%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET730+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 02:15:06 PM UTC 2026
% Result : Theorem 29.38s 5.29s
% Output : CNFRefutation 29.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 4
% Syntax : Number of formulae : 128 ( 16 unt; 0 def)
% Number of atoms : 575 ( 33 equ)
% Maximal formula atoms : 55 ( 4 avg)
% Number of connectives : 747 ( 300 ~; 397 |; 37 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-4 aty)
% Number of variables : 358 ( 23 sgn 52 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3,X7,X8] :
( ( member(X8,X2)
& member(X7,X2)
& member(X3,X1) )
=> ( ( apply(X6,X3,X8)
& apply(X6,X3,X7) )
=> X7 = X8 ) )
& ! [X3] :
( member(X3,X1)
=> ? [X5] :
( apply(X6,X3,X5)
& member(X5,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).
fof(thII21,conjecture,
! [X6,X10,X1,X2,X11] :
( ( ! [X3,X5] :
( ( member(X5,X11)
& member(X3,X1) )
=> ( apply(X10,X3,X5)
<=> apply(X6,X3,X5) ) )
& image2(X6,X1) = X11
& subset(X11,X2)
& maps(X6,X1,X2) )
=> maps(X10,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII21) ).
fof(image2,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( apply(X6,X3,X5)
& member(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',image2) ).
fof(subset,axiom,
! [X1,X2] :
( subset(X1,X2)
<=> ! [X3] :
( member(X3,X1)
=> member(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
fof(c_0_4,plain,
! [X24,X25,X26,X27,X29,X30,X31,X32,X33,X34,X36] :
( ( maps(X32,X33,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| ~ member(X36,X34)
| esk9_3(X32,X33,X34) != esk10_3(X32,X33,X34) )
& ( maps(X32,X33,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| ~ member(X36,X34)
| apply(X32,esk8_3(X32,X33,X34),esk10_3(X32,X33,X34)) )
& ( maps(X32,X33,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| ~ member(X36,X34)
| apply(X32,esk8_3(X32,X33,X34),esk9_3(X32,X33,X34)) )
& ( maps(X32,X33,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| ~ member(X36,X34)
| member(esk10_3(X32,X33,X34),X34) )
& ( maps(X32,X33,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| ~ member(X36,X34)
| member(esk9_3(X32,X33,X34),X34) )
& ( maps(X32,X33,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| ~ member(X36,X34)
| member(esk8_3(X32,X33,X34),X33) )
& ( maps(X32,X33,X34)
| member(esk7_3(X32,X33,X34),X33)
| esk9_3(X32,X33,X34) != esk10_3(X32,X33,X34) )
& ( maps(X32,X33,X34)
| member(esk7_3(X32,X33,X34),X33)
| apply(X32,esk8_3(X32,X33,X34),esk10_3(X32,X33,X34)) )
& ( maps(X32,X33,X34)
| member(esk7_3(X32,X33,X34),X33)
| apply(X32,esk8_3(X32,X33,X34),esk9_3(X32,X33,X34)) )
& ( maps(X32,X33,X34)
| member(esk7_3(X32,X33,X34),X33)
| member(esk10_3(X32,X33,X34),X34) )
& ( maps(X32,X33,X34)
| member(esk7_3(X32,X33,X34),X33)
| member(esk9_3(X32,X33,X34),X34) )
& ( maps(X32,X33,X34)
| member(esk7_3(X32,X33,X34),X33)
| member(esk8_3(X32,X33,X34),X33) )
& ( ~ maps(X24,X25,X26)
| X30 = X31
| ~ apply(X24,X29,X31)
| ~ apply(X24,X29,X30)
| ~ member(X31,X26)
| ~ member(X30,X26)
| ~ member(X29,X25) )
& ( ~ maps(X24,X25,X26)
| ~ member(X27,X25)
| apply(X24,X27,esk6_4(X24,X25,X26,X27)) )
& ( ~ maps(X24,X25,X26)
| ~ member(X27,X25)
| member(esk6_4(X24,X25,X26,X27),X26) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[maps])])])])])])]) ).
cnf(c_0_5,plain,
( ~ maps(X6,X2,X4)
| ~ apply(X6,X1,X5)
| ~ apply(X6,X1,X3)
| ~ member(X5,X4)
| ~ member(X3,X4)
| ~ member(X1,X2)
| X3 = X5 ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
~ ! [X6,X10,X1,X2,X11] :
( ( ! [X3,X5] :
( ( member(X5,X11)
& member(X3,X1) )
=> ( apply(X10,X3,X5)
<=> apply(X6,X3,X5) ) )
& image2(X6,X1) = X11
& subset(X11,X2)
& maps(X6,X1,X2) )
=> maps(X10,X1,X11) ),
inference(assume_negation,[status(cth)],[thII21]) ).
