%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG087+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 09:21:27 AM UTC 2026
% Result : Theorem 0.18s 0.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 24
% Syntax : Number of formulae : 174 ( 32 unt; 20 def)
% Number of atoms : 842 ( 605 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 848 ( 180 ~; 315 |; 331 &)
% ( 20 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e14
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e10
& op1(e13,e14) = e11
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e12
& op1(e14,e14) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e20
& op2(e21,e22) = e24
& op2(e21,e23) = e22
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e23
& op2(e22,e23) = e20
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e21
& op2(e23,e23) = e24
& op2(e23,e24) = e20
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( 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(e10,e14)) = op2(h(e10),h(e14))
& 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(e11,e14)) = op2(h(e11),h(e14))
& 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(e12,e14)) = op2(h(e12),h(e14))
& 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))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& 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(e20,e24)) = op1(j(e20),j(e24))
& 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(e21,e24)) = op1(j(e21),j(e24))
& 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(e22,e24)) = op1(j(e22),j(e24))
& 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))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( 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(e10,e14)) = op2(h(e10),h(e14))
& 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(e11,e14)) = op2(h(e11),h(e14))
& 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(e12,e14)) = op2(h(e12),h(e14))
& 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))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& 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(e20,e24)) = op1(j(e20),j(e24))
& 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(e21,e24)) = op1(j(e21),j(e24))
& 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(e22,e24)) = op1(j(e22),j(e24))
& 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))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
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(e10,e14)) = op2(h(e10),h(e14))
& 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(e11,e14)) = op2(h(e11),h(e14))
& 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(e12,e14)) = op2(h(e12),h(e14))
& 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))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& 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(e20,e24)) = op1(j(e20),j(e24))
& 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(e21,e24)) = op1(j(e21),j(e24))
& 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(e22,e24)) = op1(j(e22),j(e24))
& 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))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
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(e10,e14)) = op2(h(e10),h(e14))
& 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(e11,e14)) = op2(h(e11),h(e14))
& 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(e12,e14)) = op2(h(e12),h(e14))
& 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))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& 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(e20,e24)) = op1(j(e20),j(e24))
& 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(e21,e24)) = op1(j(e21),j(e24))
& 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(e22,e24)) = op1(j(e22),j(e24))
& 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))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(flattening,[],[f8]) ).
fof(f21,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e10 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f59,plain,
e14 = op1(e14,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f64,plain,
e13 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f67,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e12 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e11 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e22 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e20 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f105,plain,
( e10 = j(e24)
| e11 = j(e24)
| e12 = j(e24)
| e13 = j(e24)
| e14 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f120,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f127,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f174,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f176,definition,
( spl0_1
<=> e14 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f178,plain,
( e14 = j(e24)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl0_2
<=> e13 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f182,plain,
( e13 = j(e24)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f184,definition,
( spl0_3
<=> e12 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f186,plain,
( e12 = j(e24)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_4
<=> e11 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f190,plain,
( e11 = j(e24)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f192,definition,
( spl0_5
<=> e10 = j(e24) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f194,plain,
( e10 = j(e24)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f105,f192,f188,f184,f180,f176]) ).
fof(f234,definition,
( spl0_15
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f236,plain,
( e10 = j(e22)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f260,definition,
( spl0_21
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f262,plain,
( e14 = j(e20)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f264,definition,
( spl0_22
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f266,plain,
( e13 = j(e20)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f268,definition,
( spl0_23
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f270,plain,
( e12 = j(e20)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f272,definition,
( spl0_24
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f274,plain,
( e11 = j(e20)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f281,definition,
( spl0_26
<=> e24 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f283,plain,
( e24 = h(e14)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f297,definition,
( spl0_30
<=> e20 = h(e14) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f299,plain,
( e20 = h(e14)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f302,definition,
( spl0_31
<=> e24 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f304,plain,
( e24 = h(e13)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f318,definition,
( spl0_35
<=> e20 = h(e13) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f320,plain,
( e20 = h(e13)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f323,definition,
( spl0_36
<=> e24 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f325,plain,
( e24 = h(e12)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f339,definition,
( spl0_40
<=> e20 = h(e12) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f341,plain,
( e20 = h(e12)
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f344,definition,
( spl0_41
<=> e24 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f346,plain,
( e24 = h(e11)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f360,definition,
( spl0_45
<=> e20 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f362,plain,
( e20 = h(e11)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f365,definition,
( spl0_46
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_46])],[avatar_definition]) ).
fof(f367,plain,
( e24 = h(e10)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f373,definition,
( spl0_48
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f375,plain,
( e22 = h(e10)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f386,plain,
( e24 = h(e13)
| ~ spl0_2 ),
inference(superposition,[],[f120,f182]) ).
