TSTP Solution File: SET906+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET906+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 05:13:16 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 15 ( 3 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( X != unordered_pair(Y,Z)
| in(U,X)
| U != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tarski) ).
cnf(8,axiom,
( X != set_union2(Y,Z)
| in(U,X)
| ~ in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(12,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(20,negated_conjecture,
subset(set_union2(unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7'),'SKOLEMAAAV8'),'SKOLEMAAAV8'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_zfmisc_1) ).
cnf(21,negated_conjecture,
~ in('SKOLEMAAAV6','SKOLEMAAAV8'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t47_zfmisc_1) ).
cnf(23,plain,
~ in('SKOLEMAAAV6',set_union2(unordered_pair('SKOLEMAAAV6','SKOLEMAAAV7'),'SKOLEMAAAV8')),
inference('UR-RESOLVE',[status(thm)],[12,20,21]) ).
cnf(24,plain,
in(X,unordered_pair(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(59,plain,
in(X,set_union2(unordered_pair(X,Y),Z)),
inference('HYPERRESOLVE',[status(thm)],[8,24,theory(equality)]) ).
cnf(60,plain,
$false,
inference('REWRITE',[status(thm)],[23,59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET906+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n013.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 : Sun Jul 10 22:39:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-10T22:39:30
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-10T22:39:30
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.48 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.48 ; Declaring unordered_pair to be commutative.
% 0.20/0.53 ; Declaring set_union2 to be commutative.
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 169 formulas have been input or derived (from 25 formulas).
% 0.20/0.53 ; 60 (36%) were retained. Of these,
% 0.20/0.53 ; 1 ( 2%) were simplified or subsumed later,
% 0.20/0.53 ; 59 (98%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.003 5% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 2% Assert (13 calls)
% 0.20/0.53 ; 0.010 15% Process new row (138 calls)
% 0.20/0.53 ; 0.006 9% Resolution (48 calls)
% 0.20/0.53 ; 0.000 0% Paramodulation (24 calls)
% 0.20/0.53 ; 0.000 0% Factoring (4 calls)
% 0.20/0.53 ; 0.004 6% Condensing (89 calls)
% 0.20/0.53 ; 0.005 8% Forward subsumption (89 calls)
% 0.20/0.53 ; 0.001 2% Backward subsumption (45 calls)
% 0.20/0.53 ; 0.004 6% Clause clause subsumption (203 calls)
% 0.20/0.53 ; 0.004 6% Forward simplification (138 calls)
% 0.20/0.53 ; 0.001 2% Backward simplification (60 calls)
% 0.20/0.53 ; 0.002 3% Ordering (504 calls)
% 0.20/0.53 ; 0.001 2% Sortal reasoning (32 calls)
% 0.20/0.54 ; 0.000 0% Purity testing (1 call)
% 0.20/0.54 ; 0.023 35% Other
% 0.20/0.54 ; 0.065 Total
% 0.20/0.54 ; 0.067 Real time
% 0.20/0.54 ;
% 0.20/0.54 ; Term-hash-array has 173 terms in all.
% 0.20/0.54 ; Feature-vector-row-index has 45 entries (45 at peak, 45 added, 0 deleted).
% 0.20/0.54 ; Feature-vector-row-index has 186 nodes (186 at peak, 186 added, 0 deleted).
% 0.20/0.54 ; Retrieved 255 possibly forward subsuming rows in 89 calls.
% 0.20/0.54 ; Retrieved 32 possibly backward subsumed rows in 45 calls.
% 0.20/0.54 ; Path-index has 177 entries (178 at peak, 178 added, 1 deleted).
% 0.20/0.54 ; Path-index has 211 nodes (214 at peak, 214 added, 3 deleted).
% 0.20/0.54 ; Trie-index has 177 entries (178 at peak, 178 added, 1 deleted).
% 0.20/0.54 ; Trie-index has 338 nodes (343 at peak, 343 added, 5 deleted).
% 0.20/0.54 ; Retrieved 179 generalization terms in 468 calls.
% 0.20/0.54 ; Retrieved 18 instance terms in 14 calls.
% 0.20/0.54 ; Retrieved 1,914 unifiable terms in 218 calls.
% 0.20/0.54 ;
% 0.20/0.54 ; The agenda of rows to process has 4 entries:
% 0.20/0.54 ; 2 with value 12 1 with value 18 1 with value 19
% 0.20/0.54 ; The agenda of rows to give has 34 entries:
% 0.20/0.54 ; 1 with value (4 8) 1 with value (4 21) 1 with value (4 41)
% 0.20/0.54 ; 2 with value (4 9) 1 with value (4 26) 2 with value (4 43)
% 0.20/0.54 ; 1 with value (4 11) 1 with value (4 31) 4 with value (4 54)
% 0.20/0.54 ; 1 with value (4 12) 4 with value (4 34) 6 with value (4 55)
% 0.20/0.54 ; 1 with value (4 13) 4 with value (4 39) 2 with value (4 56)
% 0.20/0.54 ; 2 with value (4 16)
% 0.20/0.54 Evaluation took:
% 0.20/0.54 0.068 seconds of real time
% 0.20/0.54 0.057638 seconds of user run time
% 0.20/0.54 0.009195 seconds of system run time
% 0.20/0.54 0 calls to %EVAL
% 0.20/0.54 0 page faults and
% 0.20/0.54 3,746,736 bytes consed.
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T22:39:30
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 *
%------------------------------------------------------------------------------