TSTP Solution File: SET747+4 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET747+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n001.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:20:25 EDT 2023
% Result : Theorem 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 65 ( 23 unt; 0 def)
% Number of atoms : 321 ( 12 equ)
% Maximal formula atoms : 55 ( 4 avg)
% Number of connectives : 404 ( 148 ~; 181 |; 63 &)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-5 aty)
% Number of functors : 23 ( 23 usr; 8 con; 0-7 aty)
% Number of variables : 221 ( 0 sgn; 95 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII38,conjecture,
! [X6,X10,X1,X2,X11,X15,X16,X17] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& increasing(X6,X1,X15,X2,X16)
& decreasing(X10,X2,X16,X11,X17) )
=> decreasing(compose_function(X10,X6,X1,X2,X11),X1,X15,X11,X17) ),
file('/export/starexec/sandbox2/tmp/tmp.zDrMc6qEyD/E---3.1_15652.p',thII38) ).
fof(increasing_function,axiom,
! [X6,X1,X15,X2,X16] :
( increasing(X6,X1,X15,X2,X16)
<=> ! [X13,X7,X14,X8] :
( ( member(X13,X1)
& member(X7,X2)
& member(X14,X1)
& member(X8,X2)
& apply(X15,X13,X14)
& apply(X6,X13,X7)
& apply(X6,X14,X8) )
=> apply(X16,X7,X8) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zDrMc6qEyD/E---3.1_15652.p',increasing_function) ).
fof(decreasing_function,axiom,
! [X6,X1,X15,X2,X16] :
( decreasing(X6,X1,X15,X2,X16)
<=> ! [X13,X7,X14,X8] :
( ( member(X13,X1)
& member(X7,X2)
& member(X14,X1)
& member(X8,X2)
& apply(X15,X13,X14)
& apply(X6,X13,X7)
& apply(X6,X14,X8) )
=> apply(X16,X8,X7) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zDrMc6qEyD/E---3.1_15652.p',decreasing_function) ).
fof(compose_function,axiom,
! [X10,X6,X1,X2,X11,X3,X12] :
( ( member(X3,X1)
& member(X12,X11) )
=> ( apply(compose_function(X10,X6,X1,X2,X11),X3,X12)
<=> ? [X5] :
( member(X5,X2)
& apply(X6,X3,X5)
& apply(X10,X5,X12) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zDrMc6qEyD/E---3.1_15652.p',compose_function) ).
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/sandbox2/tmp/tmp.zDrMc6qEyD/E---3.1_15652.p',maps) ).
fof(c_0_5,negated_conjecture,
~ ! [X6,X10,X1,X2,X11,X15,X16,X17] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X11)
& increasing(X6,X1,X15,X2,X16)
& decreasing(X10,X2,X16,X11,X17) )
=> decreasing(compose_function(X10,X6,X1,X2,X11),X1,X15,X11,X17) ),
inference(assume_negation,[status(cth)],[thII38]) ).
fof(c_0_6,plain,
! [X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66] :
( ( ~ increasing(X53,X54,X55,X56,X57)
| ~ member(X58,X54)
| ~ member(X59,X56)
| ~ member(X60,X54)
| ~ member(X61,X56)
| ~ apply(X55,X58,X60)
| ~ apply(X53,X58,X59)
| ~ apply(X53,X60,X61)
| apply(X57,X59,X61) )
& ( member(esk14_5(X62,X63,X64,X65,X66),X63)
| increasing(X62,X63,X64,X65,X66) )
& ( member(esk15_5(X62,X63,X64,X65,X66),X65)
| increasing(X62,X63,X64,X65,X66) )
& ( member(esk16_5(X62,X63,X64,X65,X66),X63)
| increasing(X62,X63,X64,X65,X66) )
& ( member(esk17_5(X62,X63,X64,X65,X66),X65)
| increasing(X62,X63,X64,X65,X66) )
& ( apply(X64,esk14_5(X62,X63,X64,X65,X66),esk16_5(X62,X63,X64,X65,X66))
| increasing(X62,X63,X64,X65,X66) )
& ( apply(X62,esk14_5(X62,X63,X64,X65,X66),esk15_5(X62,X63,X64,X65,X66))
| increasing(X62,X63,X64,X65,X66) )
& ( apply(X62,esk16_5(X62,X63,X64,X65,X66),esk17_5(X62,X63,X64,X65,X66))
| increasing(X62,X63,X64,X65,X66) )
& ( ~ apply(X66,esk15_5(X62,X63,X64,X65,X66),esk17_5(X62,X63,X64,X65,X66))
| increasing(X62,X63,X64,X65,X66) ) ),
inference(distribute,[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)],[increasing_function])])])])])]) ).
