TSTP Solution File: SEU126+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU126+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 14:19:17 EDT 2022
% Result : Theorem 0.38s 0.55s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 15 ( 3 equ; 6 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( X = set_union2(Y,Z)
| ~ in('SKOLEMAAAU1'(X,Y,Z),X)
| ~ in('SKOLEMAAAU1'(X,Y,Z),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(8,axiom,
( X = set_union2(Y,Z)
| in('SKOLEMAAAU1'(X,Y,Z),X)
| in('SKOLEMAAAU1'(X,Y,Z),Y)
| in('SKOLEMAAAU1'(X,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(9,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(18,negated_conjecture,
subset('SKOLEMAAAU5','SKOLEMAAAU6'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
cnf(19,negated_conjecture,
set_union2('SKOLEMAAAU5','SKOLEMAAAU6') != 'SKOLEMAAAU6',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
cnf(30,plain,
~ in('SKOLEMAAAU1'('SKOLEMAAAU6','SKOLEMAAAU6','SKOLEMAAAU5'),'SKOLEMAAAU6'),
inference('UR-RESOLVE',[status(thm)],[6,19]) ).
cnf(53,plain,
in('SKOLEMAAAU1'('SKOLEMAAAU6','SKOLEMAAAU6','SKOLEMAAAU5'),'SKOLEMAAAU5'),
inference('UR-RESOLVE',[status(thm)],[8,30,19,30]) ).
cnf(54,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,30,18]),53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU126+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jun 19 22:57:40 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T22:57:40
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-19T22:57:40
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.38/0.55 ; Declaring set_union2 to be commutative.
% 0.38/0.55
% 0.38/0.55 #||
% 0.38/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.55 % SZS output start Refutation
% See solution above
% 0.38/0.55 ||#
% 0.38/0.55
% 0.38/0.55 ; Summary of computation:
% 0.38/0.55 ; 222 formulas have been input or derived (from 29 formulas).
% 0.38/0.55 ; 54 (24%) were retained. Of these,
% 0.38/0.55 ; 1 ( 2%) were simplified or subsumed later,
% 0.38/0.55 ; 53 (98%) are still being kept.
% 0.38/0.55 ;
% 0.38/0.55 ; Run time in seconds excluding printing time:
% 0.38/0.55 ; 0.003 5% Read assertion file (1 call)
% 0.38/0.55 ; 0.002 3% Assert (19 calls)
% 0.38/0.55 ; 0.007 11% Process new row (167 calls)
% 0.38/0.55 ; 0.009 15% Resolution (56 calls)
% 0.38/0.55 ; 0.000 0% Paramodulation (28 calls)
% 0.38/0.55 ; 0.000 0% Factoring (2 calls)
% 0.38/0.55 ; 0.005 8% Condensing (97 calls)
% 0.38/0.55 ; 0.002 3% Forward subsumption (97 calls)
% 0.38/0.55 ; 0.001 2% Backward subsumption (37 calls)
% 0.38/0.55 ; 0.004 7% Clause clause subsumption (188 calls)
% 0.38/0.55 ; 0.003 5% Forward simplification (166 calls)
% 0.38/0.55 ; 0.000 0% Backward simplification (54 calls)
% 0.38/0.55 ; 0.001 2% Ordering (456 calls)
% 0.38/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.55 ; 0.000 0% Purity testing (1 call)
% 0.38/0.55 ; 0.024 39% Other
% 0.38/0.55 ; 0.061 Total
% 0.38/0.55 ; 0.063 Real time
% 0.38/0.55 ;
% 0.38/0.55 ; Term-hash-array has 120 terms in all.
% 0.38/0.55 ; Feature-vector-row-index has 37 entries (37 at peak, 37 added, 0 deleted).
% 0.38/0.55 ; Feature-vector-row-index has 98 nodes (98 at peak, 98 added, 0 deleted).
% 0.38/0.55 ; Retrieved 318 possibly forward subsuming rows in 97 calls.
% 0.38/0.55 ; Retrieved 23 possibly backward subsumed rows in 37 calls.
% 0.38/0.55 ; Path-index has 124 entries (124 at peak, 125 added, 1 deleted).
% 0.38/0.55 ; Path-index has 116 nodes (116 at peak, 117 added, 1 deleted).
% 0.38/0.55 ; Trie-index has 124 entries (124 at peak, 125 added, 1 deleted).
% 0.38/0.55 ; Trie-index has 188 nodes (188 at peak, 189 added, 1 deleted).
% 0.38/0.55 ; Retrieved 204 generalization terms in 517 calls.
% 0.38/0.55 ; Retrieved 20 instance terms in 16 calls.
% 0.38/0.55 ; Retrieved 3,020 unifiable terms in 319 calls.
% 0.38/0.55 ;
% 0.38/0.55 ; The agenda of rows to process has 15 entries:
% 0.38/0.55 ; 1 with value 10 4 with value 12 5 with value 17
% 0.38/0.55 ; 1 with value 11 4 with value 15
% 0.38/0.55 ; The agenda of rows to give has 25 entries:
% 0.38/0.55 ; 1 with value (4 9) 1 with value (4 14) 3 with value (4 32)
% 0.38/0.55 ; 1 with value (4 10) 2 with value (4 16) 3 with value (4 34)
% 0.38/0.55 ; 1 with value (4 11) 1 with value (4 19) 3 with value (4 39)
% 0.38/0.55 ; 1 with value (4 12) 3 with value (4 21) 1 with value (4 54)
% 0.38/0.55 ; 1 with value (4 13) 1 with value (4 24) 2 with value (4 55)
% 0.38/0.55 Evaluation took:
% 0.38/0.55 0.063 seconds of real time
% 0.38/0.55 0.054913 seconds of user run time
% 0.38/0.55 0.00885 seconds of system run time
% 0.38/0.55 0 calls to %EVAL
% 0.38/0.55 0 page faults and
% 0.38/0.55 3,553,984 bytes consed.
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T22:57:40
% 0.38/0.55 :PROOF-FOUND
% 0.38/0.55 *
%------------------------------------------------------------------------------