%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU261+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 14:20:43 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 18
% Syntax : Number of clauses : 29 ( 18 unt; 0 nHn; 29 RR)
% Number of literals : 75 ( 0 equ; 47 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| reflexive(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(2,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| transitive(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(3,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| antisymmetric(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(4,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| connected(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(5,axiom,
( ~ relation(X)
| ~ well_ordering(X)
| well_founded_relation(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(6,axiom,
( ~ relation(X)
| well_ordering(X)
| ~ reflexive(X)
| ~ transitive(X)
| ~ antisymmetric(X)
| ~ connected(X)
| ~ well_founded_relation(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_wellord1) ).
cnf(9,axiom,
( ~ relation(X)
| ~ relation(Y)
| ~ relation(Z)
| ~ function(Z)
| ~ relation_isomorphism(X,Y,Z)
| ~ reflexive(X)
| reflexive(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_wellord1) ).
cnf(10,axiom,
( ~ relation(X)
| ~ relation(Y)
| ~ relation(Z)
| ~ function(Z)
| ~ relation_isomorphism(X,Y,Z)
| ~ transitive(X)
| transitive(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_wellord1) ).
cnf(11,axiom,
( ~ relation(X)
| ~ relation(Y)
| ~ relation(Z)
| ~ function(Z)
| ~ relation_isomorphism(X,Y,Z)
| ~ connected(X)
| connected(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_wellord1) ).
cnf(12,axiom,
( ~ relation(X)
| ~ relation(Y)
| ~ relation(Z)
| ~ function(Z)
| ~ relation_isomorphism(X,Y,Z)
| ~ antisymmetric(X)
| antisymmetric(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_wellord1) ).
cnf(13,axiom,
( ~ relation(X)
| ~ relation(Y)
| ~ relation(Z)
| ~ function(Z)
| ~ relation_isomorphism(X,Y,Z)
| ~ well_founded_relation(X)
| well_founded_relation(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_wellord1) ).
cnf(14,negated_conjecture,
relation('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_wellord1) ).
cnf(15,negated_conjecture,
relation('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_wellord1) ).
cnf(16,negated_conjecture,
relation('SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_wellord1) ).
cnf(17,negated_conjecture,
function('SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_wellord1) ).
cnf(18,negated_conjecture,
well_ordering('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_wellord1) ).
cnf(19,negated_conjecture,
relation_isomorphism('SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_wellord1) ).
cnf(20,negated_conjecture,
~ well_ordering('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_wellord1) ).
cnf(21,plain,
reflexive('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[1,14,18]) ).
cnf(22,plain,
transitive('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[2,14,18]) ).
cnf(23,plain,
antisymmetric('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[3,14,18]) ).
cnf(24,plain,
connected('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[4,14,18]) ).
cnf(25,plain,
well_founded_relation('SKOLEMAAAV2'),
inference('HYPERRESOLVE',[status(thm)],[5,14,18]) ).
cnf(26,plain,
reflexive('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[9,21,14,15,16,17,19]) ).
cnf(27,plain,
transitive('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[10,22,14,15,16,17,19]) ).
cnf(28,plain,
antisymmetric('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[12,23,14,15,16,17,19]) ).
cnf(29,plain,
connected('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[11,24,14,15,16,17,19]) ).
cnf(30,plain,
well_founded_relation('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[13,25,14,15,16,17,19]) ).
cnf(31,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6,29,15,20,26,27,28]),30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU261+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 15:33:58 EDT 2022
% 0.12/0.34 % 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 2022-06-19T15:33:58
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-19T15:33:58
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 43 formulas have been input or derived (from 30 formulas).
% 0.19/0.51 ; 31 (72%) were retained. Of these,
% 0.19/0.51 ; 31 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 3% Assert (4 calls)
% 0.19/0.51 ; 0.002 5% Process new row (34 calls)
% 0.19/0.51 ; 0.011 29% Resolution (58 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (29 calls)
% 0.19/0.51 ; 0.000 0% Condensing (11 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (11 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (11 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (34 calls)
% 0.19/0.51 ; 0.001 3% Backward simplification (31 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.021 55% Other
% 0.19/0.51 ; 0.038 Total
% 0.19/0.51 ; 0.042 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 35 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 11 entries (11 at peak, 11 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 38 nodes (38 at peak, 38 added, 0 deleted).
% 0.19/0.51 ; Retrieved 0 possibly forward subsuming rows in 11 calls.
% 0.19/0.51 ; Retrieved 0 possibly backward subsumed rows in 11 calls.
% 0.19/0.51 ; Path-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.19/0.51 ; Path-index has 49 nodes (49 at peak, 49 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 39 entries (39 at peak, 39 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 46 nodes (46 at peak, 46 added, 0 deleted).
% 0.19/0.51 ; Retrieved 4 generalization terms in 34 calls.
% 0.19/0.51 ; Retrieved 19 instance terms in 19 calls.
% 0.19/0.51 ; Retrieved 3,823 unifiable terms in 4,022 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to give has 1 entry:
% 0.19/0.51 ; 1 with value (4 5)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.042 seconds of real time
% 0.19/0.51 0.036075 seconds of user run time
% 0.19/0.51 0.005802 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,836,104 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T15:33:58
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------