%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG185+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 : Thu Sep 24 11:55:18 AM UTC 2026
% Result : Theorem 0.42s 0.55s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 6
% Syntax : Number of formulae : 230 ( 109 unt; 0 def)
% Number of atoms : 1212 (1191 equ)
% Maximal formula atoms : 110 ( 5 avg)
% Number of connectives : 1070 ( 88 ~; 593 |; 384 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& 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,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,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,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,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(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,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,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,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,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/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax5,axiom,
( op2(e24,e24) = e24
& op2(e24,e23) = e21
& op2(e24,e22) = e20
& op2(e24,e21) = e22
& op2(e24,e20) = e23
& op2(e23,e24) = e22
& op2(e23,e23) = e23
& op2(e23,e22) = e21
& op2(e23,e21) = e20
& op2(e23,e20) = e24
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e22
& op2(e22,e21) = e24
& op2(e22,e20) = e21
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& op2(e21,e21) = e21
& op2(e21,e20) = e22
& op2(e20,e24) = e21
& op2(e20,e23) = e22
& op2(e20,e22) = e24
& op2(e20,e21) = e23
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax4,axiom,
( op1(e14,e14) = e14
& op1(e14,e13) = e10
& op1(e14,e12) = e11
& op1(e14,e11) = e12
& op1(e14,e10) = e13
& op1(e13,e14) = e11
& op1(e13,e13) = e13
& op1(e13,e12) = e10
& op1(e13,e11) = e14
& op1(e13,e10) = e12
& op1(e12,e14) = e13
& op1(e12,e13) = e14
& op1(e12,e12) = e12
& op1(e12,e11) = e10
& op1(e12,e10) = e11
& op1(e11,e14) = e10
& op1(e11,e13) = e12
& op1(e11,e12) = e13
& op1(e11,e11) = e11
& op1(e11,e10) = e14
& op1(e10,e14) = e12
& op1(e10,e13) = e11
& op1(e10,e12) = e14
& op1(e10,e11) = e13
& op1(e10,e10) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(ax2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(c_0_5,plain,
( epred1_0
<=> ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ) ),
introduced(definition) ).
fof(c_0_6,negated_conjecture,
~ ( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& 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,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,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,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,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(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,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,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,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,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(assume_negation,[status(cth)],[co1]) ).
fof(c_0_7,plain,
( epred1_0
=> ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_8,negated_conjecture,
~ ( epred1_0
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& 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,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,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,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,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(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,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,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,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,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(apply_def,[status(thm)],[c_0_6,c_0_5]) ).
fof(c_0_9,plain,
( ( ~ epred1_0
| j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( ~ epred1_0
| j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( ~ epred1_0
| j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( ~ epred1_0
| j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( ~ epred1_0
| j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( ~ epred1_0
| h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( ~ epred1_0
| h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( ~ epred1_0
| h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( ~ epred1_0
| h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( ~ epred1_0
| h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_10,negated_conjecture,
( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& 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,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,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,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,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(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,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,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,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,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))
& epred1_0 ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( ~ epred1_0
| h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
j(h(e10)) = e10,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).
cnf(c_0_15,negated_conjecture,
( j(e24) = e10
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,negated_conjecture,
( j(e23) = e10
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| j(e24) = e10 ),
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_17,negated_conjecture,
j(op2(e22,e24)) = op1(j(e22),j(e24)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
op2(e22,e24) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_19,plain,
( ~ epred1_0
| j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,negated_conjecture,
( j(e22) = e10
| j(e24) = e10
| h(e10) = e21
| h(e10) = e20
| j(e23) = e10 ),
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
j(op2(e22,e23)) = op1(j(e22),j(e23)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_22,plain,
op2(e22,e23) = e20,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_23,negated_conjecture,
op1(j(e22),j(e24)) = j(e23),
inference(rw,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_12])]) ).
