%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG031+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:20:10 AM UTC 2026
% Result : Theorem 1.01s 0.40s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 31
% Syntax : Number of formulae : 241 ( 71 unt; 26 def)
% Number of atoms : 1199 ( 886 equ)
% Maximal formula atoms : 156 ( 4 avg)
% Number of connectives : 1210 ( 252 ~; 454 |; 476 &)
% ( 26 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 96 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e10 != e15
& e11 != e12
& e11 != e13
& e11 != e14
& e11 != e15
& e12 != e13
& e12 != e14
& e12 != e15
& e13 != e14
& e13 != e15
& e14 != e15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e20 != e25
& e21 != e22
& e21 != e23
& e21 != e24
& e21 != e25
& e22 != e23
& e22 != e24
& e22 != e25
& e23 != e24
& e23 != e25
& e24 != e25 ),
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(e10,e14) = e14
& op1(e10,e15) = e15
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e14
& op1(e11,e13) = e15
& op1(e11,e14) = e12
& op1(e11,e15) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e13
& op1(e12,e13) = e10
& op1(e12,e14) = e15
& op1(e12,e15) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e15
& op1(e13,e12) = e10
& op1(e13,e13) = e12
& op1(e13,e14) = e11
& op1(e13,e15) = e14
& op1(e14,e10) = e14
& op1(e14,e11) = e12
& op1(e14,e12) = e15
& op1(e14,e13) = e11
& op1(e14,e14) = e13
& op1(e14,e15) = e10
& op1(e15,e10) = e15
& op1(e15,e11) = e13
& op1(e15,e12) = e11
& op1(e15,e13) = e14
& op1(e15,e14) = e10
& op1(e15,e15) = e12 ),
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(e20,e24) = e24
& op2(e20,e25) = e25
& op2(e21,e20) = e21
& op2(e21,e21) = e20
& op2(e21,e22) = e23
& op2(e21,e23) = e22
& op2(e21,e24) = e25
& op2(e21,e25) = e24
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e20
& op2(e22,e23) = e25
& op2(e22,e24) = e21
& op2(e22,e25) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e25
& op2(e23,e22) = e21
& op2(e23,e23) = e24
& op2(e23,e24) = e20
& op2(e23,e25) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e22
& op2(e24,e22) = e25
& op2(e24,e23) = e20
& op2(e24,e24) = e23
& op2(e24,e25) = e21
& op2(e25,e20) = e25
& op2(e25,e21) = e23
& op2(e25,e22) = e24
& op2(e25,e23) = e21
& op2(e25,e24) = e22
& op2(e25,e25) = 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(e10) = e24
| h(e10) = e25 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15 ) )
=> ~ ( 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(e10,e15)) = op2(h(e10),h(e15))
& 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(e11,e15)) = op2(h(e11),h(e15))
& 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(e12,e15)) = op2(h(e12),h(e15))
& 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(e13,e15)) = op2(h(e13),h(e15))
& 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))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& 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(e20,e25)) = op1(j(e20),j(e25))
& 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(e21,e25)) = op1(j(e21),j(e25))
& 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(e22,e25)) = op1(j(e22),j(e25))
& 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(e23,e25)) = op1(j(e23),j(e25))
& 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))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15 ) ),
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(e10) = e24
| h(e10) = e25 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15 ) )
=> ~ ( 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(e10,e15)) = op2(h(e10),h(e15))
& 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(e11,e15)) = op2(h(e11),h(e15))
& 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(e12,e15)) = op2(h(e12),h(e15))
& 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(e13,e15)) = op2(h(e13),h(e15))
& 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))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& 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(e20,e25)) = op1(j(e20),j(e25))
& 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(e21,e25)) = op1(j(e21),j(e25))
& 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(e22,e25)) = op1(j(e22),j(e25))
& 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(e23,e25)) = op1(j(e23),j(e25))
& 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))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15 ) ),
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(e10,e15)) = op2(h(e10),h(e15))
& 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(e11,e15)) = op2(h(e11),h(e15))
& 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(e12,e15)) = op2(h(e12),h(e15))
& 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(e13,e15)) = op2(h(e13),h(e15))
& 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))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& 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(e20,e25)) = op1(j(e20),j(e25))
& 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(e21,e25)) = op1(j(e21),j(e25))
& 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(e22,e25)) = op1(j(e22),j(e25))
& 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(e23,e25)) = op1(j(e23),j(e25))
& 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))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15 ) ),
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(e10,e15)) = op2(h(e10),h(e15))
& 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(e11,e15)) = op2(h(e11),h(e15))
& 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(e12,e15)) = op2(h(e12),h(e15))
& 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(e13,e15)) = op2(h(e13),h(e15))
& 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))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& 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(e20,e25)) = op1(j(e20),j(e25))
& 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(e21,e25)) = op1(j(e21),j(e25))
& 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(e22,e25)) = op1(j(e22),j(e25))
& 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(e23,e25)) = op1(j(e23),j(e25))
& 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))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15 ) ),
inference(flattening,[],[f8]) ).
