TSTP Solution File: GEO642+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO642+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 : 300s
% DateTime : Wed May 31 12:09:24 EDT 2023
% Result : Theorem 0.15s 0.52s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 29
% Syntax : Number of formulae : 191 ( 21 unt; 0 def)
% Number of atoms : 498 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 515 ( 208 ~; 202 |; 75 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 657 (; 623 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A,B,C,D,E,F] :
( ( para(A,B,C,D)
& para(C,D,E,F) )
=> para(A,B,E,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C,D,E,F] :
( ( perp(A,B,C,D)
& perp(C,D,E,F) )
=> para(A,B,E,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B,C,D,E,F] :
( ( para(A,B,C,D)
& perp(C,D,E,F) )
=> perp(A,B,E,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [A,B,C,D,E,F] :
( ( cong(A,B,C,D)
& cong(C,D,E,F) )
=> cong(A,B,E,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& midp(F,A,C) )
=> para(E,F,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [A,B,M,O] :
( ( midp(M,A,B)
& perp(O,M,A,B) )
=> cong(O,A,O,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& midp(M,C,D) )
=> para(A,C,B,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :
( ( midp(O,B,A)
& circle(O,A,NWPNT1,NWPNT2)
& circle(O,A,C,NWPNT3)
& circle(O,A,P,NWPNT4)
& circle(C,B,NWPNT5,NWPNT6)
& circle(O,A,D,NWPNT7)
& circle(C,B,D,NWPNT8)
& coll(G,B,P)
& coll(G,A,D)
& coll(E,A,C)
& coll(E,B,P)
& coll(F,A,D)
& coll(F,C,P) )
=> perp(E,F,A,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :
( ( midp(O,B,A)
& circle(O,A,NWPNT1,NWPNT2)
& circle(O,A,C,NWPNT3)
& circle(O,A,P,NWPNT4)
& circle(C,B,NWPNT5,NWPNT6)
& circle(O,A,D,NWPNT7)
& circle(C,B,D,NWPNT8)
& coll(G,B,P)
& coll(G,A,D)
& coll(E,A,C)
& coll(E,B,P)
& coll(F,A,D)
& coll(F,C,P) )
=> perp(E,F,A,D) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f97,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f99,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f101,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
! [A,C,D] :
( ! [B] :
( ~ coll(A,B,C)
| ~ coll(A,B,D) )
| coll(C,D,A) ),
inference(miniscoping,[status(esa)],[f101]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f104,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f106,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f108,plain,
! [A,B,C,D,E,F] :
( ~ para(A,B,C,D)
| ~ para(C,D,E,F)
| para(A,B,E,F) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f109,plain,
! [A,B,E,F] :
( ! [C,D] :
( ~ para(A,B,C,D)
| ~ para(C,D,E,F) )
| para(A,B,E,F) ),
inference(miniscoping,[status(esa)],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f111,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f113,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f115,plain,
! [A,B,C,D,E,F] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f116,plain,
! [A,B,E,F] :
( ! [C,D] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F) )
| para(A,B,E,F) ),
inference(miniscoping,[status(esa)],[f115]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f118,plain,
! [A,B,C,D,E,F] :
( ~ para(A,B,C,D)
| ~ perp(C,D,E,F)
| perp(A,B,E,F) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f119,plain,
! [A,B,E,F] :
( ! [C,D] :
( ~ para(A,B,C,D)
| ~ perp(C,D,E,F) )
| perp(A,B,E,F) ),
inference(miniscoping,[status(esa)],[f118]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f119]) ).
fof(f121,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f139,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(C,D,A,B,U,V,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f148,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f150,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f152,plain,
! [A,B,C,D,E,F] :
( ~ cong(A,B,C,D)
| ~ cong(C,D,E,F)
| cong(A,B,E,F) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f153,plain,
! [A,B,E,F] :
( ! [C,D] :
( ~ cong(A,B,C,D)
| ~ cong(C,D,E,F) )
| cong(A,B,E,F) ),
inference(miniscoping,[status(esa)],[f152]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f153]) ).
fof(f184,plain,
! [A,B,C,D,P,Q] :
( ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f39]) ).
