TSTP Solution File: GEO147+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n007.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 04:41:05 EDT 2022
% Result : Theorem 1.34s 1.59s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(localization,axiom,
! [A] :
( once(A)
=> ! [X] :
? [P] : once(at_the_same_time(A,at(X,P))) ),
input ).
fof(localization_0,plain,
! [A] :
( ~ once(A)
| ! [X] :
? [P] : once(at_the_same_time(A,at(X,P))) ),
inference(orientation,[status(thm)],[localization]) ).
fof(at_on_trajectory,axiom,
! [X,P] :
( once(at(X,P))
<=> incident_o(P,trajectory_of(X)) ),
input ).
fof(at_on_trajectory_0,plain,
! [P,X] :
( once(at(X,P))
| ~ incident_o(P,trajectory_of(X)) ),
inference(orientation,[status(thm)],[at_on_trajectory]) ).
fof(at_on_trajectory_1,plain,
! [P,X] :
( ~ once(at(X,P))
| incident_o(P,trajectory_of(X)) ),
inference(orientation,[status(thm)],[at_on_trajectory]) ).
fof(conjunction_at_the_same_time,axiom,
! [A,B] :
( once(at_the_same_time(A,B))
=> ( once(A)
& once(B) ) ),
input ).
fof(conjunction_at_the_same_time_0,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
| ( once(A)
& once(B) ) ),
inference(orientation,[status(thm)],[conjunction_at_the_same_time]) ).
fof(idempotence_of_at_the_same_time,axiom,
! [A] :
( once(A)
=> once(at_the_same_time(A,A)) ),
input ).
fof(idempotence_of_at_the_same_time_0,plain,
! [A] :
( ~ once(A)
| once(at_the_same_time(A,A)) ),
inference(orientation,[status(thm)],[idempotence_of_at_the_same_time]) ).
fof(assciativity_of_at_the_same_time,axiom,
! [A,B,C] :
( once(at_the_same_time(at_the_same_time(A,B),C))
<=> once(at_the_same_time(A,at_the_same_time(B,C))) ),
input ).
fof(assciativity_of_at_the_same_time_0,plain,
! [A,B,C] :
( once(at_the_same_time(at_the_same_time(A,B),C))
| ~ once(at_the_same_time(A,at_the_same_time(B,C))) ),
inference(orientation,[status(thm)],[assciativity_of_at_the_same_time]) ).
fof(assciativity_of_at_the_same_time_1,plain,
! [A,B,C] :
( ~ once(at_the_same_time(at_the_same_time(A,B),C))
| once(at_the_same_time(A,at_the_same_time(B,C))) ),
inference(orientation,[status(thm)],[assciativity_of_at_the_same_time]) ).
fof(symmetry_of_at_the_same_time,axiom,
! [A,B] :
( once(at_the_same_time(A,B))
<=> once(at_the_same_time(B,A)) ),
input ).
fof(symmetry_of_at_the_same_time_0,plain,
! [A,B] :
( once(at_the_same_time(A,B))
| ~ once(at_the_same_time(B,A)) ),
inference(orientation,[status(thm)],[symmetry_of_at_the_same_time]) ).
fof(symmetry_of_at_the_same_time_1,plain,
! [A,B] :
( ~ once(at_the_same_time(A,B))
| once(at_the_same_time(B,A)) ),
inference(orientation,[status(thm)],[symmetry_of_at_the_same_time]) ).
fof(connect_defn,axiom,
! [X,Y,P] :
( connect(X,Y,P)
<=> once(at_the_same_time(at(X,P),at(Y,P))) ),
input ).
fof(connect_defn_0,plain,
! [P,X,Y] :
( connect(X,Y,P)
| ~ once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(orientation,[status(thm)],[connect_defn]) ).
fof(connect_defn_1,plain,
! [P,X,Y] :
( ~ connect(X,Y,P)
| once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(orientation,[status(thm)],[connect_defn]) ).
fof(underlying_curve_defn,axiom,
! [C,O] :
( C = underlying_curve(O)
<=> ! [P] :
( incident_o(P,O)
<=> incident_c(P,C) ) ),
input ).
fof(underlying_curve_defn_0,plain,
! [C,O] :
( C = underlying_curve(O)
| ~ ! [P] :
( incident_o(P,O)
<=> incident_c(P,C) ) ),
inference(orientation,[status(thm)],[underlying_curve_defn]) ).
fof(underlying_curve_defn_1,plain,
! [C,O] :
( C != underlying_curve(O)
| ! [P] :
( incident_o(P,O)
<=> incident_c(P,C) ) ),
inference(orientation,[status(thm)],[underlying_curve_defn]) ).
fof(o6,axiom,
! [O1,O2] :
( ! [P,Q] :
( ordered_by(O1,P,Q)
<=> ordered_by(O2,P,Q) )
=> O1 = O2 ),
input ).
fof(o6_0,plain,
! [O1,O2] :
( O1 = O2
| ~ ! [P,Q] :
( ordered_by(O1,P,Q)
<=> ordered_by(O2,P,Q) ) ),
inference(orientation,[status(thm)],[o6]) ).
fof(o3,axiom,
! [P,Q,R,O] :
( between_o(O,P,Q,R)
<=> ? [C] :
( ! [P] :
( incident_o(P,O)
<=> incident_c(P,C) )
& between_c(C,P,Q,R) ) ),
input ).
fof(o3_0,plain,
! [O,P,Q,R] :
( between_o(O,P,Q,R)
| ~ ? [C] :
( ! [P] :
( incident_o(P,O)
<=> incident_c(P,C) )
& between_c(C,P,Q,R) ) ),
inference(orientation,[status(thm)],[o3]) ).
fof(o3_1,plain,
! [O,P,Q,R] :
( ~ between_o(O,P,Q,R)
| ? [C] :
( ! [P] :
( incident_o(P,O)
<=> incident_c(P,C) )
& between_c(C,P,Q,R) ) ),
inference(orientation,[status(thm)],[o3]) ).
fof(o1,axiom,
! [O,P,Q] :
( ordered_by(O,P,Q)
=> ( incident_o(P,O)
& incident_o(Q,O) ) ),
input ).
fof(o1_0,plain,
! [O,P,Q] :
( ~ ordered_by(O,P,Q)
| ( incident_o(P,O)
& incident_o(Q,O) ) ),
inference(orientation,[status(thm)],[o1]) ).
fof(finish_point_defn,axiom,
! [P,O] :
( finish_point(P,O)
<=> ( incident_o(P,O)
& ! [Q] :
( ( P != Q
& incident_o(Q,O) )
=> ordered_by(O,Q,P) ) ) ),
input ).
fof(finish_point_defn_0,plain,
! [O,P] :
( finish_point(P,O)
| ~ ( incident_o(P,O)
& ! [Q] :
( ( P != Q
& incident_o(Q,O) )
=> ordered_by(O,Q,P) ) ) ),
inference(orientation,[status(thm)],[finish_point_defn]) ).
fof(finish_point_defn_1,plain,
! [O,P] :
( ~ finish_point(P,O)
| ( incident_o(P,O)
& ! [Q] :
( ( P != Q
& incident_o(Q,O) )
=> ordered_by(O,Q,P) ) ) ),
inference(orientation,[status(thm)],[finish_point_defn]) ).
fof(start_point_defn,axiom,
! [P,O] :
( start_point(P,O)
<=> ( incident_o(P,O)
& ! [Q] :
( ( P != Q
& incident_o(Q,O) )
=> ordered_by(O,P,Q) ) ) ),
input ).
fof(start_point_defn_0,plain,
! [O,P] :
( start_point(P,O)
| ~ ( incident_o(P,O)
& ! [Q] :
( ( P != Q
& incident_o(Q,O) )
=> ordered_by(O,P,Q) ) ) ),
inference(orientation,[status(thm)],[start_point_defn]) ).
fof(start_point_defn_1,plain,
! [O,P] :
( ~ start_point(P,O)
| ( incident_o(P,O)
& ! [Q] :
( ( P != Q
& incident_o(Q,O) )
=> ordered_by(O,P,Q) ) ) ),
inference(orientation,[status(thm)],[start_point_defn]) ).
fof(between_o_defn,axiom,
! [O,P,Q,R] :
( between_o(O,P,Q,R)
<=> ( ( ordered_by(O,P,Q)
& ordered_by(O,Q,R) )
| ( ordered_by(O,R,Q)
& ordered_by(O,Q,P) ) ) ),
input ).
fof(between_o_defn_0,plain,
! [O,P,Q,R] :
( between_o(O,P,Q,R)
| ~ ( ( ordered_by(O,P,Q)
& ordered_by(O,Q,R) )
| ( ordered_by(O,R,Q)
& ordered_by(O,Q,P) ) ) ),
inference(orientation,[status(thm)],[between_o_defn]) ).
fof(between_o_defn_1,plain,
! [O,P,Q,R] :
( ~ between_o(O,P,Q,R)
| ( ordered_by(O,P,Q)
& ordered_by(O,Q,R) )
| ( ordered_by(O,R,Q)
& ordered_by(O,Q,P) ) ),
inference(orientation,[status(thm)],[between_o_defn]) ).
fof(between_c_defn,axiom,
! [C,P,Q,R] :
( between_c(C,P,Q,R)
<=> ( P != R
& ? [Cpp] :
( part_of(Cpp,C)
& end_point(P,Cpp)
& end_point(R,Cpp)
& inner_point(Q,Cpp) ) ) ),
input ).
fof(between_c_defn_0,plain,
! [C,P,Q,R] :
( between_c(C,P,Q,R)
| ~ ( P != R
& ? [Cpp] :
( part_of(Cpp,C)
& end_point(P,Cpp)
& end_point(R,Cpp)
& inner_point(Q,Cpp) ) ) ),
inference(orientation,[status(thm)],[between_c_defn]) ).
fof(between_c_defn_1,plain,
! [C,P,Q,R] :
( ~ between_c(C,P,Q,R)
| ( P != R
& ? [Cpp] :
( part_of(Cpp,C)
& end_point(P,Cpp)
& end_point(R,Cpp)
& inner_point(Q,Cpp) ) ) ),
inference(orientation,[status(thm)],[between_c_defn]) ).
fof(c9,axiom,
! [C,C1] :
( ! [P] :
( incident_c(P,C)
<=> incident_c(P,C1) )
=> C = C1 ),
input ).
fof(c9_0,plain,
! [C,C1] :
( C = C1
| ~ ! [P] :
( incident_c(P,C)
<=> incident_c(P,C1) ) ),
inference(orientation,[status(thm)],[c9]) ).
fof(c6,axiom,
! [C,P] :
( end_point(P,C)
=> ? [Q] :
( end_point(Q,C)
& P != Q ) ),
input ).
fof(c6_0,plain,
! [C,P] :
( ~ end_point(P,C)
| ? [Q] :
( end_point(Q,C)
& P != Q ) ),
inference(orientation,[status(thm)],[c6]) ).
fof(c4,axiom,
! [C,P] :
( inner_point(P,C)
=> ? [C1,C2] :
( meet(P,C1,C2)
& C = sum(C1,C2) ) ),
input ).
fof(c4_0,plain,
! [C,P] :
( ~ inner_point(P,C)
| ? [C1,C2] :
( meet(P,C1,C2)
& C = sum(C1,C2) ) ),
inference(orientation,[status(thm)],[c4]) ).
fof(c1,axiom,
! [C,C1] :
( ( part_of(C1,C)
& C1 != C )
=> open(C1) ),
input ).
fof(c1_0,plain,
! [C,C1] :
( open(C1)
| ~ ( part_of(C1,C)
& C1 != C ) ),
inference(orientation,[status(thm)],[c1]) ).
fof(open_defn,axiom,
! [C] :
( open(C)
<=> ? [P] : end_point(P,C) ),
input ).
fof(open_defn_0,plain,
! [C] :
( open(C)
| ~ ? [P] : end_point(P,C) ),
inference(orientation,[status(thm)],[open_defn]) ).
fof(open_defn_1,plain,
! [C] :
( ~ open(C)
| ? [P] : end_point(P,C) ),
inference(orientation,[status(thm)],[open_defn]) ).
fof(closed_defn,axiom,
! [C] :
( closed(C)
<=> ~ ? [P] : end_point(P,C) ),
input ).
fof(closed_defn_0,plain,
! [C] :
( closed(C)
| ? [P] : end_point(P,C) ),
inference(orientation,[status(thm)],[closed_defn]) ).
fof(closed_defn_1,plain,
! [C] :
( ~ closed(C)
| ~ ? [P] : end_point(P,C) ),
inference(orientation,[status(thm)],[closed_defn]) ).
fof(meet_defn,axiom,
! [P,C,C1] :
( meet(P,C,C1)
<=> ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ( incident_c(Q,C)
& incident_c(Q,C1) )
=> ( end_point(Q,C)
& end_point(Q,C1) ) ) ) ),
input ).
fof(meet_defn_0,plain,
! [C,C1,P] :
( meet(P,C,C1)
| ~ ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ( incident_c(Q,C)
& incident_c(Q,C1) )
=> ( end_point(Q,C)
& end_point(Q,C1) ) ) ) ),
inference(orientation,[status(thm)],[meet_defn]) ).
fof(meet_defn_1,plain,
! [C,C1,P] :
( ~ meet(P,C,C1)
| ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ( incident_c(Q,C)
& incident_c(Q,C1) )
=> ( end_point(Q,C)
& end_point(Q,C1) ) ) ) ),
inference(orientation,[status(thm)],[meet_defn]) ).
fof(inner_point_defn,axiom,
! [P,C] :
( inner_point(P,C)
<=> ( incident_c(P,C)
& ~ end_point(P,C) ) ),
input ).
fof(inner_point_defn_0,plain,
! [C,P] :
( inner_point(P,C)
| ~ ( incident_c(P,C)
& ~ end_point(P,C) ) ),
inference(orientation,[status(thm)],[inner_point_defn]) ).
fof(inner_point_defn_1,plain,
! [C,P] :
( ~ inner_point(P,C)
| ( incident_c(P,C)
& ~ end_point(P,C) ) ),
inference(orientation,[status(thm)],[inner_point_defn]) ).
fof(end_point_defn,axiom,
! [P,C] :
( end_point(P,C)
<=> ( incident_c(P,C)
& ! [C1,C2] :
( ( part_of(C1,C)
& part_of(C2,C)
& incident_c(P,C1)
& incident_c(P,C2) )
=> ( part_of(C1,C2)
| part_of(C2,C1) ) ) ) ),
input ).
fof(end_point_defn_0,plain,
! [C,P] :
( end_point(P,C)
| ~ ( incident_c(P,C)
& ! [C1,C2] :
( ( part_of(C1,C)
& part_of(C2,C)
& incident_c(P,C1)
& incident_c(P,C2) )
=> ( part_of(C1,C2)
| part_of(C2,C1) ) ) ) ),
inference(orientation,[status(thm)],[end_point_defn]) ).
fof(end_point_defn_1,plain,
! [C,P] :
( ~ end_point(P,C)
| ( incident_c(P,C)
& ! [C1,C2] :
( ( part_of(C1,C)
& part_of(C2,C)
& incident_c(P,C1)
& incident_c(P,C2) )
=> ( part_of(C1,C2)
| part_of(C2,C1) ) ) ) ),
inference(orientation,[status(thm)],[end_point_defn]) ).
fof(sum_defn,axiom,
! [C,C1,C2] :
( C = sum(C1,C2)
<=> ! [Q] :
( incident_c(Q,C)
<=> ( incident_c(Q,C1)
| incident_c(Q,C2) ) ) ),
input ).
fof(sum_defn_0,plain,
! [C,C1,C2] :
( C = sum(C1,C2)
| ~ ! [Q] :
( incident_c(Q,C)
<=> ( incident_c(Q,C1)
| incident_c(Q,C2) ) ) ),
inference(orientation,[status(thm)],[sum_defn]) ).
fof(sum_defn_1,plain,
! [C,C1,C2] :
( C != sum(C1,C2)
| ! [Q] :
( incident_c(Q,C)
<=> ( incident_c(Q,C1)
| incident_c(Q,C2) ) ) ),
inference(orientation,[status(thm)],[sum_defn]) ).
fof(part_of_defn,axiom,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
input ).
fof(part_of_defn_0,plain,
! [C,C1] :
( part_of(C1,C)
| ~ ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
inference(orientation,[status(thm)],[part_of_defn]) ).
fof(part_of_defn_1,plain,
! [C,C1] :
( ~ part_of(C1,C)
| ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
inference(orientation,[status(thm)],[part_of_defn]) ).
fof(def_lhs_atom1,axiom,
! [C1,C] :
( lhs_atom1(C1,C)
<=> ~ part_of(C1,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
! [C,C1] :
( lhs_atom1(C1,C)
| ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
inference(fold_definition,[status(thm)],[part_of_defn_1,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [C1,C] :
( lhs_atom2(C1,C)
<=> part_of(C1,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [C,C1] :
( lhs_atom2(C1,C)
| ~ ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
inference(fold_definition,[status(thm)],[part_of_defn_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [C2,C1,C] :
( lhs_atom3(C2,C1,C)
<=> C != sum(C1,C2) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [C,C1,C2] :
( lhs_atom3(C2,C1,C)
| ! [Q] :
( incident_c(Q,C)
<=> ( incident_c(Q,C1)
| incident_c(Q,C2) ) ) ),
inference(fold_definition,[status(thm)],[sum_defn_1,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [C2,C1,C] :
( lhs_atom4(C2,C1,C)
<=> C = sum(C1,C2) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
! [C,C1,C2] :
( lhs_atom4(C2,C1,C)
| ~ ! [Q] :
( incident_c(Q,C)
<=> ( incident_c(Q,C1)
| incident_c(Q,C2) ) ) ),
inference(fold_definition,[status(thm)],[sum_defn_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [P,C] :
( lhs_atom5(P,C)
<=> ~ end_point(P,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
! [C,P] :
( lhs_atom5(P,C)
| ( incident_c(P,C)
& ! [C1,C2] :
( ( part_of(C1,C)
& part_of(C2,C)
& incident_c(P,C1)
& incident_c(P,C2) )
=> ( part_of(C1,C2)
| part_of(C2,C1) ) ) ) ),
inference(fold_definition,[status(thm)],[end_point_defn_1,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [P,C] :
( lhs_atom6(P,C)
<=> end_point(P,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [C,P] :
( lhs_atom6(P,C)
| ~ ( incident_c(P,C)
& ! [C1,C2] :
( ( part_of(C1,C)
& part_of(C2,C)
& incident_c(P,C1)
& incident_c(P,C2) )
=> ( part_of(C1,C2)
| part_of(C2,C1) ) ) ) ),
inference(fold_definition,[status(thm)],[end_point_defn_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [P,C] :
( lhs_atom7(P,C)
<=> ~ inner_point(P,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [C,P] :
( lhs_atom7(P,C)
| ( incident_c(P,C)
& ~ end_point(P,C) ) ),
inference(fold_definition,[status(thm)],[inner_point_defn_1,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [P,C] :
( lhs_atom8(P,C)
<=> inner_point(P,C) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [C,P] :
( lhs_atom8(P,C)
| ~ ( incident_c(P,C)
& ~ end_point(P,C) ) ),
inference(fold_definition,[status(thm)],[inner_point_defn_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [P,C1,C] :
( lhs_atom9(P,C1,C)
<=> ~ meet(P,C,C1) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [C,C1,P] :
( lhs_atom9(P,C1,C)
| ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ( incident_c(Q,C)
& incident_c(Q,C1) )
=> ( end_point(Q,C)
& end_point(Q,C1) ) ) ) ),
inference(fold_definition,[status(thm)],[meet_defn_1,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [P,C1,C] :
( lhs_atom10(P,C1,C)
<=> meet(P,C,C1) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [C,C1,P] :
( lhs_atom10(P,C1,C)
| ~ ( incident_c(P,C)
& incident_c(P,C1)
& ! [Q] :
( ( incident_c(Q,C)
& incident_c(Q,C1) )
=> ( end_point(Q,C)
& end_point(Q,C1) ) ) ) ),
inference(fold_definition,[status(thm)],[meet_defn_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [C] :
( lhs_atom11(C)
<=> ~ closed(C) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [C] :
( lhs_atom11(C)
| ~ ? [P] : end_point(P,C) ),
inference(fold_definition,[status(thm)],[closed_defn_1,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [C] :
( lhs_atom12(C)
<=> closed(C) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
! [C] :
( lhs_atom12(C)
| ? [P] : end_point(P,C) ),
inference(fold_definition,[status(thm)],[closed_defn_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [C] :
( lhs_atom13(C)
<=> ~ open(C) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [C] :
( lhs_atom13(C)
| ? [P] : end_point(P,C) ),
inference(fold_definition,[status(thm)],[open_defn_1,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [C] :
( lhs_atom14(C)
<=> open(C) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [C] :
( lhs_atom14(C)
| ~ ? [P] : end_point(P,C) ),
inference(fold_definition,[status(thm)],[open_defn_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [C1] :
( lhs_atom15(C1)
<=> open(C1) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [C,C1] :
( lhs_atom15(C1)
| ~ ( part_of(C1,C)
& C1 != C ) ),
inference(fold_definition,[status(thm)],[c1_0,def_lhs_atom15]) ).
