TSTP Solution File: CAT002-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT002-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 0.56s
% 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/CAT003-0.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(72,plain,
compose(b,g) != compose(b,h),
inference('UR-RESOLVE',[status(thm)],[cancellation_for_compose2,prove_g_equals_h,theory(equality)]) ).
cnf(164,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cancellation_for_compose1,72,theory(equality)]),ab_h_equals_ab_g,associativity_of_compose,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT002-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 19:24:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T19:24:13
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-29T19:24:13
% 0.19/0.49
% 0.19/0.56 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.19/0.56
% 0.19/0.56 #||
% 0.19/0.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.56 % SZS output start Refutation
% See solution above
% 0.19/0.56 ||#
% 0.19/0.56
% 0.19/0.56 ; Summary of computation:
% 0.19/0.56 ; 479 formulas have been input or derived (from 49 formulas).
% 0.19/0.56 ; 164 (34%) were retained. Of these,
% 0.19/0.56 ; 2 ( 1%) were simplified or subsumed later,
% 0.19/0.56 ; 162 (99%) are still being kept.
% 0.19/0.56 ;
% 0.19/0.56 ; Run time in seconds:
% 0.19/0.56 ; 0.005 6% Read assertion file (1 call)
% 0.19/0.56 ; 0.001 1% Assert (23 calls)
% 0.19/0.56 ; 0.013 16% Process new row (390 calls)
% 0.19/0.56 ; 0.015 18% Resolution (96 calls)
% 0.19/0.56 ; 0.002 2% Paramodulation (48 calls)
% 0.19/0.56 ; 0.001 1% Factoring (2 calls)
% 0.19/0.56 ; 0.001 1% Condensing (90 calls)
% 0.19/0.56 ; 0.003 4% Forward subsumption (90 calls)
% 0.19/0.56 ; 0.000 0% Backward subsumption (76 calls)
% 0.19/0.56 ; 0.000 0% Clause clause subsumption (199 calls)
% 0.19/0.56 ; 0.010 12% Forward simplification (390 calls)
% 0.19/0.56 ; 0.004 5% Backward simplification (164 calls)
% 0.19/0.56 ; 0.003 4% Ordering (624 calls)
% 0.19/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.56 ; 0.000 0% Purity testing (1 call)
% 0.19/0.56 ; 0.024 29% Other
% 0.19/0.56 ; 0.082 Total
% 0.19/0.56 ; 0.083 Real time
% 0.19/0.56 ;
% 0.19/0.56 ; Term-hash-array has 361 terms in all.
% 0.19/0.56 ; Feature-vector-row-index has 76 entries (76 at peak, 76 added, 0 deleted).
% 0.19/0.56 ; Feature-vector-row-index has 257 nodes (257 at peak, 257 added, 0 deleted).
% 0.19/0.56 ; Retrieved 172 possibly forward subsuming rows in 90 calls.
% 0.19/0.56 ; Retrieved 31 possibly backward subsumed rows in 76 calls.
% 0.19/0.56 ; Path-index has 363 entries (363 at peak, 365 added, 2 deleted).
% 0.19/0.56 ; Path-index has 647 nodes (647 at peak, 649 added, 2 deleted).
% 0.19/0.56 ; Trie-index has 363 entries (363 at peak, 365 added, 2 deleted).
% 0.19/0.56 ; Trie-index has 897 nodes (897 at peak, 902 added, 5 deleted).
% 0.19/0.56 ; Retrieved 624 generalization terms in 1,367 calls.
% 0.19/0.56 ; Retrieved 104 instance terms in 103 calls.
% 0.19/0.56 ; Retrieved 8,288 unifiable terms in 574 calls.
% 0.19/0.56 ;
% 0.19/0.56 ; The agenda of rows to process has 23 entries:
% 0.19/0.56 ; 7 with value 16 16 with value 25
% 0.19/0.56 ; The agenda of rows to give has 113 entries:
% 0.19/0.56 ; 12 with value (4 10) 4 with value (4 18) 4 with value (4 28)
% 0.19/0.56 ; 12 with value (4 11) 4 with value (4 19) 2 with value (4 29)
% 0.19/0.56 ; 10 with value (4 12) 10 with value (4 20) 2 with value (4 30)
% 0.19/0.56 ; 12 with value (4 13) 4 with value (4 21) 4 with value (4 31)
% 0.19/0.56 ; 5 with value (4 14) 2 with value (4 25) 2 with value (4 34)
% 0.19/0.56 ; 7 with value (4 15) 4 with value (4 27) 8 with value (4 35)
% 0.19/0.56 ; 5 with value (4 16)
% 0.19/0.56 Evaluation took:
% 0.19/0.56 0.083 seconds of real time
% 0.19/0.56 0.076816 seconds of user run time
% 0.19/0.56 0.006113 seconds of system run time
% 0.19/0.56 0 calls to %EVAL
% 0.19/0.56 0 page faults and
% 0.19/0.56 4,069,760 bytes consed.
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T19:24:13
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 *
%------------------------------------------------------------------------------