TSTP Solution File: RNG090+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG090+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 20:40:45 EDT 2022
% Result : Theorem 3.58s 3.77s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of clauses : 30 ( 25 unt; 0 nHn; 30 RR)
% Number of literals : 40 ( 11 equ; 11 neg)
% Maximal clause size : 4 ( 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; 8 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| aElement0(sdtpldt0(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
cnf(6,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| sdtpldt0(X,Y) = sdtpldt0(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
cnf(7,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| sdtpldt0(sdtpldt0(X,Y),Z) = sdtpldt0(X,sdtpldt0(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
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(53,hypothesis,
aIdeal0(xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).
cnf(54,hypothesis,
aIdeal0(xJ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__870) ).
cnf(58,hypothesis,
aElementOf0(xk,xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).
cnf(59,hypothesis,
aElementOf0(xl,xJ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).
cnf(60,hypothesis,
xx = sdtpldt0(xk,xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__934) ).
cnf(61,hypothesis,
aElementOf0(xm,xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__967) ).
cnf(62,hypothesis,
aElementOf0(xn,xJ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__967) ).
cnf(63,hypothesis,
xy = sdtpldt0(xm,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__967) ).
cnf(65,hypothesis,
aElementOf0(sdtpldt0(xl,xn),xJ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__994) ).
cnf(68,negated_conjecture,
sdtpldt0(xx,xy) != sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(69,plain,
aSet0(xJ),
inference('HYPERRESOLVE',[status(thm)],[45,54]) ).
cnf(70,plain,
aSet0(xI),
inference('HYPERRESOLVE',[status(thm)],[45,53]) ).
cnf(215,plain,
aElement0(xl),
inference('HYPERRESOLVE',[status(thm)],[24,69,59]) ).
cnf(216,plain,
aElement0(xn),
inference('HYPERRESOLVE',[status(thm)],[24,69,62]) ).
cnf(219,plain,
aElement0(sdtpldt0(xl,xn)),
inference('HYPERRESOLVE',[status(thm)],[24,69,65]) ).
cnf(245,plain,
aElement0(xk),
inference('HYPERRESOLVE',[status(thm)],[24,70,58]) ).
cnf(246,plain,
aElement0(xm),
inference('HYPERRESOLVE',[status(thm)],[24,70,61]) ).
cnf(1131,plain,
aElement0(xy),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,246,216]),63,theory(equality)]) ).
cnf(1165,plain,
xy = sdtpldt0(xn,xm),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,246,216]),63,theory(equality)]) ).
cnf(1226,plain,
sdtpldt0(sdtpldt0(xm,xl),xn) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference('HYPERRESOLVE',[status(thm)],[7,246,215,216]) ).
cnf(1363,plain,
sdtpldt0(sdtpldt0(xl,xn),xm) = sdtpldt0(xl,xy),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,246,215,216]),1165,theory(equality)]) ).
cnf(4845,plain,
sdtpldt0(xx,xy) = sdtpldt0(xk,sdtpldt0(xl,xy)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,1131,245,215]),60,theory(equality)]) ).
cnf(14248,plain,
sdtpldt0(xl,xy) = sdtpldt0(sdtpldt0(xm,xl),xn),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,219,246]),1226,1363,theory(equality)]) ).
cnf(14249,plain,
sdtpldt0(xl,xy) = sdtpldt0(xm,sdtpldt0(xl,xn)),
inference('REWRITE',[status(thm)],[1226,14248,theory(equality)]) ).
cnf(14497,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,219,245,246]),68,4845,14249,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG090+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n017.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon May 30 09:35:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-05-30T09:35:10
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-30T09:35:10
% 3.58/3.77
% 3.58/3.77
% 3.58/3.77 #||
% 3.58/3.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.58/3.77 % SZS output start Refutation
% See solution above
% 3.58/3.77 ||#
% 3.58/3.77
% 3.58/3.77 ; Summary of computation:
% 3.58/3.77 ; 41630 formulas have been input or derived (from 105 formulas).
% 3.58/3.77 ; 14497 (35%) were retained. Of these,
% 3.58/3.77 ; 1430 (10%) were simplified or subsumed later,
% 3.58/3.77 ; 13067 (90%) are still being kept.
