TSTP Solution File: ALG185+1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ALG185+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n024.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 : 300s
% DateTime : Mon May 20 18:05:13 EDT 2024
% Result : Theorem 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 6
% Syntax : Number of formulae : 196 ( 77 unt; 0 def)
% Number of atoms : 1035 (1015 equ)
% Maximal formula atoms : 110 ( 5 avg)
% Number of connectives : 923 ( 84 ~; 519 |; 316 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 5 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/benchmark/theBenchmark.p',co1) ).
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/benchmark/theBenchmark.p',ax2) ).
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/benchmark/theBenchmark.p',ax5) ).
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/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',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)],[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) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| ~ 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) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
inference(fof_simplification,[status(thm)],[ax2]) ).
cnf(c_0_14,negated_conjecture,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
op2(e21,e20) = e22,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_16,negated_conjecture,
h(j(e20)) = e20,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,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_18,negated_conjecture,
h(j(e21)) = e21,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,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])]) ).
fof(c_0_20,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
inference(fof_nnf,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,plain,
op2(e22,e20) = e21,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_23,negated_conjecture,
op1(j(e21),j(e20)) = j(e22),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| h(e14) = e20 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_25,negated_conjecture,
( j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| h(e14) = e21 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_26,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
op1(j(e22),j(e20)) = j(e21),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( op1(j(e21),e14) = j(e22)
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_23,c_0_17]) ).
cnf(c_0_29,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,plain,
op1(e13,e14) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_31,negated_conjecture,
( op1(j(e22),e14) = j(e21)
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_27,c_0_17]) ).
cnf(c_0_32,negated_conjecture,
( j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e22) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_33,plain,
op1(e11,e14) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_34,negated_conjecture,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_35,plain,
op2(e20,e21) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_36,negated_conjecture,
( j(e21) = e11
| j(e21) = e12
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_37,plain,
op1(e12,e14) = e13,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_38,negated_conjecture,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_39,plain,
op2(e20,e23) = e22,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_40,negated_conjecture,
op1(j(e20),j(e21)) = j(e23),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( j(e21) = e10
| j(e21) = e11
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e22) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_36]),c_0_37]) ).
cnf(c_0_42,negated_conjecture,
op1(j(e20),j(e23)) = j(e22),
inference(rw,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( op1(e14,j(e21)) = j(e23)
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_40,c_0_17]) ).
cnf(c_0_44,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e11 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_41]),c_0_30])]) ).
cnf(c_0_45,plain,
op1(e14,e11) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_46,negated_conjecture,
( op1(e14,j(e23)) = j(e22)
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_42,c_0_17]) ).
cnf(c_0_47,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e23) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).
cnf(c_0_48,plain,
op1(e14,e12) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_49,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_50,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e22) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_51,negated_conjecture,
j(h(e10)) = e10,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_52,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_49,c_0_11])]) ).
cnf(c_0_53,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_50]),c_0_33])]) ).
cnf(c_0_54,plain,
op1(e14,e10) = e13,
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_55,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
inference(fof_simplification,[status(thm)],[ax1]) ).
cnf(c_0_56,negated_conjecture,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| j(e24) = e10 ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
op1(e10,e14) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_58,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e23) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_53]),c_0_54]) ).
cnf(c_0_59,plain,
op1(e14,e13) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
fof(c_0_60,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
inference(fof_nnf,[status(thm)],[c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( j(e24) = e10
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| j(e23) = e10 ),
inference(spm,[status(thm)],[c_0_51,c_0_56]) ).
cnf(c_0_62,negated_conjecture,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_63,plain,
op2(e24,e20) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_64,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e22) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_53]),c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e22) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_58]),c_0_59]) ).
cnf(c_0_66,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( j(e23) = e10
| h(e10) = e21
| h(e10) = e20
| j(e24) = e10
| j(e22) = e10 ),
inference(spm,[status(thm)],[c_0_51,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_69,plain,
op2(e23,e20) = e24,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_70,negated_conjecture,
op1(j(e24),j(e20)) = j(e23),
inference(rw,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_72,negated_conjecture,
( j(e22) = e10
| j(e24) = e10
| h(e10) = e20
| j(e23) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[c_0_51,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
op1(j(e23),j(e20)) = j(e24),
inference(rw,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( op1(j(e24),e13) = j(e23)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_75,negated_conjecture,
( j(e21) = e10
| j(e23) = e10
| j(e24) = e10
| j(e22) = e10
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_51,c_0_72]) ).
cnf(c_0_76,plain,
op1(e10,e13) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_77,negated_conjecture,
( op1(j(e23),e13) = j(e24)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_73,c_0_71]) ).