cnf(c_0_25,negated_conjecture,
( j(e21) = e10
| j(e23) = e10
| h(e10) = e20
| j(e24) = e10
| j(e22) = e10 ),
inference(spm,[status(thm)],[c_0_13,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
op1(j(e22),j(e23)) = j(e20),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| op1(e14,j(e24)) = j(e23) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( j(e20) = e10
| j(e22) = e10
| j(e24) = e10
| j(e23) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[c_0_13,c_0_25]) ).
cnf(c_0_29,plain,
op1(e14,e10) = e13,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_30,negated_conjecture,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,plain,
op1(e10,e14) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_32,negated_conjecture,
h(j(e22)) = e22,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,negated_conjecture,
( j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| op1(e14,j(e23)) = j(e20) ),
inference(spm,[status(thm)],[c_0_26,c_0_24]) ).
cnf(c_0_34,negated_conjecture,
( j(e23) = e13
| j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e21) = e10
| j(e23) = e10
| j(e20) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_35,plain,
op1(e14,e13) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_36,negated_conjecture,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,negated_conjecture,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,plain,
op1(e12,e14) = e13,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_39,negated_conjecture,
op2(h(e10),h(e14)) = h(e12),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( h(e14) = e22
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(spm,[status(thm)],[c_0_32,c_0_24]) ).
cnf(c_0_41,negated_conjecture,
h(j(e23)) = e23,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_42,negated_conjecture,
( j(e20) = e10
| j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e23) = e10
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_43,negated_conjecture,
op2(h(e14),h(e10)) = h(e13),
inference(rw,[status(thm)],[c_0_36,c_0_29]) ).
cnf(c_0_44,negated_conjecture,
op2(h(e12),h(e14)) = h(e13),
inference(rw,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| op2(h(e10),e22) = h(e12) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,negated_conjecture,
( h(e10) = e23
| j(e21) = e10
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,plain,
op2(e23,e22) = e21,
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_48,plain,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_simplification,[status(thm)],[ax2]) ).
cnf(c_0_49,negated_conjecture,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| op2(e22,h(e10)) = h(e13) ),
inference(spm,[status(thm)],[c_0_43,c_0_40]) ).
cnf(c_0_50,negated_conjecture,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| op2(h(e12),e22) = h(e13) ),
inference(spm,[status(thm)],[c_0_44,c_0_40]) ).
cnf(c_0_51,negated_conjecture,
( h(e12) = e21
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_52,plain,
op2(e21,e22) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
fof(c_0_53,plain,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_nnf,[status(thm)],[c_0_48]) ).
fof(c_0_54,plain,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_simplification,[status(thm)],[ax1]) ).
cnf(c_0_55,negated_conjecture,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_56,plain,
op2(e23,e24) = e22,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_57,negated_conjecture,
( h(e13) = e20
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_46]),c_0_22]) ).
cnf(c_0_58,negated_conjecture,
( h(e13) = e23
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| j(e21) = e10
| j(e20) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_59,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_60,plain,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_nnf,[status(thm)],[c_0_54]) ).
cnf(c_0_61,negated_conjecture,
op1(j(e23),j(e24)) = j(e22),
inference(rw,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,negated_conjecture,
( j(e21) = e10
| j(e23) = e10
| j(e22) = e10
| j(e20) = e10
| op1(j(e22),e10) = j(e23) ),
inference(spm,[status(thm)],[c_0_23,c_0_28]) ).
cnf(c_0_63,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_64,plain,
op1(e13,e10) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_65,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,negated_conjecture,
h(op1(e10,e13)) = op2(h(e10),h(e13)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_67,plain,
op1(e10,e13) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_68,negated_conjecture,
( j(e21) = e10
| j(e23) = e10
| j(e22) = e10
| j(e20) = e10
| op1(j(e23),e10) = j(e22) ),
inference(spm,[status(thm)],[c_0_61,c_0_28]) ).
cnf(c_0_69,negated_conjecture,
( j(e23) = e12
| j(e20) = e10
| j(e23) = e10
| j(e21) = e10
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]),c_0_65]) ).
