%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW672_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 : Thu Jul 21 01:25:34 EDT 2022
% Result : Theorem 6.43s 6.65s
% Output : Refutation 6.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of formulae : 26 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 143 ( 5 equ)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 33 ( 17 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 101 ( 101 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 27 ( 25 usr; 14 prp; 0-4 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 36 ( 0 sgn 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(25,axiom,
! [X: ty,Y: uni,Z: uni] :
( mem(X,'SKOLEMAAAW1.uni'(X,Y,Z),Y)
| mem(X,'SKOLEMAAAW1.uni'(X,Y,Z),Z)
| infix_eqeq(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infix_eqeq_def) ).
tff(26,axiom,
! [X: ty,Y: uni,Z: uni] :
( ~ sort1(set(X),Y)
| ~ sort1(set(X),Z)
| ~ infix_eqeq(X,Y,Z)
| ( Y = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality) ).
tff(33,axiom,
! [X: ty] : sort1(set(X),empty(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_sort1) ).
tff(34,axiom,
! [X: ty,Y: uni,Z: uni] :
( ~ is_empty(X,Y)
| ~ mem(X,Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',is_empty_def) ).
tff(38,axiom,
! [X: ty,Y: uni] : ~ mem(X,Y,empty(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mem_empty) ).
tff(73,axiom,
! [X: set_vertex] : sort1(set(vertex),t2tb(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2tb_sort) ).
tff(523,axiom,
! [X: set_vertex,Y: set_vertex,Z: set_vertex,U: vertex1,V: vertex1] :
( ~ closure1(X,Y,Z,U)
| ~ mem(vertex,t2tb1(U),t2tb(X))
| mem(vertex,t2tb1(U),t2tb(Y))
| mem(vertex,t2tb1(U),t2tb(Z))
| ~ mem(vertex,t2tb1(V),t2tb(succ1(U)))
| mem(vertex,t2tb1(V),t2tb(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_def) ).
tff(524,axiom,
! [X: set_vertex,Y: set_vertex,Z: set_vertex,U: vertex1] :
( closure1(X,Y,Z,U)
| mem(vertex,t2tb1(U),t2tb(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_def) ).
tff(525,axiom,
! [X: set_vertex,Y: set_vertex,Z: set_vertex,U: vertex1] :
( closure1(X,Y,Z,U)
| ~ mem(vertex,t2tb1(U),t2tb(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_def) ).
tff(527,axiom,
! [X: set_vertex,Y: set_vertex,Z: set_vertex,U: vertex1] :
( closure1(X,Y,Z,U)
| mem(vertex,t2tb1('SKOLEMAAAW20.vertex1'(U,X)),t2tb(succ1(U))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_def) ).
tff(528,axiom,
! [X: set_vertex,Y: set_vertex,Z: set_vertex,U: vertex1] :
( closure1(X,Y,Z,U)
| ~ mem(vertex,t2tb1('SKOLEMAAAW20.vertex1'(U,X)),t2tb(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_def) ).
tff(545,negated_conjecture,
! [X: vertex1] : closure1('SKOLEMAAAW31.set_vertex','SKOLEMAAAW28.set_vertex','SKOLEMAAAW30.set_vertex',X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_bfs) ).
tff(546,negated_conjecture,
( ( 'SKOLEMAAAW32.bool1' != true1 )
| is_empty(vertex,t2tb('SKOLEMAAAW28.set_vertex')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_bfs) ).
tff(548,negated_conjecture,
'SKOLEMAAAW32.bool1' = true1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_bfs) ).
tff(549,negated_conjecture,
'SKOLEMAAAW33.set_vertex' = 'SKOLEMAAAW30.set_vertex',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_bfs) ).
tff(553,negated_conjecture,
~ closure1('SKOLEMAAAW31.set_vertex','SKOLEMAAAW33.set_vertex','SKOLEMAAAW34.set_vertex','SKOLEMAAAW36.vertex1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_bfs) ).
tff(554,plain,
~ closure1('SKOLEMAAAW31.set_vertex','SKOLEMAAAW30.set_vertex','SKOLEMAAAW34.set_vertex','SKOLEMAAAW36.vertex1'),
inference('REWRITE',[status(thm)],[553,549,theory(equality)]) ).
tff(555,plain,
is_empty(vertex,t2tb('SKOLEMAAAW28.set_vertex')),
inference('REWRITE',[status(thm)],[546,548,theory(equality)]) ).
