TSTP Solution File: RNG109+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG109+1 : 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 20:40:49 EDT 2022
% Result : Theorem 3.74s 3.93s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of clauses : 23 ( 16 unt; 0 nHn; 23 RR)
% Number of literals : 36 ( 14 equ; 15 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
( ~ aElement0(X)
| sdtpldt0(X,sz00) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
cnf(9,axiom,
( ~ aElement0(X)
| X = sdtpldt0(sz00,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
cnf(33,axiom,
( ~ aSet0(X)
| ~ aSet0(Y)
| Z != sdtpldt1(X,Y)
| aElementOf0(U,Z)
| ~ aElementOf0(V,X)
| ~ aElementOf0(W,Y)
| sdtpldt0(V,W) != U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSSum) ).
cnf(80,axiom,
( ~ aElement0(X)
| Y != slsdtgt0(X)
| aSet0(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
cnf(88,hypothesis,
aElement0(xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
cnf(89,hypothesis,
aElement0(xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
cnf(90,hypothesis,
( xa != sz00
| xb != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2110) ).
cnf(93,hypothesis,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
cnf(94,hypothesis,
aElementOf0(sz00,slsdtgt0(xa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
cnf(95,hypothesis,
aElementOf0(xa,slsdtgt0(xa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
cnf(96,hypothesis,
aElementOf0(sz00,slsdtgt0(xb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
cnf(97,hypothesis,
aElementOf0(xb,slsdtgt0(xb)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
cnf(98,negated_conjecture,
( ~ aElementOf0(X,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| X = sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(99,plain,
( ~ aElementOf0(X,xI)
| X = sz00 ),
inference('REWRITE',[status(thm)],[98,93,theory(equality)]) ).
cnf(111,plain,
sdtpldt0(xa,sz00) = xa,
inference('HYPERRESOLVE',[status(thm)],[8,88]) ).
cnf(114,plain,
xb = sdtpldt0(sz00,xb),
inference('HYPERRESOLVE',[status(thm)],[9,89]) ).
cnf(152,plain,
aSet0(slsdtgt0(xb)),
inference('HYPERRESOLVE',[status(thm)],[80,89,theory(equality)]) ).
cnf(153,plain,
aSet0(slsdtgt0(xa)),
inference('HYPERRESOLVE',[status(thm)],[80,88,theory(equality)]) ).
cnf(7220,plain,
aElementOf0(xb,xI),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[33,153,152,93,94,97,theory(equality)]),114,theory(equality)]) ).
cnf(7221,plain,
aElementOf0(xa,xI),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[33,153,152,93,95,96,theory(equality)]),111,theory(equality)]) ).
cnf(7893,plain,
xb = sz00,
inference('HYPERRESOLVE',[status(thm)],[99,7220]) ).
cnf(7894,plain,
xa != sz00,
inference('REWRITE',[status(thm)],[90,7893,theory(equality)]) ).
cnf(7953,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[99,7894]),7221]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG109+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n027.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
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon May 30 10:09:16 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T10:09:16
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-05-30T10:09:16
% 0.21/0.51 WARNING:
% 0.21/0.51 |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.51 WARNING:
% 0.21/0.51 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 3.74/3.93
% 3.74/3.93
% 3.74/3.93 #||
% 3.74/3.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.74/3.93 % SZS output start Refutation
% See solution above
% 3.74/3.93 ||#
% 3.74/3.93
% 3.74/3.93 ; Summary of computation:
% 3.74/3.93 ; 17986 formulas have been input or derived (from 121 formulas).
% 3.74/3.93 ; 7953 (44%) were retained. Of these,
% 3.74/3.93 ; 4909 (62%) were simplified or subsumed later,
% 3.74/3.93 ; 3044 (38%) are still being kept.
% 3.74/3.93 ;
% 3.74/3.93 ; Run time in seconds excluding printing time:
% 3.74/3.93 ; 0.011 0% Read assertion file (1 call)
% 3.74/3.93 ; 0.004 0% Assert (44 calls)
% 3.74/3.93 ; 0.706 20% Process new row (17,878 calls)
% 3.74/3.93 ; 0.906 26% Resolution (240 calls)
% 3.74/3.93 ; 0.000 0% Paramodulation (120 calls)
% 3.74/3.93 ; 0.010 0% Condensing (10,114 calls)
% 3.74/3.93 ; 0.943 27% Forward subsumption (10,114 calls)
% 3.74/3.93 ; 0.163 5% Backward subsumption (5,670 calls)
% 3.74/3.93 ; 0.018 1% Clause clause subsumption (18,968 calls)
% 3.74/3.93 ; 0.269 8% Forward simplification (17,817 calls)
% 3.74/3.93 ; 0.312 9% Backward simplification (7,952 calls)
% 3.74/3.93 ; 0.021 1% Ordering (13,865 calls)
% 3.74/3.93 ; 0.001 0% Sortal reasoning (32 calls)
% 3.74/3.93 ; 0.001 0% Purity testing (1 call)
% 3.74/3.93 ; 0.079 2% Other
% 3.74/3.93 ; 3.444 Total
% 3.74/3.93 ; 3.445 Real time
% 3.74/3.93 ;
% 3.74/3.93 ; Term-hash-array has 13,828 terms in all.
