TSTP Solution File: CAT014-3 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT014-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 00:07:10 EDT 2022
% Result : Unsatisfiable 0.37s 0.53s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 15 ( 7 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 7 ( 0 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(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(compose_domain,axiom,
compose(X,domain(X)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_domain) ).
cnf(compose_codomain,axiom,
compose(codomain(X),X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_codomain) ).
cnf(assume_codomain_exists,hypothesis,
there_exists(codomain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_codomain_exists) ).
cnf(prove_codomain_is_idempotent,negated_conjecture,
codomain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).
cnf(19,plain,
there_exists(a),
inference('HYPERRESOLVE',[status(thm)],[codomain_has_elements,assume_codomain_exists]) ).
cnf(30,plain,
( ~ there_exists(X)
| domain(codomain(X)) = codomain(X) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,compose_codomain,theory(equality)]) ).
cnf(31,plain,
( ~ there_exists(X)
| domain(X) = codomain(domain(X)) ),
inference('PARAMODULATE',[status(thm)],[domain_codomain_composition1,compose_domain,theory(equality)]) ).
cnf(138,plain,
domain(codomain(a)) = codomain(a),
inference('HYPERRESOLVE',[status(thm)],[30,19]) ).
cnf(152,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[31,assume_codomain_exists]),prove_codomain_is_idempotent,138,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CAT014-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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 21:01:42 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 2022-05-29T21:01:42
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-05-29T21:01:42
% 0.19/0.47
% 0.37/0.53 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.37/0.53
% 0.37/0.53 #||
% 0.37/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.53 % SZS output start Refutation
% See solution above
% 0.37/0.53 ||#
% 0.37/0.53
% 0.37/0.53 ; Summary of computation:
% 0.37/0.53 ; 432 formulas have been input or derived (from 43 formulas).
% 0.37/0.53 ; 152 (35%) were retained. Of these,
% 0.37/0.53 ; 51 (34%) were simplified or subsumed later,
% 0.37/0.53 ; 101 (66%) are still being kept.
% 0.37/0.53 ;
% 0.37/0.53 ; Run time in seconds excluding printing time:
% 0.37/0.53 ; 0.004 6% Read assertion file (1 call)
% 0.37/0.53 ; 0.000 0% Assert (19 calls)
% 0.37/0.53 ; 0.013 18% Process new row (366 calls)
% 0.37/0.53 ; 0.008 11% Resolution (84 calls)
% 0.37/0.53 ; 0.004 6% Paramodulation (42 calls)
% 0.37/0.53 ; 0.000 0% Factoring (2 calls)
% 0.37/0.53 ; 0.001 1% Condensing (82 calls)
% 0.37/0.53 ; 0.004 6% Forward subsumption (82 calls)
% 0.37/0.53 ; 0.001 1% Backward subsumption (66 calls)
% 0.37/0.53 ; 0.001 1% Clause clause subsumption (178 calls)
% 0.37/0.53 ; 0.007 10% Forward simplification (358 calls)
% 0.37/0.53 ; 0.005 7% Backward simplification (152 calls)
% 0.37/0.53 ; 0.000 0% Ordering (323 calls)
% 0.37/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.53 ; 0.000 0% Purity testing (1 call)
% 0.37/0.53 ; 0.024 33% Other
% 0.37/0.53 ; 0.072 Total
% 0.37/0.53 ; 0.074 Real time
% 0.37/0.53 ;
% 0.37/0.53 ; Term-hash-array has 304 terms in all.
% 0.37/0.53 ; Feature-vector-row-index has 54 entries (64 at peak, 66 added, 12 deleted).
% 0.37/0.53 ; Feature-vector-row-index has 161 nodes (186 at peak, 204 added, 43 deleted).
% 0.37/0.53 ; Retrieved 195 possibly forward subsuming rows in 82 calls.
% 0.37/0.53 ; Retrieved 25 possibly backward subsumed rows in 66 calls.
% 0.37/0.53 ; Path-index has 202 entries (289 at peak, 305 added, 103 deleted).
% 0.37/0.53 ; Path-index has 648 nodes (708 at peak, 757 added, 109 deleted).
% 0.37/0.53 ; Trie-index has 202 entries (289 at peak, 305 added, 103 deleted).
% 0.37/0.53 ; Trie-index has 684 nodes (892 at peak, 974 added, 290 deleted).
% 0.37/0.53 ; Retrieved 325 generalization terms in 725 calls.
% 0.37/0.53 ; Retrieved 98 instance terms in 97 calls.
% 0.37/0.53 ; Retrieved 2,487 unifiable terms in 430 calls.
% 0.37/0.53 ;
% 0.37/0.53 ; The agenda of rows to process has 12 entries:
% 0.37/0.53 ; 1 with value 15 4 with value 19 1 with value 22
% 0.37/0.53 ; 1 with value 18 1 with value 20 4 with value 24
% 0.37/0.53 ; The agenda of rows to give has 64 entries:
% 0.37/0.53 ; 1 with value (4 11) 4 with value (4 18) 2 with value (4 28)
% 0.37/0.53 ; 1 with value (4 12) 4 with value (4 19) 2 with value (4 29)
% 0.37/0.53 ; 1 with value (4 13) 10 with value (4 20) 2 with value (4 34)
% 0.37/0.53 ; 8 with value (4 14) 1 with value (4 22) 2 with value (4 35)
% 0.37/0.53 ; 10 with value (4 15) 2 with value (4 24) 2 with value (4 43)
% 0.37/0.53 ; 2 with value (4 16) 2 with value (4 26) 4 with value (4 49)
% 0.37/0.53 ; 4 with value (4 17)
% 0.37/0.53 Evaluation took:
% 0.37/0.53 0.075 seconds of real time
% 0.37/0.53 0.064192 seconds of user run time
% 0.37/0.53 0.010914 seconds of system run time
% 0.37/0.53 0 calls to %EVAL
% 0.37/0.53 0 page faults and
% 0.37/0.53 3,930,568 bytes consed.
% 0.37/0.53 :PROOF-FOUND
% 0.37/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T21:01:42
% 0.37/0.53 :PROOF-FOUND
% 0.37/0.53 *
%------------------------------------------------------------------------------