TSTP Solution File: ALG185+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG185+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 16:49:35 EDT 2022
% Result : Theorem 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 61
% Number of leaves : 6
% Syntax : Number of formulae : 191 ( 76 unt; 0 def)
% Number of atoms : 1001 ( 980 equ)
% Maximal formula atoms : 110 ( 5 avg)
% Number of connectives : 858 ( 48 ~; 526 |; 280 &)
% ( 1 <=>; 3 =>; 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,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(ax5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e23
& op2(e20,e22) = e24
& op2(e20,e23) = e22
& op2(e20,e24) = e21
& op2(e21,e20) = e22
& op2(e21,e21) = e21
& op2(e21,e22) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e20
& op2(e22,e20) = e21
& op2(e22,e21) = e24
& op2(e22,e22) = e22
& op2(e22,e23) = e20
& op2(e22,e24) = e23
& op2(e23,e20) = e24
& op2(e23,e21) = e20
& op2(e23,e22) = e21
& op2(e23,e23) = e23
& op2(e23,e24) = e22
& op2(e24,e20) = e23
& op2(e24,e21) = e22
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e24 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax5) ).
fof(ax2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax2) ).
fof(ax4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e13
& op1(e10,e12) = e14
& op1(e10,e13) = e11
& op1(e10,e14) = e12
& op1(e11,e10) = e14
& op1(e11,e11) = e11
& op1(e11,e12) = e13
& op1(e11,e13) = e12
& op1(e11,e14) = e10
& op1(e12,e10) = e11
& op1(e12,e11) = e10
& op1(e12,e12) = e12
& op1(e12,e13) = e14
& op1(e12,e14) = e13
& op1(e13,e10) = e12
& op1(e13,e11) = e14
& op1(e13,e12) = e10
& op1(e13,e13) = e13
& op1(e13,e14) = e11
& op1(e14,e10) = e13
& op1(e14,e11) = e12
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = e14 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax4) ).
fof(ax1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax1) ).
fof(c_0_5,plain,
( epred1_0
<=> ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ) ),
introduced(definition) ).
fof(c_0_6,plain,
( epred1_0
=> ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ) ),
inference(split_equiv,[status(thm)],[c_0_5]) ).
fof(c_0_7,negated_conjecture,
~ ( epred1_0
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_5]) ).
fof(c_0_8,plain,
( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| ~ epred1_0 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| ~ epred1_0 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| ~ epred1_0 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| ~ epred1_0 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| ~ epred1_0 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| ~ epred1_0 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| ~ epred1_0 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| ~ epred1_0 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| ~ epred1_0 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).
fof(c_0_9,negated_conjecture,
( epred1_0
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_12,plain,
( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
op2(e21,e20) = e22,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_15,negated_conjecture,
h(j(e20)) = e20,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_17,negated_conjecture,
h(j(e21)) = e21,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_18,plain,
( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11])]) ).
cnf(c_0_19,negated_conjecture,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_20,plain,
op2(e22,e20) = e21,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_21,negated_conjecture,
op1(j(e21),j(e20)) = j(e22),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_22,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| h(e14) = e20 ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| h(e14) = e21 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_25,negated_conjecture,
op1(j(e22),j(e20)) = j(e21),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( op1(j(e21),e14) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_27,negated_conjecture,
( j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_28,plain,
op1(e13,e14) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_29,negated_conjecture,
( op1(j(e22),e14) = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_30,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_31,plain,
op1(e11,e14) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_32,negated_conjecture,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_33,plain,
op2(e20,e21) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_34,negated_conjecture,
( j(e21) = e12
| j(e21) = e11
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_35,plain,
op1(e12,e14) = e13,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_36,negated_conjecture,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,plain,
op2(e20,e23) = e22,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_38,negated_conjecture,
op1(j(e20),j(e21)) = j(e23),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_34]),c_0_35]) ).
cnf(c_0_40,negated_conjecture,
op1(j(e20),j(e23)) = j(e22),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,negated_conjecture,
( op1(e14,j(e21)) = j(e23)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(spm,[status(thm)],[c_0_38,c_0_16]) ).
cnf(c_0_42,negated_conjecture,
( j(e21) = e10
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e21) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_39]),c_0_28])]) ).