tff(561,plain,
! [X: uni] : ~ mem(vertex,X,t2tb('SKOLEMAAAW28.set_vertex')),
inference('UR-RESOLVE',[status(thm)],[34,555]) ).
tff(650,plain,
mem(vertex,t2tb1('SKOLEMAAAW36.vertex1'),t2tb('SKOLEMAAAW31.set_vertex')),
inference('HYPERRESOLVE',[status(thm)],[554,524]) ).
tff(652,plain,
~ mem(vertex,t2tb1('SKOLEMAAAW36.vertex1'),t2tb('SKOLEMAAAW30.set_vertex')),
inference('UR-RESOLVE',[status(thm)],[525,554]) ).
tff(716,plain,
~ mem(vertex,t2tb1('SKOLEMAAAW20.vertex1'('SKOLEMAAAW36.vertex1','SKOLEMAAAW31.set_vertex')),t2tb('SKOLEMAAAW31.set_vertex')),
inference('UR-RESOLVE',[status(thm)],[528,554]) ).
tff(718,plain,
mem(vertex,t2tb1('SKOLEMAAAW20.vertex1'('SKOLEMAAAW36.vertex1','SKOLEMAAAW31.set_vertex')),t2tb(succ1('SKOLEMAAAW36.vertex1'))),
inference('HYPERRESOLVE',[status(thm)],[554,527]) ).
tff(2294,plain,
infix_eqeq(vertex,t2tb('SKOLEMAAAW28.set_vertex'),empty(vertex)),
inference('UR-RESOLVE',[status(thm)],[25,561,38]) ).
tff(5478,plain,
t2tb('SKOLEMAAAW28.set_vertex') = empty(vertex),
inference('HYPERRESOLVE',[status(thm)],[26,2294,73,33]) ).
cnf(6586,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[523,718,545,650,652,716]),38,5478,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW672_2 : TPTP v8.1.0. Released v6.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 4 23:34:11 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-06-04T23:34:12
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-04T23:34:12
% 0.19/0.52 WARNING: Cannot use equality or equivalence (= ?X.tuple02 tuple03) as rewrite.
% 6.43/6.65
% 6.43/6.65
% 6.43/6.65 #||
% 6.43/6.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.43/6.65 % SZS output start Refutation
% See solution above
% 6.43/6.65 ||#
% 6.43/6.65
% 6.43/6.65 ; Summary of computation:
% 6.43/6.65 ; 11890 formulas have been input or derived (from 499 formulas).
% 6.43/6.65 ; 6586 (55%) were retained. Of these,
% 6.43/6.65 ; 542 ( 8%) were simplified or subsumed later,
% 6.43/6.65 ; 6044 (92%) are still being kept.
% 6.43/6.65 ;
% 6.43/6.65 ; Run time in seconds excluding printing time:
% 6.43/6.65 ; 0.025 0% Read assertion file (1 call)
% 6.43/6.65 ; 0.014 0% Assert (59 calls)
% 6.43/6.65 ; 0.894 14% Process new row (10,924 calls)
% 6.43/6.65 ; 1.388 22% Resolution (996 calls)
% 6.43/6.65 ; 0.040 1% Paramodulation (498 calls)
% 6.43/6.65 ; 0.001 0% Factoring (18 calls)
% 6.43/6.65 ; 0.123 2% Condensing (6,958 calls)
% 6.43/6.65 ; 2.311 37% Forward subsumption (6,958 calls)
% 6.43/6.65 ; 0.455 7% Backward subsumption (5,439 calls)
% 6.43/6.65 ; 0.123 2% Clause clause subsumption (21,032 calls)
% 6.43/6.65 ; 0.666 11% Forward simplification (10,910 calls)
% 6.43/6.65 ; 0.023 0% Backward simplification (6,395 calls)
% 6.43/6.65 ; 0.036 1% Ordering (27,345 calls)
% 6.43/6.65 ; 0.001 0% Ordering ac (590 calls)
% 6.43/6.65 ; 0.020 0% Sortal reasoning (28,396 calls)
% 6.43/6.65 ; 0.002 0% Purity testing (1 call)
% 6.43/6.65 ; 0.067 1% Other
% 6.43/6.65 ; 6.189 Total
% 6.43/6.65 ; 6.192 Real time
% 6.43/6.65 ;
% 6.43/6.66 ; Term-hash-array has 6,937 terms in all.
