TSTP Solution File: SET117+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : Tue Jul 19 05:07:34 EDT 2022
% Result : Theorem 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 2 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',subclass_defn) ).
cnf(4,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',class_elements_are_sets) ).
cnf(11,axiom,
member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair) ).
cnf(13,axiom,
ordered_pair(X,Y) = unordered_pair(singleton(X),unordered_pair(X,singleton(Y))),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',ordered_pair_defn) ).
cnf(92,negated_conjecture,
ordered_pair(first('SKOLEMAAAV8'),second('SKOLEMAAAV8')) = 'SKOLEMAAAV8',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_ordered_pairs_are_sets) ).
cnf(93,negated_conjecture,
~ member('SKOLEMAAAV8',universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_1_to_ordered_pairs_are_sets) ).
cnf(170,plain,
~ member('SKOLEMAAAV8',X),
inference('UR-RESOLVE',[status(thm)],[1,4,93]) ).
cnf(275,plain,
member(ordered_pair(X,Y),universal_class),
inference('PARAMODULATE',[status(thm)],[11,13,theory(equality)]) ).
cnf(1289,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[275,92,theory(equality)]),170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET117+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n010.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 Jul 10 05:17:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-10T05:17:00
% 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 2022-07-10T05:17:00
% 0.60/0.76
% 0.60/0.76
% 0.60/0.76 #||
% 0.60/0.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.76 % SZS output start Refutation
% See solution above
% 0.60/0.76 ||#
% 0.60/0.76
% 0.60/0.76 ; Summary of computation:
% 0.60/0.76 ; 2708 formulas have been input or derived (from 132 formulas).
% 0.60/0.76 ; 1289 (48%) were retained. Of these,
% 0.60/0.76 ; 53 ( 4%) were simplified or subsumed later,
% 0.60/0.76 ; 1236 (96%) are still being kept.
% 0.60/0.76 ;
% 0.60/0.76 ; Run time in seconds excluding printing time:
% 0.60/0.76 ; 0.011 4% Read assertion file (1 call)
% 0.60/0.76 ; 0.003 1% Assert (44 calls)
% 0.60/0.76 ; 0.093 32% Process new row (2,365 calls)
% 0.60/0.76 ; 0.069 23% Resolution (262 calls)
% 0.60/0.76 ; 0.000 0% Paramodulation (131 calls)
% 0.60/0.76 ; 0.000 0% Factoring (6 calls)
% 0.60/0.76 ; 0.004 1% Condensing (658 calls)
% 0.60/0.76 ; 0.027 9% Forward subsumption (658 calls)
% 0.60/0.76 ; 0.018 6% Backward subsumption (597 calls)
% 0.60/0.76 ; 0.003 1% Clause clause subsumption (1,341 calls)
% 0.60/0.76 ; 0.022 7% Forward simplification (2,268 calls)
% 0.60/0.76 ; 0.004 1% Backward simplification (1,286 calls)
% 0.60/0.76 ; 0.003 1% Ordering (1,358 calls)
% 0.60/0.76 ; 0.000 0% Sortal reasoning (32 calls)
% 0.60/0.76 ; 0.000 0% Purity testing (1 call)
% 0.60/0.76 ; 0.037 13% Other
% 0.60/0.76 ; 0.294 Total
% 0.60/0.76 ; 0.295 Real time
% 0.60/0.76 ;
% 0.60/0.76 ; Term-hash-array has 2,525 terms in all.
% 0.60/0.76 ; Feature-vector-row-index has 573 entries (573 at peak, 597 added, 24 deleted).
% 0.60/0.76 ; Feature-vector-row-index has 2,178 nodes (2,178 at peak, 2,328 added, 150 deleted).
% 0.60/0.76 ; Retrieved 1,236 possibly forward subsuming rows in 658 calls.
% 0.60/0.76 ; Retrieved 616 possibly backward subsumed rows in 597 calls.
% 0.60/0.76 ; Path-index has 2,472 entries (2,472 at peak, 2,548 added, 76 deleted).
% 0.60/0.76 ; Path-index has 3,546 nodes (3,546 at peak, 3,615 added, 69 deleted).
% 0.60/0.76 ; Trie-index has 2,472 entries (2,472 at peak, 2,548 added, 76 deleted).
% 0.60/0.76 ; Trie-index has 7,088 nodes (7,088 at peak, 7,262 added, 174 deleted).
% 0.60/0.76 ; Retrieved 1,589 generalization terms in 5,377 calls.
% 0.60/0.76 ; Retrieved 719 instance terms in 688 calls.
% 0.60/0.76 ; Retrieved 81,221 unifiable terms in 2,579 calls.
% 0.60/0.76 ;
% 0.60/0.76 ; The agenda of rows to process has 205 entries:
% 0.60/0.76 ; 5 with value 9 45 with value 16 11 with value 22
% 0.60/0.76 ; 7 with value 10 17 with value 17 1 with value 23
% 0.60/0.76 ; 12 with value 11 24 with value 18 2 with value 24
% 0.60/0.76 ; 1 with value 12 5 with value 19 1 with value 25
% 0.60/0.76 ; 1 with value 13 14 with value 20 1 with value 41
% 0.60/0.76 ; 23 with value 14 5 with value 21 2 with value 42
% 0.60/0.76 ; 28 with value 15
% 0.60/0.76 ; The agenda of rows to give has 1108 entries:
% 0.60/0.76 ; 2 with value (4 6) 93 with value (4 19) 1 with value (4 31)
% 0.60/0.76 ; 19 with value (4 8) 57 with value (4 20) 4 with value (4 32)
% 0.60/0.76 ; 42 with value (4 9) 45 with value (4 21) 2 with value (4 33)
% 0.60/0.76 ; 68 with value (4 10) 28 with value (4 22) 1 with value (4 34)
% 0.60/0.76 ; 90 with value (4 11) 21 with value (4 23) 2 with value (4 35)
% 0.60/0.76 ; 58 with value (4 12) 12 with value (4 24) 3 with value (4 38)
% 0.60/0.76 ; 79 with value (4 13) 11 with value (4 25) 8 with value (4 39)
% 0.60/0.76 ; 123 with value (4 14) 6 with value (4 26) 1 with value (4 40)
% 0.60/0.76 ; 121 with value (4 15) 4 with value (4 27) 4 with value (4 41)
% 0.60/0.76 ; 65 with value (4 16) 6 with value (4 28) 4 with value (4 42)
% 0.60/0.76 ; 55 with value (4 17) 2 with value (4 29) 2 with value (4 44)
% 0.60/0.76 ; 63 with value (4 18) 2 with value (4 30) 4 with value (4 45)
% 0.60/0.76 Evaluation took:
% 0.60/0.76 0.296 seconds of real time
% 0.60/0.76 0.269856 seconds of user run time
% 0.60/0.76 0.026284 seconds of system run time
% 0.60/0.76 [Run times include 0.012 seconds GC run time.]
% 0.60/0.76 0 calls to %EVAL
% 0.60/0.76 0 page faults and
% 0.60/0.76 19,248,112 bytes consed.
% 0.60/0.76 :PROOF-FOUND
% 0.60/0.76 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T05:17:01
% 0.60/0.76 :PROOF-FOUND
% 0.60/0.76 *
%------------------------------------------------------------------------------