TSTP Solution File: NUM624+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM624+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 14:12:20 EDT 2022
% Result : Theorem 2.13s 2.35s
% Output : Refutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of clauses : 19 ( 16 unt; 1 nHn; 19 RR)
% Number of literals : 30 ( 8 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( ~ aSet0(X)
| ~ aSubsetOf0(Y,X)
| ~ aElementOf0(Z,Y)
| aElementOf0(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(40,axiom,
aSet0(szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
cnf(55,axiom,
( ~ aElementOf0(X,szNzAzT0)
| ~ aElementOf0(Y,szNzAzT0)
| ~ sdtlseqdt0(X,Y)
| ~ sdtlseqdt0(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
cnf(70,axiom,
( ~ aSubsetOf0(X,szNzAzT0)
| X = slcrc0
| Y != szmzizndt0(X)
| ~ aElementOf0(Z,X)
| sdtlseqdt0(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
cnf(196,hypothesis,
xQ != slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
cnf(197,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5106) ).
cnf(199,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
cnf(203,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5173) ).
cnf(214,hypothesis,
aElementOf0(xx,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
cnf(218,hypothesis,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).
cnf(221,hypothesis,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5481) ).
cnf(222,hypothesis,
aElementOf0(xx,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5481) ).
cnf(223,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5518) ).
cnf(224,hypothesis,
sdtlpdtrp0(xN,xm) != slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5518) ).
cnf(225,negated_conjecture,
xp != xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(373,plain,
aElementOf0(xp,szNzAzT0),
inference('HYPERRESOLVE',[status(thm)],[9,40,197,203]) ).
cnf(526,plain,
sdtlseqdt0(xp,xx),
inference('UR-RESOLVE',[status(thm)],[70,197,196,199,222]) ).
cnf(527,plain,
sdtlseqdt0(xx,xp),
inference('UR-RESOLVE',[status(thm)],[70,223,224,218,221]) ).
cnf(4362,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[55,526,373,214,225]),527]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM624+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n020.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 : Thu Jul 7 01:16:44 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T01:16:44
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-07T01:16:44
% 2.13/2.35
% 2.13/2.35
% 2.13/2.35 #||
% 2.13/2.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/2.35 % SZS output start Refutation
% See solution above
% 2.13/2.35 ||#
% 2.13/2.35
% 2.13/2.35 ; Summary of computation:
% 2.13/2.35 ; 6220 formulas have been input or derived (from 265 formulas).
% 2.13/2.35 ; 4362 (70%) were retained. Of these,
% 2.13/2.35 ; 284 ( 7%) were simplified or subsumed later,
% 2.13/2.35 ; 4078 (93%) are still being kept.
% 2.13/2.35 ;
% 2.13/2.35 ; Run time in seconds excluding printing time:
% 2.13/2.35 ; 0.029 2% Read assertion file (1 call)
% 2.13/2.35 ; 0.007 0% Assert (121 calls)
% 2.13/2.35 ; 0.325 18% Process new row (6,004 calls)
% 2.13/2.35 ; 0.964 52% Resolution (528 calls)
% 2.13/2.35 ; 0.006 0% Paramodulation (264 calls)
% 2.13/2.35 ; 0.021 1% Condensing (3,240 calls)
% 2.13/2.35 ; 0.201 11% Forward subsumption (3,240 calls)
% 2.13/2.35 ; 0.101 5% Backward subsumption (3,077 calls)
% 2.13/2.35 ; 0.005 0% Clause clause subsumption (986 calls)
% 2.13/2.35 ; 0.099 5% Forward simplification (6,004 calls)
% 2.13/2.35 ; 0.034 2% Backward simplification (4,359 calls)
% 2.13/2.35 ; 0.008 0% Ordering (7,484 calls)
% 2.13/2.35 ; 0.000 0% Sortal reasoning (32 calls)
% 2.13/2.35 ; 0.001 0% Purity testing (1 call)
% 2.13/2.35 ; 0.055 3% Other
% 2.13/2.35 ; 1.856 Total
% 2.13/2.35 ; 1.858 Real time
% 2.13/2.35 ;
% 2.13/2.35 ; Term-hash-array has 9,313 terms in all.
