TSTP Solution File: SEU253+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU253+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 14:20:39 EDT 2022
% Result : Theorem 10.95s 11.17s
% Output : Refutation 10.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 30 ( 18 unt; 4 nHn; 28 RR)
% Number of literals : 57 ( 3 equ; 27 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 24 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ relation(X)
| relation(relation_restriction(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).
cnf(12,axiom,
( ~ relation(X)
| ~ connected(X)
| ~ in(Y,relation_field(X))
| ~ in(Z,relation_field(X))
| Y = Z
| in(ordered_pair(Y,Z),X)
| in(ordered_pair(Z,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1) ).
cnf(13,axiom,
( ~ relation(X)
| connected(X)
| in('SKOLEMAAAN2'(X),relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1) ).
cnf(14,axiom,
( ~ relation(X)
| connected(X)
| in('SKOLEMAAAN3'(X),relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1) ).
cnf(15,axiom,
( ~ relation(X)
| connected(X)
| 'SKOLEMAAAN2'(X) != 'SKOLEMAAAN3'(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1) ).
cnf(16,axiom,
( ~ relation(X)
| connected(X)
| ~ in(ordered_pair('SKOLEMAAAN2'(X),'SKOLEMAAAN3'(X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1) ).
cnf(17,axiom,
( ~ relation(X)
| connected(X)
| ~ in(ordered_pair('SKOLEMAAAN3'(X),'SKOLEMAAAN2'(X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_wellord1) ).
cnf(26,axiom,
( in(ordered_pair(X,Y),cartesian_product2(Z,U))
| ~ in(X,Z)
| ~ in(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
cnf(29,axiom,
( ~ relation(X)
| in(Y,relation_restriction(X,Z))
| ~ in(Y,X)
| ~ in(Y,cartesian_product2(Z,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
cnf(30,axiom,
( ~ relation(X)
| ~ in(Y,relation_field(relation_restriction(X,Z)))
| in(Y,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_wellord1) ).
cnf(31,axiom,
( ~ relation(X)
| ~ in(Y,relation_field(relation_restriction(X,Z)))
| in(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_wellord1) ).
cnf(34,negated_conjecture,
relation('SKOLEMAAAN10'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_wellord1) ).
cnf(35,negated_conjecture,
connected('SKOLEMAAAN10'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_wellord1) ).
cnf(36,negated_conjecture,
~ connected(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_wellord1) ).
cnf(46,plain,
relation(relation_restriction('SKOLEMAAAN10',X)),
inference('HYPERRESOLVE',[status(thm)],[5,34]) ).
cnf(80,plain,
'SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')) != 'SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),
inference('UR-RESOLVE',[status(thm)],[15,46,36]) ).
cnf(81,plain,
in('SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),relation_field(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9'))),
inference('UR-RESOLVE',[status(thm)],[14,46,36]) ).
cnf(82,plain,
in('SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),relation_field(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9'))),
inference('UR-RESOLVE',[status(thm)],[13,46,36]) ).
cnf(84,plain,
~ in(ordered_pair('SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),'SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9'))),relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),
inference('UR-RESOLVE',[status(thm)],[17,46,36]) ).
cnf(85,plain,
~ in(ordered_pair('SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),'SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9'))),relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),
inference('UR-RESOLVE',[status(thm)],[16,46,36]) ).
cnf(402,plain,
in('SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),'SKOLEMAAAN9'),
inference('HYPERRESOLVE',[status(thm)],[31,81,34]) ).
cnf(403,plain,
in('SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),relation_field('SKOLEMAAAN10')),
inference('HYPERRESOLVE',[status(thm)],[30,81,34]) ).
cnf(526,plain,
in('SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),'SKOLEMAAAN9'),
inference('HYPERRESOLVE',[status(thm)],[31,82,34]) ).
cnf(527,plain,
in('SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),relation_field('SKOLEMAAAN10')),
inference('HYPERRESOLVE',[status(thm)],[30,82,34]) ).
cnf(559,plain,
in(ordered_pair('SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),'SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9'))),cartesian_product2('SKOLEMAAAN9','SKOLEMAAAN9')),
inference('HYPERRESOLVE',[status(thm)],[26,526,402]) ).
cnf(562,plain,
in(ordered_pair('SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),'SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9'))),cartesian_product2('SKOLEMAAAN9','SKOLEMAAAN9')),
inference('HYPERRESOLVE',[status(thm)],[26,526,402]) ).
