TSTP Solution File: SWC413+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC413+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 20:28:35 EDT 2022
% Result : Theorem 0.26s 1.43s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 72 ( 13 unt; 0 def)
% Number of atoms : 395 ( 128 equ)
% Maximal formula atoms : 156 ( 5 avg)
% Number of connectives : 486 ( 163 ~; 226 |; 71 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 32 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ( ( ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(app(cons(X5,nil),cons(X6,nil)),X7) = X2
& app(app(cons(X6,nil),cons(X5,nil)),X7) = X1 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(cons(X11,nil),cons(X12,nil)),X13) != X4
| app(app(cons(X12,nil),cons(X11,nil)),X13) != X3 ) ) ) ) )
& ( ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& app(app(cons(X14,nil),cons(X15,nil)),X16) = X4 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).
fof(c_0_1,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( X2 != X4
| X1 != X3
| ( ( ? [X5] :
( ssItem(X5)
& ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(app(cons(X5,nil),cons(X6,nil)),X7) = X2
& app(app(cons(X6,nil),cons(X5,nil)),X7) = X1 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(cons(X11,nil),cons(X12,nil)),X13) != X4
| app(app(cons(X12,nil),cons(X11,nil)),X13) != X3 ) ) ) ) )
& ( ? [X14] :
( ssItem(X14)
& ? [X15] :
( ssItem(X15)
& ? [X16] :
( ssList(X16)
& app(app(cons(X14,nil),cons(X15,nil)),X16) = X4 ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
! [X21,X22,X23,X30,X31,X32] :
( ssList(esk1_0)
& ssList(esk2_0)
& ssList(esk3_0)
& ssList(esk4_0)
& esk2_0 = esk4_0
& esk1_0 = esk3_0
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk4_0
| ~ ssItem(X21)
| ~ ssItem(X22)
| ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk2_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk1_0 )
& ( ssItem(esk11_0)
| ~ ssItem(X21)
| ~ ssItem(X22)
| ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk2_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk1_0 )
& ( ssItem(esk12_0)
| ~ ssItem(X21)
| ~ ssItem(X22)
| ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk2_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk1_0 )
& ( ssList(esk13_0)
| ~ ssItem(X21)
| ~ ssItem(X22)
| ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk2_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk1_0 )
& ( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0
| ~ ssItem(X21)
| ~ ssItem(X22)
| ~ ssList(X23)
| app(app(cons(X21,nil),cons(X22,nil)),X23) != esk2_0
| app(app(cons(X22,nil),cons(X21,nil)),X23) != esk1_0 )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk4_0
| ssItem(esk5_0) )
& ( ssItem(esk11_0)
| ssItem(esk5_0) )
& ( ssItem(esk12_0)
| ssItem(esk5_0) )
& ( ssList(esk13_0)
| ssItem(esk5_0) )
& ( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0
| ssItem(esk5_0) )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk4_0
| ssItem(esk6_0) )
& ( ssItem(esk11_0)
| ssItem(esk6_0) )
& ( ssItem(esk12_0)
| ssItem(esk6_0) )
& ( ssList(esk13_0)
| ssItem(esk6_0) )
& ( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0
| ssItem(esk6_0) )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk4_0
| ssList(esk7_0) )
& ( ssItem(esk11_0)
| ssList(esk7_0) )
& ( ssItem(esk12_0)
| ssList(esk7_0) )
& ( ssList(esk13_0)
| ssList(esk7_0) )
& ( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0
| ssList(esk7_0) )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk4_0
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0 )
& ( ssItem(esk11_0)
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0 )
& ( ssItem(esk12_0)
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0 )
& ( ssList(esk13_0)
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0 )
& ( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0 )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk4_0
| ssItem(esk8_0) )
& ( ssItem(esk11_0)
| ssItem(esk8_0) )
& ( ssItem(esk12_0)
| ssItem(esk8_0) )
& ( ssList(esk13_0)
| ssItem(esk8_0) )
& ( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0
| ssItem(esk8_0) )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk4_0
| ssItem(esk9_0) )
& ( ssItem(esk11_0)
| ssItem(esk9_0) )
& ( ssItem(esk12_0)
| ssItem(esk9_0) )
& ( ssList(esk13_0)
| ssItem(esk9_0) )
& ( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0
| ssItem(esk9_0) )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk4_0
| ssList(esk10_0) )
& ( ssItem(esk11_0)
| ssList(esk10_0) )
& ( ssItem(esk12_0)
| ssList(esk10_0) )
& ( ssList(esk13_0)
| ssList(esk10_0) )
& ( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0
| ssList(esk10_0) )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk4_0
| app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0 )
& ( ssItem(esk11_0)
| app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0 )
& ( ssItem(esk12_0)
| app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0 )
& ( ssList(esk13_0)
| app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0 )
& ( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0
| app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0 )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X30,nil),cons(X31,nil)),X32) != esk4_0
| app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk3_0 )
& ( ssItem(esk11_0)
| app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk3_0 )
& ( ssItem(esk12_0)
| app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk3_0 )
& ( ssList(esk13_0)
| app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk3_0 )
& ( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0
| app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk3_0 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
esk2_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0
| app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0
| ssItem(esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0
| ssList(esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk1_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk2_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2)
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk4_0
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk4_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_11,negated_conjecture,
( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk4_0
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk4_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_4]),c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk4_0
| ssItem(esk11_0) ),
inference(rw,[status(thm)],[c_0_6,c_0_4]) ).