fof(c_0_8,plain,
! [X40,X41,X42,X44,X45,X46,X47] :
( ( member(X46,image2(X44,X45))
| ~ apply(X44,X47,X46)
| ~ member(X47,X45) )
& ( ~ member(X42,image2(X40,X41))
| apply(X40,esk11_3(X40,X41,X42),X42) )
& ( ~ member(X42,image2(X40,X41))
| member(esk11_3(X40,X41,X42),X41) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[image2])])])])])])]) ).
cnf(c_0_9,plain,
( ~ member(X1,X6)
| ~ member(esk8_3(X2,X3,X4),X5)
| ~ member(esk9_3(X2,X3,X4),X6)
| ~ maps(X2,X5,X6)
| ~ apply(X2,esk8_3(X2,X3,X4),X1)
| member(esk7_3(X2,X3,X4),X3)
| maps(X2,X3,X4)
| X1 = esk9_3(X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_11,plain,
( esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3)
| maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_12,plain,
! [X48,X49,X50,X51,X52] :
( ( subset(X51,X52)
| ~ member(esk12_2(X51,X52),X52) )
& ( subset(X51,X52)
| member(esk12_2(X51,X52),X51) )
& ( member(X50,X49)
| ~ member(X50,X48)
| ~ subset(X48,X49) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])])]) ).
fof(c_0_13,negated_conjecture,
! [X22,X23] :
( ~ maps(esk2_0,esk3_0,esk5_0)
& ( ~ member(X23,esk5_0)
| ~ member(X22,esk3_0)
| apply(esk2_0,X22,X23)
| ~ apply(esk1_0,X22,X23) )
& ( ~ member(X23,esk5_0)
| ~ member(X22,esk3_0)
| apply(esk1_0,X22,X23)
| ~ apply(esk2_0,X22,X23) )
& image2(esk1_0,esk3_0) = esk5_0
& subset(esk5_0,esk4_0)
& maps(esk1_0,esk3_0,esk4_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_7])])])])])]) ).
cnf(c_0_14,plain,
( ~ apply(X3,X1,X4)
| ~ member(X1,X2)
| member(X4,image2(X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,plain,
( ~ member(esk10_3(X1,X2,X3),X5)
| ~ member(esk8_3(X1,X2,X3),X4)
| ~ member(esk9_3(X1,X2,X3),X5)
| ~ maps(X1,X4,X5)
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_16,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| member(esk8_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_17,plain,
( ~ member(X3,X1)
| ~ subset(X1,X2)
| member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
subset(esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
( ~ member(esk8_3(X1,X2,X3),X4)
| member(esk7_3(X1,X2,X3),X2)
| member(esk10_3(X1,X2,X3),image2(X1,X4))
| maps(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_10]) ).
cnf(c_0_20,plain,
( ~ maps(X1,X3,X4)
| ~ member(X2,X3)
| apply(X1,X2,esk6_4(X1,X3,X4,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_21,plain,
( ~ member(esk10_3(X1,X2,X3),X4)
| ~ member(esk9_3(X1,X2,X3),X4)
| ~ maps(X1,X2,X4)
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
( ~ member(X1,esk5_0)
| member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( member(esk7_3(X1,X2,X3),X2)
| member(esk10_3(X1,X2,X3),image2(X1,X2))
| maps(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_19,c_0_16]) ).
cnf(c_0_24,negated_conjecture,
image2(esk1_0,esk3_0) = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,plain,
( ~ member(esk8_3(X1,X2,X3),X4)
| member(esk7_3(X1,X2,X3),X2)
| member(esk9_3(X1,X2,X3),image2(X1,X4))
| maps(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_14,c_0_6]) ).
cnf(c_0_26,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,plain,
( ~ member(X4,X2)
| ~ member(X4,X5)
| ~ maps(X1,X2,X3)
| member(esk6_4(X1,X2,X3,X4),image2(X1,X5)) ),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
cnf(c_0_28,negated_conjecture,
( ~ member(esk10_3(X1,X2,X3),esk5_0)
| ~ member(esk9_3(X1,X2,X3),esk4_0)
| ~ maps(X1,X2,esk4_0)
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( member(esk10_3(esk1_0,esk3_0,X1),esk5_0)
| member(esk7_3(esk1_0,esk3_0,X1),esk3_0)
| maps(esk1_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,negated_conjecture,
maps(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_31,plain,
( member(esk7_3(X1,X2,X3),X2)
| member(esk9_3(X1,X2,X3),image2(X1,X2))
| maps(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_25,c_0_16]) ).
