TSTP Solution File: SWV463+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV463+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 2.95s 3.19s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 31
% Syntax : Number of clauses : 68 ( 53 unt; 6 nHn; 62 RR)
% Number of literals : 99 ( 42 equ; 39 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 13 con; 0-2 aty)
% Number of variables : 40 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
leq(host(X),nbr_proc),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_04) ).
cnf(16,axiom,
m_Ack(X,Y) != m_Ldr(Z),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_14) ).
cnf(42,axiom,
head(cons(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_35) ).
cnf(54,axiom,
( elem(X,cons(Y,Z))
| X != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
cnf(56,axiom,
( ~ elem(X,snoc(Y,Z))
| X = Z
| elem(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_47) ).
cnf(83,axiom,
~ leq(s(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_58) ).
cnf(84,axiom,
leq(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_59) ).
cnf(85,axiom,
( leq(X,Y)
| leq(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_60) ).
cnf(86,axiom,
( ~ leq(X,Y)
| ~ leq(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
cnf(87,axiom,
( leq(X,Y)
| X != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_61) ).
cnf(89,axiom,
( ~ leq(X,Y)
| leq(s(X),s(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_63) ).
cnf(90,axiom,
( leq(X,Y)
| ~ leq(s(X),s(Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_63) ).
cnf(91,axiom,
( ~ leq(X,s(Y))
| X = s(Y)
| leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV011+0.ax',axiom_64) ).
cnf(97,negated_conjecture,
( ~ elem(m_Ack(X,Y),queue(host(Z)))
| ~ leq(host(Y),host(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(102,negated_conjecture,
( index(status,host(X)) != elec_2
| ~ setIn(X,alive)
| index(elid,host(X)) = X ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(113,negated_conjecture,
queue(host('SKOLEMAAAV6')) = cons(m_Ack('SKOLEMAAAV5','SKOLEMAAAV7'),'SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(114,negated_conjecture,
setIn('SKOLEMAAAV6',alive),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(115,negated_conjecture,
index(elid,host('SKOLEMAAAV6')) = 'SKOLEMAAAV5',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(116,negated_conjecture,
index(status,host('SKOLEMAAAV6')) = elec_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(117,negated_conjecture,
host('SKOLEMAAAV7') = index(pendack,host('SKOLEMAAAV6')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(118,negated_conjecture,
leq(nbr_proc,index(pendack,host('SKOLEMAAAV6'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(119,plain,
leq(nbr_proc,host('SKOLEMAAAV7')),
inference('REWRITE',[status(thm)],[118,117,theory(equality)]) ).
cnf(123,negated_conjecture,
host('SKOLEMAAAV6') != host('SKOLEMAAAV13'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(124,negated_conjecture,
setIn('SKOLEMAAAV13',alive),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(125,negated_conjecture,
leq(nbr_proc,s(index(pendack,host('SKOLEMAAAV13')))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(127,negated_conjecture,
elem(m_Ack('SKOLEMAAAV13','SKOLEMAAAV11'),snoc(queue(host('SKOLEMAAAV13')),m_Ldr('SKOLEMAAAV6'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(128,negated_conjecture,
index(status,host('SKOLEMAAAV13')) = elec_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(129,negated_conjecture,
host('SKOLEMAAAV11') = index(pendack,host('SKOLEMAAAV13')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(130,negated_conjecture,
host('SKOLEMAAAV12') = s(index(pendack,host('SKOLEMAAAV13'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
cnf(131,plain,
host('SKOLEMAAAV12') = s(host('SKOLEMAAAV11')),
inference('REWRITE',[status(thm)],[130,129,theory(equality)]) ).
cnf(135,plain,
leq(nbr_proc,host('SKOLEMAAAV12')),
inference('REWRITE',[status(thm)],[125,131,129,theory(equality)]) ).
