TSTP Solution File: SEU270+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU270+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 14:20:48 EDT 2022
% Result : Theorem 1.38s 1.55s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 28 ( 17 unt; 4 nHn; 24 RR)
% Number of literals : 54 ( 4 equ; 29 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 23 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
( ~ ordinal(X)
| ~ ordinal(Y)
| ordinal_subset(X,Y)
| ordinal_subset(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).
cnf(10,axiom,
( ~ relation(X)
| connected(X)
| ~ is_connected_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d14_relat_2) ).
cnf(11,axiom,
( ~ relation(X)
| X != inclusion_relation(Y)
| relation_field(X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_wellord2) ).
cnf(13,axiom,
( ~ relation(X)
| X != inclusion_relation(Y)
| ~ in(Z,Y)
| ~ in(U,Y)
| in(ordered_pair(Z,U),X)
| ~ subset(Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_wellord2) ).
cnf(21,axiom,
( ~ relation(X)
| is_connected_in(X,Y)
| in('SKOLEMAAAV3'(Y,X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_2) ).
cnf(22,axiom,
( ~ relation(X)
| is_connected_in(X,Y)
| in('SKOLEMAAAV4'(Y,X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_2) ).
cnf(24,axiom,
( ~ relation(X)
| is_connected_in(X,Y)
| ~ in(ordered_pair('SKOLEMAAAV3'(Y,X),'SKOLEMAAAV4'(Y,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_2) ).
cnf(25,axiom,
( ~ relation(X)
| is_connected_in(X,Y)
| ~ in(ordered_pair('SKOLEMAAAV4'(Y,X),'SKOLEMAAAV3'(Y,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_relat_2) ).
cnf(26,axiom,
relation(inclusion_relation(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_wellord2) ).
cnf(55,axiom,
( ~ ordinal(X)
| ~ ordinal(Y)
| ~ ordinal_subset(X,Y)
| subset(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
cnf(62,axiom,
( ~ ordinal(X)
| ~ in(Y,X)
| ordinal(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
cnf(67,negated_conjecture,
ordinal('SKOLEMAAAV15'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_wellord2) ).
cnf(68,negated_conjecture,
~ connected(inclusion_relation('SKOLEMAAAV15')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_wellord2) ).
cnf(99,plain,
~ is_connected_in(inclusion_relation('SKOLEMAAAV15'),relation_field(inclusion_relation('SKOLEMAAAV15'))),
inference('UR-RESOLVE',[status(thm)],[10,26,68]) ).
cnf(124,plain,
relation_field(inclusion_relation(X)) = X,
inference('HYPERRESOLVE',[status(thm)],[11,26,theory(equality)]) ).
cnf(126,plain,
~ is_connected_in(inclusion_relation('SKOLEMAAAV15'),'SKOLEMAAAV15'),
inference('REWRITE',[status(thm)],[99,124,theory(equality)]) ).
cnf(158,plain,
in('SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV15'),
inference('UR-RESOLVE',[status(thm)],[22,126,26]) ).
cnf(159,plain,
in('SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV15'),
inference('UR-RESOLVE',[status(thm)],[21,126,26]) ).
cnf(161,plain,
~ in(ordered_pair('SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),inclusion_relation('SKOLEMAAAV15')),
inference('UR-RESOLVE',[status(thm)],[25,126,26]) ).
cnf(162,plain,
~ in(ordered_pair('SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),inclusion_relation('SKOLEMAAAV15')),
inference('UR-RESOLVE',[status(thm)],[24,126,26]) ).
cnf(267,plain,
ordinal('SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),
inference('HYPERRESOLVE',[status(thm)],[62,158,67]) ).
cnf(286,plain,
ordinal('SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),
inference('HYPERRESOLVE',[status(thm)],[62,159,67]) ).
cnf(313,plain,
( ordinal_subset('SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')))
| ordinal_subset('SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))) ),
inference('HYPERRESOLVE',[status(thm)],[8,286,267]) ).
cnf(1729,plain,
~ subset('SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),
inference('UR-RESOLVE',[status(thm)],[13,161,26,158,159,theory(equality)]) ).
cnf(1731,plain,
~ ordinal_subset('SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),
inference('UR-RESOLVE',[status(thm)],[55,1729,267,286]) ).
cnf(1732,plain,
ordinal_subset('SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),
inference('REWRITE',[status(thm)],[313,1731]) ).
cnf(1734,plain,
subset('SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),
inference('HYPERRESOLVE',[status(thm)],[55,1732,286,267]) ).
cnf(1736,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,1734,26,159,158,theory(equality)]),162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU270+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 06:33:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T06:33:33
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-06-20T06:33:33
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.49 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.49 ; Declaring unordered_pair to be commutative.
% 0.20/0.49 WARNING:
% 0.20/0.49 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.49 WARNING:
% 0.20/0.49 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.38/1.55 ; Declaring set_union2 to be commutative.
% 1.38/1.55
% 1.38/1.55 #||
% 1.38/1.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.38/1.55 % SZS output start Refutation
% See solution above
% 1.38/1.55 ||#
% 1.38/1.55
% 1.38/1.55 ; Summary of computation:
% 1.38/1.55 ; 5718 formulas have been input or derived (from 412 formulas).
% 1.38/1.55 ; 1736 (30%) were retained. Of these,
% 1.38/1.55 ; 67 ( 4%) were simplified or subsumed later,
% 1.38/1.55 ; 1669 (96%) are still being kept.