fof(to_be_clausified_15,plain,
! [C,P] :
( lhs_atom7(P,C)
| ? [C1,C2] :
( meet(P,C1,C2)
& C = sum(C1,C2) ) ),
inference(fold_definition,[status(thm)],[c4_0,def_lhs_atom7]) ).
fof(to_be_clausified_16,plain,
! [C,P] :
( lhs_atom5(P,C)
| ? [Q] :
( end_point(Q,C)
& P != Q ) ),
inference(fold_definition,[status(thm)],[c6_0,def_lhs_atom5]) ).
fof(def_lhs_atom16,axiom,
! [C1,C] :
( lhs_atom16(C1,C)
<=> C = C1 ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [C,C1] :
( lhs_atom16(C1,C)
| ~ ! [P] :
( incident_c(P,C)
<=> incident_c(P,C1) ) ),
inference(fold_definition,[status(thm)],[c9_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [R,Q,P,C] :
( lhs_atom17(R,Q,P,C)
<=> ~ between_c(C,P,Q,R) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
! [C,P,Q,R] :
( lhs_atom17(R,Q,P,C)
| ( P != R
& ? [Cpp] :
( part_of(Cpp,C)
& end_point(P,Cpp)
& end_point(R,Cpp)
& inner_point(Q,Cpp) ) ) ),
inference(fold_definition,[status(thm)],[between_c_defn_1,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [R,Q,P,C] :
( lhs_atom18(R,Q,P,C)
<=> between_c(C,P,Q,R) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
! [C,P,Q,R] :
( lhs_atom18(R,Q,P,C)
| ~ ( P != R
& ? [Cpp] :
( part_of(Cpp,C)
& end_point(P,Cpp)
& end_point(R,Cpp)
& inner_point(Q,Cpp) ) ) ),
inference(fold_definition,[status(thm)],[between_c_defn_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [R,Q,P,O] :
( lhs_atom19(R,Q,P,O)
<=> ~ between_o(O,P,Q,R) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [O,P,Q,R] :
( lhs_atom19(R,Q,P,O)
| ( ordered_by(O,P,Q)
& ordered_by(O,Q,R) )
| ( ordered_by(O,R,Q)
& ordered_by(O,Q,P) ) ),
inference(fold_definition,[status(thm)],[between_o_defn_1,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [R,Q,P,O] :
( lhs_atom20(R,Q,P,O)
<=> between_o(O,P,Q,R) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [O,P,Q,R] :
( lhs_atom20(R,Q,P,O)
| ~ ( ( ordered_by(O,P,Q)
& ordered_by(O,Q,R) )
| ( ordered_by(O,R,Q)
& ordered_by(O,Q,P) ) ) ),
inference(fold_definition,[status(thm)],[between_o_defn_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [P,O] :
( lhs_atom21(P,O)
<=> ~ start_point(P,O) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
! [O,P] :
( lhs_atom21(P,O)
| ( incident_o(P,O)
& ! [Q] :
( ( P != Q
& incident_o(Q,O) )
=> ordered_by(O,P,Q) ) ) ),
inference(fold_definition,[status(thm)],[start_point_defn_1,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [P,O] :
( lhs_atom22(P,O)
<=> start_point(P,O) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [O,P] :
( lhs_atom22(P,O)
| ~ ( incident_o(P,O)
& ! [Q] :
( ( P != Q
& incident_o(Q,O) )
=> ordered_by(O,P,Q) ) ) ),
inference(fold_definition,[status(thm)],[start_point_defn_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [P,O] :
( lhs_atom23(P,O)
<=> ~ finish_point(P,O) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [O,P] :
( lhs_atom23(P,O)
| ( incident_o(P,O)
& ! [Q] :
( ( P != Q
& incident_o(Q,O) )
=> ordered_by(O,Q,P) ) ) ),
inference(fold_definition,[status(thm)],[finish_point_defn_1,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [P,O] :
( lhs_atom24(P,O)
<=> finish_point(P,O) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [O,P] :
( lhs_atom24(P,O)
| ~ ( incident_o(P,O)
& ! [Q] :
( ( P != Q
& incident_o(Q,O) )
=> ordered_by(O,Q,P) ) ) ),
inference(fold_definition,[status(thm)],[finish_point_defn_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [Q,P,O] :
( lhs_atom25(Q,P,O)
<=> ~ ordered_by(O,P,Q) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [O,P,Q] :
( lhs_atom25(Q,P,O)
| ( incident_o(P,O)
& incident_o(Q,O) ) ),
inference(fold_definition,[status(thm)],[o1_0,def_lhs_atom25]) ).
fof(to_be_clausified_27,plain,
! [O,P,Q,R] :
( lhs_atom19(R,Q,P,O)
| ? [C] :
( ! [P] :
( incident_o(P,O)
<=> incident_c(P,C) )
& between_c(C,P,Q,R) ) ),
inference(fold_definition,[status(thm)],[o3_1,def_lhs_atom19]) ).
fof(to_be_clausified_28,plain,
! [O,P,Q,R] :
( lhs_atom20(R,Q,P,O)
| ~ ? [C] :
( ! [P] :
( incident_o(P,O)
<=> incident_c(P,C) )
& between_c(C,P,Q,R) ) ),
inference(fold_definition,[status(thm)],[o3_0,def_lhs_atom20]) ).
fof(def_lhs_atom26,axiom,
! [O2,O1] :
( lhs_atom26(O2,O1)
<=> O1 = O2 ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
! [O1,O2] :
( lhs_atom26(O2,O1)
| ~ ! [P,Q] :
( ordered_by(O1,P,Q)
<=> ordered_by(O2,P,Q) ) ),
inference(fold_definition,[status(thm)],[o6_0,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
! [O,C] :
( lhs_atom27(O,C)
<=> C != underlying_curve(O) ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
! [C,O] :
( lhs_atom27(O,C)
| ! [P] :
( incident_o(P,O)
<=> incident_c(P,C) ) ),
inference(fold_definition,[status(thm)],[underlying_curve_defn_1,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [O,C] :
( lhs_atom28(O,C)
<=> C = underlying_curve(O) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
! [C,O] :
( lhs_atom28(O,C)
| ~ ! [P] :
( incident_o(P,O)
<=> incident_c(P,C) ) ),
inference(fold_definition,[status(thm)],[underlying_curve_defn_0,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [Y,X,P] :
( lhs_atom29(Y,X,P)
<=> ~ connect(X,Y,P) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
! [P,X,Y] :
( lhs_atom29(Y,X,P)
| once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(fold_definition,[status(thm)],[connect_defn_1,def_lhs_atom29]) ).
fof(def_lhs_atom30,axiom,
! [Y,X,P] :
( lhs_atom30(Y,X,P)
<=> connect(X,Y,P) ),
inference(definition,[],]) ).
fof(to_be_clausified_33,plain,
! [P,X,Y] :
( lhs_atom30(Y,X,P)
| ~ once(at_the_same_time(at(X,P),at(Y,P))) ),
inference(fold_definition,[status(thm)],[connect_defn_0,def_lhs_atom30]) ).
fof(def_lhs_atom31,axiom,
! [B,A] :
( lhs_atom31(B,A)
<=> ~ once(at_the_same_time(A,B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_34,plain,
! [A,B] :
( lhs_atom31(B,A)
| once(at_the_same_time(B,A)) ),
inference(fold_definition,[status(thm)],[symmetry_of_at_the_same_time_1,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
! [B,A] :
( lhs_atom32(B,A)
<=> once(at_the_same_time(A,B)) ),
inference(definition,[],]) ).
fof(to_be_clausified_35,plain,
! [A,B] :
( lhs_atom32(B,A)
| ~ once(at_the_same_time(B,A)) ),
inference(fold_definition,[status(thm)],[symmetry_of_at_the_same_time_0,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
! [C,B,A] :
( lhs_atom33(C,B,A)
<=> ~ once(at_the_same_time(at_the_same_time(A,B),C)) ),
inference(definition,[],]) ).
fof(to_be_clausified_36,plain,
! [A,B,C] :
( lhs_atom33(C,B,A)
| once(at_the_same_time(A,at_the_same_time(B,C))) ),
inference(fold_definition,[status(thm)],[assciativity_of_at_the_same_time_1,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
! [C,B,A] :
( lhs_atom34(C,B,A)
<=> once(at_the_same_time(at_the_same_time(A,B),C)) ),
inference(definition,[],]) ).
fof(to_be_clausified_37,plain,
! [A,B,C] :
( lhs_atom34(C,B,A)
| ~ once(at_the_same_time(A,at_the_same_time(B,C))) ),
inference(fold_definition,[status(thm)],[assciativity_of_at_the_same_time_0,def_lhs_atom34]) ).
fof(def_lhs_atom35,axiom,
! [A] :
( lhs_atom35(A)
<=> ~ once(A) ),
inference(definition,[],]) ).
fof(to_be_clausified_38,plain,
! [A] :
( lhs_atom35(A)
| once(at_the_same_time(A,A)) ),
inference(fold_definition,[status(thm)],[idempotence_of_at_the_same_time_0,def_lhs_atom35]) ).
fof(to_be_clausified_39,plain,
! [A,B] :
( lhs_atom31(B,A)
| ( once(A)
& once(B) ) ),
inference(fold_definition,[status(thm)],[conjunction_at_the_same_time_0,def_lhs_atom31]) ).
fof(def_lhs_atom36,axiom,
! [X,P] :
( lhs_atom36(X,P)
<=> ~ once(at(X,P)) ),
inference(definition,[],]) ).
fof(to_be_clausified_40,plain,
! [P,X] :
( lhs_atom36(X,P)
| incident_o(P,trajectory_of(X)) ),
inference(fold_definition,[status(thm)],[at_on_trajectory_1,def_lhs_atom36]) ).
fof(def_lhs_atom37,axiom,
! [X,P] :
( lhs_atom37(X,P)
<=> once(at(X,P)) ),
inference(definition,[],]) ).
fof(to_be_clausified_41,plain,
! [P,X] :
( lhs_atom37(X,P)
| ~ incident_o(P,trajectory_of(X)) ),
inference(fold_definition,[status(thm)],[at_on_trajectory_0,def_lhs_atom37]) ).
fof(to_be_clausified_42,plain,
! [A] :
( lhs_atom35(A)
| ! [X] :
? [P] : once(at_the_same_time(A,at(X,P))) ),
inference(fold_definition,[status(thm)],[localization_0,def_lhs_atom35]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X6,X5,X3,X8] :
( lhs_atom20(X6,X5,X3,X8)
| ~ ? [X2] :
( ! [X3] :
( incident_o(X3,X8)
<=> incident_c(X3,X2) )
& between_c(X2,X3,X5,X6) ) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_1,axiom,
! [X6,X5,X3,X8] :
( lhs_atom19(X6,X5,X3,X8)
| ? [X2] :
( ! [X3] :
( incident_o(X3,X8)
<=> incident_c(X3,X2) )
& between_c(X2,X3,X5,X6) ) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_2,axiom,
! [X6,X5,X3,X2] :
( lhs_atom17(X6,X5,X3,X2)
| ( X3 != X6
& ? [X7] :
( part_of(X7,X2)
& end_point(X3,X7)
& end_point(X6,X7)
& inner_point(X5,X7) ) ) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_3,axiom,
! [X3,X1,X2] :
( lhs_atom10(X3,X1,X2)
| ~ ( incident_c(X3,X2)
& incident_c(X3,X1)
& ! [X5] :
( ( incident_c(X5,X2)
& incident_c(X5,X1) )
=> ( end_point(X5,X2)
& end_point(X5,X1) ) ) ) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_4,axiom,
! [X4,X1,X2] :
( lhs_atom4(X4,X1,X2)
| ~ ! [X5] :
( incident_c(X5,X2)
<=> ( incident_c(X5,X1)
| incident_c(X5,X4) ) ) ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_5,axiom,
! [X6,X5,X3,X8] :
( lhs_atom20(X6,X5,X3,X8)
| ~ ( ( ordered_by(X8,X3,X5)
& ordered_by(X8,X5,X6) )
| ( ordered_by(X8,X6,X5)
& ordered_by(X8,X5,X3) ) ) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_6,axiom,
! [X6,X5,X3,X8] :
( lhs_atom19(X6,X5,X3,X8)
| ( ordered_by(X8,X3,X5)
& ordered_by(X8,X5,X6) )
| ( ordered_by(X8,X6,X5)
& ordered_by(X8,X5,X3) ) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_7,axiom,
! [X9,X10] :
( lhs_atom26(X9,X10)
| ~ ! [X3,X5] :
( ordered_by(X10,X3,X5)
<=> ordered_by(X9,X3,X5) ) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_8,axiom,
! [X6,X5,X3,X2] :
( lhs_atom18(X6,X5,X3,X2)
| ~ ( X3 != X6
& ? [X7] :
( part_of(X7,X2)
& end_point(X3,X7)
& end_point(X6,X7)
& inner_point(X5,X7) ) ) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_9,axiom,
! [X11,X12,X3] :
( lhs_atom30(X11,X12,X3)
| ~ once(at_the_same_time(at(X12,X3),at(X11,X3))) ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_10,axiom,
! [X14] :
( lhs_atom35(X14)
| ! [X12] :
? [X3] : once(at_the_same_time(X14,at(X12,X3))) ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_11,axiom,
! [X11,X12,X3] :
( lhs_atom29(X11,X12,X3)
| once(at_the_same_time(at(X12,X3),at(X11,X3))) ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_12,axiom,
! [X2,X13,X14] :
( lhs_atom34(X2,X13,X14)
| ~ once(at_the_same_time(X14,at_the_same_time(X13,X2))) ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_13,axiom,
! [X3,X8] :
( lhs_atom24(X3,X8)
| ~ ( incident_o(X3,X8)
& ! [X5] :
( ( X3 != X5
& incident_o(X5,X8) )
=> ordered_by(X8,X5,X3) ) ) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_14,axiom,
! [X3,X8] :
( lhs_atom22(X3,X8)
| ~ ( incident_o(X3,X8)
& ! [X5] :
( ( X3 != X5
& incident_o(X5,X8) )
=> ordered_by(X8,X3,X5) ) ) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_15,axiom,
! [X8,X2] :
( lhs_atom28(X8,X2)
| ~ ! [X3] :
( incident_o(X3,X8)
<=> incident_c(X3,X2) ) ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_16,axiom,
! [X1,X2] :
( lhs_atom16(X1,X2)
| ~ ! [X3] :
( incident_c(X3,X2)
<=> incident_c(X3,X1) ) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_17,axiom,
! [X3,X2] :
( lhs_atom6(X3,X2)
| ~ ( incident_c(X3,X2)
& ! [X1,X4] :
( ( part_of(X1,X2)
& part_of(X4,X2)
& incident_c(X3,X1)
& incident_c(X3,X4) )
=> ( part_of(X1,X4)
| part_of(X4,X1) ) ) ) ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_18,axiom,
! [X2,X13,X14] :
( lhs_atom33(X2,X13,X14)
| once(at_the_same_time(X14,at_the_same_time(X13,X2))) ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_19,axiom,
! [X3,X2] :
( lhs_atom5(X3,X2)
| ( incident_c(X3,X2)
& ! [X1,X4] :
( ( part_of(X1,X2)
& part_of(X4,X2)
& incident_c(X3,X1)
& incident_c(X3,X4) )
=> ( part_of(X1,X4)
| part_of(X4,X1) ) ) ) ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_20,axiom,
! [X3,X2] :
( lhs_atom7(X3,X2)
| ? [X1,X4] :
( meet(X3,X1,X4)
& X2 = sum(X1,X4) ) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_21,axiom,
! [X3,X1,X2] :
( lhs_atom9(X3,X1,X2)
| ( incident_c(X3,X2)
& incident_c(X3,X1)
& ! [X5] :
( ( incident_c(X5,X2)
& incident_c(X5,X1) )
=> ( end_point(X5,X2)
& end_point(X5,X1) ) ) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_22,axiom,
! [X4,X1,X2] :
( lhs_atom3(X4,X1,X2)
| ! [X5] :
( incident_c(X5,X2)
<=> ( incident_c(X5,X1)
| incident_c(X5,X4) ) ) ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_23,axiom,
! [X3,X8] :
( lhs_atom23(X3,X8)
| ( incident_o(X3,X8)
& ! [X5] :
( ( X3 != X5
& incident_o(X5,X8) )
=> ordered_by(X8,X5,X3) ) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_24,axiom,
! [X3,X8] :
( lhs_atom21(X3,X8)
| ( incident_o(X3,X8)
& ! [X5] :
( ( X3 != X5
& incident_o(X5,X8) )
=> ordered_by(X8,X3,X5) ) ) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_25,axiom,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ ! [X3] :
( incident_c(X3,X1)
=> incident_c(X3,X2) ) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_26,axiom,
! [X5,X3,X8] :
( lhs_atom25(X5,X3,X8)
| ( incident_o(X3,X8)
& incident_o(X5,X8) ) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_27,axiom,
! [X13,X14] :
( lhs_atom32(X13,X14)
| ~ once(at_the_same_time(X13,X14)) ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_28,axiom,
! [X3,X2] :
( lhs_atom5(X3,X2)
| ? [X5] :
( end_point(X5,X2)
& X3 != X5 ) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_29,axiom,
! [X8,X2] :
( lhs_atom27(X8,X2)
| ! [X3] :
( incident_o(X3,X8)
<=> incident_c(X3,X2) ) ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_30,axiom,
! [X3,X2] :
( lhs_atom8(X3,X2)
| ~ ( incident_c(X3,X2)
& ~ end_point(X3,X2) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_31,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ! [X3] :
( incident_c(X3,X1)
=> incident_c(X3,X2) ) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_32,axiom,
! [X12,X3] :
( lhs_atom37(X12,X3)
| ~ incident_o(X3,trajectory_of(X12)) ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_33,axiom,
! [X13,X14] :
( lhs_atom31(X13,X14)
| once(at_the_same_time(X13,X14)) ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_34,axiom,
! [X3,X2] :
( lhs_atom7(X3,X2)
| ( incident_c(X3,X2)
& ~ end_point(X3,X2) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_35,axiom,
! [X12,X3] :
( lhs_atom36(X12,X3)
| incident_o(X3,trajectory_of(X12)) ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_36,axiom,
! [X14] :
( lhs_atom35(X14)
| once(at_the_same_time(X14,X14)) ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_37,axiom,
! [X1,X2] :
( lhs_atom15(X1)
| ~ ( part_of(X1,X2)
& X1 != X2 ) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_38,axiom,
! [X2] :
( lhs_atom14(X2)
| ~ ? [X3] : end_point(X3,X2) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_39,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ ? [X3] : end_point(X3,X2) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_40,axiom,
! [X2] :
( lhs_atom13(X2)
| ? [X3] : end_point(X3,X2) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_41,axiom,
! [X2] :
( lhs_atom12(X2)
| ? [X3] : end_point(X3,X2) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_42,axiom,
! [X13,X14] :
( lhs_atom31(X13,X14)
| ( once(X14)
& once(X13) ) ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_43,axiom,
! [X6,X5,X3,X8] :
( lhs_atom20(X6,X5,X3,X8)
| ~ ? [X2] :
( ! [X3] :
( incident_o(X3,X8)
<=> incident_c(X3,X2) )
& between_c(X2,X3,X5,X6) ) ),
c_0_0 ).
