TSTP Solution File: SET677+3 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET677+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 05:11:29 EDT 2022
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 7 unt; 0 nHn; 13 RR)
% Number of literals : 31 ( 8 equ; 19 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 17 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(Y,X))
| ~ subset(identity_relation_of(Y),Z)
| Y = domain(Y,X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(4,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Z,relation_type(X,Y))
| ~ subset(identity_relation_of(Y),Z)
| Y = range(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2) ).
cnf(9,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ~ ilf_type(Y,identity_relation_of_type(X))
| ilf_type(Y,relation_type(X,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5) ).
cnf(62,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p34) ).
cnf(63,negated_conjecture,
ilf_type('SKOLEMAAAV15',identity_relation_of_type('SKOLEMAAAV14')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_44) ).
cnf(64,negated_conjecture,
subset(identity_relation_of('SKOLEMAAAV14'),'SKOLEMAAAV15'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_44) ).
cnf(65,negated_conjecture,
( 'SKOLEMAAAV14' != domain('SKOLEMAAAV14','SKOLEMAAAV14','SKOLEMAAAV15')
| 'SKOLEMAAAV14' != range('SKOLEMAAAV14','SKOLEMAAAV14','SKOLEMAAAV15') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_44) ).
cnf(67,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ~ subset(identity_relation_of(Y),X)
| Y = domain(Y,Z,X) ),
inference('REWRITE',[status(thm)],[1,62]) ).
cnf(70,plain,
( ~ ilf_type(X,relation_type(Y,Z))
| ~ subset(identity_relation_of(Z),X)
| Z = range(Y,Z,X) ),
inference('REWRITE',[status(thm)],[4,62]) ).
cnf(75,plain,
( ~ ilf_type(X,identity_relation_of_type(Y))
| ilf_type(X,relation_type(Y,Y)) ),
inference('REWRITE',[status(thm)],[9,62]) ).
cnf(120,plain,
ilf_type('SKOLEMAAAV15',relation_type('SKOLEMAAAV14','SKOLEMAAAV14')),
inference('HYPERRESOLVE',[status(thm)],[75,63]) ).
cnf(164,plain,
'SKOLEMAAAV14' = range('SKOLEMAAAV14','SKOLEMAAAV14','SKOLEMAAAV15'),
inference('HYPERRESOLVE',[status(thm)],[70,120,64]) ).
cnf(165,plain,
'SKOLEMAAAV14' != domain('SKOLEMAAAV14','SKOLEMAAAV14','SKOLEMAAAV15'),
inference('REWRITE',[status(thm)],[65,164,theory(equality)]) ).
cnf(167,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[67,120,64]),165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET677+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 01:27:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T01:27:22
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-07-10T01:27:22
% 0.21/0.56
% 0.21/0.56
% 0.21/0.56 #||
% 0.21/0.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.56 % SZS output start Refutation
% See solution above
% 0.21/0.56 ||#
% 0.21/0.56
% 0.21/0.56 ; Summary of computation:
% 0.21/0.56 ; 242 formulas have been input or derived (from 55 formulas).
% 0.21/0.56 ; 167 (69%) were retained. Of these,
% 0.21/0.56 ; 60 (36%) were simplified or subsumed later,
% 0.21/0.56 ; 107 (64%) are still being kept.
% 0.21/0.56 ;
% 0.21/0.56 ; Run time in seconds excluding printing time:
% 0.21/0.56 ; 0.011 14% Read assertion file (1 call)
% 0.21/0.56 ; 0.003 4% Assert (35 calls)
% 0.21/0.56 ; 0.016 21% Process new row (202 calls)
% 0.21/0.56 ; 0.005 7% Resolution (108 calls)
% 0.21/0.56 ; 0.000 0% Paramodulation (54 calls)
% 0.21/0.56 ; 0.000 0% Factoring (5 calls)
% 0.21/0.56 ; 0.001 1% Condensing (141 calls)
% 0.21/0.56 ; 0.006 8% Forward subsumption (141 calls)
% 0.21/0.56 ; 0.002 3% Backward subsumption (134 calls)
% 0.21/0.56 ; 0.000 0% Clause clause subsumption (39 calls)
% 0.21/0.56 ; 0.002 3% Forward simplification (202 calls)
% 0.21/0.56 ; 0.005 7% Backward simplification (167 calls)
% 0.21/0.56 ; 0.001 1% Ordering (94 calls)
% 0.21/0.56 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.56 ; 0.000 0% Purity testing (1 call)
% 0.21/0.56 ; 0.024 32% Other
% 0.21/0.56 ; 0.076 Total
% 0.21/0.56 ; 0.077 Real time
% 0.21/0.56 ;
% 0.21/0.56 ; Term-hash-array has 289 terms in all.
% 0.21/0.56 ; Feature-vector-row-index has 74 entries (75 at peak, 134 added, 60 deleted).
% 0.21/0.56 ; Feature-vector-row-index has 334 nodes (344 at peak, 560 added, 226 deleted).
% 0.21/0.56 ; Retrieved 44 possibly forward subsuming rows in 141 calls.
% 0.21/0.56 ; Retrieved 36 possibly backward subsumed rows in 134 calls.
% 0.21/0.56 ; Path-index has 245 entries (245 at peak, 349 added, 104 deleted).
% 0.21/0.56 ; Path-index has 718 nodes (718 at peak, 835 added, 117 deleted).
% 0.21/0.56 ; Trie-index has 245 entries (245 at peak, 349 added, 104 deleted).
% 0.21/0.56 ; Trie-index has 739 nodes (739 at peak, 974 added, 235 deleted).
% 0.21/0.56 ; Retrieved 103 generalization terms in 347 calls.
% 0.21/0.56 ; Retrieved 61 instance terms in 32 calls.
% 0.21/0.56 ; Retrieved 1,549 unifiable terms in 386 calls.
% 0.21/0.56 ;
% 0.21/0.56 ; The agenda of rows to process has 18 entries:
% 0.21/0.56 ; 4 with value 10 10 with value 11 4 with value 20
% 0.21/0.56 ; The agenda of input rows to give has 1 entry:
% 0.21/0.56 ; 1 with value 8
% 0.21/0.56 ; The agenda of rows to give has 52 entries:
% 0.21/0.56 ; 3 with value (4 9) 2 with value (4 16) 5 with value (4 22)
% 0.21/0.56 ; 7 with value (4 10) 3 with value (4 17) 3 with value (4 23)
% 0.21/0.56 ; 4 with value (4 11) 3 with value (4 18) 2 with value (4 25)
% 0.21/0.56 ; 3 with value (4 12) 2 with value (4 19) 2 with value (4 26)
% 0.21/0.56 ; 2 with value (4 14) 1 with value (4 20) 2 with value (4 27)
% 0.21/0.56 ; 4 with value (4 15) 2 with value (4 21) 2 with value (4 30)
% 0.21/0.56 Evaluation took:
% 0.21/0.56 0.077 seconds of real time
% 0.21/0.56 0.068593 seconds of user run time
% 0.21/0.56 0.009149 seconds of system run time
% 0.21/0.56 0 calls to %EVAL
% 0.21/0.56 0 page faults and
% 0.21/0.56 4,651,120 bytes consed.
% 0.21/0.56 :PROOF-FOUND
% 0.21/0.56 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T01:27:22
% 0.21/0.56 :PROOF-FOUND
% 0.21/0.56 *
%------------------------------------------------------------------------------