TSTP Solution File: SET730+4 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SET730+4 : TPTP v8.2.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : 300s
% DateTime : Tue May 21 02:55:28 EDT 2024
% Result : Theorem 28.19s 4.03s
% Output : CNFRefutation 28.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 4
% Syntax : Number of formulae : 121 ( 16 unt; 0 def)
% Number of atoms : 559 ( 29 equ)
% Maximal formula atoms : 55 ( 4 avg)
% Number of connectives : 735 ( 297 ~; 388 |; 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 : 341 ( 14 sgn 52 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maps,axiom,
! [X6,X1,X2] :
( maps(X6,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5) ) )
& ! [X3,X7,X8] :
( ( member(X3,X1)
& member(X7,X2)
& member(X8,X2) )
=> ( ( apply(X6,X3,X7)
& apply(X6,X3,X8) )
=> X7 = X8 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',maps) ).
fof(thII21,conjecture,
! [X6,X10,X1,X2,X11] :
( ( maps(X6,X1,X2)
& subset(X11,X2)
& image2(X6,X1) = X11
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X11) )
=> ( apply(X10,X3,X5)
<=> apply(X6,X3,X5) ) ) )
=> maps(X10,X1,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thII21) ).
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(image2,axiom,
! [X6,X1,X5] :
( member(X5,image2(X6,X1))
<=> ? [X3] :
( member(X3,X1)
& apply(X6,X3,X5) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+1.ax',image2) ).
fof(c_0_4,plain,
! [X24,X25,X26,X27,X29,X30,X31,X32,X33,X34,X36] :
( ( member(esk6_4(X24,X25,X26,X27),X26)
| ~ member(X27,X25)
| ~ maps(X24,X25,X26) )
& ( apply(X24,X27,esk6_4(X24,X25,X26,X27))
| ~ member(X27,X25)
| ~ maps(X24,X25,X26) )
& ( ~ member(X29,X25)
| ~ member(X30,X26)
| ~ member(X31,X26)
| ~ apply(X24,X29,X30)
| ~ apply(X24,X29,X31)
| X30 = X31
| ~ maps(X24,X25,X26) )
& ( member(esk8_3(X32,X33,X34),X33)
| member(esk7_3(X32,X33,X34),X33)
| maps(X32,X33,X34) )
& ( member(esk9_3(X32,X33,X34),X34)
| member(esk7_3(X32,X33,X34),X33)
| maps(X32,X33,X34) )
& ( member(esk10_3(X32,X33,X34),X34)
| member(esk7_3(X32,X33,X34),X33)
| maps(X32,X33,X34) )
& ( apply(X32,esk8_3(X32,X33,X34),esk9_3(X32,X33,X34))
| member(esk7_3(X32,X33,X34),X33)
| maps(X32,X33,X34) )
& ( apply(X32,esk8_3(X32,X33,X34),esk10_3(X32,X33,X34))
| member(esk7_3(X32,X33,X34),X33)
| maps(X32,X33,X34) )
& ( esk9_3(X32,X33,X34) != esk10_3(X32,X33,X34)
| member(esk7_3(X32,X33,X34),X33)
| maps(X32,X33,X34) )
& ( member(esk8_3(X32,X33,X34),X33)
| ~ member(X36,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| maps(X32,X33,X34) )
& ( member(esk9_3(X32,X33,X34),X34)
| ~ member(X36,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| maps(X32,X33,X34) )
& ( member(esk10_3(X32,X33,X34),X34)
| ~ member(X36,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| maps(X32,X33,X34) )
& ( apply(X32,esk8_3(X32,X33,X34),esk9_3(X32,X33,X34))
| ~ member(X36,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| maps(X32,X33,X34) )
& ( apply(X32,esk8_3(X32,X33,X34),esk10_3(X32,X33,X34))
| ~ member(X36,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| maps(X32,X33,X34) )
& ( esk9_3(X32,X33,X34) != esk10_3(X32,X33,X34)
| ~ member(X36,X34)
| ~ apply(X32,esk7_3(X32,X33,X34),X36)
| maps(X32,X33,X34) ) ),
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,
( X3 = X5
| ~ member(X1,X2)
| ~ member(X3,X4)
| ~ member(X5,X4)
| ~ apply(X6,X1,X3)
| ~ apply(X6,X1,X5)
| ~ maps(X6,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_6,plain,
( apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_7,negated_conjecture,
~ ! [X6,X10,X1,X2,X11] :
( ( maps(X6,X1,X2)
& subset(X11,X2)
& image2(X6,X1) = X11
& ! [X3,X5] :
( ( member(X3,X1)
& member(X5,X11) )
=> ( apply(X10,X3,X5)
<=> apply(X6,X3,X5) ) ) )
=> maps(X10,X1,X11) ),
inference(assume_negation,[status(cth)],[thII21]) ).