cnf(143,plain,
~ leq(host('SKOLEMAAAV12'),host('SKOLEMAAAV11')),
inference('PARAMODULATE',[status(thm)],[83,131,theory(equality)]) ).
cnf(278,plain,
elem(X,cons(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[54,theory(equality)]) ).
cnf(292,plain,
host('SKOLEMAAAV7') = nbr_proc,
inference('HYPERRESOLVE',[status(thm)],[86,6,119]) ).
cnf(293,plain,
nbr_proc = index(pendack,host('SKOLEMAAAV6')),
inference('REWRITE',[status(thm)],[117,292,theory(equality)]) ).
cnf(295,plain,
host('SKOLEMAAAV12') = nbr_proc,
inference('HYPERRESOLVE',[status(thm)],[86,6,135]) ).
cnf(296,plain,
nbr_proc = s(host('SKOLEMAAAV11')),
inference('REWRITE',[status(thm)],[131,295,theory(equality)]) ).
cnf(297,plain,
~ leq(nbr_proc,host('SKOLEMAAAV11')),
inference('REWRITE',[status(thm)],[143,295,theory(equality)]) ).
cnf(312,plain,
head(queue(host('SKOLEMAAAV6'))) = m_Ack('SKOLEMAAAV5','SKOLEMAAAV7'),
inference('PARAMODULATE',[status(thm)],[42,113,theory(equality)]) ).
cnf(313,plain,
queue(host('SKOLEMAAAV6')) = cons(head(queue(host('SKOLEMAAAV6'))),'SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[113,312,theory(equality)]) ).
cnf(458,plain,
elem(m_Ack('SKOLEMAAAV13','SKOLEMAAAV11'),queue(host('SKOLEMAAAV13'))),
inference('UR-RESOLVE',[status(thm)],[56,127,16]) ).
cnf(494,plain,
'SKOLEMAAAV5' = 'SKOLEMAAAV6',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[102,116,114]),115,theory(equality)]) ).
cnf(495,plain,
setIn('SKOLEMAAAV5',alive),
inference('REWRITE',[status(thm)],[114,494,theory(equality)]) ).
cnf(497,plain,
index(status,host('SKOLEMAAAV5')) = elec_2,
inference('REWRITE',[status(thm)],[116,494,theory(equality)]) ).
cnf(499,plain,
host('SKOLEMAAAV5') != host('SKOLEMAAAV13'),
inference('REWRITE',[status(thm)],[123,494,theory(equality)]) ).
cnf(514,plain,
nbr_proc = index(pendack,host('SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[293,494,theory(equality)]) ).
cnf(519,plain,
head(queue(host('SKOLEMAAAV5'))) = m_Ack('SKOLEMAAAV5','SKOLEMAAAV7'),
inference('REWRITE',[status(thm)],[312,494,theory(equality)]) ).
cnf(520,plain,
queue(host('SKOLEMAAAV5')) = cons(head(queue(host('SKOLEMAAAV5'))),'SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[313,494,theory(equality)]) ).
cnf(558,plain,
( leq(host('SKOLEMAAAV5'),host('SKOLEMAAAV13'))
| leq(host('SKOLEMAAAV11'),host('SKOLEMAAAV5')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[104,495,124,497,128]),129,theory(equality)]) ).
cnf(573,plain,
leq(host('SKOLEMAAAV13'),host('SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[106,124,495,128,497,85]),297,129,514,theory(equality)]) ).
cnf(1008,plain,
elem(head(queue(host('SKOLEMAAAV5'))),queue(host('SKOLEMAAAV5'))),
inference('PARAMODULATE',[status(thm)],[278,520,theory(equality)]) ).
cnf(1076,plain,
~ leq(host('SKOLEMAAAV5'),host('SKOLEMAAAV13')),
inference('UR-RESOLVE',[status(thm)],[86,573,499]) ).
cnf(1077,plain,
leq(host('SKOLEMAAAV11'),host('SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[558,1076]) ).
