%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYO674-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 19:44:55 EDT 2022
% Result : Unsatisfiable 0.14s 0.48s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 50 ( 6 unt; 38 nHn; 35 RR)
% Number of literals : 180 ( 0 equ; 64 neg)
% Maximal clause size : 17 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 42 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_193,axiom,
( ~ 'E'(s('0'),f(suc(X)))
| ~ 'E'(s('0'),f(suc(Y)))
| ~ iLEQ(suc(Z),suc(U))
| ~ 'E'(s('0'),f(V))
| ~ 'E'(s('0'),f(suc(W)))
| ~ 'E'(s('0'),f(suc(V)))
| ~ 'E'(s('0'),f(Y))
| ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(U))
| ~ iLEQ(suc(W),suc(V))
| ~ iLEQ(suc(V),suc(Z))
| ~ 'E'(s('0'),f(suc(U)))
| ~ 'E'(s('0'),f(Z))
| ~ 'E'(s('0'),f(suc(Z)))
| ~ iLEQ(suc(Y),suc(X))
| ~ 'E'(s('0'),f(W))
| ~ iLEQ(suc(U),suc(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_193) ).
cnf(clause_298,axiom,
( ~ 'LE'(f(X),s(s('0')))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_298) ).
cnf(clause_281,axiom,
( ~ 'E'('0',f(X))
| ~ 'E'('0',f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_281) ).
cnf(clause_176,axiom,
( ~ 'LE'(f(X),s('0'))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_176) ).
cnf(clause_139,axiom,
( ~ 'LE'(f(X),s(s(s('0'))))
| 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_139) ).
cnf(clause_126,axiom,
( ~ 'E'(s(s('0')),f(X))
| ~ 'E'(s(s('0')),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_126) ).
cnf(clause_498,axiom,
'LE'(f(X),s(s(s('0')))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_498) ).
cnf(clause_204,axiom,
~ 'LE'(f(z),'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_204) ).
cnf(clause_129,axiom,
( ~ 'LE'(f(suc(X)),s(s(s('0'))))
| 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_129) ).
cnf(10,plain,
( 'E'(s(s('0')),f(suc(X)))
| 'LE'(f(X),s(s('0'))) ),
inference('REWRITE',[status(thm)],[clause_129,clause_498]) ).
cnf(clause_431,axiom,
( ~ 'E'(s(s('0')),f(X))
| ~ 'E'(s(s('0')),f(suc(Y)))
| ~ 'E'(s(s('0')),f(Z))
| ~ iLEQ(suc(U),suc(V))
| ~ 'E'(s(s('0')),f(suc(X)))
| ~ 'E'(s(s('0')),f(W))
| ~ 'E'(s(s('0')),f(Y))
| ~ iLEQ(suc(Z),suc(U))
| ~ 'E'(s(s('0')),f(suc(V)))
| ~ 'E'(s(s('0')),f(suc(U)))
| ~ 'E'(s(s('0')),f(suc(W)))
| ~ 'E'(s(s('0')),f(U))
| ~ iLEQ(suc(V),suc(W))
| ~ 'E'(s(s('0')),f(V))
| ~ 'E'(s(s('0')),f(suc(Z)))
| ~ iLEQ(suc(W),suc(Y))
| ~ iLEQ(suc(X),suc(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_431) ).
cnf(clause_50,axiom,
( ~ 'LE'(f(suc(X)),s('0'))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_50) ).
cnf(clause_84,axiom,
( ~ 'LE'(f(suc(X)),s(s('0')))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_84) ).
cnf(clause_493,axiom,
( ~ 'E'(s('0'),f(X))
| ~ 'E'(s('0'),f(suc(X)))
| iLEQ(suc(X),suc(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_493) ).
cnf(clause_453,axiom,
( ~ iLEQ(suc(X),suc(Y))
| ~ 'E'('0',f(Y))
| ~ 'E'('0',f(suc(Z)))
| ~ iLEQ(suc(U),suc(V))
| ~ 'E'('0',f(W))
| ~ iLEQ(suc(V),suc(Z))
| ~ 'E'('0',f(X))
| ~ 'E'('0',f(U))
| ~ 'E'('0',f(suc(Y)))
| ~ iLEQ(suc(Y),suc(U))
| ~ 'E'('0',f(suc(X)))
| ~ 'E'('0',f(suc(V)))
| ~ iLEQ(suc(Z),suc(W))
| ~ 'E'('0',f(suc(U)))
| ~ 'E'('0',f(suc(W)))
| ~ 'E'('0',f(V))
| ~ 'E'('0',f(Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_453) ).
cnf(16,plain,
( 'E'(s(s('0')),f(X))
| 'LE'(f(X),s(s('0'))) ),
inference('REWRITE',[status(thm)],[clause_139,clause_498]) ).