cnf(c_0_70,plain,
op1(e12,e10) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_71,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_72,negated_conjecture,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_73,negated_conjecture,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_74,plain,
op1(e11,e13) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_75,negated_conjecture,
op2(h(e10),h(e13)) = h(e11),
inference(rw,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_76,negated_conjecture,
( h(e13) = e22
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[c_0_32,c_0_63]) ).
cnf(c_0_77,negated_conjecture,
( j(e22) = e11
| j(e20) = e10
| j(e22) = e10
| j(e21) = e10
| j(e22) = e12
| j(e23) = e10 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]),c_0_71]) ).
cnf(c_0_78,negated_conjecture,
op2(h(e13),h(e10)) = h(e12),
inference(rw,[status(thm)],[c_0_72,c_0_64]) ).
cnf(c_0_79,negated_conjecture,
op2(h(e11),h(e13)) = h(e12),
inference(rw,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| op2(h(e10),e22) = h(e11) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,negated_conjecture,
( h(e10) = e23
| j(e22) = e12
| j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e22) = e11 ),
inference(spm,[status(thm)],[c_0_41,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| op2(e22,h(e10)) = h(e12) ),
inference(spm,[status(thm)],[c_0_78,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| op2(h(e11),e22) = h(e12) ),
inference(spm,[status(thm)],[c_0_79,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
( h(e11) = e21
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_47]) ).
cnf(c_0_85,negated_conjecture,
( h(e12) = e20
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_81]),c_0_22]) ).
cnf(c_0_86,negated_conjecture,
( h(e12) = e23
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_52]) ).
cnf(c_0_87,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| j(e22) = e11
| j(e22) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_59]) ).
cnf(c_0_88,negated_conjecture,
h(op1(e10,e12)) = op2(h(e10),h(e12)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_89,plain,
op1(e10,e12) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_90,negated_conjecture,
( j(e22) = e11
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10
| op1(e12,j(e23)) = j(e20) ),
inference(spm,[status(thm)],[c_0_26,c_0_87]) ).
cnf(c_0_91,negated_conjecture,
( j(e23) = e11
| j(e20) = e10
| j(e23) = e10
| j(e21) = e10
| j(e22) = e11
| j(e22) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_87]),c_0_70]),c_0_71]) ).
cnf(c_0_92,plain,
op1(e12,e11) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_93,negated_conjecture,
h(op1(e12,e10)) = op2(h(e12),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_94,negated_conjecture,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_95,plain,
op1(e14,e12) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_96,negated_conjecture,
op2(h(e10),h(e12)) = h(e14),
inference(rw,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_97,negated_conjecture,
( h(e12) = e22
| j(e22) = e11
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[c_0_32,c_0_87]) ).
cnf(c_0_98,negated_conjecture,
( j(e20) = e10
| j(e21) = e10
| j(e22) = e10
| j(e22) = e11
| j(e23) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92])]) ).
cnf(c_0_99,negated_conjecture,
op2(h(e12),h(e10)) = h(e11),
inference(rw,[status(thm)],[c_0_93,c_0_70]) ).
cnf(c_0_100,negated_conjecture,
op2(h(e14),h(e12)) = h(e11),
inference(rw,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_101,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| j(e22) = e11
| op2(h(e10),e22) = h(e14) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_102,negated_conjecture,
( h(e10) = e23
| j(e22) = e11
| j(e22) = e10
| j(e21) = e10
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_41,c_0_98]) ).
cnf(c_0_103,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| j(e22) = e11
| op2(e22,h(e10)) = h(e11) ),
inference(spm,[status(thm)],[c_0_99,c_0_97]) ).
cnf(c_0_104,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| j(e22) = e11
| op2(h(e14),e22) = h(e11) ),
inference(spm,[status(thm)],[c_0_100,c_0_97]) ).
cnf(c_0_105,negated_conjecture,
( h(e14) = e21
| j(e22) = e11
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_47]) ).