cnf(c_0_13,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk4_0
| ssItem(esk12_0) ),
inference(rw,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_14,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk4_0
| ssList(esk13_0) ),
inference(rw,[status(thm)],[c_0_8,c_0_4]) ).
cnf(c_0_15,negated_conjecture,
( app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0
| app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk3_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk3_0
| app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_19,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk3_0
| ssItem(esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk3_0
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk3_0
| ssList(esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk4_0
| app(app(cons(X5,nil),cons(X4,nil)),X6) != esk1_0
| ~ ssList(X3)
| ~ ssList(X6)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X4)
| ~ ssItem(X5) ),
inference(rw,[status(thm)],[c_0_9,c_0_4]) ).
cnf(c_0_23,negated_conjecture,
app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),c_0_13]),c_0_14]) ).
cnf(c_0_24,negated_conjecture,
( ssItem(esk5_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_25,negated_conjecture,
( ssItem(esk6_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,negated_conjecture,
( ssList(esk7_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,negated_conjecture,
( app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk4_0
| app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0 ),
inference(rw,[status(thm)],[c_0_15,c_0_4]) ).
cnf(c_0_29,negated_conjecture,
( app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0
| ssItem(esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_30,negated_conjecture,
( app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_31,negated_conjecture,
( app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0
| ssList(esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_32,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk1_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_33,negated_conjecture,
( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk4_0
| app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk1_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_17]),c_0_4]) ).
cnf(c_0_34,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk1_0
| ssItem(esk11_0) ),
inference(rw,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_35,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk1_0
| ssItem(esk12_0) ),
inference(rw,[status(thm)],[c_0_20,c_0_17]) ).
cnf(c_0_36,negated_conjecture,
( app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk1_0
| ssList(esk13_0) ),
inference(rw,[status(thm)],[c_0_21,c_0_17]) ).
cnf(c_0_37,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk1_0
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_26]) ).
cnf(c_0_38,negated_conjecture,
app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_30]),c_0_31]) ).
cnf(c_0_39,negated_conjecture,
app(app(cons(esk9_0,nil),cons(esk8_0,nil)),esk10_0) = esk1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35]),c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( ssList(esk10_0)
| app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,negated_conjecture,
( ssItem(esk9_0)
| app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,negated_conjecture,
( ssItem(esk8_0)
| app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_43,negated_conjecture,
( ssList(esk10_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_44,negated_conjecture,
( ssItem(esk9_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,negated_conjecture,
( ssItem(esk8_0)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
( ~ ssList(esk10_0)
| ~ ssItem(esk8_0)
| ~ ssItem(esk9_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_47,negated_conjecture,
( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk4_0
| ssList(esk10_0) ),
inference(rw,[status(thm)],[c_0_40,c_0_4]) ).
cnf(c_0_48,negated_conjecture,
( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk4_0
| ssItem(esk9_0) ),
inference(rw,[status(thm)],[c_0_41,c_0_4]) ).
cnf(c_0_49,negated_conjecture,
( app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk4_0
| ssItem(esk8_0) ),
inference(rw,[status(thm)],[c_0_42,c_0_4]) ).
cnf(c_0_50,negated_conjecture,
( ssList(esk10_0)
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_51,negated_conjecture,
( ssItem(esk9_0)
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_52,negated_conjecture,
( ssItem(esk8_0)
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_53,negated_conjecture,
( ssList(esk10_0)
| ssItem(esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_54,negated_conjecture,
( ssItem(esk9_0)
| ssItem(esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_55,negated_conjecture,
( ssItem(esk8_0)
| ssItem(esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_56,negated_conjecture,
( ssList(esk10_0)
| ~ ssList(esk7_0)
| ~ ssItem(esk6_0)
| ~ ssItem(esk5_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_23]) ).
cnf(c_0_57,negated_conjecture,
( ssItem(esk9_0)
| ~ ssList(esk7_0)
| ~ ssItem(esk6_0)
| ~ ssItem(esk5_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_23]) ).
cnf(c_0_58,negated_conjecture,
( ssItem(esk8_0)
| ~ ssList(esk7_0)
| ~ ssItem(esk6_0)
| ~ ssItem(esk5_0) ),
inference(spm,[status(thm)],[c_0_45,c_0_23]) ).
