%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ALG031+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 : Sun Sep 27 06:47:06 AM UTC 2026
% Result : Theorem 21.99s 3.22s
% Output : CNFRefutation 21.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 72
% Number of leaves : 5
% Syntax : Number of formulae : 165 ( 71 unt; 0 def)
% Number of atoms : 895 ( 894 equ)
% Maximal formula atoms : 156 ( 5 avg)
% Number of connectives : 774 ( 44 ~; 442 |; 286 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 87 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 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(ax1,axiom,
( e14 != e15
& e13 != e15
& e13 != e14
& e12 != e15
& e12 != e14
& e12 != e13
& e11 != e15
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e15
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ) ).
fof(ax2,axiom,
( e24 != e25
& e23 != e25
& e23 != e24
& e22 != e25
& e22 != e24
& e22 != e23
& e21 != e25
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e25
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ) ).
fof(ax4,axiom,
( op1(e15,e15) = e12
& op1(e15,e14) = e10
& op1(e15,e13) = e14
& op1(e15,e12) = e11
& op1(e15,e11) = e13
& op1(e15,e10) = e15
& op1(e14,e15) = e10
& op1(e14,e14) = e13
& op1(e14,e13) = e11
& op1(e14,e12) = e15
& op1(e14,e11) = e12
& op1(e14,e10) = e14
& op1(e13,e15) = e14
& op1(e13,e14) = e11
& op1(e13,e13) = e12
& op1(e13,e12) = e10
& op1(e13,e11) = e15
& op1(e13,e10) = e13
& op1(e12,e15) = e11
& op1(e12,e14) = e15
& op1(e12,e13) = e10
& op1(e12,e12) = e13
& op1(e12,e11) = e14
& op1(e12,e10) = e12
& op1(e11,e15) = e13
& op1(e11,e14) = e12
& op1(e11,e13) = e15
& op1(e11,e12) = e14
& op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e15) = e15
& op1(e10,e14) = e14
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ) ).
fof(ax5,axiom,
( op2(e25,e25) = e20
& op2(e25,e24) = e22
& op2(e25,e23) = e21
& op2(e25,e22) = e24
& op2(e25,e21) = e23
& op2(e25,e20) = e25
& op2(e24,e25) = e21
& op2(e24,e24) = e23
& op2(e24,e23) = e20
& op2(e24,e22) = e25
& op2(e24,e21) = e22
& op2(e24,e20) = e24
& op2(e23,e25) = e22
& op2(e23,e24) = e20
& op2(e23,e23) = e24
& op2(e23,e22) = e21
& op2(e23,e21) = e25
& op2(e23,e20) = e23
& op2(e22,e25) = e23
& op2(e22,e24) = e21
& op2(e22,e23) = e25
& op2(e22,e22) = e20
& op2(e22,e21) = e24
& op2(e22,e20) = e22
& op2(e21,e25) = e24
& op2(e21,e24) = e25
& op2(e21,e23) = e22
& op2(e21,e22) = e23
& op2(e21,e21) = e20
& op2(e21,e20) = e21
& op2(e20,e25) = e25
& op2(e20,e24) = e24
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ) ).
fof(co1,conjecture,
( ( ( j(e25) = e15
| j(e25) = e14
| j(e25) = e13
| j(e25) = e12
| j(e25) = e11
| j(e25) = e10 )
& ( j(e24) = e15
| j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e15
| j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e15
| j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e15
| j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e15
| j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e15) = e25
| h(e15) = e24
| h(e15) = e23
| h(e15) = e22
| h(e15) = e21
| h(e15) = e20 )
& ( h(e14) = e25
| h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e25
| h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e25
| h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e25
| h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e25
| h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e15)) = e15
& j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e25)) = e25
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( j(e25) = e15
| j(e25) = e14
| j(e25) = e13
| j(e25) = e12
| j(e25) = e11
| j(e25) = e10 )
& ( j(e24) = e15
| j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e15
| j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e15
| j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e15
| j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e15
| j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e15) = e25
| h(e15) = e24
| h(e15) = e23
| h(e15) = e22
| h(e15) = e21
| h(e15) = e20 )
& ( h(e14) = e25
| h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e25
| h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e25
| h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e25
| h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e25
| h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e15)) = e15
& j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e25)) = e25
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negate_conjecture,[status(cth)],[co1]) ).
