%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWV458+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 21:34:27 EDT 2022
% Result : Theorem 3.96s 4.13s
% Output : Refutation 3.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of clauses : 46 ( 29 unt; 8 nHn; 43 RR)
% Number of literals : 90 ( 33 equ; 43 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 13 con; 0-2 aty)
% Number of variables : 32 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(54,axiom,
( elem(X,cons(Y,Z))
| X != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV011+0.ax',axiom_46) ).
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(87,axiom,
( leq(X,Y)
| 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(109,negated_conjecture,
( ~ leq(host(X),'SKOLEMAAAV8'(X,Y))
| leq(host(X),host(Z))
| ~ elem(m_Down(Y),queue(host(X)))
| index(status,host(X)) != elec_1
| ~ setIn(Z,alive)
| index(ldr,host(Z)) != host(Z)
| index(status,host(Z)) != norm ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(110,negated_conjecture,
( leq(s(zero),'SKOLEMAAAV8'(X,Y))
| leq(host(X),host(Z))
| ~ elem(m_Down(Y),queue(host(X)))
| index(status,host(X)) != elec_1
| ~ setIn(Z,alive)
| index(ldr,host(Z)) != host(Z)
| index(status,host(Z)) != norm ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(111,negated_conjecture,
( ~ setIn('SKOLEMAAAV8'(X,Y),index(down,host(X)))
| leq(host(X),host(Z))
| ~ elem(m_Down(Y),queue(host(X)))
| index(status,host(X)) != elec_1
| ~ setIn(Z,alive)
| index(ldr,host(Z)) != host(Z)
| index(status,host(Z)) != norm ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(112,negated_conjecture,
( 'SKOLEMAAAV8'(X,Y) != host(Y)
| leq(host(X),host(Z))
| ~ elem(m_Down(Y),queue(host(X)))
| index(status,host(X)) != elec_1
| ~ setIn(Z,alive)
| index(ldr,host(Z)) != host(Z)
| index(status,host(Z)) != norm ),
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(118,negated_conjecture,
( leq(host('SKOLEMAAAV6'),X)
| ~ leq(s(zero),X)
| setIn(X,index(down,host('SKOLEMAAAV6')))
| X = host('SKOLEMAAAV7') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(119,negated_conjecture,
index(status,host('SKOLEMAAAV6')) = elec_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(121,negated_conjecture,
host('SKOLEMAAAV6') != host('SKOLEMAAAV9'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(122,negated_conjecture,
s(host('SKOLEMAAAV6')) = host('SKOLEMAAAV10'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(124,negated_conjecture,
host('SKOLEMAAAV6') = host('SKOLEMAAAV11'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(125,negated_conjecture,
~ leq(s(host('SKOLEMAAAV6')),host('SKOLEMAAAV9')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(126,plain,
~ leq(s(host('SKOLEMAAAV11')),host('SKOLEMAAAV9')),
inference('REWRITE',[status(thm)],[125,124,theory(equality)]) ).
cnf(129,negated_conjecture,
setIn('SKOLEMAAAV9',alive),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(130,negated_conjecture,
index(ldr,host('SKOLEMAAAV9')) = host('SKOLEMAAAV9'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(131,negated_conjecture,
index(status,host('SKOLEMAAAV9')) = norm,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
cnf(132,plain,
queue(host('SKOLEMAAAV11')) = cons(m_Down('SKOLEMAAAV7'),'SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[113,124,theory(equality)]) ).
cnf(134,plain,
( leq(host('SKOLEMAAAV11'),X)
| ~ leq(s(zero),X)
| setIn(X,index(down,host('SKOLEMAAAV11')))
| X = host('SKOLEMAAAV7') ),
inference('REWRITE',[status(thm)],[118,124,theory(equality)]) ).
cnf(135,plain,
index(status,host('SKOLEMAAAV11')) = elec_1,
inference('REWRITE',[status(thm)],[119,124,theory(equality)]) ).
cnf(137,plain,
host('SKOLEMAAAV11') != host('SKOLEMAAAV9'),
inference('REWRITE',[status(thm)],[121,124,theory(equality)]) ).
cnf(138,plain,
s(host('SKOLEMAAAV11')) = host('SKOLEMAAAV10'),
inference('REWRITE',[status(thm)],[122,124,theory(equality)]) ).
cnf(139,plain,
~ leq(host('SKOLEMAAAV10'),host('SKOLEMAAAV9')),
inference('REWRITE',[status(thm)],[126,138,theory(equality)]) ).
cnf(142,plain,
leq(host('SKOLEMAAAV9'),host('SKOLEMAAAV10')),
inference('HYPERRESOLVE',[status(thm)],[139,85]) ).
cnf(286,plain,
elem(X,cons(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[54,theory(equality)]) ).
