%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM479+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 14:10:55 EDT 2022
% Result : Theorem 79.74s 79.94s
% Output : Refutation 79.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of clauses : 21 ( 17 unt; 1 nHn; 21 RR)
% Number of literals : 34 ( 15 equ; 16 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| aNaturalNumber0(sdtasdt0(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(10,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
cnf(11,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtasdt0(sdtasdt0(X,Y),Z) = sdtasdt0(X,sdtasdt0(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
cnf(47,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| Z = sdtsldt0(Y,X)
| ~ aNaturalNumber0(Z)
| Y != sdtasdt0(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
cnf(52,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1524) ).
cnf(53,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1524) ).
cnf(54,hypothesis,
xl != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1524_04) ).
cnf(55,hypothesis,
aNaturalNumber0('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1524_04) ).
cnf(56,hypothesis,
xm = sdtasdt0(xl,'SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1524_04) ).
cnf(57,hypothesis,
doDivides0(xl,xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1524_04) ).
cnf(58,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1553) ).
cnf(62,negated_conjecture,
sdtasdt0(xn,xm) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(63,negated_conjecture,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(xl,sdtsldt0(sdtasdt0(xn,xm),xl)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(64,plain,
sdtasdt0(sdtasdt0(xl,xn),sdtsldt0(xm,xl)) != sdtasdt0(xn,xm),
inference('REWRITE',[status(thm)],[63,62,theory(equality)]) ).
cnf(166,plain,
aNaturalNumber0(sdtasdt0(xn,'SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[5,58,55]) ).
cnf(251,plain,
sdtasdt0('SKOLEMAAAV3',xl) = xm,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,55,52]),56,theory(equality)]) ).
cnf(819,plain,
sdtasdt0(sdtasdt0(xn,'SKOLEMAAAV3'),xl) = sdtasdt0(xn,xm),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,58,55,52]),251,theory(equality)]) ).
cnf(880,plain,
sdtasdt0(sdtasdt0(xl,xn),'SKOLEMAAAV3') = sdtasdt0(xl,sdtasdt0(xn,'SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[11,52,58,55]) ).
cnf(2227,plain,
'SKOLEMAAAV3' = sdtsldt0(xm,xl),
inference('UR-RESOLVE',[status(thm)],[47,52,53,54,57,55,56]) ).
cnf(2228,plain,
sdtasdt0(sdtasdt0(xl,xn),'SKOLEMAAAV3') != sdtasdt0(xn,xm),
inference('REWRITE',[status(thm)],[64,2227,theory(equality)]) ).
cnf(82499,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[10,166,52]),2228,880,819,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM479+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 23:03:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-07T23:03:23
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-07T23:03:23
% 0.19/0.50 WARNING:
% 0.19/0.50 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 79.74/79.94
% 79.74/79.94
% 79.74/79.94 #||
% 79.74/79.94 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 79.74/79.94 % SZS output start Refutation
% See solution above
% 79.74/79.94 ||#
% 79.74/79.94
% 79.74/79.94 ; Summary of computation:
% 79.74/79.94 ; 213438 formulas have been input or derived (from 94 formulas).
% 79.74/79.94 ; 82499 (39%) were retained. Of these,
% 79.74/79.94 ; 9816 (12%) were simplified or subsumed later,
% 79.74/79.94 ; 72683 (88%) are still being kept.
% 79.74/79.94 ;
% 79.74/79.94 ; Run time in seconds excluding printing time:
% 79.74/79.94 ; 0.012 0% Read assertion file (1 call)
% 79.74/79.94 ; 0.002 0% Assert (39 calls)
% 79.74/79.94 ; 13.687 17% Process new row (190,610 calls)
% 79.74/79.94 ; 52.822 66% Resolution (186 calls)
% 79.74/79.94 ; 0.003 0% Paramodulation (93 calls)
% 79.74/79.94 ; 0.003 0% Condensing (1,189 calls)
% 79.74/79.94 ; 0.054 0% Forward subsumption (1,189 calls)
% 79.74/79.94 ; 0.046 0% Backward subsumption (811 calls)
% 79.74/79.94 ; 0.003 0% Clause clause subsumption (2,671 calls)
% 79.74/79.94 ; 8.977 11% Forward simplification (190,606 calls)
% 79.74/79.94 ; 2.525 3% Backward simplification (82,498 calls)
% 79.74/79.94 ; 0.688 1% Ordering (80,583 calls)
% 79.74/79.94 ; 0.000 0% Sortal reasoning (32 calls)
% 79.74/79.94 ; 0.001 0% Purity testing (1 call)
% 79.74/79.94 ; 0.633 1% Other
% 79.74/79.94 ; 79.456 Total
% 79.74/79.94 ; 79.470 Real time
% 79.74/79.95 ;
% 79.74/79.95 ; Term-hash-array has 192,001 terms in all.
