%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG031+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 : Fri Sep 25 12:53:13 PM UTC 2026
% Result : Theorem 0.60s 0.96s
% Output : CNFRefutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 29
% Syntax : Number of formulae : 163 ( 149 unt; 24 def)
% Number of atoms : 1016 ( 910 equ)
% Maximal formula atoms : 156 ( 6 avg)
% Number of connectives : 795 ( 47 ~; 270 |; 476 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 31 ( 29 usr; 30 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,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 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,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 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,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 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,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)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,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(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( ( 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(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( ( 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(flattening,[],[f8]) ).
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(f32,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f33,plain,
e21 != e23,
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(f79,plain,
e11 = op1(e15,e12),
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(f91,plain,
e10 = op1(e13,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f92,plain,
e15 = op1(e13,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f96,plain,
e10 = op1(e12,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f97,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f102,plain,
e15 = op1(e11,e13),
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(f119,plain,
e23 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f120,plain,
e20 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f122,plain,
e22 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f126,plain,
e24 = op2(e23,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
e25 = op2(e23,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f133,plain,
e20 = op2(e22,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f138,plain,
e22 = op2(e21,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f140,plain,
e20 = op2(e21,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f149,plain,
( e15 = j(e24)
| e14 = j(e24)
| e13 = j(e24)
| e12 = j(e24)
| e11 = j(e24)
| e10 = j(e24) ),
inference(cnf_transformation,[],[f9]) ).
fof(f152,plain,
( e15 = j(e21)
| e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f165,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f167,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f168,plain,
e23 = h(j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f170,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f171,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f179,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f180,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f182,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f186,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f188,plain,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f193,plain,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f198,plain,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f200,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f222,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f223,plain,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f228,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f229,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f236,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f243,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_49,plain,
e10 != e11,
inference(cnf_transformation,[],[f24]) ).
tcf(c_50,plain,
e10 != e12,
inference(cnf_transformation,[],[f23]) ).
tcf(c_51,plain,
e10 != e13,
inference(cnf_transformation,[],[f22]) ).
tcf(c_64,plain,
e20 != e21,
inference(cnf_transformation,[],[f39]) ).
tcf(c_70,plain,
e21 != e23,
inference(cnf_transformation,[],[f33]) ).
tcf(c_71,plain,
e21 != e24,
inference(cnf_transformation,[],[f32]) ).
tcf(c_76,plain,
e23 != e24,
inference(cnf_transformation,[],[f27]) ).
tcf(c_115,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[],[f111]) ).
tcf(c_122,plain,
op1(e11,e11) = e10,
inference(cnf_transformation,[],[f104]) ).
tcf(c_124,plain,
op1(e11,e13) = e15,
inference(cnf_transformation,[],[f102]) ).
tcf(c_129,plain,
op1(e12,e12) = e13,
inference(cnf_transformation,[],[f97]) ).
tcf(c_130,plain,
op1(e12,e13) = e10,
inference(cnf_transformation,[],[f96]) ).
tcf(c_134,plain,
op1(e13,e11) = e15,
inference(cnf_transformation,[],[f92]) ).
tcf(c_135,plain,
op1(e13,e12) = e10,
inference(cnf_transformation,[],[f91]) ).
tcf(c_136,plain,
op1(e13,e13) = e12,
inference(cnf_transformation,[],[f90]) ).
tcf(c_143,plain,
op1(e14,e14) = e13,
inference(cnf_transformation,[],[f83]) ).
tcf(c_147,plain,
op1(e15,e12) = e11,
inference(cnf_transformation,[],[f79]) ).
tcf(c_150,plain,
op1(e15,e15) = e12,
inference(cnf_transformation,[],[f76]) ).
tcf(c_158,plain,
op2(e21,e21) = e20,
inference(cnf_transformation,[],[f140]) ).
tcf(c_160,plain,
op2(e21,e23) = e22,
inference(cnf_transformation,[],[f138]) ).
tcf(c_165,plain,
op2(e22,e22) = e20,
inference(cnf_transformation,[],[f133]) ).
