]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| ~ is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X1,equivalent(X3,X0)))
| is_a_theorem(X3) ),
inference(resolution,[],[f237,f1]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X3,X1))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f253,f92]) ).
fof(f266,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X3,equivalent(X1,equivalent(X2,X0)))))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X3) ),
inference(resolution,[],[f253,f2]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X3,X1)) ),
inference(duplicate_literal_removal,[],[f263]) ).
fof(f279,plain,
! [X2,X3,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,X3)))
| is_a_theorem(X2)
| ~ is_a_theorem(equivalent(X3,X1)) ),
inference(condensation,[],[f278]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X0)),X2)))
| is_a_theorem(X0) ),
inference(resolution,[],[f279,f2]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,X0)))
| is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f280,f81]) ).
fof(f327,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X0))
| ~ is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f296,f16]) ).
fof(f343,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X2,equivalent(X1,X0))) ),
inference(resolution,[],[f327,f15]) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),X1))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2) ),
inference(resolution,[],[f327,f1]) ).
fof(f359,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X0),equivalent(X1,X2))),
inference(resolution,[],[f343,f16]) ).
fof(f383,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X0))
| is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f359,f1]) ).
fof(f412,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[],[f383,f359]) ).
fof(f426,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X0)))),
inference(resolution,[],[f412,f343]) ).
fof(f434,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X1))
| is_a_theorem(X0) ),
inference(resolution,[],[f426,f279]) ).
fof(f480,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,X0))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f434,f327]) ).
fof(f485,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1))),
inference(resolution,[],[f434,f2]) ).
fof(f501,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),X2))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f485,f266]) ).
fof(f580,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X0)),X2))),
inference(resolution,[],[f480,f2]) ).
fof(f617,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,X0)))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f580,f279]) ).
fof(f618,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
inference(resolution,[],[f580,f139]) ).
fof(f642,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X0),equivalent(X2,X1))),
inference(resolution,[],[f617,f16]) ).
fof(f643,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
inference(resolution,[],[f617,f426]) ).
fof(f703,plain,
is_a_theorem(equivalent(equivalent(sF3,sF2),sF4)),
inference(superposition,[],[f643,f13]) ).
fof(f708,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X0),X2),X1),X2))),
inference(resolution,[],[f618,f16]) ).
fof(f739,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),X0),X2),X1))),
inference(resolution,[],[f642,f15]) ).
fof(f847,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),equivalent(X0,X2))),
inference(resolution,[],[f739,f618]) ).
fof(f851,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X1))
| ~ is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[],[f739,f279]) ).
fof(f924,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X2),X1))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2) ),
inference(resolution,[],[f851,f1]) ).
fof(f1071,plain,
( ~ is_a_theorem(equivalent(sF3,sF2))
| is_a_theorem(sF4) ),
inference(resolution,[],[f703,f1]) ).
fof(f1075,plain,
~ is_a_theorem(equivalent(sF3,sF2)),
inference(forward_subsumption_resolution,[],[f1071,f14]) ).
fof(f1140,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X2),X1)) ),
inference(resolution,[],[f347,f642]) ).
fof(f1179,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))),
inference(resolution,[],[f1140,f580]) ).
fof(f1215,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X1,equivalent(X2,X0))) ),
inference(resolution,[],[f1179,f1]) ).
fof(f1310,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X0))
| ~ is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f708,f279]) ).
fof(f1346,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X1),X0))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X2) ),
inference(resolution,[],[f1310,f1]) ).
fof(f1425,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(X2,X0),X1)) ),
inference(resolution,[],[f1346,f359]) ).
fof(f1509,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(X2,X0))),X2)),
inference(resolution,[],[f1425,f2]) ).
fof(f1540,plain,
! [X0,X1] :
( is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1509,f191]) ).
fof(f1706,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),X2))
| is_a_theorem(equivalent(X1,X2)) ),
inference(resolution,[],[f1540,f383]) ).
fof(f1719,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,X2)))
| ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X0) ),
inference(resolution,[],[f1540,f347]) ).
fof(f1844,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X2),X0))
| is_a_theorem(equivalent(X0,equivalent(X1,X1))) ),
inference(resolution,[],[f1706,f1540]) ).
