TSTP Solution File: SET767+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 05:12:01 EDT 2022
% Result : Theorem 132.10s 132.35s
% Output : Refutation 132.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 10 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( subset(X,Y)
| member('SKOLEMAAAV1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
cnf(3,axiom,
( subset(X,Y)
| ~ member('SKOLEMAAAV1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+0.ax',subset) ).
cnf(108,axiom,
( ~ member(X,equivalence_class(Y,Z,U))
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET006+2.ax',equivalence_class) ).
cnf(126,negated_conjecture,
~ subset(equivalence_class('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV22'),'SKOLEMAAAV21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thIII03) ).
cnf(133,plain,
member('SKOLEMAAAV1'(equivalence_class('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV22'),'SKOLEMAAAV21'),equivalence_class('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV22')),
inference('HYPERRESOLVE',[status(thm)],[126,2]) ).
cnf(134,plain,
~ member('SKOLEMAAAV1'(equivalence_class('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV22'),'SKOLEMAAAV21'),'SKOLEMAAAV21'),
inference('UR-RESOLVE',[status(thm)],[3,126]) ).
cnf(23107,plain,
~ member('SKOLEMAAAV1'(equivalence_class('SKOLEMAAAV23','SKOLEMAAAV21','SKOLEMAAAV22'),'SKOLEMAAAV21'),equivalence_class(X,'SKOLEMAAAV21',Y)),
inference('UR-RESOLVE',[status(thm)],[108,134]) ).
cnf(23108,plain,
$false,
inference('REWRITE',[status(thm)],[133,23107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET767+4 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 17:49:28 EDT 2022
% 0.13/0.34 % 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 2022-07-09T17:49:29
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-09T17:49:29
% 132.10/132.35
% 132.10/132.35
% 132.10/132.35 #||
% 132.10/132.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 132.10/132.35 % SZS output start Refutation
% See solution above
% 132.10/132.35 ||#
% 132.10/132.35
% 132.10/132.35 ; Summary of computation:
% 132.10/132.35 ; 366128 formulas have been input or derived (from 444 formulas).
% 132.10/132.35 ; 23108 ( 6%) were retained. Of these,
% 132.10/132.35 ; 9 ( 0%) were simplified or subsumed later,
% 132.10/132.35 ; 23099 (100%) are still being kept.
% 132.10/132.35 ;
% 132.10/132.35 ; Run time in seconds excluding printing time:
% 132.10/132.35 ; 0.006 0% Read assertion file (1 call)
% 132.10/132.35 ; 0.004 0% Assert (17 calls)
% 132.10/132.35 ; 4.353 3% Process new row (339,951 calls)
% 132.10/132.35 ; 60.454 46% Resolution (886 calls)
% 132.10/132.35 ; 0.006 0% Paramodulation (443 calls)
% 132.10/132.35 ; 0.000 0% Factoring (28 calls)
% 132.10/132.35 ; 1.551 1% Condensing (61,031 calls)
% 132.10/132.35 ; 47.134 36% Forward subsumption (61,031 calls)
% 132.10/132.35 ; 2.483 2% Backward subsumption (17,890 calls)
% 132.10/132.35 ; 2.446 2% Clause clause subsumption (585,831 calls)
% 132.10/132.35 ; 11.564 9% Forward simplification (339,951 calls)
% 132.10/132.35 ; 0.123 0% Backward simplification (23,108 calls)
% 132.10/132.35 ; 0.692 1% Ordering (177,712 calls)
% 132.10/132.35 ; 0.001 0% Sortal reasoning (32 calls)
% 132.10/132.35 ; 0.000 0% Purity testing (1 call)
% 132.10/132.35 ; 1.014 1% Other
% 132.10/132.35 ; 131.831 Total
% 132.10/132.35 ; 131.880 Real time
% 132.10/132.35 ;
% 132.10/132.36 ; Term-hash-array has 26,973 terms in all.