tcf(c_170,plain,
op2(e23,e21) = e25,
inference(cnf_transformation,[],[f128]) ).
tcf(c_172,plain,
op2(e23,e23) = e24,
inference(cnf_transformation,[],[f126]) ).
tcf(c_176,plain,
op2(e24,e21) = e22,
inference(cnf_transformation,[],[f122]) ).
tcf(c_178,plain,
op2(e24,e23) = e20,
inference(cnf_transformation,[],[f120]) ).
tcf(c_179,plain,
op2(e24,e24) = e23,
inference(cnf_transformation,[],[f119]) ).
tcf(c_187,negated_conjecture,
op2(h(e10),h(e10)) = h(op1(e10,e10)),
inference(cnf_transformation,[],[f243]) ).
tcf(c_194,negated_conjecture,
op2(h(e11),h(e11)) = h(op1(e11,e11)),
inference(cnf_transformation,[],[f236]) ).
tcf(c_201,negated_conjecture,
op2(h(e12),h(e12)) = h(op1(e12,e12)),
inference(cnf_transformation,[],[f229]) ).
tcf(c_202,negated_conjecture,
op2(h(e12),h(e13)) = h(op1(e12,e13)),
inference(cnf_transformation,[],[f228]) ).
tcf(c_207,negated_conjecture,
op2(h(e13),h(e12)) = h(op1(e13,e12)),
inference(cnf_transformation,[],[f223]) ).
tcf(c_208,negated_conjecture,
op2(h(e13),h(e13)) = h(op1(e13,e13)),
inference(cnf_transformation,[],[f222]) ).
tcf(c_230,negated_conjecture,
op1(j(e21),j(e21)) = j(op2(e21,e21)),
inference(cnf_transformation,[],[f200]) ).
tcf(c_232,negated_conjecture,
op1(j(e21),j(e23)) = j(op2(e21,e23)),
inference(cnf_transformation,[],[f198]) ).
tcf(c_237,negated_conjecture,
op1(j(e22),j(e22)) = j(op2(e22,e22)),
inference(cnf_transformation,[],[f193]) ).
tcf(c_242,negated_conjecture,
op1(j(e23),j(e21)) = j(op2(e23,e21)),
inference(cnf_transformation,[],[f188]) ).
tcf(c_244,negated_conjecture,
op1(j(e23),j(e23)) = j(op2(e23,e23)),
inference(cnf_transformation,[],[f186]) ).
tcf(c_248,negated_conjecture,
op1(j(e24),j(e21)) = j(op2(e24,e21)),
inference(cnf_transformation,[],[f182]) ).
tcf(c_250,negated_conjecture,
op1(j(e24),j(e23)) = j(op2(e24,e23)),
inference(cnf_transformation,[],[f180]) ).
tcf(c_251,negated_conjecture,
op1(j(e24),j(e24)) = j(op2(e24,e24)),
inference(cnf_transformation,[],[f179]) ).
tcf(c_259,negated_conjecture,
h(j(e20)) = e20,
inference(cnf_transformation,[],[f171]) ).
tcf(c_260,negated_conjecture,
h(j(e21)) = e21,
inference(cnf_transformation,[],[f170]) ).
tcf(c_262,negated_conjecture,
h(j(e23)) = e23,
inference(cnf_transformation,[],[f168]) ).
tcf(c_263,negated_conjecture,
h(j(e24)) = e24,
inference(cnf_transformation,[],[f167]) ).
tcf(c_265,negated_conjecture,
j(h(e10)) = e10,
inference(cnf_transformation,[],[f165]) ).
tcf(c_278,negated_conjecture,
( ( j(e21) = e15 )
| ( j(e21) = e14 )
| ( j(e21) = e13 )
| ( j(e21) = e12 )
| ( j(e21) = e11 )
| ( j(e21) = e10 ) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_281,negated_conjecture,
( ( j(e24) = e15 )
| ( j(e24) = e14 )
| ( j(e24) = e13 )
| ( j(e24) = e12 )
| ( j(e24) = e11 )
| ( j(e24) = e10 ) ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_878,plain,
op1(j(e24),j(e24)) = j(e23),
inference(light_normalisation,[status(thm)],[c_251,c_179]) ).