fof(f1919,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X0,X2)))
| is_a_theorem(equivalent(X0,equivalent(X1,X1))) ),
inference(resolution,[],[f1844,f501]) ).
fof(f1921,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X2,X0)))
| is_a_theorem(equivalent(X0,equivalent(X1,X1))) ),
inference(resolution,[],[f1844,f851]) ).
fof(f2007,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X1),X0),equivalent(X2,X2))),
inference(resolution,[],[f1921,f16]) ).
fof(f2052,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X0))
| ~ is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X1,X3),X3))))
| is_a_theorem(X2) ),
inference(resolution,[],[f2007,f253]) ).
fof(f2065,plain,
! [X2,X3,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X1,X3),X3))))
| is_a_theorem(X2) ),
inference(forward_subsumption_resolution,[],[f2052,f412]) ).
fof(f4063,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X1)),X2)))
| is_a_theorem(X0) ),
inference(resolution,[],[f1719,f2]) ).
fof(f4114,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X2))),X0)),
inference(resolution,[],[f4063,f642]) ).
fof(f4169,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),equivalent(X2,equivalent(X2,X1)))),
inference(resolution,[],[f4114,f1215]) ).
fof(f4246,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,X2))))
| is_a_theorem(equivalent(X2,X0)) ),
inference(resolution,[],[f4169,f924]) ).
fof(f4395,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),equivalent(X2,X1)),X2))),
inference(resolution,[],[f4246,f2]) ).
fof(f4439,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X1,X0)),equivalent(X2,X2))),
inference(resolution,[],[f4395,f1919]) ).
fof(f4454,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X2,X1))),
inference(resolution,[],[f4395,f618]) ).
fof(f4459,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X1,X2),X2),X0))),
inference(resolution,[],[f4395,f2065]) ).
fof(f4602,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2)))
| is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f4454,f1346]) ).
fof(f4658,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X1),X2),equivalent(X2,X0))),
inference(resolution,[],[f4459,f480]) ).
fof(f4842,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X0))
| ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(X2,X1))))
| is_a_theorem(X3) ),
inference(resolution,[],[f4439,f253]) ).
fof(f4861,plain,
! [X2,X3,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(X2,X1))))
| is_a_theorem(X3) ),
inference(forward_subsumption_resolution,[],[f4842,f412]) ).
fof(f5294,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X1,X2)),X0),X2)),
inference(resolution,[],[f4602,f16]) ).
fof(f5342,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f5294,f347]) ).
fof(f5491,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X1),X2))
| is_a_theorem(equivalent(X2,X0)) ),
inference(resolution,[],[f4658,f1]) ).
fof(f6560,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(equivalent(X1,X2),X0)) ),
inference(resolution,[],[f5342,f5491]) ).
fof(f6592,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X1,X0),X2))),
inference(resolution,[],[f6560,f847]) ).
fof(f7971,plain,
! [X0] : is_a_theorem(equivalent(equivalent(X0,sF3),equivalent(equivalent(b,X0),a))),
inference(superposition,[],[f6592,f11]) ).
fof(f15179,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X2,X1),X0))),
inference(resolution,[],[f4861,f4395]) ).
fof(f15254,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X2,X1),X0)) ),
inference(resolution,[],[f15179,f1]) ).
fof(f15353,plain,
! [X0] : is_a_theorem(equivalent(equivalent(a,equivalent(b,X0)),equivalent(X0,sF3))),
inference(resolution,[],[f15254,f7971]) ).
fof(f16895,plain,
is_a_theorem(equivalent(equivalent(a,sF0),equivalent(c,sF3))),
inference(superposition,[],[f15353,f5]) ).
fof(f16897,plain,
is_a_theorem(equivalent(sF1,equivalent(c,sF3))),
inference(forward_demodulation,[],[f16895,f7]) ).
fof(f16904,plain,
is_a_theorem(equivalent(sF3,equivalent(sF1,c))),
inference(resolution,[],[f16897,f617]) ).
fof(f16917,plain,
is_a_theorem(equivalent(sF3,sF2)),
inference(forward_demodulation,[],[f16904,f9]) ).
fof(f16918,plain,
$false,
inference(forward_subsumption_resolution,[],[f16917,f1075]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL018-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 15:16:52 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 11.90/2.56 % (336779)Input is clausal, will run a generic CNF schedule.