fof(f12,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
e12 != e15,
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
e12 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f23,plain,
e10 != e12,
inference(cnf_transformation,[],[f1]) ).
fof(f24,plain,
e10 != e11,
inference(cnf_transformation,[],[f1]) ).
fof(f27,plain,
e23 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f34,plain,
e21 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f35,plain,
e20 != e25,
inference(cnf_transformation,[],[f2]) ).
fof(f38,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f39,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f76,plain,
e12 = op1(e15,e15),
inference(cnf_transformation,[],[f4]) ).
fof(f83,plain,
e13 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f90,plain,
e12 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f97,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f104,plain,
e10 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f111,plain,
e10 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f112,plain,
e20 = op2(e25,e25),
inference(cnf_transformation,[],[f5]) ).
fof(f119,plain,
e23 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
e24 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f133,plain,
e20 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f140,plain,
e20 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f147,plain,
e20 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f151,plain,
( e10 = j(e22)
| e11 = j(e22)
| e12 = j(e22)
| e13 = j(e22)
| e14 = j(e22)
| e15 = j(e22) ),
inference(cnf_transformation,[],[f9]) ).
fof(f152,plain,
( e10 = j(e21)
| e11 = j(e21)
| e12 = j(e21)
| e13 = j(e21)
| e14 = j(e21)
| e15 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f153,plain,
( e10 = j(e20)
| e11 = j(e20)
| e12 = j(e20)
| e13 = j(e20)
| e14 = j(e20)
| e15 = j(e20) ),
inference(cnf_transformation,[],[f9]) ).
fof(f159,plain,
( e20 = h(e10)
| e21 = h(e10)
| e22 = h(e10)
| e23 = h(e10)
| e24 = h(e10)
| e25 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f169,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f170,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f193,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f200,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f207,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f243,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f320,definition,
( spl0_19
<=> e15 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f322,plain,
( e15 = j(e22)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f324,definition,
( spl0_20
<=> e14 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f326,plain,
( e14 = j(e22)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f328,definition,
( spl0_21
<=> e13 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f330,plain,
( e13 = j(e22)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f332,definition,
( spl0_22
<=> e12 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f334,plain,
( e12 = j(e22)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f336,definition,
( spl0_23
<=> e11 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f338,plain,
( e11 = j(e22)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f340,definition,
( spl0_24
<=> e10 = j(e22) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f342,plain,
( e10 = j(e22)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f343,plain,
( spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_24 ),
inference(avatar_split_clause,[],[f151,f340,f336,f332,f328,f324,f320]) ).
fof(f345,definition,
( spl0_25
<=> e15 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f347,plain,
( e15 = j(e21)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f349,definition,
( spl0_26
<=> e14 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f351,plain,
( e14 = j(e21)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f353,definition,
( spl0_27
<=> e13 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f355,plain,
( e13 = j(e21)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f357,definition,
( spl0_28
<=> e12 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f359,plain,
( e12 = j(e21)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f361,definition,
( spl0_29
<=> e11 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f363,plain,
( e11 = j(e21)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f365,definition,
( spl0_30
<=> e10 = j(e21) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f367,plain,
( e10 = j(e21)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f368,plain,
( spl0_25
| spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f152,f365,f361,f357,f353,f349,f345]) ).
