TSTP Solution File: SET645+3 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET645+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 05:11:14 EDT 2022
% Result : Theorem 0.39s 0.61s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 25 ( 11 unt; 2 nHn; 24 RR)
% Number of literals : 60 ( 0 equ; 37 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 39 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,set_type)
| ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(2,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,set_type)
| ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(10,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| ilf_type(Z,subset_type(cross_product(X,Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4) ).
cnf(16,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Y,subset_type(X))
| ilf_type(Y,member_type(power_set(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10) ).
cnf(23,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ member(X,power_set(Y))
| ~ ilf_type(Z,set_type)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p13) ).
cnf(27,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14) ).
cnf(29,axiom,
( ~ ilf_type(X,set_type)
| empty(Y)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(X,member_type(Y))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15) ).
cnf(43,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p21) ).
cnf(44,negated_conjecture,
ilf_type('SKOLEMAAAV14',relation_type('SKOLEMAAAV10','SKOLEMAAAV11')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_7) ).
cnf(45,negated_conjecture,
member(ordered_pair('SKOLEMAAAV12','SKOLEMAAAV13'),'SKOLEMAAAV14'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_7) ).
cnf(46,negated_conjecture,
( ~ member('SKOLEMAAAV12','SKOLEMAAAV10')
| ~ member('SKOLEMAAAV13','SKOLEMAAAV11') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_7) ).
cnf(47,plain,
( ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(X,Z) ),
inference('REWRITE',[status(thm)],[1,43]) ).
cnf(48,plain,
( ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(Y,U) ),
inference('REWRITE',[status(thm)],[2,43]) ).
cnf(53,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ilf_type(X,subset_type(cross_product(Y,Z))) ),
inference('REWRITE',[status(thm)],[10,43]) ).
cnf(56,plain,
( ~ ilf_type(X,subset_type(Y))
| ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[16,43]) ).
cnf(62,plain,
( ~ member(X,power_set(Y))
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[23,43]) ).
cnf(65,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[27,43]) ).
cnf(66,plain,
( empty(X)
| ~ ilf_type(Y,member_type(X))
| member(Y,X) ),
inference('REWRITE',[status(thm)],[29,43]) ).
cnf(101,plain,
ilf_type('SKOLEMAAAV14',subset_type(cross_product('SKOLEMAAAV10','SKOLEMAAAV11'))),
inference('HYPERRESOLVE',[status(thm)],[53,44]) ).
cnf(302,plain,
ilf_type('SKOLEMAAAV14',member_type(power_set(cross_product('SKOLEMAAAV10','SKOLEMAAAV11')))),
inference('HYPERRESOLVE',[status(thm)],[56,101]) ).
cnf(357,plain,
member('SKOLEMAAAV14',power_set(cross_product('SKOLEMAAAV10','SKOLEMAAAV11'))),
inference('UR-RESOLVE',[status(thm)],[66,302,65]) ).
cnf(360,plain,
member(ordered_pair('SKOLEMAAAV12','SKOLEMAAAV13'),cross_product('SKOLEMAAAV10','SKOLEMAAAV11')),
inference('HYPERRESOLVE',[status(thm)],[62,357,45]) ).
cnf(463,plain,
member('SKOLEMAAAV13','SKOLEMAAAV11'),
inference('HYPERRESOLVE',[status(thm)],[48,360]) ).
cnf(464,plain,
~ member('SKOLEMAAAV12','SKOLEMAAAV10'),
inference('REWRITE',[status(thm)],[46,463]) ).
cnf(465,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[47,360]),464]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET645+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 19:00:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T19:00:56
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-09T19:00:56
% 0.39/0.61
% 0.39/0.61
% 0.39/0.61 #||
% 0.39/0.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.61 % SZS output start Refutation
% See solution above
% 0.39/0.61 ||#
% 0.39/0.61
% 0.39/0.61 ; Summary of computation:
% 0.39/0.61 ; 863 formulas have been input or derived (from 68 formulas).
% 0.39/0.61 ; 465 (54%) were retained. Of these,
% 0.39/0.61 ; 45 (10%) were simplified or subsumed later,
% 0.39/0.61 ; 420 (90%) are still being kept.
