TSTP Solution File: ALG235-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG235-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 18:00:21 EDT 2022
% Result : Unsatisfiable 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 3 RR)
% Number of literals : 6 ( 5 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(X,mult(Y,mult(X,Y))) = mult(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
cnf(c02,axiom,
mult(X,mult(Y,mult(Z,U))) = mult(Z,mult(Y,mult(X,U))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
cnf(goals,negated_conjecture,
mult(a,mult(b,mult(a,mult(c,mult(d,c))))) != mult(a,mult(b,mult(d,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(5,plain,
mult(d,mult(c,mult(a,mult(b,mult(a,c))))) != mult(d,mult(b,mult(a,c))),
inference('REWRITE',[status(thm)],[goals,c02,theory(equality)]) ).
cnf(7,plain,
mult(X,mult(Y,Z)) = mult(Z,mult(Y,mult(X,mult(Y,Z)))),
inference('PARAMODULATE',[status(thm)],[c02,c01,theory(equality)]) ).
cnf(8,plain,
$false,
inference('REWRITE',[status(thm)],[5,7,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG235-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 8 16:01:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T16:01:07
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-08T16:01:07
% 0.21/0.50
% 0.21/0.50
% 0.21/0.50 #||
% 0.21/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.50 % SZS output start Refutation
% See solution above
% 0.21/0.51 ||#
% 0.21/0.51
% 0.21/0.51 ; Summary of computation:
% 0.21/0.51 ; 28 formulas have been input or derived (from 3 formulas).
% 0.21/0.51 ; 8 (29%) were retained. Of these,
% 0.21/0.51 ; 2 (25%) were simplified or subsumed later,
% 0.21/0.51 ; 6 (75%) are still being kept.
% 0.21/0.51 ;
% 0.21/0.51 ; Run time in seconds excluding printing time:
% 0.21/0.51 ; 0.002 8% Read assertion file (1 call)
% 0.21/0.51 ; 0.000 0% Assert (4 calls)
% 0.21/0.51 ; 0.001 4% Process new row (12 calls)
% 0.21/0.51 ; 0.000 0% Resolution (4 calls)
% 0.21/0.51 ; 0.001 4% Paramodulation (2 calls)
% 0.21/0.51 ; 0.000 0% Forward simplification (12 calls)
% 0.21/0.51 ; 0.001 4% Backward simplification (7 calls)
% 0.21/0.51 ; 0.001 4% Ordering (70 calls)
% 0.21/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.51 ; 0.000 0% Purity testing (1 call)
% 0.21/0.51 ; 0.020 77% Other
% 0.21/0.51 ; 0.026 Total
% 0.21/0.51 ; 0.028 Real time
% 0.21/0.51 ;
% 0.21/0.51 ; Term-hash-array has 34 terms in all.
% 0.21/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.21/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.21/0.51 ; Path-index has 31 entries (38 at peak, 42 added, 11 deleted).
% 0.21/0.51 ; Path-index has 109 nodes (134 at peak, 138 added, 29 deleted).
% 0.21/0.51 ; Trie-index has 31 entries (38 at peak, 42 added, 11 deleted).
% 0.21/0.51 ; Trie-index has 99 nodes (149 at peak, 153 added, 54 deleted).
% 0.21/0.51 ; Retrieved 33 generalization terms in 52 calls.
% 0.21/0.51 ; Retrieved 13 instance terms in 9 calls.
% 0.21/0.51 ; Retrieved 84 unifiable terms in 15 calls.
% 0.21/0.51 ;
% 0.21/0.51 ; The agenda of rows to process has 15 entries:
% 0.21/0.51 ; 1 with value 21 4 with value 25 6 with value 30
% 0.21/0.51 ; 2 with value 24 2 with value 26
% 0.21/0.51 ; The agenda of input rows to give has 1 entry:
% 0.21/0.51 ; 1 with value 24
% 0.21/0.51 ; The agenda of rows to give has 2 entries:
% 0.21/0.51 ; 2 with value (4 21)
% 0.21/0.51 Evaluation took:
% 0.21/0.51 0.028 seconds of real time
% 0.21/0.51 0.025453 seconds of user run time
% 0.21/0.51 0.003264 seconds of system run time
% 0.21/0.51 0 calls to %EVAL
% 0.21/0.51 0 page faults and
% 0.21/0.51 1,760,344 bytes consed.
% 0.21/0.51 :PROOF-FOUND
% 0.21/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T16:01:07
% 0.21/0.51 :PROOF-FOUND
% 0.21/0.51 *
%------------------------------------------------------------------------------