cnf(c1,plain,
e10 != e12,
inference(clausification,[status(esa)],[ax1]) ).
cnf(c2,plain,
e10 != e13,
inference(clausification,[status(esa)],[ax1]) ).
cnf(c7,plain,
e11 != e14,
inference(clausification,[status(esa)],[ax1]) ).
cnf(c8,plain,
e11 != e15,
inference(clausification,[status(esa)],[ax1]) ).
cnf(c15,plain,
e20 != e21,
inference(clausification,[status(esa)],[ax2]) ).
cnf(c17,plain,
e20 != e23,
inference(clausification,[status(esa)],[ax2]) ).
cnf(c19,plain,
e20 != e25,
inference(clausification,[status(esa)],[ax2]) ).
cnf(c20,plain,
e21 != e22,
inference(clausification,[status(esa)],[ax2]) ).
cnf(c27,plain,
e23 != e24,
inference(clausification,[status(esa)],[ax2]) ).
cnf(c28,plain,
e23 != e25,
inference(clausification,[status(esa)],[ax2]) ).
cnf(c66,plain,
op1(e10,e10) = e10,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c74,plain,
op1(e11,e12) = e14,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c75,plain,
op1(e11,e13) = e15,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c79,plain,
op1(e12,e11) = e14,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c80,plain,
op1(e12,e12) = e13,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c82,plain,
op1(e12,e14) = e15,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c85,plain,
op1(e13,e11) = e15,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c87,plain,
op1(e13,e13) = e12,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c89,plain,
op1(e13,e15) = e14,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c91,plain,
op1(e14,e11) = e12,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c94,plain,
op1(e14,e14) = e13,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c97,plain,
op1(e15,e11) = e13,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c101,plain,
op1(e15,e15) = e12,
inference(clausification,[status(esa)],[ax4]) ).
cnf(c109,plain,
op2(e21,e21) = e20,
inference(clausification,[status(esa)],[ax5]) ).
cnf(c116,plain,
op2(e22,e22) = e20,
inference(clausification,[status(esa)],[ax5]) ).
cnf(c117,plain,
op2(e22,e23) = e25,
inference(clausification,[status(esa)],[ax5]) ).
cnf(c123,plain,
op2(e23,e23) = e24,
inference(clausification,[status(esa)],[ax5]) ).
cnf(c125,plain,
op2(e23,e25) = e22,
inference(clausification,[status(esa)],[ax5]) ).
cnf(c130,plain,
op2(e24,e24) = e23,
inference(clausification,[status(esa)],[ax5]) ).
cnf(c135,plain,
op2(e25,e23) = e21,
inference(clausification,[status(esa)],[ax5]) ).
cnf(c137,plain,
op2(e25,e25) = e20,
inference(clausification,[status(esa)],[ax5]) ).
cnf(c138,plain,
( h(e10) = e22
| h(e10) = e23
| h(e10) = e21
| h(e10) = e25
| h(e10) = e20
| h(e10) = e24 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c147,plain,
( j(e23) = e13
| j(e23) = e14
| j(e23) = e10
| j(e23) = e15
| j(e23) = e11
| j(e23) = e12 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c149,plain,
( j(e25) = e10
| j(e25) = e15
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e11 ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c150,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c158,plain,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c159,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c163,plain,
h(op1(e12,e11)) = op2(h(e12),h(e11)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c169,plain,
h(op1(e13,e11)) = op2(h(e13),h(e11)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c201,plain,
j(op2(e22,e23)) = op1(j(e22),j(e23)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c209,plain,
j(op2(e23,e25)) = op1(j(e23),j(e25)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c221,plain,
j(op2(e25,e25)) = op1(j(e25),j(e25)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c223,plain,
h(j(e21)) = e21,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c225,plain,
h(j(e23)) = e23,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c226,plain,
h(j(e24)) = e24,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c227,plain,
h(j(e25)) = e25,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c228,plain,
j(h(e10)) = e10,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c229,plain,
j(h(e11)) = e11,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c230,plain,
j(h(e12)) = e12,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c231,plain,
j(h(e13)) = e13,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c232,plain,
j(h(e14)) = e14,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c233,plain,
j(h(e15)) = e15,
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
h(e10) = op2(h(e10),h(e10)),
inference(demodulation,[status(thm)],[c150,c66]) ).