cnf(c_0_8,plain,
( X1 = esk9_3(X2,X3,X4)
| maps(X2,X3,X4)
| member(esk7_3(X2,X3,X4),X3)
| ~ apply(X2,esk8_3(X2,X3,X4),X1)
| ~ maps(X2,X5,X6)
| ~ member(esk9_3(X2,X3,X4),X6)
| ~ member(esk8_3(X2,X3,X4),X5)
| ~ member(X1,X6) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
( apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3))
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_10,plain,
( member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_11,plain,
! [X48,X49,X50,X51,X52] :
( ( ~ subset(X48,X49)
| ~ member(X50,X48)
| member(X50,X49) )
& ( member(esk12_2(X51,X52),X51)
| subset(X51,X52) )
& ( ~ member(esk12_2(X51,X52),X52)
| subset(X51,X52) ) ),
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_12,negated_conjecture,
! [X22,X23] :
( maps(esk1_0,esk3_0,esk4_0)
& subset(esk5_0,esk4_0)
& image2(esk1_0,esk3_0) = esk5_0
& ( ~ apply(esk2_0,X22,X23)
| apply(esk1_0,X22,X23)
| ~ member(X22,esk3_0)
| ~ member(X23,esk5_0) )
& ( ~ apply(esk1_0,X22,X23)
| apply(esk2_0,X22,X23)
| ~ member(X22,esk3_0)
| ~ member(X23,esk5_0) )
& ~ maps(esk2_0,esk3_0,esk5_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_13,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| ~ maps(X1,X4,X5)
| ~ member(esk9_3(X1,X2,X3),X5)
| ~ member(esk8_3(X1,X2,X3),X4)
| ~ member(esk10_3(X1,X2,X3),X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_14,plain,
( member(esk8_3(X1,X2,X3),X2)
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_15,plain,
( member(X3,X2)
| ~ subset(X1,X2)
| ~ member(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,negated_conjecture,
subset(esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_17,plain,
! [X40,X41,X42,X44,X45,X46,X47] :
( ( member(esk11_3(X40,X41,X42),X41)
| ~ member(X42,image2(X40,X41)) )
& ( apply(X40,esk11_3(X40,X41,X42),X42)
| ~ member(X42,image2(X40,X41)) )
& ( ~ member(X47,X45)
| ~ apply(X44,X47,X46)
| member(X46,image2(X44,X45)) ) ),
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_18,plain,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| ~ maps(X1,X2,X4)
| ~ member(esk9_3(X1,X2,X3),X4)
| ~ member(esk10_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( member(X1,esk4_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( member(X4,image2(X3,X2))
| ~ member(X1,X2)
| ~ apply(X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
( apply(X1,X2,esk6_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,negated_conjecture,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| ~ maps(X1,X2,esk4_0)
| ~ member(esk9_3(X1,X2,X3),esk4_0)
| ~ member(esk10_3(X1,X2,X3),esk5_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_23,plain,
( maps(X1,X2,X3)
| member(esk10_3(X1,X2,X3),image2(X1,X4))
| member(esk7_3(X1,X2,X3),X2)
| ~ member(esk8_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_9]) ).
cnf(c_0_24,negated_conjecture,
image2(esk1_0,esk3_0) = esk5_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,plain,
( maps(X1,X2,X3)
| member(esk9_3(X1,X2,X3),image2(X1,X4))
| member(esk7_3(X1,X2,X3),X2)
| ~ member(esk8_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_6]) ).
cnf(c_0_26,plain,
( apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
| maps(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_27,plain,
( member(esk6_4(X1,X2,X3,X4),image2(X1,X5))
| ~ maps(X1,X2,X3)
| ~ member(X4,X5)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( maps(X1,X2,X3)
| member(esk7_3(X1,X2,X3),X2)
| ~ maps(X1,X2,esk4_0)
| ~ member(esk10_3(X1,X2,X3),esk5_0)
| ~ member(esk9_3(X1,X2,X3),esk5_0) ),
inference(spm,[status(thm)],[c_0_22,c_0_19]) ).
