TSTP Solution File: NUM538+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM538+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 14:11:28 EDT 2022
% Result : Theorem 1.49s 2.14s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 10 unt; 1 nHn; 15 RR)
% Number of literals : 27 ( 5 equ; 14 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,X)
| aElement0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
cnf(34,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,X)
| sdtpldt0(sdtmndt0(X,Y),Y) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mConsDiff) ).
cnf(39,axiom,
( ~ aElement0(X)
| ~ aSet0(Y)
| ~ isFinite0(Y)
| isFinite0(sdtmndt0(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
cnf(63,axiom,
( ~ aSet0(X)
| ~ isFinite0(X)
| ~ aElement0(Y)
| aElementOf0(Y,X)
| sbrdtbr0(sdtpldt0(X,Y)) = szszuzczcdt0(sbrdtbr0(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
cnf(64,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1522) ).
cnf(65,hypothesis,
isFinite0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1522_02) ).
cnf(66,hypothesis,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1522_02) ).
cnf(67,negated_conjecture,
aSet0(sdtmndt0(xS,xx)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(70,negated_conjecture,
( ~ aElementOf0(X,sdtmndt0(xS,xx))
| X != xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(72,negated_conjecture,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xS,xx))) != sbrdtbr0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(86,plain,
aElement0(xx),
inference('HYPERRESOLVE',[status(thm)],[1,64,66]) ).
cnf(92,plain,
~ aElementOf0(xx,sdtmndt0(xS,xx)),
inference('UR-RESOLVE',[status(thm)],[70,theory(equality)]) ).
cnf(103,plain,
sdtpldt0(sdtmndt0(xS,xx),xx) = xS,
inference('HYPERRESOLVE',[status(thm)],[34,64,66]) ).
cnf(125,plain,
isFinite0(sdtmndt0(xS,xx)),
inference('HYPERRESOLVE',[status(thm)],[39,86,64,65]) ).
cnf(2563,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[63,125,67,86,92]),72,103,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.52 % Problem : NUM538+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.53 % Command : run-snark %s %d
% 0.12/0.74 % Computer : n027.cluster.edu
% 0.12/0.74 % Model : x86_64 x86_64
% 0.12/0.74 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.74 % Memory : 8042.1875MB
% 0.12/0.74 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.74 % CPULimit : 300
% 0.12/0.74 % WCLimit : 600
% 0.12/0.74 % DateTime : Thu Jul 7 01:57:31 EDT 2022
% 0.12/0.74 % CPUTime :
% 0.19/0.86 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.87 *
% 0.19/0.87 *
% 0.19/0.87 #<PACKAGE "SNARK-USER">
% 0.19/0.87 *
% 0.19/0.87 SNARK-TPTP-OPTIONS
% 0.19/0.87 *
% 0.19/0.87 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.87 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.87 (USE-FACTORING :POS)
% 0.19/0.87 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.87 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.87 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.87 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.87 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.87 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.87 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.87 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.87 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.87 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.87 *
% 0.19/0.87 "."
% 0.19/0.87 *
% 0.19/0.87 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T01:57:31
% 0.19/0.87 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-07T01:57:31
% 0.19/0.90 WARNING:
% 0.19/0.90 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 1.49/2.14
% 1.49/2.14
% 1.49/2.14 #||
% 1.49/2.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.49/2.14 % SZS output start Refutation
% See solution above
% 1.49/2.14 ||#
% 1.49/2.14
% 1.49/2.14 ; Summary of computation:
% 1.49/2.14 ; 3575 formulas have been input or derived (from 112 formulas).
% 1.49/2.14 ; 2563 (72%) were retained. Of these,
% 1.49/2.14 ; 139 ( 5%) were simplified or subsumed later,
% 1.49/2.14 ; 2424 (95%) are still being kept.