fof(c_0_44,axiom,
! [X6,X5,X3,X8] :
( lhs_atom19(X6,X5,X3,X8)
| ? [X2] :
( ! [X3] :
( incident_o(X3,X8)
<=> incident_c(X3,X2) )
& between_c(X2,X3,X5,X6) ) ),
c_0_1 ).
fof(c_0_45,axiom,
! [X6,X5,X3,X2] :
( lhs_atom17(X6,X5,X3,X2)
| ( X3 != X6
& ? [X7] :
( part_of(X7,X2)
& end_point(X3,X7)
& end_point(X6,X7)
& inner_point(X5,X7) ) ) ),
c_0_2 ).
fof(c_0_46,axiom,
! [X3,X1,X2] :
( lhs_atom10(X3,X1,X2)
| ~ ( incident_c(X3,X2)
& incident_c(X3,X1)
& ! [X5] :
( ( incident_c(X5,X2)
& incident_c(X5,X1) )
=> ( end_point(X5,X2)
& end_point(X5,X1) ) ) ) ),
c_0_3 ).
fof(c_0_47,axiom,
! [X4,X1,X2] :
( lhs_atom4(X4,X1,X2)
| ~ ! [X5] :
( incident_c(X5,X2)
<=> ( incident_c(X5,X1)
| incident_c(X5,X4) ) ) ),
c_0_4 ).
fof(c_0_48,axiom,
! [X6,X5,X3,X8] :
( lhs_atom20(X6,X5,X3,X8)
| ~ ( ( ordered_by(X8,X3,X5)
& ordered_by(X8,X5,X6) )
| ( ordered_by(X8,X6,X5)
& ordered_by(X8,X5,X3) ) ) ),
c_0_5 ).
fof(c_0_49,axiom,
! [X6,X5,X3,X8] :
( lhs_atom19(X6,X5,X3,X8)
| ( ordered_by(X8,X3,X5)
& ordered_by(X8,X5,X6) )
| ( ordered_by(X8,X6,X5)
& ordered_by(X8,X5,X3) ) ),
c_0_6 ).
fof(c_0_50,axiom,
! [X9,X10] :
( lhs_atom26(X9,X10)
| ~ ! [X3,X5] :
( ordered_by(X10,X3,X5)
<=> ordered_by(X9,X3,X5) ) ),
c_0_7 ).
fof(c_0_51,axiom,
! [X6,X5,X3,X2] :
( lhs_atom18(X6,X5,X3,X2)
| ~ ( X3 != X6
& ? [X7] :
( part_of(X7,X2)
& end_point(X3,X7)
& end_point(X6,X7)
& inner_point(X5,X7) ) ) ),
c_0_8 ).
fof(c_0_52,plain,
! [X11,X12,X3] :
( lhs_atom30(X11,X12,X3)
| ~ once(at_the_same_time(at(X12,X3),at(X11,X3))) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_53,axiom,
! [X14] :
( lhs_atom35(X14)
| ! [X12] :
? [X3] : once(at_the_same_time(X14,at(X12,X3))) ),
c_0_10 ).
fof(c_0_54,axiom,
! [X11,X12,X3] :
( lhs_atom29(X11,X12,X3)
| once(at_the_same_time(at(X12,X3),at(X11,X3))) ),
c_0_11 ).
fof(c_0_55,plain,
! [X2,X13,X14] :
( lhs_atom34(X2,X13,X14)
| ~ once(at_the_same_time(X14,at_the_same_time(X13,X2))) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_56,axiom,
! [X3,X8] :
( lhs_atom24(X3,X8)
| ~ ( incident_o(X3,X8)
& ! [X5] :
( ( X3 != X5
& incident_o(X5,X8) )
=> ordered_by(X8,X5,X3) ) ) ),
c_0_13 ).
fof(c_0_57,axiom,
! [X3,X8] :
( lhs_atom22(X3,X8)
| ~ ( incident_o(X3,X8)
& ! [X5] :
( ( X3 != X5
& incident_o(X5,X8) )
=> ordered_by(X8,X3,X5) ) ) ),
c_0_14 ).
fof(c_0_58,axiom,
! [X8,X2] :
( lhs_atom28(X8,X2)
| ~ ! [X3] :
( incident_o(X3,X8)
<=> incident_c(X3,X2) ) ),
c_0_15 ).
fof(c_0_59,axiom,
! [X1,X2] :
( lhs_atom16(X1,X2)
| ~ ! [X3] :
( incident_c(X3,X2)
<=> incident_c(X3,X1) ) ),
c_0_16 ).
fof(c_0_60,axiom,
! [X3,X2] :
( lhs_atom6(X3,X2)
| ~ ( incident_c(X3,X2)
& ! [X1,X4] :
( ( part_of(X1,X2)
& part_of(X4,X2)
& incident_c(X3,X1)
& incident_c(X3,X4) )
=> ( part_of(X1,X4)
| part_of(X4,X1) ) ) ) ),
c_0_17 ).
fof(c_0_61,axiom,
! [X2,X13,X14] :
( lhs_atom33(X2,X13,X14)
| once(at_the_same_time(X14,at_the_same_time(X13,X2))) ),
c_0_18 ).
fof(c_0_62,axiom,
! [X3,X2] :
( lhs_atom5(X3,X2)
| ( incident_c(X3,X2)
& ! [X1,X4] :
( ( part_of(X1,X2)
& part_of(X4,X2)
& incident_c(X3,X1)
& incident_c(X3,X4) )
=> ( part_of(X1,X4)
| part_of(X4,X1) ) ) ) ),
c_0_19 ).
fof(c_0_63,axiom,
! [X3,X2] :
( lhs_atom7(X3,X2)
| ? [X1,X4] :
( meet(X3,X1,X4)
& X2 = sum(X1,X4) ) ),
c_0_20 ).
fof(c_0_64,axiom,
! [X3,X1,X2] :
( lhs_atom9(X3,X1,X2)
| ( incident_c(X3,X2)
& incident_c(X3,X1)
& ! [X5] :
( ( incident_c(X5,X2)
& incident_c(X5,X1) )
=> ( end_point(X5,X2)
& end_point(X5,X1) ) ) ) ),
c_0_21 ).
fof(c_0_65,axiom,
! [X4,X1,X2] :
( lhs_atom3(X4,X1,X2)
| ! [X5] :
( incident_c(X5,X2)
<=> ( incident_c(X5,X1)
| incident_c(X5,X4) ) ) ),
c_0_22 ).
fof(c_0_66,axiom,
! [X3,X8] :
( lhs_atom23(X3,X8)
| ( incident_o(X3,X8)
& ! [X5] :
( ( X3 != X5
& incident_o(X5,X8) )
=> ordered_by(X8,X5,X3) ) ) ),
c_0_23 ).
fof(c_0_67,axiom,
! [X3,X8] :
( lhs_atom21(X3,X8)
| ( incident_o(X3,X8)
& ! [X5] :
( ( X3 != X5
& incident_o(X5,X8) )
=> ordered_by(X8,X3,X5) ) ) ),
c_0_24 ).
fof(c_0_68,axiom,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ ! [X3] :
( incident_c(X3,X1)
=> incident_c(X3,X2) ) ),
c_0_25 ).
fof(c_0_69,axiom,
! [X5,X3,X8] :
( lhs_atom25(X5,X3,X8)
| ( incident_o(X3,X8)
& incident_o(X5,X8) ) ),
c_0_26 ).
fof(c_0_70,plain,
! [X13,X14] :
( lhs_atom32(X13,X14)
| ~ once(at_the_same_time(X13,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_71,axiom,
! [X3,X2] :
( lhs_atom5(X3,X2)
| ? [X5] :
( end_point(X5,X2)
& X3 != X5 ) ),
c_0_28 ).
fof(c_0_72,axiom,
! [X8,X2] :
( lhs_atom27(X8,X2)
| ! [X3] :
( incident_o(X3,X8)
<=> incident_c(X3,X2) ) ),
c_0_29 ).
fof(c_0_73,plain,
! [X3,X2] :
( lhs_atom8(X3,X2)
| ~ ( incident_c(X3,X2)
& ~ end_point(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_74,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ! [X3] :
( incident_c(X3,X1)
=> incident_c(X3,X2) ) ),
c_0_31 ).
fof(c_0_75,plain,
! [X12,X3] :
( lhs_atom37(X12,X3)
| ~ incident_o(X3,trajectory_of(X12)) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_76,axiom,
! [X13,X14] :
( lhs_atom31(X13,X14)
| once(at_the_same_time(X13,X14)) ),
c_0_33 ).
fof(c_0_77,plain,
! [X3,X2] :
( lhs_atom7(X3,X2)
| ( incident_c(X3,X2)
& ~ end_point(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_78,axiom,
! [X12,X3] :
( lhs_atom36(X12,X3)
| incident_o(X3,trajectory_of(X12)) ),
c_0_35 ).
fof(c_0_79,axiom,
! [X14] :
( lhs_atom35(X14)
| once(at_the_same_time(X14,X14)) ),
c_0_36 ).
fof(c_0_80,axiom,
! [X1,X2] :
( lhs_atom15(X1)
| ~ ( part_of(X1,X2)
& X1 != X2 ) ),
c_0_37 ).
fof(c_0_81,axiom,
! [X2] :
( lhs_atom14(X2)
| ~ ? [X3] : end_point(X3,X2) ),
c_0_38 ).
fof(c_0_82,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ ? [X3] : end_point(X3,X2) ),
c_0_39 ).
fof(c_0_83,axiom,
! [X2] :
( lhs_atom13(X2)
| ? [X3] : end_point(X3,X2) ),
c_0_40 ).
fof(c_0_84,axiom,
! [X2] :
( lhs_atom12(X2)
| ? [X3] : end_point(X3,X2) ),
c_0_41 ).
fof(c_0_85,axiom,
! [X13,X14] :
( lhs_atom31(X13,X14)
| ( once(X14)
& once(X13) ) ),
c_0_42 ).
fof(c_0_86,plain,
! [X9,X10,X11,X12,X13] :
( ( ~ incident_o(esk16_5(X9,X10,X11,X12,X13),X12)
| ~ incident_c(esk16_5(X9,X10,X11,X12,X13),X13)
| ~ between_c(X13,X11,X10,X9)
| lhs_atom20(X9,X10,X11,X12) )
& ( incident_o(esk16_5(X9,X10,X11,X12,X13),X12)
| incident_c(esk16_5(X9,X10,X11,X12,X13),X13)
| ~ between_c(X13,X11,X10,X9)
| lhs_atom20(X9,X10,X11,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])]) ).
fof(c_0_87,plain,
! [X9,X10,X11,X12,X14,X15] :
( ( ~ incident_o(X14,X12)
| incident_c(X14,esk15_4(X9,X10,X11,X12))
| lhs_atom19(X9,X10,X11,X12) )
& ( ~ incident_c(X15,esk15_4(X9,X10,X11,X12))
| incident_o(X15,X12)
| lhs_atom19(X9,X10,X11,X12) )
& ( between_c(esk15_4(X9,X10,X11,X12),X11,X10,X9)
| lhs_atom19(X9,X10,X11,X12) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])])])]) ).
fof(c_0_88,plain,
! [X8,X9,X10,X11] :
( ( X10 != X8
| lhs_atom17(X8,X9,X10,X11) )
& ( part_of(esk12_4(X8,X9,X10,X11),X11)
| lhs_atom17(X8,X9,X10,X11) )
& ( end_point(X10,esk12_4(X8,X9,X10,X11))
| lhs_atom17(X8,X9,X10,X11) )
& ( end_point(X8,esk12_4(X8,X9,X10,X11))
| lhs_atom17(X8,X9,X10,X11) )
& ( inner_point(X9,esk12_4(X8,X9,X10,X11))
| lhs_atom17(X8,X9,X10,X11) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_45])])]) ).
fof(c_0_89,plain,
! [X6,X7,X8] :
( ( incident_c(esk5_3(X6,X7,X8),X8)
| ~ incident_c(X6,X7)
| ~ incident_c(X6,X8)
| lhs_atom10(X6,X7,X8) )
& ( incident_c(esk5_3(X6,X7,X8),X7)
| ~ incident_c(X6,X7)
| ~ incident_c(X6,X8)
| lhs_atom10(X6,X7,X8) )
& ( ~ end_point(esk5_3(X6,X7,X8),X8)
| ~ end_point(esk5_3(X6,X7,X8),X7)
| ~ incident_c(X6,X7)
| ~ incident_c(X6,X8)
| lhs_atom10(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
fof(c_0_90,plain,
! [X6,X7,X8] :
( ( ~ incident_c(esk2_3(X6,X7,X8),X7)
| ~ incident_c(esk2_3(X6,X7,X8),X8)
| lhs_atom4(X6,X7,X8) )
& ( ~ incident_c(esk2_3(X6,X7,X8),X6)
| ~ incident_c(esk2_3(X6,X7,X8),X8)
| lhs_atom4(X6,X7,X8) )
& ( incident_c(esk2_3(X6,X7,X8),X8)
| incident_c(esk2_3(X6,X7,X8),X7)
| incident_c(esk2_3(X6,X7,X8),X6)
| lhs_atom4(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])])]) ).
fof(c_0_91,plain,
! [X9,X10,X11,X12] :
( ( ~ ordered_by(X12,X11,X10)
| ~ ordered_by(X12,X10,X9)
| lhs_atom20(X9,X10,X11,X12) )
& ( ~ ordered_by(X12,X9,X10)
| ~ ordered_by(X12,X10,X11)
| lhs_atom20(X9,X10,X11,X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])]) ).
fof(c_0_92,plain,
! [X9,X10,X11,X12] :
( ( ordered_by(X12,X9,X10)
| ordered_by(X12,X11,X10)
| lhs_atom19(X9,X10,X11,X12) )
& ( ordered_by(X12,X10,X11)
| ordered_by(X12,X11,X10)
| lhs_atom19(X9,X10,X11,X12) )
& ( ordered_by(X12,X9,X10)
| ordered_by(X12,X10,X9)
| lhs_atom19(X9,X10,X11,X12) )
& ( ordered_by(X12,X10,X11)
| ordered_by(X12,X10,X9)
| lhs_atom19(X9,X10,X11,X12) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_49])]) ).
fof(c_0_93,plain,
! [X11,X12] :
( ( ~ ordered_by(X12,esk17_2(X11,X12),esk18_2(X11,X12))
| ~ ordered_by(X11,esk17_2(X11,X12),esk18_2(X11,X12))
| lhs_atom26(X11,X12) )
& ( ordered_by(X12,esk17_2(X11,X12),esk18_2(X11,X12))
| ordered_by(X11,esk17_2(X11,X12),esk18_2(X11,X12))
| lhs_atom26(X11,X12) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
fof(c_0_94,plain,
! [X8,X9,X10,X11,X12] :
( lhs_atom18(X8,X9,X10,X11)
| X10 = X8
| ~ part_of(X12,X11)
| ~ end_point(X10,X12)
| ~ end_point(X8,X12)
| ~ inner_point(X9,X12) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
fof(c_0_95,plain,
! [X13,X14,X15] :
( lhs_atom30(X13,X14,X15)
| ~ once(at_the_same_time(at(X14,X15),at(X13,X15))) ),
inference(variable_rename,[status(thm)],[c_0_52]) ).
fof(c_0_96,plain,
! [X15,X16] :
( lhs_atom35(X15)
| once(at_the_same_time(X15,at(X16,esk20_2(X15,X16)))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_53])])]) ).
fof(c_0_97,plain,
! [X13,X14,X15] :
( lhs_atom29(X13,X14,X15)
| once(at_the_same_time(at(X14,X15),at(X13,X15))) ),
inference(variable_rename,[status(thm)],[c_0_54]) ).
fof(c_0_98,plain,
! [X15,X16,X17] :
( lhs_atom34(X15,X16,X17)
| ~ once(at_the_same_time(X17,at_the_same_time(X16,X15))) ),
inference(variable_rename,[status(thm)],[c_0_55]) ).
fof(c_0_99,plain,
! [X9,X10] :
( ( X9 != esk14_2(X9,X10)
| ~ incident_o(X9,X10)
| lhs_atom24(X9,X10) )
& ( incident_o(esk14_2(X9,X10),X10)
| ~ incident_o(X9,X10)
| lhs_atom24(X9,X10) )
& ( ~ ordered_by(X10,esk14_2(X9,X10),X9)
| ~ incident_o(X9,X10)
| lhs_atom24(X9,X10) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])]) ).
fof(c_0_100,plain,
! [X9,X10] :
( ( X9 != esk13_2(X9,X10)
| ~ incident_o(X9,X10)
| lhs_atom22(X9,X10) )
& ( incident_o(esk13_2(X9,X10),X10)
| ~ incident_o(X9,X10)
| lhs_atom22(X9,X10) )
& ( ~ ordered_by(X10,X9,esk13_2(X9,X10))
| ~ incident_o(X9,X10)
| lhs_atom22(X9,X10) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])]) ).
fof(c_0_101,plain,
! [X9,X10] :
( ( ~ incident_o(esk19_2(X9,X10),X9)
| ~ incident_c(esk19_2(X9,X10),X10)
| lhs_atom28(X9,X10) )
& ( incident_o(esk19_2(X9,X10),X9)
| incident_c(esk19_2(X9,X10),X10)
| lhs_atom28(X9,X10) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).
fof(c_0_102,plain,
! [X4,X5] :
( ( ~ incident_c(esk11_2(X4,X5),X5)
| ~ incident_c(esk11_2(X4,X5),X4)
| lhs_atom16(X4,X5) )
& ( incident_c(esk11_2(X4,X5),X5)
| incident_c(esk11_2(X4,X5),X4)
| lhs_atom16(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])]) ).
fof(c_0_103,plain,
! [X5,X6] :
( ( part_of(esk3_2(X5,X6),X6)
| ~ incident_c(X5,X6)
| lhs_atom6(X5,X6) )
& ( part_of(esk4_2(X5,X6),X6)
| ~ incident_c(X5,X6)
| lhs_atom6(X5,X6) )
& ( incident_c(X5,esk3_2(X5,X6))
| ~ incident_c(X5,X6)
| lhs_atom6(X5,X6) )
& ( incident_c(X5,esk4_2(X5,X6))
| ~ incident_c(X5,X6)
| lhs_atom6(X5,X6) )
& ( ~ part_of(esk3_2(X5,X6),esk4_2(X5,X6))
| ~ incident_c(X5,X6)
| lhs_atom6(X5,X6) )
& ( ~ part_of(esk4_2(X5,X6),esk3_2(X5,X6))
| ~ incident_c(X5,X6)
| lhs_atom6(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).
fof(c_0_104,plain,
! [X15,X16,X17] :
( lhs_atom33(X15,X16,X17)
| once(at_the_same_time(X17,at_the_same_time(X16,X15))) ),
inference(variable_rename,[status(thm)],[c_0_61]) ).
fof(c_0_105,plain,
! [X5,X6,X7,X8] :
( ( incident_c(X5,X6)
| lhs_atom5(X5,X6) )
& ( ~ part_of(X7,X6)
| ~ part_of(X8,X6)
| ~ incident_c(X5,X7)
| ~ incident_c(X5,X8)
| part_of(X7,X8)
| part_of(X8,X7)
| lhs_atom5(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])]) ).
fof(c_0_106,plain,
! [X5,X6] :
( ( meet(X5,esk8_2(X5,X6),esk9_2(X5,X6))
| lhs_atom7(X5,X6) )
& ( X6 = sum(esk8_2(X5,X6),esk9_2(X5,X6))
| lhs_atom7(X5,X6) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_63])])]) ).
