TSTP Solution File: NUM612+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM612+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Mon Jul 18 14:12:13 EDT 2022
% Result : Theorem 55.52s 55.75s
% Output : Refutation 55.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 20 ( 14 unt; 0 nHn; 20 RR)
% Number of literals : 32 ( 8 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(12,axiom,
( ~ aSet0(X)
| ~ isFinite0(X)
| ~ aSubsetOf0(Y,X)
| isFinite0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
cnf(60,axiom,
( ~ aSet0(X)
| ~ aElementOf0(sbrdtbr0(X),szNzAzT0)
| isFinite0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
cnf(61,axiom,
( ~ aSet0(X)
| aElementOf0(sbrdtbr0(X),szNzAzT0)
| ~ isFinite0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
cnf(65,axiom,
( ~ aSet0(X)
| ~ isFinite0(X)
| ~ aElementOf0(Y,X)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X,Y))) = sbrdtbr0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).
cnf(140,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
cnf(2853,hypothesis,
aSet0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
cnf(2856,hypothesis,
sbrdtbr0(xQ) = xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
cnf(2865,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
cnf(2867,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
cnf(2868,hypothesis,
aSet0(xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
cnf(2876,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
cnf(2877,plain,
xP = sdtmndt0(xQ,xp),
inference('REWRITE',[status(thm)],[2876,2867,theory(equality)]) ).
cnf(2880,hypothesis,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5195) ).
cnf(2883,negated_conjecture,
( szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(2884,plain,
( szszuzczcdt0(sbrdtbr0(xP)) != xK
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference('REWRITE',[status(thm)],[2883,2856,theory(equality)]) ).
cnf(2975,plain,
isFinite0(xQ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[60,2856,theory(equality)]),140,2853]) ).
cnf(14614,plain,
isFinite0(xP),
inference('HYPERRESOLVE',[status(thm)],[12,2975,2853,2880]) ).
cnf(14643,plain,
szszuzczcdt0(sbrdtbr0(xP)) = xK,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[65,2975,2853,2865]),2856,2877,theory(equality)]) ).
cnf(14644,plain,
~ aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference('REWRITE',[status(thm)],[2884,14643,theory(equality)]) ).
cnf(14651,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[61,14644,2868]),14614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM612+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 : Tue Jul 5 22:21:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T22:21:48
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-05T22:21:48
% 55.52/55.75
% 55.52/55.75
% 55.52/55.75 #||
% 55.52/55.75 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.52/55.75 % SZS output start Refutation
% See solution above
% 55.52/55.75 ||#
% 55.52/55.75
% 55.52/55.75 ; Summary of computation:
% 55.52/55.75 ; 17883 formulas have been input or derived (from 2781 formulas).
% 55.52/55.75 ; 14651 (82%) were retained. Of these,
% 55.52/55.75 ; 333 ( 2%) were simplified or subsumed later,
% 55.52/55.75 ; 14318 (98%) are still being kept.
% 55.52/55.75 ;
% 55.52/55.75 ; Run time in seconds excluding printing time:
% 55.52/55.75 ; 0.046 0% Read assertion file (1 call)
% 55.52/55.75 ; 0.115 0% Assert (109 calls)
% 55.52/55.75 ; 1.821 3% Process new row (17,743 calls)
% 55.52/55.75 ; 42.731 77% Resolution (5,560 calls)
% 55.52/55.75 ; 0.674 1% Paramodulation (2,780 calls)
% 55.52/55.75 ; 0.365 1% Condensing (15,751 calls)
% 55.52/55.75 ; 7.233 13% Forward subsumption (15,751 calls)
% 55.52/55.75 ; 0.893 2% Backward subsumption (13,750 calls)
% 55.52/55.75 ; 0.098 0% Clause clause subsumption (14,327 calls)
% 55.52/55.75 ; 1.069 2% Forward simplification (17,743 calls)
% 55.52/55.75 ; 0.027 0% Backward simplification (14,604 calls)
% 55.52/55.75 ; 0.029 0% Ordering (20,392 calls)
% 55.52/55.75 ; 0.000 0% Sortal reasoning (32 calls)
% 55.52/55.75 ; 0.022 0% Purity testing (1 call)
% 55.52/55.75 ; 0.130 0% Other
% 55.52/55.75 ; 55.253 Total
% 55.52/55.75 ; 55.272 Real time
% 55.52/55.75 ;
% 55.57/55.77 ; Term-hash-array has 12,249 terms in all.
% 55.57/55.77 ; Feature-vector-row-index has 13,491 entries (13,491 at peak, 13,750 added, 259 deleted).
% 55.57/55.77 ; Feature-vector-row-index has 189,578 nodes (189,578 at peak, 192,980 added, 3,402 deleted).
% 55.57/55.77 ; Retrieved 31,181 possibly forward subsuming rows in 15,751 calls.
% 55.57/55.77 ; Retrieved 6,186 possibly backward subsumed rows in 13,750 calls.
% 55.57/55.77 ; Path-index has 12,175 entries (12,175 at peak, 12,372 added, 197 deleted).
% 55.57/55.77 ; Path-index has 3,638 nodes (3,638 at peak, 3,699 added, 61 deleted).
% 55.57/55.77 ; Trie-index has 12,175 entries (12,175 at peak, 12,372 added, 197 deleted).
