%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET025-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 05:06:04 EDT 2022
% Result : Unsatisfiable 0.40s 0.62s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 1 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 6 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_pairs_in_universal,axiom,
member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
cnf(ordered_pair,axiom,
unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(prove_ordered_pair_is_set_1,negated_conjecture,
~ member(ordered_pair(x,y),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pair_is_set_1) ).
cnf(131,plain,
~ member(ordered_pair(x,y),X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_ordered_pair_is_set_1]) ).
cnf(171,plain,
member(ordered_pair(X,Y),universal_class),
inference('PARAMODULATE',[status(thm)],[unordered_pairs_in_universal,ordered_pair,theory(equality)]) ).
cnf(437,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[131,171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET025-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % 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 05:44:32 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T05:44:32
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-10T05:44:32
% 0.40/0.62
% 0.40/0.62
% 0.40/0.62 #||
% 0.40/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.62 % SZS output start Refutation
% See solution above
% 0.40/0.62 ||#
% 0.40/0.62
% 0.40/0.62 ; Summary of computation:
% 0.40/0.62 ; 911 formulas have been input or derived (from 107 formulas).
% 0.40/0.62 ; 437 (48%) were retained. Of these,
% 0.40/0.62 ; 17 ( 4%) were simplified or subsumed later,
% 0.40/0.62 ; 420 (96%) are still being kept.
% 0.40/0.62 ;
% 0.40/0.62 ; Run time in seconds excluding printing time:
% 0.40/0.62 ; 0.017 12% Read assertion file (1 call)
% 0.40/0.62 ; 0.003 2% Assert (92 calls)
% 0.40/0.62 ; 0.035 25% Process new row (751 calls)
% 0.40/0.62 ; 0.020 14% Resolution (212 calls)
% 0.40/0.62 ; 0.006 4% Paramodulation (106 calls)
% 0.40/0.62 ; 0.000 0% Factoring (3 calls)
% 0.40/0.62 ; 0.003 2% Condensing (199 calls)
% 0.40/0.62 ; 0.009 6% Forward subsumption (199 calls)
% 0.40/0.62 ; 0.008 6% Backward subsumption (186 calls)
% 0.40/0.62 ; 0.001 1% Clause clause subsumption (109 calls)
% 0.40/0.62 ; 0.009 6% Forward simplification (751 calls)
% 0.40/0.62 ; 0.004 3% Backward simplification (425 calls)
% 0.40/0.62 ; 0.001 1% Ordering (379 calls)
% 0.40/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.62 ; 0.000 0% Purity testing (1 call)
% 0.40/0.62 ; 0.026 18% Other
% 0.40/0.62 ; 0.142 Total
% 0.40/0.62 ; 0.143 Real time
% 0.40/0.62 ;
% 0.40/0.62 ; Term-hash-array has 1,028 terms in all.
% 0.40/0.62 ; Feature-vector-row-index has 186 entries (186 at peak, 186 added, 0 deleted).
% 0.40/0.62 ; Feature-vector-row-index has 1,225 nodes (1,225 at peak, 1,225 added, 0 deleted).
% 0.40/0.62 ; Retrieved 100 possibly forward subsuming rows in 199 calls.
% 0.40/0.62 ; Retrieved 34 possibly backward subsumed rows in 186 calls.
% 0.40/0.62 ; Path-index has 1,030 entries (1,030 at peak, 1,038 added, 8 deleted).
% 0.40/0.62 ; Path-index has 2,932 nodes (2,932 at peak, 2,939 added, 7 deleted).
% 0.40/0.62 ; Trie-index has 1,030 entries (1,030 at peak, 1,038 added, 8 deleted).
% 0.40/0.62 ; Trie-index has 3,368 nodes (3,368 at peak, 3,381 added, 13 deleted).
% 0.40/0.62 ; Retrieved 587 generalization terms in 1,873 calls.
% 0.40/0.62 ; Retrieved 260 instance terms in 238 calls.
% 0.40/0.62 ; Retrieved 16,632 unifiable terms in 1,272 calls.
% 0.40/0.62 ;
% 0.40/0.62 ; The agenda of rows to process has 70 entries:
% 0.40/0.62 ; 1 with value 6 1 with value 12 2 with value 17
% 0.40/0.62 ; 5 with value 9 12 with value 14 2 with value 19
% 0.40/0.62 ; 2 with value 10 16 with value 15 1 with value 21
% 0.40/0.62 ; 6 with value 11 21 with value 16 1 with value 25
% 0.40/0.62 ; The agenda of rows to give has 314 entries:
% 0.40/0.62 ; 4 with value (4 8) 3 with value (4 20) 2 with value (4 34)
% 0.40/0.62 ; 9 with value (4 9) 5 with value (4 21) 2 with value (4 37)
% 0.40/0.62 ; 24 with value (4 10) 3 with value (4 22) 1 with value (4 43)
% 0.40/0.62 ; 19 with value (4 11) 7 with value (4 23) 1 with value (4 44)
% 0.40/0.62 ; 21 with value (4 12) 5 with value (4 24) 1 with value (4 45)
% 0.40/0.62 ; 27 with value (4 13) 1 with value (4 25) 3 with value (4 46)
% 0.40/0.62 ; 45 with value (4 14) 4 with value (4 26) 1 with value (4 49)
% 0.40/0.62 ; 45 with value (4 15) 3 with value (4 29) 1 with value (4 51)
% 0.40/0.62 ; 23 with value (4 16) 3 with value (4 30) 1 with value (4 53)
% 0.40/0.62 ; 6 with value (4 17) 1 with value (4 31) 1 with value (4 59)
% 0.40/0.62 ; 20 with value (4 18) 1 with value (4 32) 1 with value (4 63)
% 0.40/0.62 ; 18 with value (4 19) 2 with value (4 33)
% 0.40/0.62 Evaluation took:
% 0.40/0.62 0.144 seconds of real time
% 0.40/0.62 0.127491 seconds of user run time
% 0.40/0.62 0.016175 seconds of system run time
% 0.40/0.62 0 calls to %EVAL
% 0.40/0.62 0 page faults and
% 0.40/0.62 8,000,656 bytes consed.
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T05:44:32
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 *
%------------------------------------------------------------------------------