fof(c_0_7,negated_conjecture,
( maps(esk1_0,esk3_0,esk4_0)
& maps(esk2_0,esk4_0,esk5_0)
& increasing(esk1_0,esk3_0,esk6_0,esk4_0,esk7_0)
& decreasing(esk2_0,esk4_0,esk7_0,esk5_0,esk8_0)
& ~ decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39] :
( ( ~ decreasing(X26,X27,X28,X29,X30)
| ~ member(X31,X27)
| ~ member(X32,X29)
| ~ member(X33,X27)
| ~ member(X34,X29)
| ~ apply(X28,X31,X33)
| ~ apply(X26,X31,X32)
| ~ apply(X26,X33,X34)
| apply(X30,X34,X32) )
& ( member(esk9_5(X35,X36,X37,X38,X39),X36)
| decreasing(X35,X36,X37,X38,X39) )
& ( member(esk10_5(X35,X36,X37,X38,X39),X38)
| decreasing(X35,X36,X37,X38,X39) )
& ( member(esk11_5(X35,X36,X37,X38,X39),X36)
| decreasing(X35,X36,X37,X38,X39) )
& ( member(esk12_5(X35,X36,X37,X38,X39),X38)
| decreasing(X35,X36,X37,X38,X39) )
& ( apply(X37,esk9_5(X35,X36,X37,X38,X39),esk11_5(X35,X36,X37,X38,X39))
| decreasing(X35,X36,X37,X38,X39) )
& ( apply(X35,esk9_5(X35,X36,X37,X38,X39),esk10_5(X35,X36,X37,X38,X39))
| decreasing(X35,X36,X37,X38,X39) )
& ( apply(X35,esk11_5(X35,X36,X37,X38,X39),esk12_5(X35,X36,X37,X38,X39))
| decreasing(X35,X36,X37,X38,X39) )
& ( ~ apply(X39,esk12_5(X35,X36,X37,X38,X39),esk10_5(X35,X36,X37,X38,X39))
| decreasing(X35,X36,X37,X38,X39) ) ),
inference(distribute,[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)],[decreasing_function])])])])])]) ).
cnf(c_0_9,plain,
( apply(X5,X7,X9)
| ~ increasing(X1,X2,X3,X4,X5)
| ~ member(X6,X2)
| ~ member(X7,X4)
| ~ member(X8,X2)
| ~ member(X9,X4)
| ~ apply(X3,X6,X8)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
increasing(esk1_0,esk3_0,esk6_0,esk4_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
~ decreasing(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( apply(X1,esk9_5(X2,X3,X1,X4,X5),esk11_5(X2,X3,X1,X4,X5))
| decreasing(X2,X3,X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( member(esk11_5(X1,X2,X3,X4,X5),X2)
| decreasing(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( member(esk9_5(X1,X2,X3,X4,X5),X2)
| decreasing(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_15,plain,
! [X44,X45,X46,X47,X48,X49,X50,X52] :
( ( member(esk13_7(X44,X45,X46,X47,X48,X49,X50),X47)
| ~ apply(compose_function(X44,X45,X46,X47,X48),X49,X50)
| ~ member(X49,X46)
| ~ member(X50,X48) )
& ( apply(X45,X49,esk13_7(X44,X45,X46,X47,X48,X49,X50))
| ~ apply(compose_function(X44,X45,X46,X47,X48),X49,X50)
| ~ member(X49,X46)
| ~ member(X50,X48) )
& ( apply(X44,esk13_7(X44,X45,X46,X47,X48,X49,X50),X50)
| ~ apply(compose_function(X44,X45,X46,X47,X48),X49,X50)
| ~ member(X49,X46)
| ~ member(X50,X48) )
& ( ~ member(X52,X47)
| ~ apply(X45,X49,X52)
| ~ apply(X44,X52,X50)
| apply(compose_function(X44,X45,X46,X47,X48),X49,X50)
| ~ member(X49,X46)
| ~ member(X50,X48) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[compose_function])])])])]) ).