fof(f436,plain,
( e20 = h(e14)
| ~ spl0_21 ),
inference(superposition,[],[f124,f262]) ).
fof(f437,plain,
( spl0_30
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f436,f260,f297]) ).
fof(f439,plain,
( e20 = h(e13)
| ~ spl0_22 ),
inference(superposition,[],[f124,f266]) ).
fof(f440,plain,
( spl0_35
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f439,f264,f318]) ).
fof(f464,plain,
( e20 = e24
| ~ spl0_31
| ~ spl0_35 ),
inference(superposition,[],[f304,f320]) ).
fof(f1114,plain,
( e24 = h(e12)
| ~ spl0_3 ),
inference(superposition,[],[f120,f186]) ).
fof(f1128,plain,
( e24 = h(e10)
| ~ spl0_5 ),
inference(superposition,[],[f120,f194]) ).
fof(f1544,plain,
( spl0_46
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1128,f192,f365]) ).
fof(f1567,plain,
( spl0_31
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f386,f180,f302]) ).
fof(f1596,plain,
( op2(e24,e24) = h(op1(e10,e10))
| ~ spl0_46 ),
inference(superposition,[],[f174,f367]) ).
fof(f1769,plain,
( e22 = h(op1(e10,e10))
| ~ spl0_46 ),
inference(superposition,[],[f1596,f80]) ).
fof(f1770,plain,
j(e22) = op1(j(e24),j(e24)),
inference(superposition,[],[f125,f80]) ).
fof(f1771,plain,
( e22 = h(e10)
| ~ spl0_46 ),
inference(superposition,[],[f1769,f79]) ).
fof(f1773,plain,
( spl0_48
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1771,f365,f373]) ).
fof(f1775,plain,
( e24 = h(e11)
| ~ spl0_4 ),
inference(superposition,[],[f120,f190]) ).
fof(f1779,plain,
( spl0_41
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1775,f188,f344]) ).
fof(f1830,plain,
( op1(e13,e13) = j(e22)
| ~ spl0_2 ),
inference(superposition,[],[f1770,f182]) ).
fof(f1832,plain,
( e10 = j(e22)
| ~ spl0_2 ),
inference(superposition,[],[f61,f1830]) ).
fof(f1833,plain,
( spl0_15
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f1832,f180,f234]) ).
fof(f1835,plain,
( e24 = h(e14)
| ~ spl0_1 ),
inference(superposition,[],[f120,f178]) ).
fof(f1840,plain,
( spl0_26
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1835,f176,f281]) ).
fof(f1841,plain,
( spl0_36
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f1114,f184,f323]) ).
fof(f1847,plain,
( op1(e11,e11) = j(e22)
| ~ spl0_4 ),
inference(superposition,[],[f1770,f190]) ).
fof(f1942,plain,
( e10 = j(e22)
| ~ spl0_4 ),
inference(superposition,[],[f73,f1847]) ).
fof(f1943,plain,
( spl0_15
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1942,f188,f234]) ).
fof(f1987,plain,
( e20 = h(e11)
| ~ spl0_24 ),
inference(superposition,[],[f124,f274]) ).
fof(f2085,plain,
( e22 = e24
| ~ spl0_46
| ~ spl0_48 ),
inference(superposition,[],[f367,f375]) ).
fof(f2185,plain,
( e22 != e22
| ~ spl0_46
| ~ spl0_48 ),
inference(superposition,[],[f21,f2085]) ).
fof(f2210,plain,
( $false
| ~ spl0_46
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2185]) ).
fof(f2211,plain,
( ~ spl0_46
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2210]) ).
fof(f2364,plain,
( spl0_45
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1987,f272,f360]) ).
fof(f2425,plain,
j(e20) = op1(j(e24),j(e22)),
inference(superposition,[],[f127,f82]) ).
fof(f2426,plain,
( j(e20) = op1(e13,j(e22))
| ~ spl0_2 ),
inference(superposition,[],[f2425,f182]) ).
fof(f2427,plain,
( j(e20) = op1(j(e24),e10)
| ~ spl0_15 ),
inference(superposition,[],[f2425,f236]) ).
fof(f2428,plain,
( op1(e13,e10) = j(e20)
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f2426,f236]) ).
fof(f2431,plain,
( e13 = j(e20)
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f64,f2428]) ).
fof(f2432,plain,
( spl0_22
| ~ spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f2431,f234,f180,f264]) ).
fof(f2545,plain,
( e20 != e20
| ~ spl0_31
| ~ spl0_35 ),
inference(superposition,[],[f26,f464]) ).
fof(f2574,plain,
( $false
| ~ spl0_31
| ~ spl0_35 ),
inference(trivial_inequality_removal,[],[f2545]) ).
