TSTP Solution File: ALG029+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 17:59:40 EDT 2022
% Result : Theorem 0.37s 0.54s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 13 unt; 0 nHn; 17 RR)
% Number of literals : 23 ( 11 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ sorti1(X)
| ~ sorti1(Y)
| op1(X,Y) = op1(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
cnf(4,axiom,
sorti2('SKOLEMAAAW1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(5,axiom,
sorti2('SKOLEMAAAW2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(6,axiom,
op2('SKOLEMAAAW1','SKOLEMAAAW2') != op2('SKOLEMAAAW2','SKOLEMAAAW1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
cnf(8,negated_conjecture,
( ~ sorti2(X)
| sorti1(j(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(9,negated_conjecture,
( ~ sorti1(X)
| ~ sorti1(Y)
| h(op1(X,Y)) = op2(h(X),h(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(11,negated_conjecture,
( ~ sorti2(X)
| h(j(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
cnf(13,plain,
sorti1(j('SKOLEMAAAW2')),
inference('HYPERRESOLVE',[status(thm)],[8,5]) ).
cnf(14,plain,
sorti1(j('SKOLEMAAAW1')),
inference('HYPERRESOLVE',[status(thm)],[8,4]) ).
cnf(15,plain,
h(j('SKOLEMAAAW2')) = 'SKOLEMAAAW2',
inference('HYPERRESOLVE',[status(thm)],[11,5]) ).
cnf(16,plain,
h(j('SKOLEMAAAW1')) = 'SKOLEMAAAW1',
inference('HYPERRESOLVE',[status(thm)],[11,4]) ).
cnf(32,plain,
op1(j('SKOLEMAAAW1'),j('SKOLEMAAAW2')) = op1(j('SKOLEMAAAW2'),j('SKOLEMAAAW1')),
inference('HYPERRESOLVE',[status(thm)],[3,14,13]) ).
cnf(33,plain,
h(op1(j('SKOLEMAAAW1'),j('SKOLEMAAAW2'))) = op2('SKOLEMAAAW1','SKOLEMAAAW2'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,14,13]),15,16,theory(equality)]) ).
cnf(34,plain,
h(op1(j('SKOLEMAAAW1'),j('SKOLEMAAAW2'))) != op2('SKOLEMAAAW2','SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[6,33,theory(equality)]) ).
cnf(40,plain,
h(op1(j('SKOLEMAAAW2'),j('SKOLEMAAAW1'))) = op2('SKOLEMAAAW2','SKOLEMAAAW1'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[9,14,13]),16,15,theory(equality)]) ).
cnf(43,plain,
h(op1(j('SKOLEMAAAW1'),j('SKOLEMAAAW2'))) != h(op1(j('SKOLEMAAAW2'),j('SKOLEMAAAW1'))),
inference('REWRITE',[status(thm)],[34,40,theory(equality)]) ).
cnf(186,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[43,32,theory(equality)]),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG029+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 : Thu Jun 9 03:22:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T03:22:38
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-09T03:22:38
% 0.37/0.54
% 0.37/0.54
% 0.37/0.54 #||
% 0.37/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.54 % SZS output start Refutation
% See solution above
% 0.37/0.54 ||#
% 0.37/0.54
% 0.37/0.54 ; Summary of computation:
% 0.37/0.54 ; 493 formulas have been input or derived (from 28 formulas).
% 0.37/0.54 ; 186 (38%) were retained. Of these,
% 0.37/0.54 ; 10 ( 5%) were simplified or subsumed later,
% 0.37/0.54 ; 176 (95%) are still being kept.
% 0.37/0.54 ;
% 0.37/0.54 ; Run time in seconds excluding printing time:
% 0.37/0.54 ; 0.003 4% Read assertion file (1 call)
% 0.37/0.54 ; 0.000 0% Assert (5 calls)
% 0.37/0.54 ; 0.021 30% Process new row (448 calls)
% 0.37/0.54 ; 0.006 9% Resolution (54 calls)
% 0.37/0.54 ; 0.000 0% Paramodulation (27 calls)
% 0.37/0.54 ; 0.000 0% Condensing (9 calls)
% 0.37/0.54 ; 0.000 0% Forward subsumption (9 calls)
% 0.37/0.54 ; 0.000 0% Backward subsumption (9 calls)
% 0.37/0.54 ; 0.011 16% Forward simplification (448 calls)
% 0.37/0.54 ; 0.002 3% Backward simplification (186 calls)
% 0.37/0.54 ; 0.001 1% Ordering (132 calls)
% 0.37/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.54 ; 0.001 1% Purity testing (1 call)
% 0.37/0.54 ; 0.025 36% Other
% 0.37/0.54 ; 0.070 Total
% 0.37/0.54 ; 0.072 Real time
% 0.37/0.54 ;
% 0.37/0.54 ; Term-hash-array has 354 terms in all.
% 0.37/0.54 ; Feature-vector-row-index has 9 entries (9 at peak, 9 added, 0 deleted).
% 0.37/0.54 ; Feature-vector-row-index has 39 nodes (39 at peak, 39 added, 0 deleted).
% 0.37/0.54 ; Retrieved 0 possibly forward subsuming rows in 9 calls.
% 0.37/0.54 ; Retrieved 0 possibly backward subsumed rows in 9 calls.
% 0.37/0.54 ; Path-index has 342 entries (342 at peak, 356 added, 14 deleted).
% 0.37/0.54 ; Path-index has 344 nodes (344 at peak, 357 added, 13 deleted).
% 0.37/0.54 ; Trie-index has 342 entries (342 at peak, 356 added, 14 deleted).
% 0.37/0.54 ; Trie-index has 1,678 nodes (1,678 at peak, 1,724 added, 46 deleted).
% 0.37/0.54 ; Retrieved 521 generalization terms in 2,143 calls.
% 0.37/0.54 ; Retrieved 181 instance terms in 176 calls.
% 0.37/0.54 ; Retrieved 2,025 unifiable terms in 556 calls.
% 0.37/0.54 ;
% 0.37/0.54 ; The agenda of rows to process has 1 entry:
% 0.37/0.54 ; 1 with value 20
% 0.37/0.54 ; The agenda of rows to give has 149 entries:
% 0.37/0.54 ; 19 with value (4 16) 8 with value (4 24) 6 with value (4 30)
% 0.37/0.54 ; 16 with value (4 17) 16 with value (4 26) 16 with value (4 33)
% 0.37/0.54 ; 20 with value (4 19) 16 with value (4 27) 16 with value (4 34)
% 0.37/0.54 ; 16 with value (4 20)
% 0.37/0.54 Evaluation took:
% 0.37/0.54 0.073 seconds of real time
% 0.37/0.54 0.061933 seconds of user run time
% 0.37/0.54 0.011244 seconds of system run time
% 0.37/0.54 0 calls to %EVAL
% 0.37/0.54 0 page faults and
% 0.37/0.54 4,499,392 bytes consed.
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-09T03:22:38
% 0.37/0.54 :PROOF-FOUND
% 0.37/0.54 *
%------------------------------------------------------------------------------