TSTP Solution File: SWC412+1 by ET---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : SWC412+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n012.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 0.23s 1.41s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 59 ( 11 unt; 0 def)
% Number of atoms : 379 ( 127 equ)
% Maximal formula atoms : 156 ( 6 avg)
% Number of connectives : 485 ( 165 ~; 227 |; 71 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 5 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 : 101 ( 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) = X4 ) ) )
| ! [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(X12,nil),X13),cons(X11,nil)) != X3
& app(app(cons(X11,nil),X13),cons(X12,nil)) = X4 ) ) )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssList(X16)
=> app(app(cons(X14,nil),cons(X15,nil)),X16) != X2 ) ) )
| ! [X17] :
( ssItem(X17)
=> ! [X18] :
( ssItem(X18)
=> ! [X19] :
( ~ ssList(X19)
| app(app(cons(X17,nil),X19),cons(X18,nil)) != X2
| app(app(cons(X18,nil),X19),cons(X17,nil)) = X1 ) ) ) ) ) ) ) ) ),
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) = X4 ) ) )
| ! [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(X12,nil),X13),cons(X11,nil)) != X3
& app(app(cons(X11,nil),X13),cons(X12,nil)) = X4 ) ) )
| ! [X14] :
( ssItem(X14)
=> ! [X15] :
( ssItem(X15)
=> ! [X16] :
( ssList(X16)
=> app(app(cons(X14,nil),cons(X15,nil)),X16) != X2 ) ) )
| ! [X17] :
( ssItem(X17)
=> ! [X18] :
( ssItem(X18)
=> ! [X19] :
( ~ ssList(X19)
| app(app(cons(X17,nil),X19),cons(X18,nil)) != X2
| app(app(cons(X18,nil),X19),cons(X17,nil)) = X1 ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_2,negated_conjecture,
! [X24,X25,X26,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(X31,nil),X32),cons(X30,nil)) = esk3_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk4_0
| ~ ssItem(X24)
| ~ ssItem(X25)
| ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk4_0 )
& ( ssItem(esk8_0)
| ~ ssItem(X24)
| ~ ssItem(X25)
| ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk4_0 )
& ( ssItem(esk9_0)
| ~ ssItem(X24)
| ~ ssItem(X25)
| ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk4_0 )
& ( ssList(esk10_0)
| ~ ssItem(X24)
| ~ ssItem(X25)
| ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk4_0 )
& ( app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk2_0
| ~ ssItem(X24)
| ~ ssItem(X25)
| ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk4_0 )
& ( ssItem(esk11_0)
| ~ ssItem(X24)
| ~ ssItem(X25)
| ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk4_0 )
& ( ssItem(esk12_0)
| ~ ssItem(X24)
| ~ ssItem(X25)
| ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk4_0 )
& ( ssList(esk13_0)
| ~ ssItem(X24)
| ~ ssItem(X25)
| ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk4_0 )
& ( app(app(cons(esk11_0,nil),esk13_0),cons(esk12_0,nil)) = esk2_0
| ~ ssItem(X24)
| ~ ssItem(X25)
| ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk4_0 )
& ( app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0
| ~ ssItem(X24)
| ~ ssItem(X25)
| ~ ssList(X26)
| app(app(cons(X24,nil),cons(X25,nil)),X26) != esk4_0 )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = esk3_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk4_0
| ssItem(esk5_0) )
& ( ssItem(esk8_0)
| ssItem(esk5_0) )
& ( ssItem(esk9_0)
| ssItem(esk5_0) )
& ( ssList(esk10_0)
| ssItem(esk5_0) )
& ( app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk2_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),esk13_0),cons(esk12_0,nil)) = esk2_0
| ssItem(esk5_0) )
& ( app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0
| ssItem(esk5_0) )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = esk3_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk4_0
| ssItem(esk6_0) )
& ( ssItem(esk8_0)
| ssItem(esk6_0) )
& ( ssItem(esk9_0)
| ssItem(esk6_0) )
& ( ssList(esk10_0)
| ssItem(esk6_0) )
& ( app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk2_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),esk13_0),cons(esk12_0,nil)) = esk2_0
| ssItem(esk6_0) )
& ( app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0
| ssItem(esk6_0) )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = esk3_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk4_0
| ssList(esk7_0) )
& ( ssItem(esk8_0)
| ssList(esk7_0) )
& ( ssItem(esk9_0)
| ssList(esk7_0) )
& ( ssList(esk10_0)
| ssList(esk7_0) )
& ( app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk2_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),esk13_0),cons(esk12_0,nil)) = esk2_0