% 6.43/6.66 ; Feature-vector-row-index has 5,141 entries (5,141 at peak, 5,439 added, 298 deleted).
% 6.43/6.66 ; Feature-vector-row-index has 92,541 nodes (92,541 at peak, 98,130 added, 5,589 deleted).
% 6.43/6.66 ; Retrieved 28,789 possibly forward subsuming rows in 6,958 calls.
% 6.43/6.66 ; Retrieved 5,669 possibly backward subsumed rows in 5,439 calls.
% 6.43/6.66 ; Path-index has 6,849 entries (6,849 at peak, 7,173 added, 324 deleted).
% 6.43/6.66 ; Path-index has 10,214 nodes (10,214 at peak, 10,463 added, 249 deleted).
% 6.43/6.66 ; Trie-index has 6,849 entries (6,849 at peak, 7,173 added, 324 deleted).
% 6.43/6.66 ; Trie-index has 20,489 nodes (20,489 at peak, 20,949 added, 460 deleted).
% 6.43/6.66 ; Retrieved 59,949 generalization terms in 145,190 calls.
% 6.43/6.66 ; Retrieved 1,188 instance terms in 955 calls.
% 6.43/6.66 ; Retrieved 1,154,551 unifiable terms in 83,757 calls.
% 6.43/6.66 ;
% 6.43/6.66 ; The agenda of rows to process has 402 entries:
% 6.43/6.66 ; 1 with value 10 3 with value 49 8 with value 107
% 6.43/6.66 ; 1 with value 11 1 with value 52 4 with value 108
% 6.43/6.66 ; 12 with value 12 1 with value 56 9 with value 109
% 6.43/6.66 ; 1 with value 13 1 with value 60 4 with value 110
% 6.43/6.66 ; 5 with value 14 1 with value 73 6 with value 111
% 6.43/6.66 ; 12 with value 15 1 with value 79 3 with value 112
% 6.43/6.66 ; 1 with value 17 5 with value 86 12 with value 113
% 6.43/6.66 ; 5 with value 18 4 with value 87 6 with value 114
% 6.43/6.66 ; 6 with value 19 5 with value 88 6 with value 115
% 6.43/6.66 ; 7 with value 20 8 with value 89 10 with value 116
% 6.43/6.66 ; 1 with value 21 8 with value 90 10 with value 117
% 6.43/6.66 ; 5 with value 22 10 with value 91 4 with value 118
% 6.43/6.66 ; 4 with value 23 10 with value 92 2 with value 119
% 6.43/6.66 ; 4 with value 24 12 with value 93 6 with value 120
% 6.43/6.66 ; 1 with value 26 5 with value 94 2 with value 121
% 6.43/6.66 ; 3 with value 27 7 with value 95 1 with value 122
% 6.43/6.66 ; 1 with value 28 10 with value 96 1 with value 123
% 6.43/6.66 ; 3 with value 29 5 with value 97 3 with value 124
% 6.43/6.66 ; 2 with value 30 6 with value 98 1 with value 125
% 6.43/6.66 ; 2 with value 31 6 with value 99 2 with value 126
% 6.43/6.66 ; 2 with value 33 8 with value 100 1 with value 127
% 6.43/6.66 ; 4 with value 35 13 with value 101 2 with value 128
% 6.43/6.66 ; 1 with value 37 18 with value 102 1 with value 129
% 6.43/6.66 ; 2 with value 38 11 with value 103 1 with value 130
% 6.43/6.66 ; 1 with value 39 13 with value 104 1 with value 131
% 6.43/6.66 ; 1 with value 41 19 with value 105 1 with value 133
% 6.43/6.66 ; 2 with value 48 14 with value 106
% 6.43/6.66 ; The agenda of rows to give has 5558 entries:
% 6.43/6.66 ; 1 with value (4 8) 37 with value (4 54) 82 with value (4 96)
% 6.43/6.66 ; 24 with value (4 13) 48 with value (4 55) 71 with value (4 97)
% 6.43/6.66 ; 111 with value (4 14) 19 with value (4 56) 62 with value (4 98)
% 6.43/6.66 ; 70 with value (4 15) 6 with value (4 57) 71 with value (4 99)
% 6.43/6.66 ; 74 with value (4 16) 29 with value (4 58) 77 with value (4 100)
% 6.43/6.66 ; 98 with value (4 17) 53 with value (4 59) 111 with value (4 101)
% 6.43/6.66 ; 86 with value (4 18) 29 with value (4 60) 67 with value (4 102)