% 11.90/2.56 % (336788)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2073541036:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.90/2.56 % (336788)Instruction limit reached!
% 11.90/2.56 % (336788)------------------------------
% 11.90/2.56 % (336788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.56 % (336788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.56 % (336788)CaDiCaL version: 2.1.3
% 11.90/2.56 % (336788)Termination reason: Instruction limit
% 11.90/2.56 % (336788)Termination phase: Saturation
% 11.90/2.56 % (336788)Time elapsed: 0.038 s
% 11.90/2.56 % (336788)Peak memory usage: 88 MB
% 11.90/2.56 % (336788)Instructions burned: 115 (million)
% 11.90/2.56 % (336790)dis-21_1_sil=8000:lcm=predicate:random_seed=2369252563:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 11.90/2.56 % (336786)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2884927781:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.90/2.56 % (336785)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1692566205:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.90/2.56 % (336787)lrs+10_1_sil=8000:sp=occurrence:random_seed=877165729:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.90/2.56 % (336784)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=1425186481:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.90/2.56 % (336789)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3139476820:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.90/2.56 % (336787)Instruction limit reached!
% 11.90/2.56 % (336787)------------------------------
% 11.90/2.56 % (336787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.56 % (336787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.56 % (336787)CaDiCaL version: 2.1.3
% 11.90/2.56 % (336787)Termination reason: Instruction limit
% 11.90/2.56 % (336787)Termination phase: Saturation
% 11.90/2.56 % (336787)Time elapsed: 0.066 s
% 11.90/2.56 % (336787)Peak memory usage: 88 MB
% 11.90/2.56 % (336787)Instructions burned: 107 (million)
% 11.90/2.56 % (336790)Instruction limit reached!
% 11.90/2.56 % (336790)------------------------------
% 11.90/2.56 % (336790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.56 % (336790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.56 % (336790)CaDiCaL version: 2.1.3
% 11.90/2.56 % (336790)Termination reason: Instruction limit
% 11.90/2.56 % (336790)Termination phase: Saturation
% 11.90/2.56 % (336790)Time elapsed: 0.072 s
% 11.90/2.56 % (336790)Peak memory usage: 89 MB
% 11.90/2.56 % (336790)Instructions burned: 118 (million)
% 11.90/2.56 % (336798)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3861782271:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 11.90/2.56 % (336798)Refutation not found, incomplete strategy
% 11.90/2.56 % (336798)------------------------------
% 11.90/2.56 % (336798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.56 % (336798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.56 % (336798)CaDiCaL version: 2.1.3
% 11.90/2.56 % (336798)Termination reason: Refutation not found, incomplete strategy
% 11.90/2.56 % (336798)Time elapsed: 0.0000 s
% 11.90/2.56 % (336798)Peak memory usage: 87 MB
% 11.90/2.56 % (336789)Instruction limit reached!
% 11.90/2.56 % (336789)------------------------------
% 11.90/2.56 % (336789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.90/2.56 % (336789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.90/2.56 % (336789)CaDiCaL version: 2.1.3
% 11.90/2.56 % (336789)Termination reason: Instruction limit
% 11.90/2.56 % (336789)Termination phase: Saturation
% 11.90/2.56 % (336789)Time elapsed: 0.125 s
% 11.90/2.56 % (336789)Peak memory usage: 89 MB
% 11.90/2.56 % (336789)Instructions burned: 180 (million)
% 11.90/2.56 % (336799)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2855050600:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 14.53/3.01 % (336800)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3034331285:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 14.53/3.01 % (336800)Refutation not found, incomplete strategy
% 14.53/3.01 % (336800)------------------------------
% 14.53/3.01 % (336800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336800)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336800)Termination reason: Refutation not found, incomplete strategy
% 14.53/3.01 % (336800)Time elapsed: 0.001 s
% 14.53/3.01 % (336800)Peak memory usage: 87 MB
% 14.53/3.01 % (336798)------------------------------
% 14.53/3.01 % (336798)------------------------------
% 14.53/3.01 % (336802)lrs+10_64_to=lpo:sil=8000:random_seed=2816649987:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 14.53/3.01 % (336799)Instruction limit reached!
