TSTP Solution File: SET666+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET666+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 05:11:23 EDT 2022
% Result : Theorem 0.39s 0.63s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 11 unt; 4 nHn; 24 RR)
% Number of literals : 62 ( 0 equ; 39 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,subset_type(cross_product(X,Y)))
| ilf_type(Z,relation_type(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
cnf(4,axiom,
( ~ ilf_type(X,set_type)
| subset(identity_relation_of(X),cross_product(X,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
cnf(10,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ilf_type(Y,identity_relation_of_type(X))
| ~ ilf_type(Y,relation_type(X,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
cnf(18,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/sandbox2/benchmark/theBenchmark.p',p12) ).
cnf(20,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ subset(X,Y)
| ~ ilf_type(Z,set_type)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
cnf(27,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| member('SKOLEMAAAV6'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).
cnf(28,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| ~ member('SKOLEMAAAV6'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).
cnf(29,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
cnf(32,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/sandbox2/benchmark/theBenchmark.p',p18) ).
cnf(45,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
cnf(46,negated_conjecture,
~ ilf_type(identity_relation_of('SKOLEMAAAV12'),identity_relation_of_type('SKOLEMAAAV12')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_29) ).
cnf(47,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| ilf_type(X,relation_type(Y,Z)) ),
inference('REWRITE',[status(thm)],[1,45]) ).
cnf(50,plain,
subset(identity_relation_of(X),cross_product(X,X)),
inference('REWRITE',[status(thm)],[4,45]) ).
cnf(56,plain,
( ilf_type(X,identity_relation_of_type(Y))
| ~ ilf_type(X,relation_type(Y,Y)) ),
inference('REWRITE',[status(thm)],[10,45]) ).
cnf(61,plain,
( ilf_type(X,subset_type(Y))
| ~ ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[18,45]) ).
cnf(63,plain,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[20,45]) ).
cnf(68,plain,
( member(X,power_set(Y))
| member('SKOLEMAAAV6'(X,Y),X) ),
inference('REWRITE',[status(thm)],[27,45]) ).
cnf(69,plain,
( member(X,power_set(Y))
| ~ member('SKOLEMAAAV6'(X,Y),Y) ),
inference('REWRITE',[status(thm)],[28,45]) ).
cnf(70,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[29,45]) ).
cnf(72,plain,
( empty(X)
| ilf_type(Y,member_type(X))
| ~ member(Y,X) ),
inference('REWRITE',[status(thm)],[32,45]) ).
cnf(91,plain,
~ ilf_type(identity_relation_of('SKOLEMAAAV12'),relation_type('SKOLEMAAAV12','SKOLEMAAAV12')),
inference('UR-RESOLVE',[status(thm)],[56,46]) ).
cnf(126,plain,
~ ilf_type(identity_relation_of('SKOLEMAAAV12'),subset_type(cross_product('SKOLEMAAAV12','SKOLEMAAAV12'))),
inference('UR-RESOLVE',[status(thm)],[47,91]) ).
cnf(188,plain,
~ ilf_type(identity_relation_of('SKOLEMAAAV12'),member_type(power_set(cross_product('SKOLEMAAAV12','SKOLEMAAAV12')))),
inference('UR-RESOLVE',[status(thm)],[61,126]) ).
cnf(234,plain,
~ member(identity_relation_of('SKOLEMAAAV12'),power_set(cross_product('SKOLEMAAAV12','SKOLEMAAAV12'))),
inference('UR-RESOLVE',[status(thm)],[72,188,70]) ).
cnf(237,plain,
member('SKOLEMAAAV6'(identity_relation_of('SKOLEMAAAV12'),cross_product('SKOLEMAAAV12','SKOLEMAAAV12')),identity_relation_of('SKOLEMAAAV12')),
inference('UR-RESOLVE',[status(thm)],[68,234]) ).
cnf(239,plain,
~ member('SKOLEMAAAV6'(identity_relation_of('SKOLEMAAAV12'),cross_product('SKOLEMAAAV12','SKOLEMAAAV12')),cross_product('SKOLEMAAAV12','SKOLEMAAAV12')),
inference('UR-RESOLVE',[status(thm)],[69,234]) ).
cnf(425,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[63,237,50]),239]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET666+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 17:08:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T17:08:22
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-10T17:08:22
% 0.39/0.63
% 0.39/0.63
% 0.39/0.63 #||
% 0.39/0.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.63 % SZS output start Refutation
% See solution above
% 0.48/0.63 ||#
% 0.48/0.63
% 0.48/0.63 ; Summary of computation:
% 0.48/0.63 ; 783 formulas have been input or derived (from 114 formulas).
% 0.48/0.63 ; 425 (54%) were retained. Of these,
% 0.48/0.63 ; 43 (10%) were simplified or subsumed later,
% 0.48/0.63 ; 382 (90%) are still being kept.
