TSTP Solution File: SEU293+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU293+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 14:21:00 EDT 2022
% Result : Theorem 0.78s 0.94s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of clauses : 25 ( 13 unt; 3 nHn; 25 RR)
% Number of literals : 50 ( 9 equ; 26 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 27 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ element(X,powerset(cartesian_product2(Y,Z)))
| relation(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
cnf(5,axiom,
( ~ relation(X)
| ~ function(X)
| Y != relation_inverse_image(X,Z)
| ~ in(U,Y)
| in(U,relation_dom(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).
cnf(6,axiom,
( ~ relation(X)
| ~ function(X)
| Y != relation_inverse_image(X,Z)
| ~ in(U,Y)
| in(apply(X,U),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).
cnf(7,axiom,
( ~ relation(X)
| ~ function(X)
| Y != relation_inverse_image(X,Z)
| in(U,Y)
| ~ in(U,relation_dom(X))
| ~ in(apply(X,U),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_funct_1) ).
cnf(11,axiom,
( ~ relation_of2_as_subset(X,Y,Z)
| Z = empty_set
| ~ quasi_total(X,Y,Z)
| Y = relation_dom_as_subset(Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
cnf(18,axiom,
( ~ relation_of2_as_subset(X,Y,Z)
| element(X,powerset(cartesian_product2(Y,Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
cnf(59,axiom,
( ~ relation_of2(X,Y,Z)
| relation_dom_as_subset(Y,Z,X) = relation_dom(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
cnf(60,axiom,
( ~ relation_of2_as_subset(X,Y,Z)
| relation_of2(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
cnf(67,negated_conjecture,
function('SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_2) ).
cnf(68,negated_conjecture,
quasi_total('SKOLEMAAAV22','SKOLEMAAAV19','SKOLEMAAAV20'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_2) ).
cnf(69,negated_conjecture,
relation_of2_as_subset('SKOLEMAAAV22','SKOLEMAAAV19','SKOLEMAAAV20'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_2) ).
cnf(70,negated_conjecture,
'SKOLEMAAAV20' != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_2) ).
cnf(71,negated_conjecture,
( ~ in('SKOLEMAAAV23',relation_inverse_image('SKOLEMAAAV22','SKOLEMAAAV21'))
| ~ in('SKOLEMAAAV23','SKOLEMAAAV19')
| ~ in(apply('SKOLEMAAAV22','SKOLEMAAAV23'),'SKOLEMAAAV21') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_2) ).
cnf(72,negated_conjecture,
( in('SKOLEMAAAV23',relation_inverse_image('SKOLEMAAAV22','SKOLEMAAAV21'))
| in('SKOLEMAAAV23','SKOLEMAAAV19') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_2) ).
cnf(73,negated_conjecture,
( in('SKOLEMAAAV23',relation_inverse_image('SKOLEMAAAV22','SKOLEMAAAV21'))
| in(apply('SKOLEMAAAV22','SKOLEMAAAV23'),'SKOLEMAAAV21') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t46_funct_2) ).
cnf(101,plain,
relation_of2('SKOLEMAAAV22','SKOLEMAAAV19','SKOLEMAAAV20'),
inference('HYPERRESOLVE',[status(thm)],[60,69]) ).
cnf(133,plain,
element('SKOLEMAAAV22',powerset(cartesian_product2('SKOLEMAAAV19','SKOLEMAAAV20'))),
inference('HYPERRESOLVE',[status(thm)],[18,69]) ).
cnf(142,plain,
'SKOLEMAAAV19' = relation_dom_as_subset('SKOLEMAAAV19','SKOLEMAAAV20','SKOLEMAAAV22'),
inference('UR-RESOLVE',[status(thm)],[11,69,70,68]) ).
cnf(206,plain,
'SKOLEMAAAV19' = relation_dom('SKOLEMAAAV22'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[59,101]),142,theory(equality)]) ).
cnf(1073,plain,
relation('SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[4,133]) ).
cnf(1080,plain,
in(apply('SKOLEMAAAV22','SKOLEMAAAV23'),'SKOLEMAAAV21'),
inference('HYPERRESOLVE',[status(thm)],[6,1073,67,73,theory(equality)]) ).
cnf(1081,plain,
( ~ in('SKOLEMAAAV23',relation_inverse_image('SKOLEMAAAV22','SKOLEMAAAV21'))
| ~ in('SKOLEMAAAV23','SKOLEMAAAV19') ),
inference('REWRITE',[status(thm)],[71,1080]) ).
cnf(1083,plain,
in('SKOLEMAAAV23','SKOLEMAAAV19'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,1073,67,72,theory(equality)]),206,theory(equality)]) ).
cnf(1084,plain,
~ in('SKOLEMAAAV23',relation_inverse_image('SKOLEMAAAV22','SKOLEMAAAV21')),
inference('REWRITE',[status(thm)],[1081,1083]) ).
cnf(3292,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[7,1080,1073,67,1084,theory(equality)]),1083,206,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU293+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 20 13:04:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T13:04:08
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-20T13:04:08
% 0.20/0.51 WARNING:
% 0.20/0.51 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.51 WARNING:
% 0.20/0.51 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.78/0.94
% 0.78/0.94
% 0.78/0.94 #||
% 0.78/0.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/0.94 % SZS output start Refutation
% See solution above
% 0.78/0.94 ||#
% 0.78/0.94
% 0.78/0.94 ; Summary of computation:
% 0.78/0.94 ; 4115 formulas have been input or derived (from 221 formulas).