cnf(c_0_32,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_33,plain,
( ~ member(esk7_3(X1,X2,X3),X4)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ maps(X1,X4,X5)
| maps(X1,X2,X3)
| apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_34,negated_conjecture,
( ~ member(X3,X1)
| ~ member(X3,esk3_0)
| ~ maps(esk1_0,X1,X2)
| member(esk6_4(esk1_0,X1,X2,X3),esk5_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_35,negated_conjecture,
( ~ member(esk9_3(esk1_0,esk3_0,X1),esk4_0)
| member(esk7_3(esk1_0,esk3_0,X1),esk3_0)
| maps(esk1_0,esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_36,negated_conjecture,
( member(esk9_3(esk1_0,esk3_0,X1),esk5_0)
| member(esk7_3(esk1_0,esk3_0,X1),esk3_0)
| maps(esk1_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_24]) ).
cnf(c_0_37,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_38,plain,
( ~ member(esk7_3(X1,X2,X3),X4)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ maps(X1,X4,X5)
| esk10_3(X1,X2,X3) != esk9_3(X1,X2,X3)
| maps(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_20]) ).
cnf(c_0_39,negated_conjecture,
( ~ member(esk7_3(esk1_0,X1,esk5_0),X2)
| ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ maps(esk1_0,X2,X3)
| maps(esk1_0,X1,esk5_0)
| apply(esk1_0,esk8_3(esk1_0,X1,esk5_0),esk9_3(esk1_0,X1,esk5_0)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( member(esk7_3(esk1_0,esk3_0,X1),esk3_0)
| maps(esk1_0,esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_22]),c_0_36]) ).
cnf(c_0_41,plain,
( ~ member(esk7_3(X1,X2,X3),X4)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ maps(X1,X4,X5)
| maps(X1,X2,X3)
| apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3)) ),
inference(spm,[status(thm)],[c_0_37,c_0_20]) ).
cnf(c_0_42,plain,
( ~ member(esk7_3(X1,X2,image2(X1,X3)),X3)
| ~ member(esk7_3(X1,X2,image2(X1,X3)),X4)
| ~ maps(X1,X4,X5)
| esk10_3(X1,X2,image2(X1,X3)) != esk9_3(X1,X2,image2(X1,X3))
| maps(X1,X2,image2(X1,X3)) ),
inference(spm,[status(thm)],[c_0_38,c_0_27]) ).
cnf(c_0_43,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| member(esk8_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_44,negated_conjecture,
( ~ maps(esk1_0,esk3_0,X1)
| maps(esk1_0,esk3_0,esk5_0)
| apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk9_3(esk1_0,esk3_0,esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_40]) ).
cnf(c_0_45,negated_conjecture,
( ~ member(esk7_3(esk1_0,X1,esk5_0),X2)
| ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ maps(esk1_0,X2,X3)
| maps(esk1_0,X1,esk5_0)
| apply(esk1_0,esk8_3(esk1_0,X1,esk5_0),esk10_3(esk1_0,X1,esk5_0)) ),
inference(spm,[status(thm)],[c_0_41,c_0_34]) ).
cnf(c_0_46,plain,
( ~ member(esk7_3(X1,X2,image2(X1,X3)),X3)
| ~ maps(X1,X2,X4)
| esk10_3(X1,X2,image2(X1,X3)) != esk9_3(X1,X2,image2(X1,X3))
| maps(X1,X2,image2(X1,X3)) ),
inference(spm,[status(thm)],[c_0_42,c_0_11]) ).
cnf(c_0_47,plain,
( ~ member(esk7_3(X1,X2,X3),X4)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ maps(X1,X4,X5)
| member(esk8_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_43,c_0_20]) ).
cnf(c_0_48,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| member(esk10_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_49,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk9_3(esk1_0,esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_44,c_0_30]) ).
cnf(c_0_50,negated_conjecture,
( ~ maps(esk1_0,esk3_0,X1)
| maps(esk1_0,esk3_0,esk5_0)
| apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk10_3(esk1_0,esk3_0,esk5_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_40]),c_0_40]) ).
cnf(c_0_51,plain,
( ~ maps(X1,X2,X3)
| esk10_3(X1,X2,image2(X1,X2)) != esk9_3(X1,X2,image2(X1,X2))
| maps(X1,X2,image2(X1,X2)) ),
inference(spm,[status(thm)],[c_0_46,c_0_11]) ).
cnf(c_0_52,negated_conjecture,
( ~ member(esk7_3(esk1_0,X1,esk5_0),X2)
| ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ maps(esk1_0,X2,X3)
| member(esk8_3(esk1_0,X1,esk5_0),X1)
| maps(esk1_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_34]) ).
cnf(c_0_53,plain,
( ~ member(esk7_3(X1,X2,X3),X4)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ maps(X1,X4,X5)
| member(esk10_3(X1,X2,X3),X3)
| maps(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_20]) ).
cnf(c_0_54,plain,
( ~ apply(X1,esk7_3(X1,X2,X3),X4)
| ~ member(X4,X3)
| maps(X1,X2,X3)
| member(esk9_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_55,negated_conjecture,
( ~ member(X1,X3)
| ~ member(esk8_3(esk1_0,esk3_0,esk5_0),X2)
| ~ member(esk9_3(esk1_0,esk3_0,esk5_0),X3)
| ~ maps(esk1_0,X2,X3)
| ~ apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),X1)
| maps(esk1_0,esk3_0,esk5_0)
| X1 = esk9_3(esk1_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_5,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk10_3(esk1_0,esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_50,c_0_30]) ).