cnf(c_0_16,plain,
( apply(X1,esk11_5(X1,X2,X3,X4,X5),esk12_5(X1,X2,X3,X4,X5))
| decreasing(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_17,plain,
( member(esk12_5(X1,X2,X3,X4,X5),X4)
| decreasing(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_18,plain,
! [X71,X72,X73,X74,X76,X77,X78,X79,X80,X81,X83] :
( ( member(esk18_4(X71,X72,X73,X74),X73)
| ~ member(X74,X72)
| ~ maps(X71,X72,X73) )
& ( apply(X71,X74,esk18_4(X71,X72,X73,X74))
| ~ member(X74,X72)
| ~ maps(X71,X72,X73) )
& ( ~ member(X76,X72)
| ~ member(X77,X73)
| ~ member(X78,X73)
| ~ apply(X71,X76,X77)
| ~ apply(X71,X76,X78)
| X77 = X78
| ~ maps(X71,X72,X73) )
& ( member(esk20_3(X79,X80,X81),X80)
| member(esk19_3(X79,X80,X81),X80)
| maps(X79,X80,X81) )
& ( member(esk21_3(X79,X80,X81),X81)
| member(esk19_3(X79,X80,X81),X80)
| maps(X79,X80,X81) )
& ( member(esk22_3(X79,X80,X81),X81)
| member(esk19_3(X79,X80,X81),X80)
| maps(X79,X80,X81) )
& ( apply(X79,esk20_3(X79,X80,X81),esk21_3(X79,X80,X81))
| member(esk19_3(X79,X80,X81),X80)
| maps(X79,X80,X81) )
& ( apply(X79,esk20_3(X79,X80,X81),esk22_3(X79,X80,X81))
| member(esk19_3(X79,X80,X81),X80)
| maps(X79,X80,X81) )
& ( esk21_3(X79,X80,X81) != esk22_3(X79,X80,X81)
| member(esk19_3(X79,X80,X81),X80)
| maps(X79,X80,X81) )
& ( member(esk20_3(X79,X80,X81),X80)
| ~ member(X83,X81)
| ~ apply(X79,esk19_3(X79,X80,X81),X83)
| maps(X79,X80,X81) )
& ( member(esk21_3(X79,X80,X81),X81)
| ~ member(X83,X81)
| ~ apply(X79,esk19_3(X79,X80,X81),X83)
| maps(X79,X80,X81) )
& ( member(esk22_3(X79,X80,X81),X81)
| ~ member(X83,X81)
| ~ apply(X79,esk19_3(X79,X80,X81),X83)
| maps(X79,X80,X81) )
& ( apply(X79,esk20_3(X79,X80,X81),esk21_3(X79,X80,X81))
| ~ member(X83,X81)
| ~ apply(X79,esk19_3(X79,X80,X81),X83)
| maps(X79,X80,X81) )
& ( apply(X79,esk20_3(X79,X80,X81),esk22_3(X79,X80,X81))
| ~ member(X83,X81)
| ~ apply(X79,esk19_3(X79,X80,X81),X83)
| maps(X79,X80,X81) )
& ( esk21_3(X79,X80,X81) != esk22_3(X79,X80,X81)
| ~ member(X83,X81)
| ~ apply(X79,esk19_3(X79,X80,X81),X83)
| maps(X79,X80,X81) ) ),
inference(distribute,[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_19,negated_conjecture,
( apply(esk7_0,X1,X2)
| ~ apply(esk6_0,X3,X4)
| ~ apply(esk1_0,X4,X2)
| ~ apply(esk1_0,X3,X1)
| ~ member(X2,esk4_0)
| ~ member(X4,esk3_0)
| ~ member(X1,esk4_0)
| ~ member(X3,esk3_0) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_20,negated_conjecture,
apply(esk6_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_21,negated_conjecture,
member(esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk3_0),
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_22,negated_conjecture,
member(esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk3_0),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_23,plain,
( apply(X1,X2,esk13_7(X3,X1,X4,X5,X6,X2,X7))
| ~ apply(compose_function(X3,X1,X4,X5,X6),X2,X7)
| ~ member(X2,X4)
| ~ member(X7,X6) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
member(esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk5_0),
inference(spm,[status(thm)],[c_0_11,c_0_17]) ).
