TSTP Solution File: SET725+4 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET725+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 19:23:28 EDT 2023
% Result : Theorem 0.16s 0.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 94 ( 19 unt; 0 def)
% Number of atoms : 345 ( 34 equ)
% Maximal formula atoms : 55 ( 3 avg)
% Number of connectives : 400 ( 149 ~; 179 |; 56 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 5 con; 0-7 aty)
% Number of variables : 184 ( 0 sgn; 84 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thII16,conjecture,
! [X6,X10,X9,X1,X2] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X1)
& maps(X9,X2,X1)
& identity(compose_function(X10,X6,X1,X2,X1),X1)
& identity(compose_function(X6,X9,X2,X1,X2),X2) )
=> one_to_one(X6,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.JyILZUNqrz/E---3.1_15666.p',thII16) ).
fof(one_to_one,axiom,
! [X6,X1,X2] :
( one_to_one(X6,X1,X2)
<=> ( injective(X6,X1,X2)
& surjective(X6,X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JyILZUNqrz/E---3.1_15666.p',one_to_one) ).
fof(surjective,axiom,
! [X6,X1,X2] :
( surjective(X6,X1,X2)
<=> ! [X5] :
( member(X5,X2)
=> ? [X4] :
( member(X4,X1)
& apply(X6,X4,X5) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JyILZUNqrz/E---3.1_15666.p',surjective) ).
fof(identity,axiom,
! [X6,X1] :
( identity(X6,X1)
<=> ! [X3] :
( member(X3,X1)
=> apply(X6,X3,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JyILZUNqrz/E---3.1_15666.p',identity) ).
fof(injective,axiom,
! [X6,X1,X2] :
( injective(X6,X1,X2)
<=> ! [X13,X14,X5] :
( ( member(X13,X1)
& member(X14,X1)
& member(X5,X2) )
=> ( ( apply(X6,X13,X5)
& apply(X6,X14,X5) )
=> X13 = X14 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JyILZUNqrz/E---3.1_15666.p',injective) ).
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.JyILZUNqrz/E---3.1_15666.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.JyILZUNqrz/E---3.1_15666.p',maps) ).
fof(c_0_7,negated_conjecture,
~ ! [X6,X10,X9,X1,X2] :
( ( maps(X6,X1,X2)
& maps(X10,X2,X1)
& maps(X9,X2,X1)
& identity(compose_function(X10,X6,X1,X2,X1),X1)
& identity(compose_function(X6,X9,X2,X1,X2),X2) )
=> one_to_one(X6,X1,X2) ),
inference(assume_negation,[status(cth)],[thII16]) ).
fof(c_0_8,negated_conjecture,
( maps(esk1_0,esk4_0,esk5_0)
& maps(esk2_0,esk5_0,esk4_0)
& maps(esk3_0,esk5_0,esk4_0)
& identity(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0),esk4_0)
& identity(compose_function(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0),esk5_0)
& ~ one_to_one(esk1_0,esk4_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_9,plain,
! [X22,X23,X24] :
( ( injective(X22,X23,X24)
| ~ one_to_one(X22,X23,X24) )
& ( surjective(X22,X23,X24)
| ~ one_to_one(X22,X23,X24) )
& ( ~ injective(X22,X23,X24)
| ~ surjective(X22,X23,X24)
| one_to_one(X22,X23,X24) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[one_to_one])])]) ).
cnf(c_0_10,negated_conjecture,
~ one_to_one(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
( one_to_one(X1,X2,X3)
| ~ injective(X1,X2,X3)
| ~ surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X56,X57,X58,X59,X61,X62,X63,X65] :
( ( member(esk13_4(X56,X57,X58,X59),X57)
| ~ member(X59,X58)
| ~ surjective(X56,X57,X58) )
& ( apply(X56,esk13_4(X56,X57,X58,X59),X59)
| ~ member(X59,X58)
| ~ surjective(X56,X57,X58) )
& ( member(esk14_3(X61,X62,X63),X63)
| surjective(X61,X62,X63) )
& ( ~ member(X65,X62)
| ~ apply(X61,X65,esk14_3(X61,X62,X63))
| surjective(X61,X62,X63) ) ),
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)],[surjective])])])])])]) ).