% 2.13/2.35 ; Feature-vector-row-index has 2,841 entries (2,841 at peak, 3,077 added, 236 deleted).
% 2.13/2.35 ; Feature-vector-row-index has 14,000 nodes (14,000 at peak, 14,799 added, 799 deleted).
% 2.13/2.35 ; Retrieved 2,957 possibly forward subsuming rows in 3,240 calls.
% 2.13/2.35 ; Retrieved 3,705 possibly backward subsumed rows in 3,077 calls.
% 2.13/2.35 ; Path-index has 9,235 entries (9,235 at peak, 9,701 added, 466 deleted).
% 2.13/2.35 ; Path-index has 2,674 nodes (2,674 at peak, 2,707 added, 33 deleted).
% 2.13/2.35 ; Trie-index has 9,235 entries (9,235 at peak, 9,701 added, 466 deleted).
% 2.13/2.35 ; Trie-index has 15,030 nodes (15,030 at peak, 15,740 added, 710 deleted).
% 2.13/2.35 ; Retrieved 3,166 generalization terms in 18,805 calls.
% 2.13/2.35 ; Retrieved 1,281 instance terms in 1,281 calls.
% 2.13/2.35 ; Retrieved 2,777,866 unifiable terms in 60,310 calls.
% 2.13/2.35 ;
% 2.13/2.35 ; The agenda of rows to process has 6 entries:
% 2.13/2.35 ; 1 with value 6 4 with value 9 1 with value 11
% 2.13/2.35 ; The agenda of rows to give has 3813 entries:
% 2.13/2.35 ; 5 with value (4 5) 129 with value (4 18) 7 with value (4 31)
% 2.13/2.35 ; 53 with value (4 6) 37 with value (4 19) 3 with value (4 32)
% 2.13/2.35 ; 111 with value (4 7) 44 with value (4 20) 206 with value (4 33)
% 2.13/2.35 ; 289 with value (4 8) 33 with value (4 21) 3 with value (4 34)
% 2.13/2.35 ; 476 with value (4 9) 18 with value (4 22) 3 with value (4 35)
% 2.13/2.35 ; 103 with value (4 10) 17 with value (4 23) 1 with value (4 36)
% 2.13/2.35 ; 59 with value (4 11) 549 with value (4 24) 19 with value (4 37)
% 2.13/2.35 ; 65 with value (4 12) 558 with value (4 25) 6 with value (4 38)
% 2.13/2.35 ; 88 with value (4 13) 154 with value (4 26) 4 with value (4 41)
% 2.13/2.35 ; 13 with value (4 14) 203 with value (4 27) 1 with value (4 44)
% 2.13/2.35 ; 44 with value (4 15) 182 with value (4 28) 1 with value (4 45)
% 2.13/2.35 ; 69 with value (4 16) 9 with value (4 29) 3 with value (4 51)
% 2.13/2.35 ; 243 with value (4 17) 5 with value (4 30)
% 2.13/2.35 Evaluation took:
% 2.13/2.35 1.859 seconds of real time
% 2.13/2.35 1.781795 seconds of user run time
% 2.13/2.35 0.077035 seconds of system run time
% 2.13/2.35 [Run times include 0.15 seconds GC run time.]
% 2.13/2.35 0 calls to %EVAL
% 2.13/2.35 0 page faults and
% 2.13/2.35 131,250,808 bytes consed.
% 2.13/2.35 :PROOF-FOUND
% 2.13/2.35 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T01:16:46
% 2.13/2.35 :PROOF-FOUND
% 2.13/2.35 *
%------------------------------------------------------------------------------