%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SWC413+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 02:44:19 PM UTC 2026
% Result : Theorem 5.61s 1.32s
% Output : CNFRefutation 5.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 11
% Syntax : Number of formulae : 177 ( 53 unt; 0 def)
% Number of atoms : 650 ( 234 equ)
% Maximal formula atoms : 156 ( 3 avg)
% Number of connectives : 741 ( 268 ~; 339 |; 79 &)
% ( 2 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 192 ( 0 sgn 79 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( ( ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ? [X14] :
( ? [X15] :
( ? [X16] :
( app(app(cons(X14,nil),cons(X15,nil)),X16) = X4
& ssList(X16) )
& ssItem(X15) )
& ssItem(X14) ) )
& ( ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(cons(X12,nil),cons(X11,nil)),X13) != X3
| app(app(cons(X11,nil),cons(X12,nil)),X13) != X4 ) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(cons(X6,nil),cons(X5,nil)),X7) = X1
& app(app(cons(X5,nil),cons(X6,nil)),X7) = X2
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) ) ) )
| X1 != X3
| X2 != X4 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax81,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,X1) = app(cons(X2,nil),X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax81) ).
fof(ax16,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ssList(cons(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax16) ).
fof(ax17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax17) ).
fof(ax27,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssItem(X3)
=> cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax27) ).
fof(ax25,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> tl(cons(X2,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax25) ).
fof(ax26,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ssList(app(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax26) ).
fof(ax28,axiom,
! [X1] :
( ssList(X1)
=> app(nil,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax28) ).
fof(ax23,axiom,
! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> hd(cons(X2,X1)) = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax23) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( ( ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ? [X14] :
( ? [X15] :
( ? [X16] :
( app(app(cons(X14,nil),cons(X15,nil)),X16) = X4
& ssList(X16) )
& ssItem(X15) )
& ssItem(X14) ) )
& ( ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(cons(X12,nil),cons(X11,nil)),X13) != X3
| app(app(cons(X11,nil),cons(X12,nil)),X13) != X4 ) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(cons(X6,nil),cons(X5,nil)),X7) = X1
& app(app(cons(X5,nil),cons(X6,nil)),X7) = X2
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) ) ) )
| X1 != X3
| X2 != X4 ) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( ( ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ? [X14] :
( ? [X15] :
( ? [X16] :
( app(app(cons(X14,nil),cons(X15,nil)),X16) = X4
& ssList(X16) )
& ssItem(X15) )
& ssItem(X14) ) )
& ( ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( app(app(cons(X12,nil),cons(X11,nil)),X13) != X3
| app(app(cons(X11,nil),cons(X12,nil)),X13) != X4 ) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != X2 ) ) )
| ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(cons(X6,nil),cons(X5,nil)),X7) = X1
& app(app(cons(X5,nil),cons(X6,nil)),X7) = X2
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) ) ) )
| X1 != X3
| X2 != X4 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_11,negated_conjecture,
! [X265,X266,X267,X274,X275,X276] :
( ( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 )
& ( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssList(esk60_0) )
& ( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssItem(esk59_0) )
& ( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssItem(esk58_0) )
& ( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| app(app(cons(X274,nil),cons(X275,nil)),X276) != esk51_0
| ~ ssList(X276)
| ~ ssItem(X275)
| ~ ssItem(X274) )
& ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 )
& ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssList(esk60_0) )
& ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssItem(esk59_0) )
& ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssItem(esk58_0) )
& ( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| app(app(cons(X274,nil),cons(X275,nil)),X276) != esk51_0
| ~ ssList(X276)
| ~ ssItem(X275)
| ~ ssItem(X274) )
& ( ssList(esk57_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 )
& ( ssList(esk57_0)
| ssList(esk60_0) )
& ( ssList(esk57_0)
| ssItem(esk59_0) )
& ( ssList(esk57_0)
| ssItem(esk58_0) )
& ( ssList(esk57_0)
| app(app(cons(X274,nil),cons(X275,nil)),X276) != esk51_0
| ~ ssList(X276)
| ~ ssItem(X275)
| ~ ssItem(X274) )
& ( ssItem(esk56_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 )
& ( ssItem(esk56_0)
| ssList(esk60_0) )
& ( ssItem(esk56_0)
| ssItem(esk59_0) )
& ( ssItem(esk56_0)
| ssItem(esk58_0) )
& ( ssItem(esk56_0)
| app(app(cons(X274,nil),cons(X275,nil)),X276) != esk51_0
| ~ ssList(X276)
| ~ ssItem(X275)
| ~ ssItem(X274) )
& ( ssItem(esk55_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 )
& ( ssItem(esk55_0)
| ssList(esk60_0) )
& ( ssItem(esk55_0)
| ssItem(esk59_0) )
& ( ssItem(esk55_0)
| ssItem(esk58_0) )
& ( ssItem(esk55_0)
| app(app(cons(X274,nil),cons(X275,nil)),X276) != esk51_0
| ~ ssList(X276)
| ~ ssItem(X275)
| ~ ssItem(X274) )
& ( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 )
& ( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssList(esk60_0) )
& ( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssItem(esk59_0) )
& ( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| ssItem(esk58_0) )
& ( app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0
| app(app(cons(X274,nil),cons(X275,nil)),X276) != esk51_0
| ~ ssList(X276)
| ~ ssItem(X275)
| ~ ssItem(X274) )
& ( ssList(esk54_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 )
& ( ssList(esk54_0)
| ssList(esk60_0) )
& ( ssList(esk54_0)
| ssItem(esk59_0) )
& ( ssList(esk54_0)
| ssItem(esk58_0) )
& ( ssList(esk54_0)
| app(app(cons(X274,nil),cons(X275,nil)),X276) != esk51_0
| ~ ssList(X276)
| ~ ssItem(X275)
| ~ ssItem(X274) )
& ( ssItem(esk53_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 )
& ( ssItem(esk53_0)
| ssList(esk60_0) )
& ( ssItem(esk53_0)
| ssItem(esk59_0) )
& ( ssItem(esk53_0)
| ssItem(esk58_0) )
& ( ssItem(esk53_0)
| app(app(cons(X274,nil),cons(X275,nil)),X276) != esk51_0
| ~ ssList(X276)
| ~ ssItem(X275)
| ~ ssItem(X274) )
& ( ssItem(esk52_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 )
& ( ssItem(esk52_0)
| ssList(esk60_0) )
& ( ssItem(esk52_0)
| ssItem(esk59_0) )
& ( ssItem(esk52_0)
| ssItem(esk58_0) )
& ( ssItem(esk52_0)
| app(app(cons(X274,nil),cons(X275,nil)),X276) != esk51_0
| ~ ssList(X276)
| ~ ssItem(X275)
| ~ ssItem(X274) )
& ( app(app(cons(X266,nil),cons(X265,nil)),X267) != esk48_0
| app(app(cons(X265,nil),cons(X266,nil)),X267) != esk49_0
| ~ ssList(X267)
| ~ ssItem(X266)
| ~ ssItem(X265)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 )
& ( app(app(cons(X266,nil),cons(X265,nil)),X267) != esk48_0
| app(app(cons(X265,nil),cons(X266,nil)),X267) != esk49_0
| ~ ssList(X267)
| ~ ssItem(X266)
| ~ ssItem(X265)
| ssList(esk60_0) )
& ( app(app(cons(X266,nil),cons(X265,nil)),X267) != esk48_0
| app(app(cons(X265,nil),cons(X266,nil)),X267) != esk49_0
| ~ ssList(X267)
| ~ ssItem(X266)
| ~ ssItem(X265)
| ssItem(esk59_0) )
& ( app(app(cons(X266,nil),cons(X265,nil)),X267) != esk48_0
| app(app(cons(X265,nil),cons(X266,nil)),X267) != esk49_0
| ~ ssList(X267)
| ~ ssItem(X266)
| ~ ssItem(X265)
| ssItem(esk58_0) )
& ( app(app(cons(X266,nil),cons(X265,nil)),X267) != esk48_0
| app(app(cons(X265,nil),cons(X266,nil)),X267) != esk49_0
| ~ ssList(X267)
| ~ ssItem(X266)
| ~ ssItem(X265)
| app(app(cons(X274,nil),cons(X275,nil)),X276) != esk51_0
| ~ ssList(X276)
| ~ ssItem(X275)
| ~ ssItem(X274) )
& esk48_0 = esk50_0
& esk49_0 = esk51_0
& ssList(esk51_0)
& ssList(esk50_0)
& ssList(esk49_0)
& ssList(esk48_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).
cnf(c_0_12,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ssItem(esk56_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_13,negated_conjecture,
esk49_0 = esk51_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
esk48_0 = esk50_0,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X230,X231] :
( cons(X231,X230) = app(cons(X231,nil),X230)
| ~ ssItem(X231)
| ~ ssList(X230) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax81])])])]) ).
