%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO564+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:25:15 PM UTC 2026
% Result : Theorem 20.70s 3.11s
% Output : CNFRefutation 20.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 43
% Syntax : Number of formulae : 230 ( 13 unt; 17 def)
% Number of atoms : 832 ( 0 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 956 ( 354 ~; 342 |; 216 &)
% ( 17 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 56 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 14 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 945 ( 885 !; 60 ?)
% 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,D)
& coll(A,B,C) )
=> 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(C,D,E,F)
& perp(A,B,C,D) )
=> para(A,B,E,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B,C,D,E,F] :
( ( perp(C,D,E,F)
& para(A,B,C,D) )
=> perp(A,B,E,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B,C,O] :
( ( cong(O,A,O,C)
& cong(O,A,O,B) )
=> circle(O,A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,E)
& cyclic(A,B,C,D) )
=> cyclic(B,C,D,E) ),
file('/export/starexec/sandbox2/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/sandbox2/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/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(P,Q,U,V,E,F,G,H)
& eqangle(A,B,C,D,P,Q,U,V) )
=> eqangle(A,B,C,D,E,F,G,H) ),
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(f43,axiom,
! [A,B,P,Q] :
( ( coll(P,Q,B)
& eqangle(P,A,P,B,Q,A,Q,B) )
=> cyclic(A,B,P,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A,B,C,P,Q,R] :
( ( eqangle(C,A,C,B,R,P,R,Q)
& cyclic(A,B,C,R)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,P) )
=> cong(A,B,P,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [A,B,C,O,M] :
( ( midp(M,B,C)
& circle(O,A,B,C) )
=> eqangle(A,B,A,C,O,B,O,M) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [A,B,M,O] :
( ( perp(O,M,A,B)
& midp(M,A,B) )
=> cong(O,A,O,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [A,B,P,Q] :
( ( cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(A,B,P,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [A,B,C,D,M] :
( ( para(A,D,B,C)
& para(A,C,B,D)
& midp(M,A,B) )
=> midp(M,C,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] :
( ( coll(A,B,C)
& cong(A,B,A,C) )
=> midp(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,H,O,OC,OA,OB,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :
( ( perp(H,A,MIDPNT21,OB)
& midp(MIDPNT21,H,A)
& perp(C,A,MIDPNT11,OB)
& midp(MIDPNT11,C,A)
& perp(C,H,MIDPNT01,OB)
& midp(MIDPNT01,C,H)
& perp(H,C,MIDPNT9,OA)
& midp(MIDPNT9,H,C)
& perp(B,C,MIDPNT8,OA)
& midp(MIDPNT8,B,C)
& perp(B,H,MIDPNT7,OA)
& midp(MIDPNT7,B,H)
& perp(H,B,MIDPNT6,OC)
& midp(MIDPNT6,H,B)
& perp(A,B,MIDPNT5,OC)
& midp(MIDPNT5,A,B)
& perp(A,H,MIDPNT4,OC)
& midp(MIDPNT4,A,H)
& perp(B,C,MIDPNT3,O)
& midp(MIDPNT3,B,C)
& perp(A,C,MIDPNT2,O)
& midp(MIDPNT2,A,C)
& perp(A,B,MIDPNT1,O)
& midp(MIDPNT1,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(A,B,C,H) )
=> ( eqangle(A,B,B,C,OA,OB,OB,OC)
& ( eqangle(B,A,A,C,OA,OC,OC,OB)
| eqangle(A,B,B,C,OB,OA,OA,OC) )
& ( eqangle(B,A,A,C,OA,OC,OC,OB)
| eqangle(A,B,B,C,OA,OC,OC,OB) )
& ( eqangle(B,A,A,C,OA,OB,OB,OC)
| eqangle(A,B,B,C,OB,OA,OA,OC) )
& ( eqangle(B,A,A,C,OA,OB,OB,OC)
| eqangle(A,B,B,C,OA,OC,OC,OB) )
& ( eqangle(B,A,A,C,OB,OA,OA,OC)
| eqangle(A,B,B,C,OA,OB,OB,OC) )
& eqangle(B,A,A,C,OB,OA,OA,OC) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,H,O,OC,OA,OB,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :
( ( perp(H,A,MIDPNT21,OB)
& midp(MIDPNT21,H,A)
& perp(C,A,MIDPNT11,OB)
& midp(MIDPNT11,C,A)
& perp(C,H,MIDPNT01,OB)
& midp(MIDPNT01,C,H)
& perp(H,C,MIDPNT9,OA)
& midp(MIDPNT9,H,C)
& perp(B,C,MIDPNT8,OA)
& midp(MIDPNT8,B,C)
& perp(B,H,MIDPNT7,OA)
& midp(MIDPNT7,B,H)
& perp(H,B,MIDPNT6,OC)
& midp(MIDPNT6,H,B)
& perp(A,B,MIDPNT5,OC)
& midp(MIDPNT5,A,B)
& perp(A,H,MIDPNT4,OC)
& midp(MIDPNT4,A,H)
& perp(B,C,MIDPNT3,O)
& midp(MIDPNT3,B,C)
& perp(A,C,MIDPNT2,O)
& midp(MIDPNT2,A,C)
& perp(A,B,MIDPNT1,O)
& midp(MIDPNT1,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(A,B,C,H) )
=> ( eqangle(A,B,B,C,OA,OB,OB,OC)
& ( eqangle(B,A,A,C,OA,OC,OC,OB)
| eqangle(A,B,B,C,OB,OA,OA,OC) )
& ( eqangle(B,A,A,C,OA,OC,OC,OB)
| eqangle(A,B,B,C,OA,OC,OC,OB) )
& ( eqangle(B,A,A,C,OA,OB,OB,OC)
| eqangle(A,B,B,C,OB,OA,OA,OC) )
& ( eqangle(B,A,A,C,OA,OB,OB,OC)
| eqangle(A,B,B,C,OA,OC,OC,OB) )
& ( eqangle(B,A,A,C,OB,OA,OA,OC)
| eqangle(A,B,B,C,OA,OB,OB,OC) )
& eqangle(B,A,A,C,OB,OA,OA,OC) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f97,plain,
! [A,B,C] :
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
! [A,B,C] :
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f100,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [A,B,C,D] :
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