cnf(c_0_43,plain,
op1(e14,e11) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_44,negated_conjecture,
( op1(e14,j(e23)) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(spm,[status(thm)],[c_0_40,c_0_16]) ).
cnf(c_0_45,negated_conjecture,
( j(e21) = e10
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e23) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_46,plain,
op1(e14,e12) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_47,plain,
( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_48,negated_conjecture,
( j(e21) = e10
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]) ).
cnf(c_0_49,negated_conjecture,
j(h(e10)) = e10,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_50,plain,
( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_11])]) ).
cnf(c_0_51,negated_conjecture,
( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_48]),c_0_31])]) ).
cnf(c_0_52,plain,
op1(e14,e10) = e13,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_53,negated_conjecture,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| j(e24) = e10 ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,plain,
op1(e10,e14) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_55,negated_conjecture,
( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e23) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_51]),c_0_52]) ).
cnf(c_0_56,plain,
op1(e14,e13) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_57,negated_conjecture,
( j(e24) = e10
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| j(e23) = e10 ),
inference(spm,[status(thm)],[c_0_49,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_59,plain,
op2(e24,e20) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_60,negated_conjecture,
( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_51]),c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_55]),c_0_56]) ).
cnf(c_0_62,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_63,negated_conjecture,
( j(e23) = e10
| h(e10) = e20
| h(e10) = e21
| j(e24) = e10
| j(e22) = e10 ),
inference(spm,[status(thm)],[c_0_49,c_0_57]) ).
cnf(c_0_64,negated_conjecture,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_65,plain,
op2(e23,e20) = e24,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_66,negated_conjecture,
op1(j(e24),j(e20)) = j(e23),
inference(rw,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( j(e22) = e10
| j(e24) = e10
| h(e10) = e20
| j(e23) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[c_0_49,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
op1(j(e23),j(e20)) = j(e24),
inference(rw,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
( op1(j(e24),e13) = j(e23)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_71,negated_conjecture,
( j(e21) = e10
| j(e23) = e10
| j(e24) = e10
| j(e22) = e10
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_49,c_0_68]) ).
cnf(c_0_72,plain,
op1(e10,e13) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_73,negated_conjecture,
( op1(j(e23),e13) = j(e24)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_69,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
( j(e22) = e10
| j(e23) = e10
| j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e23) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_75,plain,
op1(e11,e13) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_76,negated_conjecture,
( j(e21) = e10
| j(e23) = e10
| j(e22) = e10
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e24) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]) ).
cnf(c_0_77,negated_conjecture,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e10
| j(e23) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_76]),c_0_62]) ).
cnf(c_0_78,negated_conjecture,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_79,plain,
op2(e20,e22) = e24,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_80,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e24) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_77]),c_0_72]) ).
cnf(c_0_81,negated_conjecture,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_82,plain,
op2(e20,e24) = e21,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_83,negated_conjecture,
op1(j(e20),j(e22)) = j(e24),
inference(rw,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_84,negated_conjecture,
( op1(e13,j(e23)) = j(e22)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_40,c_0_67]) ).
cnf(c_0_85,negated_conjecture,
( j(e22) = e10
| j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e23) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_80]),c_0_75]) ).
cnf(c_0_86,plain,
op1(e13,e12) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_87,negated_conjecture,
op1(j(e20),j(e24)) = j(e21),
inference(rw,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,negated_conjecture,
( op1(e13,j(e22)) = j(e24)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_83,c_0_67]) ).
cnf(c_0_89,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e22) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_90,plain,
op1(e13,e10) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_91,negated_conjecture,
( op1(e13,j(e24)) = j(e21)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_87,c_0_67]) ).
cnf(c_0_92,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e24) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]) ).
cnf(c_0_93,negated_conjecture,
( op1(e13,j(e21)) = j(e23)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_38,c_0_67]) ).
cnf(c_0_94,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_86])]) ).
cnf(c_0_95,negated_conjecture,
( op1(j(e21),e13) = j(e22)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_21,c_0_67]) ).
cnf(c_0_96,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e23) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_90]) ).
cnf(c_0_97,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e22) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_94]),c_0_72]) ).
cnf(c_0_98,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e22) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_96]),c_0_86]) ).
