TSTP Solution File: NUM564+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM564+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 14:11:43 EDT 2022
% Result : Theorem 0.63s 0.83s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of clauses : 21 ( 15 unt; 1 nHn; 21 RR)
% Number of literals : 34 ( 10 equ; 16 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 13 ( 2 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(10,axiom,
( ~ aSet0(X)
| aSubsetOf0(Y,X)
| ~ aSet0(Y)
| aElementOf0('SKOLEMAAAU2'(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(86,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
cnf(94,axiom,
( ~ aElementOf0(X,szNzAzT0)
| sbrdtbr0(slbdtrb0(X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSeg) ).
cnf(98,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,szNzAzT0)
| Z != slbdtsldtrb0(X,Y)
| aElementOf0(U,Z)
| ~ aSubsetOf0(U,X)
| sbrdtbr0(U) != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
cnf(141,hypothesis,
aSubsetOf0(xS,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
cnf(144,hypothesis,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
cnf(150,hypothesis,
xK = sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
cnf(151,negated_conjecture,
~ aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(152,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,sz00),
inference('REWRITE',[status(thm)],[144,150,theory(equality)]) ).
cnf(153,plain,
~ aElementOf0(slcrc0,szDzozmdt0(xc)),
inference('REWRITE',[status(thm)],[151,152,theory(equality)]) ).
cnf(158,plain,
aSet0(slcrc0),
inference('HYPERRESOLVE',[status(thm)],[2,theory(equality)]) ).
cnf(162,plain,
~ aElementOf0(X,slcrc0),
inference('UR-RESOLVE',[status(thm)],[3,theory(equality)]) ).
cnf(170,plain,
aSet0(xS),
inference('HYPERRESOLVE',[status(thm)],[8,40,141]) ).
cnf(178,plain,
sbrdtbr0(slcrc0) = sz00,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[94,42]),86,theory(equality)]) ).
cnf(324,plain,
aSubsetOf0(slcrc0,xS),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,170,158]),162]) ).
cnf(774,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[98,324,170,42,152,153]),178,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM564+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n025.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 12:59:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T12:59:42
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-07-05T12:59:42
% 0.63/0.83
% 0.63/0.83
% 0.63/0.83 #||
% 0.63/0.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.63/0.83 % SZS output start Refutation
% See solution above
% 0.63/0.83 ||#
% 0.63/0.83
% 0.63/0.83 ; Summary of computation:
% 0.63/0.83 ; 1177 formulas have been input or derived (from 174 formulas).
% 0.63/0.83 ; 774 (66%) were retained. Of these,
% 0.63/0.83 ; 46 ( 6%) were simplified or subsumed later,
% 0.63/0.83 ; 728 (94%) are still being kept.
% 0.63/0.83 ;
% 0.63/0.83 ; Run time in seconds excluding printing time:
% 0.63/0.83 ; 0.020 6% Read assertion file (1 call)
% 0.63/0.83 ; 0.006 2% Assert (79 calls)
% 0.63/0.83 ; 0.072 20% Process new row (1,128 calls)
% 0.63/0.83 ; 0.134 38% Resolution (346 calls)
% 0.63/0.83 ; 0.003 1% Paramodulation (173 calls)
% 0.63/0.83 ; 0.002 1% Condensing (564 calls)
% 0.63/0.83 ; 0.041 12% Forward subsumption (564 calls)
% 0.63/0.83 ; 0.016 4% Backward subsumption (525 calls)
% 0.63/0.83 ; 0.000 0% Clause clause subsumption (197 calls)
% 0.63/0.83 ; 0.018 5% Forward simplification (1,128 calls)
% 0.63/0.83 ; 0.012 3% Backward simplification (774 calls)
% 0.63/0.83 ; 0.000 0% Ordering (928 calls)
% 0.63/0.83 ; 0.000 0% Sortal reasoning (32 calls)
% 0.63/0.83 ; 0.000 0% Purity testing (1 call)
% 0.63/0.83 ; 0.032 9% Other
% 0.63/0.83 ; 0.356 Total
% 0.63/0.83 ; 0.359 Real time
% 0.63/0.83 ;
% 0.63/0.83 ; Term-hash-array has 1,538 terms in all.
% 0.63/0.83 ; Feature-vector-row-index has 493 entries (493 at peak, 525 added, 32 deleted).
% 0.63/0.83 ; Feature-vector-row-index has 3,871 nodes (3,871 at peak, 4,142 added, 271 deleted).
% 0.63/0.83 ; Retrieved 196 possibly forward subsuming rows in 564 calls.
% 0.63/0.83 ; Retrieved 107 possibly backward subsumed rows in 525 calls.
% 0.63/0.83 ; Path-index has 1,517 entries (1,517 at peak, 1,592 added, 75 deleted).
% 0.63/0.83 ; Path-index has 1,379 nodes (1,379 at peak, 1,435 added, 56 deleted).
% 0.63/0.83 ; Trie-index has 1,517 entries (1,517 at peak, 1,592 added, 75 deleted).
% 0.63/0.83 ; Trie-index has 3,565 nodes (3,565 at peak, 3,756 added, 191 deleted).
% 0.63/0.83 ; Retrieved 578 generalization terms in 3,523 calls.
% 0.63/0.83 ; Retrieved 248 instance terms in 248 calls.
% 0.63/0.83 ; Retrieved 203,853 unifiable terms in 11,510 calls.
% 0.63/0.83 ;
% 0.63/0.83 ; The agenda of rows to give has 554 entries:
% 0.63/0.83 ; 16 with value (4 7) 3 with value (4 19) 25 with value (4 32)
% 0.63/0.83 ; 25 with value (4 8) 8 with value (4 20) 24 with value (4 33)
% 0.63/0.83 ; 34 with value (4 9) 25 with value (4 21) 15 with value (4 34)
% 0.63/0.83 ; 44 with value (4 10) 6 with value (4 22) 19 with value (4 35)
% 0.63/0.83 ; 35 with value (4 11) 10 with value (4 23) 3 with value (4 36)
% 0.63/0.83 ; 31 with value (4 12) 30 with value (4 24) 3 with value (4 37)
% 0.63/0.83 ; 11 with value (4 13) 17 with value (4 25) 2 with value (4 39)
% 0.63/0.83 ; 5 with value (4 14) 14 with value (4 26) 3 with value (4 41)
% 0.63/0.83 ; 6 with value (4 15) 5 with value (4 27) 15 with value (4 42)
% 0.63/0.83 ; 8 with value (4 16) 3 with value (4 28) 1 with value (4 45)
% 0.63/0.83 ; 16 with value (4 17) 48 with value (4 30) 12 with value (4 47)
% 0.63/0.83 ; 12 with value (4 18) 20 with value (4 31)
% 0.63/0.83 Evaluation took:
% 0.63/0.83 0.359 seconds of real time
% 0.63/0.83 0.332305 seconds of user run time
% 0.63/0.83 0.02591 seconds of system run time
% 0.63/0.83 [Run times include 0.01 seconds GC run time.]
% 0.63/0.83 0 calls to %EVAL
% 0.63/0.83 0 page faults and
% 0.63/0.83 22,011,528 bytes consed.
% 0.63/0.83 :PROOF-FOUND
% 0.63/0.83 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T12:59:43
% 0.63/0.83 :PROOF-FOUND
% 0.63/0.83 *
%------------------------------------------------------------------------------