TSTP Solution File: GEO048-3 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO048-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n008.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 04:40:06 EDT 2022
% Result : Unsatisfiable 152.03s 152.23s
% Output : CNFRefutation 152.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 74
% Syntax : Number of formulae : 506 ( 168 unt; 0 def)
% Number of atoms : 1336 ( 293 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1568 ( 738 ~; 830 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-6 aty)
% Number of variables : 1686 ( 45 sgn 624 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
! [X9,X2,X4,X10,X6,X11] :
( ~ equidistant(X11,X6,X11,X10)
| ~ equidistant(X11,X2,X11,X9)
| ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| equidistant(X11,X4,X11,continuous(X11,X6,X10,X4,X2,X9)) ),
file('<stdin>',continuity2) ).
fof(c_0_1,axiom,
! [X9,X2,X4,X10,X6,X11] :
( ~ equidistant(X11,X6,X11,X10)
| ~ equidistant(X11,X2,X11,X9)
| ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| between(X10,continuous(X11,X6,X10,X4,X2,X9),X9) ),
file('<stdin>',continuity1) ).
fof(c_0_2,axiom,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(euclid1(X11,X6,X4,X2,X1),X1,euclid2(X11,X6,X4,X2,X1)) ),
file('<stdin>',euclid3) ).
fof(c_0_3,axiom,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(X11,X2,euclid2(X11,X6,X4,X2,X1)) ),
file('<stdin>',euclid2) ).
fof(c_0_4,axiom,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(X11,X6,euclid1(X11,X6,X4,X2,X1)) ),
file('<stdin>',euclid1) ).
fof(c_0_5,axiom,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X1,X2,X4)
| between(X2,inner_pasch(X11,X6,X4,X2,X1),X11) ),
file('<stdin>',inner_pasch2) ).
fof(c_0_6,axiom,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X1,X2,X4)
| between(X6,inner_pasch(X11,X6,X4,X2,X1),X1) ),
file('<stdin>',inner_pasch1) ).
fof(c_0_7,axiom,
! [X7,X3,X8,X1,X9,X2,X10,X6] :
( ~ equidistant(X2,X1,X9,X8)
| ~ equidistant(X1,X3,X8,X7)
| ~ equidistant(X2,X6,X9,X10)
| ~ equidistant(X1,X6,X8,X10)
| ~ between(X2,X1,X3)
| ~ between(X9,X8,X7)
| X2 = X1
| equidistant(X3,X6,X7,X10) ),
file('<stdin>',outer_five_segment) ).
fof(c_0_8,axiom,
! [X3,X1,X2,X4,X6] :
( ~ equidistant(X2,X4,X2,X6)
| ~ equidistant(X1,X4,X1,X6)
| ~ equidistant(X3,X4,X3,X6)
| between(X2,X1,X3)
| between(X1,X3,X2)
| between(X3,X2,X1)
| X4 = X6 ),
file('<stdin>',upper_dimension) ).
fof(c_0_9,axiom,
! [X2,X4,X6,X11] : equidistant(X6,extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X4,X2,lower_dimension_point_1,lower_dimension_point_2)),
file('<stdin>',e3_2) ).
fof(c_0_10,axiom,
! [X12,X4,X10,X6,X13,X11] :
( ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X6,X4,X10,X12)
| ~ between(X11,X6,X4)
| ~ between(X13,X10,X12)
| equidistant(X11,X4,X13,X12) ),
file('<stdin>',d8) ).
fof(c_0_11,axiom,
! [X3,X1,X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| ~ equidistant(X4,X2,X1,X3)
| equidistant(X11,X6,X1,X3) ),
file('<stdin>',d5) ).
fof(c_0_12,axiom,
! [X3,X1,X2,X4,X5,X6] :
( ~ equidistant(X2,X1,X3,X6)
| ~ equidistant(X2,X1,X5,X4)
| equidistant(X3,X6,X5,X4) ),
file('<stdin>',transitivity_for_equidistance) ).
fof(c_0_13,axiom,
! [X3,X1,X2,X4,X6,X11] :
( ~ equidistant(X4,X2,X1,X3)
| extension(X11,X6,X4,X2) = extension(X11,X6,X1,X3)
| X11 = X6 ),
file('<stdin>',d10_2) ).
fof(c_0_14,axiom,
! [X1,X2,X4,X6] : equidistant(X1,extension(X2,X1,X4,X6),X4,X6),
file('<stdin>',segment_construction2) ).
fof(c_0_15,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X2,X4,X6,X11) ),
file('<stdin>',d4_5) ).
fof(c_0_16,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X2,X4,X11,X6) ),
file('<stdin>',d4_4) ).
fof(c_0_17,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X4,X2,X6,X11) ),
file('<stdin>',d4_3) ).
fof(c_0_18,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X6,X11,X2,X4) ),
file('<stdin>',d4_2) ).
fof(c_0_19,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X11,X6,X2,X4) ),
file('<stdin>',d4_1) ).
fof(c_0_20,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X6,X11,X4,X2) ),
file('<stdin>',d3) ).
fof(c_0_21,axiom,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X4,X2,X11,X6) ),
file('<stdin>',d2) ).
fof(c_0_22,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X6,X2)
| ~ equidistant(X6,X4,X6,X2)
| X11 = X6
| X4 = X2 ),
file('<stdin>',d9) ).
fof(c_0_23,axiom,
! [X1,X2,X4,X6] : between(X2,X1,extension(X2,X1,X4,X6)),
file('<stdin>',segment_construction1) ).
fof(c_0_24,axiom,
! [X6,X11] : between(X11,X6,extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2)),
file('<stdin>',e3_3) ).
fof(c_0_25,axiom,
! [X6,X11] :
( extension(X11,X6,X11,X6) = extension(X11,X6,X6,X11)
| X11 = X6 ),
file('<stdin>',d10_3) ).
fof(c_0_26,axiom,
! [X1,X2,X4,X6,X11] :
( X1 != extension(X11,X6,X4,X2)
| between(X11,X6,X1) ),
file('<stdin>',b0) ).
fof(c_0_27,axiom,
! [X3,X1,X2] :
( ~ equidistant(X2,X1,X3,X3)
| X2 = X1 ),
file('<stdin>',identity_for_equidistance) ).
fof(c_0_28,axiom,
! [X6,X11] : X6 != extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2),
file('<stdin>',e3_1) ).
fof(c_0_29,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| X11 = X6
| X4 = extension(X11,X6,X6,X4) ),
file('<stdin>',d10_1) ).
fof(c_0_30,axiom,
! [X6,X11] : equidistant(X6,X11,X6,reflection(reflection(X11,X6),X6)),
file('<stdin>',r5) ).
fof(c_0_31,axiom,
! [X6,X11] : equidistant(X6,reflection(X11,X6),X11,X6),
file('<stdin>',r2_2) ).
fof(c_0_32,axiom,
! [X6,X11] : reflection(X11,X6) = extension(X11,X6,X11,X6),
file('<stdin>',reflection) ).
fof(c_0_33,axiom,
! [X4,X6,X11] : X6 = extension(X11,X6,X4,X4),
file('<stdin>',e1) ).
fof(c_0_34,axiom,
! [X6,X11] : equidistant(X11,X11,X6,X6),
file('<stdin>',d7) ).
fof(c_0_35,axiom,
! [X6,X11] : equidistant(X11,X6,X11,X6),
file('<stdin>',d1) ).
fof(c_0_36,axiom,
! [X1,X2] : equidistant(X2,X1,X1,X2),
file('<stdin>',reflexivity_for_equidistance) ).
fof(c_0_37,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X6,X2)
| X6 = X4 ),
file('<stdin>',b7) ).
fof(c_0_38,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X4,X2)
| X6 = X4 ),
file('<stdin>',b6) ).
fof(c_0_39,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X2)
| between(X11,X6,X2) ),
file('<stdin>',b9) ).
fof(c_0_40,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| between(X11,X4,X2) ),
file('<stdin>',b8) ).
fof(c_0_41,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X2)
| between(X6,X4,X2) ),
file('<stdin>',b5) ).
fof(c_0_42,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X6,X4) ),
file('<stdin>',b4) ).
fof(c_0_43,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X6)
| X11 = X6
| X6 = X4 ),
file('<stdin>',t6_2) ).
fof(c_0_44,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X11,X4)
| X11 = X6
| X6 = X4 ),
file('<stdin>',t6_1) ).
fof(c_0_45,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X6)
| X6 = X4 ),
file('<stdin>',b3) ).
fof(c_0_46,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X11,X4)
| X11 = X6 ),
file('<stdin>',b2) ).
fof(c_0_47,axiom,
! [X2,X4,X6,X11] :
( ~ between(X11,X4,X2)
| X11 != X2
| between(X6,X4,X2) ),
file('<stdin>',b1) ).
fof(c_0_48,axiom,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| between(X4,X6,X11) ),
file('<stdin>',t1) ).
fof(c_0_49,axiom,
! [X1,X2] :
( ~ between(X2,X1,X2)
| X2 = X1 ),
file('<stdin>',identity_for_betweeness) ).
fof(c_0_50,axiom,
! [X6,X11] : between(X11,X6,reflection(X11,X6)),
file('<stdin>',r2_1) ).
fof(c_0_51,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
file('<stdin>',lower_dimension3) ).
fof(c_0_52,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
file('<stdin>',lower_dimension2) ).
fof(c_0_53,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
file('<stdin>',lower_dimension1) ).
fof(c_0_54,axiom,
! [X6,X11] : between(X11,X11,X6),
file('<stdin>',t2) ).
fof(c_0_55,axiom,
! [X6,X11] : between(X11,X6,X6),
file('<stdin>',t3) ).
fof(c_0_56,axiom,
! [X6,X11] : X11 = reflection(reflection(X11,X6),X6),
file('<stdin>',r6) ).
fof(c_0_57,axiom,
! [X6,X11] :
( X6 != reflection(X11,X6)
| X11 = X6 ),
file('<stdin>',r4) ).
fof(c_0_58,axiom,
! [X6,X11] :
( X11 != X6
| X6 = reflection(X11,X6) ),
file('<stdin>',r3_1) ).
fof(c_0_59,axiom,
! [X11] : X11 = reflection(X11,X11),
file('<stdin>',r3_2) ).
fof(c_0_60,axiom,
lower_dimension_point_1 != lower_dimension_point_3,
file('<stdin>',e2_3) ).
fof(c_0_61,axiom,
lower_dimension_point_2 != lower_dimension_point_3,
file('<stdin>',e2_2) ).
fof(c_0_62,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
file('<stdin>',e2_1) ).
fof(c_0_63,plain,
! [X9,X2,X4,X10,X6,X11] :
( ~ equidistant(X11,X6,X11,X10)
| ~ equidistant(X11,X2,X11,X9)
| ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| equidistant(X11,X4,X11,continuous(X11,X6,X10,X4,X2,X9)) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_64,plain,
! [X9,X2,X4,X10,X6,X11] :
( ~ equidistant(X11,X6,X11,X10)
| ~ equidistant(X11,X2,X11,X9)
| ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| between(X10,continuous(X11,X6,X10,X4,X2,X9),X9) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_65,plain,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(euclid1(X11,X6,X4,X2,X1),X1,euclid2(X11,X6,X4,X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_66,plain,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(X11,X2,euclid2(X11,X6,X4,X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_67,plain,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X4,X1)
| ~ between(X6,X4,X2)
| X11 = X4
| between(X11,X6,euclid1(X11,X6,X4,X2,X1)) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_68,plain,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X1,X2,X4)
| between(X2,inner_pasch(X11,X6,X4,X2,X1),X11) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_69,plain,
! [X1,X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X1,X2,X4)
| between(X6,inner_pasch(X11,X6,X4,X2,X1),X1) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_70,plain,
! [X7,X3,X8,X1,X9,X2,X10,X6] :
( ~ equidistant(X2,X1,X9,X8)
| ~ equidistant(X1,X3,X8,X7)
| ~ equidistant(X2,X6,X9,X10)
| ~ equidistant(X1,X6,X8,X10)
| ~ between(X2,X1,X3)
| ~ between(X9,X8,X7)
| X2 = X1
| equidistant(X3,X6,X7,X10) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_71,plain,
! [X3,X1,X2,X4,X6] :
( ~ equidistant(X2,X4,X2,X6)
| ~ equidistant(X1,X4,X1,X6)
| ~ equidistant(X3,X4,X3,X6)
| between(X2,X1,X3)
| between(X1,X3,X2)
| between(X3,X2,X1)
| X4 = X6 ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_72,axiom,
! [X2,X4,X6,X11] : equidistant(X6,extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2),X2,extension(X4,X2,lower_dimension_point_1,lower_dimension_point_2)),
c_0_9 ).