cnf(c_0_106,negated_conjecture,
( h(e11) = e20
| j(e22) = e11
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_102]),c_0_22]) ).
cnf(c_0_107,negated_conjecture,
( h(e11) = e23
| j(e22) = e11
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_52]) ).
cnf(c_0_108,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| j(e22) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_59]) ).
cnf(c_0_109,plain,
op1(e11,e10) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_110,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_111,negated_conjecture,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_112,plain,
op1(e10,e11) = e13,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_113,negated_conjecture,
( j(e22) = e10
| j(e20) = e10
| j(e21) = e10
| op1(e11,j(e23)) = j(e20) ),
inference(spm,[status(thm)],[c_0_26,c_0_108]) ).
cnf(c_0_114,negated_conjecture,
( j(e23) = e14
| j(e20) = e10
| j(e23) = e10
| j(e21) = e10
| j(e22) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_108]),c_0_109]),c_0_110]) ).
cnf(c_0_115,plain,
op1(e11,e14) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_116,negated_conjecture,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_117,negated_conjecture,
h(op1(e13,e11)) = op2(h(e13),h(e11)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_118,plain,
op1(e13,e11) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_119,negated_conjecture,
op2(h(e10),h(e11)) = h(e13),
inference(rw,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_120,negated_conjecture,
( h(e11) = e22
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[c_0_32,c_0_108]) ).
cnf(c_0_121,negated_conjecture,
( j(e20) = e10
| j(e21) = e10
| j(e22) = e10
| j(e23) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115])]) ).
cnf(c_0_122,negated_conjecture,
op2(h(e11),h(e10)) = h(e14),
inference(rw,[status(thm)],[c_0_116,c_0_109]) ).
cnf(c_0_123,negated_conjecture,
op2(h(e13),h(e11)) = h(e14),
inference(rw,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_124,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| op2(h(e10),e22) = h(e13) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,negated_conjecture,
( h(e10) = e23
| j(e22) = e10
| j(e21) = e10
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_41,c_0_121]) ).
cnf(c_0_126,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| op2(e22,h(e10)) = h(e14) ),
inference(spm,[status(thm)],[c_0_122,c_0_120]) ).
cnf(c_0_127,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10
| op2(h(e13),e22) = h(e14) ),
inference(spm,[status(thm)],[c_0_123,c_0_120]) ).
cnf(c_0_128,negated_conjecture,
( h(e13) = e21
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_47]) ).
cnf(c_0_129,negated_conjecture,
j(op2(e21,e22)) = op1(j(e21),j(e22)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_130,plain,
( ~ epred1_0
| j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_131,negated_conjecture,
j(op2(e23,e22)) = op1(j(e23),j(e22)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_132,negated_conjecture,
( h(e14) = e20
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_125]),c_0_22]) ).
cnf(c_0_133,negated_conjecture,
( h(e14) = e23
| j(e22) = e10
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_52]) ).
cnf(c_0_134,negated_conjecture,
op1(j(e21),j(e22)) = j(e23),
inference(rw,[status(thm)],[c_0_129,c_0_52]) ).
cnf(c_0_135,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_12])]) ).
cnf(c_0_136,negated_conjecture,
op1(j(e23),j(e22)) = j(e21),
inference(rw,[status(thm)],[c_0_131,c_0_47]) ).
cnf(c_0_137,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e22) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_59]) ).
cnf(c_0_138,negated_conjecture,
( j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| op1(e14,j(e22)) = j(e23) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_139,negated_conjecture,
( j(e20) = e10
| j(e21) = e10
| op1(j(e23),e10) = j(e21) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_140,negated_conjecture,
( j(e23) = e13
| j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e20) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_137]),c_0_29]) ).
cnf(c_0_141,negated_conjecture,
( j(e20) = e10
| j(e21) = e10
| op1(j(e21),e10) = j(e23) ),
inference(spm,[status(thm)],[c_0_134,c_0_137]) ).
