TSTP Solution File: SET084-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET084-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 05:07:05 EDT 2022
% Result : Unsatisfiable 0.42s 0.61s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 7 unt; 1 nHn; 6 RR)
% Number of literals : 12 ( 5 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pair_member,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
cnf(unordered_pair2,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(prove_singleton_identified_by_element2_1,negated_conjecture,
singleton(x) = singleton(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).
cnf(prove_singleton_identified_by_element2_2,negated_conjecture,
member(y,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).
cnf(prove_singleton_identified_by_element2_3,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).
cnf(124,plain,
member(y,unordered_pair(y,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,prove_singleton_identified_by_element2_2]) ).
cnf(177,plain,
~ member(y,singleton(x)),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,prove_singleton_identified_by_element2_3,prove_singleton_identified_by_element2_3]),singleton_set,theory(equality)]) ).
cnf(493,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[124,singleton_set,theory(equality)]),177,prove_singleton_identified_by_element2_1,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET084-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n007.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 : Sun Jul 10 16:46:32 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:46:32
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-10T16:46:32
% 0.42/0.61
% 0.42/0.61
% 0.42/0.61 #||
% 0.42/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.61 % SZS output start Refutation
% See solution above
% 0.42/0.61 ||#
% 0.42/0.61
% 0.42/0.61 ; Summary of computation:
% 0.42/0.61 ; 978 formulas have been input or derived (from 111 formulas).
% 0.42/0.61 ; 493 (50%) were retained. Of these,
% 0.42/0.61 ; 13 ( 3%) were simplified or subsumed later,
% 0.42/0.61 ; 480 (97%) are still being kept.
% 0.42/0.61 ;
% 0.42/0.61 ; Run time in seconds:
% 0.42/0.61 ; 0.017 12% Read assertion file (1 call)
% 0.42/0.61 ; 0.002 1% Assert (94 calls)
% 0.42/0.61 ; 0.043 31% Process new row (840 calls)
% 0.42/0.61 ; 0.024 17% Resolution (220 calls)
% 0.42/0.61 ; 0.005 4% Paramodulation (110 calls)
% 0.42/0.61 ; 0.000 0% Factoring (3 calls)
% 0.42/0.61 ; 0.003 2% Condensing (210 calls)
% 0.42/0.61 ; 0.006 4% Forward subsumption (210 calls)
% 0.42/0.61 ; 0.004 3% Backward subsumption (197 calls)
% 0.42/0.61 ; 0.000 0% Clause clause subsumption (104 calls)
% 0.42/0.61 ; 0.006 4% Forward simplification (840 calls)
% 0.42/0.61 ; 0.001 1% Backward simplification (481 calls)
% 0.42/0.61 ; 0.000 0% Ordering (410 calls)
% 0.42/0.61 ; 0.001 1% Sortal reasoning (32 calls)
% 0.42/0.61 ; 0.000 0% Purity testing (1 call)
% 0.42/0.61 ; 0.027 19% Other
% 0.42/0.61 ; 0.139 Total
% 0.42/0.61 ; 0.140 Real time
% 0.42/0.61 ;
% 0.42/0.61 ; Term-hash-array has 1,138 terms in all.
% 0.42/0.61 ; Feature-vector-row-index has 197 entries (197 at peak, 197 added, 0 deleted).
% 0.42/0.61 ; Feature-vector-row-index has 1,291 nodes (1,291 at peak, 1,291 added, 0 deleted).
% 0.42/0.61 ; Retrieved 94 possibly forward subsuming rows in 210 calls.
% 0.42/0.61 ; Retrieved 32 possibly backward subsumed rows in 197 calls.
% 0.42/0.61 ; Path-index has 1,147 entries (1,147 at peak, 1,148 added, 1 deleted).
% 0.42/0.61 ; Path-index has 2,915 nodes (2,915 at peak, 2,916 added, 1 deleted).
% 0.42/0.61 ; Trie-index has 1,147 entries (1,147 at peak, 1,148 added, 1 deleted).
% 0.42/0.61 ; Trie-index has 3,610 nodes (3,610 at peak, 3,611 added, 1 deleted).
% 0.42/0.61 ; Retrieved 648 generalization terms in 2,304 calls.
% 0.42/0.61 ; Retrieved 301 instance terms in 283 calls.
% 0.42/0.61 ; Retrieved 17,743 unifiable terms in 1,334 calls.
% 0.42/0.61 ;
% 0.42/0.61 ; The agenda of rows to process has 64 entries:
% 0.42/0.61 ; 1 with value 9 4 with value 12 12 with value 16
% 0.42/0.61 ; 3 with value 10 16 with value 14 1 with value 18
% 0.42/0.61 ; 1 with value 11 24 with value 15 2 with value 19
% 0.42/0.61 ; The agenda of rows to give has 369 entries:
% 0.42/0.61 ; 11 with value (4 8) 3 with value (4 20) 2 with value (4 34)
% 0.42/0.61 ; 11 with value (4 9) 4 with value (4 21) 2 with value (4 37)
% 0.42/0.61 ; 35 with value (4 10) 3 with value (4 22) 1 with value (4 43)
% 0.42/0.61 ; 29 with value (4 11) 9 with value (4 23) 1 with value (4 44)
% 0.42/0.61 ; 25 with value (4 12) 5 with value (4 24) 1 with value (4 45)
% 0.42/0.61 ; 52 with value (4 13) 4 with value (4 26) 3 with value (4 46)
% 0.42/0.61 ; 51 with value (4 14) 3 with value (4 29) 1 with value (4 49)
% 0.42/0.61 ; 41 with value (4 15) 3 with value (4 30) 1 with value (4 51)
% 0.42/0.61 ; 14 with value (4 16) 2 with value (4 31) 1 with value (4 53)
% 0.42/0.61 ; 5 with value (4 17) 1 with value (4 32) 1 with value (4 59)
% 0.42/0.61 ; 25 with value (4 18) 2 with value (4 33) 1 with value (4 63)
% 0.42/0.61 ; 16 with value (4 19)
% 0.42/0.61 Evaluation took:
% 0.42/0.61 0.141 seconds of real time
% 0.42/0.61 0.129123 seconds of user run time
% 0.42/0.61 0.011059 seconds of system run time
% 0.42/0.61 0 calls to %EVAL
% 0.42/0.61 0 page faults and
% 0.42/0.61 8,464,328 bytes consed.
% 0.42/0.61 :PROOF-FOUND
% 0.42/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T16:46:32
% 0.42/0.61 :PROOF-FOUND
% 0.42/0.61 *
%------------------------------------------------------------------------------