! [A,C,D] :
( coll(C,D,A)
| ! [B] :
( ~ coll(A,B,D)
| ~ coll(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f106,plain,
! [A,B,C,D] :
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f113,plain,
! [A,B,C,D] :
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [A,B,C,D,E,F] :
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f116,plain,
! [A,B,E,F] :
( para(A,B,E,F)
| ! [C,D] :
( ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f118,plain,
! [A,B,C,D,E,F] :
( perp(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f119,plain,
! [A,B,E,F] :
( perp(A,B,E,F)
| ! [C,D] :
( ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f123,plain,
! [A,B,C,O] :
( circle(O,A,B,C)
| ~ cong(O,A,O,C)
| ~ cong(O,A,O,B) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( circle(X0,X1,X2,X3)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f134,plain,
! [A,B,C,D,E] :
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f135,plain,
! [B,C,D,E] :
( cyclic(B,C,D,E)
| ! [A] :
( ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ) ),
inference(miniscoping,[status(thm)],[f134]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f137,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(B,A,C,D,P,Q,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
fof(f139,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(C,D,A,B,U,V,P,Q)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f141,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(P,Q,U,V,A,B,C,D)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f143,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,P,Q,C,D,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f145,plain,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( eqangle(A,B,C,D,E,F,G,H)
| ~ eqangle(P,Q,U,V,E,F,G,H)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f146,plain,
! [A,B,C,D,E,F,G,H] :
( eqangle(A,B,C,D,E,F,G,H)
| ! [P,Q,U,V] :
( ~ eqangle(P,Q,U,V,E,F,G,H)
| ~ eqangle(A,B,C,D,P,Q,U,V) ) ),
inference(miniscoping,[status(thm)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(thm)],[f146]) ).
fof(f184,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(thm)],[f39]) ).
fof(f185,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(miniscoping,[status(thm)],[f184]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
fof(f187,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(thm)],[f40]) ).
fof(f188,plain,
! [A,B,C,D] :
( ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q)
| ~ para(A,B,C,D) ),
inference(miniscoping,[status(thm)],[f187]) ).
fof(f189,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f190,plain,
! [A,B,P,Q] :
( eqangle(P,A,P,B,Q,A,Q,B)
| ~ cyclic(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f194,plain,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
| ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
! [A,B,C,P,Q,R] :
( cong(A,B,P,Q)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| ~ cyclic(A,B,C,R)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,P) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f197,plain,
! [A,B,P,Q] :
( cong(A,B,P,Q)
| ! [C,R] :
( ~ eqangle(C,A,C,B,R,P,R,Q)
| ~ cyclic(A,B,C,R)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,P) ) ),
inference(miniscoping,[status(thm)],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f215,plain,
! [A,B,C,O,M] :
( eqangle(A,B,A,C,O,B,O,M)
| ~ midp(M,B,C)
| ~ circle(O,A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f51]) ).
fof(f216,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X1,X2,X1,X3,X0,X2,X0,X4)
| ~ midp(X4,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f215]) ).
fof(f228,plain,
! [A,B,M,O] :
( cong(O,A,O,B)
| ~ perp(O,M,A,B)
| ~ midp(M,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f229,plain,
! [A,B,O] :
( cong(O,A,O,B)
| ! [M] :
( ~ perp(O,M,A,B)
| ~ midp(M,A,B) ) ),
inference(miniscoping,[status(thm)],[f228]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( cong(X3,X1,X3,X2)
| ~ perp(X3,X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(f231,plain,
! [A,B,P,Q] :
( perp(A,B,P,Q)
| ~ cong(A,Q,B,Q)
| ~ cong(A,P,B,P) ),
inference(pre_NNF_transformation,[status(thm)],[f57]) ).
fof(f232,plain,
! [X0,X1,X2,X3] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
fof(f250,plain,
! [A,B,C,D,M] :
( midp(M,C,D)
| ~ para(A,D,B,C)
| ~ para(A,C,B,D)
| ~ midp(M,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f65]) ).
fof(f251,plain,
! [C,D,M] :
( midp(M,C,D)
| ! [A,B] :
( ~ para(A,D,B,C)
| ~ para(A,C,B,D)
| ~ midp(M,A,B) ) ),
inference(miniscoping,[status(thm)],[f250]) ).
fof(f252,plain,
! [X0,X1,X2,X3,X4] :
( midp(X0,X3,X4)
| ~ para(X1,X4,X2,X3)
| ~ para(X1,X3,X2,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f255,plain,
! [A,B,C] :
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(pre_NNF_transformation,[status(thm)],[f67]) ).