fof(f185,plain,
! [A,B,C,D] :
( ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(miniscoping,[status(esa)],[f184]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f185]) ).
fof(f187,plain,
! [A,B,C,D,P,Q] :
( ~ para(A,B,C,D)
| eqangle(A,B,P,Q,C,D,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f40]) ).
fof(f188,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(miniscoping,[status(esa)],[f187]) ).
fof(f189,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f199,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f200,plain,
! [B,C,E,F] :
( ! [A] :
( ~ midp(E,A,B)
| ~ midp(F,A,C) )
| para(E,F,B,C) ),
inference(miniscoping,[status(esa)],[f199]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f228,plain,
! [A,B,M,O] :
( ~ midp(M,A,B)
| ~ perp(O,M,A,B)
| cong(O,A,O,B) ),
inference(pre_NNF_transformation,[status(esa)],[f56]) ).
fof(f229,plain,
! [A,B,O] :
( ! [M] :
( ~ midp(M,A,B)
| ~ perp(O,M,A,B) )
| cong(O,A,O,B) ),
inference(miniscoping,[status(esa)],[f228]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( ~ midp(X0,X1,X2)
| ~ perp(X3,X0,X1,X2)
| cong(X3,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f229]) ).
fof(f231,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f57]) ).
fof(f232,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f231]) ).
fof(f247,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ midp(M,C,D)
| para(A,C,B,D) ),
inference(pre_NNF_transformation,[status(esa)],[f64]) ).
fof(f248,plain,
! [A,B,C,D] :
( ! [M] :
( ~ midp(M,A,B)
| ~ midp(M,C,D) )
| para(A,C,B,D) ),
inference(miniscoping,[status(esa)],[f247]) ).
fof(f249,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f250,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f65]) ).
fof(f251,plain,
! [C,D,M] :
( ! [A,B] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C) )
| midp(M,C,D) ),
inference(miniscoping,[status(esa)],[f250]) ).
fof(f252,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X1,X3,X2,X4)
| ~ para(X1,X4,X2,X3)
| midp(X0,X3,X4) ),
inference(cnf_transformation,[status(esa)],[f251]) ).
fof(f255,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f67]) ).
fof(f256,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f257,plain,
! [A,B,C] :
( ~ cong(A,B,A,C)
| ~ coll(A,B,C)
| midp(A,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f68]) ).
fof(f258,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f259,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f69]) ).
fof(f260,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f259]) ).
fof(f261,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| coll(A,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f70]) ).
fof(f262,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f261]) ).
fof(f369,plain,
? [A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :
( midp(O,B,A)
& circle(O,A,NWPNT1,NWPNT2)
& circle(O,A,C,NWPNT3)
& circle(O,A,P,NWPNT4)
& circle(C,B,NWPNT5,NWPNT6)
& circle(O,A,D,NWPNT7)
& circle(C,B,D,NWPNT8)
& coll(G,B,P)
& coll(G,A,D)
& coll(E,A,C)
& coll(E,B,P)
& coll(F,A,D)
& coll(F,C,P)
& ~ perp(E,F,A,D) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [A,D,E,F] :
( ? [C,P] :
( ? [B] :
( ? [G] :
( ? [O] :
( midp(O,B,A)
& ? [NWPNT1,NWPNT2] : circle(O,A,NWPNT1,NWPNT2)
& ? [NWPNT3] : circle(O,A,C,NWPNT3)
& ? [NWPNT4] : circle(O,A,P,NWPNT4)
& ? [NWPNT5,NWPNT6] : circle(C,B,NWPNT5,NWPNT6)
& ? [NWPNT7] : circle(O,A,D,NWPNT7) )
& ? [NWPNT8] : circle(C,B,D,NWPNT8)
& coll(G,B,P)
& coll(G,A,D) )
& coll(E,A,C)
& coll(E,B,P) )
& coll(F,A,D)
& coll(F,C,P) )
& ~ perp(E,F,A,D) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( midp(sk0_28,sk0_26,sk0_20)
& circle(sk0_28,sk0_20,sk0_29,sk0_30)
& circle(sk0_28,sk0_20,sk0_24,sk0_31)
& circle(sk0_28,sk0_20,sk0_25,sk0_32)
& circle(sk0_24,sk0_26,sk0_33,sk0_34)
& circle(sk0_28,sk0_20,sk0_21,sk0_35)
& circle(sk0_24,sk0_26,sk0_21,sk0_36)
& coll(sk0_27,sk0_26,sk0_25)
& coll(sk0_27,sk0_20,sk0_21)
& coll(sk0_22,sk0_20,sk0_24)
& coll(sk0_22,sk0_26,sk0_25)
& coll(sk0_23,sk0_20,sk0_21)
& coll(sk0_23,sk0_24,sk0_25)
& ~ perp(sk0_22,sk0_23,sk0_20,sk0_21) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f372,plain,
midp(sk0_28,sk0_26,sk0_20),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f385,plain,
~ perp(sk0_22,sk0_23,sk0_20,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f386,plain,
coll(sk0_28,sk0_26,sk0_20),
inference(resolution,[status(thm)],[f262,f372]) ).
