TSTP Solution File: GEO589+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO589+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 : Tue Apr 30 20:18:21 EDT 2024
% Result : Theorem 2.41s 0.64s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 24
% Syntax : Number of formulae : 134 ( 33 unt; 0 def)
% Number of atoms : 322 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 317 ( 129 ~; 124 |; 39 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 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 : 539 ( 523 !; 16 ?)
% 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(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(f11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,B)
& cong(O,A,O,C) )
=> circle(O,A,B,C) ),
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(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(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(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(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/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [A,B,C,O,M] :
( ( circle(O,A,B,C)
& coll(M,B,C)
& eqangle(A,B,A,C,O,B,O,M) )
=> midp(M,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ),
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(f58,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ),
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(f95,conjecture,
! [A,B,C,O,D,E,NWPNT1,NWPNT2] :
( ( circle(O,A,B,C)
& perp(A,C,B,D)
& circle(O,A,D,NWPNT1)
& circle(O,D,E,NWPNT2)
& coll(E,D,O) )
=> para(B,E,A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,O,D,E,NWPNT1,NWPNT2] :
( ( circle(O,A,B,C)
& perp(A,C,B,D)
& circle(O,A,D,NWPNT1)
& circle(O,D,E,NWPNT2)
& coll(E,D,O) )
=> para(B,E,A,C) ),
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(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(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(f123,plain,
! [A,B,C,O] :
( ~ cong(O,A,O,B)
| ~ cong(O,A,O,C)
| circle(O,A,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f123]) ).
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(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(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(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(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(f217,plain,
! [A,B,C,O,M] :
( ~ circle(O,A,B,C)
| ~ coll(M,B,C)
| ~ eqangle(A,B,A,C,O,B,O,M)
| midp(M,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f52]) ).
fof(f218,plain,
! [B,C,M] :
( ! [A,O] :
( ~ circle(O,A,B,C)
| ~ coll(M,B,C)
| ~ eqangle(A,B,A,C,O,B,O,M) )
| midp(M,B,C) ),
inference(miniscoping,[status(esa)],[f217]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4] :
( ~ circle(X0,X1,X2,X3)
| ~ coll(X4,X2,X3)
| ~ eqangle(X1,X2,X1,X3,X0,X2,X0,X4)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f218]) ).
fof(f220,plain,
! [A,B,C,M] :
( ~ perp(A,B,B,C)
| ~ midp(M,A,C)
| cong(A,M,B,M) ),
inference(pre_NNF_transformation,[status(esa)],[f53]) ).
fof(f221,plain,
! [A,B,M] :
( ! [C] :
( ~ perp(A,B,B,C)
| ~ midp(M,A,C) )
| cong(A,M,B,M) ),
inference(miniscoping,[status(esa)],[f220]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f221]) ).
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(f233,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f58]) ).
fof(f234,plain,
! [A,P,Q] :
( ! [B] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q) )
| perp(P,A,A,Q) ),
inference(miniscoping,[status(esa)],[f233]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| ~ cyclic(X0,X2,X1,X3)
| perp(X1,X0,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f234]) ).
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(f369,plain,
? [A,B,C,O,D,E,NWPNT1,NWPNT2] :
( circle(O,A,B,C)
& perp(A,C,B,D)
& circle(O,A,D,NWPNT1)
& circle(O,D,E,NWPNT2)
& coll(E,D,O)
& ~ para(B,E,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [A,B,C,E] :
( ? [O,D] :
( circle(O,A,B,C)
& perp(A,C,B,D)
& ? [NWPNT1] : circle(O,A,D,NWPNT1)
& ? [NWPNT2] : circle(O,D,E,NWPNT2)
& coll(E,D,O) )
& ~ para(B,E,A,C) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( circle(sk0_24,sk0_20,sk0_21,sk0_22)
& perp(sk0_20,sk0_22,sk0_21,sk0_25)
& circle(sk0_24,sk0_20,sk0_25,sk0_26)
& circle(sk0_24,sk0_25,sk0_23,sk0_27)
& coll(sk0_23,sk0_25,sk0_24)
& ~ para(sk0_21,sk0_23,sk0_20,sk0_22) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f372,plain,
circle(sk0_24,sk0_20,sk0_21,sk0_22),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f373,plain,
perp(sk0_20,sk0_22,sk0_21,sk0_25),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f377,plain,
~ para(sk0_21,sk0_23,sk0_20,sk0_22),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f528,plain,
perp(sk0_21,sk0_25,sk0_20,sk0_22),
inference(resolution,[status(thm)],[f114,f373]) ).
fof(f593,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_20,sk0_22)
| para(X0,X1,sk0_21,sk0_25) ),
inference(resolution,[status(thm)],[f117,f373]) ).
fof(f602,plain,
para(sk0_21,sk0_25,sk0_21,sk0_25),
inference(resolution,[status(thm)],[f593,f528]) ).
fof(f613,plain,
! [X0,X1] : eqangle(sk0_21,sk0_25,X0,X1,sk0_21,sk0_25,X0,X1),
inference(resolution,[status(thm)],[f602,f189]) ).