fof(c_0_73,plain,
! [X12,X4,X10,X6,X13,X11] :
( ~ equidistant(X11,X6,X13,X10)
| ~ equidistant(X6,X4,X10,X12)
| ~ between(X11,X6,X4)
| ~ between(X13,X10,X12)
| equidistant(X11,X4,X13,X12) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_74,plain,
! [X3,X1,X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| ~ equidistant(X4,X2,X1,X3)
| equidistant(X11,X6,X1,X3) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_75,plain,
! [X3,X1,X2,X4,X5,X6] :
( ~ equidistant(X2,X1,X3,X6)
| ~ equidistant(X2,X1,X5,X4)
| equidistant(X3,X6,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_76,plain,
! [X3,X1,X2,X4,X6,X11] :
( ~ equidistant(X4,X2,X1,X3)
| extension(X11,X6,X4,X2) = extension(X11,X6,X1,X3)
| X11 = X6 ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_77,axiom,
! [X1,X2,X4,X6] : equidistant(X1,extension(X2,X1,X4,X6),X4,X6),
c_0_14 ).
fof(c_0_78,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X2,X4,X6,X11) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_79,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X2,X4,X11,X6) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_80,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X4,X2,X6,X11) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_81,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X6,X11,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_82,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X11,X6,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_83,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X6,X11,X4,X2) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_84,plain,
! [X2,X4,X6,X11] :
( ~ equidistant(X11,X6,X4,X2)
| equidistant(X4,X2,X11,X6) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_85,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X6,X2)
| ~ equidistant(X6,X4,X6,X2)
| X11 = X6
| X4 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_86,axiom,
! [X1,X2,X4,X6] : between(X2,X1,extension(X2,X1,X4,X6)),
c_0_23 ).
fof(c_0_87,axiom,
! [X6,X11] : between(X11,X6,extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2)),
c_0_24 ).
fof(c_0_88,axiom,
! [X6,X11] :
( extension(X11,X6,X11,X6) = extension(X11,X6,X6,X11)
| X11 = X6 ),
c_0_25 ).
fof(c_0_89,axiom,
! [X1,X2,X4,X6,X11] :
( X1 != extension(X11,X6,X4,X2)
| between(X11,X6,X1) ),
c_0_26 ).
fof(c_0_90,plain,
! [X3,X1,X2] :
( ~ equidistant(X2,X1,X3,X3)
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_91,axiom,
! [X6,X11] : X6 != extension(X11,X6,lower_dimension_point_1,lower_dimension_point_2),
c_0_28 ).
fof(c_0_92,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| X11 = X6
| X4 = extension(X11,X6,X6,X4) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_93,axiom,
! [X6,X11] : equidistant(X6,X11,X6,reflection(reflection(X11,X6),X6)),
c_0_30 ).
fof(c_0_94,axiom,
! [X6,X11] : equidistant(X6,reflection(X11,X6),X11,X6),
c_0_31 ).
fof(c_0_95,axiom,
! [X6,X11] : reflection(X11,X6) = extension(X11,X6,X11,X6),
c_0_32 ).
fof(c_0_96,axiom,
! [X4,X6,X11] : X6 = extension(X11,X6,X4,X4),
c_0_33 ).
fof(c_0_97,axiom,
! [X6,X11] : equidistant(X11,X11,X6,X6),
c_0_34 ).
fof(c_0_98,axiom,
! [X6,X11] : equidistant(X11,X6,X11,X6),
c_0_35 ).
fof(c_0_99,axiom,
! [X1,X2] : equidistant(X2,X1,X1,X2),
c_0_36 ).
fof(c_0_100,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X6,X2)
| X6 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_101,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X4,X2)
| X6 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_102,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X2)
| between(X11,X6,X2) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_103,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X2)
| ~ between(X6,X4,X2)
| between(X11,X4,X2) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_104,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X2)
| between(X6,X4,X2) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_105,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X4,X2)
| between(X11,X6,X4) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_106,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X6)
| X11 = X6
| X6 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_107,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X11,X4)
| X11 = X6
| X6 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_108,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X11,X4,X6)
| X6 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_109,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| ~ between(X6,X11,X4)
| X11 = X6 ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_110,plain,
! [X2,X4,X6,X11] :
( ~ between(X11,X4,X2)
| X11 != X2
| between(X6,X4,X2) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_111,plain,
! [X4,X6,X11] :
( ~ between(X11,X6,X4)
| between(X4,X6,X11) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_112,plain,
! [X1,X2] :
( ~ between(X2,X1,X2)
| X2 = X1 ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_113,axiom,
! [X6,X11] : between(X11,X6,reflection(X11,X6)),
c_0_50 ).
fof(c_0_114,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_115,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_116,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_117,axiom,
! [X6,X11] : between(X11,X11,X6),
c_0_54 ).
fof(c_0_118,axiom,
! [X6,X11] : between(X11,X6,X6),
c_0_55 ).
fof(c_0_119,axiom,
! [X6,X11] : X11 = reflection(reflection(X11,X6),X6),
c_0_56 ).
fof(c_0_120,axiom,
! [X6,X11] :
( X6 != reflection(X11,X6)
| X11 = X6 ),
c_0_57 ).
fof(c_0_121,axiom,
! [X6,X11] :
( X11 != X6
| X6 = reflection(X11,X6) ),
c_0_58 ).
fof(c_0_122,axiom,
! [X11] : X11 = reflection(X11,X11),
c_0_59 ).
fof(c_0_123,axiom,
lower_dimension_point_1 != lower_dimension_point_3,
c_0_60 ).
fof(c_0_124,axiom,
lower_dimension_point_2 != lower_dimension_point_3,
c_0_61 ).
fof(c_0_125,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
c_0_62 ).
fof(c_0_126,plain,
! [X12,X13,X14,X15,X16,X17] :
( ~ equidistant(X17,X16,X17,X15)
| ~ equidistant(X17,X13,X17,X12)
| ~ between(X17,X16,X13)
| ~ between(X16,X14,X13)
| equidistant(X17,X14,X17,continuous(X17,X16,X15,X14,X13,X12)) ),
inference(variable_rename,[status(thm)],[c_0_63]) ).
fof(c_0_127,plain,
! [X12,X13,X14,X15,X16,X17] :
( ~ equidistant(X17,X16,X17,X15)
| ~ equidistant(X17,X13,X17,X12)
| ~ between(X17,X16,X13)
| ~ between(X16,X14,X13)
| between(X15,continuous(X17,X16,X15,X14,X13,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_64]) ).
fof(c_0_128,plain,
! [X12,X13,X14,X15,X16] :
( ~ between(X16,X14,X12)
| ~ between(X15,X14,X13)
| X16 = X14
| between(euclid1(X16,X15,X14,X13,X12),X12,euclid2(X16,X15,X14,X13,X12)) ),
inference(variable_rename,[status(thm)],[c_0_65]) ).
fof(c_0_129,plain,
! [X12,X13,X14,X15,X16] :
( ~ between(X16,X14,X12)
| ~ between(X15,X14,X13)
| X16 = X14
| between(X16,X13,euclid2(X16,X15,X14,X13,X12)) ),
inference(variable_rename,[status(thm)],[c_0_66]) ).
fof(c_0_130,plain,
! [X12,X13,X14,X15,X16] :
( ~ between(X16,X14,X12)
| ~ between(X15,X14,X13)
| X16 = X14
| between(X16,X15,euclid1(X16,X15,X14,X13,X12)) ),
inference(variable_rename,[status(thm)],[c_0_67]) ).
fof(c_0_131,plain,
! [X12,X13,X14,X15,X16] :
( ~ between(X16,X15,X14)
| ~ between(X12,X13,X14)
| between(X13,inner_pasch(X16,X15,X14,X13,X12),X16) ),
inference(variable_rename,[status(thm)],[c_0_68]) ).
fof(c_0_132,plain,
! [X12,X13,X14,X15,X16] :
( ~ between(X16,X15,X14)
| ~ between(X12,X13,X14)
| between(X15,inner_pasch(X16,X15,X14,X13,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_69]) ).
fof(c_0_133,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_70])])]) ).
fof(c_0_134,plain,
! [X7,X8,X9,X10,X11] :
( ~ equidistant(X9,X10,X9,X11)
| ~ equidistant(X8,X10,X8,X11)
| ~ equidistant(X7,X10,X7,X11)
| between(X9,X8,X7)
| between(X8,X7,X9)
| between(X7,X9,X8)
| X10 = X11 ),
inference(variable_rename,[status(thm)],[c_0_71]) ).
fof(c_0_135,plain,
! [X12,X13,X14,X15] : equidistant(X14,extension(X15,X14,lower_dimension_point_1,lower_dimension_point_2),X12,extension(X13,X12,lower_dimension_point_1,lower_dimension_point_2)),
inference(variable_rename,[status(thm)],[c_0_72]) ).
fof(c_0_136,plain,
! [X14,X15,X16,X17,X18,X19] :
( ~ equidistant(X19,X17,X18,X16)
| ~ equidistant(X17,X15,X16,X14)
| ~ between(X19,X17,X15)
| ~ between(X18,X16,X14)
| equidistant(X19,X15,X18,X14) ),
inference(variable_rename,[status(thm)],[c_0_73]) ).
fof(c_0_137,plain,
! [X12,X13,X14,X15,X16,X17] :
( ~ equidistant(X17,X16,X15,X14)
| ~ equidistant(X15,X14,X13,X12)
| equidistant(X17,X16,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_74]) ).
fof(c_0_138,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ equidistant(X9,X8,X7,X12)
| ~ equidistant(X9,X8,X11,X10)
| equidistant(X7,X12,X11,X10) ),
inference(variable_rename,[status(thm)],[c_0_75]) ).
fof(c_0_139,plain,
! [X12,X13,X14,X15,X16,X17] :
( ~ equidistant(X15,X14,X13,X12)
| extension(X17,X16,X15,X14) = extension(X17,X16,X13,X12)
| X17 = X16 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_76])])]) ).
fof(c_0_140,plain,
! [X7,X8,X9,X10] : equidistant(X7,extension(X8,X7,X9,X10),X9,X10),
inference(variable_rename,[status(thm)],[c_0_77]) ).
fof(c_0_141,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X12,X13,X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_78]) ).
fof(c_0_142,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X12,X13,X15,X14) ),
inference(variable_rename,[status(thm)],[c_0_79]) ).
fof(c_0_143,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X13,X12,X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_80]) ).
fof(c_0_144,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X14,X15,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_81]) ).
fof(c_0_145,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X15,X14,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_82]) ).
fof(c_0_146,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X14,X15,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_83]) ).
fof(c_0_147,plain,
! [X12,X13,X14,X15] :
( ~ equidistant(X15,X14,X13,X12)
| equidistant(X13,X12,X15,X14) ),
inference(variable_rename,[status(thm)],[c_0_84]) ).
fof(c_0_148,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X15,X14,X12)
| ~ equidistant(X14,X13,X14,X12)
| X15 = X14
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_85]) ).
fof(c_0_149,plain,
! [X7,X8,X9,X10] : between(X8,X7,extension(X8,X7,X9,X10)),
inference(variable_rename,[status(thm)],[c_0_86]) ).
fof(c_0_150,plain,
! [X12,X13] : between(X13,X12,extension(X13,X12,lower_dimension_point_1,lower_dimension_point_2)),
inference(variable_rename,[status(thm)],[c_0_87]) ).
fof(c_0_151,plain,
! [X12,X13] :
( extension(X13,X12,X13,X12) = extension(X13,X12,X12,X13)
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_88]) ).
fof(c_0_152,plain,
! [X12,X13,X14,X15,X16] :
( X12 != extension(X16,X15,X14,X13)
| between(X16,X15,X12) ),
inference(variable_rename,[status(thm)],[c_0_89]) ).
fof(c_0_153,plain,
! [X4,X5,X6] :
( ~ equidistant(X6,X5,X4,X4)
| X6 = X5 ),
inference(variable_rename,[status(thm)],[c_0_90]) ).
fof(c_0_154,plain,
! [X12,X13] : X12 != extension(X13,X12,lower_dimension_point_1,lower_dimension_point_2),
inference(variable_rename,[status(thm)],[c_0_91]) ).
fof(c_0_155,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| X14 = X13
| X12 = extension(X14,X13,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_92]) ).
fof(c_0_156,plain,
! [X12,X13] : equidistant(X12,X13,X12,reflection(reflection(X13,X12),X12)),
inference(variable_rename,[status(thm)],[c_0_93]) ).