cnf(c_0_99,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_100,negated_conjecture,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_101,negated_conjecture,
( op1(e10,j(e20)) = j(e23)
| j(e20) = e10
| j(e22) = e10
| j(e23) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[c_0_66,c_0_71]) ).
cnf(c_0_102,plain,
op1(e10,e12) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_103,negated_conjecture,
( op1(j(e23),e12) = j(e24)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[c_0_69,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e21) = e10
| j(e23) = e10
| j(e22) = e10
| j(e23) = e14 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_100]),c_0_102]),c_0_62]) ).
cnf(c_0_105,negated_conjecture,
( j(e22) = e10
| j(e23) = e10
| j(e21) = e10
| j(e20) = e11
| j(e20) = e10
| j(e24) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_46]) ).
cnf(c_0_106,negated_conjecture,
( op1(e12,j(e23)) = j(e22)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[c_0_40,c_0_100]) ).
cnf(c_0_107,negated_conjecture,
( j(e20) = e11
| j(e20) = e10
| j(e22) = e10
| j(e23) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_105]),c_0_99]) ).
cnf(c_0_108,plain,
op1(e12,e10) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_109,negated_conjecture,
( op1(e12,j(e22)) = j(e24)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[c_0_83,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e11
| j(e20) = e10
| j(e22) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).
cnf(c_0_111,plain,
op1(e12,e11) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_112,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e11
| j(e20) = e10
| j(e24) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_107]),c_0_102]) ).
cnf(c_0_113,negated_conjecture,
( j(e22) = e10
| j(e21) = e10
| j(e20) = e11
| j(e20) = e10
| j(e24) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111]) ).
cnf(c_0_114,plain,
e10 != e14,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_115,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e22) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]) ).
cnf(c_0_116,negated_conjecture,
( op1(e12,j(e24)) = j(e21)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[c_0_87,c_0_100]) ).
cnf(c_0_117,negated_conjecture,
( j(e21) = e10
| j(e20) = e11
| j(e20) = e10
| j(e24) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_115]),c_0_108]) ).
cnf(c_0_118,negated_conjecture,
( op1(e12,j(e21)) = j(e23)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[c_0_38,c_0_100]) ).
cnf(c_0_119,negated_conjecture,
( j(e20) = e11
| j(e20) = e10
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_111])]) ).
cnf(c_0_120,negated_conjecture,
( op1(j(e21),e12) = j(e22)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[c_0_21,c_0_100]) ).
cnf(c_0_121,negated_conjecture,
( j(e20) = e11
| j(e20) = e10
| j(e23) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_108]) ).
cnf(c_0_122,negated_conjecture,
( j(e20) = e11
| j(e20) = e10
| j(e22) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_119]),c_0_102]) ).
cnf(c_0_123,negated_conjecture,
( j(e20) = e11
| j(e20) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_121]),c_0_111]) ).
cnf(c_0_124,negated_conjecture,
( j(e20) = e10
| j(e20) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_114]) ).
cnf(c_0_125,plain,
op1(e10,e11) = e13,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_126,negated_conjecture,
( op1(j(e23),e11) = j(e24)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_69,c_0_124]) ).
cnf(c_0_127,negated_conjecture,
( j(e20) = e10
| j(e21) = e10
| j(e23) = e10
| j(e22) = e10
| j(e23) = e13 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_124]),c_0_125]),c_0_99]) ).
cnf(c_0_128,plain,
op1(e13,e11) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_129,negated_conjecture,
( j(e22) = e10
| j(e23) = e10
| j(e21) = e10
| j(e20) = e10
| j(e24) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_130,negated_conjecture,
( op1(e11,j(e23)) = j(e22)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_40,c_0_124]) ).
cnf(c_0_131,negated_conjecture,
( j(e20) = e10
| j(e22) = e10
| j(e23) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_129]),c_0_114]) ).
cnf(c_0_132,plain,
op1(e11,e10) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_133,negated_conjecture,
( op1(e11,j(e22)) = j(e24)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_83,c_0_124]) ).
cnf(c_0_134,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e22) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).
cnf(c_0_135,plain,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_136,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e24) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_131]),c_0_125]) ).
cnf(c_0_137,negated_conjecture,
( j(e22) = e10
| j(e21) = e10
| j(e20) = e10
| j(e24) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_31]) ).
