TSTP Solution File: GEO020-2 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO020-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n024.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 : Sat Jul 16 04:39:52 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(lower_dimension3,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
input ).
fof(lower_dimension3_0,plain,
( ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2)
| $false ),
inference(orientation,[status(thm)],[lower_dimension3]) ).
cnf(lower_dimension2,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
input ).
fof(lower_dimension2_0,plain,
( ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1)
| $false ),
inference(orientation,[status(thm)],[lower_dimension2]) ).
cnf(lower_dimension1,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
input ).
fof(lower_dimension1_0,plain,
( ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3)
| $false ),
inference(orientation,[status(thm)],[lower_dimension1]) ).
cnf(segment_construction2,axiom,
equidistant(Y,extension(X,Y,W,V),W,V),
input ).
fof(segment_construction2_0,plain,
! [V,W,X,Y] :
( equidistant(Y,extension(X,Y,W,V),W,V)
| $false ),
inference(orientation,[status(thm)],[segment_construction2]) ).
cnf(segment_construction1,axiom,
between(X,Y,extension(X,Y,W,V)),
input ).
fof(segment_construction1_0,plain,
! [V,W,X,Y] :
( between(X,Y,extension(X,Y,W,V))
| $false ),
inference(orientation,[status(thm)],[segment_construction1]) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X,Y,Y,X),
input ).
fof(reflexivity_for_equidistance_0,plain,
! [X,Y] :
( equidistant(X,Y,Y,X)
| $false ),
inference(orientation,[status(thm)],[reflexivity_for_equidistance]) ).
fof(def_lhs_atom1,axiom,
! [Y,X] :
( lhs_atom1(Y,X)
<=> equidistant(X,Y,Y,X) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [X,Y] :
( lhs_atom1(Y,X)
| $false ),
inference(fold_definition,[status(thm)],[reflexivity_for_equidistance_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [Y,X,W,V] :
( lhs_atom2(Y,X,W,V)
<=> between(X,Y,extension(X,Y,W,V)) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [V,W,X,Y] :
( lhs_atom2(Y,X,W,V)
| $false ),
inference(fold_definition,[status(thm)],[segment_construction1_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [Y,X,W,V] :
( lhs_atom3(Y,X,W,V)
<=> equidistant(Y,extension(X,Y,W,V),W,V) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [V,W,X,Y] :
( lhs_atom3(Y,X,W,V)
| $false ),
inference(fold_definition,[status(thm)],[segment_construction2_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> ~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[lower_dimension1_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
( lhs_atom5
<=> ~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[lower_dimension2_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
( lhs_atom6
<=> ~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[lower_dimension3_0,def_lhs_atom6]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2,X3,X4] :
( lhs_atom3(X1,X2,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_1,axiom,
! [X1,X2,X3,X4] :
( lhs_atom2(X1,X2,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_2,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_3,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_4,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_5,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_6,plain,
! [X1,X2,X3,X4] : lhs_atom3(X1,X2,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_7,plain,
! [X1,X2,X3,X4] : lhs_atom2(X1,X2,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_8,plain,
! [X1,X2] : lhs_atom1(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_9,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_10,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_11,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_12,plain,
! [X5,X6,X7,X8] : lhs_atom3(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_6]) ).
fof(c_0_13,plain,
! [X5,X6,X7,X8] : lhs_atom2(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_7]) ).
fof(c_0_14,plain,
! [X3,X4] : lhs_atom1(X3,X4),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_15,plain,
lhs_atom6,
c_0_9 ).
fof(c_0_16,plain,
lhs_atom5,
c_0_10 ).
fof(c_0_17,plain,
lhs_atom4,
c_0_11 ).
cnf(c_0_18,plain,
lhs_atom3(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
lhs_atom2(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
lhs_atom1(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
lhs_atom3(X1,X2,X3,X4),
c_0_18,
[final] ).
cnf(c_0_25,plain,
lhs_atom2(X1,X2,X3,X4),
c_0_19,
[final] ).
cnf(c_0_26,plain,
lhs_atom1(X1,X2),
c_0_20,
[final] ).
cnf(c_0_27,plain,
lhs_atom6,
c_0_21,
[final] ).
cnf(c_0_28,plain,
lhs_atom5,
c_0_22,
[final] ).
cnf(c_0_29,plain,
lhs_atom4,
c_0_23,
[final] ).
% End CNF derivation
cnf(c_0_24_0,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(unfold_definition,[status(thm)],[c_0_24,def_lhs_atom3]) ).
cnf(c_0_25_0,axiom,
between(X2,X1,extension(X2,X1,X3,X4)),
inference(unfold_definition,[status(thm)],[c_0_25,def_lhs_atom2]) ).
cnf(c_0_26_0,axiom,
equidistant(X2,X1,X1,X2),
inference(unfold_definition,[status(thm)],[c_0_26,def_lhs_atom1]) ).
cnf(c_0_27_0,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(unfold_definition,[status(thm)],[c_0_27,def_lhs_atom6]) ).
cnf(c_0_28_0,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(unfold_definition,[status(thm)],[c_0_28,def_lhs_atom5]) ).
cnf(c_0_29_0,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(unfold_definition,[status(thm)],[c_0_29,def_lhs_atom4]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ~ equidistant(X6,X5,X6,X4)
| ~ equidistant(X6,X2,X6,X1)
| ~ between(X6,X5,X2)
| ~ between(X5,X3,X2)
| equidistant(X6,X3,X6,continuous(X6,X5,X4,X3,X2,X1)) ),
file('<stdin>',continuity2) ).
fof(c_0_1_002,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ~ equidistant(X6,X5,X6,X4)
| ~ equidistant(X6,X2,X6,X1)
| ~ between(X6,X5,X2)
| ~ between(X5,X3,X2)
| between(X4,continuous(X6,X5,X4,X3,X2,X1),X1) ),
file('<stdin>',continuity1) ).
