TSTP Solution File: NUM617+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM617+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 14:12:16 EDT 2022
% Result : Theorem 1.17s 1.34s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 13
% Syntax : Number of clauses : 18 ( 14 unt; 0 nHn; 18 RR)
% Number of literals : 29 ( 4 equ; 13 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,X)
| aElement0(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
cnf(8,axiom,
( ~ aSet0(X)
| ~ aSubsetOf0(Y,X)
| aSet0(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
cnf(9,axiom,
( ~ aSet0(X)
| ~ aSubsetOf0(Y,X)
| ~ aElementOf0(Z,Y)
| aElementOf0(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
cnf(27,axiom,
( ~ aSet0(X)
| ~ aElement0(Y)
| Z != sdtmndt0(X,Y)
| ~ aElementOf0(U,Z)
| aElementOf0(U,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
cnf(40,axiom,
aSet0(szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
cnf(187,hypothesis,
aSet0(xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4891) ).
cnf(195,hypothesis,
aSubsetOf0(xQ,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
cnf(197,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
cnf(199,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
cnf(201,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
cnf(202,plain,
xP = sdtmndt0(xQ,xp),
inference('REWRITE',[status(thm)],[201,199,theory(equality)]) ).
cnf(204,hypothesis,
aElementOf0(xp,xO),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5182) ).
cnf(213,hypothesis,
aElementOf0(xx,xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5348) ).
cnf(214,negated_conjecture,
~ aElementOf0(xx,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(252,plain,
aElement0(xp),
inference('HYPERRESOLVE',[status(thm)],[1,187,204]) ).
cnf(257,plain,
aSet0(xQ),
inference('HYPERRESOLVE',[status(thm)],[8,187,195]) ).
cnf(326,plain,
~ aElementOf0(xx,xQ),
inference('UR-RESOLVE',[status(thm)],[9,40,197,214]) ).
cnf(2088,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[27,257,252,202,213]),326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : NUM617+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % 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 : Tue Jul 5 08:31:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T08:31:08
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-05T08:31:08
% 1.17/1.34
% 1.17/1.34
% 1.17/1.34 #||
% 1.17/1.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.17/1.34 % SZS output start Refutation
% See solution above
% 1.17/1.34 ||#
% 1.17/1.34
% 1.17/1.34 ; Summary of computation:
% 1.17/1.34 ; 3411 formulas have been input or derived (from 223 formulas).
% 1.17/1.34 ; 2088 (61%) were retained. Of these,
% 1.17/1.34 ; 71 ( 3%) were simplified or subsumed later,
% 1.17/1.34 ; 2017 (97%) are still being kept.
% 1.17/1.34 ;
% 1.17/1.34 ; Run time in seconds excluding printing time:
% 1.17/1.34 ; 0.028 3% Read assertion file (1 call)
% 1.17/1.34 ; 0.006 1% Assert (114 calls)
% 1.17/1.34 ; 0.139 17% Process new row (2,802 calls)
% 1.17/1.34 ; 0.404 48% Resolution (444 calls)
% 1.17/1.34 ; 0.004 0% Paramodulation (222 calls)
% 1.17/1.34 ; 0.007 1% Condensing (1,490 calls)
% 1.17/1.34 ; 0.093 11% Forward subsumption (1,490 calls)
% 1.17/1.34 ; 0.045 5% Backward subsumption (1,429 calls)
% 1.17/1.34 ; 0.000 0% Clause clause subsumption (346 calls)
% 1.17/1.34 ; 0.067 8% Forward simplification (2,802 calls)
% 1.17/1.34 ; 0.005 1% Backward simplification (2,085 calls)
% 1.17/1.34 ; 0.005 1% Ordering (3,270 calls)
% 1.17/1.34 ; 0.000 0% Sortal reasoning (32 calls)
% 1.17/1.34 ; 0.001 0% Purity testing (1 call)
% 1.17/1.34 ; 0.036 4% Other
% 1.17/1.34 ; 0.840 Total
% 1.17/1.34 ; 0.841 Real time
% 1.17/1.34 ;
% 1.17/1.34 ; Term-hash-array has 4,452 terms in all.