cnf(d1,plain,
( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = op2(e25,h(e10)) ),
inference(superposition,[status(thm)],[c138,d0]) ).
cnf(d2,plain,
( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = op2(e25,e25) ),
inference(superposition,[status(thm)],[c138,d1]) ).
cnf(d3,plain,
( h(e10) = e20
| h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(demodulation,[status(thm)],[d2,c137]) ).
cnf(d4,plain,
( h(e10) = e20
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| j(e24) = e10 ),
inference(superposition,[status(thm)],[d3,c228]) ).
cnf(d5,plain,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e24 ),
inference(superposition,[status(thm)],[d4,c226]) ).
cnf(d6,plain,
( h(e10) = e20
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = op2(h(e10),e24) ),
inference(superposition,[status(thm)],[d3,d0]) ).
cnf(d7,plain,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = op2(e24,e24) ),
inference(superposition,[status(thm)],[d5,d6]) ).
cnf(d8,plain,
( h(e10) = e23
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(demodulation,[status(thm)],[d7,c130]) ).
cnf(d9,plain,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| e23 = e24 ),
inference(superposition,[status(thm)],[d8,d5]) ).
cnf(d10,plain,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(resolution,[status(thm)],[c27,d9]) ).
cnf(d11,plain,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = op2(h(e10),e23) ),
inference(superposition,[status(thm)],[d10,d0]) ).
cnf(d12,plain,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = op2(e23,e23) ),
inference(superposition,[status(thm)],[d10,d11]) ).
cnf(d13,plain,
( h(e10) = e24
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(demodulation,[status(thm)],[d12,c123]) ).
cnf(d14,plain,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| e23 = e24 ),
inference(superposition,[status(thm)],[d10,d13]) ).
cnf(d15,plain,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(resolution,[status(thm)],[c27,d14]) ).
cnf(d16,plain,
( h(e10) = e21
| h(e10) = e20
| h(e10) = op2(h(e10),e22) ),
inference(superposition,[status(thm)],[d15,d0]) ).
cnf(d17,plain,
( h(e10) = e21
| h(e10) = e20
| h(e10) = e21
| h(e10) = e20
| h(e10) = op2(e22,e22) ),
inference(superposition,[status(thm)],[d15,d16]) ).
cnf(d18,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e20 ),
inference(demodulation,[status(thm)],[d17,c116]) ).
cnf(d19,plain,
( h(e10) = e20
| h(e10) = e20
| j(e21) = e10 ),
inference(superposition,[status(thm)],[d18,c228]) ).
cnf(d20,plain,
( h(e10) = e20
| h(e10) = e21 ),
inference(superposition,[status(thm)],[d19,c223]) ).
cnf(d21,plain,
( h(e10) = e20
| h(e10) = e20
| h(e10) = op2(h(e10),e21) ),
inference(superposition,[status(thm)],[d18,d0]) ).
cnf(d22,plain,
( h(e10) = e20
| h(e10) = e20
| h(e10) = op2(e21,e21) ),
inference(superposition,[status(thm)],[d20,d21]) ).
cnf(d23,plain,
( h(e10) = e20
| h(e10) = e20 ),
inference(demodulation,[status(thm)],[d22,c109]) ).
cnf(d24,plain,
( h(e10) = e20
| h(e10) = e20
| e20 = e21 ),
inference(superposition,[status(thm)],[d23,d20]) ).
cnf(d25,plain,
h(e10) = e20,
inference(resolution,[status(thm)],[c15,d24]) ).
cnf(d26,plain,
j(e20) = e10,
inference(demodulation,[status(thm)],[c228,d25]) ).
cnf(d27,plain,
j(e20) = op1(j(e25),j(e25)),
inference(demodulation,[status(thm)],[c221,c137]) ).
cnf(d28,plain,
e10 = op1(j(e25),j(e25)),
inference(demodulation,[status(thm)],[d27,d26]) ).
cnf(d29,plain,
( j(e25) = e14
| j(e25) = e13
| j(e25) = e12
| j(e25) = e11
| j(e25) = e10
| h(e15) = e25 ),
inference(superposition,[status(thm)],[c149,c227]) ).
cnf(d30,plain,
( j(e25) = e13
| j(e25) = e12
| j(e25) = e11
| j(e25) = e10
| h(e15) = e25
| h(e14) = e25 ),
inference(superposition,[status(thm)],[d29,c227]) ).