fof(c_0_2_003,axiom,
! [X7,X2,X3,X5,X6] :
( ~ between(X6,X3,X7)
| ~ between(X5,X3,X2)
| X6 = X3
| between(euclid1(X6,X5,X3,X2,X7),X7,euclid2(X6,X5,X3,X2,X7)) ),
file('<stdin>',euclid3) ).
fof(c_0_3_004,axiom,
! [X7,X2,X3,X5,X6] :
( ~ between(X6,X3,X7)
| ~ between(X5,X3,X2)
| X6 = X3
| between(X6,X5,euclid1(X6,X5,X3,X2,X7)) ),
file('<stdin>',euclid1) ).
fof(c_0_4_005,axiom,
! [X7,X2,X3,X5,X6] :
( ~ between(X6,X3,X7)
| ~ between(X5,X3,X2)
| X6 = X3
| between(X6,X2,euclid2(X6,X5,X3,X2,X7)) ),
file('<stdin>',euclid2) ).
fof(c_0_5_006,axiom,
! [X7,X2,X3,X5,X6] :
( ~ between(X6,X5,X3)
| ~ between(X7,X2,X3)
| between(X5,inner_pasch(X6,X5,X3,X2,X7),X7) ),
file('<stdin>',inner_pasch1) ).
fof(c_0_6_007,axiom,
! [X7,X2,X3,X5,X6] :
( ~ between(X6,X5,X3)
| ~ between(X7,X2,X3)
| between(X2,inner_pasch(X6,X5,X3,X2,X7),X6) ),
file('<stdin>',inner_pasch2) ).
fof(c_0_7_008,axiom,
! [X9,X8,X10,X7,X1,X2,X4,X5] :
( ~ equidistant(X2,X7,X1,X10)
| ~ equidistant(X7,X8,X10,X9)
| ~ equidistant(X2,X5,X1,X4)
| ~ equidistant(X7,X5,X10,X4)
| ~ between(X2,X7,X8)
| ~ between(X1,X10,X9)
| X2 = X7
| equidistant(X8,X5,X9,X4) ),
file('<stdin>',outer_five_segment) ).
fof(c_0_8_009,axiom,
! [X8,X7,X2,X3,X5] :
( ~ equidistant(X2,X3,X2,X5)
| ~ equidistant(X7,X3,X7,X5)
| ~ equidistant(X8,X3,X8,X5)
| between(X2,X7,X8)
| between(X7,X8,X2)
| between(X8,X2,X7)
| X3 = X5 ),
file('<stdin>',upper_dimension) ).
fof(c_0_9_010,axiom,
! [X8,X7,X2,X3,X11,X5] :
( ~ equidistant(X2,X7,X8,X5)
| ~ equidistant(X2,X7,X11,X3)
| equidistant(X8,X5,X11,X3) ),
file('<stdin>',transitivity_for_equidistance) ).
fof(c_0_10_011,axiom,
! [X8,X7,X2] :
( ~ equidistant(X2,X7,X8,X8)
| X2 = X7 ),
file('<stdin>',identity_for_equidistance) ).
fof(c_0_11_012,axiom,
! [X7,X2] :
( ~ between(X2,X7,X2)
| X2 = X7 ),
file('<stdin>',identity_for_betweeness) ).
fof(c_0_12_013,plain,
! [X1,X2,X3,X4,X5,X6] :
( ~ equidistant(X6,X5,X6,X4)
| ~ equidistant(X6,X2,X6,X1)
| ~ between(X6,X5,X2)
| ~ between(X5,X3,X2)
| equidistant(X6,X3,X6,continuous(X6,X5,X4,X3,X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_13_014,plain,
! [X1,X2,X3,X4,X5,X6] :
( ~ equidistant(X6,X5,X6,X4)
| ~ equidistant(X6,X2,X6,X1)
| ~ between(X6,X5,X2)
| ~ between(X5,X3,X2)
| between(X4,continuous(X6,X5,X4,X3,X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_14_015,plain,
! [X7,X2,X3,X5,X6] :
( ~ between(X6,X3,X7)
| ~ between(X5,X3,X2)
| X6 = X3
| between(euclid1(X6,X5,X3,X2,X7),X7,euclid2(X6,X5,X3,X2,X7)) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_15_016,plain,
! [X7,X2,X3,X5,X6] :
( ~ between(X6,X3,X7)
| ~ between(X5,X3,X2)
| X6 = X3
| between(X6,X5,euclid1(X6,X5,X3,X2,X7)) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_16_017,plain,
! [X7,X2,X3,X5,X6] :
( ~ between(X6,X3,X7)
| ~ between(X5,X3,X2)
| X6 = X3
| between(X6,X2,euclid2(X6,X5,X3,X2,X7)) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_17_018,plain,
! [X7,X2,X3,X5,X6] :
( ~ between(X6,X5,X3)
| ~ between(X7,X2,X3)
| between(X5,inner_pasch(X6,X5,X3,X2,X7),X7) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_18_019,plain,
! [X7,X2,X3,X5,X6] :
( ~ between(X6,X5,X3)
| ~ between(X7,X2,X3)
| between(X2,inner_pasch(X6,X5,X3,X2,X7),X6) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_19_020,plain,
! [X9,X8,X10,X7,X1,X2,X4,X5] :
( ~ equidistant(X2,X7,X1,X10)
| ~ equidistant(X7,X8,X10,X9)
| ~ equidistant(X2,X5,X1,X4)
| ~ equidistant(X7,X5,X10,X4)
| ~ between(X2,X7,X8)
| ~ between(X1,X10,X9)
| X2 = X7
| equidistant(X8,X5,X9,X4) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_20_021,plain,
! [X8,X7,X2,X3,X5] :
( ~ equidistant(X2,X3,X2,X5)
| ~ equidistant(X7,X3,X7,X5)
| ~ equidistant(X8,X3,X8,X5)
| between(X2,X7,X8)
| between(X7,X8,X2)
| between(X8,X2,X7)
| X3 = X5 ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_21_022,plain,
! [X8,X7,X2,X3,X11,X5] :
( ~ equidistant(X2,X7,X8,X5)
| ~ equidistant(X2,X7,X11,X3)
| equidistant(X8,X5,X11,X3) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_22_023,plain,
! [X8,X7,X2] :
( ~ equidistant(X2,X7,X8,X8)
| X2 = X7 ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_23_024,plain,
! [X7,X2] :
( ~ between(X2,X7,X2)
| X2 = X7 ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_24_025,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ equidistant(X12,X11,X12,X10)
| ~ equidistant(X12,X8,X12,X7)
| ~ between(X12,X11,X8)
| ~ between(X11,X9,X8)
| equidistant(X12,X9,X12,continuous(X12,X11,X10,X9,X8,X7)) ),
inference(variable_rename,[status(thm)],[c_0_12]) ).
