TSTP Solution File: SWV466+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV466+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 : Wed Jul 20 21:34:28 EDT 2022
% Result : Theorem 1.22s 1.39s
% Output : Refutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 28
% Syntax : Number of clauses : 57 ( 44 unt; 6 nHn; 52 RR)
% Number of literals : 85 ( 34 equ; 36 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 12 con; 0-2 aty)
% Number of variables : 33 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
leq(host(X),nbr_proc),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
cnf(16,axiom,
m_Ack(X,Y) != m_Ldr(Z),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_14) ).
cnf(54,axiom,
( elem(X,cons(Y,Z))
| X != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
cnf(56,axiom,
( ~ elem(X,snoc(Y,Z))
| X = Z
| elem(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
cnf(83,axiom,
~ leq(s(X),X),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
cnf(84,axiom,
leq(X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
cnf(85,axiom,
( leq(X,Y)
| leq(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
cnf(86,axiom,
( ~ leq(X,Y)
| ~ leq(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
cnf(89,axiom,
( ~ leq(X,Y)
| leq(s(X),s(Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_63) ).
cnf(90,axiom,
( leq(X,Y)
| ~ leq(s(X),s(Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_63) ).
cnf(91,axiom,
( ~ leq(X,s(Y))
| X = s(Y)
| leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
cnf(95,negated_conjecture,
( ~ elem(m_Down(X),queue(host(Y)))
| host(X) != host(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(104,negated_conjecture,
( leq(host(X),host(Y))
| ~ setIn(X,alive)
| ~ setIn(Y,alive)
| index(status,host(X)) != elec_2
| index(status,host(Y)) != elec_2
| leq(index(pendack,host(Y)),host(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(105,negated_conjecture,
( ~ setIn(X,alive)
| ~ setIn(Y,alive)
| host(Y) != host(Z)
| index(status,host(X)) != elec_2
| index(status,host(Y)) != elec_2
| ~ elem(m_Ack(X,Z),queue(host(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(106,negated_conjecture,
( leq(host(X),host(Y))
| ~ setIn(X,alive)
| ~ setIn(Y,alive)
| index(status,host(X)) != elec_2
| index(status,host(Y)) != elec_2
| ~ leq(index(pendack,host(X)),index(pendack,host(Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(113,negated_conjecture,
queue(host('SKOLEMAAAV6')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(116,negated_conjecture,
index(status,host('SKOLEMAAAV6')) = elec_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(117,negated_conjecture,
host('SKOLEMAAAV7') = index(pendack,host('SKOLEMAAAV6')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(118,negated_conjecture,
leq(nbr_proc,index(pendack,host('SKOLEMAAAV6'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(119,plain,
leq(nbr_proc,host('SKOLEMAAAV7')),
inference('REWRITE',[status(thm)],[118,117,theory(equality)]) ).
cnf(121,negated_conjecture,
host('SKOLEMAAAV6') = host('SKOLEMAAAV10'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(123,negated_conjecture,
host('SKOLEMAAAV6') != host('SKOLEMAAAV13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(124,plain,
host('SKOLEMAAAV10') != host('SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[123,121,theory(equality)]) ).
cnf(125,negated_conjecture,
setIn('SKOLEMAAAV13',alive),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(126,negated_conjecture,
leq(nbr_proc,s(index(pendack,host('SKOLEMAAAV13')))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(128,negated_conjecture,
elem(m_Ack('SKOLEMAAAV13','SKOLEMAAAV11'),snoc(queue(host('SKOLEMAAAV13')),m_Ldr('SKOLEMAAAV6'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(129,negated_conjecture,
index(status,host('SKOLEMAAAV13')) = elec_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(130,negated_conjecture,
host('SKOLEMAAAV11') = index(pendack,host('SKOLEMAAAV13')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(131,negated_conjecture,
host('SKOLEMAAAV12') = s(index(pendack,host('SKOLEMAAAV13'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(132,plain,
host('SKOLEMAAAV12') = s(host('SKOLEMAAAV11')),
inference('REWRITE',[status(thm)],[131,130,theory(equality)]) ).
cnf(133,negated_conjecture,
setIn('SKOLEMAAAV10',alive),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(134,plain,
leq(nbr_proc,host('SKOLEMAAAV12')),
inference('REWRITE',[status(thm)],[126,132,130,theory(equality)]) ).
cnf(135,plain,
queue(host('SKOLEMAAAV10')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[113,121,theory(equality)]) ).
cnf(137,plain,
index(status,host('SKOLEMAAAV10')) = elec_2,
inference('REWRITE',[status(thm)],[116,121,theory(equality)]) ).
cnf(138,plain,
host('SKOLEMAAAV7') = index(pendack,host('SKOLEMAAAV10')),
inference('REWRITE',[status(thm)],[117,121,theory(equality)]) ).
cnf(146,plain,
~ leq(host('SKOLEMAAAV12'),host('SKOLEMAAAV11')),
inference('PARAMODULATE',[status(thm)],[83,132,theory(equality)]) ).
