TSTP Solution File: SEU234+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU234+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : Tue Jul 19 14:20:27 EDT 2022
% Result : Theorem 0.19s 0.56s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 7 unt; 10 nHn; 21 RR)
% Number of literals : 48 ( 6 equ; 14 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ epsilon_transitive(X)
| ~ epsilon_connected(X)
| ordinal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_ordinal1) ).
cnf(9,axiom,
( epsilon_transitive(X)
| in('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
cnf(10,axiom,
( epsilon_transitive(X)
| ~ subset('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
cnf(12,axiom,
( epsilon_connected(X)
| in('SKOLEMAAAV2'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
cnf(13,axiom,
( epsilon_connected(X)
| in('SKOLEMAAAV3'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
cnf(14,axiom,
( epsilon_connected(X)
| ~ in('SKOLEMAAAV2'(X),'SKOLEMAAAV3'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
cnf(15,axiom,
( epsilon_connected(X)
| 'SKOLEMAAAV2'(X) != 'SKOLEMAAAV3'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
cnf(16,axiom,
( epsilon_connected(X)
| ~ in('SKOLEMAAAV3'(X),'SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_ordinal1) ).
cnf(40,axiom,
( ~ ordinal(X)
| ~ ordinal(Y)
| in(X,Y)
| X = Y
| in(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).
cnf(42,negated_conjecture,
( ~ in(X,'SKOLEMAAAV17')
| ordinal(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_ordinal1) ).
cnf(43,negated_conjecture,
( ~ in(X,'SKOLEMAAAV17')
| subset(X,'SKOLEMAAAV17') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_ordinal1) ).
cnf(44,negated_conjecture,
~ ordinal('SKOLEMAAAV17'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_ordinal1) ).
cnf(70,plain,
( epsilon_transitive('SKOLEMAAAV17')
| subset('SKOLEMAAAV1'('SKOLEMAAAV17'),'SKOLEMAAAV17') ),
inference('HYPERRESOLVE',[status(thm)],[43,9]) ).
cnf(71,plain,
( epsilon_connected('SKOLEMAAAV17')
| ordinal('SKOLEMAAAV2'('SKOLEMAAAV17')) ),
inference('HYPERRESOLVE',[status(thm)],[42,12]) ).
cnf(74,plain,
( epsilon_connected('SKOLEMAAAV17')
| ordinal('SKOLEMAAAV3'('SKOLEMAAAV17')) ),
inference('HYPERRESOLVE',[status(thm)],[42,13]) ).
cnf(141,plain,
( epsilon_connected('SKOLEMAAAV17')
| in('SKOLEMAAAV3'('SKOLEMAAAV17'),'SKOLEMAAAV2'('SKOLEMAAAV17'))
| 'SKOLEMAAAV3'('SKOLEMAAAV17') = 'SKOLEMAAAV2'('SKOLEMAAAV17')
| in('SKOLEMAAAV2'('SKOLEMAAAV17'),'SKOLEMAAAV3'('SKOLEMAAAV17')) ),
inference('HYPERRESOLVE',[status(thm)],[40,74,71]) ).
cnf(161,plain,
epsilon_transitive('SKOLEMAAAV17'),
inference('HYPERRESOLVE',[status(thm)],[10,70]) ).
cnf(162,plain,
~ epsilon_connected('SKOLEMAAAV17'),
inference('UR-RESOLVE',[status(thm)],[4,161,44]) ).
cnf(178,plain,
( in('SKOLEMAAAV3'('SKOLEMAAAV17'),'SKOLEMAAAV2'('SKOLEMAAAV17'))
| 'SKOLEMAAAV3'('SKOLEMAAAV17') = 'SKOLEMAAAV2'('SKOLEMAAAV17')
| in('SKOLEMAAAV2'('SKOLEMAAAV17'),'SKOLEMAAAV3'('SKOLEMAAAV17')) ),
inference('REWRITE',[status(thm)],[141,162]) ).
cnf(182,plain,
~ in('SKOLEMAAAV3'('SKOLEMAAAV17'),'SKOLEMAAAV2'('SKOLEMAAAV17')),
inference('UR-RESOLVE',[status(thm)],[16,162]) ).
cnf(183,plain,
( 'SKOLEMAAAV3'('SKOLEMAAAV17') = 'SKOLEMAAAV2'('SKOLEMAAAV17')
| in('SKOLEMAAAV2'('SKOLEMAAAV17'),'SKOLEMAAAV3'('SKOLEMAAAV17')) ),
inference('REWRITE',[status(thm)],[178,182]) ).
cnf(184,plain,
'SKOLEMAAAV3'('SKOLEMAAAV17') != 'SKOLEMAAAV2'('SKOLEMAAAV17'),
inference('UR-RESOLVE',[status(thm)],[15,162]) ).
