TSTP Solution File: SET117-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET117-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 05:07:35 EDT 2022
% Result : Unsatisfiable 0.54s 0.76s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 13 unt; 0 nHn; 6 RR)
% Number of literals : 16 ( 7 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(unordered_pairs_in_universal,axiom,
member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
cnf(ordered_pair,axiom,
unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(union,axiom,
complement(intersection(complement(X),complement(Y))) = union(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
cnf(unordered_pairs_and_singletons,axiom,
unordered_pair(X,Y) = union(singleton(X),singleton(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pairs_and_singletons) ).
cnf(148,plain,
unordered_pair(X,Y) = complement(intersection(complement(singleton(X)),complement(singleton(Y)))),
inference('REWRITE',[status(thm)],[unordered_pairs_and_singletons,union,theory(equality)]) ).
cnf(prove_corollary_1_to_ordered_pairs_are_sets_1,negated_conjecture,
ordered_pair(first(x),second(x)) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_ordered_pairs_are_sets_1) ).
cnf(prove_corollary_1_to_ordered_pairs_are_sets_2,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_ordered_pairs_are_sets_2) ).
cnf(172,plain,
complement(intersection(complement(singleton(singleton(X))),complement(singleton(complement(intersection(complement(singleton(X)),complement(singleton(singleton(Y))))))))) = ordered_pair(X,Y),
inference('REWRITE',[status(thm)],[ordered_pair,148,theory(equality)]) ).
cnf(178,plain,
complement(intersection(complement(singleton(singleton(first(x)))),complement(singleton(complement(intersection(complement(singleton(first(x))),complement(singleton(singleton(second(x)))))))))) = x,
inference('REWRITE',[status(thm)],[prove_corollary_1_to_ordered_pairs_are_sets_1,172,theory(equality)]) ).
cnf(210,plain,
member(complement(intersection(complement(singleton(X)),complement(singleton(Y)))),universal_class),
inference('REWRITE',[status(thm)],[unordered_pairs_in_universal,148,theory(equality)]) ).
cnf(269,plain,
~ member(x,X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_corollary_1_to_ordered_pairs_are_sets_2]) ).
cnf(721,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[210,178,theory(equality)]),269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SET117-7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n008.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 : Mon Jul 11 06:16:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T06:16:08
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-11T06:16:08
% 0.18/0.50
% 0.18/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.54/0.76 ; Declaring unordered_pair to be commutative.
% 0.54/0.76
% 0.54/0.76 #||
% 0.54/0.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.76 % SZS output start Refutation
% See solution above
% 0.54/0.77 ||#
% 0.54/0.77
% 0.54/0.77 ; Summary of computation:
% 0.54/0.77 ; 1672 formulas have been input or derived (from 114 formulas).
% 0.54/0.77 ; 721 (43%) were retained. Of these,
% 0.54/0.77 ; 79 (11%) were simplified or subsumed later,
% 0.54/0.77 ; 642 (89%) are still being kept.
% 0.54/0.77 ;
% 0.60/0.77 ; Run time in seconds excluding printing time:
% 0.60/0.77 ; 0.030 10% Read assertion file (1 call)
% 0.60/0.77 ; 0.004 1% Assert (165 calls)
% 0.60/0.77 ; 0.071 23% Process new row (1,532 calls)
% 0.60/0.77 ; 0.028 9% Resolution (226 calls)
% 0.60/0.77 ; 0.004 1% Paramodulation (113 calls)
% 0.60/0.77 ; 0.000 0% Factoring (13 calls)
% 0.60/0.77 ; 0.008 3% Condensing (740 calls)
% 0.60/0.77 ; 0.056 18% Forward subsumption (740 calls)
% 0.60/0.77 ; 0.020 7% Backward subsumption (548 calls)
% 0.60/0.77 ; 0.012 4% Clause clause subsumption (1,967 calls)
% 0.60/0.77 ; 0.043 14% Forward simplification (1,529 calls)
% 0.60/0.77 ; 0.003 1% Backward simplification (704 calls)
% 0.60/0.77 ; 0.005 2% Ordering (1,928 calls)
% 0.60/0.77 ; 0.001 0% Sortal reasoning (32 calls)
% 0.60/0.77 ; 0.000 0% Purity testing (1 call)
% 0.60/0.77 ; 0.021 7% Other
% 0.60/0.77 ; 0.306 Total
% 0.60/0.77 ; 0.316 Real time
% 0.60/0.77 ;
% 0.60/0.77 ; Term-hash-array has 1,732 terms in all.
% 0.60/0.77 ; Feature-vector-row-index has 506 entries (506 at peak, 548 added, 42 deleted).
% 0.60/0.77 ; Feature-vector-row-index has 3,771 nodes (3,771 at peak, 4,009 added, 238 deleted).
