TSTP Solution File: GEO082+1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 04:40:25 EDT 2022
% Result : Theorem 4.77s 4.96s
% Output : CNFRefutation 4.77s
% 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(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]) ).
% Start CNF derivation
fof(c_0_0,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_1,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_2,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_3,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_4,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_5,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_6,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_7,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_8,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_9,axiom,
! [X3,X2] :
( lhs_atom5(X3,X2)
| ? [X5] :
( end_point(X5,X2)
& X3 != X5 ) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_10,axiom,
! [X3,X2] :
( lhs_atom8(X3,X2)
| ~ ( incident_c(X3,X2)
& ~ end_point(X3,X2) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_11,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_12,axiom,
! [X3,X2] :
( lhs_atom7(X3,X2)
| ( incident_c(X3,X2)
& ~ end_point(X3,X2) ) ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_13,axiom,
! [X1,X2] :
( lhs_atom15(X1)
| ~ ( part_of(X1,X2)
& X1 != X2 ) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_14,axiom,
! [X2] :
( lhs_atom14(X2)
| ~ ? [X3] : end_point(X3,X2) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_15,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ ? [X3] : end_point(X3,X2) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_16,axiom,
! [X2] :
( lhs_atom13(X2)
| ? [X3] : end_point(X3,X2) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_17,axiom,
! [X2] :
( lhs_atom12(X2)
| ? [X3] : end_point(X3,X2) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_18,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_0 ).
fof(c_0_19,axiom,
! [X4,X1,X2] :
( lhs_atom4(X4,X1,X2)
| ~ ! [X5] :
( incident_c(X5,X2)
<=> ( incident_c(X5,X1)
| incident_c(X5,X4) ) ) ),
c_0_1 ).
fof(c_0_20,axiom,
! [X1,X2] :
( lhs_atom16(X1,X2)
| ~ ! [X3] :
( incident_c(X3,X2)
<=> incident_c(X3,X1) ) ),
c_0_2 ).
fof(c_0_21,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_3 ).
fof(c_0_22,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_4 ).
fof(c_0_23,axiom,
! [X3,X2] :
( lhs_atom7(X3,X2)
| ? [X1,X4] :
( meet(X3,X1,X4)
& X2 = sum(X1,X4) ) ),
c_0_5 ).
fof(c_0_24,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_6 ).
fof(c_0_25,axiom,
! [X4,X1,X2] :
( lhs_atom3(X4,X1,X2)
| ! [X5] :
( incident_c(X5,X2)
<=> ( incident_c(X5,X1)
| incident_c(X5,X4) ) ) ),
c_0_7 ).
fof(c_0_26,axiom,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ ! [X3] :
( incident_c(X3,X1)
=> incident_c(X3,X2) ) ),
c_0_8 ).
fof(c_0_27,axiom,
! [X3,X2] :
( lhs_atom5(X3,X2)
| ? [X5] :
( end_point(X5,X2)
& X3 != X5 ) ),
c_0_9 ).
fof(c_0_28,plain,
! [X3,X2] :
( lhs_atom8(X3,X2)
| ~ ( incident_c(X3,X2)
& ~ end_point(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_29,axiom,
! [X1,X2] :
( lhs_atom1(X1,X2)
| ! [X3] :
( incident_c(X3,X1)
=> incident_c(X3,X2) ) ),
c_0_11 ).
fof(c_0_30,plain,
! [X3,X2] :
( lhs_atom7(X3,X2)
| ( incident_c(X3,X2)
& ~ end_point(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_31,axiom,
! [X1,X2] :
( lhs_atom15(X1)
| ~ ( part_of(X1,X2)
& X1 != X2 ) ),
c_0_13 ).
fof(c_0_32,axiom,
! [X2] :
( lhs_atom14(X2)
| ~ ? [X3] : end_point(X3,X2) ),
c_0_14 ).
fof(c_0_33,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ ? [X3] : end_point(X3,X2) ),
c_0_15 ).
fof(c_0_34,axiom,
! [X2] :
( lhs_atom13(X2)
| ? [X3] : end_point(X3,X2) ),
c_0_16 ).
fof(c_0_35,axiom,
! [X2] :
( lhs_atom12(X2)
| ? [X3] : end_point(X3,X2) ),
c_0_17 ).
fof(c_0_36,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_18])])])]) ).
fof(c_0_37,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_19])])])]) ).
fof(c_0_38,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_20])])])]) ).
fof(c_0_39,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_21])])])]) ).
fof(c_0_40,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_22])])])]) ).
fof(c_0_41,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_23])])]) ).
fof(c_0_42,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_24])])])]) ).
fof(c_0_43,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_25])])])])]) ).
fof(c_0_44,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_26])])])]) ).
fof(c_0_45,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_27])])]) ).
fof(c_0_46,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_28])]) ).
fof(c_0_47,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_29])])]) ).
fof(c_0_48,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_30])]) ).
fof(c_0_49,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_31])])])]) ).
fof(c_0_50,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_32])])]) ).
fof(c_0_51,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_33])])]) ).
fof(c_0_52,plain,
! [X4] :
( lhs_atom13(X4)
| end_point(esk7_1(X4),X4) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_34])]) ).
fof(c_0_53,plain,
! [X4] :
( lhs_atom12(X4)
| end_point(esk6_1(X4),X4) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_35])]) ).
cnf(c_0_54,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_36]) ).
cnf(c_0_55,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_37]) ).
cnf(c_0_56,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_37]) ).
cnf(c_0_57,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_37]) ).
cnf(c_0_58,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_36]) ).
cnf(c_0_59,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_36]) ).
cnf(c_0_60,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_38]) ).
cnf(c_0_61,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_39]) ).
cnf(c_0_62,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_39]) ).
cnf(c_0_63,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_40]) ).
cnf(c_0_64,plain,
( lhs_atom7(X1,X2)
| meet(X1,esk8_2(X1,X2),esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_65,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_42]) ).
cnf(c_0_66,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_42]) ).
cnf(c_0_67,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_43]) ).
cnf(c_0_68,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_38]) ).
