TSTP Solution File: NUN073+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n024.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 : Mon Jul 18 16:24:56 EDT 2022
% Result : Theorem 8.85s 3.34s
% Output : CNFRefutation 8.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 16 unt; 0 def)
% Number of atoms : 92 ( 36 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 109 ( 52 ~; 42 |; 15 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 49 ( 2 sgn 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(oneuneqtwo,conjecture,
! [X39] :
( ! [X22] :
( ! [X16] :
( ~ r1(X16)
| ~ r2(X16,X22) )
| X22 != X39 )
| ! [X23] :
( ! [X17] :
( ~ r1(X17)
| ~ r2(X17,X23) )
| ~ r2(X23,X39) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',oneuneqtwo) ).
fof(axiom_1,axiom,
? [X1] :
! [X2] :
( ( ~ r1(X2)
& X2 != X1 )
| ( r1(X2)
& X2 = X1 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
fof(axiom_2,axiom,
! [X3] :
? [X4] :
! [X5] :
( ( ~ r2(X3,X5)
& X5 != X4 )
| ( r2(X3,X5)
& X5 = X4 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
fof(axiom_3a,axiom,
! [X26,X27] :
( ! [X28] :
( ! [X29] :
( ~ r2(X26,X29)
| X29 != X28 )
| ~ r2(X27,X28) )
| X26 = X27 ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3a) ).
fof(axiom_7a,axiom,
! [X41,X42] :
( ! [X43] :
( ~ r1(X43)
| X43 != X42 )
| ~ r2(X41,X42) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).
fof(c_0_5,negated_conjecture,
~ ! [X39] :
( ! [X22] :
( ! [X16] :
( ~ r1(X16)
| ~ r2(X16,X22) )
| X22 != X39 )
| ! [X23] :
( ! [X17] :
( ~ r1(X17)
| ~ r2(X17,X23) )
| ~ r2(X23,X39) ) ),
inference(assume_negation,[status(cth)],[oneuneqtwo]) ).
fof(c_0_6,plain,
! [X45] :
( ( r1(X45)
| ~ r1(X45) )
& ( X45 = esk1_0
| ~ r1(X45) )
& ( r1(X45)
| X45 != esk1_0 )
& ( X45 = esk1_0
| X45 != esk1_0 ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])]) ).
fof(c_0_7,negated_conjecture,
( r1(esk23_0)
& r2(esk23_0,esk22_0)
& esk22_0 = esk21_0
& r1(esk25_0)
& r2(esk25_0,esk24_0)
& r2(esk24_0,esk21_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])])])]) ).
cnf(c_0_8,plain,
( X1 = esk1_0
| ~ r1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
r1(esk25_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X46,X48] :
( ( r2(X46,X48)
| ~ r2(X46,X48) )
& ( X48 = esk2_1(X46)
| ~ r2(X46,X48) )
& ( r2(X46,X48)
| X48 != esk2_1(X46) )
& ( X48 = esk2_1(X46)
| X48 != esk2_1(X46) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_2])])])]) ).
cnf(c_0_11,negated_conjecture,
esk1_0 = esk25_0,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
r2(esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
esk22_0 = esk21_0,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_14,plain,
! [X69,X70,X71,X72] :
( ~ r2(X69,X72)
| X72 != X71
| ~ r2(X70,X71)
| X69 = X70 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_3a])])]) ).
cnf(c_0_15,plain,
( X1 = esk2_1(X2)
| ~ r2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
r2(esk25_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,plain,
( X1 = esk25_0
| ~ r1(X1) ),
inference(rw,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_18,negated_conjecture,
r1(esk23_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_19,negated_conjecture,
r2(esk23_0,esk21_0),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_20,plain,
( X1 = X4
| ~ r2(X1,X2)
| X2 != X3
| ~ r2(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
esk2_1(esk25_0) = esk24_0,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_22,negated_conjecture,
esk25_0 = esk23_0,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
esk2_1(esk23_0) = esk21_0,
inference(spm,[status(thm)],[c_0_15,c_0_19]) ).
fof(c_0_24,plain,
! [X84,X85,X86] :
( ~ r1(X86)
| X86 != X85
| ~ r2(X84,X85) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_7a])])]) ).
cnf(c_0_25,plain,
( X1 = X2
| ~ r2(X2,X3)
| ~ r2(X1,X3) ),
inference(er,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
r2(esk24_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_27,negated_conjecture,
esk24_0 = esk21_0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_28,plain,
( ~ r1(X1)
| X1 != X2
| ~ r2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( X1 = esk23_0
| ~ r2(X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_19]) ).
cnf(c_0_30,negated_conjecture,
r2(esk21_0,esk21_0),
inference(rw,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
( ~ r2(X1,X2)
| ~ r1(X2) ),
inference(er,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
esk23_0 = esk21_0,
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_33,negated_conjecture,
~ r1(esk21_0),
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_32]),c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NUN073+2 : TPTP v8.1.0. Released v7.3.0.
% 0.09/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.30 % Computer : n024.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Thu Jun 2 06:35:08 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.15/0.40 # ENIGMATIC: Selected SinE mode:
% 0.15/0.41 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.15/0.41 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.15/0.41 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 8.85/3.34 # ENIGMATIC: Solved by autoschedule:
% 8.85/3.34 # No SInE strategy applied
% 8.85/3.34 # Trying AutoSched0 for 150 seconds
% 8.85/3.34 # AutoSched0-Mode selected heuristic G_E___200_B02_F1_SE_CS_SP_PI_S0S
% 8.85/3.34 # and selection function SelectComplexG.
% 8.85/3.34 #
% 8.85/3.34 # Preprocessing time : 0.023 s
% 8.85/3.34
% 8.85/3.34 # Proof found!
% 8.85/3.34 # SZS status Theorem
% 8.85/3.34 # SZS output start CNFRefutation
% See solution above
% 8.85/3.34 # Training examples: 0 positive, 0 negative
% 8.85/3.34
% 8.85/3.34 # -------------------------------------------------
% 8.85/3.34 # User time : 0.028 s
% 8.85/3.34 # System time : 0.004 s
% 8.85/3.34 # Total time : 0.032 s
% 8.85/3.34 # Maximum resident set size: 7120 pages
% 8.85/3.34
%------------------------------------------------------------------------------