TSTP Solution File: NUN082+2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN082+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 16:38:19 EDT 2022
% Result : Theorem 0.15s 0.43s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of clauses : 43 ( 34 unt; 0 nHn; 11 RR)
% Number of literals : 55 ( 22 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-2 aty)
% Number of variables : 66 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ r1(X)
| X = 'SKOLEMAAAO1' ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
cnf(3,axiom,
( ~ r2(X,Y)
| Y = 'SKOLEMAAAO2'(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
cnf(5,axiom,
( ~ r3(X,Y,Z)
| Z = 'SKOLEMAAAO3'(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
cnf(7,axiom,
( ~ r4(X,Y,Z)
| Z = 'SKOLEMAAAO4'(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
cnf(8,axiom,
( X != 'SKOLEMAAAO4'(Y,Z)
| r4(Y,Z,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4) ).
cnf(14,axiom,
r2(X,'SKOLEMAAAO11'(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(15,axiom,
r4(X,'SKOLEMAAAO11'(Y,X),'SKOLEMAAAO10'(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(16,axiom,
'SKOLEMAAAO10'(X,Y) = 'SKOLEMAAAO9'(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(17,axiom,
r3('SKOLEMAAAO12'(X,Y),X,'SKOLEMAAAO9'(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(18,plain,
r3('SKOLEMAAAO12'(X,Y),X,'SKOLEMAAAO10'(Y,X)),
inference('REWRITE',[status(thm)],[17,16,theory(equality)]) ).
cnf(19,axiom,
r4(X,Y,'SKOLEMAAAO12'(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(21,axiom,
r1('SKOLEMAAAO14'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(22,axiom,
r3(X,'SKOLEMAAAO14'(X),'SKOLEMAAAO13'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(23,axiom,
'SKOLEMAAAO13'(X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(24,axiom,
r1('SKOLEMAAAO16'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(25,axiom,
r4(X,'SKOLEMAAAO16'(X),'SKOLEMAAAO15'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(26,axiom,
r1('SKOLEMAAAO17'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(27,axiom,
'SKOLEMAAAO15'(X) = 'SKOLEMAAAO17'(X),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(33,negated_conjecture,
( ~ r4(X,Y,Z)
| ~ r1(U)
| ~ r2(U,Y)
| ~ r1(V)
| Z != V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xtimesoneeqzero) ).
cnf(34,plain,
r1('SKOLEMAAAO15'(X)),
inference('REWRITE',[status(thm)],[26,27,theory(equality)]) ).
cnf(35,plain,
r3(X,'SKOLEMAAAO14'(X),X),
inference('REWRITE',[status(thm)],[22,23,theory(equality)]) ).
cnf(37,plain,
'SKOLEMAAAO16'(X) = 'SKOLEMAAAO1',
inference('HYPERRESOLVE',[status(thm)],[1,24]) ).
cnf(38,plain,
r1('SKOLEMAAAO1'),
inference('REWRITE',[status(thm)],[24,37,theory(equality)]) ).
cnf(39,plain,
r4(X,'SKOLEMAAAO1','SKOLEMAAAO15'(X)),
inference('REWRITE',[status(thm)],[25,37,theory(equality)]) ).
cnf(40,plain,
'SKOLEMAAAO15'(X) = 'SKOLEMAAAO1',
inference('HYPERRESOLVE',[status(thm)],[1,34]) ).
cnf(42,plain,
r4(X,'SKOLEMAAAO1','SKOLEMAAAO1'),
inference('REWRITE',[status(thm)],[39,40,theory(equality)]) ).
cnf(43,plain,
'SKOLEMAAAO14'(X) = 'SKOLEMAAAO1',
inference('HYPERRESOLVE',[status(thm)],[1,21]) ).
cnf(44,plain,
r3(X,'SKOLEMAAAO1',X),
inference('REWRITE',[status(thm)],[35,43,theory(equality)]) ).