cnf(17,plain,
( 'E'(s(s('0')),f(X))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference('HYPERRESOLVE',[status(thm)],[clause_298,16]) ).
cnf(18,plain,
( 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(X))
| 'LE'(f(X),s('0')) ),
inference('HYPERRESOLVE',[status(thm)],[clause_298,10]) ).
cnf(19,plain,
( 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference('HYPERRESOLVE',[status(thm)],[clause_84,16]) ).
cnf(20,plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(X)))
| 'LE'(f(X),s('0')) ),
inference('HYPERRESOLVE',[status(thm)],[clause_84,10]) ).
cnf(21,plain,
( 'E'(s(s('0')),f(X))
| 'E'(s('0'),f(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_176,17]) ).
cnf(22,plain,
( 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_50,17]) ).
cnf(23,plain,
( 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(X))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_176,18]) ).
cnf(24,plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(X)))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_50,18]) ).
cnf(25,plain,
( 'E'(s(s('0')),f(suc(X)))
| 'E'(s('0'),f(suc(X)))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_176,19]) ).
cnf(26,plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_50,19]) ).
cnf(27,plain,
( 'E'(s(s('0')),f(suc(suc(X))))
| 'E'(s('0'),f(suc(X)))
| 'E'('0',f(X))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_176,20]) ).
cnf(28,plain,
( 'E'(s(s('0')),f(suc(suc(suc(X)))))
| 'E'(s('0'),f(suc(suc(X))))
| 'E'('0',f(suc(X)))
| 'LE'(f(X),'0') ),
inference('HYPERRESOLVE',[status(thm)],[clause_50,20]) ).
cnf(29,plain,
( 'E'(s(s('0')),f(z))
| 'E'(s('0'),f(z))
| 'E'('0',f(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_204,21]) ).
cnf(30,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'(s('0'),f(z))
| 'E'('0',f(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_204,23]) ).
cnf(31,plain,
( 'E'(s('0'),f(z))
| 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_126,30,29]) ).
cnf(32,plain,
( 'E'(s('0'),f(z))
| 'E'('0',f(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_431,31,29,30,29,31,30,29,29,30,30,30,29,31,29,30,31,31]) ).
cnf(33,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_204,25]) ).
cnf(34,plain,
( 'E'(s(s('0')),f(suc(z)))
| 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_204,22]) ).
cnf(35,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_204,27]) ).
cnf(36,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z))
| iLEQ(suc(suc(z)),suc(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_126,35,33]) ).
cnf(37,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_431,36,33,35,33,36,35,33,33,35,35,35,33,36,33,35,36,36]) ).
cnf(38,plain,
( 'E'('0',f(z))
| iLEQ(suc(z),suc(z)) ),
inference('HYPERRESOLVE',[status(thm)],[clause_493,37,32]) ).
cnf(39,plain,
'E'('0',f(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_193,38,37,37,32,37,37,32,32,32,38,38,37,32,37,38,32,38]) ).
cnf(40,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_204,24]) ).
cnf(41,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z)))
| iLEQ(suc(suc(z)),suc(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_126,40,34]) ).
cnf(42,plain,
( 'E'(s('0'),f(suc(z)))
| 'E'('0',f(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_431,41,34,40,34,41,40,34,34,40,40,40,34,41,34,40,41,41]) ).
cnf(43,plain,
( 'E'(s(s('0')),f(suc(suc(z))))
| 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_204,26]) ).
cnf(44,plain,
( 'E'(s(s('0')),f(suc(suc(suc(z)))))
| 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_204,28]) ).
cnf(45,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z)))
| iLEQ(suc(suc(suc(z))),suc(suc(suc(z)))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_126,44,43]) ).
cnf(46,plain,
( 'E'(s('0'),f(suc(suc(z))))
| 'E'('0',f(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_431,45,43,44,43,45,44,43,43,44,44,44,43,45,43,44,45,45]) ).
cnf(47,plain,
( 'E'('0',f(suc(z)))
| iLEQ(suc(suc(z)),suc(suc(z))) ),
inference('HYPERRESOLVE',[status(thm)],[clause_493,46,42]) ).
cnf(48,plain,
'E'('0',f(suc(z))),
inference('HYPERRESOLVE',[status(thm)],[clause_193,47,46,46,42,46,46,42,42,42,47,47,46,42,46,47,42,47]) ).
cnf(49,plain,
iLEQ(suc(z),suc(z)),
inference('HYPERRESOLVE',[status(thm)],[clause_281,48,39]) ).
cnf(50,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause_453,48,39,48,39,39,39,48,48,48,48,39,39]),49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SYO674-1 : TPTP v8.1.0. Released v7.3.0.