fof(f2575,plain,
( ~ spl0_31
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f2574]) ).
fof(f2580,plain,
( op1(e14,e14) = j(e22)
| ~ spl0_1 ),
inference(superposition,[],[f1770,f178]) ).
fof(f2583,plain,
( op1(e14,e10) = j(e20)
| ~ spl0_1
| ~ spl0_15 ),
inference(superposition,[],[f2427,f178]) ).
fof(f2651,plain,
( e20 = h(e12)
| ~ spl0_23 ),
inference(superposition,[],[f124,f270]) ).
fof(f2655,plain,
( spl0_40
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f2651,f268,f339]) ).
fof(f2849,plain,
( e10 = j(e22)
| ~ spl0_1 ),
inference(superposition,[],[f2580,f55]) ).
fof(f2859,plain,
( e14 = j(e20)
| ~ spl0_1
| ~ spl0_15 ),
inference(superposition,[],[f59,f2583]) ).
fof(f2860,plain,
( spl0_21
| ~ spl0_1
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f2859,f234,f176,f260]) ).
fof(f2878,plain,
( e20 = e24
| ~ spl0_26
| ~ spl0_30 ),
inference(superposition,[],[f283,f299]) ).
fof(f2949,plain,
( e20 != e20
| ~ spl0_26
| ~ spl0_30 ),
inference(superposition,[],[f26,f2878]) ).
fof(f2981,plain,
( $false
| ~ spl0_26
| ~ spl0_30 ),
inference(trivial_inequality_removal,[],[f2949]) ).
fof(f2982,plain,
( ~ spl0_26
| ~ spl0_30 ),
inference(avatar_contradiction_clause,[],[f2981]) ).
fof(f2994,plain,
( op1(e11,e10) = j(e20)
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f2427,f190]) ).
fof(f3052,plain,
( e20 = e24
| ~ spl0_36
| ~ spl0_40 ),
inference(superposition,[],[f325,f341]) ).
fof(f3109,plain,
( e11 = j(e20)
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f74,f2994]) ).
fof(f3110,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f3109,f234,f188,f272]) ).
fof(f3115,plain,
( op1(e12,e12) = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f1770,f186]) ).
fof(f3118,plain,
( op1(e12,e10) = j(e20)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f2427,f186]) ).
fof(f3162,plain,
( e20 != e20
| ~ spl0_36
| ~ spl0_40 ),
inference(superposition,[],[f26,f3052]) ).
fof(f3194,plain,
( $false
| ~ spl0_36
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f3162]) ).
fof(f3195,plain,
( ~ spl0_36
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f3194]) ).
fof(f3251,plain,
( e10 = j(e22)
| ~ spl0_3 ),
inference(superposition,[],[f3115,f67]) ).
fof(f3257,plain,
( e12 = j(e20)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f69,f3118]) ).
fof(f3258,plain,
( spl0_23
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f3257,f234,f184,f268]) ).
fof(f3306,plain,
( e20 = e24
| ~ spl0_41
| ~ spl0_45 ),
inference(superposition,[],[f362,f346]) ).
fof(f3414,plain,
( e20 != e20
| ~ spl0_41
| ~ spl0_45 ),
inference(superposition,[],[f26,f3306]) ).
fof(f3446,plain,
( $false
| ~ spl0_41
| ~ spl0_45 ),
inference(trivial_inequality_removal,[],[f3414]) ).
fof(f3447,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f3446]) ).
fof(f3449,plain,
( spl0_15
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f2849,f176,f234]) ).
fof(f3450,plain,
( spl0_15
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f3251,f184,f234]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f195]) ).
cnf(s22,plain,
( ~ spl0_21
| spl0_30 ),
inference(sat_conversion,[],[f437]) ).
cnf(s23,plain,
( ~ spl0_22
| spl0_35 ),
inference(sat_conversion,[],[f440]) ).
cnf(s67,plain,
( ~ spl0_5
| spl0_46 ),
inference(sat_conversion,[],[f1544]) ).
cnf(s70,plain,
( ~ spl0_2
| spl0_31 ),
inference(sat_conversion,[],[f1567]) ).
cnf(s71,plain,
( ~ spl0_46
| spl0_48 ),
inference(sat_conversion,[],[f1773]) ).
cnf(s76,plain,
( ~ spl0_4
| spl0_41 ),
inference(sat_conversion,[],[f1779]) ).
cnf(s78,plain,
( ~ spl0_2
| spl0_15 ),
inference(sat_conversion,[],[f1833]) ).
cnf(s82,plain,
( ~ spl0_1
| spl0_26 ),
inference(sat_conversion,[],[f1840]) ).