fof(c_0_25_026,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ equidistant(X12,X11,X12,X10)
| ~ equidistant(X12,X8,X12,X7)
| ~ between(X12,X11,X8)
| ~ between(X11,X9,X8)
| between(X10,continuous(X12,X11,X10,X9,X8,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_13]) ).
fof(c_0_26_027,plain,
! [X8,X9,X10,X11,X12] :
( ~ between(X12,X10,X8)
| ~ between(X11,X10,X9)
| X12 = X10
| between(euclid1(X12,X11,X10,X9,X8),X8,euclid2(X12,X11,X10,X9,X8)) ),
inference(variable_rename,[status(thm)],[c_0_14]) ).
fof(c_0_27_028,plain,
! [X8,X9,X10,X11,X12] :
( ~ between(X12,X10,X8)
| ~ between(X11,X10,X9)
| X12 = X10
| between(X12,X11,euclid1(X12,X11,X10,X9,X8)) ),
inference(variable_rename,[status(thm)],[c_0_15]) ).
fof(c_0_28_029,plain,
! [X8,X9,X10,X11,X12] :
( ~ between(X12,X10,X8)
| ~ between(X11,X10,X9)
| X12 = X10
| between(X12,X9,euclid2(X12,X11,X10,X9,X8)) ),
inference(variable_rename,[status(thm)],[c_0_16]) ).
fof(c_0_29_030,plain,
! [X8,X9,X10,X11,X12] :
( ~ between(X12,X11,X10)
| ~ between(X8,X9,X10)
| between(X11,inner_pasch(X12,X11,X10,X9,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_17]) ).
fof(c_0_30,plain,
! [X8,X9,X10,X11,X12] :
( ~ between(X12,X11,X10)
| ~ between(X8,X9,X10)
| between(X9,inner_pasch(X12,X11,X10,X9,X8),X12) ),
inference(variable_rename,[status(thm)],[c_0_18]) ).
fof(c_0_31,plain,
! [X11,X12,X13,X14,X15,X16,X17,X18] :
( ~ equidistant(X16,X14,X15,X13)
| ~ equidistant(X14,X12,X13,X11)
| ~ equidistant(X16,X18,X15,X17)
| ~ equidistant(X14,X18,X13,X17)
| ~ between(X16,X14,X12)
| ~ between(X15,X13,X11)
| X16 = X14
| equidistant(X12,X18,X11,X17) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_19])])]) ).
fof(c_0_32,plain,
! [X9,X10,X11,X12,X13] :
( ~ equidistant(X11,X12,X11,X13)
| ~ equidistant(X10,X12,X10,X13)
| ~ equidistant(X9,X12,X9,X13)
| between(X11,X10,X9)
| between(X10,X9,X11)
| between(X9,X11,X10)
| X12 = X13 ),
inference(variable_rename,[status(thm)],[c_0_20]) ).
fof(c_0_33,plain,
! [X12,X13,X14,X15,X16,X17] :
( ~ equidistant(X14,X13,X12,X17)
| ~ equidistant(X14,X13,X16,X15)
| equidistant(X12,X17,X16,X15) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
fof(c_0_34,plain,
! [X9,X10,X11] :
( ~ equidistant(X11,X10,X9,X9)
| X11 = X10 ),
inference(variable_rename,[status(thm)],[c_0_22]) ).
fof(c_0_35,plain,
! [X8,X9] :
( ~ between(X9,X8,X9)
| X9 = X8 ),
inference(variable_rename,[status(thm)],[c_0_23]) ).
cnf(c_0_36,plain,
( equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ between(X3,X2,X5)
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37,plain,
( between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ between(X3,X4,X5)
| ~ between(X2,X3,X5)
| ~ equidistant(X2,X5,X2,X6)
| ~ equidistant(X2,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38,plain,
( between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,plain,
( between(X1,X2,euclid1(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_40,plain,
( between(X1,X2,euclid2(X1,X3,X4,X2,X5))
| X1 = X4
| ~ between(X3,X4,X2)
| ~ between(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_41,plain,
( between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
| ~ between(X5,X4,X3)
| ~ between(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,plain,
( between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)
| ~ between(X5,X1,X4)
| ~ between(X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_43,plain,
( equidistant(X1,X2,X3,X4)
| X5 = X6
| ~ between(X7,X8,X3)
| ~ between(X5,X6,X1)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_44,plain,
( X1 = X2
| between(X3,X4,X5)
| between(X5,X3,X4)
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_45,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_47,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_48,plain,
( equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ between(X3,X2,X5)
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
c_0_36,
[final] ).
cnf(c_0_49,plain,
( between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ between(X3,X4,X5)
| ~ between(X2,X3,X5)
| ~ equidistant(X2,X5,X2,X6)
| ~ equidistant(X2,X3,X2,X1) ),
c_0_37,
[final] ).
cnf(c_0_50,plain,
( between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
c_0_38,
[final] ).
cnf(c_0_51,plain,
( between(X1,X2,euclid1(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
c_0_39,
[final] ).
cnf(c_0_52,plain,
( between(X1,X2,euclid2(X1,X3,X4,X2,X5))
| X1 = X4
| ~ between(X3,X4,X2)
| ~ between(X1,X4,X5) ),
c_0_40,
[final] ).
cnf(c_0_53,plain,
( between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
| ~ between(X5,X4,X3)
| ~ between(X2,X1,X3) ),
c_0_41,
[final] ).