cnf(c_0_26,plain,
( member(esk13_7(X1,X2,X3,X4,X5,X6,X7),X4)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,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_18]) ).
cnf(c_0_28,negated_conjecture,
maps(esk2_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_29,plain,
( apply(X1,X2,esk18_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( member(esk18_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,plain,
( apply(X5,X9,X7)
| ~ decreasing(X1,X2,X3,X4,X5)
| ~ member(X6,X2)
| ~ member(X7,X4)
| ~ member(X8,X2)
| ~ member(X9,X4)
| ~ apply(X3,X6,X8)
| ~ apply(X1,X6,X7)
| ~ apply(X1,X8,X9) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_32,negated_conjecture,
decreasing(esk2_0,esk4_0,esk7_0,esk5_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,negated_conjecture,
( apply(esk7_0,X1,X2)
| ~ apply(esk1_0,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),X2)
| ~ apply(esk1_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),X1)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_34,negated_conjecture,
apply(esk1_0,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_21])]) ).
cnf(c_0_35,negated_conjecture,
member(esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_24]),c_0_25]),c_0_21])]) ).
cnf(c_0_36,negated_conjecture,
( X1 = X2
| ~ apply(esk2_0,X3,X2)
| ~ apply(esk2_0,X3,X1)
| ~ member(X2,esk5_0)
| ~ member(X1,esk5_0)
| ~ member(X3,esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
( apply(esk2_0,X1,esk18_4(esk2_0,esk4_0,esk5_0,X1))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_28]) ).
cnf(c_0_38,negated_conjecture,
( member(esk18_4(esk2_0,esk4_0,esk5_0,X1),esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_28]) ).
cnf(c_0_39,plain,
( apply(X1,esk13_7(X1,X2,X3,X4,X5,X6,X7),X7)
| ~ apply(compose_function(X1,X2,X3,X4,X5),X6,X7)
| ~ member(X6,X3)
| ~ member(X7,X5) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_40,negated_conjecture,
maps(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_41,plain,
( apply(X1,esk9_5(X1,X2,X3,X4,X5),esk10_5(X1,X2,X3,X4,X5))
| decreasing(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_42,plain,
( member(esk10_5(X1,X2,X3,X4,X5),X4)
| decreasing(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_43,negated_conjecture,
( apply(esk8_0,X1,X2)
| ~ apply(esk7_0,X3,X4)
| ~ apply(esk2_0,X4,X1)
| ~ apply(esk2_0,X3,X2)
| ~ member(X1,esk5_0)
| ~ member(X4,esk4_0)
| ~ member(X2,esk5_0)
| ~ member(X3,esk4_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_44,negated_conjecture,
( apply(esk7_0,X1,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)))
| ~ apply(esk1_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),X1)
| ~ member(X1,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_45,negated_conjecture,
( X1 = esk18_4(esk2_0,esk4_0,esk5_0,X2)
| ~ apply(esk2_0,X2,X1)
| ~ member(X1,esk5_0)
| ~ member(X2,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_46,negated_conjecture,
apply(esk2_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_24]),c_0_25]),c_0_21])]) ).
cnf(c_0_47,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X3,X2)
| ~ apply(esk1_0,X3,X1)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X3,esk3_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_40]) ).
cnf(c_0_48,negated_conjecture,
( apply(esk1_0,X1,esk18_4(esk1_0,esk3_0,esk4_0,X1))
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_40]) ).
cnf(c_0_49,negated_conjecture,
( member(esk18_4(esk1_0,esk3_0,esk4_0,X1),esk4_0)
| ~ member(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_40]) ).
