TSTP Solution File: SET795+4 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SET795+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n010.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 : 600s
% DateTime : Tue Jul 19 00:14:13 EDT 2022
% Result : Theorem 9.10s 2.64s
% Output : CNFRefutation 9.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 13 unt; 0 def)
% Number of atoms : 423 ( 34 equ)
% Maximal formula atoms : 256 ( 8 avg)
% Number of connectives : 486 ( 115 ~; 252 |; 99 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 77 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-4 aty)
% Number of variables : 104 ( 2 sgn 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thIV7,conjecture,
! [X6,X4,X1,X2] :
( ( order(X6,X4)
& member(X1,X4)
& member(X2,X4)
& apply(X6,X1,X2) )
=> least_upper_bound(X2,unordered_pair(X1,X2),X6,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV7) ).
fof(unordered_pair,axiom,
! [X3,X1,X2] :
( member(X3,unordered_pair(X1,X2))
<=> ( X3 = X1
| X3 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',unordered_pair) ).
fof(least_upper_bound,axiom,
! [X1,X3,X6,X4] :
( least_upper_bound(X1,X3,X6,X4)
<=> ( member(X1,X3)
& upper_bound(X1,X6,X3)
& ! [X8] :
( ( member(X8,X4)
& upper_bound(X8,X6,X3) )
=> apply(X6,X1,X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',least_upper_bound) ).
fof(upper_bound,axiom,
! [X6,X4,X8] :
( upper_bound(X8,X6,X4)
<=> ! [X3] :
( member(X3,X4)
=> apply(X6,X3,X8) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',upper_bound) ).
fof(order,axiom,
! [X6,X4] :
( order(X6,X4)
<=> ( ! [X3] :
( member(X3,X4)
=> apply(X6,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X4)
& member(X5,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X3) )
=> X3 = X5 ) )
& ! [X3,X5,X7] :
( ( member(X3,X4)
& member(X5,X4)
& member(X7,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X7) )
=> apply(X6,X3,X7) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',order) ).
fof(c_0_5,negated_conjecture,
~ ! [X6,X4,X1,X2] :
( ( order(X6,X4)
& member(X1,X4)
& member(X2,X4)
& apply(X6,X1,X2) )
=> least_upper_bound(X2,unordered_pair(X1,X2),X6,X4) ),
inference(assume_negation,[status(cth)],[thIV7]) ).
fof(c_0_6,plain,
! [X31,X32,X33] :
( ( ~ member(X31,unordered_pair(X32,X33))
| X31 = X32
| X31 = X33 )
& ( X31 != X32
| member(X31,unordered_pair(X32,X33)) )
& ( X31 != X33
| member(X31,unordered_pair(X32,X33)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unordered_pair])])]) ).
fof(c_0_7,negated_conjecture,
( order(esk14_0,esk15_0)
& member(esk16_0,esk15_0)
& member(esk17_0,esk15_0)
& apply(esk14_0,esk16_0,esk17_0)
& ~ least_upper_bound(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_8,plain,
! [X104,X105,X106,X107,X108,X109,X110,X111,X112] :
( ( member(X104,X105)
| ~ least_upper_bound(X104,X105,X106,X107) )
& ( upper_bound(X104,X106,X105)
| ~ least_upper_bound(X104,X105,X106,X107) )
& ( ~ member(X108,X107)
| ~ upper_bound(X108,X106,X105)
| apply(X106,X104,X108)
| ~ least_upper_bound(X104,X105,X106,X107) )
& ( member(esk12_4(X109,X110,X111,X112),X112)
| ~ member(X109,X110)
| ~ upper_bound(X109,X111,X110)
| least_upper_bound(X109,X110,X111,X112) )
& ( upper_bound(esk12_4(X109,X110,X111,X112),X111,X110)
| ~ member(X109,X110)
| ~ upper_bound(X109,X111,X110)
| least_upper_bound(X109,X110,X111,X112) )
& ( ~ apply(X111,X109,esk12_4(X109,X110,X111,X112))
| ~ member(X109,X110)
| ~ upper_bound(X109,X111,X110)
| least_upper_bound(X109,X110,X111,X112) ) ),
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)],[least_upper_bound])])])])])]) ).