fof(f388,plain,
~ perp(sk0_22,sk0_23,sk0_21,sk0_20),
inference(resolution,[status(thm)],[f385,f112]) ).
fof(f392,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X1,X0) ),
inference(resolution,[status(thm)],[f114,f112]) ).
fof(f395,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| midp(X0,X1,X2)
| ~ cong(X0,X1,X2,X0) ),
inference(resolution,[status(thm)],[f258,f149]) ).
fof(f411,plain,
( spl0_1
<=> coll(sk0_26,sk0_28,sk0_28) ),
introduced(split_symbol_definition) ).
fof(f413,plain,
( ~ coll(sk0_26,sk0_28,sk0_28)
| spl0_1 ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( spl0_2
<=> midp(sk0_26,sk0_28,sk0_28) ),
introduced(split_symbol_definition) ).
fof(f415,plain,
( midp(sk0_26,sk0_28,sk0_28)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f420,plain,
( ~ coll(sk0_28,sk0_26,sk0_28)
| spl0_1 ),
inference(resolution,[status(thm)],[f413,f100]) ).
fof(f424,plain,
( ~ coll(sk0_28,sk0_28,sk0_26)
| spl0_1 ),
inference(resolution,[status(thm)],[f420,f98]) ).
fof(f425,plain,
! [X0] :
( ~ coll(sk0_26,X0,sk0_28)
| ~ coll(sk0_26,X0,sk0_28)
| spl0_1 ),
inference(resolution,[status(thm)],[f424,f103]) ).
fof(f426,plain,
! [X0] :
( ~ coll(sk0_26,X0,sk0_28)
| spl0_1 ),
inference(duplicate_literals_removal,[status(esa)],[f425]) ).
fof(f431,plain,
! [X0] :
( ~ coll(sk0_26,sk0_28,X0)
| spl0_1 ),
inference(resolution,[status(thm)],[f426,f98]) ).
fof(f439,plain,
! [X0] :
( ~ coll(sk0_28,sk0_26,X0)
| spl0_1 ),
inference(resolution,[status(thm)],[f431,f100]) ).
fof(f444,plain,
( $false
| spl0_1 ),
inference(backward_subsumption_resolution,[status(thm)],[f386,f439]) ).
fof(f445,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f444]) ).
fof(f467,plain,
! [X0] :
( ~ perp(X0,sk0_26,sk0_28,sk0_28)
| cong(X0,sk0_28,X0,sk0_28)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f415,f230]) ).
fof(f625,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X3,X2) ),
inference(resolution,[status(thm)],[f232,f149]) ).
fof(f653,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X0)
| ~ cong(X2,X3,X1,X3)
| perp(X2,X1,X3,X0) ),
inference(resolution,[status(thm)],[f151,f625]) ).
fof(f654,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| ~ cong(X2,X3,X0,X3)
| perp(X2,X0,X3,X1) ),
inference(resolution,[status(thm)],[f151,f232]) ).
fof(f655,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X1,X2)
| ~ coll(X1,X2,X0)
| midp(X1,X2,X0) ),
inference(resolution,[status(thm)],[f151,f395]) ).