cnf(c_0_69,plain,
( lhs_atom3(X1,X2,X3)
| incident_c(X4,X3)
| ~ incident_c(X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_70,plain,
( lhs_atom3(X1,X2,X3)
| incident_c(X4,X3)
| ~ incident_c(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_71,plain,
( lhs_atom7(X1,X2)
| X2 = sum(esk8_2(X1,X2),esk9_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_72,plain,
( lhs_atom2(X1,X2)
| ~ incident_c(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_73,plain,
( lhs_atom6(X1,X2)
| part_of(esk3_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_74,plain,
( lhs_atom6(X1,X2)
| part_of(esk4_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_75,plain,
( lhs_atom6(X1,X2)
| incident_c(X1,esk3_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_76,plain,
( lhs_atom6(X1,X2)
| incident_c(X1,esk4_2(X1,X2))
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_77,plain,
( lhs_atom9(X1,X2,X3)
| incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_78,plain,
( lhs_atom9(X1,X2,X3)
| incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_79,plain,
( lhs_atom5(X1,X2)
| end_point(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_80,plain,
( lhs_atom2(X1,X2)
| incident_c(esk1_2(X1,X2),X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_81,plain,
( end_point(X1,X2)
| lhs_atom8(X1,X2)
| ~ incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_82,plain,
( incident_c(X1,X2)
| lhs_atom1(X3,X2)
| ~ incident_c(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_83,plain,
( lhs_atom5(X1,X2)
| X1 != esk10_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_84,plain,
( lhs_atom7(X1,X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_85,plain,
( X1 = X2
| lhs_atom15(X1)
| ~ part_of(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_86,plain,
( lhs_atom7(X1,X2)
| incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_87,plain,
( lhs_atom5(X1,X2)
| incident_c(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_88,plain,
( lhs_atom14(X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_89,plain,
( lhs_atom11(X2)
| ~ end_point(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_90,plain,
( end_point(esk7_1(X1),X1)
| lhs_atom13(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_91,plain,
( end_point(esk6_1(X1),X1)
| lhs_atom12(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_92,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_54,
[final] ).
cnf(c_0_93,plain,
( lhs_atom4(X1,X2,X3)
| ~ incident_c(esk2_3(X1,X2,X3),X3)
| ~ incident_c(esk2_3(X1,X2,X3),X2) ),
c_0_55,
[final] ).
cnf(c_0_94,plain,
( lhs_atom4(X1,X2,X3)
| ~ incident_c(esk2_3(X1,X2,X3),X3)
| ~ incident_c(esk2_3(X1,X2,X3),X1) ),
c_0_56,
[final] ).
cnf(c_0_95,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_57,
[final] ).
cnf(c_0_96,plain,
( lhs_atom10(X1,X2,X3)
| incident_c(esk5_3(X1,X2,X3),X3)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
c_0_58,
[final] ).
cnf(c_0_97,plain,
( lhs_atom10(X1,X2,X3)
| incident_c(esk5_3(X1,X2,X3),X2)
| ~ incident_c(X1,X3)
| ~ incident_c(X1,X2) ),
c_0_59,
[final] ).
cnf(c_0_98,plain,
( lhs_atom16(X1,X2)
| ~ incident_c(esk11_2(X1,X2),X1)
| ~ incident_c(esk11_2(X1,X2),X2) ),
c_0_60,
[final] ).
cnf(c_0_99,plain,
( lhs_atom6(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk3_2(X1,X2),esk4_2(X1,X2)) ),
c_0_61,
[final] ).
cnf(c_0_100,plain,
( lhs_atom6(X1,X2)
| ~ incident_c(X1,X2)
| ~ part_of(esk4_2(X1,X2),esk3_2(X1,X2)) ),
c_0_62,
[final] ).
cnf(c_0_101,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_63,
[final] ).
cnf(c_0_102,plain,
( lhs_atom7(X1,X2)
| meet(X1,esk8_2(X1,X2),esk9_2(X1,X2)) ),
c_0_64,
[final] ).
cnf(c_0_103,plain,
( lhs_atom9(X1,X2,X3)
| end_point(X4,X3)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
c_0_65,
[final] ).
cnf(c_0_104,plain,
( lhs_atom9(X1,X2,X3)
| end_point(X4,X2)
| ~ incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
c_0_66,
[final] ).
cnf(c_0_105,plain,
( lhs_atom3(X1,X2,X3)
| incident_c(X4,X1)
| incident_c(X4,X2)
| ~ incident_c(X4,X3) ),
c_0_67,
[final] ).
cnf(c_0_106,plain,
( lhs_atom16(X1,X2)
| incident_c(esk11_2(X1,X2),X1)
| incident_c(esk11_2(X1,X2),X2) ),
c_0_68,
[final] ).
cnf(c_0_107,plain,
( lhs_atom3(X1,X2,X3)
| incident_c(X4,X3)
| ~ incident_c(X4,X2) ),
c_0_69,
[final] ).
cnf(c_0_108,plain,
( lhs_atom3(X1,X2,X3)
| incident_c(X4,X3)
| ~ incident_c(X4,X1) ),
c_0_70,
[final] ).
cnf(c_0_109,plain,
( lhs_atom7(X1,X2)
| sum(esk8_2(X1,X2),esk9_2(X1,X2)) = X2 ),
c_0_71,
[final] ).
cnf(c_0_110,plain,
( lhs_atom2(X1,X2)
| ~ incident_c(esk1_2(X1,X2),X2) ),
c_0_72,
[final] ).
cnf(c_0_111,plain,
( lhs_atom6(X1,X2)
| part_of(esk3_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
c_0_73,
[final] ).
cnf(c_0_112,plain,
( lhs_atom6(X1,X2)
| part_of(esk4_2(X1,X2),X2)
| ~ incident_c(X1,X2) ),
c_0_74,
[final] ).
cnf(c_0_113,plain,
( lhs_atom6(X1,X2)
| incident_c(X1,esk3_2(X1,X2))
| ~ incident_c(X1,X2) ),
c_0_75,
[final] ).
cnf(c_0_114,plain,
( lhs_atom6(X1,X2)
| incident_c(X1,esk4_2(X1,X2))
| ~ incident_c(X1,X2) ),
c_0_76,
[final] ).
cnf(c_0_115,plain,
( lhs_atom9(X1,X2,X3)
| incident_c(X1,X3) ),
c_0_77,
[final] ).
cnf(c_0_116,plain,
( lhs_atom9(X1,X2,X3)
| incident_c(X1,X2) ),
c_0_78,
[final] ).
cnf(c_0_117,plain,
( lhs_atom5(X1,X2)
| end_point(esk10_2(X1,X2),X2) ),
c_0_79,
[final] ).
cnf(c_0_118,plain,
( lhs_atom2(X1,X2)
| incident_c(esk1_2(X1,X2),X1) ),
c_0_80,
[final] ).
cnf(c_0_119,plain,
( end_point(X1,X2)
| lhs_atom8(X1,X2)
| ~ incident_c(X1,X2) ),
c_0_81,
[final] ).
cnf(c_0_120,plain,
( incident_c(X1,X2)
| lhs_atom1(X3,X2)
| ~ incident_c(X1,X3) ),
c_0_82,
[final] ).
