TSTP Solution File: SET012-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET012-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:05:40 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 8 unt; 6 nHn; 14 RR)
% Number of literals : 31 ( 6 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(extensionality1,axiom,
( little_set(f1(X,Y))
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality1) ).
cnf(extensionality2,axiom,
( member(f1(X,Y),X)
| member(f1(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality2) ).
cnf(extensionality3,axiom,
( ~ member(f1(X,Y),X)
| ~ member(f1(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extensionality3) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
cnf(complement2,axiom,
( member(X,complement(Y))
| ~ little_set(X)
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
cnf(complement_of_a_is_b,hypothesis,
complement(as) = bs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_a_is_b) ).
cnf(complement_of_b_is_c,hypothesis,
complement(bs) = cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_of_b_is_c) ).
cnf(prove_a_equals_c,negated_conjecture,
as != cs,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_equals_c) ).
cnf(12,plain,
little_set(f1(as,cs)),
inference('UR-RESOLVE',[status(thm)],[extensionality1,prove_a_equals_c]) ).
cnf(15,plain,
( ~ member(X,cs)
| ~ member(X,bs) ),
inference('PARAMODULATE',[status(thm)],[complement1,complement_of_b_is_c,theory(equality)]) ).
cnf(16,plain,
( ~ member(X,bs)
| ~ member(X,as) ),
inference('PARAMODULATE',[status(thm)],[complement1,complement_of_a_is_b,theory(equality)]) ).
cnf(22,plain,
( member(f1(as,cs),complement(X))
| member(f1(as,cs),X) ),
inference('HYPERRESOLVE',[status(thm)],[complement2,12]) ).
cnf(39,plain,
( member(f1(as,cs),cs)
| member(f1(as,cs),bs) ),
inference('PARAMODULATE',[status(thm)],[22,complement_of_b_is_c,theory(equality)]) ).
cnf(40,plain,
( member(f1(as,cs),bs)
| member(f1(as,cs),as) ),
inference('PARAMODULATE',[status(thm)],[22,complement_of_a_is_b,theory(equality)]) ).
cnf(45,plain,
member(f1(as,cs),as),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[15,40,extensionality2]),prove_a_equals_c]) ).
cnf(46,plain,
~ member(f1(as,cs),bs),
inference('UR-RESOLVE',[status(thm)],[16,45]) ).
cnf(47,plain,
member(f1(as,cs),cs),
inference('REWRITE',[status(thm)],[39,46]) ).
cnf(48,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[extensionality3,45,prove_a_equals_c]),47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET012-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n019.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 Jul 10 19:44:53 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 2022-07-10T19:44:53
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T19:44:53
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 155 formulas have been input or derived (from 35 formulas).
% 0.19/0.50 ; 48 (31%) were retained. Of these,
% 0.19/0.50 ; 9 (19%) were simplified or subsumed later,
% 0.19/0.50 ; 39 (81%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (11 calls)
% 0.19/0.50 ; 0.007 18% Process new row (120 calls)
% 0.19/0.50 ; 0.002 5% Resolution (68 calls)
% 0.19/0.50 ; 0.000 0% Paramodulation (34 calls)
% 0.19/0.50 ; 0.001 2% Factoring (9 calls)
% 0.19/0.50 ; 0.001 2% Condensing (40 calls)
% 0.19/0.50 ; 0.001 2% Forward subsumption (40 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (23 calls)
% 0.19/0.50 ; 0.001 2% Clause clause subsumption (35 calls)
% 0.19/0.50 ; 0.002 5% Forward simplification (118 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (48 calls)
% 0.19/0.50 ; 0.000 0% Ordering (104 calls)
% 0.19/0.50 ; 0.001 2% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.022 55% Other
% 0.19/0.50 ; 0.040 Total
% 0.19/0.50 ; 0.042 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 69 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 18 entries (21 at peak, 23 added, 5 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 68 nodes (68 at peak, 75 added, 7 deleted).
% 0.19/0.50 ; Retrieved 33 possibly forward subsuming rows in 40 calls.
% 0.19/0.50 ; Retrieved 6 possibly backward subsumed rows in 23 calls.
% 0.19/0.50 ; Path-index has 64 entries (64 at peak, 75 added, 11 deleted).
% 0.19/0.50 ; Path-index has 84 nodes (84 at peak, 91 added, 7 deleted).
% 0.19/0.50 ; Trie-index has 64 entries (64 at peak, 75 added, 11 deleted).
% 0.19/0.50 ; Trie-index has 105 nodes (106 at peak, 125 added, 20 deleted).
% 0.19/0.50 ; Retrieved 51 generalization terms in 190 calls.
% 0.19/0.50 ; Retrieved 24 instance terms in 24 calls.
% 0.19/0.50 ; Retrieved 1,081 unifiable terms in 315 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 3 entries:
% 0.19/0.50 ; 1 with value 13 2 with value 16
% 0.19/0.50 ; The agenda of rows to give has 8 entries:
% 0.19/0.50 ; 1 with value (4 10) 3 with value (4 17) 1 with value (4 20)
% 0.19/0.50 ; 1 with value (4 12) 2 with value (4 19)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.043 seconds of real time
% 0.19/0.50 0.036219 seconds of user run time
% 0.19/0.50 0.006153 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,935,328 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T19:44:53
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------