%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET083-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 05:07:04 EDT 2022
% Result : Unsatisfiable 0.37s 0.60s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 7 unt; 1 nHn; 6 RR)
% Number of literals : 12 ( 5 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pair_member,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
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(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(prove_singleton_identified_by_element1_1,negated_conjecture,
singleton(x) = singleton(y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_1) ).
cnf(prove_singleton_identified_by_element1_2,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_2) ).
cnf(prove_singleton_identified_by_element1_3,negated_conjecture,
x != y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_singleton_identified_by_element1_3) ).
cnf(124,plain,
member(x,unordered_pair(x,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,prove_singleton_identified_by_element1_2]) ).
cnf(176,plain,
~ member(x,singleton(x)),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[unordered_pair_member,prove_singleton_identified_by_element1_3,prove_singleton_identified_by_element1_3]),prove_singleton_identified_by_element1_1,singleton_set,theory(equality)]) ).
cnf(493,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[124,singleton_set,theory(equality)]),176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET083-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 14:19:13 EDT 2022
% 0.12/0.34 % 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 2022-07-10T14:19:13
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-10T14:19:13
% 0.37/0.60
% 0.37/0.60
% 0.37/0.60 #||
% 0.37/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.60 % SZS output start Refutation
% See solution above
% 0.37/0.61 ||#
% 0.37/0.61
% 0.37/0.61 ; Summary of computation:
% 0.37/0.61 ; 978 formulas have been input or derived (from 111 formulas).
% 0.37/0.61 ; 493 (50%) were retained. Of these,
% 0.37/0.61 ; 13 ( 3%) were simplified or subsumed later,
% 0.37/0.61 ; 480 (97%) are still being kept.
% 0.37/0.61 ;
% 0.37/0.61 ; Run time in seconds excluding printing time:
% 0.37/0.61 ; 0.017 12% Read assertion file (1 call)
% 0.37/0.61 ; 0.003 2% Assert (94 calls)
% 0.37/0.61 ; 0.042 30% Process new row (840 calls)
% 0.37/0.61 ; 0.019 14% Resolution (220 calls)
% 0.37/0.61 ; 0.005 4% Paramodulation (110 calls)
% 0.37/0.61 ; 0.000 0% Factoring (3 calls)
% 0.37/0.61 ; 0.001 1% Condensing (210 calls)
% 0.37/0.61 ; 0.006 4% Forward subsumption (210 calls)
% 0.37/0.61 ; 0.008 6% Backward subsumption (197 calls)
% 0.37/0.61 ; 0.000 0% Clause clause subsumption (106 calls)
% 0.37/0.61 ; 0.010 7% Forward simplification (840 calls)
% 0.37/0.61 ; 0.003 2% Backward simplification (481 calls)
% 0.37/0.61 ; 0.004 3% Ordering (410 calls)
% 0.37/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.61 ; 0.000 0% Purity testing (1 call)
% 0.37/0.61 ; 0.022 16% Other
% 0.37/0.61 ; 0.140 Total
% 0.37/0.61 ; 0.142 Real time
% 0.37/0.61 ;
% 0.37/0.61 ; Term-hash-array has 1,139 terms in all.
% 0.37/0.61 ; Feature-vector-row-index has 197 entries (197 at peak, 197 added, 0 deleted).
% 0.37/0.61 ; Feature-vector-row-index has 1,197 nodes (1,197 at peak, 1,197 added, 0 deleted).
% 0.37/0.61 ; Retrieved 117 possibly forward subsuming rows in 210 calls.
% 0.37/0.61 ; Retrieved 55 possibly backward subsumed rows in 197 calls.
% 0.37/0.61 ; Path-index has 1,148 entries (1,148 at peak, 1,149 added, 1 deleted).
% 0.37/0.61 ; Path-index has 2,916 nodes (2,916 at peak, 2,917 added, 1 deleted).
% 0.37/0.61 ; Trie-index has 1,148 entries (1,148 at peak, 1,149 added, 1 deleted).
% 0.37/0.61 ; Trie-index has 3,612 nodes (3,612 at peak, 3,613 added, 1 deleted).
% 0.37/0.61 ; Retrieved 616 generalization terms in 2,235 calls.
% 0.37/0.61 ; Retrieved 301 instance terms in 283 calls.
% 0.37/0.61 ; Retrieved 17,736 unifiable terms in 1,334 calls.
% 0.37/0.61 ;
% 0.37/0.61 ; The agenda of rows to process has 64 entries:
% 0.37/0.61 ; 1 with value 9 4 with value 12 12 with value 16
% 0.37/0.61 ; 3 with value 10 16 with value 14 1 with value 18
% 0.37/0.61 ; 1 with value 11 24 with value 15 2 with value 19
% 0.37/0.61 ; The agenda of rows to give has 369 entries:
% 0.37/0.61 ; 11 with value (4 8) 3 with value (4 20) 2 with value (4 34)
% 0.37/0.61 ; 11 with value (4 9) 4 with value (4 21) 2 with value (4 37)
% 0.37/0.61 ; 35 with value (4 10) 3 with value (4 22) 1 with value (4 43)
% 0.37/0.61 ; 29 with value (4 11) 9 with value (4 23) 1 with value (4 44)
% 0.37/0.61 ; 25 with value (4 12) 5 with value (4 24) 1 with value (4 45)
% 0.37/0.61 ; 52 with value (4 13) 4 with value (4 26) 3 with value (4 46)
% 0.37/0.61 ; 51 with value (4 14) 3 with value (4 29) 1 with value (4 49)
% 0.37/0.61 ; 41 with value (4 15) 3 with value (4 30) 1 with value (4 51)
% 0.37/0.61 ; 14 with value (4 16) 2 with value (4 31) 1 with value (4 53)
% 0.37/0.61 ; 5 with value (4 17) 1 with value (4 32) 1 with value (4 59)
% 0.37/0.61 ; 25 with value (4 18) 2 with value (4 33) 1 with value (4 63)
% 0.37/0.61 ; 16 with value (4 19)
% 0.37/0.61 Evaluation took:
% 0.37/0.61 0.143 seconds of real time
% 0.37/0.61 0.132656 seconds of user run time
% 0.37/0.61 0.01032 seconds of system run time
% 0.37/0.61 0 calls to %EVAL
% 0.37/0.61 0 page faults and
% 0.37/0.61 8,442,240 bytes consed.
% 0.37/0.61 :PROOF-FOUND
% 0.37/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:19:13
% 0.37/0.61 :PROOF-FOUND
% 0.37/0.61 *
%------------------------------------------------------------------------------