TSTP Solution File: GEO573+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO573+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:09:12 EDT 2023
% Result : Theorem 4.90s 1.05s
% Output : CNFRefutation 5.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 32
% Syntax : Number of formulae : 187 ( 27 unt; 0 def)
% Number of atoms : 446 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 434 ( 175 ~; 170 |; 56 &)
% ( 1 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 2 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 723 (; 705 !; 18 ?)
% 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(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
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(f14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,D)
& cyclic(A,B,C,E) )
=> cyclic(B,C,D,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(B,A,C,D,P,Q,U,V) ),
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(f20,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(P,Q,U,V,A,B,C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(A,B,P,Q,C,D,U,V) ),
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(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(f41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [A,B,P,Q] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& coll(P,Q,B) )
=> cyclic(A,B,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A,B,C,P,Q,R] :
( ( cyclic(A,B,C,P)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,R)
& eqangle(C,A,C,B,R,P,R,Q) )
=> cong(A,B,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(f55,axiom,
! [A,B,C,D] :
( ( cyclic(A,B,C,D)
& para(A,B,C,D) )
=> eqangle(A,D,C,D,C,D,C,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(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(f95,conjecture,
! [A,B,C,O,D,E,K,H,NWPNT1] :
( ( circle(O,A,B,C)
& perp(D,C,A,B)
& coll(D,A,B)
& perp(E,B,A,C)
& coll(E,A,C)
& circle(O,C,K,NWPNT1)
& coll(K,C,D)
& coll(H,C,D)
& coll(H,B,E) )
=> cong(A,K,A,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,O,D,E,K,H,NWPNT1] :
( ( circle(O,A,B,C)
& perp(D,C,A,B)
& coll(D,A,B)
& perp(E,B,A,C)
& coll(E,A,C)
& circle(O,C,K,NWPNT1)
& coll(K,C,D)
& coll(H,C,D)
& coll(H,B,E) )
=> cong(A,K,A,H) ),
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(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(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(f128,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f130,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f132,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f134,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f135,plain,
! [B,C,D,E] :
( ! [A] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E) )
| cyclic(B,C,D,E) ),
inference(miniscoping,[status(esa)],[f134]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f137,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(B,A,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(esa)],[f137]) ).
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(f141,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(P,Q,U,V,A,B,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f141]) ).
fof(f143,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(A,B,P,Q,C,D,U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[status(esa)],[f143]) ).
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(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(f190,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(pre_NNF_transformation,[status(esa)],[f41]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f194,plain,
! [A,B,P,Q] :
( ~ eqangle(P,A,P,B,Q,A,Q,B)
| ~ coll(P,Q,B)
| cyclic(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f43]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f196,plain,
! [A,B,C,P,Q,R] :
( ~ cyclic(A,B,C,P)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f44]) ).
fof(f197,plain,
! [A,B,P,Q] :
( ! [C,R] :
( ~ cyclic(A,B,C,P)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q) )
| cong(A,B,P,Q) ),
inference(miniscoping,[status(esa)],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[status(esa)],[f197]) ).
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(f226,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| ~ para(A,B,C,D)
| eqangle(A,D,C,D,C,D,C,B) ),
inference(pre_NNF_transformation,[status(esa)],[f55]) ).
fof(f227,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3)
| eqangle(X0,X3,X2,X3,X2,X3,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f226]) ).
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(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(f369,plain,
? [A,B,C,O,D,E,K,H,NWPNT1] :
( circle(O,A,B,C)
& perp(D,C,A,B)
& coll(D,A,B)
& perp(E,B,A,C)
& coll(E,A,C)
& circle(O,C,K,NWPNT1)
& coll(K,C,D)
& coll(H,C,D)
& coll(H,B,E)
& ~ cong(A,K,A,H) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [A,K,H] :
( ? [B,E] :
( ? [C,D] :
( ? [O] :
( circle(O,A,B,C)
& perp(D,C,A,B)
& coll(D,A,B)
& perp(E,B,A,C)
& coll(E,A,C)
& ? [NWPNT1] : circle(O,C,K,NWPNT1) )
& coll(K,C,D)
& coll(H,C,D) )
& coll(H,B,E) )
& ~ cong(A,K,A,H) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( circle(sk0_27,sk0_20,sk0_23,sk0_25)
& perp(sk0_26,sk0_25,sk0_20,sk0_23)
& coll(sk0_26,sk0_20,sk0_23)
& perp(sk0_24,sk0_23,sk0_20,sk0_25)
& coll(sk0_24,sk0_20,sk0_25)
& circle(sk0_27,sk0_25,sk0_21,sk0_28)
& coll(sk0_21,sk0_25,sk0_26)
& coll(sk0_22,sk0_25,sk0_26)
& coll(sk0_22,sk0_23,sk0_24)
& ~ cong(sk0_20,sk0_21,sk0_20,sk0_22) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f373,plain,
perp(sk0_26,sk0_25,sk0_20,sk0_23),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f375,plain,
perp(sk0_24,sk0_23,sk0_20,sk0_25),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f381,plain,
~ cong(sk0_20,sk0_21,sk0_20,sk0_22),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f384,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X2,X1) ),
inference(resolution,[status(thm)],[f260,f122]) ).