% 0.60/0.77 ; Retrieved 2,954 possibly forward subsuming rows in 740 calls.
% 0.60/0.77 ; Retrieved 172 possibly backward subsumed rows in 548 calls.
% 0.60/0.77 ; Path-index has 1,650 entries (1,650 at peak, 1,791 added, 141 deleted).
% 0.60/0.77 ; Path-index has 6,103 nodes (6,103 at peak, 6,286 added, 183 deleted).
% 0.60/0.77 ; Trie-index has 1,650 entries (1,650 at peak, 1,791 added, 141 deleted).
% 0.60/0.77 ; Trie-index has 7,169 nodes (7,169 at peak, 7,557 added, 388 deleted).
% 0.60/0.77 ; Retrieved 3,448 generalization terms in 11,002 calls.
% 0.60/0.77 ; Retrieved 301 instance terms in 155 calls.
% 0.60/0.77 ; Retrieved 21,692 unifiable terms in 1,188 calls.
% 0.60/0.77 ;
% 0.60/0.77 ; The agenda of rows to process has 11 entries:
% 0.60/0.77 ; 1 with value 11 4 with value 34 1 with value 39
% 0.60/0.77 ; 1 with value 13 1 with value 36 1 with value 60
% 0.60/0.77 ; 1 with value 33 1 with value 37
% 0.60/0.77 ; The agenda of input rows to give has 37 entries:
% 0.60/0.77 ; 1 with value 33 1 with value 43 1 with value 64
% 0.60/0.77 ; 5 with value 35 4 with value 46 1 with value 66
% 0.60/0.77 ; 1 with value 36 1 with value 48 1 with value 74
% 0.60/0.77 ; 1 with value 37 2 with value 53 2 with value 94
% 0.60/0.77 ; 4 with value 39 1 with value 56 1 with value 123
% 0.60/0.77 ; 1 with value 40 1 with value 57 2 with value 139
% 0.60/0.77 ; 2 with value 41 2 with value 62 2 with value 212
% 0.60/0.77 ; The agenda of rows to give has 493 entries:
% 0.60/0.77 ; 2 with value (4 4) 14 with value (4 25) 6 with value (4 46)
% 0.60/0.77 ; 3 with value (4 5) 11 with value (4 26) 2 with value (4 48)
% 0.60/0.77 ; 14 with value (4 7) 12 with value (4 27) 2 with value (4 49)
% 0.60/0.77 ; 10 with value (4 8) 14 with value (4 28) 2 with value (4 50)
% 0.60/0.77 ; 10 with value (4 9) 5 with value (4 29) 2 with value (4 51)
% 0.60/0.77 ; 8 with value (4 10) 11 with value (4 30) 3 with value (4 52)
% 0.60/0.77 ; 6 with value (4 11) 19 with value (4 31) 3 with value (4 53)
% 0.60/0.77 ; 9 with value (4 12) 6 with value (4 32) 2 with value (4 54)
% 0.60/0.77 ; 13 with value (4 13) 10 with value (4 33) 2 with value (4 55)
% 0.60/0.77 ; 15 with value (4 14) 9 with value (4 34) 3 with value (4 57)
% 0.60/0.77 ; 21 with value (4 15) 8 with value (4 35) 2 with value (4 58)
% 0.60/0.77 ; 16 with value (4 16) 10 with value (4 36) 4 with value (4 59)
% 0.60/0.77 ; 17 with value (4 17) 5 with value (4 37) 2 with value (4 62)
% 0.60/0.77 ; 23 with value (4 18) 4 with value (4 38) 1 with value (4 63)
% 0.60/0.77 ; 25 with value (4 19) 1 with value (4 39) 4 with value (4 65)
% 0.60/0.77 ; 19 with value (4 20) 7 with value (4 40) 1 with value (4 70)
% 0.60/0.77 ; 19 with value (4 21) 3 with value (4 41) 2 with value (4 78)
% 0.60/0.77 ; 13 with value (4 22) 12 with value (4 43) 2 with value (4 106)
% 0.60/0.77 ; 20 with value (4 23) 4 with value (4 44) 1 with value (4 113)
% 0.60/0.77 ; 16 with value (4 24) 3 with value (4 45)
% 0.60/0.77 Evaluation took:
% 0.60/0.77 0.317 seconds of real time
% 0.60/0.77 0.291421 seconds of user run time
% 0.60/0.77 0.025724 seconds of system run time
% 0.60/0.77 [Run times include 0.02 seconds GC run time.]
% 0.60/0.77 0 calls to %EVAL
% 0.60/0.77 0 page faults and
% 0.60/0.77 25,362,192 bytes consed.
% 0.60/0.77 :PROOF-FOUND
% 0.60/0.77 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T06:16:09
% 0.60/0.77 :PROOF-FOUND
% 0.60/0.77 *
%------------------------------------------------------------------------------