cnf(615,plain,
( in(ordered_pair('SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),'SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9'))),'SKOLEMAAAN10')
| in(ordered_pair('SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),'SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9'))),'SKOLEMAAAN10') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,527,34,35,403]),80]) ).
cnf(21048,plain,
~ in(ordered_pair('SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),'SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9'))),'SKOLEMAAAN10'),
inference('UR-RESOLVE',[status(thm)],[29,559,34,85]) ).
cnf(21049,plain,
in(ordered_pair('SKOLEMAAAN3'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9')),'SKOLEMAAAN2'(relation_restriction('SKOLEMAAAN10','SKOLEMAAAN9'))),'SKOLEMAAAN10'),
inference('REWRITE',[status(thm)],[615,21048]) ).
cnf(21278,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[29,21049,34,84]),562]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : SEU253+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.08 % Command : run-snark %s %d
% 0.07/0.26 % Computer : n032.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Mon Jun 20 00:01:48 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.34 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.34 *
% 0.11/0.34 *
% 0.11/0.35 #<PACKAGE "SNARK-USER">
% 0.11/0.35 *
% 0.11/0.35 SNARK-TPTP-OPTIONS
% 0.11/0.35 *
% 0.11/0.35 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.35 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.35 (USE-FACTORING :POS)
% 0.11/0.35 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.35 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.35 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.35 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.35 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.35 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.35 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.35 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.35 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.35 (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.35 *
% 0.11/0.35 "."
% 0.11/0.35 *
% 0.11/0.35 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T00:01:48
% 0.11/0.35 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-20T00:01:48
% 0.11/0.36
% 0.11/0.36 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.11/0.36 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.11/0.36 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.11/0.36 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.11/0.36 ; Declaring unordered_pair to be commutative.
% 0.11/0.36 ; Declaring set_union2 to be commutative.
% 0.11/0.36 WARNING:
% 0.11/0.36 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.11/0.36 WARNING:
% 0.11/0.36 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 10.95/11.17 ; Declaring set_intersection2 to be commutative.
% 10.95/11.17
% 10.95/11.17 #||
% 10.95/11.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.95/11.17 % SZS output start Refutation
% See solution above
% 10.95/11.17 ||#
% 10.95/11.17
% 10.95/11.17 ; Summary of computation:
% 10.95/11.17 ; 32298 formulas have been input or derived (from 661 formulas).
% 10.95/11.17 ; 21278 (66%) were retained. Of these,
% 10.95/11.17 ; 324 ( 2%) were simplified or subsumed later,
% 10.95/11.17 ; 20954 (98%) are still being kept.
% 10.95/11.17 ;
% 10.95/11.17 ; Run time in seconds excluding printing time:
% 10.99/11.17 ; 0.006 0% Read assertion file (1 call)
% 10.99/11.17 ; 0.000 0% Assert (45 calls)
% 10.99/11.17 ; 2.392 22% Process new row (30,277 calls)
% 10.99/11.17 ; 2.182 20% Resolution (1,320 calls)
% 10.99/11.17 ; 0.067 1% Paramodulation (660 calls)
% 10.99/11.17 ; 0.001 0% Factoring (103 calls)
% 10.99/11.17 ; 0.136 1% Condensing (11,146 calls)
% 10.99/11.17 ; 3.679 34% Forward subsumption (11,146 calls)
% 10.99/11.17 ; 0.901 8% Backward subsumption (10,869 calls)
% 10.99/11.17 ; 0.252 2% Clause clause subsumption (90,488 calls)
% 10.99/11.17 ; 0.840 8% Forward simplification (30,217 calls)
% 10.99/11.17 ; 0.192 2% Backward simplification (21,278 calls)
% 10.99/11.17 ; 0.034 0% Ordering (33,886 calls)
% 10.99/11.17 ; 0.000 0% Sortal reasoning (32 calls)
% 10.99/11.17 ; 0.000 0% Purity testing (1 call)
% 10.99/11.17 ; 0.139 1% Other
% 10.99/11.17 ; 10.821 Total
% 10.99/11.17 ; 10.825 Real time
% 10.99/11.17 ;
% 10.99/11.18 ; Term-hash-array has 44,317 terms in all.
% 10.99/11.18 ; Feature-vector-row-index has 10,855 entries (10,855 at peak, 10,869 added, 14 deleted).