fof(f370,definition,
( spl0_31
<=> e15 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f372,plain,
( e15 = j(e20)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f374,definition,
( spl0_32
<=> e14 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f376,plain,
( e14 = j(e20)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f378,definition,
( spl0_33
<=> e13 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f380,plain,
( e13 = j(e20)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f382,definition,
( spl0_34
<=> e12 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f384,plain,
( e12 = j(e20)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f386,definition,
( spl0_35
<=> e11 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f388,plain,
( e11 = j(e20)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f390,definition,
( spl0_36
<=> e10 = j(e20) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f392,plain,
( e10 = j(e20)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f393,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35
| spl0_36 ),
inference(avatar_split_clause,[],[f153,f390,f386,f382,f378,f374,f370]) ).
fof(f507,definition,
( spl0_64
<=> e22 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_64])],[avatar_definition]) ).
fof(f509,plain,
( e22 = h(e11)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f511,definition,
( spl0_65
<=> e21 = h(e11) ),
introduced(definition,[new_symbols(definition,[spl0_65])],[avatar_definition]) ).
fof(f513,plain,
( e21 = h(e11)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f520,definition,
( spl0_67
<=> e25 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f522,plain,
( e25 = h(e10)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f524,definition,
( spl0_68
<=> e24 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f526,plain,
( e24 = h(e10)
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f528,definition,
( spl0_69
<=> e23 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f530,plain,
( e23 = h(e10)
| ~ spl0_69 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f532,definition,
( spl0_70
<=> e22 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f534,plain,
( e22 = h(e10)
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f536,definition,
( spl0_71
<=> e21 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_71])],[avatar_definition]) ).
fof(f538,plain,
( e21 = h(e10)
| ~ spl0_71 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f540,definition,
( spl0_72
<=> e20 = h(e10) ),
introduced(definition,[new_symbols(definition,[spl0_72])],[avatar_definition]) ).
fof(f542,plain,
( e20 = h(e10)
| ~ spl0_72 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f543,plain,
( spl0_67
| spl0_68
| spl0_69
| spl0_70
| spl0_71
| spl0_72 ),
inference(avatar_split_clause,[],[f159,f540,f536,f532,f528,f524,f520]) ).
fof(f565,plain,
j(e20) = op1(j(e22),j(e22)),
inference(backward_demodulation,[],[f193,f133]) ).
fof(f572,plain,
j(e20) = op1(j(e21),j(e21)),
inference(backward_demodulation,[],[f200,f140]) ).
fof(f579,plain,
j(e20) = op1(j(e20),j(e20)),
inference(backward_demodulation,[],[f207,f147]) ).
fof(f615,plain,
h(e10) = op2(h(e10),h(e10)),
inference(backward_demodulation,[],[f243,f111]) ).
fof(f657,plain,
( e15 = op1(e15,e15)
| ~ spl0_31 ),
inference(backward_demodulation,[],[f579,f372]) ).
fof(f699,plain,
( e25 = op2(e25,e25)
| ~ spl0_67 ),
inference(backward_demodulation,[],[f615,f522]) ).
fof(f739,plain,
( e12 = e15
| ~ spl0_31 ),
inference(forward_demodulation,[],[f657,f76]) ).
fof(f780,plain,
( e20 = e25
| ~ spl0_67 ),
inference(forward_demodulation,[],[f699,f112]) ).
fof(f817,plain,
( $false
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f739,f13]) ).
fof(f818,plain,
~ spl0_31,
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f856,plain,
( $false
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f780,f35]) ).
fof(f857,plain,
~ spl0_67,
inference(avatar_contradiction_clause,[],[f856]) ).
fof(f1049,plain,
( e24 = op2(e24,e24)
| ~ spl0_68 ),
inference(forward_demodulation,[],[f615,f526]) ).
fof(f1090,plain,
( e14 = op1(e14,e14)
| ~ spl0_32 ),
inference(forward_demodulation,[],[f579,f376]) ).