cnf(c_0_29,plain,
( member(esk10_3(X1,X2,X3),X3)
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_30,plain,
( member(esk9_3(X1,X2,X3),X3)
| member(esk7_3(X1,X2,X3),X2)
| maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_31,plain,
( maps(X1,X2,X3)
| esk9_3(X1,X2,X3) != esk10_3(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_32,negated_conjecture,
( maps(esk1_0,X1,X2)
| member(esk10_3(esk1_0,X1,X2),esk5_0)
| member(esk7_3(esk1_0,X1,X2),X1)
| ~ member(esk8_3(esk1_0,X1,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( maps(esk1_0,X1,X2)
| member(esk9_3(esk1_0,X1,X2),esk5_0)
| member(esk7_3(esk1_0,X1,X2),X1)
| ~ member(esk8_3(esk1_0,X1,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_34,plain,
( apply(X1,esk8_3(X1,X2,X3),esk9_3(X1,X2,X3))
| maps(X1,X2,X3)
| ~ maps(X1,X4,X5)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ member(esk7_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_26,c_0_21]) ).
cnf(c_0_35,negated_conjecture,
( member(esk6_4(esk1_0,X1,X2,X3),esk5_0)
| ~ maps(esk1_0,X1,X2)
| ~ member(X3,esk3_0)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_36,negated_conjecture,
( maps(X1,X2,esk5_0)
| member(esk7_3(X1,X2,esk5_0),X2)
| ~ maps(X1,X2,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_37,negated_conjecture,
maps(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,plain,
( apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3))
| maps(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_39,plain,
( maps(X1,X2,X3)
| esk10_3(X1,X2,X3) != esk9_3(X1,X2,X3)
| ~ maps(X1,X4,X5)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ member(esk7_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_40,negated_conjecture,
( maps(esk1_0,X1,X2)
| member(esk7_3(esk1_0,X1,X2),X1)
| ~ maps(esk1_0,X1,esk4_0)
| ~ member(esk8_3(esk1_0,X1,X2),esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_32]),c_0_33]) ).
cnf(c_0_41,negated_conjecture,
( apply(esk1_0,esk8_3(esk1_0,X1,esk5_0),esk9_3(esk1_0,X1,esk5_0))
| maps(esk1_0,X1,esk5_0)
| ~ maps(esk1_0,X2,X3)
| ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ member(esk7_3(esk1_0,X1,esk5_0),X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| member(esk7_3(esk1_0,esk3_0,esk5_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( apply(X1,esk8_3(X1,X2,X3),esk10_3(X1,X2,X3))
| maps(X1,X2,X3)
| ~ maps(X1,X4,X5)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ member(esk7_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_21]) ).
cnf(c_0_44,plain,
( maps(X1,X2,image2(X1,X3))
| esk10_3(X1,X2,image2(X1,X3)) != esk9_3(X1,X2,image2(X1,X3))
| ~ maps(X1,X4,X5)
| ~ member(esk7_3(X1,X2,image2(X1,X3)),X4)
| ~ member(esk7_3(X1,X2,image2(X1,X3)),X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_27]) ).
cnf(c_0_45,negated_conjecture,
( maps(esk1_0,esk3_0,X1)
| member(esk7_3(esk1_0,esk3_0,X1),esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_14]),c_0_37])]) ).
cnf(c_0_46,plain,
( member(esk8_3(X1,X2,X3),X2)
| maps(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_47,negated_conjecture,
( apply(esk1_0,X1,X2)
| ~ apply(esk2_0,X1,X2)
| ~ member(X1,esk3_0)
| ~ member(X2,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_48,negated_conjecture,
( apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk9_3(esk1_0,esk3_0,esk5_0))
| maps(esk1_0,esk3_0,esk5_0)
| ~ maps(esk1_0,esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( apply(esk1_0,esk8_3(esk1_0,X1,esk5_0),esk10_3(esk1_0,X1,esk5_0))
| maps(esk1_0,X1,esk5_0)
| ~ maps(esk1_0,X2,X3)
| ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ member(esk7_3(esk1_0,X1,esk5_0),X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_35]) ).
cnf(c_0_50,negated_conjecture,
( maps(esk1_0,esk3_0,image2(esk1_0,X1))
| esk10_3(esk1_0,esk3_0,image2(esk1_0,X1)) != esk9_3(esk1_0,esk3_0,image2(esk1_0,X1))
| ~ maps(esk1_0,esk3_0,X2)
| ~ member(esk7_3(esk1_0,esk3_0,image2(esk1_0,X1)),X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,plain,
( maps(X1,X2,X3)
| member(esk8_3(X1,X2,X3),X2)
| ~ maps(X1,X4,X5)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ member(esk7_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_46,c_0_21]) ).