% 10.99/11.18 ; Feature-vector-row-index has 40,327 nodes (40,327 at peak, 40,498 added, 171 deleted).
% 10.99/11.18 ; Retrieved 71,185 possibly forward subsuming rows in 11,146 calls.
% 10.99/11.18 ; Retrieved 35,612 possibly backward subsumed rows in 10,869 calls.
% 10.99/11.18 ; Path-index has 43,439 entries (43,439 at peak, 44,360 added, 921 deleted).
% 10.99/11.18 ; Path-index has 7,945 nodes (7,945 at peak, 8,141 added, 196 deleted).
% 10.99/11.18 ; Trie-index has 43,439 entries (43,439 at peak, 44,360 added, 921 deleted).
% 10.99/11.18 ; Trie-index has 205,167 nodes (205,167 at peak, 207,915 added, 2,748 deleted).
% 10.99/11.18 ; Retrieved 43,859 generalization terms in 214,391 calls.
% 10.99/11.18 ; Retrieved 10,483 instance terms in 10,408 calls.
% 10.99/11.18 ; Retrieved 2,213,799 unifiable terms in 25,571 calls.
% 10.99/11.18 ;
% 10.99/11.18 ; The agenda of rows to process has 329 entries:
% 10.99/11.18 ; 1 with value 22 24 with value 30 60 with value 35
% 10.99/11.18 ; 4 with value 26 16 with value 31 42 with value 36
% 10.99/11.18 ; 4 with value 27 8 with value 32 20 with value 37
% 10.99/11.18 ; 8 with value 28 32 with value 33 16 with value 38
% 10.99/11.18 ; 14 with value 29 80 with value 34
% 10.99/11.18 ; The agenda of rows to give has 20341 entries:
% 10.99/11.18 ; 1 with value (4 8) 1660 with value (4 37) 52 with value (4 54)
% 10.99/11.18 ; 3 with value (4 20) 1174 with value (4 38) 9 with value (4 56)
% 10.99/11.18 ; 211 with value (4 21) 747 with value (4 39) 3 with value (4 57)
% 10.99/11.18 ; 200 with value (4 22) 392 with value (4 40) 39 with value (4 58)
% 10.99/11.18 ; 345 with value (4 23) 104 with value (4 41) 4 with value (4 59)
% 10.99/11.18 ; 465 with value (4 24) 178 with value (4 42) 10 with value (4 60)
% 10.99/11.18 ; 626 with value (4 25) 46 with value (4 43) 9 with value (4 62)
% 10.99/11.18 ; 881 with value (4 26) 227 with value (4 44) 21 with value (4 63)
% 10.99/11.18 ; 607 with value (4 27) 92 with value (4 45) 4 with value (4 65)
% 10.99/11.18 ; 936 with value (4 28) 67 with value (4 46) 8 with value (4 66)
% 10.99/11.18 ; 898 with value (4 29) 96 with value (4 47) 12 with value (4 67)
% 10.99/11.18 ; 1349 with value (4 30) 64 with value (4 48) 6 with value (4 68)
% 10.99/11.18 ; 1025 with value (4 31) 96 with value (4 49) 4 with value (4 71)
% 10.99/11.18 ; 1205 with value (4 32) 58 with value (4 50) 3 with value (4 73)
% 10.99/11.18 ; 947 with value (4 33) 12 with value (4 51) 6 with value (4 74)
% 10.99/11.18 ; 1530 with value (4 34) 59 with value (4 52) 12 with value (4 79)
% 10.99/11.18 ; 1910 with value (4 35) 13 with value (4 53) 3 with value (4 83)
% 10.99/11.18 ; 1912 with value (4 36)
% 10.99/11.18 Evaluation took:
% 10.99/11.18 10.83 seconds of real time
% 10.99/11.18 10.108149 seconds of user run time
% 10.99/11.18 0.721675 seconds of system run time
% 10.99/11.18 [Run times include 2.203 seconds GC run time.]
% 10.99/11.18 0 calls to %EVAL
% 10.99/11.18 0 page faults and
% 10.99/11.18 812,326,920 bytes consed.
% 10.99/11.18 :PROOF-FOUND
% 10.99/11.18 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T00:01:59
% 10.99/11.18 :PROOF-FOUND
% 10.99/11.18 *
%------------------------------------------------------------------------------