cnf(c_0_17,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ssItem(esk56_0) ),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,negated_conjecture,
( ssItem(esk56_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,negated_conjecture,
( ssItem(esk56_0)
| ssItem(esk58_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,negated_conjecture,
( ssItem(esk56_0)
| ssItem(esk59_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,negated_conjecture,
( ssItem(esk56_0)
| ssList(esk60_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ssItem(esk55_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_23,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ssList(esk57_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_24,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_25,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| cons(X2,X1) = app(cons(X2,nil),X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
ssItem(esk56_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]) ).
fof(c_0_27,plain,
! [X121,X122] :
( ssList(cons(X122,X121))
| ~ ssItem(X122)
| ~ ssList(X121) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])])])]) ).
cnf(c_0_28,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ssItem(esk55_0) ),
inference(rw,[status(thm)],[c_0_22,c_0_13]) ).
cnf(c_0_29,negated_conjecture,
( ssItem(esk55_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_30,negated_conjecture,
( ssItem(esk55_0)
| ssItem(esk58_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_31,negated_conjecture,
( ssItem(esk55_0)
| ssItem(esk59_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( ssItem(esk55_0)
| ssList(esk60_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_33,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssList(esk60_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_34,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ssList(esk57_0) ),
inference(rw,[status(thm)],[c_0_23,c_0_13]) ).
cnf(c_0_35,negated_conjecture,
( ssList(esk57_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_36,negated_conjecture,
( ssList(esk57_0)
| ssItem(esk58_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_37,negated_conjecture,
( ssList(esk57_0)
| ssItem(esk59_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_38,negated_conjecture,
( ssList(esk57_0)
| ssList(esk60_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_39,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssList(esk60_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_40,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssItem(esk59_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_41,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssItem(esk59_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_42,negated_conjecture,
( app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0
| ssItem(esk58_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_43,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| ssItem(esk58_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_44,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk50_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_45,negated_conjecture,
( ~ ssList(cons(esk55_0,nil))
| app(cons(esk56_0,cons(esk55_0,nil)),esk57_0) = esk48_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_46,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| ssList(cons(X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_47,plain,
ssList(nil),
inference(split_conjunct,[status(thm)],[ax17]) ).
cnf(c_0_48,negated_conjecture,
ssItem(esk55_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),c_0_31]),c_0_32]) ).
cnf(c_0_49,negated_conjecture,
( app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ssList(esk60_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_50,negated_conjecture,
( ssList(esk60_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0 ),
inference(rw,[status(thm)],[c_0_33,c_0_15]) ).
cnf(c_0_51,negated_conjecture,
ssList(esk57_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_52,negated_conjecture,
( ssList(esk60_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0 ),
inference(rw,[status(thm)],[c_0_39,c_0_13]) ).
cnf(c_0_53,negated_conjecture,
( app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ssItem(esk59_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_54,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0 ),
inference(rw,[status(thm)],[c_0_40,c_0_15]) ).
cnf(c_0_55,negated_conjecture,
( ssItem(esk59_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0 ),
inference(rw,[status(thm)],[c_0_41,c_0_13]) ).
cnf(c_0_56,negated_conjecture,
( app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ssItem(esk58_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_57,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0 ),
inference(rw,[status(thm)],[c_0_42,c_0_15]) ).
cnf(c_0_58,negated_conjecture,
( ssItem(esk58_0)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0 ),
inference(rw,[status(thm)],[c_0_43,c_0_13]) ).
cnf(c_0_59,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_15]),c_0_13]) ).
cnf(c_0_60,negated_conjecture,
( app(cons(esk56_0,cons(esk55_0,nil)),esk57_0) = esk48_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_61,negated_conjecture,
ssList(esk60_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_26]),c_0_48])]),c_0_52]) ).
cnf(c_0_62,negated_conjecture,
ssItem(esk59_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_51]),c_0_26]),c_0_48])]),c_0_55]) ).
cnf(c_0_63,negated_conjecture,
ssItem(esk58_0),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_51]),c_0_26]),c_0_48])]),c_0_58]) ).
cnf(c_0_64,negated_conjecture,
( app(cons(esk56_0,cons(esk55_0,nil)),esk57_0) = esk48_0
| app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_62]),c_0_63])]) ).
fof(c_0_65,plain,
! [X142,X143,X144] :
( cons(X144,app(X143,X142)) = app(cons(X144,X143),X142)
| ~ ssItem(X144)
| ~ ssList(X143)
| ~ ssList(X142) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax27])])])]) ).
cnf(c_0_66,negated_conjecture,
( ~ ssList(cons(esk55_0,nil))
| app(cons(esk56_0,cons(esk55_0,nil)),esk57_0) = esk48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_25]),c_0_26])]) ).