cnf(c_0_121,plain,
( lhs_atom5(X1,X2)
| esk10_2(X1,X2) != X1 ),
c_0_83,
[final] ).
cnf(c_0_122,plain,
( lhs_atom7(X1,X2)
| ~ end_point(X1,X2) ),
c_0_84,
[final] ).
cnf(c_0_123,plain,
( X1 = X2
| lhs_atom15(X1)
| ~ part_of(X1,X2) ),
c_0_85,
[final] ).
cnf(c_0_124,plain,
( lhs_atom7(X1,X2)
| incident_c(X1,X2) ),
c_0_86,
[final] ).
cnf(c_0_125,plain,
( lhs_atom5(X1,X2)
| incident_c(X1,X2) ),
c_0_87,
[final] ).
cnf(c_0_126,plain,
( lhs_atom14(X2)
| ~ end_point(X1,X2) ),
c_0_88,
[final] ).
cnf(c_0_127,plain,
( lhs_atom11(X2)
| ~ end_point(X1,X2) ),
c_0_89,
[final] ).
cnf(c_0_128,plain,
( end_point(esk7_1(X1),X1)
| lhs_atom13(X1) ),
c_0_90,
[final] ).
cnf(c_0_129,plain,
( end_point(esk6_1(X1),X1)
| lhs_atom12(X1) ),
c_0_91,
[final] ).
% End CNF derivation
cnf(c_0_92_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_92,def_lhs_atom10]) ).
cnf(c_0_93_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_93,def_lhs_atom4]) ).
cnf(c_0_94_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_94,def_lhs_atom4]) ).
cnf(c_0_95_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_95,def_lhs_atom4]) ).
cnf(c_0_96_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_96,def_lhs_atom10]) ).
cnf(c_0_97_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_97,def_lhs_atom10]) ).
cnf(c_0_98_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_98,def_lhs_atom16]) ).
cnf(c_0_99_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_99,def_lhs_atom6]) ).
cnf(c_0_100_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_100,def_lhs_atom6]) ).
cnf(c_0_101_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_101,def_lhs_atom5]) ).
cnf(c_0_102_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_102,def_lhs_atom7]) ).
cnf(c_0_103_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_103,def_lhs_atom9]) ).
cnf(c_0_104_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_104,def_lhs_atom9]) ).
cnf(c_0_105_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_105,def_lhs_atom3]) ).
cnf(c_0_106_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_106,def_lhs_atom16]) ).
cnf(c_0_107_0,axiom,
( X3 != sum(X2,X1)
| incident_c(X4,X3)
| ~ incident_c(X4,X2) ),
inference(unfold_definition,[status(thm)],[c_0_107,def_lhs_atom3]) ).
cnf(c_0_108_0,axiom,
( X3 != sum(X2,X1)
| incident_c(X4,X3)
| ~ incident_c(X4,X1) ),
inference(unfold_definition,[status(thm)],[c_0_108,def_lhs_atom3]) ).
cnf(c_0_109_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_109,def_lhs_atom7]) ).
cnf(c_0_110_0,axiom,
( part_of(X1,X2)
| ~ incident_c(sk1_esk1_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_110,def_lhs_atom2]) ).
cnf(c_0_111_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_111,def_lhs_atom6]) ).
cnf(c_0_112_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_112,def_lhs_atom6]) ).
cnf(c_0_113_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_113,def_lhs_atom6]) ).
cnf(c_0_114_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_114,def_lhs_atom6]) ).
cnf(c_0_115_0,axiom,
( ~ meet(X1,X3,X2)
| incident_c(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_115,def_lhs_atom9]) ).
cnf(c_0_116_0,axiom,
( ~ meet(X1,X3,X2)
| incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_116,def_lhs_atom9]) ).
cnf(c_0_117_0,axiom,
( ~ end_point(X1,X2)
| end_point(sk1_esk10_2(X1,X2),X2) ),
inference(unfold_definition,[status(thm)],[c_0_117,def_lhs_atom5]) ).
cnf(c_0_118_0,axiom,
( part_of(X1,X2)
| incident_c(sk1_esk1_2(X1,X2),X1) ),
inference(unfold_definition,[status(thm)],[c_0_118,def_lhs_atom2]) ).
cnf(c_0_119_0,axiom,
( inner_point(X1,X2)
| end_point(X1,X2)
| ~ incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_119,def_lhs_atom8]) ).
cnf(c_0_120_0,axiom,
( ~ part_of(X3,X2)
| incident_c(X1,X2)
| ~ incident_c(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_120,def_lhs_atom1]) ).
cnf(c_0_121_0,axiom,
( ~ end_point(X1,X2)
| sk1_esk10_2(X1,X2) != X1 ),
inference(unfold_definition,[status(thm)],[c_0_121,def_lhs_atom5]) ).
cnf(c_0_122_0,axiom,
( ~ inner_point(X1,X2)
| ~ end_point(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_122,def_lhs_atom7]) ).
cnf(c_0_123_0,axiom,
( open(X1)
| X1 = X2
| ~ part_of(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_123,def_lhs_atom15]) ).
cnf(c_0_124_0,axiom,
( ~ inner_point(X1,X2)
| incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_124,def_lhs_atom7]) ).
cnf(c_0_125_0,axiom,
( ~ end_point(X1,X2)
| incident_c(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_125,def_lhs_atom5]) ).
cnf(c_0_126_0,axiom,
( open(X2)
| ~ end_point(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_126,def_lhs_atom14]) ).
cnf(c_0_127_0,axiom,
( ~ closed(X2)
| ~ end_point(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_127,def_lhs_atom11]) ).
cnf(c_0_128_0,axiom,
( ~ open(X1)
| end_point(sk1_esk7_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_128,def_lhs_atom13]) ).
cnf(c_0_129_0,axiom,
( closed(X1)
| end_point(sk1_esk6_1(X1),X1) ),
inference(unfold_definition,[status(thm)],[c_0_129,def_lhs_atom12]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X4,X1,X2,X7] :
( ( part_of(X1,X4)
& part_of(X2,X4)
& part_of(X7,X4)
& ? [X3] :
( end_point(X3,X1)
& end_point(X3,X2)
& end_point(X3,X7) ) )
=> ( part_of(X2,X7)
| part_of(X7,X2)
| part_of(X1,X2)
| part_of(X2,X1)
| part_of(X1,X7)
| part_of(X7,X1) ) ),
file('<stdin>',c2) ).
fof(c_0_1_002,axiom,
! [X4,X1,X2,X3] :
( ( closed(X4)
& meet(X3,X1,X2)
& X4 = sum(X1,X2) )
=> ! [X5] :
( end_point(X5,X1)
=> meet(X5,X1,X2) ) ),
file('<stdin>',c7) ).