cnf(c_0_78,negated_conjecture,
( j(e22) = e10
| j(e23) = e10
| j(e21) = e10
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e23) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]) ).
cnf(c_0_79,plain,
op1(e11,e13) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_80,negated_conjecture,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_81,plain,
op2(e20,e22) = e24,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_82,negated_conjecture,
( j(e21) = e10
| j(e23) = e10
| j(e22) = e10
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e24) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_83,negated_conjecture,
op1(j(e20),j(e22)) = j(e24),
inference(rw,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_84,negated_conjecture,
( op1(e13,j(e23)) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_42,c_0_71]) ).
cnf(c_0_85,negated_conjecture,
( j(e20) = e11
| j(e20) = e12
| j(e20) = e10
| j(e22) = e10
| j(e23) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_82]),c_0_66]) ).
cnf(c_0_86,plain,
op1(e13,e10) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_87,negated_conjecture,
( op1(e13,j(e22)) = j(e24)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_83,c_0_71]) ).
cnf(c_0_88,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86]) ).
cnf(c_0_89,plain,
op1(e13,e12) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_90,negated_conjecture,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_91,plain,
op2(e20,e24) = e21,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_92,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e24) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_85]),c_0_76]) ).
cnf(c_0_93,negated_conjecture,
( j(e22) = e10
| j(e21) = e10
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e24) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]) ).
cnf(c_0_94,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_95,negated_conjecture,
op1(j(e20),j(e24)) = j(e21),
inference(rw,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e22) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_94]) ).
cnf(c_0_97,negated_conjecture,
( op1(e13,j(e24)) = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_95,c_0_71]) ).
cnf(c_0_98,negated_conjecture,
( j(e21) = e10
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e24) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_96]),c_0_86]) ).
cnf(c_0_99,negated_conjecture,
( op1(e13,j(e21)) = j(e23)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_40,c_0_71]) ).
cnf(c_0_100,negated_conjecture,
( 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_97,c_0_98]),c_0_89])]) ).
cnf(c_0_101,negated_conjecture,
( op1(j(e21),e13) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_23,c_0_71]) ).
cnf(c_0_102,negated_conjecture,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e23) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_86]) ).
cnf(c_0_103,negated_conjecture,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_100]),c_0_76]) ).
cnf(c_0_104,negated_conjecture,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_102]),c_0_89]) ).
cnf(c_0_105,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_94]) ).
cnf(c_0_106,negated_conjecture,
( op1(j(e24),e12) = j(e23)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_70,c_0_105]) ).
cnf(c_0_107,plain,
op1(e10,e12) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_108,negated_conjecture,
( op1(j(e23),e12) = j(e24)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_73,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( j(e22) = e10
| j(e23) = e10
| j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e23) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_75]),c_0_107]) ).
cnf(c_0_110,negated_conjecture,
( j(e21) = e10
| j(e23) = e10
| j(e22) = e10
| j(e20) = e10
| j(e20) = e11
| j(e24) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_48]) ).
cnf(c_0_111,negated_conjecture,
( op1(e12,j(e23)) = j(e22)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_42,c_0_105]) ).
cnf(c_0_112,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_75,c_0_110]),c_0_94]) ).
cnf(c_0_113,plain,
op1(e12,e10) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_114,negated_conjecture,
( op1(e12,j(e22)) = j(e24)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_83,c_0_105]) ).
cnf(c_0_115,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e20) = e11
| j(e22) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_113]) ).
cnf(c_0_116,plain,
op1(e12,e11) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_117,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e20) = e11
| j(e24) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_112]),c_0_107]) ).
cnf(c_0_118,negated_conjecture,
( j(e22) = e10
| j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e24) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_119,plain,
e10 != e14,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_120,negated_conjecture,
( j(e20) = e11
| j(e20) = e10
| j(e22) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_119]) ).
cnf(c_0_121,negated_conjecture,
( op1(e12,j(e24)) = j(e21)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_95,c_0_105]) ).
cnf(c_0_122,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e24) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_120]),c_0_113]) ).
cnf(c_0_123,negated_conjecture,
( op1(e12,j(e21)) = j(e23)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_40,c_0_105]) ).
cnf(c_0_124,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_116])]) ).
cnf(c_0_125,negated_conjecture,
( op1(j(e21),e12) = j(e22)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_23,c_0_105]) ).
cnf(c_0_126,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e23) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_113]) ).
cnf(c_0_127,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e22) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_124]),c_0_107]) ).
cnf(c_0_128,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e22) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_126]),c_0_116]) ).
