%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 11:37:32 EDT 2022
% Result : Unsatisfiable 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 2 RR)
% Number of literals : 7 ( 6 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 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 : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
cnf(right_identity,axiom,
multiply(X,identity) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
cnf(moufang4,axiom,
multiply(X,multiply(multiply(Y,Z),X)) = multiply(multiply(X,Y),multiply(Z,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang4) ).
cnf(prove_moufang1,negated_conjecture,
multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang1) ).
cnf(23,plain,
multiply(X,multiply(Y,X)) = multiply(multiply(X,Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[moufang4,right_identity,theory(equality)]),left_identity,theory(equality)]) ).
cnf(44,plain,
multiply(multiply(X,multiply(Y,Z)),X) = multiply(multiply(X,Y),multiply(Z,X)),
inference('PARAMODULATE',[status(thm)],[moufang4,23,theory(equality)]) ).
cnf(45,plain,
$false,
inference('REWRITE',[status(thm)],[prove_moufang1,44,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP206-1 : TPTP v8.1.0. Released v2.3.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Mon Jun 13 15:08:55 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 *
% 0.18/0.44 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T15:08:55
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-13T15:08:55
% 0.18/0.46
% 0.18/0.46 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.18/0.46 ; Recognized right identity assertion (= (|multiply| ?X |identity|) ?X).
% 0.18/0.46 ; Recognized possible right inverse assertion (= (|multiply| ?X (|right_inverse| ?X)) |identity|).
% 0.18/0.49 ; Recognized possible left inverse assertion (= (|multiply| (|left_inverse| ?X) ?X) |identity|).
% 0.18/0.49
% 0.18/0.49 #||
% 0.18/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 ||#
% 0.18/0.49
% 0.18/0.49 ; Summary of computation:
% 0.18/0.49 ; 133 formulas have been input or derived (from 24 formulas).
% 0.18/0.49 ; 45 (34%) were retained. Of these,
% 0.18/0.49 ; 1 ( 2%) were simplified or subsumed later,
% 0.18/0.49 ; 44 (98%) are still being kept.
% 0.18/0.49 ;
% 0.18/0.49 ; Run time in seconds:
% 0.18/0.49 ; 0.002 5% Read assertion file (1 call)
% 0.18/0.49 ; 0.001 2% Assert (10 calls)
% 0.18/0.49 ; 0.005 12% Process new row (114 calls)
% 0.18/0.49 ; 0.001 2% Resolution (46 calls)
% 0.18/0.49 ; 0.001 2% Paramodulation (23 calls)
% 0.18/0.49 ; 0.001 2% Forward simplification (114 calls)
% 0.18/0.49 ; 0.001 2% Backward simplification (45 calls)
% 0.18/0.49 ; 0.003 7% Ordering (302 calls)
% 0.18/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.49 ; 0.000 0% Purity testing (1 call)
% 0.18/0.49 ; 0.026 63% Other
% 0.18/0.49 ; 0.041 Total
% 0.18/0.49 ; 0.041 Real time
% 0.18/0.49 ;
% 0.18/0.49 ; Term-hash-array has 141 terms in all.
% 0.18/0.49 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.49 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.49 ; Path-index has 138 entries (145 at peak, 148 added, 10 deleted).
% 0.18/0.49 ; Path-index has 464 nodes (485 at peak, 488 added, 24 deleted).
% 0.18/0.49 ; Trie-index has 138 entries (145 at peak, 148 added, 10 deleted).
% 0.18/0.49 ; Trie-index has 563 nodes (593 at peak, 596 added, 33 deleted).
% 0.18/0.49 ; Retrieved 136 generalization terms in 331 calls.
% 0.18/0.49 ; Retrieved 71 instance terms in 46 calls.
% 0.18/0.49 ; Retrieved 326 unifiable terms in 123 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of rows to process has 13 entries:
% 0.18/0.49 ; 6 with value 21 3 with value 26 1 with value 38
% 0.18/0.49 ; 2 with value 25 1 with value 34
% 0.18/0.49 ; The agenda of rows to give has 21 entries:
% 0.18/0.49 ; 2 with value (4 14) 4 with value (4 20) 2 with value (4 29)
% 0.18/0.49 ; 2 with value (4 16) 1 with value (4 21) 1 with value (4 45)
% 0.18/0.49 ; 8 with value (4 17) 1 with value (4 24)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.041 seconds of real time
% 0.18/0.49 0.034945 seconds of user run time
% 0.18/0.49 0.006282 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 2,210,872 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T15:08:55
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------