fof(c_0_157,plain,
! [X12,X13] : equidistant(X12,reflection(X13,X12),X13,X12),
inference(variable_rename,[status(thm)],[c_0_94]) ).
fof(c_0_158,plain,
! [X12,X13] : reflection(X13,X12) = extension(X13,X12,X13,X12),
inference(variable_rename,[status(thm)],[c_0_95]) ).
fof(c_0_159,plain,
! [X12,X13,X14] : X13 = extension(X14,X13,X12,X12),
inference(variable_rename,[status(thm)],[c_0_96]) ).
fof(c_0_160,plain,
! [X12,X13] : equidistant(X13,X13,X12,X12),
inference(variable_rename,[status(thm)],[c_0_97]) ).
fof(c_0_161,plain,
! [X12,X13] : equidistant(X13,X12,X13,X12),
inference(variable_rename,[status(thm)],[c_0_98]) ).
fof(c_0_162,plain,
! [X3,X4] : equidistant(X4,X3,X3,X4),
inference(variable_rename,[status(thm)],[c_0_99]) ).
fof(c_0_163,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X14,X13,X12)
| between(X15,X14,X12)
| X14 = X13 ),
inference(variable_rename,[status(thm)],[c_0_100]) ).
fof(c_0_164,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X14,X13,X12)
| between(X15,X13,X12)
| X14 = X13 ),
inference(variable_rename,[status(thm)],[c_0_101]) ).
fof(c_0_165,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X15,X13,X12)
| between(X15,X14,X12) ),
inference(variable_rename,[status(thm)],[c_0_102]) ).
fof(c_0_166,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X12)
| ~ between(X14,X13,X12)
| between(X15,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_103]) ).
fof(c_0_167,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X15,X13,X12)
| between(X14,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_104]) ).
fof(c_0_168,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X14,X13)
| ~ between(X14,X13,X12)
| between(X15,X14,X13) ),
inference(variable_rename,[status(thm)],[c_0_105]) ).
fof(c_0_169,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| ~ between(X14,X12,X13)
| X14 = X13
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_106]) ).
fof(c_0_170,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| ~ between(X13,X14,X12)
| X14 = X13
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_107]) ).
fof(c_0_171,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| ~ between(X14,X12,X13)
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_108]) ).
fof(c_0_172,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| ~ between(X13,X14,X12)
| X14 = X13 ),
inference(variable_rename,[status(thm)],[c_0_109]) ).
fof(c_0_173,plain,
! [X12,X13,X14,X15] :
( ~ between(X15,X13,X12)
| X15 != X12
| between(X14,X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_110]) ).
fof(c_0_174,plain,
! [X12,X13,X14] :
( ~ between(X14,X13,X12)
| between(X12,X13,X14) ),
inference(variable_rename,[status(thm)],[c_0_111]) ).
fof(c_0_175,plain,
! [X3,X4] :
( ~ between(X4,X3,X4)
| X4 = X3 ),
inference(variable_rename,[status(thm)],[c_0_112]) ).
fof(c_0_176,plain,
! [X12,X13] : between(X13,X12,reflection(X13,X12)),
inference(variable_rename,[status(thm)],[c_0_113]) ).
fof(c_0_177,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
c_0_114 ).
fof(c_0_178,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
c_0_115 ).
fof(c_0_179,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
c_0_116 ).
fof(c_0_180,plain,
! [X12,X13] : between(X13,X13,X12),
inference(variable_rename,[status(thm)],[c_0_117]) ).
fof(c_0_181,plain,
! [X12,X13] : between(X13,X12,X12),
inference(variable_rename,[status(thm)],[c_0_118]) ).
fof(c_0_182,plain,
! [X12,X13] : X13 = reflection(reflection(X13,X12),X12),
inference(variable_rename,[status(thm)],[c_0_119]) ).
fof(c_0_183,plain,
! [X12,X13] :
( X12 != reflection(X13,X12)
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_120]) ).
fof(c_0_184,plain,
! [X12,X13] :
( X13 != X12
| X12 = reflection(X13,X12) ),
inference(variable_rename,[status(thm)],[c_0_121]) ).
fof(c_0_185,plain,
! [X12] : X12 = reflection(X12,X12),
inference(variable_rename,[status(thm)],[c_0_122]) ).
fof(c_0_186,axiom,
lower_dimension_point_1 != lower_dimension_point_3,
c_0_123 ).
fof(c_0_187,axiom,
lower_dimension_point_2 != lower_dimension_point_3,
c_0_124 ).
fof(c_0_188,axiom,
lower_dimension_point_1 != lower_dimension_point_2,
c_0_125 ).
cnf(c_0_189,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_126]) ).
cnf(c_0_190,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_127]) ).
cnf(c_0_191,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_128]) ).
cnf(c_0_192,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_129]) ).
cnf(c_0_193,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_130]) ).
cnf(c_0_194,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_131]) ).
cnf(c_0_195,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_132]) ).
cnf(c_0_196,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_133]) ).
cnf(c_0_197,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_134]) ).
cnf(c_0_198,plain,
equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_199,plain,
( equidistant(X1,X2,X3,X4)
| ~ between(X3,X5,X4)
| ~ between(X1,X6,X2)
| ~ equidistant(X6,X2,X5,X4)
| ~ equidistant(X1,X6,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_136]) ).
cnf(c_0_200,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_201,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_202,plain,
( X1 = X2
| extension(X1,X2,X3,X4) = extension(X1,X2,X5,X6)
| ~ equidistant(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_203,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_204,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_205,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_206,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_207,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_208,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_209,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_210,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_211,plain,
( X1 = X2
| X3 = X4
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X3,X4,X2)
| ~ between(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_212,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_213,plain,
between(X1,X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_214,plain,
( X1 = X2
| extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_215,plain,
( between(X1,X2,X3)
| X3 != extension(X1,X2,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_216,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_217,plain,
X1 != extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_218,plain,
( X1 = extension(X2,X3,X3,X1)
| X2 = X3
| ~ between(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_219,plain,
equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_220,plain,
equidistant(X1,reflection(X2,X1),X2,X1),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_221,plain,
reflection(X1,X2) = extension(X1,X2,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_222,plain,
X1 = extension(X2,X1,X3,X3),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_223,plain,
equidistant(X1,X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_224,plain,
equidistant(X1,X2,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_225,plain,
equidistant(X1,X2,X2,X1),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_226,plain,
( X1 = X2
| between(X3,X1,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_227,plain,
( X1 = X2
| between(X3,X2,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_228,plain,
( between(X1,X2,X3)
| ~ between(X1,X4,X3)
| ~ between(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_229,plain,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_230,plain,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_231,plain,
( between(X1,X2,X3)
| ~ between(X2,X3,X4)
| ~ between(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_232,plain,
( X1 = X2
| X3 = X1
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_233,plain,
( X1 = X2
| X3 = X1
| ~ between(X1,X3,X2)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_234,plain,
( X1 = X2
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_235,plain,
( X1 = X2
| ~ between(X2,X1,X3)
| ~ between(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_236,plain,
( between(X1,X2,X3)
| X4 != X3
| ~ between(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_237,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_238,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_239,plain,
between(X1,X2,reflection(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_240,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_241,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_242,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_243,plain,
between(X1,X1,X2),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_244,plain,
between(X1,X2,X2),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_245,plain,
X1 = reflection(reflection(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_246,plain,
( X1 = X2
| X2 != reflection(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_247,plain,
( X1 = reflection(X2,X1)
| X2 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_248,plain,
X1 = reflection(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_249,plain,
lower_dimension_point_1 != lower_dimension_point_3,
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_250,plain,
lower_dimension_point_2 != lower_dimension_point_3,
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_251,plain,
lower_dimension_point_1 != lower_dimension_point_2,
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_252,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_189,
[final] ).
cnf(c_0_253,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_190,
[final] ).
cnf(c_0_254,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_191,
[final] ).
cnf(c_0_255,plain,
( between(X1,X2,euclid2(X1,X3,X4,X2,X5))
| X1 = X4
| ~ between(X3,X4,X2)
| ~ between(X1,X4,X5) ),
c_0_192,
[final] ).
cnf(c_0_256,plain,
( between(X1,X2,euclid1(X1,X2,X3,X4,X5))
| X1 = X3
| ~ between(X2,X3,X4)
| ~ between(X1,X3,X5) ),
c_0_193,
[final] ).
cnf(c_0_257,plain,
( between(X1,inner_pasch(X2,X3,X4,X1,X5),X2)
| ~ between(X5,X1,X4)
| ~ between(X2,X3,X4) ),
c_0_194,
[final] ).
cnf(c_0_258,plain,
( between(X1,inner_pasch(X2,X1,X3,X4,X5),X5)
| ~ between(X5,X4,X3)
| ~ between(X2,X1,X3) ),
c_0_195,
[final] ).
cnf(c_0_259,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_196,
[final] ).
cnf(c_0_260,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_197,
[final] ).
cnf(c_0_261,plain,
equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)),
c_0_198,
[final] ).
cnf(c_0_262,plain,
( equidistant(X1,X2,X3,X4)
| ~ between(X3,X5,X4)
| ~ between(X1,X6,X2)
| ~ equidistant(X6,X2,X5,X4)
| ~ equidistant(X1,X6,X3,X5) ),
c_0_199,
[final] ).
cnf(c_0_263,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
c_0_200,
[final] ).
cnf(c_0_264,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
c_0_201,
[final] ).
cnf(c_0_265,plain,
( X1 = X2
| extension(X1,X2,X3,X4) = extension(X1,X2,X5,X6)
| ~ equidistant(X3,X4,X5,X6) ),
c_0_202,
[final] ).
cnf(c_0_266,plain,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
c_0_203,
[final] ).
cnf(c_0_267,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X2,X1) ),
c_0_204,
[final] ).
cnf(c_0_268,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X2,X1) ),
c_0_205,
[final] ).
cnf(c_0_269,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
c_0_206,
[final] ).
cnf(c_0_270,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X4,X3) ),
c_0_207,
[final] ).
cnf(c_0_271,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X4,X3) ),
c_0_208,
[final] ).
cnf(c_0_272,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X3,X4) ),
c_0_209,
[final] ).
cnf(c_0_273,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
c_0_210,
[final] ).
cnf(c_0_274,plain,
( X1 = X2
| X3 = X4
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X3,X4,X2)
| ~ between(X3,X4,X1) ),
c_0_211,
[final] ).
cnf(c_0_275,plain,
between(X1,X2,extension(X1,X2,X3,X4)),
c_0_212,
[final] ).
cnf(c_0_276,plain,
between(X1,X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)),
c_0_213,
[final] ).
cnf(c_0_277,plain,
( X1 = X2
| extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1) ),
c_0_214,
[final] ).
cnf(c_0_278,plain,
( between(X1,X2,X3)
| X3 != extension(X1,X2,X4,X5) ),
c_0_215,
[final] ).
cnf(c_0_279,plain,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
c_0_216,
[final] ).
cnf(c_0_280,plain,
extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2) != X1,
c_0_217,
[final] ).
cnf(c_0_281,plain,
( extension(X2,X3,X3,X1) = X1
| X2 = X3
| ~ between(X2,X3,X1) ),
c_0_218,
[final] ).
cnf(c_0_282,plain,
equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
c_0_219,
[final] ).
cnf(c_0_283,plain,
equidistant(X1,reflection(X2,X1),X2,X1),
c_0_220,
[final] ).
cnf(c_0_284,plain,
extension(X1,X2,X1,X2) = reflection(X1,X2),
c_0_221,
[final] ).
cnf(c_0_285,plain,
extension(X2,X1,X3,X3) = X1,
c_0_222,
[final] ).
cnf(c_0_286,plain,
equidistant(X1,X1,X2,X2),
c_0_223,
[final] ).
cnf(c_0_287,plain,
equidistant(X1,X2,X1,X2),
c_0_224,
[final] ).
cnf(c_0_288,plain,
equidistant(X1,X2,X2,X1),
c_0_225,
[final] ).
cnf(c_0_289,plain,
( X1 = X2
| between(X3,X1,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
c_0_226,
[final] ).
cnf(c_0_290,plain,
( X1 = X2
| between(X3,X2,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
c_0_227,
[final] ).
cnf(c_0_291,plain,
( between(X1,X2,X3)
| ~ between(X1,X4,X3)
| ~ between(X1,X2,X4) ),
c_0_228,
[final] ).
cnf(c_0_292,plain,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X1,X4,X3) ),
c_0_229,
[final] ).
cnf(c_0_293,plain,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X4,X1,X2) ),
c_0_230,
[final] ).