fof(c_0_107,plain,
! [X6,X7,X8,X9] :
( ( incident_c(X6,X8)
| lhs_atom9(X6,X7,X8) )
& ( incident_c(X6,X7)
| lhs_atom9(X6,X7,X8) )
& ( end_point(X9,X8)
| ~ incident_c(X9,X8)
| ~ incident_c(X9,X7)
| lhs_atom9(X6,X7,X8) )
& ( end_point(X9,X7)
| ~ incident_c(X9,X8)
| ~ incident_c(X9,X7)
| lhs_atom9(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])])])]) ).
fof(c_0_108,plain,
! [X6,X7,X8,X9,X10] :
( ( ~ incident_c(X9,X8)
| incident_c(X9,X7)
| incident_c(X9,X6)
| lhs_atom3(X6,X7,X8) )
& ( ~ incident_c(X10,X7)
| incident_c(X10,X8)
| lhs_atom3(X6,X7,X8) )
& ( ~ incident_c(X10,X6)
| incident_c(X10,X8)
| lhs_atom3(X6,X7,X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])])]) ).
fof(c_0_109,plain,
! [X9,X10,X11] :
( ( incident_o(X9,X10)
| lhs_atom23(X9,X10) )
& ( X9 = X11
| ~ incident_o(X11,X10)
| ordered_by(X10,X11,X9)
| lhs_atom23(X9,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])])]) ).
fof(c_0_110,plain,
! [X9,X10,X11] :
( ( incident_o(X9,X10)
| lhs_atom21(X9,X10) )
& ( X9 = X11
| ~ incident_o(X11,X10)
| ordered_by(X10,X9,X11)
| lhs_atom21(X9,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_67])])])]) ).
fof(c_0_111,plain,
! [X4,X5] :
( ( incident_c(esk1_2(X4,X5),X4)
| lhs_atom2(X4,X5) )
& ( ~ incident_c(esk1_2(X4,X5),X5)
| lhs_atom2(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])]) ).
fof(c_0_112,plain,
! [X9,X10,X11] :
( ( incident_o(X10,X11)
| lhs_atom25(X9,X10,X11) )
& ( incident_o(X9,X11)
| lhs_atom25(X9,X10,X11) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_69])]) ).
fof(c_0_113,plain,
! [X15,X16] :
( lhs_atom32(X15,X16)
| ~ once(at_the_same_time(X15,X16)) ),
inference(variable_rename,[status(thm)],[c_0_70]) ).
fof(c_0_114,plain,
! [X6,X7] :
( ( end_point(esk10_2(X6,X7),X7)
| lhs_atom5(X6,X7) )
& ( X6 != esk10_2(X6,X7)
| lhs_atom5(X6,X7) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_71])])]) ).
fof(c_0_115,plain,
! [X9,X10,X11,X12] :
( ( ~ incident_o(X11,X9)
| incident_c(X11,X10)
| lhs_atom27(X9,X10) )
& ( ~ incident_c(X12,X10)
| incident_o(X12,X9)
| lhs_atom27(X9,X10) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])])])])]) ).
fof(c_0_116,plain,
! [X4,X5] :
( lhs_atom8(X4,X5)
| ~ incident_c(X4,X5)
| end_point(X4,X5) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])]) ).
fof(c_0_117,plain,
! [X4,X5,X6] :
( lhs_atom1(X4,X5)
| ~ incident_c(X6,X4)
| incident_c(X6,X5) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])])]) ).
fof(c_0_118,plain,
! [X13,X14] :
( lhs_atom37(X13,X14)
| ~ incident_o(X14,trajectory_of(X13)) ),
inference(variable_rename,[status(thm)],[c_0_75]) ).
fof(c_0_119,plain,
! [X15,X16] :
( lhs_atom31(X15,X16)
| once(at_the_same_time(X15,X16)) ),
inference(variable_rename,[status(thm)],[c_0_76]) ).
fof(c_0_120,plain,
! [X4,X5] :
( ( incident_c(X4,X5)
| lhs_atom7(X4,X5) )
& ( ~ end_point(X4,X5)
| lhs_atom7(X4,X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_77])]) ).
fof(c_0_121,plain,
! [X13,X14] :
( lhs_atom36(X13,X14)
| incident_o(X14,trajectory_of(X13)) ),
inference(variable_rename,[status(thm)],[c_0_78]) ).
fof(c_0_122,plain,
! [X15] :
( lhs_atom35(X15)
| once(at_the_same_time(X15,X15)) ),
inference(variable_rename,[status(thm)],[c_0_79]) ).
fof(c_0_123,plain,
! [X3,X4] :
( lhs_atom15(X3)
| ~ part_of(X3,X4)
| X3 = X4 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])])]) ).
fof(c_0_124,plain,
! [X4,X5] :
( lhs_atom14(X4)
| ~ end_point(X5,X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).
fof(c_0_125,plain,
! [X4,X5] :
( lhs_atom11(X4)
| ~ end_point(X5,X4) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_82])])]) ).
fof(c_0_126,plain,
! [X4] :
( lhs_atom13(X4)
| end_point(esk7_1(X4),X4) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_83])]) ).
fof(c_0_127,plain,
! [X4] :
( lhs_atom12(X4)
| end_point(esk6_1(X4),X4) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_84])]) ).
fof(c_0_128,plain,
! [X15,X16] :
( ( once(X16)
| lhs_atom31(X15,X16) )
& ( once(X15)
| lhs_atom31(X15,X16) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_85])]) ).
cnf(c_0_129,plain,
( lhs_atom20(X1,X2,X3,X4)
| ~ between_c(X5,X3,X2,X1)
| ~ incident_c(esk16_5(X1,X2,X3,X4,X5),X5)
| ~ incident_o(esk16_5(X1,X2,X3,X4,X5),X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_130,plain,
( lhs_atom20(X1,X2,X3,X4)
| incident_c(esk16_5(X1,X2,X3,X4,X5),X5)
| incident_o(esk16_5(X1,X2,X3,X4,X5),X4)
| ~ between_c(X5,X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_131,plain,
( lhs_atom19(X1,X2,X3,X4)
| incident_o(X5,X4)
| ~ incident_c(X5,esk15_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_132,plain,
( lhs_atom19(X1,X2,X3,X4)
| between_c(esk15_4(X1,X2,X3,X4),X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_133,plain,
( lhs_atom19(X1,X2,X3,X4)
| incident_c(X5,esk15_4(X1,X2,X3,X4))
| ~ incident_o(X5,X4) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_134,plain,
( lhs_atom17(X1,X2,X3,X4)
| part_of(esk12_4(X1,X2,X3,X4),X4) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_135,plain,
( lhs_atom17(X1,X2,X3,X4)
| end_point(X3,esk12_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_136,plain,
( lhs_atom17(X1,X2,X3,X4)
| end_point(X1,esk12_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_137,plain,
( lhs_atom17(X1,X2,X3,X4)
| inner_point(X2,esk12_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_138,plain,
( lhs_atom10(X1,X2,X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| ~ end_point(esk5_3(X1,X2,X3),X2)
| ~ end_point(esk5_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_139,plain,
( lhs_atom4(X1,X2,X3)
| ~ incident_c(esk2_3(X1,X2,X3),X3)
| ~ incident_c(esk2_3(X1,X2,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_140,plain,
( lhs_atom4(X1,X2,X3)
| ~ incident_c(esk2_3(X1,X2,X3),X3)
| ~ incident_c(esk2_3(X1,X2,X3),X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_141,plain,
( lhs_atom20(X1,X2,X3,X4)
| ~ ordered_by(X4,X2,X1)
| ~ ordered_by(X4,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_142,plain,
( lhs_atom20(X1,X2,X3,X4)
| ~ ordered_by(X4,X2,X3)
| ~ ordered_by(X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_143,plain,
( lhs_atom4(X1,X2,X3)
| incident_c(esk2_3(X1,X2,X3),X1)
| incident_c(esk2_3(X1,X2,X3),X2)
| incident_c(esk2_3(X1,X2,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_144,plain,
( lhs_atom19(X1,X2,X3,X4)
| ordered_by(X4,X3,X2)
| ordered_by(X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_145,plain,
( lhs_atom19(X1,X2,X3,X4)
| ordered_by(X4,X3,X2)
| ordered_by(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_146,plain,
( lhs_atom19(X1,X2,X3,X4)
| ordered_by(X4,X2,X1)
| ordered_by(X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_147,plain,
( lhs_atom19(X1,X2,X3,X4)
| ordered_by(X4,X2,X1)
| ordered_by(X4,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_148,plain,
( lhs_atom26(X1,X2)
| ~ ordered_by(X1,esk17_2(X1,X2),esk18_2(X1,X2))
| ~ ordered_by(X2,esk17_2(X1,X2),esk18_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_149,plain,
( X4 = X3
| lhs_atom18(X3,X1,X4,X5)
| ~ inner_point(X1,X2)
| ~ end_point(X3,X2)
| ~ end_point(X4,X2)
| ~ part_of(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_150,plain,
( lhs_atom30(X3,X1,X2)
| ~ once(at_the_same_time(at(X1,X2),at(X3,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_151,plain,
( lhs_atom17(X1,X2,X3,X4)
| X3 != X1 ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_152,plain,
( lhs_atom26(X1,X2)
| ordered_by(X1,esk17_2(X1,X2),esk18_2(X1,X2))
| ordered_by(X2,esk17_2(X1,X2),esk18_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_153,plain,
( lhs_atom10(X1,X2,X3)
| incident_c(esk5_3(X1,X2,X3),X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_154,plain,
( lhs_atom10(X1,X2,X3)
| incident_c(esk5_3(X1,X2,X3),X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_155,plain,
( once(at_the_same_time(X1,at(X2,esk20_2(X1,X2))))
| lhs_atom35(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_156,plain,
( once(at_the_same_time(at(X1,X2),at(X3,X2)))
| lhs_atom29(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_157,plain,
( lhs_atom34(X3,X2,X1)
| ~ once(at_the_same_time(X1,at_the_same_time(X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_158,plain,
( lhs_atom24(X1,X2)
| ~ incident_o(X1,X2)
| ~ ordered_by(X2,esk14_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_159,plain,
( lhs_atom22(X1,X2)
| ~ incident_o(X1,X2)
| ~ ordered_by(X2,X1,esk13_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_160,plain,
( lhs_atom28(X1,X2)
| ~ incident_c(esk19_2(X1,X2),X2)
| ~ incident_o(esk19_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_161,plain,
( lhs_atom16(X1,X2)
| ~ incident_c(esk11_2(X1,X2),X1)
| ~ incident_c(esk11_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_162,plain,
( lhs_atom6(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk3_2(X1,X2),esk4_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_163,plain,
( lhs_atom6(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk4_2(X1,X2),esk3_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_164,plain,
( once(at_the_same_time(X1,at_the_same_time(X2,X3)))
| lhs_atom33(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_165,plain,
( lhs_atom5(X1,X2)
| part_of(X3,X4)
| part_of(X4,X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_166,plain,
( lhs_atom7(X1,X2)
| meet(X1,esk8_2(X1,X2),esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_167,plain,
( lhs_atom9(X1,X2,X3)
| end_point(X4,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_168,plain,
( lhs_atom9(X1,X2,X3)
| end_point(X4,X2)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_169,plain,
( lhs_atom3(X1,X2,X3)
| incident_c(X4,X1)
| incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_170,plain,
( lhs_atom28(X1,X2)
| incident_c(esk19_2(X1,X2),X2)
| incident_o(esk19_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_171,plain,
( lhs_atom16(X1,X2)
| incident_c(esk11_2(X1,X2),X1)
| incident_c(esk11_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_172,plain,
( lhs_atom23(X1,X2)
| ordered_by(X2,X3,X1)
| X1 = X3
| ~ incident_o(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_173,plain,
( lhs_atom21(X1,X2)
| ordered_by(X2,X1,X3)
| X1 = X3
| ~ incident_o(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_174,plain,
( lhs_atom3(X1,X2,X3)
| incident_c(X4,X3)
| ~ incident_c(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_175,plain,
( lhs_atom3(X1,X2,X3)
| incident_c(X4,X3)
| ~ incident_c(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_176,plain,
( lhs_atom7(X1,X2)
| X2 = sum(esk8_2(X1,X2),esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_177,plain,
( lhs_atom2(X1,X2)
| ~ incident_c(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_178,plain,
( lhs_atom24(X1,X2)
| incident_o(esk14_2(X1,X2),X2)
| ~ incident_o(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_179,plain,
( lhs_atom22(X1,X2)
| incident_o(esk13_2(X1,X2),X2)
| ~ incident_o(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_180,plain,
( lhs_atom6(X1,X2)
| part_of(esk3_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_181,plain,
( lhs_atom6(X1,X2)
| part_of(esk4_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_182,plain,
( lhs_atom6(X1,X2)
| incident_c(X1,esk3_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_183,plain,
( lhs_atom6(X1,X2)
| incident_c(X1,esk4_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_184,plain,
( lhs_atom25(X1,X2,X3)
| incident_o(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_185,plain,
( lhs_atom25(X1,X2,X3)
| incident_o(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_186,plain,
( lhs_atom9(X1,X2,X3)
| incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_187,plain,
( lhs_atom9(X1,X2,X3)
| incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_188,plain,
( lhs_atom32(X1,X2)
| ~ once(at_the_same_time(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_189,plain,
( lhs_atom24(X1,X2)
| ~ incident_o(X1,X2)
| X1 != esk14_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_190,plain,
( lhs_atom22(X1,X2)
| ~ incident_o(X1,X2)
| X1 != esk13_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_191,plain,
( lhs_atom5(X1,X2)
| end_point(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_192,plain,
( lhs_atom2(X1,X2)
| incident_c(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_193,plain,
( lhs_atom27(X1,X2)
| incident_c(X3,X2)
| ~ incident_o(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_194,plain,
( lhs_atom27(X1,X2)
| incident_o(X3,X1)
| ~ incident_c(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_195,plain,
( end_point(X1,X2)
| lhs_atom8(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_196,plain,
( incident_c(X1,X2)
| lhs_atom1(X3,X2)
| ~ incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_197,plain,
( lhs_atom37(X2,X1)
| ~ incident_o(X1,trajectory_of(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_198,plain,
( once(at_the_same_time(X1,X2))
| lhs_atom31(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_199,plain,
( lhs_atom5(X1,X2)
| X1 != esk10_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_200,plain,
( lhs_atom7(X1,X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_201,plain,
( incident_o(X1,trajectory_of(X2))
| lhs_atom36(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_202,plain,
( once(at_the_same_time(X1,X1))
| lhs_atom35(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_203,plain,
( X1 = X2
| lhs_atom15(X1)
| ~ part_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_204,plain,
( lhs_atom23(X1,X2)
| incident_o(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_205,plain,
( lhs_atom21(X1,X2)
| incident_o(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_206,plain,
( lhs_atom7(X1,X2)
| incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_207,plain,
( lhs_atom5(X1,X2)
| incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_208,plain,
( lhs_atom14(X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_124]) ).
cnf(c_0_209,plain,
( lhs_atom11(X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_210,plain,
( end_point(esk7_1(X1),X1)
| lhs_atom13(X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_211,plain,
( end_point(esk6_1(X1),X1)
| lhs_atom12(X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_212,plain,
( lhs_atom31(X1,X2)
| once(X2) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_213,plain,
( lhs_atom31(X1,X2)
| once(X1) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_214,plain,
( lhs_atom20(X1,X2,X3,X4)
| ~ between_c(X5,X3,X2,X1)
| ~ incident_c(esk16_5(X1,X2,X3,X4,X5),X5)
| ~ incident_o(esk16_5(X1,X2,X3,X4,X5),X4) ),
c_0_129,
[final] ).
cnf(c_0_215,plain,
( lhs_atom20(X1,X2,X3,X4)
| incident_c(esk16_5(X1,X2,X3,X4,X5),X5)
| incident_o(esk16_5(X1,X2,X3,X4,X5),X4)
| ~ between_c(X5,X3,X2,X1) ),
c_0_130,
[final] ).
cnf(c_0_216,plain,
( lhs_atom19(X1,X2,X3,X4)
| incident_o(X5,X4)
| ~ incident_c(X5,esk15_4(X1,X2,X3,X4)) ),
c_0_131,
[final] ).
cnf(c_0_217,plain,
( lhs_atom19(X1,X2,X3,X4)
| between_c(esk15_4(X1,X2,X3,X4),X3,X2,X1) ),
c_0_132,
[final] ).
cnf(c_0_218,plain,
( lhs_atom19(X1,X2,X3,X4)
| incident_c(X5,esk15_4(X1,X2,X3,X4))
| ~ incident_o(X5,X4) ),
c_0_133,
[final] ).
cnf(c_0_219,plain,
( lhs_atom17(X1,X2,X3,X4)
| part_of(esk12_4(X1,X2,X3,X4),X4) ),
c_0_134,
[final] ).
cnf(c_0_220,plain,
( lhs_atom17(X1,X2,X3,X4)
| end_point(X3,esk12_4(X1,X2,X3,X4)) ),
c_0_135,
[final] ).
cnf(c_0_221,plain,
( lhs_atom17(X1,X2,X3,X4)
| end_point(X1,esk12_4(X1,X2,X3,X4)) ),
c_0_136,
[final] ).
cnf(c_0_222,plain,
( lhs_atom17(X1,X2,X3,X4)
| inner_point(X2,esk12_4(X1,X2,X3,X4)) ),
c_0_137,
[final] ).
cnf(c_0_223,plain,
( lhs_atom10(X1,X2,X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| ~ end_point(esk5_3(X1,X2,X3),X2)
| ~ end_point(esk5_3(X1,X2,X3),X3) ),
c_0_138,
[final] ).
cnf(c_0_224,plain,
( lhs_atom4(X1,X2,X3)
| ~ incident_c(esk2_3(X1,X2,X3),X3)
| ~ incident_c(esk2_3(X1,X2,X3),X2) ),
c_0_139,
[final] ).
cnf(c_0_225,plain,
( lhs_atom4(X1,X2,X3)
| ~ incident_c(esk2_3(X1,X2,X3),X3)
| ~ incident_c(esk2_3(X1,X2,X3),X1) ),
c_0_140,
[final] ).
cnf(c_0_226,plain,
( lhs_atom20(X1,X2,X3,X4)
| ~ ordered_by(X4,X2,X1)
| ~ ordered_by(X4,X3,X2) ),
c_0_141,
[final] ).
cnf(c_0_227,plain,
( lhs_atom20(X1,X2,X3,X4)
| ~ ordered_by(X4,X2,X3)
| ~ ordered_by(X4,X1,X2) ),
c_0_142,
[final] ).
cnf(c_0_228,plain,
( lhs_atom4(X1,X2,X3)
| incident_c(esk2_3(X1,X2,X3),X1)
| incident_c(esk2_3(X1,X2,X3),X2)
| incident_c(esk2_3(X1,X2,X3),X3) ),
c_0_143,
[final] ).
cnf(c_0_229,plain,
( lhs_atom19(X1,X2,X3,X4)
| ordered_by(X4,X3,X2)
| ordered_by(X4,X1,X2) ),
c_0_144,
[final] ).
cnf(c_0_230,plain,
( lhs_atom19(X1,X2,X3,X4)
| ordered_by(X4,X3,X2)
| ordered_by(X4,X2,X3) ),
c_0_145,
[final] ).
cnf(c_0_231,plain,
( lhs_atom19(X1,X2,X3,X4)
| ordered_by(X4,X2,X1)
| ordered_by(X4,X1,X2) ),
c_0_146,
[final] ).
cnf(c_0_232,plain,
( lhs_atom19(X1,X2,X3,X4)
| ordered_by(X4,X2,X1)
| ordered_by(X4,X2,X3) ),
c_0_147,
[final] ).
cnf(c_0_233,plain,
( lhs_atom26(X1,X2)
| ~ ordered_by(X1,esk17_2(X1,X2),esk18_2(X1,X2))
| ~ ordered_by(X2,esk17_2(X1,X2),esk18_2(X1,X2)) ),
c_0_148,
[final] ).
