%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG042+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:08:15 AM UTC 2026
% Result : Theorem 0.64s 0.95s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of formulae : 55 ( 19 unt; 0 def)
% Number of atoms : 439 ( 438 equ)
% Maximal formula atoms : 72 ( 7 avg)
% Number of connectives : 395 ( 11 ~; 161 |; 221 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e13
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e11
& op1(e13,e13) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e21,e20) = e21
& op2(e21,e21) = e23
& op2(e21,e22) = e20
& op2(e21,e23) = e22
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e21
& op2(e23,e23) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
( e13 = j(e23)
| e11 = j(e23)
| e12 = j(e23)
| e10 = j(e23) ),
inference(cnf_transformation,[],[f9]) ).
fof(f11,plain,
( e13 = j(e22)
| e11 = j(e22)
| e12 = j(e22)
| e10 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f31,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f83,plain,
e20 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f86,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f91,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f96,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f101,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f102,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f107,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f119,plain,
( op1(e13,e13) = j(op2(e23,e23))
| e11 = j(e23)
| e12 = j(e23)
| e10 = j(e23) ),
inference(superposition,[],[f26,f10]) ).
fof(f132,plain,
( op1(e13,e13) = j(op2(e22,e22))
| e11 = j(e22)
| e12 = j(e22)
| e10 = j(e22) ),
inference(superposition,[],[f31,f11]) ).
fof(f610,plain,
( e10 = j(op2(e23,e23))
| e11 = j(e23)
| e12 = j(e23)
| e10 = j(e23) ),
inference(forward_demodulation,[],[f119,f86]) ).
fof(f612,plain,
( e10 = j(op2(e22,e22))
| e11 = j(e22)
| e12 = j(e22)
| e10 = j(e22) ),
inference(forward_demodulation,[],[f132,f86]) ).
fof(f617,plain,
( e12 = j(e23)
| e11 = j(e23)
| e10 = j(e20)
| e10 = j(e23) ),
inference(superposition,[],[f610,f102]) ).
fof(f623,plain,
( op1(e12,e12) = j(op2(e23,e23))
| e11 = j(e23)
| e10 = j(e20)
| e10 = j(e23) ),
inference(superposition,[],[f26,f617]) ).
fof(f637,plain,
( op1(e12,e12) = j(e20)
| e11 = j(e23)
| e10 = j(e20)
| e10 = j(e23) ),
inference(forward_demodulation,[],[f623,f102]) ).
fof(f639,plain,
( e10 = j(e20)
| e11 = j(e23)
| e10 = j(e20)
| e10 = j(e23) ),
inference(forward_demodulation,[],[f637,f91]) ).
fof(f640,plain,
( e11 = j(e23)
| e10 = j(e20)
| e10 = j(e23) ),
inference(duplicate_literal_removal,[],[f639]) ).
fof(f648,plain,
( op1(e11,e11) = j(op2(e23,e23))
| e10 = j(e20)
| e10 = j(e23) ),
inference(superposition,[],[f26,f640]) ).
fof(f663,plain,
( op1(e11,e11) = j(e20)
| e10 = j(e20)
| e10 = j(e23) ),
inference(forward_demodulation,[],[f648,f102]) ).
fof(f666,plain,
( e10 = j(e20)
| e10 = j(e20)
| e10 = j(e23) ),
inference(forward_demodulation,[],[f663,f96]) ).
fof(f667,plain,
( e10 = j(e23)
| e10 = j(e20) ),
inference(duplicate_literal_removal,[],[f666]) ).
fof(f677,plain,
( op1(e10,e10) = j(op2(e23,e23))
| e10 = j(e20) ),
inference(superposition,[],[f26,f667]) ).
fof(f693,plain,
( op1(e10,e10) = j(e20)
| e10 = j(e20) ),
inference(forward_demodulation,[],[f677,f102]) ).
fof(f697,plain,
( e10 = j(e20)
| e10 = j(e20) ),
inference(forward_demodulation,[],[f693,f101]) ).
fof(f698,plain,
e10 = j(e20),
inference(duplicate_literal_removal,[],[f697]) ).
fof(f700,plain,
e20 = h(e10),
inference(superposition,[],[f25,f698]) ).
fof(f740,plain,
( e12 = j(e22)
| e11 = j(e22)
| e10 = j(e23)
| e10 = j(e22) ),
inference(superposition,[],[f612,f107]) ).
fof(f823,plain,
( op1(e12,e12) = j(op2(e22,e22))
| e11 = j(e22)
| e10 = j(e23)
| e10 = j(e22) ),
inference(superposition,[],[f31,f740]) ).