% 6.43/6.66 ; 127 with value (4 19) 33 with value (4 61) 70 with value (4 103)
% 6.43/6.66 ; 85 with value (4 20) 2 with value (4 62) 60 with value (4 104)
% 6.43/6.66 ; 97 with value (4 21) 8 with value (4 63) 62 with value (4 105)
% 6.43/6.66 ; 73 with value (4 22) 14 with value (4 64) 73 with value (4 106)
% 6.43/6.66 ; 68 with value (4 23) 1 with value (4 65) 56 with value (4 107)
% 6.43/6.66 ; 46 with value (4 24) 31 with value (4 66) 42 with value (4 108)
% 6.43/6.66 ; 46 with value (4 25) 72 with value (4 67) 30 with value (4 109)
% 6.43/6.66 ; 16 with value (4 26) 29 with value (4 68) 29 with value (4 110)
% 6.43/6.66 ; 70 with value (4 27) 16 with value (4 69) 34 with value (4 111)
% 6.43/6.66 ; 49 with value (4 28) 55 with value (4 70) 66 with value (4 112)
% 6.43/6.66 ; 63 with value (4 29) 70 with value (4 71) 35 with value (4 113)
% 6.43/6.66 ; 24 with value (4 30) 28 with value (4 72) 40 with value (4 114)
% 6.43/6.66 ; 24 with value (4 31) 23 with value (4 73) 13 with value (4 115)
% 6.43/6.66 ; 35 with value (4 32) 50 with value (4 74) 15 with value (4 116)
% 6.43/6.66 ; 46 with value (4 33) 51 with value (4 75) 16 with value (4 117)
% 6.43/6.66 ; 18 with value (4 34) 13 with value (4 76) 18 with value (4 118)
% 6.43/6.66 ; 43 with value (4 35) 41 with value (4 77) 11 with value (4 119)
% 6.43/6.66 ; 32 with value (4 36) 114 with value (4 78) 15 with value (4 120)
% 6.43/6.66 ; 44 with value (4 37) 96 with value (4 79) 7 with value (4 121)
% 6.43/6.66 ; 23 with value (4 38) 53 with value (4 80) 14 with value (4 122)
% 6.43/6.66 ; 43 with value (4 39) 77 with value (4 81) 19 with value (4 123)
% 6.43/6.66 ; 33 with value (4 40) 110 with value (4 82) 15 with value (4 124)
% 6.43/6.66 ; 53 with value (4 41) 76 with value (4 83) 15 with value (4 125)
% 6.43/6.66 ; 38 with value (4 42) 71 with value (4 84) 5 with value (4 126)
% 6.43/6.66 ; 13 with value (4 43) 54 with value (4 85) 2 with value (4 127)
% 6.43/6.66 ; 25 with value (4 44) 56 with value (4 86) 1 with value (4 129)
% 6.43/6.66 ; 1 with value (4 45) 26 with value (4 87) 1 with value (4 130)
% 6.43/6.66 ; 44 with value (4 46) 39 with value (4 88) 1 with value (4 131)
% 6.43/6.66 ; 17 with value (4 47) 105 with value (4 89) 1 with value (4 132)
% 6.43/6.66 ; 37 with value (4 48) 117 with value (4 90) 3 with value (4 133)
% 6.43/6.66 ; 8 with value (4 49) 81 with value (4 91) 1 with value (4 134)
% 6.43/6.66 ; 23 with value (4 50) 93 with value (4 92) 4 with value (4 135)
% 6.43/6.66 ; 21 with value (4 51) 124 with value (4 93) 1 with value (4 136)
% 6.43/6.66 ; 56 with value (4 52) 111 with value (4 94) 2 with value (4 137)
% 6.43/6.66 ; 43 with value (4 53) 131 with value (4 95)
% 6.43/6.66 Evaluation took:
% 6.43/6.66 6.2 seconds of real time
% 6.43/6.66 5.884948 seconds of user run time
% 6.43/6.66 0.313902 seconds of system run time
% 6.43/6.66 [Run times include 0.68 seconds GC run time.]
% 6.43/6.66 0 calls to %EVAL
% 6.43/6.66 0 page faults and
% 6.43/6.66 598,037,184 bytes consed.
% 6.43/6.66 :PROOF-FOUND
% 6.43/6.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-04T23:34:18
% 6.43/6.66 :PROOF-FOUND
% 6.43/6.66 *
%------------------------------------------------------------------------------