cnf(d31,plain,
( j(e25) = e12
| j(e25) = e11
| j(e25) = e10
| h(e15) = e25
| h(e14) = e25
| h(e13) = e25 ),
inference(superposition,[status(thm)],[d30,c227]) ).
cnf(d32,plain,
( j(e25) = e11
| j(e25) = e10
| h(e15) = e25
| h(e14) = e25
| h(e13) = e25
| h(e12) = e25 ),
inference(superposition,[status(thm)],[d31,c227]) ).
cnf(d33,plain,
( j(e25) = e10
| h(e15) = e25
| h(e14) = e25
| h(e13) = e25
| h(e12) = e25
| h(e11) = e25 ),
inference(superposition,[status(thm)],[d32,c227]) ).
cnf(d34,plain,
( h(e15) = e25
| h(e14) = e25
| h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| h(e10) = e25 ),
inference(superposition,[status(thm)],[d33,c227]) ).
cnf(d35,plain,
( h(e15) = e25
| h(e14) = e25
| h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| e20 = e25 ),
inference(demodulation,[status(thm)],[d34,d25]) ).
cnf(d36,plain,
( h(e15) = e25
| h(e14) = e25
| h(e13) = e25
| h(e12) = e25
| h(e11) = e25 ),
inference(resolution,[status(thm)],[c19,d35]) ).
cnf(d37,plain,
( h(e14) = e25
| h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| j(e25) = e15 ),
inference(superposition,[status(thm)],[d36,c233]) ).
cnf(d38,plain,
( h(e14) = e25
| h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| e10 = op1(e15,j(e25)) ),
inference(superposition,[status(thm)],[d37,d28]) ).
cnf(d39,plain,
( h(e14) = e25
| h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| h(e14) = e25
| h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| e10 = op1(e15,e15) ),
inference(superposition,[status(thm)],[d37,d38]) ).
cnf(d40,plain,
( h(e14) = e25
| h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| e10 = e12 ),
inference(demodulation,[status(thm)],[d39,c101]) ).
cnf(d41,plain,
( h(e14) = e25
| h(e13) = e25
| h(e12) = e25
| h(e11) = e25 ),
inference(resolution,[status(thm)],[c1,d40]) ).
cnf(d42,plain,
( h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| j(e25) = e14 ),
inference(superposition,[status(thm)],[d41,c232]) ).
cnf(d43,plain,
( h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| e10 = op1(e14,j(e25)) ),
inference(superposition,[status(thm)],[d42,d28]) ).
cnf(d44,plain,
( h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| e10 = op1(e14,e14) ),
inference(superposition,[status(thm)],[d42,d43]) ).
cnf(d45,plain,
( h(e13) = e25
| h(e12) = e25
| h(e11) = e25
| e10 = e13 ),
inference(demodulation,[status(thm)],[d44,c94]) ).
cnf(d46,plain,
( h(e13) = e25
| h(e12) = e25
| h(e11) = e25 ),
inference(resolution,[status(thm)],[c2,d45]) ).
cnf(d47,plain,
( h(e12) = e25
| h(e11) = e25
| j(e25) = e13 ),
inference(superposition,[status(thm)],[d46,c231]) ).
cnf(d48,plain,
( h(e12) = e25
| h(e11) = e25
| e10 = op1(e13,j(e25)) ),
inference(superposition,[status(thm)],[d47,d28]) ).
cnf(d49,plain,
( h(e12) = e25
| h(e11) = e25
| h(e12) = e25
| h(e11) = e25
| e10 = op1(e13,e13) ),
inference(superposition,[status(thm)],[d47,d48]) ).
cnf(d50,plain,
( h(e12) = e25
| h(e11) = e25
| e10 = e12 ),
inference(demodulation,[status(thm)],[d49,c87]) ).
cnf(d51,plain,
( h(e12) = e25
| h(e11) = e25 ),
inference(resolution,[status(thm)],[c1,d50]) ).
cnf(d52,plain,
( h(e11) = e25
| j(e25) = e12 ),
inference(superposition,[status(thm)],[d51,c230]) ).
cnf(d53,plain,
( h(e11) = e25
| e10 = op1(e12,j(e25)) ),
inference(superposition,[status(thm)],[d52,d28]) ).
cnf(d54,plain,
( h(e11) = e25
| h(e11) = e25
| e10 = op1(e12,e12) ),
inference(superposition,[status(thm)],[d52,d53]) ).