cnf(c_0_54,plain,
( between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)
| ~ between(X5,X1,X4)
| ~ between(X2,X3,X4) ),
c_0_42,
[final] ).
cnf(c_0_55,plain,
( equidistant(X1,X2,X3,X4)
| X5 = X6
| ~ between(X7,X8,X3)
| ~ between(X5,X6,X1)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
c_0_43,
[final] ).
cnf(c_0_56,plain,
( X1 = X2
| between(X3,X4,X5)
| between(X5,X3,X4)
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
c_0_44,
[final] ).
cnf(c_0_57,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
c_0_45,
[final] ).
cnf(c_0_58,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
c_0_46,
[final] ).
cnf(c_0_59,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
c_0_47,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_48_0,axiom,
( equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ between(X3,X2,X5)
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_1,axiom,
( ~ between(X3,X2,X5)
| equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ between(X1,X3,X5)
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_2,axiom,
( ~ between(X1,X3,X5)
| ~ between(X3,X2,X5)
| equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ equidistant(X1,X5,X1,X6)
| ~ equidistant(X1,X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_3,axiom,
( ~ equidistant(X1,X5,X1,X6)
| ~ between(X1,X3,X5)
| ~ between(X3,X2,X5)
| equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6))
| ~ equidistant(X1,X3,X1,X4) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_4,axiom,
( ~ equidistant(X1,X3,X1,X4)
| ~ equidistant(X1,X5,X1,X6)
| ~ between(X1,X3,X5)
| ~ between(X3,X2,X5)
| equidistant(X1,X2,X1,continuous(X1,X3,X4,X2,X5,X6)) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_49_0,axiom,
( between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ between(X3,X4,X5)
| ~ between(X2,X3,X5)
| ~ equidistant(X2,X5,X2,X6)
| ~ equidistant(X2,X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_1,axiom,
( ~ between(X3,X4,X5)
| between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ between(X2,X3,X5)
| ~ equidistant(X2,X5,X2,X6)
| ~ equidistant(X2,X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_2,axiom,
( ~ between(X2,X3,X5)
| ~ between(X3,X4,X5)
| between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ equidistant(X2,X5,X2,X6)
| ~ equidistant(X2,X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_3,axiom,
( ~ equidistant(X2,X5,X2,X6)
| ~ between(X2,X3,X5)
| ~ between(X3,X4,X5)
| between(X1,continuous(X2,X3,X1,X4,X5,X6),X6)
| ~ equidistant(X2,X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_4,axiom,
( ~ equidistant(X2,X3,X2,X1)
| ~ equidistant(X2,X5,X2,X6)
| ~ between(X2,X3,X5)
| ~ between(X3,X4,X5)
| between(X1,continuous(X2,X3,X1,X4,X5,X6),X6) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_50_0,axiom,
( between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_1,axiom,
( X1 = X3
| between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5))
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_2,axiom,
( ~ between(X2,X3,X4)
| X1 = X3
| between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5))
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_3,axiom,
( ~ between(X1,X3,X5)
| ~ between(X2,X3,X4)
| X1 = X3
| between(euclid1(X1,X2,X3,X4,X5),X5,euclid2(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_51_0,axiom,
( between(X1,X2,euclid1(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_1,axiom,
( X1 = X3
| between(X1,X2,euclid1(X1,X2,X3,X4,X5))
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_2,axiom,
( ~ between(X2,X3,X4)
| X1 = X3
| between(X1,X2,euclid1(X1,X2,X3,X4,X5))
| ~ between(X1,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_3,axiom,
( ~ between(X1,X3,X5)
| ~ between(X2,X3,X4)
| X1 = X3
| between(X1,X2,euclid1(X1,X2,X3,X4,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_52_0,axiom,
( between(X1,X2,euclid2(X1,X3,X4,X2,X5))
| X1 = X4
| ~ between(X3,X4,X2)
| ~ between(X1,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_1,axiom,
( X1 = X4
| between(X1,X2,euclid2(X1,X3,X4,X2,X5))
| ~ between(X3,X4,X2)
| ~ between(X1,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_2,axiom,
( ~ between(X3,X4,X2)
| X1 = X4
| between(X1,X2,euclid2(X1,X3,X4,X2,X5))
| ~ between(X1,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_3,axiom,
( ~ between(X1,X4,X5)
| ~ between(X3,X4,X2)
| X1 = X4
| between(X1,X2,euclid2(X1,X3,X4,X2,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_53_0,axiom,
( between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
| ~ between(X5,X4,X3)
| ~ between(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_1,axiom,
( ~ between(X5,X4,X3)
| between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
| ~ between(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_2,axiom,
( ~ between(X2,X1,X3)
| ~ between(X5,X4,X3)
| between(X1,inner_pasch(X2,X1,X3,X4,X5),X5) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_54_0,axiom,
( between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)
| ~ between(X5,X1,X4)
| ~ between(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_1,axiom,
( ~ between(X5,X1,X4)
| between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)
| ~ between(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_54_2,axiom,
( ~ between(X2,X3,X4)
| ~ between(X5,X1,X4)
| between(X1,inner_pasch(X2,X3,X4,X1,X5),X2) ),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_55_0,axiom,
( equidistant(X1,X2,X3,X4)
| X5 = X6
| ~ between(X7,X8,X3)
| ~ between(X5,X6,X1)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_1,axiom,
( X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ between(X7,X8,X3)
| ~ between(X5,X6,X1)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_2,axiom,
( ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ between(X5,X6,X1)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_3,axiom,
( ~ between(X5,X6,X1)
| ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X6,X2,X8,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_4,axiom,
( ~ equidistant(X6,X2,X8,X4)
| ~ between(X5,X6,X1)
| ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_5,axiom,
( ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X2,X8,X4)
| ~ between(X5,X6,X1)
| ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_6,axiom,
( ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X2,X8,X4)
| ~ between(X5,X6,X1)
| ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X7,X8) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_55_7,axiom,
( ~ equidistant(X5,X6,X7,X8)
| ~ equidistant(X6,X1,X8,X3)
| ~ equidistant(X5,X2,X7,X4)
| ~ equidistant(X6,X2,X8,X4)
| ~ between(X5,X6,X1)
| ~ between(X7,X8,X3)
| X5 = X6
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_56_0,axiom,
( X1 = X2
| between(X3,X4,X5)
| between(X5,X3,X4)
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_56_1,axiom,
( between(X3,X4,X5)
| X1 = X2
| between(X5,X3,X4)
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_56_2,axiom,
( between(X5,X3,X4)
| between(X3,X4,X5)
| X1 = X2
| between(X4,X5,X3)
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_56_3,axiom,
( between(X4,X5,X3)
| between(X5,X3,X4)
| between(X3,X4,X5)
| X1 = X2
| ~ equidistant(X3,X1,X3,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_56_4,axiom,
( ~ equidistant(X3,X1,X3,X2)
| between(X4,X5,X3)
| between(X5,X3,X4)
| between(X3,X4,X5)
| X1 = X2
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_56_5,axiom,
( ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X3,X1,X3,X2)
| between(X4,X5,X3)
| between(X5,X3,X4)
| between(X3,X4,X5)
| X1 = X2
| ~ equidistant(X4,X1,X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_56_6,axiom,
( ~ equidistant(X4,X1,X4,X2)
| ~ equidistant(X5,X1,X5,X2)
| ~ equidistant(X3,X1,X3,X2)
| between(X4,X5,X3)
| between(X5,X3,X4)
| between(X3,X4,X5)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_57_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_57_1,axiom,
( ~ equidistant(X5,X6,X3,X4)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_57_2,axiom,
( ~ equidistant(X5,X6,X1,X2)
| ~ equidistant(X5,X6,X3,X4)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
cnf(c_0_58_0,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_58_1,axiom,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_58]) ).
cnf(c_0_59_0,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
cnf(c_0_59_1,axiom,
( ~ between(X1,X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_59]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_031,negated_conjecture,
~ equidistant(x,w,u,v),
file('<stdin>',prove_symmetry) ).
fof(c_0_1_032,hypothesis,
equidistant(u,v,w,x),
file('<stdin>',u_to_v_equals_w_to_x) ).
fof(c_0_2_033,negated_conjecture,
~ equidistant(x,w,u,v),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_3_034,hypothesis,
equidistant(u,v,w,x),
c_0_1 ).
fof(c_0_4_035,negated_conjecture,
~ equidistant(x,w,u,v),
c_0_2 ).
fof(c_0_5_036,hypothesis,
equidistant(u,v,w,x),
c_0_3 ).
cnf(c_0_6_037,negated_conjecture,
~ equidistant(x,w,u,v),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7_038,hypothesis,
equidistant(u,v,w,x),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8_039,negated_conjecture,
~ equidistant(x,w,u,v),
c_0_6,
[final] ).
cnf(c_0_9_040,hypothesis,
equidistant(u,v,w,x),
c_0_7,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_57,plain,
equidistant(u,v,w,x),
file('/export/starexec/sandbox2/tmp/iprover_modulo_293411.p',c_0_9) ).
cnf(c_66,plain,
equidistant(u,v,w,x),
inference(copy,[status(esa)],[c_57]) ).
cnf(c_73,plain,
equidistant(u,v,w,x),
inference(copy,[status(esa)],[c_66]) ).
cnf(c_74,plain,
equidistant(u,v,w,x),
inference(copy,[status(esa)],[c_73]) ).
cnf(c_77,plain,
equidistant(u,v,w,x),
inference(copy,[status(esa)],[c_74]) ).
cnf(c_250,plain,
equidistant(u,v,w,x),
inference(copy,[status(esa)],[c_77]) ).
cnf(c_56,negated_conjecture,
~ equidistant(x,w,u,v),
file('/export/starexec/sandbox2/tmp/iprover_modulo_293411.p',c_0_8) ).
cnf(c_68,negated_conjecture,
~ equidistant(x,w,u,v),
inference(copy,[status(esa)],[c_56]) ).
cnf(c_72,negated_conjecture,
~ equidistant(x,w,u,v),
inference(copy,[status(esa)],[c_68]) ).
cnf(c_75,negated_conjecture,
~ equidistant(x,w,u,v),
inference(copy,[status(esa)],[c_72]) ).
cnf(c_76,negated_conjecture,
~ equidistant(x,w,u,v),
inference(copy,[status(esa)],[c_75]) ).
cnf(c_248,plain,
~ equidistant(x,w,u,v),
inference(copy,[status(esa)],[c_76]) ).
cnf(c_43,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_293411.p',c_0_57_0) ).
cnf(c_222,plain,
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
inference(copy,[status(esa)],[c_43]) ).
cnf(c_256,plain,
( ~ equidistant(X0,X1,x,w)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[status(thm)],[c_248,c_222]) ).
cnf(c_257,plain,
( ~ equidistant(X0,X1,x,w)
| ~ equidistant(X0,X1,u,v) ),
inference(rewriting,[status(thm)],[c_256]) ).
cnf(c_264,plain,
( ~ equidistant(X0,X1,x,w)
| ~ equidistant(X2,X3,u,v)
| ~ equidistant(X2,X3,X0,X1) ),
inference(resolution,[status(thm)],[c_257,c_222]) ).
cnf(c_265,plain,
( ~ equidistant(X0,X1,x,w)
| ~ equidistant(X2,X3,u,v)
| ~ equidistant(X2,X3,X0,X1) ),
inference(rewriting,[status(thm)],[c_264]) ).
cnf(c_538,plain,
( ~ equidistant(w,x,x,w)
| ~ equidistant(u,v,u,v) ),
inference(resolution,[status(thm)],[c_250,c_265]) ).
cnf(c_539,plain,
( ~ equidistant(w,x,x,w)
| ~ equidistant(u,v,u,v) ),
inference(rewriting,[status(thm)],[c_538]) ).