% 0.78/0.94 ; 3292 (80%) were retained. Of these,
% 0.78/0.94 ; 52 ( 2%) were simplified or subsumed later,
% 0.78/0.94 ; 3240 (98%) are still being kept.
% 0.78/0.94 ;
% 0.78/0.94 ; Run time in seconds excluding printing time:
% 0.78/0.94 ; 0.010 2% Read assertion file (1 call)
% 0.78/0.94 ; 0.002 0% Assert (53 calls)
% 0.78/0.94 ; 0.213 47% Process new row (3,964 calls)
% 0.78/0.94 ; 0.110 24% Resolution (440 calls)
% 0.78/0.94 ; 0.006 1% Paramodulation (220 calls)
% 0.78/0.94 ; 0.000 0% Factoring (5 calls)
% 0.78/0.94 ; 0.001 0% Condensing (119 calls)
% 0.78/0.94 ; 0.003 1% Forward subsumption (119 calls)
% 0.78/0.94 ; 0.001 0% Backward subsumption (93 calls)
% 0.78/0.94 ; 0.001 0% Clause clause subsumption (51 calls)
% 0.78/0.94 ; 0.032 7% Forward simplification (3,869 calls)
% 0.78/0.94 ; 0.021 5% Backward simplification (3,292 calls)
% 0.78/0.94 ; 0.000 0% Ordering (263 calls)
% 0.78/0.94 ; 0.000 0% Sortal reasoning (32 calls)
% 0.78/0.94 ; 0.000 0% Purity testing (1 call)
% 0.78/0.94 ; 0.051 11% Other
% 0.78/0.94 ; 0.451 Total
% 0.78/0.94 ; 0.453 Real time
% 0.78/0.94 ;
% 0.78/0.94 ; Term-hash-array has 6,374 terms in all.
% 0.78/0.94 ; Feature-vector-row-index has 78 entries (80 at peak, 93 added, 15 deleted).
% 0.78/0.94 ; Feature-vector-row-index has 426 nodes (455 at peak, 570 added, 144 deleted).
% 0.78/0.94 ; Retrieved 50 possibly forward subsuming rows in 119 calls.
% 0.78/0.94 ; Retrieved 3 possibly backward subsumed rows in 93 calls.
% 0.78/0.94 ; Path-index has 6,343 entries (6,343 at peak, 6,416 added, 73 deleted).
% 0.78/0.94 ; Path-index has 1,943 nodes (1,943 at peak, 2,021 added, 78 deleted).
% 0.78/0.95 ; Trie-index has 6,343 entries (6,343 at peak, 6,416 added, 73 deleted).
% 0.78/0.95 ; Trie-index has 11,482 nodes (11,482 at peak, 11,650 added, 168 deleted).
% 0.78/0.95 ; Retrieved 1,025 generalization terms in 5,605 calls.
% 0.78/0.95 ; Retrieved 3,216 instance terms in 3,198 calls.
% 0.78/0.95 ; Retrieved 167,236 unifiable terms in 12,066 calls.
% 0.78/0.95 ;
% 0.78/0.95 ; The agenda of rows to process has 10 entries:
% 0.78/0.95 ; 1 with value 10 7 with value 11 2 with value 14
% 0.78/0.95 ; The agenda of rows to give has 3037 entries:
% 0.78/0.95 ; 1 with value (4 7) 821 with value (4 16) 6 with value (4 26)
% 0.78/0.95 ; 3 with value (4 10) 903 with value (4 17) 3 with value (4 27)
% 0.78/0.95 ; 94 with value (4 11) 111 with value (4 18) 2 with value (4 28)
% 0.78/0.95 ; 102 with value (4 12) 4 with value (4 19) 1 with value (4 29)
% 0.78/0.95 ; 209 with value (4 13) 4 with value (4 20) 2 with value (4 36)
% 0.78/0.95 ; 338 with value (4 14) 3 with value (4 21) 1 with value (4 37)
% 0.78/0.95 ; 421 with value (4 15) 4 with value (4 25) 4 with value (4 38)
% 0.78/0.95 Evaluation took:
% 0.78/0.95 0.454 seconds of real time
% 0.78/0.95 0.420181 seconds of user run time
% 0.78/0.95 0.034019 seconds of system run time
% 0.78/0.95 [Run times include 0.038 seconds GC run time.]
% 0.78/0.95 0 calls to %EVAL
% 0.78/0.95 0 page faults and
% 0.78/0.95 31,296,600 bytes consed.
% 0.78/0.95 :PROOF-FOUND
% 0.78/0.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T13:04:09
% 0.78/0.95 :PROOF-FOUND
% 0.78/0.95 *
%------------------------------------------------------------------------------