% 14.53/3.01 % (336799)------------------------------
% 14.53/3.01 % (336799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336799)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336799)Termination reason: Instruction limit
% 14.53/3.01 % (336799)Termination phase: Saturation
% 14.53/3.01 % (336799)Time elapsed: 0.114 s
% 14.53/3.01 % (336799)Peak memory usage: 90 MB
% 14.53/3.01 % (336799)Instructions burned: 190 (million)
% 14.53/3.01 % (336802)Instruction limit reached!
% 14.53/3.01 % (336802)------------------------------
% 14.53/3.01 % (336802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336802)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336802)Termination reason: Instruction limit
% 14.53/3.01 % (336802)Termination phase: Saturation
% 14.53/3.01 % (336802)Time elapsed: 0.078 s
% 14.53/3.01 % (336802)Peak memory usage: 88 MB
% 14.53/3.01 % (336802)Instructions burned: 127 (million)
% 14.53/3.01 % (336805)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3753421947:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 14.53/3.01 % (336805)Instruction limit reached!
% 14.53/3.01 % (336805)------------------------------
% 14.53/3.01 % (336805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336805)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336805)Termination reason: Instruction limit
% 14.53/3.01 % (336805)Termination phase: Saturation
% 14.53/3.01 % (336805)Time elapsed: 0.073 s
% 14.53/3.01 % (336805)Peak memory usage: 89 MB
% 14.53/3.01 % (336805)Instructions burned: 196 (million)
% 14.53/3.01 % (336807)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1166060277:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 14.53/3.01 % (336800)------------------------------
% 14.53/3.01 % (336800)------------------------------
% 14.53/3.01 % (336808)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1253724145:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 14.53/3.01 % (336810)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=916977068:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 14.53/3.01 % (336807)Instruction limit reached!
% 14.53/3.01 % (336807)------------------------------
% 14.53/3.01 % (336807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336807)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336807)Termination reason: Instruction limit
% 14.53/3.01 % (336807)Termination phase: Saturation
% 14.53/3.01 % (336807)Time elapsed: 0.110 s
% 14.53/3.01 % (336807)Peak memory usage: 90 MB
% 14.53/3.01 % (336807)Instructions burned: 158 (million)
% 14.53/3.01 % (336810)Instruction limit reached!
% 14.53/3.01 % (336810)------------------------------
% 14.53/3.01 % (336810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336810)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336810)Termination reason: Instruction limit
% 14.53/3.01 % (336810)Termination phase: Saturation
% 14.53/3.01 % (336810)Time elapsed: 0.032 s
% 14.53/3.01 % (336810)Peak memory usage: 88 MB
% 14.53/3.01 % (336810)Instructions burned: 107 (million)
% 14.53/3.01 % (336812)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3375380544:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 14.53/3.01 % (336812)Refutation not found, incomplete strategy
% 14.53/3.01 % (336812)------------------------------
% 14.53/3.01 % (336812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336812)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336812)Termination reason: Refutation not found, incomplete strategy
% 14.53/3.01 % (336812)Time elapsed: 0.001 s
% 14.53/3.01 % (336812)Peak memory usage: 87 MB
% 14.53/3.01 % (336816)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2458867165:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 14.53/3.01 % (336815)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3734080977:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 14.53/3.01 % (336815)Instruction limit reached!
% 14.53/3.01 % (336815)------------------------------
% 14.53/3.01 % (336815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336815)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336815)Termination reason: Instruction limit
% 14.53/3.01 % (336815)Termination phase: Saturation
% 14.53/3.01 % (336815)Time elapsed: 0.132 s
% 14.53/3.01 % (336815)Peak memory usage: 90 MB
% 14.53/3.01 % (336815)Instructions burned: 242 (million)
% 14.53/3.01 % (336812)------------------------------
% 14.53/3.01 % (336812)------------------------------
% 14.53/3.01 % (336820)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1944172353:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 14.53/3.01 % (336821)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=630689974:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 14.53/3.01 % (336820)Instruction limit reached!