cnf(c_0_129,negated_conjecture,
( j(e20) = e11
| j(e20) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_119]) ).
cnf(c_0_130,negated_conjecture,
( op1(j(e24),e11) = j(e23)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_70,c_0_129]) ).
cnf(c_0_131,plain,
op1(e10,e11) = e13,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_132,negated_conjecture,
( op1(j(e23),e11) = j(e24)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_73,c_0_129]) ).
cnf(c_0_133,negated_conjecture,
( j(e22) = e10
| j(e23) = e10
| j(e21) = e10
| j(e20) = e10
| j(e23) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_75]),c_0_131]) ).
cnf(c_0_134,plain,
op1(e13,e11) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_135,negated_conjecture,
( j(e21) = e10
| j(e23) = e10
| j(e22) = e10
| j(e20) = e10
| j(e24) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]) ).
cnf(c_0_136,negated_conjecture,
( op1(e11,j(e23)) = j(e22)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_42,c_0_129]) ).
cnf(c_0_137,negated_conjecture,
( j(e20) = e10
| j(e22) = e10
| j(e23) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_135]),c_0_119]) ).
cnf(c_0_138,plain,
op1(e11,e10) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_139,negated_conjecture,
( op1(e11,j(e22)) = j(e24)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_83,c_0_129]) ).
cnf(c_0_140,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e22) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138]) ).
cnf(c_0_141,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e24) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_137]),c_0_131]) ).
cnf(c_0_142,negated_conjecture,
( j(e22) = e10
| j(e21) = e10
| j(e20) = e10
| j(e24) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_33]) ).
cnf(c_0_143,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_144,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_145,negated_conjecture,
( j(e20) = e10
| j(e22) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_143]) ).
cnf(c_0_146,negated_conjecture,
j(h(e14)) = e14,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_147,plain,
( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_11])]) ).
cnf(c_0_148,negated_conjecture,
( op1(e11,j(e24)) = j(e21)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_95,c_0_129]) ).
cnf(c_0_149,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e24) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_145]),c_0_138]) ).
cnf(c_0_150,negated_conjecture,
( h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20
| j(e24) = e14 ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_151,negated_conjecture,
( op1(e11,j(e21)) = j(e23)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_40,c_0_129]) ).
cnf(c_0_152,negated_conjecture,
( j(e20) = e10
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_33])]) ).
cnf(c_0_153,negated_conjecture,
( j(e24) = e14
| h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| j(e23) = e14 ),
inference(spm,[status(thm)],[c_0_146,c_0_150]) ).
cnf(c_0_154,negated_conjecture,
( op1(j(e21),e11) = j(e22)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_23,c_0_129]) ).
cnf(c_0_155,negated_conjecture,
( j(e20) = e10
| j(e23) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_138]) ).
cnf(c_0_156,negated_conjecture,
( j(e23) = e14
| h(e14) = e21
| h(e14) = e20
| j(e24) = e14
| j(e22) = e14 ),
inference(spm,[status(thm)],[c_0_146,c_0_153]) ).
cnf(c_0_157,negated_conjecture,
( j(e20) = e10
| j(e22) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_152]),c_0_131]) ).
cnf(c_0_158,negated_conjecture,
( j(e20) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_155]),c_0_33]) ).
cnf(c_0_159,negated_conjecture,
( j(e22) = e14
| j(e24) = e14
| h(e14) = e20
| j(e23) = e14
| j(e21) = e14 ),
inference(spm,[status(thm)],[c_0_146,c_0_156]) ).
cnf(c_0_160,negated_conjecture,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_161,negated_conjecture,
j(e20) = e10,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_143]) ).
cnf(c_0_162,negated_conjecture,
h(j(e24)) = e24,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_163,negated_conjecture,
( j(e21) = e14
| j(e23) = e14
| j(e24) = e14
| j(e22) = e14
| j(e20) = e14 ),
inference(spm,[status(thm)],[c_0_146,c_0_159]) ).
cnf(c_0_164,negated_conjecture,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_165,negated_conjecture,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_166,negated_conjecture,
op2(h(e14),h(e10)) = h(e13),
inference(rw,[status(thm)],[c_0_160,c_0_54]) ).
cnf(c_0_167,negated_conjecture,
h(e10) = e20,
inference(rw,[status(thm)],[c_0_16,c_0_161]) ).
cnf(c_0_168,negated_conjecture,
( j(e20) = e14
| j(e22) = e14
| j(e23) = e14
| j(e21) = e14
| h(e14) = e24 ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_169,negated_conjecture,
op2(h(e10),h(e14)) = h(e12),
inference(rw,[status(thm)],[c_0_164,c_0_57]) ).