cnf(c_0_50,negated_conjecture,
apply(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),
inference(spm,[status(thm)],[c_0_11,c_0_41]) ).
cnf(c_0_51,negated_conjecture,
member(esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk5_0),
inference(spm,[status(thm)],[c_0_11,c_0_42]) ).
cnf(c_0_52,negated_conjecture,
( apply(esk8_0,X1,X2)
| ~ apply(esk2_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),X1)
| ~ apply(esk1_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),X3)
| ~ apply(esk2_0,X3,X2)
| ~ member(X1,esk5_0)
| ~ member(X2,esk5_0)
| ~ member(X3,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_35])]) ).
cnf(c_0_53,negated_conjecture,
esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk11_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0))) = esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_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_25]),c_0_35])]) ).
cnf(c_0_54,negated_conjecture,
( X1 = esk18_4(esk1_0,esk3_0,esk4_0,X2)
| ~ apply(esk1_0,X2,X1)
| ~ member(X1,esk4_0)
| ~ member(X2,esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_55,negated_conjecture,
apply(esk1_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_50]),c_0_51]),c_0_22])]) ).
cnf(c_0_56,negated_conjecture,
member(esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_50]),c_0_51]),c_0_22])]) ).
cnf(c_0_57,negated_conjecture,
( apply(esk8_0,esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),X1)
| ~ apply(esk1_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),X2)
| ~ apply(esk2_0,X2,X1)
| ~ member(X1,esk5_0)
| ~ member(X2,esk4_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_52,c_0_37]),c_0_53]),c_0_53]),c_0_25]),c_0_35])]) ).
cnf(c_0_58,negated_conjecture,
esk18_4(esk1_0,esk3_0,esk4_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)) = esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_22])]) ).
cnf(c_0_59,negated_conjecture,
apply(esk2_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_50]),c_0_51]),c_0_22])]) ).
cnf(c_0_60,plain,
( decreasing(X2,X3,X4,X5,X1)
| ~ apply(X1,esk12_5(X2,X3,X4,X5,X1),esk10_5(X2,X3,X4,X5,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_61,negated_conjecture,
( apply(esk8_0,esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),X1)
| ~ apply(esk2_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),X1)
| ~ member(X1,esk5_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_57,c_0_48]),c_0_58]),c_0_58]),c_0_56]),c_0_22])]) ).
cnf(c_0_62,negated_conjecture,
esk18_4(esk2_0,esk4_0,esk5_0,esk13_7(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0,esk9_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0))) = esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_59]),c_0_51]),c_0_56])]) ).
cnf(c_0_63,negated_conjecture,
~ apply(esk8_0,esk12_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0),esk10_5(compose_function(esk2_0,esk1_0,esk3_0,esk4_0,esk5_0),esk3_0,esk6_0,esk5_0,esk8_0)),
inference(spm,[status(thm)],[c_0_11,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(sr,[status(thm)],[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_61,c_0_37]),c_0_62]),c_0_62]),c_0_51]),c_0_56])]),c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET747+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.11 % Command : run_E %s %d THM
% 0.08/0.30 % Computer : n001.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 2400
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Mon Oct 2 17:55:51 EDT 2023
% 0.08/0.30 % CPUTime :
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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/tmp/tmp.zDrMc6qEyD/E---3.1_15652.p
% 0.12/0.45 # Version: 3.1pre001
% 0.12/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 # Starting sh5l with 300s (1) cores
% 0.12/0.45 # new_bool_3 with pid 15731 completed with status 0
% 0.12/0.45 # Result found by new_bool_3
% 0.12/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.45 # Search class: FGUSF-FFMS33-SFFFFFNN
% 0.12/0.45 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 0.12/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 150s (1) cores
% 0.12/0.45 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 15734 completed with status 0
% 0.12/0.45 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI
% 0.12/0.45 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.45 # Search class: FGUSF-FFMS33-SFFFFFNN
% 0.12/0.45 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 0.12/0.45 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.45 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 150s (1) cores
% 0.12/0.45 # Preprocessing time : 0.002 s
% 0.12/0.45 # Presaturation interreduction done
% 0.12/0.45
% 0.12/0.45 # Proof found!