cnf(c_0_57,negated_conjecture,
( esk10_3(esk1_0,esk3_0,esk5_0) != esk9_3(esk1_0,esk3_0,esk5_0)
| maps(esk1_0,esk3_0,esk5_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_30]),c_0_24]),c_0_24]),c_0_24]) ).
cnf(c_0_58,negated_conjecture,
( ~ maps(esk1_0,esk3_0,X1)
| member(esk8_3(esk1_0,esk3_0,esk5_0),esk3_0)
| maps(esk1_0,esk3_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_40]),c_0_40]) ).
cnf(c_0_59,negated_conjecture,
( ~ member(esk7_3(esk1_0,X1,esk5_0),X2)
| ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ maps(esk1_0,X2,X3)
| member(esk10_3(esk1_0,X1,esk5_0),esk5_0)
| maps(esk1_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_34]) ).
cnf(c_0_60,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| member(esk10_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_61,plain,
( ~ member(esk7_3(X1,X2,X3),X4)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ maps(X1,X4,X5)
| member(esk9_3(X1,X2,X3),X3)
| maps(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_54,c_0_20]) ).
cnf(c_0_62,negated_conjecture,
( ~ member(esk10_3(esk1_0,esk3_0,esk5_0),X2)
| ~ member(esk8_3(esk1_0,esk3_0,esk5_0),X1)
| ~ member(esk9_3(esk1_0,esk3_0,esk5_0),X2)
| ~ maps(esk1_0,X1,X2)
| maps(esk1_0,esk3_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( member(esk8_3(esk1_0,esk3_0,esk5_0),esk3_0)
| maps(esk1_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_30]) ).
cnf(c_0_64,negated_conjecture,
( ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ maps(esk1_0,X1,X2)
| member(esk10_3(esk1_0,X1,esk5_0),esk5_0)
| maps(esk1_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_65,negated_conjecture,
( ~ member(esk7_3(esk1_0,X1,esk5_0),X2)
| ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ maps(esk1_0,X2,X3)
| member(esk9_3(esk1_0,X1,esk5_0),esk5_0)
| maps(esk1_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_34]) ).
cnf(c_0_66,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| member(esk9_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_67,plain,
( ~ member(X5,X3)
| ~ member(X5,X6)
| ~ member(X1,X7)
| ~ member(esk6_4(X2,X3,X4,X5),X7)
| ~ maps(X2,X3,X4)
| ~ maps(X2,X6,X7)
| ~ apply(X2,X5,X1)
| X1 = esk6_4(X2,X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_5,c_0_20]) ).
cnf(c_0_68,negated_conjecture,
( ~ member(esk10_3(esk1_0,esk3_0,esk5_0),X1)
| ~ member(esk9_3(esk1_0,esk3_0,esk5_0),X1)
| ~ maps(esk1_0,esk3_0,X1)
| maps(esk1_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( member(esk10_3(esk1_0,esk3_0,esk5_0),esk5_0)
| maps(esk1_0,esk3_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_30]),c_0_60]) ).
cnf(c_0_70,negated_conjecture,
( ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ maps(esk1_0,X1,X2)
| member(esk9_3(esk1_0,X1,esk5_0),esk5_0)
| maps(esk1_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,plain,
( ~ member(X5,X7)
| ~ member(X5,X3)
| ~ member(X5,X6)
| ~ maps(X2,X3,X4)
| ~ maps(X2,X6,image2(X2,X7))
| ~ apply(X2,X5,X1)
| X1 = esk6_4(X2,X3,X4,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_27]),c_0_14]) ).
cnf(c_0_72,negated_conjecture,
( ~ member(esk9_3(esk1_0,esk3_0,esk5_0),esk4_0)
| maps(esk1_0,esk3_0,esk5_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_22]),c_0_30])]),c_0_69]) ).
cnf(c_0_73,negated_conjecture,
( member(esk9_3(esk1_0,esk3_0,esk5_0),esk5_0)
| maps(esk1_0,esk3_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_30]),c_0_66]) ).
cnf(c_0_74,negated_conjecture,
( ~ member(X4,X2)
| ~ member(X4,X5)
| ~ member(X4,esk3_0)
| ~ maps(esk1_0,X2,X3)
| ~ maps(esk1_0,X5,esk5_0)
| ~ apply(esk1_0,X4,X1)
| X1 = esk6_4(esk1_0,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_71,c_0_24]) ).
cnf(c_0_75,negated_conjecture,
maps(esk1_0,esk3_0,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_22]),c_0_73]) ).