fof(f256,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f257,plain,
! [A,B,C] :
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f258,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f369,plain,
? [A,B,C,H,O,OC,OA,OB,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :
( ( ~ eqangle(A,B,B,C,OA,OB,OB,OC)
| ( ~ eqangle(B,A,A,C,OA,OC,OC,OB)
& ~ eqangle(A,B,B,C,OB,OA,OA,OC) )
| ( ~ eqangle(B,A,A,C,OA,OC,OC,OB)
& ~ eqangle(A,B,B,C,OA,OC,OC,OB) )
| ( ~ eqangle(B,A,A,C,OA,OB,OB,OC)
& ~ eqangle(A,B,B,C,OB,OA,OA,OC) )
| ( ~ eqangle(B,A,A,C,OA,OB,OB,OC)
& ~ eqangle(A,B,B,C,OA,OC,OC,OB) )
| ( ~ eqangle(B,A,A,C,OB,OA,OA,OC)
& ~ eqangle(A,B,B,C,OA,OB,OB,OC) )
| ~ eqangle(B,A,A,C,OB,OA,OA,OC) )
& perp(H,A,MIDPNT21,OB)
& midp(MIDPNT21,H,A)
& perp(C,A,MIDPNT11,OB)
& midp(MIDPNT11,C,A)
& perp(C,H,MIDPNT01,OB)
& midp(MIDPNT01,C,H)
& perp(H,C,MIDPNT9,OA)
& midp(MIDPNT9,H,C)
& perp(B,C,MIDPNT8,OA)
& midp(MIDPNT8,B,C)
& perp(B,H,MIDPNT7,OA)
& midp(MIDPNT7,B,H)
& perp(H,B,MIDPNT6,OC)
& midp(MIDPNT6,H,B)
& perp(A,B,MIDPNT5,OC)
& midp(MIDPNT5,A,B)
& perp(A,H,MIDPNT4,OC)
& midp(MIDPNT4,A,H)
& perp(B,C,MIDPNT3,O)
& midp(MIDPNT3,B,C)
& perp(A,C,MIDPNT2,O)
& midp(MIDPNT2,A,C)
& perp(A,B,MIDPNT1,O)
& midp(MIDPNT1,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(A,B,C,H) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,definition,
! [A,B,C,OC,OA,OB] :
( sP0_prd(OB,OA,OC,C,B,A)
<=> ( ~ eqangle(B,A,A,C,OB,OA,OA,OC)
& ~ eqangle(A,B,B,C,OA,OB,OB,OC) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f371,definition,
! [A,B,C,OC,OA,OB] :
( sP1_prd(OB,OA,OC,C,B,A)
<=> ( ~ eqangle(B,A,A,C,OA,OB,OB,OC)
& ~ eqangle(A,B,B,C,OA,OC,OC,OB) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f372,definition,
! [A,B,C,OC,OA,OB] :
( sP2_prd(OB,OA,OC,C,B,A)
<=> ( ~ eqangle(B,A,A,C,OA,OB,OB,OC)
& ~ eqangle(A,B,B,C,OB,OA,OA,OC) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f373,definition,
! [A,B,C,OC,OA,OB] :
( sP3_prd(OB,OA,OC,C,B,A)
<=> ( ~ eqangle(B,A,A,C,OA,OC,OC,OB)
& ~ eqangle(A,B,B,C,OA,OC,OC,OB) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f374,plain,
? [A,B,C,H,O,OC,OA,OB,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :
( ( ~ eqangle(A,B,B,C,OA,OB,OB,OC)
| ( ~ eqangle(B,A,A,C,OA,OC,OC,OB)
& ~ eqangle(A,B,B,C,OB,OA,OA,OC) )
| sP3_prd(OB,OA,OC,C,B,A)
| sP2_prd(OB,OA,OC,C,B,A)
| sP1_prd(OB,OA,OC,C,B,A)
| sP0_prd(OB,OA,OC,C,B,A)
| ~ eqangle(B,A,A,C,OB,OA,OA,OC) )
& perp(H,A,MIDPNT21,OB)
& midp(MIDPNT21,H,A)
& perp(C,A,MIDPNT11,OB)
& midp(MIDPNT11,C,A)
& perp(C,H,MIDPNT01,OB)
& midp(MIDPNT01,C,H)
& perp(H,C,MIDPNT9,OA)
& midp(MIDPNT9,H,C)
& perp(B,C,MIDPNT8,OA)
& midp(MIDPNT8,B,C)
& perp(B,H,MIDPNT7,OA)
& midp(MIDPNT7,B,H)
& perp(H,B,MIDPNT6,OC)
& midp(MIDPNT6,H,B)
& perp(A,B,MIDPNT5,OC)
& midp(MIDPNT5,A,B)
& perp(A,H,MIDPNT4,OC)
& midp(MIDPNT4,A,H)
& perp(B,C,MIDPNT3,O)
& midp(MIDPNT3,B,C)
& perp(A,C,MIDPNT2,O)
& midp(MIDPNT2,A,C)
& perp(A,B,MIDPNT1,O)
& midp(MIDPNT1,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(A,B,C,H) ),
inference(formula_renaming,[status(thm)],[f369,f373,f372,f371,f370]) ).
fof(f375,plain,
? [A,B,C,OC,OA,OB] :
( ( ~ eqangle(A,B,B,C,OA,OB,OB,OC)
| ( ~ eqangle(B,A,A,C,OA,OC,OC,OB)
& ~ eqangle(A,B,B,C,OB,OA,OA,OC) )
| sP3_prd(OB,OA,OC,C,B,A)
| sP2_prd(OB,OA,OC,C,B,A)
| sP1_prd(OB,OA,OC,C,B,A)
| sP0_prd(OB,OA,OC,C,B,A)
| ~ eqangle(B,A,A,C,OB,OA,OA,OC) )
& ? [H,MIDPNT21] :
( perp(H,A,MIDPNT21,OB)
& midp(MIDPNT21,H,A)
& ? [MIDPNT11] :
( perp(C,A,MIDPNT11,OB)
& midp(MIDPNT11,C,A)
& ? [MIDPNT01] :
( perp(C,H,MIDPNT01,OB)
& midp(MIDPNT01,C,H)
& ? [MIDPNT9] :
( perp(H,C,MIDPNT9,OA)
& midp(MIDPNT9,H,C)
& ? [MIDPNT8] :
( perp(B,C,MIDPNT8,OA)
& midp(MIDPNT8,B,C)
& ? [MIDPNT7] :
( perp(B,H,MIDPNT7,OA)
& midp(MIDPNT7,B,H)
& ? [MIDPNT6] :
( perp(H,B,MIDPNT6,OC)
& midp(MIDPNT6,H,B)
& ? [MIDPNT5] :
( perp(A,B,MIDPNT5,OC)
& midp(MIDPNT5,A,B)
& ? [MIDPNT4] :
( perp(A,H,MIDPNT4,OC)
& midp(MIDPNT4,A,H)
& ? [O,MIDPNT3] :
( perp(B,C,MIDPNT3,O)
& midp(MIDPNT3,B,C)
& ? [MIDPNT2] :
( perp(A,C,MIDPNT2,O)
& midp(MIDPNT2,A,C)
& ? [MIDPNT1] :
( perp(A,B,MIDPNT1,O)
& midp(MIDPNT1,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(A,B,C,H) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f374]) ).