cnf(c_0_52,plain,
( member(esk10_3(X1,X2,X3),X3)
| maps(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_53,negated_conjecture,
( apply(esk1_0,esk8_3(esk2_0,X1,X2),esk9_3(esk2_0,X1,X2))
| maps(esk2_0,X1,X2)
| member(esk7_3(esk2_0,X1,X2),X1)
| ~ member(esk9_3(esk2_0,X1,X2),esk5_0)
| ~ member(esk8_3(esk2_0,X1,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_6]) ).
cnf(c_0_54,negated_conjecture,
( apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk9_3(esk1_0,esk3_0,esk5_0))
| maps(esk1_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_37]) ).
cnf(c_0_55,negated_conjecture,
( apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk10_3(esk1_0,esk3_0,esk5_0))
| maps(esk1_0,esk3_0,esk5_0)
| ~ maps(esk1_0,esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_42]),c_0_42]) ).
cnf(c_0_56,negated_conjecture,
( maps(esk1_0,esk3_0,image2(esk1_0,X1))
| esk10_3(esk1_0,esk3_0,image2(esk1_0,X1)) != esk9_3(esk1_0,esk3_0,image2(esk1_0,X1))
| ~ member(esk7_3(esk1_0,esk3_0,image2(esk1_0,X1)),X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_37]) ).
cnf(c_0_57,negated_conjecture,
( maps(esk1_0,X1,esk5_0)
| member(esk8_3(esk1_0,X1,esk5_0),X1)
| ~ maps(esk1_0,X2,X3)
| ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ member(esk7_3(esk1_0,X1,esk5_0),X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_35]) ).
cnf(c_0_58,plain,
( maps(X1,X2,X3)
| member(esk10_3(X1,X2,X3),X3)
| ~ maps(X1,X4,X5)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ member(esk7_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_52,c_0_21]) ).
cnf(c_0_59,plain,
( member(esk9_3(X1,X2,X3),X3)
| maps(X1,X2,X3)
| ~ member(X4,X3)
| ~ apply(X1,esk7_3(X1,X2,X3),X4) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_60,negated_conjecture,
( X1 = esk9_3(esk2_0,X2,X3)
| maps(esk2_0,X2,X3)
| member(esk7_3(esk2_0,X2,X3),X2)
| ~ apply(esk1_0,esk8_3(esk2_0,X2,X3),X1)
| ~ maps(esk1_0,X4,X5)
| ~ member(esk9_3(esk2_0,X2,X3),esk5_0)
| ~ member(esk8_3(esk2_0,X2,X3),esk3_0)
| ~ member(esk9_3(esk2_0,X2,X3),X5)
| ~ member(esk8_3(esk2_0,X2,X3),X4)
| ~ member(X1,X5) ),
inference(spm,[status(thm)],[c_0_5,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
( apply(esk1_0,esk8_3(esk2_0,X1,X2),esk10_3(esk2_0,X1,X2))
| maps(esk2_0,X1,X2)
| member(esk7_3(esk2_0,X1,X2),X1)
| ~ member(esk10_3(esk2_0,X1,X2),esk5_0)
| ~ member(esk8_3(esk2_0,X1,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_9]) ).
cnf(c_0_62,negated_conjecture,
( X1 = esk9_3(esk1_0,esk3_0,esk5_0)
| maps(esk1_0,esk3_0,esk5_0)
| ~ apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),X1)
| ~ maps(esk1_0,X2,X3)
| ~ member(esk9_3(esk1_0,esk3_0,esk5_0),X3)
| ~ member(esk8_3(esk1_0,esk3_0,esk5_0),X2)
| ~ member(X1,X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( apply(esk1_0,esk8_3(esk1_0,esk3_0,esk5_0),esk10_3(esk1_0,esk3_0,esk5_0))
| maps(esk1_0,esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_37]) ).
cnf(c_0_64,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| esk10_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_56,c_0_24]),c_0_10]) ).
cnf(c_0_65,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| member(esk8_3(esk1_0,esk3_0,esk5_0),esk3_0)
| ~ maps(esk1_0,esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_42]),c_0_42]) ).
cnf(c_0_66,negated_conjecture,
( maps(esk1_0,X1,esk5_0)
| member(esk10_3(esk1_0,X1,esk5_0),esk5_0)
| ~ maps(esk1_0,X2,X3)
| ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ member(esk7_3(esk1_0,X1,esk5_0),X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_35]) ).
cnf(c_0_67,plain,
( maps(X1,X2,X3)
| member(esk9_3(X1,X2,X3),X3)
| ~ maps(X1,X4,X5)
| ~ member(esk6_4(X1,X4,X5,esk7_3(X1,X2,X3)),X3)
| ~ member(esk7_3(X1,X2,X3),X4) ),
inference(spm,[status(thm)],[c_0_59,c_0_21]) ).
