TSTP Solution File: RNG109+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG109+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 1.07s 1.27s
% Output : Refutation 1.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of clauses : 20 ( 13 unt; 0 nHn; 20 RR)
% Number of literals : 31 ( 14 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
( ~ aElement0(X)
| sdtpldt0(X,sz00) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
cnf(9,axiom,
( ~ aElement0(X)
| X = sdtpldt0(sz00,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
cnf(88,hypothesis,
aElement0(xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
cnf(89,hypothesis,
aElement0(xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
cnf(90,hypothesis,
( xa != sz00
| xb != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2110) ).
cnf(141,hypothesis,
( aElementOf0(X,xI)
| ~ aElementOf0(Y,slsdtgt0(xa))
| ~ aElementOf0(Z,slsdtgt0(xb))
| sdtpldt0(Y,Z) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
cnf(142,hypothesis,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
cnf(145,hypothesis,
aElementOf0(sz00,slsdtgt0(xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
cnf(148,hypothesis,
aElementOf0(xa,slsdtgt0(xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
cnf(151,hypothesis,
aElementOf0(sz00,slsdtgt0(xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
cnf(154,hypothesis,
aElementOf0(xb,slsdtgt0(xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2203) ).
cnf(159,negated_conjecture,
( ~ aElementOf0(X,slsdtgt0(xa))
| ~ aElementOf0(Y,slsdtgt0(xb))
| sdtpldt0(X,Y) != Z
| Z = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(160,negated_conjecture,
( ~ aElementOf0(X,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| X = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(161,plain,
( ~ aElementOf0(X,xI)
| X = sz00 ),
inference('REWRITE',[status(thm)],[160,142,theory(equality)]) ).
cnf(193,plain,
sdtpldt0(xa,sz00) = xa,
inference('HYPERRESOLVE',[status(thm)],[8,88]) ).
cnf(203,plain,
xb = sdtpldt0(sz00,xb),
inference('HYPERRESOLVE',[status(thm)],[9,89]) ).
cnf(3163,plain,
aElementOf0(xa,xI),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[141,148,151,theory(equality)]),193,theory(equality)]) ).
cnf(3165,plain,
xb = sz00,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[159,145,154,theory(equality)]),203,theory(equality)]) ).
cnf(3166,plain,
xa != sz00,
inference('REWRITE',[status(thm)],[90,3165,theory(equality)]) ).
cnf(3290,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[161,3166]),3163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG109+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n026.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Mon May 30 17:33:25 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.20/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 *
% 0.20/0.45 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T17:33:25
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-30T17:33:25
% 0.20/0.49 WARNING:
% 0.20/0.49 |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 1.07/1.27
% 1.07/1.27
% 1.07/1.27 #||
% 1.07/1.27 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.27 % SZS output start Refutation
% See solution above
% 1.07/1.27 ||#
% 1.07/1.27
% 1.07/1.27 ; Summary of computation:
% 1.07/1.27 ; 9050 formulas have been input or derived (from 124 formulas).
% 1.07/1.27 ; 3290 (36%) were retained. Of these,
% 1.07/1.27 ; 1466 (45%) were simplified or subsumed later,
% 1.07/1.27 ; 1824 (55%) are still being kept.
% 1.07/1.27 ;
% 1.07/1.27 ; Run time in seconds excluding printing time:
% 1.07/1.27 ; 0.015 2% Read assertion file (1 call)
% 1.07/1.27 ; 0.005 1% Assert (44 calls)
% 1.07/1.27 ; 0.200 25% Process new row (8,974 calls)
% 1.07/1.27 ; 0.336 42% Resolution (246 calls)
% 1.07/1.27 ; 0.003 0% Paramodulation (123 calls)
% 1.07/1.27 ; 0.002 0% Condensing (460 calls)
% 1.07/1.27 ; 0.009 1% Forward subsumption (460 calls)
% 1.07/1.27 ; 0.006 1% Backward subsumption (419 calls)
% 1.07/1.27 ; 0.000 0% Clause clause subsumption (149 calls)
% 1.07/1.27 ; 0.111 14% Forward simplification (8,962 calls)
% 1.07/1.27 ; 0.064 8% Backward simplification (3,289 calls)
% 1.07/1.27 ; 0.009 1% Ordering (2,993 calls)
% 1.07/1.27 ; 0.000 0% Sortal reasoning (32 calls)
% 1.07/1.27 ; 0.001 0% Purity testing (1 call)
% 1.07/1.27 ; 0.048 6% Other
% 1.07/1.27 ; 0.809 Total
% 1.07/1.27 ; 0.810 Real time
% 1.07/1.27 ;
% 1.07/1.27 ; Term-hash-array has 7,571 terms in all.