% 0.12/0.45 # SZS status Theorem
% 0.12/0.45 # SZS output start CNFRefutation
% See solution above
% 0.12/0.45 # Parsed axioms : 29
% 0.12/0.45 # Removed by relevancy pruning/SinE : 24
% 0.12/0.45 # Initial clauses : 42
% 0.12/0.45 # Removed in clause preprocessing : 0
% 0.12/0.45 # Initial clauses in saturation : 42
% 0.12/0.45 # Processed clauses : 166
% 0.12/0.45 # ...of these trivial : 0
% 0.12/0.45 # ...subsumed : 2
% 0.12/0.45 # ...remaining for further processing : 164
% 0.12/0.45 # Other redundant clauses eliminated : 0
% 0.12/0.45 # Clauses deleted for lack of memory : 0
% 0.12/0.45 # Backward-subsumed : 0
% 0.12/0.45 # Backward-rewritten : 0
% 0.12/0.45 # Generated clauses : 689
% 0.12/0.45 # ...of the previous two non-redundant : 635
% 0.12/0.45 # ...aggressively subsumed : 0
% 0.12/0.45 # Contextual simplify-reflections : 2
% 0.12/0.45 # Paramodulations : 689
% 0.12/0.45 # Factorizations : 0
% 0.12/0.45 # NegExts : 0
% 0.12/0.45 # Equation resolutions : 0
% 0.12/0.45 # Total rewrite steps : 181
% 0.12/0.45 # Propositional unsat checks : 0
% 0.12/0.45 # Propositional check models : 0
% 0.12/0.45 # Propositional check unsatisfiable : 0
% 0.12/0.45 # Propositional clauses : 0
% 0.12/0.45 # Propositional clauses after purity: 0
% 0.12/0.45 # Propositional unsat core size : 0
% 0.12/0.45 # Propositional preprocessing time : 0.000
% 0.12/0.45 # Propositional encoding time : 0.000
% 0.12/0.45 # Propositional solver time : 0.000
% 0.12/0.45 # Success case prop preproc time : 0.000
% 0.12/0.45 # Success case prop encoding time : 0.000
% 0.12/0.45 # Success case prop solver time : 0.000
% 0.12/0.45 # Current number of processed clauses : 122
% 0.12/0.45 # Positive orientable unit clauses : 21
% 0.12/0.45 # Positive unorientable unit clauses: 0
% 0.12/0.45 # Negative unit clauses : 2
% 0.12/0.45 # Non-unit-clauses : 99
% 0.12/0.45 # Current number of unprocessed clauses: 546
% 0.12/0.45 # ...number of literals in the above : 4222
% 0.12/0.45 # Current number of archived formulas : 0
% 0.12/0.45 # Current number of archived clauses : 42
% 0.12/0.45 # Clause-clause subsumption calls (NU) : 1701
% 0.12/0.45 # Rec. Clause-clause subsumption calls : 134
% 0.12/0.45 # Non-unit clause-clause subsumptions : 4
% 0.12/0.45 # Unit Clause-clause subsumption calls : 0
% 0.12/0.45 # Rewrite failures with RHS unbound : 0
% 0.12/0.45 # BW rewrite match attempts : 13
% 0.12/0.45 # BW rewrite match successes : 0
% 0.12/0.45 # Condensation attempts : 0
% 0.12/0.45 # Condensation successes : 0
% 0.12/0.45 # Termbank termtop insertions : 38826
% 0.12/0.45
% 0.12/0.45 # -------------------------------------------------
% 0.12/0.45 # User time : 0.030 s
% 0.12/0.45 # System time : 0.002 s
% 0.12/0.45 # Total time : 0.032 s
% 0.12/0.45 # Maximum resident set size: 1900 pages
% 0.12/0.45
% 0.12/0.45 # -------------------------------------------------
% 0.12/0.45 # User time : 0.031 s
% 0.12/0.45 # System time : 0.003 s
% 0.12/0.45 # Total time : 0.034 s
% 0.12/0.45 # Maximum resident set size: 1740 pages
% 0.12/0.45 % E---3.1 exiting
% 0.12/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------