TSTP Solution File: SEU371+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU371+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 14:22:03 EDT 2022
% Result : Theorem 111.94s 112.12s
% Output : Refutation 111.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of clauses : 16 ( 13 unt; 2 nHn; 5 RR)
% Number of literals : 25 ( 10 equ; 9 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(130,axiom,
( ~ rel_str(X)
| bottom_of_relstr(X) = join_on_relstr(X,empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d11_yellow_0) ).
cnf(369,axiom,
boole_POSet(X) = poset_of_lattice(boole_lattice(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_yellow_1) ).
cnf(613,axiom,
latt_str(boole_lattice(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice3) ).
cnf(654,axiom,
rel_str(boole_POSet(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
cnf(734,axiom,
~ empty_carrier(boole_lattice(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_knaster) ).
cnf(741,axiom,
lattice(boole_lattice(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_knaster) ).
cnf(748,axiom,
complete_latt_str(boole_lattice(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_knaster) ).
cnf(5905,negated_conjecture,
bottom_of_relstr(boole_POSet('SKOLEMAAAU474')) != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_yellow_1) ).
cnf(5992,axiom,
( empty_carrier(X)
| ~ lattice(X)
| ~ complete_latt_str(X)
| ~ latt_str(X)
| join_of_latt_set(X,Y) = join_on_relstr(poset_of_lattice(X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_yellow_0) ).
cnf(6055,axiom,
bottom_of_semilattstr(boole_lattice(X)) = empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_lattice3) ).
cnf(6136,axiom,
( empty_carrier(X)
| ~ lattice(X)
| ~ complete_latt_str(X)
| ~ latt_str(X)
| bottom_of_semilattstr(X) = join_of_latt_set(X,empty_set) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t50_lattice3) ).
cnf(7063,plain,
bottom_of_relstr(boole_POSet(X)) = join_on_relstr(boole_POSet(X),empty_set),
inference('HYPERRESOLVE',[status(thm)],[130,654]) ).
cnf(33748,plain,
empty_set = join_of_latt_set(boole_lattice(X),empty_set),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[6136,734,741,748,613]),6055,theory(equality)]) ).
cnf(65138,plain,
join_of_latt_set(boole_lattice(X),Y) = join_on_relstr(boole_POSet(X),Y),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5992,734,741,748,613]),369,theory(equality)]) ).
cnf(65139,plain,
bottom_of_relstr(boole_POSet(X)) = empty_set,
inference('REWRITE',[status(thm)],[7063,33748,65138,theory(equality)]) ).
cnf(65140,plain,
$false,
inference('REWRITE',[status(thm)],[5905,65139,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU371+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.08 % Command : run-snark %s %d
% 0.07/0.27 % Computer : n016.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Sun Jun 19 10:28:53 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.38 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 *
% 0.11/0.39 *
% 0.11/0.39 #<PACKAGE "SNARK-USER">
% 0.11/0.39 *
% 0.11/0.39 SNARK-TPTP-OPTIONS
% 0.11/0.39 *
% 0.11/0.40 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.11/0.40 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.11/0.40 (USE-FACTORING :POS)
% 0.11/0.40 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.11/0.40 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.11/0.40 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.11/0.40 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.11/0.40 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.11/0.40 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.11/0.40 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.11/0.40 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.11/0.40 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.11/0.40 (DECLARE-TPTP-SYMBOLS2))
% 0.11/0.40 *
% 0.11/0.40 "."
% 0.11/0.40 *
% 0.11/0.40 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T10:28:53
% 0.11/0.40 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-19T10:28:53
% 0.41/0.58
% 0.41/0.58 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.41/0.58 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.46/0.68 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.46/0.68 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.46/0.69 ; Recognized commutativity assertion (OR (NOT (|equipotent| ?X ?Y)) (|equipotent| ?Y ?X)).
% 0.46/0.69 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.46/0.69 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.46/0.69 ; Declaring unordered_pair to be commutative.
% 0.46/0.69 ; Declaring set_union2 to be commutative.
% 0.46/0.69 ; Declaring set_intersection2 to be commutative.
% 0.46/0.69 ; Declaring disjoint to be commutative.
% 0.53/0.71 WARNING:
% 0.53/0.71 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |modular_lattstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |v1_binop_1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.53/0.71 WARNING:
% 0.53/0.71 |v2_binop_1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 111.94/112.12 ; Declaring equipotent to be commutative.
% 111.94/112.12
% 111.94/112.12 #||
% 111.94/112.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 111.94/112.12 % SZS output start Refutation
% See solution above
% 111.94/112.12 ||#
% 111.94/112.12
% 111.94/112.12 ; Summary of computation:
% 111.94/112.12 ; 217848 formulas have been input or derived (from 1251 formulas).