cnf(c_0_68,negated_conjecture,
( maps(esk2_0,X1,X2)
| member(esk7_3(esk2_0,X1,X2),X1)
| ~ maps(esk1_0,X3,X4)
| ~ member(esk9_3(esk2_0,X1,X2),esk5_0)
| ~ member(esk8_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk10_3(esk2_0,X1,X2),esk5_0)
| ~ member(esk9_3(esk2_0,X1,X2),X4)
| ~ member(esk8_3(esk2_0,X1,X2),X3)
| ~ member(esk10_3(esk2_0,X1,X2),X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_10]) ).
cnf(c_0_69,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk9_3(esk1_0,esk3_0,esk5_0),X2)
| ~ member(esk8_3(esk1_0,esk3_0,esk5_0),X1)
| ~ member(esk10_3(esk1_0,esk3_0,esk5_0),X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_70,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| member(esk8_3(esk1_0,esk3_0,esk5_0),esk3_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_37]) ).
cnf(c_0_71,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| member(esk10_3(esk1_0,esk3_0,esk5_0),esk5_0)
| ~ maps(esk1_0,esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_42]),c_0_42]) ).
cnf(c_0_72,negated_conjecture,
( maps(esk1_0,X1,esk5_0)
| member(esk9_3(esk1_0,X1,esk5_0),esk5_0)
| ~ maps(esk1_0,X2,X3)
| ~ member(esk7_3(esk1_0,X1,esk5_0),esk3_0)
| ~ member(esk7_3(esk1_0,X1,esk5_0),X2) ),
inference(spm,[status(thm)],[c_0_67,c_0_35]) ).
cnf(c_0_73,negated_conjecture,
( apply(esk2_0,X1,X2)
| ~ apply(esk1_0,X1,X2)
| ~ member(X1,esk3_0)
| ~ member(X2,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_74,negated_conjecture,
( maps(esk2_0,X1,esk5_0)
| member(esk7_3(esk2_0,X1,esk5_0),X1)
| ~ maps(esk1_0,X2,X3)
| ~ member(esk8_3(esk2_0,X1,esk5_0),esk3_0)
| ~ member(esk9_3(esk2_0,X1,esk5_0),X3)
| ~ member(esk8_3(esk2_0,X1,esk5_0),X2)
| ~ member(esk10_3(esk2_0,X1,esk5_0),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_29]),c_0_30]) ).
cnf(c_0_75,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| ~ maps(esk1_0,esk3_0,X1)
| ~ member(esk9_3(esk1_0,esk3_0,esk5_0),X1)
| ~ member(esk10_3(esk1_0,esk3_0,esk5_0),X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| member(esk10_3(esk1_0,esk3_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_37]) ).
cnf(c_0_77,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| member(esk9_3(esk1_0,esk3_0,esk5_0),esk5_0)
| ~ maps(esk1_0,esk3_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_42]),c_0_42]) ).
cnf(c_0_78,negated_conjecture,
( apply(esk2_0,esk8_3(esk2_0,X1,X2),esk9_3(esk2_0,X1,X2))
| maps(esk2_0,X1,X2)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(X3,esk5_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( maps(esk2_0,X1,esk5_0)
| member(esk7_3(esk2_0,X1,esk5_0),X1)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk8_3(esk2_0,X1,esk5_0),esk3_0)
| ~ member(esk9_3(esk2_0,X1,esk5_0),X2)
| ~ member(esk10_3(esk2_0,X1,esk5_0),X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_14]) ).
cnf(c_0_80,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| ~ member(esk9_3(esk1_0,esk3_0,esk5_0),esk4_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_19]),c_0_37])]),c_0_76]) ).
cnf(c_0_81,negated_conjecture,
( maps(esk1_0,esk3_0,esk5_0)
| member(esk9_3(esk1_0,esk3_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_77,c_0_37]) ).
cnf(c_0_82,negated_conjecture,
( maps(esk2_0,X1,X2)
| member(esk9_3(esk2_0,X1,X2),X2)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(X3,esk5_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_73]) ).
cnf(c_0_83,negated_conjecture,
( maps(esk2_0,X1,X2)
| member(esk8_3(esk2_0,X1,X2),X1)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(X3,esk5_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_73]) ).
cnf(c_0_84,negated_conjecture,
( apply(esk2_0,esk8_3(esk2_0,X1,X2),esk10_3(esk2_0,X1,X2))
| maps(esk2_0,X1,X2)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(X3,esk5_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_73]) ).
cnf(c_0_85,negated_conjecture,
( maps(esk2_0,X1,X2)
| member(esk10_3(esk2_0,X1,X2),X2)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(X3,esk5_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_73]) ).