% 1.07/1.27 ; Feature-vector-row-index has 258 entries (368 at peak, 419 added, 161 deleted).
% 1.07/1.27 ; Feature-vector-row-index has 861 nodes (1,017 at peak, 1,325 added, 464 deleted).
% 1.07/1.27 ; Retrieved 263 possibly forward subsuming rows in 460 calls.
% 1.07/1.27 ; Retrieved 208 possibly backward subsumed rows in 419 calls.
% 1.07/1.27 ; Path-index has 4,207 entries (7,463 at peak, 7,702 added, 3,495 deleted).
% 1.07/1.27 ; Path-index has 1,220 nodes (1,337 at peak, 1,386 added, 166 deleted).
% 1.07/1.27 ; Trie-index has 4,207 entries (7,463 at peak, 7,702 added, 3,495 deleted).
% 1.07/1.27 ; Trie-index has 10,253 nodes (18,423 at peak, 18,817 added, 8,564 deleted).
% 1.07/1.27 ; Retrieved 12,105 generalization terms in 40,082 calls.
% 1.07/1.27 ; Retrieved 2,869 instance terms in 2,869 calls.
% 1.07/1.27 ; Retrieved 797,986 unifiable terms in 17,923 calls.
% 1.07/1.27 ;
% 1.07/1.27 ; The agenda of rows to process has 26 entries:
% 1.07/1.27 ; 2 with value 6 4 with value 8 2 with value 10
% 1.07/1.27 ; 18 with value 7
% 1.07/1.27 ; The agenda of input rows to give has 72 entries:
% 1.07/1.27 ; 2 with value 4 2 with value 17 5 with value 26
% 1.07/1.27 ; 1 with value 5 1 with value 18 4 with value 27
% 1.07/1.27 ; 1 with value 7 2 with value 19 3 with value 28
% 1.07/1.27 ; 1 with value 10 2 with value 20 1 with value 29
% 1.07/1.27 ; 2 with value 11 3 with value 21 5 with value 31
% 1.07/1.27 ; 2 with value 12 3 with value 22 6 with value 32
% 1.07/1.27 ; 2 with value 13 3 with value 23 1 with value 40
% 1.07/1.27 ; 4 with value 15 4 with value 24 1 with value 41
% 1.07/1.27 ; 3 with value 16 7 with value 25 1 with value 42
% 1.07/1.27 ; The agenda of rows to give has 1670 entries:
% 1.07/1.27 ; 10 with value (4 5) 44 with value (4 9) 244 with value (4 13)
% 1.07/1.27 ; 35 with value (4 6) 72 with value (4 10) 2 with value (4 14)
% 1.07/1.27 ; 175 with value (4 7) 266 with value (4 11) 762 with value (4 15)
% 1.07/1.27 ; 55 with value (4 8) 5 with value (4 12)
% 1.07/1.27 Evaluation took:
% 1.07/1.27 0.811 seconds of real time
% 1.07/1.27 0.758643 seconds of user run time
% 1.07/1.27 0.052061 seconds of system run time
% 1.07/1.27 [Run times include 0.046 seconds GC run time.]
% 1.07/1.27 0 calls to %EVAL
% 1.07/1.27 0 page faults and
% 1.07/1.27 62,500,160 bytes consed.
% 1.07/1.27 :PROOF-FOUND
% 1.07/1.27 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T17:33:26
% 1.07/1.27 :PROOF-FOUND
% 1.07/1.27 *
%------------------------------------------------------------------------------