%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP612-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 11:39:40 EDT 2022
% Result : Unsatisfiable 0.36s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of clauses : 49 ( 49 unt; 0 nHn; 3 RR)
% Number of literals : 49 ( 48 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 142 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(double_divide(inverse(double_divide(inverse(double_divide(X,Y)),Z)),double_divide(X,Z))) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = inverse(double_divide(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_4) ).
cnf(4,plain,
inverse(double_divide(b,a)) != inverse(double_divide(a,b)),
inference('REWRITE',[status(thm)],[prove_these_axioms_4,multiply,theory(equality)]) ).
cnf(5,plain,
inverse(double_divide(X,double_divide(inverse(double_divide(Y,X)),double_divide(Y,Z)))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(6,plain,
inverse(double_divide(inverse(double_divide(X,Y)),double_divide(inverse(double_divide(inverse(double_divide(Z,X)),U)),Y))) = double_divide(Z,U),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = double_divide(inverse(double_divide(U,Z)),double_divide(U,X)),
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(8,plain,
inverse(double_divide(double_divide(inverse(double_divide(X,Y)),double_divide(X,Z)),double_divide(Z,double_divide(Y,U)))) = U,
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(11,plain,
double_divide(inverse(double_divide(X,Y)),double_divide(X,inverse(double_divide(Y,Z)))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).
cnf(12,plain,
double_divide(inverse(double_divide(X,Y)),double_divide(X,Z)) = double_divide(inverse(double_divide(U,Y)),double_divide(U,Z)),
inference('PARAMODULATE',[status(thm)],[7,7,theory(equality)]) ).
cnf(13,plain,
inverse(double_divide(X,inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(X,Z))))) = Y,
inference('PARAMODULATE',[status(thm)],[5,7,theory(equality)]) ).
cnf(23,plain,
inverse(double_divide(inverse(double_divide(double_divide(inverse(double_divide(X,Y)),double_divide(X,Z)),U)),double_divide(inverse(double_divide(Z,V)),U))) = double_divide(Y,V),
inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).
cnf(34,plain,
inverse(double_divide(inverse(X),double_divide(Y,double_divide(Y,inverse(double_divide(Z,X)))))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,11,theory(equality)]) ).
cnf(42,plain,
inverse(double_divide(X,double_divide(inverse(double_divide(inverse(double_divide(Y,Z)),X)),U))) = double_divide(Y,inverse(double_divide(Z,U))),
inference('PARAMODULATE',[status(thm)],[5,11,theory(equality)]) ).
cnf(69,plain,
inverse(double_divide(X,inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(Y,Z))))) = X,
inference('PARAMODULATE',[status(thm)],[13,12,theory(equality)]) ).
cnf(74,plain,
double_divide(X,double_divide(Y,inverse(double_divide(inverse(double_divide(inverse(double_divide(X,Z)),double_divide(Y,Z))),U)))) = U,
inference('PARAMODULATE',[status(thm)],[11,13,theory(equality)]) ).
cnf(95,plain,
inverse(double_divide(double_divide(inverse(double_divide(X,inverse(double_divide(Y,Z)))),double_divide(X,U)),double_divide(U,V))) = double_divide(Y,inverse(double_divide(Z,V))),
inference('PARAMODULATE',[status(thm)],[8,11,theory(equality)]) ).
cnf(113,plain,
inverse(double_divide(inverse(double_divide(X,Y)),double_divide(double_divide(Z,double_divide(Z,inverse(double_divide(U,V)))),Y))) = double_divide(U,double_divide(inverse(V),X)),
inference('PARAMODULATE',[status(thm)],[7,34,theory(equality)]) ).
cnf(122,plain,
inverse(double_divide(X,inverse(double_divide(inverse(Y),Y)))) = X,
inference('PARAMODULATE',[status(thm)],[69,11,theory(equality)]) ).
cnf(130,plain,
inverse(double_divide(inverse(inverse(double_divide(inverse(X),X))),double_divide(Y,double_divide(Y,Z)))) = Z,
inference('PARAMODULATE',[status(thm)],[34,122,theory(equality)]) ).
cnf(133,plain,
double_divide(X,double_divide(X,Y)) = double_divide(Z,double_divide(Z,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[12,122,theory(equality)]),122,theory(equality)]) ).
cnf(135,plain,
inverse(double_divide(X,double_divide(Y,inverse(double_divide(inverse(Z),Z))))) = double_divide(inverse(double_divide(U,Y)),double_divide(U,X)),
inference('PARAMODULATE',[status(thm)],[7,122,theory(equality)]) ).
cnf(146,plain,
inverse(double_divide(X,double_divide(X,double_divide(inverse(Y),inverse(double_divide(Z,Y)))))) = Z,
inference('PARAMODULATE',[status(thm)],[34,133,theory(equality)]) ).
cnf(149,plain,
double_divide(inverse(double_divide(X,Y)),double_divide(X,inverse(double_divide(Z,double_divide(Z,U))))) = double_divide(Y,U),
inference('PARAMODULATE',[status(thm)],[11,133,theory(equality)]) ).
