TSTP Solution File: SET075-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET075-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 05:06:55 EDT 2022
% Result : Unsatisfiable 1.38s 1.56s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 2 nHn; 11 RR)
% Number of literals : 23 ( 4 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(unordered_pair2,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(cartesian_product1,axiom,
( ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product1) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(prove_corollary_to_unordered_pair_axiom3_1,negated_conjecture,
member(ordered_pair(x,y),cross_product(u,v)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_1) ).
cnf(prove_corollary_to_unordered_pair_axiom3_2,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_2) ).
cnf(132,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(155,plain,
member(x,u),
inference('HYPERRESOLVE',[status(thm)],[cartesian_product1,prove_corollary_to_unordered_pair_axiom3_1]) ).
cnf(283,plain,
member(x,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,155,class_elements_are_sets]) ).
cnf(320,plain,
~ member(x,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,283]) ).
cnf(322,plain,
member(x,unordered_pair(x,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,283]) ).
cnf(2338,plain,
member(x,null_class),
inference('PARAMODULATE',[status(thm)],[322,prove_corollary_to_unordered_pair_axiom3_2,theory(equality)]) ).
cnf(5390,plain,
complement(universal_class) = null_class,
inference('HYPERRESOLVE',[status(thm)],[complement1,132,regularity1]) ).
cnf(5394,plain,
$false,
inference('REWRITE',[status(thm)],[320,2338,5390,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SET075-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.04/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n012.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sun Jul 10 15:22:13 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.52 #<PACKAGE "SNARK-USER">
% 0.22/0.52 *
% 0.22/0.52 SNARK-TPTP-OPTIONS
% 0.22/0.52 *
% 0.22/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52 (USE-FACTORING :POS)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:22:13
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-10T15:22:13
% 1.38/1.56
% 1.38/1.56
% 1.38/1.56 #||
% 1.38/1.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.56 % SZS output start Refutation
% See solution above
% 1.38/1.56 ||#
% 1.38/1.56
% 1.38/1.56 ; Summary of computation:
% 1.38/1.56 ; 11296 formulas have been input or derived (from 202 formulas).
% 1.38/1.56 ; 5394 (48%) were retained. Of these,
% 1.38/1.56 ; 326 ( 6%) were simplified or subsumed later,
% 1.38/1.56 ; 5068 (94%) are still being kept.
% 1.38/1.56 ;
% 1.38/1.56 ; Run time in seconds:
% 1.38/1.56 ; 0.017 2% Read assertion file (1 call)
% 1.38/1.56 ; 0.003 0% Assert (93 calls)
% 1.38/1.56 ; 0.322 31% Process new row (10,496 calls)
% 1.38/1.56 ; 0.397 38% Resolution (402 calls)
% 1.38/1.56 ; 0.004 0% Paramodulation (201 calls)
% 1.38/1.56 ; 0.000 0% Factoring (4 calls)
% 1.38/1.56 ; 0.007 1% Condensing (433 calls)
% 1.38/1.56 ; 0.013 1% Forward subsumption (433 calls)
% 1.38/1.56 ; 0.019 2% Backward subsumption (420 calls)
% 1.38/1.56 ; 0.000 0% Clause clause subsumption (307 calls)
% 1.38/1.56 ; 0.125 12% Forward simplification (10,496 calls)
% 1.38/1.56 ; 0.063 6% Backward simplification (5,382 calls)
% 1.38/1.56 ; 0.004 0% Ordering (869 calls)
% 1.38/1.56 ; 0.000 0% Sortal reasoning (32 calls)
% 1.38/1.56 ; 0.001 0% Purity testing (1 call)
% 1.38/1.56 ; 0.063 6% Other
% 1.38/1.56 ; 1.038 Total
% 1.38/1.56 ; 1.039 Real time
% 1.38/1.56 ;
% 1.38/1.56 ; Term-hash-array has 8,526 terms in all.