fof(f818,plain,
! [X0,X1] : eqangle(X0,X1,sk0_21,sk0_25,X0,X1,sk0_21,sk0_25),
inference(resolution,[status(thm)],[f140,f613]) ).
fof(f1058,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f818,f186]) ).
fof(f1065,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[status(thm)],[f1058,f189]) ).
fof(f1067,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[f1058,f105]) ).
fof(f1068,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f1058,f256]) ).
fof(f1115,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[status(thm)],[f1068,f100]) ).
fof(f1169,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[status(thm)],[f1115,f98]) ).
fof(f1180,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[status(thm)],[f1169,f103]) ).
fof(f1181,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f1180,f1169]) ).
fof(f1184,plain,
! [X0,X1,X2,X3,X4] :
( ~ circle(X0,X1,X2,X3)
| ~ eqangle(X1,X2,X1,X3,X0,X2,X0,X4)
| midp(X4,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f219,f1181]) ).
fof(f1185,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X0,X3,X2,X4)
| midp(X3,X1,X4) ),
inference(backward_subsumption_resolution,[status(thm)],[f204,f1181]) ).
fof(f1199,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(resolution,[status(thm)],[f1067,f189]) ).
fof(f1202,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X1,X2,X3,X2,X3),
inference(resolution,[status(thm)],[f1065,f144]) ).
fof(f1224,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X3,X2),
inference(resolution,[status(thm)],[f1199,f140]) ).
fof(f1338,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X0)
| midp(X2,X1,X2) ),
inference(resolution,[status(thm)],[f1185,f1058]) ).
fof(f1410,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f195,f1181]) ).
fof(f1416,plain,
! [X0,X1,X2] : cyclic(X0,X0,X1,X2),
inference(resolution,[status(thm)],[f1410,f1202]) ).
fof(f1443,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f1416,f136]) ).
fof(f1444,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f1443,f1416]) ).
fof(f1458,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2),
inference(backward_subsumption_resolution,[status(thm)],[f191,f1444]) ).
fof(f1459,plain,
! [X0,X1,X2,X3] :
( ~ circle(X0,X1,X2,X3)
| midp(X3,X2,X3) ),
inference(resolution,[status(thm)],[f1458,f1184]) ).
fof(f1471,plain,
midp(sk0_22,sk0_21,sk0_22),
inference(resolution,[status(thm)],[f1459,f372]) ).
fof(f1602,plain,
! [X0] : midp(X0,sk0_21,X0),
inference(resolution,[status(thm)],[f1471,f1338]) ).
fof(f1613,plain,
! [X0] : midp(X0,X0,sk0_21),
inference(resolution,[status(thm)],[f1602,f122]) ).
fof(f2346,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(forward_subsumption_resolution,[status(thm)],[f198,f1444]) ).
fof(f2376,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X1,X1)
| ~ cyclic(X0,X1,X1,X1)
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f2346,f1224]) ).
fof(f2377,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X1,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f2376]) ).
fof(f2378,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f2377,f1444]) ).
fof(f2752,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X1,X0,X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f1444]) ).
fof(f2852,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X1)
| perp(X1,X0,X0,X2) ),
inference(resolution,[status(thm)],[f2378,f2752]) ).
fof(f2853,plain,
! [X0,X1,X2] : perp(X0,X1,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f2852,f2378]) ).
fof(f2864,plain,
! [X0,X1,X2,X3] :
( ~ midp(X0,X1,X2)
| cong(X1,X0,X3,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f2853]) ).
fof(f2973,plain,
! [X0,X1] : cong(X0,X0,X1,X0),
inference(resolution,[status(thm)],[f2864,f1613]) ).
fof(f2979,plain,
! [X0,X1] : cong(X0,X0,X0,X1),
inference(resolution,[status(thm)],[f2973,f149]) ).
fof(f2993,plain,
! [X0,X1,X2] :
( ~ cong(X0,X0,X0,X1)
| circle(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2979,f124]) ).
fof(f2994,plain,
! [X0,X1,X2] : circle(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f2993,f2979]) ).
fof(f3002,plain,
! [X0,X1] : midp(X0,X1,X0),
inference(resolution,[status(thm)],[f2994,f1459]) ).
fof(f3007,plain,
! [X0,X1,X2] : cong(X0,X1,X2,X1),
inference(resolution,[status(thm)],[f3002,f2864]) ).
fof(f3029,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X3,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f232,f3007]) ).
fof(f3030,plain,
! [X0,X1,X2,X3] : perp(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f3029,f3007]) ).
fof(f3036,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X0,X1,X2,X3)
| para(X4,X5,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f117,f3030]) ).
fof(f3037,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f3036,f3030]) ).
fof(f3053,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f377,f3037]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO589+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n015.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Apr 30 01:57:17 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.6.0
% 2.41/0.64 % Refutation found
% 2.41/0.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.41/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.49/0.66 % Elapsed time: 0.343331 seconds
% 2.49/0.66 % CPU time: 2.537506 seconds
% 2.49/0.66 % Total memory used: 85.605 MB
% 2.49/0.66 % Net memory used: 80.055 MB
%------------------------------------------------------------------------------