% 132.10/132.36 ; Feature-vector-row-index has 17,883 entries (17,883 at peak, 17,890 added, 7 deleted).
% 132.10/132.36 ; Feature-vector-row-index has 44,664 nodes (44,664 at peak, 44,689 added, 25 deleted).
% 132.10/132.36 ; Retrieved 3,598,377 possibly forward subsuming rows in 61,031 calls.
% 132.10/132.36 ; Retrieved 129,946 possibly backward subsumed rows in 17,890 calls.
% 132.10/132.36 ; Path-index has 26,961 entries (26,962 at peak, 26,978 added, 17 deleted).
% 132.10/132.36 ; Path-index has 55,139 nodes (55,141 at peak, 55,155 added, 16 deleted).
% 132.10/132.36 ; Trie-index has 26,961 entries (26,962 at peak, 26,978 added, 17 deleted).
% 132.10/132.36 ; Trie-index has 137,954 nodes (137,957 at peak, 137,997 added, 43 deleted).
% 132.10/132.36 ; Retrieved 903,788 generalization terms in 2,021,339 calls.
% 132.10/132.36 ; Retrieved 5,371 instance terms in 5,217 calls.
% 132.10/132.36 ; Retrieved 57,739,362 unifiable terms in 250,413 calls.
% 132.10/132.36 ;
% 132.10/132.36 ; The agenda of rows to process has 87 entries:
% 132.10/132.36 ; 4 with value 16 22 with value 19 1 with value 23
% 132.10/132.36 ; 12 with value 17 36 with value 20 2 with value 24
% 132.10/132.36 ; 4 with value 18 1 with value 21 5 with value 27
% 132.10/132.36 ; The agenda of rows to give has 22655 entries:
% 132.10/132.36 ; 1 with value (4 8) 138 with value (4 62) 78 with value (4 113)
% 132.10/132.36 ; 2 with value (4 11) 108 with value (4 63) 72 with value (4 114)
% 132.10/132.36 ; 317 with value (4 12) 72 with value (4 64) 168 with value (4 116)
% 132.10/132.36 ; 443 with value (4 13) 32 with value (4 65) 184 with value (4 117)
% 132.10/132.36 ; 826 with value (4 14) 40 with value (4 66) 184 with value (4 118)
% 132.10/132.36 ; 1005 with value (4 15) 110 with value (4 67) 176 with value (4 119)
% 132.10/132.36 ; 442 with value (4 16) 78 with value (4 68) 50 with value (4 120)
% 132.10/132.36 ; 740 with value (4 17) 26 with value (4 69) 42 with value (4 121)
% 132.10/132.36 ; 762 with value (4 18) 82 with value (4 70) 72 with value (4 128)
% 132.10/132.36 ; 349 with value (4 19) 60 with value (4 71) 168 with value (4 129)
% 132.10/132.36 ; 72 with value (4 20) 164 with value (4 72) 180 with value (4 130)
% 132.10/132.36 ; 57 with value (4 21) 188 with value (4 73) 132 with value (4 131)
% 132.10/132.36 ; 58 with value (4 22) 28 with value (4 74) 72 with value (4 132)
% 132.10/132.36 ; 50 with value (4 23) 108 with value (4 75) 24 with value (4 133)
% 132.10/132.36 ; 19 with value (4 24) 108 with value (4 76) 24 with value (4 138)
% 132.10/132.36 ; 13 with value (4 25) 64 with value (4 77) 56 with value (4 139)
% 132.10/132.36 ; 23 with value (4 26) 220 with value (4 78) 60 with value (4 140)
% 132.10/132.36 ; 26 with value (4 27) 268 with value (4 79) 44 with value (4 141)
% 132.10/132.36 ; 86 with value (4 28) 124 with value (4 80) 360 with value (4 142)
% 132.10/132.36 ; 28 with value (4 29) 32 with value (4 81) 344 with value (4 143)
% 132.10/132.36 ; 72 with value (4 30) 20 with value (4 82) 168 with value (4 144)
% 132.10/132.36 ; 69 with value (4 31) 100 with value (4 83) 168 with value (4 145)