cnf(276,plain,
elem(X,cons(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[54,theory(equality)]) ).
cnf(295,plain,
host('SKOLEMAAAV7') = nbr_proc,
inference('HYPERRESOLVE',[status(thm)],[86,6,119]) ).
cnf(296,plain,
nbr_proc = index(pendack,host('SKOLEMAAAV10')),
inference('REWRITE',[status(thm)],[138,295,theory(equality)]) ).
cnf(297,plain,
host('SKOLEMAAAV12') = nbr_proc,
inference('HYPERRESOLVE',[status(thm)],[86,6,134]) ).
cnf(298,plain,
nbr_proc = s(host('SKOLEMAAAV11')),
inference('REWRITE',[status(thm)],[132,297,theory(equality)]) ).
cnf(299,plain,
~ leq(nbr_proc,host('SKOLEMAAAV11')),
inference('REWRITE',[status(thm)],[146,297,theory(equality)]) ).
cnf(455,plain,
elem(m_Ack('SKOLEMAAAV13','SKOLEMAAAV11'),queue(host('SKOLEMAAAV13'))),
inference('UR-RESOLVE',[status(thm)],[56,128,16]) ).
cnf(523,plain,
( leq(host('SKOLEMAAAV10'),host('SKOLEMAAAV13'))
| leq(host('SKOLEMAAAV11'),host('SKOLEMAAAV10')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[104,133,125,137,129]),130,theory(equality)]) ).
cnf(538,plain,
leq(host('SKOLEMAAAV13'),host('SKOLEMAAAV10')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[106,125,133,129,137,85]),299,130,296,theory(equality)]) ).
cnf(971,plain,
elem(m_Down('SKOLEMAAAV7'),queue(host('SKOLEMAAAV10'))),
inference('PARAMODULATE',[status(thm)],[276,135,theory(equality)]) ).
cnf(1041,plain,
~ leq(host('SKOLEMAAAV10'),host('SKOLEMAAAV13')),
inference('UR-RESOLVE',[status(thm)],[86,538,124]) ).
cnf(1042,plain,
leq(host('SKOLEMAAAV11'),host('SKOLEMAAAV10')),
inference('REWRITE',[status(thm)],[523,1041]) ).
cnf(1076,plain,
leq(nbr_proc,s(host('SKOLEMAAAV10'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[89,1042]),298,theory(equality)]) ).
cnf(1629,plain,
( nbr_proc = s(host('SKOLEMAAAV10'))
| leq(nbr_proc,host('SKOLEMAAAV10')) ),
inference('HYPERRESOLVE',[status(thm)],[91,1076]) ).
cnf(4431,plain,
host('SKOLEMAAAV10') != host('SKOLEMAAAV11'),
inference('UR-RESOLVE',[status(thm)],[105,455,125,133,129,137]) ).
cnf(4466,plain,
~ leq(host('SKOLEMAAAV10'),host('SKOLEMAAAV11')),
inference('UR-RESOLVE',[status(thm)],[86,4431,1042]) ).
cnf(4491,plain,
~ leq(s(host('SKOLEMAAAV10')),nbr_proc),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[90,4466]),298,theory(equality)]) ).
cnf(5497,plain,
nbr_proc != host('SKOLEMAAAV10'),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[95,971]),295,theory(equality)]) ).
cnf(5499,plain,
~ leq(nbr_proc,host('SKOLEMAAAV10')),
inference('UR-RESOLVE',[status(thm)],[86,5497,6]) ).
cnf(5500,plain,
nbr_proc = s(host('SKOLEMAAAV10')),
inference('REWRITE',[status(thm)],[1629,5499]) ).
cnf(5503,plain,
$false,
inference('REWRITE',[status(thm)],[4491,84,5500,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV466+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Wed Jun 15 20:22:35 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T20:22:36
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-15T20:22:36
% 1.22/1.39
% 1.22/1.39
% 1.22/1.39 #||
% 1.22/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.22/1.39 % SZS output start Refutation
% See solution above
% 1.22/1.40 ||#
% 1.22/1.40
% 1.22/1.40 ; Summary of computation:
% 1.22/1.40 ; 10269 formulas have been input or derived (from 402 formulas).
% 1.22/1.40 ; 5503 (54%) were retained. Of these,
% 1.22/1.40 ; 75 ( 1%) were simplified or subsumed later,
% 1.22/1.40 ; 5428 (99%) are still being kept.