cnf(c_0_76,negated_conjecture,
( ~ member(X2,esk5_0)
| ~ member(X1,esk3_0)
| ~ apply(esk2_0,X1,X2)
| apply(esk1_0,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_77,negated_conjecture,
( ~ member(X4,X2)
| ~ member(X4,esk3_0)
| ~ maps(esk1_0,X2,X3)
| ~ apply(esk1_0,X4,X1)
| X1 = esk6_4(esk1_0,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_78,negated_conjecture,
( ~ member(esk8_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk9_3(esk2_0,X1,X2),esk5_0)
| member(esk7_3(esk2_0,X1,X2),X1)
| maps(esk2_0,X1,X2)
| apply(esk1_0,esk8_3(esk2_0,X1,X2),esk9_3(esk2_0,X1,X2)) ),
inference(spm,[status(thm)],[c_0_76,c_0_6]) ).
cnf(c_0_79,negated_conjecture,
( ~ member(esk8_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk10_3(esk2_0,X1,X2),esk5_0)
| member(esk7_3(esk2_0,X1,X2),X1)
| maps(esk2_0,X1,X2)
| apply(esk1_0,esk8_3(esk2_0,X1,X2),esk10_3(esk2_0,X1,X2)) ),
inference(spm,[status(thm)],[c_0_76,c_0_10]) ).
cnf(c_0_80,negated_conjecture,
( ~ member(esk8_3(esk2_0,X3,X4),X1)
| ~ member(esk9_3(esk2_0,X3,X4),esk5_0)
| ~ member(esk8_3(esk2_0,X3,X4),esk3_0)
| ~ maps(esk1_0,X1,X2)
| member(esk7_3(esk2_0,X3,X4),X3)
| maps(esk2_0,X3,X4)
| esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,X3,X4)) = esk9_3(esk2_0,X3,X4) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( ~ member(esk8_3(esk2_0,X3,X4),X1)
| ~ member(esk10_3(esk2_0,X3,X4),esk5_0)
| ~ member(esk8_3(esk2_0,X3,X4),esk3_0)
| ~ maps(esk1_0,X1,X2)
| member(esk7_3(esk2_0,X3,X4),X3)
| maps(esk2_0,X3,X4)
| esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,X3,X4)) = esk10_3(esk2_0,X3,X4) ),
inference(spm,[status(thm)],[c_0_77,c_0_79]) ).
cnf(c_0_82,negated_conjecture,
( ~ member(esk8_3(esk2_0,esk3_0,X3),X1)
| ~ member(esk9_3(esk2_0,esk3_0,X3),esk5_0)
| ~ maps(esk1_0,X1,X2)
| member(esk7_3(esk2_0,esk3_0,X3),esk3_0)
| maps(esk2_0,esk3_0,X3)
| esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,esk3_0,X3)) = esk9_3(esk2_0,esk3_0,X3) ),
inference(spm,[status(thm)],[c_0_80,c_0_16]) ).
cnf(c_0_83,negated_conjecture,
( ~ member(esk8_3(esk2_0,esk3_0,X3),X1)
| ~ member(esk10_3(esk2_0,esk3_0,X3),esk5_0)
| ~ maps(esk1_0,X1,X2)
| member(esk7_3(esk2_0,esk3_0,X3),esk3_0)
| maps(esk2_0,esk3_0,X3)
| esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,esk3_0,X3)) = esk10_3(esk2_0,esk3_0,X3) ),
inference(spm,[status(thm)],[c_0_81,c_0_16]) ).
cnf(c_0_84,negated_conjecture,
( ~ member(X2,esk5_0)
| ~ member(X1,esk3_0)
| ~ apply(esk1_0,X1,X2)
| apply(esk2_0,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_85,negated_conjecture,
( ~ member(esk8_3(esk2_0,esk3_0,X1),X2)
| ~ member(esk10_3(esk2_0,esk3_0,X1),esk5_0)
| ~ member(esk9_3(esk2_0,esk3_0,X1),esk5_0)
| ~ maps(esk1_0,X2,X3)
| member(esk7_3(esk2_0,esk3_0,X1),esk3_0)
| maps(esk2_0,esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_11]) ).
cnf(c_0_86,negated_conjecture,
~ maps(esk2_0,esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_87,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,esk5_0)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| member(esk9_3(esk2_0,X1,X2),X2)
| maps(esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,esk5_0)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| member(esk10_3(esk2_0,X1,X2),X2)
| maps(esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_84]) ).
cnf(c_0_89,negated_conjecture,
( ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1)
| ~ member(esk9_3(esk2_0,esk3_0,esk5_0),esk5_0)
| ~ maps(esk1_0,X1,X2)
| member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_60]),c_0_86]) ).
cnf(c_0_90,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ maps(esk1_0,X3,X4)
| member(esk9_3(esk2_0,X1,X2),X2)
| maps(esk2_0,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_20]),c_0_34]) ).
