TSTP Solution File: ALG185+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 : Wed Aug 30 16:05:53 EDT 2023
% Result : Theorem 0.20s 0.71s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 21
% Syntax : Number of formulae : 207 ( 77 unt; 15 typ; 0 def)
% Number of atoms : 995 ( 975 equ)
% Maximal formula atoms : 110 ( 5 avg)
% Number of connectives : 847 ( 44 ~; 519 |; 280 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% 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 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
e10: $i ).
tff(decl_23,type,
e11: $i ).
tff(decl_24,type,
e12: $i ).
tff(decl_25,type,
e13: $i ).
tff(decl_26,type,
e14: $i ).
tff(decl_27,type,
e20: $i ).
tff(decl_28,type,
e21: $i ).
tff(decl_29,type,
e22: $i ).
tff(decl_30,type,
e23: $i ).
tff(decl_31,type,
e24: $i ).
tff(decl_32,type,
op1: ( $i * $i ) > $i ).
tff(decl_33,type,
op2: ( $i * $i ) > $i ).
tff(decl_34,type,
h: $i > $i ).
tff(decl_35,type,
j: $i > $i ).
tff(decl_36,type,
epred1_0: $o ).
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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/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/sandbox/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)],[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]) ).
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) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| h(e14) = e20 ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| 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) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_27,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_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) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_30,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_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) = 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_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) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| 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) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_38,c_0_16]) ).
cnf(c_0_42,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_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) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_40,c_0_16]) ).
cnf(c_0_45,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_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) = 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_48,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_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) = 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_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) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| 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) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| 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) = e20
| h(e10) = e21
| h(e10) = e22
| 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) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| 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) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| 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) = e21
| h(e10) = e20
| 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) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
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) = e10
| j(e20) = e11
| j(e20) = e12 ),
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) = e10
| j(e20) = e11
| j(e20) = e12 ),
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) = e12
| j(e20) = e11
| j(e20) = e10
| 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(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_77,plain,
op2(e20,e22) = e24,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_78,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_73,c_0_74]),c_0_75]) ).
cnf(c_0_79,negated_conjecture,
op1(j(e20),j(e22)) = j(e24),
inference(rw,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_80,negated_conjecture,
( op1(e13,j(e23)) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_40,c_0_67]) ).
cnf(c_0_81,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_71,c_0_78]),c_0_62]) ).
cnf(c_0_82,plain,
op1(e13,e10) = e12,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_83,negated_conjecture,
( op1(e13,j(e22)) = j(e24)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_79,c_0_67]) ).
cnf(c_0_84,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_80,c_0_81]),c_0_82]) ).
cnf(c_0_85,plain,
op1(e13,e12) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_86,negated_conjecture,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_87,plain,
op2(e20,e24) = e21,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_88,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_73,c_0_81]),c_0_72]) ).
cnf(c_0_89,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_83,c_0_84]),c_0_85]) ).
cnf(c_0_90,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_91,negated_conjecture,
op1(j(e20),j(e24)) = j(e21),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,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_88,c_0_89]),c_0_90]) ).
cnf(c_0_93,negated_conjecture,
( op1(e13,j(e24)) = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_91,c_0_67]) ).
cnf(c_0_94,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_83,c_0_92]),c_0_82]) ).
cnf(c_0_95,negated_conjecture,
( op1(e13,j(e21)) = j(e23)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_38,c_0_67]) ).
cnf(c_0_96,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_93,c_0_94]),c_0_85])]) ).
cnf(c_0_97,negated_conjecture,
( op1(j(e21),e13) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[c_0_21,c_0_67]) ).
cnf(c_0_98,negated_conjecture,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e23) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_82]) ).
cnf(c_0_99,negated_conjecture,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_96]),c_0_72]) ).
cnf(c_0_100,negated_conjecture,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_98]),c_0_85]) ).
cnf(c_0_101,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_90]) ).
cnf(c_0_102,negated_conjecture,
( op1(j(e24),e12) = j(e23)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_66,c_0_101]) ).
cnf(c_0_103,plain,
op1(e10,e12) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_104,negated_conjecture,
( op1(j(e23),e12) = j(e24)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_69,c_0_101]) ).
cnf(c_0_105,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_102,c_0_71]),c_0_103]) ).
cnf(c_0_106,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_104,c_0_105]),c_0_46]) ).
cnf(c_0_107,negated_conjecture,
( op1(e12,j(e23)) = j(e22)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_40,c_0_101]) ).
cnf(c_0_108,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_106]),c_0_90]) ).
cnf(c_0_109,plain,
op1(e12,e10) = e11,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_110,negated_conjecture,
( op1(e12,j(e22)) = j(e24)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_79,c_0_101]) ).
cnf(c_0_111,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_107,c_0_108]),c_0_109]) ).
cnf(c_0_112,plain,
op1(e12,e11) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_113,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_104,c_0_108]),c_0_103]) ).
