TSTP Solution File: SET649+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET649+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:11:17 EDT 2022
% Result : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of clauses : 37 ( 18 unt; 4 nHn; 32 RR)
% Number of literals : 84 ( 0 equ; 50 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 50 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
cnf(2,axiom,
( ~ ilf_type(X,binary_relation_type)
| subset(X,cross_product(domain_of(X),range_of(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
cnf(3,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,set_type)
| ~ ilf_type(U,set_type)
| ~ subset(X,Y)
| ~ subset(Z,U)
| subset(cross_product(X,Z),cross_product(Y,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
cnf(4,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',p4) ).
cnf(18,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',p12) ).
cnf(25,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',p15) ).
cnf(27,axiom,
( ~ ilf_type(X,set_type)
| subset(X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
cnf(37,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| member('SKOLEMAAAW10'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
cnf(38,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| member(X,power_set(Y))
| ~ member('SKOLEMAAAW10'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
cnf(39,axiom,
( ~ ilf_type(X,set_type)
| ~ empty(power_set(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
cnf(42,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',p22) ).
cnf(48,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
cnf(49,negated_conjecture,
ilf_type('SKOLEMAAAW15',binary_relation_type),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_11) ).
cnf(50,negated_conjecture,
subset(domain_of('SKOLEMAAAW15'),'SKOLEMAAAW13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_11) ).
cnf(51,negated_conjecture,
subset(range_of('SKOLEMAAAW15'),'SKOLEMAAAW14'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_11) ).
cnf(52,negated_conjecture,
~ ilf_type('SKOLEMAAAW15',relation_type('SKOLEMAAAW13','SKOLEMAAAW14')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_relset_1_11) ).
cnf(57,plain,
( ~ subset(X,Y)
| ~ subset(Y,Z)
| subset(X,Z) ),
inference('REWRITE',[status(thm)],[1,48]) ).
cnf(58,plain,
( ~ subset(X,Y)
| ~ subset(Z,U)
| subset(cross_product(X,Z),cross_product(Y,U)) ),
inference('REWRITE',[status(thm)],[3,48]) ).
cnf(59,plain,
( ~ ilf_type(X,subset_type(cross_product(Y,Z)))
| ilf_type(X,relation_type(Y,Z)) ),
inference('REWRITE',[status(thm)],[4,48]) ).
cnf(64,plain,
( ~ subset(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
inference('REWRITE',[status(thm)],[18,48]) ).
cnf(68,plain,
( ilf_type(X,subset_type(Y))
| ~ ilf_type(X,member_type(power_set(Y))) ),
inference('REWRITE',[status(thm)],[25,48]) ).
cnf(70,plain,
subset(X,X),
inference('REWRITE',[status(thm)],[27,48]) ).
cnf(76,plain,
( member(X,power_set(Y))
| member('SKOLEMAAAW10'(X,Y),X) ),
inference('REWRITE',[status(thm)],[37,48]) ).
cnf(77,plain,
( member(X,power_set(Y))
| ~ member('SKOLEMAAAW10'(X,Y),Y) ),
inference('REWRITE',[status(thm)],[38,48]) ).
cnf(78,plain,
~ empty(power_set(X)),
inference('REWRITE',[status(thm)],[39,48]) ).
cnf(80,plain,
( empty(X)
| ilf_type(Y,member_type(X))
| ~ member(Y,X) ),
inference('REWRITE',[status(thm)],[42,48]) ).
cnf(110,plain,
subset('SKOLEMAAAW15',cross_product(domain_of('SKOLEMAAAW15'),range_of('SKOLEMAAAW15'))),
inference('HYPERRESOLVE',[status(thm)],[2,49]) ).
cnf(122,plain,
~ ilf_type('SKOLEMAAAW15',subset_type(cross_product('SKOLEMAAAW13','SKOLEMAAAW14'))),
inference('UR-RESOLVE',[status(thm)],[59,52]) ).
cnf(126,plain,
subset(cross_product(domain_of('SKOLEMAAAW15'),X),cross_product('SKOLEMAAAW13',X)),
inference('HYPERRESOLVE',[status(thm)],[58,50,70]) ).
cnf(127,plain,
subset(cross_product(X,range_of('SKOLEMAAAW15')),cross_product(X,'SKOLEMAAAW14')),
inference('HYPERRESOLVE',[status(thm)],[58,70,51]) ).
cnf(189,plain,
~ ilf_type('SKOLEMAAAW15',member_type(power_set(cross_product('SKOLEMAAAW13','SKOLEMAAAW14')))),
inference('UR-RESOLVE',[status(thm)],[68,122]) ).
cnf(273,plain,
subset('SKOLEMAAAW15',cross_product('SKOLEMAAAW13',range_of('SKOLEMAAAW15'))),
inference('HYPERRESOLVE',[status(thm)],[57,126,110]) ).
cnf(316,plain,
subset('SKOLEMAAAW15',cross_product('SKOLEMAAAW13','SKOLEMAAAW14')),
inference('HYPERRESOLVE',[status(thm)],[57,127,273]) ).
cnf(579,plain,
~ member('SKOLEMAAAW15',power_set(cross_product('SKOLEMAAAW13','SKOLEMAAAW14'))),
inference('UR-RESOLVE',[status(thm)],[80,189,78]) ).
cnf(581,plain,
member('SKOLEMAAAW10'('SKOLEMAAAW15',cross_product('SKOLEMAAAW13','SKOLEMAAAW14')),'SKOLEMAAAW15'),
inference('UR-RESOLVE',[status(thm)],[76,579]) ).
cnf(584,plain,
~ member('SKOLEMAAAW10'('SKOLEMAAAW15',cross_product('SKOLEMAAAW13','SKOLEMAAAW14')),cross_product('SKOLEMAAAW13','SKOLEMAAAW14')),
inference('UR-RESOLVE',[status(thm)],[77,579]) ).
cnf(864,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[64,581,316]),584]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET649+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n019.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 : Sun Jul 10 19:58:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T19:58:08
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T19:58:08
% 0.56/0.74
% 0.56/0.74
% 0.56/0.74 #||
% 0.56/0.74 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.74 % SZS output start Refutation
% See solution above
% 0.56/0.75 ||#
% 0.56/0.75
% 0.56/0.75 ; Summary of computation:
% 0.56/0.75 ; 1450 formulas have been input or derived (from 94 formulas).