fof(c_0_13,plain,
! [X25,X26,X27,X28,X29] :
( ( ~ identity(X25,X26)
| ~ member(X27,X26)
| apply(X25,X27,X27) )
& ( member(esk6_2(X28,X29),X29)
| identity(X28,X29) )
& ( ~ apply(X28,esk6_2(X28,X29),esk6_2(X28,X29))
| identity(X28,X29) ) ),
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)],[identity])])])])])]) ).
cnf(c_0_14,negated_conjecture,
( ~ surjective(esk1_0,esk4_0,esk5_0)
| ~ injective(esk1_0,esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,plain,
( surjective(X3,X2,X4)
| ~ member(X1,X2)
| ~ apply(X3,X1,esk14_3(X3,X2,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,plain,
! [X66,X67,X68,X69,X70,X71,X72,X73,X74] :
( ( ~ injective(X66,X67,X68)
| ~ member(X69,X67)
| ~ member(X70,X67)
| ~ member(X71,X68)
| ~ apply(X66,X69,X71)
| ~ apply(X66,X70,X71)
| X69 = X70 )
& ( member(esk15_3(X72,X73,X74),X73)
| injective(X72,X73,X74) )
& ( member(esk16_3(X72,X73,X74),X73)
| injective(X72,X73,X74) )
& ( member(esk17_3(X72,X73,X74),X74)
| injective(X72,X73,X74) )
& ( apply(X72,esk15_3(X72,X73,X74),esk17_3(X72,X73,X74))
| injective(X72,X73,X74) )
& ( apply(X72,esk16_3(X72,X73,X74),esk17_3(X72,X73,X74))
| injective(X72,X73,X74) )
& ( esk15_3(X72,X73,X74) != esk16_3(X72,X73,X74)
| injective(X72,X73,X74) ) ),
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)],[injective])])])])])]) ).
fof(c_0_17,plain,
! [X31,X32,X33,X34,X35,X36,X37,X39] :
( ( member(esk7_7(X31,X32,X33,X34,X35,X36,X37),X34)
| ~ apply(compose_function(X31,X32,X33,X34,X35),X36,X37)
| ~ member(X36,X33)
| ~ member(X37,X35) )
& ( apply(X32,X36,esk7_7(X31,X32,X33,X34,X35,X36,X37))
| ~ apply(compose_function(X31,X32,X33,X34,X35),X36,X37)
| ~ member(X36,X33)
| ~ member(X37,X35) )
& ( apply(X31,esk7_7(X31,X32,X33,X34,X35,X36,X37),X37)
| ~ apply(compose_function(X31,X32,X33,X34,X35),X36,X37)
| ~ member(X36,X33)
| ~ member(X37,X35) )
& ( ~ member(X39,X34)
| ~ apply(X32,X36,X39)
| ~ apply(X31,X39,X37)
| apply(compose_function(X31,X32,X33,X34,X35),X36,X37)
| ~ member(X36,X33)
| ~ member(X37,X35) ) ),
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_18,plain,
( apply(X1,X3,X3)
| ~ identity(X1,X2)
| ~ member(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
identity(compose_function(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0),esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,plain,
( member(esk14_3(X1,X2,X3),X3)
| surjective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
( ~ injective(esk1_0,esk4_0,esk5_0)
| ~ apply(esk1_0,X1,esk14_3(esk1_0,esk4_0,esk5_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,plain,
( member(esk15_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( apply(X1,esk7_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_17]) ).