fof(c_0_2_003,axiom,
! [X1,X2] :
( ? [X3] : meet(X3,X1,X2)
=> ? [X4] : X4 = sum(X1,X2) ),
file('<stdin>',c8) ).
fof(c_0_3_004,axiom,
! [X4,X3,X5,X6] :
( ( end_point(X3,X4)
& end_point(X5,X4)
& end_point(X6,X4) )
=> ( X3 = X5
| X3 = X6
| X5 = X6 ) ),
file('<stdin>',c5) ).
fof(c_0_4_005,axiom,
! [X4] :
? [X3] : inner_point(X3,X4),
file('<stdin>',c3) ).
fof(c_0_5_006,axiom,
! [X4,X1,X2,X7] :
( ( part_of(X1,X4)
& part_of(X2,X4)
& part_of(X7,X4)
& ? [X3] :
( end_point(X3,X1)
& end_point(X3,X2)
& end_point(X3,X7) ) )
=> ( part_of(X2,X7)
| part_of(X7,X2)
| part_of(X1,X2)
| part_of(X2,X1)
| part_of(X1,X7)
| part_of(X7,X1) ) ),
c_0_0 ).
fof(c_0_6_007,axiom,
! [X4,X1,X2,X3] :
( ( closed(X4)
& meet(X3,X1,X2)
& X4 = sum(X1,X2) )
=> ! [X5] :
( end_point(X5,X1)
=> meet(X5,X1,X2) ) ),
c_0_1 ).
fof(c_0_7_008,axiom,
! [X1,X2] :
( ? [X3] : meet(X3,X1,X2)
=> ? [X4] : X4 = sum(X1,X2) ),
c_0_2 ).
fof(c_0_8_009,axiom,
! [X4,X3,X5,X6] :
( ( end_point(X3,X4)
& end_point(X5,X4)
& end_point(X6,X4) )
=> ( X3 = X5
| X3 = X6
| X5 = X6 ) ),
c_0_3 ).
fof(c_0_9_010,axiom,
! [X4] :
? [X3] : inner_point(X3,X4),
c_0_4 ).
fof(c_0_10_011,plain,
! [X8,X9,X10,X11,X12] :
( ~ part_of(X9,X8)
| ~ part_of(X10,X8)
| ~ part_of(X11,X8)
| ~ end_point(X12,X9)
| ~ end_point(X12,X10)
| ~ end_point(X12,X11)
| part_of(X10,X11)
| part_of(X11,X10)
| part_of(X9,X10)
| part_of(X10,X9)
| part_of(X9,X11)
| part_of(X11,X9) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_11_012,plain,
! [X6,X7,X8,X9,X10] :
( ~ closed(X6)
| ~ meet(X9,X7,X8)
| X6 != sum(X7,X8)
| ~ end_point(X10,X7)
| meet(X10,X7,X8) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_12_013,plain,
! [X5,X6,X7] :
( ~ meet(X7,X5,X6)
| esk1_2(X5,X6) = sum(X5,X6) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_13_014,plain,
! [X7,X8,X9,X10] :
( ~ end_point(X8,X7)
| ~ end_point(X9,X7)
| ~ end_point(X10,X7)
| X8 = X9
| X8 = X10
| X9 = X10 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).
fof(c_0_14_015,plain,
! [X5] : inner_point(esk2_1(X5),X5),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_9])]) ).
cnf(c_0_15_016,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_10]) ).
cnf(c_0_16_017,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_11]) ).
cnf(c_0_17_018,plain,
( esk1_2(X1,X2) = sum(X1,X2)
| ~ meet(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18_019,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_13]) ).
cnf(c_0_19_020,plain,
inner_point(esk2_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20_021,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_15,
[final] ).
cnf(c_0_21_022,plain,
( meet(X1,X2,X3)
| ~ end_point(X1,X2)
| X4 != sum(X2,X3)
| ~ meet(X5,X2,X3)
| ~ closed(X4) ),
c_0_16,
[final] ).
cnf(c_0_22_023,plain,
( sum(X1,X2) = esk1_2(X1,X2)
| ~ meet(X3,X1,X2) ),
c_0_17,
[final] ).
cnf(c_0_23_024,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| ~ end_point(X2,X4)
| ~ end_point(X1,X4)
| ~ end_point(X3,X4) ),
c_0_18,
[final] ).
cnf(c_0_24_025,plain,
inner_point(esk2_1(X1),X1),
c_0_19,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_20_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_20]) ).
cnf(c_0_21_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_21]) ).
cnf(c_0_21_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_21]) ).
cnf(c_0_21_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_21]) ).
cnf(c_0_21_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_21]) ).
cnf(c_0_21_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_21]) ).
cnf(c_0_22_0,axiom,
( sum(X1,X2) = sk2_esk1_2(X1,X2)
| ~ meet(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_22]) ).
cnf(c_0_22_1,axiom,
( ~ meet(X3,X1,X2)
| sum(X1,X2) = sk2_esk1_2(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_22]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_23_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_23]) ).
cnf(c_0_24_0,axiom,
inner_point(sk2_esk2_1(X1),X1),
inference(literals_permutation,[status(thm)],[c_0_24]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_026,conjecture,
! [X1,X2] :
( ( part_of(X1,X2)
& part_of(X2,X1) )
=> X1 = X2 ),
file('<stdin>',part_of_antisymmetry) ).
fof(c_0_1_027,negated_conjecture,
~ ! [X1,X2] :
( ( part_of(X1,X2)
& part_of(X2,X1) )
=> X1 = X2 ),
inference(assume_negation,[status(cth)],[c_0_0]) ).
fof(c_0_2_028,negated_conjecture,
( part_of(esk1_0,esk2_0)
& part_of(esk2_0,esk1_0)
& esk1_0 != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_029,negated_conjecture,
part_of(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_030,negated_conjecture,
part_of(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5_031,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_6_032,negated_conjecture,
part_of(esk1_0,esk2_0),
c_0_3,
[final] ).
cnf(c_0_7_033,negated_conjecture,
part_of(esk2_0,esk1_0),
c_0_4,
[final] ).
cnf(c_0_8_034,negated_conjecture,
esk1_0 != esk2_0,
c_0_5,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_35,plain,
( ~ incident_c(X0,X1)
| incident_c(X0,X2)
| ~ part_of(X1,X2) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5e0153.p',c_0_120_0) ).
cnf(c_155,plain,
( ~ incident_c(X0,X1)
| incident_c(X0,X2)
| ~ part_of(X1,X2) ),
inference(copy,[status(esa)],[c_35]) ).