cnf(c_53,plain,
equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox2/tmp/iprover_modulo_293411.p',c_0_26_0) ).
cnf(c_242,plain,
equidistant(X0,X1,X1,X0),
inference(copy,[status(esa)],[c_53]) ).
cnf(c_640,plain,
~ equidistant(u,v,u,v),
inference(forward_subsumption_resolution,[status(thm)],[c_539,c_242]) ).
cnf(c_641,plain,
~ equidistant(u,v,u,v),
inference(rewriting,[status(thm)],[c_640]) ).
cnf(c_645,plain,
~ equidistant(X0,X1,u,v),
inference(resolution,[status(thm)],[c_641,c_222]) ).
cnf(c_646,plain,
~ equidistant(X0,X1,u,v),
inference(rewriting,[status(thm)],[c_645]) ).
cnf(c_1581,plain,
$false,
inference(resolution,[status(thm)],[c_646,c_242]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO020-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n024.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 : Fri Jun 17 16:14:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.13/0.40 % Orienting using strategy Equiv(ClausalAll)
% 0.13/0.40 % Orientation found
% 0.13/0.40 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_8a9f5b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_293411.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_a65947 | grep -v "SZS"
% 0.20/0.43
% 0.20/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ iProver source info
% 0.20/0.43
% 0.20/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43 % git: non_committed_changes: true
% 0.20/0.43 % git: last_make_outside_of_git: true
% 0.20/0.43
% 0.20/0.43 %
% 0.20/0.43 % ------ Input Options
% 0.20/0.43
% 0.20/0.43 % --out_options all
% 0.20/0.43 % --tptp_safe_out true
% 0.20/0.43 % --problem_path ""
% 0.20/0.43 % --include_path ""
% 0.20/0.43 % --clausifier .//eprover
% 0.20/0.43 % --clausifier_options --tstp-format
% 0.20/0.43 % --stdin false
% 0.20/0.43 % --dbg_backtrace false
% 0.20/0.43 % --dbg_dump_prop_clauses false
% 0.20/0.43 % --dbg_dump_prop_clauses_file -
% 0.20/0.43 % --dbg_out_stat false
% 0.20/0.43
% 0.20/0.43 % ------ General Options
% 0.20/0.43
% 0.20/0.43 % --fof false
% 0.20/0.43 % --time_out_real 150.
% 0.20/0.43 % --time_out_prep_mult 0.2
% 0.20/0.43 % --time_out_virtual -1.
% 0.20/0.43 % --schedule none
% 0.20/0.43 % --ground_splitting input
% 0.20/0.43 % --splitting_nvd 16
% 0.20/0.43 % --non_eq_to_eq false
% 0.20/0.43 % --prep_gs_sim true
% 0.20/0.43 % --prep_unflatten false
% 0.20/0.43 % --prep_res_sim true
% 0.20/0.43 % --prep_upred true
% 0.20/0.43 % --res_sim_input true
% 0.20/0.43 % --clause_weak_htbl true
% 0.20/0.43 % --gc_record_bc_elim false
% 0.20/0.43 % --symbol_type_check false
% 0.20/0.43 % --clausify_out false
% 0.20/0.43 % --large_theory_mode false
% 0.20/0.43 % --prep_sem_filter none
% 0.20/0.43 % --prep_sem_filter_out false
% 0.20/0.43 % --preprocessed_out false
% 0.20/0.43 % --sub_typing false
% 0.20/0.43 % --brand_transform false
% 0.20/0.43 % --pure_diseq_elim true
% 0.20/0.43 % --min_unsat_core false
% 0.20/0.43 % --pred_elim true
% 0.20/0.43 % --add_important_lit false
% 0.20/0.43 % --soft_assumptions false
% 0.20/0.43 % --reset_solvers false
% 0.20/0.43 % --bc_imp_inh []
% 0.20/0.43 % --conj_cone_tolerance 1.5
% 0.20/0.43 % --prolific_symb_bound 500
% 0.20/0.43 % --lt_threshold 2000
% 0.20/0.43
% 0.20/0.43 % ------ SAT Options
% 0.20/0.43
% 0.20/0.43 % --sat_mode false
% 0.20/0.43 % --sat_fm_restart_options ""
% 0.20/0.43 % --sat_gr_def false
% 0.20/0.43 % --sat_epr_types true
% 0.20/0.43 % --sat_non_cyclic_types false
% 0.20/0.43 % --sat_finite_models false
% 0.20/0.43 % --sat_fm_lemmas false
% 0.20/0.43 % --sat_fm_prep false
% 0.20/0.43 % --sat_fm_uc_incr true
% 0.20/0.43 % --sat_out_model small
% 0.20/0.43 % --sat_out_clauses false
% 0.20/0.43
% 0.20/0.43 % ------ QBF Options
% 0.20/0.43
% 0.20/0.43 % --qbf_mode false
% 0.20/0.43 % --qbf_elim_univ true
% 0.20/0.43 % --qbf_sk_in true
% 0.20/0.43 % --qbf_pred_elim true
% 0.20/0.43 % --qbf_split 32
% 0.20/0.43
% 0.20/0.43 % ------ BMC1 Options
% 0.20/0.43
% 0.20/0.43 % --bmc1_incremental false
% 0.20/0.43 % --bmc1_axioms reachable_all
% 0.20/0.43 % --bmc1_min_bound 0
% 0.20/0.43 % --bmc1_max_bound -1
% 0.20/0.43 % --bmc1_max_bound_default -1
% 0.20/0.43 % --bmc1_symbol_reachability true
% 0.20/0.43 % --bmc1_property_lemmas false
% 0.20/0.43 % --bmc1_k_induction false
% 0.20/0.43 % --bmc1_non_equiv_states false
% 0.20/0.43 % --bmc1_deadlock false
% 0.20/0.43 % --bmc1_ucm false
% 0.20/0.43 % --bmc1_add_unsat_core none
% 0.20/0.43 % --bmc1_unsat_core_children false
% 0.20/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.43 % --bmc1_out_stat full
% 0.20/0.43 % --bmc1_ground_init false
% 0.20/0.43 % --bmc1_pre_inst_next_state false
% 0.20/0.43 % --bmc1_pre_inst_state false
% 0.20/0.43 % --bmc1_pre_inst_reach_state false
% 0.20/0.43 % --bmc1_out_unsat_core false