cnf(c_0_138,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_139,negated_conjecture,
j(h(e11)) = e11,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_140,plain,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_11])]) ).
cnf(c_0_141,negated_conjecture,
( j(e20) = e10
| j(e22) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_142,negated_conjecture,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| j(e24) = e11 ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_143,negated_conjecture,
( op1(e11,j(e24)) = j(e21)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_87,c_0_124]) ).
cnf(c_0_144,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e24) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_141]),c_0_132]) ).
cnf(c_0_145,negated_conjecture,
( j(e24) = e11
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20
| j(e23) = e11 ),
inference(spm,[status(thm)],[c_0_139,c_0_142]) ).
cnf(c_0_146,negated_conjecture,
( op1(j(e21),e11) = j(e22)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_21,c_0_124]) ).
cnf(c_0_147,negated_conjecture,
( j(e20) = e10
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_31])]) ).
cnf(c_0_148,negated_conjecture,
( j(e23) = e11
| h(e11) = e20
| h(e11) = e21
| j(e24) = e11
| j(e22) = e11 ),
inference(spm,[status(thm)],[c_0_139,c_0_145]) ).
cnf(c_0_149,negated_conjecture,
( op1(j(e22),e11) = j(e21)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_25,c_0_124]) ).
cnf(c_0_150,negated_conjecture,
( j(e20) = e10
| j(e22) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_147]),c_0_125]) ).
cnf(c_0_151,negated_conjecture,
( j(e22) = e11
| j(e24) = e11
| h(e11) = e20
| j(e23) = e11
| j(e21) = e11 ),
inference(spm,[status(thm)],[c_0_139,c_0_148]) ).
cnf(c_0_152,negated_conjecture,
( j(e20) = e10
| j(e21) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_128]) ).
cnf(c_0_153,negated_conjecture,
( j(e21) = e11
| j(e23) = e11
| j(e24) = e11
| j(e22) = e11
| j(e20) = e11 ),
inference(spm,[status(thm)],[c_0_139,c_0_151]) ).
cnf(c_0_154,negated_conjecture,
j(e20) = e10,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_152]),c_0_114]) ).
cnf(c_0_155,negated_conjecture,
( op1(e11,j(e20)) = j(e23)
| j(e20) = e11
| j(e22) = e11
| j(e23) = e11
| j(e21) = e11 ),
inference(spm,[status(thm)],[c_0_66,c_0_153]) ).
cnf(c_0_156,negated_conjecture,
op1(j(e23),e10) = j(e24),
inference(rw,[status(thm)],[c_0_69,c_0_154]) ).
cnf(c_0_157,negated_conjecture,
( j(e21) = e11
| j(e23) = e11
| j(e22) = e11
| j(e23) = e14 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_154]),c_0_132]),c_0_154]),c_0_99]) ).
cnf(c_0_158,negated_conjecture,
( j(e22) = e11
| j(e24) = e11
| j(e23) = e11
| j(e21) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154]),c_0_99]) ).
cnf(c_0_159,negated_conjecture,
( j(e22) = e11
| j(e23) = e11
| j(e21) = e11
| j(e24) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_52]) ).
cnf(c_0_160,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_161,negated_conjecture,
op1(e10,j(e23)) = j(e22),
inference(rw,[status(thm)],[c_0_40,c_0_154]) ).
cnf(c_0_162,negated_conjecture,
( j(e21) = e11
| j(e23) = e11
| j(e22) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_159]),c_0_160]) ).
cnf(c_0_163,negated_conjecture,
op1(e10,j(e22)) = j(e24),
inference(rw,[status(thm)],[c_0_83,c_0_154]) ).
cnf(c_0_164,negated_conjecture,
( j(e22) = e11
| j(e21) = e11
| j(e22) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_125]) ).
cnf(c_0_165,negated_conjecture,
( j(e22) = e11
| j(e21) = e11
| j(e24) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_162]),c_0_132]) ).
cnf(c_0_166,negated_conjecture,
( j(e21) = e11
| j(e22) = e11
| j(e24) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_72]) ).
cnf(c_0_167,plain,
e11 != e14,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_168,negated_conjecture,
( j(e21) = e11
| j(e22) = e11 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]) ).
