TSTP Solution File: GRP499-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP499-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 11:39:09 EDT 2022
% Result : Unsatisfiable 1.74s 1.97s
% Output : Refutation 1.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of clauses : 25 ( 25 unt; 0 nHn; 3 RR)
% Number of literals : 25 ( 24 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 82 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(X),inverse(double_divide(inverse(double_divide(X,double_divide(Y,Z))),double_divide(U,double_divide(Y,U))))) = Z,
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_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(4,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference('REWRITE',[status(thm)],[prove_these_axioms_1,multiply,theory(equality)]) ).
cnf(5,plain,
double_divide(inverse(X),inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,double_divide(inverse(U),Z))))) = inverse(double_divide(inverse(double_divide(U,double_divide(V,Y))),double_divide(W,double_divide(V,W)))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
inverse(double_divide(inverse(double_divide(X,double_divide(Y,double_divide(inverse(X),Z)))),double_divide(U,double_divide(Y,U)))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(8,plain,
double_divide(inverse(X),double_divide(inverse(Y),inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(U,double_divide(inverse(X),U)))))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(26,plain,
double_divide(inverse(inverse(double_divide(X,double_divide(Y,double_divide(inverse(X),Z))))),inverse(double_divide(Z,double_divide(U,double_divide(V,U))))) = double_divide(Y,V),
inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).
cnf(36,plain,
double_divide(X,double_divide(inverse(Y),inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(U,double_divide(X,U)))))) = Z,
inference('PARAMODULATE',[status(thm)],[8,7,theory(equality)]) ).
cnf(42,plain,
double_divide(X,double_divide(Y,X)) = double_divide(Z,double_divide(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[36,7,theory(equality)]),26,theory(equality)]) ).
cnf(56,plain,
double_divide(X,double_divide(Y,X)) = double_divide(double_divide(Z,Y),double_divide(U,double_divide(Z,U))),
inference('PARAMODULATE',[status(thm)],[42,42,theory(equality)]) ).
cnf(57,plain,
double_divide(inverse(X),inverse(double_divide(inverse(double_divide(Y,double_divide(Z,Y))),double_divide(U,double_divide(Z,U))))) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,42,theory(equality)]) ).
cnf(58,plain,
inverse(double_divide(inverse(double_divide(X,double_divide(Y,double_divide(inverse(X),Y)))),double_divide(Z,double_divide(U,Z)))) = U,
inference('PARAMODULATE',[status(thm)],[7,42,theory(equality)]) ).
cnf(73,plain,
double_divide(X,double_divide(double_divide(Y,Z),X)) = double_divide(double_divide(U,double_divide(Y,U)),double_divide(V,double_divide(Z,V))),
inference('PARAMODULATE',[status(thm)],[42,56,theory(equality)]) ).
cnf(82,plain,
inverse(double_divide(inverse(double_divide(X,double_divide(Y,double_divide(Z,Y)))),double_divide(U,double_divide(double_divide(V,Z),U)))) = double_divide(V,inverse(X)),
inference('PARAMODULATE',[status(thm)],[7,56,theory(equality)]) ).
cnf(146,plain,
double_divide(inverse(X),double_divide(Y,inverse(double_divide(Z,double_divide(Y,Z))))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,73,theory(equality)]),82,theory(equality)]) ).
cnf(189,plain,
double_divide(X,double_divide(inverse(Y),X)) = double_divide(double_divide(Z,inverse(double_divide(U,double_divide(Z,U)))),Y),
inference('PARAMODULATE',[status(thm)],[42,146,theory(equality)]) ).
cnf(449,plain,
inverse(double_divide(X,double_divide(Y,inverse(double_divide(Z,double_divide(Y,Z)))))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[58,189,theory(equality)]),58,theory(equality)]) ).
cnf(1689,plain,
double_divide(X,Y) = inverse(double_divide(Z,double_divide(X,double_divide(inverse(Z),inverse(double_divide(U,double_divide(Y,U))))))),
inference('PARAMODULATE',[status(thm)],[57,26,theory(equality)]) ).
cnf(1831,plain,
double_divide(inverse(X),inverse(Y)) = inverse(double_divide(Y,X)),
inference('PARAMODULATE',[status(thm)],[1689,146,theory(equality)]) ).
cnf(2338,plain,
double_divide(X,double_divide(inverse(Y),X)) = inverse(double_divide(double_divide(Z,Y),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[42,1831,theory(equality)]),1831,theory(equality)]) ).
cnf(2371,plain,
double_divide(inverse(X),Y) = inverse(double_divide(double_divide(Y,double_divide(Z,inverse(double_divide(U,double_divide(Z,U))))),X)),
inference('PARAMODULATE',[status(thm)],[1831,449,theory(equality)]) ).
cnf(2412,plain,
inverse(double_divide(double_divide(X,Y),X)) = inverse(double_divide(double_divide(Z,Y),Z)),
inference('PARAMODULATE',[status(thm)],[2338,2338,theory(equality)]) ).
cnf(2543,plain,
inverse(double_divide(X,inverse(X))) = double_divide(inverse(Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2412,146,theory(equality)]),2371,theory(equality)]) ).
cnf(2667,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,2543,theory(equality)]),2543,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP499-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 05:38:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.50 SNARK-TPTP-OPTIONS
% 0.20/0.50 *
% 0.20/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.50 (USE-FACTORING :POS)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.50 *
% 0.20/0.50 "."
