TSTP Solution File: ALG210+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG210+2 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 : Thu Jul 14 18:00:11 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 22 unt; 0 nHn; 15 RR)
% Number of literals : 29 ( 22 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
times(times(X,Y),Z) = times(Y,times(Z,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
cnf(2,axiom,
( ~ element(X)
| times(X,'SKOLEMAAAV1'(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(3,axiom,
( ~ element(X)
| times(X,X) = 'SKOLEMAAAV1'(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(4,axiom,
( element(X)
| times(X,Y) != X
| times(X,X) != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(5,negated_conjecture,
element('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
cnf(6,negated_conjecture,
element('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
cnf(7,negated_conjecture,
'SKOLEMAAAV4' = times('SKOLEMAAAV2','SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
cnf(8,negated_conjecture,
~ element('SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
cnf(9,plain,
times('SKOLEMAAAV3','SKOLEMAAAV3') = 'SKOLEMAAAV1'('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[3,6]) ).
cnf(10,plain,
times('SKOLEMAAAV2','SKOLEMAAAV2') = 'SKOLEMAAAV1'('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[3,5]) ).
cnf(11,plain,
times('SKOLEMAAAV3',times('SKOLEMAAAV3','SKOLEMAAAV3')) = 'SKOLEMAAAV3',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,6]),9,theory(equality)]) ).
cnf(12,plain,
times('SKOLEMAAAV2',times('SKOLEMAAAV2','SKOLEMAAAV2')) = 'SKOLEMAAAV2',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,5]),10,theory(equality)]) ).
cnf(13,plain,
times('SKOLEMAAAV4',X) = times('SKOLEMAAAV3',times(X,'SKOLEMAAAV2')),
inference('PARAMODULATE',[status(thm)],[1,7,theory(equality)]) ).
cnf(14,plain,
times(times('SKOLEMAAAV3',X),'SKOLEMAAAV2') = times(X,'SKOLEMAAAV4'),
inference('PARAMODULATE',[status(thm)],[1,7,theory(equality)]) ).
cnf(16,plain,
times(times(X,Y),times(Z,U)) = times(Y,times(U,times(X,Z))),
inference('PARAMODULATE',[status(thm)],[1,1,theory(equality)]) ).
cnf(18,plain,
times(times(times(X,Y),Z),U) = times(times(Z,X),times(U,Y)),
inference('PARAMODULATE',[status(thm)],[1,1,theory(equality)]) ).
cnf(21,plain,
times('SKOLEMAAAV4',times('SKOLEMAAAV4','SKOLEMAAAV4')) != 'SKOLEMAAAV4',
inference('UR-RESOLVE',[status(thm)],[4,8,theory(equality)]) ).
cnf(24,plain,
times(times('SKOLEMAAAV3','SKOLEMAAAV3'),'SKOLEMAAAV3') = 'SKOLEMAAAV3',
inference('PARAMODULATE',[status(thm)],[1,11,theory(equality)]) ).
cnf(29,plain,
times(times(X,'SKOLEMAAAV2'),times('SKOLEMAAAV2','SKOLEMAAAV2')) = times(X,'SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1,12,theory(equality)]),18,theory(equality)]) ).
cnf(31,plain,
times(times('SKOLEMAAAV3',X),times('SKOLEMAAAV3','SKOLEMAAAV3')) = times(X,'SKOLEMAAAV3'),
inference('PARAMODULATE',[status(thm)],[1,24,theory(equality)]) ).
cnf(38,plain,
times(times('SKOLEMAAAV4',X),Y) = times(times(X,'SKOLEMAAAV2'),times(Y,'SKOLEMAAAV3')),
inference('PARAMODULATE',[status(thm)],[1,13,theory(equality)]) ).
cnf(43,plain,
times(times('SKOLEMAAAV2',X),times('SKOLEMAAAV3',Y)) = times(X,times(Y,'SKOLEMAAAV4')),
inference('PARAMODULATE',[status(thm)],[1,14,theory(equality)]) ).
cnf(44,plain,
times(times('SKOLEMAAAV2','SKOLEMAAAV4'),times('SKOLEMAAAV3','SKOLEMAAAV4')) != 'SKOLEMAAAV4',
inference('REWRITE',[status(thm)],[21,43,theory(equality)]) ).
cnf(45,plain,
times(times(X,'SKOLEMAAAV4'),Y) = times(times('SKOLEMAAAV3','SKOLEMAAAV2'),times(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1,14,theory(equality)]),16,theory(equality)]) ).
cnf(47,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[44,1,theory(equality)]),7,31,29,45,38,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG210+2 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 22:43:17 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T22:43:17
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-08T22:43:17
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 85 formulas have been input or derived (from 21 formulas).
% 0.19/0.50 ; 47 (55%) were retained. Of these,
% 0.19/0.50 ; 3 ( 6%) were simplified or subsumed later,
% 0.19/0.50 ; 44 (94%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.001 2% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (3 calls)
% 0.19/0.50 ; 0.007 18% Process new row (82 calls)
% 0.19/0.50 ; 0.000 0% Resolution (40 calls)
% 0.19/0.50 ; 0.001 2% Paramodulation (20 calls)
% 0.19/0.50 ; 0.000 0% Condensing (10 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (10 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (8 calls)
% 0.19/0.50 ; 0.001 2% Clause clause subsumption (11 calls)
% 0.19/0.50 ; 0.003 8% Forward simplification (82 calls)
% 0.19/0.50 ; 0.001 2% Backward simplification (47 calls)
% 0.19/0.50 ; 0.004 10% Ordering (339 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.022 55% Other
% 0.19/0.50 ; 0.040 Total
% 0.19/0.50 ; 0.044 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 137 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 8 entries (8 at peak, 8 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 51 nodes (51 at peak, 51 added, 0 deleted).
% 0.19/0.50 ; Retrieved 11 possibly forward subsuming rows in 10 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 8 calls.
% 0.19/0.50 ; Path-index has 133 entries (133 at peak, 140 added, 7 deleted).
% 0.19/0.50 ; Path-index has 141 nodes (141 at peak, 143 added, 2 deleted).
% 0.19/0.50 ; Trie-index has 133 entries (133 at peak, 140 added, 7 deleted).
% 0.19/0.50 ; Trie-index has 373 nodes (373 at peak, 393 added, 20 deleted).
% 0.19/0.50 ; Retrieved 208 generalization terms in 345 calls.
% 0.19/0.50 ; Retrieved 68 instance terms in 58 calls.
% 0.19/0.50 ; Retrieved 411 unifiable terms in 136 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 1 entry:
% 0.19/0.50 ; 1 with value 15
% 0.19/0.50 ; The agenda of rows to give has 25 entries:
% 0.19/0.50 ; 2 with value (4 14) 4 with value (4 17) 1 with value (4 23)
% 0.19/0.50 ; 1 with value (4 15) 4 with value (4 18) 1 with value (4 29)
% 0.19/0.50 ; 6 with value (4 16) 5 with value (4 20) 1 with value (4 31)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.045 seconds of real time
% 0.19/0.50 0.032286 seconds of user run time
% 0.19/0.50 0.012139 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 3,750,416 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T22:43:17
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------