cnf(c_0_294,plain,
( between(X1,X2,X3)
| ~ between(X2,X3,X4)
| ~ between(X1,X2,X3) ),
c_0_231,
[final] ).
cnf(c_0_295,plain,
( X1 = X2
| X3 = X1
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
c_0_232,
[final] ).
cnf(c_0_296,plain,
( X1 = X2
| X3 = X1
| ~ between(X1,X3,X2)
| ~ between(X3,X1,X2) ),
c_0_233,
[final] ).
cnf(c_0_297,plain,
( X1 = X2
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
c_0_234,
[final] ).
cnf(c_0_298,plain,
( X1 = X2
| ~ between(X2,X1,X3)
| ~ between(X1,X2,X3) ),
c_0_235,
[final] ).
cnf(c_0_299,plain,
( between(X1,X2,X3)
| X4 != X3
| ~ between(X4,X2,X3) ),
c_0_236,
[final] ).
cnf(c_0_300,plain,
( between(X1,X2,X3)
| ~ between(X3,X2,X1) ),
c_0_237,
[final] ).
cnf(c_0_301,plain,
( X1 = X2
| ~ between(X1,X2,X1) ),
c_0_238,
[final] ).
cnf(c_0_302,plain,
between(X1,X2,reflection(X1,X2)),
c_0_239,
[final] ).
cnf(c_0_303,plain,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
c_0_240,
[final] ).
cnf(c_0_304,plain,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
c_0_241,
[final] ).
cnf(c_0_305,plain,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
c_0_242,
[final] ).
cnf(c_0_306,plain,
between(X1,X1,X2),
c_0_243,
[final] ).
cnf(c_0_307,plain,
between(X1,X2,X2),
c_0_244,
[final] ).
cnf(c_0_308,plain,
reflection(reflection(X1,X2),X2) = X1,
c_0_245,
[final] ).
cnf(c_0_309,plain,
( X1 = X2
| reflection(X1,X2) != X2 ),
c_0_246,
[final] ).
cnf(c_0_310,plain,
( reflection(X2,X1) = X1
| X2 != X1 ),
c_0_247,
[final] ).
cnf(c_0_311,plain,
reflection(X1,X1) = X1,
c_0_248,
[final] ).
cnf(c_0_312,plain,
lower_dimension_point_3 != lower_dimension_point_1,
c_0_249,
[final] ).
cnf(c_0_313,plain,
lower_dimension_point_3 != lower_dimension_point_2,
c_0_250,
[final] ).
cnf(c_0_314,plain,
lower_dimension_point_2 != lower_dimension_point_1,
c_0_251,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_252_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_252]) ).
cnf(c_0_252_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_252]) ).
cnf(c_0_252_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_252]) ).
cnf(c_0_252_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_252]) ).
cnf(c_0_252_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_252]) ).
cnf(c_0_253_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_253]) ).
cnf(c_0_253_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_253]) ).
cnf(c_0_253_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_253]) ).
cnf(c_0_253_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_253]) ).
cnf(c_0_253_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_253]) ).
cnf(c_0_254_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_254]) ).
cnf(c_0_254_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_254]) ).
cnf(c_0_254_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_254]) ).
cnf(c_0_254_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_254]) ).
cnf(c_0_255_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_255]) ).
cnf(c_0_255_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_255]) ).
cnf(c_0_255_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_255]) ).
cnf(c_0_255_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_255]) ).
cnf(c_0_256_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_256]) ).
cnf(c_0_256_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_256]) ).
cnf(c_0_256_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_256]) ).
cnf(c_0_256_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_256]) ).
cnf(c_0_257_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_257]) ).
cnf(c_0_257_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_257]) ).
cnf(c_0_257_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_257]) ).
cnf(c_0_258_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_258]) ).
cnf(c_0_258_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_258]) ).
cnf(c_0_258_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_258]) ).
cnf(c_0_259_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_259]) ).
cnf(c_0_259_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_259]) ).
cnf(c_0_259_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_259]) ).
cnf(c_0_259_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_259]) ).
cnf(c_0_259_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_259]) ).
cnf(c_0_259_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_259]) ).
cnf(c_0_259_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_259]) ).
cnf(c_0_259_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_259]) ).
cnf(c_0_260_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_260]) ).
cnf(c_0_260_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_260]) ).
cnf(c_0_260_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_260]) ).
cnf(c_0_260_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_260]) ).
cnf(c_0_260_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_260]) ).
cnf(c_0_260_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_260]) ).
cnf(c_0_260_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_260]) ).
cnf(c_0_262_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ between(X3,X5,X4)
| ~ between(X1,X6,X2)
| ~ equidistant(X6,X2,X5,X4)
| ~ equidistant(X1,X6,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_262]) ).
cnf(c_0_262_1,axiom,
( ~ between(X3,X5,X4)
| equidistant(X1,X2,X3,X4)
| ~ between(X1,X6,X2)
| ~ equidistant(X6,X2,X5,X4)
| ~ equidistant(X1,X6,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_262]) ).
cnf(c_0_262_2,axiom,
( ~ between(X1,X6,X2)
| ~ between(X3,X5,X4)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X6,X2,X5,X4)
| ~ equidistant(X1,X6,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_262]) ).
cnf(c_0_262_3,axiom,
( ~ equidistant(X6,X2,X5,X4)
| ~ between(X1,X6,X2)
| ~ between(X3,X5,X4)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X6,X3,X5) ),
inference(literals_permutation,[status(thm)],[c_0_262]) ).
cnf(c_0_262_4,axiom,
( ~ equidistant(X1,X6,X3,X5)
| ~ equidistant(X6,X2,X5,X4)
| ~ between(X1,X6,X2)
| ~ between(X3,X5,X4)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_262]) ).
cnf(c_0_263_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_263_1,axiom,
( ~ equidistant(X5,X6,X3,X4)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_263_2,axiom,
( ~ equidistant(X1,X2,X5,X6)
| ~ equidistant(X5,X6,X3,X4)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_263]) ).
cnf(c_0_264_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_264_1,axiom,
( ~ equidistant(X5,X6,X3,X4)
| equidistant(X1,X2,X3,X4)
| ~ equidistant(X5,X6,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_264_2,axiom,
( ~ equidistant(X5,X6,X1,X2)
| ~ equidistant(X5,X6,X3,X4)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_264]) ).
cnf(c_0_265_0,axiom,
( X1 = X2
| extension(X1,X2,X3,X4) = extension(X1,X2,X5,X6)
| ~ equidistant(X3,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_265_1,axiom,
( extension(X1,X2,X3,X4) = extension(X1,X2,X5,X6)
| X1 = X2
| ~ equidistant(X3,X4,X5,X6) ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_265_2,axiom,
( ~ equidistant(X3,X4,X5,X6)
| extension(X1,X2,X3,X4) = extension(X1,X2,X5,X6)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_265]) ).
cnf(c_0_267_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_267]) ).
cnf(c_0_267_1,axiom,
( ~ equidistant(X4,X3,X2,X1)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_267]) ).
cnf(c_0_268_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_268]) ).
cnf(c_0_268_1,axiom,
( ~ equidistant(X3,X4,X2,X1)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_268]) ).
cnf(c_0_269_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_269]) ).
cnf(c_0_269_1,axiom,
( ~ equidistant(X4,X3,X1,X2)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_269]) ).
cnf(c_0_270_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_270]) ).
cnf(c_0_270_1,axiom,
( ~ equidistant(X2,X1,X4,X3)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_270]) ).
cnf(c_0_271_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_271_1,axiom,
( ~ equidistant(X1,X2,X4,X3)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_271]) ).
cnf(c_0_272_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X2,X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_272_1,axiom,
( ~ equidistant(X2,X1,X3,X4)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_272]) ).
cnf(c_0_273_0,axiom,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X3,X4,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_273_1,axiom,
( ~ equidistant(X3,X4,X1,X2)
| equidistant(X1,X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_273]) ).
cnf(c_0_274_0,axiom,
( X1 = X2
| X3 = X4
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X3,X4,X2)
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_1,axiom,
( X3 = X4
| X1 = X2
| ~ equidistant(X4,X1,X4,X2)
| ~ between(X3,X4,X2)
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_2,axiom,
( ~ equidistant(X4,X1,X4,X2)
| X3 = X4
| X1 = X2
| ~ between(X3,X4,X2)
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_3,axiom,
( ~ between(X3,X4,X2)
| ~ equidistant(X4,X1,X4,X2)
| X3 = X4
| X1 = X2
| ~ between(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_274_4,axiom,
( ~ between(X3,X4,X1)
| ~ between(X3,X4,X2)
| ~ equidistant(X4,X1,X4,X2)
| X3 = X4
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_274]) ).
cnf(c_0_277_0,axiom,
( X1 = X2
| extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_277_1,axiom,
( extension(X1,X2,X1,X2) = extension(X1,X2,X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_277]) ).
cnf(c_0_278_0,axiom,
( between(X1,X2,X3)
| X3 != extension(X1,X2,X4,X5) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_278_1,axiom,
( X3 != extension(X1,X2,X4,X5)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_278]) ).
cnf(c_0_279_0,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_279_1,axiom,
( ~ equidistant(X1,X2,X3,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_279]) ).
cnf(c_0_281_0,axiom,
( extension(X2,X3,X3,X1) = X1
| X2 = X3
| ~ between(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_1,axiom,
( X2 = X3
| extension(X2,X3,X3,X1) = X1
| ~ between(X2,X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_281_2,axiom,
( ~ between(X2,X3,X1)
| X2 = X3
| extension(X2,X3,X3,X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_281]) ).
cnf(c_0_289_0,axiom,
( X1 = X2
| between(X3,X1,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_289_1,axiom,
( between(X3,X1,X4)
| X1 = X2
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_289_2,axiom,
( ~ between(X1,X2,X4)
| between(X3,X1,X4)
| X1 = X2
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_289_3,axiom,
( ~ between(X3,X1,X2)
| ~ between(X1,X2,X4)
| between(X3,X1,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_289]) ).
cnf(c_0_290_0,axiom,
( X1 = X2
| between(X3,X2,X4)
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_290_1,axiom,
( between(X3,X2,X4)
| X1 = X2
| ~ between(X1,X2,X4)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_290_2,axiom,
( ~ between(X1,X2,X4)
| between(X3,X2,X4)
| X1 = X2
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_290_3,axiom,
( ~ between(X3,X1,X2)
| ~ between(X1,X2,X4)
| between(X3,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_290]) ).
cnf(c_0_291_0,axiom,
( between(X1,X2,X3)
| ~ between(X1,X4,X3)
| ~ between(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_1,axiom,
( ~ between(X1,X4,X3)
| between(X1,X2,X3)
| ~ between(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_291_2,axiom,
( ~ between(X1,X2,X4)
| ~ between(X1,X4,X3)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_291]) ).
cnf(c_0_292_0,axiom,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_292_1,axiom,
( ~ between(X4,X2,X3)
| between(X1,X2,X3)
| ~ between(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_292_2,axiom,
( ~ between(X1,X4,X3)
| ~ between(X4,X2,X3)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_292]) ).
cnf(c_0_293_0,axiom,
( between(X1,X2,X3)
| ~ between(X4,X2,X3)
| ~ between(X4,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_1,axiom,
( ~ between(X4,X2,X3)
| between(X1,X2,X3)
| ~ between(X4,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_293_2,axiom,
( ~ between(X4,X1,X2)
| ~ between(X4,X2,X3)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_293]) ).
cnf(c_0_294_0,axiom,
( between(X1,X2,X3)
| ~ between(X2,X3,X4)
| ~ between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_1,axiom,
( ~ between(X2,X3,X4)
| between(X1,X2,X3)
| ~ between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_294_2,axiom,
( ~ between(X1,X2,X3)
| ~ between(X2,X3,X4)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_294]) ).
cnf(c_0_295_0,axiom,
( X1 = X2
| X3 = X1
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_1,axiom,
( X3 = X1
| X1 = X2
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_2,axiom,
( ~ between(X3,X2,X1)
| X3 = X1
| X1 = X2
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_295_3,axiom,
( ~ between(X3,X1,X2)
| ~ between(X3,X2,X1)
| X3 = X1
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_295]) ).
cnf(c_0_296_0,axiom,
( X1 = X2
| X3 = X1
| ~ between(X1,X3,X2)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_296_1,axiom,
( X3 = X1
| X1 = X2
| ~ between(X1,X3,X2)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_296_2,axiom,
( ~ between(X1,X3,X2)
| X3 = X1
| X1 = X2
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_296_3,axiom,
( ~ between(X3,X1,X2)
| ~ between(X1,X3,X2)
| X3 = X1
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_296]) ).