% 0.20/0.50 *
% 0.20/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T05:38:57
% 0.20/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-13T05:38:57
% 1.74/1.97
% 1.74/1.97
% 1.74/1.97 #||
% 1.74/1.97 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.74/1.97 % SZS output start Refutation
% See solution above
% 1.74/1.97 ||#
% 1.74/1.97
% 1.74/1.97 ; Summary of computation:
% 1.74/1.97 ; 8446 formulas have been input or derived (from 46 formulas).
% 1.74/1.97 ; 2667 (32%) were retained. Of these,
% 1.74/1.97 ; 521 (20%) were simplified or subsumed later,
% 1.74/1.97 ; 2146 (80%) are still being kept.
% 1.74/1.97 ;
% 1.74/1.97 ; Run time in seconds excluding printing time:
% 1.74/1.97 ; 0.001 0% Read assertion file (1 call)
% 1.74/1.97 ; 0.000 0% Assert (3 calls)
% 1.74/1.97 ; 0.465 32% Process new row (8,206 calls)
% 1.74/1.97 ; 0.010 1% Resolution (90 calls)
% 1.74/1.97 ; 0.190 13% Paramodulation (45 calls)
% 1.74/1.97 ; 0.493 33% Forward simplification (7,458 calls)
% 1.74/1.97 ; 0.244 17% Backward simplification (2,666 calls)
% 1.74/1.97 ; 0.026 2% Ordering (13,800 calls)
% 1.74/1.97 ; 0.001 0% Sortal reasoning (32 calls)
% 1.74/1.97 ; 0.000 0% Purity testing (1 call)
% 1.74/1.97 ; 0.044 3% Other
% 1.74/1.97 ; 1.474 Total
% 1.74/1.97 ; 1.477 Real time
% 1.74/1.97 ;
% 1.74/1.97 ; Term-hash-array has 10,915 terms in all.
% 1.74/1.97 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.74/1.97 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.74/1.97 ; Path-index has 8,816 entries (8,816 at peak, 11,502 added, 2,686 deleted).
% 1.74/1.97 ; Path-index has 13,443 nodes (13,443 at peak, 14,681 added, 1,238 deleted).
% 1.74/1.97 ; Trie-index has 8,816 entries (8,816 at peak, 11,502 added, 2,686 deleted).
% 1.74/1.97 ; Trie-index has 50,720 nodes (50,720 at peak, 67,277 added, 16,557 deleted).
% 1.74/1.97 ; Retrieved 20,672 generalization terms in 67,472 calls.
% 1.74/1.97 ; Retrieved 18,611 instance terms in 2,686 calls.
% 1.74/1.97 ; Retrieved 69,711 unifiable terms in 481 calls.
% 1.74/1.97 ;
% 1.74/1.97 ; The agenda of rows to process has 155 entries:
% 1.74/1.97 ; 1 with value 26 9 with value 35 5 with value 42
% 1.74/1.97 ; 2 with value 27 19 with value 36 7 with value 43
% 1.74/1.97 ; 2 with value 28 3 with value 37 14 with value 44
% 1.74/1.97 ; 7 with value 31 7 with value 38 6 with value 45
% 1.74/1.97 ; 4 with value 32 14 with value 39 1 with value 46
% 1.74/1.97 ; 1 with value 33 25 with value 40 2 with value 47
% 1.74/1.97 ; 6 with value 34 19 with value 41 1 with value 48
% 1.74/1.97 ; The agenda of rows to give has 2110 entries:
% 1.74/1.97 ; 1 with value (4 24) 110 with value (4 41) 23 with value (4 53)
% 1.74/1.97 ; 4 with value (4 29) 91 with value (4 42) 22 with value (4 54)
% 1.74/1.97 ; 2 with value (4 30) 106 with value (4 43) 35 with value (4 55)
% 1.74/1.97 ; 11 with value (4 31) 205 with value (4 44) 37 with value (4 56)
% 1.74/1.97 ; 8 with value (4 32) 196 with value (4 45) 12 with value (4 57)
% 1.74/1.97 ; 15 with value (4 33) 154 with value (4 46) 13 with value (4 58)
% 1.74/1.97 ; 27 with value (4 34) 161 with value (4 47) 18 with value (4 59)
% 1.74/1.97 ; 34 with value (4 35) 180 with value (4 48) 9 with value (4 60)
% 1.74/1.97 ; 44 with value (4 36) 127 with value (4 49) 6 with value (4 61)
% 1.74/1.97 ; 33 with value (4 37) 61 with value (4 50) 2 with value (4 62)
% 1.74/1.97 ; 36 with value (4 38) 55 with value (4 51) 3 with value (4 63)
% 1.74/1.97 ; 79 with value (4 39) 64 with value (4 52) 1 with value (4 65)
% 1.74/1.97 ; 125 with value (4 40)
% 1.74/1.97 Evaluation took:
% 1.74/1.97 1.477 seconds of real time
% 1.74/1.97 1.405544 seconds of user run time
% 1.74/1.97 0.072092 seconds of system run time
% 1.74/1.97 [Run times include 0.164 seconds GC run time.]
% 1.74/1.97 0 calls to %EVAL
% 1.74/1.97 0 page faults and
% 1.74/1.97 95,914,744 bytes consed.
% 1.74/1.97 :PROOF-FOUND
% 1.74/1.97 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T05:38:58
% 1.74/1.97 :PROOF-FOUND
% 1.74/1.97 *
%------------------------------------------------------------------------------