TSTP Solution File: GRP448-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP448-1 : TPTP v8.1.0. Released v2.6.0.
% 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 11:38:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 11 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 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 : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X,divide(divide(divide(divide(Y,Y),Y),Z),divide(divide(divide(Y,Y),X),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(X,divide(divide(inverse(Y),Z),divide(inverse(X),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,
inverse(divide(divide(inverse(X),Y),inverse(Y))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[inverse,7,theory(equality)]),8,theory(equality)]) ).
cnf(24,plain,
inverse(divide(inverse(X),inverse(X))) = divide(Y,Y),
inference('PARAMODULATE',[status(thm)],[10,8,theory(equality)]) ).
cnf(26,plain,
divide(X,X) = divide(Y,Y),
inference('PARAMODULATE',[status(thm)],[24,24,theory(equality)]) ).
cnf(27,plain,
$false,
inference('REWRITE',[status(thm)],[6,26,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP448-1 : TPTP v8.1.0. Released v2.6.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 10:27:12 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-13T10:27:12
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-13T10:27:12
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 ||#
% 0.19/0.49
% 0.19/0.49 ; Summary of computation:
% 0.19/0.49 ; 63 formulas have been input or derived (from 10 formulas).
% 0.19/0.49 ; 27 (43%) were retained. Of these,
% 0.19/0.49 ; 7 (26%) were simplified or subsumed later,
% 0.19/0.49 ; 20 (74%) are still being kept.
% 0.19/0.49 ;
% 0.19/0.49 ; Run time in seconds excluding printing time:
% 0.19/0.49 ; 0.002 6% Read assertion file (1 call)
% 0.19/0.49 ; 0.000 0% Assert (4 calls)
% 0.19/0.49 ; 0.003 10% Process new row (49 calls)
% 0.19/0.49 ; 0.000 0% Resolution (18 calls)
% 0.19/0.49 ; 0.002 6% Paramodulation (9 calls)
% 0.19/0.49 ; 0.001 3% Forward simplification (45 calls)
% 0.19/0.49 ; 0.002 6% Backward simplification (27 calls)
% 0.19/0.49 ; 0.001 3% Ordering (132 calls)
% 0.19/0.49 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.49 ; 0.000 0% Purity testing (1 call)
% 0.19/0.49 ; 0.020 65% Other
% 0.19/0.49 ; 0.031 Total
% 0.19/0.49 ; 0.033 Real time
% 0.19/0.49 ;
% 0.19/0.49 ; Term-hash-array has 107 terms in all.
% 0.19/0.49 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.49 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.49 ; Path-index has 81 entries (88 at peak, 115 added, 34 deleted).
% 0.19/0.49 ; Path-index has 357 nodes (373 at peak, 416 added, 59 deleted).
% 0.19/0.49 ; Trie-index has 81 entries (88 at peak, 115 added, 34 deleted).
% 0.19/0.49 ; Trie-index has 345 nodes (372 at peak, 479 added, 134 deleted).
% 0.19/0.49 ; Retrieved 32 generalization terms in 225 calls.
% 0.19/0.49 ; Retrieved 59 instance terms in 27 calls.
% 0.19/0.49 ; Retrieved 143 unifiable terms in 63 calls.
% 0.19/0.49 ;
% 0.19/0.49 ; The agenda of rows to process has 13 entries:
% 0.19/0.49 ; 2 with value 14 6 with value 19 1 with value 21
% 0.19/0.49 ; 2 with value 18 2 with value 20
% 0.19/0.49 ; The agenda of rows to give has 14 entries:
% 0.19/0.49 ; 1 with value (4 12) 2 with value (4 19) 4 with value (4 23)
% 0.19/0.49 ; 2 with value (4 17) 2 with value (4 20) 2 with value (4 28)
% 0.19/0.49 ; 1 with value (4 18)
% 0.19/0.49 Evaluation took:
% 0.19/0.49 0.033 seconds of real time
% 0.19/0.49 0.030356 seconds of user run time
% 0.19/0.49 0.003244 seconds of system run time
% 0.19/0.49 0 calls to %EVAL
% 0.19/0.49 0 page faults and
% 0.19/0.49 2,387,120 bytes consed.
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T10:27:12
% 0.19/0.49 :PROOF-FOUND
% 0.19/0.49 *
%------------------------------------------------------------------------------