TSTP Solution File: SET942+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET942+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 05:13:35 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 8 unt; 1 nHn; 13 RR)
% Number of literals : 25 ( 3 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(3,axiom,
( subset(X,Y)
| in('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(4,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(5,axiom,
( X != union(Y)
| ~ in(Z,X)
| in(Z,'SKOLEMAAAV2'(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(6,axiom,
( X != union(Y)
| ~ in(Z,X)
| in('SKOLEMAAAV2'(Z,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(7,axiom,
( X != union(Y)
| in(Z,X)
| ~ in(Z,U)
| ~ in(U,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tarski) ).
cnf(14,negated_conjecture,
subset('SKOLEMAAAV7','SKOLEMAAAV8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t95_zfmisc_1) ).
cnf(15,negated_conjecture,
~ subset(union('SKOLEMAAAV7'),union('SKOLEMAAAV8')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t95_zfmisc_1) ).
cnf(16,plain,
in('SKOLEMAAAV1'(union('SKOLEMAAAV7'),union('SKOLEMAAAV8')),union('SKOLEMAAAV7')),
inference('HYPERRESOLVE',[status(thm)],[15,3]) ).
cnf(17,plain,
~ in('SKOLEMAAAV1'(union('SKOLEMAAAV7'),union('SKOLEMAAAV8')),union('SKOLEMAAAV8')),
inference('UR-RESOLVE',[status(thm)],[4,15]) ).
cnf(27,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV1'(union('SKOLEMAAAV7'),union('SKOLEMAAAV8')),'SKOLEMAAAV7'),'SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[6,16,theory(equality)]) ).
cnf(28,plain,
in('SKOLEMAAAV1'(union('SKOLEMAAAV7'),union('SKOLEMAAAV8')),'SKOLEMAAAV2'('SKOLEMAAAV1'(union('SKOLEMAAAV7'),union('SKOLEMAAAV8')),'SKOLEMAAAV7')),
inference('HYPERRESOLVE',[status(thm)],[5,16,theory(equality)]) ).
cnf(33,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV1'(union('SKOLEMAAAV7'),union('SKOLEMAAAV8')),'SKOLEMAAAV7'),'SKOLEMAAAV8'),
inference('HYPERRESOLVE',[status(thm)],[2,27,14]) ).
cnf(38,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,33,17,theory(equality)]),28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET942+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n016.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 20:41:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-07-10T20:41:12
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-10T20:41:12
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.52 ; 61 formulas have been input or derived (from 23 formulas).
% 0.20/0.52 ; 38 (62%) were retained. Of these,
% 0.20/0.52 ; 38 (100%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.002 6% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (7 calls)
% 0.20/0.52 ; 0.002 6% Process new row (53 calls)
% 0.20/0.52 ; 0.004 11% Resolution (44 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (22 calls)
% 0.20/0.52 ; 0.000 0% Factoring (3 calls)
% 0.20/0.52 ; 0.002 6% Condensing (25 calls)
% 0.20/0.52 ; 0.000 0% Forward subsumption (25 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (22 calls)
% 0.20/0.52 ; 0.001 3% Clause clause subsumption (23 calls)
% 0.20/0.52 ; 0.002 6% Forward simplification (53 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (38 calls)
% 0.20/0.52 ; 0.001 3% Ordering (126 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.021 58% Other
% 0.20/0.52 ; 0.036 Total
% 0.20/0.52 ; 0.039 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 96 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 22 entries (22 at peak, 22 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 134 nodes (134 at peak, 134 added, 0 deleted).
% 0.20/0.52 ; Retrieved 23 possibly forward subsuming rows in 25 calls.
% 0.20/0.52 ; Retrieved 3 possibly backward subsumed rows in 22 calls.
% 0.20/0.52 ; Path-index has 100 entries (100 at peak, 100 added, 0 deleted).
% 0.20/0.52 ; Path-index has 354 nodes (354 at peak, 354 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 100 entries (100 at peak, 100 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 304 nodes (304 at peak, 304 added, 0 deleted).
% 0.20/0.52 ; Retrieved 15 generalization terms in 60 calls.
% 0.20/0.52 ; Retrieved 16 instance terms in 15 calls.
% 0.20/0.52 ; Retrieved 1,251 unifiable terms in 274 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 2 entries:
% 0.20/0.52 ; 1 with value 24 1 with value 52
% 0.20/0.52 ; The agenda of rows to give has 15 entries:
% 0.20/0.52 ; 1 with value (4 16) 1 with value (4 23) 1 with value (4 42)
% 0.20/0.52 ; 1 with value (4 17) 1 with value (4 28) 1 with value (4 44)
% 0.20/0.52 ; 1 with value (4 19) 1 with value (4 30) 1 with value (4 46)
% 0.20/0.52 ; 1 with value (4 21) 2 with value (4 33) 1 with value (4 51)
% 0.20/0.52 ; 2 with value (4 22)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.039 seconds of real time
% 0.20/0.52 0.033733 seconds of user run time
% 0.20/0.52 0.005199 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,870,272 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T20:41:12
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------