fof(f839,plain,
( op1(e12,e12) = j(e23)
| e11 = j(e22)
| e10 = j(e23)
| e10 = j(e22) ),
inference(forward_demodulation,[],[f823,f107]) ).
fof(f846,plain,
( e10 = j(e23)
| e11 = j(e22)
| e10 = j(e23)
| e10 = j(e22) ),
inference(forward_demodulation,[],[f839,f91]) ).
fof(f847,plain,
( e11 = j(e22)
| e10 = j(e23)
| e10 = j(e22) ),
inference(duplicate_literal_removal,[],[f846]) ).
fof(f855,plain,
( op1(e11,e11) = j(op2(e22,e22))
| e10 = j(e23)
| e10 = j(e22) ),
inference(superposition,[],[f31,f847]) ).
fof(f871,plain,
( op1(e11,e11) = j(e23)
| e10 = j(e23)
| e10 = j(e22) ),
inference(forward_demodulation,[],[f855,f107]) ).
fof(f878,plain,
( e10 = j(e23)
| e10 = j(e23)
| e10 = j(e22) ),
inference(forward_demodulation,[],[f871,f96]) ).
fof(f879,plain,
( e10 = j(e23)
| e10 = j(e22) ),
inference(duplicate_literal_removal,[],[f878]) ).
fof(f889,plain,
( e23 = h(e10)
| e10 = j(e22) ),
inference(superposition,[],[f22,f879]) ).
fof(f912,plain,
( e20 = e23
| e10 = j(e22) ),
inference(forward_demodulation,[],[f889,f700]) ).
fof(f926,plain,
e10 = j(e22),
inference(forward_subsumption_resolution,[],[f912,f83]) ).
fof(f946,plain,
e22 = h(e10),
inference(superposition,[],[f23,f926]) ).
fof(f967,plain,
e20 = e22,
inference(forward_demodulation,[],[f946,f700]) ).
fof(f975,plain,
$false,
inference(forward_subsumption_resolution,[],[f967,f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG042+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 19:23:32 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.64/0.95 % (2928741)Detected formulas, will run a generic FOF schedule.
% 0.64/0.95 % (2928750)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3046608406:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.64/0.95 % (2928750)First to succeed.
% 0.64/0.95 % (2928750)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2928741"
% 0.64/0.95 % (2928752)dis-21_1_sil=8000:lcm=predicate:random_seed=2284404770: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)
% 0.64/0.95 % (2928752)Refutation not found, incomplete strategy
% 0.64/0.95 % (2928752)------------------------------
% 0.64/0.95 % (2928752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.64/0.95 % (2928752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.95 % (2928752)CaDiCaL version: 2.1.3
% 0.64/0.95 % (2928752)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.95 % (2928752)Time elapsed: 0.003 s
% 0.64/0.95 % (2928752)Peak memory usage: 88 MB
% 0.64/0.95 % (2928752)Instructions burned: 5 (million)
% 0.64/0.95 % (2928747)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=1920490752:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.64/0.95 % (2928749)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3673536691:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.64/0.95 % (2928751)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3255893859:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.64/0.95 % (2928748)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=1425092462:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.64/0.95 % (2928746)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=3681070465:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.64/0.95 % (2928749)Refutation not found, incomplete strategy
% 0.64/0.95 % (2928749)------------------------------
% 0.64/0.95 % (2928749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.64/0.95 % (2928749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.64/0.95 % (2928749)CaDiCaL version: 2.1.3
% 0.64/0.95 % (2928749)Termination reason: Refutation not found, incomplete strategy
% 0.64/0.95 % (2928749)Time elapsed: 0.028 s
% 0.64/0.95 % (2928749)Peak memory usage: 89 MB
% 0.64/0.95 % (2928749)Instructions burned: 50 (million)
% 0.64/0.95 % (2928751)Also succeeded, but the first one will report.
% 0.64/0.95 % (2928750)Refutation found. Thanks to Tanya!
% 0.64/0.95 % SZS status Theorem for theBenchmark
% 0.64/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 2.60/1.04 % (2928750)------------------------------
% 2.60/1.04 % (2928750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.60/1.04 % (2928750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.60/1.04 % (2928750)CaDiCaL version: 2.1.3
% 2.60/1.04 % (2928750)Termination reason: Refutation
% 2.60/1.04 % (2928750)Time elapsed: 0.016 s
% 2.60/1.04 % (2928750)Peak memory usage: 88 MB
% 2.60/1.04 % (2928750)Instructions burned: 63 (million)
% 2.60/1.04 % (2928750)------------------------------
% 2.60/1.04 % (2928750)------------------------------
% 2.60/1.04 % (2928741)Success in time 0.287 s
% 2.60/1.04 % Vampire exiting
%------------------------------------------------------------------------------