cnf(c_0_24,negated_conjecture,
( apply(compose_function(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0),X1,X1)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( member(esk14_3(esk1_0,esk4_0,esk5_0),esk5_0)
| ~ injective(esk1_0,esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_20]) ).
fof(c_0_26,plain,
! [X40,X41,X42,X43,X45,X46,X47,X48,X49,X50,X52] :
( ( member(esk8_4(X40,X41,X42,X43),X42)
| ~ member(X43,X41)
| ~ maps(X40,X41,X42) )
& ( apply(X40,X43,esk8_4(X40,X41,X42,X43))
| ~ member(X43,X41)
| ~ maps(X40,X41,X42) )
& ( ~ member(X45,X41)
| ~ member(X46,X42)
| ~ member(X47,X42)
| ~ apply(X40,X45,X46)
| ~ apply(X40,X45,X47)
| X46 = X47
| ~ maps(X40,X41,X42) )
& ( member(esk10_3(X48,X49,X50),X49)
| member(esk9_3(X48,X49,X50),X49)
| maps(X48,X49,X50) )
& ( member(esk11_3(X48,X49,X50),X50)
| member(esk9_3(X48,X49,X50),X49)
| maps(X48,X49,X50) )
& ( member(esk12_3(X48,X49,X50),X50)
| member(esk9_3(X48,X49,X50),X49)
| maps(X48,X49,X50) )
& ( apply(X48,esk10_3(X48,X49,X50),esk11_3(X48,X49,X50))
| member(esk9_3(X48,X49,X50),X49)
| maps(X48,X49,X50) )
& ( apply(X48,esk10_3(X48,X49,X50),esk12_3(X48,X49,X50))
| member(esk9_3(X48,X49,X50),X49)
| maps(X48,X49,X50) )
& ( esk11_3(X48,X49,X50) != esk12_3(X48,X49,X50)
| member(esk9_3(X48,X49,X50),X49)
| maps(X48,X49,X50) )
& ( member(esk10_3(X48,X49,X50),X49)
| ~ member(X52,X50)
| ~ apply(X48,esk9_3(X48,X49,X50),X52)
| maps(X48,X49,X50) )
& ( member(esk11_3(X48,X49,X50),X50)
| ~ member(X52,X50)
| ~ apply(X48,esk9_3(X48,X49,X50),X52)
| maps(X48,X49,X50) )
& ( member(esk12_3(X48,X49,X50),X50)
| ~ member(X52,X50)
| ~ apply(X48,esk9_3(X48,X49,X50),X52)
| maps(X48,X49,X50) )
& ( apply(X48,esk10_3(X48,X49,X50),esk11_3(X48,X49,X50))
| ~ member(X52,X50)
| ~ apply(X48,esk9_3(X48,X49,X50),X52)
| maps(X48,X49,X50) )
& ( apply(X48,esk10_3(X48,X49,X50),esk12_3(X48,X49,X50))
| ~ member(X52,X50)
| ~ apply(X48,esk9_3(X48,X49,X50),X52)
| maps(X48,X49,X50) )
& ( esk11_3(X48,X49,X50) != esk12_3(X48,X49,X50)
| ~ member(X52,X50)
| ~ apply(X48,esk9_3(X48,X49,X50),X52)
| maps(X48,X49,X50) ) ),
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_27,negated_conjecture,
( member(esk15_3(esk1_0,esk4_0,esk5_0),esk4_0)
| ~ apply(esk1_0,X1,esk14_3(esk1_0,esk4_0,esk5_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_28,negated_conjecture,
( apply(esk1_0,esk7_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,X1,X1),X1)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( member(esk15_3(esk1_0,esk4_0,esk5_0),esk4_0)
| member(esk14_3(esk1_0,esk4_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
cnf(c_0_30,plain,
( member(esk7_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_17]) ).
cnf(c_0_31,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_26]) ).