cnf(45,plain,
'SKOLEMAAAO11'(X,Y) = 'SKOLEMAAAO2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(46,plain,
r4(X,'SKOLEMAAAO2'(Y),'SKOLEMAAAO10'(Y,X)),
inference('REWRITE',[status(thm)],[15,45,theory(equality)]) ).
cnf(47,plain,
r2(X,'SKOLEMAAAO2'(X)),
inference('REWRITE',[status(thm)],[14,45,theory(equality)]) ).
cnf(57,plain,
X = 'SKOLEMAAAO3'(X,'SKOLEMAAAO1'),
inference('HYPERRESOLVE',[status(thm)],[5,44]) ).
cnf(66,plain,
'SKOLEMAAAO1' = 'SKOLEMAAAO4'(X,'SKOLEMAAAO1'),
inference('HYPERRESOLVE',[status(thm)],[7,42]) ).
cnf(67,plain,
'SKOLEMAAAO12'(X,Y) = 'SKOLEMAAAO4'(X,Y),
inference('HYPERRESOLVE',[status(thm)],[7,19]) ).
cnf(68,plain,
( X != 'SKOLEMAAAO12'(Y,Z)
| r4(Y,Z,X) ),
inference('REWRITE',[status(thm)],[8,67,theory(equality)]) ).
cnf(69,plain,
( ~ r4(X,Y,Z)
| Z = 'SKOLEMAAAO12'(X,Y) ),
inference('REWRITE',[status(thm)],[7,67,theory(equality)]) ).
cnf(70,plain,
'SKOLEMAAAO1' = 'SKOLEMAAAO12'(X,'SKOLEMAAAO1'),
inference('REWRITE',[status(thm)],[66,67,theory(equality)]) ).
cnf(89,plain,
'SKOLEMAAAO10'('SKOLEMAAAO1',X) != 'SKOLEMAAAO1',
inference('UR-RESOLVE',[status(thm)],[33,46,38,47,38]) ).
cnf(95,plain,
r3('SKOLEMAAAO1',X,'SKOLEMAAAO10'('SKOLEMAAAO1',X)),
inference('PARAMODULATE',[status(thm)],[18,70,theory(equality)]) ).
cnf(96,plain,
( X != 'SKOLEMAAAO1'
| r4(Y,'SKOLEMAAAO1',X) ),
inference('PARAMODULATE',[status(thm)],[68,70,theory(equality)]) ).
cnf(100,plain,
'SKOLEMAAAO10'('SKOLEMAAAO1',X) = 'SKOLEMAAAO3'('SKOLEMAAAO1',X),
inference('HYPERRESOLVE',[status(thm)],[5,95]) ).
cnf(106,plain,
r4(X,'SKOLEMAAAO1','SKOLEMAAAO10'('SKOLEMAAAO1','SKOLEMAAAO1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[96,57]),100,theory(equality)]) ).
cnf(107,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,106]),89,70,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUN082+2 : TPTP v8.1.0. Released v7.3.0.
% 0.00/0.11 % Command : run-snark %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Thu Jun 2 04:49:00 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.38 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 *
% 0.15/0.38 *
% 0.15/0.39 #<PACKAGE "SNARK-USER">
% 0.15/0.39 *
% 0.15/0.39 SNARK-TPTP-OPTIONS
% 0.15/0.39 *
% 0.15/0.39 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.39 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.39 (USE-FACTORING :POS)
% 0.15/0.39 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.39 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.39 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.39 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.39 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.39 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.39 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.39 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.39 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.39 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.39 *
% 0.15/0.39 "."
% 0.15/0.39 *
% 0.15/0.39 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T04:49:00
% 0.15/0.39 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-02T04:49:00
% 0.15/0.40
% 0.15/0.43 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAO12 ?X ?Y)).
% 0.15/0.43
% 0.15/0.43 #||
% 0.15/0.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.43 % SZS output start Refutation
% See solution above
% 0.15/0.43 ||#
% 0.15/0.43
% 0.15/0.43 ; Summary of computation:
% 0.15/0.43 ; 409 formulas have been input or derived (from 65 formulas).
