%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG098+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 20:40:47 EDT 2022
% Result : Theorem 9.54s 9.71s
% Output : Refutation 9.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of clauses : 25 ( 18 unt; 0 nHn; 25 RR)
% Number of literals : 39 ( 6 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
aElement0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
cnf(3,axiom,
( ~ aElement0(X)
| aElement0(smndt0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsU) ).
cnf(16,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
cnf(19,axiom,
( ~ aElement0(X)
| smndt0(X) = sdtasdt0(X,smndt0(sz10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMnOne) ).
cnf(24,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,X)
| aElement0(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
cnf(45,axiom,
( ~ aIdeal0(X)
| aSet0(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
cnf(46,axiom,
( ~ aIdeal0(X)
| ~ aElementOf0(Y,X)
| ~ aElementOf0(Z,X)
| aElementOf0(sdtpldt0(Y,Z),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
cnf(47,axiom,
( ~ aIdeal0(X)
| ~ aElementOf0(Y,X)
| ~ aElement0(Z)
| aElementOf0(sdtasdt0(Z,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefIdeal) ).
cnf(57,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205) ).
cnf(58,hypothesis,
aIdeal0(xJ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1205) ).
cnf(60,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1217) ).
cnf(61,hypothesis,
aElement0(xy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1217) ).
cnf(62,hypothesis,
aElementOf0(xa,xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1294) ).
cnf(63,hypothesis,
aElementOf0(xb,xJ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1294) ).
cnf(66,hypothesis,
sdtpldt0(xw,smndt0(xx)) = sdtpldt0(sdtasdt0(xy,xa),sdtpldt0(sdtasdt0(xx,xb),smndt0(xx))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1374) ).
cnf(67,hypothesis,
aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1393) ).
cnf(68,negated_conjecture,
~ aElementOf0(sdtpldt0(xw,smndt0(xx)),xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(69,plain,
aSet0(xJ),
inference('HYPERRESOLVE',[status(thm)],[45,58]) ).
cnf(73,plain,
aElement0(smndt0(sz10)),
inference('HYPERRESOLVE',[status(thm)],[3,2]) ).
cnf(132,plain,
smndt0(xx) = sdtasdt0(xx,smndt0(sz10)),
inference('HYPERRESOLVE',[status(thm)],[19,60]) ).
cnf(143,plain,
aElementOf0(sdtasdt0(xy,xa),xI),
inference('HYPERRESOLVE',[status(thm)],[47,57,62,61]) ).
cnf(331,plain,
aElement0(xb),
inference('HYPERRESOLVE',[status(thm)],[24,69,63]) ).
cnf(3068,plain,
sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))) = sdtpldt0(sdtasdt0(xx,xb),smndt0(xx)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,73,60,331]),132,theory(equality)]) ).
cnf(3069,plain,
sdtpldt0(xw,smndt0(xx)) = sdtpldt0(sdtasdt0(xy,xa),sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10)))),
inference('REWRITE',[status(thm)],[66,3068,theory(equality)]) ).
cnf(32618,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[46,143,57,67]),68,3069,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG098+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 12:02:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T12:02:57
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-30T12:02:57
% 9.54/9.71
% 9.54/9.71
% 9.54/9.71 #||
% 9.54/9.71 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.54/9.71 % SZS output start Refutation
% See solution above
% 9.54/9.71 ||#
% 9.54/9.71
% 9.54/9.71 ; Summary of computation:
% 9.54/9.71 ; 77756 formulas have been input or derived (from 124 formulas).
% 9.54/9.71 ; 32618 (42%) were retained. Of these,
% 9.54/9.71 ; 3740 (11%) were simplified or subsumed later,
% 9.54/9.71 ; 28878 (89%) are still being kept.