fof(f376,plain,
( ( ~ eqangle(sK20_skl,sK21_skl,sK21_skl,sK22_skl,sK24_skl,sK25_skl,sK25_skl,sK23_skl)
| ( ~ eqangle(sK21_skl,sK20_skl,sK20_skl,sK22_skl,sK24_skl,sK23_skl,sK23_skl,sK25_skl)
& ~ eqangle(sK20_skl,sK21_skl,sK21_skl,sK22_skl,sK25_skl,sK24_skl,sK24_skl,sK23_skl) )
| sP3_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)
| sP2_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)
| sP1_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)
| sP0_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)
| ~ eqangle(sK21_skl,sK20_skl,sK20_skl,sK22_skl,sK25_skl,sK24_skl,sK24_skl,sK23_skl) )
& perp(sK26_skl,sK20_skl,sK27_skl,sK25_skl)
& midp(sK27_skl,sK26_skl,sK20_skl)
& perp(sK22_skl,sK20_skl,sK28_skl,sK25_skl)
& midp(sK28_skl,sK22_skl,sK20_skl)
& perp(sK22_skl,sK26_skl,sK29_skl,sK25_skl)
& midp(sK29_skl,sK22_skl,sK26_skl)
& perp(sK26_skl,sK22_skl,sK30_skl,sK24_skl)
& midp(sK30_skl,sK26_skl,sK22_skl)
& perp(sK21_skl,sK22_skl,sK31_skl,sK24_skl)
& midp(sK31_skl,sK21_skl,sK22_skl)
& perp(sK21_skl,sK26_skl,sK32_skl,sK24_skl)
& midp(sK32_skl,sK21_skl,sK26_skl)
& perp(sK26_skl,sK21_skl,sK33_skl,sK23_skl)
& midp(sK33_skl,sK26_skl,sK21_skl)
& perp(sK20_skl,sK21_skl,sK34_skl,sK23_skl)
& midp(sK34_skl,sK20_skl,sK21_skl)
& perp(sK20_skl,sK26_skl,sK35_skl,sK23_skl)
& midp(sK35_skl,sK20_skl,sK26_skl)
& perp(sK21_skl,sK22_skl,sK37_skl,sK36_skl)
& midp(sK37_skl,sK21_skl,sK22_skl)
& perp(sK20_skl,sK22_skl,sK38_skl,sK36_skl)
& midp(sK38_skl,sK20_skl,sK22_skl)
& perp(sK20_skl,sK21_skl,sK39_skl,sK36_skl)
& midp(sK39_skl,sK20_skl,sK21_skl)
& perp(sK21_skl,sK22_skl,sK20_skl,sK26_skl)
& perp(sK20_skl,sK22_skl,sK21_skl,sK26_skl)
& perp(sK20_skl,sK21_skl,sK22_skl,sK26_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl,sK29_skl,sK30_skl,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl,sK36_skl,sK37_skl,sK38_skl,sK39_skl]),skolemize(A,sK20_skl),skolemize(B,sK21_skl),skolemize(C,sK22_skl),skolemize(OC,sK23_skl),skolemize(OA,sK24_skl),skolemize(OB,sK25_skl),skolemize(H,sK26_skl),skolemize(MIDPNT21,sK27_skl),skolemize(MIDPNT11,sK28_skl),skolemize(MIDPNT01,sK29_skl),skolemize(MIDPNT9,sK30_skl),skolemize(MIDPNT8,sK31_skl),skolemize(MIDPNT7,sK32_skl),skolemize(MIDPNT6,sK33_skl),skolemize(MIDPNT5,sK34_skl),skolemize(MIDPNT4,sK35_skl),skolemize(O,sK36_skl),skolemize(MIDPNT3,sK37_skl),skolemize(MIDPNT2,sK38_skl),skolemize(MIDPNT1,sK39_skl)],[f375]) ).
fof(f379,plain,
perp(sK21_skl,sK22_skl,sK20_skl,sK26_skl),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f386,plain,
midp(sK35_skl,sK20_skl,sK26_skl),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f387,plain,
perp(sK20_skl,sK26_skl,sK35_skl,sK23_skl),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f392,plain,
midp(sK32_skl,sK21_skl,sK26_skl),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f397,plain,
perp(sK26_skl,sK22_skl,sK30_skl,sK24_skl),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f398,plain,
midp(sK29_skl,sK22_skl,sK26_skl),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f404,plain,
( ~ eqangle(sK20_skl,sK21_skl,sK21_skl,sK22_skl,sK24_skl,sK25_skl,sK25_skl,sK23_skl)
| ~ eqangle(sK20_skl,sK21_skl,sK21_skl,sK22_skl,sK25_skl,sK24_skl,sK24_skl,sK23_skl)
| sP3_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)
| sP2_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)
| sP1_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)
| sP0_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl)
| ~ eqangle(sK21_skl,sK20_skl,sK20_skl,sK22_skl,sK25_skl,sK24_skl,sK24_skl,sK23_skl) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f406,plain,
! [A,B,C,OC,OA,OB] :
( ( eqangle(B,A,A,C,OB,OA,OA,OC)
| eqangle(A,B,B,C,OA,OB,OB,OC)
| sP0_prd(OB,OA,OC,C,B,A) )
& ( ( ~ eqangle(B,A,A,C,OB,OA,OA,OC)
& ~ eqangle(A,B,B,C,OA,OB,OB,OC) )
| ~ sP0_prd(OB,OA,OC,C,B,A) ) ),
inference(NNF_transformation,[status(thm)],[f370]) ).