cnf(c_0_142,negated_conjecture,
( j(e21) = e12
| j(e21) = e10
| j(e20) = e10
| j(e21) = e13
| j(e21) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_64])]) ).
cnf(c_0_143,negated_conjecture,
( j(e23) = e12
| j(e20) = e10
| j(e21) = e11
| j(e21) = e10
| j(e21) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_64]),c_0_65]) ).
cnf(c_0_144,negated_conjecture,
( j(e21) = e11
| j(e21) = e10
| j(e20) = e10
| j(e21) = e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_143]),c_0_70])]) ).
cnf(c_0_145,negated_conjecture,
( j(e23) = e11
| j(e20) = e10
| j(e21) = e10
| j(e21) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_144]),c_0_70]),c_0_71]) ).
cnf(c_0_146,negated_conjecture,
( j(e21) = e14
| j(e21) = e10
| j(e20) = e10
| j(e21) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_145]),c_0_109]) ).
cnf(c_0_147,plain,
e12 != e14,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_148,plain,
e10 != e14,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_149,plain,
e11 != e14,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_150,negated_conjecture,
( j(e20) = e10
| j(e21) = e11
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_146]),c_0_147]),c_0_148]),c_0_149]) ).
cnf(c_0_151,negated_conjecture,
( j(e23) = e14
| j(e20) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_150]),c_0_109]),c_0_110]) ).
cnf(c_0_152,negated_conjecture,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_153,plain,
op2(e20,e21) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_154,plain,
( ~ epred1_0
| j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_155,negated_conjecture,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_156,plain,
op2(e23,e21) = e20,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_157,negated_conjecture,
( j(e21) = e13
| j(e21) = e10
| j(e20) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_151]),c_0_29]) ).
cnf(c_0_158,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_159,negated_conjecture,
op1(j(e20),j(e21)) = j(e23),
inference(rw,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_160,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_12])]) ).
cnf(c_0_161,negated_conjecture,
op1(j(e23),j(e21)) = j(e20),
inference(rw,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_162,negated_conjecture,
( j(e20) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_157]),c_0_65]),c_0_158]) ).
cnf(c_0_163,negated_conjecture,
( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| op1(e14,j(e21)) = j(e23) ),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_164,negated_conjecture,
( j(e20) = e10
| op1(j(e23),e10) = j(e20) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_165,negated_conjecture,
( j(e23) = e13
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_162]),c_0_29]) ).
cnf(c_0_166,negated_conjecture,
( j(e20) = e10
| op1(j(e20),e10) = j(e23) ),
inference(spm,[status(thm)],[c_0_159,c_0_162]) ).
cnf(c_0_167,negated_conjecture,
( j(e20) = e12
| j(e20) = e10
| j(e20) = e13
| j(e20) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_64])]) ).
cnf(c_0_168,negated_conjecture,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_169,plain,
op2(e21,e23) = e24,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_170,negated_conjecture,
( j(e23) = e12
| j(e20) = e11
| j(e20) = e10
| j(e20) = e12 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_64]),c_0_65]) ).
cnf(c_0_171,plain,
( ~ epred1_0
| h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_172,negated_conjecture,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_173,plain,
op2(e21,e24) = e20,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_174,negated_conjecture,
op1(j(e21),j(e23)) = j(e24),
inference(rw,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_175,negated_conjecture,
( j(e20) = e11
| j(e20) = e10
| j(e20) = e12 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_170]),c_0_70])]) ).
cnf(c_0_176,negated_conjecture,
j(h(e11)) = e11,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_177,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_171,c_0_12])]) ).
cnf(c_0_178,negated_conjecture,
op1(j(e21),j(e24)) = j(e20),
inference(rw,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_179,negated_conjecture,
( j(e20) = e10
| op1(e10,j(e23)) = j(e24) ),
inference(spm,[status(thm)],[c_0_174,c_0_162]) ).
