TSTP Solution File: SEU382+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU382+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 14:22:09 EDT 2022
% Result : Theorem 2.60s 2.78s
% Output : Refutation 2.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 7 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1465,axiom,
k1_pcomps_1(X) = powerset(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
cnf(6228,axiom,
the_carrier(incl_POSet(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_yellow_1) ).
cnf(6431,negated_conjecture,
the_carrier(boole_POSet('SKOLEMAAAW532')) != powerset('SKOLEMAAAW532'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_waybel_7) ).
cnf(6432,plain,
the_carrier(boole_POSet('SKOLEMAAAW532')) != k1_pcomps_1('SKOLEMAAAW532'),
inference('REWRITE',[status(thm)],[6431,1465,theory(equality)]) ).
cnf(6439,axiom,
boole_POSet(X) = incl_POSet(powerset(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_yellow_1) ).
cnf(6440,plain,
boole_POSet(X) = incl_POSet(k1_pcomps_1(X)),
inference('REWRITE',[status(thm)],[6439,1465,theory(equality)]) ).
cnf(7228,plain,
the_carrier(boole_POSet(X)) = k1_pcomps_1(X),
inference('PARAMODULATE',[status(thm)],[6228,6440,theory(equality)]) ).
cnf(7236,plain,
$false,
inference('REWRITE',[status(thm)],[6432,7228,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU382+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 20 08:30:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T08:30:44
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-20T08:30:44
% 0.52/0.71
% 0.52/0.71 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.52/0.71 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.60/0.82 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.60/0.82 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.67/0.82 ; Recognized commutativity assertion (OR (NOT (|equipotent| ?X ?Y)) (|equipotent| ?Y ?X)).
% 0.67/0.83 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.67/0.83 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.67/0.83 ; Declaring unordered_pair to be commutative.
% 0.67/0.83 ; Declaring set_union2 to be commutative.
% 0.67/0.83 ; Declaring set_intersection2 to be commutative.
% 0.67/0.83 ; Declaring disjoint to be commutative.
% 0.67/0.86 WARNING:
% 0.67/0.86 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |filtered_subset| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |v1_waybel_2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |v2_waybel_2| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |modular_lattstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |v1_binop_1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.67/0.86 WARNING:
% 0.67/0.86 |v2_binop_1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 2.60/2.78 ; Declaring equipotent to be commutative.
% 2.60/2.78
% 2.60/2.78 #||
% 2.60/2.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.60/2.78 % SZS output start Refutation
% See solution above
% 2.60/2.78 ||#
% 2.60/2.78
% 2.60/2.78 ; Summary of computation:
% 2.60/2.78 ; 8574 formulas have been input or derived (from 591 formulas).
% 2.60/2.78 ; 7236 (84%) were retained. Of these,
% 2.60/2.78 ; 2599 (36%) were simplified or subsumed later,
% 2.60/2.78 ; 4637 (64%) are still being kept.
% 2.60/2.78 ;
% 2.60/2.78 ; Run time in seconds:
% 2.60/2.78 ; 0.209 9% Read assertion file (1 call)
% 2.60/2.78 ; 0.121 5% Assert (843 calls)
% 2.60/2.78 ; 0.407 18% Process new row (6,463 calls)
% 2.60/2.78 ; 0.083 4% Resolution (1,180 calls)
% 2.60/2.78 ; 0.005 0% Paramodulation (590 calls)
% 2.60/2.78 ; 0.000 0% Factoring (7 calls)
% 2.60/2.78 ; 0.075 3% Condensing (4,398 calls)
% 2.60/2.78 ; 0.288 13% Forward subsumption (4,398 calls)
% 2.60/2.78 ; 0.530 23% Backward subsumption (4,247 calls)
% 2.60/2.78 ; 0.234 10% Clause clause subsumption (10,629 calls)
% 2.60/2.78 ; 0.195 9% Forward simplification (6,428 calls)
% 2.60/2.78 ; 0.054 2% Backward simplification (5,184 calls)
% 2.60/2.78 ; 0.006 0% Ordering (650 calls)
% 2.60/2.78 ; 0.000 0% Sortal reasoning (32 calls)
% 2.60/2.78 ; 0.033 1% Purity testing (1 call)
% 2.60/2.78 ; 0.047 2% Other
% 2.60/2.78 ; 2.287 Total
% 2.60/2.78 ; 2.288 Real time
% 2.60/2.78 ;
% 2.60/2.78 ; Term-hash-array has 4,586 terms in all.
% 2.60/2.78 ; Feature-vector-row-index has 3,831 entries (4,012 at peak, 4,247 added, 416 deleted).
% 2.60/2.78 ; Feature-vector-row-index has 30,390 nodes (32,985 at peak, 34,168 added, 3,778 deleted).
% 2.60/2.78 ; Retrieved 9,548 possibly forward subsuming rows in 4,398 calls.
