TSTP Solution File: SET085-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET085-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 05:07:06 EDT 2022
% Result : Unsatisfiable 0.48s 0.64s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 8 unt; 1 nHn; 7 RR)
% Number of literals : 13 ( 6 equ; 5 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 : 6 ( 6 usr; 4 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_in_unordered_pair3_1,negated_conjecture,
unordered_pair(y,z) = singleton(x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_1) ).
cnf(prove_singleton_in_unordered_pair3_2,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_2) ).
cnf(prove_singleton_in_unordered_pair3_3,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_3) ).
cnf(prove_singleton_in_unordered_pair3_4,negated_conjecture,
x != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair3_4) ).
cnf(125,plain,
member(x,unordered_pair(x,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,prove_singleton_in_unordered_pair3_2]) ).
cnf(177,plain,
~ member(x,singleton(x)),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,prove_singleton_in_unordered_pair3_3,prove_singleton_in_unordered_pair3_4]),prove_singleton_in_unordered_pair3_1,theory(equality)]) ).
cnf(513,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[125,singleton_set,theory(equality)]),177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET085-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 11:16:16 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:16:16
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-10T11:16:16
% 0.48/0.64
% 0.48/0.64
% 0.48/0.64 #||
% 0.48/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64 % SZS output start Refutation
% See solution above
% 0.48/0.64 ||#
% 0.48/0.64
% 0.48/0.64 ; Summary of computation:
% 0.48/0.64 ; 1006 formulas have been input or derived (from 115 formulas).
% 0.48/0.64 ; 513 (51%) were retained. Of these,
% 0.48/0.64 ; 13 ( 3%) were simplified or subsumed later,
% 0.48/0.64 ; 500 (97%) are still being kept.
% 0.48/0.64 ;
% 0.48/0.64 ; Run time in seconds:
% 0.48/0.64 ; 0.018 12% Read assertion file (1 call)
% 0.48/0.64 ; 0.002 1% Assert (95 calls)
% 0.48/0.64 ; 0.031 21% Process new row (865 calls)
% 0.48/0.64 ; 0.020 14% Resolution (228 calls)
% 0.48/0.64 ; 0.002 1% Paramodulation (114 calls)
% 0.48/0.64 ; 0.000 0% Factoring (3 calls)
% 0.48/0.64 ; 0.001 1% Condensing (209 calls)
% 0.48/0.64 ; 0.013 9% Forward subsumption (209 calls)
% 0.48/0.64 ; 0.005 3% Backward subsumption (196 calls)
% 0.48/0.64 ; 0.000 0% Clause clause subsumption (102 calls)
% 0.48/0.64 ; 0.015 10% Forward simplification (865 calls)
% 0.48/0.64 ; 0.004 3% Backward simplification (501 calls)
% 0.48/0.64 ; 0.003 2% Ordering (401 calls)
% 0.48/0.64 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.64 ; 0.000 0% Purity testing (1 call)
% 0.48/0.64 ; 0.032 22% Other
% 0.48/0.64 ; 0.146 Total
% 0.48/0.64 ; 0.147 Real time
% 0.48/0.64 ;
% 0.48/0.64 ; Term-hash-array has 1,167 terms in all.
% 0.48/0.64 ; Feature-vector-row-index has 196 entries (196 at peak, 196 added, 0 deleted).
% 0.48/0.64 ; Feature-vector-row-index has 1,264 nodes (1,264 at peak, 1,264 added, 0 deleted).
% 0.48/0.64 ; Retrieved 88 possibly forward subsuming rows in 209 calls.
% 0.48/0.64 ; Retrieved 31 possibly backward subsumed rows in 196 calls.
% 0.48/0.64 ; Path-index has 1,177 entries (1,177 at peak, 1,178 added, 1 deleted).
% 0.48/0.64 ; Path-index has 2,937 nodes (2,937 at peak, 2,938 added, 1 deleted).
% 0.48/0.64 ; Trie-index has 1,177 entries (1,177 at peak, 1,178 added, 1 deleted).
% 0.48/0.64 ; Trie-index has 3,644 nodes (3,644 at peak, 3,645 added, 1 deleted).
% 0.48/0.64 ; Retrieved 622 generalization terms in 2,109 calls.
% 0.48/0.64 ; Retrieved 322 instance terms in 304 calls.
% 0.48/0.64 ; Retrieved 18,084 unifiable terms in 1,394 calls.
% 0.48/0.64 ;
% 0.48/0.64 ; The agenda of rows to process has 66 entries:
% 0.48/0.64 ; 1 with value 9 4 with value 12 12 with value 16
% 0.48/0.64 ; 5 with value 10 16 with value 14 1 with value 18
% 0.48/0.64 ; 1 with value 11 24 with value 15 2 with value 19
% 0.48/0.64 ; The agenda of rows to give has 385 entries:
% 0.48/0.64 ; 14 with value (4 8) 3 with value (4 20) 2 with value (4 34)
% 0.48/0.64 ; 11 with value (4 9) 4 with value (4 21) 2 with value (4 37)
% 0.48/0.64 ; 35 with value (4 10) 3 with value (4 22) 1 with value (4 43)
% 0.48/0.64 ; 38 with value (4 11) 9 with value (4 23) 1 with value (4 44)
% 0.48/0.64 ; 25 with value (4 12) 5 with value (4 24) 1 with value (4 45)
% 0.48/0.64 ; 59 with value (4 13) 4 with value (4 26) 3 with value (4 46)
% 0.48/0.64 ; 51 with value (4 14) 3 with value (4 29) 1 with value (4 49)
% 0.48/0.64 ; 42 with value (4 15) 3 with value (4 30) 1 with value (4 51)
% 0.48/0.64 ; 12 with value (4 16) 1 with value (4 31) 1 with value (4 53)
% 0.48/0.64 ; 5 with value (4 17) 1 with value (4 32) 1 with value (4 59)
% 0.48/0.64 ; 25 with value (4 18) 2 with value (4 33) 1 with value (4 63)
% 0.48/0.64 ; 15 with value (4 19)
% 0.48/0.64 Evaluation took:
% 0.48/0.64 0.147 seconds of real time
% 0.48/0.64 0.132192 seconds of user run time
% 0.48/0.64 0.01496 seconds of system run time
% 0.48/0.64 0 calls to %EVAL
% 0.48/0.64 0 page faults and
% 0.48/0.64 8,558,544 bytes consed.
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:16:16
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 *
%------------------------------------------------------------------------------