fof(f407,plain,
( ! [A,B,C,OC,OA,OB] :
( eqangle(B,A,A,C,OB,OA,OA,OC)
| eqangle(A,B,B,C,OA,OB,OB,OC)
| sP0_prd(OB,OA,OC,C,B,A) )
& ! [A,B,C,OC,OA,OB] :
( ( ~ eqangle(B,A,A,C,OB,OA,OA,OC)
& ~ eqangle(A,B,B,C,OA,OB,OB,OC) )
| ~ sP0_prd(OB,OA,OC,C,B,A) ) ),
inference(miniscoping,[status(thm)],[f406]) ).
fof(f409,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X4,X5,X5,X3,X0,X1,X1,X2)
| ~ sP0_prd(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f411,plain,
! [A,B,C,OC,OA,OB] :
( ( eqangle(B,A,A,C,OA,OB,OB,OC)
| eqangle(A,B,B,C,OA,OC,OC,OB)
| sP1_prd(OB,OA,OC,C,B,A) )
& ( ( ~ eqangle(B,A,A,C,OA,OB,OB,OC)
& ~ eqangle(A,B,B,C,OA,OC,OC,OB) )
| ~ sP1_prd(OB,OA,OC,C,B,A) ) ),
inference(NNF_transformation,[status(thm)],[f371]) ).
fof(f412,plain,
( ! [A,B,C,OC,OA,OB] :
( eqangle(B,A,A,C,OA,OB,OB,OC)
| eqangle(A,B,B,C,OA,OC,OC,OB)
| sP1_prd(OB,OA,OC,C,B,A) )
& ! [A,B,C,OC,OA,OB] :
( ( ~ eqangle(B,A,A,C,OA,OB,OB,OC)
& ~ eqangle(A,B,B,C,OA,OC,OC,OB) )
| ~ sP1_prd(OB,OA,OC,C,B,A) ) ),
inference(miniscoping,[status(thm)],[f411]) ).
fof(f414,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X4,X5,X5,X3,X1,X0,X0,X2)
| ~ sP1_prd(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f416,plain,
! [A,B,C,OC,OA,OB] :
( ( eqangle(B,A,A,C,OA,OB,OB,OC)
| eqangle(A,B,B,C,OB,OA,OA,OC)
| sP2_prd(OB,OA,OC,C,B,A) )
& ( ( ~ eqangle(B,A,A,C,OA,OB,OB,OC)
& ~ eqangle(A,B,B,C,OB,OA,OA,OC) )
| ~ sP2_prd(OB,OA,OC,C,B,A) ) ),
inference(NNF_transformation,[status(thm)],[f372]) ).
fof(f417,plain,
( ! [A,B,C,OC,OA,OB] :
( eqangle(B,A,A,C,OA,OB,OB,OC)
| eqangle(A,B,B,C,OB,OA,OA,OC)
| sP2_prd(OB,OA,OC,C,B,A) )
& ! [A,B,C,OC,OA,OB] :
( ( ~ eqangle(B,A,A,C,OA,OB,OB,OC)
& ~ eqangle(A,B,B,C,OB,OA,OA,OC) )
| ~ sP2_prd(OB,OA,OC,C,B,A) ) ),
inference(miniscoping,[status(thm)],[f416]) ).
fof(f419,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X4,X5,X5,X3,X1,X0,X0,X2)
| ~ sP2_prd(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f421,plain,
! [A,B,C,OC,OA,OB] :
( ( eqangle(B,A,A,C,OA,OC,OC,OB)
| eqangle(A,B,B,C,OA,OC,OC,OB)
| sP3_prd(OB,OA,OC,C,B,A) )
& ( ( ~ eqangle(B,A,A,C,OA,OC,OC,OB)
& ~ eqangle(A,B,B,C,OA,OC,OC,OB) )
| ~ sP3_prd(OB,OA,OC,C,B,A) ) ),
inference(NNF_transformation,[status(thm)],[f373]) ).
fof(f422,plain,
( ! [A,B,C,OC,OA,OB] :
( eqangle(B,A,A,C,OA,OC,OC,OB)
| eqangle(A,B,B,C,OA,OC,OC,OB)
| sP3_prd(OB,OA,OC,C,B,A) )
& ! [A,B,C,OC,OA,OB] :
( ( ~ eqangle(B,A,A,C,OA,OC,OC,OB)
& ~ eqangle(A,B,B,C,OA,OC,OC,OB) )
| ~ sP3_prd(OB,OA,OC,C,B,A) ) ),
inference(miniscoping,[status(thm)],[f421]) ).
fof(f424,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X4,X5,X5,X3,X1,X2,X2,X0)
| ~ sP3_prd(X0,X1,X2,X3,X4,X5) ),
inference(cnf_transformation,[status(thm)],[f422]) ).
fof(f426,definition,
( sQ0_spl
<=> eqangle(sK21_skl,sK20_skl,sK20_skl,sK22_skl,sK25_skl,sK24_skl,sK24_skl,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( sQ0_spl
| ~ eqangle(sK21_skl,sK20_skl,sK20_skl,sK22_skl,sK25_skl,sK24_skl,sK24_skl,sK23_skl) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ1_spl
<=> sP0_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( ~ sQ1_spl
| sP0_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl) ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ2_spl
<=> sP1_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( ~ sQ2_spl
| sP1_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ3_spl
<=> sP2_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( ~ sQ3_spl
| sP2_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ4_spl
<=> sP3_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ4_spl
| sP3_prd(sK25_skl,sK24_skl,sK23_skl,sK22_skl,sK21_skl,sK20_skl) ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ5_spl
<=> eqangle(sK20_skl,sK21_skl,sK21_skl,sK22_skl,sK25_skl,sK24_skl,sK24_skl,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( sQ5_spl
| ~ eqangle(sK20_skl,sK21_skl,sK21_skl,sK22_skl,sK25_skl,sK24_skl,sK24_skl,sK23_skl) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ6_spl
<=> eqangle(sK20_skl,sK21_skl,sK21_skl,sK22_skl,sK24_skl,sK25_skl,sK25_skl,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ6_spl
| ~ eqangle(sK20_skl,sK21_skl,sK21_skl,sK22_skl,sK24_skl,sK25_skl,sK25_skl,sK23_skl) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| sQ4_spl
| sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f404,f426,f429,f432,f435,f438,f441,f444]) ).