cnf(c_0_9,plain,
( member(X1,unordered_pair(X3,X2))
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
~ least_upper_bound(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
( upper_bound(esk12_4(X1,X2,X3,X4),X3,X2)
| least_upper_bound(X1,X2,X3,X4)
| ~ member(X1,X2)
| ~ upper_bound(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
member(X1,unordered_pair(X2,X1)),
inference(er,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X56,X57,X58,X59,X60,X61,X62] :
( ( ~ upper_bound(X58,X56,X57)
| ~ member(X59,X57)
| apply(X56,X59,X58) )
& ( member(esk6_3(X60,X61,X62),X61)
| upper_bound(X62,X60,X61) )
& ( ~ apply(X60,esk6_3(X60,X61,X62),X62)
| upper_bound(X62,X60,X61) ) ),
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)],[upper_bound])])])])])]) ).
cnf(c_0_14,negated_conjecture,
( upper_bound(esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0),esk14_0,unordered_pair(esk16_0,esk17_0))
| ~ upper_bound(esk17_0,esk14_0,unordered_pair(esk16_0,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_15,plain,
( member(esk6_3(X1,X2,X3),X2)
| upper_bound(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,plain,
( apply(X2,X4,X1)
| ~ upper_bound(X1,X2,X3)
| ~ member(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( upper_bound(esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0),esk14_0,unordered_pair(esk16_0,esk17_0))
| member(esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0),unordered_pair(esk16_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( least_upper_bound(X2,X3,X1,X4)
| ~ apply(X1,X2,esk12_4(X2,X3,X1,X4))
| ~ member(X2,X3)
| ~ upper_bound(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
( apply(esk14_0,X1,esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0))
| member(esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0),unordered_pair(esk16_0,esk17_0))
| ~ member(X1,unordered_pair(esk16_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( ~ upper_bound(esk17_0,esk14_0,unordered_pair(esk16_0,esk17_0))
| ~ apply(esk14_0,esk17_0,esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_18]),c_0_12])]) ).
cnf(c_0_21,negated_conjecture,
( apply(esk14_0,esk17_0,esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0))
| member(esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0),unordered_pair(esk16_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_19,c_0_12]) ).
cnf(c_0_22,plain,
( upper_bound(X3,X1,X2)
| ~ apply(X1,esk6_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
( X1 = X2
| X1 = X3
| ~ member(X1,unordered_pair(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
member(esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0),unordered_pair(esk16_0,esk17_0)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15]) ).
cnf(c_0_25,negated_conjecture,
( upper_bound(esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0),esk14_0,unordered_pair(esk16_0,esk17_0))
| ~ apply(esk14_0,esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0),esk17_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
( esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0) = esk16_0
| esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0) = esk17_0 ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,negated_conjecture,
apply(esk14_0,esk16_0,esk17_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,negated_conjecture,
( esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0) = esk17_0
| upper_bound(esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0),esk14_0,unordered_pair(esk16_0,esk17_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_29,negated_conjecture,
( esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0) = esk17_0
| apply(esk14_0,X1,esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0))
| ~ member(X1,unordered_pair(esk16_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_28]) ).
fof(c_0_30,plain,
! [X4,X6] :
( epred1_2(X6,X4)
<=> ( ! [X3] :
( member(X3,X4)
=> apply(X6,X3,X3) )
& ! [X3,X5] :
( ( member(X3,X4)
& member(X5,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X3) )
=> X3 = X5 ) )
& ! [X3,X5,X7] :
( ( member(X3,X4)
& member(X5,X4)
& member(X7,X4) )
=> ( ( apply(X6,X3,X5)
& apply(X6,X5,X7) )
=> apply(X6,X3,X7) ) ) ) ),
introduced(definition) ).
cnf(c_0_31,negated_conjecture,
( esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0) = esk17_0
| apply(esk14_0,esk17_0,esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0)) ),
inference(spm,[status(thm)],[c_0_29,c_0_12]) ).
fof(c_0_32,axiom,
! [X6,X4] :
( order(X6,X4)
<=> epred1_2(X6,X4) ),
inference(apply_def,[status(thm)],[order,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0) = esk17_0
| ~ upper_bound(esk17_0,esk14_0,unordered_pair(esk16_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_20,c_0_31]) ).
fof(c_0_34,plain,
! [X46,X47] :
( ( ~ order(X46,X47)
| epred1_2(X46,X47) )
& ( ~ epred1_2(X46,X47)
| order(X46,X47) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
cnf(c_0_35,negated_conjecture,
( esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0) = esk17_0
| ~ apply(esk14_0,esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0),esk17_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_22]) ).
cnf(c_0_36,negated_conjecture,
( esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0) = esk17_0
| esk16_0 != esk17_0 ),
inference(ef,[status(thm)],[c_0_26]) ).
