TSTP Solution File: GRP657+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP657+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 11:40:08 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 15 ( 14 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
ld(X,mult(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(3,axiom,
mult(rd(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(4,axiom,
rd(mult(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(5,axiom,
mult(mult(X,Y),mult(Z,X)) = mult(X,mult(mult(Y,Z),X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(6,negated_conjecture,
( mult('SKOLEMAAAV1'(X),X) != 'SKOLEMAAAV1'(X)
| mult(X,'SKOLEMAAAV1'(X)) != 'SKOLEMAAAV1'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(9,plain,
rd(mult(mult(X,Y),mult(Z,X)),mult(mult(Y,Z),X)) = X,
inference('PARAMODULATE',[status(thm)],[4,5,theory(equality)]) ).
cnf(10,plain,
ld(X,mult(mult(X,Y),mult(Z,X))) = mult(mult(Y,Z),X),
inference('PARAMODULATE',[status(thm)],[2,5,theory(equality)]) ).
cnf(11,plain,
mult(mult(X,rd(Y,Z)),mult(Z,X)) = mult(X,mult(Y,X)),
inference('PARAMODULATE',[status(thm)],[5,3,theory(equality)]) ).
cnf(37,plain,
rd(mult(X,mult(Y,X)),mult(Z,X)) = mult(X,rd(Y,Z)),
inference('PARAMODULATE',[status(thm)],[4,11,theory(equality)]) ).
cnf(39,plain,
mult(X,rd(Y,Y)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9,11,theory(equality)]),37,3,theory(equality)]) ).
cnf(55,plain,
mult(rd(X,X),'SKOLEMAAAV1'(rd(X,X))) != 'SKOLEMAAAV1'(rd(X,X)),
inference('UR-RESOLVE',[status(thm)],[6,39]) ).
cnf(56,plain,
mult(X,Y) = mult(mult(rd(Z,Z),X),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,39,theory(equality)]),2,theory(equality)]) ).
cnf(58,plain,
X = mult(rd(Y,Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,39,theory(equality)]),39,3,56,theory(equality)]) ).
cnf(60,plain,
$false,
inference('REWRITE',[status(thm)],[55,58,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP657+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 16:37:18 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T16:37:18
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-13T16:37:18
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 124 formulas have been input or derived (from 13 formulas).
% 0.19/0.52 ; 60 (48%) were retained. Of these,
% 0.19/0.52 ; 6 (10%) were simplified or subsumed later,
% 0.19/0.52 ; 54 (90%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.002 4% Read assertion file (1 call)
% 0.19/0.52 ; 0.000 0% Assert (6 calls)
% 0.19/0.52 ; 0.009 16% Process new row (117 calls)
% 0.19/0.52 ; 0.000 0% Resolution (24 calls)
% 0.19/0.52 ; 0.002 4% Paramodulation (12 calls)
% 0.19/0.52 ; 0.000 0% Condensing (2 calls)
% 0.19/0.52 ; 0.000 0% Forward subsumption (2 calls)
% 0.19/0.52 ; 0.000 0% Backward subsumption (1 call)
% 0.19/0.52 ; 0.000 0% Clause clause subsumption (1 call)
% 0.19/0.52 ; 0.006 11% Forward simplification (117 calls)
% 0.19/0.52 ; 0.001 2% Backward simplification (60 calls)
% 0.19/0.52 ; 0.012 22% Ordering (564 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.023 42% Other
% 0.19/0.52 ; 0.055 Total
% 0.19/0.52 ; 0.058 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 256 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 7 nodes (7 at peak, 7 added, 0 deleted).
% 0.19/0.52 ; Retrieved 1 possibly forward subsuming row in 2 calls.
% 0.19/0.52 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.19/0.52 ; Path-index has 237 entries (245 at peak, 256 added, 19 deleted).
% 0.19/0.52 ; Path-index has 1,149 nodes (1,159 at peak, 1,179 added, 30 deleted).
% 0.19/0.52 ; Trie-index has 237 entries (245 at peak, 256 added, 19 deleted).
% 0.19/0.52 ; Trie-index has 1,434 nodes (1,465 at peak, 1,540 added, 106 deleted).
% 0.19/0.52 ; Retrieved 515 generalization terms in 879 calls.
% 0.19/0.52 ; Retrieved 148 instance terms in 71 calls.
% 0.19/0.52 ; Retrieved 311 unifiable terms in 74 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 6 entries:
% 0.19/0.52 ; 1 with value 26 4 with value 27 1 with value 32
% 0.19/0.52 ; The agenda of rows to give has 41 entries:
% 0.19/0.52 ; 1 with value (4 12) 1 with value (4 25) 1 with value (4 34)
% 0.19/0.52 ; 2 with value (4 13) 4 with value (4 26) 3 with value (4 35)
% 0.19/0.52 ; 1 with value (4 17) 3 with value (4 29) 1 with value (4 38)
% 0.19/0.52 ; 1 with value (4 20) 6 with value (4 30) 5 with value (4 39)
% 0.19/0.52 ; 4 with value (4 21) 4 with value (4 31) 1 with value (4 45)
% 0.19/0.52 ; 3 with value (4 22)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.059 seconds of real time
% 0.19/0.52 0.054296 seconds of user run time
% 0.19/0.52 0.004307 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,689,448 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T16:37:18
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------