cnf(c_0_86,plain,
( X1 = esk6_4(X2,X3,X4,X5)
| ~ apply(X2,X5,X1)
| ~ maps(X2,X6,X7)
| ~ maps(X2,X3,X4)
| ~ member(esk6_4(X2,X3,X4,X5),X7)
| ~ member(X1,X7)
| ~ member(X5,X6)
| ~ member(X5,X3) ),
inference(spm,[status(thm)],[c_0_5,c_0_21]) ).
cnf(c_0_87,negated_conjecture,
( apply(esk2_0,esk8_3(esk2_0,X1,X2),esk9_3(esk2_0,X1,X2))
| maps(esk2_0,X1,X2)
| ~ maps(esk1_0,X3,X4)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_21]),c_0_35]) ).
cnf(c_0_88,plain,
( member(esk6_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_89,negated_conjecture,
( maps(esk2_0,X1,esk5_0)
| member(esk7_3(esk2_0,X1,esk5_0),X1)
| ~ maps(esk1_0,X1,esk5_0)
| ~ member(esk8_3(esk2_0,X1,esk5_0),esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_29]),c_0_30]) ).
cnf(c_0_90,negated_conjecture,
maps(esk1_0,esk3_0,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_19]),c_0_81]) ).
cnf(c_0_91,negated_conjecture,
~ maps(esk2_0,esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_92,negated_conjecture,
( maps(esk2_0,X1,X2)
| member(esk9_3(esk2_0,X1,X2),X2)
| ~ maps(esk1_0,X3,X4)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_21]),c_0_35]) ).
cnf(c_0_93,negated_conjecture,
( maps(esk2_0,X1,X2)
| member(esk8_3(esk2_0,X1,X2),X1)
| ~ maps(esk1_0,X3,X4)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_21]),c_0_35]) ).
cnf(c_0_94,negated_conjecture,
( apply(esk2_0,esk8_3(esk2_0,X1,X2),esk10_3(esk2_0,X1,X2))
| maps(esk2_0,X1,X2)
| ~ maps(esk1_0,X3,X4)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_21]),c_0_35]) ).
cnf(c_0_95,negated_conjecture,
( maps(esk2_0,X1,X2)
| member(esk10_3(esk2_0,X1,X2),X2)
| ~ maps(esk1_0,X3,X4)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_21]),c_0_35]) ).
cnf(c_0_96,plain,
( X1 = esk6_4(X2,X3,X4,X5)
| ~ apply(X2,X5,X1)
| ~ maps(X2,X6,image2(X2,X7))
| ~ maps(X2,X3,X4)
| ~ member(X5,X6)
| ~ member(X5,X3)
| ~ member(X5,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_27]),c_0_20]) ).
cnf(c_0_97,negated_conjecture,
( apply(esk2_0,esk8_3(esk2_0,X1,X2),esk9_3(esk2_0,X1,X2))
| maps(esk2_0,X1,X2)
| ~ maps(esk1_0,X3,X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_98,negated_conjecture,
member(esk7_3(esk2_0,esk3_0,esk5_0),esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_14]),c_0_90])]),c_0_91]) ).
cnf(c_0_99,negated_conjecture,
( maps(esk2_0,X1,X2)
| member(esk9_3(esk2_0,X1,X2),X2)
| ~ maps(esk1_0,X3,X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_92,c_0_88]) ).
cnf(c_0_100,negated_conjecture,
( maps(esk2_0,X1,X2)
| member(esk8_3(esk2_0,X1,X2),X1)
| ~ maps(esk1_0,X3,X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_88]) ).
cnf(c_0_101,negated_conjecture,
( apply(esk2_0,esk8_3(esk2_0,X1,X2),esk10_3(esk2_0,X1,X2))
| maps(esk2_0,X1,X2)
| ~ maps(esk1_0,X3,X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_88]) ).
cnf(c_0_102,negated_conjecture,
( maps(esk2_0,X1,X2)
| member(esk10_3(esk2_0,X1,X2),X2)
| ~ maps(esk1_0,X3,X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_88]) ).
cnf(c_0_103,negated_conjecture,
( maps(esk2_0,X1,X2)
| esk10_3(esk2_0,X1,X2) != esk9_3(esk2_0,X1,X2)
| ~ apply(esk1_0,esk7_3(esk2_0,X1,X2),X3)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(X3,esk5_0)
| ~ member(X3,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_73]) ).
cnf(c_0_104,negated_conjecture,
( X1 = esk6_4(esk1_0,X2,X3,X4)
| ~ apply(esk1_0,X4,X1)
| ~ maps(esk1_0,X5,esk5_0)
| ~ maps(esk1_0,X2,X3)
| ~ member(X4,esk3_0)
| ~ member(X4,X5)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_24]) ).