cnf(150,plain,
inverse(double_divide(X,double_divide(inverse(double_divide(Y,X)),double_divide(Z,double_divide(Z,U))))) = double_divide(Y,U),
inference('PARAMODULATE',[status(thm)],[5,133,theory(equality)]) ).
cnf(151,plain,
double_divide(inverse(double_divide(X,Y)),Z) = double_divide(U,double_divide(U,double_divide(X,inverse(double_divide(Y,Z))))),
inference('PARAMODULATE',[status(thm)],[133,11,theory(equality)]) ).
cnf(152,plain,
inverse(double_divide(inverse(double_divide(inverse(X),Y)),X)) = Y,
inference('REWRITE',[status(thm)],[146,151,theory(equality)]) ).
cnf(170,plain,
inverse(double_divide(X,double_divide(inverse(Y),X))) = Y,
inference('PARAMODULATE',[status(thm)],[152,152,theory(equality)]) ).
cnf(172,plain,
X = inverse(double_divide(inverse(inverse(double_divide(inverse(Y),Y))),X)),
inference('PARAMODULATE',[status(thm)],[122,152,theory(equality)]) ).
cnf(173,plain,
double_divide(X,double_divide(X,Y)) = Y,
inference('REWRITE',[status(thm)],[130,172,theory(equality)]) ).
cnf(185,plain,
inverse(double_divide(inverse(double_divide(X,Y)),double_divide(inverse(double_divide(Z,U)),Y))) = double_divide(Z,double_divide(inverse(U),X)),
inference('REWRITE',[status(thm)],[113,173,theory(equality)]) ).
cnf(186,plain,
double_divide(inverse(double_divide(X,Y)),double_divide(inverse(Z),Y)) = double_divide(X,Z),
inference('REWRITE',[status(thm)],[6,185,theory(equality)]) ).
cnf(188,plain,
inverse(double_divide(X,double_divide(Y,Z))) = double_divide(Y,double_divide(inverse(Z),X)),
inference('REWRITE',[status(thm)],[185,186,theory(equality)]) ).
cnf(194,plain,
inverse(inverse(double_divide(X,inverse(double_divide(Y,Z))))) = double_divide(Y,inverse(double_divide(Z,X))),
inference('REWRITE',[status(thm)],[42,173,188,theory(equality)]) ).
cnf(213,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[170,173,188,theory(equality)]) ).
cnf(228,plain,
double_divide(X,inverse(double_divide(Y,Z))) = double_divide(Y,inverse(double_divide(Z,X))),
inference('REWRITE',[status(thm)],[194,213,theory(equality)]) ).
cnf(232,plain,
inverse(double_divide(inverse(double_divide(X,Y)),inverse(double_divide(double_divide(Y,Z),Z)))) = X,
inference('REWRITE',[status(thm)],[74,173,188,228,theory(equality)]) ).
cnf(248,plain,
inverse(double_divide(double_divide(inverse(double_divide(X,Y)),double_divide(X,Z)),double_divide(Z,U))) = double_divide(Y,U),
inference('REWRITE',[status(thm)],[23,186,theory(equality)]) ).
cnf(251,plain,
double_divide(inverse(double_divide(X,Y)),Z) = double_divide(X,inverse(double_divide(Y,Z))),
inference('REWRITE',[status(thm)],[95,248,theory(equality)]) ).
cnf(253,plain,
inverse(double_divide(inverse(X),inverse(double_divide(Y,X)))) = Y,
inference('REWRITE',[status(thm)],[152,251,theory(equality)]) ).
cnf(276,plain,
double_divide(inverse(double_divide(X,Y)),double_divide(X,inverse(Z))) = double_divide(Y,Z),
inference('REWRITE',[status(thm)],[149,173,theory(equality)]) ).
cnf(287,plain,
double_divide(X,double_divide(Y,double_divide(Z,Y))) = double_divide(Z,X),
inference('REWRITE',[status(thm)],[150,213,188,173,theory(equality)]) ).
cnf(306,plain,
inverse(X) = double_divide(X,inverse(double_divide(inverse(Y),Y))),
inference('PARAMODULATE',[status(thm)],[213,122,theory(equality)]) ).
cnf(307,plain,
inverse(double_divide(X,inverse(Y))) = double_divide(inverse(double_divide(Z,Y)),double_divide(Z,X)),
inference('REWRITE',[status(thm)],[135,306,theory(equality)]) ).
cnf(312,plain,
inverse(double_divide(inverse(X),inverse(Y))) = double_divide(Y,X),
inference('REWRITE',[status(thm)],[276,307,theory(equality)]) ).
cnf(317,plain,
double_divide(double_divide(X,Y),Y) = X,
inference('REWRITE',[status(thm)],[253,312,theory(equality)]) ).
cnf(319,plain,
double_divide(X,double_divide(Y,X)) = Y,
inference('REWRITE',[status(thm)],[232,317,312,theory(equality)]) ).