cnf(c_82105,plain,
( ~ part_of(sk3_esk1_0,X0)
| ~ incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),sk3_esk1_0)
| incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),X0) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_82340,plain,
( ~ part_of(sk3_esk1_0,sk3_esk2_0)
| ~ incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),sk3_esk1_0)
| incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_82105]) ).
cnf(c_82176,plain,
( ~ part_of(sk3_esk2_0,X0)
| ~ incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),sk3_esk2_0)
| incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),X0) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_82177,plain,
( ~ part_of(sk3_esk2_0,sk3_esk1_0)
| incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),sk3_esk1_0)
| ~ incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),sk3_esk2_0) ),
inference(instantiation,[status(thm)],[c_82176]) ).
cnf(c_57,plain,
( ~ incident_c(sk1_esk11_2(X0,X1),X1)
| ~ incident_c(sk1_esk11_2(X0,X1),X0)
| X1 = X0 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5e0153.p',c_0_98_0) ).
cnf(c_177,plain,
( ~ incident_c(sk1_esk11_2(X0,X1),X1)
| ~ incident_c(sk1_esk11_2(X0,X1),X0)
| X1 = X0 ),
inference(copy,[status(esa)],[c_57]) ).
cnf(c_82077,plain,
( ~ incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),sk3_esk1_0)
| ~ incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),sk3_esk2_0)
| sk3_esk1_0 = sk3_esk2_0 ),
inference(instantiation,[status(thm)],[c_177]) ).
cnf(c_49,plain,
( incident_c(sk1_esk11_2(X0,X1),X1)
| incident_c(sk1_esk11_2(X0,X1),X0)
| X1 = X0 ),
file('/export/starexec/sandbox/tmp/iprover_modulo_5e0153.p',c_0_106_0) ).
cnf(c_169,plain,
( incident_c(sk1_esk11_2(X0,X1),X1)
| incident_c(sk1_esk11_2(X0,X1),X0)
| X1 = X0 ),
inference(copy,[status(esa)],[c_49]) ).
cnf(c_82076,plain,
( incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),sk3_esk1_0)
| incident_c(sk1_esk11_2(sk3_esk2_0,sk3_esk1_0),sk3_esk2_0)
| sk3_esk1_0 = sk3_esk2_0 ),
inference(instantiation,[status(thm)],[c_169]) ).
cnf(c_64,negated_conjecture,
sk3_esk1_0 != sk3_esk2_0,
file('/export/starexec/sandbox/tmp/iprover_modulo_5e0153.p',c_0_8) ).
cnf(c_65,negated_conjecture,
part_of(sk3_esk1_0,sk3_esk2_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_5e0153.p',c_0_6) ).
cnf(c_66,negated_conjecture,
part_of(sk3_esk2_0,sk3_esk1_0),
file('/export/starexec/sandbox/tmp/iprover_modulo_5e0153.p',c_0_7) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_82340,c_82177,c_82077,c_82076,c_64,c_65,c_66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.12/0.34 % Computer : n004.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 : Fri Jun 17 21:24:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Running in mono-core mode
% 0.21/0.41 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.41 % FOF problem with conjecture
% 0.21/0.41 % 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_9986cb.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_5e0153.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_df0368 | grep -v "SZS"
% 0.21/0.43
% 0.21/0.43 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.43
% 0.21/0.43 %
% 0.21/0.43 % ------ iProver source info
% 0.21/0.43
% 0.21/0.43 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.43 % git: non_committed_changes: true
% 0.21/0.43 % git: last_make_outside_of_git: true
% 0.21/0.43
% 0.21/0.43 %
% 0.21/0.43 % ------ Input Options
% 0.21/0.43
% 0.21/0.43 % --out_options all
% 0.21/0.43 % --tptp_safe_out true
% 0.21/0.43 % --problem_path ""
% 0.21/0.43 % --include_path ""
% 0.21/0.43 % --clausifier .//eprover
% 0.21/0.43 % --clausifier_options --tstp-format
% 0.21/0.43 % --stdin false
% 0.21/0.43 % --dbg_backtrace false
% 0.21/0.43 % --dbg_dump_prop_clauses false
% 0.21/0.43 % --dbg_dump_prop_clauses_file -
% 0.21/0.43 % --dbg_out_stat false
% 0.21/0.43
% 0.21/0.43 % ------ General Options
% 0.21/0.43
% 0.21/0.43 % --fof false
% 0.21/0.43 % --time_out_real 150.
% 0.21/0.43 % --time_out_prep_mult 0.2
% 0.21/0.43 % --time_out_virtual -1.
% 0.21/0.43 % --schedule none
% 0.21/0.43 % --ground_splitting input
% 0.21/0.43 % --splitting_nvd 16
% 0.21/0.43 % --non_eq_to_eq false
% 0.21/0.43 % --prep_gs_sim true
% 0.21/0.43 % --prep_unflatten false
% 0.21/0.43 % --prep_res_sim true
% 0.21/0.43 % --prep_upred true
% 0.21/0.43 % --res_sim_input true
% 0.21/0.43 % --clause_weak_htbl true
% 0.21/0.43 % --gc_record_bc_elim false
% 0.21/0.43 % --symbol_type_check false
% 0.21/0.43 % --clausify_out false
% 0.21/0.43 % --large_theory_mode false
% 0.21/0.43 % --prep_sem_filter none
% 0.21/0.43 % --prep_sem_filter_out false
% 0.21/0.43 % --preprocessed_out false
% 0.21/0.43 % --sub_typing false
% 0.21/0.43 % --brand_transform false
% 0.21/0.43 % --pure_diseq_elim true
% 0.21/0.43 % --min_unsat_core false
% 0.21/0.43 % --pred_elim true
% 0.21/0.43 % --add_important_lit false
% 0.21/0.43 % --soft_assumptions false
% 0.21/0.43 % --reset_solvers false
% 0.21/0.43 % --bc_imp_inh []
% 0.21/0.43 % --conj_cone_tolerance 1.5
% 0.21/0.43 % --prolific_symb_bound 500
% 0.21/0.43 % --lt_threshold 2000
% 0.21/0.43
% 0.21/0.43 % ------ SAT Options
% 0.21/0.43
% 0.21/0.43 % --sat_mode false