% 0.20/0.43 % --bmc1_aig_witness_out false
% 0.20/0.43 % --bmc1_verbose false
% 0.20/0.43 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.44 % --inst_prop_sim_new false
% 0.20/0.44 % --inst_orphan_elimination true
% 0.20/0.44 % --inst_learning_loop_flag true
% 0.20/0.44 % --inst_learning_start 3000
% 0.20/0.44 % --inst_learning_factor 2
% 0.20/0.44 % --inst_start_prop_sim_after_learn 3
% 0.20/0.44 % --inst_sel_renew solver
% 0.20/0.44 % --inst_lit_activity_flag true
% 0.20/0.44 % --inst_out_proof true
% 0.20/0.44
% 0.20/0.44 % ------ Resolution Options
% 0.20/0.44
% 0.20/0.44 % --resolution_flag true
% 0.20/0.44 % --res_lit_sel kbo_max
% 0.20/0.44 % --res_to_prop_solver none
% 0.20/0.44 % --res_prop_simpl_new false
% 0.20/0.44 % --res_prop_simpl_given false
% 0.20/0.44 % --res_passive_queue_type priority_queues
% 0.20/0.44 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44 % --res_passive_queues_freq [15;5]
% 0.20/0.44 % --res_forward_subs full
% 0.20/0.44 % --res_backward_subs full
% 0.20/0.44 % --res_forward_subs_resolution true
% 0.20/0.44 % --res_backward_subs_resolution true
% 0.20/0.44 % --res_orphan_elimination false
% 0.20/0.44 % --res_time_limit 1000.
% 0.20/0.44 % --res_out_proof true
% 0.20/0.44 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_8a9f5b.s
% 0.20/0.44 % --modulo true
% 0.20/0.44
% 0.20/0.44 % ------ Combination Options
% 0.20/0.44
% 0.20/0.44 % --comb_res_mult 1000
% 0.20/0.44 % --comb_inst_mult 300
% 0.20/0.44 % ------
% 0.20/0.44
% 0.20/0.44 % ------ Parsing...% successful
% 0.20/0.44
% 0.20/0.44 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.20/0.44
% 0.20/0.44 % ------ Proving...
% 0.20/0.44 % ------ Problem Properties
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % EPR false
% 0.20/0.44 % Horn false
% 0.20/0.44 % Has equality true
% 0.20/0.44
% 0.20/0.44 % % ------ Input Options Time Limit: Unbounded
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 % % ------ Current options:
% 0.20/0.44
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.44 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.44 % --bmc1_dump_file -
% 0.20/0.44 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.44 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.44 % --bmc1_ucm_extend_mode 1
% 0.20/0.44 % --bmc1_ucm_init_mode 2
% 0.20/0.44 % --bmc1_ucm_cone_mode none
% 0.20/0.44 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.44 % --bmc1_ucm_relax_model 4
% 0.20/0.44 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.44 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.44 % --bmc1_ucm_layered_model none
% 0.20/0.44 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.44
% 0.20/0.44 % ------ AIG Options
% 0.20/0.44
% 0.20/0.44 % --aig_mode false
% 0.20/0.44
% 0.20/0.44 % ------ Instantiation Options
% 0.20/0.44
% 0.20/0.44 % --instantiation_flag true
% 0.20/0.44 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.44 % --inst_solver_per_active 750
% 0.20/0.44 % --inst_solver_calls_frac 0.5
% 0.20/0.44 % --inst_passive_queue_type priority_queues
% 0.20/0.44 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.44 % --inst_passive_queues_freq [25;2]
% 0.20/0.44 % --inst_dismatching true
% 0.20/0.44 % --inst_eager_unprocessed_to_passive true
% 0.20/0.44 % --inst_prop_sim_given true
% 0.20/0.52 % --inst_prop_sim_new false
% 0.20/0.52 % --inst_orphan_elimination true
% 0.20/0.52 % --inst_learning_loop_flag true
% 0.20/0.52 % --inst_learning_start 3000
% 0.20/0.52 % --inst_learning_factor 2
% 0.20/0.52 % --inst_start_prop_sim_after_learn 3
% 0.20/0.52 % --inst_sel_renew solver
% 0.20/0.52 % --inst_lit_activity_flag true
% 0.20/0.52 % --inst_out_proof true
% 0.20/0.52
% 0.20/0.52 % ------ Resolution Options
% 0.20/0.52
% 0.20/0.52 % --resolution_flag true
% 0.20/0.52 % --res_lit_sel kbo_max
% 0.20/0.52 % --res_to_prop_solver none
% 0.20/0.52 % --res_prop_simpl_new false
% 0.20/0.52 % --res_prop_simpl_given false
% 0.20/0.52 % --res_passive_queue_type priority_queues
% 0.20/0.52 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.52 % --res_passive_queues_freq [15;5]
% 0.20/0.52 % --res_forward_subs full
% 0.20/0.52 % --res_backward_subs full
% 0.20/0.52 % --res_forward_subs_resolution true
% 0.20/0.52 % --res_backward_subs_resolution true
% 0.20/0.52 % --res_orphan_elimination false
% 0.20/0.52 % --res_time_limit 1000.
% 0.20/0.52 % --res_out_proof true
% 0.20/0.52 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_8a9f5b.s
% 0.20/0.52 % --modulo true
% 0.20/0.52
% 0.20/0.52 % ------ Combination Options
% 0.20/0.52
% 0.20/0.52 % --comb_res_mult 1000
% 0.20/0.52 % --comb_inst_mult 300
% 0.20/0.52 % ------
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 % ------ Proving...