fof(c_0_37,plain,
! [X128,X129,X130,X131,X132,X133,X134,X135,X136,X137] :
( ( ~ member(X130,X128)
| apply(X129,X130,X130)
| ~ epred1_2(X129,X128) )
& ( ~ member(X131,X128)
| ~ member(X132,X128)
| ~ apply(X129,X131,X132)
| ~ apply(X129,X132,X131)
| X131 = X132
| ~ epred1_2(X129,X128) )
& ( ~ member(X133,X128)
| ~ member(X134,X128)
| ~ member(X135,X128)
| ~ apply(X129,X133,X134)
| ~ apply(X129,X134,X135)
| apply(X129,X133,X135)
| ~ epred1_2(X129,X128) )
& ( member(esk21_2(X136,X137),X136)
| member(esk19_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk22_2(X136,X137),X136)
| member(esk19_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk23_2(X136,X137),X136)
| member(esk19_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( apply(X137,esk21_2(X136,X137),esk22_2(X136,X137))
| member(esk19_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( apply(X137,esk22_2(X136,X137),esk23_2(X136,X137))
| member(esk19_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( ~ apply(X137,esk21_2(X136,X137),esk23_2(X136,X137))
| member(esk19_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk21_2(X136,X137),X136)
| member(esk20_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk22_2(X136,X137),X136)
| member(esk20_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk23_2(X136,X137),X136)
| member(esk20_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( apply(X137,esk21_2(X136,X137),esk22_2(X136,X137))
| member(esk20_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( apply(X137,esk22_2(X136,X137),esk23_2(X136,X137))
| member(esk20_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( ~ apply(X137,esk21_2(X136,X137),esk23_2(X136,X137))
| member(esk20_2(X136,X137),X136)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk21_2(X136,X137),X136)
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk22_2(X136,X137),X136)
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk23_2(X136,X137),X136)
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( apply(X137,esk21_2(X136,X137),esk22_2(X136,X137))
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( apply(X137,esk22_2(X136,X137),esk23_2(X136,X137))
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( ~ apply(X137,esk21_2(X136,X137),esk23_2(X136,X137))
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk21_2(X136,X137),X136)
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk22_2(X136,X137),X136)
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk23_2(X136,X137),X136)
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( apply(X137,esk21_2(X136,X137),esk22_2(X136,X137))
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( apply(X137,esk22_2(X136,X137),esk23_2(X136,X137))
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( ~ apply(X137,esk21_2(X136,X137),esk23_2(X136,X137))
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk21_2(X136,X137),X136)
| esk19_2(X136,X137) != esk20_2(X136,X137)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk22_2(X136,X137),X136)
| esk19_2(X136,X137) != esk20_2(X136,X137)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk23_2(X136,X137),X136)
| esk19_2(X136,X137) != esk20_2(X136,X137)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( apply(X137,esk21_2(X136,X137),esk22_2(X136,X137))
| esk19_2(X136,X137) != esk20_2(X136,X137)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( apply(X137,esk22_2(X136,X137),esk23_2(X136,X137))
| esk19_2(X136,X137) != esk20_2(X136,X137)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( ~ apply(X137,esk21_2(X136,X137),esk23_2(X136,X137))
| esk19_2(X136,X137) != esk20_2(X136,X137)
| member(esk18_2(X136,X137),X136)
| epred1_2(X137,X136) )
& ( member(esk21_2(X136,X137),X136)
| member(esk19_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk22_2(X136,X137),X136)
| member(esk19_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk23_2(X136,X137),X136)
| member(esk19_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( apply(X137,esk21_2(X136,X137),esk22_2(X136,X137))
| member(esk19_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( apply(X137,esk22_2(X136,X137),esk23_2(X136,X137))
| member(esk19_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( ~ apply(X137,esk21_2(X136,X137),esk23_2(X136,X137))
| member(esk19_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk21_2(X136,X137),X136)
| member(esk20_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk22_2(X136,X137),X136)
| member(esk20_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk23_2(X136,X137),X136)
| member(esk20_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( apply(X137,esk21_2(X136,X137),esk22_2(X136,X137))
| member(esk20_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( apply(X137,esk22_2(X136,X137),esk23_2(X136,X137))
| member(esk20_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( ~ apply(X137,esk21_2(X136,X137),esk23_2(X136,X137))
| member(esk20_2(X136,X137),X136)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk21_2(X136,X137),X136)
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk22_2(X136,X137),X136)
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk23_2(X136,X137),X136)