% 0.21/0.43 % --sat_fm_restart_options ""
% 0.21/0.43 % --sat_gr_def false
% 0.21/0.43 % --sat_epr_types true
% 0.21/0.43 % --sat_non_cyclic_types false
% 0.21/0.43 % --sat_finite_models false
% 0.21/0.43 % --sat_fm_lemmas false
% 0.21/0.43 % --sat_fm_prep false
% 0.21/0.43 % --sat_fm_uc_incr true
% 0.21/0.43 % --sat_out_model small
% 0.21/0.43 % --sat_out_clauses false
% 0.21/0.43
% 0.21/0.43 % ------ QBF Options
% 0.21/0.43
% 0.21/0.43 % --qbf_mode false
% 0.21/0.43 % --qbf_elim_univ true
% 0.21/0.43 % --qbf_sk_in true
% 0.21/0.43 % --qbf_pred_elim true
% 0.21/0.43 % --qbf_split 32
% 0.21/0.43
% 0.21/0.43 % ------ BMC1 Options
% 0.21/0.43
% 0.21/0.43 % --bmc1_incremental false
% 0.21/0.43 % --bmc1_axioms reachable_all
% 0.21/0.43 % --bmc1_min_bound 0
% 0.21/0.43 % --bmc1_max_bound -1
% 0.21/0.43 % --bmc1_max_bound_default -1
% 0.21/0.43 % --bmc1_symbol_reachability true
% 0.21/0.43 % --bmc1_property_lemmas false
% 0.21/0.43 % --bmc1_k_induction false
% 0.21/0.43 % --bmc1_non_equiv_states false
% 0.21/0.43 % --bmc1_deadlock false
% 0.21/0.43 % --bmc1_ucm false
% 0.21/0.43 % --bmc1_add_unsat_core none
% 0.21/0.43 % --bmc1_unsat_core_children false
% 0.21/0.43 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.43 % --bmc1_out_stat full
% 0.21/0.43 % --bmc1_ground_init false
% 0.21/0.43 % --bmc1_pre_inst_next_state false
% 0.21/0.43 % --bmc1_pre_inst_state false
% 0.21/0.43 % --bmc1_pre_inst_reach_state false
% 0.21/0.43 % --bmc1_out_unsat_core false
% 0.21/0.43 % --bmc1_aig_witness_out false
% 0.21/0.43 % --bmc1_verbose false
% 0.21/0.43 % --bmc1_dump_clauses_tptp false
% 0.21/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.45 % --bmc1_dump_file -
% 0.21/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.45 % --bmc1_ucm_extend_mode 1
% 0.21/0.45 % --bmc1_ucm_init_mode 2
% 0.21/0.45 % --bmc1_ucm_cone_mode none
% 0.21/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.45 % --bmc1_ucm_relax_model 4
% 0.21/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.45 % --bmc1_ucm_layered_model none
% 0.21/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.45
% 0.21/0.45 % ------ AIG Options
% 0.21/0.45
% 0.21/0.45 % --aig_mode false
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation Options
% 0.21/0.45
% 0.21/0.45 % --instantiation_flag true
% 0.21/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45 % --inst_solver_per_active 750
% 0.21/0.45 % --inst_solver_calls_frac 0.5
% 0.21/0.45 % --inst_passive_queue_type priority_queues
% 0.21/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45 % --inst_passive_queues_freq [25;2]
% 0.21/0.45 % --inst_dismatching true
% 0.21/0.45 % --inst_eager_unprocessed_to_passive true
% 0.21/0.45 % --inst_prop_sim_given true
% 0.21/0.45 % --inst_prop_sim_new false
% 0.21/0.45 % --inst_orphan_elimination true
% 0.21/0.45 % --inst_learning_loop_flag true
% 0.21/0.45 % --inst_learning_start 3000
% 0.21/0.45 % --inst_learning_factor 2
% 0.21/0.45 % --inst_start_prop_sim_after_learn 3
% 0.21/0.45 % --inst_sel_renew solver
% 0.21/0.45 % --inst_lit_activity_flag true
% 0.21/0.45 % --inst_out_proof true
% 0.21/0.45
% 0.21/0.45 % ------ Resolution Options
% 0.21/0.45
% 0.21/0.45 % --resolution_flag true
% 0.21/0.45 % --res_lit_sel kbo_max
% 0.21/0.45 % --res_to_prop_solver none
% 0.21/0.45 % --res_prop_simpl_new false
% 0.21/0.45 % --res_prop_simpl_given false
% 0.21/0.45 % --res_passive_queue_type priority_queues
% 0.21/0.45 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.45 % --res_passive_queues_freq [15;5]
% 0.21/0.45 % --res_forward_subs full
% 0.21/0.45 % --res_backward_subs full
% 0.21/0.45 % --res_forward_subs_resolution true
% 0.21/0.45 % --res_backward_subs_resolution true
% 0.21/0.45 % --res_orphan_elimination false
% 0.21/0.45 % --res_time_limit 1000.
% 0.21/0.45 % --res_out_proof true
% 0.21/0.45 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_9986cb.s
% 0.21/0.45 % --modulo true
% 0.21/0.45
% 0.21/0.45 % ------ Combination Options
% 0.21/0.45
% 0.21/0.45 % --comb_res_mult 1000
% 0.21/0.45 % --comb_inst_mult 300
% 0.21/0.45 % ------
% 0.21/0.45
% 0.21/0.45 % ------ Parsing...% successful
% 0.21/0.45
% 0.21/0.45 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 0.21/0.45
% 0.21/0.45 % ------ Proving...
% 0.21/0.45 % ------ Problem Properties
% 0.21/0.45
% 0.21/0.45 %
% 0.21/0.45 % EPR false
% 0.21/0.45 % Horn false
% 0.21/0.45 % Has equality true
% 0.21/0.45
% 0.21/0.45 % % ------ Input Options Time Limit: Unbounded
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 % % ------ Current options:
% 0.21/0.45
% 0.21/0.45 % ------ Input Options
% 0.21/0.45
% 0.21/0.45 % --out_options all
% 0.21/0.45 % --tptp_safe_out true
% 0.21/0.45 % --problem_path ""
% 0.21/0.45 % --include_path ""
% 0.21/0.45 % --clausifier .//eprover
% 0.21/0.45 % --clausifier_options --tstp-format
% 0.21/0.45 % --stdin false
% 0.21/0.45 % --dbg_backtrace false
% 0.21/0.45 % --dbg_dump_prop_clauses false
% 0.21/0.45 % --dbg_dump_prop_clauses_file -
% 0.21/0.45 % --dbg_out_stat false
% 0.21/0.45
% 0.21/0.45 % ------ General Options
% 0.21/0.45
% 0.21/0.45 % --fof false
% 0.21/0.45 % --time_out_real 150.
% 0.21/0.45 % --time_out_prep_mult 0.2
% 0.21/0.45 % --time_out_virtual -1.
