TSTP Solution File: SWV403+1 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SWV403+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 : Wed Jul 20 17:47:07 EDT 2022
% Result : Theorem 8.61s 2.52s
% Output : CNFRefutation 8.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 7 unt; 0 def)
% Number of atoms : 111 ( 25 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 110 ( 40 ~; 46 |; 14 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 97 ( 6 sgn 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l39_co,conjecture,
! [X1] :
( ! [X2,X3,X4] :
( ( pair_in_list(X1,X2,X3)
& strictly_less_than(X3,X4) )
=> pair_in_list(update_slb(X1,X4),X2,X4) )
=> ! [X5,X6,X7,X8,X9] :
( ( pair_in_list(insert_slb(X1,pair(X8,X9)),X5,X6)
& strictly_less_than(X6,X7) )
=> pair_in_list(update_slb(insert_slb(X1,pair(X8,X9)),X7),X5,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l39_co) ).
fof(ax29,axiom,
! [X1,X2,X3,X4] :
( strictly_less_than(X4,X3)
=> update_slb(insert_slb(X1,pair(X2,X4)),X3) = insert_slb(update_slb(X1,X3),pair(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax29) ).
fof(ax23,axiom,
! [X1,X2,X3,X4,X5] :
( pair_in_list(insert_slb(X1,pair(X2,X4)),X3,X5)
<=> ( pair_in_list(X1,X3,X5)
| ( X2 = X3
& X4 = X5 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax23) ).
fof(ax30,axiom,
! [X1,X2,X3,X4] :
( less_than(X3,X4)
=> update_slb(insert_slb(X1,pair(X2,X4)),X3) = insert_slb(update_slb(X1,X3),pair(X2,X4)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+2.ax',ax30) ).
fof(stricly_smaller_definition,axiom,
! [X1,X2] :
( strictly_less_than(X1,X2)
<=> ( less_than(X1,X2)
& ~ less_than(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',stricly_smaller_definition) ).
fof(totality,axiom,
! [X1,X2] :
( less_than(X1,X2)
| less_than(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV007+0.ax',totality) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ! [X2,X3,X4] :
( ( pair_in_list(X1,X2,X3)
& strictly_less_than(X3,X4) )
=> pair_in_list(update_slb(X1,X4),X2,X4) )
=> ! [X5,X6,X7,X8,X9] :
( ( pair_in_list(insert_slb(X1,pair(X8,X9)),X5,X6)
& strictly_less_than(X6,X7) )
=> pair_in_list(update_slb(insert_slb(X1,pair(X8,X9)),X7),X5,X7) ) ),
inference(assume_negation,[status(cth)],[l39_co]) ).
fof(c_0_7,negated_conjecture,
! [X58,X59,X60] :
( ( ~ pair_in_list(esk1_0,X58,X59)
| ~ strictly_less_than(X59,X60)
| pair_in_list(update_slb(esk1_0,X60),X58,X60) )
& pair_in_list(insert_slb(esk1_0,pair(esk5_0,esk6_0)),esk2_0,esk3_0)
& strictly_less_than(esk3_0,esk4_0)
& ~ pair_in_list(update_slb(insert_slb(esk1_0,pair(esk5_0,esk6_0)),esk4_0),esk2_0,esk4_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_8,plain,
! [X49,X50,X51,X52] :
( ~ strictly_less_than(X52,X51)
| update_slb(insert_slb(X49,pair(X50,X52)),X51) = insert_slb(update_slb(X49,X51),pair(X50,X51)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax29])]) ).
fof(c_0_9,plain,
! [X29,X30,X31,X32,X33] :
( ( X30 = X31
| pair_in_list(X29,X31,X33)
| ~ pair_in_list(insert_slb(X29,pair(X30,X32)),X31,X33) )
& ( X32 = X33
| pair_in_list(X29,X31,X33)
| ~ pair_in_list(insert_slb(X29,pair(X30,X32)),X31,X33) )
& ( ~ pair_in_list(X29,X31,X33)
| pair_in_list(insert_slb(X29,pair(X30,X32)),X31,X33) )
& ( X30 != X31
| X32 != X33
| pair_in_list(insert_slb(X29,pair(X30,X32)),X31,X33) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax23])])]) ).
fof(c_0_10,plain,
! [X53,X54,X55,X56] :
( ~ less_than(X55,X56)
| update_slb(insert_slb(X53,pair(X54,X56)),X55) = insert_slb(update_slb(X53,X55),pair(X54,X56)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])]) ).