fof(f387,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X4,X5,X0,X1) ),
inference(resolution,[status(thm)],[f117,f107]) ).
fof(f502,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X1,X0,X4,X5) ),
inference(resolution,[status(thm)],[f138,f186]) ).
fof(f576,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X5,X4,X0,X1) ),
inference(resolution,[status(thm)],[f142,f502]) ).
fof(f577,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X4,X5,X0,X1) ),
inference(resolution,[status(thm)],[f142,f186]) ).
fof(f839,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X3,X2,X4,X5,X1,X0,X4,X5) ),
inference(resolution,[status(thm)],[f576,f138]) ).
fof(f847,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X3,X2,X4,X5,X0,X1,X4,X5) ),
inference(resolution,[status(thm)],[f577,f138]) ).
fof(f929,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X1,X0,X4,X5,X3,X2,X4,X5) ),
inference(resolution,[status(thm)],[f839,f142]) ).
fof(f945,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X3,X2,X4,X5) ),
inference(resolution,[status(thm)],[f847,f142]) ).
fof(f964,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| cyclic(X1,X2,X0,X3)
| ~ coll(X3,X0,X2) ),
inference(resolution,[status(thm)],[f195,f100]) ).
fof(f965,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| cyclic(X1,X2,X0,X3)
| ~ coll(X0,X2,X3) ),
inference(resolution,[status(thm)],[f195,f98]) ).
fof(f1598,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X4,X5,X1,X0,X4,X5,X3,X2) ),
inference(resolution,[status(thm)],[f929,f140]) ).
fof(f1622,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X4,X5,X0,X1,X4,X5,X3,X2) ),
inference(resolution,[status(thm)],[f945,f140]) ).
fof(f5247,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_24,sk0_23)
| para(sk0_20,sk0_25,X0,X1) ),
inference(resolution,[status(thm)],[f387,f375]) ).
fof(f5248,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_26,sk0_25)
| para(sk0_20,sk0_23,X0,X1) ),
inference(resolution,[status(thm)],[f387,f373]) ).
fof(f5265,plain,
! [X0,X1] :
( para(sk0_20,sk0_25,X0,X1)
| ~ perp(sk0_24,sk0_23,X0,X1) ),
inference(resolution,[status(thm)],[f5247,f114]) ).
fof(f5279,plain,
! [X0,X1] :
( para(sk0_20,sk0_23,X0,X1)
| ~ perp(X0,X1,sk0_25,sk0_26) ),
inference(resolution,[status(thm)],[f5248,f112]) ).
fof(f5280,plain,
para(sk0_20,sk0_25,sk0_20,sk0_25),
inference(resolution,[status(thm)],[f5265,f375]) ).
fof(f5296,plain,
! [X0,X1] : eqangle(sk0_20,sk0_25,X0,X1,sk0_20,sk0_25,X0,X1),
inference(resolution,[status(thm)],[f5280,f189]) ).
fof(f5374,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[f5296,f1622]) ).
fof(f5378,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f5296,f1598]) ).
fof(f5428,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X1,X0)
| eqangle(X0,X0,X1,X0,X1,X0,X1,X1) ),
inference(resolution,[status(thm)],[f5374,f227]) ).
fof(f5442,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[status(thm)],[f5378,f189]) ).
fof(f5445,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f5378,f256]) ).
fof(f5446,plain,
! [X0,X1,X2] :
( ~ eqangle(X0,X1,X0,X2,X2,X1,X2,X2)
| cyclic(X1,X2,X0,X2) ),
inference(resolution,[status(thm)],[f5445,f965]) ).
fof(f5447,plain,
! [X0,X1,X2] :
( ~ eqangle(X0,X1,X0,X0,X2,X1,X2,X0)
| cyclic(X1,X0,X0,X2) ),
inference(resolution,[status(thm)],[f5445,f964]) ).