% 1.22/1.40 ;
% 1.22/1.40 ; Run time in seconds excluding printing time:
% 1.22/1.40 ; 0.019 2% Read assertion file (1 call)
% 1.22/1.40 ; 0.005 1% Assert (67 calls)
% 1.22/1.40 ; 0.308 34% Process new row (8,507 calls)
% 1.22/1.40 ; 0.219 25% Resolution (802 calls)
% 1.22/1.40 ; 0.017 2% Paramodulation (401 calls)
% 1.22/1.40 ; 0.000 0% Factoring (7 calls)
% 1.22/1.40 ; 0.007 1% Condensing (538 calls)
% 1.22/1.40 ; 0.024 3% Forward subsumption (538 calls)
% 1.22/1.40 ; 0.020 2% Backward subsumption (344 calls)
% 1.22/1.40 ; 0.008 1% Clause clause subsumption (862 calls)
% 1.22/1.40 ; 0.157 18% Forward simplification (8,491 calls)
% 1.22/1.40 ; 0.048 5% Backward simplification (5,500 calls)
% 1.22/1.40 ; 0.001 0% Ordering (1,676 calls)
% 1.22/1.40 ; 0.000 0% Sortal reasoning (32 calls)
% 1.22/1.40 ; 0.001 0% Purity testing (1 call)
% 1.22/1.40 ; 0.059 7% Other
% 1.22/1.40 ; 0.893 Total
% 1.22/1.40 ; 0.897 Real time
% 1.22/1.40 ;
% 1.22/1.40 ; Term-hash-array has 9,724 terms in all.
% 1.22/1.40 ; Feature-vector-row-index has 327 entries (330 at peak, 344 added, 17 deleted).
% 1.22/1.40 ; Feature-vector-row-index has 2,753 nodes (2,771 at peak, 2,870 added, 117 deleted).
% 1.22/1.40 ; Retrieved 1,209 possibly forward subsuming rows in 538 calls.
% 1.22/1.40 ; Retrieved 80 possibly backward subsumed rows in 344 calls.
% 1.22/1.40 ; Path-index has 9,654 entries (9,687 at peak, 9,765 added, 111 deleted).
% 1.22/1.40 ; Path-index has 7,683 nodes (7,699 at peak, 7,764 added, 81 deleted).
% 1.22/1.40 ; Trie-index has 9,654 entries (9,687 at peak, 9,765 added, 111 deleted).
% 1.22/1.40 ; Trie-index has 29,222 nodes (29,304 at peak, 29,508 added, 286 deleted).
% 1.22/1.40 ; Retrieved 15,227 generalization terms in 37,143 calls.
% 1.22/1.40 ; Retrieved 5,209 instance terms in 5,155 calls.
% 1.22/1.40 ; Retrieved 192,376 unifiable terms in 10,250 calls.
% 1.22/1.40 ;
% 1.22/1.40 ; The agenda of backward simplifiable rows to process has 2 entries:
% 1.22/1.40 ; 2 with value 0
% 1.22/1.40 ; The agenda of rows to process has 21 entries:
% 1.22/1.40 ; 2 with value 12 6 with value 15 2 with value 19
% 1.22/1.40 ; 7 with value 13 4 with value 17
% 1.22/1.40 ; The agenda of rows to give has 5038 entries:
% 1.22/1.40 ; 1 with value (4 10) 127 with value (4 23) 10 with value (4 43)
% 1.22/1.40 ; 31 with value (4 11) 10 with value (4 24) 10 with value (4 44)
% 1.22/1.40 ; 326 with value (4 12) 8 with value (4 26) 6 with value (4 47)
% 1.22/1.40 ; 152 with value (4 13) 1 with value (4 27) 2 with value (4 50)
% 1.22/1.40 ; 325 with value (4 14) 1 with value (4 28) 2 with value (4 51)
% 1.22/1.40 ; 691 with value (4 15) 1 with value (4 29) 6 with value (4 52)
% 1.22/1.40 ; 840 with value (4 16) 2 with value (4 30) 7 with value (4 53)
% 1.22/1.40 ; 461 with value (4 17) 16 with value (4 31) 3 with value (4 55)
% 1.22/1.40 ; 879 with value (4 18) 1 with value (4 35) 3 with value (4 56)
% 1.22/1.40 ; 762 with value (4 19) 3 with value (4 39) 1 with value (4 60)
% 1.22/1.40 ; 80 with value (4 20) 2 with value (4 40) 2 with value (4 78)
% 1.22/1.40 ; 99 with value (4 21) 4 with value (4 41) 2 with value (4 85)
% 1.22/1.40 ; 151 with value (4 22) 4 with value (4 42) 6 with value (4 89)
% 1.22/1.40 Evaluation took:
% 1.22/1.40 0.898 seconds of real time
% 1.22/1.40 0.842316 seconds of user run time
% 1.22/1.40 0.055456 seconds of system run time
% 1.22/1.40 [Run times include 0.084 seconds GC run time.]
% 1.22/1.40 0 calls to %EVAL
% 1.22/1.40 0 page faults and
% 1.22/1.40 72,497,032 bytes consed.
% 1.22/1.40 :PROOF-FOUND
% 1.22/1.40 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T20:22:36
% 1.22/1.40 :PROOF-FOUND
% 1.22/1.40 *
%------------------------------------------------------------------------------