cnf(d55,plain,
( h(e11) = e25
| e10 = e13 ),
inference(demodulation,[status(thm)],[d54,c80]) ).
cnf(d56,plain,
h(e11) = e25,
inference(resolution,[status(thm)],[c2,d55]) ).
cnf(d57,plain,
h(e14) = op2(h(e12),h(e11)),
inference(demodulation,[status(thm)],[c163,c79]) ).
cnf(d58,plain,
h(e14) = op2(h(e12),e25),
inference(demodulation,[status(thm)],[d57,d56]) ).
cnf(d59,plain,
h(e15) = op2(h(e13),h(e11)),
inference(demodulation,[status(thm)],[c169,c85]) ).
cnf(d60,plain,
h(e15) = op2(h(e13),e25),
inference(demodulation,[status(thm)],[d59,d56]) ).
cnf(d61,plain,
j(e25) = e11,
inference(demodulation,[status(thm)],[c229,d56]) ).
cnf(d62,plain,
j(e25) = op1(j(e22),j(e23)),
inference(demodulation,[status(thm)],[c201,c117]) ).
cnf(d63,plain,
e11 = op1(j(e22),j(e23)),
inference(demodulation,[status(thm)],[d62,d61]) ).
cnf(d64,plain,
( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10
| h(e15) = e23 ),
inference(superposition,[status(thm)],[c147,c225]) ).
cnf(d65,plain,
( j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10
| h(e15) = e23
| h(e14) = e23 ),
inference(superposition,[status(thm)],[d64,c225]) ).
cnf(d66,plain,
( j(e23) = e12
| j(e23) = e11
| j(e23) = e10
| h(e15) = e23
| h(e14) = e23
| h(e13) = e23 ),
inference(superposition,[status(thm)],[d65,c225]) ).
cnf(d67,plain,
( j(e23) = e11
| j(e23) = e10
| h(e15) = e23
| h(e14) = e23
| h(e13) = e23
| h(e12) = e23 ),
inference(superposition,[status(thm)],[d66,c225]) ).
cnf(d68,plain,
( j(e23) = e10
| h(e15) = e23
| h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| h(e11) = e23 ),
inference(superposition,[status(thm)],[d67,c225]) ).
cnf(d69,plain,
( h(e15) = e23
| h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| h(e11) = e23
| h(e10) = e23 ),
inference(superposition,[status(thm)],[d68,c225]) ).
cnf(d70,plain,
( h(e15) = e23
| h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| h(e11) = e23
| e20 = e23 ),
inference(demodulation,[status(thm)],[d69,d25]) ).
cnf(d71,plain,
( h(e15) = e23
| h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| e25 = e23
| e20 = e23 ),
inference(demodulation,[status(thm)],[d70,d56]) ).
cnf(d72,plain,
( h(e15) = e23
| h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| e25 = e23 ),
inference(resolution,[status(thm)],[c17,d71]) ).
cnf(d73,plain,
( h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| e25 = e23
| j(e23) = e15 ),
inference(superposition,[status(thm)],[d72,c233]) ).
cnf(d74,plain,
( h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| e25 = e23
| e11 = op1(j(e22),e15) ),
inference(superposition,[status(thm)],[d73,d63]) ).
cnf(d75,plain,
j(e22) = op1(j(e23),j(e25)),
inference(demodulation,[status(thm)],[c209,c125]) ).
cnf(d76,plain,
j(e22) = op1(j(e23),e11),
inference(demodulation,[status(thm)],[d75,d61]) ).
cnf(d77,plain,
( h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| e25 = e23
| j(e22) = op1(e15,e11) ),
inference(superposition,[status(thm)],[d73,d76]) ).
cnf(d78,plain,
( j(e22) = e13
| h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| e25 = e23 ),
inference(demodulation,[status(thm)],[d77,c97]) ).
cnf(d79,plain,
( h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| e25 = e23
| h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| e25 = e23
| e11 = op1(e13,e15) ),
inference(superposition,[status(thm)],[d78,d74]) ).
cnf(d80,plain,
( h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| e25 = e23
| e11 = e14 ),
inference(demodulation,[status(thm)],[d79,c89]) ).
cnf(d81,plain,
( h(e14) = e23
| h(e13) = e23
| h(e12) = e23
| e25 = e23 ),
inference(resolution,[status(thm)],[c7,d80]) ).