cnf(c_0_32,negated_conjecture,
maps(esk2_0,esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_33,plain,
( apply(X1,X2,esk8_4(X1,X3,X4,X2))
| ~ member(X2,X3)
| ~ maps(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,plain,
( member(esk8_4(X1,X2,X3,X4),X3)
| ~ member(X4,X2)
| ~ maps(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,negated_conjecture,
identity(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0),esk4_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_36,negated_conjecture,
maps(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_37,plain,
( member(esk17_3(X1,X2,X3),X3)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_38,plain,
( apply(X1,esk15_3(X1,X2,X3),esk17_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_39,negated_conjecture,
( member(esk15_3(esk1_0,esk4_0,esk5_0),esk4_0)
| ~ member(esk7_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,esk14_3(esk1_0,esk4_0,esk5_0),esk14_3(esk1_0,esk4_0,esk5_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_40,negated_conjecture,
( member(esk7_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,X1,X1),esk4_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_24]) ).
cnf(c_0_41,plain,
( member(esk16_3(X1,X2,X3),X2)
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_42,negated_conjecture,
( X1 = X2
| ~ apply(esk2_0,X3,X2)
| ~ apply(esk2_0,X3,X1)
| ~ member(X2,esk4_0)
| ~ member(X1,esk4_0)
| ~ member(X3,esk5_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_43,negated_conjecture,
( apply(esk2_0,X1,esk8_4(esk2_0,esk5_0,esk4_0,X1))
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_44,negated_conjecture,
( member(esk8_4(esk2_0,esk5_0,esk4_0,X1),esk4_0)
| ~ member(X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_45,negated_conjecture,
( apply(compose_function(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0),X1,X1)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_18,c_0_35]) ).
cnf(c_0_46,negated_conjecture,
( X1 = X2
| ~ apply(esk1_0,X3,X2)
| ~ apply(esk1_0,X3,X1)
| ~ member(X2,esk5_0)
| ~ member(X1,esk5_0)
| ~ member(X3,esk4_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_36]) ).
cnf(c_0_47,negated_conjecture,
( apply(esk1_0,X1,esk8_4(esk1_0,esk4_0,esk5_0,X1))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_36]) ).
cnf(c_0_48,negated_conjecture,
( member(esk8_4(esk1_0,esk4_0,esk5_0,X1),esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_36]) ).
cnf(c_0_49,plain,
( apply(X1,X2,esk7_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_17]) ).
cnf(c_0_50,negated_conjecture,
( member(esk17_3(esk1_0,esk4_0,esk5_0),esk5_0)
| ~ apply(esk1_0,X1,esk14_3(esk1_0,esk4_0,esk5_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_37]) ).
cnf(c_0_51,negated_conjecture,
( member(esk17_3(esk1_0,esk4_0,esk5_0),esk5_0)
| member(esk14_3(esk1_0,esk4_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_37]) ).
cnf(c_0_52,negated_conjecture,
( apply(esk1_0,esk15_3(esk1_0,esk4_0,esk5_0),esk17_3(esk1_0,esk4_0,esk5_0))
| member(esk14_3(esk1_0,esk4_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_38]) ).
cnf(c_0_53,negated_conjecture,
member(esk15_3(esk1_0,esk4_0,esk5_0),esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_29]) ).
cnf(c_0_54,negated_conjecture,
( member(esk16_3(esk1_0,esk4_0,esk5_0),esk4_0)
| ~ apply(esk1_0,X1,esk14_3(esk1_0,esk4_0,esk5_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_41]) ).
cnf(c_0_55,negated_conjecture,
( member(esk16_3(esk1_0,esk4_0,esk5_0),esk4_0)
| member(esk14_3(esk1_0,esk4_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_41]) ).
cnf(c_0_56,plain,
( apply(X1,esk16_3(X1,X2,X3),esk17_3(X1,X2,X3))
| injective(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_57,negated_conjecture,
( X1 = esk8_4(esk2_0,esk5_0,esk4_0,X2)
| ~ apply(esk2_0,X2,X1)
| ~ member(X1,esk4_0)
| ~ member(X2,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]) ).