cnf(c_0_234,plain,
( X4 = X3
| lhs_atom18(X3,X1,X4,X5)
| ~ inner_point(X1,X2)
| ~ end_point(X3,X2)
| ~ end_point(X4,X2)
| ~ part_of(X2,X5) ),
c_0_149,
[final] ).
cnf(c_0_235,plain,
( lhs_atom30(X3,X1,X2)
| ~ once(at_the_same_time(at(X1,X2),at(X3,X2))) ),
c_0_150,
[final] ).
cnf(c_0_236,plain,
( lhs_atom17(X1,X2,X3,X4)
| X3 != X1 ),
c_0_151,
[final] ).
cnf(c_0_237,plain,
( lhs_atom26(X1,X2)
| ordered_by(X1,esk17_2(X1,X2),esk18_2(X1,X2))
| ordered_by(X2,esk17_2(X1,X2),esk18_2(X1,X2)) ),
c_0_152,
[final] ).
cnf(c_0_238,plain,
( lhs_atom10(X1,X2,X3)
| incident_c(esk5_3(X1,X2,X3),X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
c_0_153,
[final] ).
cnf(c_0_239,plain,
( lhs_atom10(X1,X2,X3)
| incident_c(esk5_3(X1,X2,X3),X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
c_0_154,
[final] ).
cnf(c_0_240,plain,
( once(at_the_same_time(X1,at(X2,esk20_2(X1,X2))))
| lhs_atom35(X1) ),
c_0_155,
[final] ).
cnf(c_0_241,plain,
( once(at_the_same_time(at(X1,X2),at(X3,X2)))
| lhs_atom29(X3,X1,X2) ),
c_0_156,
[final] ).
cnf(c_0_242,plain,
( lhs_atom34(X3,X2,X1)
| ~ once(at_the_same_time(X1,at_the_same_time(X2,X3))) ),
c_0_157,
[final] ).
cnf(c_0_243,plain,
( lhs_atom24(X1,X2)
| ~ incident_o(X1,X2)
| ~ ordered_by(X2,esk14_2(X1,X2),X1) ),
c_0_158,
[final] ).
cnf(c_0_244,plain,
( lhs_atom22(X1,X2)
| ~ incident_o(X1,X2)
| ~ ordered_by(X2,X1,esk13_2(X1,X2)) ),
c_0_159,
[final] ).
cnf(c_0_245,plain,
( lhs_atom28(X1,X2)
| ~ incident_c(esk19_2(X1,X2),X2)
| ~ incident_o(esk19_2(X1,X2),X1) ),
c_0_160,
[final] ).
cnf(c_0_246,plain,
( lhs_atom16(X1,X2)
| ~ incident_c(esk11_2(X1,X2),X1)
| ~ incident_c(esk11_2(X1,X2),X2) ),
c_0_161,
[final] ).
cnf(c_0_247,plain,
( lhs_atom6(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk3_2(X1,X2),esk4_2(X1,X2)) ),
c_0_162,
[final] ).
cnf(c_0_248,plain,
( lhs_atom6(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk4_2(X1,X2),esk3_2(X1,X2)) ),
c_0_163,
[final] ).
cnf(c_0_249,plain,
( once(at_the_same_time(X1,at_the_same_time(X2,X3)))
| lhs_atom33(X3,X2,X1) ),
c_0_164,
[final] ).
cnf(c_0_250,plain,
( lhs_atom5(X1,X2)
| part_of(X3,X4)
| part_of(X4,X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2) ),
c_0_165,
[final] ).
cnf(c_0_251,plain,
( lhs_atom7(X1,X2)
| meet(X1,esk8_2(X1,X2),esk9_2(X1,X2)) ),
c_0_166,
[final] ).
cnf(c_0_252,plain,
( lhs_atom9(X1,X2,X3)
| end_point(X4,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
c_0_167,
[final] ).
cnf(c_0_253,plain,
( lhs_atom9(X1,X2,X3)
| end_point(X4,X2)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
c_0_168,
[final] ).
cnf(c_0_254,plain,
( lhs_atom3(X1,X2,X3)
| incident_c(X4,X1)
| incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
c_0_169,
[final] ).
cnf(c_0_255,plain,
( lhs_atom28(X1,X2)
| incident_c(esk19_2(X1,X2),X2)
| incident_o(esk19_2(X1,X2),X1) ),
c_0_170,
[final] ).
cnf(c_0_256,plain,
( lhs_atom16(X1,X2)
| incident_c(esk11_2(X1,X2),X1)
| incident_c(esk11_2(X1,X2),X2) ),
c_0_171,
[final] ).
cnf(c_0_257,plain,
( lhs_atom23(X1,X2)
| ordered_by(X2,X3,X1)
| X1 = X3
| ~ incident_o(X3,X2) ),
c_0_172,
[final] ).
cnf(c_0_258,plain,
( lhs_atom21(X1,X2)
| ordered_by(X2,X1,X3)
| X1 = X3
| ~ incident_o(X3,X2) ),
c_0_173,
[final] ).
cnf(c_0_259,plain,
( lhs_atom3(X1,X2,X3)
| incident_c(X4,X3)
| ~ incident_c(X4,X2) ),
c_0_174,
[final] ).
cnf(c_0_260,plain,
( lhs_atom3(X1,X2,X3)
| incident_c(X4,X3)
| ~ incident_c(X4,X1) ),
c_0_175,
[final] ).
cnf(c_0_261,plain,
( lhs_atom7(X1,X2)
| sum(esk8_2(X1,X2),esk9_2(X1,X2)) = X2 ),
c_0_176,
[final] ).
cnf(c_0_262,plain,
( lhs_atom2(X1,X2)
| ~ incident_c(esk1_2(X1,X2),X2) ),
c_0_177,
[final] ).
cnf(c_0_263,plain,
( lhs_atom24(X1,X2)
| incident_o(esk14_2(X1,X2),X2)
| ~ incident_o(X1,X2) ),
c_0_178,
[final] ).
cnf(c_0_264,plain,
( lhs_atom22(X1,X2)
| incident_o(esk13_2(X1,X2),X2)
| ~ incident_o(X1,X2) ),
c_0_179,
[final] ).
cnf(c_0_265,plain,
( lhs_atom6(X1,X2)
| part_of(esk3_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
c_0_180,
[final] ).
cnf(c_0_266,plain,
( lhs_atom6(X1,X2)
| part_of(esk4_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
c_0_181,
[final] ).
cnf(c_0_267,plain,
( lhs_atom6(X1,X2)
| incident_c(X1,esk3_2(X1,X2))
| ~ incident_c(X1,X2) ),
c_0_182,
[final] ).
cnf(c_0_268,plain,
( lhs_atom6(X1,X2)
| incident_c(X1,esk4_2(X1,X2))
| ~ incident_c(X1,X2) ),
c_0_183,
[final] ).
cnf(c_0_269,plain,
( lhs_atom25(X1,X2,X3)
| incident_o(X2,X3) ),
c_0_184,
[final] ).
cnf(c_0_270,plain,
( lhs_atom25(X1,X2,X3)
| incident_o(X1,X3) ),
c_0_185,
[final] ).
cnf(c_0_271,plain,
( lhs_atom9(X1,X2,X3)
| incident_c(X1,X3) ),
c_0_186,
[final] ).
cnf(c_0_272,plain,
( lhs_atom9(X1,X2,X3)
| incident_c(X1,X2) ),
c_0_187,
[final] ).
cnf(c_0_273,plain,
( lhs_atom32(X1,X2)
| ~ once(at_the_same_time(X1,X2)) ),
c_0_188,
[final] ).
cnf(c_0_274,plain,
( lhs_atom24(X1,X2)
| ~ incident_o(X1,X2)
| esk14_2(X1,X2) != X1 ),
c_0_189,
[final] ).
cnf(c_0_275,plain,
( lhs_atom22(X1,X2)
| ~ incident_o(X1,X2)
| esk13_2(X1,X2) != X1 ),
c_0_190,
[final] ).
cnf(c_0_276,plain,
( lhs_atom5(X1,X2)
| end_point(esk10_2(X1,X2),X2) ),
c_0_191,
[final] ).
cnf(c_0_277,plain,
( lhs_atom2(X1,X2)
| incident_c(esk1_2(X1,X2),X1) ),
c_0_192,
[final] ).
cnf(c_0_278,plain,
( lhs_atom27(X1,X2)
| incident_c(X3,X2)
| ~ incident_o(X3,X1) ),
c_0_193,
[final] ).
cnf(c_0_279,plain,
( lhs_atom27(X1,X2)
| incident_o(X3,X1)
| ~ incident_c(X3,X2) ),
c_0_194,
[final] ).
cnf(c_0_280,plain,
( end_point(X1,X2)
| lhs_atom8(X1,X2)
| ~ incident_c(X1,X2) ),
c_0_195,
[final] ).
cnf(c_0_281,plain,
( incident_c(X1,X2)
| lhs_atom1(X3,X2)
| ~ incident_c(X1,X3) ),
c_0_196,
[final] ).
cnf(c_0_282,plain,
( lhs_atom37(X2,X1)
| ~ incident_o(X1,trajectory_of(X2)) ),
c_0_197,
[final] ).
cnf(c_0_283,plain,
( once(at_the_same_time(X1,X2))
| lhs_atom31(X1,X2) ),
c_0_198,
[final] ).
cnf(c_0_284,plain,
( lhs_atom5(X1,X2)
| esk10_2(X1,X2) != X1 ),
c_0_199,
[final] ).
cnf(c_0_285,plain,
( lhs_atom7(X1,X2)
| ~ end_point(X1,X2) ),
c_0_200,
[final] ).
cnf(c_0_286,plain,
( incident_o(X1,trajectory_of(X2))
| lhs_atom36(X2,X1) ),
c_0_201,
[final] ).
cnf(c_0_287,plain,
( once(at_the_same_time(X1,X1))
| lhs_atom35(X1) ),
c_0_202,
[final] ).
cnf(c_0_288,plain,
( X1 = X2
| lhs_atom15(X1)
| ~ part_of(X1,X2) ),
c_0_203,
[final] ).
cnf(c_0_289,plain,
( lhs_atom23(X1,X2)
| incident_o(X1,X2) ),
c_0_204,
[final] ).
cnf(c_0_290,plain,
( lhs_atom21(X1,X2)
| incident_o(X1,X2) ),
c_0_205,
[final] ).
cnf(c_0_291,plain,
( lhs_atom7(X1,X2)
| incident_c(X1,X2) ),
c_0_206,
[final] ).
cnf(c_0_292,plain,
( lhs_atom5(X1,X2)
| incident_c(X1,X2) ),
c_0_207,
[final] ).
cnf(c_0_293,plain,
( lhs_atom14(X2)
| ~ end_point(X1,X2) ),
c_0_208,
[final] ).
cnf(c_0_294,plain,
( lhs_atom11(X2)
| ~ end_point(X1,X2) ),
c_0_209,
[final] ).
cnf(c_0_295,plain,
( end_point(esk7_1(X1),X1)
| lhs_atom13(X1) ),
c_0_210,
[final] ).
cnf(c_0_296,plain,
( end_point(esk6_1(X1),X1)
| lhs_atom12(X1) ),
c_0_211,
[final] ).
cnf(c_0_297,plain,
( lhs_atom31(X1,X2)
| once(X2) ),
c_0_212,
[final] ).
cnf(c_0_298,plain,
( lhs_atom31(X1,X2)
| once(X1) ),
c_0_213,
[final] ).
% End CNF derivation
cnf(c_0_214_0,axiom,
( between_o(X4,X3,X2,X1)
| ~ between_c(X5,X3,X2,X1)
| ~ incident_c(sk1_esk16_5(X1,X2,X3,X4,X5),X5)
| ~ incident_o(sk1_esk16_5(X1,X2,X3,X4,X5),X4) ),
inference(unfold_definition,[status(thm)],[c_0_214,def_lhs_atom20]) ).
cnf(c_0_215_0,axiom,
( between_o(X4,X3,X2,X1)
| incident_c(sk1_esk16_5(X1,X2,X3,X4,X5),X5)
| incident_o(sk1_esk16_5(X1,X2,X3,X4,X5),X4)
| ~ between_c(X5,X3,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_215,def_lhs_atom20]) ).
cnf(c_0_216_0,axiom,
( ~ between_o(X4,X3,X2,X1)
| incident_o(X5,X4)
| ~ incident_c(X5,sk1_esk15_4(X1,X2,X3,X4)) ),
inference(unfold_definition,[status(thm)],[c_0_216,def_lhs_atom19]) ).
cnf(c_0_217_0,axiom,
( ~ between_o(X4,X3,X2,X1)
| between_c(sk1_esk15_4(X1,X2,X3,X4),X3,X2,X1) ),
inference(unfold_definition,[status(thm)],[c_0_217,def_lhs_atom19]) ).
cnf(c_0_218_0,axiom,
( ~ between_o(X4,X3,X2,X1)
| incident_c(X5,sk1_esk15_4(X1,X2,X3,X4))
| ~ incident_o(X5,X4) ),
inference(unfold_definition,[status(thm)],[c_0_218,def_lhs_atom19]) ).
cnf(c_0_219_0,axiom,
( ~ between_c(X4,X3,X2,X1)
| part_of(sk1_esk12_4(X1,X2,X3,X4),X4) ),
inference(unfold_definition,[status(thm)],[c_0_219,def_lhs_atom17]) ).
cnf(c_0_220_0,axiom,
( ~ between_c(X4,X3,X2,X1)
| end_point(X3,sk1_esk12_4(X1,X2,X3,X4)) ),
inference(unfold_definition,[status(thm)],[c_0_220,def_lhs_atom17]) ).
cnf(c_0_221_0,axiom,
( ~ between_c(X4,X3,X2,X1)
| end_point(X1,sk1_esk12_4(X1,X2,X3,X4)) ),
inference(unfold_definition,[status(thm)],[c_0_221,def_lhs_atom17]) ).
cnf(c_0_222_0,axiom,
( ~ between_c(X4,X3,X2,X1)
| inner_point(X2,sk1_esk12_4(X1,X2,X3,X4)) ),
inference(unfold_definition,[status(thm)],[c_0_222,def_lhs_atom17]) ).
cnf(c_0_223_0,axiom,
( meet(X1,X3,X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2)
| ~ end_point(sk1_esk5_3(X1,X2,X3),X2)
| ~ end_point(sk1_esk5_3(X1,X2,X3),X3) ),
inference(unfold_definition,[status(thm)],[c_0_223,def_lhs_atom10]) ).
cnf(c_0_224_0,axiom,
( X3 = sum(X2,X1)
| ~ incident_c(sk1_esk2_3(X1,X2,X3),X3)
| ~ incident_c(sk1_esk2_3(X1,X2,X3),X2) ),
inference(unfold_definition,[status(thm)],[c_0_224,def_lhs_atom4]) ).
cnf(c_0_225_0,axiom,
( X3 = sum(X2,X1)
| ~ incident_c(sk1_esk2_3(X1,X2,X3),X3)
| ~ incident_c(sk1_esk2_3(X1,X2,X3),X1) ),
inference(unfold_definition,[status(thm)],[c_0_225,def_lhs_atom4]) ).
cnf(c_0_226_0,axiom,
( between_o(X4,X3,X2,X1)
| ~ ordered_by(X4,X2,X1)
| ~ ordered_by(X4,X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_226,def_lhs_atom20]) ).
cnf(c_0_227_0,axiom,
( between_o(X4,X3,X2,X1)
| ~ ordered_by(X4,X2,X3)
| ~ ordered_by(X4,X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_227,def_lhs_atom20]) ).
cnf(c_0_228_0,axiom,
( X3 = sum(X2,X1)
| incident_c(sk1_esk2_3(X1,X2,X3),X1)
| incident_c(sk1_esk2_3(X1,X2,X3),X2)
| incident_c(sk1_esk2_3(X1,X2,X3),X3) ),
inference(unfold_definition,[status(thm)],[c_0_228,def_lhs_atom4]) ).
cnf(c_0_229_0,axiom,
( ~ between_o(X4,X3,X2,X1)
| ordered_by(X4,X3,X2)
| ordered_by(X4,X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_229,def_lhs_atom19]) ).
cnf(c_0_230_0,axiom,
( ~ between_o(X4,X3,X2,X1)
| ordered_by(X4,X3,X2)
| ordered_by(X4,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_230,def_lhs_atom19]) ).
cnf(c_0_231_0,axiom,
( ~ between_o(X4,X3,X2,X1)
| ordered_by(X4,X2,X1)
| ordered_by(X4,X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_231,def_lhs_atom19]) ).
cnf(c_0_232_0,axiom,
( ~ between_o(X4,X3,X2,X1)
| ordered_by(X4,X2,X1)
| ordered_by(X4,X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_232,def_lhs_atom19]) ).
cnf(c_0_233_0,axiom,
( X2 = X1
| ~ ordered_by(X1,sk1_esk17_2(X1,X2),sk1_esk18_2(X1,X2))
| ~ ordered_by(X2,sk1_esk17_2(X1,X2),sk1_esk18_2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_233,def_lhs_atom26]) ).
cnf(c_0_234_0,axiom,
( between_c(X5,X4,X1,X3)
| X4 = X3
| ~ inner_point(X1,X2)
| ~ end_point(X3,X2)
| ~ end_point(X4,X2)
| ~ part_of(X2,X5) ),
inference(unfold_definition,[status(thm)],[c_0_234,def_lhs_atom18]) ).
cnf(c_0_235_0,axiom,
( connect(X1,X3,X2)
| ~ once(at_the_same_time(at(X1,X2),at(X3,X2))) ),
inference(unfold_definition,[status(thm)],[c_0_235,def_lhs_atom30]) ).
cnf(c_0_236_0,axiom,
( ~ between_c(X4,X3,X2,X1)
| X3 != X1 ),
inference(unfold_definition,[status(thm)],[c_0_236,def_lhs_atom17]) ).
cnf(c_0_237_0,axiom,
( X2 = X1
| ordered_by(X1,sk1_esk17_2(X1,X2),sk1_esk18_2(X1,X2))
| ordered_by(X2,sk1_esk17_2(X1,X2),sk1_esk18_2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_237,def_lhs_atom26]) ).
cnf(c_0_238_0,axiom,
( meet(X1,X3,X2)
| incident_c(sk1_esk5_3(X1,X2,X3),X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_238,def_lhs_atom10]) ).
cnf(c_0_239_0,axiom,
( meet(X1,X3,X2)
| incident_c(sk1_esk5_3(X1,X2,X3),X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_239,def_lhs_atom10]) ).
cnf(c_0_240_0,axiom,
( ~ once(X1)
| once(at_the_same_time(X1,at(X2,sk1_esk20_2(X1,X2)))) ),
inference(unfold_definition,[status(thm)],[c_0_240,def_lhs_atom35]) ).
cnf(c_0_241_0,axiom,
( ~ connect(X1,X3,X2)
| once(at_the_same_time(at(X1,X2),at(X3,X2))) ),
inference(unfold_definition,[status(thm)],[c_0_241,def_lhs_atom29]) ).
cnf(c_0_242_0,axiom,
( once(at_the_same_time(at_the_same_time(X1,X2),X3))
| ~ once(at_the_same_time(X1,at_the_same_time(X2,X3))) ),
inference(unfold_definition,[status(thm)],[c_0_242,def_lhs_atom34]) ).
cnf(c_0_243_0,axiom,
( finish_point(X1,X2)
| ~ incident_o(X1,X2)
| ~ ordered_by(X2,sk1_esk14_2(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_243,def_lhs_atom24]) ).
cnf(c_0_244_0,axiom,
( start_point(X1,X2)
| ~ incident_o(X1,X2)
| ~ ordered_by(X2,X1,sk1_esk13_2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_244,def_lhs_atom22]) ).
cnf(c_0_245_0,axiom,
( X2 = underlying_curve(X1)
| ~ incident_c(sk1_esk19_2(X1,X2),X2)
| ~ incident_o(sk1_esk19_2(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_245,def_lhs_atom28]) ).
