TSTP Solution File: RNG097+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG097+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 15.34s 15.54s
% Output : Refutation 15.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of clauses : 39 ( 27 unt; 0 nHn; 39 RR)
% Number of literals : 58 ( 18 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(2,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
cnf(3,axiom,
( ~ aElement0(X)
| aElement0(smndt0(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
cnf(7,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| sdtpldt0(sdtpldt0(X,Y),Z) = sdtpldt0(X,sdtpldt0(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
cnf(8,axiom,
( ~ aElement0(X)
| sdtpldt0(X,sz00) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
cnf(9,axiom,
( ~ aElement0(X)
| X = sdtpldt0(sz00,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
cnf(10,axiom,
( ~ aElement0(X)
| sdtpldt0(X,smndt0(X)) = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).
cnf(11,axiom,
( ~ aElement0(X)
| sz00 = sdtpldt0(smndt0(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).
cnf(17,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| sdtasdt0(sdtpldt0(Y,Z),X) = sdtpldt0(sdtasdt0(Y,X),sdtasdt0(Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
cnf(18,axiom,
( ~ aElement0(X)
| sdtasdt0(smndt0(sz10),X) = smndt0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).
cnf(21,axiom,
( ~ aElement0(X)
| sz00 = sdtasdt0(sz00,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulZero) ).
cnf(24,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,X)
| aElement0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
cnf(45,axiom,
( ~ aIdeal0(X)
| aSet0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
cnf(47,axiom,
( ~ aIdeal0(X)
| ~ aElementOf0(Y,X)
| ~ aElement0(Z)
| aElementOf0(sdtasdt0(Z,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
cnf(57,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
cnf(58,hypothesis,
aIdeal0(xJ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205) ).
cnf(60,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1217) ).
cnf(62,hypothesis,
aElementOf0(xa,xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
cnf(63,hypothesis,
aElementOf0(xb,xJ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
cnf(64,hypothesis,
sdtpldt0(xa,xb) = sz10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1294) ).
cnf(67,negated_conjecture,
~ aElementOf0(sdtasdt0(xx,sdtpldt0(xb,smndt0(sz10))),xI),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(68,plain,
aSet0(xJ),
inference('HYPERRESOLVE',[status(thm)],[45,58]) ).
cnf(69,plain,
aSet0(xI),
inference('HYPERRESOLVE',[status(thm)],[45,57]) ).
cnf(72,plain,
aElement0(smndt0(sz10)),
inference('HYPERRESOLVE',[status(thm)],[3,2]) ).
cnf(112,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference('HYPERRESOLVE',[status(thm)],[10,2]) ).
cnf(146,plain,
~ aElementOf0(sdtpldt0(xb,smndt0(sz10)),xI),
inference('UR-RESOLVE',[status(thm)],[47,57,60,67]) ).
cnf(324,plain,
aElement0(xb),
inference('HYPERRESOLVE',[status(thm)],[24,68,63]) ).
cnf(333,plain,
aElement0(xa),
inference('HYPERRESOLVE',[status(thm)],[24,69,62]) ).
cnf(401,plain,
xb = sdtpldt0(sz00,xb),
inference('HYPERRESOLVE',[status(thm)],[9,324]) ).
cnf(619,plain,
aElement0(smndt0(xa)),
inference('HYPERRESOLVE',[status(thm)],[3,333]) ).
cnf(642,plain,
sz00 = sdtasdt0(sz00,xa),
inference('HYPERRESOLVE',[status(thm)],[21,333]) ).
cnf(654,plain,
sz00 = sdtpldt0(smndt0(xa),xa),
inference('HYPERRESOLVE',[status(thm)],[11,333]) ).
cnf(662,plain,
sdtasdt0(smndt0(sz10),xa) = smndt0(xa),
inference('HYPERRESOLVE',[status(thm)],[18,333]) ).
cnf(2113,plain,
aElementOf0(smndt0(xa),xI),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[47,72,57,62]),662,theory(equality)]) ).
cnf(2115,plain,
sdtpldt0(smndt0(sz10),sz00) = smndt0(sz10),
inference('HYPERRESOLVE',[status(thm)],[8,72]) ).
cnf(2970,plain,
smndt0(xa) = sdtpldt0(smndt0(xa),sz00),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,72,333,1]),642,662,2115,theory(equality)]) ).
cnf(42876,plain,
xb = sdtpldt0(smndt0(xa),sz10),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,619,333,324]),64,401,654,theory(equality)]) ).
cnf(43088,plain,
sdtpldt0(xb,smndt0(sz10)) = smndt0(xa),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,619,2,72]),2970,112,42876,theory(equality)]) ).
cnf(43090,plain,
$false,
inference('REWRITE',[status(thm)],[146,2113,43088,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG097+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon May 30 18:05:42 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T18:05:42
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-05-30T18:05:42
% 15.34/15.54
% 15.34/15.54
% 15.34/15.54 #||
% 15.34/15.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.34/15.54 % SZS output start Refutation
% See solution above
% 15.34/15.54 ||#
% 15.34/15.54
% 15.34/15.54 ; Summary of computation:
% 15.34/15.54 ; 107913 formulas have been input or derived (from 134 formulas).
% 15.34/15.54 ; 43090 (40%) were retained. Of these,
% 15.34/15.54 ; 4382 (10%) were simplified or subsumed later,
% 15.34/15.54 ; 38708 (90%) are still being kept.
