TSTP Solution File: NUM551+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM551+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 14:11:36 EDT 2022
% Result : Theorem 1.08s 1.25s
% Output : Refutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 2 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,X)
| aElement0(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
cnf(4,axiom,
( X = slcrc0
| ~ aSet0(X)
| aElementOf0('SKOLEMAAAU1'(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
cnf(112,hypothesis,
aSet0(xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).
cnf(115,hypothesis,
xQ != slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2313) ).
cnf(116,negated_conjecture,
( ~ aElement0(X)
| ~ aElementOf0(X,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(148,plain,
aElementOf0('SKOLEMAAAU1'(xQ),xQ),
inference('UR-RESOLVE',[status(thm)],[4,115,112]) ).
cnf(2024,plain,
aElement0('SKOLEMAAAU1'(xQ)),
inference('HYPERRESOLVE',[status(thm)],[1,148,112]) ).
cnf(2025,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[116,148]),2024]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM551+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n029.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 : Wed Jul 6 08:55:58 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T08:55:58
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-06T08:55:58
% 0.36/0.52 WARNING:
% 0.36/0.52 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 1.08/1.25
% 1.08/1.25
% 1.08/1.25 #||
% 1.08/1.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/1.25 % SZS output start Refutation
% See solution above
% 1.08/1.25 ||#
% 1.08/1.25
% 1.08/1.25 ; Summary of computation:
% 1.08/1.25 ; 2986 formulas have been input or derived (from 163 formulas).
% 1.08/1.25 ; 2025 (68%) were retained. Of these,
% 1.08/1.25 ; 191 ( 9%) were simplified or subsumed later,
% 1.08/1.25 ; 1834 (91%) are still being kept.
% 1.08/1.25 ;
% 1.08/1.25 ; Run time in seconds:
% 1.08/1.25 ; 0.015 2% Read assertion file (1 call)
% 1.08/1.25 ; 0.005 1% Assert (68 calls)
% 1.08/1.25 ; 0.137 18% Process new row (2,898 calls)
% 1.08/1.25 ; 0.308 40% Resolution (324 calls)
% 1.08/1.25 ; 0.002 0% Paramodulation (162 calls)
% 1.08/1.25 ; 0.005 1% Condensing (1,430 calls)
% 1.08/1.25 ; 0.143 19% Forward subsumption (1,430 calls)
% 1.08/1.25 ; 0.042 5% Backward subsumption (1,363 calls)
% 1.08/1.25 ; 0.003 0% Clause clause subsumption (739 calls)
% 1.08/1.25 ; 0.042 5% Forward simplification (2,897 calls)
% 1.08/1.25 ; 0.021 3% Backward simplification (2,025 calls)
% 1.08/1.25 ; 0.002 0% Ordering (3,242 calls)
% 1.08/1.25 ; 0.000 0% Sortal reasoning (32 calls)
% 1.08/1.25 ; 0.002 0% Purity testing (1 call)
% 1.08/1.25 ; 0.039 5% Other
% 1.08/1.25 ; 0.766 Total
% 1.08/1.25 ; 0.766 Real time
% 1.08/1.25 ;
% 1.08/1.25 ; Term-hash-array has 4,004 terms in all.
% 1.08/1.25 ; Feature-vector-row-index has 1,196 entries (1,203 at peak, 1,363 added, 167 deleted).
% 1.08/1.25 ; Feature-vector-row-index has 5,765 nodes (5,804 at peak, 6,281 added, 516 deleted).
% 1.08/1.25 ; Retrieved 1,959 possibly forward subsuming rows in 1,430 calls.
% 1.08/1.25 ; Retrieved 1,913 possibly backward subsumed rows in 1,363 calls.
% 1.08/1.25 ; Path-index has 3,956 entries (3,956 at peak, 4,322 added, 366 deleted).
% 1.08/1.25 ; Path-index has 1,204 nodes (1,204 at peak, 1,233 added, 29 deleted).
% 1.08/1.25 ; Trie-index has 3,956 entries (3,956 at peak, 4,322 added, 366 deleted).
% 1.08/1.25 ; Trie-index has 7,578 nodes (7,578 at peak, 8,167 added, 589 deleted).
% 1.08/1.25 ; Retrieved 1,420 generalization terms in 9,989 calls.
% 1.08/1.25 ; Retrieved 661 instance terms in 661 calls.
% 1.08/1.25 ; Retrieved 815,313 unifiable terms in 30,014 calls.
% 1.08/1.25 ;
% 1.08/1.25 ; The agenda of rows to process has 12 entries:
% 1.08/1.25 ; 4 with value 8 3 with value 11 1 with value 16
% 1.08/1.25 ; 3 with value 9 1 with value 15
% 1.08/1.25 ; The agenda of rows to give has 1671 entries:
% 1.08/1.25 ; 21 with value (4 7) 11 with value (4 19) 101 with value (4 31)
% 1.08/1.25 ; 63 with value (4 8) 21 with value (4 20) 43 with value (4 32)
% 1.08/1.25 ; 113 with value (4 9) 65 with value (4 21) 76 with value (4 33)
% 1.08/1.25 ; 160 with value (4 10) 19 with value (4 22) 70 with value (4 34)
% 1.08/1.25 ; 91 with value (4 11) 23 with value (4 23) 47 with value (4 35)
% 1.08/1.25 ; 104 with value (4 12) 114 with value (4 24) 5 with value (4 36)
% 1.08/1.25 ; 20 with value (4 13) 46 with value (4 25) 13 with value (4 37)
% 1.08/1.25 ; 10 with value (4 14) 51 with value (4 26) 10 with value (4 38)
% 1.08/1.25 ; 16 with value (4 15) 10 with value (4 27) 5 with value (4 39)
% 1.08/1.25 ; 21 with value (4 16) 7 with value (4 28) 14 with value (4 41)
% 1.08/1.25 ; 69 with value (4 17) 1 with value (4 29) 39 with value (4 42)
% 1.08/1.25 ; 39 with value (4 18) 129 with value (4 30) 24 with value (4 47)
% 1.08/1.25 Evaluation took:
% 1.08/1.25 0.767 seconds of real time
% 1.08/1.25 0.729712 seconds of user run time
% 1.08/1.25 0.037356 seconds of system run time
% 1.08/1.25 [Run times include 0.037 seconds GC run time.]
% 1.08/1.25 0 calls to %EVAL
% 1.08/1.25 0 page faults and
% 1.08/1.25 58,551,224 bytes consed.
% 1.08/1.25 :PROOF-FOUND
% 1.08/1.25 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T08:55:59
% 1.08/1.25 :PROOF-FOUND
% 1.08/1.25 *
%------------------------------------------------------------------------------