| ssList(esk7_0) )
& ( app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0
| ssList(esk7_0) )
& ( ~ ssItem(X30)
| ~ ssItem(X31)
| ~ ssList(X32)
| app(app(cons(X31,nil),X32),cons(X30,nil)) = esk3_0
| app(app(cons(X30,nil),X32),cons(X31,nil)) != esk4_0
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0 )
& ( ssItem(esk8_0)
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0 )
& ( ssItem(esk9_0)
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0 )
& ( ssList(esk10_0)
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0 )
& ( app(app(cons(esk8_0,nil),cons(esk9_0,nil)),esk10_0) = esk2_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),esk13_0),cons(esk12_0,nil)) = esk2_0
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0 )
& ( app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0
| app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_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)],[inference(fof_simplification,[status(thm)],[c_0_1])])])])])])])]) ).
cnf(c_0_3,negated_conjecture,
( app(app(cons(esk11_0,nil),esk13_0),cons(esk12_0,nil)) = 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),esk13_0),cons(esk12_0,nil)) = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6,negated_conjecture,
( ssItem(esk5_0)
| app(app(cons(esk11_0,nil),esk13_0),cons(esk12_0,nil)) = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( ssItem(esk6_0)
| app(app(cons(esk11_0,nil),esk13_0),cons(esk12_0,nil)) = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_8,negated_conjecture,
( ssList(esk7_0)
| app(app(cons(esk11_0,nil),esk13_0),cons(esk12_0,nil)) = esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk2_0
| app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0 ),
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) = esk2_0
| app(app(cons(X3,nil),X2),cons(X1,nil)) = esk3_0
| app(app(cons(X1,nil),X2),cons(X3,nil)) != esk4_0
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_11,negated_conjecture,
esk1_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( app(app(cons(esk11_0,nil),esk13_0),cons(esk12_0,nil)) = 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_13,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk4_0
| app(app(cons(esk11_0,nil),esk13_0),cons(esk12_0,nil)) = esk4_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_4]),c_0_4]) ).
cnf(c_0_14,negated_conjecture,
( app(app(cons(esk11_0,nil),esk13_0),cons(esk12_0,nil)) = esk4_0
| ssItem(esk5_0) ),
inference(rw,[status(thm)],[c_0_6,c_0_4]) ).
cnf(c_0_15,negated_conjecture,
( app(app(cons(esk11_0,nil),esk13_0),cons(esk12_0,nil)) = esk4_0
| ssItem(esk6_0) ),
inference(rw,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_16,negated_conjecture,
( app(app(cons(esk11_0,nil),esk13_0),cons(esk12_0,nil)) = esk4_0
| ssList(esk7_0) ),
inference(rw,[status(thm)],[c_0_8,c_0_4]) ).
cnf(c_0_17,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_18,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk4_0
| app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0 ),
inference(rw,[status(thm)],[c_0_9,c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( ssItem(esk5_0)
| app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( ssItem(esk6_0)
| app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_21,negated_conjecture,
( ssList(esk7_0)
| app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_22,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_23,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_24,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_25,negated_conjecture,
( ssList(esk7_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) = esk3_0
| app(app(cons(X1,nil),X2),cons(X3,nil)) != esk4_0
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_26,negated_conjecture,
( ssItem(esk6_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) = esk3_0
| app(app(cons(X1,nil),X2),cons(X3,nil)) != esk4_0
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_27,negated_conjecture,
( ssItem(esk5_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) = esk3_0
| app(app(cons(X1,nil),X2),cons(X3,nil)) != esk4_0
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_28,negated_conjecture,
( app(app(cons(esk5_0,nil),cons(esk6_0,nil)),esk7_0) = esk4_0
| app(app(cons(X1,nil),X2),cons(X3,nil)) = esk1_0
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk4_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_4]) ).
