%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG042+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:50:31 AM UTC 2026
% Result : Theorem 0.07s 0.34s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 58 ( 30 unt; 0 def)
% Number of atoms : 476 ( 459 equ)
% Maximal formula atoms : 72 ( 8 avg)
% Number of connectives : 474 ( 56 ~; 161 |; 252 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
( ( ( j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax2,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax4,axiom,
( op1(e13,e13) = e10
& op1(e13,e12) = e11
& op1(e13,e11) = e12
& op1(e13,e10) = e13
& op1(e12,e13) = e11
& op1(e12,e12) = e10
& op1(e12,e11) = e13
& op1(e12,e10) = e12
& op1(e11,e13) = e12
& op1(e11,e12) = e13
& op1(e11,e11) = e10
& op1(e11,e10) = e11
& op1(e10,e13) = e13
& op1(e10,e12) = e12
& op1(e10,e11) = e11
& op1(e10,e10) = e10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(ax5,axiom,
( op2(e23,e23) = e20
& op2(e23,e22) = e21
& op2(e23,e21) = e22
& op2(e23,e20) = e23
& op2(e22,e23) = e21
& op2(e22,e22) = e23
& op2(e22,e21) = e20
& op2(e22,e20) = e22
& op2(e21,e23) = e22
& op2(e21,e22) = e20
& op2(e21,e21) = e23
& op2(e21,e20) = e21
& op2(e20,e23) = e23
& op2(e20,e22) = e22
& op2(e20,e21) = e21
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(ax1,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(c_0_5,negated_conjecture,
~ ( ( ( j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_6,plain,
( epred1_0
<=> ( ( j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ) ),
introduced(definition) ).
fof(c_0_7,negated_conjecture,
~ ( epred1_0
=> ~ ( j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(apply_def,[status(thm)],[c_0_5,c_0_6]) ).
fof(c_0_8,plain,
( epred1_0
=> ( ( j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ) ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
fof(c_0_9,negated_conjecture,
( j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& epred1_0 ),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
( ( ~ epred1_0
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( ~ epred1_0
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( ~ epred1_0
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( ~ epred1_0
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( ~ epred1_0
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( ~ epred1_0
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( ~ epred1_0
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( ~ epred1_0
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_simplification,[status(thm)],[ax2]) ).
cnf(c_0_12,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
op1(e10,e10) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_14,plain,
( ~ epred1_0
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_16,plain,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
inference(fof_nnf,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
op2(h(e10),h(e10)) = h(e10),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
cnf(c_0_19,plain,
op2(e23,e23) = e20,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_20,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
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_17,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)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_25,plain,
op1(e11,e11) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_26,negated_conjecture,
( h(e10) = e20
| h(e10) = e21 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_27,plain,
op2(e21,e21) = e23,
inference(split_conjunct,[status(thm)],[ax5]) ).
cnf(c_0_28,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,plain,
( ~ epred1_0
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,negated_conjecture,
op2(h(e11),h(e11)) = h(e10),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
h(e10) = e20,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_26]),c_0_27]),c_0_28]) ).
cnf(c_0_32,negated_conjecture,
j(h(e11)) = e11,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_33,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_15])]) ).
cnf(c_0_34,negated_conjecture,
op2(h(e11),h(e11)) = e20,
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
( j(e23) = e11
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_36,plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_simplification,[status(thm)],[ax1]) ).
cnf(c_0_37,negated_conjecture,
( h(e11) = e20
| h(e11) = e21
| j(e23) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_22]),c_0_20]) ).
cnf(c_0_38,negated_conjecture,
j(h(e10)) = e10,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_39,plain,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
inference(fof_nnf,[status(thm)],[c_0_36]) ).
cnf(c_0_40,negated_conjecture,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_41,negated_conjecture,
( j(e23) = e11
| h(e11) = e20 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_37]),c_0_27]),c_0_20]) ).
cnf(c_0_42,negated_conjecture,
j(e20) = e10,
inference(rw,[status(thm)],[c_0_38,c_0_31]) ).
cnf(c_0_43,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
op1(j(e22),j(e22)) = j(e23),
inference(rw,[status(thm)],[c_0_40,c_0_22]) ).
cnf(c_0_45,negated_conjecture,
j(e23) = e11,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_46,plain,
( ~ epred1_0
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_47,negated_conjecture,
op1(j(e22),j(e22)) = e11,
inference(rw,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_48,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_15])]) ).
cnf(c_0_49,plain,
op1(e13,e13) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_50,plain,
( j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_43]) ).
cnf(c_0_51,plain,
op1(e12,e12) = e10,
inference(split_conjunct,[status(thm)],[ax4]) ).
cnf(c_0_52,negated_conjecture,
h(j(e23)) = e23,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_53,negated_conjecture,
h(j(e22)) = e22,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_54,negated_conjecture,
( j(e22) = e10
| j(e22) = e11 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_50]),c_0_51]),c_0_43]) ).
cnf(c_0_55,negated_conjecture,
h(e11) = e23,
inference(rw,[status(thm)],[c_0_52,c_0_45]) ).