cnf(c_0_58,negated_conjecture,
( apply(esk2_0,esk7_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,X1,X1),X1)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_45]) ).
cnf(c_0_59,negated_conjecture,
( member(esk7_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,X1,X1),esk5_0)
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_30,c_0_45]) ).
cnf(c_0_60,negated_conjecture,
( X1 = esk8_4(esk1_0,esk4_0,esk5_0,X2)
| ~ apply(esk1_0,X2,X1)
| ~ member(X1,esk5_0)
| ~ member(X2,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_61,negated_conjecture,
( apply(esk1_0,X1,esk7_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,X1,X1))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_45]) ).
cnf(c_0_62,negated_conjecture,
( apply(esk1_0,esk15_3(esk1_0,esk4_0,esk5_0),esk17_3(esk1_0,esk4_0,esk5_0))
| ~ apply(esk1_0,X1,esk14_3(esk1_0,esk4_0,esk5_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_38]) ).
cnf(c_0_63,negated_conjecture,
( member(esk17_3(esk1_0,esk4_0,esk5_0),esk5_0)
| ~ member(esk7_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,esk14_3(esk1_0,esk4_0,esk5_0),esk14_3(esk1_0,esk4_0,esk5_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_28]),c_0_51]) ).
cnf(c_0_64,negated_conjecture,
( X1 = esk17_3(esk1_0,esk4_0,esk5_0)
| member(esk14_3(esk1_0,esk4_0,esk5_0),esk5_0)
| ~ apply(esk1_0,esk15_3(esk1_0,esk4_0,esk5_0),X1)
| ~ member(X1,esk5_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_52]),c_0_53])]),c_0_51]) ).
cnf(c_0_65,negated_conjecture,
( member(esk16_3(esk1_0,esk4_0,esk5_0),esk4_0)
| ~ member(esk7_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,esk14_3(esk1_0,esk4_0,esk5_0),esk14_3(esk1_0,esk4_0,esk5_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_28]),c_0_55]) ).
cnf(c_0_66,negated_conjecture,
( apply(esk1_0,esk16_3(esk1_0,esk4_0,esk5_0),esk17_3(esk1_0,esk4_0,esk5_0))
| ~ apply(esk1_0,X1,esk14_3(esk1_0,esk4_0,esk5_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
( apply(esk1_0,esk16_3(esk1_0,esk4_0,esk5_0),esk17_3(esk1_0,esk4_0,esk5_0))
| member(esk14_3(esk1_0,esk4_0,esk5_0),esk5_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_56]) ).
cnf(c_0_68,negated_conjecture,
( esk8_4(esk2_0,esk5_0,esk4_0,esk7_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,X1,X1)) = X1
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59]) ).
cnf(c_0_69,negated_conjecture,
( esk7_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,X1,X1) = esk8_4(esk1_0,esk4_0,esk5_0,X1)
| ~ member(X1,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_59]) ).
cnf(c_0_70,negated_conjecture,
( apply(esk1_0,esk15_3(esk1_0,esk4_0,esk5_0),esk17_3(esk1_0,esk4_0,esk5_0))
| ~ member(esk7_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,esk14_3(esk1_0,esk4_0,esk5_0),esk14_3(esk1_0,esk4_0,esk5_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_28]),c_0_52]) ).
cnf(c_0_71,negated_conjecture,
member(esk17_3(esk1_0,esk4_0,esk5_0),esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_40]),c_0_51]) ).
cnf(c_0_72,negated_conjecture,
( esk8_4(esk1_0,esk4_0,esk5_0,esk15_3(esk1_0,esk4_0,esk5_0)) = esk17_3(esk1_0,esk4_0,esk5_0)
| member(esk14_3(esk1_0,esk4_0,esk5_0),esk5_0)
| ~ member(esk8_4(esk1_0,esk4_0,esk5_0,esk15_3(esk1_0,esk4_0,esk5_0)),esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_47]),c_0_53])]) ).