cnf(c_0_297_0,axiom,
( X1 = X2
| ~ between(X3,X2,X1)
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_1,axiom,
( ~ between(X3,X2,X1)
| X1 = X2
| ~ between(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_297_2,axiom,
( ~ between(X3,X1,X2)
| ~ between(X3,X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_297]) ).
cnf(c_0_298_0,axiom,
( X1 = X2
| ~ between(X2,X1,X3)
| ~ between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_1,axiom,
( ~ between(X2,X1,X3)
| X1 = X2
| ~ between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_298_2,axiom,
( ~ between(X1,X2,X3)
| ~ between(X2,X1,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_298]) ).
cnf(c_0_299_0,axiom,
( between(X1,X2,X3)
| X4 != X3
| ~ between(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_1,axiom,
( X4 != X3
| between(X1,X2,X3)
| ~ between(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_299_2,axiom,
( ~ between(X4,X2,X3)
| X4 != X3
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_299]) ).
cnf(c_0_300_0,axiom,
( between(X1,X2,X3)
| ~ between(X3,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_300_1,axiom,
( ~ between(X3,X2,X1)
| between(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_300]) ).
cnf(c_0_301_0,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_301_1,axiom,
( ~ between(X1,X2,X1)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_301]) ).
cnf(c_0_309_0,axiom,
( X1 = X2
| reflection(X1,X2) != X2 ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_309_1,axiom,
( reflection(X1,X2) != X2
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_309]) ).
cnf(c_0_310_0,axiom,
( reflection(X2,X1) = X1
| X2 != X1 ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_310_1,axiom,
( X2 != X1
| reflection(X2,X1) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_310]) ).
cnf(c_0_280_0,axiom,
extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2) != X1,
inference(literals_permutation,[status(thm)],[c_0_280]) ).
cnf(c_0_303_0,axiom,
~ between(lower_dimension_point_3,lower_dimension_point_1,lower_dimension_point_2),
inference(literals_permutation,[status(thm)],[c_0_303]) ).
cnf(c_0_304_0,axiom,
~ between(lower_dimension_point_2,lower_dimension_point_3,lower_dimension_point_1),
inference(literals_permutation,[status(thm)],[c_0_304]) ).
cnf(c_0_305_0,axiom,
~ between(lower_dimension_point_1,lower_dimension_point_2,lower_dimension_point_3),
inference(literals_permutation,[status(thm)],[c_0_305]) ).
cnf(c_0_312_0,axiom,
lower_dimension_point_3 != lower_dimension_point_1,
inference(literals_permutation,[status(thm)],[c_0_312]) ).
cnf(c_0_313_0,axiom,
lower_dimension_point_3 != lower_dimension_point_2,
inference(literals_permutation,[status(thm)],[c_0_313]) ).
cnf(c_0_314_0,axiom,
lower_dimension_point_2 != lower_dimension_point_1,
inference(literals_permutation,[status(thm)],[c_0_314]) ).
cnf(c_0_261_0,axiom,
equidistant(X1,extension(X2,X1,lower_dimension_point_1,lower_dimension_point_2),X3,extension(X4,X3,lower_dimension_point_1,lower_dimension_point_2)),
inference(literals_permutation,[status(thm)],[c_0_261]) ).
cnf(c_0_266_0,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
inference(literals_permutation,[status(thm)],[c_0_266]) ).
cnf(c_0_275_0,axiom,
between(X1,X2,extension(X1,X2,X3,X4)),
inference(literals_permutation,[status(thm)],[c_0_275]) ).
cnf(c_0_276_0,axiom,
between(X1,X2,extension(X1,X2,lower_dimension_point_1,lower_dimension_point_2)),
inference(literals_permutation,[status(thm)],[c_0_276]) ).
cnf(c_0_282_0,axiom,
equidistant(X1,X2,X1,reflection(reflection(X2,X1),X1)),
inference(literals_permutation,[status(thm)],[c_0_282]) ).
cnf(c_0_283_0,axiom,
equidistant(X1,reflection(X2,X1),X2,X1),
inference(literals_permutation,[status(thm)],[c_0_283]) ).
cnf(c_0_284_0,axiom,
extension(X1,X2,X1,X2) = reflection(X1,X2),
inference(literals_permutation,[status(thm)],[c_0_284]) ).
cnf(c_0_285_0,axiom,
extension(X2,X1,X3,X3) = X1,
inference(literals_permutation,[status(thm)],[c_0_285]) ).
cnf(c_0_286_0,axiom,
equidistant(X1,X1,X2,X2),
inference(literals_permutation,[status(thm)],[c_0_286]) ).
cnf(c_0_287_0,axiom,
equidistant(X1,X2,X1,X2),
inference(literals_permutation,[status(thm)],[c_0_287]) ).
cnf(c_0_288_0,axiom,
equidistant(X1,X2,X2,X1),
inference(literals_permutation,[status(thm)],[c_0_288]) ).
cnf(c_0_302_0,axiom,
between(X1,X2,reflection(X1,X2)),
inference(literals_permutation,[status(thm)],[c_0_302]) ).
cnf(c_0_306_0,axiom,
between(X1,X1,X2),
inference(literals_permutation,[status(thm)],[c_0_306]) ).
cnf(c_0_307_0,axiom,
between(X1,X2,X2),
inference(literals_permutation,[status(thm)],[c_0_307]) ).
cnf(c_0_308_0,axiom,
reflection(reflection(X1,X2),X2) = X1,
inference(literals_permutation,[status(thm)],[c_0_308]) ).
cnf(c_0_311_0,axiom,
reflection(X1,X1) = X1,
inference(literals_permutation,[status(thm)],[c_0_311]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
file('<stdin>',prove_conclusion2) ).
fof(c_0_1_002,negated_conjecture,
~ between(x,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),w),
file('<stdin>',prove_conclusion1) ).
fof(c_0_2_003,hypothesis,
between(u,x,u1),
file('<stdin>',x_between_u_and_u1) ).
fof(c_0_3_004,hypothesis,
between(u1,v1,w),
file('<stdin>',v1_between_u1_and_w) ).
fof(c_0_4_005,hypothesis,
between(u,v,w),
file('<stdin>',v_between_u_and_w) ).
fof(c_0_5_006,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_6_007,negated_conjecture,
~ between(x,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),w),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_7_008,hypothesis,
between(u,x,u1),
c_0_2 ).
fof(c_0_8_009,hypothesis,
between(u1,v1,w),
c_0_3 ).
fof(c_0_9_010,hypothesis,
between(u,v,w),
c_0_4 ).
fof(c_0_10_011,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
c_0_5 ).
fof(c_0_11_012,negated_conjecture,
~ between(x,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),w),
c_0_6 ).
fof(c_0_12_013,hypothesis,
between(u,x,u1),
c_0_7 ).
fof(c_0_13_014,hypothesis,
between(u1,v1,w),
c_0_8 ).
fof(c_0_14_015,hypothesis,
between(u,v,w),
c_0_9 ).
cnf(c_0_15_016,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16_017,negated_conjecture,
~ between(x,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),w),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17_018,hypothesis,
between(u,x,u1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18_019,hypothesis,
between(u1,v1,w),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19_020,hypothesis,
between(u,v,w),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20_021,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
c_0_15,
[final] ).
cnf(c_0_21_022,negated_conjecture,
~ between(x,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),w),
c_0_16,
[final] ).
cnf(c_0_22_023,hypothesis,
between(u,x,u1),
c_0_17,
[final] ).
cnf(c_0_23_024,hypothesis,
between(u1,v1,w),
c_0_18,
[final] ).
cnf(c_0_24_025,hypothesis,
between(u,v,w),
c_0_19,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_30,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8ee2df.p',c_0_300_0) ).
cnf(c_247,plain,
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
inference(copy,[status(esa)],[c_30]) ).
cnf(c_49302,plain,
( ~ between(u1,v1,w)
| between(w,v1,u1) ),
inference(instantiation,[status(thm)],[c_247]) ).
cnf(c_128,plain,
( between(X0,inner_pasch(X1,X2,X3,X0,X4),X1)
| ~ between(X4,X0,X3)
| ~ between(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8ee2df.p',c_0_257_2) ).
cnf(c_345,plain,
( between(X0,inner_pasch(X1,X2,X3,X0,X4),X1)
| ~ between(X4,X0,X3)
| ~ between(X1,X2,X3) ),
inference(copy,[status(esa)],[c_128]) ).
cnf(c_48760,plain,
( between(v1,inner_pasch(u,x,u1,v1,w),u)
| ~ between(u,x,u1)
| ~ between(w,v1,u1) ),
inference(instantiation,[status(thm)],[c_345]) ).
cnf(c_48332,plain,
( ~ between(u,v,w)
| between(w,v,u) ),
inference(instantiation,[status(thm)],[c_247]) ).
cnf(c_48152,plain,
( between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1)
| ~ between(v1,inner_pasch(u,x,u1,v1,w),u)
| ~ between(w,v,u) ),
inference(instantiation,[status(thm)],[c_345]) ).
cnf(c_155,plain,
between(u,x,u1),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8ee2df.p',c_0_22) ).
cnf(c_156,plain,
between(u1,v1,w),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8ee2df.p',c_0_23) ).
cnf(c_157,plain,
between(u,v,w),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8ee2df.p',c_0_24) ).
cnf(c_153,negated_conjecture,
~ between(v,inner_pasch(v1,inner_pasch(u,x,u1,v1,w),u,v,w),v1),
file('/export/starexec/sandbox2/tmp/iprover_modulo_8ee2df.p',c_0_20) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_49302,c_48760,c_48332,c_48152,c_155,c_156,c_157,c_153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO048-3 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n008.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 : Sat Jun 18 01:34:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.21/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.42 % Orientation found
% 0.21/0.42 % 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_7f5c33.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_8ee2df.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_8755cf | grep -v "SZS"
% 0.21/0.44
% 0.21/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ iProver source info
% 0.21/0.44
% 0.21/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44 % git: non_committed_changes: true
% 0.21/0.44 % git: last_make_outside_of_git: true
% 0.21/0.44
% 0.21/0.44 %
% 0.21/0.44 % ------ Input Options
% 0.21/0.44
% 0.21/0.44 % --out_options all
% 0.21/0.44 % --tptp_safe_out true
% 0.21/0.44 % --problem_path ""
% 0.21/0.44 % --include_path ""
% 0.21/0.44 % --clausifier .//eprover
% 0.21/0.44 % --clausifier_options --tstp-format
% 0.21/0.44 % --stdin false
% 0.21/0.44 % --dbg_backtrace false
% 0.21/0.44 % --dbg_dump_prop_clauses false
% 0.21/0.44 % --dbg_dump_prop_clauses_file -
% 0.21/0.44 % --dbg_out_stat false
% 0.21/0.44
% 0.21/0.44 % ------ General Options
% 0.21/0.44
% 0.21/0.44 % --fof false
% 0.21/0.44 % --time_out_real 150.
% 0.21/0.44 % --time_out_prep_mult 0.2
% 0.21/0.44 % --time_out_virtual -1.