cnf(c_0_67,plain,
( ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X3,app(X2,X1)) = app(cons(X3,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_68,negated_conjecture,
app(cons(esk56_0,cons(esk55_0,nil)),esk57_0) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_69,negated_conjecture,
( ~ ssList(cons(esk55_0,nil))
| cons(esk56_0,app(cons(esk55_0,nil),esk57_0)) = esk48_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_51]),c_0_26])]) ).
fof(c_0_70,plain,
! [X138,X139] :
( tl(cons(X139,X138)) = X138
| ~ ssItem(X139)
| ~ ssList(X138) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax25])])])]) ).
cnf(c_0_71,negated_conjecture,
cons(esk56_0,app(cons(esk55_0,nil),esk57_0)) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_72,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| tl(cons(X2,X1)) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_73,negated_conjecture,
cons(esk56_0,cons(esk55_0,esk57_0)) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_25]),c_0_51]),c_0_48])]) ).
cnf(c_0_74,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_75,negated_conjecture,
( ~ ssList(cons(esk55_0,esk57_0))
| tl(esk48_0) = cons(esk55_0,esk57_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_26])]) ).
cnf(c_0_76,negated_conjecture,
( app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(rw,[status(thm)],[c_0_74,c_0_13]) ).
cnf(c_0_77,negated_conjecture,
tl(esk48_0) = cons(esk55_0,esk57_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_46]),c_0_51]),c_0_48])]) ).
fof(c_0_78,plain,
! [X140,X141] :
( ssList(app(X140,X141))
| ~ ssList(X141)
| ~ ssList(X140) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax26])])])]) ).
cnf(c_0_79,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk51_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_80,negated_conjecture,
( ~ ssList(cons(esk56_0,nil))
| app(cons(esk55_0,cons(esk56_0,nil)),esk57_0) = esk49_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_25]),c_0_48])]) ).
cnf(c_0_81,negated_conjecture,
( ~ ssList(app(cons(esk55_0,nil),esk57_0))
| app(cons(esk55_0,nil),esk57_0) = cons(esk55_0,esk57_0) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_71]),c_0_26])]),c_0_77]) ).
cnf(c_0_82,plain,
( ~ ssList(X2)
| ~ ssList(X1)
| ssList(app(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_83,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0 ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_13]),c_0_13]) ).
cnf(c_0_84,negated_conjecture,
( app(cons(esk55_0,cons(esk56_0,nil)),esk57_0) = esk49_0
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_46]),c_0_47]),c_0_26])]) ).
cnf(c_0_85,negated_conjecture,
( ~ ssList(cons(esk55_0,nil))
| app(cons(esk55_0,nil),esk57_0) = cons(esk55_0,esk57_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_51])]) ).
cnf(c_0_86,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_87,negated_conjecture,
( app(cons(esk55_0,cons(esk56_0,nil)),esk57_0) = esk49_0
| app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_61]),c_0_62]),c_0_63])]) ).
cnf(c_0_88,negated_conjecture,
app(cons(esk55_0,nil),esk57_0) = cons(esk55_0,esk57_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_46]),c_0_47]),c_0_48])]) ).
cnf(c_0_89,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 ),
inference(rw,[status(thm)],[c_0_86,c_0_13]) ).
cnf(c_0_90,negated_conjecture,
( ~ ssList(cons(esk56_0,nil))
| app(cons(esk55_0,cons(esk56_0,nil)),esk57_0) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_25]),c_0_48])]) ).
cnf(c_0_91,negated_conjecture,
cons(esk55_0,app(nil,esk57_0)) = cons(esk55_0,esk57_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_88]),c_0_47]),c_0_51]),c_0_48])]) ).
fof(c_0_92,plain,
! [X145] :
( app(nil,X145) = X145
| ~ ssList(X145) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax28])])]) ).
cnf(c_0_93,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(cons(X2,nil))
| app(cons(X1,cons(X2,nil)),X3) != esk49_0
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 ),
inference(spm,[status(thm)],[c_0_89,c_0_25]) ).
cnf(c_0_94,negated_conjecture,
app(cons(esk55_0,cons(esk56_0,nil)),esk57_0) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_46]),c_0_47]),c_0_26])]) ).
cnf(c_0_95,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ssItem(esk52_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_96,negated_conjecture,
( ~ ssList(app(nil,esk57_0))
| tl(cons(esk55_0,esk57_0)) = app(nil,esk57_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_91]),c_0_48])]) ).
cnf(c_0_97,plain,
( ~ ssList(X1)
| app(nil,X1) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_98,negated_conjecture,
( ~ ssList(cons(esk56_0,nil))
| app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_51]),c_0_26]),c_0_48])]) ).
