TSTP Solution File: SET073-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET073-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 05:06:54 EDT 2022
% Result : Unsatisfiable 0.59s 0.82s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 7 ( 1 equ; 2 neg)
% Maximal clause size : 2 ( 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; 4 con; 0-2 aty)
% Number of variables : 4 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
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(existence_of_null_class,axiom,
~ member(X,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_null_class) ).
cnf(prove_corollary_to_unordered_pair_axiom1_1,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_1) ).
cnf(prove_corollary_to_unordered_pair_axiom1_2,negated_conjecture,
unordered_pair(x,y) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom1_2) ).
cnf(148,plain,
member(x,unordered_pair(x,X)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair2,prove_corollary_to_unordered_pair_axiom1_1]) ).
cnf(1112,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[148,prove_corollary_to_unordered_pair_axiom1_2,theory(equality)]),existence_of_null_class]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET073-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 10:50:44 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T10:50:44
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-10T10:50:44
% 0.20/0.52
% 0.20/0.52 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.59/0.82 ; Declaring unordered_pair to be commutative.
% 0.59/0.82
% 0.59/0.82 #||
% 0.59/0.82 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.59/0.82 % SZS output start Refutation
% See solution above
% 0.59/0.82 ||#
% 0.59/0.82
% 0.59/0.82 ; Summary of computation:
% 0.59/0.82 ; 2526 formulas have been input or derived (from 140 formulas).
% 0.59/0.82 ; 1112 (44%) were retained. Of these,
% 0.59/0.82 ; 31 ( 3%) were simplified or subsumed later,
% 0.59/0.82 ; 1081 (97%) are still being kept.
% 0.59/0.82 ;
% 0.59/0.82 ; Run time in seconds excluding printing time:
% 0.59/0.82 ; 0.021 6% Read assertion file (1 call)
% 0.59/0.82 ; 0.004 1% Assert (117 calls)
% 0.59/0.82 ; 0.099 29% Process new row (2,215 calls)
% 0.59/0.82 ; 0.057 17% Resolution (278 calls)
% 0.59/0.82 ; 0.005 1% Paramodulation (139 calls)
% 0.59/0.82 ; 0.000 0% Factoring (8 calls)
% 0.59/0.82 ; 0.015 4% Condensing (785 calls)
% 0.59/0.82 ; 0.035 10% Forward subsumption (785 calls)
% 0.59/0.82 ; 0.013 4% Backward subsumption (570 calls)
% 0.59/0.82 ; 0.005 1% Clause clause subsumption (1,018 calls)
% 0.59/0.82 ; 0.033 10% Forward simplification (2,168 calls)
% 0.59/0.82 ; 0.003 1% Backward simplification (1,100 calls)
% 0.59/0.82 ; 0.006 2% Ordering (2,201 calls)
% 0.59/0.82 ; 0.000 0% Sortal reasoning (32 calls)
% 0.59/0.82 ; 0.000 0% Purity testing (1 call)
% 0.59/0.82 ; 0.040 12% Other
% 0.59/0.82 ; 0.336 Total
% 0.59/0.82 ; 0.337 Real time
% 0.59/0.82 ;
% 0.59/0.82 ; Term-hash-array has 1,992 terms in all.
% 0.59/0.82 ; Feature-vector-row-index has 555 entries (555 at peak, 570 added, 15 deleted).
% 0.59/0.82 ; Feature-vector-row-index has 2,620 nodes (2,620 at peak, 2,740 added, 120 deleted).
% 0.59/0.82 ; Retrieved 1,632 possibly forward subsuming rows in 785 calls.
% 0.59/0.82 ; Retrieved 301 possibly backward subsumed rows in 570 calls.
% 0.59/0.82 ; Path-index has 1,997 entries (1,997 at peak, 2,042 added, 45 deleted).
% 0.59/0.82 ; Path-index has 3,211 nodes (3,211 at peak, 3,247 added, 36 deleted).
% 0.59/0.82 ; Trie-index has 1,997 entries (1,997 at peak, 2,042 added, 45 deleted).
% 0.59/0.82 ; Trie-index has 5,658 nodes (5,658 at peak, 5,755 added, 97 deleted).
% 0.59/0.82 ; Retrieved 1,741 generalization terms in 6,581 calls.
% 0.59/0.82 ; Retrieved 551 instance terms in 529 calls.
% 0.59/0.82 ; Retrieved 51,003 unifiable terms in 2,173 calls.
% 0.59/0.82 ;
% 0.59/0.82 ; The agenda of rows to process has 116 entries:
% 0.59/0.82 ; 1 with value 8 20 with value 14 6 with value 20
% 0.59/0.82 ; 3 with value 9 40 with value 15 2 with value 22
% 0.59/0.82 ; 2 with value 10 16 with value 16 4 with value 23
% 0.59/0.82 ; 1 with value 11 3 with value 18 4 with value 25
% 0.59/0.82 ; 4 with value 12 2 with value 19 4 with value 27
% 0.59/0.82 ; 4 with value 13
% 0.59/0.82 ; The agenda of rows to give has 944 entries:
% 0.59/0.82 ; 19 with value (4 8) 23 with value (4 22) 7 with value (4 35)
% 0.59/0.82 ; 29 with value (4 9) 22 with value (4 23) 3 with value (4 37)
% 0.59/0.82 ; 52 with value (4 10) 41 with value (4 24) 1 with value (4 38)
% 0.59/0.82 ; 44 with value (4 11) 11 with value (4 25) 1 with value (4 42)
% 0.59/0.82 ; 28 with value (4 12) 29 with value (4 26) 1 with value (4 43)
% 0.59/0.82 ; 106 with value (4 13) 13 with value (4 27) 1 with value (4 44)
% 0.59/0.82 ; 132 with value (4 14) 7 with value (4 28) 1 with value (4 45)
% 0.59/0.82 ; 83 with value (4 15) 11 with value (4 29) 3 with value (4 46)
% 0.59/0.82 ; 35 with value (4 16) 11 with value (4 30) 1 with value (4 49)
% 0.59/0.82 ; 20 with value (4 17) 3 with value (4 31) 1 with value (4 51)
% 0.59/0.82 ; 53 with value (4 18) 9 with value (4 32) 1 with value (4 53)
% 0.59/0.82 ; 74 with value (4 19) 2 with value (4 33) 1 with value (4 59)
% 0.59/0.82 ; 21 with value (4 20) 2 with value (4 34) 1 with value (4 63)
% 0.59/0.82 ; 41 with value (4 21)
% 0.59/0.82 Evaluation took:
% 0.59/0.82 0.338 seconds of real time
% 0.59/0.82 0.308727 seconds of user run time
% 0.59/0.82 0.029283 seconds of system run time
% 0.59/0.82 [Run times include 0.014 seconds GC run time.]
% 0.59/0.82 0 calls to %EVAL
% 0.59/0.82 0 page faults and
% 0.59/0.82 21,012,856 bytes consed.
% 0.59/0.82 :PROOF-FOUND
% 0.59/0.82 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T10:50:44
% 0.59/0.82 :PROOF-FOUND
% 0.59/0.82 *
%------------------------------------------------------------------------------