cnf(d82,plain,
( h(e13) = e23
| h(e12) = e23
| e25 = e23
| j(e23) = e14 ),
inference(superposition,[status(thm)],[d81,c232]) ).
cnf(d83,plain,
( h(e13) = e23
| h(e12) = e23
| e25 = e23
| e11 = op1(j(e22),e14) ),
inference(superposition,[status(thm)],[d82,d63]) ).
cnf(d84,plain,
( h(e13) = e23
| h(e12) = e23
| e25 = e23
| j(e22) = op1(e14,e11) ),
inference(superposition,[status(thm)],[d82,d76]) ).
cnf(d85,plain,
( j(e22) = e12
| h(e13) = e23
| h(e12) = e23
| e25 = e23 ),
inference(demodulation,[status(thm)],[d84,c91]) ).
cnf(d86,plain,
( h(e13) = e23
| h(e12) = e23
| e25 = e23
| h(e13) = e23
| h(e12) = e23
| e25 = e23
| e11 = op1(e12,e14) ),
inference(superposition,[status(thm)],[d85,d83]) ).
cnf(d87,plain,
( h(e13) = e23
| h(e12) = e23
| e25 = e23
| e11 = e15 ),
inference(demodulation,[status(thm)],[d86,c82]) ).
cnf(d88,plain,
( h(e13) = e23
| h(e12) = e23
| e25 = e23 ),
inference(resolution,[status(thm)],[c8,d87]) ).
cnf(d89,plain,
( h(e12) = e23
| e25 = e23
| h(e15) = op2(e23,e25) ),
inference(superposition,[status(thm)],[d88,d60]) ).
cnf(d90,plain,
( h(e15) = e22
| h(e12) = e23
| e25 = e23 ),
inference(demodulation,[status(thm)],[d89,c125]) ).
cnf(d91,plain,
h(e15) = op2(h(e11),h(e13)),
inference(demodulation,[status(thm)],[c159,c75]) ).
cnf(d92,plain,
h(e15) = op2(e25,h(e13)),
inference(demodulation,[status(thm)],[d91,d56]) ).
cnf(d93,plain,
( h(e12) = e23
| e25 = e23
| h(e15) = op2(e25,e23) ),
inference(superposition,[status(thm)],[d88,d92]) ).
cnf(d94,plain,
( h(e15) = e21
| h(e12) = e23
| e25 = e23 ),
inference(demodulation,[status(thm)],[d93,c135]) ).
cnf(d95,plain,
( h(e12) = e23
| e25 = e23
| h(e12) = e23
| e25 = e23
| e21 = e22 ),
inference(superposition,[status(thm)],[d94,d90]) ).
cnf(d96,plain,
( h(e12) = e23
| e25 = e23 ),
inference(resolution,[status(thm)],[c20,d95]) ).
cnf(d97,plain,
( e25 = e23
| h(e14) = op2(e23,e25) ),
inference(superposition,[status(thm)],[d96,d58]) ).
cnf(d98,plain,
( h(e14) = e22
| e25 = e23 ),
inference(demodulation,[status(thm)],[d97,c125]) ).
cnf(d99,plain,
h(e14) = op2(h(e11),h(e12)),
inference(demodulation,[status(thm)],[c158,c74]) ).
cnf(d100,plain,
h(e14) = op2(e25,h(e12)),
inference(demodulation,[status(thm)],[d99,d56]) ).
cnf(d101,plain,
( e25 = e23
| h(e14) = op2(e25,e23) ),
inference(superposition,[status(thm)],[d96,d100]) ).
cnf(d102,plain,
( h(e14) = e21
| e25 = e23 ),
inference(demodulation,[status(thm)],[d101,c135]) ).
cnf(d103,plain,
( e25 = e23
| e25 = e23
| e21 = e22 ),
inference(superposition,[status(thm)],[d102,d98]) ).
cnf(d104,plain,
e25 = e23,
inference(resolution,[status(thm)],[c20,d103]) ).
cnf(d105,plain,
e23 != e23,
inference(demodulation,[status(thm)],[c28,d104]) ).
cnf(d106,plain,
$false,
inference(equality_resolution,[status(thm)],[d105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG031+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 26 21:05:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.99/3.22 % SZS status Theorem for theBenchmark.p
% 21.99/3.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------