TSTP Solution File: NUM625+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM625+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 0.79s 0.98s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 10
% Syntax : Number of clauses : 15 ( 12 unt; 0 nHn; 15 RR)
% Number of literals : 23 ( 6 equ; 9 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,X)
| aElement0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
cnf(8,axiom,
( ~ aSet0(X)
| ~ aSubsetOf0(Y,X)
| aSet0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(28,axiom,
( ~ aSet0(X)
| ~ aElement0(Y)
| Z != sdtmndt0(X,Y)
| ~ aElementOf0(U,Z)
| U != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
cnf(187,hypothesis,
aSet0(xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
cnf(195,hypothesis,
aSubsetOf0(xQ,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
cnf(199,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
cnf(200,hypothesis,
aSet0(xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
cnf(201,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
cnf(202,plain,
xP = sdtmndt0(xQ,xp),
inference('REWRITE',[status(thm)],[201,199,theory(equality)]) ).
cnf(213,hypothesis,
aElementOf0(xx,xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).
cnf(223,hypothesis,
xp = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5496) ).
cnf(224,plain,
aElementOf0(xp,xP),
inference('REWRITE',[status(thm)],[213,223,theory(equality)]) ).
cnf(273,plain,
aElement0(xp),
inference('HYPERRESOLVE',[status(thm)],[1,200,224]) ).
cnf(279,plain,
aSet0(xQ),
inference('HYPERRESOLVE',[status(thm)],[8,187,195]) ).
cnf(1273,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[28,273,202,224,theory(equality)]),279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM625+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.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 : Wed Jul 6 00:47:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T00:47:28
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-06T00:47:28
% 0.79/0.98
% 0.79/0.98
% 0.79/0.98 #||
% 0.79/0.98 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.98 % SZS output start Refutation
% See solution above
% 0.79/0.98 ||#
% 0.79/0.98
% 0.79/0.98 ; Summary of computation:
% 0.79/0.98 ; 2042 formulas have been input or derived (from 225 formulas).
% 0.79/0.98 ; 1273 (62%) were retained. Of these,
% 0.79/0.98 ; 41 ( 3%) were simplified or subsumed later,
% 0.79/0.98 ; 1232 (97%) are still being kept.
% 0.79/0.98 ;
% 0.79/0.98 ; Run time in seconds excluding printing time:
% 0.79/0.98 ; 0.029 6% Read assertion file (1 call)
% 0.79/0.98 ; 0.008 2% Assert (121 calls)
% 0.79/0.98 ; 0.100 20% Process new row (1,684 calls)
% 0.79/0.98 ; 0.232 46% Resolution (448 calls)
% 0.79/0.98 ; 0.006 1% Paramodulation (224 calls)
% 0.79/0.98 ; 0.007 1% Condensing (898 calls)
% 0.79/0.98 ; 0.041 8% Forward subsumption (898 calls)
% 0.79/0.98 ; 0.021 4% Backward subsumption (864 calls)
% 0.79/0.98 ; 0.000 0% Clause clause subsumption (218 calls)
% 0.79/0.98 ; 0.025 5% Forward simplification (1,684 calls)
% 0.79/0.98 ; 0.004 1% Backward simplification (1,270 calls)
% 0.79/0.98 ; 0.002 0% Ordering (1,574 calls)
% 0.79/0.98 ; 0.000 0% Sortal reasoning (32 calls)
% 0.79/0.98 ; 0.000 0% Purity testing (1 call)
% 0.79/0.98 ; 0.028 6% Other
% 0.79/0.98 ; 0.503 Total
% 0.79/0.98 ; 0.505 Real time
% 0.79/0.98 ;
% 0.79/0.98 ; Term-hash-array has 2,694 terms in all.
% 0.79/0.98 ; Feature-vector-row-index has 836 entries (860 at peak, 864 added, 28 deleted).
% 0.79/0.98 ; Feature-vector-row-index has 5,204 nodes (5,373 at peak, 5,400 added, 196 deleted).
% 0.79/0.98 ; Retrieved 440 possibly forward subsuming rows in 898 calls.
% 0.79/0.98 ; Retrieved 670 possibly backward subsumed rows in 864 calls.
% 0.79/0.98 ; Path-index has 2,699 entries (2,699 at peak, 2,763 added, 64 deleted).
% 0.79/0.98 ; Path-index has 2,249 nodes (2,249 at peak, 2,258 added, 9 deleted).
% 0.79/0.98 ; Trie-index has 2,699 entries (2,699 at peak, 2,763 added, 64 deleted).
% 0.79/0.98 ; Trie-index has 5,550 nodes (5,550 at peak, 5,653 added, 103 deleted).
% 0.79/0.98 ; Retrieved 911 generalization terms in 5,556 calls.
% 0.79/0.98 ; Retrieved 405 instance terms in 405 calls.
% 0.79/0.98 ; Retrieved 469,050 unifiable terms in 18,317 calls.
% 0.79/0.98 ;
% 0.79/0.98 ; The agenda of rows to process has 318 entries:
% 0.79/0.98 ; 46 with value 8 15 with value 13 25 with value 25
% 0.79/0.98 ; 70 with value 9 5 with value 16 25 with value 26
% 0.79/0.98 ; 15 with value 10 7 with value 17 25 with value 28
% 0.79/0.98 ; 15 with value 11 50 with value 24 20 with value 33
% 0.79/0.98 ; The agenda of rows to give has 1007 entries:
% 0.79/0.98 ; 7 with value (4 4) 51 with value (4 17) 7 with value (4 31)
% 0.79/0.98 ; 26 with value (4 5) 11 with value (4 18) 3 with value (4 32)
% 0.79/0.98 ; 30 with value (4 6) 23 with value (4 19) 13 with value (4 33)
% 0.79/0.98 ; 102 with value (4 7) 14 with value (4 20) 3 with value (4 34)
% 0.79/0.98 ; 48 with value (4 8) 27 with value (4 21) 3 with value (4 35)
% 0.79/0.98 ; 50 with value (4 9) 17 with value (4 23) 1 with value (4 36)
% 0.79/0.98 ; 22 with value (4 10) 132 with value (4 24) 19 with value (4 37)
% 0.79/0.98 ; 45 with value (4 11) 63 with value (4 25) 6 with value (4 38)
% 0.79/0.98 ; 34 with value (4 12) 110 with value (4 26) 4 with value (4 41)
% 0.79/0.98 ; 10 with value (4 13) 35 with value (4 27) 1 with value (4 44)
% 0.79/0.98 ; 10 with value (4 14) 16 with value (4 28) 1 with value (4 45)
% 0.79/0.98 ; 31 with value (4 15) 9 with value (4 29) 3 with value (4 51)
% 0.79/0.98 ; 19 with value (4 16) 1 with value (4 30)
% 0.79/0.98 Evaluation took:
% 0.79/0.98 0.505 seconds of real time
% 0.79/0.98 0.477582 seconds of user run time
% 0.79/0.98 0.027783 seconds of system run time
% 0.79/0.98 [Run times include 0.02 seconds GC run time.]
% 0.79/0.98 0 calls to %EVAL
% 0.79/0.98 0 page faults and
% 0.79/0.98 32,023,960 bytes consed.
% 0.79/0.98 :PROOF-FOUND
% 0.79/0.98 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T00:47:28
% 0.79/0.98 :PROOF-FOUND
% 0.79/0.98 *
%------------------------------------------------------------------------------