TSTP Solution File: NUM412+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM412+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 : Mon Jul 18 14:10:18 EDT 2022
% Result : Theorem 0.18s 0.54s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 19 RR)
% Number of literals : 36 ( 2 equ; 19 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(10,axiom,
( ~ relation(X)
| ~ function(X)
| ~ transfinite_sequence(X)
| ~ transfinite_sequence_of(X,Y)
| subset(relation_rng(X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_ordinal1) ).
cnf(12,axiom,
( ~ relation(X)
| ~ function(X)
| ~ transfinite_sequence(X)
| ~ ordinal(Y)
| transfinite_sequence_of(tseq_dom_restriction(X,Y),relation_rng(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_ordinal1) ).
cnf(14,axiom,
( ~ transfinite_sequence_of(X,Y)
| relation(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_ordinal1) ).
cnf(15,axiom,
( ~ transfinite_sequence_of(X,Y)
| function(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_ordinal1) ).
cnf(16,axiom,
( ~ transfinite_sequence_of(X,Y)
| transfinite_sequence(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_ordinal1) ).
cnf(67,axiom,
( ~ relation(X)
| ~ function(X)
| ~ transfinite_sequence(X)
| ~ ordinal(Y)
| tseq_dom_restriction(X,Y) = relation_dom_restriction(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_ordinal1) ).
cnf(73,axiom,
( ~ subset(X,Y)
| ~ transfinite_sequence_of(Z,X)
| transfinite_sequence_of(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_ordinal1) ).
cnf(74,negated_conjecture,
transfinite_sequence_of('SKOLEMAAAU18','SKOLEMAAAU17'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_ordinal1) ).
cnf(75,negated_conjecture,
ordinal('SKOLEMAAAU19'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_ordinal1) ).
cnf(76,negated_conjecture,
~ transfinite_sequence_of(tseq_dom_restriction('SKOLEMAAAU18','SKOLEMAAAU19'),'SKOLEMAAAU17'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_ordinal1) ).
cnf(96,plain,
relation('SKOLEMAAAU18'),
inference('HYPERRESOLVE',[status(thm)],[14,74]) ).
cnf(98,plain,
function('SKOLEMAAAU18'),
inference('HYPERRESOLVE',[status(thm)],[15,74]) ).
cnf(100,plain,
transfinite_sequence('SKOLEMAAAU18'),
inference('HYPERRESOLVE',[status(thm)],[16,74]) ).
cnf(150,plain,
subset(relation_rng('SKOLEMAAAU18'),'SKOLEMAAAU17'),
inference('HYPERRESOLVE',[status(thm)],[10,100,96,98,74]) ).
cnf(151,plain,
transfinite_sequence_of(tseq_dom_restriction('SKOLEMAAAU18','SKOLEMAAAU19'),relation_rng('SKOLEMAAAU18')),
inference('HYPERRESOLVE',[status(thm)],[12,100,96,98,75]) ).
cnf(155,plain,
tseq_dom_restriction('SKOLEMAAAU18','SKOLEMAAAU19') = relation_dom_restriction('SKOLEMAAAU18','SKOLEMAAAU19'),
inference('HYPERRESOLVE',[status(thm)],[67,100,96,98,75]) ).
cnf(156,plain,
~ transfinite_sequence_of(relation_dom_restriction('SKOLEMAAAU18','SKOLEMAAAU19'),'SKOLEMAAAU17'),
inference('REWRITE',[status(thm)],[76,155,theory(equality)]) ).
cnf(157,plain,
transfinite_sequence_of(relation_dom_restriction('SKOLEMAAAU18','SKOLEMAAAU19'),relation_rng('SKOLEMAAAU18')),
inference('REWRITE',[status(thm)],[151,155,theory(equality)]) ).
cnf(214,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[73,150,156]),157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM412+1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jul 6 19:06:53 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 *
% 0.18/0.47 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T19:06:53
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-06T19:06:53
% 0.18/0.50 WARNING:
% 0.18/0.50 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.50 WARNING:
% 0.18/0.50 |with_non_empty_elements| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.50 WARNING:
% 0.18/0.50 |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.54
% 0.18/0.54
% 0.18/0.54 #||
% 0.18/0.54 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.54 % SZS output start Refutation
% See solution above
% 0.18/0.54 ||#
% 0.18/0.54
% 0.18/0.54 ; Summary of computation:
% 0.18/0.54 ; 494 formulas have been input or derived (from 124 formulas).