% 0.15/0.43 ; 107 (26%) were retained. Of these,
% 0.15/0.43 ; 30 (28%) were simplified or subsumed later,
% 0.15/0.43 ; 77 (72%) are still being kept.
% 0.15/0.43 ;
% 0.15/0.43 ; Run time in seconds excluding printing time:
% 0.15/0.43 ; 0.003 8% Read assertion file (1 call)
% 0.15/0.43 ; 0.001 3% Assert (12 calls)
% 0.15/0.43 ; 0.005 13% Process new row (345 calls)
% 0.15/0.43 ; 0.006 16% Resolution (128 calls)
% 0.15/0.43 ; 0.001 3% Paramodulation (64 calls)
% 0.15/0.43 ; 0.000 0% Factoring (4 calls)
% 0.15/0.43 ; 0.001 3% Condensing (45 calls)
% 0.15/0.43 ; 0.000 0% Forward subsumption (45 calls)
% 0.15/0.43 ; 0.001 3% Backward subsumption (36 calls)
% 0.15/0.43 ; 0.000 0% Clause clause subsumption (29 calls)
% 0.15/0.43 ; 0.004 11% Forward simplification (338 calls)
% 0.15/0.43 ; 0.000 0% Backward simplification (106 calls)
% 0.15/0.43 ; 0.000 0% Ordering (163 calls)
% 0.15/0.43 ; 0.000 0% Sortal reasoning (32 calls)
% 0.15/0.43 ; 0.000 0% Purity testing (1 call)
% 0.15/0.43 ; 0.016 42% Other
% 0.15/0.43 ; 0.038 Total
% 0.15/0.43 ; 0.041 Real time
% 0.15/0.43 ;
% 0.15/0.43 ; Term-hash-array has 179 terms in all.
% 0.15/0.43 ; Feature-vector-row-index has 30 entries (30 at peak, 36 added, 6 deleted).
% 0.15/0.43 ; Feature-vector-row-index has 91 nodes (91 at peak, 113 added, 22 deleted).
% 0.15/0.43 ; Retrieved 65 possibly forward subsuming rows in 45 calls.
% 0.15/0.43 ; Retrieved 8 possibly backward subsumed rows in 36 calls.
% 0.15/0.43 ; Path-index has 143 entries (143 at peak, 188 added, 45 deleted).
% 0.15/0.43 ; Path-index has 429 nodes (429 at peak, 489 added, 60 deleted).
% 0.15/0.43 ; Trie-index has 143 entries (143 at peak, 188 added, 45 deleted).
% 0.15/0.43 ; Trie-index has 374 nodes (374 at peak, 488 added, 114 deleted).
% 0.15/0.43 ; Retrieved 439 generalization terms in 910 calls.
% 0.15/0.43 ; Retrieved 76 instance terms in 69 calls.
% 0.15/0.43 ; Retrieved 3,352 unifiable terms in 1,016 calls.
% 0.15/0.43 ;
% 0.15/0.43 ; The agenda of rows to give has 22 entries:
% 0.15/0.43 ; 4 with value (4 12) 2 with value (4 15) 2 with value (4 22)
% 0.15/0.43 ; 5 with value (4 13) 4 with value (4 16) 1 with value (4 24)
% 0.15/0.43 ; 1 with value (4 14) 2 with value (4 18) 1 with value (4 25)
% 0.15/0.43 Evaluation took:
% 0.15/0.43 0.042 seconds of real time
% 0.15/0.43 0.0342 seconds of user run time
% 0.15/0.43 0.007139 seconds of system run time
% 0.15/0.43 0 calls to %EVAL
% 0.15/0.43 0 page faults and
% 0.15/0.43 5,539,752 bytes consed.
% 0.15/0.43 :PROOF-FOUND
% 0.15/0.43 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T04:49:00
% 0.15/0.43 :PROOF-FOUND
% 0.15/0.43 *
%------------------------------------------------------------------------------