TSTP Solution File: CAT018-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT018-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 00:07:11 EDT 2022
% Result : Unsatisfiable 0.88s 1.06s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 15 unt; 0 nHn; 19 RR)
% Number of literals : 30 ( 10 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(codomain_has_elements,axiom,
( ~ there_exists(codomain(X))
| there_exists(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',codomain_has_elements) ).
cnf(composition_implies_domain,axiom,
( ~ there_exists(compose(X,Y))
| there_exists(domain(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',composition_implies_domain) ).
cnf(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X,Y))
| domain(X) = codomain(Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).
cnf(domain_codomain_composition2,axiom,
( ~ there_exists(domain(X))
| domain(X) != codomain(Y)
| there_exists(compose(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition2) ).
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(compose_domain,axiom,
compose(X,domain(X)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_domain) ).
cnf(composition_implies_codomain,axiom,
( ~ there_exists(compose(X,Y))
| there_exists(codomain(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',composition_implies_codomain) ).
cnf(assume_ab_exists,hypothesis,
there_exists(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_ab_exists) ).
cnf(assume_bc_exists,hypothesis,
there_exists(compose(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_bc_exists) ).
cnf(prove_a_bc_exists,negated_conjecture,
~ there_exists(compose(a,compose(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_bc_exists) ).
cnf(20,plain,
~ there_exists(compose(compose(a,b),c)),
inference('REWRITE',[status(thm)],[prove_a_bc_exists,associativity_of_compose,theory(equality)]) ).
cnf(30,plain,
( ~ there_exists(X)
| there_exists(domain(X)) ),
inference('PARAMODULATE',[status(thm)],[composition_implies_domain,compose_domain,theory(equality)]) ).
cnf(32,plain,
there_exists(codomain(b)),
inference('HYPERRESOLVE',[status(thm)],[composition_implies_codomain,assume_bc_exists]) ).
cnf(36,plain,
domain(b) = codomain(c),
inference('HYPERRESOLVE',[status(thm)],[domain_codomain_composition1,assume_bc_exists]) ).
cnf(41,plain,
compose(X,Y) = compose(compose(X,Y),domain(Y)),
inference('PARAMODULATE',[status(thm)],[associativity_of_compose,compose_domain,theory(equality)]) ).
cnf(66,plain,
there_exists(b),
inference('HYPERRESOLVE',[status(thm)],[codomain_has_elements,32]) ).
cnf(89,plain,
compose(b,codomain(c)) = b,
inference('PARAMODULATE',[status(thm)],[compose_domain,36,theory(equality)]) ).
cnf(98,plain,
there_exists(domain(compose(a,b))),
inference('HYPERRESOLVE',[status(thm)],[30,assume_ab_exists]) ).
cnf(148,plain,
domain(compose(a,b)) != codomain(c),
inference('UR-RESOLVE',[status(thm)],[domain_codomain_composition2,98,20]) ).
cnf(205,plain,
codomain(c) = codomain(codomain(c)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,89,theory(equality)]),36,66,theory(equality)]) ).
cnf(362,plain,
( ~ there_exists(compose(X,Y))
| domain(compose(X,Y)) = codomain(domain(Y)) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,41,theory(equality)]) ).
cnf(1584,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[362,assume_ab_exists]),148,205,36,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : CAT018-3 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n018.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 : Sun May 29 21:16:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T21:16:41
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-29T21:16:41
% 0.20/0.51
% 0.88/1.06 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.88/1.06
% 0.88/1.06 #||
% 0.88/1.06 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.88/1.06 % SZS output start Refutation
% See solution above
% 0.88/1.06 ||#
% 0.88/1.06
% 0.88/1.06 ; Summary of computation:
% 0.88/1.06 ; 6515 formulas have been input or derived (from 282 formulas).
% 0.88/1.06 ; 1584 (24%) were retained. Of these,
% 0.88/1.06 ; 550 (35%) were simplified or subsumed later,
% 0.88/1.06 ; 1034 (65%) are still being kept.