cnf(c_0_180,negated_conjecture,
( j(e23) = e11
| j(e20) = e10
| j(e20) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_175]),c_0_70]),c_0_71]) ).
cnf(c_0_181,negated_conjecture,
( j(e24) = e11
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_182,negated_conjecture,
( j(e20) = e10
| op1(e10,j(e24)) = j(e20) ),
inference(spm,[status(thm)],[c_0_178,c_0_162]) ).
cnf(c_0_183,negated_conjecture,
( j(e24) = e13
| j(e20) = e10
| j(e20) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_112]) ).
cnf(c_0_184,negated_conjecture,
( j(e23) = e11
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| j(e24) = e11 ),
inference(spm,[status(thm)],[c_0_176,c_0_181]) ).
cnf(c_0_185,negated_conjecture,
( j(e20) = e11
| j(e20) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_67])]) ).
cnf(c_0_186,negated_conjecture,
( j(e22) = e11
| j(e24) = e11
| h(e11) = e21
| h(e11) = e20
| j(e23) = e11 ),
inference(spm,[status(thm)],[c_0_176,c_0_184]) ).
cnf(c_0_187,negated_conjecture,
( j(e23) = e14
| j(e20) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_185]),c_0_109]),c_0_110]) ).
cnf(c_0_188,negated_conjecture,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_189,plain,
op2(e24,e20) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_190,negated_conjecture,
( j(e21) = e11
| j(e23) = e11
| h(e11) = e20
| j(e24) = e11
| j(e22) = e11 ),
inference(spm,[status(thm)],[c_0_176,c_0_186]) ).
cnf(c_0_191,negated_conjecture,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_192,plain,
op2(e23,e20) = e24,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_193,negated_conjecture,
( j(e20) = e13
| j(e20) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_187]),c_0_29]) ).
cnf(c_0_194,negated_conjecture,
op1(j(e24),j(e20)) = j(e23),
inference(rw,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_195,negated_conjecture,
( j(e20) = e11
| j(e22) = e11
| j(e24) = e11
| j(e23) = e11
| j(e21) = e11 ),
inference(spm,[status(thm)],[c_0_176,c_0_190]) ).
cnf(c_0_196,negated_conjecture,
op1(j(e23),j(e20)) = j(e24),
inference(rw,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_197,negated_conjecture,
j(e20) = e10,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_193]),c_0_65]),c_0_158]) ).
cnf(c_0_198,negated_conjecture,
( j(e21) = e11
| j(e23) = e11
| j(e22) = e11
| j(e20) = e11
| op1(e11,j(e20)) = j(e23) ),
inference(spm,[status(thm)],[c_0_194,c_0_195]) ).
cnf(c_0_199,negated_conjecture,
op1(j(e23),e10) = j(e24),
inference(rw,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_200,negated_conjecture,
( j(e23) = e14
| j(e22) = e11
| j(e23) = e11
| j(e21) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_197]),c_0_109]),c_0_197]),c_0_110]) ).
cnf(c_0_201,negated_conjecture,
( j(e21) = e11
| j(e23) = e11
| j(e24) = e11
| j(e22) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_197]),c_0_110]) ).
cnf(c_0_202,negated_conjecture,
( j(e24) = e13
| j(e21) = e11
| j(e23) = e11
| j(e22) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_29]) ).
cnf(c_0_203,negated_conjecture,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_204,plain,
op2(e20,e23) = e22,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_205,negated_conjecture,
( j(e22) = e11
| j(e23) = e11
| j(e21) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_158]) ).
cnf(c_0_206,negated_conjecture,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_207,plain,
op2(e20,e22) = e24,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_208,negated_conjecture,
op1(j(e20),j(e23)) = j(e22),
inference(rw,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_209,negated_conjecture,
op1(j(e24),e10) = j(e23),
inference(rw,[status(thm)],[c_0_194,c_0_197]) ).
cnf(c_0_210,negated_conjecture,
( j(e24) = e14
| j(e21) = e11
| j(e22) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_205]),c_0_109]) ).