% 0.02/0.09 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n013.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Sat Jul 9 05:35:29 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38 *
% 0.14/0.38 *
% 0.14/0.38 #<PACKAGE "SNARK-USER">
% 0.14/0.38 *
% 0.14/0.38 SNARK-TPTP-OPTIONS
% 0.14/0.38 *
% 0.14/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.38 (USE-FACTORING :POS)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.38 *
% 0.14/0.38 "."
% 0.14/0.38 *
% 0.14/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T05:35:29
% 0.14/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-09T05:35:29
% 0.14/0.48
% 0.14/0.48
% 0.14/0.48 #||
% 0.14/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.48 % SZS output start Refutation
% See solution above
% 0.14/0.50 ||#
% 0.14/0.50
% 0.14/0.50 ; Summary of computation:
% 0.14/0.50 ; 396 formulas have been input or derived (from 47 formulas).
% 0.14/0.50 ; 50 (13%) were retained. Of these,
% 0.14/0.50 ; 20 (40%) were simplified or subsumed later,
% 0.14/0.50 ; 30 (60%) are still being kept.
% 0.14/0.50 ;
% 0.14/0.50 ; Run time in seconds excluding printing time:
% 0.14/0.50 ; 0.006 6% Read assertion file (1 call)
% 0.14/0.50 ; 0.002 2% Assert (14 calls)
% 0.14/0.50 ; 0.004 4% Process new row (51 calls)
% 0.14/0.50 ; 0.058 58% Resolution (92 calls)
% 0.14/0.50 ; 0.002 2% Paramodulation (46 calls)
% 0.14/0.50 ; 0.000 0% Factoring (32 calls)
% 0.14/0.50 ; 0.004 4% Condensing (44 calls)
% 0.14/0.50 ; 0.002 2% Forward subsumption (44 calls)
% 0.14/0.50 ; 0.001 1% Backward subsumption (43 calls)
% 0.14/0.50 ; 0.000 0% Clause clause subsumption (70 calls)
% 0.14/0.50 ; 0.001 1% Forward simplification (50 calls)
% 0.14/0.50 ; 0.002 2% Backward simplification (49 calls)
% 0.14/0.50 ; 0.000 0% Ordering (84 calls)
% 0.14/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.14/0.50 ; 0.000 0% Purity testing (1 call)
% 0.14/0.50 ; 0.018 18% Other
% 0.14/0.50 ; 0.100 Total
% 0.14/0.50 ; 0.114 Real time
% 0.14/0.50 ;
% 0.14/0.50 ; Term-hash-array has 103 terms in all.
% 0.14/0.50 ; Feature-vector-row-index has 24 entries (29 at peak, 43 added, 19 deleted).
% 0.14/0.50 ; Feature-vector-row-index has 147 nodes (213 at peak, 388 added, 241 deleted).
% 0.14/0.50 ; Retrieved 53 possibly forward subsuming rows in 44 calls.
% 0.14/0.50 ; Retrieved 18 possibly backward subsumed rows in 43 calls.
% 0.14/0.50 ; Path-index has 92 entries (100 at peak, 127 added, 35 deleted).
% 0.14/0.50 ; Path-index has 72 nodes (78 at peak, 106 added, 34 deleted).
% 0.14/0.50 ; Trie-index has 92 entries (100 at peak, 127 added, 35 deleted).
% 0.14/0.50 ; Trie-index has 78 nodes (90 at peak, 135 added, 57 deleted).
% 0.14/0.50 ; Retrieved 2 generalization terms in 40 calls.
% 0.14/0.50 ; Retrieved 5 instance terms in 5 calls.
% 0.14/0.50 ; Retrieved 13,792 unifiable terms in 4,620 calls.
% 0.14/0.50 ;
% 0.14/0.50 ; The agenda of rows to process has 2 entries:
% 0.14/0.50 ; 2 with value 15
% 0.14/0.50 ; The agenda of rows to give has 1 entry:
% 0.14/0.50 ; 1 with value (4 15)
% 0.14/0.50 Evaluation took:
% 0.14/0.50 0.114 seconds of real time
% 0.14/0.50 0.108413 seconds of user run time
% 0.14/0.50 0.005956 seconds of system run time
% 0.14/0.50 [Run times include 0.005 seconds GC run time.]
% 0.14/0.50 0 calls to %EVAL
% 0.14/0.50 0 page faults and
% 0.14/0.50 13,852,984 bytes consed.
% 0.14/0.50 :PROOF-FOUND
% 0.14/0.50 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T05:35:30
% 0.14/0.50 :PROOF-FOUND
% 0.14/0.50 *
%------------------------------------------------------------------------------