TSTP Solution File: GRP451-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 11:38:56 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 3 RR)
% Number of literals : 17 ( 16 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 : 30 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(divide(X,X),divide(X,divide(Y,divide(divide(divide(X,X),X),Z)))),Z) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(divide(Z,Z),Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(inverse,axiom,
inverse(X) = divide(divide(Y,Y),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
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(5,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(6,plain,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference('REWRITE',[status(thm)],[prove_these_axioms_1,5,theory(equality)]) ).
cnf(7,plain,
divide(inverse(divide(X,divide(Y,divide(inverse(X),Z)))),Z) = Y,
inference('REWRITE',[status(thm)],[single_axiom,inverse,theory(equality)]) ).
cnf(8,plain,
inverse(X) = divide(inverse(divide(Y,Y)),X),
inference('PARAMODULATE',[status(thm)],[inverse,inverse,theory(equality)]) ).
cnf(10,plain,
divide(inverse(inverse(divide(X,inverse(Y)))),Y) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,inverse,theory(equality)]),8,theory(equality)]) ).
cnf(13,plain,
inverse(X) = divide(inverse(inverse(divide(Y,Y))),X),
inference('PARAMODULATE',[status(thm)],[inverse,8,theory(equality)]) ).
cnf(18,plain,
divide(inverse(inverse(X)),Y) = inverse(inverse(divide(X,inverse(inverse(Y))))),
inference('PARAMODULATE',[status(thm)],[10,10,theory(equality)]) ).
cnf(19,plain,
inverse(inverse(divide(divide(X,inverse(Y)),inverse(inverse(Y))))) = X,
inference('REWRITE',[status(thm)],[10,18,theory(equality)]) ).
cnf(28,plain,
inverse(inverse(divide(divide(X,Y),inverse(Y)))) = X,
inference('PARAMODULATE',[status(thm)],[19,19,theory(equality)]) ).
cnf(29,plain,
inverse(inverse(inverse(inverse(X)))) = X,
inference('PARAMODULATE',[status(thm)],[28,inverse,theory(equality)]) ).
cnf(37,plain,
inverse(inverse(X)) = divide(divide(X,Y),inverse(Y)),
inference('PARAMODULATE',[status(thm)],[29,28,theory(equality)]) ).
cnf(43,plain,
divide(X,X) = divide(inverse(Y),inverse(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,13,theory(equality)]),29,theory(equality)]) ).
cnf(44,plain,
$false,
inference('REWRITE',[status(thm)],[6,43,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n017.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 21:56:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T21:56:08
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-13T21:56:08
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 101 formulas have been input or derived (from 13 formulas).
% 0.20/0.52 ; 44 (44%) were retained. Of these,
% 0.20/0.52 ; 23 (52%) were simplified or subsumed later,
% 0.20/0.52 ; 21 (48%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.002 5% Read assertion file (1 call)
% 0.20/0.53 ; 0.000 0% Assert (4 calls)
% 0.20/0.53 ; 0.006 16% Process new row (94 calls)
% 0.20/0.53 ; 0.000 0% Resolution (24 calls)
% 0.20/0.53 ; 0.002 5% Paramodulation (12 calls)
% 0.20/0.53 ; 0.003 8% Forward simplification (80 calls)
% 0.20/0.53 ; 0.003 8% Backward simplification (44 calls)
% 0.20/0.53 ; 0.001 3% Ordering (248 calls)
% 0.20/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.021 55% Other
% 0.20/0.53 ; 0.038 Total
% 0.20/0.53 ; 0.041 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 155 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.53 ; Path-index has 75 entries (89 at peak, 170 added, 95 deleted).
% 0.20/0.53 ; Path-index has 459 nodes (476 at peak, 601 added, 142 deleted).
% 0.20/0.53 ; Trie-index has 75 entries (89 at peak, 170 added, 95 deleted).
% 0.20/0.53 ; Trie-index has 284 nodes (381 at peak, 668 added, 384 deleted).
% 0.20/0.53 ; Retrieved 71 generalization terms in 466 calls.
% 0.20/0.53 ; Retrieved 79 instance terms in 48 calls.
% 0.20/0.53 ; Retrieved 169 unifiable terms in 86 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of rows to process has 1 entry:
% 0.20/0.53 ; 1 with value 26
% 0.20/0.53 ; The agenda of rows to give has 13 entries:
% 0.20/0.53 ; 1 with value (4 17) 2 with value (4 21) 1 with value (4 24)
% 0.20/0.53 ; 1 with value (4 19) 3 with value (4 22) 1 with value (4 25)
% 0.20/0.53 ; 2 with value (4 20) 1 with value (4 23) 1 with value (4 26)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.041 seconds of real time
% 0.20/0.53 0.031017 seconds of user run time
% 0.20/0.53 0.009784 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 3,161,112 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T21:56:08
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------