TSTP Solution File: GRP589-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP589-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 11:39:33 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% 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 : 10 ( 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,
double_divide(inverse(double_divide(double_divide(X,Y),inverse(double_divide(X,inverse(Z))))),Y) = 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(double_divide(double_divide(inverse(double_divide(double_divide(X,inverse(Y)),inverse(double_divide(X,inverse(Z))))),U),inverse(Z))),U) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
double_divide(inverse(double_divide(X,inverse(X))),inverse(Y)) = Y,
inference('PARAMODULATE',[status(thm)],[5,single_axiom,theory(equality)]) ).
cnf(13,plain,
double_divide(inverse(double_divide(X,inverse(Y))),inverse(X)) = Y,
inference('PARAMODULATE',[status(thm)],[5,7,theory(equality)]) ).
cnf(17,plain,
double_divide(inverse(X),inverse(inverse(double_divide(Y,inverse(X))))) = Y,
inference('PARAMODULATE',[status(thm)],[13,13,theory(equality)]) ).
cnf(30,plain,
double_divide(inverse(X),inverse(inverse(Y))) = inverse(double_divide(X,inverse(Y))),
inference('PARAMODULATE',[status(thm)],[13,17,theory(equality)]) ).
cnf(33,plain,
inverse(double_divide(X,inverse(double_divide(Y,inverse(X))))) = Y,
inference('REWRITE',[status(thm)],[17,30,theory(equality)]) ).
cnf(36,plain,
inverse(double_divide(X,inverse(X))) = inverse(double_divide(Y,inverse(Y))),
inference('PARAMODULATE',[status(thm)],[33,7,theory(equality)]) ).
cnf(37,plain,
$false,
inference('REWRITE',[status(thm)],[4,36,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP589-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n010.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 13:30:54 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T13:30:55
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-13T13:30:55
% 0.21/0.52
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.21/0.52 ||#
% 0.21/0.52
% 0.21/0.52 ; Summary of computation:
% 0.21/0.52 ; 89 formulas have been input or derived (from 10 formulas).
% 0.21/0.52 ; 37 (42%) were retained. Of these,
% 0.21/0.52 ; 7 (19%) were simplified or subsumed later,
% 0.21/0.52 ; 30 (81%) are still being kept.
% 0.21/0.52 ;
% 0.21/0.52 ; Run time in seconds excluding printing time:
% 0.21/0.52 ; 0.001 3% Read assertion file (1 call)
% 0.21/0.52 ; 0.000 0% Assert (3 calls)
% 0.21/0.52 ; 0.005 14% Process new row (68 calls)
% 0.21/0.52 ; 0.000 0% Resolution (18 calls)
% 0.21/0.52 ; 0.002 5% Paramodulation (9 calls)
% 0.21/0.52 ; 0.004 11% Forward simplification (56 calls)
% 0.21/0.52 ; 0.001 3% Backward simplification (36 calls)
% 0.21/0.52 ; 0.000 0% Ordering (178 calls)
% 0.21/0.52 ; 0.001 3% Sortal reasoning (32 calls)
% 0.21/0.52 ; 0.000 0% Purity testing (1 call)
% 0.21/0.52 ; 0.023 62% Other
% 0.21/0.52 ; 0.037 Total
% 0.21/0.52 ; 0.039 Real time
% 0.21/0.52 ;
% 0.21/0.52 ; Term-hash-array has 187 terms in all.
% 0.21/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.21/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.21/0.52 ; Path-index has 166 entries (175 at peak, 190 added, 24 deleted).
% 0.21/0.52 ; Path-index has 956 nodes (972 at peak, 1,004 added, 48 deleted).
% 0.21/0.52 ; Trie-index has 166 entries (175 at peak, 190 added, 24 deleted).
% 0.21/0.52 ; Trie-index has 1,128 nodes (1,152 at peak, 1,246 added, 118 deleted).
% 0.21/0.52 ; Retrieved 77 generalization terms in 258 calls.
% 0.21/0.52 ; Retrieved 114 instance terms in 35 calls.
% 0.21/0.52 ; Retrieved 252 unifiable terms in 80 calls.
% 0.21/0.52 ;
% 0.21/0.52 ; The agenda of rows to process has 19 entries:
% 0.21/0.52 ; 1 with value 20 1 with value 26 1 with value 33
% 0.21/0.52 ; 1 with value 22 2 with value 27 1 with value 34
% 0.21/0.52 ; 2 with value 23 3 with value 28 1 with value 38
% 0.21/0.52 ; 3 with value 25 2 with value 30 1 with value 41
% 0.21/0.52 ; The agenda of rows to give has 22 entries:
% 0.21/0.52 ; 1 with value (4 19) 3 with value (4 26) 2 with value (4 38)
% 0.21/0.52 ; 1 with value (4 20) 1 with value (4 28) 1 with value (4 43)
% 0.21/0.52 ; 2 with value (4 21) 1 with value (4 29) 2 with value (4 44)
% 0.21/0.52 ; 1 with value (4 22) 1 with value (4 30) 1 with value (4 53)
% 0.21/0.52 ; 1 with value (4 23) 1 with value (4 33) 1 with value (4 54)
% 0.21/0.52 ; 1 with value (4 25) 1 with value (4 37)
% 0.21/0.52 Evaluation took:
% 0.21/0.52 0.039 seconds of real time
% 0.21/0.52 0.030067 seconds of user run time
% 0.21/0.52 0.009179 seconds of system run time
% 0.21/0.52 0 calls to %EVAL
% 0.21/0.52 0 page faults and
% 0.21/0.52 2,808,896 bytes consed.
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T13:30:55
% 0.21/0.52 :PROOF-FOUND
% 0.21/0.52 *
%------------------------------------------------------------------------------