TSTP Solution File: ALG078+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ALG078+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n020.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 16:47:35 EDT 2022
% Result : Theorem 0.26s 1.43s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 6
% Syntax : Number of formulae : 62 ( 38 unt; 0 def)
% Number of atoms : 556 ( 538 equ)
% Maximal formula atoms : 110 ( 8 avg)
% Number of connectives : 538 ( 44 ~; 210 |; 280 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 7 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(ax4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e14
& op1(e11,e12) = e13
& op1(e11,e13) = e10
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e14
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e10
& op1(e13,e13) = e14
& op1(e13,e14) = e11
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e12
& op1(e14,e14) = e10 ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',ax4) ).
fof(ax5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e22
& op2(e21,e22) = e24
& op2(e21,e23) = e20
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e24
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e24
& op2(e23,e22) = e20
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e22
& op2(e24,e24) = e20 ),
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(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,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_7,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_8,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_6]) ).
fof(c_0_9,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_7])]) ).
cnf(c_0_10,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
op1(e10,e10) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_12,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_9]) ).
cnf(c_0_13,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,negated_conjecture,
op2(h(e10),h(e10)) = h(e10),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,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_12,c_0_13])]) ).
cnf(c_0_16,plain,
op2(e24,e24) = e20,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_17,plain,
e20 != e24,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_18,negated_conjecture,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]) ).
cnf(c_0_19,plain,
op2(e23,e23) = e21,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_20,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_21,negated_conjecture,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_22,plain,
op2(e22,e22) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_23,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_24,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_25,plain,
op1(e11,e11) = e14,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_26,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_9]) ).
cnf(c_0_27,negated_conjecture,
( h(e10) = e20
| h(e10) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_28,plain,
op2(e21,e21) = e22,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_29,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_30,negated_conjecture,
op2(h(e11),h(e11)) = h(e14),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,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_26,c_0_13])]) ).
cnf(c_0_32,negated_conjecture,
j(h(e10)) = e10,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_33,negated_conjecture,
h(e10) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_35,plain,
op1(e14,e14) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_36,negated_conjecture,
j(h(e14)) = e14,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,negated_conjecture,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e14) = e20 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_16]) ).
cnf(c_0_38,negated_conjecture,
j(e20) = e10,
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_39,plain,
e10 != e14,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_40,negated_conjecture,
op2(h(e14),h(e14)) = h(e10),
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39]) ).
cnf(c_0_42,negated_conjecture,
op2(h(e14),h(e14)) = e20,
inference(rw,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_43,negated_conjecture,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e14) = e21 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_41]),c_0_19]) ).
cnf(c_0_44,plain,
e20 != e22,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_45,negated_conjecture,
( h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_28]),c_0_44]) ).
cnf(c_0_46,negated_conjecture,
( h(e11) = e20
| h(e11) = e21
| h(e14) = e23 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_45]),c_0_22]) ).
cnf(c_0_47,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_48,negated_conjecture,
j(h(e11)) = e11,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_49,negated_conjecture,
( h(e11) = e21
| h(e11) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_46]),c_0_19]),c_0_47]) ).
cnf(c_0_50,negated_conjecture,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_51,negated_conjecture,
( h(e11) = e20
| j(e21) = e11 ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_52,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[ax1]) ).
cnf(c_0_53,negated_conjecture,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_54,negated_conjecture,
op1(j(e21),j(e21)) = j(e22),
inference(rw,[status(thm)],[c_0_50,c_0_28]) ).
cnf(c_0_55,negated_conjecture,
j(e21) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_51]),c_0_38]),c_0_52]) ).
cnf(c_0_56,negated_conjecture,
op1(j(e22),j(e22)) = j(e23),
inference(rw,[status(thm)],[c_0_53,c_0_22]) ).
cnf(c_0_57,negated_conjecture,
j(e22) = e14,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55]),c_0_55]),c_0_25]) ).
cnf(c_0_58,negated_conjecture,
h(j(e23)) = e23,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_59,negated_conjecture,
j(e23) = e10,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57]),c_0_57]),c_0_35]) ).
cnf(c_0_60,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[ax2]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59]),c_0_33]),c_0_60]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG078+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.13 % Command : run_ET %s %d
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 7 22:14:36 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.26/1.43 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.43 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.43 # Preprocessing time : 0.022 s
% 0.26/1.43
% 0.26/1.43 # Proof found!
