TSTP Solution File: PUZ056-2.005 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : PUZ056-2.005 : TPTP v8.1.0. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 18:26:49 EDT 2022
% Result : Unsatisfiable 0.38s 0.61s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 13
% Syntax : Number of clauses : 44 ( 39 unt; 0 nHn; 35 RR)
% Number of literals : 69 ( 0 equ; 41 neg)
% Maximal clause size : 10 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-5 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 46 ( 18 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule1,axiom,
( ~ p(X,Y,Z,U,V)
| p(W,Y,Z,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule1) ).
cnf(rule2,axiom,
( ~ p(X,Y,Z,U,V)
| ~ neq(X,Y)
| ~ neq(X,W)
| p(X,W,Z,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule2) ).
cnf(rule3,axiom,
( ~ p(X,Y,Z,U,V)
| ~ neq(X,Z)
| ~ neq(X,W)
| ~ neq(Y,Z)
| ~ neq(Y,W)
| p(X,Y,W,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule3) ).
cnf(rule4,axiom,
( ~ p(X,Y,Z,U,V)
| ~ neq(X,U)
| ~ neq(X,W)
| ~ neq(Y,U)
| ~ neq(Y,W)
| ~ neq(Z,U)
| ~ neq(Z,W)
| p(X,Y,Z,W,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule4) ).
cnf(rule5,axiom,
( ~ p(X,Y,Z,U,V)
| ~ neq(X,V)
| ~ neq(X,W)
| ~ neq(Y,V)
| ~ neq(Y,W)
| ~ neq(Z,V)
| ~ neq(Z,W)
| ~ neq(U,V)
| ~ neq(U,W)
| p(X,Y,Z,U,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule5) ).
cnf(neq2,axiom,
neq(s0,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq2) ).
cnf(neq3,axiom,
neq(s0,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq3) ).
cnf(neq4,axiom,
neq(s1,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq4) ).
cnf(neq6,axiom,
neq(s1,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq6) ).
cnf(neq7,axiom,
neq(s2,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq7) ).
cnf(neq8,axiom,
neq(s2,s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',neq8) ).
cnf(init,axiom,
p(s0,s0,s0,s0,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',init) ).
cnf(goal,negated_conjecture,
~ p(s2,s2,s2,s2,s2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(17,plain,
p(X,s0,s0,s0,s0),
inference('HYPERRESOLVE',[status(thm)],[rule1,init]) ).
cnf(18,plain,
~ p(X,s2,s2,s2,s2),
inference('UR-RESOLVE',[status(thm)],[rule1,goal]) ).
cnf(20,plain,
p(s2,s1,s0,s0,s0),
inference('HYPERRESOLVE',[status(thm)],[rule2,17,neq7,neq8]) ).
cnf(21,plain,
~ p(s0,s1,s2,s2,s2),
inference('UR-RESOLVE',[status(thm)],[rule2,18,neq2,neq3]) ).
cnf(24,plain,
p(X,s1,s0,s0,s0),
inference('HYPERRESOLVE',[status(thm)],[rule1,20]) ).
cnf(25,plain,
~ p(X,s1,s2,s2,s2),
inference('UR-RESOLVE',[status(thm)],[rule1,21]) ).
cnf(28,plain,
p(s1,s1,s2,s0,s0),
inference('HYPERRESOLVE',[status(thm)],[rule3,24,neq4,neq6,neq4,neq6]) ).
cnf(29,plain,
~ p(s1,s1,s0,s2,s2),
inference('UR-RESOLVE',[status(thm)],[rule3,25,neq4,neq6,neq4,neq6]) ).
cnf(32,plain,
p(X,s1,s2,s0,s0),
inference('HYPERRESOLVE',[status(thm)],[rule1,28]) ).
cnf(33,plain,
~ p(X,s1,s0,s2,s2),
inference('UR-RESOLVE',[status(thm)],[rule1,29]) ).
cnf(37,plain,
p(s0,s2,s2,s0,s0),
inference('HYPERRESOLVE',[status(thm)],[rule2,32,neq2,neq3]) ).
cnf(40,plain,
~ p(s2,s0,s0,s2,s2),
inference('UR-RESOLVE',[status(thm)],[rule2,33,neq7,neq8]) ).
cnf(45,plain,
p(X,s2,s2,s0,s0),
inference('HYPERRESOLVE',[status(thm)],[rule1,37]) ).
cnf(48,plain,
~ p(X,s0,s0,s2,s2),
inference('UR-RESOLVE',[status(thm)],[rule1,40]) ).
cnf(52,plain,
p(s2,s2,s2,s1,s0),
inference('HYPERRESOLVE',[status(thm)],[rule4,45,neq7,neq8,neq7,neq8,neq7,neq8]) ).
cnf(53,plain,
~ p(s0,s0,s0,s1,s2),
inference('UR-RESOLVE',[status(thm)],[rule4,48,neq2,neq3,neq2,neq3,neq2,neq3]) ).
cnf(56,plain,
p(X,s2,s2,s1,s0),
inference('HYPERRESOLVE',[status(thm)],[rule1,52]) ).
cnf(57,plain,
~ p(X,s0,s0,s1,s2),
inference('UR-RESOLVE',[status(thm)],[rule1,53]) ).
cnf(62,plain,
p(s1,s0,s2,s1,s0),
inference('HYPERRESOLVE',[status(thm)],[rule2,56,neq6,neq4]) ).
cnf(63,plain,
~ p(s1,s2,s0,s1,s2),
inference('UR-RESOLVE',[status(thm)],[rule2,57,neq6,neq4]) ).