fof(f629,plain,
! [X0,X1] :
( para(X0,X1,sK20_skl,sK26_skl)
| ~ perp(X0,X1,sK21_skl,sK22_skl) ),
inference(resolution,[status(thm)],[f379,f117]) ).
fof(f735,plain,
! [X0,X1] :
( para(X0,X1,sK35_skl,sK23_skl)
| ~ perp(X0,X1,sK20_skl,sK26_skl) ),
inference(resolution,[status(thm)],[f387,f117]) ).
fof(f750,plain,
! [X0,X1] :
( para(X0,X1,sK30_skl,sK24_skl)
| ~ perp(X0,X1,sK26_skl,sK22_skl) ),
inference(resolution,[status(thm)],[f397,f117]) ).
fof(f751,plain,
perp(sK30_skl,sK24_skl,sK26_skl,sK22_skl),
inference(resolution,[status(thm)],[f397,f114]) ).
fof(f2311,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f189,f144]) ).
fof(f2313,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f189,f140]) ).
fof(f3215,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( eqangle(X5,X6,X7,X8,X0,X2,X0,X4)
| ~ eqangle(X5,X6,X7,X8,X1,X2,X1,X3)
| ~ midp(X4,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f216,f147]) ).
fof(f3219,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X2,X1,X1,X3,X0,X2,X0,X4)
| ~ midp(X4,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f216,f138]) ).
fof(f3344,plain,
para(sK30_skl,sK24_skl,sK30_skl,sK24_skl),
inference(resolution,[status(thm)],[f750,f751]) ).
fof(f12289,definition,
! [X4,X5] :
( sQ803_spl
<=> ~ para(X4,X5,X4,X5) ),
introduced(definition,[new_symbols(definition,[sQ803_spl])],[split_symbol_definition]) ).
fof(f12290,plain,
! [X0,X1] :
( ~ sQ803_spl
| ~ para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f12289]) ).
fof(f12358,plain,
( ~ sQ803_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f3344,f12290]) ).
fof(f12390,plain,
~ sQ803_spl,
inference(contradiction_clause,[status(thm)],[f12358]) ).
fof(f12492,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f2313,f186]) ).
fof(f12509,definition,
! [X2,X3] :
( sQ806_spl
<=> para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ806_spl])],[split_symbol_definition]) ).
fof(f12510,plain,
! [X0,X1] :
( ~ sQ806_spl
| para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f12509]) ).
fof(f12512,plain,
( sQ806_spl
| sQ803_spl ),
inference(split_clause,[status(thm)],[f12492,f12289,f12509]) ).
fof(f12553,plain,
! [X0,X1] :
( ~ sQ806_spl
| coll(X0,X1,X1) ),
inference(resolution,[status(thm)],[f12510,f256]) ).
fof(f12566,plain,
! [X0,X1] :
( ~ sQ806_spl
| coll(X0,X1,X0) ),
inference(resolution,[status(thm)],[f12553,f100]) ).
fof(f12576,plain,
! [X0,X1] :
( ~ sQ806_spl
| coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f12566,f98]) ).
fof(f12577,plain,
! [X0,X1,X2] :
( ~ sQ806_spl
| coll(X1,X2,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f12576,f103]) ).
fof(f12580,plain,
! [X0,X1,X2] :
( ~ sQ806_spl
| coll(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f12577,f12576]) ).
fof(f12583,plain,
! [X0,X1,X2] :
( ~ sQ806_spl
| midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f12580]) ).
fof(f12588,plain,
! [X0,X1,X2,X3] :
( ~ sQ806_spl
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f12580]) ).
fof(f13386,plain,
! [X0,X1,X2] :
( ~ sQ806_spl
| ~ para(X1,X0,X1,X0)
| cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f12588,f2311]) ).
fof(f13444,plain,
! [X0,X1,X2] :
( ~ sQ806_spl
| cyclic(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f13386,f12510]) ).
fof(f13468,plain,
! [X0,X1,X2,X3] :
( ~ sQ806_spl
| cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f13444,f136]) ).
fof(f13472,plain,
! [X0,X1,X2,X3] :
( ~ sQ806_spl
| cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f13468,f13444]) ).
fof(f13480,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ806_spl
| cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f198,f13472]) ).
fof(f13481,plain,
! [X0,X1,X2,X3] :
( ~ sQ806_spl
| eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f13472]) ).
fof(f13483,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ806_spl
| cong(X0,X1,X5,X3)
| ~ eqangle(X2,X0,X2,X1,X4,X5,X4,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f13480,f13472]) ).
fof(f14912,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ806_spl
| cong(X1,X2,X4,X5)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f13483,f13472]) ).
fof(f14998,plain,
! [X0,X1] :
( ~ sQ806_spl
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f13481,f14912]) ).
fof(f15061,plain,
! [X0,X1,X2] :
( ~ sQ806_spl
| perp(X0,X0,X1,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f14998,f232]) ).
fof(f15067,plain,
! [X0,X1,X2] :
( ~ sQ806_spl
| perp(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f15061,f14998]) ).
fof(f15142,plain,
! [X0] :
( ~ sQ806_spl
| para(X0,X0,sK20_skl,sK26_skl) ),
inference(resolution,[status(thm)],[f15067,f629]) ).
