TSTP Solution File: GRP747+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP747+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 11:40:36 EDT 2022
% Result : Theorem 0.61s 0.85s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of clauses : 17 ( 13 unt; 2 nHn; 13 RR)
% Number of literals : 21 ( 20 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 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(6,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(8,axiom,
( mult(mult(X,Y),Z) = mult(X,mult(Z,Y))
| mult(mult(X,Y),Z) = mult(mult(X,Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
cnf(9,axiom,
( mult(mult(X,Y),Z) = mult(X,mult(Z,Y))
| mult(X,mult(Y,Z)) = mult(X,mult(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
cnf(10,negated_conjecture,
mult(mult(a,b),c) != mult(a,mult(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(32,plain,
mult(X,Y) = mult(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,6,theory(equality)]),6,theory(equality)]) ).
cnf(34,plain,
( mult(mult(a,b),c) = mult(a,mult(c,b))
| mult(mult(a,c),b) != mult(a,mult(b,c)) ),
inference('PARAMODULATE',[status(thm)],[10,8,theory(equality)]) ).
cnf(97,plain,
( mult(a,mult(c,b)) = mult(a,mult(b,c))
| mult(mult(a,b),c) != mult(mult(a,c),b) ),
inference('PARAMODULATE',[status(thm)],[10,9,theory(equality)]) ).
cnf(195,plain,
mult(c,mult(a,b)) != mult(a,mult(b,c)),
inference('PARAMODULATE',[status(thm)],[10,32,theory(equality)]) ).
cnf(196,plain,
mult(mult(a,b),c) != mult(a,mult(c,b)),
inference('PARAMODULATE',[status(thm)],[10,32,theory(equality)]) ).
cnf(197,plain,
mult(mult(a,c),b) != mult(a,mult(b,c)),
inference('REWRITE',[status(thm)],[34,196]) ).
cnf(307,plain,
mult(mult(a,b),c) = mult(mult(a,c),b),
inference('HYPERRESOLVE',[status(thm)],[197,8]) ).
cnf(308,plain,
mult(a,mult(c,b)) = mult(a,mult(b,c)),
inference('REWRITE',[status(thm)],[97,307,theory(equality)]) ).
cnf(309,plain,
mult(a,mult(b,c)) = mult(mult(c,b),a),
inference('PARAMODULATE',[status(thm)],[32,308,theory(equality)]) ).
cnf(335,plain,
mult(mult(c,b),a) = mult(mult(c,a),b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[195,8,theory(equality)]),309,theory(equality)]) ).
cnf(336,plain,
mult(a,mult(b,c)) = mult(mult(c,a),b),
inference('REWRITE',[status(thm)],[309,335,theory(equality)]) ).
cnf(337,plain,
mult(mult(a,b),c) != mult(mult(c,a),b),
inference('REWRITE',[status(thm)],[10,336,theory(equality)]) ).
cnf(355,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[337,32,theory(equality)]),307,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP747+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 07:16:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T07:16:22
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-14T07:16:22
% 0.20/0.50
% 0.20/0.50 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.61/0.85 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.61/0.85
% 0.61/0.85 #||
% 0.61/0.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.61/0.85 % SZS output start Refutation
% See solution above
% 0.61/0.85 ||#
% 0.61/0.85
% 0.61/0.85 ; Summary of computation:
% 0.61/0.85 ; 668 formulas have been input or derived (from 28 formulas).
% 0.61/0.85 ; 355 (53%) were retained. Of these,
% 0.61/0.85 ; 83 (23%) were simplified or subsumed later,
% 0.61/0.85 ; 272 (77%) are still being kept.
