TSTP Solution File: GRP557-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 11:39:24 EDT 2022
% Result : Unsatisfiable 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 4 RR)
% Number of literals : 13 ( 12 equ; 3 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 : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(X,inverse(divide(divide(Y,Z),divide(X,Z)))) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,inverse(Y)),
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,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference('REWRITE',[status(thm)],[prove_these_axioms_1,multiply,theory(equality)]) ).
cnf(5,plain,
divide(X,inverse(divide(Y,divide(X,inverse(divide(divide(Y,Z),divide(U,Z))))))) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
divide(X,inverse(divide(Y,Y))) = X,
inference('PARAMODULATE',[status(thm)],[5,single_axiom,theory(equality)]) ).
cnf(13,plain,
divide(X,inverse(divide(Y,X))) = Y,
inference('PARAMODULATE',[status(thm)],[5,7,theory(equality)]) ).
cnf(16,plain,
divide(inverse(divide(X,Y)),inverse(X)) = Y,
inference('PARAMODULATE',[status(thm)],[13,13,theory(equality)]) ).
cnf(28,plain,
divide(inverse(X),inverse(Y)) = inverse(divide(X,Y)),
inference('PARAMODULATE',[status(thm)],[13,16,theory(equality)]) ).
cnf(31,plain,
inverse(divide(divide(X,Y),X)) = Y,
inference('REWRITE',[status(thm)],[16,28,theory(equality)]) ).
cnf(33,plain,
inverse(divide(a1,a1)) != inverse(divide(b1,b1)),
inference('REWRITE',[status(thm)],[4,28,theory(equality)]) ).
cnf(34,plain,
inverse(divide(X,X)) = inverse(divide(Y,Y)),
inference('PARAMODULATE',[status(thm)],[31,7,theory(equality)]) ).
cnf(35,plain,
$false,
inference('REWRITE',[status(thm)],[33,34,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP557-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n020.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 00:34:20 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T00:34:20
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-14T00:34:20
% 0.22/0.53
% 0.22/0.53
% 0.22/0.53 #||
% 0.22/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.53 % SZS output start Refutation
% See solution above
% 0.22/0.53 ||#
% 0.22/0.53
% 0.22/0.53 ; Summary of computation:
% 0.22/0.53 ; 77 formulas have been input or derived (from 11 formulas).
% 0.22/0.53 ; 35 (45%) were retained. Of these,
% 0.22/0.53 ; 8 (23%) were simplified or subsumed later,
% 0.22/0.53 ; 27 (77%) are still being kept.
% 0.22/0.53 ;
% 0.22/0.53 ; Run time in seconds excluding printing time:
% 0.22/0.53 ; 0.001 3% Read assertion file (1 call)
% 0.22/0.54 ; 0.000 0% Assert (3 calls)
% 0.22/0.54 ; 0.004 11% Process new row (66 calls)
% 0.22/0.54 ; 0.000 0% Resolution (20 calls)
% 0.22/0.54 ; 0.003 8% Paramodulation (10 calls)
% 0.22/0.54 ; 0.001 3% Forward simplification (54 calls)
% 0.22/0.54 ; 0.004 11% Backward simplification (34 calls)
% 0.22/0.54 ; 0.000 0% Ordering (160 calls)
% 0.22/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.22/0.54 ; 0.000 0% Purity testing (1 call)
% 0.22/0.54 ; 0.024 65% Other
% 0.22/0.54 ; 0.037 Total
% 0.22/0.54 ; 0.038 Real time
% 0.22/0.54 ;
% 0.22/0.54 ; Term-hash-array has 192 terms in all.
% 0.22/0.54 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.22/0.54 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.22/0.54 ; Path-index has 168 entries (176 at peak, 203 added, 35 deleted).
% 0.22/0.54 ; Path-index has 713 nodes (727 at peak, 763 added, 50 deleted).
% 0.22/0.54 ; Trie-index has 168 entries (176 at peak, 203 added, 35 deleted).
% 0.22/0.54 ; Trie-index has 550 nodes (566 at peak, 650 added, 100 deleted).
% 0.22/0.54 ; Retrieved 110 generalization terms in 240 calls.
% 0.22/0.54 ; Retrieved 126 instance terms in 33 calls.
% 0.22/0.54 ; Retrieved 347 unifiable terms in 73 calls.
% 0.22/0.54 ;
% 0.22/0.54 ; The agenda of rows to process has 7 entries:
% 0.22/0.54 ; 1 with value 17 1 with value 21 1 with value 30
% 0.22/0.54 ; 2 with value 19 2 with value 22
% 0.22/0.54 ; The agenda of rows to give has 19 entries:
% 0.22/0.54 ; 2 with value (4 17) 1 with value (4 22) 1 with value (4 29)
% 0.22/0.54 ; 2 with value (4 18) 1 with value (4 23) 2 with value (4 32)
% 0.22/0.54 ; 1 with value (4 20) 1 with value (4 24) 3 with value (4 35)
% 0.22/0.54 ; 2 with value (4 21) 1 with value (4 26) 2 with value (4 43)
% 0.22/0.54 Evaluation took:
% 0.22/0.54 0.039 seconds of real time
% 0.22/0.54 0.027931 seconds of user run time
% 0.22/0.54 0.01094 seconds of system run time
% 0.22/0.54 0 calls to %EVAL
% 0.22/0.54 0 page faults and
% 0.22/0.54 2,677,496 bytes consed.
% 0.22/0.54 :PROOF-FOUND
% 0.22/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T00:34:20
% 0.22/0.54 :PROOF-FOUND
% 0.22/0.54 *
%------------------------------------------------------------------------------