TSTP Solution File: SEU140+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU140+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 14:19:26 EDT 2022
% Result : Theorem 0.73s 0.89s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 8 unt; 2 nHn; 11 RR)
% Number of literals : 20 ( 3 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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(41,axiom,
( ~ subset(X,Y)
| set_union2(X,Y) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_xboole_1) ).
cnf(56,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAW9'(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(57,axiom,
( disjoint(X,Y)
| in('SKOLEMAAAW9'(X,Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(58,axiom,
( ~ in(X,Y)
| ~ in(X,Z)
| ~ disjoint(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_0) ).
cnf(69,negated_conjecture,
subset('SKOLEMAAAW11','SKOLEMAAAW12'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_xboole_1) ).
cnf(70,negated_conjecture,
disjoint('SKOLEMAAAW12','SKOLEMAAAW13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_xboole_1) ).
cnf(71,negated_conjecture,
~ disjoint('SKOLEMAAAW11','SKOLEMAAAW13'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_xboole_1) ).
cnf(100,plain,
set_union2('SKOLEMAAAW11','SKOLEMAAAW12') = 'SKOLEMAAAW12',
inference('HYPERRESOLVE',[status(thm)],[41,69]) ).
cnf(105,plain,
in('SKOLEMAAAW9'('SKOLEMAAAW11','SKOLEMAAAW13'),'SKOLEMAAAW11'),
inference('UR-RESOLVE',[status(thm)],[56,71]) ).
cnf(107,plain,
in('SKOLEMAAAW9'('SKOLEMAAAW11','SKOLEMAAAW13'),'SKOLEMAAAW13'),
inference('UR-RESOLVE',[status(thm)],[57,71]) ).
cnf(364,plain,
in('SKOLEMAAAW9'('SKOLEMAAAW11','SKOLEMAAAW13'),'SKOLEMAAAW12'),
inference('HYPERRESOLVE',[status(thm)],[8,105,100]) ).
cnf(424,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[58,107,70]),364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU140+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 20 09:49:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-20T09:49:55
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-20T09:49:55
% 0.20/0.50
% 0.20/0.50 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.20/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.50 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.20/0.50 ; Declaring set_union2 to be commutative.
% 0.20/0.50 ; Declaring set_intersection2 to be commutative.
% 0.73/0.89 ; Declaring disjoint to be commutative.
% 0.73/0.89
% 0.73/0.89 #||
% 0.73/0.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.89 % SZS output start Refutation
% See solution above
% 0.73/0.89 ||#
% 0.73/0.89
% 0.73/0.89 ; Summary of computation:
% 0.73/0.89 ; 3844 formulas have been input or derived (from 103 formulas).
% 0.73/0.89 ; 424 (11%) were retained. Of these,
% 0.73/0.89 ; 21 ( 5%) were simplified or subsumed later,
% 0.73/0.89 ; 403 (95%) are still being kept.
% 0.73/0.89 ;
% 0.73/0.89 ; Run time in seconds excluding printing time:
% 0.73/0.89 ; 0.010 2% Read assertion file (1 call)
% 0.73/0.89 ; 0.004 1% Assert (56 calls)
% 0.73/0.89 ; 0.039 9% Process new row (3,143 calls)
% 0.73/0.89 ; 0.103 25% Resolution (204 calls)
% 0.73/0.89 ; 0.004 1% Paramodulation (102 calls)
% 0.73/0.89 ; 0.000 0% Factoring (13 calls)
% 0.73/0.89 ; 0.036 9% Condensing (1,971 calls)
% 0.73/0.89 ; 0.046 11% Forward subsumption (1,971 calls)
% 0.73/0.89 ; 0.010 2% Backward subsumption (290 calls)
% 0.73/0.89 ; 0.022 5% Clause clause subsumption (4,057 calls)
% 0.73/0.89 ; 0.073 18% Forward simplification (3,142 calls)
% 0.73/0.89 ; 0.005 1% Backward simplification (421 calls)
% 0.73/0.89 ; 0.018 4% Ordering (6,436 calls)
% 0.73/0.89 ; 0.001 0% Sortal reasoning (32 calls)
% 0.73/0.89 ; 0.000 0% Purity testing (1 call)
% 0.73/0.89 ; 0.041 10% Other
% 0.73/0.89 ; 0.412 Total
% 0.73/0.89 ; 0.413 Real time
% 0.73/0.89 ;
% 0.73/0.89 ; Term-hash-array has 748 terms in all.