cnf(c_0_105,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_97,c_0_98]),c_0_90]),c_0_98])]),c_0_91]) ).
cnf(c_0_106,negated_conjecture,
member(esk9_3(esk2_0,esk3_0,esk5_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_99,c_0_98]),c_0_90]),c_0_98])]),c_0_91]) ).
cnf(c_0_107,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_100,c_0_98]),c_0_90]),c_0_98])]),c_0_91]) ).
cnf(c_0_108,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_101,c_0_98]),c_0_90]),c_0_98])]),c_0_91]) ).
cnf(c_0_109,negated_conjecture,
member(esk10_3(esk2_0,esk3_0,esk5_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_102,c_0_98]),c_0_90]),c_0_98])]),c_0_91]) ).
cnf(c_0_110,negated_conjecture,
( maps(esk2_0,X1,X2)
| esk10_3(esk2_0,X1,X2) != esk9_3(esk2_0,X1,X2)
| ~ maps(esk1_0,X3,X4)
| ~ member(esk6_4(esk1_0,X3,X4,esk7_3(esk2_0,X1,X2)),X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_21]),c_0_35]) ).
cnf(c_0_111,negated_conjecture,
( X1 = esk6_4(esk1_0,X2,X3,X4)
| ~ apply(esk1_0,X4,X1)
| ~ maps(esk1_0,X2,X3)
| ~ member(X4,esk3_0)
| ~ member(X4,X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_90]) ).
cnf(c_0_112,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_47,c_0_105]),c_0_106]),c_0_107])]) ).
cnf(c_0_113,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_47,c_0_108]),c_0_109]),c_0_107])]) ).
cnf(c_0_114,negated_conjecture,
( maps(esk2_0,X1,X2)
| esk10_3(esk2_0,X1,X2) != esk9_3(esk2_0,X1,X2)
| ~ maps(esk1_0,X3,X2)
| ~ member(esk7_3(esk2_0,X1,X2),esk3_0)
| ~ member(esk7_3(esk2_0,X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_110,c_0_88]) ).
cnf(c_0_115,negated_conjecture,
( esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,esk3_0,esk5_0)) = esk9_3(esk2_0,esk3_0,esk5_0)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_107])]) ).
cnf(c_0_116,negated_conjecture,
( esk6_4(esk1_0,X1,X2,esk8_3(esk2_0,esk3_0,esk5_0)) = esk10_3(esk2_0,esk3_0,esk5_0)
| ~ maps(esk1_0,X1,X2)
| ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_113]),c_0_107])]) ).
cnf(c_0_117,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_98]),c_0_90]),c_0_98])]),c_0_91]) ).
cnf(c_0_118,negated_conjecture,
( ~ maps(esk1_0,X1,X2)
| ~ member(esk8_3(esk2_0,esk3_0,esk5_0),X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]) ).
cnf(c_0_119,negated_conjecture,
~ maps(esk1_0,esk3_0,X1),
inference(spm,[status(thm)],[c_0_118,c_0_107]) ).
cnf(c_0_120,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_37,c_0_119]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET730+4 : TPTP v8.2.0. Bugfixed v2.2.1.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 20 12:55:23 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 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
% 28.19/4.03 # Version: 3.1.0
% 28.19/4.03 # Preprocessing class: FSLSSMSSSSSNFFN.
% 28.19/4.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.19/4.03 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 28.19/4.03 # Starting new_bool_3 with 300s (1) cores
% 28.19/4.03 # Starting new_bool_1 with 300s (1) cores
% 28.19/4.03 # Starting sh5l with 300s (1) cores
% 28.19/4.03 # new_bool_3 with pid 5374 completed with status 0
% 28.19/4.03 # Result found by new_bool_3
% 28.19/4.03 # Preprocessing class: FSLSSMSSSSSNFFN.
% 28.19/4.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.19/4.03 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 28.19/4.03 # Starting new_bool_3 with 300s (1) cores
% 28.19/4.03 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 28.19/4.03 # Search class: FGUSF-FFMS32-SFFFFFNN
% 28.19/4.03 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 28.19/4.03 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 28.19/4.03 # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 5377 completed with status 0
% 28.19/4.03 # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 28.19/4.03 # Preprocessing class: FSLSSMSSSSSNFFN.