cnf(c_0_91,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ maps(esk1_0,X3,X4)
| member(esk10_3(esk2_0,X1,X2),X2)
| maps(esk2_0,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_20]),c_0_34]) ).
cnf(c_0_92,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,esk5_0)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| maps(esk2_0,X1,X2)
| apply(esk2_0,esk8_3(esk2_0,X1,X2),esk9_3(esk2_0,X1,X2)) ),
inference(spm,[status(thm)],[c_0_26,c_0_84]) ).
cnf(c_0_93,negated_conjecture,
( ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1)
| ~ maps(esk1_0,X1,X2)
| member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_66]),c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,esk5_0),X2)
| ~ member(esk7_3(esk2_0,X1,esk5_0),esk3_0)
| ~ maps(esk1_0,X2,X3)
| member(esk9_3(esk2_0,X1,esk5_0),esk5_0)
| maps(esk2_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_34]) ).
cnf(c_0_95,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,esk5_0)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| member(esk8_3(esk2_0,X1,X2),X1)
| maps(esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_84]) ).
cnf(c_0_96,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,esk5_0)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| maps(esk2_0,X1,X2)
| apply(esk2_0,esk8_3(esk2_0,X1,X2),esk10_3(esk2_0,X1,X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_84]) ).
cnf(c_0_97,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,esk5_0),X2)
| ~ member(esk7_3(esk2_0,X1,esk5_0),esk3_0)
| ~ maps(esk1_0,X2,X3)
| member(esk10_3(esk2_0,X1,esk5_0),esk5_0)
| maps(esk2_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_91,c_0_34]) ).
cnf(c_0_98,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ maps(esk1_0,X3,X4)
| maps(esk2_0,X1,X2)
| apply(esk2_0,esk8_3(esk2_0,X1,X2),esk9_3(esk2_0,X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_20]),c_0_34]) ).
cnf(c_0_99,plain,
( ~ maps(X1,X2,X3)
| ~ member(X4,X2)
| member(esk6_4(X1,X2,X3,X4),X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_100,negated_conjecture,
( ~ maps(esk1_0,esk3_0,X1)
| member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_16]),c_0_86]) ).
cnf(c_0_101,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,esk5_0),esk3_0)
| ~ maps(esk1_0,X1,X2)
| member(esk9_3(esk2_0,X1,esk5_0),esk5_0)
| maps(esk2_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_94,c_0_66]) ).
cnf(c_0_102,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ maps(esk1_0,X3,X4)
| member(esk8_3(esk2_0,X1,X2),X1)
| maps(esk2_0,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_20]),c_0_34]) ).
cnf(c_0_103,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ maps(esk1_0,X3,X4)
| maps(esk2_0,X1,X2)
| apply(esk2_0,esk8_3(esk2_0,X1,X2),esk10_3(esk2_0,X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_20]),c_0_34]) ).
cnf(c_0_104,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,esk5_0),esk3_0)
| ~ maps(esk1_0,X1,X2)
| member(esk10_3(esk2_0,X1,esk5_0),esk5_0)
| maps(esk2_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_60]) ).
cnf(c_0_105,negated_conjecture,
( ~ member(X3,X2)
| ~ member(X3,esk5_0)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| esk10_3(esk2_0,X1,X2) != esk9_3(esk2_0,X1,X2)
| maps(esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_84]) ).
cnf(c_0_106,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ maps(esk1_0,X3,X2)
| maps(esk2_0,X1,X2)
| apply(esk2_0,esk8_3(esk2_0,X1,X2),esk9_3(esk2_0,X1,X2)) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_107,negated_conjecture,
member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0),
inference(spm,[status(thm)],[c_0_100,c_0_30]) ).
cnf(c_0_108,negated_conjecture,
( ~ member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0)
| member(esk9_3(esk2_0,esk3_0,esk5_0),esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_30]),c_0_86]) ).
cnf(c_0_109,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ maps(esk1_0,X3,X2)
| member(esk8_3(esk2_0,X1,X2),X1)
| maps(esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_99]) ).
cnf(c_0_110,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ maps(esk1_0,X3,X2)
| maps(esk2_0,X1,X2)
| apply(esk2_0,esk8_3(esk2_0,X1,X2),esk10_3(esk2_0,X1,X2)) ),
inference(spm,[status(thm)],[c_0_103,c_0_99]) ).
cnf(c_0_111,negated_conjecture,
( ~ member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0)
| member(esk10_3(esk2_0,esk3_0,esk5_0),esk5_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_30]),c_0_86]) ).
cnf(c_0_112,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ maps(esk1_0,X3,X4)
| esk10_3(esk2_0,X1,X2) != esk9_3(esk2_0,X1,X2)
| maps(esk2_0,X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_20]),c_0_34]) ).
