TSTP Solution File: SEU147+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU147+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 14:19:29 EDT 2022
% Result : Theorem 0.93s 1.16s
% Output : Refutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 5 unt; 3 nHn; 7 RR)
% Number of literals : 25 ( 14 equ; 8 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != singleton(Y)
| ~ in(Z,X)
| Z = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(3,axiom,
( X != singleton(Y)
| in(Z,X)
| Z != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(8,axiom,
( X = powerset(Y)
| ~ in('SKOLEMAAAV2'(X,Y),X)
| ~ subset('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
cnf(9,axiom,
( X = powerset(Y)
| in('SKOLEMAAAV2'(X,Y),X)
| subset('SKOLEMAAAV2'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_zfmisc_1) ).
cnf(13,axiom,
subset(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(14,negated_conjecture,
powerset(empty_set) != singleton(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_zfmisc_1) ).
cnf(17,axiom,
( ~ subset(X,empty_set)
| X = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
cnf(20,plain,
in(X,singleton(X)),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(28,plain,
( X = powerset(empty_set)
| in('SKOLEMAAAV2'(X,empty_set),X)
| 'SKOLEMAAAV2'(X,empty_set) = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[17,9]) ).
cnf(477,plain,
( singleton(X) = powerset(empty_set)
| 'SKOLEMAAAV2'(singleton(X),empty_set) = empty_set
| 'SKOLEMAAAV2'(singleton(X),empty_set) = X ),
inference('HYPERRESOLVE',[status(thm)],[2,28,theory(equality)]) ).
cnf(1811,plain,
'SKOLEMAAAV2'(singleton(empty_set),empty_set) = empty_set,
inference('UR-RESOLVE',[status(thm)],[477,14]) ).
cnf(1862,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,1811,theory(equality)]),13,20,14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU147+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 20 02:16:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T02:16:18
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-20T02:16:18
% 0.93/1.16
% 0.93/1.16
% 0.93/1.16 #||
% 0.93/1.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.93/1.16 % SZS output start Refutation
% See solution above
% 0.93/1.16 ||#
% 0.93/1.16
% 0.93/1.16 ; Summary of computation:
% 0.93/1.16 ; 3399 formulas have been input or derived (from 729 formulas).
% 0.93/1.16 ; 1862 (55%) were retained. Of these,
% 0.93/1.16 ; 1862 (100%) are still being kept.
% 0.93/1.16 ;
% 0.93/1.16 ; Run time in seconds excluding printing time:
% 0.93/1.16 ; 0.002 0% Read assertion file (1 call)
% 0.93/1.16 ; 0.001 0% Assert (13 calls)
% 0.93/1.16 ; 0.129 19% Process new row (3,359 calls)
% 0.93/1.16 ; 0.258 38% Resolution (1,456 calls)
% 0.93/1.16 ; 0.078 12% Paramodulation (728 calls)
% 0.93/1.16 ; 0.000 0% Factoring (15 calls)
% 0.93/1.16 ; 0.003 0% Condensing (191 calls)
% 0.93/1.16 ; 0.006 1% Forward subsumption (191 calls)
% 0.93/1.16 ; 0.001 0% Backward subsumption (160 calls)
% 0.93/1.17 ; 0.007 1% Clause clause subsumption (1,007 calls)
% 0.93/1.17 ; 0.088 13% Forward simplification (3,359 calls)
% 0.93/1.17 ; 0.011 2% Backward simplification (1,862 calls)
% 0.93/1.17 ; 0.047 7% Ordering (33,911 calls)
% 0.93/1.17 ; 0.000 0% Sortal reasoning (32 calls)
% 0.93/1.17 ; 0.000 0% Purity testing (1 call)
% 0.93/1.17 ; 0.045 7% Other
% 0.93/1.17 ; 0.676 Total
% 0.93/1.17 ; 0.677 Real time
% 0.93/1.17 ;
% 0.93/1.17 ; Term-hash-array has 2,430 terms in all.
% 0.93/1.17 ; Feature-vector-row-index has 160 entries (160 at peak, 160 added, 0 deleted).
% 0.93/1.17 ; Feature-vector-row-index has 867 nodes (867 at peak, 867 added, 0 deleted).
% 0.93/1.17 ; Retrieved 1,006 possibly forward subsuming rows in 191 calls.
% 0.93/1.17 ; Retrieved 105 possibly backward subsumed rows in 160 calls.
% 0.93/1.17 ; Path-index has 2,433 entries (2,433 at peak, 2,433 added, 0 deleted).
% 0.93/1.17 ; Path-index has 1,956 nodes (1,956 at peak, 1,956 added, 0 deleted).
% 0.93/1.17 ; Trie-index has 2,433 entries (2,433 at peak, 2,433 added, 0 deleted).
% 0.93/1.17 ; Trie-index has 8,596 nodes (8,596 at peak, 8,596 added, 0 deleted).
% 0.93/1.17 ; Retrieved 17,277 generalization terms in 4,157 calls.
% 0.93/1.17 ; Retrieved 2,059 instance terms in 1,701 calls.
% 0.93/1.17 ; Retrieved 219,982 unifiable terms in 23,339 calls.
% 0.93/1.17 ;
% 0.93/1.17 ; The agenda of rows to process has 10 entries:
% 0.93/1.17 ; 1 with value 21 1 with value 32 1 with value 48
% 0.93/1.17 ; 1 with value 23 1 with value 36 2 with value 50
% 0.93/1.17 ; 1 with value 30 2 with value 38
% 0.93/1.17 ; The agenda of rows to give has 1133 entries:
% 0.93/1.17 ; 1 with value (4 23) 3 with value (4 44) 4 with value (4 57)
% 0.93/1.17 ; 1 with value (4 25) 5 with value (4 45) 4 with value (4 58)
% 0.93/1.17 ; 388 with value (4 27) 1 with value (4 46) 2 with value (4 59)
% 0.93/1.17 ; 372 with value (4 28) 8 with value (4 47) 4 with value (4 60)
% 0.93/1.17 ; 168 with value (4 29) 1 with value (4 48) 8 with value (4 61)
% 0.93/1.17 ; 87 with value (4 30) 3 with value (4 49) 10 with value (4 62)
% 0.93/1.17 ; 2 with value (4 31) 3 with value (4 50) 8 with value (4 63)
% 0.93/1.17 ; 2 with value (4 33) 5 with value (4 51) 8 with value (4 64)
% 0.93/1.17 ; 2 with value (4 34) 5 with value (4 52) 18 with value (4 65)
% 0.93/1.17 ; 2 with value (4 43) 8 with value (4 53)
% 0.93/1.17 Evaluation took:
% 0.93/1.17 0.678 seconds of real time
% 0.93/1.17 0.599094 seconds of user run time
% 0.93/1.17 0.079184 seconds of system run time
% 0.93/1.17 [Run times include 0.029 seconds GC run time.]
% 0.93/1.17 0 calls to %EVAL
% 0.93/1.17 0 page faults and
% 0.93/1.17 49,508,424 bytes consed.
% 0.93/1.17 :PROOF-FOUND
% 0.93/1.17 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T02:16:18
% 0.93/1.17 :PROOF-FOUND
% 0.93/1.17 *
%------------------------------------------------------------------------------