TSTP Solution File: NUM545+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM545+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:11:32 EDT 2022
% Result : Theorem 2.91s 3.09s
% Output : Refutation 2.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 25 ( 15 unt; 4 nHn; 25 RR)
% Number of literals : 43 ( 8 equ; 19 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != slcrc0
| aSet0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
cnf(3,axiom,
( X != slcrc0
| ~ aElementOf0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
cnf(8,axiom,
( ~ aSet0(X)
| ~ aSubsetOf0(Y,X)
| aSet0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(9,axiom,
( ~ aSet0(X)
| ~ aSubsetOf0(Y,X)
| ~ aElementOf0(Z,Y)
| aElementOf0(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(10,axiom,
( ~ aSet0(X)
| aSubsetOf0(Y,X)
| ~ aSet0(Y)
| aElementOf0('SKOLEMAAAV2'(Y,X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(40,axiom,
aSet0(szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
cnf(42,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
cnf(43,axiom,
( ~ aElementOf0(X,szNzAzT0)
| aElementOf0(szszuzczcdt0(X),szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
cnf(72,axiom,
( ~ aSubsetOf0(X,szNzAzT0)
| ~ isFinite0(X)
| X = slcrc0
| Y != szmzazxdt0(X)
| aElementOf0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMax) ).
cnf(85,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
cnf(91,hypothesis,
aSubsetOf0(xS,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1986) ).
cnf(92,hypothesis,
isFinite0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1986) ).
cnf(93,hypothesis,
( xS = slcrc0
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2035) ).
cnf(94,negated_conjecture,
( ~ aElementOf0(X,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(95,plain,
aSet0(slcrc0),
inference('HYPERRESOLVE',[status(thm)],[2,theory(equality)]) ).
cnf(103,plain,
aSet0(xS),
inference('HYPERRESOLVE',[status(thm)],[8,40,91]) ).
cnf(108,plain,
~ aSubsetOf0(xS,slcrc0),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[94,42]),85,theory(equality)]) ).
cnf(114,plain,
( xS = slcrc0
| aElementOf0(szmzazxdt0(xS),xS) ),
inference('HYPERRESOLVE',[status(thm)],[72,91,92,theory(equality)]) ).
cnf(170,plain,
aElementOf0('SKOLEMAAAV2'(xS,slcrc0),xS),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,103,95]),108]) ).
cnf(3435,plain,
xS != slcrc0,
inference('UR-RESOLVE',[status(thm)],[3,170]) ).
cnf(3436,plain,
aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference('REWRITE',[status(thm)],[93,3435]) ).
cnf(3438,plain,
aElementOf0(szmzazxdt0(xS),xS),
inference('REWRITE',[status(thm)],[114,3435]) ).
cnf(3459,plain,
~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0),
inference('UR-RESOLVE',[status(thm)],[94,3436]) ).
cnf(3476,plain,
aElementOf0(szmzazxdt0(xS),szNzAzT0),
inference('HYPERRESOLVE',[status(thm)],[9,3438,40,91]) ).
cnf(4315,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[43,3476]),3459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM545+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jul 7 00:08:44 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.51 #<PACKAGE "SNARK-USER">
% 0.21/0.51 *
% 0.21/0.51 SNARK-TPTP-OPTIONS
% 0.21/0.51 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T00:08:44
% 0.21/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-07T00:08:44
% 0.36/0.54 WARNING:
% 0.36/0.54 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 2.91/3.09
% 2.91/3.09
% 2.91/3.09 #||
% 2.91/3.09 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.91/3.09 % SZS output start Refutation
% See solution above
% 2.91/3.10 ||#
% 2.91/3.10
% 2.91/3.10 ; Summary of computation:
% 2.91/3.10 ; 6301 formulas have been input or derived (from 162 formulas).
% 2.91/3.10 ; 4315 (68%) were retained. Of these,
% 2.91/3.10 ; 499 (12%) were simplified or subsumed later,
% 2.91/3.10 ; 3816 (88%) are still being kept.
% 2.91/3.10 ;
% 2.91/3.10 ; Run time in seconds excluding printing time:
% 2.91/3.10 ; 0.013 1% Read assertion file (1 call)
% 2.91/3.10 ; 0.004 0% Assert (57 calls)
% 2.91/3.10 ; 0.356 14% Process new row (5,985 calls)
% 2.91/3.10 ; 1.191 46% Resolution (322 calls)
% 2.91/3.10 ; 0.002 0% Paramodulation (161 calls)
% 2.91/3.10 ; 0.000 0% Factoring (1 call)
% 2.91/3.10 ; 0.010 0% Condensing (3,081 calls)
% 2.91/3.10 ; 0.628 24% Forward subsumption (3,081 calls)
% 2.91/3.10 ; 0.116 4% Backward subsumption (2,917 calls)
% 2.91/3.10 ; 0.011 0% Clause clause subsumption (4,770 calls)
% 2.91/3.10 ; 0.143 6% Forward simplification (5,984 calls)
% 2.91/3.10 ; 0.053 2% Backward simplification (4,315 calls)
% 2.91/3.10 ; 0.017 1% Ordering (7,250 calls)
% 2.91/3.10 ; 0.000 0% Sortal reasoning (32 calls)
% 2.91/3.10 ; 0.001 0% Purity testing (1 call)
% 2.91/3.10 ; 0.042 2% Other
% 2.91/3.10 ; 2.587 Total
% 2.91/3.10 ; 2.589 Real time
% 2.91/3.10 ;
% 2.91/3.10 ; Term-hash-array has 7,903 terms in all.