cnf(c_0_73,plain,
( injective(X1,X2,X3)
| esk15_3(X1,X2,X3) != esk16_3(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_74,negated_conjecture,
member(esk16_3(esk1_0,esk4_0,esk5_0),esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_40]),c_0_55]) ).
cnf(c_0_75,negated_conjecture,
( apply(esk1_0,esk16_3(esk1_0,esk4_0,esk5_0),esk17_3(esk1_0,esk4_0,esk5_0))
| ~ member(esk7_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,esk14_3(esk1_0,esk4_0,esk5_0),esk14_3(esk1_0,esk4_0,esk5_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_28]),c_0_67]) ).
cnf(c_0_76,negated_conjecture,
esk8_4(esk2_0,esk5_0,esk4_0,esk7_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,esk15_3(esk1_0,esk4_0,esk5_0),esk15_3(esk1_0,esk4_0,esk5_0))) = esk15_3(esk1_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_68,c_0_53]) ).
cnf(c_0_77,negated_conjecture,
esk7_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,esk15_3(esk1_0,esk4_0,esk5_0),esk15_3(esk1_0,esk4_0,esk5_0)) = esk8_4(esk1_0,esk4_0,esk5_0,esk15_3(esk1_0,esk4_0,esk5_0)),
inference(spm,[status(thm)],[c_0_69,c_0_53]) ).
cnf(c_0_78,negated_conjecture,
( esk8_4(esk1_0,esk4_0,esk5_0,esk15_3(esk1_0,esk4_0,esk5_0)) = esk17_3(esk1_0,esk4_0,esk5_0)
| ~ member(esk7_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,esk14_3(esk1_0,esk4_0,esk5_0),esk14_3(esk1_0,esk4_0,esk5_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_70]),c_0_71]),c_0_53])]) ).
cnf(c_0_79,negated_conjecture,
( esk8_4(esk1_0,esk4_0,esk5_0,esk15_3(esk1_0,esk4_0,esk5_0)) = esk17_3(esk1_0,esk4_0,esk5_0)
| member(esk14_3(esk1_0,esk4_0,esk5_0),esk5_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_48]),c_0_53])]) ).
cnf(c_0_80,negated_conjecture,
( esk16_3(esk1_0,esk4_0,esk5_0) != esk15_3(esk1_0,esk4_0,esk5_0)
| ~ apply(esk1_0,X1,esk14_3(esk1_0,esk4_0,esk5_0))
| ~ member(X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_21,c_0_73]) ).
cnf(c_0_81,negated_conjecture,
( member(esk14_3(esk1_0,esk4_0,esk5_0),esk5_0)
| esk16_3(esk1_0,esk4_0,esk5_0) != esk15_3(esk1_0,esk4_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_73]) ).
cnf(c_0_82,negated_conjecture,
esk8_4(esk2_0,esk5_0,esk4_0,esk7_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,esk16_3(esk1_0,esk4_0,esk5_0),esk16_3(esk1_0,esk4_0,esk5_0))) = esk16_3(esk1_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_68,c_0_74]) ).
cnf(c_0_83,negated_conjecture,
esk7_7(esk2_0,esk1_0,esk4_0,esk5_0,esk4_0,esk16_3(esk1_0,esk4_0,esk5_0),esk16_3(esk1_0,esk4_0,esk5_0)) = esk8_4(esk1_0,esk4_0,esk5_0,esk16_3(esk1_0,esk4_0,esk5_0)),
inference(spm,[status(thm)],[c_0_69,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
( esk8_4(esk1_0,esk4_0,esk5_0,esk16_3(esk1_0,esk4_0,esk5_0)) = esk17_3(esk1_0,esk4_0,esk5_0)
| ~ member(esk7_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,esk14_3(esk1_0,esk4_0,esk5_0),esk14_3(esk1_0,esk4_0,esk5_0)),esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_75]),c_0_71]),c_0_74])]) ).