cnf(c_0_113,negated_conjecture,
apply(esk2_0,esk8_3(esk2_0,esk3_0,esk5_0),esk9_3(esk2_0,esk3_0,esk5_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_75]),c_0_107])]),c_0_86]) ).
cnf(c_0_114,negated_conjecture,
member(esk9_3(esk2_0,esk3_0,esk5_0),esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_107])]) ).
cnf(c_0_115,negated_conjecture,
member(esk8_3(esk2_0,esk3_0,esk5_0),esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_107]),c_0_75]),c_0_107])]),c_0_86]) ).
cnf(c_0_116,negated_conjecture,
apply(esk2_0,esk8_3(esk2_0,esk3_0,esk5_0),esk10_3(esk2_0,esk3_0,esk5_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_107]),c_0_75]),c_0_107])]),c_0_86]) ).
cnf(c_0_117,negated_conjecture,
member(esk10_3(esk2_0,esk3_0,esk5_0),esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_107])]) ).
cnf(c_0_118,negated_conjecture,
( ~ member(esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ maps(esk1_0,X3,X2)
| esk10_3(esk2_0,X1,X2) != esk9_3(esk2_0,X1,X2)
| maps(esk2_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_112,c_0_99]) ).
cnf(c_0_119,negated_conjecture,
apply(esk1_0,esk8_3(esk2_0,esk3_0,esk5_0),esk9_3(esk2_0,esk3_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_113]),c_0_114]),c_0_115])]) ).
cnf(c_0_120,negated_conjecture,
apply(esk1_0,esk8_3(esk2_0,esk3_0,esk5_0),esk10_3(esk2_0,esk3_0,esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_116]),c_0_117]),c_0_115])]) ).
cnf(c_0_121,negated_conjecture,
( ~ member(esk7_3(esk2_0,esk3_0,X1),X2)
| ~ maps(esk1_0,X2,X1)
| esk10_3(esk2_0,esk3_0,X1) != esk9_3(esk2_0,esk3_0,X1)
| maps(esk2_0,esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_11]) ).
cnf(c_0_122,negated_conjecture,
( ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1)
| ~ maps(esk1_0,X1,X2)
| esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,esk3_0,esk5_0)) = esk9_3(esk2_0,esk3_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_119]),c_0_115])]) ).
cnf(c_0_123,negated_conjecture,
( ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1)
| ~ maps(esk1_0,X1,X2)
| esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,esk3_0,esk5_0)) = esk10_3(esk2_0,esk3_0,esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_120]),c_0_115])]) ).
cnf(c_0_124,negated_conjecture,
esk10_3(esk2_0,esk3_0,esk5_0) != esk9_3(esk2_0,esk3_0,esk5_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_107]),c_0_75])]),c_0_86]) ).
cnf(c_0_125,negated_conjecture,
( ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1)
| ~ maps(esk1_0,X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_126,negated_conjecture,
~ maps(esk1_0,esk3_0,X1),
inference(spm,[status(thm)],[c_0_125,c_0_115]) ).
cnf(c_0_127,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_30,c_0_126]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET730+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.69 % Computer : n008.cluster.edu
% 0.19/0.69 % Model : x86_64 x86_64
% 0.19/0.69 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.69 % Memory : 8046.5625MB
% 0.19/0.69 % OS : Linux 6.8.0-71-generic
% 0.19/0.69 % CPULimit : 300
% 0.19/0.69 % WCLimit : 300
% 0.19/0.69 % DateTime : Mon Sep 21 05:35:09 UTC 2026
% 0.24/0.70 % CPUTime :
% 0.24/0.70 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.75 Running first-order theorem proving
% 0.24/0.75 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 29.38/5.29 % Version: 3.5.1
% 29.38/5.29 % Preprocessing class: FSLSSMSSSSSNFFN.
% 29.38/5.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.38/5.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 29.38/5.29 % Starting new_bool_3 with 300s (1) cores
% 29.38/5.29 % Starting new_bool_1 with 300s (1) cores
% 29.38/5.29 % Starting sh5l with 300s (1) cores
% 29.38/5.29 % new_bool_1 with pid 245486 completed with status 0
% 29.38/5.29 % Result found by new_bool_1
% 29.38/5.29 % Preprocessing class: FSLSSMSSSSSNFFN.
% 29.38/5.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.38/5.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 29.38/5.29 % Starting new_bool_3 with 300s (1) cores
% 29.38/5.29 % Starting new_bool_1 with 300s (1) cores
% 29.38/5.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 29.38/5.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 29.38/5.29 % Search class: FGUSF-FFMS32-SFFFFFNN
% 29.38/5.29 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 29.38/5.29 % Starting SubtermCWHack with 31s (1) cores
% 29.38/5.29 % SubtermCWHack with pid 245489 completed with status 0
% 29.38/5.29 % Result found by SubtermCWHack
% 29.38/5.29 % Preprocessing class: FSLSSMSSSSSNFFN.
