TSTP Solution File: GRP548-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 11:39:22 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 4 RR)
% Number of literals : 19 ( 18 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(identity,divide(X,Y)),divide(divide(Y,Z),X)) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,divide(identity,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(inverse,axiom,
inverse(X) = divide(identity,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
cnf(identity,axiom,
identity = divide(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
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(6,plain,
multiply(X,Y) = divide(X,inverse(Y)),
inference('REWRITE',[status(thm)],[multiply,inverse,theory(equality)]) ).
cnf(7,plain,
divide(a,inverse(b)) != divide(b,inverse(a)),
inference('REWRITE',[status(thm)],[prove_these_axioms_4,6,theory(equality)]) ).
cnf(8,plain,
divide(inverse(divide(X,Y)),divide(divide(Y,Z),X)) = Z,
inference('REWRITE',[status(thm)],[single_axiom,inverse,theory(equality)]) ).
cnf(9,plain,
identity = inverse(identity),
inference('PARAMODULATE',[status(thm)],[identity,inverse,theory(equality)]) ).
cnf(10,plain,
inverse(divide(divide(X,Y),X)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,identity,theory(equality)]),inverse,9,theory(equality)]) ).
cnf(11,plain,
divide(inverse(divide(X,Y)),inverse(X)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,identity,theory(equality)]),inverse,theory(equality)]) ).
cnf(12,plain,
divide(inverse(inverse(X)),divide(divide(X,Y),identity)) = Y,
inference('PARAMODULATE',[status(thm)],[8,inverse,theory(equality)]) ).
cnf(14,plain,
divide(X,identity) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,identity,theory(equality)]),10,theory(equality)]) ).
cnf(16,plain,
divide(inverse(inverse(X)),divide(X,Y)) = Y,
inference('REWRITE',[status(thm)],[12,14,theory(equality)]) ).
cnf(20,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,identity,theory(equality)]),inverse,theory(equality)]) ).
cnf(21,plain,
divide(X,divide(X,Y)) = Y,
inference('REWRITE',[status(thm)],[16,20,theory(equality)]) ).
cnf(27,plain,
divide(inverse(X),inverse(Y)) = divide(Y,X),
inference('PARAMODULATE',[status(thm)],[11,21,theory(equality)]) ).
cnf(35,plain,
divide(X,inverse(Y)) = divide(Y,inverse(X)),
inference('PARAMODULATE',[status(thm)],[27,20,theory(equality)]) ).
cnf(36,plain,
$false,
inference('REWRITE',[status(thm)],[7,35,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP548-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n005.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 : Tue Jun 14 09:24:09 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 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T09:24:09
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-14T09:24:09
% 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 ; 98 formulas have been input or derived (from 15 formulas).
% 0.20/0.52 ; 36 (37%) were retained. Of these,
% 0.20/0.52 ; 17 (47%) were simplified or subsumed later,
% 0.20/0.52 ; 19 (53%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.002 6% Read assertion file (1 call)
% 0.20/0.52 ; 0.000 0% Assert (5 calls)
% 0.20/0.52 ; 0.003 8% Process new row (94 calls)
% 0.20/0.52 ; 0.001 3% Resolution (28 calls)
% 0.20/0.52 ; 0.002 6% Paramodulation (14 calls)
% 0.20/0.52 ; 0.004 11% Forward simplification (84 calls)
% 0.20/0.52 ; 0.002 6% Backward simplification (36 calls)
% 0.20/0.52 ; 0.001 3% Ordering (230 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.021 58% Other
% 0.20/0.52 ; 0.036 Total
% 0.20/0.52 ; 0.038 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 103 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.52 ; Path-index has 51 entries (65 at peak, 118 added, 67 deleted).
% 0.20/0.52 ; Path-index has 174 nodes (210 at peak, 268 added, 94 deleted).
% 0.20/0.52 ; Trie-index has 51 entries (65 at peak, 118 added, 67 deleted).
% 0.20/0.52 ; Trie-index has 169 nodes (219 at peak, 409 added, 240 deleted).
% 0.20/0.52 ; Retrieved 184 generalization terms in 291 calls.
% 0.20/0.52 ; Retrieved 114 instance terms in 43 calls.
% 0.20/0.52 ; Retrieved 177 unifiable terms in 81 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 2 entries:
% 0.20/0.52 ; 1 with value 15 1 with value 17
% 0.20/0.52 ; The agenda of rows to give has 9 entries:
% 0.20/0.52 ; 1 with value (4 14) 2 with value (4 16) 1 with value (4 23)
% 0.20/0.52 ; 4 with value (4 15) 1 with value (4 17)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.038 seconds of real time
% 0.20/0.52 0.0323 seconds of user run time
% 0.20/0.52 0.006442 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,906,872 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T09:24:09
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------