% 132.10/132.36 ; 51 with value (4 32) 350 with value (4 84) 48 with value (4 147)
% 132.10/132.36 ; 44 with value (4 33) 414 with value (4 85) 48 with value (4 148)
% 132.10/132.36 ; 155 with value (4 34) 264 with value (4 86) 144 with value (4 149)
% 132.10/132.36 ; 236 with value (4 35) 100 with value (4 87) 216 with value (4 150)
% 132.10/132.36 ; 62 with value (4 36) 12 with value (4 88) 144 with value (4 151)
% 132.10/132.36 ; 117 with value (4 37) 124 with value (4 89) 220 with value (4 152)
% 132.10/132.36 ; 211 with value (4 38) 112 with value (4 90) 148 with value (4 153)
% 132.10/132.36 ; 72 with value (4 39) 156 with value (4 91) 56 with value (4 154)
% 132.10/132.36 ; 106 with value (4 40) 232 with value (4 92) 56 with value (4 155)
% 132.10/132.36 ; 97 with value (4 41) 108 with value (4 93) 48 with value (4 159)
% 132.10/132.36 ; 132 with value (4 42) 72 with value (4 94) 72 with value (4 160)
% 132.10/132.36 ; 126 with value (4 43) 72 with value (4 95) 48 with value (4 161)
% 132.10/132.36 ; 32 with value (4 44) 66 with value (4 96) 540 with value (4 162)
% 132.10/132.36 ; 10 with value (4 45) 316 with value (4 97) 516 with value (4 163)
% 132.10/132.36 ; 18 with value (4 46) 286 with value (4 98) 252 with value (4 164)
% 132.10/132.36 ; 52 with value (4 47) 28 with value (4 99) 252 with value (4 165)
% 132.10/132.36 ; 20 with value (4 48) 96 with value (4 100) 168 with value (4 172)
% 132.10/132.36 ; 70 with value (4 49) 84 with value (4 101) 168 with value (4 173)
% 132.10/132.36 ; 58 with value (4 50) 172 with value (4 102) 156 with value (4 174)
% 132.10/132.36 ; 20 with value (4 51) 208 with value (4 103) 252 with value (4 175)
% 132.10/132.36 ; 26 with value (4 52) 160 with value (4 104) 144 with value (4 176)
% 132.10/132.36 ; 26 with value (4 53) 112 with value (4 105) 48 with value (4 177)
% 132.10/132.36 ; 64 with value (4 54) 28 with value (4 106) 336 with value (4 192)
% 132.10/132.36 ; 68 with value (4 55) 196 with value (4 107) 336 with value (4 193)
% 132.10/132.36 ; 58 with value (4 56) 192 with value (4 108) 144 with value (4 201)
% 132.10/132.36 ; 26 with value (4 57) 96 with value (4 109) 216 with value (4 202)
% 132.10/132.36 ; 22 with value (4 58) 96 with value (4 110) 72 with value (4 203)
% 132.10/132.36 ; 34 with value (4 59) 36 with value (4 111) 504 with value (4 218)
% 132.10/132.36 ; 28 with value (4 60) 18 with value (4 112) 504 with value (4 219)
% 132.10/132.36 ; 96 with value (4 61)
% 132.10/132.36 Evaluation took:
% 132.10/132.36 131.886 seconds of real time
% 132.10/132.36 128.50014 seconds of user run time
% 132.10/132.36 3.338698 seconds of system run time
% 132.10/132.36 [Run times include 14.619 seconds GC run time.]
% 132.10/132.36 0 calls to %EVAL
% 132.10/132.36 0 page faults and
% 132.10/132.36 10,363,614,992 bytes consed.
% 132.10/132.36 :PROOF-FOUND
% 132.10/132.36 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T17:51:40
% 132.10/132.36 :PROOF-FOUND
% 132.10/132.36 *
%------------------------------------------------------------------------------