% 0.88/1.06 ;
% 0.88/1.06 ; Run time in seconds excluding printing time:
% 0.88/1.06 ; 0.004 1% Read assertion file (1 call)
% 0.88/1.06 ; 0.001 0% Assert (20 calls)
% 0.88/1.06 ; 0.134 24% Process new row (6,024 calls)
% 0.88/1.06 ; 0.103 18% Resolution (562 calls)
% 0.88/1.06 ; 0.016 3% Paramodulation (281 calls)
% 0.88/1.06 ; 0.000 0% Factoring (15 calls)
% 0.88/1.06 ; 0.010 2% Condensing (949 calls)
% 0.88/1.06 ; 0.033 6% Forward subsumption (949 calls)
% 0.88/1.06 ; 0.009 2% Backward subsumption (490 calls)
% 0.88/1.06 ; 0.006 1% Clause clause subsumption (2,670 calls)
% 0.88/1.06 ; 0.128 23% Forward simplification (5,998 calls)
% 0.88/1.06 ; 0.033 6% Backward simplification (1,583 calls)
% 0.88/1.06 ; 0.036 6% Ordering (9,390 calls)
% 0.88/1.06 ; 0.000 0% Sortal reasoning (32 calls)
% 0.88/1.06 ; 0.000 0% Purity testing (1 call)
% 0.88/1.06 ; 0.054 10% Other
% 0.88/1.06 ; 0.567 Total
% 0.88/1.06 ; 0.568 Real time
% 0.88/1.06 ;
% 0.88/1.06 ; Term-hash-array has 2,709 terms in all.
% 0.88/1.06 ; Feature-vector-row-index has 418 entries (425 at peak, 490 added, 72 deleted).
% 0.88/1.06 ; Feature-vector-row-index has 2,103 nodes (2,172 at peak, 2,409 added, 306 deleted).
% 0.88/1.06 ; Retrieved 3,223 possibly forward subsuming rows in 949 calls.
% 0.88/1.06 ; Retrieved 281 possibly backward subsumed rows in 490 calls.
% 0.88/1.06 ; Path-index has 1,742 entries (1,795 at peak, 2,712 added, 970 deleted).
% 0.88/1.06 ; Path-index has 6,440 nodes (6,467 at peak, 8,688 added, 2,248 deleted).
% 0.88/1.06 ; Trie-index has 1,742 entries (1,795 at peak, 2,712 added, 970 deleted).
% 0.88/1.06 ; Trie-index has 8,171 nodes (8,411 at peak, 12,967 added, 4,796 deleted).
% 0.88/1.06 ; Retrieved 14,805 generalization terms in 35,077 calls.
% 0.88/1.06 ; Retrieved 1,105 instance terms in 1,104 calls.
% 0.88/1.06 ; Retrieved 81,974 unifiable terms in 6,837 calls.
% 0.88/1.06 ;
% 0.88/1.06 ; The agenda of rows to process has 26 entries:
% 0.88/1.06 ; 2 with value 14 1 with value 20 1 with value 25
% 0.88/1.06 ; 1 with value 15 6 with value 22 3 with value 26
% 0.88/1.06 ; 1 with value 16 3 with value 23 1 with value 28
% 0.88/1.06 ; 3 with value 17 1 with value 24 2 with value 31
% 0.88/1.06 ; 1 with value 19
% 0.88/1.06 ; The agenda of rows to give has 775 entries:
% 0.88/1.06 ; 1 with value (4 13) 54 with value (4 26) 10 with value (4 33)
% 0.88/1.06 ; 77 with value (4 19) 36 with value (4 27) 8 with value (4 34)
% 0.88/1.06 ; 107 with value (4 20) 14 with value (4 28) 2 with value (4 35)
% 0.88/1.06 ; 102 with value (4 21) 13 with value (4 29) 4 with value (4 36)
% 0.88/1.06 ; 79 with value (4 22) 30 with value (4 30) 12 with value (4 37)
% 0.88/1.06 ; 67 with value (4 23) 18 with value (4 31) 4 with value (4 38)
% 0.88/1.06 ; 58 with value (4 24) 2 with value (4 32) 22 with value (4 39)
% 0.88/1.06 ; 55 with value (4 25)
% 0.88/1.06 Evaluation took:
% 0.88/1.06 0.569 seconds of real time
% 0.88/1.06 0.519043 seconds of user run time
% 0.88/1.06 0.050078 seconds of system run time
% 0.88/1.06 [Run times include 0.026 seconds GC run time.]
% 0.88/1.06 0 calls to %EVAL
% 0.88/1.06 0 page faults and
% 0.88/1.06 39,575,416 bytes consed.
% 0.88/1.06 :PROOF-FOUND
% 0.88/1.06 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T21:16:42
% 0.88/1.06 :PROOF-FOUND
% 0.88/1.06 *
%------------------------------------------------------------------------------