cnf(c_0_114,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_110,c_0_111]),c_0_112]) ).
cnf(c_0_115,plain,
e10 != e14,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_116,negated_conjecture,
( j(e20) = e11
| j(e20) = e10
| j(e22) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_117,negated_conjecture,
( op1(e12,j(e24)) = j(e21)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_91,c_0_101]) ).
cnf(c_0_118,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e24) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_116]),c_0_109]) ).
cnf(c_0_119,negated_conjecture,
( op1(e12,j(e21)) = j(e23)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_38,c_0_101]) ).
cnf(c_0_120,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_117,c_0_118]),c_0_112])]) ).
cnf(c_0_121,negated_conjecture,
( op1(j(e21),e12) = j(e22)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_21,c_0_101]) ).
cnf(c_0_122,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e23) = e11 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_109]) ).
cnf(c_0_123,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e22) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_120]),c_0_103]) ).
cnf(c_0_124,negated_conjecture,
( j(e20) = e10
| j(e20) = e11
| j(e22) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_122]),c_0_112]) ).
cnf(c_0_125,negated_conjecture,
( j(e20) = e11
| j(e20) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_124]),c_0_115]) ).
cnf(c_0_126,negated_conjecture,
( op1(j(e24),e11) = j(e23)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_66,c_0_125]) ).
cnf(c_0_127,plain,
op1(e10,e11) = e13,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_128,negated_conjecture,
( op1(j(e23),e11) = j(e24)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_69,c_0_125]) ).
cnf(c_0_129,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_126,c_0_71]),c_0_127]) ).
cnf(c_0_130,plain,
op1(e13,e11) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_131,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_128,c_0_129]),c_0_130]) ).
cnf(c_0_132,negated_conjecture,
( op1(e11,j(e23)) = j(e22)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_40,c_0_125]) ).
cnf(c_0_133,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_131]),c_0_115]) ).
cnf(c_0_134,plain,
op1(e11,e10) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_135,negated_conjecture,
( op1(e11,j(e22)) = j(e24)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_79,c_0_125]) ).
cnf(c_0_136,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e22) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_134]) ).
cnf(c_0_137,negated_conjecture,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e24) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_133]),c_0_127]) ).
cnf(c_0_138,negated_conjecture,
( j(e22) = e10
| j(e21) = e10
| j(e20) = e10
| j(e24) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_31]) ).
cnf(c_0_139,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_140,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_141,negated_conjecture,
( j(e20) = e10
| j(e22) = e10
| j(e21) = e10 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_139]) ).
cnf(c_0_142,negated_conjecture,
j(h(e14)) = e14,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_143,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_140,c_0_11])]) ).
cnf(c_0_144,negated_conjecture,
( op1(e11,j(e24)) = j(e21)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_91,c_0_125]) ).
cnf(c_0_145,negated_conjecture,
( j(e21) = e10
| j(e20) = e10
| j(e24) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_141]),c_0_134]) ).
cnf(c_0_146,negated_conjecture,
( h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20
| j(e24) = e14 ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_147,negated_conjecture,
( op1(e11,j(e21)) = j(e23)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_38,c_0_125]) ).
cnf(c_0_148,negated_conjecture,
( j(e20) = e10
| j(e21) = e10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_31])]) ).
cnf(c_0_149,negated_conjecture,
( j(e24) = e14
| h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| j(e23) = e14 ),
inference(spm,[status(thm)],[c_0_142,c_0_146]) ).
cnf(c_0_150,negated_conjecture,
( op1(j(e21),e11) = j(e22)
| j(e20) = e10 ),
inference(spm,[status(thm)],[c_0_21,c_0_125]) ).
cnf(c_0_151,negated_conjecture,
( j(e20) = e10
| j(e23) = e14 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_134]) ).
cnf(c_0_152,negated_conjecture,
( j(e23) = e14
| h(e14) = e21
| h(e14) = e20
| j(e24) = e14
| j(e22) = e14 ),
inference(spm,[status(thm)],[c_0_142,c_0_149]) ).
cnf(c_0_153,negated_conjecture,
( j(e20) = e10
| j(e22) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_148]),c_0_127]) ).
cnf(c_0_154,negated_conjecture,
( j(e20) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_151]),c_0_31]) ).
cnf(c_0_155,negated_conjecture,
( j(e22) = e14
| j(e24) = e14
| h(e14) = e20
| j(e23) = e14
| j(e21) = e14 ),
inference(spm,[status(thm)],[c_0_142,c_0_152]) ).
cnf(c_0_156,negated_conjecture,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_157,negated_conjecture,
j(e20) = e10,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_139]) ).
cnf(c_0_158,negated_conjecture,
h(j(e24)) = e24,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_159,negated_conjecture,
( j(e21) = e14
| j(e23) = e14
| j(e24) = e14
| j(e22) = e14
| j(e20) = e14 ),
inference(spm,[status(thm)],[c_0_142,c_0_155]) ).