cnf(s83,plain,
( ~ spl0_3
| spl0_36 ),
inference(sat_conversion,[],[f1841]) ).
cnf(s88,plain,
( ~ spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f1943]) ).
cnf(s105,plain,
( ~ spl0_46
| ~ spl0_48 ),
inference(sat_conversion,[],[f2211]) ).
cnf(s117,plain,
( ~ spl0_24
| spl0_45 ),
inference(sat_conversion,[],[f2364]) ).
cnf(s120,plain,
( ~ spl0_2
| ~ spl0_15
| spl0_22 ),
inference(sat_conversion,[],[f2432]) ).
cnf(s138,plain,
( ~ spl0_31
| ~ spl0_35 ),
inference(sat_conversion,[],[f2575]) ).
cnf(s144,plain,
( ~ spl0_23
| spl0_40 ),
inference(sat_conversion,[],[f2655]) ).
cnf(s156,plain,
( ~ spl0_1
| ~ spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f2860]) ).
cnf(s164,plain,
( ~ spl0_26
| ~ spl0_30 ),
inference(sat_conversion,[],[f2982]) ).
cnf(s177,plain,
( ~ spl0_4
| ~ spl0_15
| spl0_24 ),
inference(sat_conversion,[],[f3110]) ).
cnf(s184,plain,
( ~ spl0_36
| ~ spl0_40 ),
inference(sat_conversion,[],[f3195]) ).
cnf(s189,plain,
( ~ spl0_3
| ~ spl0_15
| spl0_23 ),
inference(sat_conversion,[],[f3258]) ).
cnf(s204,plain,
( ~ spl0_41
| ~ spl0_45 ),
inference(sat_conversion,[],[f3447]) ).
cnf(s208,plain,
( ~ spl0_1
| spl0_15 ),
inference(sat_conversion,[],[f3449]) ).
cnf(s219,plain,
( ~ spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f3450]) ).
cnf(s229,plain,
~ spl0_46,
inference(rat,[],[s71,s105]) ).
cnf(s230,plain,
~ spl0_5,
inference(rat,[],[s67,s229]) ).
cnf(s231,plain,
~ spl0_4,
inference(rat,[],[s117,s204,s177,s76,s88]) ).
cnf(s233,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(rat,[],[s184,s144,s83,s189]) ).
cnf(s234,plain,
~ spl0_3,
inference(rat,[],[s233,s219]) ).
cnf(s236,plain,
~ spl0_2,
inference(rat,[],[s23,s138,s120,s70,s78]) ).
cnf(s238,plain,
spl0_1,
inference(rat,[],[s1,s231,s230,s234,s236]) ).
cnf(s239,plain,
spl0_15,
inference(rat,[],[s208,s238]) ).
cnf(s240,plain,
spl0_26,
inference(rat,[],[s82,s238]) ).
cnf(s241,plain,
spl0_21,
inference(rat,[],[s156,s239,s238]) ).
cnf(s247,plain,
~ spl0_30,
inference(rat,[],[s164,s240]) ).
cnf(s252,plain,
$false,
inference(rat,[],[s22,s247,s241]) ).
fof(f3451,plain,
$false,
inference(avatar_sat_refutation,[],[s252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG087+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n020.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 19:26:35 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.30 % (451231)Will run a generic schedule for satisfiability detection.
% 0.18/0.30 % (451242)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3717947302:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.30 % (451237)% WARNING: option uhcvi not known.
% 0.18/0.30 % (451236)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3521574544_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.30 % (451237)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1251403304:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.30 % (451239)dis+10_1_sil=32000:sp=arity:random_seed=2296234506:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.30 % (451238)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3077955873:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.30 % (451240)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=401180061:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.30 % (451241)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=530030341:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.30 % Detected minimum model sizes of [10]
% 0.18/0.30 % Detected maximum model sizes of [max]
% 0.18/0.30 % TRYING [10]
% 0.18/0.30 % (451242) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-451231-451242"...
% 0.18/0.30 % (451242)...printing done.
% 0.18/0.30 % (451242)Refutation found. Thanks to Tanya!
% 0.18/0.30 % SZS status Theorem for theBenchmark
% 0.18/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.30 % (451242)------------------------------
% 0.18/0.30 % (451242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.30 % (451242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.30 % (451242)CaDiCaL version: 2.1.3
% 0.18/0.30 % (451242)Termination reason: Refutation
% 0.18/0.30 % (451242)Time elapsed: 0.041 s
% 0.18/0.30 % (451242)Peak memory usage: 13 MB
% 0.18/0.30 % (451242)Instructions burned: 138 (million)
% 0.18/0.30 % (451231)Success in time 0.073 s
% 0.18/0.30 % Vampire exiting
%------------------------------------------------------------------------------