% 3.74/3.93 ; Feature-vector-row-index has 2,186 entries (5,651 at peak, 5,670 added, 3,484 deleted).
% 3.74/3.93 ; Feature-vector-row-index has 7,514 nodes (10,010 at peak, 10,261 added, 2,747 deleted).
% 3.74/3.93 ; Retrieved 54,425 possibly forward subsuming rows in 10,114 calls.
% 3.74/3.93 ; Retrieved 27,934 possibly backward subsumed rows in 5,670 calls.
% 3.74/3.93 ; Path-index has 5,460 entries (13,272 at peak, 14,073 added, 8,613 deleted).
% 3.74/3.93 ; Path-index has 1,819 nodes (2,112 at peak, 2,194 added, 375 deleted).
% 3.74/3.93 ; Trie-index has 5,460 entries (13,272 at peak, 14,073 added, 8,613 deleted).
% 3.74/3.93 ; Trie-index has 16,526 nodes (39,575 at peak, 42,450 added, 25,924 deleted).
% 3.74/3.93 ; Retrieved 18,622 generalization terms in 69,150 calls.
% 3.74/3.93 ; Retrieved 2,281 instance terms in 2,281 calls.
% 3.74/3.93 ; Retrieved 2,604,672 unifiable terms in 38,558 calls.
% 3.74/3.93 ;
% 3.74/3.93 ; The agenda of rows to process has 22 entries:
% 3.74/3.93 ; 6 with value 7 4 with value 10 1 with value 18
% 3.74/3.93 ; 4 with value 8 3 with value 16 2 with value 21
% 3.74/3.93 ; 2 with value 9
% 3.74/3.93 ; The agenda of input rows to give has 2 entries:
% 3.74/3.93 ; 1 with value 5 1 with value 10
% 3.74/3.93 ; The agenda of rows to give has 2933 entries:
% 3.74/3.93 ; 1 with value (4 5) 116 with value (4 17) 4 with value (4 30)
% 3.74/3.93 ; 3 with value (4 6) 63 with value (4 18) 29 with value (4 31)
% 3.74/3.93 ; 27 with value (4 7) 65 with value (4 19) 6 with value (4 32)
% 3.74/3.93 ; 20 with value (4 8) 134 with value (4 20) 13 with value (4 34)
% 3.74/3.93 ; 28 with value (4 9) 187 with value (4 21) 66 with value (4 35)
% 3.74/3.93 ; 57 with value (4 10) 239 with value (4 22) 30 with value (4 36)
% 3.74/3.93 ; 71 with value (4 11) 330 with value (4 23) 66 with value (4 39)
% 3.74/3.93 ; 43 with value (4 12) 211 with value (4 24) 6 with value (4 40)
% 3.74/3.93 ; 61 with value (4 13) 262 with value (4 25) 9 with value (4 42)
% 3.74/3.93 ; 34 with value (4 14) 284 with value (4 26) 8 with value (4 47)
% 3.74/3.93 ; 93 with value (4 15) 168 with value (4 27) 21 with value (4 48)
% 3.74/3.93 ; 43 with value (4 16) 111 with value (4 28) 24 with value (4 53)
% 3.74/3.93 Evaluation took:
% 3.74/3.93 3.447 seconds of real time
% 3.74/3.93 3.195285 seconds of user run time
% 3.74/3.93 0.252113 seconds of system run time
% 3.74/3.93 [Run times include 0.418 seconds GC run time.]
% 3.74/3.93 0 calls to %EVAL
% 3.74/3.93 0 page faults and
% 3.74/3.93 304,655,232 bytes consed.
% 3.74/3.93 :PROOF-FOUND
% 3.74/3.93 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T10:09:20
% 3.74/3.93 :PROOF-FOUND
% 3.74/3.93 *
%------------------------------------------------------------------------------