fof(f656,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X2,X1)
| midp(X0,X2,X1) ),
inference(resolution,[status(thm)],[f151,f258]) ).
fof(f854,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| midp(X0,X1,X2)
| ~ cong(X2,X0,X1,X0) ),
inference(resolution,[status(thm)],[f655,f149]) ).
fof(f865,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| midp(X0,X1,X2)
| ~ cong(X1,X0,X2,X0) ),
inference(resolution,[status(thm)],[f854,f151]) ).
fof(f867,plain,
! [X0,X1] :
( ~ coll(X0,X1,X1)
| midp(X0,X1,X1)
| ~ midp(X1,X0,X0) ),
inference(resolution,[status(thm)],[f854,f260]) ).
fof(f958,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| para(X2,X3,X4,X5) ),
inference(resolution,[status(thm)],[f140,f186]) ).
fof(f1103,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3)
| ~ cong(X3,X2,X3,X0) ),
inference(resolution,[status(thm)],[f653,f149]) ).
fof(f1129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3)
| ~ midp(X3,X2,X0) ),
inference(resolution,[status(thm)],[f1103,f260]) ).
fof(f1131,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3)
| ~ midp(X3,X0,X2) ),
inference(resolution,[status(thm)],[f1129,f122]) ).
fof(f1175,plain,
! [X0,X1] :
( ~ midp(X0,sk0_26,X1)
| para(X0,sk0_28,X1,sk0_20) ),
inference(resolution,[status(thm)],[f201,f372]) ).
fof(f1176,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| para(X0,X3,X2,X4)
| ~ midp(X3,X4,X1) ),
inference(resolution,[status(thm)],[f201,f122]) ).
fof(f1177,plain,
para(sk0_28,sk0_28,sk0_20,sk0_20),
inference(resolution,[status(thm)],[f1175,f372]) ).
fof(f1180,plain,
! [X0,X1] :
( ~ perp(sk0_20,sk0_20,X0,X1)
| perp(sk0_28,sk0_28,X0,X1) ),
inference(resolution,[status(thm)],[f1177,f120]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ para(X0,X1,sk0_28,sk0_28)
| para(X0,X1,sk0_20,sk0_20) ),
inference(resolution,[status(thm)],[f1177,f110]) ).
fof(f1196,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X2,X4)
| ~ midp(X2,X3,X4) ),
inference(resolution,[status(thm)],[f154,f260]) ).
fof(f1294,plain,
! [X0,X1] :
( ~ perp(sk0_20,sk0_20,X0,X1)
| perp(X1,X0,sk0_28,sk0_28) ),
inference(resolution,[status(thm)],[f1180,f392]) ).
fof(f1296,plain,
! [X0,X1] :
( ~ perp(sk0_20,sk0_20,X0,X1)
| perp(X0,X1,sk0_28,sk0_28) ),
inference(resolution,[status(thm)],[f1180,f114]) ).
fof(f1307,plain,
! [X0,X1] :
( ~ midp(X0,sk0_20,X1)
| para(X0,sk0_28,X1,sk0_26) ),
inference(resolution,[status(thm)],[f1176,f372]) ).
fof(f1309,plain,
! [X0,X1] :
( para(X0,sk0_28,X1,sk0_26)
| ~ midp(X0,X1,sk0_20) ),
inference(resolution,[status(thm)],[f1307,f122]) ).
fof(f1310,plain,
para(sk0_28,sk0_28,sk0_26,sk0_26),
inference(resolution,[status(thm)],[f1309,f372]) ).
fof(f1315,plain,
para(sk0_26,sk0_26,sk0_28,sk0_28),
inference(resolution,[status(thm)],[f1310,f107]) ).
fof(f1317,plain,
para(sk0_26,sk0_26,sk0_20,sk0_20),
inference(resolution,[status(thm)],[f1315,f1181]) ).
fof(f1326,plain,
para(sk0_20,sk0_20,sk0_26,sk0_26),
inference(resolution,[status(thm)],[f1317,f107]) ).