% 55.57/55.77 ; Trie-index has 24,123 nodes (24,123 at peak, 24,498 added, 375 deleted).
% 55.57/55.77 ; Retrieved 14,320 generalization terms in 195,524 calls.
% 55.57/55.77 ; Retrieved 853 instance terms in 853 calls.
% 55.57/55.77 ; Retrieved 14,509,599 unifiable terms in 692,351 calls.
% 55.57/55.77 ;
% 55.57/55.77 ; The agenda of rows to process has 17 entries:
% 55.57/55.77 ; 4 with value 7 3 with value 9 1 with value 11
% 55.57/55.77 ; 3 with value 8 6 with value 10
% 55.57/55.77 ; The agenda of rows to give has 11538 entries:
% 55.57/55.77 ; 36 with value (4 5) 265 with value (4 41) 167 with value (4 77)
% 55.57/55.77 ; 35 with value (4 6) 224 with value (4 42) 169 with value (4 78)
% 55.57/55.77 ; 61 with value (4 7) 164 with value (4 43) 206 with value (4 79)
% 55.57/55.77 ; 202 with value (4 8) 42 with value (4 44) 152 with value (4 80)
% 55.57/55.77 ; 191 with value (4 9) 80 with value (4 45) 159 with value (4 81)
% 55.57/55.77 ; 63 with value (4 10) 76 with value (4 46) 181 with value (4 82)
% 55.57/55.77 ; 38 with value (4 11) 117 with value (4 47) 171 with value (4 83)
% 55.57/55.77 ; 68 with value (4 12) 34 with value (4 48) 161 with value (4 84)
% 55.57/55.77 ; 64 with value (4 13) 64 with value (4 49) 124 with value (4 85)
% 55.57/55.77 ; 60 with value (4 14) 66 with value (4 50) 142 with value (4 86)
% 55.57/55.77 ; 32 with value (4 15) 95 with value (4 51) 132 with value (4 87)
% 55.57/55.77 ; 109 with value (4 16) 57 with value (4 52) 113 with value (4 88)
% 55.57/55.77 ; 175 with value (4 17) 86 with value (4 53) 122 with value (4 89)
% 55.57/55.77 ; 58 with value (4 18) 74 with value (4 54) 79 with value (4 90)
% 55.57/55.77 ; 20 with value (4 19) 180 with value (4 55) 111 with value (4 91)
% 55.57/55.77 ; 45 with value (4 20) 162 with value (4 56) 125 with value (4 92)
% 55.57/55.77 ; 31 with value (4 21) 87 with value (4 57) 92 with value (4 93)
% 55.57/55.77 ; 36 with value (4 22) 99 with value (4 58) 74 with value (4 94)
% 55.57/55.77 ; 24 with value (4 23) 66 with value (4 59) 94 with value (4 95)
% 55.57/55.77 ; 512 with value (4 24) 142 with value (4 60) 121 with value (4 96)
% 55.57/55.77 ; 433 with value (4 25) 142 with value (4 61) 48 with value (4 97)
% 55.57/55.77 ; 180 with value (4 26) 158 with value (4 62) 50 with value (4 98)
% 55.57/55.77 ; 44 with value (4 27) 127 with value (4 63) 97 with value (4 99)
% 55.57/55.77 ; 163 with value (4 28) 104 with value (4 64) 62 with value (4 100)
% 55.57/55.77 ; 43 with value (4 29) 158 with value (4 65) 31 with value (4 101)
% 55.57/55.77 ; 39 with value (4 30) 151 with value (4 66) 61 with value (4 102)
% 55.57/55.77 ; 34 with value (4 31) 173 with value (4 67) 66 with value (4 103)
% 55.57/55.77 ; 12 with value (4 32) 146 with value (4 68) 21 with value (4 104)
% 55.57/55.77 ; 251 with value (4 33) 125 with value (4 69) 27 with value (4 105)
% 55.57/55.77 ; 98 with value (4 34) 145 with value (4 70) 42 with value (4 106)
% 55.57/55.77 ; 119 with value (4 35) 189 with value (4 71) 15 with value (4 107)
% 55.57/55.77 ; 92 with value (4 36) 197 with value (4 72) 4 with value (4 108)
% 55.57/55.77 ; 46 with value (4 37) 155 with value (4 73) 14 with value (4 109)
% 55.57/55.77 ; 53 with value (4 38) 148 with value (4 74) 6 with value (4 110)
% 55.57/55.77 ; 154 with value (4 39) 171 with value (4 75) 2 with value (4 112)
% 55.57/55.77 ; 19 with value (4 40) 188 with value (4 76)
% 55.57/55.77 Evaluation took:
% 55.57/55.77 55.294 seconds of real time
% 55.57/55.77 54.51203 seconds of user run time
% 55.57/55.77 0.764184 seconds of system run time
% 55.57/55.77 [Run times include 1.809 seconds GC run time.]
% 55.57/55.77 0 calls to %EVAL
% 55.57/55.77 0 page faults and
% 55.57/55.77 1,671,699,968 bytes consed.
% 55.57/55.77 :PROOF-FOUND
% 55.57/55.77 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T22:22:43
% 55.57/55.77 :PROOF-FOUND
% 55.57/55.77 *
%------------------------------------------------------------------------------