% 14.53/3.01 % (336820)------------------------------
% 14.53/3.01 % (336820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336820)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336820)Termination reason: Instruction limit
% 14.53/3.01 % (336820)Termination phase: Saturation
% 14.53/3.01 % (336820)Time elapsed: 0.090 s
% 14.53/3.01 % (336820)Peak memory usage: 90 MB
% 14.53/3.01 % (336820)Instructions burned: 134 (million)
% 14.53/3.01 % (336824)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1085422218:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 14.53/3.01 % (336821)Instruction limit reached!
% 14.53/3.01 % (336821)------------------------------
% 14.53/3.01 % (336821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336821)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336821)Termination reason: Instruction limit
% 14.53/3.01 % (336821)Termination phase: Saturation
% 14.53/3.01 % (336821)Time elapsed: 0.286 s
% 14.53/3.01 % (336821)Peak memory usage: 91 MB
% 14.53/3.01 % (336821)Instructions burned: 499 (million)
% 14.53/3.01 % (336824)Instruction limit reached!
% 14.53/3.01 % (336824)------------------------------
% 14.53/3.01 % (336824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336824)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336824)Termination reason: Instruction limit
% 14.53/3.01 % (336824)Termination phase: Saturation
% 14.53/3.01 % (336824)Time elapsed: 0.118 s
% 14.53/3.01 % (336824)Peak memory usage: 89 MB
% 14.53/3.01 % (336824)Instructions burned: 191 (million)
% 14.53/3.01 % (336826)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1385743897:i=264:kws=precedence:fsr=off_2984 on theBenchmark for (2984ds/264Mi)
% 14.53/3.01 % (336827)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=437287601:cond=on:i=156:bs=on:gtg=exists_all:er=known_2984 on theBenchmark for (2984ds/156Mi)
% 14.53/3.01 % (336827)Instruction limit reached!
% 14.53/3.01 % (336827)------------------------------
% 14.53/3.01 % (336827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336827)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336827)Termination reason: Instruction limit
% 14.53/3.01 % (336827)Termination phase: Saturation
% 14.53/3.01 % (336827)Time elapsed: 0.103 s
% 14.53/3.01 % (336827)Peak memory usage: 89 MB
% 14.53/3.01 % (336827)Instructions burned: 157 (million)
% 14.53/3.01 % (336826)Instruction limit reached!
% 14.53/3.01 % (336826)------------------------------
% 14.53/3.01 % (336826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.53/3.01 % (336826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.53/3.01 % (336826)CaDiCaL version: 2.1.3
% 14.53/3.01 % (336826)Termination reason: Instruction limit
% 14.53/3.01 % (336826)Termination phase: Saturation
% 14.53/3.01 % (336826)Time elapsed: 0.167 s
% 14.53/3.01 % (336826)Peak memory usage: 91 MB
% 14.53/3.01 % (336826)Instructions burned: 264 (million)
% 14.53/3.01 % (336831)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3295784522:i=537:av=off:ss=included_2981 on theBenchmark for (2981ds/537Mi)
% 14.53/3.01 % (336830)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1510420713:i=3256:kws=precedence:bd=preordered:av=off_2981 on theBenchmark for (2981ds/3256Mi)
% 14.53/3.01 % (336816)First to succeed.
% 14.53/3.01 % (336816)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-336779"
% 14.53/3.01 % (336816)Refutation found. Thanks to Tanya!
% 14.53/3.01 % SZS status Unsatisfiable for theBenchmark
% 14.53/3.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/3.21 % (336816)------------------------------
% 0.16/3.21 % (336816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/3.21 % (336816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/3.21 % (336816)CaDiCaL version: 2.1.3
% 0.16/3.21 % (336816)Termination reason: Refutation
% 0.16/3.21 % (336816)Time elapsed: 1.090 s
% 0.16/3.21 % (336816)Peak memory usage: 147 MB
% 0.16/3.21 % (336816)Instructions burned: 3234 (million)
% 0.16/3.21 % (336816)------------------------------
% 0.16/3.21 % (336816)------------------------------
% 0.16/3.21 % (336779)Success in time 2.164 s
% 0.16/3.21 % Vampire exiting
%------------------------------------------------------------------------------