TSTP Solution File: GRP598-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP598-1 : 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 11:39:36 EDT 2022
% Result : Unsatisfiable 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of clauses : 18 ( 18 unt; 0 nHn; 5 RR)
% Number of literals : 18 ( 17 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(double_divide(inverse(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_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(4,plain,
inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2,
inference('REWRITE',[status(thm)],[prove_these_axioms_2,multiply,theory(equality)]) ).
cnf(5,plain,
double_divide(double_divide(double_divide(inverse(X),Y),inverse(double_divide(inverse(Z),Y))),inverse(Z)) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(6,plain,
double_divide(X,inverse(double_divide(double_divide(Y,Z),inverse(double_divide(inverse(U),inverse(double_divide(Y,inverse(double_divide(inverse(X),Z))))))))) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(21,plain,
double_divide(X,inverse(double_divide(inverse(Y),inverse(X)))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]),single_axiom,theory(equality)]) ).
cnf(38,plain,
double_divide(double_divide(X,inverse(X)),inverse(Y)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,21,theory(equality)]) ).
cnf(39,plain,
double_divide(double_divide(inverse(X),inverse(inverse(Y))),inverse(X)) = Y,
inference('PARAMODULATE',[status(thm)],[21,21,theory(equality)]) ).
cnf(54,plain,
double_divide(inverse(X),inverse(double_divide(Y,inverse(Y)))) = X,
inference('PARAMODULATE',[status(thm)],[21,38,theory(equality)]) ).
cnf(61,plain,
double_divide(X,inverse(Y)) = double_divide(inverse(Y),inverse(inverse(X))),
inference('PARAMODULATE',[status(thm)],[5,39,theory(equality)]) ).
cnf(74,plain,
double_divide(double_divide(X,inverse(Y)),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[39,61,theory(equality)]) ).
cnf(75,plain,
double_divide(X,inverse(X)) = double_divide(Y,inverse(Y)),
inference('PARAMODULATE',[status(thm)],[74,38,theory(equality)]) ).
cnf(89,plain,
inverse(double_divide(a2,inverse(double_divide(X,inverse(X))))) != a2,
inference('PARAMODULATE',[status(thm)],[4,75,theory(equality)]) ).
cnf(94,plain,
double_divide(X,inverse(double_divide(Y,inverse(Y)))) = inverse(X),
inference('PARAMODULATE',[status(thm)],[74,54,theory(equality)]) ).
cnf(98,plain,
inverse(inverse(a2)) != a2,
inference('REWRITE',[status(thm)],[89,94,theory(equality)]) ).
cnf(99,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[54,94,theory(equality)]) ).
cnf(114,plain,
$false,
inference('REWRITE',[status(thm)],[98,99,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP598-1 : TPTP v8.1.0. Released v2.6.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 10:14:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-14T10:14:35
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-14T10:14:35
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.55 ||#
% 0.19/0.55
% 0.19/0.55 ; Summary of computation:
% 0.19/0.55 ; 207 formulas have been input or derived (from 14 formulas).
% 0.19/0.55 ; 114 (55%) were retained. Of these,
% 0.19/0.55 ; 60 (53%) were simplified or subsumed later,
% 0.19/0.55 ; 54 (47%) are still being kept.
% 0.19/0.55 ;
% 0.19/0.55 ; Run time in seconds excluding printing time:
% 0.19/0.55 ; 0.001 1% Read assertion file (1 call)
% 0.19/0.55 ; 0.000 0% Assert (3 calls)
% 0.19/0.55 ; 0.024 30% Process new row (190 calls)
% 0.19/0.55 ; 0.002 2% Resolution (26 calls)
% 0.19/0.55 ; 0.008 10% Paramodulation (13 calls)
% 0.19/0.55 ; 0.009 11% Forward simplification (180 calls)
% 0.19/0.55 ; 0.012 15% Backward simplification (113 calls)
% 0.19/0.55 ; 0.001 1% Ordering (388 calls)
% 0.19/0.55 ; 0.001 1% Sortal reasoning (32 calls)
% 0.19/0.55 ; 0.000 0% Purity testing (1 call)
% 0.19/0.55 ; 0.022 28% Other
% 0.19/0.55 ; 0.080 Total
% 0.19/0.55 ; 0.082 Real time
% 0.19/0.55 ;
% 0.19/0.55 ; Term-hash-array has 840 terms in all.
% 0.19/0.55 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.55 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.55 ; Path-index has 391 entries (544 at peak, 876 added, 485 deleted).
% 0.19/0.55 ; Path-index has 1,907 nodes (2,217 at peak, 2,489 added, 582 deleted).
% 0.19/0.55 ; Trie-index has 391 entries (544 at peak, 876 added, 485 deleted).
% 0.19/0.55 ; Trie-index has 1,987 nodes (3,557 at peak, 5,124 added, 3,137 deleted).
% 0.19/0.55 ; Retrieved 584 generalization terms in 1,203 calls.
% 0.19/0.55 ; Retrieved 735 instance terms in 112 calls.
% 0.19/0.55 ; Retrieved 1,401 unifiable terms in 121 calls.
% 0.19/0.55 ;
% 0.19/0.55 ; The agenda of rows to process has 9 entries:
% 0.19/0.55 ; 2 with value 20 1 with value 30 1 with value 36
% 0.19/0.55 ; 1 with value 21 1 with value 31 1 with value 42
% 0.19/0.55 ; 2 with value 26
% 0.19/0.55 ; The agenda of rows to give has 46 entries:
% 0.19/0.55 ; 1 with value (4 12) 1 with value (4 29) 1 with value (4 41)
% 0.19/0.55 ; 1 with value (4 15) 1 with value (4 30) 2 with value (4 42)
% 0.19/0.55 ; 1 with value (4 16) 1 with value (4 32) 1 with value (4 44)
% 0.19/0.55 ; 2 with value (4 19) 3 with value (4 33) 1 with value (4 45)
% 0.19/0.55 ; 1 with value (4 20) 2 with value (4 34) 2 with value (4 48)
% 0.19/0.55 ; 1 with value (4 23) 1 with value (4 35) 1 with value (4 49)
% 0.19/0.55 ; 3 with value (4 24) 2 with value (4 36) 1 with value (4 50)
% 0.19/0.55 ; 2 with value (4 25) 1 with value (4 37) 1 with value (4 51)
% 0.19/0.55 ; 4 with value (4 26) 2 with value (4 39) 1 with value (4 52)
% 0.19/0.55 ; 2 with value (4 27) 2 with value (4 40) 1 with value (4 56)
% 0.19/0.55 Evaluation took:
% 0.19/0.55 0.083 seconds of real time
% 0.19/0.55 0.072802 seconds of user run time
% 0.19/0.55 0.010153 seconds of system run time
% 0.19/0.55 0 calls to %EVAL
% 0.19/0.55 0 page faults and
% 0.19/0.55 6,223,776 bytes consed.
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T10:14:35
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 *
%------------------------------------------------------------------------------