fof(f6049,plain,
( spl0_311
<=> perp(sk0_20,sk0_23,sk0_24,sk0_25) ),
introduced(split_symbol_definition) ).
fof(f6050,plain,
( perp(sk0_20,sk0_23,sk0_24,sk0_25)
| ~ spl0_311 ),
inference(component_clause,[status(thm)],[f6049]) ).
fof(f6051,plain,
( ~ perp(sk0_20,sk0_23,sk0_24,sk0_25)
| spl0_311 ),
inference(component_clause,[status(thm)],[f6049]) ).
fof(f6146,plain,
! [X0,X1] :
( ~ para(sk0_20,sk0_23,X0,X1)
| ~ perp(X0,X1,sk0_24,sk0_25)
| spl0_311 ),
inference(resolution,[status(thm)],[f6051,f120]) ).
fof(f6293,plain,
! [X0,X1] :
( eqangle(X0,X0,X1,X0,X1,X0,X1,X1)
| ~ cyclic(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f5428,f129]) ).
fof(f6312,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X1)
| ~ eqangle(X1,X0,X1,X1,X2,X0,X2,X1) ),
inference(resolution,[status(thm)],[f5446,f142]) ).
fof(f6320,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X1,X2)
| ~ eqangle(X1,X0,X2,X0,X1,X1,X2,X1) ),
inference(resolution,[status(thm)],[f5447,f144]) ).
fof(f6444,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X1)
| ~ eqangle(X1,X1,X1,X0,X2,X1,X2,X0) ),
inference(resolution,[status(thm)],[f6312,f140]) ).
fof(f6468,plain,
! [X0,X1] : cyclic(X0,X0,X0,X1),
inference(resolution,[status(thm)],[f6320,f5442]) ).
fof(f6809,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X0,X0,X1)
| ~ eqangle(X0,X0,X0,X0,X2,X1,X2,X2)
| cong(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f6468,f198]) ).
fof(f6810,plain,
! [X0,X1,X2] :
( ~ eqangle(X0,X0,X0,X0,X1,X2,X1,X1)
| cong(X0,X0,X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f6809,f6468]) ).
fof(f7162,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X1)
| ~ cyclic(X1,X0,X1,X2) ),
inference(resolution,[status(thm)],[f6444,f191]) ).
fof(f7174,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X1)
| ~ cyclic(X1,X1,X0,X2) ),
inference(resolution,[status(thm)],[f7162,f131]) ).
fof(f7185,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X1)
| ~ cyclic(X1,X1,X2,X0) ),
inference(resolution,[status(thm)],[f7174,f129]) ).
fof(f7366,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X1)
| ~ cyclic(X1,X2,X1,X0) ),
inference(resolution,[status(thm)],[f7185,f131]) ).
fof(f7378,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X1)
| ~ cyclic(X2,X1,X1,X0) ),
inference(resolution,[status(thm)],[f7366,f133]) ).
fof(f7391,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X1)
| ~ cyclic(X2,X1,X0,X1) ),
inference(resolution,[status(thm)],[f7378,f129]) ).
fof(f7411,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X1)
| ~ cyclic(X2,X0,X1,X1) ),
inference(resolution,[status(thm)],[f7391,f131]) ).
fof(f7420,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X1)
| ~ cyclic(X3,X2,X0,X1)
| ~ cyclic(X3,X2,X0,X1) ),
inference(resolution,[status(thm)],[f7411,f136]) ).
fof(f7421,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X1)
| ~ cyclic(X3,X2,X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f7420]) ).
fof(f7470,plain,
! [X0,X1] : cyclic(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f7421,f6468]) ).
fof(f7478,plain,
! [X0,X1] : eqangle(X0,X0,X1,X0,X1,X0,X1,X1),
inference(backward_subsumption_resolution,[status(thm)],[f6293,f7470]) ).
fof(f7717,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(resolution,[status(thm)],[f6810,f7478]) ).
fof(f7744,plain,
! [X0] :
( ~ coll(X0,X0,X0)
| midp(X0,X0,X0) ),
inference(resolution,[status(thm)],[f7717,f258]) ).
fof(f7745,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f7744,f5445]) ).
fof(f7766,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| ~ para(X0,X2,X0,X1)
| midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f7745,f252]) ).
fof(f7767,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f7766,f107]) ).
fof(f7995,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[status(thm)],[f7767,f5378]) ).
fof(f8017,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X0,X2)
| ~ para(X0,X2,X0,X1)
| midp(X3,X1,X2) ),
inference(resolution,[status(thm)],[f7995,f252]) ).