% 1.49/2.14 ;
% 1.49/2.14 ; Run time in seconds excluding printing time:
% 1.49/2.14 ; 0.010 1% Read assertion file (1 call)
% 1.49/2.14 ; 0.002 0% Assert (46 calls)
% 1.49/2.14 ; 0.234 19% Process new row (3,475 calls)
% 1.49/2.14 ; 0.352 28% Resolution (222 calls)
% 1.49/2.14 ; 0.001 0% Paramodulation (111 calls)
% 1.49/2.14 ; 0.003 0% Condensing (2,019 calls)
% 1.49/2.14 ; 0.452 36% Forward subsumption (2,019 calls)
% 1.49/2.14 ; 0.087 7% Backward subsumption (1,865 calls)
% 1.49/2.14 ; 0.007 1% Clause clause subsumption (2,664 calls)
% 1.49/2.14 ; 0.061 5% Forward simplification (3,474 calls)
% 1.49/2.14 ; 0.012 1% Backward simplification (2,563 calls)
% 1.49/2.14 ; 0.002 0% Ordering (3,692 calls)
% 1.49/2.14 ; 0.000 0% Sortal reasoning (32 calls)
% 1.49/2.14 ; 0.001 0% Purity testing (1 call)
% 1.49/2.14 ; 0.037 3% Other
% 1.49/2.14 ; 1.261 Total
% 1.49/2.14 ; 1.261 Real time
% 1.49/2.14 ;
% 1.49/2.14 ; Term-hash-array has 5,455 terms in all.
% 1.49/2.14 ; Feature-vector-row-index has 1,752 entries (1,753 at peak, 1,865 added, 113 deleted).
% 1.49/2.14 ; Feature-vector-row-index has 11,005 nodes (11,008 at peak, 11,799 added, 794 deleted).
% 1.49/2.14 ; Retrieved 2,752 possibly forward subsuming rows in 2,019 calls.
% 1.49/2.14 ; Retrieved 815 possibly backward subsumed rows in 1,865 calls.
% 1.49/2.14 ; Path-index has 5,385 entries (5,385 at peak, 5,623 added, 238 deleted).
% 1.49/2.14 ; Path-index has 1,199 nodes (1,199 at peak, 1,238 added, 39 deleted).
% 1.49/2.14 ; Trie-index has 5,385 entries (5,385 at peak, 5,623 added, 238 deleted).
% 1.49/2.14 ; Trie-index has 13,337 nodes (13,337 at peak, 13,833 added, 496 deleted).
% 1.49/2.14 ; Retrieved 1,592 generalization terms in 16,629 calls.
% 1.49/2.14 ; Retrieved 697 instance terms in 697 calls.
% 1.49/2.14 ; Retrieved 917,842 unifiable terms in 33,705 calls.
% 1.49/2.14 ;
% 1.49/2.14 ; The agenda of rows to process has 7 entries:
% 1.49/2.14 ; 2 with value 26 5 with value 28
% 1.49/2.14 ; The agenda of rows to give has 2312 entries:
% 1.49/2.14 ; 19 with value (4 8) 23 with value (4 23) 8 with value (4 38)
% 1.49/2.14 ; 39 with value (4 9) 40 with value (4 24) 117 with value (4 39)
% 1.49/2.14 ; 52 with value (4 10) 45 with value (4 25) 75 with value (4 40)
% 1.49/2.14 ; 84 with value (4 11) 61 with value (4 26) 28 with value (4 41)
% 1.49/2.14 ; 96 with value (4 12) 27 with value (4 27) 87 with value (4 42)
% 1.49/2.14 ; 157 with value (4 13) 47 with value (4 28) 14 with value (4 43)
% 1.49/2.14 ; 90 with value (4 14) 26 with value (4 29) 2 with value (4 44)
% 1.49/2.14 ; 62 with value (4 15) 50 with value (4 30) 259 with value (4 45)
% 1.49/2.14 ; 17 with value (4 16) 25 with value (4 31) 8 with value (4 46)
% 1.49/2.14 ; 33 with value (4 17) 32 with value (4 32) 39 with value (4 47)
% 1.49/2.14 ; 21 with value (4 18) 21 with value (4 33) 116 with value (4 48)
% 1.49/2.14 ; 3 with value (4 19) 28 with value (4 34) 5 with value (4 52)
% 1.49/2.14 ; 36 with value (4 20) 37 with value (4 35) 88 with value (4 53)
% 1.49/2.14 ; 22 with value (4 21) 24 with value (4 36) 32 with value (4 58)
% 1.49/2.14 ; 35 with value (4 22) 82 with value (4 37) 100 with value (4 63)
% 1.49/2.14 Evaluation took:
% 1.49/2.14 1.262 seconds of real time
% 1.49/2.14 1.193098 seconds of user run time
% 1.49/2.14 0.069752 seconds of system run time
% 1.49/2.14 [Run times include 0.097 seconds GC run time.]
% 1.49/2.14 0 calls to %EVAL
% 1.49/2.14 0 page faults and
% 1.49/2.14 124,973,728 bytes consed.
% 1.49/2.14 :PROOF-FOUND
% 1.49/2.14 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T01:57:32
% 1.49/2.14 :PROOF-FOUND
% 1.49/2.14 *
%------------------------------------------------------------------------------