TSTP Solution File: LCL410-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : LCL410-1 : TPTP v6.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n102.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:27:32 EDT 2014
% Result : Timeout 300.09s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : LCL410-1 : TPTP v6.0.0. Released v2.5.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n102.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun 6 10:47:43 CDT 2014
% % CPUTime : 300.09
% Processing problem /tmp/CiME_23041_n102.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " xor : infix commutative; and,or,and_star : AC; falsehood,truth : constant; implies : 2; not : 1;not_truth_xor_falsehood_and_star_or_implies_and__1, not_truth_xor_falsehood_and_star_or_implies_and__2 : 0;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% not(X) = X xor truth;
% X xor falsehood = X;
% X xor X = falsehood;
% X and_star truth = X;
% X and_star falsehood = falsehood;
% (truth xor X) and_star X = falsehood;
% X xor (truth xor Y) = (X xor truth) xor Y;
% (((truth xor X) and_star Y) xor truth) and_star Y = (((truth xor Y) and_star X) xor truth) and_star X;
% X or Y = implies(not(X),Y);
% X and Y = not(not(X) or not(Y));
% X xor Y = (X and not(Y)) or (not(X) and Y);
% X and_star Y = not(not(X) or not(Y));
% not(truth) = falsehood;
% ";
%
% let s1 = status F "
% implies lr_lex;
% falsehood lr_lex;
% truth lr_lex;
% not lr_lex;
% and mul;
% or mul;
% and_star mul;
% xor mul;
% ";
%
% let p1 = precedence F "
% xor > implies > not > and_star > or > and > truth > falsehood > not_truth_xor_falsehood_and_star_or_implies_and__1 > not_truth_xor_falsehood_and_star_or_implies_and__2";
%
% let s2 = status F "
% and mul;
% implies mul;
% or mul;
% and_star mul;
% falsehood mul;
% xor mul;
% truth mul;
% not mul;
% ";
%
% let p2 = precedence F "
% xor > implies > not > and_star > or > and > truth = falsehood > not_truth_xor_falsehood_and_star_or_implies_and__1 > not_truth_xor_falsehood_and_star_or_implies_and__2";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X "not_truth_xor_falsehood_and_star_or_implies_and__1 = not_truth_xor_falsehood_and_star_or_implies_and__2"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { not(X) = truth xor X,
% falsehood xor X = X,
% X xor X = falsehood,
% truth and_star X = X,
% falsehood and_star X = falsehood,
% (truth xor X) and_star X = falsehood,
% (truth xor Y) xor X = (truth xor X) xor Y,
% (((truth xor X) and_star Y) xor truth) and_star Y
% =
% (((truth xor Y) and_star X) xor truth) and_star X,
% X or Y = implies(not(X),Y),
% X and Y = not(not(X) or not(Y)),
% X xor Y = (not(X) and Y) or (not(Y) and X),
% X and_star Y = not(not(X) or not(Y)),
% not(truth) = falsehood } (13 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { not_truth_xor_falsehood_and_star_or_implies_and__1
% =
% not_truth_xor_falsehood_and_star_or_implies_and__2 }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] not(truth) -> falsehood
% Current number of equations to process: 0
% Current number of ordered equations: 14
% Current number of rules: 1
% New rule produced : [2] X xor X -> falsehood
% Current number of equations to process: 0
% Current number of ordered equations: 13
% Current number of rules: 2
% New rule produced : [3] falsehood xor X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 3
% New rule produced : [4] truth and_star X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 4
% New rule produced : [5] falsehood and_star X -> falsehood
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 5
% New rule produced : [6] truth xor X -> not(X)
% Current number of equations to process: 5
% Current number of ordered equations: 4
% Current number of rules: 6
% New rule produced : [7] not(X) and_star X -> falsehood
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 7
% New rule produced : [8] implies(not(X),Y) -> X or Y
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 8
% New rule produced : [9] not(not(X) or not(Y)) -> X and Y
% Current number of equations to process: 1
% Current number of ordered equations: 5
% Current number of rules: 9
% New rule produced : [10] not(X) xor Y <-> not(Y) xor X
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 10
% New rule produced : [11] X and_star Y -> X and Y
% Rule [4] truth and_star X -> X collapsed.