fof(f8018,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X0,X2)
| midp(X3,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f8017,f107]) ).
fof(f8041,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f7995,f384]) ).
fof(f8066,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f8041,f232]) ).
fof(f8067,plain,
! [X0,X1,X2] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f8066,f8041]) ).
fof(f8104,plain,
! [X0] : para(sk0_20,sk0_23,X0,X0),
inference(resolution,[status(thm)],[f8067,f5279]) ).
fof(f8447,plain,
! [X0] :
( ~ perp(X0,X0,sk0_24,sk0_25)
| spl0_311 ),
inference(resolution,[status(thm)],[f8104,f6146]) ).
fof(f8448,plain,
( $false
| spl0_311 ),
inference(forward_subsumption_resolution,[status(thm)],[f8447,f8067]) ).
fof(f8449,plain,
spl0_311,
inference(contradiction_clause,[status(thm)],[f8448]) ).
fof(f8699,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_20,sk0_23)
| para(sk0_24,sk0_25,X0,X1)
| ~ spl0_311 ),
inference(resolution,[status(thm)],[f6050,f387]) ).
fof(f10766,plain,
! [X0] : midp(X0,sk0_23,sk0_20),
inference(resolution,[status(thm)],[f8018,f8104]) ).
fof(f11445,plain,
! [X0] : cong(X0,sk0_23,X0,sk0_20),
inference(resolution,[status(thm)],[f10766,f260]) ).
fof(f11755,plain,
! [X0] : cong(X0,sk0_23,sk0_20,X0),
inference(resolution,[status(thm)],[f11445,f149]) ).
fof(f11878,plain,
! [X0] : cong(sk0_20,X0,X0,sk0_23),
inference(resolution,[status(thm)],[f11755,f151]) ).
fof(f12338,plain,
! [X0] : cong(sk0_20,X0,sk0_23,X0),
inference(resolution,[status(thm)],[f11878,f149]) ).
fof(f12381,plain,
! [X0,X1] :
( ~ cong(sk0_20,X0,sk0_23,X0)
| perp(sk0_20,sk0_23,X0,X1) ),
inference(resolution,[status(thm)],[f12338,f232]) ).
fof(f12382,plain,
! [X0,X1] : perp(sk0_20,sk0_23,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f12381,f12338]) ).
fof(f13211,plain,
! [X0,X1] :
( para(sk0_24,sk0_25,X0,X1)
| ~ perp(sk0_20,sk0_23,X0,X1)
| ~ spl0_311 ),
inference(resolution,[status(thm)],[f8699,f114]) ).
fof(f13212,plain,
! [X0,X1] :
( para(sk0_24,sk0_25,X0,X1)
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[status(thm)],[f13211,f12382]) ).
fof(f13773,plain,
! [X0,X1] :
( midp(X0,sk0_25,X1)
| ~ spl0_311 ),
inference(resolution,[status(thm)],[f13212,f8018]) ).
fof(f13816,plain,
! [X0,X1,X2,X3] :
( ~ midp(X0,sk0_25,X1)
| para(X0,X2,X1,X3)
| ~ spl0_311 ),
inference(resolution,[status(thm)],[f13773,f201]) ).
fof(f13817,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| ~ spl0_311 ),
inference(forward_subsumption_resolution,[status(thm)],[f13816,f13773]) ).
fof(f13834,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ spl0_311 ),
inference(backward_subsumption_resolution,[status(thm)],[f8018,f13817]) ).
fof(f13853,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ spl0_311 ),
inference(backward_subsumption_resolution,[status(thm)],[f384,f13834]) ).
fof(f13885,plain,
( $false
| ~ spl0_311 ),
inference(backward_subsumption_resolution,[status(thm)],[f381,f13853]) ).
fof(f13886,plain,
~ spl0_311,
inference(contradiction_clause,[status(thm)],[f13885]) ).
fof(f13887,plain,
$false,
inference(sat_refutation,[status(thm)],[f8449,f13886]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO573+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.31 % Computer : n022.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Tue May 30 11:59:27 EDT 2023
% 0.08/0.31 % CPUTime :
% 0.13/0.32 % Drodi V3.5.1
% 4.90/1.05 % Refutation found
% 4.90/1.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.90/1.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.24/1.09 % Elapsed time: 0.759938 seconds
% 5.24/1.09 % CPU time: 5.273326 seconds
% 5.24/1.09 % Memory used: 90.237 MB
%------------------------------------------------------------------------------