% 15.34/15.54 ;
% 15.34/15.54 ; Run time in seconds excluding printing time:
% 15.34/15.54 ; 0.008 0% Read assertion file (1 call)
% 15.34/15.54 ; 0.003 0% Assert (34 calls)
% 15.34/15.54 ; 4.900 32% Process new row (96,611 calls)
% 15.34/15.54 ; 2.681 18% Resolution (266 calls)
% 15.34/15.54 ; 0.013 0% Paramodulation (133 calls)
% 15.34/15.54 ; 0.013 0% Condensing (5,909 calls)
% 15.34/15.54 ; 1.546 10% Forward subsumption (5,909 calls)
% 15.34/15.54 ; 0.356 2% Backward subsumption (4,868 calls)
% 15.34/15.54 ; 0.455 3% Clause clause subsumption (143,190 calls)
% 15.34/15.54 ; 3.578 24% Forward simplification (96,611 calls)
% 15.34/15.54 ; 0.952 6% Backward simplification (43,090 calls)
% 15.34/15.54 ; 0.238 2% Ordering (53,935 calls)
% 15.34/15.54 ; 0.000 0% Sortal reasoning (32 calls)
% 15.34/15.54 ; 0.000 0% Purity testing (1 call)
% 15.34/15.54 ; 0.334 2% Other
% 15.34/15.54 ; 15.077 Total
% 15.34/15.54 ; 15.082 Real time
% 15.34/15.54 ;
% 15.34/15.55 ; Term-hash-array has 102,924 terms in all.
% 15.34/15.55 ; Feature-vector-row-index has 4,864 entries (4,866 at peak, 4,868 added, 4 deleted).
% 15.34/15.55 ; Feature-vector-row-index has 7,075 nodes (7,119 at peak, 7,161 added, 86 deleted).
% 15.34/15.55 ; Retrieved 117,940 possibly forward subsuming rows in 5,909 calls.
% 15.34/15.55 ; Retrieved 39,920 possibly backward subsumed rows in 4,868 calls.
% 15.34/15.55 ; Path-index has 96,491 entries (96,751 at peak, 106,022 added, 9,531 deleted).
% 15.34/15.55 ; Path-index has 3,290 nodes (3,308 at peak, 3,386 added, 96 deleted).
% 15.34/15.55 ; Trie-index has 96,491 entries (96,751 at peak, 106,022 added, 9,531 deleted).
% 15.34/15.55 ; Trie-index has 482,215 nodes (483,203 at peak, 526,693 added, 44,478 deleted).
% 15.34/15.55 ; Retrieved 165,598 generalization terms in 859,435 calls.
% 15.34/15.55 ; Retrieved 38,322 instance terms in 38,221 calls.
% 15.34/15.55 ; Retrieved 4,796,736 unifiable terms in 135,331 calls.
% 15.34/15.55 ;
% 15.34/15.55 ; The agenda of backward simplifiable rows to process has 111 entries:
% 15.34/15.55 ; 111 with value 0
% 15.34/15.55 ; The agenda of rows to process has 11099 entries:
% 15.34/15.55 ; 923 with value 23 1848 with value 27 440 with value 31
% 15.34/15.55 ; 144 with value 24 828 with value 28 484 with value 32
% 15.34/15.55 ; 2124 with value 25 1980 with value 29 968 with value 33
% 15.34/15.55 ; 480 with value 26 880 with value 30
% 15.34/15.55 ; The agenda of input rows to give has 1 entry:
% 15.34/15.55 ; 1 with value 9
% 15.34/15.55 ; The agenda of rows to give has 38576 entries:
% 15.34/15.55 ; 3 with value (4 8) 1633 with value (4 22) 319 with value (4 36)
% 15.34/15.55 ; 44 with value (4 9) 2473 with value (4 23) 96 with value (4 37)
% 15.34/15.55 ; 67 with value (4 10) 2269 with value (4 24) 56 with value (4 40)
% 15.34/15.55 ; 206 with value (4 11) 2989 with value (4 25) 1 with value (4 41)
% 15.34/15.55 ; 279 with value (4 12) 2671 with value (4 26) 7 with value (4 42)
% 15.34/15.55 ; 517 with value (4 13) 2928 with value (4 27) 976 with value (4 43)
% 15.34/15.55 ; 426 with value (4 14) 1392 with value (4 28) 480 with value (4 45)
% 15.34/15.55 ; 461 with value (4 15) 3885 with value (4 29) 1 with value (4 47)
% 15.34/15.55 ; 486 with value (4 16) 2000 with value (4 30) 64 with value (4 48)
% 15.34/15.55 ; 843 with value (4 17) 709 with value (4 31) 28 with value (4 49)
% 15.34/15.55 ; 591 with value (4 18) 961 with value (4 32) 1752 with value (4 51)
% 15.34/15.55 ; 919 with value (4 19) 1947 with value (4 33) 128 with value (4 58)
% 15.34/15.55 ; 1047 with value (4 20) 660 with value (4 34) 256 with value (4 60)
% 15.34/15.55 ; 1378 with value (4 21) 116 with value (4 35) 512 with value (4 70)
% 15.34/15.55 Evaluation took:
% 15.34/15.55 15.086 seconds of real time
% 15.34/15.55 13.994185 seconds of user run time
% 15.34/15.55 1.089171 seconds of system run time
% 15.34/15.55 [Run times include 4.178 seconds GC run time.]
% 15.34/15.55 0 calls to %EVAL
% 15.34/15.55 0 page faults and
% 15.34/15.55 1,154,295,784 bytes consed.
% 15.34/15.55 :PROOF-FOUND
% 15.34/15.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T18:05:57
% 15.34/15.55 :PROOF-FOUND
% 15.34/15.55 *
%------------------------------------------------------------------------------