TSTP Solution File: SET024-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET024-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 05:06:01 EDT 2022
% Result : Unsatisfiable 51.05s 51.28s
% Output : Refutation 51.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 2 equ; 3 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(non_ordered_pair2,axiom,
( member(X,non_ordered_pair(Y,Z))
| ~ little_set(X)
| X != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',non_ordered_pair2) ).
cnf(singleton_set,axiom,
singleton_set(X) = non_ordered_pair(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',singleton_set) ).
cnf(a_little_set,hypothesis,
little_set(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_little_set) ).
cnf(prove_membership_of_singleton_set,negated_conjecture,
~ member(a,singleton_set(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_membership_of_singleton_set) ).
cnf(369,plain,
member(a,non_ordered_pair(a,X)),
inference('HYPERRESOLVE',[status(thm)],[non_ordered_pair2,a_little_set,theory(equality)]) ).
cnf(8130,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[369,singleton_set,theory(equality)]),prove_membership_of_singleton_set]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET024-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 20:26:08 EDT 2022
% 0.20/0.34 % 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 2022-07-10T20:26:08
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-10T20:26:08
% 51.05/51.28
% 51.05/51.28
% 51.05/51.28 #||
% 51.05/51.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.05/51.28 % SZS output start Refutation
% See solution above
% 51.05/51.28 ||#
% 51.05/51.28
% 51.05/51.28 ; Summary of computation:
% 51.05/51.28 ; 50327 formulas have been input or derived (from 201 formulas).
% 51.05/51.28 ; 8130 (16%) were retained. Of these,
% 51.05/51.28 ; 135 ( 2%) were simplified or subsumed later,
% 51.05/51.28 ; 7995 (98%) are still being kept.
% 51.05/51.28 ;
% 51.05/51.28 ; Run time in seconds:
% 51.05/51.28 ; 0.029 0% Read assertion file (1 call)
% 51.05/51.28 ; 0.005 0% Assert (151 calls)
% 51.05/51.28 ; 0.919 2% Process new row (41,291 calls)
% 51.05/51.28 ; 47.741 94% Resolution (400 calls)
% 51.05/51.28 ; 0.016 0% Paramodulation (200 calls)
% 51.05/51.28 ; 0.000 0% Factoring (13 calls)
% 51.05/51.28 ; 0.179 0% Condensing (23,938 calls)
% 51.05/51.28 ; 0.856 2% Forward subsumption (23,938 calls)
% 51.05/51.28 ; 0.135 0% Backward subsumption (2,737 calls)
% 51.05/51.28 ; 0.077 0% Clause clause subsumption (25,067 calls)
% 51.05/51.28 ; 0.590 1% Forward simplification (38,243 calls)
% 51.05/51.28 ; 0.082 0% Backward simplification (8,100 calls)
% 51.05/51.28 ; 0.017 0% Ordering (8,781 calls)
% 51.05/51.28 ; 0.000 0% Sortal reasoning (32 calls)
% 51.05/51.28 ; 0.000 0% Purity testing (1 call)
% 51.05/51.28 ; 0.158 0% Other
% 51.05/51.28 ; 50.804 Total
% 51.05/51.28 ; 50.806 Real time
% 51.05/51.28 ;
% 51.05/51.28 ; Term-hash-array has 16,407 terms in all.
% 51.05/51.28 ; Feature-vector-row-index has 2,712 entries (2,712 at peak, 2,737 added, 25 deleted).
% 51.05/51.28 ; Feature-vector-row-index has 18,882 nodes (18,882 at peak, 19,219 added, 337 deleted).
% 51.05/51.28 ; Retrieved 44,377 possibly forward subsuming rows in 23,938 calls.
% 51.05/51.28 ; Retrieved 970 possibly backward subsumed rows in 2,737 calls.
% 51.05/51.28 ; Path-index has 16,302 entries (16,307 at peak, 16,414 added, 112 deleted).