cnf(c_0_160,negated_conjecture,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_161,negated_conjecture,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_162,negated_conjecture,
op2(h(e14),h(e10)) = h(e13),
inference(rw,[status(thm)],[c_0_156,c_0_52]) ).
cnf(c_0_163,negated_conjecture,
h(e10) = e20,
inference(rw,[status(thm)],[c_0_15,c_0_157]) ).
cnf(c_0_164,negated_conjecture,
( j(e20) = e14
| j(e22) = e14
| j(e23) = e14
| j(e21) = e14
| h(e14) = e24 ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_165,negated_conjecture,
op2(h(e10),h(e14)) = h(e12),
inference(rw,[status(thm)],[c_0_160,c_0_54]) ).
cnf(c_0_166,negated_conjecture,
op2(h(e13),h(e10)) = h(e12),
inference(rw,[status(thm)],[c_0_161,c_0_82]) ).
cnf(c_0_167,negated_conjecture,
op2(h(e14),e20) = h(e13),
inference(rw,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_168,negated_conjecture,
( h(e14) = e24
| j(e21) = e14
| j(e23) = e14
| j(e22) = e14 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_157]),c_0_115]) ).
cnf(c_0_169,negated_conjecture,
op2(e20,h(e14)) = h(e12),
inference(rw,[status(thm)],[c_0_165,c_0_163]) ).
cnf(c_0_170,negated_conjecture,
op2(h(e13),e20) = h(e12),
inference(rw,[status(thm)],[c_0_166,c_0_163]) ).
cnf(c_0_171,negated_conjecture,
( j(e22) = e14
| j(e23) = e14
| j(e21) = e14
| h(e13) = e23 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_168]),c_0_59]) ).
cnf(c_0_172,negated_conjecture,
( j(e22) = e14
| j(e23) = e14
| j(e21) = e14
| h(e12) = e21 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_168]),c_0_87]) ).
cnf(c_0_173,negated_conjecture,
( j(e21) = e14
| j(e23) = e14
| j(e22) = e14
| h(e12) = e24 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_65]) ).
cnf(c_0_174,plain,
e21 != e24,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_175,negated_conjecture,
op1(j(e23),e10) = j(e24),
inference(rw,[status(thm)],[c_0_69,c_0_157]) ).
cnf(c_0_176,negated_conjecture,
( j(e21) = e14
| j(e23) = e14
| j(e22) = e14 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).
cnf(c_0_177,negated_conjecture,
op1(j(e24),e10) = j(e23),
inference(rw,[status(thm)],[c_0_66,c_0_157]) ).
cnf(c_0_178,negated_conjecture,
( j(e22) = e14
| j(e21) = e14
| j(e24) = e13 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_176]),c_0_52]) ).
cnf(c_0_179,negated_conjecture,
op1(e10,j(e23)) = j(e22),
inference(rw,[status(thm)],[c_0_40,c_0_157]) ).
cnf(c_0_180,negated_conjecture,
( j(e21) = e14
| j(e22) = e14
| j(e23) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_82]) ).
cnf(c_0_181,negated_conjecture,
op1(e10,j(e22)) = j(e24),
inference(rw,[status(thm)],[c_0_79,c_0_157]) ).
cnf(c_0_182,negated_conjecture,
( j(e21) = e14
| j(e22) = e14 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_103])]) ).
cnf(c_0_183,negated_conjecture,
op1(e10,j(e24)) = j(e21),
inference(rw,[status(thm)],[c_0_91,c_0_157]) ).
cnf(c_0_184,negated_conjecture,
( j(e21) = e14
| j(e24) = e12 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_54]) ).
cnf(c_0_185,negated_conjecture,
op1(e10,j(e21)) = j(e23),
inference(rw,[status(thm)],[c_0_38,c_0_157]) ).
cnf(c_0_186,negated_conjecture,
j(e21) = e14,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_103])]) ).
cnf(c_0_187,negated_conjecture,
op1(j(e21),e10) = j(e22),
inference(rw,[status(thm)],[c_0_21,c_0_157]) ).
cnf(c_0_188,negated_conjecture,
j(e23) = e12,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_186]),c_0_54]) ).
cnf(c_0_189,negated_conjecture,
j(e22) = e13,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_186]),c_0_52]) ).
cnf(c_0_190,plain,
e13 != e14,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_191,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_179,c_0_188]),c_0_103]),c_0_189]),c_0_190]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG185+1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:41:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.20/0.71 % Version : CSE_E---1.5
% 0.20/0.71 % Problem : theBenchmark.p
% 0.20/0.71 % Proof found
% 0.20/0.71 % SZS status Theorem for theBenchmark.p
% 0.20/0.71 % SZS output start Proof
% See solution above
% 0.20/0.72 % Total time : 0.130000 s
% 0.20/0.72 % SZS output end Proof
% 0.20/0.72 % Total time : 0.134000 s
%------------------------------------------------------------------------------