fof(f15143,plain,
! [X0] :
( ~ sQ806_spl
| para(X0,X0,sK35_skl,sK23_skl) ),
inference(resolution,[status(thm)],[f15067,f735]) ).
fof(f15403,plain,
! [X0] :
( ~ sQ806_spl
| para(sK20_skl,sK26_skl,X0,X0) ),
inference(resolution,[status(thm)],[f15142,f107]) ).
fof(f15409,plain,
! [X0] :
( ~ sQ806_spl
| para(sK35_skl,sK23_skl,X0,X0) ),
inference(resolution,[status(thm)],[f15143,f107]) ).
fof(f15685,plain,
! [X0,X1,X2] :
( ~ sQ806_spl
| perp(sK20_skl,sK26_skl,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f15403,f120]) ).
fof(f15689,plain,
! [X0,X1] :
( ~ sQ806_spl
| perp(sK20_skl,sK26_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f15685,f15067]) ).
fof(f15724,plain,
! [X0,X1,X2] :
( ~ sQ806_spl
| perp(sK35_skl,sK23_skl,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f15409,f120]) ).
fof(f15728,plain,
! [X0,X1] :
( ~ sQ806_spl
| perp(sK35_skl,sK23_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f15724,f15067]) ).
fof(f16083,plain,
! [X0,X1] :
( ~ sQ806_spl
| perp(X0,X1,sK20_skl,sK26_skl) ),
inference(resolution,[status(thm)],[f15689,f114]) ).
fof(f16792,plain,
! [X0,X1] :
( ~ sQ806_spl
| para(X0,X1,sK35_skl,sK23_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f735,f16083]) ).
fof(f16794,plain,
! [X0,X1] :
( ~ sQ806_spl
| cong(X1,sK20_skl,X1,sK26_skl)
| ~ midp(X0,sK20_skl,sK26_skl) ),
inference(resolution,[status(thm)],[f16083,f230]) ).
fof(f16798,definition,
! [X0] :
( sQ846_spl
<=> ~ midp(X0,sK20_skl,sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ846_spl])],[split_symbol_definition]) ).
fof(f16799,plain,
! [X0] :
( ~ sQ846_spl
| ~ midp(X0,sK20_skl,sK26_skl) ),
inference(component_clause,[status(thm)],[f16798]) ).
fof(f16801,definition,
! [X1] :
( sQ847_spl
<=> cong(X1,sK20_skl,X1,sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ847_spl])],[split_symbol_definition]) ).
fof(f16802,plain,
! [X0] :
( ~ sQ847_spl
| cong(X0,sK20_skl,X0,sK26_skl) ),
inference(component_clause,[status(thm)],[f16801]) ).
fof(f16804,plain,
( ~ sQ806_spl
| sQ847_spl
| sQ846_spl ),
inference(split_clause,[status(thm)],[f16794,f16798,f16801,f12509]) ).
fof(f16805,plain,
( ~ sQ846_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f386,f16799]) ).
fof(f16813,plain,
~ sQ846_spl,
inference(contradiction_clause,[status(thm)],[f16805]) ).
fof(f16951,definition,
! [X0] :
( sQ854_spl
<=> ~ midp(X0,sK22_skl,sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ854_spl])],[split_symbol_definition]) ).
fof(f16952,plain,
! [X0] :
( ~ sQ854_spl
| ~ midp(X0,sK22_skl,sK26_skl) ),
inference(component_clause,[status(thm)],[f16951]) ).
fof(f16958,plain,
( ~ sQ854_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f398,f16952]) ).
fof(f16966,plain,
~ sQ854_spl,
inference(contradiction_clause,[status(thm)],[f16958]) ).
fof(f17028,definition,
! [X0] :
( sQ858_spl
<=> ~ midp(X0,sK21_skl,sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ858_spl])],[split_symbol_definition]) ).
fof(f17029,plain,
! [X0] :
( ~ sQ858_spl
| ~ midp(X0,sK21_skl,sK26_skl) ),
inference(component_clause,[status(thm)],[f17028]) ).
fof(f17254,plain,
( ~ sQ858_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f392,f17029]) ).
fof(f17262,plain,
~ sQ858_spl,
inference(contradiction_clause,[status(thm)],[f17254]) ).
fof(f18032,plain,
! [X0,X1,X2,X3] :
( ~ sQ806_spl
| perp(X2,X3,X0,X1)
| ~ perp(sK35_skl,sK23_skl,X0,X1) ),
inference(resolution,[status(thm)],[f16792,f120]) ).
fof(f18036,plain,
! [X0,X1,X2,X3] :
( ~ sQ806_spl
| perp(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f18032,f15728]) ).
fof(f18037,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ806_spl
| para(X4,X5,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f117,f18036]) ).
fof(f18050,plain,
! [X0,X1,X2,X3] :
( ~ sQ806_spl
| cong(X3,X1,X3,X2)
| ~ midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f230,f18036]) ).
fof(f18051,plain,
! [X0,X1,X2,X3] :
( ~ sQ806_spl
| para(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f18037,f18036]) ).
fof(f18055,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ806_spl
| midp(X0,X4,X3)
| ~ para(X1,X3,X2,X4)
| ~ midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f252,f18051]) ).
fof(f18070,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ806_spl
| eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f189,f18051]) ).
fof(f18219,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ806_spl
| midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f18055,f18051]) ).
fof(f18272,plain,
! [X0] :
( ~ sQ806_spl
| ~ sQ847_spl
| midp(X0,sK20_skl,sK26_skl) ),
inference(resolution,[status(thm)],[f16802,f12583]) ).
fof(f18386,plain,
! [X0,X1,X2] :
( ~ sQ806_spl
| ~ sQ847_spl
| midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f18219,f18272]) ).
fof(f18407,plain,
! [X0,X1,X2] :
( ~ sQ806_spl
| ~ sQ847_spl
| cong(X0,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f18050,f18386]) ).