cnf(c_0_211,negated_conjecture,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_212,plain,
op2(e20,e24) = e21,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_213,negated_conjecture,
op1(j(e20),j(e22)) = j(e24),
inference(rw,[status(thm)],[c_0_206,c_0_207]) ).
cnf(c_0_214,negated_conjecture,
op1(e10,j(e23)) = j(e22),
inference(rw,[status(thm)],[c_0_208,c_0_197]) ).
cnf(c_0_215,negated_conjecture,
( j(e23) = e13
| j(e22) = e11
| j(e21) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_29]) ).
cnf(c_0_216,negated_conjecture,
op1(j(e20),j(e24)) = j(e21),
inference(rw,[status(thm)],[c_0_211,c_0_212]) ).
cnf(c_0_217,negated_conjecture,
op1(e10,j(e22)) = j(e24),
inference(rw,[status(thm)],[c_0_213,c_0_197]) ).
cnf(c_0_218,negated_conjecture,
( j(e22) = e11
| j(e21) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_67])]) ).
cnf(c_0_219,negated_conjecture,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_220,plain,
op2(e21,e20) = e22,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_221,negated_conjecture,
op1(e10,j(e24)) = j(e21),
inference(rw,[status(thm)],[c_0_216,c_0_197]) ).
cnf(c_0_222,negated_conjecture,
( j(e24) = e13
| j(e21) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_112]) ).
cnf(c_0_223,negated_conjecture,
op1(j(e21),j(e20)) = j(e22),
inference(rw,[status(thm)],[c_0_219,c_0_220]) ).
cnf(c_0_224,negated_conjecture,
op1(e10,j(e21)) = j(e23),
inference(rw,[status(thm)],[c_0_159,c_0_197]) ).
cnf(c_0_225,negated_conjecture,
j(e21) = e11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_222]),c_0_67])]) ).
cnf(c_0_226,negated_conjecture,
op1(j(e21),e10) = j(e22),
inference(rw,[status(thm)],[c_0_223,c_0_197]) ).
cnf(c_0_227,negated_conjecture,
j(e23) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_224,c_0_225]),c_0_112]) ).
cnf(c_0_228,negated_conjecture,
j(e22) = e14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_225]),c_0_109]) ).
cnf(c_0_229,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_214,c_0_227]),c_0_67]),c_0_228]),c_0_149]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG185+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 12:58:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.55 % Version: 3.5.1
% 0.42/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.42/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.42/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.42/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.42/0.55 % Starting sh5l with 300s (1) cores
% 0.42/0.55 % new_bool_1 with pid 1129580 completed with status 0
% 0.42/0.55 % Result found by new_bool_1
% 0.42/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.42/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.42/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.42/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.42/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.42/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.42/0.55 % Search class: FGUSF-FFMM21-SFFFFFNN
% 0.42/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.42/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.42/0.55 % SubtermCWHack with pid 1129586 completed with status 0
% 0.42/0.55 % Result found by SubtermCWHack
% 0.42/0.55 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.42/0.55 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.42/0.55 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.42/0.55 % Starting new_bool_3 with 300s (1) cores
% 0.42/0.55 % Starting new_bool_1 with 300s (1) cores
% 0.42/0.55 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.42/0.55 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.42/0.55 % Search class: FGUSF-FFMM21-SFFFFFNN
% 0.42/0.55 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.42/0.55 % Starting SubtermCWHack with 31s (1) cores
% 0.42/0.55 % Preprocessing time : 0.001 s
% 0.42/0.55
% 0.42/0.55 % Proof found!