% Rule [5] falsehood and_star X -> falsehood collapsed.
% Rule [7] not(X) and_star X -> falsehood collapsed.
% Current number of equations to process: 5
% Current number of ordered equations: 3
% Current number of rules: 8
% New rule produced : [12] truth and X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 9
% New rule produced : [13] falsehood and X -> falsehood
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 10
% New rule produced : [14] not(X) and X -> falsehood
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 11
% New rule produced : [15] X xor Y -> (not(X) and Y) or (not(Y) and X)
% Rule [2] X xor X -> falsehood collapsed.
% Rule [3] falsehood xor X -> X collapsed.
% Rule [6] truth xor X -> not(X) collapsed.
% Rule [10] not(X) xor Y <-> not(Y) xor X collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 3
% Current number of rules: 8
% New rule produced : [16] falsehood or falsehood -> falsehood
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 9
% New rule produced : [17] (not(falsehood) and X) or falsehood -> X
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 10
% New rule produced : [18] falsehood or not(X) -> not(X)
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 11
% New rule produced : [19] not(not(Y) and X) and X <-> not(not(X) and Y) and Y
% Current number of equations to process: 0
% Current number of ordered equations: 28
% Current number of rules: 12
% New rule produced :
% [20]
% (not(not(X)) and Y) or (not(X) and not(Y)) <->
% (not(not(Y)) and X) or (not(X) and not(Y))
% Current number of equations to process: 59
% Current number of ordered equations: 48
% Current number of rules: 13
% New rule produced : [21] not(falsehood) -> truth
% Rule [17] (not(falsehood) and X) or falsehood -> X collapsed.
% Current number of equations to process: 65
% Current number of ordered equations: 17
% Current number of rules: 13
% New rule produced : [22] falsehood or X -> X
% Rule [16] falsehood or falsehood -> falsehood collapsed.
% Rule [18] falsehood or not(X) -> not(X) collapsed.
% Current number of equations to process: 64
% Current number of ordered equations: 15
% Current number of rules: 12
% New rule produced : [23] not(not(X)) -> X
% Rule
% [20]
% (not(not(X)) and Y) or (not(X) and not(Y)) <->
% (not(not(Y)) and X) or (not(X) and not(Y)) collapsed.
% Current number of equations to process: 64
% Current number of ordered equations: 11
% Current number of rules: 12
% New rule produced : [24] implies(falsehood,X) -> truth or X
% Current number of equations to process: 64
% Current number of ordered equations: 10
% Current number of rules: 13
% New rule produced : [25] implies(truth,X) -> X
% Current number of equations to process: 65
% Current number of ordered equations: 10
% Current number of rules: 14
% New rule produced : [26] not(truth or not(X)) -> falsehood
% Current number of equations to process: 62
% Current number of ordered equations: 10
% Current number of rules: 15
% New rule produced : [27] not(X and Y) -> not(X) or not(Y)
% Rule [19] not(not(Y) and X) and X <-> not(not(X) and Y) and Y collapsed.
% Current number of equations to process: 61
% Current number of ordered equations: 5
% Current number of rules: 15
% New rule produced : [28] (not(X) or Y) and X <-> (not(Y) or X) and Y
% Current number of equations to process: 60
% Current number of ordered equations: 22
% Current number of rules: 16
% New rule produced : [29] not(truth or truth) -> falsehood
% Current number of equations to process: 60
% Current number of ordered equations: 21
% Current number of rules: 17
% New rule produced : [30] not(truth or X) -> falsehood
% Rule [26] not(truth or not(X)) -> falsehood collapsed.
% Rule [29] not(truth or truth) -> falsehood collapsed.
% Current number of equations to process: 60
% Current number of ordered equations: 15
% Current number of rules: 16
% New rule produced : [31] truth or not(X) -> truth
% Current number of equations to process: 60
% Current number of ordered equations: 13
% Current number of rules: 17
% New rule produced : [32] not(X) or X -> truth
% Current number of equations to process: 60
% Current number of ordered equations: 10
% Current number of rules: 18
% New rule produced : [33] implies(X,Y) -> not(X) or Y
% Rule [8] implies(not(X),Y) -> X or Y collapsed.