% 0.18/0.54 ; 214 (43%) were retained. Of these,
% 0.18/0.54 ; 43 (20%) were simplified or subsumed later,
% 0.18/0.54 ; 171 (80%) are still being kept.
% 0.18/0.54 ;
% 0.18/0.54 ; Run time in seconds excluding printing time:
% 0.18/0.54 ; 0.009 14% Read assertion file (1 call)
% 0.18/0.54 ; 0.002 3% Assert (48 calls)
% 0.18/0.54 ; 0.015 23% Process new row (425 calls)
% 0.18/0.54 ; 0.010 15% Resolution (246 calls)
% 0.18/0.54 ; 0.000 0% Paramodulation (123 calls)
% 0.18/0.54 ; 0.003 5% Condensing (36 calls)
% 0.18/0.54 ; 0.000 0% Forward subsumption (36 calls)
% 0.18/0.54 ; 0.000 0% Backward subsumption (34 calls)
% 0.18/0.54 ; 0.000 0% Clause clause subsumption (5 calls)
% 0.18/0.54 ; 0.001 2% Forward simplification (406 calls)
% 0.18/0.54 ; 0.003 5% Backward simplification (214 calls)
% 0.18/0.54 ; 0.000 0% Ordering (38 calls)
% 0.18/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.54 ; 0.001 2% Purity testing (1 call)
% 0.18/0.54 ; 0.021 32% Other
% 0.18/0.54 ; 0.065 Total
% 0.18/0.54 ; 0.068 Real time
% 0.18/0.54 ;
% 0.18/0.54 ; Term-hash-array has 278 terms in all.
% 0.18/0.54 ; Feature-vector-row-index has 34 entries (34 at peak, 34 added, 0 deleted).
% 0.18/0.54 ; Feature-vector-row-index has 78 nodes (78 at peak, 78 added, 0 deleted).
% 0.18/0.54 ; Retrieved 6 possibly forward subsuming rows in 36 calls.
% 0.18/0.54 ; Retrieved 1 possibly backward subsumed row in 34 calls.
% 0.18/0.54 ; Path-index has 253 entries (253 at peak, 296 added, 43 deleted).
% 0.18/0.54 ; Path-index has 359 nodes (359 at peak, 403 added, 44 deleted).
% 0.18/0.54 ; Trie-index has 253 entries (253 at peak, 296 added, 43 deleted).
% 0.18/0.54 ; Trie-index has 521 nodes (521 at peak, 600 added, 79 deleted).
% 0.18/0.54 ; Retrieved 196 generalization terms in 402 calls.
% 0.18/0.54 ; Retrieved 182 instance terms in 179 calls.
% 0.18/0.54 ; Retrieved 3,662 unifiable terms in 1,840 calls.
% 0.18/0.54 ;
% 0.18/0.54 ; The agenda of rows to process has 1 entry:
% 0.18/0.54 ; 1 with value 11
% 0.18/0.54 ; The agenda of rows to give has 61 entries:
% 0.18/0.54 ; 7 with value (4 8) 24 with value (4 11) 5 with value (4 13)
% 0.18/0.54 ; 6 with value (4 9) 2 with value (4 12) 4 with value (4 14)
% 0.18/0.54 ; 13 with value (4 10)
% 0.18/0.54 Evaluation took:
% 0.18/0.54 0.068 seconds of real time
% 0.18/0.54 0.059885 seconds of user run time
% 0.18/0.54 0.008696 seconds of system run time
% 0.18/0.54 0 calls to %EVAL
% 0.18/0.54 0 page faults and
% 0.18/0.54 4,343,888 bytes consed.
% 0.18/0.54 :PROOF-FOUND
% 0.18/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T19:06:53
% 0.18/0.54 :PROOF-FOUND
% 0.18/0.54 *
%------------------------------------------------------------------------------