TSTP Solution File: REL014+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : REL014+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 : Mon Jul 18 19:59:19 EDT 2022
% Result : Theorem 0.58s 0.75s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 4 RR)
% Number of literals : 11 ( 10 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
composition(X,one) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',composition_identity) ).
cnf(8,axiom,
converse(converse(X)) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_idempotence) ).
cnf(11,axiom,
converse(composition(X,Y)) = composition(converse(Y),converse(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001+0.ax',converse_multiplicativity) ).
cnf(18,negated_conjecture,
( composition('SKOLEMAAAV1',one) != 'SKOLEMAAAV1'
| composition(one,'SKOLEMAAAV1') != 'SKOLEMAAAV1' ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(19,plain,
composition(one,'SKOLEMAAAV1') != 'SKOLEMAAAV1',
inference('REWRITE',[status(thm)],[18,5,theory(equality)]) ).
cnf(35,plain,
converse(composition(converse(X),Y)) = composition(converse(Y),X),
inference('PARAMODULATE',[status(thm)],[11,8,theory(equality)]) ).
cnf(219,plain,
X = composition(converse(one),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[35,5,theory(equality)]),8,theory(equality)]) ).
cnf(243,plain,
one = converse(one),
inference('PARAMODULATE',[status(thm)],[5,219,theory(equality)]) ).
cnf(244,plain,
X = composition(one,X),
inference('REWRITE',[status(thm)],[219,243,theory(equality)]) ).
cnf(245,plain,
$false,
inference('REWRITE',[status(thm)],[19,244,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : REL014+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 11:13:46 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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 2022-07-08T11:13:46
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-08T11:13:46
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|join| ?X ?Y) (|join| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|join| ?X (|join| ?Y ?Z)) (|join| (|join| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized associativity assertion (= (|composition| ?X (|composition| ?Y ?Z)) (|composition| (|composition| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|composition| ?X |one|) ?X).
% 0.19/0.48 ; Recognized possible right inverse assertion (= |top| (|join| ?X (|complement| ?X))).
% 0.19/0.48 ; Recognized possible right inverse assertion (= |zero| (|meet| ?X (|complement| ?X))).
% 0.19/0.48 ; Declaring join to be commutative.
% 0.58/0.75 ; Declaring join to be associative-commutative.
% 0.58/0.75
% 0.58/0.75 #||
% 0.58/0.75 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.58/0.75 % SZS output start Refutation
% See solution above
% 0.58/0.75 ||#
% 0.58/0.75
% 0.58/0.75 ; Summary of computation:
% 0.58/0.75 ; 999 formulas have been input or derived (from 40 formulas).
% 0.58/0.75 ; 245 (25%) were retained. Of these,
% 0.58/0.75 ; 89 (36%) were simplified or subsumed later,
% 0.58/0.75 ; 156 (64%) are still being kept.
% 0.58/0.75 ;
% 0.58/0.75 ; Run time in seconds excluding printing time:
% 0.58/0.75 ; 0.004 1% Read assertion file (1 call)
% 0.58/0.75 ; 0.001 0% Assert (14 calls)
% 0.58/0.75 ; 0.018 6% Process new row (957 calls)
% 0.58/0.75 ; 0.001 0% Resolution (78 calls)
% 0.58/0.75 ; 0.023 8% Paramodulation (39 calls)
% 0.58/0.75 ; 0.001 0% Embedding (88 calls)
% 0.58/0.75 ; 0.071 26% Forward simplification (762 calls)
% 0.58/0.75 ; 0.011 4% Backward simplification (159 calls)
% 0.58/0.75 ; 0.012 4% Ordering (3,088 calls)
% 0.58/0.75 ; 0.110 40% Ordering ac (1,924 calls)
% 0.58/0.75 ; 0.000 0% Sortal reasoning (32 calls)
% 0.58/0.75 ; 0.000 0% Purity testing (1 call)
% 0.58/0.75 ; 0.026 9% Other
% 0.58/0.75 ; 0.278 Total
% 0.58/0.75 ; 0.279 Real time
% 0.58/0.75 ;
% 0.58/0.75 ; Term-hash-array has 783 terms in all.
% 0.58/0.75 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.58/0.75 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.58/0.75 ; Path-index has 580 entries (606 at peak, 850 added, 270 deleted).
% 0.58/0.75 ; Path-index has 953 nodes (976 at peak, 1,034 added, 81 deleted).
% 0.58/0.75 ; Trie-index has 580 entries (606 at peak, 850 added, 270 deleted).
% 0.58/0.75 ; Trie-index has 762 nodes (821 at peak, 854 added, 92 deleted).
% 0.58/0.75 ; Retrieved 75,280 generalization terms in 6,692 calls.
% 0.58/0.75 ; Retrieved 808 instance terms in 237 calls.
% 0.58/0.75 ; Retrieved 2,930 unifiable terms in 219 calls.
% 0.58/0.75 ;
% 0.58/0.75 ; The agenda of rows to process has 15 entries:
% 0.58/0.75 ; 1 with value 12 1 with value 15 2 with value 19
% 0.58/0.75 ; 2 with value 13 2 with value 16 1 with value 20
% 0.58/0.75 ; 2 with value 14 4 with value 17
% 0.58/0.75 ; The agenda of rows to give has 127 entries:
% 0.58/0.75 ; 2 with value (4 9) 14 with value (4 21) 4 with value (4 28)
% 0.58/0.75 ; 2 with value (4 15) 39 with value (4 22) 2 with value (4 29)
% 0.58/0.75 ; 7 with value (4 16) 7 with value (4 23) 2 with value (4 31)
% 0.58/0.75 ; 5 with value (4 17) 3 with value (4 24) 2 with value (4 32)
% 0.58/0.75 ; 2 with value (4 18) 4 with value (4 25) 2 with value (4 36)
% 0.58/0.75 ; 3 with value (4 19) 2 with value (4 26) 2 with value (4 37)
% 0.58/0.75 ; 17 with value (4 20) 6 with value (4 27)
% 0.58/0.75 Evaluation took:
% 0.58/0.75 0.279 seconds of real time
% 0.58/0.75 0.259727 seconds of user run time
% 0.58/0.75 0.019259 seconds of system run time
% 0.58/0.75 [Run times include 0.006 seconds GC run time.]
% 0.58/0.75 0 calls to %EVAL
% 0.58/0.75 0 page faults and
% 0.58/0.75 14,410,176 bytes consed.
% 0.58/0.75 :PROOF-FOUND
% 0.58/0.75 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T11:13:46
% 0.58/0.75 :PROOF-FOUND
% 0.58/0.75 *
%------------------------------------------------------------------------------