TSTP Solution File: SEU165+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU165+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 14:19:44 EDT 2022
% Result : Theorem 11.36s 11.54s
% Output : Refutation 11.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 4 unt; 2 nHn; 11 RR)
% Number of literals : 22 ( 2 equ; 12 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(28,axiom,
( X != cartesian_product2(Y,Z)
| in(U,X)
| ~ in(V,Y)
| ~ in(W,Z)
| U != ordered_pair(V,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_zfmisc_1) ).
cnf(77,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(78,axiom,
( ~ in(ordered_pair(X,Y),cartesian_product2(Z,U))
| in(Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(83,negated_conjecture,
( ~ in(ordered_pair('SKOLEMAAAV19','SKOLEMAAAV20'),cartesian_product2('SKOLEMAAAV21','SKOLEMAAAV22'))
| ~ in('SKOLEMAAAV19','SKOLEMAAAV21')
| ~ in('SKOLEMAAAV20','SKOLEMAAAV22') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
cnf(84,negated_conjecture,
( in(ordered_pair('SKOLEMAAAV19','SKOLEMAAAV20'),cartesian_product2('SKOLEMAAAV21','SKOLEMAAAV22'))
| in('SKOLEMAAAV19','SKOLEMAAAV21') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
cnf(85,negated_conjecture,
( in(ordered_pair('SKOLEMAAAV19','SKOLEMAAAV20'),cartesian_product2('SKOLEMAAAV21','SKOLEMAAAV22'))
| in('SKOLEMAAAV20','SKOLEMAAAV22') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t106_zfmisc_1) ).
cnf(249,plain,
in('SKOLEMAAAV19','SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[77,84]) ).
cnf(250,plain,
( ~ in(ordered_pair('SKOLEMAAAV19','SKOLEMAAAV20'),cartesian_product2('SKOLEMAAAV21','SKOLEMAAAV22'))
| ~ in('SKOLEMAAAV20','SKOLEMAAAV22') ),
inference('REWRITE',[status(thm)],[83,249]) ).
cnf(251,plain,
in('SKOLEMAAAV20','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[78,85]) ).
cnf(252,plain,
~ in(ordered_pair('SKOLEMAAAV19','SKOLEMAAAV20'),cartesian_product2('SKOLEMAAAV21','SKOLEMAAAV22')),
inference('REWRITE',[status(thm)],[250,251]) ).
cnf(4054,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[28,249,252,theory(equality),theory(equality)]),251]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU165+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n018.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 Jun 19 21:37:19 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T21:37:19
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-19T21:37:19
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.19/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.50 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.19/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.19/0.50 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.19/0.50 ; Declaring unordered_pair to be commutative.
% 0.19/0.50 ; Declaring set_union2 to be commutative.
% 0.19/0.50 ; Declaring set_intersection2 to be commutative.
% 11.36/11.54 ; Declaring disjoint to be commutative.
% 11.36/11.54
% 11.36/11.54 #||
% 11.36/11.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.36/11.54 % SZS output start Refutation
% See solution above
% 11.36/11.57 ||#
% 11.36/11.57
% 11.36/11.57 ; Summary of computation:
% 11.36/11.57 ; 42039 formulas have been input or derived (from 138 formulas).
% 11.36/11.57 ; 4054 (10%) were retained. Of these,
% 11.36/11.57 ; 63 ( 2%) were simplified or subsumed later,
% 11.36/11.57 ; 3991 (98%) are still being kept.
% 11.36/11.57 ;
% 11.36/11.57 ; Run time in seconds excluding printing time:
% 11.36/11.57 ; 0.016 0% Read assertion file (1 call)
% 11.36/11.57 ; 0.007 0% Assert (95 calls)
% 11.36/11.57 ; 0.592 5% Process new row (38,784 calls)
% 11.36/11.57 ; 4.588 41% Resolution (274 calls)
% 11.36/11.57 ; 0.004 0% Paramodulation (137 calls)
% 11.36/11.57 ; 0.000 0% Factoring (26 calls)
% 11.36/11.57 ; 0.725 7% Condensing (36,542 calls)
% 11.36/11.57 ; 2.364 21% Forward subsumption (36,542 calls)
% 11.36/11.57 ; 0.149 1% Backward subsumption (3,921 calls)
% 11.36/11.57 ; 0.771 7% Clause clause subsumption (125,171 calls)
% 11.36/11.57 ; 1.490 13% Forward simplification (38,767 calls)
% 11.36/11.57 ; 0.013 0% Backward simplification (4,051 calls)
% 11.36/11.57 ; 0.175 2% Ordering (83,226 calls)
% 11.36/11.57 ; 0.001 0% Sortal reasoning (32 calls)
% 11.36/11.57 ; 0.000 0% Purity testing (1 call)
% 11.36/11.57 ; 0.176 2% Other
% 11.36/11.57 ; 11.071 Total
% 11.36/11.57 ; 11.102 Real time
% 11.36/11.57 ;
% 11.36/11.57 ; Term-hash-array has 9,605 terms in all.
% 11.36/11.57 ; Feature-vector-row-index has 3,874 entries (3,874 at peak, 3,921 added, 47 deleted).
% 11.36/11.57 ; Feature-vector-row-index has 12,222 nodes (12,222 at peak, 12,436 added, 214 deleted).
% 11.36/11.57 ; Retrieved 416,720 possibly forward subsuming rows in 36,542 calls.
% 11.36/11.57 ; Retrieved 11,321 possibly backward subsumed rows in 3,921 calls.
% 11.36/11.57 ; Path-index has 9,580 entries (9,580 at peak, 9,742 added, 162 deleted).
