%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET073-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 05:06:54 EDT 2022
% Result : Unsatisfiable 1.01s 1.19s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 9 unt; 2 nHn; 10 RR)
% Number of literals : 22 ( 5 equ; 9 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 3 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(equal_implies_subclass1,axiom,
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
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(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_axiom1_1,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_1) ).
cnf(prove_corollary_to_unordered_pair_axiom1_2,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_2) ).
cnf(111,plain,
~ member(x,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,prove_corollary_to_unordered_pair_axiom1_1]) ).
cnf(124,plain,
member(x,unordered_pair(x,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,prove_corollary_to_unordered_pair_axiom1_1]) ).
cnf(135,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(474,plain,
member(x,null_class),
inference('PARAMODULATE',[status(thm)],[124,prove_corollary_to_unordered_pair_axiom1_2,theory(equality)]) ).
cnf(507,plain,
~ subclass(null_class,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[subclass_members,474,111]) ).
cnf(1648,plain,
null_class != complement(universal_class),
inference('UR-RESOLVE',[status(thm)],[equal_implies_subclass1,507]) ).
cnf(4637,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[complement1,135,regularity1]),1648]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET073-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 11:02:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:02:28
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-10T11:02:28
% 1.01/1.19
% 1.01/1.19
% 1.01/1.19 #||
% 1.01/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.01/1.19 % SZS output start Refutation
% See solution above
% 1.04/1.21 ||#
% 1.04/1.21
% 1.04/1.21 ; Summary of computation:
% 1.04/1.21 ; 9485 formulas have been input or derived (from 195 formulas).
% 1.04/1.21 ; 4637 (49%) were retained. Of these,
% 1.04/1.21 ; 13 ( 0%) were simplified or subsumed later,
% 1.04/1.21 ; 4624 (100%) are still being kept.
% 1.04/1.21 ;
% 1.04/1.21 ; Run time in seconds excluding printing time:
% 1.04/1.21 ; 0.018 2% Read assertion file (1 call)
% 1.04/1.21 ; 0.003 0% Assert (93 calls)
% 1.04/1.21 ; 0.275 38% Process new row (9,021 calls)
% 1.04/1.21 ; 0.204 28% Resolution (388 calls)
% 1.04/1.21 ; 0.006 1% Paramodulation (194 calls)
% 1.04/1.21 ; 0.000 0% Factoring (4 calls)
% 1.04/1.21 ; 0.004 1% Condensing (418 calls)
% 1.04/1.21 ; 0.013 2% Forward subsumption (418 calls)
% 1.04/1.21 ; 0.011 2% Backward subsumption (405 calls)
% 1.04/1.21 ; 0.001 0% Clause clause subsumption (299 calls)
% 1.04/1.21 ; 0.094 13% Forward simplification (9,021 calls)
% 1.04/1.21 ; 0.045 6% Backward simplification (4,625 calls)
% 1.04/1.21 ; 0.005 1% Ordering (876 calls)
% 1.04/1.21 ; 0.000 0% Sortal reasoning (32 calls)
% 1.04/1.21 ; 0.000 0% Purity testing (1 call)
% 1.04/1.21 ; 0.047 6% Other
% 1.04/1.21 ; 0.726 Total
% 1.04/1.21 ; 0.745 Real time
% 1.04/1.21 ;
% 1.04/1.21 ; Term-hash-array has 7,271 terms in all.
% 1.04/1.21 ; Feature-vector-row-index has 405 entries (405 at peak, 405 added, 0 deleted).
% 1.04/1.21 ; Feature-vector-row-index has 1,919 nodes (1,919 at peak, 1,919 added, 0 deleted).
% 1.04/1.21 ; Retrieved 387 possibly forward subsuming rows in 418 calls.
% 1.04/1.21 ; Retrieved 248 possibly backward subsumed rows in 405 calls.
% 1.04/1.21 ; Path-index has 7,280 entries (7,280 at peak, 7,281 added, 1 deleted).
% 1.04/1.21 ; Path-index has 4,292 nodes (4,292 at peak, 4,293 added, 1 deleted).
% 1.04/1.21 ; Trie-index has 7,280 entries (7,280 at peak, 7,281 added, 1 deleted).
% 1.04/1.21 ; Trie-index has 20,791 nodes (20,791 at peak, 20,792 added, 1 deleted).
% 1.04/1.21 ; Retrieved 6,156 generalization terms in 22,876 calls.
% 1.04/1.21 ; Retrieved 4,237 instance terms in 4,219 calls.
% 1.04/1.21 ; Retrieved 431,206 unifiable terms in 7,270 calls.
% 1.04/1.21 ;
% 1.04/1.21 ; The agenda of rows to process has 137 entries:
% 1.04/1.21 ; 1 with value 12 2 with value 16 16 with value 20
% 1.04/1.21 ; 1 with value 13 8 with value 17 54 with value 21
% 1.04/1.21 ; 6 with value 14 12 with value 18 5 with value 22
% 1.04/1.21 ; 1 with value 15 30 with value 19 1 with value 27
% 1.04/1.21 ; The agenda of rows to give has 4429 entries:
% 1.04/1.21 ; 78 with value (4 11) 5 with value (4 22) 2 with value (4 34)
% 1.04/1.21 ; 101 with value (4 12) 10 with value (4 23) 2 with value (4 37)
% 1.04/1.21 ; 197 with value (4 13) 17 with value (4 24) 1 with value (4 43)
% 1.04/1.21 ; 271 with value (4 14) 4 with value (4 25) 1 with value (4 44)
% 1.04/1.21 ; 364 with value (4 15) 7 with value (4 26) 1 with value (4 45)
% 1.04/1.21 ; 682 with value (4 16) 16 with value (4 28) 3 with value (4 46)
% 1.04/1.21 ; 697 with value (4 17) 5 with value (4 29) 1 with value (4 49)
% 1.04/1.21 ; 1107 with value (4 18) 3 with value (4 30) 1 with value (4 51)
% 1.04/1.21 ; 462 with value (4 19) 1 with value (4 31) 1 with value (4 53)
% 1.04/1.21 ; 312 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 1.04/1.21 ; 72 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 1.04/1.21 Evaluation took:
% 1.04/1.21 0.746 seconds of real time
% 1.04/1.21 0.691194 seconds of user run time
% 1.04/1.21 0.05417 seconds of system run time
% 1.04/1.21 [Run times include 0.065 seconds GC run time.]
% 1.04/1.21 0 calls to %EVAL
% 1.04/1.21 0 page faults and
% 1.04/1.21 51,110,240 bytes consed.
% 1.04/1.21 :PROOF-FOUND
% 1.04/1.21 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:02:28
% 1.04/1.21 :PROOF-FOUND
% 1.04/1.21 *
%------------------------------------------------------------------------------