TSTP Solution File: SYN001-1.005 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN001-1.005 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 : Thu Jul 21 11:56:16 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 32
% Syntax : Number of clauses : 88 ( 6 unt; 64 nHn; 88 RR)
% Number of literals : 323 ( 0 equ; 128 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ppppp,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppp) ).
cnf(ppppn,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppn) ).
cnf(pppnp,negated_conjecture,
( p_1
| p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnp) ).
cnf(pppnn,negated_conjecture,
( p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnn) ).
cnf(ppnpp,negated_conjecture,
( p_1
| p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpp) ).
cnf(ppnpn,negated_conjecture,
( p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpn) ).
cnf(ppnnp,negated_conjecture,
( p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnp) ).
cnf(ppnnn,negated_conjecture,
( p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnn) ).
cnf(pnppp,negated_conjecture,
( p_1
| ~ p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppp) ).
cnf(pnppn,negated_conjecture,
( p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppn) ).
cnf(pnpnp,negated_conjecture,
( p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnp) ).
cnf(pnpnn,negated_conjecture,
( p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnn) ).
cnf(pnnpp,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpp) ).
cnf(pnnpn,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpn) ).
cnf(pnnnp,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnp) ).
cnf(pnnnn,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnn) ).
cnf(npppp,negated_conjecture,
( ~ p_1
| p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppp) ).
cnf(npppn,negated_conjecture,
( ~ p_1
| p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppn) ).
cnf(nppnp,negated_conjecture,
( ~ p_1
| p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnp) ).
cnf(nppnn,negated_conjecture,
( ~ p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnn) ).
cnf(npnpp,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpp) ).
cnf(npnpn,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpn) ).
cnf(npnnp,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnp) ).
cnf(npnnn,negated_conjecture,
( ~ p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnn) ).
cnf(nnppp,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppp) ).
cnf(nnppn,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppn) ).
cnf(nnpnp,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnp) ).
cnf(nnpnn,negated_conjecture,
( ~ p_1
| ~ p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnn) ).
cnf(nnnpp,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpp) ).
cnf(nnnpn,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpn) ).
cnf(nnnnp,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnp) ).
cnf(nnnnn,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnn) ).
cnf(33,plain,
( p_1
| p_2
| p_3
| p_4 ),
inference('HYPERRESOLVE',[status(thm)],[ppppn,ppppp]) ).
cnf(34,plain,
( p_1
| p_2
| p_3
| p_5 ),
inference('HYPERRESOLVE',[status(thm)],[pppnp,33]) ).
cnf(35,plain,
( p_1
| p_2
| p_3 ),
inference('HYPERRESOLVE',[status(thm)],[pppnn,34,33]) ).
cnf(36,plain,
( p_1
| p_2
| p_4
| p_5 ),
inference('HYPERRESOLVE',[status(thm)],[ppnpp,35]) ).
cnf(37,plain,
( p_1
| p_2
| p_4 ),
inference('HYPERRESOLVE',[status(thm)],[ppnpn,36,35]) ).
cnf(38,plain,
( p_1
| p_2
| p_5 ),
inference('HYPERRESOLVE',[status(thm)],[ppnnp,37,35]) ).
cnf(39,plain,
( p_1
| p_2 ),
inference('HYPERRESOLVE',[status(thm)],[ppnnn,38,35,37]) ).
cnf(40,plain,
( p_1
| p_3
| p_4
| p_5 ),
inference('HYPERRESOLVE',[status(thm)],[pnppp,39]) ).
cnf(41,plain,
( p_1
| p_3
| p_4 ),
inference('HYPERRESOLVE',[status(thm)],[pnppn,40,39]) ).
cnf(42,plain,
( p_1
| p_3
| p_5 ),
inference('HYPERRESOLVE',[status(thm)],[pnpnp,41,39]) ).
cnf(43,plain,
( p_1
| p_3 ),
inference('HYPERRESOLVE',[status(thm)],[pnpnn,42,39,41]) ).
cnf(44,plain,
( p_1
| p_4
| p_5 ),
inference('HYPERRESOLVE',[status(thm)],[pnnpp,43,39]) ).