cnf(c_0_99,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ssItem(esk52_0) ),
inference(rw,[status(thm)],[c_0_95,c_0_13]) ).
cnf(c_0_100,negated_conjecture,
( ssItem(esk52_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_101,negated_conjecture,
( ssItem(esk52_0)
| ssItem(esk58_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_102,negated_conjecture,
( ssItem(esk52_0)
| ssItem(esk59_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_103,negated_conjecture,
( ssItem(esk52_0)
| ssList(esk60_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_104,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ssItem(esk53_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_105,negated_conjecture,
tl(cons(esk55_0,esk57_0)) = esk57_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_51])]) ).
cnf(c_0_106,negated_conjecture,
app(app(cons(esk52_0,nil),cons(esk53_0,nil)),esk54_0) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_46]),c_0_47]),c_0_26])]) ).
cnf(c_0_107,negated_conjecture,
ssItem(esk52_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_101]),c_0_102]),c_0_103]) ).
cnf(c_0_108,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ssItem(esk53_0) ),
inference(rw,[status(thm)],[c_0_104,c_0_13]) ).
cnf(c_0_109,negated_conjecture,
( ssItem(esk53_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_110,negated_conjecture,
( ssItem(esk53_0)
| ssItem(esk58_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_111,negated_conjecture,
( ssItem(esk53_0)
| ssItem(esk59_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_112,negated_conjecture,
( ssItem(esk53_0)
| ssList(esk60_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_113,negated_conjecture,
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ssList(esk54_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_114,negated_conjecture,
( ~ ssList(cons(esk56_0,nil))
| cons(esk55_0,app(cons(esk56_0,nil),esk57_0)) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_94]),c_0_51]),c_0_48])]) ).
cnf(c_0_115,negated_conjecture,
( ~ ssList(app(nil,esk57_0))
| app(nil,esk57_0) = esk57_0 ),
inference(rw,[status(thm)],[c_0_96,c_0_105]) ).
cnf(c_0_116,negated_conjecture,
( ~ ssList(cons(esk53_0,nil))
| app(cons(esk52_0,cons(esk53_0,nil)),esk54_0) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_25]),c_0_107])]) ).
cnf(c_0_117,negated_conjecture,
ssItem(esk53_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110]),c_0_111]),c_0_112]) ).
cnf(c_0_118,negated_conjecture,
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ssList(esk54_0) ),
inference(rw,[status(thm)],[c_0_113,c_0_13]) ).
cnf(c_0_119,negated_conjecture,
( ssList(esk54_0)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_120,negated_conjecture,
( ssList(esk54_0)
| ssItem(esk58_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_121,negated_conjecture,
( ssList(esk54_0)
| ssItem(esk59_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_122,negated_conjecture,
( ssList(esk54_0)
| ssList(esk60_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_123,plain,
! [X135,X136] :
( hd(cons(X136,X135)) = X136
| ~ ssItem(X136)
| ~ ssList(X135) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])])]) ).
cnf(c_0_124,negated_conjecture,
cons(esk55_0,app(cons(esk56_0,nil),esk57_0)) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_46]),c_0_47]),c_0_26])]) ).
cnf(c_0_125,negated_conjecture,
app(nil,esk57_0) = esk57_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_82]),c_0_51]),c_0_47])]) ).
cnf(c_0_126,negated_conjecture,
app(cons(esk52_0,cons(esk53_0,nil)),esk54_0) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_46]),c_0_47]),c_0_117])]) ).
cnf(c_0_127,negated_conjecture,
ssList(esk54_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_120]),c_0_121]),c_0_122]) ).
cnf(c_0_128,plain,
( ~ ssItem(X2)
| ~ ssList(X1)
| hd(cons(X2,X1)) = X2 ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_129,negated_conjecture,
cons(esk55_0,cons(esk56_0,esk57_0)) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_67]),c_0_125]),c_0_47]),c_0_51]),c_0_26])]) ).
cnf(c_0_130,negated_conjecture,
( ~ ssList(cons(esk53_0,nil))
| cons(esk52_0,app(cons(esk53_0,nil),esk54_0)) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_126]),c_0_127]),c_0_107])]) ).
cnf(c_0_131,negated_conjecture,
( ~ ssList(cons(esk56_0,esk57_0))
| hd(esk49_0) = esk55_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_48])]) ).
cnf(c_0_132,negated_conjecture,
cons(esk52_0,app(cons(esk53_0,nil),esk54_0)) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_46]),c_0_47]),c_0_117])]) ).
cnf(c_0_133,negated_conjecture,
hd(esk49_0) = esk55_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_46]),c_0_51]),c_0_26])]) ).
