TSTP Solution File: SEU125+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU125+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 0.11s 0.40s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 2 nHn; 11 RR)
% Number of literals : 19 ( 1 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != set_union2(Y,Z)
| ~ in(U,X)
| in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(7,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(8,axiom,
( subset(X,Y)
| in('SKOLEMAAAO2'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(9,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAO2'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(20,negated_conjecture,
subset('SKOLEMAAAO5','SKOLEMAAAO6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
cnf(21,negated_conjecture,
subset('SKOLEMAAAO7','SKOLEMAAAO6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
cnf(22,negated_conjecture,
~ subset(set_union2('SKOLEMAAAO5','SKOLEMAAAO7'),'SKOLEMAAAO6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
cnf(26,plain,
in('SKOLEMAAAO2'(set_union2('SKOLEMAAAO5','SKOLEMAAAO7'),'SKOLEMAAAO6'),set_union2('SKOLEMAAAO5','SKOLEMAAAO7')),
inference('HYPERRESOLVE',[status(thm)],[22,8]) ).
cnf(27,plain,
~ in('SKOLEMAAAO2'(set_union2('SKOLEMAAAO5','SKOLEMAAAO7'),'SKOLEMAAAO6'),'SKOLEMAAAO6'),
inference('UR-RESOLVE',[status(thm)],[9,22]) ).
cnf(52,plain,
~ in('SKOLEMAAAO2'(set_union2('SKOLEMAAAO5','SKOLEMAAAO7'),'SKOLEMAAAO6'),'SKOLEMAAAO5'),
inference('UR-RESOLVE',[status(thm)],[7,27,20]) ).
cnf(53,plain,
~ in('SKOLEMAAAO2'(set_union2('SKOLEMAAAO5','SKOLEMAAAO7'),'SKOLEMAAAO6'),'SKOLEMAAAO7'),
inference('UR-RESOLVE',[status(thm)],[7,27,21]) ).
cnf(57,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[2,53,52,theory(equality)]),26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : SEU125+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.08 % Command : run-snark %s %d
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Sun Jun 19 19:21:18 EDT 2022
% 0.11/0.27 % CPUTime :
% 0.11/0.35 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 *
% 0.11/0.35 *
% 0.11/0.36 #<PACKAGE "SNARK-USER">
% 0.11/0.36 *
% 0.11/0.36 SNARK-TPTP-OPTIONS
% 0.11/0.36 *
% 0.11/0.36 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.36 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.36 (USE-FACTORING :POS)
% 0.11/0.36 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.36 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.36 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.36 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.36 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.36 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.36 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.36 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.36 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.36 (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.36 *
% 0.11/0.36 "."
% 0.11/0.36 *
% 0.11/0.36 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T19:21:18
% 0.11/0.36 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-19T19:21:18
% 0.11/0.37
% 0.11/0.37 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.11/0.37 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.11/0.40 ; Declaring set_union2 to be commutative.
% 0.11/0.40
% 0.11/0.40 #||
% 0.11/0.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.40 % SZS output start Refutation
% See solution above
% 0.11/0.40 ||#
% 0.11/0.40
% 0.11/0.40 ; Summary of computation:
% 0.11/0.40 ; 255 formulas have been input or derived (from 31 formulas).
% 0.11/0.40 ; 57 (22%) were retained. Of these,
% 0.11/0.40 ; 1 ( 2%) were simplified or subsumed later,
% 0.11/0.40 ; 56 (98%) are still being kept.
% 0.11/0.40 ;
% 0.11/0.40 ; Run time in seconds excluding printing time:
% 0.11/0.40 ; 0.002 5% Read assertion file (1 call)
% 0.11/0.40 ; 0.001 2% Assert (18 calls)
% 0.11/0.40 ; 0.001 2% Process new row (192 calls)
% 0.11/0.40 ; 0.005 12% Resolution (60 calls)
% 0.11/0.40 ; 0.001 2% Paramodulation (30 calls)
% 0.11/0.40 ; 0.000 0% Factoring (2 calls)
% 0.11/0.40 ; 0.006 14% Condensing (94 calls)
% 0.11/0.40 ; 0.001 2% Forward subsumption (94 calls)
% 0.11/0.40 ; 0.000 0% Backward subsumption (35 calls)
% 0.11/0.40 ; 0.004 9% Clause clause subsumption (203 calls)
% 0.11/0.40 ; 0.004 9% Forward simplification (191 calls)
% 0.11/0.40 ; 0.001 2% Backward simplification (57 calls)
% 0.11/0.40 ; 0.001 2% Ordering (508 calls)
% 0.11/0.40 ; 0.001 2% Sortal reasoning (32 calls)
% 0.11/0.40 ; 0.000 0% Purity testing (1 call)
% 0.11/0.40 ; 0.015 35% Other
% 0.11/0.40 ; 0.043 Total
% 0.11/0.40 ; 0.045 Real time
% 0.11/0.40 ;
% 0.11/0.40 ; Term-hash-array has 134 terms in all.
% 0.11/0.40 ; Feature-vector-row-index has 35 entries (35 at peak, 35 added, 0 deleted).
% 0.11/0.40 ; Feature-vector-row-index has 87 nodes (87 at peak, 87 added, 0 deleted).
% 0.11/0.40 ; Retrieved 338 possibly forward subsuming rows in 94 calls.
% 0.11/0.40 ; Retrieved 29 possibly backward subsumed rows in 35 calls.
% 0.11/0.40 ; Path-index has 139 entries (139 at peak, 140 added, 1 deleted).
% 0.11/0.40 ; Path-index has 134 nodes (134 at peak, 135 added, 1 deleted).
% 0.11/0.40 ; Trie-index has 139 entries (139 at peak, 140 added, 1 deleted).
% 0.11/0.40 ; Trie-index has 225 nodes (225 at peak, 226 added, 1 deleted).
% 0.11/0.40 ; Retrieved 329 generalization terms in 549 calls.
% 0.11/0.40 ; Retrieved 24 instance terms in 21 calls.
% 0.11/0.40 ; Retrieved 3,368 unifiable terms in 367 calls.
% 0.11/0.40 ;
% 0.11/0.40 ; The agenda of rows to process has 22 entries:
% 0.11/0.40 ; 6 with value 15 8 with value 17 8 with value 19
% 0.11/0.40 ; The agenda of rows to give has 26 entries:
% 0.11/0.40 ; 2 with value (4 13) 1 with value (4 24) 3 with value (4 39)
% 0.11/0.40 ; 3 with value (4 15) 6 with value (4 32) 1 with value (4 54)
% 0.11/0.40 ; 2 with value (4 16) 3 with value (4 34) 2 with value (4 55)
% 0.11/0.40 ; 3 with value (4 21)
% 0.11/0.40 Evaluation took:
% 0.11/0.40 0.045 seconds of real time
% 0.11/0.40 0.037549 seconds of user run time
% 0.11/0.40 0.007111 seconds of system run time
% 0.11/0.40 0 calls to %EVAL
% 0.11/0.40 0 page faults and
% 0.11/0.40 3,885,216 bytes consed.
% 0.11/0.40 :PROOF-FOUND
% 0.11/0.40 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T19:21:18
% 0.11/0.40 :PROOF-FOUND
% 0.11/0.40 *
%------------------------------------------------------------------------------