% 0.48/0.63 ;
% 0.48/0.63 ; Run time in seconds excluding printing time:
% 0.48/0.63 ; 0.007 5% Read assertion file (1 call)
% 0.48/0.63 ; 0.001 1% Assert (25 calls)
% 0.48/0.63 ; 0.037 25% Process new row (645 calls)
% 0.48/0.63 ; 0.023 16% Resolution (226 calls)
% 0.48/0.63 ; 0.002 1% Paramodulation (113 calls)
% 0.48/0.63 ; 0.000 0% Factoring (22 calls)
% 0.48/0.63 ; 0.005 3% Condensing (366 calls)
% 0.48/0.63 ; 0.015 10% Forward subsumption (366 calls)
% 0.48/0.63 ; 0.011 8% Backward subsumption (313 calls)
% 0.48/0.63 ; 0.001 1% Clause clause subsumption (576 calls)
% 0.48/0.63 ; 0.009 6% Forward simplification (645 calls)
% 0.48/0.63 ; 0.003 2% Backward simplification (425 calls)
% 0.48/0.63 ; 0.003 2% Ordering (573 calls)
% 0.48/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.63 ; 0.001 1% Purity testing (1 call)
% 0.48/0.63 ; 0.028 19% Other
% 0.48/0.63 ; 0.146 Total
% 0.48/0.63 ; 0.148 Real time
% 0.48/0.63 ;
% 0.48/0.63 ; Term-hash-array has 927 terms in all.
% 0.48/0.63 ; Feature-vector-row-index has 270 entries (270 at peak, 313 added, 43 deleted).
% 0.48/0.63 ; Feature-vector-row-index has 1,772 nodes (1,772 at peak, 1,966 added, 194 deleted).
% 0.48/0.63 ; Retrieved 690 possibly forward subsuming rows in 366 calls.
% 0.48/0.63 ; Retrieved 16 possibly backward subsumed rows in 313 calls.
% 0.48/0.63 ; Path-index has 905 entries (905 at peak, 979 added, 74 deleted).
% 0.48/0.63 ; Path-index has 3,968 nodes (3,968 at peak, 4,050 added, 82 deleted).
% 0.48/0.63 ; Trie-index has 905 entries (905 at peak, 979 added, 74 deleted).
% 0.48/0.63 ; Trie-index has 4,226 nodes (4,226 at peak, 4,395 added, 169 deleted).
% 0.48/0.63 ; Retrieved 339 generalization terms in 1,345 calls.
% 0.48/0.63 ; Retrieved 138 instance terms in 111 calls.
% 0.48/0.63 ; Retrieved 5,331 unifiable terms in 1,158 calls.
% 0.48/0.63 ;
% 0.48/0.63 ; The agenda of rows to process has 5 entries:
% 0.48/0.63 ; 1 with value 24 3 with value 27 1 with value 33
% 0.48/0.63 ; The agenda of rows to give has 268 entries:
% 0.48/0.63 ; 1 with value (4 11) 6 with value (4 29) 2 with value (4 41)
% 0.48/0.63 ; 14 with value (4 18) 11 with value (4 30) 3 with value (4 42)
% 0.48/0.63 ; 16 with value (4 19) 6 with value (4 31) 5 with value (4 43)
% 0.48/0.63 ; 9 with value (4 20) 13 with value (4 32) 1 with value (4 44)
% 0.48/0.63 ; 17 with value (4 21) 6 with value (4 33) 6 with value (4 45)
% 0.48/0.63 ; 10 with value (4 22) 6 with value (4 34) 2 with value (4 46)
% 0.48/0.63 ; 15 with value (4 23) 12 with value (4 35) 1 with value (4 47)
% 0.48/0.63 ; 18 with value (4 24) 10 with value (4 36) 1 with value (4 48)
% 0.48/0.63 ; 22 with value (4 25) 5 with value (4 37) 7 with value (4 49)
% 0.48/0.63 ; 12 with value (4 26) 3 with value (4 38) 1 with value (4 58)
% 0.48/0.63 ; 11 with value (4 27) 6 with value (4 40) 1 with value (4 59)
% 0.48/0.63 ; 9 with value (4 28)
% 0.48/0.63 Evaluation took:
% 0.48/0.63 0.148 seconds of real time
% 0.48/0.63 0.130478 seconds of user run time
% 0.48/0.63 0.017996 seconds of system run time
% 0.48/0.63 0 calls to %EVAL
% 0.48/0.63 0 page faults and
% 0.48/0.63 10,797,072 bytes consed.
% 0.48/0.63 :PROOF-FOUND
% 0.48/0.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T17:08:22
% 0.48/0.63 :PROOF-FOUND
% 0.48/0.63 *
%------------------------------------------------------------------------------