cnf(c_0_134,negated_conjecture,
( app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_135,negated_conjecture,
app(app(cons(esk56_0,nil),cons(esk55_0,nil)),esk57_0) = esk48_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_106]),c_0_127]),c_0_117]),c_0_107])]) ).
cnf(c_0_136,negated_conjecture,
app(app(cons(esk55_0,nil),cons(esk56_0,nil)),esk57_0) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_106]),c_0_127]),c_0_117]),c_0_107])]) ).
cnf(c_0_137,negated_conjecture,
( ~ ssList(app(cons(esk53_0,nil),esk54_0))
| esk52_0 = esk55_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_132]),c_0_133]),c_0_107])]) ).
cnf(c_0_138,negated_conjecture,
app(app(cons(esk58_0,nil),cons(esk59_0,nil)),esk60_0) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]),c_0_51]),c_0_26]),c_0_48])]) ).
cnf(c_0_139,negated_conjecture,
( ~ ssList(cons(esk53_0,esk54_0))
| esk52_0 = esk55_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_25]),c_0_127]),c_0_117])]) ).
cnf(c_0_140,negated_conjecture,
( ~ ssList(cons(esk59_0,nil))
| app(cons(esk58_0,cons(esk59_0,nil)),esk60_0) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_25]),c_0_63])]) ).
cnf(c_0_141,negated_conjecture,
esk52_0 = esk55_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_46]),c_0_127]),c_0_117])]) ).
cnf(c_0_142,negated_conjecture,
( ~ ssList(cons(esk56_0,esk57_0))
| tl(esk49_0) = cons(esk56_0,esk57_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_129]),c_0_48])]) ).
cnf(c_0_143,negated_conjecture,
app(cons(esk58_0,cons(esk59_0,nil)),esk60_0) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_46]),c_0_47]),c_0_62])]) ).
cnf(c_0_144,negated_conjecture,
cons(esk55_0,app(cons(esk53_0,nil),esk54_0)) = esk49_0,
inference(rw,[status(thm)],[c_0_132,c_0_141]) ).
cnf(c_0_145,negated_conjecture,
tl(esk49_0) = cons(esk56_0,esk57_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_46]),c_0_51]),c_0_26])]) ).
cnf(c_0_146,negated_conjecture,
( ~ ssList(cons(esk59_0,nil))
| cons(esk58_0,app(cons(esk59_0,nil),esk60_0)) = esk49_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_143]),c_0_61]),c_0_63])]) ).
cnf(c_0_147,negated_conjecture,
( ~ ssList(app(cons(esk53_0,nil),esk54_0))
| app(cons(esk53_0,nil),esk54_0) = cons(esk56_0,esk57_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_144]),c_0_145]),c_0_48])]) ).
cnf(c_0_148,negated_conjecture,
cons(esk58_0,app(cons(esk59_0,nil),esk60_0)) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_46]),c_0_47]),c_0_62])]) ).
cnf(c_0_149,negated_conjecture,
( ~ ssList(cons(esk53_0,nil))
| app(cons(esk53_0,nil),esk54_0) = cons(esk56_0,esk57_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_82]),c_0_127])]) ).
cnf(c_0_150,negated_conjecture,
cons(esk58_0,cons(esk59_0,esk60_0)) = esk49_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_25]),c_0_61]),c_0_62])]) ).
cnf(c_0_151,negated_conjecture,
app(cons(esk53_0,nil),esk54_0) = cons(esk56_0,esk57_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_46]),c_0_47]),c_0_117])]) ).
cnf(c_0_152,negated_conjecture,
( ~ ssList(cons(esk59_0,esk60_0))
| cons(esk56_0,esk57_0) = cons(esk59_0,esk60_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_150]),c_0_145]),c_0_63])]) ).
cnf(c_0_153,negated_conjecture,
cons(esk53_0,app(nil,esk54_0)) = cons(esk56_0,esk57_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_151]),c_0_47]),c_0_127]),c_0_117])]) ).
cnf(c_0_154,negated_conjecture,
cons(esk56_0,esk57_0) = cons(esk59_0,esk60_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_46]),c_0_61]),c_0_62])]) ).
cnf(c_0_155,negated_conjecture,
cons(esk53_0,app(nil,esk54_0)) = cons(esk59_0,esk60_0),
inference(rw,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_156,negated_conjecture,
( ~ ssList(app(cons(esk59_0,nil),esk60_0))
| esk55_0 = esk58_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_148]),c_0_133]),c_0_63])]) ).
cnf(c_0_157,negated_conjecture,
hd(cons(esk59_0,esk60_0)) = esk56_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_154]),c_0_51]),c_0_26])]) ).
