TSTP Solution File: ARI712_1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ARI712_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 22:10:02 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
$sum($product(a,a),$sum($product($sum($product(a,$product(b,c)),$product(b,$product(d,a))),$sum($product(c,$product(c,a)),$sum($product(d,$product(d,b)),1))),$sum(b,$product(-1,$product($sum(a,$sum(b,$sum(c,d))),$sum(2,c)))))) = 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).
tff(2,plain,
$sum($product(a,a),$sum($product(a,$product(b,c)),$sum($product(a,$product(b,$product(c,$product(c,$product(c,a))))),$sum($product(a,$product(b,$product(c,$product(d,$product(d,b))))),$sum($product(b,$product(d,a)),$sum($product(b,$product(d,$product(a,$product(c,$product(c,a))))),$sum($product(b,$product(d,$product(a,$product(d,$product(d,b))))),$sum($product(-1,b),$sum($product(-2,a),$sum($product(-1,$product(a,c)),$sum($product(-1,$product(b,c)),$sum($product(-2,c),$sum($product(-1,$product(c,c)),$sum($product(-2,d),$product(-1,$product(d,c)))))))))))))))) = 0,
inference('REWRITE',[status(thm)],[1,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT']) ).
tff(3,negated_conjecture,
$sum($product(1,$product(d,$product(d,$product(d,$product(b,$product(b,a)))))),$product(-1,$sum($product(2,a),$sum($product(-1,$product(a,a)),$sum(b,$sum($product(2,c),$sum($product(-1,$product(d,$product(d,$product(c,$product(b,$product(b,a)))))),$sum($product(c,a),$sum($product(c,b),$sum($product(-1,$product(c,$product(b,a))),$sum($product(-1,$product(c,$product(c,$product(c,$product(b,$product(a,a)))))),$sum($product(2,d),$sum($product(d,c),$sum($product(-1,$product(d,$product(b,a))),$sum($product(c,c),$product(-1,$product(d,$product(c,$product(c,$product(b,$product(a,a))))))))))))))))))))) != 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(4,plain,
$false,
inference('REWRITE',[status(thm)],[3,2,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI712_1 : TPTP v8.1.0. Released v6.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 : Fri Jun 17 11:20:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 2022-06-17T11:20:12
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-17T11:20:12
% 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
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 4 formulas have been input or derived (from 1 formulas).
% 0.19/0.51 ; 4 (100%) were retained. Of these,
% 0.19/0.51 ; 2 (50%) were simplified or subsumed later,
% 0.19/0.51 ; 2 (50%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.003 10% Read assertion file (1 call)
% 0.19/0.51 ; 0.002 7% Assert (2 calls)
% 0.19/0.51 ; 0.001 3% Process new row (2 calls)
% 0.19/0.51 ; 0.003 10% Forward simplification (2 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (2 calls)
% 0.19/0.51 ; 0.000 0% Ordering (1 call)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (506 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.021 70% Other
% 0.19/0.51 ; 0.030 Total
% 0.19/0.51 ; 0.034 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 17 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.51 ; Path-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.19/0.51 ; Path-index has 37 nodes (37 at peak, 37 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.19/0.51 ; Retrieved 2 generalization terms in 2 calls.
% 0.19/0.51 ; Retrieved 1 instance term in 1 call.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of input rows to give has 1 entry:
% 0.19/0.51 ; 1 with value 108
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.035 seconds of real time
% 0.19/0.51 0.030491 seconds of user run time
% 0.19/0.51 0.00401 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,561,864 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T11:20:12
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
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