% 111.94/112.12 ; 65140 (30%) were retained. Of these,
% 111.94/112.12 ; 16017 (25%) were simplified or subsumed later,
% 111.94/112.12 ; 49123 (75%) are still being kept.
% 111.94/112.12 ;
% 111.94/112.12 ; Run time in seconds excluding printing time:
% 111.94/112.12 ; 0.176 0% Read assertion file (1 call)
% 111.94/112.12 ; 0.105 0% Assert (756 calls)
% 111.94/112.12 ; 8.149 7% Process new row (213,398 calls)
% 111.94/112.12 ; 38.448 34% Resolution (2,500 calls)
% 111.94/112.12 ; 0.069 0% Paramodulation (1,250 calls)
% 111.94/112.12 ; 0.001 0% Factoring (54 calls)
% 111.94/112.12 ; 2.172 2% Condensing (149,943 calls)
% 111.94/112.12 ; 24.295 22% Forward subsumption (149,943 calls)
% 111.94/112.12 ; 27.049 24% Backward subsumption (58,031 calls)
% 111.94/112.12 ; 1.804 2% Clause clause subsumption (239,080 calls)
% 111.94/112.12 ; 7.852 7% Forward simplification (213,355 calls)
% 111.94/112.12 ; 0.343 0% Backward simplification (63,097 calls)
% 111.94/112.12 ; 0.453 0% Ordering (219,610 calls)
% 111.94/112.12 ; 0.000 0% Sortal reasoning (32 calls)
% 111.94/112.12 ; 0.026 0% Purity testing (1 call)
% 111.94/112.12 ; 0.788 1% Other
% 111.94/112.12 ; 111.730 Total
% 111.94/112.12 ; 111.727 Real time
% 111.94/112.13 ;
% 111.94/112.16 ; Term-hash-array has 104,634 terms in all.
% 111.94/112.16 ; Feature-vector-row-index has 45,064 entries (45,064 at peak, 58,031 added, 12,967 deleted).
% 111.94/112.16 ; Feature-vector-row-index has 294,500 nodes (294,500 at peak, 401,075 added, 106,575 deleted).
% 111.94/112.16 ; Retrieved 1,062,568 possibly forward subsuming rows in 149,943 calls.
% 111.94/112.16 ; Retrieved 60,845 possibly backward subsumed rows in 58,031 calls.
% 111.94/112.16 ; Path-index has 87,387 entries (87,548 at peak, 112,879 added, 25,492 deleted).
% 111.94/112.16 ; Path-index has 172,238 nodes (172,299 at peak, 195,977 added, 23,739 deleted).
% 111.94/112.16 ; Trie-index has 87,387 entries (87,548 at peak, 112,879 added, 25,492 deleted).
% 111.94/112.16 ; Trie-index has 340,921 nodes (341,426 at peak, 439,077 added, 98,156 deleted).
% 111.94/112.16 ; Retrieved 673,062 generalization terms in 1,824,343 calls.
% 111.94/112.16 ; Retrieved 6,930 instance terms in 5,068 calls.
% 111.94/112.16 ; Retrieved 64,791,874 unifiable terms in 105,261 calls.
% 111.94/112.16 ;
% 111.94/112.16 ; The agenda of backward simplifiable rows to process has 35 entries:
% 111.94/112.16 ; 35 with value 0
% 111.94/112.16 ; The agenda of rows to process has 1 entry:
% 111.94/112.16 ; 1 with value 20
% 111.94/112.16 ; The agenda of input rows to give has 2742 entries:
% 111.94/112.16 ; 20 with value 23 100 with value 49 27 with value 75
% 111.94/112.16 ; 54 with value 24 28 with value 50 5 with value 76
% 111.94/112.16 ; 53 with value 25 56 with value 51 30 with value 77
% 111.94/112.16 ; 62 with value 26 65 with value 52 22 with value 78
% 111.94/112.16 ; 40 with value 27 74 with value 53 8 with value 79
% 111.94/112.16 ; 55 with value 28 31 with value 54 17 with value 80
% 111.94/112.16 ; 41 with value 29 75 with value 55 15 with value 81
% 111.94/112.16 ; 37 with value 30 42 with value 56 9 with value 82
% 111.94/112.16 ; 40 with value 31 46 with value 57 3 with value 83
% 111.94/112.16 ; 54 with value 32 60 with value 58 30 with value 84
% 111.94/112.16 ; 35 with value 33 84 with value 59 10 with value 85
% 111.94/112.16 ; 61 with value 34 22 with value 60 4 with value 86
% 111.94/112.16 ; 50 with value 35 54 with value 61 14 with value 87
% 111.94/112.16 ; 68 with value 36 30 with value 62 8 with value 88
% 111.94/112.16 ; 59 with value 37 43 with value 63 8 with value 90