fof(f1134,plain,
( e23 = e24
| ~ spl0_68 ),
inference(forward_demodulation,[],[f1049,f119]) ).
fof(f1175,plain,
( e13 = e14
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1090,f83]) ).
fof(f1214,plain,
( $false
| ~ spl0_68 ),
inference(forward_subsumption_resolution,[],[f1134,f27]) ).
fof(f1215,plain,
~ spl0_68,
inference(avatar_contradiction_clause,[],[f1214]) ).
fof(f1256,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[],[f1175,f12]) ).
fof(f1257,plain,
~ spl0_32,
inference(avatar_contradiction_clause,[],[f1256]) ).
fof(f1447,plain,
( e23 = op2(e23,e23)
| ~ spl0_69 ),
inference(forward_demodulation,[],[f615,f530]) ).
fof(f1491,plain,
( e13 = op1(e13,e13)
| ~ spl0_33 ),
inference(forward_demodulation,[],[f579,f380]) ).
fof(f1534,plain,
( e23 = e24
| ~ spl0_69 ),
inference(backward_demodulation,[],[f126,f1447]) ).
fof(f1575,plain,
( e12 = e13
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1491,f90]) ).
fof(f1612,plain,
( $false
| ~ spl0_69 ),
inference(forward_subsumption_resolution,[],[f1534,f27]) ).
fof(f1613,plain,
~ spl0_69,
inference(avatar_contradiction_clause,[],[f1612]) ).
fof(f1653,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f1575,f15]) ).
fof(f1654,plain,
~ spl0_33,
inference(avatar_contradiction_clause,[],[f1653]) ).
fof(f1812,plain,
( e22 = op2(e22,e22)
| ~ spl0_70 ),
inference(forward_demodulation,[],[f615,f534]) ).
fof(f1858,plain,
( e12 = op1(e12,e12)
| ~ spl0_34 ),
inference(forward_demodulation,[],[f579,f384]) ).
fof(f1908,plain,
( e20 = e22
| ~ spl0_70 ),
inference(forward_demodulation,[],[f1812,f133]) ).
fof(f1949,plain,
( e12 = e13
| ~ spl0_34 ),
inference(backward_demodulation,[],[f97,f1858]) ).
fof(f1989,plain,
( $false
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f1908,f38]) ).
fof(f1990,plain,
~ spl0_70,
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f2026,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1949,f15]) ).
fof(f2027,plain,
~ spl0_34,
inference(avatar_contradiction_clause,[],[f2026]) ).
fof(f2166,plain,
( e21 = op2(e21,e21)
| ~ spl0_71 ),
inference(forward_demodulation,[],[f615,f538]) ).
fof(f2209,plain,
( e11 = op1(e11,e11)
| ~ spl0_35 ),
inference(forward_demodulation,[],[f579,f388]) ).
fof(f2219,plain,
( e21 = h(e11)
| ~ spl0_29 ),
inference(forward_demodulation,[],[f170,f363]) ).
fof(f2228,plain,
( e22 = h(e11)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f169,f338]) ).
fof(f2264,plain,
( e20 = e21
| ~ spl0_71 ),
inference(forward_demodulation,[],[f2166,f140]) ).
fof(f2300,plain,
( e10 = e11
| ~ spl0_35 ),
inference(forward_demodulation,[],[f2209,f104]) ).
fof(f2307,plain,
( spl0_65
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f2219,f361,f511]) ).
fof(f2313,plain,
( spl0_64
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f2228,f336,f507]) ).
fof(f2338,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[],[f2264,f39]) ).
fof(f2339,plain,
~ spl0_71,
inference(avatar_contradiction_clause,[],[f2338]) ).
fof(f2385,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f2300,f24]) ).
fof(f2386,plain,
~ spl0_35,
inference(avatar_contradiction_clause,[],[f2385]) ).
fof(f2620,plain,
( e21 = h(e10)
| ~ spl0_30 ),
inference(forward_demodulation,[],[f170,f367]) ).
fof(f2634,plain,
( e22 = h(e10)
| ~ spl0_24 ),
inference(forward_demodulation,[],[f169,f342]) ).