tcf(c_879,plain,
op1(j(e24),j(e23)) = j(e20),
inference(light_normalisation,[status(thm)],[c_250,c_178]) ).
tcf(c_881,plain,
op1(j(e24),j(e21)) = j(e22),
inference(light_normalisation,[status(thm)],[c_248,c_176]) ).
tcf(c_885,plain,
op1(j(e23),j(e23)) = j(e24),
inference(light_normalisation,[status(thm)],[c_244,c_172]) ).
tcf(c_887,plain,
op1(j(e23),j(e21)) = j(e25),
inference(light_normalisation,[status(thm)],[c_242,c_170]) ).
tcf(c_892,plain,
op1(j(e22),j(e22)) = j(e20),
inference(light_normalisation,[status(thm)],[c_237,c_165]) ).
tcf(c_897,plain,
op1(j(e21),j(e23)) = j(e22),
inference(light_normalisation,[status(thm)],[c_232,c_160]) ).
tcf(c_899,plain,
op1(j(e21),j(e21)) = j(e20),
inference(light_normalisation,[status(thm)],[c_230,c_158]) ).
tcf(c_921,plain,
op2(h(e13),h(e13)) = h(e12),
inference(light_normalisation,[status(thm)],[c_208,c_136]) ).
tcf(c_922,plain,
op2(h(e13),h(e12)) = h(e10),
inference(light_normalisation,[status(thm)],[c_207,c_135]) ).
tcf(c_927,plain,
op2(h(e12),h(e13)) = h(e10),
inference(light_normalisation,[status(thm)],[c_202,c_130]) ).
tcf(c_928,plain,
op2(h(e12),h(e12)) = h(e13),
inference(light_normalisation,[status(thm)],[c_201,c_129]) ).
tcf(c_935,plain,
op2(h(e11),h(e11)) = h(e10),
inference(light_normalisation,[status(thm)],[c_194,c_122]) ).
tcf(c_942,plain,
op2(h(e10),h(e10)) = h(e10),
inference(light_normalisation,[status(thm)],[c_187,c_115]) ).
tcf(c_1087,definition,
iPr_def_10 = h(e10),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1088,definition,
iPr_def_11 = op2(iPr_def_10,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1089,definition,
iPr_def_12 = h(e11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1091,definition,
iPr_def_14 = h(e12),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1093,definition,
iPr_def_16 = h(e13),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_1100,definition,
iPr_def_23 = op2(iPr_def_12,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_1107,definition,
iPr_def_30 = op2(iPr_def_14,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_1108,definition,
iPr_def_31 = op2(iPr_def_14,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_31])],[]) ).
tcf(c_1113,definition,
iPr_def_36 = op2(iPr_def_16,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_36])],[]) ).
tcf(c_1114,definition,
iPr_def_37 = op2(iPr_def_16,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_37])],[]) ).
tcf(c_1129,definition,
iPr_def_52 = j(e20),
introduced(definition,[new_symbols(definition,[iPr_def_52])],[]) ).
tcf(c_1142,definition,
iPr_def_65 = op1(iPr_def_54,iPr_def_54),
introduced(definition,[new_symbols(definition,[iPr_def_65])],[]) ).
tcf(c_1144,definition,
iPr_def_67 = op1(iPr_def_54,iPr_def_58),
introduced(definition,[new_symbols(definition,[iPr_def_67])],[]) ).
tcf(c_1149,definition,
iPr_def_72 = op1(iPr_def_56,iPr_def_56),
introduced(definition,[new_symbols(definition,[iPr_def_72])],[]) ).
tcf(c_1154,definition,
iPr_def_77 = op1(iPr_def_58,iPr_def_54),
introduced(definition,[new_symbols(definition,[iPr_def_77])],[]) ).
tcf(c_1156,definition,
iPr_def_79 = op1(iPr_def_58,iPr_def_58),
introduced(definition,[new_symbols(definition,[iPr_def_79])],[]) ).