cnf(c_0_85,negated_conjecture,
( esk8_4(esk1_0,esk4_0,esk5_0,esk16_3(esk1_0,esk4_0,esk5_0)) = esk17_3(esk1_0,esk4_0,esk5_0)
| member(esk14_3(esk1_0,esk4_0,esk5_0),esk5_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_67]),c_0_74])]),c_0_51]) ).
cnf(c_0_86,negated_conjecture,
esk8_4(esk2_0,esk5_0,esk4_0,esk8_4(esk1_0,esk4_0,esk5_0,esk15_3(esk1_0,esk4_0,esk5_0))) = esk15_3(esk1_0,esk4_0,esk5_0),
inference(rw,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_87,negated_conjecture,
esk8_4(esk1_0,esk4_0,esk5_0,esk15_3(esk1_0,esk4_0,esk5_0)) = esk17_3(esk1_0,esk4_0,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_40]),c_0_79]) ).
cnf(c_0_88,negated_conjecture,
( esk16_3(esk1_0,esk4_0,esk5_0) != esk15_3(esk1_0,esk4_0,esk5_0)
| ~ member(esk7_7(esk1_0,esk3_0,esk5_0,esk4_0,esk5_0,esk14_3(esk1_0,esk4_0,esk5_0),esk14_3(esk1_0,esk4_0,esk5_0)),esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_28]),c_0_81]) ).
cnf(c_0_89,negated_conjecture,
esk8_4(esk2_0,esk5_0,esk4_0,esk8_4(esk1_0,esk4_0,esk5_0,esk16_3(esk1_0,esk4_0,esk5_0))) = esk16_3(esk1_0,esk4_0,esk5_0),
inference(rw,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_90,negated_conjecture,
esk8_4(esk1_0,esk4_0,esk5_0,esk16_3(esk1_0,esk4_0,esk5_0)) = esk17_3(esk1_0,esk4_0,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_40]),c_0_85]) ).
cnf(c_0_91,negated_conjecture,
esk8_4(esk2_0,esk5_0,esk4_0,esk17_3(esk1_0,esk4_0,esk5_0)) = esk15_3(esk1_0,esk4_0,esk5_0),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
esk16_3(esk1_0,esk4_0,esk5_0) != esk15_3(esk1_0,esk4_0,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_40]),c_0_81]) ).
cnf(c_0_93,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90]),c_0_91]),c_0_92]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SET725+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n004.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 17:00:15 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.JyILZUNqrz/E---3.1_15666.p
% 0.16/0.50 # Version: 3.1pre001
% 0.16/0.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.50 # Starting sh5l with 300s (1) cores
% 0.16/0.50 # new_bool_1 with pid 15759 completed with status 0
% 0.16/0.50 # Result found by new_bool_1
% 0.16/0.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.50 # Search class: FGUSF-FFMS33-SFFFFFNN
% 0.16/0.50 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 0.16/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.50 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 150s (1) cores
% 0.16/0.50 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 15764 completed with status 0
% 0.16/0.50 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI
% 0.16/0.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.50 # Search class: FGUSF-FFMS33-SFFFFFNN
% 0.16/0.50 # partial match(1): FGUSS-FFMS33-SFFFFFNN
% 0.16/0.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.50 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 150s (1) cores
% 0.16/0.50 # Preprocessing time : 0.004 s
% 0.16/0.50 # Presaturation interreduction done
% 0.16/0.50
% 0.16/0.50 # Proof found!