cnf(185,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV17'),'SKOLEMAAAV3'('SKOLEMAAAV17')),
inference('REWRITE',[status(thm)],[183,184]) ).
cnf(186,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[14,162]),185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU234+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 : Sun Jun 19 19:22:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T19:22:34
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-19T19:22:34
% 0.19/0.50 WARNING:
% 0.19/0.50 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50 WARNING:
% 0.19/0.50 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50 WARNING:
% 0.19/0.50 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.50 WARNING:
% 0.19/0.50 |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.56
% 0.19/0.56
% 0.19/0.56 #||
% 0.19/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.56 % SZS output start Refutation
% See solution above
% 0.19/0.56 ||#
% 0.19/0.56
% 0.19/0.56 ; Summary of computation:
% 0.19/0.56 ; 531 formulas have been input or derived (from 99 formulas).
% 0.19/0.56 ; 186 (35%) were retained. Of these,
% 0.19/0.56 ; 50 (27%) were simplified or subsumed later,
% 0.19/0.56 ; 136 (73%) are still being kept.
% 0.19/0.56 ;
% 0.19/0.56 ; Run time in seconds excluding printing time:
% 0.19/0.56 ; 0.007 9% Read assertion file (1 call)
% 0.19/0.56 ; 0.003 4% Assert (41 calls)
% 0.19/0.56 ; 0.009 11% Process new row (468 calls)
% 0.19/0.56 ; 0.013 16% Resolution (196 calls)
% 0.19/0.56 ; 0.002 3% Paramodulation (98 calls)
% 0.19/0.56 ; 0.000 0% Factoring (10 calls)
% 0.19/0.56 ; 0.002 3% Condensing (112 calls)
% 0.19/0.56 ; 0.003 4% Forward subsumption (112 calls)
% 0.19/0.56 ; 0.001 1% Backward subsumption (90 calls)
% 0.19/0.56 ; 0.001 1% Clause clause subsumption (58 calls)
% 0.19/0.56 ; 0.005 6% Forward simplification (421 calls)
% 0.19/0.56 ; 0.000 0% Backward simplification (186 calls)
% 0.19/0.56 ; 0.000 0% Ordering (146 calls)
% 0.19/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.56 ; 0.001 1% Purity testing (1 call)
% 0.19/0.56 ; 0.032 41% Other
% 0.19/0.56 ; 0.079 Total
% 0.19/0.56 ; 0.082 Real time
% 0.19/0.56 ;
% 0.19/0.56 ; Term-hash-array has 240 terms in all.
% 0.19/0.56 ; Feature-vector-row-index has 61 entries (80 at peak, 90 added, 29 deleted).
% 0.19/0.56 ; Feature-vector-row-index has 206 nodes (318 at peak, 350 added, 144 deleted).
% 0.19/0.56 ; Retrieved 93 possibly forward subsuming rows in 112 calls.
% 0.19/0.56 ; Retrieved 3 possibly backward subsumed rows in 90 calls.
% 0.19/0.56 ; Path-index has 207 entries (227 at peak, 288 added, 81 deleted).
% 0.19/0.56 ; Path-index has 267 nodes (275 at peak, 312 added, 45 deleted).
% 0.19/0.56 ; Trie-index has 207 entries (227 at peak, 288 added, 81 deleted).
% 0.19/0.56 ; Trie-index has 375 nodes (412 at peak, 511 added, 136 deleted).
% 0.19/0.56 ; Retrieved 288 generalization terms in 649 calls.
% 0.19/0.56 ; Retrieved 99 instance terms in 95 calls.
% 0.19/0.56 ; Retrieved 4,276 unifiable terms in 1,238 calls.
% 0.19/0.56 ;
% 0.19/0.56 ; The agenda of rows to give has 52 entries:
% 0.19/0.56 ; 2 with value (4 6) 5 with value (4 13) 4 with value (4 20)
% 0.19/0.56 ; 6 with value (4 7) 5 with value (4 14) 2 with value (4 22)
% 0.19/0.56 ; 1 with value (4 9) 1 with value (4 15) 3 with value (4 24)
% 0.19/0.56 ; 11 with value (4 10) 1 with value (4 16) 2 with value (4 25)
% 0.19/0.56 ; 5 with value (4 11) 4 with value (4 18)
% 0.19/0.56 Evaluation took:
% 0.19/0.56 0.082 seconds of real time
% 0.19/0.56 0.069236 seconds of user run time
% 0.19/0.56 0.013021 seconds of system run time
% 0.19/0.56 0 calls to %EVAL
% 0.19/0.56 0 page faults and
% 0.19/0.56 5,282,256 bytes consed.
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T19:22:34
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 *
%------------------------------------------------------------------------------