TSTP Solution File: GRP665+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP665+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 11:40:12 EDT 2022
% Result : Theorem 0.39s 0.60s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 15 unt; 0 nHn; 7 RR)
% Number of literals : 29 ( 28 equ; 15 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
ld(X,mult(X,Y)) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(4,axiom,
rd(mult(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(7,axiom,
mult(X,mult(Y,Z)) = mult(rd(mult(X,Y),X),mult(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
cnf(8,axiom,
mult(mult(X,Y),Z) = mult(mult(X,Z),ld(Z,mult(Y,Z))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f08) ).
cnf(9,axiom,
mult(op_c,X) = mult(X,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f09) ).
cnf(10,negated_conjecture,
( mult(op_c,mult('SKOLEMAAAV1','SKOLEMAAAV2')) != mult(mult(op_c,'SKOLEMAAAV1'),'SKOLEMAAAV2')
| mult(mult('SKOLEMAAAV1',op_c),'SKOLEMAAAV2') != mult('SKOLEMAAAV1',mult(op_c,'SKOLEMAAAV2'))
| mult(mult('SKOLEMAAAV1','SKOLEMAAAV2'),op_c) != mult('SKOLEMAAAV1',mult('SKOLEMAAAV2',op_c)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(11,plain,
( mult(op_c,mult('SKOLEMAAAV1','SKOLEMAAAV2')) != mult(mult(op_c,'SKOLEMAAAV1'),'SKOLEMAAAV2')
| mult(mult('SKOLEMAAAV1',op_c),'SKOLEMAAAV2') != mult('SKOLEMAAAV1',mult(op_c,'SKOLEMAAAV2'))
| mult(mult('SKOLEMAAAV1',op_c),ld(op_c,mult('SKOLEMAAAV2',op_c))) != mult('SKOLEMAAAV1',mult('SKOLEMAAAV2',op_c)) ),
inference('REWRITE',[status(thm)],[10,8,theory(equality)]) ).
cnf(16,plain,
ld(op_c,mult(X,op_c)) = X,
inference('PARAMODULATE',[status(thm)],[2,9,theory(equality)]) ).
cnf(17,plain,
( mult(op_c,mult('SKOLEMAAAV1','SKOLEMAAAV2')) != mult(mult(op_c,'SKOLEMAAAV1'),'SKOLEMAAAV2')
| mult(mult('SKOLEMAAAV1',op_c),'SKOLEMAAAV2') != mult('SKOLEMAAAV1',mult(op_c,'SKOLEMAAAV2'))
| mult(mult('SKOLEMAAAV1',op_c),'SKOLEMAAAV2') != mult('SKOLEMAAAV1',mult('SKOLEMAAAV2',op_c)) ),
inference('REWRITE',[status(thm)],[11,16,theory(equality)]) ).
cnf(22,plain,
rd(mult(op_c,X),op_c) = X,
inference('PARAMODULATE',[status(thm)],[4,9,theory(equality)]) ).
cnf(23,plain,
rd(mult(X,op_c),X) = op_c,
inference('PARAMODULATE',[status(thm)],[4,9,theory(equality)]) ).
cnf(25,plain,
mult(X,mult(op_c,Y)) = mult(mult(X,Y),op_c),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9,7,theory(equality)]),22,theory(equality)]) ).
cnf(29,plain,
mult(X,mult(Y,op_c)) = mult(op_c,mult(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,9,theory(equality)]),23,theory(equality)]) ).
cnf(30,plain,
( mult('SKOLEMAAAV1',mult('SKOLEMAAAV2',op_c)) != mult(mult(op_c,'SKOLEMAAAV1'),'SKOLEMAAAV2')
| mult(mult('SKOLEMAAAV1',op_c),'SKOLEMAAAV2') != mult('SKOLEMAAAV1',mult(op_c,'SKOLEMAAAV2'))
| mult(mult('SKOLEMAAAV1',op_c),'SKOLEMAAAV2') != mult('SKOLEMAAAV1',mult('SKOLEMAAAV2',op_c)) ),
inference('REWRITE',[status(thm)],[17,29,theory(equality)]) ).
cnf(45,plain,
mult(op_c,mult(X,Y)) = mult(mult(X,op_c),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9,8,theory(equality)]),16,theory(equality)]) ).
cnf(80,plain,
( mult(mult('SKOLEMAAAV1',op_c),'SKOLEMAAAV2') != mult('SKOLEMAAAV1',mult('SKOLEMAAAV2',op_c))
| mult(mult('SKOLEMAAAV1',op_c),'SKOLEMAAAV2') != mult('SKOLEMAAAV1',mult(op_c,'SKOLEMAAAV2')) ),
inference('PARAMODULATE',[status(thm)],[30,9,theory(equality)]) ).
cnf(98,plain,
mult(X,mult(op_c,Y)) = mult(mult(X,op_c),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,25,theory(equality)]),16,theory(equality)]) ).
cnf(101,plain,
mult(mult('SKOLEMAAAV1',op_c),'SKOLEMAAAV2') != mult('SKOLEMAAAV1',mult('SKOLEMAAAV2',op_c)),
inference('REWRITE',[status(thm)],[80,98,theory(equality)]) ).
