TSTP Solution File: GEO576+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO576+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 8.66s 1.52s
% Output : CNFRefutation 8.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 24
% Syntax : Number of formulae : 133 ( 23 unt; 0 def)
% Number of atoms : 331 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 328 ( 130 ~; 127 |; 46 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 582 (; 566 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( ( eqangle(A,B,C,D,P,Q,U,V)
& eqangle(P,Q,U,V,E,F,G,H) )
=> eqangle(A,B,C,D,E,F,G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [A,B,P,Q] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& ~ coll(P,Q,A) )
=> cyclic(A,B,P,Q) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& para(E,F,B,C)
& coll(F,A,C) )
=> midp(F,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [A,B,O] :
( cong(O,A,O,B)
=> eqangle(O,A,A,B,A,B,O,B) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,D,O,D1,P,NWPNT1] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& circle(O,A,B,C)
& circle(O,A,D1,NWPNT1)
& coll(D1,A,D)
& perp(A,C,D1,P)
& coll(P,B,C) )
=> eqangle(O,A,A,D,C,A,A,P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,O,D1,P,NWPNT1] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& circle(O,A,B,C)
& circle(O,A,D1,NWPNT1)
& coll(D1,A,D)
& perp(A,C,D1,P)
& coll(P,B,C) )
=> eqangle(O,A,A,D,C,A,A,P) ),
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(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(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(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(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(f145,plain,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ eqangle(P,Q,U,V,E,F,G,H)
| eqangle(A,B,C,D,E,F,G,H) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f146,plain,
! [A,B,C,D,E,F,G,H] :
( ! [P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ eqangle(P,Q,U,V,E,F,G,H) )
| eqangle(A,B,C,D,E,F,G,H) ),
inference(miniscoping,[status(esa)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
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(f192,plain,
! [A,B,P,Q] :
( ~ eqangle(P,A,P,B,Q,A,Q,B)
| coll(P,Q,A)
| cyclic(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f192]) ).
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(f202,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ para(E,F,B,C)
| ~ coll(F,A,C)
| midp(F,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f46]) ).
fof(f203,plain,
! [A,C,F] :
( ! [B,E] :
( ~ midp(E,A,B)
| ~ para(E,F,B,C) )
| ~ coll(F,A,C)
| midp(F,A,C) ),
inference(miniscoping,[status(esa)],[f202]) ).
fof(f204,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X0,X3,X2,X4)
| ~ coll(X3,X1,X4)
| midp(X3,X1,X4) ),
inference(cnf_transformation,[status(esa)],[f203]) ).
fof(f205,plain,
! [A,B,O] :
( ~ cong(O,A,O,B)
| eqangle(O,A,A,B,A,B,O,B) ),
inference(pre_NNF_transformation,[status(esa)],[f47]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| eqangle(X0,X1,X1,X2,X1,X2,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f205]) ).
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(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,D,O,D1,P,NWPNT1] :
( perp(D,A,B,C)
& coll(D,B,C)
& circle(O,A,B,C)
& circle(O,A,D1,NWPNT1)
& coll(D1,A,D)
& perp(A,C,D1,P)
& coll(P,B,C)
& ~ eqangle(O,A,A,D,C,A,A,P) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [A,C,D,O,P] :
( ? [B] :
( ? [D1] :
( perp(D,A,B,C)
& coll(D,B,C)
& circle(O,A,B,C)
& ? [NWPNT1] : circle(O,A,D1,NWPNT1)
& coll(D1,A,D)
& perp(A,C,D1,P) )
& coll(P,B,C) )
& ~ eqangle(O,A,A,D,C,A,A,P) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( perp(sk0_22,sk0_20,sk0_25,sk0_21)
& coll(sk0_22,sk0_25,sk0_21)
& circle(sk0_23,sk0_20,sk0_25,sk0_21)
& circle(sk0_23,sk0_20,sk0_26,sk0_27)
& coll(sk0_26,sk0_20,sk0_22)
& perp(sk0_20,sk0_21,sk0_26,sk0_24)
& coll(sk0_24,sk0_25,sk0_21)
& ~ eqangle(sk0_23,sk0_20,sk0_20,sk0_22,sk0_21,sk0_20,sk0_20,sk0_24) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f372,plain,
perp(sk0_22,sk0_20,sk0_25,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f379,plain,
~ eqangle(sk0_23,sk0_20,sk0_20,sk0_22,sk0_21,sk0_20,sk0_20,sk0_24),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f441,plain,
perp(sk0_25,sk0_21,sk0_22,sk0_20),
inference(resolution,[status(thm)],[f114,f372]) ).
fof(f579,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X2,X1) ),
inference(resolution,[status(thm)],[f151,f260]) ).
fof(f603,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_25,sk0_21)
| para(X0,X1,sk0_22,sk0_20) ),
inference(resolution,[status(thm)],[f117,f441]) ).
fof(f765,plain,
para(sk0_22,sk0_20,sk0_22,sk0_20),
inference(resolution,[status(thm)],[f603,f372]) ).
fof(f2489,plain,
! [X0,X1] :
( para(X0,X0,X0,X1)
| ~ cong(X0,X0,X0,X1) ),
inference(resolution,[status(thm)],[f186,f206]) ).
fof(f2620,plain,
! [X0,X1] :
( para(X0,X0,X0,X1)
| ~ midp(X0,X1,X0) ),
inference(resolution,[status(thm)],[f2489,f579]) ).