% 0.42/0.55 % SZS status Theorem
% 0.42/0.55 % SZS output start CNFRefutation
% See solution above
% 0.42/0.56 % Parsed axioms : 6
% 0.42/0.56 % Removed by relevancy pruning/SinE : 0
% 0.42/0.56 % Initial clauses : 166
% 0.42/0.56 % Removed in clause preprocessing : 0
% 0.42/0.56 % Initial clauses in saturation : 166
% 0.42/0.56 % Processed clauses : 1143
% 0.42/0.56 % ...of these trivial : 0
% 0.42/0.56 % ...subsumed : 244
% 0.42/0.56 % ...remaining for further processing : 898
% 0.42/0.56 % Other redundant clauses eliminated : 0
% 0.42/0.56 % Clauses deleted for lack of memory : 0
% 0.42/0.56 % Backward-subsumed : 248
% 0.42/0.56 % Backward-rewritten : 515
% 0.42/0.56 % Generated clauses : 15128
% 0.42/0.56 % ...of the previous two non-redundant : 15214
% 0.42/0.56 % ...aggressively subsumed : 0
% 0.42/0.56 % Contextual simplify-reflections : 0
% 0.42/0.56 % Paramodulations : 14943
% 0.42/0.56 % Factorizations : 185
% 0.42/0.56 % NegExts : 0
% 0.42/0.56 % Equation resolutions : 0
% 0.42/0.56 % Disequality decompositions : 0
% 0.42/0.56 % Total rewrite steps : 11144
% 0.42/0.56 % ...of those cached : 11079
% 0.42/0.56 % Propositional unsat checks : 0
% 0.42/0.56 % Propositional check models : 0
% 0.42/0.56 % Propositional check unsatisfiable : 0
% 0.42/0.56 % Propositional clauses : 0
% 0.42/0.56 % Propositional clauses after purity: 0
% 0.42/0.56 % Propositional unsat core size : 0
% 0.42/0.56 % Propositional preprocessing time : 0.000
% 0.42/0.56 % Propositional encoding time : 0.000
% 0.42/0.56 % Propositional solver time : 0.000
% 0.42/0.56 % Success case prop preproc time : 0.000
% 0.42/0.56 % Success case prop encoding time : 0.000
% 0.42/0.56 % Success case prop solver time : 0.000
% 0.42/0.56 % Current number of processed clauses : 135
% 0.42/0.56 % Positive orientable unit clauses : 73
% 0.42/0.56 % Positive unorientable unit clauses: 0
% 0.42/0.56 % Negative unit clauses : 45
% 0.42/0.56 % Non-unit-clauses : 17
% 0.42/0.56 % Current number of unprocessed clauses: 13515
% 0.42/0.56 % ...number of literals in the above : 121052
% 0.42/0.56 % Current number of archived formulas : 0
% 0.42/0.56 % Current number of archived clauses : 763
% 0.42/0.56 % Clause-clause subsumption calls (NU) : 2106
% 0.42/0.56 % Rec. Clause-clause subsumption calls : 338
% 0.42/0.56 % Non-unit clause-clause subsumptions : 330
% 0.42/0.56 % Unit Clause-clause subsumption calls : 1789
% 0.42/0.56 % Rewrite failures with RHS unbound : 0
% 0.42/0.56 % BW rewrite match attempts : 14
% 0.42/0.56 % BW rewrite match successes : 14
% 0.42/0.56 % Condensation attempts : 0
% 0.42/0.56 % Condensation successes : 0
% 0.42/0.56 % Termbank termtop insertions : 255896
% 0.42/0.56 % Search garbage collected termcells : 764
% 0.42/0.56
% 0.42/0.56 % -------------------------------------------------
% 0.42/0.56 % User time : 0.111 s
% 0.42/0.56 % System time : 0.008 s
% 0.42/0.56 % Total time : 0.119 s
% 0.42/0.56 % Maximum resident set size: 3696 pages
% 0.42/0.56
% 0.42/0.56 % -------------------------------------------------
% 0.42/0.56 % User time : 0.113 s
% 0.42/0.56 % System time : 0.011 s
% 0.42/0.56 % Total time : 0.124 s
% 0.42/0.56 % Maximum resident set size: 4864 pages
% 0.42/0.56 % E exiting
%------------------------------------------------------------------------------