cnf(176,plain,
mult(X,mult(Y,op_c)) = mult(mult(X,op_c),Y),
inference('PARAMODULATE',[status(thm)],[29,45,theory(equality)]) ).
cnf(177,plain,
$false,
inference('REWRITE',[status(thm)],[101,176,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP665+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n021.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Tue Jun 14 00:50:42 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T00:50:42
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-14T00:50:42
% 0.20/0.47
% 0.20/0.47 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.39/0.60 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.39/0.60
% 0.39/0.60 #||
% 0.39/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.60 % SZS output start Refutation
% See solution above
% 0.39/0.60 ||#
% 0.39/0.60
% 0.39/0.60 ; Summary of computation:
% 0.39/0.60 ; 542 formulas have been input or derived (from 28 formulas).
% 0.39/0.60 ; 177 (33%) were retained. Of these,
% 0.39/0.60 ; 15 ( 8%) were simplified or subsumed later,
% 0.39/0.60 ; 162 (92%) are still being kept.
% 0.39/0.60 ;
% 0.39/0.60 ; Run time in seconds excluding printing time:
% 0.39/0.60 ; 0.003 2% Read assertion file (1 call)
% 0.39/0.60 ; 0.000 0% Assert (10 calls)
% 0.39/0.60 ; 0.017 12% Process new row (456 calls)
% 0.39/0.60 ; 0.001 1% Resolution (54 calls)
% 0.39/0.60 ; 0.012 9% Paramodulation (27 calls)
% 0.39/0.60 ; 0.000 0% Condensing (5 calls)
% 0.39/0.60 ; 0.000 0% Forward subsumption (5 calls)
% 0.39/0.60 ; 0.001 1% Backward subsumption (5 calls)
% 0.39/0.60 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.39/0.60 ; 0.025 18% Forward simplification (450 calls)
% 0.39/0.60 ; 0.011 8% Backward simplification (176 calls)
% 0.39/0.60 ; 0.048 34% Ordering (5,253 calls)
% 0.39/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.61 ; 0.000 0% Purity testing (1 call)
% 0.39/0.61 ; 0.023 16% Other
% 0.39/0.61 ; 0.141 Total
% 0.39/0.61 ; 0.143 Real time
% 0.39/0.61 ;
% 0.39/0.61 ; Term-hash-array has 501 terms in all.
% 0.39/0.61 ; Feature-vector-row-index has 0 entries (2 at peak, 5 added, 5 deleted).
% 0.39/0.61 ; Feature-vector-row-index has 1 node (29 at peak, 59 added, 58 deleted).
% 0.39/0.61 ; Retrieved 1 possibly forward subsuming row in 5 calls.
% 0.39/0.61 ; Retrieved 3 possibly backward subsumed rows in 5 calls.
% 0.39/0.61 ; Path-index has 473 entries (479 at peak, 545 added, 72 deleted).
% 0.39/0.61 ; Path-index has 853 nodes (857 at peak, 937 added, 84 deleted).
% 0.39/0.61 ; Trie-index has 473 entries (479 at peak, 545 added, 72 deleted).
% 0.39/0.61 ; Trie-index has 2,382 nodes (2,397 at peak, 2,607 added, 225 deleted).
% 0.39/0.61 ; Retrieved 3,483 generalization terms in 2,652 calls.
% 0.39/0.61 ; Retrieved 682 instance terms in 372 calls.
% 0.39/0.61 ; Retrieved 1,451 unifiable terms in 171 calls.
% 0.39/0.61 ;
% 0.39/0.61 ; The agenda of backward simplifiable rows to process has 1 entry:
% 0.39/0.61 ; 1 with value 0
% 0.39/0.61 ; The agenda of rows to process has 71 entries:
% 0.39/0.61 ; 11 with value 16 30 with value 21 8 with value 26
% 0.39/0.61 ; 10 with value 17 1 with value 22 5 with value 30
% 0.39/0.61 ; 1 with value 18 5 with value 25
% 0.39/0.61 ; The agenda of rows to give has 135 entries:
% 0.39/0.61 ; 3 with value (4 15) 2 with value (4 24) 6 with value (4 33)
% 0.39/0.61 ; 10 with value (4 16) 14 with value (4 25) 2 with value (4 34)
% 0.39/0.61 ; 16 with value (4 17) 17 with value (4 26) 3 with value (4 37)
% 0.39/0.61 ; 12 with value (4 20) 8 with value (4 29) 2 with value (4 38)
% 0.39/0.61 ; 22 with value (4 21) 18 with value (4 30)
% 0.39/0.61 Evaluation took:
% 0.39/0.61 0.144 seconds of real time
% 0.39/0.61 0.129743 seconds of user run time
% 0.39/0.61 0.01417 seconds of system run time
% 0.39/0.61 0 calls to %EVAL
% 0.39/0.61 0 page faults and
% 0.39/0.61 8,124,056 bytes consed.
% 0.39/0.61 :PROOF-FOUND
% 0.39/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T00:50:42
% 0.39/0.61 :PROOF-FOUND
% 0.39/0.61 *
%------------------------------------------------------------------------------