% 0.26/1.43 # SZS status Theorem
% 0.26/1.43 # SZS output start CNFRefutation
% See solution above
% 0.26/1.43 # Proof object total steps : 62
% 0.26/1.43 # Proof object clause steps : 52
% 0.26/1.43 # Proof object formula steps : 10
% 0.26/1.43 # Proof object conjectures : 35
% 0.26/1.43 # Proof object clause conjectures : 32
% 0.26/1.43 # Proof object formula conjectures : 3
% 0.26/1.43 # Proof object initial clauses used : 28
% 0.26/1.43 # Proof object initial formulas used : 5
% 0.26/1.43 # Proof object generating inferences : 12
% 0.26/1.43 # Proof object simplifying inferences : 39
% 0.26/1.43 # Training examples: 0 positive, 0 negative
% 0.26/1.43 # Parsed axioms : 6
% 0.26/1.43 # Removed by relevancy pruning/SinE : 0
% 0.26/1.43 # Initial clauses : 166
% 0.26/1.43 # Removed in clause preprocessing : 0
% 0.26/1.43 # Initial clauses in saturation : 166
% 0.26/1.43 # Processed clauses : 229
% 0.26/1.43 # ...of these trivial : 0
% 0.26/1.43 # ...subsumed : 17
% 0.26/1.43 # ...remaining for further processing : 212
% 0.26/1.43 # Other redundant clauses eliminated : 0
% 0.26/1.43 # Clauses deleted for lack of memory : 0
% 0.26/1.43 # Backward-subsumed : 12
% 0.26/1.43 # Backward-rewritten : 74
% 0.26/1.43 # Generated clauses : 340
% 0.26/1.43 # ...of the previous two non-trivial : 351
% 0.26/1.43 # Contextual simplify-reflections : 0
% 0.26/1.43 # Paramodulations : 279
% 0.26/1.43 # Factorizations : 61
% 0.26/1.43 # Equation resolutions : 0
% 0.26/1.43 # Current number of processed clauses : 126
% 0.26/1.43 # Positive orientable unit clauses : 76
% 0.26/1.43 # Positive unorientable unit clauses: 0
% 0.26/1.43 # Negative unit clauses : 45
% 0.26/1.43 # Non-unit-clauses : 5
% 0.26/1.43 # Current number of unprocessed clauses: 57
% 0.26/1.43 # ...number of literals in the above : 189
% 0.26/1.43 # Current number of archived formulas : 0
% 0.26/1.43 # Current number of archived clauses : 86
% 0.26/1.43 # Clause-clause subsumption calls (NU) : 12
% 0.26/1.43 # Rec. Clause-clause subsumption calls : 12
% 0.26/1.43 # Non-unit clause-clause subsumptions : 12
% 0.26/1.43 # Unit Clause-clause subsumption calls : 898
% 0.26/1.43 # Rewrite failures with RHS unbound : 0
% 0.26/1.43 # BW rewrite match attempts : 6
% 0.26/1.43 # BW rewrite match successes : 6
% 0.26/1.43 # Condensation attempts : 0
% 0.26/1.43 # Condensation successes : 0
% 0.26/1.43 # Termbank termtop insertions : 7632
% 0.26/1.43
% 0.26/1.43 # -------------------------------------------------
% 0.26/1.43 # User time : 0.053 s
% 0.26/1.43 # System time : 0.002 s
% 0.26/1.43 # Total time : 0.055 s
% 0.26/1.43 # Maximum resident set size: 3640 pages
%------------------------------------------------------------------------------