% 9.54/9.71 ;
% 9.54/9.71 ; Run time in seconds excluding printing time:
% 9.54/9.71 ; 0.008 0% Read assertion file (1 call)
% 9.54/9.71 ; 0.002 0% Assert (35 calls)
% 9.54/9.71 ; 3.811 41% Process new row (77,648 calls)
% 9.54/9.71 ; 1.494 16% Resolution (246 calls)
% 9.54/9.71 ; 0.005 0% Paramodulation (123 calls)
% 9.54/9.71 ; 0.001 0% Condensing (151 calls)
% 9.54/9.71 ; 0.003 0% Forward subsumption (151 calls)
% 9.54/9.71 ; 0.003 0% Backward subsumption (113 calls)
% 9.54/9.71 ; 0.001 0% Clause clause subsumption (119 calls)
% 9.54/9.71 ; 2.792 30% Forward simplification (77,648 calls)
% 9.54/9.71 ; 0.648 7% Backward simplification (32,618 calls)
% 9.54/9.71 ; 0.200 2% Ordering (31,801 calls)
% 9.54/9.71 ; 0.000 0% Sortal reasoning (32 calls)
% 9.54/9.71 ; 0.000 0% Purity testing (1 call)
% 9.54/9.71 ; 0.280 3% Other
% 9.54/9.71 ; 9.248 Total
% 9.54/9.71 ; 9.250 Real time
% 9.54/9.71 ;
% 9.54/9.71 ; Term-hash-array has 76,299 terms in all.
% 9.54/9.71 ; Feature-vector-row-index has 108 entries (108 at peak, 113 added, 5 deleted).
% 9.54/9.71 ; Feature-vector-row-index has 491 nodes (492 at peak, 552 added, 61 deleted).
% 9.54/9.71 ; Retrieved 117 possibly forward subsuming rows in 151 calls.
% 9.54/9.71 ; Retrieved 25 possibly backward subsumed rows in 113 calls.
% 9.54/9.71 ; Path-index has 70,820 entries (70,820 at peak, 78,991 added, 8,171 deleted).
% 9.54/9.71 ; Path-index has 2,414 nodes (2,414 at peak, 2,480 added, 66 deleted).
% 9.54/9.71 ; Trie-index has 70,820 entries (70,820 at peak, 78,991 added, 8,171 deleted).
% 9.54/9.71 ; Trie-index has 362,412 nodes (362,412 at peak, 401,221 added, 38,809 deleted).
% 9.54/9.71 ; Retrieved 142,084 generalization terms in 717,753 calls.
% 9.54/9.71 ; Retrieved 32,604 instance terms in 32,504 calls.
% 9.54/9.71 ; Retrieved 2,191,186 unifiable terms in 83,564 calls.
% 9.54/9.71 ;
% 9.54/9.71 ; The agenda of rows to process has 7 entries:
% 9.54/9.71 ; 3 with value 19 4 with value 21
% 9.54/9.71 ; The agenda of rows to give has 28755 entries:
% 9.54/9.71 ; 14 with value (4 8) 860 with value (4 19) 1576 with value (4 30)
% 9.54/9.71 ; 44 with value (4 9) 957 with value (4 20) 661 with value (4 31)
% 9.54/9.71 ; 67 with value (4 10) 1209 with value (4 21) 701 with value (4 32)
% 9.54/9.71 ; 203 with value (4 11) 1462 with value (4 22) 1651 with value (4 33)
% 9.54/9.71 ; 191 with value (4 12) 2025 with value (4 23) 539 with value (4 34)
% 9.54/9.71 ; 474 with value (4 13) 1996 with value (4 24) 221 with value (4 36)
% 9.54/9.71 ; 201 with value (4 14) 2439 with value (4 25) 1 with value (4 41)
% 9.54/9.71 ; 399 with value (4 15) 2421 with value (4 26) 7 with value (4 42)
% 9.54/9.71 ; 421 with value (4 16) 2486 with value (4 27) 1 with value (4 46)
% 9.54/9.71 ; 761 with value (4 17) 1126 with value (4 28) 1 with value (4 47)
% 9.54/9.71 ; 456 with value (4 18) 3183 with value (4 29) 1 with value (4 56)
% 9.54/9.71 Evaluation took:
% 9.54/9.71 9.253 seconds of real time
% 9.54/9.71 8.533286 seconds of user run time
% 9.54/9.71 0.718945 seconds of system run time
% 9.54/9.71 [Run times include 2.484 seconds GC run time.]
% 9.54/9.71 0 calls to %EVAL
% 9.54/9.71 0 page faults and
% 9.54/9.71 679,540,320 bytes consed.
% 9.54/9.71 :PROOF-FOUND
% 9.54/9.71 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T12:03:06
% 9.54/9.71 :PROOF-FOUND
% 9.54/9.71 *
%------------------------------------------------------------------------------