%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET479-6 : 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 05:09:53 EDT 2022
% Result : Unsatisfiable 0.55s 0.76s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 10 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 7 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(cartesian_product2,axiom,
( ~ member(ordered_pair(X,Y),cross_product(Z,U))
| member(Y,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).
cnf(definition_of_domain_relation1,axiom,
subclass(domain_relation,cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-1.ax',definition_of_domain_relation1) ).
cnf(definition_of_domain_relation3,axiom,
( ~ member(X,universal_class)
| member(ordered_pair(X,domain_of(X)),domain_relation) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-1.ax',definition_of_domain_relation3) ).
cnf(prove_replacement_property1_1,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_replacement_property1_1) ).
cnf(prove_replacement_property1_2,negated_conjecture,
~ member(domain_of(x),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_replacement_property1_2) ).
cnf(161,plain,
~ member(domain_of(x),X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_replacement_property1_2]) ).
cnf(198,plain,
member(ordered_pair(x,domain_of(x)),domain_relation),
inference('HYPERRESOLVE',[status(thm)],[definition_of_domain_relation3,prove_replacement_property1_1]) ).
cnf(499,plain,
~ member(ordered_pair(X,domain_of(x)),cross_product(Y,Z)),
inference('UR-RESOLVE',[status(thm)],[cartesian_product2,161]) ).
cnf(1412,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[subclass_members,198,definition_of_domain_relation1]),499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET479-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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 : Sat Jul 9 18:05:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:05:27
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-09T18:05:27
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 #||
% 0.55/0.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.76 % SZS output start Refutation
% See solution above
% 0.55/0.76 ||#
% 0.55/0.76
% 0.55/0.76 ; Summary of computation:
% 0.55/0.76 ; 2920 formulas have been input or derived (from 165 formulas).
% 0.55/0.76 ; 1412 (48%) were retained. Of these,
% 0.55/0.76 ; 20 ( 1%) were simplified or subsumed later,
% 0.55/0.76 ; 1392 (99%) are still being kept.
% 0.55/0.76 ;
% 0.55/0.76 ; Run time in seconds excluding printing time:
% 0.55/0.76 ; 0.021 7% Read assertion file (1 call)
% 0.55/0.76 ; 0.004 1% Assert (114 calls)
% 0.55/0.76 ; 0.088 29% Process new row (2,630 calls)
% 0.55/0.76 ; 0.067 22% Resolution (328 calls)
% 0.55/0.76 ; 0.007 2% Paramodulation (164 calls)
% 0.55/0.76 ; 0.000 0% Factoring (3 calls)
% 0.55/0.76 ; 0.005 2% Condensing (317 calls)
% 0.55/0.76 ; 0.015 5% Forward subsumption (317 calls)
% 0.55/0.76 ; 0.010 3% Backward subsumption (300 calls)
% 0.55/0.76 ; 0.001 0% Clause clause subsumption (186 calls)
% 0.55/0.76 ; 0.044 15% Forward simplification (2,630 calls)
% 0.55/0.76 ; 0.005 2% Backward simplification (1,397 calls)
% 0.55/0.76 ; 0.002 1% Ordering (609 calls)
% 0.55/0.76 ; 0.000 0% Sortal reasoning (32 calls)
% 0.55/0.76 ; 0.000 0% Purity testing (1 call)
% 0.55/0.76 ; 0.032 11% Other
% 0.55/0.76 ; 0.301 Total
% 0.55/0.76 ; 0.303 Real time
% 0.55/0.76 ;
% 0.55/0.76 ; Term-hash-array has 2,722 terms in all.
% 0.55/0.76 ; Feature-vector-row-index has 300 entries (300 at peak, 300 added, 0 deleted).
% 0.55/0.76 ; Feature-vector-row-index has 1,891 nodes (1,891 at peak, 1,891 added, 0 deleted).
% 0.55/0.76 ; Retrieved 180 possibly forward subsuming rows in 317 calls.
% 0.55/0.76 ; Retrieved 59 possibly backward subsumed rows in 300 calls.
% 0.55/0.76 ; Path-index has 2,727 entries (2,727 at peak, 2,735 added, 8 deleted).
% 0.55/0.76 ; Path-index has 4,218 nodes (4,218 at peak, 4,225 added, 7 deleted).
% 0.55/0.76 ; Trie-index has 2,727 entries (2,727 at peak, 2,735 added, 8 deleted).
% 0.55/0.76 ; Trie-index has 8,337 nodes (8,337 at peak, 8,350 added, 13 deleted).
% 0.55/0.76 ; Retrieved 1,958 generalization terms in 6,256 calls.
% 0.55/0.76 ; Retrieved 1,124 instance terms in 1,096 calls.
% 0.55/0.76 ; Retrieved 80,208 unifiable terms in 3,097 calls.
% 0.55/0.76 ;
% 0.55/0.76 ; The agenda of rows to process has 124 entries:
% 0.55/0.76 ; 9 with value 13 24 with value 17 28 with value 19
% 0.55/0.76 ; 12 with value 16 49 with value 18 2 with value 21
% 0.55/0.76 ; The agenda of rows to give has 1228 entries:
% 0.55/0.76 ; 41 with value (4 10) 5 with value (4 22) 3 with value (4 34)
% 0.55/0.76 ; 45 with value (4 11) 10 with value (4 23) 2 with value (4 37)
% 0.55/0.76 ; 70 with value (4 12) 5 with value (4 24) 1 with value (4 43)
% 0.55/0.76 ; 95 with value (4 13) 5 with value (4 25) 1 with value (4 44)
% 0.55/0.76 ; 166 with value (4 14) 7 with value (4 26) 1 with value (4 45)
% 0.55/0.76 ; 201 with value (4 15) 1 with value (4 27) 4 with value (4 46)
% 0.55/0.76 ; 223 with value (4 16) 3 with value (4 28) 2 with value (4 49)
% 0.55/0.76 ; 121 with value (4 17) 5 with value (4 29) 1 with value (4 51)
% 0.55/0.76 ; 105 with value (4 18) 3 with value (4 30) 1 with value (4 53)
% 0.55/0.76 ; 66 with value (4 19) 1 with value (4 31) 1 with value (4 55)
% 0.55/0.76 ; 12 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 0.55/0.76 ; 16 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 0.55/0.76 Evaluation took:
% 0.55/0.76 0.304 seconds of real time
% 0.55/0.76 0.272379 seconds of user run time
% 0.55/0.76 0.031133 seconds of system run time
% 0.55/0.76 [Run times include 0.013 seconds GC run time.]
% 0.55/0.76 0 calls to %EVAL
% 0.55/0.76 0 page faults and
% 0.55/0.76 18,588,048 bytes consed.
% 0.55/0.76 :PROOF-FOUND
% 0.55/0.76 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:05:27
% 0.55/0.76 :PROOF-FOUND
% 0.55/0.76 *
%------------------------------------------------------------------------------