cnf(c_0_158,negated_conjecture,
( ~ ssList(app(nil,esk54_0))
| tl(cons(esk59_0,esk60_0)) = app(nil,esk54_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_155]),c_0_117])]) ).
cnf(c_0_159,negated_conjecture,
( ~ ssList(cons(esk59_0,esk60_0))
| esk55_0 = esk58_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_25]),c_0_61]),c_0_62])]) ).
cnf(c_0_160,negated_conjecture,
esk56_0 = esk59_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_157]),c_0_61]),c_0_62])]) ).
cnf(c_0_161,negated_conjecture,
tl(cons(esk59_0,esk60_0)) = esk54_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_97]),c_0_127])]) ).
cnf(c_0_162,negated_conjecture,
esk55_0 = esk58_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_46]),c_0_61]),c_0_62])]) ).
cnf(c_0_163,negated_conjecture,
cons(esk59_0,esk57_0) = cons(esk59_0,esk60_0),
inference(rw,[status(thm)],[c_0_154,c_0_160]) ).
cnf(c_0_164,negated_conjecture,
esk54_0 = esk60_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_161]),c_0_61]),c_0_62])]) ).
fof(c_0_165,plain,
( ~ epred1_0
<=> ! [X4,X5,X6] :
( app(app(cons(X5,nil),cons(X4,nil)),X6) != esk48_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk49_0
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4) ) ),
introduced(definition) ).
cnf(c_0_166,negated_conjecture,
app(app(cons(esk56_0,nil),cons(esk58_0,nil)),esk57_0) = esk48_0,
inference(spm,[status(thm)],[c_0_135,c_0_162]) ).
cnf(c_0_167,negated_conjecture,
esk57_0 = esk60_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_163]),c_0_51]),c_0_62])]),c_0_161]),c_0_164]) ).
fof(c_0_168,plain,
( ~ epred2_0
<=> ! [X1,X2,X3] :
( app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ) ),
introduced(definition) ).
cnf(c_0_169,negated_conjecture,
( app(app(cons(X5,nil),cons(X4,nil)),X6) != esk48_0
| app(app(cons(X4,nil),cons(X5,nil)),X6) != esk49_0
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssItem(X4)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk51_0
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_170,negated_conjecture,
( ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3)
| app(app(cons(X2,nil),cons(X1,nil)),X3) != esk48_0
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0
| epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_165]) ).
cnf(c_0_171,negated_conjecture,
app(app(cons(esk59_0,nil),cons(esk58_0,nil)),esk60_0) = esk48_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_160]),c_0_167]) ).
cnf(c_0_172,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_13]),c_0_165]),c_0_168]) ).
cnf(c_0_173,negated_conjecture,
epred1_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_138]),c_0_171]),c_0_61]),c_0_63]),c_0_62])]) ).
cnf(c_0_174,negated_conjecture,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_173])]) ).
cnf(c_0_175,negated_conjecture,
( ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X3)
| app(app(cons(X1,nil),cons(X2,nil)),X3) != esk49_0 ),
inference(sr,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_168]),c_0_174]) ).
cnf(c_0_176,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_175,c_0_138]),c_0_61]),c_0_63]),c_0_62])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC413+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.44 % Computer : n015.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 08:25:51 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 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
% 5.61/1.32 % Version: 3.5.1
% 5.61/1.32 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.61/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.61/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.61/1.32 % Starting new_bool_3 with 300s (1) cores
% 5.61/1.32 % Starting new_bool_1 with 300s (1) cores
% 5.61/1.32 % Starting sh5l with 300s (1) cores
% 5.61/1.32 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1030521 completed with status 0
% 5.61/1.32 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 5.61/1.32 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.61/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.61/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.61/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.61/1.32 % No SInE strategy applied
% 5.61/1.32 % Search class: FGHSF-FSLM21-MFFFFFNN
% 5.61/1.32 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 5.61/1.32 % Starting SubtermCWHack with 136s (1) cores
% 5.61/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.61/1.32 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 5.61/1.32 % Starting G-E--_110_C45_F1_PI_SE_CS_SP_PS_S4S with 136s (1) cores
% 5.61/1.32 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_TT_S0Y with 136s (1) cores
% 5.61/1.32 % G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with pid 1030529 completed with status 0
% 5.61/1.32 % Result found by G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d
% 5.61/1.32 % Preprocessing class: FSLSSMSSSSSNFFN.