% 0.21/0.45 % --schedule none
% 0.21/0.45 % --ground_splitting input
% 0.21/0.45 % --splitting_nvd 16
% 0.21/0.45 % --non_eq_to_eq false
% 0.21/0.45 % --prep_gs_sim true
% 0.21/0.45 % --prep_unflatten false
% 0.21/0.45 % --prep_res_sim true
% 0.21/0.45 % --prep_upred true
% 0.21/0.45 % --res_sim_input true
% 0.21/0.45 % --clause_weak_htbl true
% 0.21/0.45 % --gc_record_bc_elim false
% 0.21/0.45 % --symbol_type_check false
% 0.21/0.45 % --clausify_out false
% 0.21/0.45 % --large_theory_mode false
% 0.21/0.45 % --prep_sem_filter none
% 0.21/0.45 % --prep_sem_filter_out false
% 0.21/0.45 % --preprocessed_out false
% 0.21/0.45 % --sub_typing false
% 0.21/0.45 % --brand_transform false
% 0.21/0.45 % --pure_diseq_elim true
% 0.21/0.45 % --min_unsat_core false
% 0.21/0.45 % --pred_elim true
% 0.21/0.45 % --add_important_lit false
% 0.21/0.45 % --soft_assumptions false
% 0.21/0.45 % --reset_solvers false
% 0.21/0.45 % --bc_imp_inh []
% 0.21/0.45 % --conj_cone_tolerance 1.5
% 0.21/0.45 % --prolific_symb_bound 500
% 0.21/0.45 % --lt_threshold 2000
% 0.21/0.45
% 0.21/0.45 % ------ SAT Options
% 0.21/0.45
% 0.21/0.45 % --sat_mode false
% 0.21/0.45 % --sat_fm_restart_options ""
% 0.21/0.45 % --sat_gr_def false
% 0.21/0.45 % --sat_epr_types true
% 0.21/0.45 % --sat_non_cyclic_types false
% 0.21/0.45 % --sat_finite_models false
% 0.21/0.45 % --sat_fm_lemmas false
% 0.21/0.45 % --sat_fm_prep false
% 0.21/0.45 % --sat_fm_uc_incr true
% 0.21/0.45 % --sat_out_model small
% 0.21/0.45 % --sat_out_clauses false
% 0.21/0.45
% 0.21/0.45 % ------ QBF Options
% 0.21/0.45
% 0.21/0.45 % --qbf_mode false
% 0.21/0.45 % --qbf_elim_univ true
% 0.21/0.45 % --qbf_sk_in true
% 0.21/0.45 % --qbf_pred_elim true
% 0.21/0.45 % --qbf_split 32
% 0.21/0.45
% 0.21/0.45 % ------ BMC1 Options
% 0.21/0.45
% 0.21/0.45 % --bmc1_incremental false
% 0.21/0.45 % --bmc1_axioms reachable_all
% 0.21/0.45 % --bmc1_min_bound 0
% 0.21/0.45 % --bmc1_max_bound -1
% 0.21/0.45 % --bmc1_max_bound_default -1
% 0.21/0.45 % --bmc1_symbol_reachability true
% 0.21/0.45 % --bmc1_property_lemmas false
% 0.21/0.45 % --bmc1_k_induction false
% 0.21/0.45 % --bmc1_non_equiv_states false
% 0.21/0.45 % --bmc1_deadlock false
% 0.21/0.45 % --bmc1_ucm false
% 0.21/0.45 % --bmc1_add_unsat_core none
% 0.21/0.45 % --bmc1_unsat_core_children false
% 0.21/0.45 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.45 % --bmc1_out_stat full
% 0.21/0.45 % --bmc1_ground_init false
% 0.21/0.45 % --bmc1_pre_inst_next_state false
% 0.21/0.45 % --bmc1_pre_inst_state false
% 0.21/0.45 % --bmc1_pre_inst_reach_state false
% 0.21/0.45 % --bmc1_out_unsat_core false
% 0.21/0.45 % --bmc1_aig_witness_out false
% 0.21/0.45 % --bmc1_verbose false
% 0.21/0.45 % --bmc1_dump_clauses_tptp false
% 0.21/0.45 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.45 % --bmc1_dump_file -
% 0.21/0.45 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.45 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.45 % --bmc1_ucm_extend_mode 1
% 0.21/0.45 % --bmc1_ucm_init_mode 2
% 0.21/0.45 % --bmc1_ucm_cone_mode none
% 0.21/0.45 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.45 % --bmc1_ucm_relax_model 4
% 0.21/0.45 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.45 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.45 % --bmc1_ucm_layered_model none
% 0.21/0.45 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.45
% 0.21/0.45 % ------ AIG Options
% 0.21/0.45
% 0.21/0.45 % --aig_mode false
% 0.21/0.45
% 0.21/0.45 % ------ Instantiation Options
% 0.21/0.45
% 0.21/0.45 % --instantiation_flag true
% 0.21/0.45 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45 % --inst_solver_per_active 750
% 0.21/0.45 % --inst_solver_calls_frac 0.5
% 0.21/0.45 % --inst_passive_queue_type priority_queues
% 0.21/0.45 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45 % --inst_passive_queues_freq [25;2]
% 0.21/0.45 % --inst_dismatching true
% 0.21/0.45 % --inst_eager_unprocessed_to_passive true
% 0.21/0.45 % --inst_prop_sim_given true
% 4.77/4.96 % --inst_prop_sim_new false
% 4.77/4.96 % --inst_orphan_elimination true
% 4.77/4.96 % --inst_learning_loop_flag true
% 4.77/4.96 % --inst_learning_start 3000
% 4.77/4.96 % --inst_learning_factor 2
% 4.77/4.96 % --inst_start_prop_sim_after_learn 3
% 4.77/4.96 % --inst_sel_renew solver
% 4.77/4.96 % --inst_lit_activity_flag true
% 4.77/4.96 % --inst_out_proof true
% 4.77/4.96
% 4.77/4.96 % ------ Resolution Options
% 4.77/4.96
% 4.77/4.96 % --resolution_flag true
% 4.77/4.96 % --res_lit_sel kbo_max
% 4.77/4.96 % --res_to_prop_solver none
% 4.77/4.96 % --res_prop_simpl_new false
% 4.77/4.96 % --res_prop_simpl_given false
% 4.77/4.96 % --res_passive_queue_type priority_queues
% 4.77/4.96 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.77/4.96 % --res_passive_queues_freq [15;5]
% 4.77/4.96 % --res_forward_subs full
% 4.77/4.96 % --res_backward_subs full
% 4.77/4.96 % --res_forward_subs_resolution true
% 4.77/4.96 % --res_backward_subs_resolution true
% 4.77/4.96 % --res_orphan_elimination false
% 4.77/4.96 % --res_time_limit 1000.
