TSTP Solution File: GRP595-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP595-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 11:39:35 EDT 2022
% Result : Unsatisfiable 0.38s 0.58s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 3 RR)
% Number of literals : 21 ( 20 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 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 : 52 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(double_divide(Z,Y)))))) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = inverse(double_divide(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(4,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference('REWRITE',[status(thm)],[prove_these_axioms_3,multiply,theory(equality)]) ).
cnf(5,plain,
inverse(double_divide(double_divide(double_divide(X,Y),inverse(double_divide(Z,Y))),Z)) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(8,plain,
inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,Z)))) = double_divide(double_divide(Z,U),inverse(double_divide(Y,U))),
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(15,plain,
double_divide(double_divide(inverse(double_divide(X,Y)),Z),inverse(double_divide(Y,Z))) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,8,theory(equality)]) ).
cnf(16,plain,
double_divide(double_divide(X,Y),inverse(double_divide(Z,Y))) = double_divide(double_divide(X,U),inverse(double_divide(Z,U))),
inference('PARAMODULATE',[status(thm)],[8,8,theory(equality)]) ).
cnf(17,plain,
inverse(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,Z)))),Y)) = Z,
inference('PARAMODULATE',[status(thm)],[5,8,theory(equality)]) ).
cnf(44,plain,
inverse(double_divide(double_divide(double_divide(inverse(double_divide(X,Y)),Z),Z),inverse(X))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,15,theory(equality)]) ).
cnf(87,plain,
inverse(double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,Y)))),Z)) = Z,
inference('PARAMODULATE',[status(thm)],[17,16,theory(equality)]) ).
cnf(122,plain,
inverse(double_divide(inverse(double_divide(X,inverse(X))),Y)) = Y,
inference('PARAMODULATE',[status(thm)],[87,15,theory(equality)]) ).
cnf(129,plain,
inverse(double_divide(double_divide(double_divide(X,Y),Y),inverse(inverse(double_divide(Z,inverse(Z)))))) = X,
inference('PARAMODULATE',[status(thm)],[44,122,theory(equality)]) ).
cnf(133,plain,
double_divide(double_divide(X,Y),Y) = double_divide(double_divide(X,Z),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[16,122,theory(equality)]),122,theory(equality)]) ).
cnf(146,plain,
inverse(double_divide(double_divide(double_divide(inverse(double_divide(X,Y)),inverse(X)),Z),Z)) = Y,
inference('PARAMODULATE',[status(thm)],[44,133,theory(equality)]) ).
cnf(151,plain,
double_divide(X,inverse(double_divide(Y,Z))) = double_divide(double_divide(double_divide(inverse(double_divide(X,Y)),Z),U),U),
inference('PARAMODULATE',[status(thm)],[133,15,theory(equality)]) ).
cnf(152,plain,
inverse(double_divide(X,inverse(double_divide(Y,inverse(X))))) = Y,
inference('REWRITE',[status(thm)],[146,151,theory(equality)]) ).
cnf(172,plain,
X = inverse(double_divide(X,inverse(inverse(double_divide(Y,inverse(Y)))))),
inference('PARAMODULATE',[status(thm)],[122,152,theory(equality)]) ).
cnf(173,plain,
double_divide(double_divide(X,Y),Y) = X,
inference('REWRITE',[status(thm)],[129,172,theory(equality)]) ).
cnf(182,plain,
double_divide(X,inverse(double_divide(Y,Z))) = double_divide(inverse(double_divide(X,Y)),Z),
inference('REWRITE',[status(thm)],[151,173,theory(equality)]) ).
cnf(190,plain,
$false,
inference('REWRITE',[status(thm)],[4,182,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP595-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 12:02:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T12:02:05
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-13T12:02:05
% 0.38/0.58
% 0.38/0.58
% 0.38/0.58 #||
% 0.38/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.58 % SZS output start Refutation
% See solution above
% 0.38/0.58 ||#
% 0.38/0.58
% 0.38/0.58 ; Summary of computation:
% 0.38/0.58 ; 443 formulas have been input or derived (from 15 formulas).