% 1.17/1.34 ; Feature-vector-row-index has 1,387 entries (1,387 at peak, 1,429 added, 42 deleted).
% 1.17/1.34 ; Feature-vector-row-index has 8,467 nodes (8,467 at peak, 8,717 added, 250 deleted).
% 1.17/1.34 ; Retrieved 878 possibly forward subsuming rows in 1,490 calls.
% 1.17/1.34 ; Retrieved 1,036 possibly backward subsumed rows in 1,429 calls.
% 1.17/1.34 ; Path-index has 4,420 entries (4,420 at peak, 4,507 added, 87 deleted).
% 1.17/1.34 ; Path-index has 2,254 nodes (2,254 at peak, 2,278 added, 24 deleted).
% 1.17/1.34 ; Trie-index has 4,420 entries (4,420 at peak, 4,507 added, 87 deleted).
% 1.17/1.34 ; Trie-index has 7,788 nodes (7,788 at peak, 7,947 added, 159 deleted).
% 1.17/1.34 ; Retrieved 1,661 generalization terms in 8,838 calls.
% 1.17/1.34 ; Retrieved 655 instance terms in 655 calls.
% 1.17/1.34 ; Retrieved 1,030,776 unifiable terms in 28,155 calls.
% 1.17/1.34 ;
% 1.17/1.34 ; The agenda of rows to process has 573 entries:
% 1.17/1.34 ; 11 with value 6 3 with value 12 120 with value 25
% 1.17/1.34 ; 1 with value 7 19 with value 13 30 with value 26
% 1.17/1.34 ; 35 with value 8 6 with value 16 48 with value 27
% 1.17/1.34 ; 41 with value 9 12 with value 17 30 with value 28
% 1.17/1.34 ; 4 with value 10 4 with value 22 60 with value 33
% 1.17/1.34 ; 1 with value 11 148 with value 24
% 1.17/1.34 ; The agenda of rows to give has 1794 entries:
% 1.17/1.34 ; 2 with value (4 4) 160 with value (4 17) 7 with value (4 31)
% 1.17/1.34 ; 28 with value (4 5) 37 with value (4 18) 3 with value (4 32)
% 1.17/1.34 ; 24 with value (4 6) 16 with value (4 19) 64 with value (4 33)
% 1.17/1.34 ; 78 with value (4 7) 39 with value (4 20) 3 with value (4 34)
% 1.17/1.34 ; 147 with value (4 8) 16 with value (4 21) 2 with value (4 35)
% 1.17/1.34 ; 190 with value (4 9) 8 with value (4 23) 1 with value (4 36)
% 1.17/1.34 ; 48 with value (4 10) 229 with value (4 24) 19 with value (4 37)
% 1.17/1.34 ; 23 with value (4 11) 213 with value (4 25) 6 with value (4 38)
% 1.17/1.34 ; 37 with value (4 12) 106 with value (4 26) 4 with value (4 41)
% 1.17/1.34 ; 36 with value (4 13) 25 with value (4 27) 1 with value (4 44)
% 1.17/1.34 ; 8 with value (4 14) 96 with value (4 28) 1 with value (4 45)
% 1.17/1.34 ; 30 with value (4 15) 9 with value (4 29) 3 with value (4 51)
% 1.17/1.34 ; 74 with value (4 16) 1 with value (4 30)
% 1.17/1.34 Evaluation took:
% 1.17/1.34 0.843 seconds of real time
% 1.17/1.34 0.809426 seconds of user run time
% 1.17/1.34 0.033564 seconds of system run time
% 1.17/1.34 [Run times include 0.044 seconds GC run time.]
% 1.17/1.34 0 calls to %EVAL
% 1.17/1.34 0 page faults and
% 1.17/1.34 56,188,160 bytes consed.
% 1.17/1.34 :PROOF-FOUND
% 1.17/1.34 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T08:31:08
% 1.17/1.34 :PROOF-FOUND
% 1.17/1.34 *
%------------------------------------------------------------------------------