tcf(c_1160,definition,
iPr_def_83 = op1(iPr_def_60,iPr_def_54),
introduced(definition,[new_symbols(definition,[iPr_def_83])],[]) ).
tcf(c_1162,definition,
iPr_def_85 = op1(iPr_def_60,iPr_def_58),
introduced(definition,[new_symbols(definition,[iPr_def_85])],[]) ).
tcf(c_1163,definition,
iPr_def_86 = op1(iPr_def_60,iPr_def_60),
introduced(definition,[new_symbols(definition,[iPr_def_86])],[]) ).
tcf(c_1176,definition,
iPr_def_99 = j(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_99])],[]) ).
tcf(c_1178,definition,
iPr_def_101 = h(iPr_def_60),
introduced(definition,[new_symbols(definition,[iPr_def_101])],[]) ).
tcf(c_1179,definition,
iPr_def_102 = h(iPr_def_58),
introduced(definition,[new_symbols(definition,[iPr_def_102])],[]) ).
tcf(c_1181,definition,
iPr_def_104 = h(iPr_def_54),
introduced(definition,[new_symbols(definition,[iPr_def_104])],[]) ).
tcf(c_1182,definition,
iPr_def_105 = h(iPr_def_52),
introduced(definition,[new_symbols(definition,[iPr_def_105])],[]) ).
tcf(c_1183,plain,
iPr_def_11 = iPr_def_10,
inference(demodulation,[status(thm)],[c_942,c_1087,c_1088]) ).
tcf(c_1190,plain,
iPr_def_23 = iPr_def_10,
inference(demodulation,[status(thm)],[c_935,c_1100]) ).
tcf(c_1197,plain,
iPr_def_30 = iPr_def_16,
inference(demodulation,[status(thm)],[c_928,c_1107]) ).
tcf(c_1198,plain,
iPr_def_31 = iPr_def_10,
inference(demodulation,[status(thm)],[c_927,c_1108]) ).
tcf(c_1203,plain,
iPr_def_36 = iPr_def_10,
inference(demodulation,[status(thm)],[c_922,c_1113]) ).
tcf(c_1204,plain,
iPr_def_37 = iPr_def_14,
inference(demodulation,[status(thm)],[c_921,c_1114]) ).
tcf(c_1226,plain,
iPr_def_65 = iPr_def_52,
inference(demodulation,[status(thm)],[c_899,c_1142]) ).
tcf(c_1228,plain,
iPr_def_67 = iPr_def_56,
inference(demodulation,[status(thm)],[c_897,c_1144]) ).
tcf(c_1233,plain,
iPr_def_72 = iPr_def_52,
inference(demodulation,[status(thm)],[c_892,c_1149]) ).
tcf(c_1238,plain,
iPr_def_77 = iPr_def_62,
inference(demodulation,[status(thm)],[c_887,c_1154]) ).
tcf(c_1240,plain,
iPr_def_79 = iPr_def_60,
inference(demodulation,[status(thm)],[c_885,c_1156]) ).
tcf(c_1244,plain,
iPr_def_83 = iPr_def_56,
inference(demodulation,[status(thm)],[c_881,c_1160]) ).
tcf(c_1246,plain,
iPr_def_85 = iPr_def_52,
inference(demodulation,[status(thm)],[c_879,c_1162]) ).
tcf(c_1247,plain,
iPr_def_86 = iPr_def_58,
inference(demodulation,[status(thm)],[c_878,c_1163]) ).
tcf(c_1256,negated_conjecture,
( ( iPr_def_60 = e15 )
| ( iPr_def_60 = e14 )
| ( iPr_def_60 = e13 )
| ( iPr_def_60 = e12 )
| ( iPr_def_60 = e11 )
| ( iPr_def_60 = e10 ) ),
inference(demodulation,[status(thm)],[c_281]) ).