% 0.21/0.44 % --schedule none
% 0.21/0.44 % --ground_splitting input
% 0.21/0.44 % --splitting_nvd 16
% 0.21/0.44 % --non_eq_to_eq false
% 0.21/0.44 % --prep_gs_sim true
% 0.21/0.44 % --prep_unflatten false
% 0.21/0.44 % --prep_res_sim true
% 0.21/0.44 % --prep_upred true
% 0.21/0.44 % --res_sim_input true
% 0.21/0.44 % --clause_weak_htbl true
% 0.21/0.44 % --gc_record_bc_elim false
% 0.21/0.44 % --symbol_type_check false
% 0.21/0.44 % --clausify_out false
% 0.21/0.44 % --large_theory_mode false
% 0.21/0.44 % --prep_sem_filter none
% 0.21/0.44 % --prep_sem_filter_out false
% 0.21/0.44 % --preprocessed_out false
% 0.21/0.44 % --sub_typing false
% 0.21/0.44 % --brand_transform false
% 0.21/0.44 % --pure_diseq_elim true
% 0.21/0.44 % --min_unsat_core false
% 0.21/0.44 % --pred_elim true
% 0.21/0.44 % --add_important_lit false
% 0.21/0.44 % --soft_assumptions false
% 0.21/0.44 % --reset_solvers false
% 0.21/0.44 % --bc_imp_inh []
% 0.21/0.44 % --conj_cone_tolerance 1.5
% 0.21/0.44 % --prolific_symb_bound 500
% 0.21/0.44 % --lt_threshold 2000
% 0.21/0.44
% 0.21/0.44 % ------ SAT Options
% 0.21/0.44
% 0.21/0.44 % --sat_mode false
% 0.21/0.44 % --sat_fm_restart_options ""
% 0.21/0.44 % --sat_gr_def false
% 0.21/0.44 % --sat_epr_types true
% 0.21/0.44 % --sat_non_cyclic_types false
% 0.21/0.44 % --sat_finite_models false
% 0.21/0.44 % --sat_fm_lemmas false
% 0.21/0.44 % --sat_fm_prep false
% 0.21/0.44 % --sat_fm_uc_incr true
% 0.21/0.44 % --sat_out_model small
% 0.21/0.44 % --sat_out_clauses false
% 0.21/0.44
% 0.21/0.44 % ------ QBF Options
% 0.21/0.44
% 0.21/0.44 % --qbf_mode false
% 0.21/0.44 % --qbf_elim_univ true
% 0.21/0.44 % --qbf_sk_in true
% 0.21/0.44 % --qbf_pred_elim true
% 0.21/0.44 % --qbf_split 32
% 0.21/0.44
% 0.21/0.44 % ------ BMC1 Options
% 0.21/0.44
% 0.21/0.44 % --bmc1_incremental false
% 0.21/0.44 % --bmc1_axioms reachable_all
% 0.21/0.44 % --bmc1_min_bound 0
% 0.21/0.44 % --bmc1_max_bound -1
% 0.21/0.44 % --bmc1_max_bound_default -1
% 0.21/0.44 % --bmc1_symbol_reachability true
% 0.21/0.44 % --bmc1_property_lemmas false
% 0.21/0.44 % --bmc1_k_induction false
% 0.21/0.44 % --bmc1_non_equiv_states false
% 0.21/0.44 % --bmc1_deadlock false
% 0.21/0.44 % --bmc1_ucm false
% 0.21/0.44 % --bmc1_add_unsat_core none
% 0.21/0.44 % --bmc1_unsat_core_children false
% 0.21/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.44 % --bmc1_out_stat full
% 0.21/0.44 % --bmc1_ground_init false
% 0.21/0.44 % --bmc1_pre_inst_next_state false
% 0.21/0.44 % --bmc1_pre_inst_state false
% 0.21/0.44 % --bmc1_pre_inst_reach_state false
% 0.21/0.44 % --bmc1_out_unsat_core false
% 0.21/0.44 % --bmc1_aig_witness_out false
% 0.21/0.44 % --bmc1_verbose false
% 0.21/0.44 % --bmc1_dump_clauses_tptp false
% 150.20/150.45 % --bmc1_dump_unsat_core_tptp false
% 150.20/150.45 % --bmc1_dump_file -
% 150.20/150.45 % --bmc1_ucm_expand_uc_limit 128
% 150.20/150.45 % --bmc1_ucm_n_expand_iterations 6
% 150.20/150.45 % --bmc1_ucm_extend_mode 1
% 150.20/150.45 % --bmc1_ucm_init_mode 2
% 150.20/150.45 % --bmc1_ucm_cone_mode none
% 150.20/150.45 % --bmc1_ucm_reduced_relation_type 0
% 150.20/150.45 % --bmc1_ucm_relax_model 4
% 150.20/150.45 % --bmc1_ucm_full_tr_after_sat true
% 150.20/150.45 % --bmc1_ucm_expand_neg_assumptions false
% 150.20/150.45 % --bmc1_ucm_layered_model none
% 150.20/150.45 % --bmc1_ucm_max_lemma_size 10
% 150.20/150.45
% 150.20/150.45 % ------ AIG Options
% 150.20/150.45
% 150.20/150.45 % --aig_mode false
% 150.20/150.45
% 150.20/150.45 % ------ Instantiation Options
% 150.20/150.45
% 150.20/150.45 % --instantiation_flag true
% 150.20/150.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.20/150.45 % --inst_solver_per_active 750
% 150.20/150.45 % --inst_solver_calls_frac 0.5
% 150.20/150.45 % --inst_passive_queue_type priority_queues
% 150.20/150.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.20/150.45 % --inst_passive_queues_freq [25;2]
% 150.20/150.45 % --inst_dismatching true
% 150.20/150.45 % --inst_eager_unprocessed_to_passive true
% 150.20/150.45 % --inst_prop_sim_given true
% 150.20/150.45 % --inst_prop_sim_new false
% 150.20/150.45 % --inst_orphan_elimination true
% 150.20/150.45 % --inst_learning_loop_flag true
% 150.20/150.45 % --inst_learning_start 3000
% 150.20/150.45 % --inst_learning_factor 2
% 150.20/150.45 % --inst_start_prop_sim_after_learn 3
% 150.20/150.45 % --inst_sel_renew solver
% 150.20/150.45 % --inst_lit_activity_flag true
% 150.20/150.45 % --inst_out_proof true
% 150.20/150.45
% 150.20/150.45 % ------ Resolution Options
% 150.20/150.45
% 150.20/150.45 % --resolution_flag true
% 150.20/150.45 % --res_lit_sel kbo_max
% 150.20/150.45 % --res_to_prop_solver none
% 150.20/150.45 % --res_prop_simpl_new false
% 150.20/150.45 % --res_prop_simpl_given false
% 150.20/150.45 % --res_passive_queue_type priority_queues
% 150.20/150.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.20/150.45 % --res_passive_queues_freq [15;5]
% 150.20/150.45 % --res_forward_subs full
% 150.20/150.45 % --res_backward_subs full
% 150.20/150.45 % --res_forward_subs_resolution true
% 150.20/150.45 % --res_backward_subs_resolution true
% 150.20/150.45 % --res_orphan_elimination false
% 150.20/150.45 % --res_time_limit 1000.
% 150.20/150.45 % --res_out_proof true
% 150.20/150.45 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_7f5c33.s
% 150.20/150.45 % --modulo true
% 150.20/150.45
% 150.20/150.45 % ------ Combination Options
% 150.20/150.45
% 150.20/150.45 % --comb_res_mult 1000
% 150.20/150.45 % --comb_inst_mult 300
% 150.20/150.45 % ------
% 150.20/150.45
% 150.20/150.45 % ------ Parsing...% successful
% 150.20/150.45
% 150.20/150.45 % ------ 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 %
% 150.20/150.45
% 150.20/150.45 % ------ Proving...
% 150.20/150.45 % ------ Problem Properties
% 150.20/150.45
% 150.20/150.45 %
% 150.20/150.45 % EPR false
% 150.20/150.45 % Horn false
% 150.20/150.45 % Has equality true
% 150.20/150.45
% 150.20/150.45 % % ------ Input Options Time Limit: Unbounded
% 150.20/150.45
% 150.20/150.45
% 150.20/150.45 Compiling...
% 150.20/150.45 Loading plugin: done.
% 150.20/150.45 %
% 150.20/150.45
% 150.20/150.45
% 150.20/150.45 % Time Out Real
% 150.20/150.45
% 150.20/150.45 % ------ Statistics
% 150.20/150.45
% 150.20/150.45 % ------ General
% 150.20/150.45
% 150.20/150.45 % num_of_input_clauses: 158
% 150.20/150.45 % num_of_input_neg_conjectures: 2
% 150.20/150.45 % num_of_splits: 0
% 150.20/150.45 % num_of_split_atoms: 0
% 150.20/150.45 % num_of_sem_filtered_clauses: 0
% 150.20/150.45 % num_of_subtypes: 0
% 150.20/150.45 % monotx_restored_types: 0
% 150.20/150.45 % sat_num_of_epr_types: 0
% 150.20/150.45 % sat_num_of_non_cyclic_types: 0
% 150.20/150.45 % sat_guarded_non_collapsed_types: 0
% 150.20/150.45 % is_epr: 0
% 150.20/150.45 % is_horn: 0
% 150.20/150.45 % has_eq: 1
% 150.20/150.45 % num_pure_diseq_elim: 0
% 150.20/150.45 % simp_replaced_by: 0
% 150.20/150.45 % res_preprocessed: 7
% 150.20/150.45 % prep_upred: 0
% 150.20/150.45 % prep_unflattend: 0
% 150.20/150.45 % pred_elim_cands: 0
% 150.20/150.45 % pred_elim: 0
% 150.20/150.45 % pred_elim_cl: 0
% 150.20/150.45 % pred_elim_cycles: 0
% 150.27/150.45 % forced_gc_time: 0
% 150.27/150.45 % gc_basic_clause_elim: 0
% 150.27/150.45 % parsing_time: 0.008
% 150.27/150.45 % sem_filter_time: 0.
% 150.27/150.45 % pred_elim_time: 0.
% 150.27/150.45 % out_proof_time: 0.
% 150.27/150.45 % monotx_time: 0.
% 150.27/150.45 % subtype_inf_time: 0.
% 150.27/150.45 % unif_index_cands_time: 0.
% 150.27/150.45 % unif_index_add_time: 0.
% 150.27/150.45 % total_time: 150.023
% 150.27/150.45 % num_of_symbols: 42
% 150.27/150.45 % num_of_terms: 368
% 150.27/150.45
% 150.27/150.45 % ------ Propositional Solver
% 150.27/150.45
% 150.27/150.45 % prop_solver_calls: 1
% 150.27/150.45 % prop_fast_solver_calls: 12
% 150.27/150.45 % prop_num_of_clauses: 127
% 150.27/150.45 % prop_preprocess_simplified: 514
% 150.27/150.45 % prop_fo_subsumed: 0
% 150.27/150.45 % prop_solver_time: 0.
% 150.27/150.45 % prop_fast_solver_time: 0.
% 150.27/150.45 % prop_unsat_core_time: 0.
% 150.27/150.45
% 150.27/150.45 % ------ QBF
% 150.27/150.45
% 150.27/150.45 % qbf_q_res: 0
% 150.27/150.45 % qbf_num_tautologies: 0
% 150.27/150.45 % qbf_prep_cycles: 0
% 150.27/150.45
% 150.27/150.45 % ------ BMC1
% 150.27/150.45
% 150.27/150.45 % bmc1_current_bound: -1
% 150.27/150.45 % bmc1_last_solved_bound: -1
% 150.27/150.45 % bmc1_unsat_core_size: -1
% 150.27/150.45 % bmc1_unsat_core_parents_size: -1
% 150.27/150.45 % bmc1_merge_next_fun: 0
% 150.27/150.45 % bmc1_unsat_core_clauses_time: 0.
% 150.27/150.45
% 150.27/150.45 % ------ Instantiation
% 150.27/150.45
% 150.27/150.45 % inst_num_of_clauses: 158
% 150.27/150.45 % inst_num_in_passive: 0
% 150.27/150.45 % inst_num_in_active: 0
% 150.27/150.45 % inst_num_in_unprocessed: 158
% 150.27/150.45 % inst_num_of_loops: 0
% 150.27/150.45 % inst_num_of_learning_restarts: 0
% 150.27/150.45 % inst_num_moves_active_passive: 0
% 150.27/150.45 % inst_lit_activity: 0
% 150.27/150.45 % inst_lit_activity_moves: 0
% 150.27/150.45 % inst_num_tautologies: 0
% 150.27/150.45 % inst_num_prop_implied: 0
% 150.27/150.45 % inst_num_existing_simplified: 0
% 150.27/150.45 % inst_num_eq_res_simplified: 0
% 150.27/150.45 % inst_num_child_elim: 0
% 150.27/150.45 % inst_num_of_dismatching_blockings: 0
% 150.27/150.45 % inst_num_of_non_proper_insts: 0
% 150.27/150.45 % inst_num_of_duplicates: 0
% 150.27/150.45 % inst_inst_num_from_inst_to_res: 0
% 150.27/150.45 % inst_dismatching_checking_time: 0.