fof(f18503,plain,
! [X0,X1,X2,X3] :
( ~ sQ806_spl
| ~ sQ847_spl
| circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f124,f18407]) ).
fof(f18509,plain,
! [X0,X1,X2,X3] :
( ~ sQ806_spl
| ~ sQ847_spl
| circle(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f18503,f18407]) ).
fof(f19000,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ806_spl
| ~ sQ847_spl
| eqangle(X3,X4,X5,X6,X8,X1,X8,X0)
| ~ eqangle(X3,X4,X5,X6,X7,X1,X7,X2)
| ~ midp(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f3215,f18509]) ).
fof(f19010,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ806_spl
| ~ sQ847_spl
| eqangle(X3,X4,X5,X2,X6,X1,X6,X0)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f19000,f18070]) ).
fof(f19062,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ806_spl
| ~ sQ847_spl
| eqangle(X0,X1,X2,X3,X4,X5,X4,X6) ),
inference(forward_subsumption_resolution,[status(thm)],[f19010,f18386]) ).
fof(f19190,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ806_spl
| ~ sQ847_spl
| eqangle(X1,X3,X3,X2,X4,X1,X4,X0)
| ~ midp(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f3219,f18509]) ).
fof(f19209,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ806_spl
| ~ sQ847_spl
| eqangle(X3,X1,X3,X0,X1,X4,X4,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f19190,f142]) ).
fof(f19229,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ806_spl
| ~ sQ847_spl
| eqangle(X0,X1,X0,X2,X1,X3,X3,X4) ),
inference(forward_subsumption_resolution,[status(thm)],[f19209,f18386]) ).
fof(f20456,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ sQ806_spl
| ~ sQ847_spl
| eqangle(X0,X1,X2,X3,X5,X7,X7,X8)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X4,X6) ),
inference(resolution,[status(thm)],[f19229,f147]) ).
fof(f20461,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sQ806_spl
| ~ sQ847_spl
| eqangle(X0,X1,X2,X3,X4,X5,X5,X6) ),
inference(forward_subsumption_resolution,[status(thm)],[f20456,f19062]) ).
fof(f21240,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ806_spl
| ~ sQ847_spl
| ~ sP3_prd(X0,X1,X2,X3,X4,X5) ),
inference(backward_subsumption_resolution,[status(thm)],[f424,f20461]) ).
fof(f21242,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ806_spl
| ~ sQ847_spl
| ~ sP2_prd(X0,X1,X2,X3,X4,X5) ),
inference(backward_subsumption_resolution,[status(thm)],[f419,f20461]) ).
fof(f21244,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ806_spl
| ~ sQ847_spl
| ~ sP1_prd(X0,X1,X2,X3,X4,X5) ),
inference(backward_subsumption_resolution,[status(thm)],[f414,f20461]) ).
fof(f21246,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ806_spl
| ~ sQ847_spl
| ~ sP0_prd(X0,X1,X2,X3,X4,X5) ),
inference(backward_subsumption_resolution,[status(thm)],[f409,f20461]) ).
fof(f21253,plain,
( ~ sQ4_spl
| ~ sQ806_spl
| ~ sQ847_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f439,f21240]) ).
fof(f21254,plain,
( ~ sQ4_spl
| ~ sQ806_spl
| ~ sQ847_spl ),
inference(contradiction_clause,[status(thm)],[f21253]) ).
fof(f21267,plain,
( ~ sQ2_spl
| ~ sQ806_spl
| ~ sQ847_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f433,f21244]) ).
fof(f21268,plain,
( ~ sQ2_spl
| ~ sQ806_spl
| ~ sQ847_spl ),
inference(contradiction_clause,[status(thm)],[f21267]) ).
fof(f22127,plain,
( sQ5_spl
| ~ sQ806_spl
| ~ sQ847_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f443,f20461]) ).
fof(f22128,plain,
( sQ5_spl
| ~ sQ806_spl
| ~ sQ847_spl ),
inference(contradiction_clause,[status(thm)],[f22127]) ).
fof(f22129,plain,
( ~ sQ3_spl
| ~ sQ806_spl
| ~ sQ847_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f436,f21242]) ).
fof(f22130,plain,
( ~ sQ3_spl
| ~ sQ806_spl
| ~ sQ847_spl ),
inference(contradiction_clause,[status(thm)],[f22129]) ).
fof(f22131,plain,
( sQ0_spl
| ~ sQ806_spl
| ~ sQ847_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f20461]) ).
fof(f22132,plain,
( sQ0_spl
| ~ sQ806_spl
| ~ sQ847_spl ),
inference(contradiction_clause,[status(thm)],[f22131]) ).
fof(f22133,plain,
( ~ sQ1_spl
| ~ sQ806_spl
| ~ sQ847_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f21246]) ).
fof(f22134,plain,
( ~ sQ1_spl
| ~ sQ806_spl
| ~ sQ847_spl ),
inference(contradiction_clause,[status(thm)],[f22133]) ).
fof(f22135,plain,
( sQ6_spl
| ~ sQ806_spl
| ~ sQ847_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f20461]) ).
fof(f22136,plain,
( sQ6_spl
| ~ sQ806_spl
| ~ sQ847_spl ),
inference(contradiction_clause,[status(thm)],[f22135]) ).
fof(f22137,plain,
$false,
inference(sat_refutation,[status(thm)],[f447,f12390,f12512,f16804,f16813,f16966,f17262,f21254,f21268,f22128,f22130,f22132,f22134,f22136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO564+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 17:29:21 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 20.70/3.11 % Refutation found
% 20.70/3.11 % SZS status Theorem for theBenchmark: Theorem is valid
% 20.70/3.11 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.83/3.15 % Elapsed time: 2.766484 seconds
% 20.83/3.15 % CPU time: 21.754072 seconds
% 20.83/3.15 % Total memory used: 219.739 MB
% 20.83/3.15 % Net memory used: 201.984 MB
%------------------------------------------------------------------------------