cnf(c_0_169,plain,
( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_170,negated_conjecture,
op1(e10,j(e24)) = j(e21),
inference(rw,[status(thm)],[c_0_87,c_0_154]) ).
cnf(c_0_171,negated_conjecture,
( j(e21) = e11
| j(e24) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_168]),c_0_125]) ).
cnf(c_0_172,negated_conjecture,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_173,negated_conjecture,
h(j(e22)) = e22,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_174,plain,
( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_11])]) ).
cnf(c_0_175,negated_conjecture,
op1(j(e21),e10) = j(e22),
inference(rw,[status(thm)],[c_0_21,c_0_154]) ).
cnf(c_0_176,negated_conjecture,
j(e21) = e11,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_72])]) ).
cnf(c_0_177,negated_conjecture,
op1(e10,j(e21)) = j(e23),
inference(rw,[status(thm)],[c_0_38,c_0_154]) ).
cnf(c_0_178,negated_conjecture,
op2(h(e14),h(e10)) = h(e13),
inference(rw,[status(thm)],[c_0_172,c_0_52]) ).
cnf(c_0_179,negated_conjecture,
h(e10) = e20,
inference(rw,[status(thm)],[c_0_15,c_0_154]) ).
cnf(c_0_180,negated_conjecture,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| h(e14) = e22 ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_181,negated_conjecture,
j(e22) = e14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_176]),c_0_132]) ).
cnf(c_0_182,plain,
e12 != e14,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_183,plain,
e13 != e14,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_184,negated_conjecture,
h(j(e23)) = e23,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_185,negated_conjecture,
j(e23) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_176]),c_0_125]) ).
cnf(c_0_186,negated_conjecture,
op2(h(e14),e20) = h(e13),
inference(rw,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_187,negated_conjecture,
h(e14) = e22,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_181]),c_0_181]),c_0_181]),c_0_181]),c_0_114]),c_0_167]),c_0_182]),c_0_183]) ).
cnf(c_0_188,negated_conjecture,
h(e13) = e23,
inference(rw,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_189,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_190,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_187]),c_0_20]),c_0_188]),c_0_189]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG185+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 04:13:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.23/1.41 # Preprocessing time : 0.016 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 191
% 0.23/1.41 # Proof object clause steps : 181
% 0.23/1.41 # Proof object formula steps : 10
% 0.23/1.41 # Proof object conjectures : 138
% 0.23/1.41 # Proof object clause conjectures : 135
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 57
% 0.23/1.41 # Proof object initial formulas used : 5
% 0.23/1.41 # Proof object generating inferences : 95
% 0.23/1.41 # Proof object simplifying inferences : 117
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 6
% 0.23/1.41 # Removed by relevancy pruning/SinE : 0
% 0.23/1.41 # Initial clauses : 166
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 166
% 0.23/1.41 # Processed clauses : 1381
% 0.23/1.41 # ...of these trivial : 6
% 0.23/1.41 # ...subsumed : 337
% 0.23/1.41 # ...remaining for further processing : 1037
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 270
% 0.23/1.41 # Backward-rewritten : 661
% 0.23/1.41 # Generated clauses : 28186
% 0.23/1.41 # ...of the previous two non-trivial : 28143
% 0.23/1.41 # Contextual simplify-reflections : 88
% 0.23/1.41 # Paramodulations : 27802
% 0.23/1.41 # Factorizations : 384
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 106
% 0.23/1.41 # Positive orientable unit clauses : 61
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 45
% 0.23/1.41 # Non-unit-clauses : 0
% 0.23/1.41 # Current number of unprocessed clauses: 376
% 0.23/1.41 # ...number of literals in the above : 1789
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 931
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 2602
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 477
% 0.23/1.41 # Non-unit clause-clause subsumptions : 469
% 0.23/1.41 # Unit Clause-clause subsumption calls : 1803
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 18
% 0.23/1.41 # BW rewrite match successes : 18
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 518867
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.352 s
% 0.23/1.41 # System time : 0.012 s
% 0.23/1.41 # Total time : 0.364 s
% 0.23/1.41 # Maximum resident set size: 20700 pages
% 0.23/23.45 eprover: CPU time limit exceeded, terminating
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.49 eprover: No such file or directory
% 0.23/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------