TSTP Solution File: CAT001-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT001-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 0.11s 0.39s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 7 equ; 3 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 : 7 ( 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(monomorphism,hypothesis,
( compose(compose(a,b),X) != Y
| compose(compose(a,b),Z) != Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monomorphism) ).
cnf(bh_equals_bg,hypothesis,
compose(b,h) = compose(b,g),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bh_equals_bg) ).
cnf(prove_h_equals_g,negated_conjecture,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g) ).
cnf(48,plain,
compose(X,compose(b,g)) = compose(compose(X,b),h),
inference('PARAMODULATE',[status(thm)],[associativity_of_compose,bh_equals_bg,theory(equality)]) ).
cnf(72,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[monomorphism,associativity_of_compose,prove_h_equals_g]),48,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : CAT001-3 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.08 % Command : run-snark %s %d
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Sun May 29 15:56:11 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.35 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 *
% 0.11/0.35 *
% 0.11/0.36 #<PACKAGE "SNARK-USER">
% 0.11/0.36 *
% 0.11/0.36 SNARK-TPTP-OPTIONS
% 0.11/0.36 *
% 0.11/0.36 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.36 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.36 (USE-FACTORING :POS)
% 0.11/0.36 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.36 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.36 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.36 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.36 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.36 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.36 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.36 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.36 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.36 (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.36 *
% 0.11/0.36 "."
% 0.11/0.36 *
% 0.11/0.36 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T15:56:11
% 0.11/0.36 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-05-29T15:56:11
% 0.11/0.37
% 0.11/0.39 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.11/0.39
% 0.11/0.39 #||
% 0.11/0.39 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 % SZS output start Refutation
% See solution above
% 0.11/0.39 ||#
% 0.11/0.39
% 0.11/0.39 ; Summary of computation:
% 0.11/0.39 ; 156 formulas have been input or derived (from 22 formulas).
% 0.11/0.39 ; 72 (46%) were retained. Of these,
% 0.11/0.39 ; 3 ( 4%) were simplified or subsumed later,
% 0.11/0.39 ; 69 (96%) are still being kept.
% 0.11/0.39 ;
% 0.11/0.39 ; Run time in seconds excluding printing time:
% 0.11/0.39 ; 0.003 11% Read assertion file (1 call)
% 0.11/0.39 ; 0.000 0% Assert (22 calls)
% 0.11/0.39 ; 0.002 7% Process new row (120 calls)
% 0.11/0.39 ; 0.003 11% Resolution (42 calls)
% 0.11/0.39 ; 0.000 0% Paramodulation (21 calls)
% 0.11/0.39 ; 0.000 0% Factoring (2 calls)
% 0.11/0.39 ; 0.001 4% Condensing (41 calls)
% 0.11/0.39 ; 0.000 0% Forward subsumption (41 calls)
% 0.11/0.39 ; 0.000 0% Backward subsumption (37 calls)
% 0.11/0.39 ; 0.000 0% Clause clause subsumption (60 calls)
% 0.11/0.39 ; 0.001 4% Forward simplification (120 calls)
% 0.11/0.39 ; 0.003 11% Backward simplification (72 calls)
% 0.11/0.39 ; 0.001 4% Ordering (247 calls)
% 0.11/0.39 ; 0.000 0% Sortal reasoning (32 calls)
% 0.11/0.39 ; 0.001 4% Purity testing (1 call)
% 0.11/0.39 ; 0.012 44% Other
% 0.11/0.39 ; 0.027 Total
% 0.11/0.39 ; 0.029 Real time
% 0.11/0.39 ;
% 0.11/0.39 ; Term-hash-array has 139 terms in all.
% 0.11/0.39 ; Feature-vector-row-index has 37 entries (37 at peak, 37 added, 0 deleted).
% 0.11/0.39 ; Feature-vector-row-index has 108 nodes (108 at peak, 108 added, 0 deleted).
% 0.11/0.39 ; Retrieved 51 possibly forward subsuming rows in 41 calls.
% 0.11/0.39 ; Retrieved 9 possibly backward subsumed rows in 37 calls.
% 0.11/0.39 ; Path-index has 140 entries (140 at peak, 143 added, 3 deleted).
% 0.11/0.39 ; Path-index has 343 nodes (343 at peak, 347 added, 4 deleted).
% 0.11/0.39 ; Trie-index has 140 entries (140 at peak, 143 added, 3 deleted).
% 0.11/0.39 ; Trie-index has 393 nodes (393 at peak, 397 added, 4 deleted).
% 0.11/0.39 ; Retrieved 109 generalization terms in 298 calls.
% 0.11/0.39 ; Retrieved 49 instance terms in 48 calls.
% 0.11/0.39 ; Retrieved 1,180 unifiable terms in 178 calls.
% 0.11/0.39 ;
% 0.11/0.39 ; The agenda of rows to process has 26 entries:
% 0.11/0.39 ; 4 with value 15 2 with value 25 2 with value 31
% 0.11/0.39 ; 4 with value 16 2 with value 27 2 with value 61
% 0.11/0.39 ; 8 with value 24 2 with value 28
% 0.11/0.39 ; The agenda of rows to give has 47 entries:
% 0.11/0.39 ; 2 with value (4 5) 2 with value (4 10) 2 with value (4 18)
% 0.11/0.39 ; 3 with value (4 6) 2 with value (4 11) 2 with value (4 19)
% 0.11/0.39 ; 2 with value (4 7) 2 with value (4 13) 7 with value (4 20)
% 0.11/0.39 ; 3 with value (4 8) 3 with value (4 14) 4 with value (4 30)
% 0.11/0.39 ; 2 with value (4 9) 9 with value (4 15) 2 with value (4 34)
% 0.11/0.39 Evaluation took:
% 0.11/0.39 0.029 seconds of real time
% 0.11/0.39 0.020044 seconds of user run time
% 0.11/0.39 0.008851 seconds of system run time
% 0.11/0.39 0 calls to %EVAL
% 0.11/0.39 0 page faults and
% 0.11/0.39 2,456,208 bytes consed.
% 0.11/0.39 :PROOF-FOUND
% 0.11/0.39 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T15:56:11
% 0.11/0.39 :PROOF-FOUND
% 0.11/0.39 *
%------------------------------------------------------------------------------