TSTP Solution File: GRP656-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP656-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 11:40:07 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 3 RR)
% Number of literals : 14 ( 13 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
mult(X,ld(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(f02,axiom,
ld(X,mult(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(f04,axiom,
rd(mult(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(f05,axiom,
mult(mult(X,Y),mult(Z,X)) = mult(mult(X,mult(Y,Z)),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(goal,negated_conjecture,
tuple(mult(X,x1(X)),mult(x1_2(X),X)) != tuple(x1(X),x1_2(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(10,plain,
ld(mult(X,mult(Y,Z)),mult(mult(X,Y),mult(Z,X))) = X,
inference('PARAMODULATE',[status(thm)],[f02,f05,theory(equality)]) ).
cnf(12,plain,
mult(mult(X,Y),mult(ld(Y,Z),X)) = mult(mult(X,Z),X),
inference('PARAMODULATE',[status(thm)],[f05,f01,theory(equality)]) ).
cnf(35,plain,
ld(mult(X,Y),mult(mult(X,Z),X)) = mult(ld(Y,Z),X),
inference('PARAMODULATE',[status(thm)],[f02,12,theory(equality)]) ).
cnf(36,plain,
mult(ld(X,X),Y) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,12,theory(equality)]),35,f01,theory(equality)]) ).
cnf(49,plain,
rd(X,X) = ld(Y,Y),
inference('PARAMODULATE',[status(thm)],[f04,36,theory(equality)]) ).
cnf(58,plain,
tuple(x1(ld(X,X)),mult(x1_2(ld(X,X)),ld(X,X))) != tuple(x1(ld(X,X)),x1_2(ld(X,X))),
inference('PARAMODULATE',[status(thm)],[goal,36,theory(equality)]) ).
cnf(59,plain,
ld(X,X) = ld(Y,Y),
inference('PARAMODULATE',[status(thm)],[49,49,theory(equality)]) ).
cnf(65,plain,
mult(X,ld(Y,Y)) = X,
inference('PARAMODULATE',[status(thm)],[f01,59,theory(equality)]) ).
cnf(66,plain,
$false,
inference('REWRITE',[status(thm)],[58,65,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP656-10 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 08:25:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-13T08:25:23
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-13T08:25:23
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 152 formulas have been input or derived (from 17 formulas).
% 0.20/0.52 ; 66 (43%) were retained. Of these,
% 0.20/0.52 ; 8 (12%) were simplified or subsumed later,
% 0.20/0.52 ; 58 (88%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.002 4% Read assertion file (1 call)
% 0.20/0.52 ; 0.000 0% Assert (6 calls)
% 0.20/0.52 ; 0.010 21% Process new row (134 calls)
% 0.20/0.52 ; 0.000 0% Resolution (32 calls)
% 0.20/0.52 ; 0.004 9% Paramodulation (16 calls)
% 0.20/0.52 ; 0.003 6% Forward simplification (129 calls)
% 0.20/0.52 ; 0.002 4% Backward simplification (66 calls)
% 0.20/0.52 ; 0.003 6% Ordering (350 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.023 49% Other
% 0.20/0.52 ; 0.047 Total
% 0.20/0.52 ; 0.049 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 289 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.52 ; Path-index has 265 entries (287 at peak, 289 added, 24 deleted).
% 0.20/0.52 ; Path-index has 1,000 nodes (1,034 at peak, 1,038 added, 38 deleted).
% 0.20/0.52 ; Trie-index has 265 entries (287 at peak, 289 added, 24 deleted).
% 0.20/0.52 ; Trie-index has 1,524 nodes (1,661 at peak, 1,680 added, 156 deleted).
% 0.20/0.52 ; Retrieved 206 generalization terms in 814 calls.
% 0.20/0.52 ; Retrieved 183 instance terms in 77 calls.
% 0.20/0.52 ; Retrieved 422 unifiable terms in 95 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.20/0.52 ; 6 with value 0
% 0.20/0.52 ; The agenda of rows to process has 9 entries:
% 0.20/0.52 ; 7 with value 15 2 with value 24
% 0.20/0.52 ; The agenda of rows to give has 42 entries:
% 0.20/0.52 ; 1 with value (4 13) 2 with value (4 25) 4 with value (4 35)
% 0.20/0.52 ; 4 with value (4 14) 2 with value (4 26) 3 with value (4 38)
% 0.20/0.52 ; 1 with value (4 15) 3 with value (4 29) 3 with value (4 39)
% 0.20/0.52 ; 4 with value (4 21) 5 with value (4 30) 1 with value (4 45)
% 0.20/0.52 ; 4 with value (4 22) 2 with value (4 31) 1 with value (4 46)
% 0.20/0.52 ; 1 with value (4 23) 1 with value (4 34)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.05 seconds of real time
% 0.20/0.52 0.045237 seconds of user run time
% 0.20/0.52 0.004903 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 3,353,304 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T08:25:23
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------