cnf(c_0_56,negated_conjecture,
j(e22) = e10,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_23]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_56]),c_0_56]),c_0_13]),c_0_43]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG042+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 12:54:08 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.31 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 0.07/0.34 % Version: 3.5.1
% 0.07/0.34 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % Starting new_bool_1 with 300s (1) cores
% 0.07/0.34 % Starting sh5l with 300s (1) cores
% 0.07/0.34 % new_bool_3 with pid 2399799 completed with status 0
% 0.07/0.34 % Result found by new_bool_3
% 0.07/0.34 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.34 % Search class: FGUSF-FFMM21-SFFFFFNN
% 0.07/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.34 % SubtermCWHack with pid 2399804 completed with status 0
% 0.07/0.34 % Result found by SubtermCWHack
% 0.07/0.34 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.07/0.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.34 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.07/0.34 % Starting new_bool_3 with 300s (1) cores
% 0.07/0.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.07/0.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.07/0.34 % Search class: FGUSF-FFMM21-SFFFFFNN
% 0.07/0.34 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.07/0.34 % Starting SubtermCWHack with 31s (1) cores
% 0.07/0.34 % Preprocessing time : 0.001 s
% 0.07/0.34
% 0.07/0.34 % Proof found!
% 0.07/0.34 % SZS status Theorem
% 0.07/0.34 % SZS output start CNFRefutation
% See solution above
% 0.07/0.34 % Parsed axioms : 6
% 0.07/0.34 % Removed by relevancy pruning/SinE : 0
% 0.07/0.34 % Initial clauses : 109
% 0.07/0.34 % Removed in clause preprocessing : 0
% 0.07/0.34 % Initial clauses in saturation : 109
% 0.07/0.34 % Processed clauses : 163
% 0.07/0.34 % ...of these trivial : 2
% 0.07/0.34 % ...subsumed : 12
% 0.07/0.34 % ...remaining for further processing : 149
% 0.07/0.34 % Other redundant clauses eliminated : 0
% 0.07/0.34 % Clauses deleted for lack of memory : 0
% 0.07/0.34 % Backward-subsumed : 6
% 0.07/0.34 % Backward-rewritten : 56
% 0.07/0.34 % Generated clauses : 155
% 0.07/0.34 % ...of the previous two non-redundant : 162
% 0.07/0.34 % ...aggressively subsumed : 0
% 0.07/0.34 % Contextual simplify-reflections : 0
% 0.07/0.34 % Paramodulations : 128
% 0.07/0.34 % Factorizations : 27
% 0.07/0.34 % NegExts : 0
% 0.07/0.34 % Equation resolutions : 0
% 0.07/0.34 % Disequality decompositions : 0
% 0.07/0.34 % Total rewrite steps : 182
% 0.07/0.34 % ...of those cached : 138
% 0.07/0.34 % Propositional unsat checks : 0
% 0.07/0.34 % Propositional check models : 0
% 0.07/0.34 % Propositional check unsatisfiable : 0
% 0.07/0.34 % Propositional clauses : 0
% 0.07/0.34 % Propositional clauses after purity: 0
% 0.07/0.34 % Propositional unsat core size : 0
% 0.07/0.34 % Propositional preprocessing time : 0.000
% 0.07/0.34 % Propositional encoding time : 0.000
% 0.07/0.34 % Propositional solver time : 0.000
% 0.07/0.34 % Success case prop preproc time : 0.000
% 0.07/0.34 % Success case prop encoding time : 0.000
% 0.07/0.34 % Success case prop solver time : 0.000
% 0.07/0.34 % Current number of processed clauses : 87
% 0.07/0.34 % Positive orientable unit clauses : 56
% 0.07/0.34 % Positive unorientable unit clauses: 0
% 0.07/0.34 % Negative unit clauses : 28
% 0.07/0.34 % Non-unit-clauses : 3
% 0.07/0.34 % Current number of unprocessed clauses: 80
% 0.07/0.34 % ...number of literals in the above : 291
% 0.07/0.34 % Current number of archived formulas : 0
% 0.07/0.34 % Current number of archived clauses : 62
% 0.07/0.34 % Clause-clause subsumption calls (NU) : 6
% 0.07/0.34 % Rec. Clause-clause subsumption calls : 6
% 0.07/0.34 % Non-unit clause-clause subsumptions : 6
% 0.07/0.34 % Unit Clause-clause subsumption calls : 343
% 0.07/0.34 % Rewrite failures with RHS unbound : 0
% 0.07/0.34 % BW rewrite match attempts : 5
% 0.07/0.34 % BW rewrite match successes : 5
% 0.07/0.34 % Condensation attempts : 0
% 0.07/0.34 % Condensation successes : 0
% 0.07/0.34 % Termbank termtop insertions : 5151
% 0.07/0.34 % Search garbage collected termcells : 498
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.007 s
% 0.07/0.34 % System time : 0.000 s
% 0.07/0.34 % Total time : 0.007 s
% 0.07/0.34 % Maximum resident set size: 3672 pages
% 0.07/0.34
% 0.07/0.34 % -------------------------------------------------
% 0.07/0.34 % User time : 0.008 s
% 0.07/0.34 % System time : 0.003 s
% 0.07/0.34 % Total time : 0.011 s
% 0.07/0.34 % Maximum resident set size: 4864 pages
% 0.07/0.34 % E exiting
%------------------------------------------------------------------------------