cnf(c_0_246_0,axiom,
( X2 = X1
| ~ incident_c(sk1_esk11_2(X1,X2),X1)
| ~ incident_c(sk1_esk11_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_246,def_lhs_atom16]) ).
cnf(c_0_247_0,axiom,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(sk1_esk3_2(X1,X2),sk1_esk4_2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_247,def_lhs_atom6]) ).
cnf(c_0_248_0,axiom,
( end_point(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(sk1_esk4_2(X1,X2),sk1_esk3_2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_248,def_lhs_atom6]) ).
cnf(c_0_249_0,axiom,
( ~ once(at_the_same_time(at_the_same_time(X1,X2),X3))
| once(at_the_same_time(X1,at_the_same_time(X2,X3))) ),
inference(unfold_definition,[status(thm)],[c_0_249,def_lhs_atom33]) ).
cnf(c_0_250_0,axiom,
( ~ end_point(X1,X2)
| part_of(X3,X4)
| part_of(X4,X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X4)
| ~ part_of(X3,X2)
| ~ part_of(X4,X2) ),
inference(unfold_definition,[status(thm)],[c_0_250,def_lhs_atom5]) ).
cnf(c_0_251_0,axiom,
( ~ inner_point(X1,X2)
| meet(X1,sk1_esk8_2(X1,X2),sk1_esk9_2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_251,def_lhs_atom7]) ).
cnf(c_0_252_0,axiom,
( ~ meet(X1,X3,X2)
| end_point(X4,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
inference(unfold_definition,[status(thm)],[c_0_252,def_lhs_atom9]) ).
cnf(c_0_253_0,axiom,
( ~ meet(X1,X3,X2)
| end_point(X4,X2)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
inference(unfold_definition,[status(thm)],[c_0_253,def_lhs_atom9]) ).
cnf(c_0_254_0,axiom,
( X3 != sum(X2,X1)
| incident_c(X4,X1)
| incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
inference(unfold_definition,[status(thm)],[c_0_254,def_lhs_atom3]) ).
cnf(c_0_255_0,axiom,
( X2 = underlying_curve(X1)
| incident_c(sk1_esk19_2(X1,X2),X2)
| incident_o(sk1_esk19_2(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_255,def_lhs_atom28]) ).
cnf(c_0_256_0,axiom,
( X2 = X1
| incident_c(sk1_esk11_2(X1,X2),X1)
| incident_c(sk1_esk11_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_256,def_lhs_atom16]) ).
cnf(c_0_257_0,axiom,
( ~ finish_point(X1,X2)
| ordered_by(X2,X3,X1)
| X1 = X3
| ~ incident_o(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_257,def_lhs_atom23]) ).
cnf(c_0_258_0,axiom,
( ~ start_point(X1,X2)
| ordered_by(X2,X1,X3)
| X1 = X3
| ~ incident_o(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_258,def_lhs_atom21]) ).
cnf(c_0_259_0,axiom,
( X3 != sum(X2,X1)
| incident_c(X4,X3)
| ~ incident_c(X4,X2) ),
inference(unfold_definition,[status(thm)],[c_0_259,def_lhs_atom3]) ).
cnf(c_0_260_0,axiom,
( X3 != sum(X2,X1)
| incident_c(X4,X3)
| ~ incident_c(X4,X1) ),
inference(unfold_definition,[status(thm)],[c_0_260,def_lhs_atom3]) ).
cnf(c_0_261_0,axiom,
( ~ inner_point(X1,X2)
| sum(sk1_esk8_2(X1,X2),sk1_esk9_2(X1,X2)) = X2 ),
inference(unfold_definition,[status(thm)],[c_0_261,def_lhs_atom7]) ).
cnf(c_0_262_0,axiom,
( part_of(X1,X2)
| ~ incident_c(sk1_esk1_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_262,def_lhs_atom2]) ).
cnf(c_0_263_0,axiom,
( finish_point(X1,X2)
| incident_o(sk1_esk14_2(X1,X2),X2)
| ~ incident_o(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_263,def_lhs_atom24]) ).
cnf(c_0_264_0,axiom,
( start_point(X1,X2)
| incident_o(sk1_esk13_2(X1,X2),X2)
| ~ incident_o(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_264,def_lhs_atom22]) ).
cnf(c_0_265_0,axiom,
( end_point(X1,X2)
| part_of(sk1_esk3_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_265,def_lhs_atom6]) ).
cnf(c_0_266_0,axiom,
( end_point(X1,X2)
| part_of(sk1_esk4_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_266,def_lhs_atom6]) ).
cnf(c_0_267_0,axiom,
( end_point(X1,X2)
| incident_c(X1,sk1_esk3_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_267,def_lhs_atom6]) ).
cnf(c_0_268_0,axiom,
( end_point(X1,X2)
| incident_c(X1,sk1_esk4_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_268,def_lhs_atom6]) ).
cnf(c_0_269_0,axiom,
( ~ ordered_by(X3,X2,X1)
| incident_o(X2,X3) ),
inference(unfold_definition,[status(thm)],[c_0_269,def_lhs_atom25]) ).
cnf(c_0_270_0,axiom,
( ~ ordered_by(X3,X2,X1)
| incident_o(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_270,def_lhs_atom25]) ).
cnf(c_0_271_0,axiom,
( ~ meet(X1,X3,X2)
| incident_c(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_271,def_lhs_atom9]) ).
cnf(c_0_272_0,axiom,
( ~ meet(X1,X3,X2)
| incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_272,def_lhs_atom9]) ).
cnf(c_0_273_0,axiom,
( once(at_the_same_time(X2,X1))
| ~ once(at_the_same_time(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_273,def_lhs_atom32]) ).
cnf(c_0_274_0,axiom,
( finish_point(X1,X2)
| ~ incident_o(X1,X2)
| sk1_esk14_2(X1,X2) != X1 ),
inference(unfold_definition,[status(thm)],[c_0_274,def_lhs_atom24]) ).
cnf(c_0_275_0,axiom,
( start_point(X1,X2)
| ~ incident_o(X1,X2)
| sk1_esk13_2(X1,X2) != X1 ),
inference(unfold_definition,[status(thm)],[c_0_275,def_lhs_atom22]) ).
cnf(c_0_276_0,axiom,
( ~ end_point(X1,X2)
| end_point(sk1_esk10_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_276,def_lhs_atom5]) ).
cnf(c_0_277_0,axiom,
( part_of(X1,X2)
| incident_c(sk1_esk1_2(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_277,def_lhs_atom2]) ).
cnf(c_0_278_0,axiom,
( X2 != underlying_curve(X1)
| incident_c(X3,X2)
| ~ incident_o(X3,X1) ),
inference(unfold_definition,[status(thm)],[c_0_278,def_lhs_atom27]) ).
cnf(c_0_279_0,axiom,
( X2 != underlying_curve(X1)
| incident_o(X3,X1)
| ~ incident_c(X3,X2) ),
inference(unfold_definition,[status(thm)],[c_0_279,def_lhs_atom27]) ).
cnf(c_0_280_0,axiom,
( inner_point(X1,X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_280,def_lhs_atom8]) ).
cnf(c_0_281_0,axiom,
( ~ part_of(X3,X2)
| incident_c(X1,X2)
| ~ incident_c(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_281,def_lhs_atom1]) ).
cnf(c_0_282_0,axiom,
( once(at(X2,X1))
| ~ incident_o(X1,trajectory_of(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_282,def_lhs_atom37]) ).
cnf(c_0_283_0,axiom,
( ~ once(at_the_same_time(X2,X1))
| once(at_the_same_time(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_283,def_lhs_atom31]) ).
cnf(c_0_284_0,axiom,
( ~ end_point(X1,X2)
| sk1_esk10_2(X1,X2) != X1 ),
inference(unfold_definition,[status(thm)],[c_0_284,def_lhs_atom5]) ).
cnf(c_0_285_0,axiom,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_285,def_lhs_atom7]) ).
cnf(c_0_286_0,axiom,
( ~ once(at(X2,X1))
| incident_o(X1,trajectory_of(X2)) ),
inference(unfold_definition,[status(thm)],[c_0_286,def_lhs_atom36]) ).
cnf(c_0_287_0,axiom,
( ~ once(X1)
| once(at_the_same_time(X1,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_287,def_lhs_atom35]) ).
cnf(c_0_288_0,axiom,
( open(X1)
| X1 = X2
| ~ part_of(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_288,def_lhs_atom15]) ).
cnf(c_0_289_0,axiom,
( ~ finish_point(X1,X2)
| incident_o(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_289,def_lhs_atom23]) ).
cnf(c_0_290_0,axiom,
( ~ start_point(X1,X2)
| incident_o(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_290,def_lhs_atom21]) ).
cnf(c_0_291_0,axiom,
( ~ inner_point(X1,X2)
| incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_291,def_lhs_atom7]) ).
cnf(c_0_292_0,axiom,
( ~ end_point(X1,X2)
| incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_292,def_lhs_atom5]) ).
cnf(c_0_293_0,axiom,
( open(X2)
| ~ end_point(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_293,def_lhs_atom14]) ).
cnf(c_0_294_0,axiom,
( ~ closed(X2)
| ~ end_point(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_294,def_lhs_atom11]) ).
cnf(c_0_295_0,axiom,
( ~ open(X1)
| end_point(sk1_esk7_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_295,def_lhs_atom13]) ).
cnf(c_0_296_0,axiom,
( closed(X1)
| end_point(sk1_esk6_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_296,def_lhs_atom12]) ).
cnf(c_0_297_0,axiom,
( ~ once(at_the_same_time(X2,X1))
| once(X2) ),
inference(unfold_definition,[status(thm)],[c_0_297,def_lhs_atom31]) ).
cnf(c_0_298_0,axiom,
( ~ once(at_the_same_time(X2,X1))
| once(X1) ),
inference(unfold_definition,[status(thm)],[c_0_298,def_lhs_atom31]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( once(at_the_same_time(at(X5,X1),at(X6,X2)))
& once(at_the_same_time(at(X5,X3),at(X6,X4))) )
=> ~ ( ordered_by(trajectory_of(X5),X1,X3)
& ordered_by(trajectory_of(X6),X4,X2) ) ),
file('<stdin>',homogeneous_behaviour) ).
fof(c_0_1_002,axiom,
! [X8,X9,X10] :
( ( open(X10)
& X8 != X9
& incident_c(X8,X10)
& incident_c(X9,X10) )
=> ? [X7] :
( ! [X11] :
( incident_o(X11,X7)
<=> incident_c(X11,X10) )
& ordered_by(X7,X8,X9) ) ),
file('<stdin>',o5) ).
fof(c_0_2_003,axiom,
! [X10,X12,X13,X14] :
( ( part_of(X12,X10)
& part_of(X13,X10)
& part_of(X14,X10)
& ? [X8] :
( end_point(X8,X12)
& end_point(X8,X13)
& end_point(X8,X14) ) )
=> ( part_of(X13,X14)
| part_of(X14,X13)
| part_of(X12,X13)
| part_of(X13,X12)
| part_of(X12,X14)
| part_of(X14,X12) ) ),
file('<stdin>',c2) ).
fof(c_0_3_004,axiom,
! [X10,X12,X13,X8] :
( ( closed(X10)
& meet(X8,X12,X13)
& X10 = sum(X12,X13) )
=> ! [X9] :
( end_point(X9,X12)
=> meet(X9,X12,X13) ) ),
file('<stdin>',c7) ).
fof(c_0_4_005,axiom,
! [X12,X13] :
( ? [X8] : meet(X8,X12,X13)
=> ? [X10] : X10 = sum(X12,X13) ),
file('<stdin>',c8) ).
fof(c_0_5_006,axiom,
! [X10,X8,X9,X11] :
( ( end_point(X8,X10)
& end_point(X9,X10)
& end_point(X11,X10) )
=> ( X8 = X9
| X8 = X11
| X9 = X11 ) ),
file('<stdin>',c5) ).
fof(c_0_6_007,axiom,
! [X7] :
? [X10] :
( open(X10)
& ! [X8] :
( incident_o(X8,X7)
<=> incident_c(X8,X10) ) ),
file('<stdin>',o2) ).
fof(c_0_7_008,axiom,
! [X10] :
? [X8] : inner_point(X8,X10),
file('<stdin>',c3) ).
fof(c_0_8_009,axiom,
! [X7] :
? [X8] : start_point(X8,X7),
file('<stdin>',o4) ).
fof(c_0_9_010,axiom,
! [X5] :
? [X7] : trajectory_of(X5) = X7,
file('<stdin>',trajectories_are_oriented_curves) ).
fof(c_0_10_011,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( once(at_the_same_time(at(X5,X1),at(X6,X2)))
& once(at_the_same_time(at(X5,X3),at(X6,X4))) )
=> ~ ( ordered_by(trajectory_of(X5),X1,X3)
& ordered_by(trajectory_of(X6),X4,X2) ) ),
c_0_0 ).
fof(c_0_11_012,axiom,
! [X8,X9,X10] :
( ( open(X10)
& X8 != X9
& incident_c(X8,X10)
& incident_c(X9,X10) )
=> ? [X7] :
( ! [X11] :
( incident_o(X11,X7)
<=> incident_c(X11,X10) )
& ordered_by(X7,X8,X9) ) ),
c_0_1 ).
fof(c_0_12_013,axiom,
! [X10,X12,X13,X14] :
( ( part_of(X12,X10)
& part_of(X13,X10)
& part_of(X14,X10)
& ? [X8] :
( end_point(X8,X12)
& end_point(X8,X13)
& end_point(X8,X14) ) )
=> ( part_of(X13,X14)
| part_of(X14,X13)
| part_of(X12,X13)
| part_of(X13,X12)
| part_of(X12,X14)
| part_of(X14,X12) ) ),
c_0_2 ).
fof(c_0_13_014,axiom,
! [X10,X12,X13,X8] :
( ( closed(X10)
& meet(X8,X12,X13)
& X10 = sum(X12,X13) )
=> ! [X9] :
( end_point(X9,X12)
=> meet(X9,X12,X13) ) ),
c_0_3 ).
fof(c_0_14_015,axiom,
! [X12,X13] :
( ? [X8] : meet(X8,X12,X13)
=> ? [X10] : X10 = sum(X12,X13) ),
c_0_4 ).
fof(c_0_15_016,axiom,
! [X10,X8,X9,X11] :
( ( end_point(X8,X10)
& end_point(X9,X10)
& end_point(X11,X10) )
=> ( X8 = X9
| X8 = X11
| X9 = X11 ) ),
c_0_5 ).
fof(c_0_16_017,axiom,
! [X7] :
? [X10] :
( open(X10)
& ! [X8] :
( incident_o(X8,X7)
<=> incident_c(X8,X10) ) ),
c_0_6 ).
fof(c_0_17_018,axiom,
! [X10] :
? [X8] : inner_point(X8,X10),
c_0_7 ).
fof(c_0_18_019,axiom,
! [X7] :
? [X8] : start_point(X8,X7),
c_0_8 ).
fof(c_0_19_020,axiom,
! [X5] :
? [X7] : trajectory_of(X5) = X7,
c_0_9 ).
fof(c_0_20_021,plain,
! [X7,X8,X9,X10,X11,X12] :
( ~ once(at_the_same_time(at(X11,X7),at(X12,X8)))
| ~ once(at_the_same_time(at(X11,X9),at(X12,X10)))
| ~ ordered_by(trajectory_of(X11),X7,X9)
| ~ ordered_by(trajectory_of(X12),X10,X8) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_21_022,plain,
! [X12,X13,X14,X16,X17] :
( ( ~ incident_o(X16,esk2_3(X12,X13,X14))
| incident_c(X16,X14)
| ~ open(X14)
| X12 = X13
| ~ incident_c(X12,X14)
| ~ incident_c(X13,X14) )
& ( ~ incident_c(X17,X14)
| incident_o(X17,esk2_3(X12,X13,X14))
| ~ open(X14)
| X12 = X13
| ~ incident_c(X12,X14)
| ~ incident_c(X13,X14) )
& ( ordered_by(esk2_3(X12,X13,X14),X12,X13)
| ~ open(X14)
| X12 = X13
| ~ incident_c(X12,X14)
| ~ incident_c(X13,X14) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])]) ).
fof(c_0_22_023,plain,
! [X15,X16,X17,X18,X19] :
( ~ part_of(X16,X15)
| ~ part_of(X17,X15)
| ~ part_of(X18,X15)
| ~ end_point(X19,X16)
| ~ end_point(X19,X17)
| ~ end_point(X19,X18)
| part_of(X17,X18)
| part_of(X18,X17)
| part_of(X16,X17)
| part_of(X17,X16)
| part_of(X16,X18)
| part_of(X18,X16) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_23_024,plain,
! [X14,X15,X16,X17,X18] :
( ~ closed(X14)
| ~ meet(X17,X15,X16)
| X14 != sum(X15,X16)
| ~ end_point(X18,X15)
| meet(X18,X15,X16) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_24_025,plain,
! [X14,X15,X16] :
( ~ meet(X16,X14,X15)
| esk5_2(X14,X15) = sum(X14,X15) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_25_026,plain,
! [X12,X13,X14,X15] :
( ~ end_point(X13,X12)
| ~ end_point(X14,X12)
| ~ end_point(X15,X12)
| X13 = X14
| X13 = X15
| X14 = X15 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
fof(c_0_26_027,plain,
! [X11,X13,X14] :
( open(esk4_1(X11))
& ( ~ incident_o(X13,X11)
| incident_c(X13,esk4_1(X11)) )
& ( ~ incident_c(X14,esk4_1(X11))
| incident_o(X14,X11) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).
fof(c_0_27_028,plain,
! [X11] : inner_point(esk6_1(X11),X11),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_17])]) ).
fof(c_0_28_029,plain,
! [X9] : start_point(esk3_1(X9),X9),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_18])]) ).
fof(c_0_29_030,plain,
! [X8] : trajectory_of(X8) = esk1_1(X8),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_19])]) ).
cnf(c_0_30_031,plain,
( ~ ordered_by(trajectory_of(X1),X2,X3)
| ~ ordered_by(trajectory_of(X4),X5,X6)
| ~ once(at_the_same_time(at(X4,X6),at(X1,X2)))
| ~ once(at_the_same_time(at(X4,X5),at(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31_032,plain,
( X3 = X1
| incident_c(X4,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2)
| ~ incident_o(X4,esk2_3(X3,X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_32_033,plain,
( part_of(X1,X2)
| part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_33_034,plain,
( X3 = X1
| ordered_by(esk2_3(X3,X1,X2),X3,X1)
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34_035,plain,
( X3 = X1
| incident_o(X4,esk2_3(X3,X1,X2))
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2)
| ~ incident_c(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35_036,plain,
( meet(X1,X2,X3)
| ~ end_point(X1,X2)
| X4 != sum(X2,X3)
| ~ meet(X5,X2,X3)
| ~ closed(X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_36_037,plain,
( esk5_2(X1,X2) = sum(X1,X2)
| ~ meet(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_37_038,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| ~ end_point(X2,X4)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_38_039,plain,
( incident_o(X1,X2)
| ~ incident_c(X1,esk4_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39_040,plain,
( incident_c(X1,esk4_1(X2))
| ~ incident_o(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_40_041,plain,
inner_point(esk6_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_41_042,plain,
start_point(esk3_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_42_043,plain,
open(esk4_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_43_044,plain,
trajectory_of(X1) = esk1_1(X1),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_44_045,plain,
( ~ ordered_by(trajectory_of(X1),X2,X3)
| ~ ordered_by(trajectory_of(X4),X5,X6)
| ~ once(at_the_same_time(at(X4,X6),at(X1,X2)))
| ~ once(at_the_same_time(at(X4,X5),at(X1,X3))) ),
c_0_30,
[final] ).
cnf(c_0_45_046,plain,
( X3 = X1
| incident_c(X4,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2)
| ~ incident_o(X4,esk2_3(X3,X1,X2)) ),
c_0_31,
[final] ).
cnf(c_0_46_047,plain,
( part_of(X1,X2)
| part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
c_0_32,
[final] ).