% 0.56/0.75 ; 864 (60%) were retained. Of these,
% 0.56/0.75 ; 55 ( 6%) were simplified or subsumed later,
% 0.56/0.75 ; 809 (94%) are still being kept.
% 0.56/0.75 ;
% 0.56/0.75 ; Run time in seconds excluding printing time:
% 0.56/0.75 ; 0.009 3% Read assertion file (1 call)
% 0.56/0.75 ; 0.002 1% Assert (27 calls)
% 0.56/0.75 ; 0.096 36% Process new row (1,325 calls)
% 0.56/0.75 ; 0.025 9% Resolution (186 calls)
% 0.56/0.75 ; 0.001 0% Paramodulation (93 calls)
% 0.56/0.75 ; 0.000 0% Factoring (16 calls)
% 0.56/0.75 ; 0.004 1% Condensing (594 calls)
% 0.56/0.75 ; 0.048 18% Forward subsumption (594 calls)
% 0.56/0.75 ; 0.018 7% Backward subsumption (537 calls)
% 0.56/0.75 ; 0.005 2% Clause clause subsumption (4,877 calls)
% 0.56/0.75 ; 0.021 8% Forward simplification (1,325 calls)
% 0.56/0.75 ; 0.006 2% Backward simplification (864 calls)
% 0.56/0.75 ; 0.003 1% Ordering (1,026 calls)
% 0.56/0.75 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.75 ; 0.000 0% Purity testing (1 call)
% 0.56/0.75 ; 0.031 12% Other
% 0.56/0.75 ; 0.269 Total
% 0.56/0.75 ; 0.271 Real time
% 0.56/0.75 ;
% 0.56/0.75 ; Term-hash-array has 1,901 terms in all.
% 0.56/0.75 ; Feature-vector-row-index has 482 entries (492 at peak, 537 added, 55 deleted).
% 0.56/0.75 ; Feature-vector-row-index has 3,092 nodes (3,157 at peak, 3,319 added, 227 deleted).
% 0.56/0.75 ; Retrieved 4,214 possibly forward subsuming rows in 594 calls.
% 0.56/0.75 ; Retrieved 919 possibly backward subsumed rows in 537 calls.
% 0.56/0.75 ; Path-index has 1,879 entries (1,879 at peak, 1,980 added, 101 deleted).
% 0.56/0.75 ; Path-index has 3,611 nodes (3,611 at peak, 3,724 added, 113 deleted).
% 0.56/0.75 ; Trie-index has 1,879 entries (1,879 at peak, 1,980 added, 101 deleted).
% 0.56/0.75 ; Trie-index has 7,178 nodes (7,178 at peak, 7,419 added, 241 deleted).
% 0.56/0.75 ; Retrieved 2,350 generalization terms in 2,025 calls.
% 0.56/0.75 ; Retrieved 364 instance terms in 326 calls.
% 0.56/0.75 ; Retrieved 20,856 unifiable terms in 1,382 calls.
% 0.56/0.75 ;
% 0.56/0.75 ; The agenda of rows to process has 11 entries:
% 0.56/0.75 ; 4 with value 18 1 with value 22 1 with value 29
% 0.56/0.75 ; 3 with value 19 2 with value 24
% 0.56/0.75 ; The agenda of rows to give has 715 entries:
% 0.56/0.75 ; 1 with value (4 8) 91 with value (4 23) 7 with value (4 37)
% 0.56/0.75 ; 2 with value (4 12) 75 with value (4 24) 6 with value (4 39)
% 0.56/0.75 ; 6 with value (4 13) 64 with value (4 25) 1 with value (4 40)
% 0.56/0.75 ; 6 with value (4 15) 49 with value (4 26) 2 with value (4 41)
% 0.56/0.75 ; 14 with value (4 16) 42 with value (4 27) 2 with value (4 42)
% 0.56/0.75 ; 24 with value (4 17) 25 with value (4 28) 10 with value (4 43)
% 0.56/0.75 ; 30 with value (4 18) 13 with value (4 29) 3 with value (4 47)
% 0.56/0.75 ; 49 with value (4 19) 3 with value (4 30) 1 with value (4 48)
% 0.56/0.75 ; 54 with value (4 20) 2 with value (4 32) 6 with value (4 51)
% 0.56/0.75 ; 37 with value (4 21) 3 with value (4 35) 2 with value (4 55)
% 0.56/0.75 ; 85 with value (4 22)
% 0.56/0.75 Evaluation took:
% 0.56/0.75 0.272 seconds of real time
% 0.56/0.75 0.23562 seconds of user run time
% 0.56/0.75 0.035842 seconds of system run time
% 0.56/0.75 [Run times include 0.015 seconds GC run time.]
% 0.56/0.75 0 calls to %EVAL
% 0.56/0.75 0 page faults and
% 0.56/0.75 21,633,544 bytes consed.
% 0.56/0.75 :PROOF-FOUND
% 0.56/0.75 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T19:58:08
% 0.56/0.75 :PROOF-FOUND
% 0.56/0.75 *
%------------------------------------------------------------------------------