cnf(45,plain,
( p_1
| p_4 ),
inference('HYPERRESOLVE',[status(thm)],[pnnpn,44,39,43]) ).
cnf(46,plain,
( p_1
| p_5 ),
inference('HYPERRESOLVE',[status(thm)],[pnnnp,45,39,43]) ).
cnf(47,plain,
p_1,
inference('HYPERRESOLVE',[status(thm)],[pnnnn,46,39,43,45]) ).
cnf(48,plain,
( p_2
| p_3
| p_4
| p_5 ),
inference('REWRITE',[status(thm)],[npppp,47]) ).
cnf(49,plain,
( p_2
| p_3
| p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[npppn,47]) ).
cnf(50,plain,
( p_2
| p_3
| ~ p_4
| p_5 ),
inference('REWRITE',[status(thm)],[nppnp,47]) ).
cnf(51,plain,
( p_2
| p_3
| ~ p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[nppnn,47]) ).
cnf(52,plain,
( p_2
| ~ p_3
| p_4
| p_5 ),
inference('REWRITE',[status(thm)],[npnpp,47]) ).
cnf(53,plain,
( p_2
| ~ p_3
| p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[npnpn,47]) ).
cnf(54,plain,
( p_2
| ~ p_3
| ~ p_4
| p_5 ),
inference('REWRITE',[status(thm)],[npnnp,47]) ).
cnf(55,plain,
( p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[npnnn,47]) ).
cnf(56,plain,
( ~ p_2
| p_3
| p_4
| p_5 ),
inference('REWRITE',[status(thm)],[nnppp,47]) ).
cnf(57,plain,
( ~ p_2
| p_3
| p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[nnppn,47]) ).
cnf(58,plain,
( ~ p_2
| p_3
| ~ p_4
| p_5 ),
inference('REWRITE',[status(thm)],[nnpnp,47]) ).
cnf(59,plain,
( ~ p_2
| p_3
| ~ p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[nnpnn,47]) ).
cnf(60,plain,
( ~ p_2
| ~ p_3
| p_4
| p_5 ),
inference('REWRITE',[status(thm)],[nnnpp,47]) ).
cnf(61,plain,
( ~ p_2
| ~ p_3
| p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[nnnpn,47]) ).
cnf(62,plain,
( ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
inference('REWRITE',[status(thm)],[nnnnp,47]) ).
cnf(63,plain,
( ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[nnnnn,47]) ).
cnf(64,plain,
( p_2
| p_3
| p_4 ),
inference('HYPERRESOLVE',[status(thm)],[49,48]) ).
cnf(65,plain,
( p_2
| p_3
| p_5 ),
inference('HYPERRESOLVE',[status(thm)],[50,64]) ).
cnf(66,plain,
( p_2
| p_3 ),
inference('HYPERRESOLVE',[status(thm)],[51,65,64]) ).
cnf(67,plain,
( p_2
| p_4
| p_5 ),
inference('HYPERRESOLVE',[status(thm)],[52,66]) ).
cnf(68,plain,
( p_2
| p_4 ),
inference('HYPERRESOLVE',[status(thm)],[53,67,66]) ).
cnf(69,plain,
( p_2
| p_5 ),
inference('HYPERRESOLVE',[status(thm)],[54,68,66]) ).
cnf(70,plain,
p_2,
inference('HYPERRESOLVE',[status(thm)],[55,69,66,68]) ).
cnf(71,plain,
( p_3
| p_4
| p_5 ),
inference('REWRITE',[status(thm)],[56,70]) ).
cnf(72,plain,
( p_3
| p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[57,70]) ).
cnf(73,plain,
( p_3
| ~ p_4
| p_5 ),
inference('REWRITE',[status(thm)],[58,70]) ).
cnf(74,plain,
( p_3
| ~ p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[59,70]) ).
cnf(75,plain,
( ~ p_3
| p_4
| p_5 ),
inference('REWRITE',[status(thm)],[60,70]) ).
cnf(76,plain,
( ~ p_3
| p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[61,70]) ).
cnf(77,plain,
( ~ p_3
| ~ p_4
| p_5 ),
inference('REWRITE',[status(thm)],[62,70]) ).