cnf(c_0_47_048,plain,
( X3 = X1
| ordered_by(esk2_3(X3,X1,X2),X3,X1)
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2) ),
c_0_33,
[final] ).
cnf(c_0_48_049,plain,
( X3 = X1
| incident_o(X4,esk2_3(X3,X1,X2))
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2)
| ~ incident_c(X4,X2) ),
c_0_34,
[final] ).
cnf(c_0_49_050,plain,
( meet(X1,X2,X3)
| ~ end_point(X1,X2)
| X4 != sum(X2,X3)
| ~ meet(X5,X2,X3)
| ~ closed(X4) ),
c_0_35,
[final] ).
cnf(c_0_50_051,plain,
( sum(X1,X2) = esk5_2(X1,X2)
| ~ meet(X3,X1,X2) ),
c_0_36,
[final] ).
cnf(c_0_51_052,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| ~ end_point(X2,X4)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
c_0_37,
[final] ).
cnf(c_0_52_053,plain,
( incident_o(X1,X2)
| ~ incident_c(X1,esk4_1(X2)) ),
c_0_38,
[final] ).
cnf(c_0_53_054,plain,
( incident_c(X1,esk4_1(X2))
| ~ incident_o(X1,X2) ),
c_0_39,
[final] ).
cnf(c_0_54_055,plain,
inner_point(esk6_1(X1),X1),
c_0_40,
[final] ).
cnf(c_0_55_056,plain,
start_point(esk3_1(X1),X1),
c_0_41,
[final] ).
cnf(c_0_56_057,plain,
open(esk4_1(X1)),
c_0_42,
[final] ).
cnf(c_0_57_058,plain,
esk1_1(X1) = trajectory_of(X1),
c_0_43,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_44_0,axiom,
( ~ ordered_by(trajectory_of(X1),X2,X3)
| ~ ordered_by(trajectory_of(X4),X5,X6)
| ~ once(at_the_same_time(at(X4,X6),at(X1,X2)))
| ~ once(at_the_same_time(at(X4,X5),at(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_1,axiom,
( ~ ordered_by(trajectory_of(X4),X5,X6)
| ~ ordered_by(trajectory_of(X1),X2,X3)
| ~ once(at_the_same_time(at(X4,X6),at(X1,X2)))
| ~ once(at_the_same_time(at(X4,X5),at(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_2,axiom,
( ~ once(at_the_same_time(at(X4,X6),at(X1,X2)))
| ~ ordered_by(trajectory_of(X4),X5,X6)
| ~ ordered_by(trajectory_of(X1),X2,X3)
| ~ once(at_the_same_time(at(X4,X5),at(X1,X3))) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_44_3,axiom,
( ~ once(at_the_same_time(at(X4,X5),at(X1,X3)))
| ~ once(at_the_same_time(at(X4,X6),at(X1,X2)))
| ~ ordered_by(trajectory_of(X4),X5,X6)
| ~ ordered_by(trajectory_of(X1),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_44]) ).
cnf(c_0_45_0,axiom,
( X3 = X1
| incident_c(X4,X2)
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2)
| ~ incident_o(X4,sk2_esk2_3(X3,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_1,axiom,
( incident_c(X4,X2)
| X3 = X1
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2)
| ~ incident_o(X4,sk2_esk2_3(X3,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_2,axiom,
( ~ incident_c(X1,X2)
| incident_c(X4,X2)
| X3 = X1
| ~ incident_c(X3,X2)
| ~ open(X2)
| ~ incident_o(X4,sk2_esk2_3(X3,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_3,axiom,
( ~ incident_c(X3,X2)
| ~ incident_c(X1,X2)
| incident_c(X4,X2)
| X3 = X1
| ~ open(X2)
| ~ incident_o(X4,sk2_esk2_3(X3,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_4,axiom,
( ~ open(X2)
| ~ incident_c(X3,X2)
| ~ incident_c(X1,X2)
| incident_c(X4,X2)
| X3 = X1
| ~ incident_o(X4,sk2_esk2_3(X3,X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_45_5,axiom,
( ~ incident_o(X4,sk2_esk2_3(X3,X1,X2))
| ~ open(X2)
| ~ incident_c(X3,X2)
| ~ incident_c(X1,X2)
| incident_c(X4,X2)
| X3 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_45]) ).
cnf(c_0_46_0,axiom,
( part_of(X1,X2)
| part_of(X2,X1)
| part_of(X3,X2)
| part_of(X2,X3)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_1,axiom,
( part_of(X2,X1)
| part_of(X1,X2)
| part_of(X3,X2)
| part_of(X2,X3)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_2,axiom,
( part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| part_of(X2,X3)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_3,axiom,
( part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| part_of(X1,X3)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_4,axiom,
( part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| part_of(X3,X1)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_5,axiom,
( part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ end_point(X4,X1)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_6,axiom,
( ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_7,axiom,
( ~ end_point(X4,X3)
| ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ end_point(X4,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_8,axiom,
( ~ end_point(X4,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ part_of(X1,X5)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_9,axiom,
( ~ part_of(X1,X5)
| ~ end_point(X4,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ part_of(X3,X5)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_10,axiom,
( ~ part_of(X3,X5)
| ~ part_of(X1,X5)
| ~ end_point(X4,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2)
| ~ part_of(X2,X5) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_46_11,axiom,
( ~ part_of(X2,X5)
| ~ part_of(X3,X5)
| ~ part_of(X1,X5)
| ~ end_point(X4,X2)
| ~ end_point(X4,X3)
| ~ end_point(X4,X1)
| part_of(X3,X1)
| part_of(X1,X3)
| part_of(X2,X3)
| part_of(X3,X2)
| part_of(X2,X1)
| part_of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_46]) ).
cnf(c_0_47_0,axiom,
( X3 = X1
| ordered_by(sk2_esk2_3(X3,X1,X2),X3,X1)
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_1,axiom,
( ordered_by(sk2_esk2_3(X3,X1,X2),X3,X1)
| X3 = X1
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_2,axiom,
( ~ incident_c(X1,X2)
| ordered_by(sk2_esk2_3(X3,X1,X2),X3,X1)
| X3 = X1
| ~ incident_c(X3,X2)
| ~ open(X2) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_3,axiom,
( ~ incident_c(X3,X2)
| ~ incident_c(X1,X2)
| ordered_by(sk2_esk2_3(X3,X1,X2),X3,X1)
| X3 = X1
| ~ open(X2) ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_47_4,axiom,
( ~ open(X2)
| ~ incident_c(X3,X2)
| ~ incident_c(X1,X2)
| ordered_by(sk2_esk2_3(X3,X1,X2),X3,X1)
| X3 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_47]) ).
cnf(c_0_48_0,axiom,
( X3 = X1
| incident_o(X4,sk2_esk2_3(X3,X1,X2))
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2)
| ~ incident_c(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_1,axiom,
( incident_o(X4,sk2_esk2_3(X3,X1,X2))
| X3 = X1
| ~ incident_c(X1,X2)
| ~ incident_c(X3,X2)
| ~ open(X2)
| ~ incident_c(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_2,axiom,
( ~ incident_c(X1,X2)
| incident_o(X4,sk2_esk2_3(X3,X1,X2))
| X3 = X1
| ~ incident_c(X3,X2)
| ~ open(X2)
| ~ incident_c(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_3,axiom,
( ~ incident_c(X3,X2)
| ~ incident_c(X1,X2)
| incident_o(X4,sk2_esk2_3(X3,X1,X2))
| X3 = X1
| ~ open(X2)
| ~ incident_c(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_4,axiom,
( ~ open(X2)
| ~ incident_c(X3,X2)
| ~ incident_c(X1,X2)
| incident_o(X4,sk2_esk2_3(X3,X1,X2))
| X3 = X1
| ~ incident_c(X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_48_5,axiom,
( ~ incident_c(X4,X2)
| ~ open(X2)
| ~ incident_c(X3,X2)
| ~ incident_c(X1,X2)
| incident_o(X4,sk2_esk2_3(X3,X1,X2))
| X3 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_48]) ).
cnf(c_0_49_0,axiom,
( meet(X1,X2,X3)
| ~ end_point(X1,X2)
| X4 != sum(X2,X3)
| ~ meet(X5,X2,X3)
| ~ closed(X4) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_1,axiom,
( ~ end_point(X1,X2)
| meet(X1,X2,X3)
| X4 != sum(X2,X3)
| ~ meet(X5,X2,X3)
| ~ closed(X4) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_2,axiom,
( X4 != sum(X2,X3)
| ~ end_point(X1,X2)
| meet(X1,X2,X3)
| ~ meet(X5,X2,X3)
| ~ closed(X4) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_3,axiom,
( ~ meet(X5,X2,X3)
| X4 != sum(X2,X3)
| ~ end_point(X1,X2)
| meet(X1,X2,X3)
| ~ closed(X4) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_49_4,axiom,
( ~ closed(X4)
| ~ meet(X5,X2,X3)
| X4 != sum(X2,X3)
| ~ end_point(X1,X2)
| meet(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_49]) ).
cnf(c_0_50_0,axiom,
( sum(X1,X2) = sk2_esk5_2(X1,X2)
| ~ meet(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_50_1,axiom,
( ~ meet(X3,X1,X2)
| sum(X1,X2) = sk2_esk5_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_50]) ).
cnf(c_0_51_0,axiom,
( X1 = X2
| X3 = X2
| X3 = X1
| ~ end_point(X2,X4)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_1,axiom,
( X3 = X2
| X1 = X2
| X3 = X1
| ~ end_point(X2,X4)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_2,axiom,
( X3 = X1
| X3 = X2
| X1 = X2
| ~ end_point(X2,X4)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_3,axiom,
( ~ end_point(X2,X4)
| X3 = X1
| X3 = X2
| X1 = X2
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_4,axiom,
( ~ end_point(X1,X4)
| ~ end_point(X2,X4)
| X3 = X1
| X3 = X2
| X1 = X2
| ~ end_point(X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_51_5,axiom,
( ~ end_point(X3,X4)
| ~ end_point(X1,X4)
| ~ end_point(X2,X4)
| X3 = X1
| X3 = X2
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_51]) ).
cnf(c_0_52_0,axiom,
( incident_o(X1,X2)
| ~ incident_c(X1,sk2_esk4_1(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_52_1,axiom,
( ~ incident_c(X1,sk2_esk4_1(X2))
| incident_o(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_52]) ).
cnf(c_0_53_0,axiom,
( incident_c(X1,sk2_esk4_1(X2))
| ~ incident_o(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_53_1,axiom,
( ~ incident_o(X1,X2)
| incident_c(X1,sk2_esk4_1(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_53]) ).
cnf(c_0_54_0,axiom,
inner_point(sk2_esk6_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_54]) ).
cnf(c_0_55_0,axiom,
start_point(sk2_esk3_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_55]) ).
cnf(c_0_56_0,axiom,
open(sk2_esk4_1(X1)),
inference(literals_permutation,[status(thm)],[c_0_56]) ).
cnf(c_0_57_0,axiom,
sk2_esk1_1(X1) = trajectory_of(X1),
inference(literals_permutation,[status(thm)],[c_0_57]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_059,conjecture,
! [X1,X2,X3] :
( connect(X2,X3,X1)
=> ( incident_o(X1,trajectory_of(X2))
& incident_o(X1,trajectory_of(X3)) ) ),
file('<stdin>',t13) ).
fof(c_0_1_060,negated_conjecture,
~ ! [X1,X2,X3] :
( connect(X2,X3,X1)
=> ( incident_o(X1,trajectory_of(X2))
& incident_o(X1,trajectory_of(X3)) ) ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_061,negated_conjecture,
( connect(esk2_0,esk3_0,esk1_0)
& ( ~ incident_o(esk1_0,trajectory_of(esk2_0))
| ~ incident_o(esk1_0,trajectory_of(esk3_0)) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_062,negated_conjecture,
connect(esk2_0,esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_063,negated_conjecture,
( ~ incident_o(esk1_0,trajectory_of(esk3_0))
| ~ incident_o(esk1_0,trajectory_of(esk2_0)) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_064,negated_conjecture,
connect(esk2_0,esk3_0,esk1_0),
c_0_3,
[final] ).
cnf(c_0_6_065,negated_conjecture,
( ~ incident_o(esk1_0,trajectory_of(esk3_0))
| ~ incident_o(esk1_0,trajectory_of(esk2_0)) ),
c_0_4,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_66,plain,
( incident_o(X0,trajectory_of(X1))
| ~ once(at(X1,X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_87186a.p',c_0_286_0) ).
cnf(c_299,plain,
( incident_o(X0,trajectory_of(X1))
| ~ once(at(X1,X0)) ),
inference(copy,[status(esa)],[c_66]) ).
cnf(c_13216,plain,
( ~ once(at(sk3_esk2_0,sk3_esk1_0))
| incident_o(sk3_esk1_0,trajectory_of(sk3_esk2_0)) ),
inference(instantiation,[status(thm)],[c_299]) ).
cnf(c_13212,plain,
( ~ once(at(sk3_esk3_0,sk3_esk1_0))
| incident_o(sk3_esk1_0,trajectory_of(sk3_esk3_0)) ),
inference(instantiation,[status(thm)],[c_299]) ).
cnf(c_55,plain,
( once(X0)
| ~ once(at_the_same_time(X0,X1)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_87186a.p',c_0_297_0) ).
cnf(c_288,plain,
( once(X0)
| ~ once(at_the_same_time(X0,X1)) ),
inference(copy,[status(esa)],[c_55]) ).
cnf(c_13102,plain,
( once(at(sk3_esk2_0,sk3_esk1_0))
| ~ once(at_the_same_time(at(sk3_esk2_0,sk3_esk1_0),at(sk3_esk3_0,sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_288]) ).
cnf(c_54,plain,
( once(X0)
| ~ once(at_the_same_time(X1,X0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_87186a.p',c_0_298_0) ).
cnf(c_287,plain,
( once(X0)
| ~ once(at_the_same_time(X1,X0)) ),
inference(copy,[status(esa)],[c_54]) ).
cnf(c_13100,plain,
( once(at(sk3_esk3_0,sk3_esk1_0))
| ~ once(at_the_same_time(at(sk3_esk2_0,sk3_esk1_0),at(sk3_esk3_0,sk3_esk1_0))) ),
inference(instantiation,[status(thm)],[c_287]) ).
cnf(c_111,plain,
( once(at_the_same_time(at(X0,X1),at(X2,X1)))
| ~ connect(X0,X2,X1) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_87186a.p',c_0_241_0) ).
cnf(c_344,plain,
( once(at_the_same_time(at(X0,X1),at(X2,X1)))
| ~ connect(X0,X2,X1) ),
inference(copy,[status(esa)],[c_111]) ).
cnf(c_13065,plain,
( once(at_the_same_time(at(sk3_esk2_0,sk3_esk1_0),at(sk3_esk3_0,sk3_esk1_0)))
| ~ connect(sk3_esk2_0,sk3_esk3_0,sk3_esk1_0) ),
inference(instantiation,[status(thm)],[c_344]) ).
cnf(c_139,negated_conjecture,
( ~ incident_o(sk3_esk1_0,trajectory_of(sk3_esk3_0))
| ~ incident_o(sk3_esk1_0,trajectory_of(sk3_esk2_0)) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_87186a.p',c_0_6) ).
cnf(c_140,negated_conjecture,
connect(sk3_esk2_0,sk3_esk3_0,sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_87186a.p',c_0_5) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_13216,c_13212,c_13102,c_13100,c_13065,c_139,c_140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO147+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 06:50:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running in mono-core mode
% 0.19/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.42 % FOF problem with conjecture
% 0.19/0.42 % 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/sandbox/tmp/iprover_proof_370da6.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_87186a.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_70606b | grep -v "SZS"
% 0.19/0.45
% 0.19/0.45 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.45
% 0.19/0.45 %
% 0.19/0.45 % ------ iProver source info
% 0.19/0.45
% 0.19/0.45 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.45 % git: non_committed_changes: true
% 0.19/0.45 % git: last_make_outside_of_git: true
% 0.19/0.45
% 0.19/0.45 %
% 0.19/0.45 % ------ Input Options
% 0.19/0.45
% 0.19/0.45 % --out_options all
% 0.19/0.45 % --tptp_safe_out true
% 0.19/0.45 % --problem_path ""
% 0.19/0.45 % --include_path ""
% 0.19/0.45 % --clausifier .//eprover
% 0.19/0.45 % --clausifier_options --tstp-format
% 0.19/0.45 % --stdin false
% 0.19/0.45 % --dbg_backtrace false
% 0.19/0.45 % --dbg_dump_prop_clauses false
% 0.19/0.45 % --dbg_dump_prop_clauses_file -
% 0.19/0.45 % --dbg_out_stat false
% 0.19/0.45
% 0.19/0.45 % ------ General Options
% 0.19/0.45
% 0.19/0.45 % --fof false
% 0.19/0.45 % --time_out_real 150.
% 0.19/0.45 % --time_out_prep_mult 0.2
% 0.19/0.45 % --time_out_virtual -1.