% 0.16/0.50 # SZS status Theorem
% 0.16/0.50 # SZS output start CNFRefutation
% See solution above
% 0.16/0.50 # Parsed axioms : 29
% 0.16/0.50 # Removed by relevancy pruning/SinE : 22
% 0.16/0.50 # Initial clauses : 42
% 0.16/0.50 # Removed in clause preprocessing : 0
% 0.16/0.50 # Initial clauses in saturation : 42
% 0.16/0.50 # Processed clauses : 358
% 0.16/0.50 # ...of these trivial : 20
% 0.16/0.50 # ...subsumed : 43
% 0.16/0.50 # ...remaining for further processing : 295
% 0.16/0.50 # Other redundant clauses eliminated : 0
% 0.16/0.50 # Clauses deleted for lack of memory : 0
% 0.16/0.50 # Backward-subsumed : 15
% 0.16/0.50 # Backward-rewritten : 59
% 0.16/0.50 # Generated clauses : 1717
% 0.16/0.50 # ...of the previous two non-redundant : 1656
% 0.16/0.50 # ...aggressively subsumed : 0
% 0.16/0.50 # Contextual simplify-reflections : 25
% 0.16/0.50 # Paramodulations : 1717
% 0.16/0.50 # Factorizations : 0
% 0.16/0.50 # NegExts : 0
% 0.16/0.50 # Equation resolutions : 0
% 0.16/0.50 # Total rewrite steps : 535
% 0.16/0.50 # Propositional unsat checks : 0
% 0.16/0.50 # Propositional check models : 0
% 0.16/0.50 # Propositional check unsatisfiable : 0
% 0.16/0.50 # Propositional clauses : 0
% 0.16/0.50 # Propositional clauses after purity: 0
% 0.16/0.50 # Propositional unsat core size : 0
% 0.16/0.50 # Propositional preprocessing time : 0.000
% 0.16/0.50 # Propositional encoding time : 0.000
% 0.16/0.50 # Propositional solver time : 0.000
% 0.16/0.50 # Success case prop preproc time : 0.000
% 0.16/0.50 # Success case prop encoding time : 0.000
% 0.16/0.50 # Success case prop solver time : 0.000
% 0.16/0.50 # Current number of processed clauses : 179
% 0.16/0.50 # Positive orientable unit clauses : 19
% 0.16/0.50 # Positive unorientable unit clauses: 0
% 0.16/0.50 # Negative unit clauses : 2
% 0.16/0.50 # Non-unit-clauses : 158
% 0.16/0.50 # Current number of unprocessed clauses: 1364
% 0.16/0.50 # ...number of literals in the above : 7611
% 0.16/0.50 # Current number of archived formulas : 0
% 0.16/0.50 # Current number of archived clauses : 116
% 0.16/0.50 # Clause-clause subsumption calls (NU) : 9438
% 0.16/0.50 # Rec. Clause-clause subsumption calls : 3715
% 0.16/0.50 # Non-unit clause-clause subsumptions : 71
% 0.16/0.50 # Unit Clause-clause subsumption calls : 233
% 0.16/0.50 # Rewrite failures with RHS unbound : 0
% 0.16/0.50 # BW rewrite match attempts : 137
% 0.16/0.50 # BW rewrite match successes : 9
% 0.16/0.50 # Condensation attempts : 0
% 0.16/0.50 # Condensation successes : 0
% 0.16/0.50 # Termbank termtop insertions : 63383
% 0.16/0.50
% 0.16/0.50 # -------------------------------------------------
% 0.16/0.50 # User time : 0.054 s
% 0.16/0.50 # System time : 0.003 s
% 0.16/0.50 # Total time : 0.057 s
% 0.16/0.50 # Maximum resident set size: 1904 pages
% 0.16/0.50
% 0.16/0.50 # -------------------------------------------------
% 0.16/0.50 # User time : 0.057 s
% 0.16/0.50 # System time : 0.004 s
% 0.16/0.50 # Total time : 0.060 s
% 0.16/0.50 # Maximum resident set size: 1740 pages
% 0.16/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------