TSTP Solution File: GRP702+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP702+1 : TPTP v8.1.0. Released v4.0.0.
% 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 11:40:24 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 3 RR)
% Number of literals : 10 ( 9 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
ld(X,mult(X,Y)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(8,axiom,
mult(op_c,mult(X,Y)) = mult(mult(op_c,X),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
cnf(9,axiom,
mult(X,mult(Y,op_c)) = mult(mult(X,Y),op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
cnf(10,axiom,
mult(X,mult(op_c,Y)) = mult(mult(X,op_c),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
cnf(11,axiom,
op_d = ld(X,mult(op_c,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
cnf(14,negated_conjecture,
( mult(op_d,mult('SKOLEMAAAV1','SKOLEMAAAV2')) != mult(mult(op_d,'SKOLEMAAAV1'),'SKOLEMAAAV2')
| mult('SKOLEMAAAV1',mult('SKOLEMAAAV2',op_d)) != mult(mult('SKOLEMAAAV1','SKOLEMAAAV2'),op_d)
| mult('SKOLEMAAAV1',mult(op_d,'SKOLEMAAAV2')) != mult(mult('SKOLEMAAAV1',op_d),'SKOLEMAAAV2') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(21,plain,
op_d = op_c,
inference('PARAMODULATE',[status(thm)],[2,11,theory(equality)]) ).
cnf(23,plain,
$false,
inference('REWRITE',[status(thm)],[14,10,9,8,21,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP702+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 12:27:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T12:27:41
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-13T12:27:41
% 0.20/0.48
% 0.20/0.48 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.20/0.50 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 40 formulas have been input or derived (from 8 formulas).
% 0.20/0.50 ; 23 (58%) were retained. Of these,
% 0.20/0.50 ; 2 ( 9%) were simplified or subsumed later,
% 0.20/0.50 ; 21 (91%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.20/0.50 ; 0.001 3% Assert (14 calls)
% 0.20/0.50 ; 0.003 9% Process new row (37 calls)
% 0.20/0.50 ; 0.000 0% Resolution (14 calls)
% 0.20/0.50 ; 0.002 6% Paramodulation (7 calls)
% 0.20/0.50 ; 0.000 0% Condensing (1 call)
% 0.20/0.50 ; 0.000 0% Forward subsumption (1 call)
% 0.20/0.50 ; 0.000 0% Backward subsumption (1 call)
% 0.20/0.50 ; 0.000 0% Forward simplification (37 calls)
% 0.20/0.50 ; 0.002 6% Backward simplification (23 calls)
% 0.20/0.50 ; 0.000 0% Ordering (88 calls)
% 0.20/0.50 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.020 62% Other
% 0.20/0.50 ; 0.032 Total
% 0.20/0.50 ; 0.033 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 73 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 0 entries (1 at peak, 1 added, 1 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 1 node (15 at peak, 15 added, 14 deleted).
% 0.20/0.50 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.50 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.50 ; Path-index has 65 entries (79 at peak, 83 added, 18 deleted).
% 0.20/0.50 ; Path-index has 227 nodes (257 at peak, 261 added, 34 deleted).
% 0.20/0.50 ; Trie-index has 65 entries (79 at peak, 83 added, 18 deleted).
% 0.20/0.50 ; Trie-index has 217 nodes (265 at peak, 275 added, 58 deleted).
% 0.20/0.50 ; Retrieved 19 generalization terms in 93 calls.
% 0.20/0.50 ; Retrieved 38 instance terms in 29 calls.
% 0.20/0.50 ; Retrieved 77 unifiable terms in 36 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to process has 3 entries:
% 0.20/0.50 ; 1 with value 8 1 with value 10 1 with value 11
% 0.20/0.50 ; The agenda of input rows to give has 7 entries:
% 0.20/0.50 ; 1 with value 10 2 with value 16 1 with value 19
% 0.20/0.50 ; 3 with value 14
% 0.20/0.50 ; The agenda of rows to give has 7 entries:
% 0.20/0.50 ; 1 with value (4 5) 4 with value (4 8) 2 with value (4 11)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.034 seconds of real time
% 0.20/0.50 0.028611 seconds of user run time
% 0.20/0.50 0.005151 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 2,055,080 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T12:27:41
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------