TSTP Solution File: SET085-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET085-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 0.42s 0.59s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 6 unt; 1 nHn; 8 RR)
% Number of literals : 11 ( 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 0 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(set_in_its_singleton,axiom,
( ~ member(X,universal_class)
| member(X,singleton(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',set_in_its_singleton) ).
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(165,plain,
member(x,singleton(x)),
inference('HYPERRESOLVE',[status(thm)],[set_in_its_singleton,prove_singleton_in_unordered_pair3_2]) ).
cnf(303,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,prove_singleton_in_unordered_pair3_3,prove_singleton_in_unordered_pair3_4]),165,prove_singleton_in_unordered_pair3_1,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET085-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.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 06:43:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-07-10T06:43:41
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-10T06:43:41
% 0.20/0.51
% 0.20/0.51 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.42/0.59 ; Declaring unordered_pair to be commutative.
% 0.42/0.59
% 0.42/0.59 #||
% 0.42/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.42/0.59 % SZS output start Refutation
% See solution above
% 0.42/0.59 ||#
% 0.42/0.59
% 0.42/0.59 ; Summary of computation:
% 0.42/0.59 ; 603 formulas have been input or derived (from 84 formulas).
% 0.42/0.59 ; 303 (50%) were retained. Of these,
% 0.42/0.59 ; 14 ( 5%) were simplified or subsumed later,
% 0.42/0.59 ; 289 (95%) are still being kept.
% 0.42/0.59 ;
% 0.42/0.59 ; Run time in seconds excluding printing time:
% 0.42/0.59 ; 0.023 20% Read assertion file (1 call)
% 0.42/0.59 ; 0.003 3% Assert (132 calls)
% 0.42/0.59 ; 0.025 22% Process new row (521 calls)
% 0.42/0.59 ; 0.009 8% Resolution (166 calls)
% 0.42/0.59 ; 0.000 0% Paramodulation (83 calls)
% 0.42/0.59 ; 0.000 0% Factoring (6 calls)
% 0.42/0.59 ; 0.004 3% Condensing (205 calls)
% 0.42/0.59 ; 0.008 7% Forward subsumption (205 calls)
% 0.42/0.59 ; 0.002 2% Backward subsumption (175 calls)
% 0.42/0.59 ; 0.002 2% Clause clause subsumption (144 calls)
% 0.42/0.59 ; 0.006 5% Forward simplification (520 calls)
% 0.42/0.59 ; 0.005 4% Backward simplification (291 calls)
% 0.42/0.59 ; 0.003 3% Ordering (271 calls)
% 0.42/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.42/0.59 ; 0.000 0% Purity testing (1 call)
% 0.42/0.59 ; 0.026 22% Other
% 0.42/0.59 ; 0.116 Total
% 0.42/0.59 ; 0.117 Real time
% 0.42/0.59 ;
% 0.42/0.59 ; Term-hash-array has 582 terms in all.
% 0.42/0.59 ; Feature-vector-row-index has 175 entries (175 at peak, 175 added, 0 deleted).
% 0.42/0.59 ; Feature-vector-row-index has 874 nodes (874 at peak, 874 added, 0 deleted).
% 0.42/0.59 ; Retrieved 168 possibly forward subsuming rows in 205 calls.
% 0.42/0.59 ; Retrieved 24 possibly backward subsumed rows in 175 calls.
% 0.42/0.59 ; Path-index has 590 entries (590 at peak, 593 added, 3 deleted).
% 0.42/0.59 ; Path-index has 1,541 nodes (1,541 at peak, 1,544 added, 3 deleted).
% 0.42/0.59 ; Trie-index has 590 entries (590 at peak, 593 added, 3 deleted).
% 0.42/0.59 ; Trie-index has 1,622 nodes (1,622 at peak, 1,629 added, 7 deleted).
% 0.42/0.59 ; Retrieved 379 generalization terms in 1,057 calls.
% 0.42/0.59 ; Retrieved 135 instance terms in 115 calls.
% 0.42/0.59 ; Retrieved 5,456 unifiable terms in 672 calls.
% 0.42/0.59 ;
% 0.42/0.59 ; The agenda of rows to process has 13 entries:
% 0.42/0.59 ; 8 with value 8 2 with value 15 1 with value 28
% 0.42/0.59 ; 1 with value 14 1 with value 26
% 0.42/0.59 ; The agenda of input rows to give has 40 entries:
% 0.42/0.59 ; 8 with value 15 4 with value 20 1 with value 31
% 0.42/0.59 ; 5 with value 16 3 with value 21 1 with value 34
% 0.42/0.59 ; 3 with value 17 4 with value 22 2 with value 35
% 0.42/0.59 ; 4 with value 18 1 with value 27 1 with value 50
% 0.42/0.59 ; 1 with value 19 2 with value 30
% 0.42/0.59 ; The agenda of rows to give has 166 entries:
% 0.42/0.59 ; 2 with value (4 4) 8 with value (4 12) 9 with value (4 18)
% 0.42/0.59 ; 2 with value (4 5) 9 with value (4 13) 9 with value (4 19)
% 0.42/0.59 ; 22 with value (4 7) 12 with value (4 14) 11 with value (4 20)
% 0.42/0.59 ; 18 with value (4 8) 12 with value (4 15) 4 with value (4 22)
% 0.42/0.59 ; 7 with value (4 9) 9 with value (4 16) 3 with value (4 24)
% 0.42/0.59 ; 11 with value (4 10) 9 with value (4 17) 2 with value (4 30)
% 0.42/0.59 ; 7 with value (4 11)
% 0.42/0.59 Evaluation took:
% 0.42/0.59 0.118 seconds of real time
% 0.42/0.59 0.107122 seconds of user run time
% 0.42/0.59 0.010942 seconds of system run time
% 0.42/0.59 0 calls to %EVAL
% 0.42/0.59 0 page faults and
% 0.42/0.59 5,863,328 bytes consed.
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T06:43:41
% 0.42/0.59 :PROOF-FOUND
% 0.42/0.59 *
%------------------------------------------------------------------------------