TSTP Solution File: SEU174+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU174+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 14:19:50 EDT 2022
% Result : Theorem 13.93s 14.17s
% Output : Refutation 13.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 12 unt; 1 nHn; 11 RR)
% Number of literals : 23 ( 8 equ; 8 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 14 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(65,axiom,
( ~ element(X,powerset(powerset(Y)))
| ~ element(Z,powerset(powerset(Y)))
| Z = complements_of_subsets(Y,X)
| in('SKOLEMAAAV17'(Y,Z,X),Z)
| in(subset_complement(Y,'SKOLEMAAAV17'(Y,Z,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_setfam_1) ).
cnf(73,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
cnf(79,axiom,
( ~ element(X,powerset(powerset(Y)))
| complements_of_subsets(Y,complements_of_subsets(Y,X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
cnf(102,axiom,
element('SKOLEMAAAV22'(X),powerset(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
cnf(103,axiom,
empty('SKOLEMAAAV22'(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_subset_1) ).
cnf(144,negated_conjecture,
element('SKOLEMAAAV28',powerset(powerset('SKOLEMAAAV27'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_setfam_1) ).
cnf(145,negated_conjecture,
'SKOLEMAAAV28' != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_setfam_1) ).
cnf(146,negated_conjecture,
complements_of_subsets('SKOLEMAAAV27','SKOLEMAAAV28') = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_setfam_1) ).
cnf(162,axiom,
( ~ empty(X)
| X = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
cnf(164,axiom,
( ~ in(X,Y)
| ~ empty(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
cnf(192,plain,
'SKOLEMAAAV22'(X) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[162,103]) ).
cnf(193,plain,
element(empty_set,powerset(X)),
inference('REWRITE',[status(thm)],[102,192,theory(equality)]) ).
cnf(194,plain,
~ in(X,empty_set),
inference('UR-RESOLVE',[status(thm)],[164,73]) ).
cnf(961,plain,
complements_of_subsets('SKOLEMAAAV27',empty_set) = 'SKOLEMAAAV28',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[79,144]),146,theory(equality)]) ).
cnf(5498,plain,
empty_set = complements_of_subsets(X,empty_set),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[65,193,193]),194]) ).
cnf(5499,plain,
$false,
inference('REWRITE',[status(thm)],[961,145,5498,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU174+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 00:51:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T00:51:48
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-20T00:51:48
% 0.18/0.49
% 0.18/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.49 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.18/0.49 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.50 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.18/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.18/0.50 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.18/0.50 ; Declaring unordered_pair to be commutative.
% 0.18/0.50 ; Declaring set_union2 to be commutative.
% 0.18/0.50 ; Declaring set_intersection2 to be commutative.
% 0.18/0.50 WARNING:
% 0.18/0.50 |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 13.93/14.17 ; Declaring disjoint to be commutative.
% 13.93/14.17
% 13.93/14.17 #||
% 13.93/14.17 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.93/14.17 % SZS output start Refutation
% See solution above
% 13.93/14.17 ||#
% 13.93/14.17
% 13.93/14.17 ; Summary of computation:
% 13.93/14.17 ; 48731 formulas have been input or derived (from 175 formulas).
% 13.93/14.17 ; 5499 (11%) were retained. Of these,
% 13.93/14.17 ; 34 ( 1%) were simplified or subsumed later,
% 13.93/14.17 ; 5465 (99%) are still being kept.
% 13.93/14.17 ;
% 13.93/14.17 ; Run time in seconds:
% 13.93/14.17 ; 0.023 0% Read assertion file (1 call)
% 13.93/14.17 ; 0.008 0% Assert (122 calls)
% 13.93/14.17 ; 0.782 6% Process new row (47,672 calls)
% 13.93/14.17 ; 5.815 42% Resolution (348 calls)
% 13.93/14.17 ; 0.006 0% Paramodulation (174 calls)
% 13.93/14.17 ; 0.001 0% Factoring (26 calls)
% 13.93/14.17 ; 0.796 6% Condensing (44,776 calls)
% 13.93/14.17 ; 2.974 22% Forward subsumption (44,776 calls)
% 13.93/14.17 ; 0.257 2% Backward subsumption (5,224 calls)
% 13.93/14.17 ; 0.809 6% Clause clause subsumption (144,442 calls)
% 13.93/14.17 ; 1.867 14% Forward simplification (47,669 calls)
% 13.93/14.17 ; 0.007 0% Backward simplification (5,496 calls)
% 13.93/14.17 ; 0.184 1% Ordering (94,782 calls)
% 13.93/14.17 ; 0.001 0% Sortal reasoning (32 calls)
% 13.93/14.17 ; 0.001 0% Purity testing (1 call)
% 13.93/14.17 ; 0.181 1% Other
% 13.93/14.17 ; 13.712 Total
% 13.93/14.17 ; 13.711 Real time
% 13.93/14.17 ;
% 13.93/14.17 ; Term-hash-array has 12,834 terms in all.
% 13.93/14.17 ; Feature-vector-row-index has 5,208 entries (5,211 at peak, 5,224 added, 16 deleted).
% 13.93/14.17 ; Feature-vector-row-index has 18,563 nodes (18,585 at peak, 18,613 added, 50 deleted).