cnf(295,plain,
~ leq(s(host('SKOLEMAAAV10')),s(host('SKOLEMAAAV9'))),
inference('UR-RESOLVE',[status(thm)],[90,139]) ).
cnf(298,plain,
( leq(X,host('SKOLEMAAAV11'))
| ~ leq(s(X),host('SKOLEMAAAV10')) ),
inference('PARAMODULATE',[status(thm)],[90,138,theory(equality)]) ).
cnf(609,plain,
leq(s(host('SKOLEMAAAV9')),s(host('SKOLEMAAAV10'))),
inference('HYPERRESOLVE',[status(thm)],[89,142]) ).
cnf(935,plain,
elem(m_Down('SKOLEMAAAV7'),queue(host('SKOLEMAAAV11'))),
inference('PARAMODULATE',[status(thm)],[286,132,theory(equality)]) ).
cnf(2616,plain,
s(host('SKOLEMAAAV10')) != s(host('SKOLEMAAAV9')),
inference('UR-RESOLVE',[status(thm)],[87,295]) ).
cnf(6121,plain,
( leq(s(zero),'SKOLEMAAAV8'('SKOLEMAAAV11','SKOLEMAAAV7'))
| leq(host('SKOLEMAAAV11'),host('SKOLEMAAAV9')) ),
inference('HYPERRESOLVE',[status(thm)],[110,935,135,129,130,131]) ).
cnf(8254,plain,
leq(s(host('SKOLEMAAAV9')),host('SKOLEMAAAV10')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[91,609]),2616]) ).
cnf(21380,plain,
leq(host('SKOLEMAAAV9'),host('SKOLEMAAAV11')),
inference('HYPERRESOLVE',[status(thm)],[298,8254]) ).
cnf(21382,plain,
~ leq(host('SKOLEMAAAV11'),host('SKOLEMAAAV9')),
inference('UR-RESOLVE',[status(thm)],[86,21380,137]) ).
cnf(21384,plain,
leq(s(zero),'SKOLEMAAAV8'('SKOLEMAAAV11','SKOLEMAAAV7')),
inference('REWRITE',[status(thm)],[6121,21382]) ).
cnf(21417,plain,
( leq(host('SKOLEMAAAV11'),'SKOLEMAAAV8'('SKOLEMAAAV11','SKOLEMAAAV7'))
| setIn('SKOLEMAAAV8'('SKOLEMAAAV11','SKOLEMAAAV7'),index(down,host('SKOLEMAAAV11')))
| 'SKOLEMAAAV8'('SKOLEMAAAV11','SKOLEMAAAV7') = host('SKOLEMAAAV7') ),
inference('HYPERRESOLVE',[status(thm)],[134,21384]) ).
cnf(21439,plain,
'SKOLEMAAAV8'('SKOLEMAAAV11','SKOLEMAAAV7') != host('SKOLEMAAAV7'),
inference('UR-RESOLVE',[status(thm)],[112,21382,935,135,129,130,131]) ).
cnf(21440,plain,
( leq(host('SKOLEMAAAV11'),'SKOLEMAAAV8'('SKOLEMAAAV11','SKOLEMAAAV7'))
| setIn('SKOLEMAAAV8'('SKOLEMAAAV11','SKOLEMAAAV7'),index(down,host('SKOLEMAAAV11'))) ),
inference('REWRITE',[status(thm)],[21417,21439]) ).
cnf(21441,plain,
~ leq(host('SKOLEMAAAV11'),'SKOLEMAAAV8'('SKOLEMAAAV11','SKOLEMAAAV7')),
inference('UR-RESOLVE',[status(thm)],[109,21382,935,135,129,130,131]) ).
cnf(21442,plain,
setIn('SKOLEMAAAV8'('SKOLEMAAAV11','SKOLEMAAAV7'),index(down,host('SKOLEMAAAV11'))),
inference('REWRITE',[status(thm)],[21440,21441]) ).
cnf(21445,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[111,21382,935,135,129,130,131]),21442]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV458+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 : Wed Jun 15 20:05:56 EDT 2022
% 0.13/0.34 % 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 2022-06-15T20:05:56
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-15T20:05:56
% 3.96/4.13
% 3.96/4.13
% 3.96/4.13 #||
% 3.96/4.13 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.96/4.13 % SZS output start Refutation
% See solution above
% 3.96/4.14 ||#
% 3.96/4.14
% 3.96/4.14 ; Summary of computation:
% 3.96/4.14 ; 41583 formulas have been input or derived (from 1049 formulas).
% 3.96/4.14 ; 21445 (52%) were retained. Of these,
% 3.96/4.14 ; 44 ( 0%) were simplified or subsumed later,
% 3.96/4.14 ; 21401 (100%) are still being kept.