fof(f2708,plain,
( e20 = e21
| ~ spl0_30
| ~ spl0_72 ),
inference(forward_demodulation,[],[f2620,f542]) ).
fof(f2718,plain,
( e20 = e22
| ~ spl0_24
| ~ spl0_72 ),
inference(forward_demodulation,[],[f2634,f542]) ).
fof(f2772,plain,
( $false
| ~ spl0_30
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f2708,f39]) ).
fof(f2773,plain,
( ~ spl0_30
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f2772]) ).
fof(f2782,plain,
( $false
| ~ spl0_24
| ~ spl0_72 ),
inference(forward_subsumption_resolution,[],[f2718,f38]) ).
fof(f2783,plain,
( ~ spl0_24
| ~ spl0_72 ),
inference(avatar_contradiction_clause,[],[f2782]) ).
fof(f2957,plain,
( op1(e15,e15) = j(e20)
| ~ spl0_25 ),
inference(forward_demodulation,[],[f572,f347]) ).
fof(f3036,plain,
( e10 = op1(e15,e15)
| ~ spl0_25
| ~ spl0_36 ),
inference(forward_demodulation,[],[f2957,f392]) ).
fof(f3097,plain,
( e10 = e12
| ~ spl0_25
| ~ spl0_36 ),
inference(backward_demodulation,[],[f76,f3036]) ).
fof(f3145,plain,
( $false
| ~ spl0_25
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f3097,f23]) ).
fof(f3146,plain,
( ~ spl0_25
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f3145]) ).
fof(f3260,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_26 ),
inference(forward_demodulation,[],[f572,f351]) ).
fof(f3273,plain,
( op1(e14,e14) = j(e20)
| ~ spl0_20 ),
inference(forward_demodulation,[],[f565,f326]) ).
fof(f3337,plain,
( e10 = op1(e14,e14)
| ~ spl0_26
| ~ spl0_36 ),
inference(forward_demodulation,[],[f3260,f392]) ).
fof(f3345,plain,
( e10 = op1(e14,e14)
| ~ spl0_20
| ~ spl0_36 ),
inference(forward_demodulation,[],[f3273,f392]) ).
fof(f3396,plain,
( e10 = e13
| ~ spl0_26
| ~ spl0_36 ),
inference(backward_demodulation,[],[f83,f3337]) ).
fof(f3451,plain,
( $false
| ~ spl0_26
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f3396,f22]) ).
fof(f3452,plain,
( ~ spl0_26
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f3451]) ).
fof(f3576,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_28 ),
inference(forward_demodulation,[],[f572,f359]) ).
fof(f3585,plain,
( e10 = e13
| ~ spl0_20
| ~ spl0_36 ),
inference(backward_demodulation,[],[f83,f3345]) ).
fof(f3644,plain,
( e10 = op1(e12,e12)
| ~ spl0_28
| ~ spl0_36 ),
inference(forward_demodulation,[],[f3576,f392]) ).
fof(f3652,plain,
( $false
| ~ spl0_20
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f3585,f22]) ).
fof(f3653,plain,
( ~ spl0_20
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f3652]) ).
fof(f3698,plain,
( e10 = e13
| ~ spl0_28
| ~ spl0_36 ),
inference(backward_demodulation,[],[f97,f3644]) ).
fof(f3747,plain,
( $false
| ~ spl0_28
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f3698,f22]) ).
fof(f3748,plain,
( ~ spl0_28
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f3747]) ).
fof(f3884,plain,
( op1(e15,e15) = j(e20)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f565,f322]) ).
fof(f3951,plain,
( e10 = op1(e15,e15)
| ~ spl0_19
| ~ spl0_36 ),
inference(forward_demodulation,[],[f3884,f392]) ).
fof(f4003,plain,
( e10 = e12
| ~ spl0_19
| ~ spl0_36 ),
inference(backward_demodulation,[],[f76,f3951]) ).
fof(f4049,plain,
( $false
| ~ spl0_19
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f4003,f23]) ).
fof(f4050,plain,
( ~ spl0_19
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f4049]) ).
