TSTP Solution File: CAT018-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT018-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 23 ( 17 unt; 0 nHn; 20 RR)
% Number of literals : 30 ( 11 equ; 10 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 : 16 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(codomain_has_elements,axiom,
( ~ there_exists(codomain(X))
| there_exists(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',codomain_has_elements) ).
cnf(composition_implies_domain,axiom,
( ~ there_exists(compose(X,Y))
| there_exists(domain(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',composition_implies_domain) ).
cnf(domain_codomain_composition1,axiom,
( ~ there_exists(compose(X,Y))
| domain(X) = codomain(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.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/sandbox/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition2) ).
cnf(associativity_of_compose,axiom,
compose(X,compose(Y,Z)) = compose(compose(X,Y),Z),
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
cnf(compose_domain,axiom,
compose(X,domain(X)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/CAT004-0.ax',compose_domain) ).
cnf(assume_ab_exists,hypothesis,
there_exists(compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_ab_exists) ).
cnf(assume_bc_exists,hypothesis,
there_exists(compose(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_bc_exists) ).
cnf(prove_a_bc_exists,negated_conjecture,
~ there_exists(compose(a,compose(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_bc_exists) ).
cnf(15,plain,
~ there_exists(compose(compose(a,b),c)),
inference('REWRITE',[status(thm)],[prove_a_bc_exists,associativity_of_compose,theory(equality)]) ).
cnf(22,plain,
there_exists(domain(a)),
inference('HYPERRESOLVE',[status(thm)],[composition_implies_domain,assume_ab_exists]) ).
cnf(23,plain,
( ~ there_exists(X)
| there_exists(domain(X)) ),
inference('PARAMODULATE',[status(thm)],[composition_implies_domain,compose_domain,theory(equality)]) ).
cnf(25,plain,
domain(b) = codomain(c),
inference('HYPERRESOLVE',[status(thm)],[domain_codomain_composition1,assume_bc_exists]) ).
cnf(27,plain,
domain(a) = codomain(b),
inference('HYPERRESOLVE',[status(thm)],[domain_codomain_composition1,assume_ab_exists]) ).
cnf(28,plain,
there_exists(codomain(b)),
inference('REWRITE',[status(thm)],[22,27,theory(equality)]) ).
cnf(31,plain,
compose(X,Y) = compose(compose(X,Y),domain(Y)),
inference('PARAMODULATE',[status(thm)],[associativity_of_compose,compose_domain,theory(equality)]) ).
cnf(47,plain,
there_exists(b),
inference('HYPERRESOLVE',[status(thm)],[codomain_has_elements,28]) ).
cnf(51,plain,
compose(b,codomain(c)) = b,
inference('PARAMODULATE',[status(thm)],[compose_domain,25,theory(equality)]) ).
cnf(61,plain,
there_exists(domain(compose(a,b))),
inference('HYPERRESOLVE',[status(thm)],[23,assume_ab_exists]) ).
cnf(71,plain,
domain(compose(a,b)) != codomain(c),
inference('UR-RESOLVE',[status(thm)],[domain_codomain_composition2,61,15]) ).
cnf(89,plain,
codomain(c) = codomain(codomain(c)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,51,theory(equality)]),25,47,theory(equality)]) ).
cnf(177,plain,
( ~ there_exists(compose(X,Y))
| domain(compose(X,Y)) = codomain(domain(Y)) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,31,theory(equality)]) ).
cnf(426,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[177,assume_ab_exists]),71,89,25,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT018-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 16:53:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:53:06
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-29T16:53:06
% 0.19/0.49
% 0.46/0.64 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.46/0.64
% 0.46/0.64 #||
% 0.46/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.64 % SZS output start Refutation
% See solution above
% 0.46/0.64 ||#
% 0.46/0.64
% 0.46/0.64 ; Summary of computation:
% 0.46/0.64 ; 1947 formulas have been input or derived (from 147 formulas).
% 0.46/0.64 ; 426 (22%) were retained. Of these,
% 0.46/0.64 ; 87 (20%) were simplified or subsumed later,
% 0.46/0.64 ; 339 (80%) are still being kept.