% 3.96/4.14 ;
% 3.96/4.14 ; Run time in seconds excluding printing time:
% 3.96/4.14 ; 0.019 1% Read assertion file (1 call)
% 3.96/4.14 ; 0.006 0% Assert (67 calls)
% 3.96/4.14 ; 1.423 39% Process new row (36,416 calls)
% 3.96/4.14 ; 0.997 27% Resolution (2,096 calls)
% 3.96/4.14 ; 0.048 1% Paramodulation (1,048 calls)
% 3.96/4.14 ; 0.000 0% Factoring (21 calls)
% 3.96/4.14 ; 0.021 1% Condensing (1,964 calls)
% 3.96/4.14 ; 0.046 1% Forward subsumption (1,964 calls)
% 3.96/4.14 ; 0.009 0% Backward subsumption (548 calls)
% 3.96/4.14 ; 0.062 2% Clause clause subsumption (4,165 calls)
% 3.96/4.14 ; 0.680 19% Forward simplification (36,252 calls)
% 3.96/4.14 ; 0.179 5% Backward simplification (21,444 calls)
% 3.96/4.14 ; 0.008 0% Ordering (7,463 calls)
% 3.96/4.14 ; 0.000 0% Sortal reasoning (32 calls)
% 3.96/4.14 ; 0.000 0% Purity testing (1 call)
% 3.96/4.14 ; 0.165 5% Other
% 3.96/4.14 ; 3.663 Total
% 3.96/4.14 ; 3.667 Real time
% 3.96/4.14 ;
% 3.96/4.14 ; Term-hash-array has 36,399 terms in all.
% 3.96/4.14 ; Feature-vector-row-index has 526 entries (527 at peak, 548 added, 22 deleted).
% 3.96/4.14 ; Feature-vector-row-index has 2,537 nodes (2,550 at peak, 2,732 added, 195 deleted).
% 3.96/4.14 ; Retrieved 11,324 possibly forward subsuming rows in 1,964 calls.
% 3.96/4.14 ; Retrieved 146 possibly backward subsumed rows in 548 calls.
% 3.96/4.14 ; Path-index has 36,362 entries (36,362 at peak, 36,446 added, 84 deleted).
% 3.96/4.14 ; Path-index has 17,691 nodes (17,691 at peak, 17,776 added, 85 deleted).
% 3.96/4.14 ; Trie-index has 36,362 entries (36,362 at peak, 36,446 added, 84 deleted).
% 3.96/4.14 ; Trie-index has 110,721 nodes (110,721 at peak, 110,939 added, 218 deleted).
% 3.96/4.14 ; Retrieved 75,322 generalization terms in 166,620 calls.
% 3.96/4.14 ; Retrieved 21,003 instance terms in 20,895 calls.
% 3.96/4.14 ; Retrieved 1,077,701 unifiable terms in 38,191 calls.
% 3.96/4.14 ;
% 3.96/4.14 ; The agenda of rows to process has 12 entries:
% 3.96/4.14 ; 7 with value 17 3 with value 18 2 with value 19
% 3.96/4.14 ; The agenda of rows to give has 20358 entries:
% 3.96/4.14 ; 6 with value (4 12) 373 with value (4 24) 12 with value (4 35)
% 3.96/4.14 ; 410 with value (4 14) 100 with value (4 25) 11 with value (4 36)
% 3.96/4.14 ; 858 with value (4 15) 64 with value (4 26) 6 with value (4 37)
% 3.96/4.14 ; 2624 with value (4 16) 6 with value (4 27) 17 with value (4 38)
% 3.96/4.14 ; 1977 with value (4 17) 2 with value (4 28) 5 with value (4 39)
% 3.96/4.14 ; 2385 with value (4 18) 10 with value (4 29) 6 with value (4 40)
% 3.96/4.14 ; 3575 with value (4 19) 5 with value (4 30) 1 with value (4 41)
% 3.96/4.14 ; 4177 with value (4 20) 15 with value (4 31) 2 with value (4 43)
% 3.96/4.14 ; 2003 with value (4 21) 2 with value (4 32) 1 with value (4 45)
% 3.96/4.14 ; 821 with value (4 22) 8 with value (4 33) 3 with value (4 48)
% 3.96/4.14 ; 866 with value (4 23) 6 with value (4 34) 1 with value (4 51)
% 3.96/4.14 Evaluation took:
% 3.96/4.14 3.669 seconds of real time
% 3.96/4.14 3.375478 seconds of user run time
% 3.96/4.14 0.293943 seconds of system run time
% 3.96/4.14 [Run times include 0.671 seconds GC run time.]
% 3.96/4.14 0 calls to %EVAL
% 3.96/4.14 0 page faults and
% 3.96/4.14 276,585,672 bytes consed.
% 3.96/4.14 :PROOF-FOUND
% 3.96/4.14 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-15T20:06:00
% 3.96/4.14 :PROOF-FOUND
% 3.96/4.14 *
%------------------------------------------------------------------------------