TSTP Solution File: SEU290+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU290+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 14:20:58 EDT 2022
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 12
% Syntax : Number of clauses : 18 ( 12 unt; 1 nHn; 18 RR)
% Number of literals : 30 ( 8 equ; 13 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 19 ( 2 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_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(13,axiom,
( ~ relation(X)
| ~ function(X)
| Y != relation_rng(X)
| in(Z,Y)
| ~ in(U,relation_dom(X))
| Z != apply(X,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
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(62,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(63,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(73,negated_conjecture,
function('SKOLEMAAAV24'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_funct_2) ).
cnf(74,negated_conjecture,
quasi_total('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_funct_2) ).
cnf(75,negated_conjecture,
relation_of2_as_subset('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV22'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_funct_2) ).
cnf(76,negated_conjecture,
in('SKOLEMAAAV23','SKOLEMAAAV21'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_funct_2) ).
cnf(77,negated_conjecture,
'SKOLEMAAAV22' != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_funct_2) ).
cnf(78,negated_conjecture,
~ in(apply('SKOLEMAAAV24','SKOLEMAAAV23'),relation_rng('SKOLEMAAAV24')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_funct_2) ).
cnf(108,plain,
relation_of2('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV22'),
inference('HYPERRESOLVE',[status(thm)],[63,75]) ).
cnf(141,plain,
element('SKOLEMAAAV24',powerset(cartesian_product2('SKOLEMAAAV21','SKOLEMAAAV22'))),
inference('HYPERRESOLVE',[status(thm)],[18,75]) ).
cnf(149,plain,
'SKOLEMAAAV21' = relation_dom_as_subset('SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV24'),
inference('UR-RESOLVE',[status(thm)],[5,75,77,74]) ).
cnf(220,plain,
'SKOLEMAAAV21' = relation_dom('SKOLEMAAAV24'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[62,108]),149,theory(equality)]) ).
cnf(1828,plain,
relation('SKOLEMAAAV24'),
inference('HYPERRESOLVE',[status(thm)],[4,141]) ).
cnf(1834,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,1828,73,78,theory(equality),theory(equality)]),76,220,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU290+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 23:25:07 EDT 2022
% 0.12/0.34 % 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 2022-06-18T23:25:07
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-18T23:25:07
% 0.20/0.50 WARNING:
% 0.20/0.50 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.57/0.76
% 0.57/0.76
% 0.57/0.76 #||
% 0.57/0.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.76 % SZS output start Refutation
% See solution above
% 0.57/0.76 ||#
% 0.57/0.76
% 0.57/0.76 ; Summary of computation:
% 0.57/0.76 ; 2321 formulas have been input or derived (from 185 formulas).
% 0.57/0.76 ; 1834 (79%) were retained. Of these,
% 0.57/0.76 ; 35 ( 2%) were simplified or subsumed later,
% 0.57/0.76 ; 1799 (98%) are still being kept.
% 0.57/0.76 ;
% 0.57/0.76 ; Run time in seconds excluding printing time:
% 0.57/0.76 ; 0.009 3% Read assertion file (1 call)
% 0.57/0.76 ; 0.004 1% Assert (55 calls)
% 0.57/0.76 ; 0.114 40% Process new row (2,196 calls)
% 0.57/0.76 ; 0.066 23% Resolution (368 calls)
% 0.57/0.76 ; 0.002 1% Paramodulation (184 calls)
% 0.57/0.76 ; 0.000 0% Factoring (3 calls)
% 0.57/0.76 ; 0.002 1% Condensing (92 calls)
% 0.57/0.76 ; 0.001 0% Forward subsumption (92 calls)
% 0.57/0.76 ; 0.003 1% Backward subsumption (82 calls)
% 0.57/0.76 ; 0.000 0% Clause clause subsumption (18 calls)
% 0.57/0.76 ; 0.026 9% Forward simplification (2,140 calls)
% 0.57/0.76 ; 0.020 7% Backward simplification (1,834 calls)
% 0.57/0.76 ; 0.000 0% Ordering (153 calls)
% 0.57/0.76 ; 0.000 0% Sortal reasoning (32 calls)
% 0.57/0.76 ; 0.000 0% Purity testing (1 call)
% 0.57/0.76 ; 0.036 13% Other
% 0.57/0.76 ; 0.283 Total
% 0.57/0.76 ; 0.286 Real time
% 0.57/0.76 ;
% 0.57/0.76 ; Term-hash-array has 3,511 terms in all.
% 0.57/0.76 ; Feature-vector-row-index has 77 entries (77 at peak, 82 added, 5 deleted).
% 0.57/0.76 ; Feature-vector-row-index has 395 nodes (395 at peak, 441 added, 46 deleted).
% 0.57/0.76 ; Retrieved 17 possibly forward subsuming rows in 92 calls.
% 0.57/0.76 ; Retrieved 3 possibly backward subsumed rows in 82 calls.
% 0.57/0.76 ; Path-index has 3,491 entries (3,491 at peak, 3,540 added, 49 deleted).
% 0.57/0.76 ; Path-index has 1,709 nodes (1,709 at peak, 1,761 added, 52 deleted).
% 0.57/0.76 ; Trie-index has 3,491 entries (3,491 at peak, 3,540 added, 49 deleted).
% 0.57/0.76 ; Trie-index has 6,260 nodes (6,260 at peak, 6,356 added, 96 deleted).
% 0.57/0.76 ; Retrieved 529 generalization terms in 2,884 calls.
% 0.57/0.76 ; Retrieved 1,765 instance terms in 1,751 calls.
% 0.57/0.76 ; Retrieved 77,115 unifiable terms in 6,633 calls.
% 0.57/0.76 ;
% 0.57/0.76 ; The agenda of rows to process has 5 entries:
% 0.57/0.76 ; 2 with value 20 2 with value 24 1 with value 28
% 0.57/0.76 ; The agenda of rows to give has 1629 entries:
% 0.57/0.76 ; 1 with value (4 9) 176 with value (4 16) 1 with value (4 24)
% 0.57/0.76 ; 54 with value (4 10) 44 with value (4 17) 3 with value (4 26)
% 0.57/0.76 ; 140 with value (4 11) 8 with value (4 18) 5 with value (4 29)
% 0.57/0.76 ; 191 with value (4 12) 8 with value (4 19) 2 with value (4 33)
% 0.57/0.76 ; 310 with value (4 13) 1 with value (4 20) 2 with value (4 35)
% 0.57/0.76 ; 391 with value (4 14) 3 with value (4 22) 2 with value (4 39)
% 0.57/0.76 ; 284 with value (4 15) 3 with value (4 23)
% 0.57/0.76 Evaluation took:
% 0.57/0.76 0.287 seconds of real time
% 0.57/0.76 0.259301 seconds of user run time
% 0.57/0.76 0.026081 seconds of system run time
% 0.57/0.76 [Run times include 0.014 seconds GC run time.]
% 0.57/0.76 0 calls to %EVAL
% 0.57/0.76 0 page faults and
% 0.57/0.76 17,241,640 bytes consed.
% 0.57/0.76 :PROOF-FOUND
% 0.57/0.76 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T23:25:08
% 0.57/0.76 :PROOF-FOUND
% 0.57/0.76 *
%------------------------------------------------------------------------------