% 0.46/0.64 ;
% 0.46/0.64 ; Run time in seconds excluding printing time:
% 0.46/0.64 ; 0.002 1% Read assertion file (1 call)
% 0.46/0.64 ; 0.000 0% Assert (14 calls)
% 0.46/0.64 ; 0.039 24% Process new row (1,679 calls)
% 0.46/0.64 ; 0.012 7% Resolution (292 calls)
% 0.46/0.64 ; 0.011 7% Paramodulation (146 calls)
% 0.46/0.64 ; 0.000 0% Condensing (228 calls)
% 0.46/0.64 ; 0.009 5% Forward subsumption (228 calls)
% 0.46/0.64 ; 0.001 1% Backward subsumption (129 calls)
% 0.46/0.64 ; 0.002 1% Clause clause subsumption (559 calls)
% 0.46/0.64 ; 0.032 20% Forward simplification (1,660 calls)
% 0.46/0.64 ; 0.009 5% Backward simplification (425 calls)
% 0.46/0.64 ; 0.010 6% Ordering (2,220 calls)
% 0.46/0.64 ; 0.001 1% Sortal reasoning (32 calls)
% 0.46/0.64 ; 0.000 0% Purity testing (1 call)
% 0.46/0.64 ; 0.036 22% Other
% 0.46/0.64 ; 0.164 Total
% 0.46/0.64 ; 0.167 Real time
% 0.46/0.64 ;
% 0.46/0.64 ; Term-hash-array has 828 terms in all.
% 0.46/0.64 ; Feature-vector-row-index has 122 entries (129 at peak, 129 added, 7 deleted).
% 0.46/0.64 ; Feature-vector-row-index has 846 nodes (915 at peak, 915 added, 69 deleted).
% 0.46/0.64 ; Retrieved 754 possibly forward subsuming rows in 228 calls.
% 0.46/0.64 ; Retrieved 21 possibly backward subsumed rows in 129 calls.
% 0.46/0.64 ; Path-index has 690 entries (721 at peak, 831 added, 141 deleted).
% 0.46/0.64 ; Path-index has 2,188 nodes (2,215 at peak, 2,385 added, 197 deleted).
% 0.46/0.64 ; Trie-index has 690 entries (721 at peak, 831 added, 141 deleted).
% 0.46/0.64 ; Trie-index has 2,586 nodes (2,703 at peak, 3,030 added, 444 deleted).
% 0.46/0.64 ; Retrieved 3,806 generalization terms in 8,384 calls.
% 0.46/0.64 ; Retrieved 308 instance terms in 307 calls.
% 0.46/0.64 ; Retrieved 6,709 unifiable terms in 1,903 calls.
% 0.46/0.64 ;
% 0.46/0.64 ; The agenda of rows to process has 24 entries:
% 0.46/0.64 ; 2 with value 14 1 with value 19 1 with value 24
% 0.46/0.64 ; 1 with value 15 1 with value 20 1 with value 25
% 0.46/0.64 ; 1 with value 16 6 with value 22 3 with value 26
% 0.46/0.64 ; 3 with value 17 3 with value 23 1 with value 28
% 0.46/0.64 ; The agenda of rows to give has 206 entries:
% 0.46/0.64 ; 1 with value (4 13) 24 with value (4 22) 11 with value (4 26)
% 0.46/0.64 ; 17 with value (4 19) 14 with value (4 23) 10 with value (4 27)
% 0.46/0.64 ; 54 with value (4 20) 17 with value (4 24) 1 with value (4 29)
% 0.46/0.64 ; 44 with value (4 21) 11 with value (4 25) 2 with value (4 31)
% 0.46/0.64 Evaluation took:
% 0.46/0.64 0.168 seconds of real time
% 0.46/0.64 0.146297 seconds of user run time
% 0.46/0.64 0.020818 seconds of system run time
% 0.46/0.64 0 calls to %EVAL
% 0.46/0.64 0 page faults and
% 0.46/0.64 10,704,376 bytes consed.
% 0.46/0.64 :PROOF-FOUND
% 0.46/0.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:53:07
% 0.46/0.64 :PROOF-FOUND
% 0.46/0.64 *
%------------------------------------------------------------------------------