% 150.27/150.45
% 150.27/150.45 % ------ Resolution
% 150.27/150.45
% 150.27/150.45 % res_num_of_clauses: 173
% 150.27/150.45 % res_num_in_passive: 0
% 150.27/150.45 % res_num_in_active: 94
% 150.27/150.45 % res_num_of_loops: 0
% 150.27/150.45 % res_forward_subset_subsumed: 36
% 150.27/150.45 % res_backward_subset_subsumed: 3
% 150.27/150.45 % res_forward_subsumed: 0
% 150.27/150.45 % res_backward_subsumed: 0
% 150.27/150.45 % res_forward_subsumption_resolution: 0
% 150.27/150.45 % res_backward_subsumption_resolution: 0
% 150.27/150.45 % res_clause_to_clause_subsumption: 0
% 150.27/150.45 % res_orphan_elimination: 0
% 150.27/150.45 % res_tautology_del: 3
% 150.27/150.45 % res_num_eq_res_simplified: 0
% 150.27/150.45 % res_num_sel_changes: 0
% 150.27/150.45 % res_moves_from_active_to_pass: 0
% 150.27/150.45
% 150.27/150.45 % Status Unknown
% 150.31/150.50 % Orienting using strategy ClausalAll
% 150.31/150.50 % Orientation found
% 150.31/150.50 % 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_7f5c33.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_8ee2df.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_53ff64 | grep -v "SZS"
% 150.31/150.52
% 150.31/150.52 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.31/150.52
% 150.31/150.52 %
% 150.31/150.52 % ------ iProver source info
% 150.31/150.52
% 150.31/150.52 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.31/150.52 % git: non_committed_changes: true
% 150.31/150.52 % git: last_make_outside_of_git: true
% 150.31/150.52
% 150.31/150.52 %
% 150.31/150.52 % ------ Input Options
% 150.31/150.52
% 150.31/150.52 % --out_options all
% 150.31/150.52 % --tptp_safe_out true
% 150.31/150.52 % --problem_path ""
% 150.31/150.52 % --include_path ""
% 150.31/150.52 % --clausifier .//eprover
% 150.31/150.52 % --clausifier_options --tstp-format
% 150.31/150.52 % --stdin false
% 150.31/150.52 % --dbg_backtrace false
% 150.31/150.52 % --dbg_dump_prop_clauses false
% 150.31/150.52 % --dbg_dump_prop_clauses_file -
% 150.31/150.52 % --dbg_out_stat false
% 150.31/150.52
% 150.31/150.52 % ------ General Options
% 150.31/150.52
% 150.31/150.52 % --fof false
% 150.31/150.52 % --time_out_real 150.
% 150.31/150.52 % --time_out_prep_mult 0.2
% 150.31/150.52 % --time_out_virtual -1.
% 150.31/150.52 % --schedule none
% 150.31/150.52 % --ground_splitting input
% 150.31/150.52 % --splitting_nvd 16
% 150.31/150.52 % --non_eq_to_eq false
% 150.31/150.52 % --prep_gs_sim true
% 150.31/150.52 % --prep_unflatten false
% 150.31/150.52 % --prep_res_sim true
% 150.31/150.52 % --prep_upred true
% 150.31/150.52 % --res_sim_input true
% 150.31/150.52 % --clause_weak_htbl true
% 150.31/150.52 % --gc_record_bc_elim false
% 150.31/150.52 % --symbol_type_check false
% 150.31/150.52 % --clausify_out false
% 150.31/150.52 % --large_theory_mode false
% 150.31/150.52 % --prep_sem_filter none
% 150.31/150.52 % --prep_sem_filter_out false
% 150.31/150.52 % --preprocessed_out false
% 150.31/150.52 % --sub_typing false
% 150.31/150.52 % --brand_transform false
% 150.31/150.52 % --pure_diseq_elim true
% 150.31/150.52 % --min_unsat_core false
% 150.31/150.52 % --pred_elim true
% 150.31/150.52 % --add_important_lit false
% 150.31/150.52 % --soft_assumptions false
% 150.31/150.52 % --reset_solvers false
% 150.31/150.52 % --bc_imp_inh []
% 150.31/150.52 % --conj_cone_tolerance 1.5
% 150.31/150.52 % --prolific_symb_bound 500
% 150.31/150.52 % --lt_threshold 2000
% 150.31/150.52
% 150.31/150.52 % ------ SAT Options
% 150.31/150.52
% 150.31/150.52 % --sat_mode false
% 150.31/150.52 % --sat_fm_restart_options ""
% 150.31/150.52 % --sat_gr_def false
% 150.31/150.52 % --sat_epr_types true
% 150.31/150.52 % --sat_non_cyclic_types false
% 150.31/150.52 % --sat_finite_models false
% 150.31/150.52 % --sat_fm_lemmas false
% 150.31/150.52 % --sat_fm_prep false
% 150.31/150.52 % --sat_fm_uc_incr true
% 150.31/150.52 % --sat_out_model small
% 150.31/150.52 % --sat_out_clauses false
% 150.31/150.52
% 150.31/150.52 % ------ QBF Options
% 150.31/150.52
% 150.31/150.52 % --qbf_mode false
% 150.31/150.52 % --qbf_elim_univ true
% 150.31/150.52 % --qbf_sk_in true
% 150.31/150.52 % --qbf_pred_elim true
% 150.31/150.52 % --qbf_split 32
% 150.31/150.52
% 150.31/150.52 % ------ BMC1 Options
% 150.31/150.52
% 150.31/150.52 % --bmc1_incremental false
% 150.31/150.52 % --bmc1_axioms reachable_all
% 150.31/150.52 % --bmc1_min_bound 0
% 150.31/150.52 % --bmc1_max_bound -1
% 150.31/150.52 % --bmc1_max_bound_default -1
% 150.31/150.52 % --bmc1_symbol_reachability true
% 150.31/150.52 % --bmc1_property_lemmas false
% 150.31/150.52 % --bmc1_k_induction false
% 150.31/150.52 % --bmc1_non_equiv_states false
% 150.31/150.52 % --bmc1_deadlock false
% 150.31/150.52 % --bmc1_ucm false
% 150.31/150.52 % --bmc1_add_unsat_core none
% 150.31/150.52 % --bmc1_unsat_core_children false
% 150.31/150.52 % --bmc1_unsat_core_extrapolate_axioms false
% 150.31/150.52 % --bmc1_out_stat full
% 150.31/150.52 % --bmc1_ground_init false
% 150.31/150.52 % --bmc1_pre_inst_next_state false
% 150.31/150.52 % --bmc1_pre_inst_state false
% 150.31/150.52 % --bmc1_pre_inst_reach_state false
% 150.31/150.52 % --bmc1_out_unsat_core false
% 150.31/150.52 % --bmc1_aig_witness_out false
% 150.31/150.52 % --bmc1_verbose false
% 150.31/150.52 % --bmc1_dump_clauses_tptp false
% 150.36/150.74 % --bmc1_dump_unsat_core_tptp false
% 150.36/150.74 % --bmc1_dump_file -
% 150.36/150.74 % --bmc1_ucm_expand_uc_limit 128
% 150.36/150.74 % --bmc1_ucm_n_expand_iterations 6
% 150.36/150.74 % --bmc1_ucm_extend_mode 1
% 150.36/150.74 % --bmc1_ucm_init_mode 2
% 150.36/150.74 % --bmc1_ucm_cone_mode none
% 150.36/150.74 % --bmc1_ucm_reduced_relation_type 0
% 150.36/150.74 % --bmc1_ucm_relax_model 4
% 150.36/150.74 % --bmc1_ucm_full_tr_after_sat true
% 150.36/150.74 % --bmc1_ucm_expand_neg_assumptions false
% 150.36/150.74 % --bmc1_ucm_layered_model none
% 150.36/150.74 % --bmc1_ucm_max_lemma_size 10
% 150.36/150.74
% 150.36/150.74 % ------ AIG Options
% 150.36/150.74
% 150.36/150.74 % --aig_mode false
% 150.36/150.74
% 150.36/150.74 % ------ Instantiation Options
% 150.36/150.74
% 150.36/150.74 % --instantiation_flag true
% 150.36/150.74 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.36/150.74 % --inst_solver_per_active 750
% 150.36/150.74 % --inst_solver_calls_frac 0.5
% 150.36/150.74 % --inst_passive_queue_type priority_queues
% 150.36/150.74 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.36/150.74 % --inst_passive_queues_freq [25;2]
% 150.36/150.74 % --inst_dismatching true
% 150.36/150.74 % --inst_eager_unprocessed_to_passive true
% 150.36/150.74 % --inst_prop_sim_given true
% 150.36/150.74 % --inst_prop_sim_new false
% 150.36/150.74 % --inst_orphan_elimination true
% 150.36/150.74 % --inst_learning_loop_flag true
% 150.36/150.74 % --inst_learning_start 3000
% 150.36/150.74 % --inst_learning_factor 2
% 150.36/150.74 % --inst_start_prop_sim_after_learn 3
% 150.36/150.74 % --inst_sel_renew solver
% 150.36/150.74 % --inst_lit_activity_flag true
% 150.36/150.74 % --inst_out_proof true
% 150.36/150.74
% 150.36/150.74 % ------ Resolution Options
% 150.36/150.74
% 150.36/150.74 % --resolution_flag true
% 150.36/150.74 % --res_lit_sel kbo_max
% 150.36/150.74 % --res_to_prop_solver none
% 150.36/150.74 % --res_prop_simpl_new false
% 150.36/150.74 % --res_prop_simpl_given false
% 150.36/150.74 % --res_passive_queue_type priority_queues
% 150.36/150.74 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.36/150.74 % --res_passive_queues_freq [15;5]
% 150.36/150.74 % --res_forward_subs full
% 150.36/150.74 % --res_backward_subs full
% 150.36/150.74 % --res_forward_subs_resolution true
% 150.36/150.74 % --res_backward_subs_resolution true
% 150.36/150.74 % --res_orphan_elimination false
% 150.36/150.74 % --res_time_limit 1000.
% 150.36/150.74 % --res_out_proof true
% 150.36/150.74 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_7f5c33.s
% 150.36/150.74 % --modulo true
% 150.36/150.74
% 150.36/150.74 % ------ Combination Options
% 150.36/150.74
% 150.36/150.74 % --comb_res_mult 1000
% 150.36/150.74 % --comb_inst_mult 300
% 150.36/150.74 % ------
% 150.36/150.74
% 150.36/150.74 % ------ Parsing...% successful
% 150.36/150.74
% 150.36/150.74 % ------ 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 %
% 150.36/150.74
% 150.36/150.74 % ------ Proving...
% 150.36/150.74 % ------ Problem Properties
% 150.36/150.74
% 150.36/150.74 %
% 150.36/150.74 % EPR false
% 150.36/150.74 % Horn false
% 150.36/150.74 % Has equality true
% 150.36/150.74
% 150.36/150.74 % % ------ Input Options Time Limit: Unbounded
% 150.36/150.74
% 150.36/150.74
% 150.36/150.74 Compiling...
% 150.36/150.74 Loading plugin: done.
% 150.36/150.74 Compiling...
% 150.36/150.74 Loading plugin: done.
% 150.36/150.74 % % ------ Current options:
% 150.36/150.74
% 150.36/150.74 % ------ Input Options
% 150.36/150.74
% 150.36/150.74 % --out_options all
% 150.36/150.74 % --tptp_safe_out true
% 150.36/150.74 % --problem_path ""
% 150.36/150.74 % --include_path ""
% 150.36/150.74 % --clausifier .//eprover
% 150.36/150.74 % --clausifier_options --tstp-format
% 150.36/150.74 % --stdin false
% 150.36/150.74 % --dbg_backtrace false
% 150.36/150.74 % --dbg_dump_prop_clauses false
% 150.36/150.74 % --dbg_dump_prop_clauses_file -
% 150.36/150.74 % --dbg_out_stat false
% 150.36/150.74
% 150.36/150.74 % ------ General Options
% 150.36/150.74
% 150.36/150.74 % --fof false
% 150.36/150.74 % --time_out_real 150.
% 150.36/150.74 % --time_out_prep_mult 0.2
% 150.36/150.74 % --time_out_virtual -1.