% 79.74/79.95 ; Feature-vector-row-index has 765 entries (765 at peak, 811 added, 46 deleted).
% 79.74/79.95 ; Feature-vector-row-index has 1,831 nodes (1,831 at peak, 2,070 added, 239 deleted).
% 79.74/79.95 ; Retrieved 4,168 possibly forward subsuming rows in 1,189 calls.
% 79.74/79.95 ; Retrieved 2,058 possibly backward subsumed rows in 811 calls.
% 79.74/79.95 ; Path-index has 177,933 entries (177,933 at peak, 199,577 added, 21,644 deleted).
% 79.74/79.95 ; Path-index has 2,311 nodes (2,311 at peak, 2,413 added, 102 deleted).
% 79.74/79.95 ; Trie-index has 177,933 entries (177,933 at peak, 199,577 added, 21,644 deleted).
% 79.74/79.95 ; Trie-index has 999,686 nodes (999,686 at peak, 1,125,399 added, 125,713 deleted).
% 79.74/79.95 ; Retrieved 284,239 generalization terms in 1,870,707 calls.
% 79.74/79.95 ; Retrieved 82,229 instance terms in 81,686 calls.
% 79.74/79.95 ; Retrieved 35,042,914 unifiable terms in 1,126,031 calls.
% 79.74/79.95 ;
% 79.74/79.95 ; The agenda of rows to process has 19319 entries:
% 79.74/79.95 ; 68 with value 16 1 with value 26 552 with value 34
% 79.74/79.95 ; 132 with value 18 1024 with value 27 48 with value 36
% 79.74/79.95 ; 6 with value 19 1 with value 28 348 with value 38
% 79.74/79.95 ; 224 with value 20 7309 with value 29 168 with value 40
% 79.74/79.95 ; 434 with value 21 144 with value 30 4 with value 42
% 79.74/79.95 ; 332 with value 23 48 with value 32 8 with value 44
% 79.74/79.95 ; 3176 with value 25 5292 with value 33
% 79.74/79.95 ; The agenda of rows to give has 72592 entries:
% 79.74/79.95 ; 13 with value (4 7) 948 with value (4 20) 10506 with value (4 33)
% 79.74/79.95 ; 85 with value (4 8) 1628 with value (4 21) 3105 with value (4 34)
% 79.74/79.95 ; 51 with value (4 9) 15 with value (4 22) 2 with value (4 35)
% 79.74/79.95 ; 20 with value (4 10) 3764 with value (4 23) 5194 with value (4 36)
% 79.74/79.95 ; 295 with value (4 11) 366 with value (4 24) 5 with value (4 37)
% 79.74/79.95 ; 127 with value (4 12) 8000 with value (4 25) 1682 with value (4 38)
% 79.74/79.95 ; 819 with value (4 13) 910 with value (4 26) 8 with value (4 39)
% 79.74/79.95 ; 125 with value (4 14) 4096 with value (4 27) 520 with value (4 40)
% 79.74/79.95 ; 612 with value (4 15) 2322 with value (4 28) 1 with value (4 41)
% 79.74/79.95 ; 598 with value (4 16) 16057 with value (4 29) 184 with value (4 42)
% 79.74/79.95 ; 1240 with value (4 17) 2748 with value (4 30) 72 with value (4 44)
% 79.74/79.95 ; 273 with value (4 18) 24 with value (4 31) 1 with value (4 45)
% 79.74/79.95 ; 934 with value (4 19) 5242 with value (4 32)
% 79.74/79.95 Evaluation took:
% 79.74/79.95 79.48 seconds of real time
% 79.74/79.95 76.89739 seconds of user run time
% 79.74/79.95 2.571253 seconds of system run time
% 79.74/79.95 [Run times include 14.104 seconds GC run time.]
% 79.74/79.95 0 calls to %EVAL
% 79.74/79.95 0 page faults and
% 79.74/79.95 2,726,527,520 bytes consed.
% 79.74/79.95 :PROOF-FOUND
% 79.74/79.95 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-07T23:04:43
% 79.74/79.95 :PROOF-FOUND
% 79.74/79.95 *
%------------------------------------------------------------------------------