% 51.05/51.28 ; Path-index has 16,698 nodes (16,703 at peak, 16,790 added, 92 deleted).
% 51.05/51.28 ; Trie-index has 16,302 entries (16,307 at peak, 16,414 added, 112 deleted).
% 51.05/51.28 ; Trie-index has 54,727 nodes (54,735 at peak, 55,077 added, 350 deleted).
% 51.05/51.28 ; Retrieved 67,728 generalization terms in 119,428 calls.
% 51.05/51.28 ; Retrieved 5,369 instance terms in 5,362 calls.
% 51.05/51.28 ; Retrieved 93,336,394 unifiable terms in 861,257 calls.
% 51.05/51.28 ;
% 51.05/51.28 ; The agenda of rows to process has 141 entries:
% 51.05/51.28 ; 3 with value 9 21 with value 15 14 with value 21
% 51.05/51.28 ; 4 with value 10 21 with value 16 16 with value 22
% 51.05/51.28 ; 5 with value 11 2 with value 17 2 with value 23
% 51.05/51.28 ; 4 with value 12 7 with value 18 2 with value 24
% 51.05/51.28 ; 4 with value 13 18 with value 20 2 with value 26
% 51.05/51.28 ; 16 with value 14
% 51.05/51.28 ; The agenda of rows to give has 7804 entries:
% 51.05/51.28 ; 36 with value (4 8) 680 with value (4 27) 43 with value (4 46)
% 51.05/51.28 ; 47 with value (4 9) 955 with value (4 28) 27 with value (4 47)
% 51.05/51.28 ; 36 with value (4 10) 530 with value (4 29) 2 with value (4 48)
% 51.05/51.28 ; 57 with value (4 11) 590 with value (4 30) 12 with value (4 49)
% 51.05/51.28 ; 37 with value (4 12) 270 with value (4 31) 6 with value (4 50)
% 51.05/51.28 ; 61 with value (4 13) 324 with value (4 32) 2 with value (4 51)
% 51.05/51.28 ; 127 with value (4 14) 210 with value (4 33) 8 with value (4 53)
% 51.05/51.28 ; 149 with value (4 15) 301 with value (4 34) 9 with value (4 56)
% 51.05/51.28 ; 93 with value (4 16) 149 with value (4 35) 2 with value (4 57)
% 51.05/51.28 ; 114 with value (4 17) 128 with value (4 36) 2 with value (4 58)
% 51.05/51.28 ; 175 with value (4 18) 22 with value (4 37) 2 with value (4 59)
% 51.05/51.28 ; 118 with value (4 19) 38 with value (4 38) 9 with value (4 61)
% 51.05/51.28 ; 203 with value (4 20) 28 with value (4 39) 4 with value (4 62)
% 51.05/51.28 ; 198 with value (4 21) 42 with value (4 40) 4 with value (4 65)
% 51.05/51.28 ; 155 with value (4 22) 26 with value (4 41) 4 with value (4 74)
% 51.05/51.28 ; 266 with value (4 23) 23 with value (4 42) 2 with value (4 88)
% 51.05/51.28 ; 284 with value (4 24) 25 with value (4 43) 4 with value (4 94)
% 51.05/51.28 ; 402 with value (4 25) 22 with value (4 44) 4 with value (4 105)
% 51.05/51.28 ; 699 with value (4 26) 38 with value (4 45)
% 51.05/51.28 Evaluation took:
% 51.05/51.28 50.809 seconds of real time
% 51.05/51.28 50.34536 seconds of user run time
% 51.05/51.28 0.461963 seconds of system run time
% 51.05/51.28 [Run times include 1.37 seconds GC run time.]
% 51.05/51.28 0 calls to %EVAL
% 51.05/51.28 0 page faults and
% 51.05/51.28 2,057,172,800 bytes consed.
% 51.05/51.28 :PROOF-FOUND
% 51.05/51.28 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T20:26:59
% 51.05/51.28 :PROOF-FOUND
% 51.05/51.28 *
%------------------------------------------------------------------------------