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( apply(X137,esk21_2(X136,X137),esk22_2(X136,X137))
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( apply(X137,esk22_2(X136,X137),esk23_2(X136,X137))
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( ~ apply(X137,esk21_2(X136,X137),esk23_2(X136,X137))
| apply(X137,esk19_2(X136,X137),esk20_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk21_2(X136,X137),X136)
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk22_2(X136,X137),X136)
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk23_2(X136,X137),X136)
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( apply(X137,esk21_2(X136,X137),esk22_2(X136,X137))
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( apply(X137,esk22_2(X136,X137),esk23_2(X136,X137))
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( ~ apply(X137,esk21_2(X136,X137),esk23_2(X136,X137))
| apply(X137,esk20_2(X136,X137),esk19_2(X136,X137))
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk21_2(X136,X137),X136)
| esk19_2(X136,X137) != esk20_2(X136,X137)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk22_2(X136,X137),X136)
| esk19_2(X136,X137) != esk20_2(X136,X137)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( member(esk23_2(X136,X137),X136)
| esk19_2(X136,X137) != esk20_2(X136,X137)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( apply(X137,esk21_2(X136,X137),esk22_2(X136,X137))
| esk19_2(X136,X137) != esk20_2(X136,X137)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( apply(X137,esk22_2(X136,X137),esk23_2(X136,X137))
| esk19_2(X136,X137) != esk20_2(X136,X137)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) )
& ( ~ apply(X137,esk21_2(X136,X137),esk23_2(X136,X137))
| esk19_2(X136,X137) != esk20_2(X136,X137)
| ~ apply(X137,esk18_2(X136,X137),esk18_2(X136,X137))
| epred1_2(X137,X136) ) ),
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)],[c_0_30])])])])])]) ).
cnf(c_0_38,plain,
( epred1_2(X1,X2)
| ~ order(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
order(esk14_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_40,negated_conjecture,
esk6_3(esk14_0,unordered_pair(esk16_0,esk17_0),esk17_0) = esk17_0,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_26]),c_0_27])]),c_0_36]) ).
cnf(c_0_41,plain,
( apply(X3,X1,X1)
| ~ member(X1,X2)
| ~ epred1_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
epred1_2(esk14_0,esk15_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( upper_bound(esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0),esk14_0,unordered_pair(esk16_0,esk17_0))
| ~ apply(esk14_0,esk17_0,esk17_0) ),
inference(rw,[status(thm)],[c_0_25,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( apply(esk14_0,X1,X1)
| ~ member(X1,esk15_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
member(esk17_0,esk15_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_46,negated_conjecture,
upper_bound(esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0),esk14_0,unordered_pair(esk16_0,esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_47,negated_conjecture,
( apply(esk14_0,X1,esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0))
| ~ member(X1,unordered_pair(esk16_0,esk17_0)) ),
inference(spm,[status(thm)],[c_0_16,c_0_46]) ).
cnf(c_0_48,negated_conjecture,
apply(esk14_0,esk17_0,esk12_4(esk17_0,unordered_pair(esk16_0,esk17_0),esk14_0,esk15_0)),
inference(spm,[status(thm)],[c_0_47,c_0_12]) ).
cnf(c_0_49,negated_conjecture,
~ upper_bound(esk17_0,esk14_0,unordered_pair(esk16_0,esk17_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_48])]) ).
cnf(c_0_50,negated_conjecture,
~ apply(esk14_0,esk17_0,esk17_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_22]),c_0_40]) ).
cnf(c_0_51,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_44]),c_0_45])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET795+4 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.36 % Computer : n010.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Sun Jul 10 05:32:47 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.47 # ENIGMATIC: Selected SinE mode:
% 0.21/0.48 # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.48 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.48 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 9.10/2.64 # ENIGMATIC: Solved by autoschedule:
% 9.10/2.64 # No SInE strategy applied
% 9.10/2.64 # Trying AutoSched0 for 150 seconds
% 9.10/2.64 # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S024I
% 9.10/2.64 # and selection function SelectOptimalRestrPDepth2.
% 9.10/2.64 #
% 9.10/2.64 # Preprocessing time : 0.033 s
% 9.10/2.64 # Presaturation interreduction done
% 9.10/2.64
% 9.10/2.64 # Proof found!
% 9.10/2.64 # SZS status Theorem
% 9.10/2.64 # SZS output start CNFRefutation
% See solution above
% 9.10/2.64 # Training examples: 0 positive, 0 negative
% 9.10/2.64
% 9.10/2.64 # -------------------------------------------------
% 9.10/2.64 # User time : 0.117 s
% 9.10/2.64 # System time : 0.013 s
% 9.10/2.64 # Total time : 0.130 s
% 9.10/2.64 # Maximum resident set size: 7120 pages
% 9.10/2.64
%------------------------------------------------------------------------------