TSTP Solution File: GRP682-10 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP682-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 11:40:17 EDT 2022
% Result : Unsatisfiable 0.18s 0.52s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 2 RR)
% Number of literals : 16 ( 15 equ; 1 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; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f01,axiom,
ld(X,mult(X,X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(f02,axiom,
rd(mult(X,X),X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(f03,axiom,
mult(X,ld(X,Y)) = ld(X,mult(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(f04,axiom,
mult(rd(X,Y),Y) = rd(mult(X,Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(f05,axiom,
ld(ld(X,Y),mult(ld(X,Y),mult(Z,U))) = mult(ld(X,mult(X,Z)),U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(f07,axiom,
ld(X,mult(X,ld(Y,Y))) = rd(mult(rd(X,X),Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f07) ).
cnf(9,plain,
ld(X,mult(X,ld(Y,Y))) = mult(rd(rd(X,X),Y),Y),
inference('REWRITE',[status(thm)],[f07,f04,theory(equality)]) ).
cnf(goal,negated_conjecture,
ld(ld(x0,x1),mult(ld(x0,x1),x2)) != ld(x0,mult(x0,x2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(11,plain,
mult(rd(X,X),X) = X,
inference('REWRITE',[status(thm)],[f02,f04,theory(equality)]) ).
cnf(13,plain,
ld(X,X) = rd(X,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[f04,11,theory(equality)]),f01,f03,9,theory(equality)]) ).
cnf(15,plain,
mult(ld(X,X),X) = X,
inference('REWRITE',[status(thm)],[11,13,theory(equality)]) ).
cnf(18,plain,
ld(X,mult(X,mult(Y,Z))) = mult(ld(X,mult(X,Y)),Z),
inference('PARAMODULATE',[status(thm)],[f05,f01,theory(equality)]) ).
cnf(20,plain,
ld(ld(X,Y),mult(ld(X,Y),Z)) = mult(ld(X,mult(X,ld(Z,Z))),Z),
inference('PARAMODULATE',[status(thm)],[f05,15,theory(equality)]) ).
cnf(53,plain,
ld(X,mult(X,Y)) = mult(ld(X,mult(X,ld(Y,Y))),Y),
inference('PARAMODULATE',[status(thm)],[18,15,theory(equality)]) ).
cnf(54,plain,
ld(ld(X,Y),mult(ld(X,Y),Z)) = ld(X,mult(X,Z)),
inference('REWRITE',[status(thm)],[20,53,theory(equality)]) ).
cnf(69,plain,
$false,
inference('REWRITE',[status(thm)],[goal,54,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP682-10 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 13 14:29:25 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T14:29:26
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-13T14:29:26
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 #||
% 0.18/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.36/0.52 ||#
% 0.36/0.52
% 0.36/0.52 ; Summary of computation:
% 0.36/0.52 ; 137 formulas have been input or derived (from 14 formulas).
% 0.36/0.52 ; 69 (50%) were retained. Of these,
% 0.36/0.52 ; 27 (39%) were simplified or subsumed later,
% 0.36/0.52 ; 42 (61%) are still being kept.
% 0.36/0.52 ;
% 0.36/0.52 ; Run time in seconds excluding printing time:
% 0.36/0.52 ; 0.002 3% Read assertion file (1 call)
% 0.36/0.52 ; 0.000 0% Assert (8 calls)
% 0.36/0.52 ; 0.010 17% Process new row (102 calls)
% 0.36/0.52 ; 0.000 0% Resolution (26 calls)
% 0.36/0.52 ; 0.006 10% Paramodulation (13 calls)
% 0.36/0.52 ; 0.004 7% Forward simplification (93 calls)
% 0.36/0.52 ; 0.005 9% Backward simplification (67 calls)
% 0.36/0.52 ; 0.009 16% Ordering (497 calls)
% 0.36/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.52 ; 0.000 0% Purity testing (1 call)
% 0.36/0.52 ; 0.022 38% Other
% 0.36/0.52 ; 0.058 Total
% 0.36/0.52 ; 0.061 Real time
% 0.36/0.52 ;
% 0.36/0.52 ; Term-hash-array has 342 terms in all.
% 0.36/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.36/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.36/0.52 ; Path-index has 205 entries (262 at peak, 365 added, 160 deleted).
% 0.36/0.52 ; Path-index has 1,291 nodes (1,373 at peak, 1,540 added, 249 deleted).
% 0.36/0.52 ; Trie-index has 205 entries (262 at peak, 365 added, 160 deleted).
% 0.36/0.52 ; Trie-index has 1,253 nodes (1,579 at peak, 2,097 added, 844 deleted).
% 0.36/0.52 ; Retrieved 640 generalization terms in 832 calls.
% 0.36/0.52 ; Retrieved 193 instance terms in 94 calls.
% 0.36/0.52 ; Retrieved 408 unifiable terms in 86 calls.
% 0.36/0.52 ;
% 0.36/0.52 ; The agenda of rows to process has 33 entries:
% 0.36/0.52 ; 1 with value 22 1 with value 32 2 with value 45
% 0.36/0.52 ; 2 with value 25 3 with value 35 2 with value 47
% 0.36/0.52 ; 6 with value 26 1 with value 36 1 with value 48
% 0.36/0.52 ; 2 with value 30 5 with value 39 1 with value 52
% 0.36/0.52 ; 3 with value 31 3 with value 43
% 0.36/0.52 ; The agenda of rows to give has 33 entries:
% 0.36/0.52 ; 1 with value (4 16) 7 with value (4 25) 4 with value (4 38)
% 0.36/0.52 ; 1 with value (4 17) 1 with value (4 26) 1 with value (4 39)
% 0.36/0.52 ; 2 with value (4 20) 1 with value (4 29) 1 with value (4 43)
% 0.36/0.52 ; 4 with value (4 22) 5 with value (4 30) 1 with value (4 47)
% 0.36/0.52 ; 2 with value (4 24) 2 with value (4 34)
% 0.36/0.52 Evaluation took:
% 0.36/0.52 0.061 seconds of real time
% 0.36/0.52 0.055288 seconds of user run time
% 0.36/0.52 0.005908 seconds of system run time
% 0.36/0.52 0 calls to %EVAL
% 0.36/0.52 0 page faults and
% 0.36/0.52 4,061,576 bytes consed.
% 0.36/0.52 :PROOF-FOUND
% 0.36/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T14:29:26
% 0.36/0.52 :PROOF-FOUND
% 0.36/0.52 *
%------------------------------------------------------------------------------