TSTP Solution File: SET347+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET347+4 : TPTP v8.1.0. Released v2.2.0.
% 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 05:09:09 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 7 unt; 1 nHn; 7 RR)
% Number of literals : 14 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
cnf(6,axiom,
( equal_set(X,Y)
| ~ subset(X,Y)
| ~ subset(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',equal_set) ).
cnf(15,axiom,
~ member(X,empty_set),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',empty_set) ).
cnf(24,axiom,
( ~ member(X,sum(Y))
| member('SKOLEMAAAV2'(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',sum) ).
cnf(30,negated_conjecture,
~ equal_set(sum(empty_set),empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI38) ).
cnf(32,plain,
subset(empty_set,X),
inference('UR-RESOLVE',[status(thm)],[2,15]) ).
cnf(40,plain,
~ member(X,sum(empty_set)),
inference('UR-RESOLVE',[status(thm)],[24,15]) ).
cnf(61,plain,
~ subset(sum(empty_set),empty_set),
inference('UR-RESOLVE',[status(thm)],[6,32,30]) ).
cnf(78,plain,
subset(sum(empty_set),X),
inference('UR-RESOLVE',[status(thm)],[2,40]) ).
cnf(79,plain,
$false,
inference('REWRITE',[status(thm)],[61,78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET347+4 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 03:24:27 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.21/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46 *
% 0.21/0.46 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T03:24:27
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-11T03:24:27
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 #||
% 0.21/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.51 ||#
% 0.21/0.51
% 0.21/0.51 ; Summary of computation:
% 0.21/0.51 ; 119 formulas have been input or derived (from 35 formulas).
% 0.21/0.51 ; 79 (66%) were retained. Of these,
% 0.21/0.51 ; 1 ( 1%) were simplified or subsumed later,
% 0.21/0.51 ; 78 (99%) are still being kept.
% 0.21/0.51 ;
% 0.21/0.51 ; Run time in seconds excluding printing time:
% 0.21/0.51 ; 0.003 7% Read assertion file (1 call)
% 0.21/0.51 ; 0.001 2% Assert (12 calls)
% 0.21/0.51 ; 0.007 17% Process new row (96 calls)
% 0.21/0.51 ; 0.003 7% Resolution (68 calls)
% 0.21/0.51 ; 0.000 0% Paramodulation (34 calls)
% 0.21/0.51 ; 0.000 0% Factoring (2 calls)
% 0.21/0.51 ; 0.000 0% Condensing (54 calls)
% 0.21/0.51 ; 0.002 5% Forward subsumption (54 calls)
% 0.21/0.51 ; 0.001 2% Backward subsumption (54 calls)
% 0.21/0.51 ; 0.000 0% Clause clause subsumption (37 calls)
% 0.21/0.51 ; 0.000 0% Forward simplification (96 calls)
% 0.21/0.51 ; 0.000 0% Backward simplification (79 calls)
% 0.21/0.51 ; 0.000 0% Ordering (60 calls)
% 0.21/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.51 ; 0.000 0% Purity testing (1 call)
% 0.21/0.51 ; 0.025 60% Other
% 0.21/0.51 ; 0.042 Total
% 0.21/0.51 ; 0.044 Real time
% 0.21/0.51 ;
% 0.21/0.51 ; Term-hash-array has 150 terms in all.
% 0.21/0.51 ; Feature-vector-row-index has 54 entries (54 at peak, 54 added, 0 deleted).
% 0.21/0.51 ; Feature-vector-row-index has 141 nodes (141 at peak, 141 added, 0 deleted).
% 0.21/0.51 ; Retrieved 28 possibly forward subsuming rows in 54 calls.
% 0.21/0.51 ; Retrieved 9 possibly backward subsumed rows in 54 calls.
% 0.21/0.51 ; Path-index has 150 entries (151 at peak, 151 added, 1 deleted).
% 0.21/0.51 ; Path-index has 377 nodes (377 at peak, 377 added, 0 deleted).
% 0.21/0.51 ; Trie-index has 150 entries (151 at peak, 151 added, 1 deleted).
% 0.21/0.51 ; Trie-index has 352 nodes (353 at peak, 353 added, 1 deleted).
% 0.21/0.51 ; Retrieved 18 generalization terms in 121 calls.
% 0.21/0.51 ; Retrieved 29 instance terms in 24 calls.
% 0.21/0.51 ; Retrieved 2,220 unifiable terms in 192 calls.
% 0.21/0.51 ;
% 0.21/0.51 ; The agenda of rows to process has 13 entries:
% 0.21/0.51 ; 1 with value 9 5 with value 11 4 with value 12
% 0.21/0.51 ; 3 with value 10
% 0.21/0.51 ; The agenda of rows to give has 43 entries:
% 0.21/0.51 ; 1 with value (4 7) 1 with value (4 15) 2 with value (4 22)
% 0.21/0.51 ; 9 with value (4 8) 4 with value (4 16) 2 with value (4 23)
% 0.21/0.51 ; 1 with value (4 10) 3 with value (4 18) 1 with value (4 24)
% 0.21/0.51 ; 4 with value (4 11) 1 with value (4 19) 1 with value (4 26)
% 0.21/0.51 ; 2 with value (4 12) 3 with value (4 20) 1 with value (4 27)
% 0.21/0.51 ; 2 with value (4 13) 2 with value (4 21) 2 with value (4 30)
% 0.21/0.51 ; 1 with value (4 14)
% 0.21/0.51 Evaluation took:
% 0.21/0.51 0.044 seconds of real time
% 0.21/0.51 0.040033 seconds of user run time
% 0.21/0.51 0.004069 seconds of system run time
% 0.21/0.51 0 calls to %EVAL
% 0.21/0.51 0 page faults and
% 0.21/0.51 2,534,032 bytes consed.
% 0.21/0.51 :PROOF-FOUND
% 0.21/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T03:24:27
% 0.21/0.51 :PROOF-FOUND
% 0.21/0.51 *
%------------------------------------------------------------------------------