% 0.19/0.45 % --schedule none
% 0.19/0.45 % --ground_splitting input
% 0.19/0.45 % --splitting_nvd 16
% 0.19/0.45 % --non_eq_to_eq false
% 0.19/0.45 % --prep_gs_sim true
% 0.19/0.45 % --prep_unflatten false
% 0.19/0.45 % --prep_res_sim true
% 0.19/0.45 % --prep_upred true
% 0.19/0.45 % --res_sim_input true
% 0.19/0.45 % --clause_weak_htbl true
% 0.19/0.45 % --gc_record_bc_elim false
% 0.19/0.45 % --symbol_type_check false
% 0.19/0.45 % --clausify_out false
% 0.19/0.45 % --large_theory_mode false
% 0.19/0.45 % --prep_sem_filter none
% 0.19/0.45 % --prep_sem_filter_out false
% 0.19/0.45 % --preprocessed_out false
% 0.19/0.45 % --sub_typing false
% 0.19/0.45 % --brand_transform false
% 0.19/0.45 % --pure_diseq_elim true
% 0.19/0.45 % --min_unsat_core false
% 0.19/0.45 % --pred_elim true
% 0.19/0.45 % --add_important_lit false
% 0.19/0.45 % --soft_assumptions false
% 0.19/0.45 % --reset_solvers false
% 0.19/0.45 % --bc_imp_inh []
% 0.19/0.45 % --conj_cone_tolerance 1.5
% 0.19/0.45 % --prolific_symb_bound 500
% 0.19/0.45 % --lt_threshold 2000
% 0.19/0.45
% 0.19/0.45 % ------ SAT Options
% 0.19/0.45
% 0.19/0.45 % --sat_mode false
% 0.19/0.45 % --sat_fm_restart_options ""
% 0.19/0.45 % --sat_gr_def false
% 0.19/0.45 % --sat_epr_types true
% 0.19/0.45 % --sat_non_cyclic_types false
% 0.19/0.45 % --sat_finite_models false
% 0.19/0.45 % --sat_fm_lemmas false
% 0.19/0.45 % --sat_fm_prep false
% 0.19/0.45 % --sat_fm_uc_incr true
% 0.19/0.45 % --sat_out_model small
% 0.19/0.45 % --sat_out_clauses false
% 0.19/0.45
% 0.19/0.45 % ------ QBF Options
% 0.19/0.45
% 0.19/0.45 % --qbf_mode false
% 0.19/0.45 % --qbf_elim_univ true
% 0.19/0.45 % --qbf_sk_in true
% 0.19/0.45 % --qbf_pred_elim true
% 0.19/0.45 % --qbf_split 32
% 0.19/0.45
% 0.19/0.45 % ------ BMC1 Options
% 0.19/0.45
% 0.19/0.45 % --bmc1_incremental false
% 0.19/0.45 % --bmc1_axioms reachable_all
% 0.19/0.45 % --bmc1_min_bound 0
% 0.19/0.45 % --bmc1_max_bound -1
% 0.19/0.45 % --bmc1_max_bound_default -1
% 0.19/0.45 % --bmc1_symbol_reachability true
% 0.19/0.45 % --bmc1_property_lemmas false
% 0.19/0.45 % --bmc1_k_induction false
% 0.19/0.45 % --bmc1_non_equiv_states false
% 0.19/0.45 % --bmc1_deadlock false
% 0.19/0.45 % --bmc1_ucm false
% 0.19/0.45 % --bmc1_add_unsat_core none
% 0.19/0.45 % --bmc1_unsat_core_children false
% 0.19/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.45 % --bmc1_out_stat full
% 0.19/0.45 % --bmc1_ground_init false
% 0.19/0.45 % --bmc1_pre_inst_next_state false
% 0.19/0.45 % --bmc1_pre_inst_state false
% 0.19/0.45 % --bmc1_pre_inst_reach_state false
% 0.19/0.45 % --bmc1_out_unsat_core false
% 0.19/0.45 % --bmc1_aig_witness_out false
% 0.19/0.45 % --bmc1_verbose false
% 0.19/0.45 % --bmc1_dump_clauses_tptp false
% 0.34/0.57 % --bmc1_dump_unsat_core_tptp false
% 0.34/0.57 % --bmc1_dump_file -
% 0.34/0.57 % --bmc1_ucm_expand_uc_limit 128
% 0.34/0.57 % --bmc1_ucm_n_expand_iterations 6
% 0.34/0.57 % --bmc1_ucm_extend_mode 1
% 0.34/0.57 % --bmc1_ucm_init_mode 2
% 0.34/0.57 % --bmc1_ucm_cone_mode none
% 0.34/0.57 % --bmc1_ucm_reduced_relation_type 0
% 0.34/0.57 % --bmc1_ucm_relax_model 4
% 0.34/0.57 % --bmc1_ucm_full_tr_after_sat true
% 0.34/0.57 % --bmc1_ucm_expand_neg_assumptions false
% 0.34/0.57 % --bmc1_ucm_layered_model none
% 0.34/0.57 % --bmc1_ucm_max_lemma_size 10
% 0.34/0.57
% 0.34/0.57 % ------ AIG Options
% 0.34/0.57
% 0.34/0.57 % --aig_mode false
% 0.34/0.57
% 0.34/0.57 % ------ Instantiation Options
% 0.34/0.57
% 0.34/0.57 % --instantiation_flag true
% 0.34/0.57 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.34/0.57 % --inst_solver_per_active 750
% 0.34/0.57 % --inst_solver_calls_frac 0.5
% 0.34/0.57 % --inst_passive_queue_type priority_queues
% 0.34/0.57 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.34/0.57 % --inst_passive_queues_freq [25;2]
% 0.34/0.57 % --inst_dismatching true
% 0.34/0.57 % --inst_eager_unprocessed_to_passive true
% 0.34/0.57 % --inst_prop_sim_given true
% 0.34/0.57 % --inst_prop_sim_new false
% 0.34/0.57 % --inst_orphan_elimination true
% 0.34/0.57 % --inst_learning_loop_flag true
% 0.34/0.57 % --inst_learning_start 3000
% 0.34/0.57 % --inst_learning_factor 2
% 0.34/0.57 % --inst_start_prop_sim_after_learn 3
% 0.34/0.57 % --inst_sel_renew solver
% 0.34/0.57 % --inst_lit_activity_flag true
% 0.34/0.57 % --inst_out_proof true
% 0.34/0.57
% 0.34/0.57 % ------ Resolution Options
% 0.34/0.57
% 0.34/0.57 % --resolution_flag true
% 0.34/0.57 % --res_lit_sel kbo_max
% 0.34/0.57 % --res_to_prop_solver none
% 0.34/0.57 % --res_prop_simpl_new false
% 0.34/0.57 % --res_prop_simpl_given false
% 0.34/0.57 % --res_passive_queue_type priority_queues
% 0.34/0.57 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.34/0.57 % --res_passive_queues_freq [15;5]
% 0.34/0.57 % --res_forward_subs full
% 0.34/0.57 % --res_backward_subs full
% 0.34/0.57 % --res_forward_subs_resolution true
% 0.34/0.57 % --res_backward_subs_resolution true
% 0.34/0.57 % --res_orphan_elimination false
% 0.34/0.57 % --res_time_limit 1000.
% 0.34/0.57 % --res_out_proof true
% 0.34/0.57 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_370da6.s
% 0.34/0.57 % --modulo true
% 0.34/0.57
% 0.34/0.57 % ------ Combination Options
% 0.34/0.57
% 0.34/0.57 % --comb_res_mult 1000
% 0.34/0.57 % --comb_inst_mult 300
% 0.34/0.57 % ------
% 0.34/0.57
% 0.34/0.57 % ------ Parsing...% successful
% 0.34/0.57
% 0.34/0.57 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.34/0.57
% 0.34/0.57 % ------ Proving...
% 0.34/0.57 % ------ Problem Properties
% 0.34/0.57
% 0.34/0.57 %
% 0.34/0.57 % EPR false
% 0.34/0.57 % Horn false
% 0.34/0.57 % Has equality true
% 0.34/0.57
% 0.34/0.57 % % ------ Input Options Time Limit: Unbounded
% 0.34/0.57
% 0.34/0.57
% 0.34/0.57 Compiling...
% 0.34/0.57 Loading plugin: done.
% 0.34/0.57 % % ------ Current options:
% 0.34/0.57
% 0.34/0.57 % ------ Input Options
% 0.34/0.57
% 0.34/0.57 % --out_options all
% 0.34/0.57 % --tptp_safe_out true
% 0.34/0.57 % --problem_path ""
% 0.34/0.57 % --include_path ""
% 0.34/0.57 % --clausifier .//eprover
% 0.34/0.57 % --clausifier_options --tstp-format
% 0.34/0.57 % --stdin false
% 0.34/0.57 % --dbg_backtrace false
% 0.34/0.57 % --dbg_dump_prop_clauses false
% 0.34/0.57 % --dbg_dump_prop_clauses_file -
% 0.34/0.57 % --dbg_out_stat false
% 0.34/0.57
% 0.34/0.57 % ------ General Options
% 0.34/0.57
% 0.34/0.57 % --fof false
% 0.34/0.57 % --time_out_real 150.
% 0.34/0.57 % --time_out_prep_mult 0.2
% 0.34/0.57 % --time_out_virtual -1.
% 0.34/0.57 % --schedule none
% 0.34/0.57 % --ground_splitting input
% 0.34/0.57 % --splitting_nvd 16
% 0.34/0.57 % --non_eq_to_eq false
% 0.34/0.57 % --prep_gs_sim true
% 0.34/0.57 % --prep_unflatten false
% 0.34/0.57 % --prep_res_sim true
% 0.34/0.57 % --prep_upred true
% 0.34/0.57 % --res_sim_input true
% 0.34/0.57 % --clause_weak_htbl true
% 0.34/0.57 % --gc_record_bc_elim false
% 0.34/0.57 % --symbol_type_check false
% 0.34/0.57 % --clausify_out false
% 0.34/0.57 % --large_theory_mode false
% 0.34/0.57 % --prep_sem_filter none
% 0.34/0.57 % --prep_sem_filter_out false
% 0.34/0.57 % --preprocessed_out false
% 0.34/0.57 % --sub_typing false
% 0.34/0.57 % --brand_transform false
% 0.34/0.57 % --pure_diseq_elim true
% 0.34/0.57 % --min_unsat_core false
% 0.34/0.57 % --pred_elim true
% 0.34/0.57 % --add_important_lit false
% 0.34/0.57 % --soft_assumptions false
% 0.34/0.57 % --reset_solvers false
% 0.34/0.57 % --bc_imp_inh []
% 0.34/0.57 % --conj_cone_tolerance 1.5
% 0.34/0.57 % --prolific_symb_bound 500
% 0.34/0.57 % --lt_threshold 2000
% 0.34/0.57
% 0.34/0.57 % ------ SAT Options
% 0.34/0.57
% 0.34/0.57 % --sat_mode false
% 0.34/0.57 % --sat_fm_restart_options ""
% 0.34/0.57 % --sat_gr_def false
% 0.34/0.57 % --sat_epr_types true
% 0.34/0.57 % --sat_non_cyclic_types false
% 0.34/0.57 % --sat_finite_models false
% 0.34/0.57 % --sat_fm_lemmas false
% 0.34/0.57 % --sat_fm_prep false
% 0.34/0.57 % --sat_fm_uc_incr true
% 0.34/0.57 % --sat_out_model small
% 0.34/0.57 % --sat_out_clauses false
% 0.34/0.57
% 0.34/0.57 % ------ QBF Options
% 0.34/0.57
% 0.34/0.57 % --qbf_mode false
% 0.34/0.57 % --qbf_elim_univ true
% 0.34/0.57 % --qbf_sk_in true
% 0.34/0.57 % --qbf_pred_elim true
% 0.34/0.57 % --qbf_split 32
% 0.34/0.57
% 0.34/0.57 % ------ BMC1 Options
% 0.34/0.57
% 0.34/0.57 % --bmc1_incremental false
% 0.34/0.57 % --bmc1_axioms reachable_all
% 0.34/0.57 % --bmc1_min_bound 0
% 0.34/0.57 % --bmc1_max_bound -1
% 0.34/0.57 % --bmc1_max_bound_default -1
% 0.34/0.57 % --bmc1_symbol_reachability true
% 0.34/0.57 % --bmc1_property_lemmas false
% 0.34/0.57 % --bmc1_k_induction false
% 0.34/0.57 % --bmc1_non_equiv_states false
% 0.34/0.57 % --bmc1_deadlock false
% 0.34/0.57 % --bmc1_ucm false
% 0.34/0.57 % --bmc1_add_unsat_core none
% 0.34/0.57 % --bmc1_unsat_core_children false
% 0.34/0.57 % --bmc1_unsat_core_extrapolate_axioms false
% 0.34/0.57 % --bmc1_out_stat full
% 0.34/0.57 % --bmc1_ground_init false
% 0.34/0.57 % --bmc1_pre_inst_next_state false
% 0.34/0.57 % --bmc1_pre_inst_state false
% 0.34/0.57 % --bmc1_pre_inst_reach_state false
% 0.34/0.57 % --bmc1_out_unsat_core false
% 0.34/0.57 % --bmc1_aig_witness_out false
% 0.34/0.57 % --bmc1_verbose false
% 0.34/0.57 % --bmc1_dump_clauses_tptp false
% 0.34/0.57 % --bmc1_dump_unsat_core_tptp false
% 0.34/0.57 % --bmc1_dump_file -
% 0.34/0.57 % --bmc1_ucm_expand_uc_limit 128
% 0.34/0.57 % --bmc1_ucm_n_expand_iterations 6
% 0.34/0.57 % --bmc1_ucm_extend_mode 1
% 0.34/0.57 % --bmc1_ucm_init_mode 2
% 0.34/0.57 % --bmc1_ucm_cone_mode none
% 0.34/0.57 % --bmc1_ucm_reduced_relation_type 0
% 0.34/0.57 % --bmc1_ucm_relax_model 4
% 0.34/0.57 % --bmc1_ucm_full_tr_after_sat true
% 0.34/0.57 % --bmc1_ucm_expand_neg_assumptions false
% 0.34/0.57 % --bmc1_ucm_layered_model none
% 0.34/0.57 % --bmc1_ucm_max_lemma_size 10
% 0.34/0.57
% 0.34/0.57 % ------ AIG Options
% 0.34/0.57
% 0.34/0.57 % --aig_mode false
% 0.34/0.57
% 0.34/0.57 % ------ Instantiation Options
% 0.34/0.57
% 0.34/0.57 % --instantiation_flag true
% 0.34/0.57 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.34/0.57 % --inst_solver_per_active 750
% 0.34/0.57 % --inst_solver_calls_frac 0.5
% 0.34/0.57 % --inst_passive_queue_type priority_queues
% 0.34/0.57 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.34/0.57 % --inst_passive_queues_freq [25;2]
% 0.34/0.57 % --inst_dismatching true
% 0.34/0.57 % --inst_eager_unprocessed_to_passive true
% 1.34/1.59 % --inst_prop_sim_given true
% 1.34/1.59 % --inst_prop_sim_new false
% 1.34/1.59 % --inst_orphan_elimination true
% 1.34/1.59 % --inst_learning_loop_flag true
% 1.34/1.59 % --inst_learning_start 3000
% 1.34/1.59 % --inst_learning_factor 2
% 1.34/1.59 % --inst_start_prop_sim_after_learn 3
% 1.34/1.59 % --inst_sel_renew solver
% 1.34/1.59 % --inst_lit_activity_flag true
% 1.34/1.59 % --inst_out_proof true
% 1.34/1.59
% 1.34/1.59 % ------ Resolution Options
% 1.34/1.59
% 1.34/1.59 % --resolution_flag true
% 1.34/1.59 % --res_lit_sel kbo_max
% 1.34/1.59 % --res_to_prop_solver none
% 1.34/1.59 % --res_prop_simpl_new false
% 1.34/1.59 % --res_prop_simpl_given false
% 1.34/1.59 % --res_passive_queue_type priority_queues
% 1.34/1.59 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.34/1.59 % --res_passive_queues_freq [15;5]
% 1.34/1.59 % --res_forward_subs full
% 1.34/1.59 % --res_backward_subs full
% 1.34/1.59 % --res_forward_subs_resolution true
% 1.34/1.59 % --res_backward_subs_resolution true
% 1.34/1.59 % --res_orphan_elimination false
% 1.34/1.59 % --res_time_limit 1000.
% 1.34/1.59 % --res_out_proof true
% 1.34/1.59 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_370da6.s
% 1.34/1.59 % --modulo true
% 1.34/1.59
% 1.34/1.59 % ------ Combination Options
% 1.34/1.59
% 1.34/1.59 % --comb_res_mult 1000
% 1.34/1.59 % --comb_inst_mult 300
% 1.34/1.59 % ------
% 1.34/1.59
% 1.34/1.59
% 1.34/1.59
% 1.34/1.59 % ------ Proving...
% 1.34/1.59 %
% 1.34/1.59
% 1.34/1.59
% 1.34/1.59 % ------ Statistics
% 1.34/1.59
% 1.34/1.59 % ------ General
% 1.34/1.59
% 1.34/1.59 % num_of_input_clauses: 141
% 1.34/1.59 % num_of_input_neg_conjectures: 2
% 1.34/1.59 % num_of_splits: 0
% 1.34/1.59 % num_of_split_atoms: 0
% 1.34/1.59 % num_of_sem_filtered_clauses: 0
% 1.34/1.59 % num_of_subtypes: 0
% 1.34/1.59 % monotx_restored_types: 0
% 1.34/1.59 % sat_num_of_epr_types: 0
% 1.34/1.59 % sat_num_of_non_cyclic_types: 0
% 1.34/1.59 % sat_guarded_non_collapsed_types: 0
% 1.34/1.59 % is_epr: 0
% 1.34/1.59 % is_horn: 0
% 1.34/1.59 % has_eq: 1
% 1.34/1.59 % num_pure_diseq_elim: 0
% 1.34/1.59 % simp_replaced_by: 0
% 1.34/1.59 % res_preprocessed: 4
% 1.34/1.59 % prep_upred: 0
% 1.34/1.59 % prep_unflattend: 0
% 1.34/1.59 % pred_elim_cands: 0
% 1.34/1.59 % pred_elim: 0
% 1.34/1.59 % pred_elim_cl: 0
% 1.34/1.59 % pred_elim_cycles: 0
% 1.34/1.59 % forced_gc_time: 0
% 1.34/1.59 % gc_basic_clause_elim: 0
% 1.34/1.59 % parsing_time: 0.008
% 1.34/1.59 % sem_filter_time: 0.
% 1.34/1.59 % pred_elim_time: 0.
% 1.34/1.59 % out_proof_time: 0.
% 1.34/1.59 % monotx_time: 0.
% 1.34/1.59 % subtype_inf_time: 0.
% 1.34/1.59 % unif_index_cands_time: 0.002
% 1.34/1.59 % unif_index_add_time: 0.006
% 1.34/1.59 % total_time: 1.155
% 1.34/1.59 % num_of_symbols: 74
% 1.34/1.59 % num_of_terms: 11690
% 1.34/1.59
% 1.34/1.59 % ------ Propositional Solver
% 1.34/1.59
% 1.34/1.59 % prop_solver_calls: 5
% 1.34/1.59 % prop_fast_solver_calls: 9
% 1.34/1.59 % prop_num_of_clauses: 490
% 1.34/1.59 % prop_preprocess_simplified: 1104
% 1.34/1.59 % prop_fo_subsumed: 0
% 1.34/1.59 % prop_solver_time: 0.
% 1.34/1.59 % prop_fast_solver_time: 0.
% 1.34/1.59 % prop_unsat_core_time: 0.
% 1.34/1.59
% 1.34/1.59 % ------ QBF
% 1.34/1.59
% 1.34/1.59 % qbf_q_res: 0
% 1.34/1.59 % qbf_num_tautologies: 0
% 1.34/1.59 % qbf_prep_cycles: 0
% 1.34/1.59
% 1.34/1.59 % ------ BMC1
% 1.34/1.59
% 1.34/1.59 % bmc1_current_bound: -1
% 1.34/1.59 % bmc1_last_solved_bound: -1
% 1.34/1.59 % bmc1_unsat_core_size: -1
% 1.34/1.59 % bmc1_unsat_core_parents_size: -1
% 1.34/1.59 % bmc1_merge_next_fun: 0
% 1.34/1.59 % bmc1_unsat_core_clauses_time: 0.
% 1.34/1.59
% 1.34/1.59 % ------ Instantiation
% 1.34/1.59
% 1.34/1.59 % inst_num_of_clauses: 336
% 1.34/1.59 % inst_num_in_passive: 33
% 1.34/1.59 % inst_num_in_active: 179
% 1.34/1.59 % inst_num_in_unprocessed: 123
% 1.34/1.59 % inst_num_of_loops: 188
% 1.34/1.59 % inst_num_of_learning_restarts: 0
% 1.34/1.59 % inst_num_moves_active_passive: 6
% 1.34/1.59 % inst_lit_activity: 85
% 1.34/1.59 % inst_lit_activity_moves: 0
% 1.34/1.59 % inst_num_tautologies: 0
% 1.34/1.59 % inst_num_prop_implied: 0
% 1.34/1.59 % inst_num_existing_simplified: 0
% 1.34/1.59 % inst_num_eq_res_simplified: 0
% 1.34/1.59 % inst_num_child_elim: 0
% 1.34/1.59 % inst_num_of_dismatching_blockings: 69
% 1.34/1.59 % inst_num_of_non_proper_insts: 104
% 1.34/1.59 % inst_num_of_duplicates: 89
% 1.34/1.59 % inst_inst_num_from_inst_to_res: 0
% 1.34/1.59 % inst_dismatching_checking_time: 0.
% 1.34/1.59
% 1.34/1.59 % ------ Resolution
% 1.34/1.59
% 1.34/1.59 % res_num_of_clauses: 3227
% 1.34/1.59 % res_num_in_passive: 2184
% 1.34/1.59 % res_num_in_active: 1036
% 1.34/1.59 % res_num_of_loops: 1000
% 1.34/1.59 % res_forward_subset_subsumed: 1830
% 1.34/1.59 % res_backward_subset_subsumed: 116
% 1.34/1.59 % res_forward_subsumed: 60
% 1.34/1.59 % res_backward_subsumed: 13
% 1.34/1.59 % res_forward_subsumption_resolution: 0
% 1.34/1.59 % res_backward_subsumption_resolution: 0
% 1.34/1.59 % res_clause_to_clause_subsumption: 1783
% 1.34/1.59 % res_orphan_elimination: 0
% 1.34/1.59 % res_tautology_del: 0
% 1.34/1.59 % res_num_eq_res_simplified: 0
% 1.34/1.59 % res_num_sel_changes: 0
% 1.34/1.59 % res_moves_from_active_to_pass: 0
% 1.34/1.59
% 1.34/1.59 % Status Unsatisfiable
% 1.34/1.59 % SZS status Theorem
% 1.34/1.59 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------