cnf(78,plain,
( ~ p_3
| ~ p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[63,70]) ).
cnf(79,plain,
( p_3
| p_4 ),
inference('HYPERRESOLVE',[status(thm)],[72,71]) ).
cnf(80,plain,
( p_3
| p_5 ),
inference('HYPERRESOLVE',[status(thm)],[73,79]) ).
cnf(81,plain,
p_3,
inference('HYPERRESOLVE',[status(thm)],[74,80,79]) ).
cnf(82,plain,
( p_4
| p_5 ),
inference('REWRITE',[status(thm)],[75,81]) ).
cnf(83,plain,
( p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[76,81]) ).
cnf(84,plain,
( ~ p_4
| p_5 ),
inference('REWRITE',[status(thm)],[77,81]) ).
cnf(85,plain,
( ~ p_4
| ~ p_5 ),
inference('REWRITE',[status(thm)],[78,81]) ).
cnf(86,plain,
p_4,
inference('HYPERRESOLVE',[status(thm)],[83,82]) ).
cnf(87,plain,
p_5,
inference('REWRITE',[status(thm)],[84,86]) ).
cnf(88,plain,
$false,
inference('REWRITE',[status(thm)],[85,87,86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN001-1.005 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 06:32:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T06:32:53
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-12T06:32:53
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 88 formulas have been input or derived (from 81 formulas).
% 0.20/0.53 ; 88 (100%) were retained. Of these,
% 0.20/0.53 ; 82 (93%) were simplified or subsumed later,
% 0.20/0.53 ; 6 ( 7%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.006 14% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 2% Assert (32 calls)
% 0.20/0.53 ; 0.003 7% Process new row (88 calls)
% 0.20/0.53 ; 0.002 5% Resolution (160 calls)
% 0.20/0.53 ; 0.000 0% Paramodulation (80 calls)
% 0.20/0.53 ; 0.000 0% Factoring (26 calls)
% 0.20/0.53 ; 0.000 0% Condensing (82 calls)
% 0.20/0.53 ; 0.000 0% Forward subsumption (82 calls)
% 0.20/0.53 ; 0.002 5% Backward subsumption (82 calls)
% 0.20/0.53 ; 0.000 0% Clause clause subsumption (38 calls)
% 0.20/0.53 ; 0.004 9% Forward simplification (88 calls)
% 0.20/0.53 ; 0.002 5% Backward simplification (88 calls)
% 0.20/0.53 ; 0.000 0% Ordering (130 calls)
% 0.20/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.023 53% Other
% 0.20/0.53 ; 0.043 Total
% 0.20/0.53 ; 0.051 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 0 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 0 entries (32 at peak, 82 added, 82 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 1 node (125 at peak, 269 added, 268 deleted).
% 0.20/0.53 ; Retrieved 0 possibly forward subsuming rows in 82 calls.
% 0.20/0.53 ; Retrieved 38 possibly backward subsumed rows in 82 calls.
% 0.20/0.53 ; Path-index has 5 entries (5 at peak, 15 added, 10 deleted).
% 0.20/0.53 ; Path-index has 6 nodes (6 at peak, 16 added, 10 deleted).
% 0.20/0.53 ; Trie-index has 5 entries (5 at peak, 15 added, 10 deleted).
% 0.20/0.53 ; Trie-index has 6 nodes (6 at peak, 16 added, 10 deleted).
% 0.20/0.53 ; Retrieved 5 instance terms in 5 calls.
% 0.20/0.53 ; Retrieved 487 unifiable terms in 487 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of input rows to give has 1 entry:
% 0.20/0.53 ; 1 with value 1
% 0.20/0.53 ; The agenda of rows to give has 4 entries:
% 0.20/0.53 ; 1 with value (4 2) 1 with value (4 8) 1 with value (4 16)
% 0.20/0.53 ; 1 with value (4 4)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.052 seconds of real time
% 0.20/0.53 0.040672 seconds of user run time
% 0.20/0.53 0.010661 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 6,547,328 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T06:32:53
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.53 *
%------------------------------------------------------------------------------