cnf(1111,plain,
leq(nbr_proc,s(host('SKOLEMAAAV5'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[89,1077]),296,theory(equality)]) ).
cnf(1773,plain,
( nbr_proc = s(host('SKOLEMAAAV5'))
| leq(nbr_proc,host('SKOLEMAAAV5')) ),
inference('HYPERRESOLVE',[status(thm)],[91,1111]) ).
cnf(4506,plain,
host('SKOLEMAAAV5') != host('SKOLEMAAAV11'),
inference('UR-RESOLVE',[status(thm)],[105,458,124,495,128,497]) ).
cnf(4539,plain,
~ leq(host('SKOLEMAAAV5'),host('SKOLEMAAAV11')),
inference('UR-RESOLVE',[status(thm)],[86,4506,1077]) ).
cnf(4564,plain,
~ leq(s(host('SKOLEMAAAV5')),nbr_proc),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[90,4539]),296,theory(equality)]) ).
cnf(15439,plain,
nbr_proc != s(host('SKOLEMAAAV5')),
inference('UR-RESOLVE',[status(thm)],[87,4564]) ).
cnf(15440,plain,
leq(nbr_proc,host('SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[1773,15439]) ).
cnf(15453,plain,
nbr_proc = host('SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[86,15440,6]) ).
cnf(15474,plain,
head(queue(nbr_proc)) = m_Ack('SKOLEMAAAV5','SKOLEMAAAV7'),
inference('REWRITE',[status(thm)],[519,15453,theory(equality)]) ).
cnf(15645,plain,
elem(head(queue(nbr_proc)),queue(nbr_proc)),
inference('REWRITE',[status(thm)],[1008,15453,theory(equality)]) ).
cnf(15984,plain,
~ elem(head(queue(nbr_proc)),queue(host(X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[97,15474,theory(equality)]),84,15453,292,theory(equality)]) ).
cnf(16556,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15984,295,theory(equality)]),15645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV463+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 16 01:38:38 EDT 2022
% 0.14/0.34 % 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 2022-06-16T01:38:39
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-16T01:38:39
% 2.95/3.19
% 2.95/3.19
% 2.95/3.19 #||
% 2.95/3.19 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.95/3.19 % SZS output start Refutation
% See solution above
% 3.04/3.22 ||#
% 3.04/3.22
% 3.04/3.22 ; Summary of computation:
% 3.04/3.22 ; 30669 formulas have been input or derived (from 843 formulas).
% 3.04/3.22 ; 16556 (54%) were retained. Of these,
% 3.04/3.22 ; 930 ( 6%) were simplified or subsumed later,
% 3.04/3.22 ; 15626 (94%) are still being kept.
% 3.04/3.22 ;
% 3.04/3.22 ; Run time in seconds excluding printing time:
% 3.04/3.22 ; 0.018 1% Read assertion file (1 call)
% 3.04/3.22 ; 0.007 0% Assert (67 calls)
% 3.04/3.22 ; 1.158 43% Process new row (26,748 calls)
% 3.04/3.22 ; 0.669 25% Resolution (1,684 calls)
% 3.04/3.22 ; 0.038 1% Paramodulation (842 calls)
% 3.04/3.22 ; 0.000 0% Factoring (13 calls)
% 3.04/3.22 ; 0.010 0% Condensing (755 calls)
% 3.04/3.22 ; 0.021 1% Forward subsumption (755 calls)
% 3.04/3.22 ; 0.011 0% Backward subsumption (469 calls)
% 3.04/3.22 ; 0.014 1% Clause clause subsumption (1,307 calls)
% 3.04/3.22 ; 0.443 16% Forward simplification (26,656 calls)
% 3.04/3.22 ; 0.185 7% Backward simplification (16,554 calls)
% 3.04/3.22 ; 0.003 0% Ordering (3,192 calls)
% 3.04/3.22 ; 0.002 0% Sortal reasoning (32 calls)
% 3.04/3.22 ; 0.000 0% Purity testing (1 call)
% 3.04/3.22 ; 0.132 5% Other
% 3.04/3.22 ; 2.711 Total
% 3.04/3.22 ; 2.744 Real time
% 3.04/3.22 ;
% 3.04/3.22 ; Term-hash-array has 27,653 terms in all.