% 1.38/1.56 ; Feature-vector-row-index has 417 entries (420 at peak, 420 added, 3 deleted).
% 1.38/1.56 ; Feature-vector-row-index has 2,168 nodes (2,183 at peak, 2,183 added, 15 deleted).
% 1.38/1.56 ; Retrieved 309 possibly forward subsuming rows in 433 calls.
% 1.41/1.56 ; Retrieved 186 possibly backward subsumed rows in 420 calls.
% 1.41/1.56 ; Path-index has 8,091 entries (8,533 at peak, 8,538 added, 447 deleted).
% 1.41/1.56 ; Path-index has 4,394 nodes (4,447 at peak, 4,448 added, 54 deleted).
% 1.41/1.56 ; Trie-index has 8,091 entries (8,533 at peak, 8,538 added, 447 deleted).
% 1.41/1.56 ; Trie-index has 20,824 nodes (21,893 at peak, 21,898 added, 1,074 deleted).
% 1.41/1.56 ; Retrieved 7,322 generalization terms in 24,749 calls.
% 1.41/1.56 ; Retrieved 4,980 instance terms in 4,961 calls.
% 1.41/1.56 ; Retrieved 531,714 unifiable terms in 8,103 calls.
% 1.41/1.56 ;
% 1.41/1.56 ; The agenda of backward simplifiable rows to process has 308 entries:
% 1.41/1.56 ; 308 with value 0
% 1.41/1.56 ; The agenda of rows to process has 146 entries:
% 1.41/1.56 ; 1 with value 12 10 with value 17 58 with value 21
% 1.41/1.56 ; 6 with value 14 10 with value 18 5 with value 22
% 1.41/1.56 ; 1 with value 15 20 with value 19 1 with value 27
% 1.41/1.56 ; 2 with value 16 32 with value 20
% 1.41/1.56 ; The agenda of rows to give has 4890 entries:
% 1.41/1.56 ; 1 with value (4 5) 68 with value (4 21) 2 with value (4 33)
% 1.41/1.56 ; 1 with value (4 6) 5 with value (4 22) 2 with value (4 34)
% 1.41/1.56 ; 2 with value (4 8) 10 with value (4 23) 2 with value (4 37)
% 1.41/1.56 ; 61 with value (4 11) 13 with value (4 24) 1 with value (4 43)
% 1.41/1.56 ; 110 with value (4 12) 7 with value (4 25) 1 with value (4 44)
% 1.41/1.56 ; 160 with value (4 13) 7 with value (4 26) 1 with value (4 45)
% 1.41/1.56 ; 277 with value (4 14) 2 with value (4 27) 3 with value (4 46)
% 1.41/1.56 ; 383 with value (4 15) 12 with value (4 28) 1 with value (4 49)
% 1.41/1.56 ; 816 with value (4 16) 5 with value (4 29) 1 with value (4 51)
% 1.41/1.56 ; 946 with value (4 17) 3 with value (4 30) 1 with value (4 53)
% 1.41/1.56 ; 1168 with value (4 18) 1 with value (4 31) 1 with value (4 59)
% 1.41/1.56 ; 529 with value (4 19) 1 with value (4 32) 1 with value (4 63)
% 1.41/1.56 ; 285 with value (4 20)
% 1.41/1.56 Evaluation took:
% 1.41/1.56 1.04 seconds of real time
% 1.41/1.56 0.977901 seconds of user run time
% 1.41/1.56 0.061879 seconds of system run time
% 1.41/1.56 [Run times include 0.096 seconds GC run time.]
% 1.41/1.56 0 calls to %EVAL
% 1.41/1.56 0 page faults and
% 1.41/1.56 59,653,712 bytes consed.
% 1.41/1.56 :PROOF-FOUND
% 1.41/1.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T15:22:14
% 1.41/1.56 :PROOF-FOUND
% 1.41/1.56 *
%------------------------------------------------------------------------------