fof(f4424,plain,
( e21 = e22
| ~ spl0_64
| ~ spl0_65 ),
inference(backward_demodulation,[],[f509,f513]) ).
fof(f4488,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_21 ),
inference(forward_demodulation,[],[f565,f330]) ).
fof(f4525,plain,
( $false
| ~ spl0_64
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[],[f4424,f34]) ).
fof(f4526,plain,
( ~ spl0_64
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f4525]) ).
fof(f4568,plain,
( e10 = op1(e13,e13)
| ~ spl0_21
| ~ spl0_36 ),
inference(forward_demodulation,[],[f4488,f392]) ).
fof(f4628,plain,
( e10 = e12
| ~ spl0_21
| ~ spl0_36 ),
inference(backward_demodulation,[],[f90,f4568]) ).
fof(f4676,plain,
( $false
| ~ spl0_21
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f4628,f23]) ).
fof(f4677,plain,
( ~ spl0_21
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f4676]) ).
fof(f4799,plain,
( op1(e12,e12) = j(e20)
| ~ spl0_22 ),
inference(forward_demodulation,[],[f565,f334]) ).
fof(f4887,plain,
( e10 = op1(e12,e12)
| ~ spl0_22
| ~ spl0_36 ),
inference(forward_demodulation,[],[f4799,f392]) ).
fof(f4944,plain,
( e10 = e13
| ~ spl0_22
| ~ spl0_36 ),
inference(backward_demodulation,[],[f97,f4887]) ).
fof(f4994,plain,
( $false
| ~ spl0_22
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f4944,f22]) ).
fof(f4995,plain,
( ~ spl0_22
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f4994]) ).
fof(f5140,plain,
( op1(e13,e13) = j(e20)
| ~ spl0_27 ),
inference(forward_demodulation,[],[f572,f355]) ).
fof(f5225,plain,
( e10 = op1(e13,e13)
| ~ spl0_27
| ~ spl0_36 ),
inference(forward_demodulation,[],[f5140,f392]) ).
fof(f5285,plain,
( e10 = e12
| ~ spl0_27
| ~ spl0_36 ),
inference(backward_demodulation,[],[f90,f5225]) ).
fof(f5333,plain,
( $false
| ~ spl0_27
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f5285,f23]) ).
fof(f5334,plain,
( ~ spl0_27
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f5333]) ).
cnf(s4,plain,
( spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_24 ),
inference(sat_conversion,[],[f343]) ).
cnf(s5,plain,
( spl0_25
| spl0_26
| spl0_27
| spl0_28
| spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f368]) ).
cnf(s6,plain,
( spl0_31
| spl0_32
| spl0_33
| spl0_34
| spl0_35
| spl0_36 ),
inference(sat_conversion,[],[f393]) ).
cnf(s12,plain,
( spl0_67
| spl0_68
| spl0_69
| spl0_70
| spl0_71
| spl0_72 ),
inference(sat_conversion,[],[f543]) ).
cnf(s22,plain,
~ spl0_31,
inference(sat_conversion,[],[f818]) ).
cnf(s24,plain,
~ spl0_67,
inference(sat_conversion,[],[f857]) ).
cnf(s105,plain,
~ spl0_68,
inference(sat_conversion,[],[f1215]) ).
cnf(s111,plain,
~ spl0_32,
inference(sat_conversion,[],[f1257]) ).
cnf(s184,plain,
~ spl0_69,
inference(sat_conversion,[],[f1613]) ).
cnf(s193,plain,
~ spl0_33,
inference(sat_conversion,[],[f1654]) ).
cnf(s254,plain,
~ spl0_70,
inference(sat_conversion,[],[f1990]) ).
cnf(s260,plain,
~ spl0_34,
inference(sat_conversion,[],[f2027]) ).
cnf(s312,plain,
( ~ spl0_29
| spl0_65 ),
inference(sat_conversion,[],[f2307]) ).
cnf(s313,plain,
( ~ spl0_23
| spl0_64 ),
inference(sat_conversion,[],[f2313]) ).
cnf(s314,plain,
~ spl0_71,
inference(sat_conversion,[],[f2339]) ).