% 0.61/0.85 ;
% 0.61/0.85 ; Run time in seconds excluding printing time:
% 0.61/0.85 ; 0.003 1% Read assertion file (1 call)
% 0.61/0.85 ; 0.000 0% Assert (9 calls)
% 0.61/0.85 ; 0.040 11% Process new row (632 calls)
% 0.61/0.85 ; 0.005 1% Resolution (54 calls)
% 0.61/0.85 ; 0.013 4% Paramodulation (27 calls)
% 0.61/0.85 ; 0.000 0% Factoring (2 calls)
% 0.61/0.85 ; 0.006 2% Condensing (286 calls)
% 0.61/0.85 ; 0.029 8% Forward subsumption (286 calls)
% 0.61/0.85 ; 0.042 12% Backward subsumption (250 calls)
% 0.61/0.85 ; 0.091 25% Clause clause subsumption (14,729 calls)
% 0.61/0.85 ; 0.055 15% Forward simplification (599 calls)
% 0.61/0.85 ; 0.017 5% Backward simplification (355 calls)
% 0.61/0.85 ; 0.041 11% Ordering (5,114 calls)
% 0.61/0.85 ; 0.000 0% Sortal reasoning (32 calls)
% 0.61/0.85 ; 0.000 0% Purity testing (1 call)
% 0.61/0.85 ; 0.023 6% Other
% 0.61/0.85 ; 0.365 Total
% 0.61/0.85 ; 0.367 Real time
% 0.61/0.85 ;
% 0.61/0.85 ; Term-hash-array has 933 terms in all.
% 0.61/0.85 ; Feature-vector-row-index has 200 entries (204 at peak, 250 added, 50 deleted).
% 0.61/0.85 ; Feature-vector-row-index has 113 nodes (164 at peak, 255 added, 142 deleted).
% 0.61/0.85 ; Retrieved 8,241 possibly forward subsuming rows in 286 calls.
% 0.61/0.85 ; Retrieved 6,813 possibly backward subsumed rows in 250 calls.
% 0.61/0.85 ; Path-index has 778 entries (796 at peak, 975 added, 197 deleted).
% 0.61/0.85 ; Path-index has 723 nodes (733 at peak, 857 added, 134 deleted).
% 0.61/0.85 ; Trie-index has 778 entries (796 at peak, 975 added, 197 deleted).
% 0.61/0.85 ; Trie-index has 1,799 nodes (1,918 at peak, 2,629 added, 830 deleted).
% 0.61/0.85 ; Retrieved 10,909 generalization terms in 5,544 calls.
% 0.61/0.85 ; Retrieved 3,372 instance terms in 180 calls.
% 0.61/0.85 ; Retrieved 3,966 unifiable terms in 177 calls.
% 0.61/0.85 ;
% 0.61/0.85 ; The agenda of rows to process has 9 entries:
% 0.61/0.85 ; 1 with value 16 8 with value 29
% 0.61/0.85 ; The agenda of rows to give has 255 entries:
% 0.61/0.85 ; 1 with value (4 15) 2 with value (4 33) 5 with value (4 45)
% 0.61/0.85 ; 8 with value (4 16) 10 with value (4 34) 1 with value (4 48)
% 0.61/0.85 ; 6 with value (4 17) 9 with value (4 35) 15 with value (4 49)
% 0.61/0.85 ; 4 with value (4 18) 1 with value (4 36) 4 with value (4 52)
% 0.61/0.85 ; 2 with value (4 20) 3 with value (4 38) 47 with value (4 53)
% 0.61/0.85 ; 12 with value (4 21) 19 with value (4 39) 6 with value (4 57)
% 0.61/0.85 ; 1 with value (4 23) 22 with value (4 40) 12 with value (4 58)
% 0.61/0.85 ; 6 with value (4 25) 2 with value (4 41) 4 with value (4 62)
% 0.61/0.85 ; 3 with value (4 26) 9 with value (4 43) 1 with value (4 66)
% 0.61/0.85 ; 32 with value (4 30) 7 with value (4 44) 1 with value (4 71)
% 0.61/0.85 Evaluation took:
% 0.61/0.85 0.367 seconds of real time
% 0.61/0.85 0.328322 seconds of user run time
% 0.61/0.85 0.038848 seconds of system run time
% 0.61/0.85 [Run times include 0.007 seconds GC run time.]
% 0.61/0.85 0 calls to %EVAL
% 0.61/0.85 0 page faults and
% 0.61/0.85 24,063,624 bytes consed.
% 0.61/0.85 :PROOF-FOUND
% 0.61/0.85 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T07:16:23
% 0.61/0.85 :PROOF-FOUND
% 0.61/0.85 *
%------------------------------------------------------------------------------