% 11.36/11.57 ; Path-index has 14,389 nodes (14,389 at peak, 14,498 added, 109 deleted).
% 11.36/11.57 ; Trie-index has 9,580 entries (9,580 at peak, 9,742 added, 162 deleted).
% 11.36/11.57 ; Trie-index has 25,858 nodes (25,858 at peak, 26,269 added, 411 deleted).
% 11.36/11.57 ; Retrieved 176,579 generalization terms in 353,063 calls.
% 11.36/11.57 ; Retrieved 212 instance terms in 130 calls.
% 11.36/11.57 ; Retrieved 7,910,436 unifiable terms in 12,398 calls.
% 11.36/11.57 ;
% 11.36/11.57 ; The agenda of rows to process has 2196 entries:
% 11.36/11.57 ; 3 with value 6 43 with value 22 63 with value 37
% 11.36/11.57 ; 10 with value 8 73 with value 23 112 with value 38
% 11.36/11.57 ; 24 with value 9 60 with value 24 65 with value 39
% 11.36/11.57 ; 3 with value 10 82 with value 25 61 with value 40
% 11.36/11.57 ; 12 with value 11 52 with value 26 55 with value 41
% 11.36/11.57 ; 23 with value 12 68 with value 27 48 with value 42
% 11.36/11.57 ; 11 with value 13 66 with value 28 77 with value 43
% 11.36/11.57 ; 25 with value 14 73 with value 29 52 with value 44
% 11.36/11.57 ; 30 with value 15 90 with value 30 37 with value 45
% 11.36/11.57 ; 37 with value 16 65 with value 31 25 with value 46
% 11.36/11.57 ; 53 with value 17 98 with value 32 17 with value 47
% 11.36/11.57 ; 44 with value 18 103 with value 33 27 with value 48
% 11.36/11.57 ; 18 with value 19 82 with value 34 10 with value 49
% 11.36/11.57 ; 38 with value 20 114 with value 35 9 with value 50
% 11.36/11.57 ; 40 with value 21 96 with value 36 2 with value 51
% 11.36/11.57 ; The agenda of rows to give has 3856 entries:
% 11.36/11.57 ; 2 with value (4 5) 79 with value (4 33) 42 with value (4 60)
% 11.36/11.57 ; 5 with value (4 6) 116 with value (4 34) 39 with value (4 61)
% 11.36/11.57 ; 6 with value (4 7) 97 with value (4 35) 31 with value (4 62)
% 11.36/11.57 ; 8 with value (4 8) 73 with value (4 36) 47 with value (4 63)
% 11.36/11.57 ; 16 with value (4 9) 107 with value (4 37) 37 with value (4 64)
% 11.36/11.57 ; 7 with value (4 10) 88 with value (4 38) 18 with value (4 65)
% 11.36/11.57 ; 14 with value (4 11) 114 with value (4 39) 36 with value (4 66)
% 11.36/11.57 ; 22 with value (4 12) 86 with value (4 40) 26 with value (4 67)
% 11.36/11.57 ; 30 with value (4 13) 87 with value (4 41) 17 with value (4 68)
% 11.36/11.57 ; 14 with value (4 14) 123 with value (4 42) 16 with value (4 69)
% 11.36/11.57 ; 22 with value (4 15) 113 with value (4 43) 14 with value (4 70)
% 11.36/11.57 ; 36 with value (4 16) 87 with value (4 44) 22 with value (4 71)
% 11.36/11.57 ; 25 with value (4 17) 119 with value (4 45) 24 with value (4 72)
% 11.36/11.57 ; 29 with value (4 18) 82 with value (4 46) 15 with value (4 73)
% 11.36/11.57 ; 37 with value (4 19) 108 with value (4 47) 17 with value (4 74)
% 11.36/11.57 ; 33 with value (4 20) 83 with value (4 48) 6 with value (4 75)
% 11.36/11.57 ; 45 with value (4 21) 77 with value (4 49) 7 with value (4 76)
% 11.36/11.57 ; 42 with value (4 22) 120 with value (4 50) 11 with value (4 77)
% 11.36/11.57 ; 44 with value (4 23) 64 with value (4 51) 7 with value (4 78)
% 11.36/11.57 ; 27 with value (4 24) 77 with value (4 52) 4 with value (4 79)
% 11.36/11.57 ; 50 with value (4 25) 74 with value (4 53) 1 with value (4 80)
% 11.36/11.57 ; 63 with value (4 26) 73 with value (4 54) 1 with value (4 81)
% 11.36/11.57 ; 33 with value (4 27) 102 with value (4 55) 4 with value (4 83)
% 11.36/11.57 ; 81 with value (4 28) 62 with value (4 56) 10 with value (4 84)
% 11.36/11.57 ; 58 with value (4 29) 59 with value (4 57) 6 with value (4 85)
% 11.36/11.57 ; 84 with value (4 30) 88 with value (4 58) 2 with value (4 86)
% 11.36/11.57 ; 90 with value (4 31) 45 with value (4 59) 3 with value (4 87)
% 11.36/11.57 ; 67 with value (4 32)
% 11.36/11.57 Evaluation took:
% 11.36/11.57 11.103 seconds of real time
% 11.36/11.57 10.521182 seconds of user run time
% 11.36/11.57 0.582049 seconds of system run time
% 11.36/11.57 [Run times include 0.785 seconds GC run time.]
% 11.36/11.57 0 calls to %EVAL
% 11.36/11.57 0 page faults and
% 11.36/11.57 768,434,584 bytes consed.
% 11.36/11.57 :PROOF-FOUND
% 11.36/11.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T21:37:31
% 11.36/11.57 :PROOF-FOUND
% 11.36/11.57 *
%------------------------------------------------------------------------------