% 2.91/3.10 ; Feature-vector-row-index has 2,448 entries (2,449 at peak, 2,917 added, 469 deleted).
% 2.91/3.10 ; Feature-vector-row-index has 16,315 nodes (16,319 at peak, 18,601 added, 2,286 deleted).
% 2.91/3.10 ; Retrieved 5,863 possibly forward subsuming rows in 3,081 calls.
% 2.91/3.10 ; Retrieved 3,048 possibly backward subsumed rows in 2,917 calls.
% 2.91/3.10 ; Path-index has 7,806 entries (7,808 at peak, 8,806 added, 1,000 deleted).
% 2.91/3.10 ; Path-index has 2,171 nodes (2,171 at peak, 2,238 added, 67 deleted).
% 2.91/3.10 ; Trie-index has 7,806 entries (7,808 at peak, 8,806 added, 1,000 deleted).
% 2.91/3.10 ; Trie-index has 21,181 nodes (21,192 at peak, 23,827 added, 2,646 deleted).
% 2.91/3.10 ; Retrieved 2,841 generalization terms in 26,556 calls.
% 2.91/3.10 ; Retrieved 1,436 instance terms in 1,397 calls.
% 2.91/3.10 ; Retrieved 3,223,259 unifiable terms in 73,634 calls.
% 2.91/3.10 ;
% 2.91/3.10 ; The agenda of rows to process has 102 entries:
% 2.91/3.10 ; 6 with value 11 3 with value 17 1 with value 23
% 2.91/3.10 ; 18 with value 12 12 with value 19 2 with value 29
% 2.91/3.10 ; 16 with value 13 8 with value 20 3 with value 32
% 2.91/3.10 ; 12 with value 14 7 with value 21 5 with value 37
% 2.91/3.10 ; 3 with value 16 1 with value 22 5 with value 40
% 2.91/3.10 ; The agenda of rows to give has 3655 entries:
% 2.91/3.10 ; 1 with value (4 8) 39 with value (4 25) 67 with value (4 42)
% 2.91/3.10 ; 32 with value (4 9) 82 with value (4 26) 30 with value (4 43)
% 2.91/3.10 ; 64 with value (4 10) 38 with value (4 27) 17 with value (4 44)
% 2.91/3.10 ; 116 with value (4 11) 82 with value (4 28) 185 with value (4 45)
% 2.91/3.10 ; 151 with value (4 12) 54 with value (4 29) 44 with value (4 46)
% 2.91/3.10 ; 251 with value (4 13) 83 with value (4 30) 34 with value (4 47)
% 2.91/3.10 ; 279 with value (4 14) 54 with value (4 31) 120 with value (4 48)
% 2.91/3.10 ; 156 with value (4 15) 145 with value (4 32) 14 with value (4 49)
% 2.91/3.10 ; 148 with value (4 16) 58 with value (4 33) 48 with value (4 50)
% 2.91/3.10 ; 89 with value (4 17) 41 with value (4 34) 25 with value (4 51)
% 2.91/3.10 ; 39 with value (4 18) 58 with value (4 35) 103 with value (4 53)
% 2.91/3.10 ; 26 with value (4 19) 12 with value (4 36) 24 with value (4 54)
% 2.91/3.10 ; 66 with value (4 20) 119 with value (4 37) 27 with value (4 58)
% 2.91/3.10 ; 57 with value (4 21) 19 with value (4 38) 72 with value (4 63)
% 2.91/3.10 ; 61 with value (4 22) 128 with value (4 39) 14 with value (4 64)
% 2.91/3.10 ; 36 with value (4 23) 159 with value (4 40) 14 with value (4 68)
% 2.91/3.10 ; 35 with value (4 24) 39 with value (4 41)
% 2.91/3.10 Evaluation took:
% 2.91/3.10 2.591 seconds of real time
% 2.91/3.10 2.489975 seconds of user run time
% 2.91/3.10 0.10108 seconds of system run time
% 2.91/3.10 [Run times include 0.24 seconds GC run time.]
% 2.91/3.10 0 calls to %EVAL
% 2.91/3.10 0 page faults and
% 2.91/3.10 203,813,008 bytes consed.
% 2.91/3.10 :PROOF-FOUND
% 2.91/3.10 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T00:08:47
% 2.91/3.10 :PROOF-FOUND
% 2.91/3.10 *
%------------------------------------------------------------------------------