cnf(s326,plain,
~ spl0_35,
inference(sat_conversion,[],[f2386]) ).
cnf(s387,plain,
( ~ spl0_30
| ~ spl0_72 ),
inference(sat_conversion,[],[f2773]) ).
cnf(s389,plain,
( ~ spl0_24
| ~ spl0_72 ),
inference(sat_conversion,[],[f2783]) ).
cnf(s451,plain,
( ~ spl0_25
| ~ spl0_36 ),
inference(sat_conversion,[],[f3146]) ).
cnf(s496,plain,
( ~ spl0_26
| ~ spl0_36 ),
inference(sat_conversion,[],[f3452]) ).
cnf(s528,plain,
( ~ spl0_20
| ~ spl0_36 ),
inference(sat_conversion,[],[f3653]) ).
cnf(s542,plain,
( ~ spl0_28
| ~ spl0_36 ),
inference(sat_conversion,[],[f3748]) ).
cnf(s591,plain,
( ~ spl0_19
| ~ spl0_36 ),
inference(sat_conversion,[],[f4050]) ).
cnf(s670,plain,
( ~ spl0_64
| ~ spl0_65 ),
inference(sat_conversion,[],[f4526]) ).
cnf(s691,plain,
( ~ spl0_21
| ~ spl0_36 ),
inference(sat_conversion,[],[f4677]) ).
cnf(s735,plain,
( ~ spl0_22
| ~ spl0_36 ),
inference(sat_conversion,[],[f4995]) ).
cnf(s781,plain,
( ~ spl0_27
| ~ spl0_36 ),
inference(sat_conversion,[],[f5334]) ).
cnf(s816,plain,
spl0_72,
inference(rat,[],[s12,s314,s254,s184,s105,s24]) ).
cnf(s820,plain,
~ spl0_24,
inference(rat,[],[s389,s816]) ).
cnf(s821,plain,
~ spl0_30,
inference(rat,[],[s387,s816]) ).
cnf(s825,plain,
spl0_36,
inference(rat,[],[s6,s326,s260,s193,s111,s22]) ).
cnf(s826,plain,
~ spl0_27,
inference(rat,[],[s781,s825]) ).
cnf(s828,plain,
~ spl0_22,
inference(rat,[],[s735,s825]) ).
cnf(s829,plain,
~ spl0_21,
inference(rat,[],[s691,s825]) ).
cnf(s831,plain,
~ spl0_19,
inference(rat,[],[s591,s825]) ).
cnf(s833,plain,
~ spl0_28,
inference(rat,[],[s542,s825]) ).
cnf(s835,plain,
~ spl0_20,
inference(rat,[],[s528,s825]) ).
cnf(s836,plain,
~ spl0_26,
inference(rat,[],[s496,s825]) ).
cnf(s838,plain,
~ spl0_25,
inference(rat,[],[s451,s825]) ).
cnf(s846,plain,
spl0_29,
inference(rat,[],[s5,s821,s833,s826,s836,s838]) ).
cnf(s848,plain,
spl0_65,
inference(rat,[],[s312,s846]) ).
cnf(s849,plain,
~ spl0_64,
inference(rat,[],[s670,s848]) ).
cnf(s851,plain,
~ spl0_23,
inference(rat,[],[s313,s849]) ).
cnf(s852,plain,
$false,
inference(rat,[],[s4,s820,s851,s828,s829,s835,s831]) ).
fof(f5416,plain,
$false,
inference(avatar_sat_refutation,[],[s852]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG031+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n008.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:20:10 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/0.40 % (2548105)Will run a generic schedule for satisfiability detection.
% 1.01/0.40 % (2548114)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=330821748:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.01/0.40 % (2548111)% WARNING: option uhcvi not known.
% 1.01/0.40 % (2548110)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2527738668_2999 on theBenchmark for (2999ds/0Mi)
% 1.01/0.40 % (2548111)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=845571313:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.01/0.40 % (2548112)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2123055845:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.01/0.40 % (2548113)dis+10_1_sil=32000:sp=arity:random_seed=716187691:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.01/0.40 % (2548116)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4000756516:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.01/0.40 % (2548115)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2458625016:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.01/0.40 % Detected minimum model sizes of [12]
% 1.01/0.40 % Detected maximum model sizes of [max]
% 1.01/0.40 % TRYING [12]
% 1.01/0.40 % (2548114)Instruction limit reached!
