TSTP Solution File: CAT002-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT002-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 : Fri Jul 15 00:07:05 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 11 ( 10 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_of_compose,axiom,
compose(X,compose(Y,Z)) = compose(compose(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
cnf(cancellation_for_compose1,hypothesis,
( compose(a,X) != Y
| compose(a,Z) != Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_compose1) ).
cnf(cancellation_for_compose2,hypothesis,
( compose(b,X) != Y
| compose(b,Z) != Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_compose2) ).
cnf(ab_h_equals_ab_g,hypothesis,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
cnf(prove_g_equals_h,negated_conjecture,
g != h,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_g_equals_h) ).
cnf(49,plain,
compose(b,g) != compose(b,h),
inference('UR-RESOLVE',[status(thm)],[cancellation_for_compose2,prove_g_equals_h,theory(equality)]) ).
cnf(77,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cancellation_for_compose1,49,theory(equality)]),ab_h_equals_ab_g,associativity_of_compose,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CAT002-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 17:28:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-05-29T17:28:04
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-05-29T17:28:04
% 0.19/0.47
% 0.19/0.51 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 281 formulas have been input or derived (from 35 formulas).
% 0.19/0.51 ; 77 (27%) were retained. Of these,
% 0.19/0.51 ; 1 ( 1%) were simplified or subsumed later,
% 0.19/0.51 ; 76 (99%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds:
% 0.19/0.51 ; 0.003 5% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 2% Assert (17 calls)
% 0.19/0.51 ; 0.010 18% Process new row (220 calls)
% 0.19/0.51 ; 0.008 14% Resolution (68 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (34 calls)
% 0.19/0.51 ; 0.000 0% Condensing (29 calls)
% 0.19/0.51 ; 0.002 4% Forward subsumption (29 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (24 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (25 calls)
% 0.19/0.51 ; 0.006 11% Forward simplification (220 calls)
% 0.19/0.51 ; 0.002 4% Backward simplification (77 calls)
% 0.19/0.51 ; 0.001 2% Ordering (385 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.023 41% Other
% 0.19/0.51 ; 0.056 Total
% 0.19/0.51 ; 0.055 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 163 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 109 nodes (109 at peak, 109 added, 0 deleted).
% 0.19/0.51 ; Retrieved 26 possibly forward subsuming rows in 29 calls.
% 0.19/0.51 ; Retrieved 2 possibly backward subsumed rows in 24 calls.
% 0.19/0.51 ; Path-index has 166 entries (166 at peak, 167 added, 1 deleted).
% 0.19/0.51 ; Path-index has 299 nodes (299 at peak, 300 added, 1 deleted).
% 0.19/0.51 ; Trie-index has 166 entries (166 at peak, 167 added, 1 deleted).
% 0.19/0.51 ; Trie-index has 436 nodes (436 at peak, 437 added, 1 deleted).
% 0.19/0.51 ; Retrieved 517 generalization terms in 951 calls.
% 0.19/0.51 ; Retrieved 69 instance terms in 68 calls.
% 0.19/0.51 ; Retrieved 2,448 unifiable terms in 389 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 23 entries:
% 0.19/0.51 ; 7 with value 16 16 with value 25
% 0.19/0.51 ; The agenda of rows to give has 41 entries:
% 0.19/0.51 ; 3 with value (4 10) 2 with value (4 14) 3 with value (4 18)
% 0.19/0.51 ; 8 with value (4 11) 4 with value (4 15) 10 with value (4 20)
% 0.19/0.51 ; 1 with value (4 12) 3 with value (4 16) 2 with value (4 25)
% 0.19/0.51 ; 5 with value (4 13)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.056 seconds of real time
% 0.19/0.51 0.050917 seconds of user run time
% 0.19/0.51 0.005312 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 2,804,160 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T17:28:04
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------