% 0.73/0.89 ; Feature-vector-row-index has 277 entries (277 at peak, 290 added, 13 deleted).
% 0.73/0.89 ; Feature-vector-row-index has 692 nodes (692 at peak, 733 added, 41 deleted).
% 0.73/0.89 ; Retrieved 8,270 possibly forward subsuming rows in 1,971 calls.
% 0.73/0.89 ; Retrieved 377 possibly backward subsumed rows in 290 calls.
% 0.73/0.89 ; Path-index has 739 entries (739 at peak, 761 added, 22 deleted).
% 0.73/0.89 ; Path-index has 774 nodes (774 at peak, 788 added, 14 deleted).
% 0.73/0.89 ; Trie-index has 739 entries (739 at peak, 761 added, 22 deleted).
% 0.73/0.89 ; Trie-index has 1,500 nodes (1,500 at peak, 1,535 added, 35 deleted).
% 0.73/0.89 ; Retrieved 11,802 generalization terms in 15,207 calls.
% 0.73/0.89 ; Retrieved 183 instance terms in 131 calls.
% 0.73/0.89 ; Retrieved 71,658 unifiable terms in 2,806 calls.
% 0.73/0.89 ;
% 0.73/0.89 ; The agenda of rows to process has 131 entries:
% 0.73/0.89 ; 20 with value 9 6 with value 16 1 with value 20
% 0.73/0.89 ; 17 with value 11 16 with value 17 19 with value 21
% 0.73/0.89 ; 4 with value 12 5 with value 18 5 with value 23
% 0.73/0.89 ; 22 with value 14 8 with value 19 4 with value 25
% 0.73/0.89 ; 4 with value 15
% 0.73/0.89 ; The agenda of rows to give has 301 entries:
% 0.73/0.89 ; 6 with value (4 8) 3 with value (4 24) 3 with value (4 40)
% 0.73/0.89 ; 20 with value (4 9) 4 with value (4 25) 1 with value (4 41)
% 0.73/0.89 ; 21 with value (4 10) 10 with value (4 26) 4 with value (4 42)
% 0.73/0.89 ; 17 with value (4 11) 5 with value (4 27) 2 with value (4 43)
% 0.73/0.89 ; 10 with value (4 12) 8 with value (4 28) 5 with value (4 44)
% 0.73/0.89 ; 16 with value (4 13) 8 with value (4 29) 2 with value (4 45)
% 0.73/0.89 ; 6 with value (4 14) 4 with value (4 30) 6 with value (4 46)
% 0.73/0.89 ; 13 with value (4 15) 4 with value (4 31) 1 with value (4 47)
% 0.73/0.89 ; 12 with value (4 16) 6 with value (4 32) 2 with value (4 48)
% 0.73/0.89 ; 6 with value (4 17) 2 with value (4 33) 2 with value (4 49)
% 0.73/0.89 ; 17 with value (4 18) 10 with value (4 34) 1 with value (4 51)
% 0.73/0.89 ; 15 with value (4 19) 3 with value (4 35) 1 with value (4 54)
% 0.73/0.89 ; 7 with value (4 20) 1 with value (4 36) 2 with value (4 55)
% 0.73/0.89 ; 11 with value (4 21) 6 with value (4 37) 1 with value (4 56)
% 0.73/0.89 ; 3 with value (4 22) 4 with value (4 38) 2 with value (4 57)
% 0.73/0.89 ; 4 with value (4 23) 4 with value (4 39)
% 0.73/0.89 Evaluation took:
% 0.73/0.89 0.414 seconds of real time
% 0.73/0.89 0.37692 seconds of user run time
% 0.73/0.89 0.037233 seconds of system run time
% 0.73/0.89 [Run times include 0.013 seconds GC run time.]
% 0.73/0.89 0 calls to %EVAL
% 0.73/0.89 0 page faults and
% 0.73/0.89 28,437,984 bytes consed.
% 0.73/0.89 :PROOF-FOUND
% 0.73/0.89 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T09:49:55
% 0.73/0.89 :PROOF-FOUND
% 0.73/0.89 *
%------------------------------------------------------------------------------