% 5.61/1.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.61/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 5.61/1.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 5.61/1.32 % No SInE strategy applied
% 5.61/1.32 % Search class: FGHSF-FSLM21-MFFFFFNN
% 5.61/1.32 % Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 5.61/1.32 % Starting SubtermCWHack with 136s (1) cores
% 5.61/1.32 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 5.61/1.32 % Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 136s (1) cores
% 5.61/1.32 % Preprocessing time : 0.006 s
% 5.61/1.32
% 5.61/1.32 % Proof found!
% 5.61/1.32 % SZS status Theorem
% 5.61/1.32 % SZS output start CNFRefutation
% See solution above
% 5.61/1.33 % Parsed axioms : 96
% 5.61/1.33 % Removed by relevancy pruning/SinE : 0
% 5.61/1.33 % Initial clauses : 246
% 5.61/1.33 % Removed in clause preprocessing : 2
% 5.61/1.33 % Initial clauses in saturation : 244
% 5.61/1.33 % Processed clauses : 2915
% 5.61/1.33 % ...of these trivial : 84
% 5.61/1.33 % ...subsumed : 1011
% 5.61/1.33 % ...remaining for further processing : 1820
% 5.61/1.33 % Other redundant clauses eliminated : 204
% 5.61/1.33 % Clauses deleted for lack of memory : 0
% 5.61/1.33 % Backward-subsumed : 290
% 5.61/1.33 % Backward-rewritten : 740
% 5.61/1.33 % Generated clauses : 16252
% 5.61/1.33 % ...of the previous two non-redundant : 14786
% 5.61/1.33 % ...aggressively subsumed : 0
% 5.61/1.33 % Contextual simplify-reflections : 235
% 5.61/1.33 % Paramodulations : 15975
% 5.61/1.33 % Factorizations : 0
% 5.61/1.33 % NegExts : 0
% 5.61/1.33 % Equation resolutions : 274
% 5.61/1.33 % Disequality decompositions : 0
% 5.61/1.33 % Total rewrite steps : 20822
% 5.61/1.33 % ...of those cached : 20527
% 5.61/1.33 % Propositional unsat checks : 0
% 5.61/1.33 % Propositional check models : 0
% 5.61/1.33 % Propositional check unsatisfiable : 0
% 5.61/1.33 % Propositional clauses : 0
% 5.61/1.33 % Propositional clauses after purity: 0
% 5.61/1.33 % Propositional unsat core size : 0
% 5.61/1.33 % Propositional preprocessing time : 0.000
% 5.61/1.33 % Propositional encoding time : 0.000
% 5.61/1.33 % Propositional solver time : 0.000
% 5.61/1.33 % Success case prop preproc time : 0.000
% 5.61/1.33 % Success case prop encoding time : 0.000
% 5.61/1.33 % Success case prop solver time : 0.000
% 5.61/1.33 % Current number of processed clauses : 783
% 5.61/1.33 % Positive orientable unit clauses : 217
% 5.61/1.33 % Positive unorientable unit clauses: 0
% 5.61/1.33 % Negative unit clauses : 38
% 5.61/1.33 % Non-unit-clauses : 528
% 5.61/1.33 % Current number of unprocessed clauses: 10958
% 5.61/1.33 % ...number of literals in the above : 64128
% 5.61/1.33 % Current number of archived formulas : 0
% 5.61/1.33 % Current number of archived clauses : 1030
% 5.61/1.33 % Clause-clause subsumption calls (NU) : 83152
% 5.61/1.33 % Rec. Clause-clause subsumption calls : 32914
% 5.61/1.33 % Non-unit clause-clause subsumptions : 1052
% 5.61/1.33 % Unit Clause-clause subsumption calls : 7801
% 5.61/1.33 % Rewrite failures with RHS unbound : 0
% 5.61/1.33 % BW rewrite match attempts : 249
% 5.61/1.33 % BW rewrite match successes : 182
% 5.61/1.33 % Condensation attempts : 0
% 5.61/1.33 % Condensation successes : 0
% 5.61/1.33 % Termbank termtop insertions : 365224
% 5.61/1.33 % Search garbage collected termcells : 4600
% 5.61/1.33
% 5.61/1.33 % -------------------------------------------------
% 5.61/1.33 % User time : 0.748 s
% 5.61/1.33 % System time : 0.023 s
% 5.61/1.33 % Total time : 0.771 s
% 5.61/1.33 % Maximum resident set size: 4280 pages
% 5.61/1.33
% 5.61/1.33 % -------------------------------------------------
% 5.61/1.33 % User time : 3.711 s
% 5.61/1.33 % System time : 0.137 s
% 5.61/1.33 % Total time : 3.848 s
% 5.61/1.33 % Maximum resident set size: 4864 pages
% 5.61/1.33 % E exiting
%------------------------------------------------------------------------------