% 0.38/0.58 ; 190 (43%) were retained. Of these,
% 0.38/0.58 ; 72 (38%) were simplified or subsumed later,
% 0.38/0.58 ; 118 (62%) are still being kept.
% 0.38/0.58 ;
% 0.38/0.58 ; Run time in seconds excluding printing time:
% 0.38/0.58 ; 0.001 1% Read assertion file (1 call)
% 0.38/0.58 ; 0.001 1% Assert (3 calls)
% 0.38/0.58 ; 0.028 27% Process new row (368 calls)
% 0.38/0.58 ; 0.002 2% Resolution (28 calls)
% 0.38/0.58 ; 0.013 12% Paramodulation (14 calls)
% 0.38/0.58 ; 0.015 14% Forward simplification (341 calls)
% 0.38/0.58 ; 0.013 12% Backward simplification (189 calls)
% 0.38/0.58 ; 0.007 7% Ordering (1,011 calls)
% 0.38/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.58 ; 0.000 0% Purity testing (1 call)
% 0.38/0.58 ; 0.024 23% Other
% 0.38/0.58 ; 0.104 Total
% 0.38/0.58 ; 0.106 Real time
% 0.38/0.58 ;
% 0.38/0.58 ; Term-hash-array has 907 terms in all.
% 0.38/0.58 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.38/0.58 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.38/0.58 ; Path-index has 601 entries (832 at peak, 919 added, 318 deleted).
% 0.38/0.58 ; Path-index has 2,198 nodes (2,410 at peak, 2,465 added, 267 deleted).
% 0.38/0.58 ; Trie-index has 601 entries (832 at peak, 919 added, 318 deleted).
% 0.38/0.58 ; Trie-index has 3,077 nodes (4,249 at peak, 4,519 added, 1,442 deleted).
% 0.38/0.58 ; Retrieved 414 generalization terms in 3,081 calls.
% 0.38/0.58 ; Retrieved 1,012 instance terms in 208 calls.
% 0.38/0.58 ; Retrieved 1,726 unifiable terms in 132 calls.
% 0.38/0.58 ;
% 0.38/0.58 ; The agenda of backward simplifiable rows to process has 42 entries:
% 0.38/0.58 ; 42 with value 0
% 0.38/0.58 ; The agenda of rows to process has 32 entries:
% 0.38/0.58 ; 2 with value 26 1 with value 31 4 with value 35
% 0.38/0.58 ; 2 with value 27 3 with value 32 1 with value 37
% 0.38/0.58 ; 5 with value 28 5 with value 33 1 with value 38
% 0.38/0.58 ; 2 with value 29 1 with value 34 1 with value 39
% 0.38/0.58 ; 4 with value 30
% 0.38/0.58 ; The agenda of rows to give has 109 entries:
% 0.38/0.58 ; 1 with value (4 16) 1 with value (4 27) 5 with value (4 34)
% 0.38/0.58 ; 1 with value (4 18) 6 with value (4 28) 18 with value (4 35)
% 0.38/0.58 ; 3 with value (4 22) 6 with value (4 29) 7 with value (4 36)
% 0.38/0.58 ; 1 with value (4 23) 7 with value (4 30) 6 with value (4 37)
% 0.38/0.58 ; 4 with value (4 24) 6 with value (4 31) 6 with value (4 38)
% 0.38/0.58 ; 1 with value (4 25) 9 with value (4 32) 9 with value (4 39)
% 0.38/0.58 ; 2 with value (4 26) 8 with value (4 33) 2 with value (4 40)
% 0.38/0.58 Evaluation took:
% 0.38/0.58 0.106 seconds of real time
% 0.38/0.58 0.096664 seconds of user run time
% 0.38/0.58 0.009894 seconds of system run time
% 0.38/0.58 0 calls to %EVAL
% 0.38/0.58 0 page faults and
% 0.38/0.58 7,460,856 bytes consed.
% 0.38/0.58 :PROOF-FOUND
% 0.38/0.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T12:02:05
% 0.38/0.58 :PROOF-FOUND
% 0.38/0.58 *
%------------------------------------------------------------------------------