tcf(c_1259,negated_conjecture,
( ( iPr_def_54 = e15 )
| ( iPr_def_54 = e14 )
| ( iPr_def_54 = e13 )
| ( iPr_def_54 = e12 )
| ( iPr_def_54 = e11 )
| ( iPr_def_54 = e10 ) ),
inference(demodulation,[status(thm)],[c_278]) ).
tcf(c_1272,negated_conjecture,
iPr_def_99 = e10,
inference(demodulation,[status(thm)],[c_265,c_1176]) ).
tcf(c_1274,negated_conjecture,
iPr_def_101 = e24,
inference(demodulation,[status(thm)],[c_263,c_1178]) ).
tcf(c_1275,negated_conjecture,
iPr_def_102 = e23,
inference(demodulation,[status(thm)],[c_262,c_1179]) ).
tcf(c_1277,negated_conjecture,
iPr_def_104 = e21,
inference(demodulation,[status(thm)],[c_260,c_1181]) ).
tcf(c_1278,negated_conjecture,
iPr_def_105 = e20,
inference(demodulation,[status(thm)],[c_259,c_1182]) ).
tcf(c_2273,plain,
op2(iPr_def_10,iPr_def_10) = iPr_def_10,
inference(light_normalisation,[status(thm)],[c_1088,c_1183]) ).
tcf(c_2756,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_2273,c_1278,c_1277,c_1275,c_1274,c_1272,c_1259,c_1256,c_1247,c_1246,c_1244,c_1240,c_1238,c_1233,c_1228,c_1226,c_1204,c_1203,c_1198,c_1197,c_1190,c_1182,c_1181,c_1179,c_1178,c_1176,c_1163,c_1162,c_1160,c_1156,c_1154,c_1149,c_1144,c_1142,c_1129,c_1114,c_1113,c_1108,c_1107,c_1100,c_1093,c_1091,c_1089,c_1087,c_179,c_178,c_172,c_150,c_147,c_143,c_136,c_134,c_129,c_124,c_76,c_71,c_70,c_64,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG031+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Fri Sep 25 04:35:09 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 0.60/0.96 % SZS status Started for theBenchmark.p
% 0.60/0.96 % SZS status Theorem for theBenchmark.p
% 0.60/0.96
% 0.60/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.60/0.96
% 0.60/0.96 % ------ iProver source info
% 0.60/0.96
% 0.60/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 0.60/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.60/0.96 % git: non_committed_changes: false
% 0.60/0.96
% 0.60/0.96 % ------ Parsing...
% 0.60/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.60/0.96
% 0.60/0.96 % ------ Preprocessing... sup_sim: 72 sf_s rm: 0 0s sf_e pe_s pe_e %
% 0.60/0.96
% 0.60/0.96 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 0.60/0.96
% 0.60/0.96 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 0.60/0.96 % ------ Proving...
% 0.60/0.96 % ------ Problem Properties
% 0.60/0.96
% 0.60/0.96 %
% 0.60/0.96 % clauses 330
% 0.60/0.96 % conjectures 24
% 0.60/0.96 % EPR 162
% 0.60/0.96 % Horn 318
% 0.60/0.96 % unary 318
% 0.60/0.96 % binary 0
% 0.60/0.96 % lits 390
% 0.60/0.96 % lits eq 390
% 0.60/0.96 % fd_pure 0
% 0.60/0.96 % fd_pseudo 0
% 0.60/0.96 % fd_cond 0
% 0.60/0.96 % fd_pseudo_cond 0
% 0.60/0.96 % AC symbols 0
% 0.60/0.96
% 0.60/0.96 % ------ Schedule dynamic 5 is on
% 0.60/0.96
% 0.60/0.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 % ------
% 0.60/0.96 % Current options:
% 0.60/0.96 % ------
% 0.60/0.96
% 0.60/0.96
% 0.60/0.96 %
% 0.60/0.96
% 0.60/0.96 % ------ Proving...
% 0.60/0.96 %
% 0.60/0.96
% 0.60/0.96 % SZS status Theorem for theBenchmark.p
% 0.60/0.96
% 0.60/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.60/0.97
% 0.60/0.97
%------------------------------------------------------------------------------