fof(f1329,plain,
! [X0,X1] :
( ~ perp(sk0_26,sk0_26,X0,X1)
| perp(sk0_20,sk0_20,X0,X1) ),
inference(resolution,[status(thm)],[f1326,f120]) ).
fof(f1372,plain,
! [X0,X1] :
( ~ midp(sk0_28,X0,X1)
| para(X0,sk0_26,X1,sk0_20) ),
inference(resolution,[status(thm)],[f249,f372]) ).
fof(f1375,plain,
! [X0,X1] :
( para(X0,sk0_26,X1,sk0_20)
| ~ midp(sk0_28,X1,X0) ),
inference(resolution,[status(thm)],[f1372,f122]) ).
fof(f1376,plain,
para(sk0_20,sk0_26,sk0_26,sk0_20),
inference(resolution,[status(thm)],[f1375,f372]) ).
fof(f1381,plain,
para(sk0_26,sk0_20,sk0_20,sk0_26),
inference(resolution,[status(thm)],[f1376,f107]) ).
fof(f1426,plain,
para(sk0_26,sk0_20,sk0_26,sk0_20),
inference(resolution,[status(thm)],[f1381,f105]) ).
fof(f1431,plain,
! [X0,X1] : eqangle(sk0_26,sk0_20,X0,X1,sk0_26,sk0_20,X0,X1),
inference(resolution,[status(thm)],[f1426,f189]) ).
fof(f1779,plain,
! [X0,X1] :
( perp(sk0_20,sk0_20,X0,X1)
| ~ perp(sk0_26,sk0_26,X1,X0) ),
inference(resolution,[status(thm)],[f1329,f112]) ).
fof(f1813,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f958,f1431]) ).
fof(f1836,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f1813,f256]) ).
fof(f1837,plain,
! [X0,X1] :
( midp(X0,X1,X1)
| ~ midp(X1,X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f867,f1836]) ).
fof(f2711,plain,
! [X0,X1,X2] :
( perp(X0,X0,X1,X2)
| ~ midp(X2,X0,X0)
| ~ midp(X0,X1,X1) ),
inference(resolution,[status(thm)],[f1131,f260]) ).
fof(f3012,plain,
! [X0,X1,X2,X3,X4] :
( cong(X0,X1,X2,X3)
| ~ midp(X2,X4,X3)
| ~ cong(X0,X1,X4,X2) ),
inference(resolution,[status(thm)],[f1196,f149]) ).
fof(f3013,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X3,X2)
| ~ midp(X0,X1,X3) ),
inference(resolution,[status(thm)],[f1196,f260]) ).
fof(f3019,plain,
! [X0] :
( cong(sk0_28,X0,sk0_28,sk0_20)
| ~ midp(sk0_28,X0,sk0_26) ),
inference(resolution,[status(thm)],[f3013,f372]) ).
fof(f3021,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X3)
| ~ midp(X0,X2,X3) ),
inference(resolution,[status(thm)],[f3013,f122]) ).
fof(f3023,plain,
! [X0] :
( cong(sk0_28,X0,sk0_28,sk0_20)
| ~ midp(sk0_28,sk0_26,X0) ),
inference(resolution,[status(thm)],[f3019,f122]) ).
fof(f3029,plain,
! [X0] :
( cong(sk0_28,X0,sk0_28,sk0_26)
| ~ midp(sk0_28,X0,sk0_20) ),
inference(resolution,[status(thm)],[f3021,f372]) ).
fof(f3032,plain,
cong(sk0_28,sk0_20,sk0_28,sk0_20),
inference(resolution,[status(thm)],[f3023,f372]) ).
fof(f3056,plain,
cong(sk0_28,sk0_26,sk0_28,sk0_26),
inference(resolution,[status(thm)],[f3029,f372]) ).
fof(f3062,plain,
! [X0] :
( ~ cong(sk0_28,X0,sk0_28,X0)
| perp(sk0_28,sk0_28,sk0_26,X0) ),
inference(resolution,[status(thm)],[f3056,f654]) ).
fof(f3063,plain,
( ~ coll(sk0_26,sk0_28,sk0_28)
| midp(sk0_26,sk0_28,sk0_28) ),
inference(resolution,[status(thm)],[f3056,f865]) ).