cnf(c_0_59,negated_conjecture,
app(app(cons(esk11_0,nil),cons(esk12_0,nil)),esk13_0) = esk4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_60,negated_conjecture,
ssItem(esk12_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_61,negated_conjecture,
ssItem(esk11_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( ssItem(esk5_0)
| ssList(esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_63,negated_conjecture,
( ~ ssList(esk7_0)
| ~ ssItem(esk6_0)
| ~ ssItem(esk5_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_56]),c_0_57]),c_0_58]) ).
cnf(c_0_64,negated_conjecture,
ssItem(esk5_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_59]),c_0_60]),c_0_61])]),c_0_62]) ).
cnf(c_0_65,negated_conjecture,
( ssItem(esk6_0)
| ssList(esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_66,negated_conjecture,
( ~ ssList(esk7_0)
| ~ ssItem(esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_67,negated_conjecture,
ssItem(esk6_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_59]),c_0_60]),c_0_61])]),c_0_65]) ).
cnf(c_0_68,negated_conjecture,
( ssList(esk7_0)
| ssList(esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_69,negated_conjecture,
~ ssList(esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]) ).
cnf(c_0_70,negated_conjecture,
ssList(esk13_0),
inference(sr,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_59]),c_0_60]),c_0_61])]),c_0_70])]),c_0_69]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC413+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : run_ET %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 12 15:32:05 EDT 2022
% 0.13/0.35 % 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 : 0.029 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 : 72
% 0.26/1.43 # Proof object clause steps : 69
% 0.26/1.43 # Proof object formula steps : 3
% 0.26/1.43 # Proof object conjectures : 72
% 0.26/1.43 # Proof object clause conjectures : 69
% 0.26/1.43 # Proof object formula conjectures : 3
% 0.26/1.43 # Proof object initial clauses used : 36
% 0.26/1.43 # Proof object initial formulas used : 1
% 0.26/1.43 # Proof object generating inferences : 15
% 0.26/1.43 # Proof object simplifying inferences : 58
% 0.26/1.43 # Training examples: 0 positive, 0 negative
% 0.26/1.43 # Parsed axioms : 96
% 0.26/1.43 # Removed by relevancy pruning/SinE : 79
% 0.26/1.43 # Initial clauses : 79
% 0.26/1.43 # Removed in clause preprocessing : 0
% 0.26/1.43 # Initial clauses in saturation : 79
% 0.26/1.43 # Processed clauses : 233
% 0.26/1.43 # ...of these trivial : 3
% 0.26/1.43 # ...subsumed : 20
% 0.26/1.43 # ...remaining for further processing : 209
% 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 : 44
% 0.26/1.43 # Backward-rewritten : 85
% 0.26/1.43 # Generated clauses : 1562
% 0.26/1.43 # ...of the previous two non-trivial : 1477
% 0.26/1.43 # Contextual simplify-reflections : 136
% 0.26/1.43 # Paramodulations : 1558
% 0.26/1.43 # Factorizations : 0
% 0.26/1.43 # Equation resolutions : 3
% 0.26/1.43 # Current number of processed clauses : 79
% 0.26/1.43 # Positive orientable unit clauses : 25
% 0.26/1.43 # Positive unorientable unit clauses: 0
% 0.26/1.43 # Negative unit clauses : 3
% 0.26/1.43 # Non-unit-clauses : 51
% 0.26/1.43 # Current number of unprocessed clauses: 182
% 0.26/1.43 # ...number of literals in the above : 696
% 0.26/1.43 # Current number of archived formulas : 0
% 0.26/1.43 # Current number of archived clauses : 130
% 0.26/1.43 # Clause-clause subsumption calls (NU) : 3107
% 0.26/1.43 # Rec. Clause-clause subsumption calls : 1128
% 0.26/1.43 # Non-unit clause-clause subsumptions : 168
% 0.26/1.43 # Unit Clause-clause subsumption calls : 262
% 0.26/1.43 # Rewrite failures with RHS unbound : 0
% 0.26/1.43 # BW rewrite match attempts : 16
% 0.26/1.43 # BW rewrite match successes : 13
% 0.26/1.43 # Condensation attempts : 0
% 0.26/1.43 # Condensation successes : 0
% 0.26/1.43 # Termbank termtop insertions : 26958
% 0.26/1.43
% 0.26/1.43 # -------------------------------------------------
% 0.26/1.43 # User time : 0.223 s
% 0.26/1.43 # System time : 0.005 s
% 0.26/1.43 # Total time : 0.228 s
% 0.26/1.43 # Maximum resident set size: 4312 pages
% 0.26/23.43 eprover: CPU time limit exceeded, terminating
% 0.26/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.44 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.45 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.46 eprover: No such file or directory
% 0.26/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.47 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.48 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.49 eprover: No such file or directory
% 0.26/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.26/23.50 eprover: No such file or directory
%------------------------------------------------------------------------------