TSTP Solution File: SET676+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 05:11:28 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 13 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ilf_type(X,set_type)
| ~ ilf_type(Y,set_type)
| ilf_type(cross_product(X,Y),relation_type(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p1) ).
cnf(10,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',p4) ).
cnf(39,axiom,
ilf_type(X,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p19) ).
cnf(40,negated_conjecture,
~ ilf_type(cross_product('SKOLEMAAAV12','SKOLEMAAAV12'),identity_relation_of_type('SKOLEMAAAV12')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_relset_1_41) ).
cnf(41,plain,
ilf_type(cross_product(X,Y),relation_type(X,Y)),
inference('REWRITE',[status(thm)],[1,39]) ).
cnf(47,plain,
( ilf_type(X,identity_relation_of_type(Y))
| ~ ilf_type(X,relation_type(Y,Y)) ),
inference('REWRITE',[status(thm)],[10,39]) ).
cnf(73,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[47,40,41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 12:30:12 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:30:12
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T12:30:12
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 91 formulas have been input or derived (from 17 formulas).
% 0.20/0.52 ; 73 (80%) were retained. Of these,
% 0.20/0.52 ; 38 (52%) were simplified or subsumed later,
% 0.20/0.52 ; 35 (48%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.007 15% Read assertion file (1 call)
% 0.20/0.52 ; 0.002 4% Assert (20 calls)
% 0.20/0.52 ; 0.006 13% Process new row (84 calls)
% 0.20/0.52 ; 0.000 0% Resolution (32 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (16 calls)
% 0.20/0.52 ; 0.000 0% Factoring (3 calls)
% 0.20/0.52 ; 0.002 4% Condensing (61 calls)
% 0.20/0.52 ; 0.001 2% Forward subsumption (61 calls)
% 0.20/0.52 ; 0.001 2% Backward subsumption (61 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (1 call)
% 0.20/0.52 ; 0.001 2% Forward simplification (84 calls)
% 0.20/0.52 ; 0.003 7% Backward simplification (73 calls)
% 0.20/0.52 ; 0.000 0% Ordering (8 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.023 50% Other
% 0.20/0.52 ; 0.046 Total
% 0.20/0.52 ; 0.047 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 114 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 23 entries (38 at peak, 61 added, 38 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 78 nodes (172 at peak, 249 added, 171 deleted).
% 0.20/0.52 ; Retrieved 0 possibly forward subsuming rows in 61 calls.
% 0.20/0.52 ; Retrieved 1 possibly backward subsumed row in 61 calls.
% 0.20/0.52 ; Path-index has 76 entries (79 at peak, 153 added, 77 deleted).
% 0.20/0.52 ; Path-index has 240 nodes (240 at peak, 338 added, 98 deleted).
% 0.20/0.52 ; Trie-index has 76 entries (79 at peak, 153 added, 77 deleted).
% 0.20/0.52 ; Trie-index has 192 nodes (195 at peak, 382 added, 190 deleted).
% 0.20/0.52 ; Retrieved 49 generalization terms in 79 calls.
% 0.20/0.52 ; Retrieved 25 instance terms in 11 calls.
% 0.20/0.52 ; Retrieved 122 unifiable terms in 78 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 5 entries:
% 0.20/0.52 ; 4 with value 9 1 with value 10
% 0.20/0.52 ; The agenda of input rows to give has 14 entries:
% 0.20/0.52 ; 4 with value 13 2 with value 16 1 with value 21
% 0.20/0.52 ; 3 with value 14 1 with value 17 1 with value 22
% 0.20/0.52 ; 2 with value 15
% 0.20/0.52 ; The agenda of rows to give has 4 entries:
% 0.20/0.52 ; 2 with value (4 9) 1 with value (4 10) 1 with value (4 11)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.048 seconds of real time
% 0.20/0.52 0.038576 seconds of user run time
% 0.20/0.52 0.009073 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,616,544 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T12:30:12
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------