fof(f2789,plain,
! [X0,X1] :
( ~ midp(X0,X1,X0)
| para(X0,X1,X0,X0) ),
inference(resolution,[status(thm)],[f2620,f107]) ).
fof(f3227,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,X4,X5,X4,X5) ),
inference(resolution,[status(thm)],[f189,f144]) ).
fof(f3233,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(resolution,[status(thm)],[f191,f186]) ).
fof(f3239,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X3,X0,X2,X1,X3,X1) ),
inference(resolution,[status(thm)],[f191,f144]) ).
fof(f4009,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X0)
| ~ coll(X2,X1,X0)
| midp(X2,X1,X0)
| ~ midp(X0,X2,X0) ),
inference(resolution,[status(thm)],[f204,f2789]) ).
fof(f5367,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X2,X1)
| cyclic(X1,X1,X0,X2) ),
inference(resolution,[status(thm)],[f3227,f195]) ).
fof(f5368,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X1)
| coll(X0,X2,X1)
| cyclic(X1,X1,X0,X2) ),
inference(resolution,[status(thm)],[f3227,f193]) ).
fof(f5369,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f5368,f5367]) ).
fof(f5385,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X4,X5,X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f3227,f142]) ).
fof(f6210,plain,
! [X0] : cyclic(sk0_20,sk0_20,sk0_22,X0),
inference(resolution,[status(thm)],[f5369,f765]) ).
fof(f6247,plain,
! [X0,X1] :
( ~ cyclic(sk0_20,sk0_20,sk0_22,X0)
| cyclic(sk0_20,sk0_22,X0,X1) ),
inference(resolution,[status(thm)],[f6210,f136]) ).
fof(f6248,plain,
! [X0,X1] : cyclic(sk0_20,sk0_22,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f6247,f6210]) ).
fof(f6254,plain,
! [X0,X1,X2] :
( ~ cyclic(sk0_20,sk0_22,X0,X1)
| cyclic(sk0_22,X0,X1,X2) ),
inference(resolution,[status(thm)],[f6248,f136]) ).
fof(f6255,plain,
! [X0,X1,X2] : cyclic(sk0_22,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f6254,f6248]) ).
fof(f6262,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(sk0_22,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f6255,f136]) ).
fof(f6263,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f6262,f6255]) ).
fof(f6268,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ eqangle(X2,X0,X2,X1,X4,X5,X4,X3)
| cong(X0,X1,X5,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f198,f6263]) ).
fof(f6269,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X4,X3,X5)
| cong(X0,X1,X4,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f6268,f6263]) ).
fof(f6273,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f3233,f6263]) ).
fof(f6314,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X1,X0,X3,X2,X3),
inference(backward_subsumption_resolution,[status(thm)],[f3239,f6263]) ).
fof(f6350,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X0)
| ~ coll(X2,X1,X2)
| midp(X2,X1,X2) ),
inference(resolution,[status(thm)],[f6273,f204]) ).
fof(f6353,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f6273,f256]) ).
fof(f6538,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[status(thm)],[f6353,f100]) ).
fof(f6547,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X0)
| midp(X2,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f6350,f6538]) ).
fof(f6705,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[status(thm)],[f6538,f98]) ).
fof(f6741,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[status(thm)],[f6705,f103]) ).
fof(f6742,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f6741,f6705]) ).
fof(f6747,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f6742]) ).
fof(f6765,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X0)
| midp(X2,X1,X0)
| ~ midp(X0,X2,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4009,f6742]) ).
fof(f6845,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X0,X1,X1)
| cong(X0,X0,X2,X2) ),
inference(resolution,[status(thm)],[f6314,f6269]) ).
fof(f6846,plain,
! [X0,X1] : cong(X0,X0,X1,X1),
inference(forward_subsumption_resolution,[status(thm)],[f6845,f6263]) ).
fof(f7372,plain,
! [X0] : midp(X0,X0,X0),
inference(resolution,[status(thm)],[f6747,f6846]) ).
fof(f7378,plain,
! [X0,X1] : midp(X0,X1,X0),
inference(resolution,[status(thm)],[f7372,f6547]) ).
fof(f7402,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ midp(X2,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f6765,f7378]) ).
fof(f7403,plain,
! [X0,X1,X2] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f7402,f7378]) ).
fof(f7500,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X1,X4,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f249,f7403]) ).
fof(f7501,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f7500,f7403]) ).
fof(f8155,plain,
! [X0,X1,X2,X3,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5),
inference(backward_subsumption_resolution,[status(thm)],[f3227,f7501]) ).
fof(f8174,plain,
! [X0,X1,X2,X3,X4,X5] : eqangle(X0,X1,X0,X1,X2,X3,X4,X5),
inference(backward_subsumption_resolution,[status(thm)],[f5385,f7501]) ).
fof(f8348,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| eqangle(X0,X1,X2,X3,X6,X7,X8,X9) ),
inference(resolution,[status(thm)],[f8174,f147]) ).
fof(f8349,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7),
inference(forward_subsumption_resolution,[status(thm)],[f8348,f8155]) ).
fof(f8350,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f379,f8349]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO576+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 11:54:49 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 8.66/1.52 % Refutation found
% 8.66/1.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.66/1.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.93/1.55 % Elapsed time: 1.188890 seconds
% 8.93/1.55 % CPU time: 8.993707 seconds
% 8.93/1.55 % Memory used: 123.445 MB
%------------------------------------------------------------------------------