% 111.94/112.16 ; 54 with value 38 23 with value 64 2 with value 91
% 111.94/112.16 ; 85 with value 39 54 with value 65 4 with value 92
% 111.94/112.16 ; 51 with value 40 6 with value 66 15 with value 94
% 111.94/112.16 ; 68 with value 41 25 with value 67 9 with value 96
% 111.94/112.16 ; 89 with value 42 19 with value 68 3 with value 100
% 111.94/112.16 ; 74 with value 43 22 with value 69 3 with value 104
% 111.94/112.16 ; 47 with value 44 23 with value 70 9 with value 106
% 111.94/112.16 ; 61 with value 45 36 with value 71 1 with value 110
% 111.94/112.16 ; 45 with value 46 17 with value 72 1 with value 114
% 111.94/112.16 ; 60 with value 47 7 with value 73 3 with value 116
% 111.94/112.16 ; 57 with value 48 20 with value 74
% 111.94/112.16 ; The agenda of rows to give has 45185 entries:
% 111.94/112.16 ; 42 with value (4 4) 1216 with value (4 30) 242 with value (4 56)
% 111.94/112.16 ; 39 with value (4 5) 1370 with value (4 31) 225 with value (4 57)
% 111.94/112.16 ; 261 with value (4 6) 1133 with value (4 32) 296 with value (4 58)
% 111.94/112.16 ; 364 with value (4 7) 1420 with value (4 33) 190 with value (4 59)
% 111.94/112.16 ; 204 with value (4 8) 1357 with value (4 34) 222 with value (4 60)
% 111.94/112.16 ; 580 with value (4 9) 1288 with value (4 35) 98 with value (4 61)
% 111.94/112.16 ; 590 with value (4 10) 1353 with value (4 36) 83 with value (4 62)
% 111.94/112.16 ; 422 with value (4 11) 1097 with value (4 37) 130 with value (4 63)
% 111.94/112.16 ; 438 with value (4 12) 1163 with value (4 38) 124 with value (4 64)
% 111.94/112.16 ; 390 with value (4 13) 830 with value (4 39) 97 with value (4 65)
% 111.94/112.16 ; 414 with value (4 14) 1192 with value (4 40) 62 with value (4 66)
% 111.94/112.16 ; 523 with value (4 15) 1197 with value (4 41) 36 with value (4 67)
% 111.94/112.16 ; 606 with value (4 16) 881 with value (4 42) 39 with value (4 68)
% 111.94/112.16 ; 705 with value (4 17) 749 with value (4 43) 35 with value (4 69)
% 111.94/112.16 ; 1024 with value (4 18) 639 with value (4 44) 2 with value (4 70)
% 111.94/112.16 ; 1166 with value (4 19) 669 with value (4 45) 13 with value (4 71)
% 111.94/112.16 ; 967 with value (4 20) 625 with value (4 46) 18 with value (4 72)
% 111.94/112.16 ; 1126 with value (4 21) 670 with value (4 47) 14 with value (4 73)
% 111.94/112.16 ; 1405 with value (4 22) 434 with value (4 48) 2 with value (4 76)
% 111.94/112.16 ; 1441 with value (4 23) 573 with value (4 49) 10 with value (4 79)
% 111.94/112.16 ; 1451 with value (4 24) 457 with value (4 50) 10 with value (4 80)
% 111.94/112.16 ; 1666 with value (4 25) 359 with value (4 51) 4 with value (4 81)
% 111.94/112.16 ; 1329 with value (4 26) 440 with value (4 52) 18 with value (4 84)
% 111.94/112.16 ; 1470 with value (4 27) 310 with value (4 53) 8 with value (4 86)
% 111.94/112.16 ; 1287 with value (4 28) 320 with value (4 54) 4 with value (4 89)
% 111.94/112.16 ; 1296 with value (4 29) 251 with value (4 55) 4 with value (4 92)
% 111.94/112.16 Evaluation took:
% 111.94/112.16 111.76 seconds of real time
% 111.94/112.16 107.61768 seconds of user run time
% 111.94/112.16 4.146242 seconds of system run time
% 111.94/112.16 [Run times include 25.413 seconds GC run time.]
% 111.94/112.16 0 calls to %EVAL
% 111.94/112.16 0 page faults and
% 111.94/112.16 7,388,691,096 bytes consed.
% 111.94/112.16 :PROOF-FOUND
% 111.94/112.16 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T10:30:45
% 111.94/112.16 :PROOF-FOUND
% 111.94/112.16 *
%------------------------------------------------------------------------------