% 1.01/0.40 % (2548114)------------------------------
% 1.01/0.40 % (2548114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.01/0.40 % (2548114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.40 % (2548114)CaDiCaL version: 2.1.3
% 1.01/0.40 % (2548114)Termination reason: Instruction limit
% 1.01/0.40 % (2548114)Termination phase: Saturation
% 1.01/0.40 % (2548114)Time elapsed: 0.034 s
% 1.01/0.40 % (2548114)Peak memory usage: 12 MB
% 1.01/0.40 % (2548114)Instructions burned: 118 (million)
% 1.01/0.40 % (2548124)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3123485025:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.01/0.40 % Detected minimum model sizes of [12]
% 1.01/0.40 % Detected maximum model sizes of [max]
% 1.01/0.40 % TRYING [12]
% 1.01/0.40 % (2548113)Instruction limit reached!
% 1.01/0.40 % (2548113)------------------------------
% 1.01/0.40 % (2548113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.01/0.40 % (2548113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.40 % (2548113)CaDiCaL version: 2.1.3
% 1.01/0.40 % (2548113)Termination reason: Instruction limit
% 1.01/0.40 % (2548113)Termination phase: Saturation
% 1.01/0.40 % (2548113)Time elapsed: 0.054 s
% 1.01/0.40 % (2548113)Peak memory usage: 12 MB
% 1.01/0.40 % (2548113)Instructions burned: 105 (million)
% 1.01/0.40 % (2548115)Instruction limit reached!
% 1.01/0.40 % (2548115)------------------------------
% 1.01/0.40 % (2548115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.01/0.40 % (2548115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.40 % (2548115)CaDiCaL version: 2.1.3
% 1.01/0.40 % (2548115)Termination reason: Instruction limit
% 1.01/0.40 % (2548115)Termination phase: Saturation
% 1.01/0.40 % (2548115)Time elapsed: 0.064 s
% 1.01/0.40 % (2548115)Peak memory usage: 13 MB
% 1.01/0.40 % (2548115)Instructions burned: 132 (million)
% 1.01/0.40 % (2548126)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3298331094:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.01/0.40 % (2548127)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3141299763:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.01/0.40 % (2548116)Instruction limit reached!
% 1.01/0.40 % (2548116)------------------------------
% 1.01/0.40 % (2548116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.01/0.40 % (2548116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.40 % (2548116)CaDiCaL version: 2.1.3
% 1.01/0.40 % (2548116)Termination reason: Instruction limit
% 1.01/0.40 % (2548116)Termination phase: Saturation
% 1.01/0.40 % (2548116)Time elapsed: 0.086 s
% 1.01/0.40 % (2548116)Peak memory usage: 12 MB
% 1.01/0.40 % (2548116)Instructions burned: 159 (million)
% 1.01/0.40 % (2548130)ott-21_1_sil=16000:fs=off:random_seed=3157625316:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.01/0.40 % (2548126) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2548105-2548126"...
% 1.01/0.40 % (2548126)...printing done.
% 1.01/0.40 % (2548126)Refutation found. Thanks to Tanya!
% 1.01/0.40 % SZS status Theorem for theBenchmark
% 1.01/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 1.01/0.40 % (2548126)------------------------------
% 1.01/0.40 % (2548126)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.01/0.40 % (2548126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.01/0.40 % (2548126)CaDiCaL version: 2.1.3
% 1.01/0.40 % (2548126)Termination reason: Refutation
% 1.01/0.40 % (2548126)Time elapsed: 0.065 s
% 1.01/0.40 % (2548126)Peak memory usage: 14 MB
% 1.01/0.40 % (2548126)Instructions burned: 129 (million)
% 1.01/0.40 % (2548105)Success in time 0.179 s
% 1.01/0.40 % Vampire exiting
%------------------------------------------------------------------------------