cnf(c_0_170,negated_conjecture,
op2(h(e13),h(e10)) = h(e12),
inference(rw,[status(thm)],[c_0_165,c_0_86]) ).
cnf(c_0_171,negated_conjecture,
op2(h(e14),e20) = h(e13),
inference(rw,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_172,negated_conjecture,
( h(e14) = e24
| j(e21) = e14
| j(e23) = e14
| j(e22) = e14 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_161]),c_0_119]) ).
cnf(c_0_173,negated_conjecture,
op2(e20,h(e14)) = h(e12),
inference(rw,[status(thm)],[c_0_169,c_0_167]) ).
cnf(c_0_174,negated_conjecture,
op2(h(e13),e20) = h(e12),
inference(rw,[status(thm)],[c_0_170,c_0_167]) ).
cnf(c_0_175,negated_conjecture,
( j(e22) = e14
| j(e23) = e14
| j(e21) = e14
| h(e13) = e23 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_63]) ).
cnf(c_0_176,negated_conjecture,
( j(e22) = e14
| j(e23) = e14
| j(e21) = e14
| h(e12) = e21 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_172]),c_0_91]) ).
cnf(c_0_177,negated_conjecture,
( j(e21) = e14
| j(e23) = e14
| j(e22) = e14
| h(e12) = e24 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_69]) ).
cnf(c_0_178,plain,
e21 != e24,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_179,negated_conjecture,
op1(j(e23),e10) = j(e24),
inference(rw,[status(thm)],[c_0_73,c_0_161]) ).
cnf(c_0_180,negated_conjecture,
( j(e21) = e14
| j(e23) = e14
| j(e22) = e14 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]) ).
cnf(c_0_181,negated_conjecture,
op1(j(e24),e10) = j(e23),
inference(rw,[status(thm)],[c_0_70,c_0_161]) ).
cnf(c_0_182,negated_conjecture,
( j(e22) = e14
| j(e21) = e14
| j(e24) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_54]) ).
cnf(c_0_183,negated_conjecture,
op1(e10,j(e23)) = j(e22),
inference(rw,[status(thm)],[c_0_42,c_0_161]) ).
cnf(c_0_184,negated_conjecture,
( j(e21) = e14
| j(e22) = e14
| j(e23) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_86]) ).
cnf(c_0_185,negated_conjecture,
op1(e10,j(e22)) = j(e24),
inference(rw,[status(thm)],[c_0_83,c_0_161]) ).
cnf(c_0_186,negated_conjecture,
( j(e21) = e14
| j(e22) = e14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_107])]) ).
cnf(c_0_187,negated_conjecture,
op1(e10,j(e24)) = j(e21),
inference(rw,[status(thm)],[c_0_95,c_0_161]) ).
cnf(c_0_188,negated_conjecture,
( j(e21) = e14
| j(e24) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_57]) ).
cnf(c_0_189,negated_conjecture,
op1(e10,j(e21)) = j(e23),
inference(rw,[status(thm)],[c_0_40,c_0_161]) ).
cnf(c_0_190,negated_conjecture,
j(e21) = e14,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_107])]) ).
cnf(c_0_191,negated_conjecture,
op1(j(e21),e10) = j(e22),
inference(rw,[status(thm)],[c_0_23,c_0_161]) ).
cnf(c_0_192,negated_conjecture,
j(e23) = e12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_189,c_0_190]),c_0_57]) ).
cnf(c_0_193,negated_conjecture,
j(e22) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_191,c_0_190]),c_0_54]) ).
cnf(c_0_194,plain,
e13 != e14,
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_195,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_192]),c_0_107]),c_0_193]),c_0_194]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : ALG185+1 : TPTP v8.2.0. Released v2.7.0.
% 0.04/0.07 % Command : run_E %s %d THM
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Sat May 18 23:43:37 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.10/0.34 Running first-order theorem proving
% 0.10/0.34 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
% 0.10/0.45 # Version: 3.1.0
% 0.10/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 # Starting sh5l with 300s (1) cores
% 0.10/0.45 # new_bool_1 with pid 23469 completed with status 0
% 0.10/0.45 # Result found by new_bool_1
% 0.10/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.45 # Search class: FGUSF-FFMM21-SFFFFFNN
% 0.10/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.10/0.45 # SAT001_MinMin_p005000_rr_RG with pid 23478 completed with status 0
% 0.10/0.45 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.10/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.10/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.10/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.45 # Search class: FGUSF-FFMM21-SFFFFFNN
% 0.10/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.10/0.45 # Preprocessing time : 0.001 s
% 0.10/0.45 # Presaturation interreduction done
% 0.10/0.45
% 0.10/0.45 # Proof found!