% 0.39/0.61 ;
% 0.39/0.61 ; Run time in seconds excluding printing time:
% 0.39/0.61 ; 0.007 5% Read assertion file (1 call)
% 0.39/0.61 ; 0.003 2% Assert (22 calls)
% 0.39/0.61 ; 0.042 28% Process new row (734 calls)
% 0.39/0.61 ; 0.018 12% Resolution (134 calls)
% 0.39/0.61 ; 0.002 1% Paramodulation (67 calls)
% 0.39/0.61 ; 0.000 0% Factoring (7 calls)
% 0.39/0.61 ; 0.007 5% Condensing (351 calls)
% 0.39/0.61 ; 0.015 10% Forward subsumption (351 calls)
% 0.39/0.61 ; 0.003 2% Backward subsumption (307 calls)
% 0.39/0.61 ; 0.005 3% Clause clause subsumption (711 calls)
% 0.39/0.61 ; 0.010 7% Forward simplification (734 calls)
% 0.39/0.61 ; 0.006 4% Backward simplification (463 calls)
% 0.39/0.61 ; 0.005 3% Ordering (961 calls)
% 0.39/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.61 ; 0.000 0% Purity testing (1 call)
% 0.39/0.61 ; 0.027 18% Other
% 0.39/0.61 ; 0.150 Total
% 0.39/0.61 ; 0.152 Real time
% 0.39/0.61 ;
% 0.39/0.61 ; Term-hash-array has 1,020 terms in all.
% 0.39/0.61 ; Feature-vector-row-index has 264 entries (265 at peak, 307 added, 43 deleted).
% 0.39/0.61 ; Feature-vector-row-index has 1,026 nodes (1,032 at peak, 1,233 added, 207 deleted).
% 0.39/0.61 ; Retrieved 583 possibly forward subsuming rows in 351 calls.
% 0.39/0.61 ; Retrieved 219 possibly backward subsumed rows in 307 calls.
% 0.39/0.61 ; Path-index has 997 entries (997 at peak, 1,077 added, 80 deleted).
% 0.39/0.61 ; Path-index has 2,472 nodes (2,472 at peak, 2,560 added, 88 deleted).
% 0.39/0.61 ; Trie-index has 997 entries (997 at peak, 1,077 added, 80 deleted).
% 0.39/0.61 ; Trie-index has 3,880 nodes (3,880 at peak, 4,067 added, 187 deleted).
% 0.39/0.61 ; Retrieved 462 generalization terms in 1,453 calls.
% 0.39/0.61 ; Retrieved 184 instance terms in 155 calls.
% 0.39/0.61 ; Retrieved 15,162 unifiable terms in 737 calls.
% 0.39/0.61 ;
% 0.39/0.61 ; The agenda of rows to process has 64 entries:
% 0.39/0.61 ; 2 with value 9 12 with value 20 22 with value 23
% 0.39/0.61 ; 1 with value 11 8 with value 21 2 with value 27
% 0.39/0.61 ; 1 with value 14 11 with value 22 4 with value 32
% 0.39/0.61 ; 1 with value 17
% 0.39/0.61 ; The agenda of input rows to give has 1 entry:
% 0.39/0.61 ; 1 with value 4
% 0.39/0.61 ; The agenda of rows to give has 353 entries:
% 0.39/0.61 ; 1 with value (4 9) 2 with value (4 25) 1 with value (4 40)
% 0.39/0.61 ; 3 with value (4 14) 16 with value (4 26) 2 with value (4 41)
% 0.39/0.61 ; 9 with value (4 15) 9 with value (4 27) 2 with value (4 42)
% 0.39/0.61 ; 16 with value (4 16) 17 with value (4 28) 2 with value (4 43)
% 0.39/0.61 ; 22 with value (4 17) 8 with value (4 29) 2 with value (4 44)
% 0.39/0.61 ; 24 with value (4 18) 9 with value (4 30) 2 with value (4 46)
% 0.39/0.61 ; 52 with value (4 19) 16 with value (4 31) 1 with value (4 47)
% 0.39/0.61 ; 27 with value (4 20) 8 with value (4 32) 1 with value (4 48)
% 0.39/0.61 ; 21 with value (4 21) 7 with value (4 35) 4 with value (4 49)
% 0.39/0.61 ; 33 with value (4 22) 4 with value (4 36) 2 with value (4 51)
% 0.39/0.61 ; 12 with value (4 23) 5 with value (4 37) 2 with value (4 60)
% 0.39/0.61 ; 7 with value (4 24) 2 with value (4 38) 2 with value (4 61)
% 0.39/0.61 Evaluation took:
% 0.39/0.61 0.153 seconds of real time
% 0.39/0.61 0.133462 seconds of user run time
% 0.39/0.61 0.019063 seconds of system run time
% 0.39/0.61 0 calls to %EVAL
% 0.39/0.61 0 page faults and
% 0.39/0.61 10,623,704 bytes consed.
% 0.39/0.61 :PROOF-FOUND
% 0.39/0.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T19:00:56
% 0.39/0.61 :PROOF-FOUND
% 0.39/0.61 *
%------------------------------------------------------------------------------