% Rule [24] implies(falsehood,X) -> truth or X collapsed.
% Rule [25] implies(truth,X) -> X collapsed.
% Current number of equations to process: 60
% Current number of ordered equations: 7
% Current number of rules: 16
% New rule produced : [34] not(not(X) or Y) -> not(Y) and X
% Rule [9] not(not(X) or not(Y)) -> X and Y collapsed.
% Current number of equations to process: 60
% Current number of ordered equations: 2
% Current number of rules: 16
% New rule produced : [35] (not(X) or not(Y)) and X and Y -> falsehood
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [36] (not(X) or Y) and not(Y) and X -> falsehood
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [37] (not(X) or not(Y)) and Y -> (X or Y) and not(X)
% Rule [35] (not(X) or not(Y)) and X and Y -> falsehood collapsed.
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [38] (not(Y) and X) or not(X) <-> (not(X) and Y) or not(Y)
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [39] truth or X -> truth
% Rule [30] not(truth or X) -> falsehood collapsed.
% Rule [31] truth or not(X) -> truth collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [40] not(X or Y) -> not(X) and not(Y)
% Rule [34] not(not(X) or Y) -> not(Y) and X collapsed.
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [41] (X and Y) or not(X) or not(Y) -> truth
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [42] (X or Y) and not(X) and not(Y) -> falsehood
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [43] (not(X) and Y) or not(Y) or X -> truth
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [44] (X and Y) or not(X) <-> (not(X) and not(Y)) or Y
% Current number of equations to process: 96
% Current number of ordered equations: 2
% Current number of rules: 22
% New rule produced : [45] (not(X) and not(Y)) or X <-> (X and Y) or not(Y)
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [46] (not(X) or Y) and not(Y) <-> (not(Y) or X) and not(X)
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [47] (not(X) and not(Y)) or X or Y -> truth
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [48] (not(Y) and X) or Y <-> (not(X) and Y) or X
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [49] ((not(X) and not(Y)) or Y) and X -> X and Y
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [50] ((X or Y) and not(X)) or (X and Y) -> Y
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [51] ((not(X) and Y) or not(Y)) and X -> not(Y) and X
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [52] ((not(X) or Y) and X) or not(Y) -> not(Y) or X
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [53] ((not(X) or Y) and not(Y)) or Y -> not(X) or Y
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [54] ((not(X) or Y) and not(Y)) or X -> not(Y) or X
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [55] ((X and Y) or not(Y)) and Y -> X and Y
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [56] ((not(X) and Y) or X) and not(Y) -> not(Y) and X
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [57] (X and Y) or X or Y -> X or Y
% Current number of equations to process: 500
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [58] ((not(X) and Y) or X) and not(X) -> not(X) and Y
% Current number of equations to process: 501
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [59] ((not(X) or Y) and X) or not(X) -> not(X) or Y
% Current number of equations to process: 500
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [60] ((X or X) and not(X)) or X -> X or X
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [61] ((X or Y) and not(X)) or X -> X or Y
% Rule [53] ((not(X) or Y) and not(Y)) or Y -> not(X) or Y collapsed.
% Rule [60] ((X or X) and not(X)) or X -> X or X collapsed.
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [62] (X and Y and Z) or Y or Z -> Y or Z
% Current number of equations to process: 1488
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [63] ((X or Y) and not(X)) or not(Y) -> not(X) or not(Y)
% Current number of equations to process: 3143
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [64] ((not(X) or Y) and X) or (not(X) and Y) -> Y
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [65] ((not(X) and Y) or X) and (not(Y) or X) -> X
% Current number of equations to process: 3178
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [66] ((not(X) or Y) and X) or (not(Y) and X) -> X
% Current number of equations to process: 3177
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [67] ((X and Y) or not(Y)) and not(X) -> not(X) and not(Y)
% Current number of equations to process: 3175
% Current number of ordered equations: 0
% Current number of rules: 43
% NewCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------