TSTP Solution File: GRP703+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP703+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 11:40:26 EDT 2022
% Result : Theorem 0.38s 0.54s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 8
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 11 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
mult(rd(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(5,axiom,
mult(X,unit) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(6,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
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(12,axiom,
op_e = mult(mult(rd(op_c,mult(X,Y)),Y),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f12) ).
cnf(14,negated_conjecture,
( mult(op_e,mult('SKOLEMAAAV1','SKOLEMAAAV2')) != mult(mult(op_e,'SKOLEMAAAV1'),'SKOLEMAAAV2')
| mult('SKOLEMAAAV1',mult('SKOLEMAAAV2',op_e)) != mult(mult('SKOLEMAAAV1','SKOLEMAAAV2'),op_e)
| mult('SKOLEMAAAV1',mult(op_e,'SKOLEMAAAV2')) != mult(mult('SKOLEMAAAV1',op_e),'SKOLEMAAAV2') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(62,plain,
op_e = op_c,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,12,theory(equality)]),3,6,theory(equality)]) ).
cnf(64,plain,
$false,
inference('REWRITE',[status(thm)],[14,10,9,8,62,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP703+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Tue Jun 14 01:37:39 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T01:37:39
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-14T01:37:39
% 0.22/0.50
% 0.22/0.50 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.38/0.54 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.38/0.54
% 0.38/0.54 #||
% 0.38/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.54 % SZS output start Refutation
% See solution above
% 0.38/0.54 ||#
% 0.38/0.54
% 0.38/0.54 ; Summary of computation:
% 0.38/0.54 ; 152 formulas have been input or derived (from 13 formulas).
% 0.38/0.54 ; 64 (42%) were retained. Of these,
% 0.38/0.54 ; 9 (14%) were simplified or subsumed later,
% 0.38/0.54 ; 55 (86%) are still being kept.
% 0.38/0.54 ;
% 0.38/0.54 ; Run time in seconds excluding printing time:
% 0.38/0.54 ; 0.004 9% Read assertion file (1 call)
% 0.38/0.54 ; 0.000 0% Assert (14 calls)
% 0.38/0.54 ; 0.008 17% Process new row (127 calls)
% 0.38/0.54 ; 0.002 4% Resolution (24 calls)
% 0.38/0.54 ; 0.002 4% Paramodulation (12 calls)
% 0.38/0.54 ; 0.000 0% Condensing (1 call)
% 0.38/0.54 ; 0.000 0% Forward subsumption (1 call)
% 0.38/0.54 ; 0.000 0% Backward subsumption (1 call)
% 0.38/0.54 ; 0.004 9% Forward simplification (124 calls)
% 0.38/0.54 ; 0.002 4% Backward simplification (64 calls)
% 0.38/0.54 ; 0.002 4% Ordering (440 calls)
% 0.38/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.54 ; 0.000 0% Purity testing (1 call)
% 0.38/0.54 ; 0.023 49% Other
% 0.38/0.54 ; 0.047 Total
% 0.38/0.54 ; 0.049 Real time
% 0.38/0.54 ;
% 0.38/0.54 ; Term-hash-array has 183 terms in all.
% 0.38/0.54 ; Feature-vector-row-index has 0 entries (1 at peak, 1 added, 1 deleted).
% 0.38/0.54 ; Feature-vector-row-index has 1 node (15 at peak, 15 added, 14 deleted).
% 0.38/0.54 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.38/0.54 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.38/0.54 ; Path-index has 157 entries (183 at peak, 196 added, 39 deleted).
% 0.38/0.54 ; Path-index has 393 nodes (423 at peak, 437 added, 44 deleted).
% 0.38/0.54 ; Trie-index has 157 entries (183 at peak, 196 added, 39 deleted).
% 0.38/0.54 ; Trie-index has 644 nodes (752 at peak, 797 added, 153 deleted).
% 0.38/0.54 ; Retrieved 269 generalization terms in 467 calls.
% 0.38/0.54 ; Retrieved 110 instance terms in 90 calls.
% 0.38/0.54 ; Retrieved 297 unifiable terms in 74 calls.
% 0.38/0.54 ;
% 0.38/0.54 ; The agenda of rows to process has 24 entries:
% 0.38/0.54 ; 3 with value 14 1 with value 17 8 with value 22
% 0.38/0.54 ; 5 with value 16 3 with value 21 4 with value 23
% 0.38/0.54 ; The agenda of input rows to give has 3 entries:
% 0.38/0.54 ; 2 with value 16 1 with value 19
% 0.38/0.54 ; The agenda of rows to give has 41 entries:
% 0.38/0.54 ; 2 with value (4 5) 3 with value (4 11) 17 with value (4 16)
% 0.38/0.54 ; 4 with value (4 8) 4 with value (4 15) 10 with value (4 20)
% 0.38/0.54 ; 1 with value (4 10)
% 0.38/0.54 Evaluation took:
% 0.38/0.54 0.049 seconds of real time
% 0.38/0.54 0.043215 seconds of user run time
% 0.38/0.54 0.006175 seconds of system run time
% 0.38/0.54 0 calls to %EVAL
% 0.38/0.54 0 page faults and
% 0.38/0.54 2,751,096 bytes consed.
% 0.38/0.54 :PROOF-FOUND
% 0.38/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T01:37:39
% 0.38/0.54 :PROOF-FOUND
% 0.38/0.54 *
%------------------------------------------------------------------------------