% 150.36/150.74 % --schedule none
% 150.36/150.74 % --ground_splitting input
% 150.36/150.74 % --splitting_nvd 16
% 150.36/150.74 % --non_eq_to_eq false
% 150.36/150.74 % --prep_gs_sim true
% 150.36/150.74 % --prep_unflatten false
% 150.36/150.74 % --prep_res_sim true
% 150.36/150.74 % --prep_upred true
% 150.36/150.74 % --res_sim_input true
% 150.36/150.74 % --clause_weak_htbl true
% 150.36/150.74 % --gc_record_bc_elim false
% 150.36/150.74 % --symbol_type_check false
% 150.36/150.74 % --clausify_out false
% 150.36/150.74 % --large_theory_mode false
% 150.36/150.74 % --prep_sem_filter none
% 150.36/150.74 % --prep_sem_filter_out false
% 150.36/150.74 % --preprocessed_out false
% 150.36/150.74 % --sub_typing false
% 150.36/150.74 % --brand_transform false
% 150.36/150.74 % --pure_diseq_elim true
% 150.36/150.74 % --min_unsat_core false
% 150.36/150.74 % --pred_elim true
% 150.36/150.74 % --add_important_lit false
% 150.36/150.74 % --soft_assumptions false
% 150.36/150.74 % --reset_solvers false
% 150.36/150.74 % --bc_imp_inh []
% 150.36/150.74 % --conj_cone_tolerance 1.5
% 150.36/150.74 % --prolific_symb_bound 500
% 150.36/150.74 % --lt_threshold 2000
% 150.36/150.74
% 150.36/150.74 % ------ SAT Options
% 150.36/150.74
% 150.36/150.74 % --sat_mode false
% 150.36/150.74 % --sat_fm_restart_options ""
% 150.36/150.74 % --sat_gr_def false
% 150.36/150.74 % --sat_epr_types true
% 150.36/150.74 % --sat_non_cyclic_types false
% 150.36/150.74 % --sat_finite_models false
% 150.36/150.74 % --sat_fm_lemmas false
% 150.36/150.74 % --sat_fm_prep false
% 150.36/150.74 % --sat_fm_uc_incr true
% 150.36/150.74 % --sat_out_model small
% 150.36/150.74 % --sat_out_clauses false
% 150.36/150.74
% 150.36/150.74 % ------ QBF Options
% 150.36/150.74
% 150.36/150.74 % --qbf_mode false
% 150.36/150.74 % --qbf_elim_univ true
% 150.36/150.74 % --qbf_sk_in true
% 150.36/150.74 % --qbf_pred_elim true
% 150.36/150.74 % --qbf_split 32
% 150.36/150.74
% 150.36/150.74 % ------ BMC1 Options
% 150.36/150.74
% 150.36/150.74 % --bmc1_incremental false
% 150.36/150.74 % --bmc1_axioms reachable_all
% 150.36/150.74 % --bmc1_min_bound 0
% 150.36/150.74 % --bmc1_max_bound -1
% 150.36/150.74 % --bmc1_max_bound_default -1
% 150.36/150.74 % --bmc1_symbol_reachability true
% 150.36/150.74 % --bmc1_property_lemmas false
% 150.36/150.74 % --bmc1_k_induction false
% 150.36/150.74 % --bmc1_non_equiv_states false
% 150.36/150.74 % --bmc1_deadlock false
% 150.36/150.74 % --bmc1_ucm false
% 150.36/150.74 % --bmc1_add_unsat_core none
% 150.36/150.74 % --bmc1_unsat_core_children false
% 150.36/150.74 % --bmc1_unsat_core_extrapolate_axioms false
% 150.36/150.74 % --bmc1_out_stat full
% 150.36/150.74 % --bmc1_ground_init false
% 150.36/150.74 % --bmc1_pre_inst_next_state false
% 150.36/150.74 % --bmc1_pre_inst_state false
% 150.36/150.74 % --bmc1_pre_inst_reach_state false
% 150.36/150.74 % --bmc1_out_unsat_core false
% 150.36/150.74 % --bmc1_aig_witness_out false
% 150.36/150.74 % --bmc1_verbose false
% 150.36/150.74 % --bmc1_dump_clauses_tptp false
% 150.36/150.74 % --bmc1_dump_unsat_core_tptp false
% 150.36/150.74 % --bmc1_dump_file -
% 150.36/150.74 % --bmc1_ucm_expand_uc_limit 128
% 150.36/150.74 % --bmc1_ucm_n_expand_iterations 6
% 150.36/150.74 % --bmc1_ucm_extend_mode 1
% 150.36/150.74 % --bmc1_ucm_init_mode 2
% 150.36/150.74 % --bmc1_ucm_cone_mode none
% 150.36/150.74 % --bmc1_ucm_reduced_relation_type 0
% 150.36/150.74 % --bmc1_ucm_relax_model 4
% 150.36/150.74 % --bmc1_ucm_full_tr_after_sat true
% 150.36/150.74 % --bmc1_ucm_expand_neg_assumptions false
% 150.36/150.74 % --bmc1_ucm_layered_model none
% 150.36/150.74 % --bmc1_ucm_max_lemma_size 10
% 150.36/150.74
% 150.36/150.74 % ------ AIG Options
% 150.36/150.74
% 150.36/150.74 % --aig_mode false
% 150.36/150.74
% 150.36/150.74 % ------ Instantiation Options
% 150.36/150.74
% 150.36/150.74 % --instantiation_flag true
% 150.36/150.74 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.36/150.74 % --inst_solver_per_active 750
% 150.36/150.74 % --inst_solver_calls_frac 0.5
% 150.36/150.74 % --inst_passive_queue_type priority_queues
% 150.36/150.74 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.36/150.74 % --inst_passive_queues_freq [25;2]
% 150.36/150.74 % --inst_dismatching true
% 152.03/152.23 % --inst_eager_unprocessed_to_passive true
% 152.03/152.23 % --inst_prop_sim_given true
% 152.03/152.23 % --inst_prop_sim_new false
% 152.03/152.23 % --inst_orphan_elimination true
% 152.03/152.23 % --inst_learning_loop_flag true
% 152.03/152.23 % --inst_learning_start 3000
% 152.03/152.23 % --inst_learning_factor 2
% 152.03/152.23 % --inst_start_prop_sim_after_learn 3
% 152.03/152.23 % --inst_sel_renew solver
% 152.03/152.23 % --inst_lit_activity_flag true
% 152.03/152.23 % --inst_out_proof true
% 152.03/152.23
% 152.03/152.23 % ------ Resolution Options
% 152.03/152.23
% 152.03/152.23 % --resolution_flag true
% 152.03/152.23 % --res_lit_sel kbo_max
% 152.03/152.23 % --res_to_prop_solver none
% 152.03/152.23 % --res_prop_simpl_new false
% 152.03/152.23 % --res_prop_simpl_given false
% 152.03/152.23 % --res_passive_queue_type priority_queues
% 152.03/152.23 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.03/152.23 % --res_passive_queues_freq [15;5]
% 152.03/152.23 % --res_forward_subs full
% 152.03/152.23 % --res_backward_subs full
% 152.03/152.23 % --res_forward_subs_resolution true
% 152.03/152.23 % --res_backward_subs_resolution true
% 152.03/152.23 % --res_orphan_elimination false
% 152.03/152.23 % --res_time_limit 1000.
% 152.03/152.23 % --res_out_proof true
% 152.03/152.23 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_7f5c33.s
% 152.03/152.23 % --modulo true
% 152.03/152.23
% 152.03/152.23 % ------ Combination Options
% 152.03/152.23
% 152.03/152.23 % --comb_res_mult 1000
% 152.03/152.23 % --comb_inst_mult 300
% 152.03/152.23 % ------
% 152.03/152.23
% 152.03/152.23
% 152.03/152.23
% 152.03/152.23 % ------ Proving...
% 152.03/152.23 %
% 152.03/152.23
% 152.03/152.23
% 152.03/152.23 % ------ Statistics
% 152.03/152.23
% 152.03/152.23 % ------ General
% 152.03/152.23
% 152.03/152.23 % num_of_input_clauses: 158
% 152.03/152.23 % num_of_input_neg_conjectures: 2
% 152.03/152.23 % num_of_splits: 0
% 152.03/152.23 % num_of_split_atoms: 0
% 152.03/152.23 % num_of_sem_filtered_clauses: 0
% 152.03/152.23 % num_of_subtypes: 0
% 152.03/152.23 % monotx_restored_types: 0
% 152.03/152.23 % sat_num_of_epr_types: 0
% 152.03/152.23 % sat_num_of_non_cyclic_types: 0
% 152.03/152.23 % sat_guarded_non_collapsed_types: 0
% 152.03/152.23 % is_epr: 0
% 152.03/152.23 % is_horn: 0
% 152.03/152.23 % has_eq: 1
% 152.03/152.23 % num_pure_diseq_elim: 0
% 152.03/152.23 % simp_replaced_by: 0
% 152.03/152.23 % res_preprocessed: 7
% 152.03/152.23 % prep_upred: 0
% 152.03/152.23 % prep_unflattend: 0
% 152.03/152.23 % pred_elim_cands: 0
% 152.03/152.23 % pred_elim: 0
% 152.03/152.23 % pred_elim_cl: 0
% 152.03/152.23 % pred_elim_cycles: 0
% 152.03/152.23 % forced_gc_time: 0
% 152.03/152.23 % gc_basic_clause_elim: 0
% 152.03/152.23 % parsing_time: 0.004
% 152.03/152.23 % sem_filter_time: 0.
% 152.03/152.23 % pred_elim_time: 0.
% 152.03/152.23 % out_proof_time: 0.
% 152.03/152.23 % monotx_time: 0.
% 152.03/152.23 % subtype_inf_time: 0.
% 152.03/152.23 % unif_index_cands_time: 0.006
% 152.03/152.23 % unif_index_add_time: 0.002
% 152.03/152.23 % total_time: 1.72
% 152.03/152.23 % num_of_symbols: 42
% 152.03/152.23 % num_of_terms: 21229
% 152.03/152.23
% 152.03/152.23 % ------ Propositional Solver
% 152.03/152.23
% 152.03/152.23 % prop_solver_calls: 5
% 152.03/152.23 % prop_fast_solver_calls: 12
% 152.03/152.23 % prop_num_of_clauses: 728
% 152.03/152.23 % prop_preprocess_simplified: 1761
% 152.03/152.23 % prop_fo_subsumed: 0
% 152.03/152.23 % prop_solver_time: 0.
% 152.03/152.23 % prop_fast_solver_time: 0.
% 152.03/152.23 % prop_unsat_core_time: 0.
% 152.03/152.23
% 152.03/152.23 % ------ QBF
% 152.03/152.23
% 152.03/152.23 % qbf_q_res: 0
% 152.03/152.23 % qbf_num_tautologies: 0
% 152.03/152.23 % qbf_prep_cycles: 0
% 152.03/152.23
% 152.03/152.23 % ------ BMC1
% 152.03/152.23
% 152.03/152.23 % bmc1_current_bound: -1
% 152.03/152.23 % bmc1_last_solved_bound: -1
% 152.03/152.23 % bmc1_unsat_core_size: -1
% 152.03/152.23 % bmc1_unsat_core_parents_size: -1
% 152.03/152.23 % bmc1_merge_next_fun: 0
% 152.03/152.23 % bmc1_unsat_core_clauses_time: 0.
% 152.03/152.23
% 152.03/152.23 % ------ Instantiation
% 152.03/152.23
% 152.03/152.23 % inst_num_of_clauses: 586
% 152.03/152.23 % inst_num_in_passive: 407
% 152.03/152.23 % inst_num_in_active: 146
% 152.03/152.23 % inst_num_in_unprocessed: 24
% 152.03/152.23 % inst_num_of_loops: 156
% 152.03/152.23 % inst_num_of_learning_restarts: 0
% 152.03/152.23 % inst_num_moves_active_passive: 1
% 152.03/152.23 % inst_lit_activity: 224
% 152.03/152.23 % inst_lit_activity_moves: 0
% 152.03/152.23 % inst_num_tautologies: 7
% 152.03/152.23 % inst_num_prop_implied: 0
% 152.03/152.23 % inst_num_existing_simplified: 0
% 152.03/152.23 % inst_num_eq_res_simplified: 0
% 152.03/152.23 % inst_num_child_elim: 0
% 152.03/152.23 % inst_num_of_dismatching_blockings: 112
% 152.03/152.23 % inst_num_of_non_proper_insts: 395
% 152.03/152.23 % inst_num_of_duplicates: 525
% 152.03/152.23 % inst_inst_num_from_inst_to_res: 0
% 152.03/152.23 % inst_dismatching_checking_time: 0.
% 152.03/152.23
% 152.03/152.23 % ------ Resolution
% 152.03/152.23
% 152.03/152.23 % res_num_of_clauses: 17774
% 152.03/152.23 % res_num_in_passive: 16779
% 152.03/152.23 % res_num_in_active: 954
% 152.03/152.23 % res_num_of_loops: 1000
% 152.03/152.23 % res_forward_subset_subsumed: 2823
% 152.03/152.23 % res_backward_subset_subsumed: 58
% 152.03/152.23 % res_forward_subsumed: 104
% 152.03/152.23 % res_backward_subsumed: 35
% 152.03/152.23 % res_forward_subsumption_resolution: 42
% 152.03/152.23 % res_backward_subsumption_resolution: 3
% 152.03/152.23 % res_clause_to_clause_subsumption: 70119
% 152.03/152.23 % res_orphan_elimination: 0
% 152.03/152.23 % res_tautology_del: 31
% 152.03/152.23 % res_num_eq_res_simplified: 1
% 152.03/152.23 % res_num_sel_changes: 0
% 152.03/152.23 % res_moves_from_active_to_pass: 0
% 152.03/152.23
% 152.03/152.23 % Status Unsatisfiable
% 152.03/152.23 % SZS status Unsatisfiable
% 152.03/152.23 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------