cnf(c_0_29,negated_conjecture,
app(app(cons(esk11_0,nil),esk13_0),cons(esk12_0,nil)) = esk4_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_16]) ).
cnf(c_0_30,negated_conjecture,
app(app(cons(esk12_0,nil),esk13_0),cons(esk11_0,nil)) != esk1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21]) ).
cnf(c_0_31,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_22,c_0_4]) ).
cnf(c_0_32,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_23,c_0_4]) ).
cnf(c_0_33,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_24,c_0_4]) ).
cnf(c_0_34,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk1_0
| ssList(esk7_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk4_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(rw,[status(thm)],[c_0_25,c_0_11]) ).
cnf(c_0_35,negated_conjecture,
( ssList(esk7_0)
| ssItem(esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_36,negated_conjecture,
( ssList(esk7_0)
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_37,negated_conjecture,
( ssList(esk7_0)
| ssList(esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_38,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk1_0
| ssItem(esk6_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk4_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(rw,[status(thm)],[c_0_26,c_0_11]) ).
cnf(c_0_39,negated_conjecture,
( ssItem(esk6_0)
| ssItem(esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_40,negated_conjecture,
( ssItem(esk6_0)
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,negated_conjecture,
( ssItem(esk6_0)
| ssList(esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_42,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk1_0
| ssItem(esk5_0)
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk4_0
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X3) ),
inference(rw,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_43,negated_conjecture,
( ssItem(esk5_0)
| ssItem(esk11_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_44,negated_conjecture,
( ssItem(esk5_0)
| ssItem(esk12_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_45,negated_conjecture,
( ssItem(esk5_0)
| ssList(esk13_0) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_46,negated_conjecture,
( app(app(cons(X6,nil),X5),cons(X4,nil)) = esk3_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| app(app(cons(X4,nil),X5),cons(X6,nil)) != esk4_0
| ~ ssList(X5)
| ~ ssItem(X6)
| ~ ssItem(X4) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_47,negated_conjecture,
( ssItem(esk12_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_48,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(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]) ).
cnf(c_0_49,negated_conjecture,
ssList(esk7_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_29]),c_0_30]),c_0_35]),c_0_36]),c_0_37]) ).
cnf(c_0_50,negated_conjecture,
ssItem(esk6_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_29]),c_0_30]),c_0_39]),c_0_40]),c_0_41]) ).
cnf(c_0_51,negated_conjecture,
ssItem(esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_29]),c_0_30]),c_0_43]),c_0_44]),c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( ssItem(esk11_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_53,negated_conjecture,
( app(app(cons(X1,nil),X2),cons(X3,nil)) = esk1_0
| app(app(cons(X3,nil),X2),cons(X1,nil)) != esk4_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk4_0
| ~ ssList(X2)
| ~ ssList(X6)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssItem(X5)
| ~ ssItem(X4) ),
inference(rw,[status(thm)],[c_0_46,c_0_11]) ).
cnf(c_0_54,negated_conjecture,
ssItem(esk12_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]),c_0_51])]) ).
cnf(c_0_55,negated_conjecture,
ssItem(esk11_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_48]),c_0_49]),c_0_50]),c_0_51])]) ).
cnf(c_0_56,negated_conjecture,
( ssList(esk13_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_57,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk4_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_29]),c_0_30]),c_0_54]),c_0_55])]),c_0_56]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_48]),c_0_49]),c_0_50]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC412+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.12 % Command : run_ET %s %d
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 11 23:21:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.41 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41 # Preprocessing time : 0.029 s
% 0.23/1.41
% 0.23/1.41 # Proof found!