cnf(c_0_11,negated_conjecture,
~ pair_in_list(update_slb(insert_slb(esk1_0,pair(esk5_0,esk6_0)),esk4_0),esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( update_slb(insert_slb(X3,pair(X4,X1)),X2) = insert_slb(update_slb(X3,X2),pair(X4,X2))
| ~ strictly_less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( X1 = X2
| pair_in_list(X3,X4,X2)
| ~ pair_in_list(insert_slb(X3,pair(X5,X1)),X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,negated_conjecture,
pair_in_list(insert_slb(esk1_0,pair(esk5_0,esk6_0)),esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,plain,
( update_slb(insert_slb(X3,pair(X4,X2)),X1) = insert_slb(update_slb(X3,X1),pair(X4,X2))
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( X1 = X2
| pair_in_list(X3,X2,X4)
| ~ pair_in_list(insert_slb(X3,pair(X1,X5)),X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( ~ pair_in_list(insert_slb(update_slb(esk1_0,esk4_0),pair(esk5_0,esk4_0)),esk2_0,esk4_0)
| ~ strictly_less_than(esk6_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_18,plain,
( pair_in_list(insert_slb(X1,pair(X4,X5)),X2,X3)
| ~ pair_in_list(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,negated_conjecture,
( pair_in_list(update_slb(esk1_0,X3),X1,X3)
| ~ pair_in_list(esk1_0,X1,X2)
| ~ strictly_less_than(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_20,negated_conjecture,
( esk6_0 = esk3_0
| pair_in_list(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
fof(c_0_21,plain,
! [X16,X17] :
( ( less_than(X16,X17)
| ~ strictly_less_than(X16,X17) )
& ( ~ less_than(X17,X16)
| ~ strictly_less_than(X16,X17) )
& ( ~ less_than(X16,X17)
| less_than(X17,X16)
| strictly_less_than(X16,X17) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[stricly_smaller_definition])])])]) ).
fof(c_0_22,plain,
! [X13,X14] :
( less_than(X13,X14)
| less_than(X14,X13) ),
inference(variable_rename,[status(thm)],[totality]) ).
cnf(c_0_23,negated_conjecture,
( ~ pair_in_list(insert_slb(update_slb(esk1_0,esk4_0),pair(esk5_0,esk6_0)),esk2_0,esk4_0)
| ~ less_than(esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_11,c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( esk2_0 = esk5_0
| pair_in_list(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_25,negated_conjecture,
( ~ pair_in_list(update_slb(esk1_0,esk4_0),esk2_0,esk4_0)
| ~ strictly_less_than(esk6_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
( esk6_0 = esk3_0
| pair_in_list(update_slb(esk1_0,X1),esk2_0,X1)
| ~ strictly_less_than(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_27,negated_conjecture,
strictly_less_than(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_28,plain,
( less_than(X2,X1)
| strictly_less_than(X1,X2)
| ~ less_than(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( less_than(X1,X2)
| less_than(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( ~ pair_in_list(update_slb(esk1_0,esk4_0),esk2_0,esk4_0)
| ~ less_than(esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_31,negated_conjecture,
( esk2_0 = esk5_0
| pair_in_list(update_slb(esk1_0,X1),esk2_0,X1)
| ~ strictly_less_than(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_24]) ).
cnf(c_0_32,negated_conjecture,
( esk6_0 = esk3_0
| ~ strictly_less_than(esk6_0,esk4_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_33,plain,
( strictly_less_than(X1,X2)
| less_than(X2,X1) ),
inference(csr,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( esk6_0 = esk3_0
| ~ less_than(esk4_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_27])]) ).
cnf(c_0_35,negated_conjecture,
( esk2_0 = esk5_0
| ~ strictly_less_than(esk6_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_31]),c_0_27])]) ).
cnf(c_0_36,negated_conjecture,
esk6_0 = esk3_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).
cnf(c_0_37,plain,
( pair_in_list(insert_slb(X5,pair(X1,X3)),X2,X4)
| X1 != X2
| X3 != X4 ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_38,negated_conjecture,
esk2_0 = esk5_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_27])]) ).
cnf(c_0_39,plain,
pair_in_list(insert_slb(X1,pair(X2,X3)),X2,X3),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_37])]) ).
cnf(c_0_40,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_36]),c_0_27])]),c_0_38]),c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV403+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : enigmatic-eprover.py %s %d 1
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 20:06:11 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.45 # ENIGMATIC: Selected SinE mode:
% 0.21/0.46 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.21/0.46 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.21/0.46 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.61/2.52 # ENIGMATIC: Solved by autoschedule:
% 8.61/2.52 # No SInE strategy applied
% 8.61/2.52 # Trying AutoSched0 for 150 seconds
% 8.61/2.52 # AutoSched0-Mode selected heuristic G_E___012_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 8.61/2.52 # and selection function SelectMaxLComplexAvoidPosPred.
% 8.61/2.52 #
% 8.61/2.52 # Preprocessing time : 0.014 s
% 8.61/2.52 # Presaturation interreduction done
% 8.61/2.52
% 8.61/2.52 # Proof found!
% 8.61/2.52 # SZS status Theorem
% 8.61/2.52 # SZS output start CNFRefutation
% See solution above
% 8.61/2.52 # Training examples: 0 positive, 0 negative
% 8.61/2.52
% 8.61/2.52 # -------------------------------------------------
% 8.61/2.52 # User time : 0.015 s
% 8.61/2.52 # System time : 0.007 s
% 8.61/2.52 # Total time : 0.022 s
% 8.61/2.52 # Maximum resident set size: 7124 pages
% 8.61/2.52
%------------------------------------------------------------------------------