% 2.60/2.78 ; Retrieved 10,469 possibly backward subsumed rows in 4,247 calls.
% 2.60/2.78 ; Path-index has 4,420 entries (4,429 at peak, 4,848 added, 428 deleted).
% 2.60/2.78 ; Path-index has 13,839 nodes (13,847 at peak, 14,440 added, 601 deleted).
% 2.60/2.78 ; Trie-index has 4,420 entries (4,429 at peak, 4,848 added, 428 deleted).
% 2.60/2.78 ; Trie-index has 11,685 nodes (11,697 at peak, 12,893 added, 1,208 deleted).
% 2.60/2.78 ; Retrieved 9,422 generalization terms in 27,349 calls.
% 2.60/2.78 ; Retrieved 1,173 instance terms in 936 calls.
% 2.60/2.78 ; Retrieved 53,556 unifiable terms in 3,644 calls.
% 2.60/2.78 ;
% 2.60/2.78 ; The agenda of rows to process has 2 entries:
% 2.60/2.78 ; 2 with value 11
% 2.60/2.78 ; The agenda of input rows to give has 3692 entries:
% 2.60/2.78 ; 3 with value 9 55 with value 40 36 with value 71
% 2.60/2.78 ; 41 with value 10 71 with value 41 17 with value 72
% 2.60/2.78 ; 47 with value 11 92 with value 42 7 with value 73
% 2.60/2.78 ; 127 with value 12 74 with value 43 21 with value 74
% 2.60/2.78 ; 54 with value 13 48 with value 44 27 with value 75
% 2.60/2.78 ; 89 with value 14 62 with value 45 5 with value 76
% 2.60/2.78 ; 49 with value 15 46 with value 46 30 with value 77
% 2.60/2.78 ; 71 with value 16 61 with value 47 22 with value 78
% 2.60/2.78 ; 52 with value 17 58 with value 48 8 with value 79
% 2.60/2.78 ; 61 with value 18 100 with value 49 17 with value 80
% 2.60/2.78 ; 45 with value 19 28 with value 50 15 with value 81
% 2.60/2.78 ; 44 with value 20 56 with value 51 9 with value 82
% 2.60/2.78 ; 66 with value 21 65 with value 52 4 with value 83
% 2.60/2.78 ; 62 with value 22 75 with value 53 30 with value 84
% 2.60/2.78 ; 73 with value 23 33 with value 54 10 with value 85
% 2.60/2.78 ; 54 with value 24 75 with value 55 4 with value 86
% 2.60/2.78 ; 57 with value 25 44 with value 56 14 with value 87
% 2.60/2.78 ; 64 with value 26 48 with value 57 8 with value 88
% 2.60/2.78 ; 63 with value 27 61 with value 58 10 with value 90
% 2.60/2.78 ; 56 with value 28 85 with value 59 2 with value 91
% 2.60/2.78 ; 43 with value 29 22 with value 60 4 with value 92
% 2.60/2.78 ; 42 with value 30 54 with value 61 15 with value 94
% 2.60/2.78 ; 42 with value 31 30 with value 62 9 with value 96
% 2.60/2.78 ; 55 with value 32 43 with value 63 1 with value 99
% 2.60/2.78 ; 39 with value 33 23 with value 64 3 with value 100
% 2.60/2.78 ; 63 with value 34 55 with value 65 3 with value 104
% 2.60/2.78 ; 50 with value 35 6 with value 66 9 with value 106
% 2.60/2.78 ; 70 with value 36 25 with value 67 1 with value 110
% 2.60/2.78 ; 63 with value 37 19 with value 68 1 with value 114
% 2.60/2.78 ; 56 with value 38 22 with value 69 3 with value 116
% 2.60/2.78 ; 87 with value 39 23 with value 70
% 2.60/2.78 ; The agenda of rows to give has 382 entries:
% 2.60/2.78 ; 38 with value (4 4) 39 with value (4 8) 4 with value (4 11)
% 2.60/2.78 ; 15 with value (4 5) 42 with value (4 9) 3 with value (4 12)
% 2.60/2.78 ; 129 with value (4 6) 19 with value (4 10) 5 with value (4 13)
% 2.60/2.78 ; 88 with value (4 7)
% 2.60/2.78 Evaluation took:
% 2.60/2.78 2.292 seconds of real time
% 2.60/2.78 2.16199 seconds of user run time
% 2.60/2.78 0.129759 seconds of system run time
% 2.60/2.78 [Run times include 0.224 seconds GC run time.]
% 2.60/2.78 0 calls to %EVAL
% 2.60/2.78 0 page faults and
% 2.60/2.78 243,087,376 bytes consed.
% 2.60/2.78 :PROOF-FOUND
% 2.60/2.78 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T08:30:47
% 2.60/2.78 :PROOF-FOUND
% 2.60/2.78 *
%------------------------------------------------------------------------------