cnf(320,plain,
double_divide(X,Y) = double_divide(Y,X),
inference('REWRITE',[status(thm)],[287,319,theory(equality)]) ).
cnf(352,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,320,theory(equality)]),theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP612-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.05/0.10 % Command : run-snark %s %d
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Mon Jun 13 21:16:11 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.14/0.40 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40 *
% 0.14/0.40 *
% 0.14/0.41 #<PACKAGE "SNARK-USER">
% 0.14/0.41 *
% 0.14/0.41 SNARK-TPTP-OPTIONS
% 0.14/0.41 *
% 0.14/0.41 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.41 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.41 (USE-FACTORING :POS)
% 0.14/0.41 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.41 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.41 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.41 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.41 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.41 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.41 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.41 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.41 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.41 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.41 *
% 0.14/0.41 "."
% 0.14/0.41 *
% 0.14/0.41 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T21:16:11
% 0.14/0.41 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-13T21:16:11
% 0.36/0.55
% 0.36/0.55
% 0.36/0.55 #||
% 0.36/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.55 % SZS output start Refutation
% See solution above
% 0.37/0.56 ||#
% 0.37/0.56
% 0.37/0.56 ; Summary of computation:
% 0.37/0.56 ; 693 formulas have been input or derived (from 20 formulas).
% 0.37/0.56 ; 352 (51%) were retained. Of these,
% 0.37/0.56 ; 272 (77%) were simplified or subsumed later,
% 0.37/0.56 ; 80 (23%) are still being kept.
% 0.37/0.56 ;
% 0.37/0.56 ; Run time in seconds excluding printing time:
% 0.37/0.56 ; 0.001 1% Read assertion file (1 call)
% 0.37/0.56 ; 0.000 0% Assert (3 calls)
% 0.37/0.56 ; 0.037 26% Process new row (685 calls)
% 0.37/0.56 ; 0.000 0% Resolution (38 calls)
% 0.37/0.56 ; 0.012 8% Paramodulation (19 calls)
% 0.37/0.56 ; 0.036 25% Forward simplification (624 calls)
% 0.37/0.56 ; 0.021 15% Backward simplification (351 calls)
% 0.37/0.56 ; 0.023 16% Ordering (3,095 calls)
% 0.37/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.56 ; 0.000 0% Purity testing (1 call)
% 0.37/0.56 ; 0.013 9% Other
% 0.37/0.56 ; 0.143 Total
% 0.37/0.56 ; 0.155 Real time
% 0.37/0.56 ;
% 0.37/0.56 ; Term-hash-array has 1,609 terms in all.
% 0.37/0.56 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.37/0.56 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.37/0.56 ; Path-index has 359 entries (960 at peak, 1,760 added, 1,401 deleted).
% 0.37/0.56 ; Path-index has 2,399 nodes (2,828 at peak, 3,393 added, 994 deleted).
% 0.37/0.56 ; Trie-index has 359 entries (960 at peak, 1,760 added, 1,401 deleted).
% 0.37/0.56 ; Trie-index has 1,650 nodes (4,156 at peak, 7,285 added, 5,635 deleted).
% 0.37/0.56 ; Retrieved 2,031 generalization terms in 5,522 calls.
% 0.37/0.56 ; Retrieved 2,889 instance terms in 420 calls.
% 0.37/0.56 ; Retrieved 2,838 unifiable terms in 152 calls.
% 0.37/0.56 ;
% 0.37/0.56 ; The agenda of rows to process has 3 entries:
% 0.37/0.56 ; 3 with value 20
% 0.37/0.56 ; The agenda of rows to give has 72 entries:
% 0.37/0.56 ; 1 with value (4 17) 3 with value (4 24) 6 with value (4 30)
% 0.37/0.56 ; 2 with value (4 18) 9 with value (4 25) 4 with value (4 31)
% 0.37/0.56 ; 1 with value (4 20) 4 with value (4 26) 2 with value (4 32)
% 0.37/0.56 ; 5 with value (4 21) 2 with value (4 27) 5 with value (4 33)
% 0.37/0.56 ; 9 with value (4 22) 7 with value (4 28) 2 with value (4 35)
% 0.37/0.56 ; 3 with value (4 23) 5 with value (4 29) 2 with value (4 36)
% 0.37/0.56 Evaluation took:
% 0.37/0.56 0.155 seconds of real time
% 0.37/0.56 0.14239 seconds of user run time
% 0.37/0.56 0.012153 seconds of system run time
% 0.37/0.56 [Run times include 0.006 seconds GC run time.]
% 0.37/0.56 0 calls to %EVAL
% 0.37/0.56 0 page faults and
% 0.37/0.56 16,100,328 bytes consed.
% 0.37/0.56 :PROOF-FOUND
% 0.37/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T21:16:12
% 0.37/0.56 :PROOF-FOUND
% 0.37/0.56 *
%------------------------------------------------------------------------------