% 4.77/4.96 % --res_out_proof true
% 4.77/4.96 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_9986cb.s
% 4.77/4.96 % --modulo true
% 4.77/4.96
% 4.77/4.96 % ------ Combination Options
% 4.77/4.96
% 4.77/4.96 % --comb_res_mult 1000
% 4.77/4.96 % --comb_inst_mult 300
% 4.77/4.96 % ------
% 4.77/4.96
% 4.77/4.96
% 4.77/4.96
% 4.77/4.96 % ------ Proving...
% 4.77/4.96 %
% 4.77/4.96
% 4.77/4.96
% 4.77/4.96 % ------ Statistics
% 4.77/4.96
% 4.77/4.96 % ------ General
% 4.77/4.96
% 4.77/4.96 % num_of_input_clauses: 67
% 4.77/4.96 % num_of_input_neg_conjectures: 3
% 4.77/4.96 % num_of_splits: 0
% 4.77/4.96 % num_of_split_atoms: 0
% 4.77/4.96 % num_of_sem_filtered_clauses: 0
% 4.77/4.96 % num_of_subtypes: 0
% 4.77/4.96 % monotx_restored_types: 0
% 4.77/4.96 % sat_num_of_epr_types: 0
% 4.77/4.96 % sat_num_of_non_cyclic_types: 0
% 4.77/4.96 % sat_guarded_non_collapsed_types: 0
% 4.77/4.96 % is_epr: 0
% 4.77/4.96 % is_horn: 0
% 4.77/4.96 % has_eq: 1
% 4.77/4.96 % num_pure_diseq_elim: 0
% 4.77/4.96 % simp_replaced_by: 0
% 4.77/4.96 % res_preprocessed: 6
% 4.77/4.96 % prep_upred: 0
% 4.77/4.96 % prep_unflattend: 0
% 4.77/4.96 % pred_elim_cands: 0
% 4.77/4.96 % pred_elim: 0
% 4.77/4.96 % pred_elim_cl: 0
% 4.77/4.96 % pred_elim_cycles: 0
% 4.77/4.96 % forced_gc_time: 0
% 4.77/4.96 % gc_basic_clause_elim: 0
% 4.77/4.96 % parsing_time: 0.004
% 4.77/4.96 % sem_filter_time: 0.
% 4.77/4.96 % pred_elim_time: 0.
% 4.77/4.96 % out_proof_time: 0.
% 4.77/4.96 % monotx_time: 0.
% 4.77/4.96 % subtype_inf_time: 0.
% 4.77/4.96 % unif_index_cands_time: 0.003
% 4.77/4.96 % unif_index_add_time: 0.002
% 4.77/4.96 % total_time: 4.538
% 4.77/4.96 % num_of_symbols: 48
% 4.77/4.96 % num_of_terms: 3500
% 4.77/4.96
% 4.77/4.96 % ------ Propositional Solver
% 4.77/4.96
% 4.77/4.96 % prop_solver_calls: 6
% 4.77/4.96 % prop_fast_solver_calls: 9
% 4.77/4.96 % prop_num_of_clauses: 383
% 4.77/4.96 % prop_preprocess_simplified: 832
% 4.77/4.96 % prop_fo_subsumed: 0
% 4.77/4.96 % prop_solver_time: 0.
% 4.77/4.96 % prop_fast_solver_time: 0.
% 4.77/4.96 % prop_unsat_core_time: 0.
% 4.77/4.96
% 4.77/4.96 % ------ QBF
% 4.77/4.96
% 4.77/4.96 % qbf_q_res: 0
% 4.77/4.96 % qbf_num_tautologies: 0
% 4.77/4.96 % qbf_prep_cycles: 0
% 4.77/4.96
% 4.77/4.96 % ------ BMC1
% 4.77/4.96
% 4.77/4.96 % bmc1_current_bound: -1
% 4.77/4.96 % bmc1_last_solved_bound: -1
% 4.77/4.96 % bmc1_unsat_core_size: -1
% 4.77/4.96 % bmc1_unsat_core_parents_size: -1
% 4.77/4.96 % bmc1_merge_next_fun: 0
% 4.77/4.96 % bmc1_unsat_core_clauses_time: 0.
% 4.77/4.96
% 4.77/4.96 % ------ Instantiation
% 4.77/4.96
% 4.77/4.96 % inst_num_of_clauses: 279
% 4.77/4.96 % inst_num_in_passive: 45
% 4.77/4.96 % inst_num_in_active: 139
% 4.77/4.96 % inst_num_in_unprocessed: 95
% 4.77/4.96 % inst_num_of_loops: 168
% 4.77/4.96 % inst_num_of_learning_restarts: 0
% 4.77/4.96 % inst_num_moves_active_passive: 26
% 4.77/4.96 % inst_lit_activity: 144
% 4.77/4.96 % inst_lit_activity_moves: 0
% 4.77/4.96 % inst_num_tautologies: 0
% 4.77/4.96 % inst_num_prop_implied: 0
% 4.77/4.96 % inst_num_existing_simplified: 0
% 4.77/4.96 % inst_num_eq_res_simplified: 0
% 4.77/4.96 % inst_num_child_elim: 0
% 4.77/4.96 % inst_num_of_dismatching_blockings: 0
% 4.77/4.96 % inst_num_of_non_proper_insts: 194
% 4.77/4.96 % inst_num_of_duplicates: 107
% 4.77/4.96 % inst_inst_num_from_inst_to_res: 0
% 4.77/4.96 % inst_dismatching_checking_time: 0.
% 4.77/4.96
% 4.77/4.96 % ------ Resolution
% 4.77/4.96
% 4.77/4.96 % res_num_of_clauses: 15990
% 4.77/4.96 % res_num_in_passive: 15334
% 4.77/4.96 % res_num_in_active: 617
% 4.77/4.96 % res_num_of_loops: 1000
% 4.77/4.96 % res_forward_subset_subsumed: 3414
% 4.77/4.96 % res_backward_subset_subsumed: 4
% 4.77/4.96 % res_forward_subsumed: 394
% 4.77/4.96 % res_backward_subsumed: 44
% 4.77/4.96 % res_forward_subsumption_resolution: 375
% 4.77/4.96 % res_backward_subsumption_resolution: 0
% 4.77/4.96 % res_clause_to_clause_subsumption: 88909
% 4.77/4.96 % res_orphan_elimination: 0
% 4.77/4.96 % res_tautology_del: 11900
% 4.77/4.96 % res_num_eq_res_simplified: 0
% 4.77/4.96 % res_num_sel_changes: 0
% 4.77/4.96 % res_moves_from_active_to_pass: 0
% 4.77/4.96
% 4.77/4.96 % Status Unsatisfiable
% 4.77/4.96 % SZS status Theorem
% 4.77/4.96 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------