TSTP Solution File: GRP518-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% 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 : Sat Jul 16 11:39:15 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 2 RR)
% Number of literals : 10 ( 9 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X,multiply(multiply(inverse(multiply(X,Y)),Z),Y)) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(3,plain,
multiply(X,multiply(multiply(inverse(Y),Z),multiply(multiply(inverse(multiply(X,U)),Y),U))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(4,plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(inverse(multiply(inverse(multiply(X,Z)),U)),Y),U),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(5,plain,
multiply(multiply(inverse(X),Y),X) = Y,
inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).
cnf(13,plain,
multiply(X,Y) = multiply(multiply(inverse(multiply(inverse(Y),Z)),X),Z),
inference('PARAMODULATE',[status(thm)],[5,single_axiom,theory(equality)]) ).
cnf(14,plain,
multiply(X,multiply(Y,Z)) = multiply(Y,multiply(X,Z)),
inference('REWRITE',[status(thm)],[4,13,theory(equality)]) ).
cnf(19,plain,
multiply(X,Y) = multiply(multiply(inverse(Z),Y),multiply(X,Z)),
inference('PARAMODULATE',[status(thm)],[14,5,theory(equality)]) ).
cnf(27,plain,
multiply(multiply(inverse(X),Y),Z) = multiply(multiply(inverse(X),Z),Y),
inference('PARAMODULATE',[status(thm)],[19,5,theory(equality)]) ).
cnf(28,plain,
$false,
inference('REWRITE',[status(thm)],[prove_these_axioms_2,5,27,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 : Tue Jun 14 12:59:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T12:59:21
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-14T12:59:21
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 70 formulas have been input or derived (from 8 formulas).
% 0.20/0.51 ; 28 (40%) were retained. Of these,
% 0.20/0.51 ; 11 (39%) were simplified or subsumed later,
% 0.20/0.51 ; 17 (61%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.000 0% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (2 calls)
% 0.20/0.51 ; 0.004 11% Process new row (61 calls)
% 0.20/0.51 ; 0.000 0% Resolution (14 calls)
% 0.20/0.51 ; 0.002 6% Paramodulation (7 calls)
% 0.20/0.51 ; 0.002 6% Forward simplification (59 calls)
% 0.20/0.51 ; 0.003 8% Backward simplification (28 calls)
% 0.20/0.51 ; 0.002 6% Ordering (230 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.022 61% Other
% 0.20/0.51 ; 0.036 Total
% 0.20/0.51 ; 0.038 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 139 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.52 ; Path-index has 87 entries (91 at peak, 153 added, 66 deleted).
% 0.20/0.52 ; Path-index has 277 nodes (298 at peak, 346 added, 69 deleted).
% 0.20/0.52 ; Trie-index has 87 entries (91 at peak, 153 added, 66 deleted).
% 0.20/0.52 ; Trie-index has 290 nodes (326 at peak, 514 added, 224 deleted).
% 0.20/0.52 ; Retrieved 147 generalization terms in 298 calls.
% 0.20/0.52 ; Retrieved 157 instance terms in 32 calls.
% 0.20/0.52 ; Retrieved 267 unifiable terms in 54 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 9 entries:
% 0.20/0.52 ; 2 with value 24 2 with value 26 1 with value 27
% 0.20/0.52 ; 4 with value 25
% 0.20/0.52 ; The agenda of rows to give has 12 entries:
% 0.20/0.52 ; 1 with value (4 13) 1 with value (4 23) 1 with value (4 26)
% 0.20/0.52 ; 1 with value (4 20) 2 with value (4 24) 1 with value (4 32)
% 0.20/0.52 ; 2 with value (4 21) 1 with value (4 25) 1 with value (4 38)
% 0.20/0.52 ; 1 with value (4 22)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.039 seconds of real time
% 0.20/0.52 0.034232 seconds of user run time
% 0.20/0.52 0.004207 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,518,296 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T12:59:21
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------