%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET117-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 05:07:35 EDT 2022
% Result : Unsatisfiable 0.13s 0.51s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 11 ( 2 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 : 7 ( 7 usr; 2 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/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/SET004-0.ax',ordered_pair) ).
cnf(prove_corollary_1_to_ordered_pairs_are_sets_1,negated_conjecture,
ordered_pair(first(x),second(x)) = x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_ordered_pairs_are_sets_1) ).
cnf(prove_corollary_1_to_ordered_pairs_are_sets_2,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_1_to_ordered_pairs_are_sets_2) ).
cnf(133,plain,
~ member(x,X),
inference('UR-RESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,prove_corollary_1_to_ordered_pairs_are_sets_2]) ).
cnf(173,plain,
member(ordered_pair(X,Y),universal_class),
inference('PARAMODULATE',[status(thm)],[unordered_pairs_in_universal,ordered_pair,theory(equality)]) ).
cnf(445,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[173,prove_corollary_1_to_ordered_pairs_are_sets_1,theory(equality)]),133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SET117-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.00/0.09 % Command : run-snark %s %d
% 0.09/0.28 % Computer : n026.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Mon Jul 11 10:54:27 EDT 2022
% 0.09/0.28 % CPUTime :
% 0.13/0.36 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.37 *
% 0.13/0.37 *
% 0.13/0.37 #<PACKAGE "SNARK-USER">
% 0.13/0.37 *
% 0.13/0.38 SNARK-TPTP-OPTIONS
% 0.13/0.38 *
% 0.13/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38 (USE-FACTORING :POS)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38 *
% 0.13/0.38 "."
% 0.13/0.38 *
% 0.13/0.38 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:54:27
% 0.13/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-11T10:54:27
% 0.13/0.51
% 0.13/0.51
% 0.13/0.51 #||
% 0.13/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.51 % SZS output start Refutation
% See solution above
% 0.13/0.51 ||#
% 0.13/0.51
% 0.13/0.51 ; Summary of computation:
% 0.13/0.51 ; 918 formulas have been input or derived (from 108 formulas).
% 0.13/0.51 ; 445 (48%) were retained. Of these,
% 0.13/0.51 ; 20 ( 4%) were simplified or subsumed later,
% 0.13/0.51 ; 425 (96%) are still being kept.
% 0.13/0.51 ;
% 0.13/0.51 ; Run time in seconds excluding printing time:
% 0.13/0.51 ; 0.016 12% Read assertion file (1 call)
% 0.13/0.51 ; 0.002 2% Assert (93 calls)
% 0.13/0.51 ; 0.035 27% Process new row (772 calls)
% 0.13/0.51 ; 0.023 18% Resolution (214 calls)
% 0.13/0.51 ; 0.003 2% Paramodulation (107 calls)
% 0.13/0.51 ; 0.000 0% Factoring (3 calls)
% 0.13/0.51 ; 0.004 3% Condensing (206 calls)
% 0.13/0.51 ; 0.010 8% Forward subsumption (206 calls)
% 0.13/0.51 ; 0.004 3% Backward subsumption (193 calls)
% 0.13/0.51 ; 0.001 1% Clause clause subsumption (117 calls)
% 0.13/0.51 ; 0.008 6% Forward simplification (772 calls)
% 0.13/0.51 ; 0.004 3% Backward simplification (433 calls)
% 0.13/0.51 ; 0.002 2% Ordering (400 calls)
% 0.13/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.13/0.51 ; 0.000 0% Purity testing (1 call)
% 0.13/0.51 ; 0.018 14% Other
% 0.13/0.51 ; 0.130 Total
% 0.13/0.51 ; 0.132 Real time
% 0.13/0.51 ;
% 0.13/0.51 ; Term-hash-array has 1,051 terms in all.
% 0.13/0.51 ; Feature-vector-row-index has 190 entries (190 at peak, 193 added, 3 deleted).
% 0.13/0.51 ; Feature-vector-row-index has 1,300 nodes (1,300 at peak, 1,342 added, 42 deleted).
% 0.13/0.51 ; Retrieved 108 possibly forward subsuming rows in 206 calls.
% 0.13/0.51 ; Retrieved 34 possibly backward subsumed rows in 193 calls.
% 0.13/0.51 ; Path-index has 1,049 entries (1,049 at peak, 1,060 added, 11 deleted).
% 0.13/0.51 ; Path-index has 2,943 nodes (2,943 at peak, 2,952 added, 9 deleted).
% 0.13/0.51 ; Trie-index has 1,049 entries (1,049 at peak, 1,060 added, 11 deleted).
% 0.13/0.51 ; Trie-index has 3,419 nodes (3,419 at peak, 3,441 added, 22 deleted).
% 0.13/0.51 ; Retrieved 611 generalization terms in 1,944 calls.
% 0.13/0.51 ; Retrieved 263 instance terms in 239 calls.
% 0.13/0.51 ; Retrieved 16,883 unifiable terms in 1,266 calls.
% 0.13/0.51 ;
% 0.13/0.51 ; The agenda of rows to process has 63 entries:
% 0.13/0.51 ; 1 with value 9 12 with value 14 2 with value 19
% 0.13/0.51 ; 1 with value 10 16 with value 15 1 with value 21
% 0.13/0.51 ; 6 with value 11 21 with value 16 1 with value 25
% 0.13/0.51 ; 1 with value 12 1 with value 17
% 0.13/0.51 ; The agenda of rows to give has 318 entries:
% 0.13/0.51 ; 4 with value (4 8) 3 with value (4 20) 2 with value (4 34)
% 0.13/0.51 ; 10 with value (4 9) 5 with value (4 21) 2 with value (4 37)
% 0.13/0.51 ; 24 with value (4 10) 5 with value (4 22) 2 with value (4 39)
% 0.13/0.51 ; 22 with value (4 11) 7 with value (4 23) 1 with value (4 43)
% 0.13/0.51 ; 20 with value (4 12) 5 with value (4 24) 1 with value (4 44)
% 0.13/0.51 ; 27 with value (4 13) 1 with value (4 25) 1 with value (4 45)
% 0.13/0.51 ; 42 with value (4 14) 4 with value (4 26) 3 with value (4 46)
% 0.13/0.51 ; 45 with value (4 15) 3 with value (4 29) 1 with value (4 49)
% 0.13/0.51 ; 23 with value (4 16) 3 with value (4 30) 1 with value (4 51)
% 0.13/0.51 ; 6 with value (4 17) 1 with value (4 31) 1 with value (4 53)
% 0.13/0.51 ; 20 with value (4 18) 1 with value (4 32) 1 with value (4 59)
% 0.13/0.51 ; 18 with value (4 19) 2 with value (4 33) 1 with value (4 63)
% 0.13/0.51 Evaluation took:
% 0.13/0.51 0.132 seconds of real time
% 0.13/0.51 0.121646 seconds of user run time
% 0.13/0.51 0.010024 seconds of system run time
% 0.13/0.51 0 calls to %EVAL
% 0.13/0.51 0 page faults and
% 0.13/0.51 8,260,800 bytes consed.
% 0.13/0.51 :PROOF-FOUND
% 0.13/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:54:27
% 0.13/0.51 :PROOF-FOUND
% 0.13/0.51 *
%------------------------------------------------------------------------------