TSTP Solution File: SEU128+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU128+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 14:19:19 EDT 2022
% Result : Theorem 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 1 nHn; 11 RR)
% Number of literals : 19 ( 1 equ; 8 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,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(3,axiom,
( subset(X,Y)
| in('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(4,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(6,axiom,
( X != set_intersection2(Y,Z)
| in(U,X)
| ~ in(U,Y)
| ~ in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
cnf(15,negated_conjecture,
subset('SKOLEMAAAV5','SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
cnf(16,negated_conjecture,
subset('SKOLEMAAAV5','SKOLEMAAAV7'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
cnf(17,negated_conjecture,
~ subset('SKOLEMAAAV5',set_intersection2('SKOLEMAAAV6','SKOLEMAAAV7')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
cnf(24,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV5',set_intersection2('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[17,3]) ).
cnf(25,plain,
~ in('SKOLEMAAAV1'('SKOLEMAAAV5',set_intersection2('SKOLEMAAAV6','SKOLEMAAAV7')),set_intersection2('SKOLEMAAAV6','SKOLEMAAAV7')),
inference('UR-RESOLVE',[status(thm)],[4,17]) ).
cnf(57,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV5',set_intersection2('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[2,24,15]) ).
cnf(58,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV5',set_intersection2('SKOLEMAAAV6','SKOLEMAAAV7')),'SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[2,24,16]) ).
cnf(90,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,58,57,theory(equality)]),25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU128+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.35 % Computer : n010.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 600
% 0.12/0.35 % DateTime : Sun Jun 19 21:51:22 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-19T21:51:22
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-19T21:51:22
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.57 ; Declaring set_intersection2 to be commutative.
% 0.20/0.57
% 0.20/0.57 #||
% 0.20/0.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.57 % SZS output start Refutation
% See solution above
% 0.20/0.57 ||#
% 0.20/0.57
% 0.20/0.57 ; Summary of computation:
% 0.20/0.57 ; 567 formulas have been input or derived (from 42 formulas).
% 0.20/0.57 ; 90 (16%) were retained. Of these,
% 0.20/0.57 ; 2 ( 2%) were simplified or subsumed later,
% 0.20/0.57 ; 88 (98%) are still being kept.
% 0.20/0.57 ;
% 0.20/0.57 ; Run time in seconds excluding printing time:
% 0.20/0.57 ; 0.003 4% Read assertion file (1 call)
% 0.20/0.57 ; 0.001 1% Assert (16 calls)
% 0.20/0.57 ; 0.010 12% Process new row (410 calls)
% 0.20/0.57 ; 0.020 24% Resolution (82 calls)
% 0.20/0.57 ; 0.002 2% Paramodulation (41 calls)
% 0.20/0.57 ; 0.000 0% Factoring (3 calls)
% 0.20/0.57 ; 0.006 7% Condensing (190 calls)
% 0.20/0.57 ; 0.005 6% Forward subsumption (190 calls)
% 0.20/0.57 ; 0.001 1% Backward subsumption (44 calls)
% 0.20/0.57 ; 0.005 6% Clause clause subsumption (369 calls)
% 0.20/0.57 ; 0.009 11% Forward simplification (409 calls)
% 0.20/0.57 ; 0.001 1% Backward simplification (90 calls)
% 0.20/0.57 ; 0.001 1% Ordering (659 calls)
% 0.20/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.57 ; 0.000 0% Purity testing (1 call)
% 0.20/0.57 ; 0.021 25% Other
% 0.20/0.57 ; 0.085 Total
% 0.20/0.57 ; 0.087 Real time
% 0.20/0.57 ;
% 0.20/0.57 ; Term-hash-array has 142 terms in all.
% 0.20/0.57 ; Feature-vector-row-index has 43 entries (43 at peak, 44 added, 1 deleted).
% 0.20/0.57 ; Feature-vector-row-index has 120 nodes (120 at peak, 121 added, 1 deleted).
% 0.20/0.57 ; Retrieved 674 possibly forward subsuming rows in 190 calls.
% 0.20/0.57 ; Retrieved 63 possibly backward subsumed rows in 44 calls.
% 0.20/0.57 ; Path-index has 146 entries (146 at peak, 148 added, 2 deleted).
% 0.20/0.57 ; Path-index has 149 nodes (149 at peak, 150 added, 1 deleted).
% 0.20/0.57 ; Trie-index has 146 entries (146 at peak, 148 added, 2 deleted).
% 0.20/0.57 ; Trie-index has 258 nodes (258 at peak, 259 added, 1 deleted).
% 0.20/0.57 ; Retrieved 640 generalization terms in 1,013 calls.
% 0.20/0.57 ; Retrieved 47 instance terms in 45 calls.
% 0.20/0.57 ; Retrieved 5,832 unifiable terms in 707 calls.
% 0.20/0.57 ;
% 0.20/0.57 ; The agenda of rows to process has 23 entries:
% 0.20/0.57 ; 10 with value 15 12 with value 19 1 with value 20
% 0.20/0.57 ; The agenda of rows to give has 47 entries:
% 0.20/0.57 ; 6 with value (4 12) 1 with value (4 18) 1 with value (4 26)
% 0.20/0.57 ; 8 with value (4 13) 3 with value (4 19) 4 with value (4 31)
% 0.20/0.57 ; 3 with value (4 14) 1 with value (4 20) 2 with value (4 32)
% 0.20/0.57 ; 3 with value (4 15) 1 with value (4 21) 2 with value (4 33)
% 0.20/0.57 ; 4 with value (4 16) 8 with value (4 24)
% 0.20/0.57 Evaluation took:
% 0.20/0.57 0.087 seconds of real time
% 0.20/0.57 0.074286 seconds of user run time
% 0.20/0.57 0.012808 seconds of system run time
% 0.20/0.57 0 calls to %EVAL
% 0.20/0.57 0 page faults and
% 0.20/0.57 4,741,176 bytes consed.
% 0.20/0.57 :PROOF-FOUND
% 0.20/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T21:51:22
% 0.20/0.57 :PROOF-FOUND
% 0.20/0.57 *
%------------------------------------------------------------------------------