% 3.04/3.22 ; Feature-vector-row-index has 366 entries (398 at peak, 469 added, 103 deleted).
% 3.04/3.22 ; Feature-vector-row-index has 2,366 nodes (2,931 at peak, 3,705 added, 1,339 deleted).
% 3.04/3.22 ; Retrieved 1,939 possibly forward subsuming rows in 755 calls.
% 3.04/3.22 ; Retrieved 120 possibly backward subsumed rows in 469 calls.
% 3.04/3.22 ; Path-index has 26,406 entries (26,406 at peak, 27,872 added, 1,466 deleted).
% 3.04/3.22 ; Path-index has 12,982 nodes (12,982 at peak, 13,592 added, 610 deleted).
% 3.04/3.22 ; Trie-index has 26,406 entries (26,406 at peak, 27,872 added, 1,466 deleted).
% 3.04/3.22 ; Trie-index has 78,473 nodes (78,473 at peak, 82,636 added, 4,163 deleted).
% 3.04/3.22 ; Retrieved 50,038 generalization terms in 127,257 calls.
% 3.04/3.22 ; Retrieved 16,245 instance terms in 16,084 calls.
% 3.04/3.22 ; Retrieved 725,966 unifiable terms in 26,398 calls.
% 3.04/3.22 ;
% 3.04/3.22 ; The agenda of rows to process has 17 entries:
% 3.04/3.22 ; 2 with value 13 10 with value 17 2 with value 22
% 3.04/3.22 ; 1 with value 14 2 with value 20
% 3.04/3.22 ; The agenda of rows to give has 14849 entries:
% 3.04/3.22 ; 203 with value (4 13) 32 with value (4 25) 1 with value (4 42)
% 3.04/3.22 ; 388 with value (4 14) 8 with value (4 26) 2 with value (4 43)
% 3.04/3.22 ; 842 with value (4 15) 1 with value (4 28) 6 with value (4 44)
% 3.04/3.22 ; 2421 with value (4 16) 12 with value (4 29) 7 with value (4 47)
% 3.04/3.22 ; 1219 with value (4 17) 2 with value (4 30) 5 with value (4 50)
% 3.04/3.22 ; 2082 with value (4 18) 13 with value (4 31) 3 with value (4 51)
% 3.04/3.22 ; 3012 with value (4 19) 8 with value (4 33) 8 with value (4 53)
% 3.04/3.22 ; 2789 with value (4 20) 1 with value (4 34) 1 with value (4 54)
% 3.04/3.22 ; 710 with value (4 21) 8 with value (4 35) 1 with value (4 55)
% 3.04/3.22 ; 505 with value (4 22) 8 with value (4 36) 3 with value (4 56)
% 3.04/3.22 ; 482 with value (4 23) 1 with value (4 37) 1 with value (4 66)
% 3.04/3.22 ; 62 with value (4 24) 2 with value (4 40)
% 3.04/3.22 Evaluation took:
% 3.04/3.22 2.745 seconds of real time
% 3.04/3.22 2.532456 seconds of user run time
% 3.04/3.22 0.212062 seconds of system run time
% 3.04/3.22 [Run times include 0.473 seconds GC run time.]
% 3.04/3.22 0 calls to %EVAL
% 3.04/3.22 0 page faults and
% 3.04/3.22 204,921,448 bytes consed.
% 3.04/3.22 :PROOF-FOUND
% 3.04/3.22 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T01:38:41
% 3.04/3.22 :PROOF-FOUND
% 3.04/3.22 *
%------------------------------------------------------------------------------