% 3.58/3.77 ;
% 3.58/3.77 ; Run time in seconds excluding printing time:
% 3.58/3.77 ; 0.007 0% Read assertion file (1 call)
% 3.58/3.77 ; 0.003 0% Assert (31 calls)
% 3.58/3.77 ; 1.353 41% Process new row (35,692 calls)
% 3.58/3.77 ; 0.606 18% Resolution (208 calls)
% 3.58/3.77 ; 0.005 0% Paramodulation (104 calls)
% 3.58/3.77 ; 0.002 0% Condensing (510 calls)
% 3.58/3.77 ; 0.033 1% Forward subsumption (510 calls)
% 3.58/3.77 ; 0.033 1% Backward subsumption (355 calls)
% 3.58/3.77 ; 0.001 0% Clause clause subsumption (1,166 calls)
% 3.58/3.77 ; 0.867 26% Forward simplification (35,692 calls)
% 3.58/3.77 ; 0.180 5% Backward simplification (14,497 calls)
% 3.58/3.77 ; 0.078 2% Ordering (14,150 calls)
% 3.58/3.77 ; 0.001 0% Sortal reasoning (32 calls)
% 3.58/3.77 ; 0.000 0% Purity testing (1 call)
% 3.58/3.77 ; 0.136 4% Other
% 3.58/3.77 ; 3.305 Total
% 3.58/3.77 ; 3.307 Real time
% 3.58/3.77 ;
% 3.58/3.77 ; Term-hash-array has 34,514 terms in all.
% 3.58/3.77 ; Feature-vector-row-index has 355 entries (355 at peak, 355 added, 0 deleted).
% 3.58/3.77 ; Feature-vector-row-index has 1,380 nodes (1,380 at peak, 1,380 added, 0 deleted).
% 3.58/3.77 ; Retrieved 1,379 possibly forward subsuming rows in 510 calls.
% 3.58/3.77 ; Retrieved 172 possibly backward subsumed rows in 355 calls.
% 3.58/3.77 ; Path-index has 32,363 entries (32,363 at peak, 35,465 added, 3,102 deleted).
% 3.58/3.77 ; Path-index has 2,998 nodes (2,998 at peak, 3,076 added, 78 deleted).
% 3.58/3.77 ; Trie-index has 32,363 entries (32,363 at peak, 35,465 added, 3,102 deleted).
% 3.58/3.77 ; Trie-index has 137,089 nodes (137,089 at peak, 150,008 added, 12,919 deleted).
% 3.58/3.77 ; Retrieved 62,388 generalization terms in 271,303 calls.
% 3.58/3.77 ; Retrieved 14,189 instance terms in 14,141 calls.
% 3.58/3.77 ; Retrieved 916,678 unifiable terms in 36,818 calls.
% 3.58/3.77 ;
% 3.58/3.77 ; The agenda of rows to process has 5876 entries:
% 3.58/3.77 ; 320 with value 22 1196 with value 26 876 with value 30
% 3.58/3.77 ; 384 with value 23 512 with value 27 240 with value 31
% 3.58/3.77 ; 728 with value 24 664 with value 28 160 with value 32
% 3.58/3.77 ; 352 with value 25 144 with value 29 300 with value 34
% 3.58/3.77 ; The agenda of rows to give has 12962 entries:
% 3.58/3.77 ; 18 with value (4 8) 1114 with value (4 22) 25 with value (4 36)
% 3.58/3.77 ; 74 with value (4 9) 1047 with value (4 23) 24 with value (4 37)
% 3.58/3.77 ; 124 with value (4 10) 848 with value (4 24) 2 with value (4 40)
% 3.58/3.77 ; 131 with value (4 11) 825 with value (4 25) 2 with value (4 41)
% 3.58/3.77 ; 169 with value (4 12) 690 with value (4 26) 5 with value (4 42)
% 3.58/3.77 ; 304 with value (4 13) 731 with value (4 27) 52 with value (4 43)
% 3.58/3.77 ; 320 with value (4 14) 282 with value (4 28) 24 with value (4 45)
% 3.58/3.77 ; 407 with value (4 15) 272 with value (4 29) 16 with value (4 48)
% 3.58/3.77 ; 508 with value (4 16) 298 with value (4 30) 7 with value (4 49)
% 3.58/3.77 ; 684 with value (4 17) 149 with value (4 31) 18 with value (4 51)
% 3.58/3.77 ; 865 with value (4 18) 56 with value (4 32) 8 with value (4 58)
% 3.58/3.77 ; 619 with value (4 19) 112 with value (4 33) 16 with value (4 60)
% 3.58/3.77 ; 1263 with value (4 20) 14 with value (4 34) 8 with value (4 70)
% 3.58/3.77 ; 807 with value (4 21) 24 with value (4 35)
% 3.58/3.77 Evaluation took:
% 3.58/3.77 3.309 seconds of real time
% 3.58/3.77 3.04702 seconds of user run time
% 3.58/3.77 0.262106 seconds of system run time
% 3.58/3.77 [Run times include 0.644 seconds GC run time.]
% 3.58/3.77 0 calls to %EVAL
% 3.58/3.77 0 page faults and
% 3.58/3.77 272,239,688 bytes consed.
% 3.58/3.77 :PROOF-FOUND
% 3.58/3.77 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T09:35:13
% 3.58/3.77 :PROOF-FOUND
% 3.58/3.77 *
%------------------------------------------------------------------------------