% 1.38/1.55 ;
% 1.38/1.55 ; Run time in seconds excluding printing time:
% 1.38/1.55 ; 0.009 1% Read assertion file (1 call)
% 1.38/1.55 ; 0.003 0% Assert (55 calls)
% 1.38/1.55 ; 0.179 17% Process new row (5,102 calls)
% 1.38/1.55 ; 0.167 15% Resolution (822 calls)
% 1.38/1.55 ; 0.010 1% Paramodulation (411 calls)
% 1.38/1.55 ; 0.000 0% Factoring (109 calls)
% 1.38/1.55 ; 0.015 1% Condensing (2,968 calls)
% 1.38/1.55 ; 0.430 40% Forward subsumption (2,968 calls)
% 1.38/1.55 ; 0.059 5% Backward subsumption (1,322 calls)
% 1.38/1.55 ; 0.016 1% Clause clause subsumption (5,433 calls)
% 1.38/1.55 ; 0.131 12% Forward simplification (5,045 calls)
% 1.38/1.55 ; 0.006 1% Backward simplification (1,735 calls)
% 1.38/1.55 ; 0.008 1% Ordering (4,245 calls)
% 1.38/1.55 ; 0.000 0% Sortal reasoning (32 calls)
% 1.38/1.55 ; 0.000 0% Purity testing (1 call)
% 1.38/1.55 ; 0.045 4% Other
% 1.38/1.55 ; 1.078 Total
% 1.38/1.55 ; 1.081 Real time
% 1.38/1.55 ;
% 1.38/1.55 ; Term-hash-array has 2,816 terms in all.
% 1.38/1.55 ; Feature-vector-row-index has 1,291 entries (1,292 at peak, 1,322 added, 31 deleted).
% 1.38/1.55 ; Feature-vector-row-index has 6,484 nodes (6,494 at peak, 6,609 added, 125 deleted).
% 1.38/1.55 ; Retrieved 21,835 possibly forward subsuming rows in 2,968 calls.
% 1.38/1.55 ; Retrieved 1,954 possibly backward subsumed rows in 1,322 calls.
% 1.38/1.55 ; Path-index has 2,791 entries (2,791 at peak, 2,862 added, 71 deleted).
% 1.38/1.55 ; Path-index has 3,710 nodes (3,710 at peak, 3,758 added, 48 deleted).
% 1.38/1.55 ; Trie-index has 2,791 entries (2,791 at peak, 2,862 added, 71 deleted).
% 1.38/1.55 ; Trie-index has 9,326 nodes (9,326 at peak, 9,447 added, 121 deleted).
% 1.38/1.55 ; Retrieved 4,437 generalization terms in 24,381 calls.
% 1.38/1.55 ; Retrieved 420 instance terms in 412 calls.
% 1.38/1.55 ; Retrieved 185,147 unifiable terms in 15,636 calls.
% 1.38/1.55 ;
% 1.38/1.55 ; The agenda of rows to process has 1 entry:
% 1.38/1.55 ; 1 with value 27
% 1.38/1.55 ; The agenda of rows to give has 1273 entries:
% 1.38/1.55 ; 44 with value (4 18) 24 with value (4 40) 4 with value (4 67)
% 1.38/1.55 ; 52 with value (4 19) 20 with value (4 41) 12 with value (4 68)
% 1.38/1.55 ; 21 with value (4 20) 12 with value (4 42) 12 with value (4 69)
% 1.38/1.55 ; 13 with value (4 21) 6 with value (4 43) 36 with value (4 70)
% 1.38/1.55 ; 29 with value (4 22) 2 with value (4 44) 28 with value (4 71)
% 1.38/1.55 ; 19 with value (4 23) 12 with value (4 46) 4 with value (4 72)
% 1.38/1.55 ; 14 with value (4 24) 18 with value (4 48) 24 with value (4 73)
% 1.38/1.55 ; 26 with value (4 25) 30 with value (4 50) 8 with value (4 74)
% 1.38/1.55 ; 23 with value (4 26) 2 with value (4 51) 102 with value (4 75)
% 1.38/1.55 ; 20 with value (4 27) 34 with value (4 52) 4 with value (4 76)
% 1.38/1.55 ; 41 with value (4 28) 2 with value (4 53) 12 with value (4 77)
% 1.38/1.55 ; 7 with value (4 29) 8 with value (4 54) 54 with value (4 78)
% 1.38/1.55 ; 26 with value (4 30) 26 with value (4 55) 4 with value (4 80)
% 1.38/1.55 ; 10 with value (4 31) 8 with value (4 56) 40 with value (4 81)
% 1.38/1.55 ; 32 with value (4 32) 30 with value (4 58) 24 with value (4 82)
% 1.38/1.55 ; 8 with value (4 33) 4 with value (4 59) 12 with value (4 83)
% 1.38/1.55 ; 13 with value (4 34) 40 with value (4 60) 12 with value (4 84)
% 1.38/1.55 ; 19 with value (4 35) 10 with value (4 61) 8 with value (4 85)
% 1.38/1.55 ; 26 with value (4 36) 2 with value (4 62) 4 with value (4 86)
% 1.38/1.55 ; 20 with value (4 37) 22 with value (4 63) 24 with value (4 88)
% 1.38/1.55 ; 10 with value (4 38) 12 with value (4 64) 8 with value (4 91)
% 1.38/1.55 ; 38 with value (4 39) 2 with value (4 66)
% 1.38/1.55 Evaluation took:
% 1.38/1.55 1.082 seconds of real time
% 1.38/1.55 1.011819 seconds of user run time
% 1.38/1.55 0.070109 seconds of system run time
% 1.38/1.55 [Run times include 0.066 seconds GC run time.]
% 1.38/1.55 0 calls to %EVAL
% 1.38/1.55 0 page faults and
% 1.38/1.55 109,567,432 bytes consed.
% 1.38/1.55 :PROOF-FOUND
% 1.38/1.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T06:33:34
% 1.38/1.55 :PROOF-FOUND
% 1.38/1.55 *
%------------------------------------------------------------------------------