% 0.20/0.52 %
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 % Resolution empty clause
% 0.20/0.52
% 0.20/0.52 % ------ Statistics
% 0.20/0.52
% 0.20/0.52 % ------ General
% 0.20/0.52
% 0.20/0.52 % num_of_input_clauses: 58
% 0.20/0.52 % num_of_input_neg_conjectures: 1
% 0.20/0.52 % num_of_splits: 0
% 0.20/0.52 % num_of_split_atoms: 0
% 0.20/0.52 % num_of_sem_filtered_clauses: 0
% 0.20/0.52 % num_of_subtypes: 0
% 0.20/0.52 % monotx_restored_types: 0
% 0.20/0.52 % sat_num_of_epr_types: 0
% 0.20/0.52 % sat_num_of_non_cyclic_types: 0
% 0.20/0.52 % sat_guarded_non_collapsed_types: 0
% 0.20/0.52 % is_epr: 0
% 0.20/0.52 % is_horn: 0
% 0.20/0.52 % has_eq: 1
% 0.20/0.52 % num_pure_diseq_elim: 0
% 0.20/0.52 % simp_replaced_by: 0
% 0.20/0.52 % res_preprocessed: 3
% 0.20/0.52 % prep_upred: 0
% 0.20/0.52 % prep_unflattend: 0
% 0.20/0.52 % pred_elim_cands: 0
% 0.20/0.52 % pred_elim: 0
% 0.20/0.52 % pred_elim_cl: 0
% 0.20/0.52 % pred_elim_cycles: 0
% 0.20/0.52 % forced_gc_time: 0
% 0.20/0.52 % gc_basic_clause_elim: 0
% 0.20/0.52 % parsing_time: 0.004
% 0.20/0.52 % sem_filter_time: 0.
% 0.20/0.52 % pred_elim_time: 0.
% 0.20/0.52 % out_proof_time: 0.001
% 0.20/0.52 % monotx_time: 0.
% 0.20/0.52 % subtype_inf_time: 0.
% 0.20/0.52 % unif_index_cands_time: 0.
% 0.20/0.52 % unif_index_add_time: 0.
% 0.20/0.52 % total_time: 0.108
% 0.20/0.52 % num_of_symbols: 39
% 0.20/0.52 % num_of_terms: 2363
% 0.20/0.52
% 0.20/0.52 % ------ Propositional Solver
% 0.20/0.52
% 0.20/0.52 % prop_solver_calls: 1
% 0.20/0.52 % prop_fast_solver_calls: 5
% 0.20/0.52 % prop_num_of_clauses: 45
% 0.20/0.52 % prop_preprocess_simplified: 190
% 0.20/0.52 % prop_fo_subsumed: 0
% 0.20/0.52 % prop_solver_time: 0.
% 0.20/0.52 % prop_fast_solver_time: 0.
% 0.20/0.52 % prop_unsat_core_time: 0.
% 0.20/0.52
% 0.20/0.52 % ------ QBF
% 0.20/0.52
% 0.20/0.52 % qbf_q_res: 0
% 0.20/0.52 % qbf_num_tautologies: 0
% 0.20/0.52 % qbf_prep_cycles: 0
% 0.20/0.52
% 0.20/0.52 % ------ BMC1
% 0.20/0.52
% 0.20/0.52 % bmc1_current_bound: -1
% 0.20/0.52 % bmc1_last_solved_bound: -1
% 0.20/0.52 % bmc1_unsat_core_size: -1
% 0.20/0.52 % bmc1_unsat_core_parents_size: -1
% 0.20/0.52 % bmc1_merge_next_fun: 0
% 0.20/0.52 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.52
% 0.20/0.52 % ------ Instantiation
% 0.20/0.52
% 0.20/0.52 % inst_num_of_clauses: 58
% 0.20/0.52 % inst_num_in_passive: 0
% 0.20/0.52 % inst_num_in_active: 0
% 0.20/0.52 % inst_num_in_unprocessed: 58
% 0.20/0.52 % inst_num_of_loops: 0
% 0.20/0.52 % inst_num_of_learning_restarts: 0
% 0.20/0.52 % inst_num_moves_active_passive: 0
% 0.20/0.52 % inst_lit_activity: 0
% 0.20/0.52 % inst_lit_activity_moves: 0
% 0.20/0.52 % inst_num_tautologies: 0
% 0.20/0.52 % inst_num_prop_implied: 0
% 0.20/0.52 % inst_num_existing_simplified: 0
% 0.20/0.52 % inst_num_eq_res_simplified: 0
% 0.20/0.52 % inst_num_child_elim: 0
% 0.20/0.52 % inst_num_of_dismatching_blockings: 0
% 0.20/0.52 % inst_num_of_non_proper_insts: 0
% 0.20/0.52 % inst_num_of_duplicates: 0
% 0.20/0.52 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.52 % inst_dismatching_checking_time: 0.
% 0.20/0.52
% 0.20/0.52 % ------ Resolution
% 0.20/0.52
% 0.20/0.52 % res_num_of_clauses: 368
% 0.20/0.52 % res_num_in_passive: 240
% 0.20/0.52 % res_num_in_active: 86
% 0.20/0.52 % res_num_of_loops: 56
% 0.20/0.52 % res_forward_subset_subsumed: 38
% 0.20/0.52 % res_backward_subset_subsumed: 0
% 0.20/0.52 % res_forward_subsumed: 0
% 0.20/0.52 % res_backward_subsumed: 7
% 0.20/0.52 % res_forward_subsumption_resolution: 3
% 0.20/0.52 % res_backward_subsumption_resolution: 0
% 0.20/0.52 % res_clause_to_clause_subsumption: 3210
% 0.20/0.52 % res_orphan_elimination: 0
% 0.20/0.52 % res_tautology_del: 1
% 0.20/0.52 % res_num_eq_res_simplified: 0
% 0.20/0.52 % res_num_sel_changes: 0
% 0.20/0.52 % res_moves_from_active_to_pass: 0
% 0.20/0.52
% 0.20/0.52 % Status Unsatisfiable
% 0.20/0.52 % SZS status Unsatisfiable
% 0.20/0.52 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------