% 0.10/0.45 # SZS status Theorem
% 0.10/0.45 # SZS output start CNFRefutation
% See solution above
% 0.10/0.45 # Parsed axioms : 6
% 0.10/0.45 # Removed by relevancy pruning/SinE : 0
% 0.10/0.45 # Initial clauses : 166
% 0.10/0.45 # Removed in clause preprocessing : 0
% 0.10/0.45 # Initial clauses in saturation : 166
% 0.10/0.45 # Processed clauses : 1081
% 0.10/0.45 # ...of these trivial : 1
% 0.10/0.45 # ...subsumed : 266
% 0.10/0.45 # ...remaining for further processing : 813
% 0.10/0.45 # Other redundant clauses eliminated : 0
% 0.10/0.45 # Clauses deleted for lack of memory : 0
% 0.10/0.45 # Backward-subsumed : 199
% 0.10/0.45 # Backward-rewritten : 310
% 0.10/0.45 # Generated clauses : 7847
% 0.10/0.45 # ...of the previous two non-redundant : 7804
% 0.10/0.45 # ...aggressively subsumed : 0
% 0.10/0.45 # Contextual simplify-reflections : 0
% 0.10/0.45 # Paramodulations : 7691
% 0.10/0.45 # Factorizations : 156
% 0.10/0.45 # NegExts : 0
% 0.10/0.45 # Equation resolutions : 0
% 0.10/0.45 # Disequality decompositions : 0
% 0.10/0.45 # Total rewrite steps : 4923
% 0.10/0.45 # ...of those cached : 4858
% 0.10/0.45 # Propositional unsat checks : 0
% 0.10/0.45 # Propositional check models : 0
% 0.10/0.45 # Propositional check unsatisfiable : 0
% 0.10/0.45 # Propositional clauses : 0
% 0.10/0.45 # Propositional clauses after purity: 0
% 0.10/0.45 # Propositional unsat core size : 0
% 0.10/0.45 # Propositional preprocessing time : 0.000
% 0.10/0.45 # Propositional encoding time : 0.000
% 0.10/0.45 # Propositional solver time : 0.000
% 0.10/0.45 # Success case prop preproc time : 0.000
% 0.10/0.45 # Success case prop encoding time : 0.000
% 0.10/0.45 # Success case prop solver time : 0.000
% 0.10/0.45 # Current number of processed clauses : 138
% 0.10/0.45 # Positive orientable unit clauses : 73
% 0.10/0.45 # Positive unorientable unit clauses: 0
% 0.10/0.45 # Negative unit clauses : 45
% 0.10/0.45 # Non-unit-clauses : 20
% 0.10/0.45 # Current number of unprocessed clauses: 6654
% 0.10/0.45 # ...number of literals in the above : 52832
% 0.10/0.45 # Current number of archived formulas : 0
% 0.10/0.45 # Current number of archived clauses : 675
% 0.10/0.45 # Clause-clause subsumption calls (NU) : 651
% 0.10/0.45 # Rec. Clause-clause subsumption calls : 330
% 0.10/0.45 # Non-unit clause-clause subsumptions : 322
% 0.10/0.45 # Unit Clause-clause subsumption calls : 2351
% 0.10/0.45 # Rewrite failures with RHS unbound : 0
% 0.10/0.45 # BW rewrite match attempts : 6
% 0.10/0.45 # BW rewrite match successes : 6
% 0.10/0.45 # Condensation attempts : 0
% 0.10/0.45 # Condensation successes : 0
% 0.10/0.45 # Termbank termtop insertions : 119755
% 0.10/0.45 # Search garbage collected termcells : 765
% 0.10/0.45
% 0.10/0.45 # -------------------------------------------------
% 0.10/0.45 # User time : 0.094 s
% 0.10/0.45 # System time : 0.009 s
% 0.10/0.45 # Total time : 0.103 s
% 0.10/0.45 # Maximum resident set size: 2068 pages
% 0.10/0.45
% 0.10/0.45 # -------------------------------------------------
% 0.10/0.45 # User time : 0.094 s
% 0.10/0.45 # System time : 0.012 s
% 0.10/0.45 # Total time : 0.106 s
% 0.10/0.45 # Maximum resident set size: 1744 pages
% 0.10/0.45 % E---3.1 exiting
% 0.10/0.45 % E exiting
%------------------------------------------------------------------------------