TSTP Solution File: SEU275+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:20:50 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 9
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 8 RR)
% Number of literals : 20 ( 0 equ; 9 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 7 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( ~ relation(X)
| well_ordering(X)
| ~ reflexive(X)
| ~ transitive(X)
| ~ antisymmetric(X)
| ~ connected(X)
| ~ well_founded_relation(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(10,axiom,
relation(inclusion_relation(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_wellord2) ).
cnf(14,axiom,
reflexive(inclusion_relation(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_wellord2) ).
cnf(15,axiom,
transitive(inclusion_relation(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_wellord2) ).
cnf(16,axiom,
( ~ ordinal(X)
| connected(inclusion_relation(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_wellord2) ).
cnf(17,axiom,
antisymmetric(inclusion_relation(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_wellord2) ).
cnf(18,axiom,
( ~ ordinal(X)
| well_founded_relation(inclusion_relation(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_wellord2) ).
cnf(19,negated_conjecture,
ordinal('SKOLEMAAAV2'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_wellord2) ).
cnf(20,negated_conjecture,
~ well_ordering(inclusion_relation('SKOLEMAAAV2')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_wellord2) ).
cnf(23,plain,
connected(inclusion_relation('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[16,19]) ).
cnf(25,plain,
well_founded_relation(inclusion_relation('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[18,19]) ).
cnf(27,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[9,23,10,20,14,15,17]),25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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 03:32:33 EDT 2022
% 0.13/0.35 % 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 2022-06-19T03:32:34
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-19T03:32:34
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 41 formulas have been input or derived (from 24 formulas).
% 0.20/0.51 ; 27 (66%) were retained. Of these,
% 0.20/0.51 ; 27 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.002 7% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (11 calls)
% 0.20/0.51 ; 0.003 10% Process new row (39 calls)
% 0.20/0.51 ; 0.001 3% Resolution (46 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (23 calls)
% 0.20/0.51 ; 0.000 0% Condensing (11 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (11 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (11 calls)
% 0.20/0.51 ; 0.000 0% Forward simplification (39 calls)
% 0.20/0.51 ; 0.000 0% Backward simplification (27 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.022 76% Other
% 0.20/0.51 ; 0.029 Total
% 0.20/0.51 ; 0.030 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 30 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 33 nodes (33 at peak, 33 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 possibly forward subsuming rows in 11 calls.
% 0.20/0.51 ; Retrieved 0 possibly backward subsumed rows in 11 calls.
% 0.20/0.51 ; Path-index has 32 entries (32 at peak, 32 added, 0 deleted).
% 0.20/0.51 ; Path-index has 51 nodes (51 at peak, 51 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 32 entries (32 at peak, 32 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 51 nodes (51 at peak, 51 added, 0 deleted).
% 0.20/0.51 ; Retrieved 13 generalization terms in 20 calls.
% 0.20/0.51 ; Retrieved 15 instance terms in 15 calls.
% 0.20/0.51 ; Retrieved 248 unifiable terms in 168 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to give has 3 entries:
% 0.20/0.51 ; 3 with value (4 6)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.031 seconds of real time
% 0.20/0.51 0.028391 seconds of user run time
% 0.20/0.51 0.00289 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 1,952,584 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T03:32:34
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------