% 0.23/1.41 # SZS status Theorem
% 0.23/1.41 # SZS output start CNFRefutation
% See solution above
% 0.23/1.41 # Proof object total steps : 59
% 0.23/1.41 # Proof object clause steps : 56
% 0.23/1.41 # Proof object formula steps : 3
% 0.23/1.41 # Proof object conjectures : 59
% 0.23/1.41 # Proof object clause conjectures : 56
% 0.23/1.41 # Proof object formula conjectures : 3
% 0.23/1.41 # Proof object initial clauses used : 32
% 0.23/1.41 # Proof object initial formulas used : 1
% 0.23/1.41 # Proof object generating inferences : 10
% 0.23/1.41 # Proof object simplifying inferences : 55
% 0.23/1.41 # Training examples: 0 positive, 0 negative
% 0.23/1.41 # Parsed axioms : 96
% 0.23/1.41 # Removed by relevancy pruning/SinE : 79
% 0.23/1.41 # Initial clauses : 79
% 0.23/1.41 # Removed in clause preprocessing : 0
% 0.23/1.41 # Initial clauses in saturation : 79
% 0.23/1.41 # Processed clauses : 163
% 0.23/1.41 # ...of these trivial : 3
% 0.23/1.41 # ...subsumed : 8
% 0.23/1.41 # ...remaining for further processing : 152
% 0.23/1.41 # Other redundant clauses eliminated : 0
% 0.23/1.41 # Clauses deleted for lack of memory : 0
% 0.23/1.41 # Backward-subsumed : 33
% 0.23/1.41 # Backward-rewritten : 60
% 0.23/1.41 # Generated clauses : 933
% 0.23/1.41 # ...of the previous two non-trivial : 898
% 0.23/1.41 # Contextual simplify-reflections : 76
% 0.23/1.41 # Paramodulations : 933
% 0.23/1.41 # Factorizations : 0
% 0.23/1.41 # Equation resolutions : 0
% 0.23/1.41 # Current number of processed clauses : 59
% 0.23/1.41 # Positive orientable unit clauses : 24
% 0.23/1.41 # Positive unorientable unit clauses: 0
% 0.23/1.41 # Negative unit clauses : 2
% 0.23/1.41 # Non-unit-clauses : 33
% 0.23/1.41 # Current number of unprocessed clauses: 148
% 0.23/1.41 # ...number of literals in the above : 578
% 0.23/1.41 # Current number of archived formulas : 0
% 0.23/1.41 # Current number of archived clauses : 93
% 0.23/1.41 # Clause-clause subsumption calls (NU) : 2850
% 0.23/1.41 # Rec. Clause-clause subsumption calls : 1120
% 0.23/1.41 # Non-unit clause-clause subsumptions : 80
% 0.23/1.41 # Unit Clause-clause subsumption calls : 192
% 0.23/1.41 # Rewrite failures with RHS unbound : 0
% 0.23/1.41 # BW rewrite match attempts : 12
% 0.23/1.41 # BW rewrite match successes : 12
% 0.23/1.41 # Condensation attempts : 0
% 0.23/1.41 # Condensation successes : 0
% 0.23/1.41 # Termbank termtop insertions : 17679
% 0.23/1.41
% 0.23/1.41 # -------------------------------------------------
% 0.23/1.41 # User time : 0.157 s
% 0.23/1.41 # System time : 0.002 s
% 0.23/1.41 # Total time : 0.159 s
% 0.23/1.41 # Maximum resident set size: 4060 pages
% 0.23/23.41 eprover: CPU time limit exceeded, terminating
% 0.23/23.42 eprover: CPU time limit exceeded, terminating
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.43 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.44 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.45 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.46 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.47 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.23/23.48 eprover: No such file or directory
% 0.23/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.23/23.48 eprover: No such file or directory
%------------------------------------------------------------------------------