fof(f3064,plain,
( ~ spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f3063,f411,f414]) ).
fof(f3198,plain,
! [X0,X1] :
( ~ para(sk0_28,X0,sk0_28,X1)
| ~ para(sk0_28,X1,sk0_28,X0)
| midp(sk0_26,X0,X1)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f252,f415]) ).
fof(f3199,plain,
! [X0,X1] :
( ~ para(sk0_28,X0,sk0_28,X1)
| midp(sk0_26,X0,X1)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3198,f107]) ).
fof(f3992,plain,
! [X0] :
( midp(sk0_26,X0,X0)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f3199,f1813]) ).
fof(f4015,plain,
perp(sk0_28,sk0_28,sk0_26,sk0_20),
inference(resolution,[status(thm)],[f3062,f3032]) ).
fof(f4027,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_28,sk0_28)
| para(X0,X1,sk0_26,sk0_20) ),
inference(resolution,[status(thm)],[f4015,f117]) ).
fof(f4084,plain,
! [X0,X1] :
( para(X0,X1,sk0_26,sk0_20)
| ~ perp(sk0_20,sk0_20,X1,X0) ),
inference(resolution,[status(thm)],[f4027,f1294]) ).
fof(f4407,plain,
! [X0] :
( midp(X0,sk0_26,sk0_26)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f3992,f1837]) ).
fof(f4445,plain,
! [X0,X1] :
( perp(sk0_26,sk0_26,X0,X1)
| ~ midp(sk0_26,X0,X0)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f4407,f2711]) ).
fof(f4446,plain,
! [X0,X1] :
( perp(sk0_26,sk0_26,X0,X1)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f4445,f3992]) ).
fof(f4495,plain,
! [X0,X1] :
( perp(sk0_20,sk0_20,X0,X1)
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f1779,f4446]) ).
fof(f4525,plain,
! [X0,X1] :
( perp(X0,X1,sk0_28,sk0_28)
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f1296,f4495]) ).
fof(f4528,plain,
! [X0,X1] :
( para(X0,X1,sk0_26,sk0_20)
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f4084,f4495]) ).
fof(f4584,plain,
! [X0] :
( cong(X0,sk0_28,X0,sk0_28)
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f467,f4525]) ).
fof(f4615,plain,
! [X0,X1] :
( para(sk0_26,sk0_20,X0,X1)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f4528,f107]) ).
fof(f5019,plain,
! [X0] :
( ~ coll(X0,sk0_28,sk0_28)
| midp(X0,sk0_28,sk0_28)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f4584,f656]) ).
fof(f5020,plain,
! [X0] :
( midp(X0,sk0_28,sk0_28)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f5019,f1836]) ).
fof(f6151,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,sk0_26,sk0_20)
| para(X0,X1,X2,X3)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f4615,f110]) ).
fof(f6152,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f6151,f4528]) ).
fof(f6162,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X1,X3,X2,X4)
| midp(X0,X4,X3)
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f252,f6152]) ).
fof(f6163,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| midp(X0,X3,X4)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f6162,f6152]) ).
fof(f6291,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f6163,f5020]) ).
fof(f6309,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f260,f6291]) ).
fof(f6439,plain,
! [X0,X1,X2,X3,X4] :
( cong(X0,X1,X2,X3)
| ~ cong(X0,X1,X4,X2)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f3012,f6291]) ).
fof(f6517,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f6309,f6439]) ).
fof(f6589,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3)
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f654,f6517]) ).
fof(f6590,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f6589,f6517]) ).
fof(f6601,plain,
( $false
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f388,f6590]) ).
fof(f6602,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f6601]) ).
fof(f6603,plain,
$false,
inference(sat_refutation,[status(thm)],[f445,f3064,f6602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GEO642+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n001.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 12:34:45 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.31 % Drodi V3.5.1
% 0.15/0.52 % Refutation found
% 0.15/0.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.54 % Elapsed time: 0.232251 seconds
% 0.15/0.54 % CPU time: 1.385833 seconds
% 0.15/0.54 % Memory used: 64.210 MB
%------------------------------------------------------------------------------