%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM487+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 14:10:59 EDT 2022
% Result : Theorem 0.69s 0.86s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 14
% Syntax : Number of clauses : 22 ( 14 unt; 0 nHn; 22 RR)
% Number of literals : 44 ( 16 equ; 26 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(6,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtpldt0(X,Y) = sdtpldt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
cnf(9,axiom,
( ~ aNaturalNumber0(X)
| X = sdtpldt0(sz00,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
cnf(19,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtpldt0(Y,X) != sdtpldt0(Z,X)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
cnf(27,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtlseqdt0(X,Y)
| ~ aNaturalNumber0(Z)
| sdtpldt0(X,Z) != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
cnf(28,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ sdtlseqdt0(X,Y)
| Z != sdtmndt0(Y,X)
| aNaturalNumber0(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
cnf(29,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ sdtlseqdt0(X,Y)
| Z != sdtmndt0(Y,X)
| sdtpldt0(X,Z) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
cnf(54,axiom,
( ~ aNaturalNumber0(X)
| ~ isPrime0(X)
| X != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrime) ).
cnf(64,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(66,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(68,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
cnf(70,hypothesis,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
cnf(71,hypothesis,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
cnf(72,negated_conjecture,
( xr = xn
| ~ sdtlseqdt0(xr,xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(104,plain,
xp != sz00,
inference('UR-RESOLVE',[status(thm)],[54,66,68]) ).
cnf(185,plain,
aNaturalNumber0(xr),
inference('HYPERRESOLVE',[status(thm)],[28,66,64,70,71]) ).
cnf(355,plain,
sdtpldt0(xp,xr) = xn,
inference('HYPERRESOLVE',[status(thm)],[29,66,64,70,71]) ).
cnf(614,plain,
xr = sdtpldt0(sz00,xr),
inference('HYPERRESOLVE',[status(thm)],[9,185]) ).
cnf(626,plain,
sdtpldt0(xr,xp) = xn,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,185,66]),355,theory(equality)]) ).
cnf(986,plain,
xr != xn,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[19,104,185,66,1]),614,355,theory(equality)]) ).
cnf(987,plain,
~ sdtlseqdt0(xr,xn),
inference('REWRITE',[status(thm)],[72,986]) ).
cnf(999,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[27,987,185,64,66]),626,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM487+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n006.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 : Wed Jul 6 13:31:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-07-06T13:31:37
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-06T13:31:37
% 0.69/0.86
% 0.69/0.86
% 0.69/0.86 #||
% 0.69/0.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.86 % SZS output start Refutation
% See solution above
% 0.69/0.87 ||#
% 0.69/0.87
% 0.69/0.87 ; Summary of computation:
% 0.69/0.87 ; 3185 formulas have been input or derived (from 83 formulas).
% 0.69/0.87 ; 999 (31%) were retained. Of these,
% 0.69/0.87 ; 78 ( 8%) were simplified or subsumed later,
% 0.69/0.87 ; 921 (92%) are still being kept.
% 0.69/0.87 ;
% 0.69/0.87 ; Run time in seconds excluding printing time:
% 0.69/0.87 ; 0.012 3% Read assertion file (1 call)
% 0.69/0.87 ; 0.003 1% Assert (44 calls)
% 0.69/0.87 ; 0.069 18% Process new row (3,087 calls)
% 0.69/0.87 ; 0.196 50% Resolution (164 calls)
% 0.69/0.87 ; 0.001 0% Paramodulation (82 calls)
% 0.69/0.87 ; 0.005 1% Condensing (156 calls)
% 0.69/0.87 ; 0.002 1% Forward subsumption (156 calls)
% 0.69/0.87 ; 0.002 1% Backward subsumption (136 calls)
% 0.69/0.87 ; 0.000 0% Clause clause subsumption (116 calls)
% 0.69/0.87 ; 0.049 13% Forward simplification (3,087 calls)
% 0.69/0.87 ; 0.016 4% Backward simplification (999 calls)
% 0.69/0.87 ; 0.002 1% Ordering (868 calls)
% 0.69/0.87 ; 0.000 0% Sortal reasoning (32 calls)
% 0.69/0.87 ; 0.000 0% Purity testing (1 call)
% 0.69/0.87 ; 0.034 9% Other
% 0.69/0.87 ; 0.391 Total
% 0.69/0.87 ; 0.400 Real time
% 0.69/0.87 ;
% 0.69/0.87 ; Term-hash-array has 2,137 terms in all.
% 0.69/0.87 ; Feature-vector-row-index has 117 entries (126 at peak, 136 added, 19 deleted).
% 0.69/0.87 ; Feature-vector-row-index has 476 nodes (496 at peak, 553 added, 77 deleted).
% 0.69/0.87 ; Retrieved 89 possibly forward subsuming rows in 156 calls.
% 0.69/0.87 ; Retrieved 29 possibly backward subsumed rows in 136 calls.
% 0.69/0.87 ; Path-index has 2,033 entries (2,033 at peak, 2,194 added, 161 deleted).
% 0.69/0.87 ; Path-index has 782 nodes (782 at peak, 799 added, 17 deleted).
% 0.69/0.87 ; Trie-index has 2,033 entries (2,033 at peak, 2,194 added, 161 deleted).
% 0.69/0.87 ; Trie-index has 5,856 nodes (5,856 at peak, 6,301 added, 445 deleted).
% 0.69/0.87 ; Retrieved 4,834 generalization terms in 14,034 calls.
% 0.69/0.87 ; Retrieved 862 instance terms in 862 calls.
% 0.69/0.87 ; Retrieved 314,071 unifiable terms in 23,323 calls.
% 0.69/0.87 ;
% 0.69/0.87 ; The agenda of rows to process has 4 entries:
% 0.69/0.87 ; 4 with value 9
% 0.69/0.87 ; The agenda of rows to give has 839 entries:
% 0.69/0.87 ; 3 with value (4 5) 53 with value (4 11) 45 with value (4 17)
% 0.69/0.87 ; 9 with value (4 6) 43 with value (4 12) 78 with value (4 18)
% 0.69/0.87 ; 24 with value (4 7) 99 with value (4 13) 17 with value (4 19)
% 0.69/0.87 ; 70 with value (4 8) 78 with value (4 14) 21 with value (4 20)
% 0.69/0.87 ; 33 with value (4 9) 114 with value (4 15) 15 with value (4 21)
% 0.69/0.87 ; 18 with value (4 10) 119 with value (4 16)
% 0.69/0.87 Evaluation took:
% 0.69/0.87 0.4 seconds of real time
% 0.69/0.87 0.368586 seconds of user run time
% 0.69/0.87 0.03195 seconds of system run time
% 0.69/0.87 [Run times include 0.016 seconds GC run time.]
% 0.69/0.87 0 calls to %EVAL
% 0.69/0.87 0 page faults and
% 0.69/0.87 25,735,984 bytes consed.
% 0.69/0.87 :PROOF-FOUND
% 0.69/0.87 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T13:31:37
% 0.69/0.87 :PROOF-FOUND
% 0.69/0.87 *
%------------------------------------------------------------------------------