TSTP Solution File: SET553-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET553-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 05:10:18 EDT 2022
% Result : Unsatisfiable 6.88s 7.08s
% Output : Refutation 6.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 13 ( 1 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(cantor_class,axiom,
intersection(domain_of(X),diagonalise(compose(inverse(element_relation),X))) = cantor(X),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',cantor_class) ).
cnf(prove_cantor_class_alternate_defn_1,negated_conjecture,
~ subclass(cantor(x),domain_of(x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cantor_class_alternate_defn_1) ).
cnf(143,plain,
member(not_subclass_element(cantor(x),domain_of(x)),cantor(x)),
inference('HYPERRESOLVE',[status(thm)],[prove_cantor_class_alternate_defn_1,not_subclass_members1]) ).
cnf(144,plain,
~ member(not_subclass_element(cantor(x),domain_of(x)),domain_of(x)),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,prove_cantor_class_alternate_defn_1]) ).
cnf(222,plain,
( ~ member(X,cantor(Y))
| member(X,domain_of(Y)) ),
inference('PARAMODULATE',[status(thm)],[intersection1,cantor_class,theory(equality)]) ).
cnf(29262,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[222,143,144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET553-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 00:04:15 EDT 2022
% 0.12/0.33 % 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 2022-07-10T00:04:15
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-07-10T00:04:15
% 6.88/7.08
% 6.88/7.08
% 6.88/7.08 #||
% 6.88/7.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.88/7.08 % SZS output start Refutation
% See solution above
% 6.88/7.08 ||#
% 6.88/7.08
% 6.88/7.08 ; Summary of computation:
% 6.88/7.08 ; 55673 formulas have been input or derived (from 630 formulas).
% 6.88/7.08 ; 29262 (53%) were retained. Of these,
% 6.88/7.08 ; 370 ( 1%) were simplified or subsumed later,
% 6.88/7.08 ; 28892 (99%) are still being kept.
% 6.88/7.08 ;
% 6.88/7.08 ; Run time in seconds excluding printing time:
% 6.88/7.08 ; 0.021 0% Read assertion file (1 call)
% 6.88/7.08 ; 0.003 0% Assert (113 calls)
% 6.88/7.08 ; 2.009 30% Process new row (54,456 calls)
% 6.88/7.08 ; 2.402 36% Resolution (1,258 calls)
% 6.88/7.08 ; 0.024 0% Paramodulation (629 calls)
% 6.88/7.08 ; 0.000 0% Factoring (11 calls)
% 6.88/7.08 ; 0.018 0% Condensing (3,372 calls)
% 6.88/7.08 ; 0.674 10% Forward subsumption (3,372 calls)
% 6.88/7.08 ; 0.234 4% Backward subsumption (3,321 calls)
% 6.88/7.08 ; 0.023 0% Clause clause subsumption (15,263 calls)
% 6.88/7.08 ; 0.639 10% Forward simplification (54,450 calls)
% 6.88/7.08 ; 0.353 5% Backward simplification (29,247 calls)
% 6.88/7.08 ; 0.015 0% Ordering (8,398 calls)
% 6.88/7.08 ; 0.000 0% Sortal reasoning (32 calls)
% 6.88/7.08 ; 0.001 0% Purity testing (1 call)
% 6.88/7.08 ; 0.199 3% Other
% 6.88/7.08 ; 6.615 Total
% 6.88/7.08 ; 6.615 Real time
% 6.88/7.08 ;
% 6.88/7.08 ; Term-hash-array has 40,534 terms in all.
% 6.88/7.08 ; Feature-vector-row-index has 3,294 entries (3,294 at peak, 3,321 added, 27 deleted).
% 6.88/7.08 ; Feature-vector-row-index has 13,291 nodes (13,291 at peak, 13,414 added, 123 deleted).
% 6.88/7.08 ; Retrieved 20,716 possibly forward subsuming rows in 3,372 calls.
% 6.88/7.08 ; Retrieved 4,947 possibly backward subsumed rows in 3,321 calls.
% 6.88/7.08 ; Path-index has 40,115 entries (40,115 at peak, 40,596 added, 481 deleted).
% 6.88/7.08 ; Path-index has 9,464 nodes (9,464 at peak, 9,589 added, 125 deleted).
% 6.88/7.08 ; Trie-index has 40,115 entries (40,115 at peak, 40,596 added, 481 deleted).
% 6.88/7.08 ; Trie-index has 112,508 nodes (112,508 at peak, 113,627 added, 1,119 deleted).
% 6.88/7.08 ; Retrieved 38,261 generalization terms in 146,814 calls.
% 6.88/7.08 ; Retrieved 26,076 instance terms in 25,925 calls.
% 6.88/7.08 ; Retrieved 5,673,816 unifiable terms in 34,609 calls.
% 6.88/7.08 ;
% 6.88/7.08 ; The agenda of rows to process has 4 entries:
% 6.88/7.08 ; 3 with value 13 1 with value 17
% 6.88/7.08 ; The agenda of rows to give has 28283 entries:
% 6.88/7.08 ; 360 with value (4 13) 709 with value (4 24) 2 with value (4 37)
% 6.88/7.08 ; 545 with value (4 14) 354 with value (4 25) 1 with value (4 43)
% 6.88/7.08 ; 810 with value (4 15) 26 with value (4 26) 1 with value (4 44)
% 6.88/7.08 ; 1090 with value (4 16) 15 with value (4 27) 1 with value (4 45)
% 6.88/7.08 ; 1367 with value (4 17) 13 with value (4 28) 4 with value (4 46)
% 6.88/7.08 ; 2419 with value (4 18) 22 with value (4 29) 2 with value (4 49)
% 6.88/7.08 ; 3124 with value (4 19) 17 with value (4 30) 1 with value (4 51)
% 6.88/7.08 ; 5044 with value (4 20) 4 with value (4 31) 1 with value (4 53)
% 6.88/7.08 ; 5438 with value (4 21) 8 with value (4 32) 1 with value (4 55)
% 6.88/7.08 ; 4830 with value (4 22) 2 with value (4 33) 1 with value (4 59)
% 6.88/7.08 ; 2067 with value (4 23) 3 with value (4 34) 1 with value (4 63)
% 6.88/7.08 Evaluation took:
% 6.88/7.08 6.618 seconds of real time
% 6.88/7.08 6.180476 seconds of user run time
% 6.88/7.08 0.437833 seconds of system run time
% 6.88/7.08 [Run times include 1.205 seconds GC run time.]
% 6.88/7.08 0 calls to %EVAL
% 6.88/7.08 0 page faults and
% 6.88/7.08 401,209,552 bytes consed.
% 6.88/7.08 :PROOF-FOUND
% 6.88/7.08 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T00:04:22
% 6.88/7.08 :PROOF-FOUND
% 6.88/7.08 *
%------------------------------------------------------------------------------