cnf(70,plain,
p(X,s0,s2,s1,s0),
inference('HYPERRESOLVE',[status(thm)],[rule1,62]) ).
cnf(71,plain,
~ p(X,s2,s0,s1,s2),
inference('UR-RESOLVE',[status(thm)],[rule1,63]) ).
cnf(78,plain,
p(s0,s0,s1,s1,s0),
inference('HYPERRESOLVE',[status(thm)],[rule3,70,neq3,neq2,neq3,neq2]) ).
cnf(79,plain,
~ p(s2,s2,s1,s1,s2),
inference('UR-RESOLVE',[status(thm)],[rule3,71,neq8,neq7,neq8,neq7]) ).
cnf(86,plain,
p(X,s0,s1,s1,s0),
inference('HYPERRESOLVE',[status(thm)],[rule1,78]) ).
cnf(87,plain,
~ p(X,s2,s1,s1,s2),
inference('UR-RESOLVE',[status(thm)],[rule1,79]) ).
cnf(98,plain,
p(s2,s1,s1,s1,s0),
inference('HYPERRESOLVE',[status(thm)],[rule2,86,neq7,neq8]) ).
cnf(99,plain,
~ p(s0,s1,s1,s1,s2),
inference('UR-RESOLVE',[status(thm)],[rule2,87,neq2,neq3]) ).
cnf(114,plain,
p(X,s1,s1,s1,s0),
inference('HYPERRESOLVE',[status(thm)],[rule1,98]) ).
cnf(115,plain,
~ p(X,s1,s1,s1,s2),
inference('UR-RESOLVE',[status(thm)],[rule1,99]) ).
cnf(124,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[rule5,114,neq4,neq6,neq4,neq6,neq4,neq6,neq4,neq6]),115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ056-2.005 : TPTP v8.1.0. Released v3.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.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 : Sat May 28 22:56:23 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 2022-05-28T22:56:23
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-05-28T22:56:23
% 0.38/0.61
% 0.38/0.61
% 0.38/0.61 #||
% 0.38/0.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.61 % SZS output start Refutation
% See solution above
% 0.38/0.61 ||#
% 0.38/0.61
% 0.38/0.61 ; Summary of computation:
% 0.38/0.61 ; 976 formulas have been input or derived (from 115 formulas).
% 0.38/0.61 ; 124 (13%) were retained. Of these,
% 0.38/0.61 ; 54 (44%) were simplified or subsumed later,
% 0.38/0.61 ; 70 (56%) are still being kept.
% 0.38/0.61 ;
% 0.38/0.61 ; Run time in seconds excluding printing time:
% 0.38/0.61 ; 0.003 2% Read assertion file (1 call)
% 0.38/0.61 ; 0.001 1% Assert (16 calls)
% 0.38/0.61 ; 0.010 7% Process new row (924 calls)
% 0.38/0.61 ; 0.090 66% Resolution (228 calls)
% 0.38/0.61 ; 0.000 0% Paramodulation (114 calls)
% 0.38/0.61 ; 0.000 0% Condensing (5 calls)
% 0.38/0.61 ; 0.000 0% Forward subsumption (5 calls)
% 0.38/0.61 ; 0.000 0% Backward subsumption (5 calls)
% 0.38/0.61 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.38/0.61 ; 0.002 1% Forward simplification (769 calls)
% 0.38/0.61 ; 0.003 2% Backward simplification (124 calls)
% 0.38/0.61 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.61 ; 0.000 0% Purity testing (1 call)
% 0.38/0.61 ; 0.027 20% Other
% 0.38/0.61 ; 0.136 Total
% 0.38/0.61 ; 0.139 Real time
% 0.38/0.61 ;
% 0.38/0.61 ; Term-hash-array has 138 terms in all.
% 0.38/0.61 ; Feature-vector-row-index has 5 entries (5 at peak, 5 added, 0 deleted).
% 0.38/0.61 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.38/0.61 ; Retrieved 10 possibly forward subsuming rows in 5 calls.
% 0.38/0.61 ; Retrieved 0 possibly backward subsumed rows in 5 calls.
% 0.38/0.61 ; Path-index has 87 entries (87 at peak, 141 added, 54 deleted).
% 0.38/0.61 ; Path-index has 39 nodes (40 at peak, 62 added, 23 deleted).
% 0.38/0.61 ; Trie-index has 87 entries (87 at peak, 141 added, 54 deleted).
% 0.38/0.61 ; Trie-index has 123 nodes (155 at peak, 332 added, 209 deleted).
% 0.38/0.61 ; Retrieved 646 generalization terms in 762 calls.
% 0.38/0.61 ; Retrieved 172 instance terms in 118 calls.
% 0.38/0.61 ; Retrieved 19,718 unifiable terms in 19,060 calls.
% 0.38/0.61 ;
% 0.38/0.61 ; The agenda of rows to process has 14 entries:
% 0.38/0.61 ; 14 with value 23
% 0.38/0.61 ; The agenda of rows to give has 9 entries:
% 0.38/0.61 ; 8 with value (4 22) 1 with value (4 23)
% 0.38/0.61 Evaluation took:
% 0.38/0.61 0.14 seconds of real time
% 0.38/0.61 0.127479 seconds of user run time
% 0.38/0.61 0.011792 seconds of system run time
% 0.38/0.61 0 calls to %EVAL
% 0.38/0.61 0 page faults and
% 0.38/0.61 10,789,904 bytes consed.
% 0.38/0.61 :PROOF-FOUND
% 0.38/0.61 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-28T22:56:23
% 0.38/0.61 :PROOF-FOUND
% 0.38/0.61 *
%------------------------------------------------------------------------------