% 13.93/14.17 ; Retrieved 653,126 possibly forward subsuming rows in 44,776 calls.
% 13.93/14.17 ; Retrieved 14,894 possibly backward subsumed rows in 5,224 calls.
% 13.93/14.17 ; Path-index has 12,801 entries (12,814 at peak, 12,845 added, 44 deleted).
% 13.93/14.17 ; Path-index has 20,551 nodes (20,556 at peak, 20,587 added, 36 deleted).
% 13.93/14.17 ; Trie-index has 12,801 entries (12,814 at peak, 12,845 added, 44 deleted).
% 13.93/14.17 ; Trie-index has 36,614 nodes (36,638 at peak, 36,727 added, 113 deleted).
% 13.93/14.17 ; Retrieved 213,153 generalization terms in 414,207 calls.
% 13.93/14.17 ; Retrieved 389 instance terms in 272 calls.
% 13.93/14.17 ; Retrieved 10,240,039 unifiable terms in 14,569 calls.
% 13.93/14.17 ;
% 13.93/14.17 ; The agenda of backward simplifiable rows to process has 5 entries:
% 13.93/14.17 ; 5 with value 0
% 13.93/14.17 ; The agenda of rows to process has 12 entries:
% 13.93/14.17 ; 2 with value 45 2 with value 48 2 with value 60
% 13.93/14.17 ; 2 with value 46 1 with value 54 1 with value 61
% 13.93/14.17 ; 2 with value 47
% 13.93/14.17 ; The agenda of rows to give has 5293 entries:
% 13.93/14.17 ; 1 with value (4 4) 106 with value (4 32) 44 with value (4 60)
% 13.93/14.17 ; 8 with value (4 5) 143 with value (4 33) 46 with value (4 61)
% 13.93/14.17 ; 5 with value (4 6) 155 with value (4 34) 37 with value (4 62)
% 13.93/14.17 ; 24 with value (4 7) 141 with value (4 35) 54 with value (4 63)
% 13.93/14.17 ; 32 with value (4 8) 110 with value (4 36) 41 with value (4 64)
% 13.93/14.17 ; 26 with value (4 9) 146 with value (4 37) 20 with value (4 65)
% 13.93/14.17 ; 32 with value (4 10) 138 with value (4 38) 39 with value (4 66)
% 13.93/14.17 ; 31 with value (4 11) 138 with value (4 39) 27 with value (4 67)
% 13.93/14.17 ; 32 with value (4 12) 111 with value (4 40) 22 with value (4 68)
% 13.93/14.17 ; 51 with value (4 13) 107 with value (4 41) 22 with value (4 69)
% 13.93/14.17 ; 36 with value (4 14) 148 with value (4 42) 17 with value (4 70)
% 13.93/14.17 ; 46 with value (4 15) 164 with value (4 43) 23 with value (4 71)
% 13.93/14.17 ; 52 with value (4 16) 118 with value (4 44) 24 with value (4 72)
% 13.93/14.17 ; 49 with value (4 17) 144 with value (4 45) 17 with value (4 73)
% 13.93/14.17 ; 54 with value (4 18) 98 with value (4 46) 20 with value (4 74)
% 13.93/14.17 ; 62 with value (4 19) 124 with value (4 47) 6 with value (4 75)
% 13.93/14.17 ; 81 with value (4 20) 105 with value (4 48) 8 with value (4 76)
% 13.93/14.17 ; 73 with value (4 21) 91 with value (4 49) 11 with value (4 77)
% 13.93/14.17 ; 73 with value (4 22) 127 with value (4 50) 7 with value (4 78)
% 13.93/14.17 ; 64 with value (4 23) 67 with value (4 51) 4 with value (4 79)
% 13.93/14.17 ; 54 with value (4 24) 86 with value (4 52) 1 with value (4 80)
% 13.93/14.17 ; 105 with value (4 25) 86 with value (4 53) 1 with value (4 81)
% 13.93/14.17 ; 87 with value (4 26) 84 with value (4 54) 4 with value (4 83)
% 13.93/14.17 ; 67 with value (4 27) 107 with value (4 55) 10 with value (4 84)
% 13.93/14.17 ; 115 with value (4 28) 69 with value (4 56) 6 with value (4 85)
% 13.93/14.17 ; 113 with value (4 29) 66 with value (4 57) 2 with value (4 86)
% 13.93/14.17 ; 147 with value (4 30) 101 with value (4 58) 3 with value (4 87)
% 13.93/14.17 ; 123 with value (4 31) 54 with value (4 59)
% 13.93/14.17 Evaluation took:
% 13.93/14.17 13.714 seconds of real time
% 13.93/14.17 13.039322 seconds of user run time
% 13.93/14.17 0.675255 seconds of system run time
% 13.93/14.17 [Run times include 1.029 seconds GC run time.]
% 13.93/14.17 0 calls to %EVAL
% 13.93/14.17 0 page faults and
% 13.93/14.17 900,683,128 bytes consed.
% 13.93/14.17 :PROOF-FOUND
% 13.93/14.17 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T00:52:02
% 13.93/14.17 :PROOF-FOUND
% 13.93/14.17 *
%------------------------------------------------------------------------------