% 28.19/4.03 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 28.19/4.03 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 28.19/4.03 # Starting new_bool_3 with 300s (1) cores
% 28.19/4.03 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 28.19/4.03 # Search class: FGUSF-FFMS32-SFFFFFNN
% 28.19/4.03 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 28.19/4.03 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 28.19/4.03 # Preprocessing time : 0.002 s
% 28.19/4.03 # Presaturation interreduction done
% 28.19/4.03
% 28.19/4.03 # Proof found!
% 28.19/4.03 # SZS status Theorem
% 28.19/4.03 # SZS output start CNFRefutation
% See solution above
% 28.19/4.03 # Parsed axioms : 29
% 28.19/4.03 # Removed by relevancy pruning/SinE : 25
% 28.19/4.03 # Initial clauses : 27
% 28.19/4.03 # Removed in clause preprocessing : 0
% 28.19/4.03 # Initial clauses in saturation : 27
% 28.19/4.03 # Processed clauses : 11344
% 28.19/4.03 # ...of these trivial : 12
% 28.19/4.03 # ...subsumed : 6681
% 28.19/4.03 # ...remaining for further processing : 4651
% 28.19/4.03 # Other redundant clauses eliminated : 0
% 28.19/4.03 # Clauses deleted for lack of memory : 0
% 28.19/4.03 # Backward-subsumed : 1017
% 28.19/4.03 # Backward-rewritten : 58
% 28.19/4.03 # Generated clauses : 40726
% 28.19/4.03 # ...of the previous two non-redundant : 37156
% 28.19/4.03 # ...aggressively subsumed : 0
% 28.19/4.03 # Contextual simplify-reflections : 441
% 28.19/4.03 # Paramodulations : 40722
% 28.19/4.03 # Factorizations : 0
% 28.19/4.03 # NegExts : 0
% 28.19/4.03 # Equation resolutions : 0
% 28.19/4.03 # Disequality decompositions : 0
% 28.19/4.03 # Total rewrite steps : 2563
% 28.19/4.03 # ...of those cached : 2544
% 28.19/4.03 # Propositional unsat checks : 0
% 28.19/4.03 # Propositional check models : 0
% 28.19/4.03 # Propositional check unsatisfiable : 0
% 28.19/4.03 # Propositional clauses : 0
% 28.19/4.03 # Propositional clauses after purity: 0
% 28.19/4.03 # Propositional unsat core size : 0
% 28.19/4.03 # Propositional preprocessing time : 0.000
% 28.19/4.03 # Propositional encoding time : 0.000
% 28.19/4.03 # Propositional solver time : 0.000
% 28.19/4.03 # Success case prop preproc time : 0.000
% 28.19/4.03 # Success case prop encoding time : 0.000
% 28.19/4.03 # Success case prop solver time : 0.000
% 28.19/4.03 # Current number of processed clauses : 3545
% 28.19/4.03 # Positive orientable unit clauses : 24
% 28.19/4.03 # Positive unorientable unit clauses: 0
% 28.19/4.03 # Negative unit clauses : 3
% 28.19/4.03 # Non-unit-clauses : 3518
% 28.19/4.03 # Current number of unprocessed clauses: 24575
% 28.19/4.03 # ...number of literals in the above : 223299
% 28.19/4.03 # Current number of archived formulas : 0
% 28.19/4.03 # Current number of archived clauses : 1106
% 28.19/4.03 # Clause-clause subsumption calls (NU) : 2597494
% 28.19/4.03 # Rec. Clause-clause subsumption calls : 62909
% 28.19/4.03 # Non-unit clause-clause subsumptions : 7454
% 28.19/4.03 # Unit Clause-clause subsumption calls : 5306
% 28.19/4.03 # Rewrite failures with RHS unbound : 0
% 28.19/4.03 # BW rewrite match attempts : 69
% 28.19/4.03 # BW rewrite match successes : 2
% 28.19/4.03 # Condensation attempts : 0
% 28.19/4.03 # Condensation successes : 0
% 28.19/4.03 # Termbank termtop insertions : 1987671
% 28.19/4.03 # Search garbage collected termcells : 906
% 28.19/4.03
% 28.19/4.03 # -------------------------------------------------
% 28.19/4.03 # User time : 3.409 s
% 28.19/4.03 # System time : 0.033 s
% 28.19/4.03 # Total time : 3.442 s
% 28.19/4.03 # Maximum resident set size: 1872 pages
% 28.19/4.03
% 28.19/4.03 # -------------------------------------------------
% 28.19/4.03 # User time : 3.413 s
% 28.19/4.03 # System time : 0.034 s
% 28.19/4.03 # Total time : 3.446 s
% 28.19/4.03 # Maximum resident set size: 1768 pages
% 28.19/4.03 % E---3.1 exiting
% 28.19/4.03 % E exiting
%------------------------------------------------------------------------------