% 29.38/5.29 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 29.38/5.29 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 29.38/5.29 % Starting new_bool_3 with 300s (1) cores
% 29.38/5.29 % Starting new_bool_1 with 300s (1) cores
% 29.38/5.29 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 29.38/5.29 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 29.38/5.29 % Search class: FGUSF-FFMS32-SFFFFFNN
% 29.38/5.29 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 29.38/5.29 % Starting SubtermCWHack with 31s (1) cores
% 29.38/5.29 % Preprocessing time : 0.002 s
% 29.38/5.29
% 29.38/5.29 % Proof found!
% 29.38/5.29 % SZS status Theorem
% 29.38/5.29 % SZS output start CNFRefutation
% See solution above
% 29.38/5.29 % Parsed axioms : 29
% 29.38/5.29 % Removed by relevancy pruning/SinE : 25
% 29.38/5.29 % Initial clauses : 27
% 29.38/5.29 % Removed in clause preprocessing : 0
% 29.38/5.29 % Initial clauses in saturation : 27
% 29.38/5.29 % Processed clauses : 6070
% 29.38/5.29 % ...of these trivial : 12
% 29.38/5.29 % ...subsumed : 2467
% 29.38/5.29 % ...remaining for further processing : 3591
% 29.38/5.29 % Other redundant clauses eliminated : 0
% 29.38/5.29 % Clauses deleted for lack of memory : 0
% 29.38/5.29 % Backward-subsumed : 481
% 29.38/5.29 % Backward-rewritten : 199
% 29.38/5.29 % Generated clauses : 30842
% 29.38/5.29 % ...of the previous two non-redundant : 29285
% 29.38/5.29 % ...aggressively subsumed : 0
% 29.38/5.29 % Contextual simplify-reflections : 283
% 29.38/5.29 % Paramodulations : 30836
% 29.38/5.29 % Factorizations : 0
% 29.38/5.29 % NegExts : 0
% 29.38/5.29 % Equation resolutions : 0
% 29.38/5.29 % Disequality decompositions : 0
% 29.38/5.29 % Total rewrite steps : 1141
% 29.38/5.29 % ...of those cached : 1124
% 29.38/5.29 % Propositional unsat checks : 0
% 29.38/5.29 % Propositional check models : 0
% 29.38/5.29 % Propositional check unsatisfiable : 0
% 29.38/5.29 % Propositional clauses : 0
% 29.38/5.29 % Propositional clauses after purity: 0
% 29.38/5.29 % Propositional unsat core size : 0
% 29.38/5.29 % Propositional preprocessing time : 0.000
% 29.38/5.29 % Propositional encoding time : 0.000
% 29.38/5.29 % Propositional solver time : 0.000
% 29.38/5.29 % Success case prop preproc time : 0.000
% 29.38/5.29 % Success case prop encoding time : 0.000
% 29.38/5.29 % Success case prop solver time : 0.000
% 29.38/5.29 % Current number of processed clauses : 2905
% 29.38/5.29 % Positive orientable unit clauses : 27
% 29.38/5.29 % Positive unorientable unit clauses: 0
% 29.38/5.29 % Negative unit clauses : 4
% 29.38/5.29 % Non-unit-clauses : 2874
% 29.38/5.29 % Current number of unprocessed clauses: 22516
% 29.38/5.29 % ...number of literals in the above : 163834
% 29.38/5.29 % Current number of archived formulas : 0
% 29.38/5.29 % Current number of archived clauses : 686
% 29.38/5.29 % Clause-clause subsumption calls (NU) : 1323622
% 29.38/5.29 % Rec. Clause-clause subsumption calls : 68376
% 29.38/5.29 % Non-unit clause-clause subsumptions : 3022
% 29.38/5.29 % Unit Clause-clause subsumption calls : 7216
% 29.38/5.29 % Rewrite failures with RHS unbound : 0
% 29.38/5.29 % BW rewrite match attempts : 113
% 29.38/5.29 % BW rewrite match successes : 7
% 29.38/5.29 % Condensation attempts : 0
% 29.38/5.29 % Condensation successes : 0
% 29.38/5.29 % Termbank termtop insertions : 1546393
% 29.38/5.29 % Search garbage collected termcells : 906
% 29.38/5.29
% 29.38/5.29 % -------------------------------------------------
% 29.38/5.29 % User time : 4.266 s
% 29.38/5.29 % System time : 0.057 s
% 29.38/5.29 % Total time : 4.323 s
% 29.38/5.29 % Maximum resident set size: 3692 pages
% 29.38/5.29
% 29.38/5.29 % -------------------------------------------------
% 29.38/5.29 % User time : 4.270 s
% 29.38/5.29 % System time : 0.065 s
% 29.38/5.29 % Total time : 4.335 s
% 29.38/5.29 % Maximum resident set size: 4608 pages
% 29.38/5.29 % E exiting
%------------------------------------------------------------------------------