%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO593+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 : n011.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 12:25:19 PM UTC 2026
% Result : Theorem 0.34s 21.15s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 31
% Syntax : Number of formulae : 159 ( 9 unt; 6 def)
% Number of atoms : 464 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 506 ( 201 ~; 195 |; 78 &)
% ( 6 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 7 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 570 ( 546 !; 24 ?)
% 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(f4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ),
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(f6,axiom,
! [A,B,C,D,E,F] :
( ( para(C,D,E,F)
& para(A,B,C,D) )
=> para(A,B,E,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
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(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(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(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(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(f53,axiom,
! [A,B,C,M] :
( ( midp(M,A,C)
& perp(A,B,B,C) )
=> cong(A,M,B,M) ),
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(f58,axiom,
! [A,B,P,Q] :
( ( cyclic(A,B,P,Q)
& cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(P,A,A,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(f69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( ( coll(E,B,M)
& coll(E,A,D)
& coll(F,B,M)
& coll(F,C,A)
& circle(O,A,G,NWPNT3)
& coll(G,B,M)
& coll(M,A,O)
& perp(M,B,A,O)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,C,B)
& coll(D,B,C)
& perp(D,A,B,C)
& perp(A,B,A,C) )
=> cong(E,A,E,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( ( coll(E,B,M)
& coll(E,A,D)
& coll(F,B,M)
& coll(F,C,A)
& circle(O,A,G,NWPNT3)
& coll(G,B,M)
& coll(M,A,O)
& perp(M,B,A,O)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,C,B)
& coll(D,B,C)
& perp(D,A,B,C)
& perp(A,B,A,C) )
=> cong(E,A,E,F) ),
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(f104,plain,
! [A,B,C,D] :
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
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(f108,plain,
! [A,B,C,D,E,F] :
( para(A,B,E,F)
| ~ para(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f109,plain,
! [A,B,E,F] :
( para(A,B,E,F)
| ! [C,D] :
( ~ para(C,D,E,F)
| ~ para(A,B,C,D) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f111,plain,
! [A,B,C,D] :
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
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(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(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(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(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(f220,plain,
! [A,B,C,M] :
( cong(A,M,B,M)
| ~ midp(M,A,C)
| ~ perp(A,B,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f221,plain,
! [A,B,M] :
( cong(A,M,B,M)
| ! [C] :
( ~ midp(M,A,C)
| ~ perp(A,B,B,C) ) ),
inference(miniscoping,[status(thm)],[f220]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f221]) ).
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(f233,plain,
! [A,B,P,Q] :
( perp(P,A,A,Q)
| ~ cyclic(A,B,P,Q)
| ~ cong(A,Q,B,Q)
| ~ cong(A,P,B,P) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f234,plain,
! [A,P,Q] :
( perp(P,A,A,Q)
| ! [B] :
( ~ cyclic(A,B,P,Q)
| ~ cong(A,Q,B,Q)
| ~ cong(A,P,B,P) ) ),
inference(miniscoping,[status(thm)],[f233]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[status(thm)],[f234]) ).
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(f259,plain,
! [A,B,C] :
( cong(A,B,A,C)
| ~ midp(A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f69]) ).
fof(f260,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f259]) ).
fof(f369,plain,
? [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( ~ cong(E,A,E,F)
& coll(E,B,M)
& coll(E,A,D)
& coll(F,B,M)
& coll(F,C,A)
& circle(O,A,G,NWPNT3)
& coll(G,B,M)
& coll(M,A,O)
& perp(M,B,A,O)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,C,B)
& coll(D,B,C)
& perp(D,A,B,C)
& perp(A,B,A,C) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [A,F,E] :
( ~ cong(E,A,E,F)
& ? [B,M] :
( coll(E,B,M)
& ? [D] :
( coll(E,A,D)
& coll(F,B,M)
& ? [C] :
( coll(F,C,A)
& ? [O,G] :
( ? [NWPNT3] : circle(O,A,G,NWPNT3)
& coll(G,B,M)
& coll(M,A,O)
& perp(M,B,A,O)
& ? [NWPNT1,NWPNT2] : circle(O,A,NWPNT1,NWPNT2)
& midp(O,C,B)
& coll(D,B,C)
& perp(D,A,B,C)
& perp(A,B,A,C) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ cong(sK22_skl,sK20_skl,sK22_skl,sK21_skl)
& coll(sK22_skl,sK23_skl,sK24_skl)
& coll(sK22_skl,sK20_skl,sK25_skl)
& coll(sK21_skl,sK23_skl,sK24_skl)
& coll(sK21_skl,sK26_skl,sK20_skl)
& circle(sK27_skl,sK20_skl,sK28_skl,sK31_skl)
& coll(sK28_skl,sK23_skl,sK24_skl)
& coll(sK24_skl,sK20_skl,sK27_skl)
& perp(sK24_skl,sK23_skl,sK20_skl,sK27_skl)
& circle(sK27_skl,sK20_skl,sK29_skl,sK30_skl)
& midp(sK27_skl,sK26_skl,sK23_skl)
& coll(sK25_skl,sK23_skl,sK26_skl)
& perp(sK25_skl,sK20_skl,sK23_skl,sK26_skl)
& perp(sK20_skl,sK23_skl,sK20_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]),skolemize(A,sK20_skl),skolemize(F,sK21_skl),skolemize(E,sK22_skl),skolemize(B,sK23_skl),skolemize(M,sK24_skl),skolemize(D,sK25_skl),skolemize(C,sK26_skl),skolemize(O,sK27_skl),skolemize(G,sK28_skl),skolemize(NWPNT1,sK29_skl),skolemize(NWPNT2,sK30_skl),skolemize(NWPNT3,sK31_skl)],[f370]) ).
fof(f377,plain,
perp(sK24_skl,sK23_skl,sK20_skl,sK27_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f385,plain,
~ cong(sK22_skl,sK20_skl,sK22_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f508,plain,
! [X0,X1] :
( para(X0,X1,sK20_skl,sK27_skl)
| ~ perp(X0,X1,sK24_skl,sK23_skl) ),
inference(resolution,[status(thm)],[f377,f117]) ).
fof(f510,plain,
perp(sK24_skl,sK23_skl,sK27_skl,sK20_skl),
inference(resolution,[status(thm)],[f377,f112]) ).
fof(f589,plain,
perp(sK27_skl,sK20_skl,sK24_skl,sK23_skl),
inference(resolution,[status(thm)],[f510,f114]) ).
fof(f875,plain,
~ midp(sK22_skl,sK20_skl,sK21_skl),
inference(resolution,[status(thm)],[f260,f385]) ).
fof(f946,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(f948,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(f1012,plain,
para(sK27_skl,sK20_skl,sK20_skl,sK27_skl),
inference(resolution,[status(thm)],[f508,f589]) ).
fof(f1097,plain,
para(sK27_skl,sK20_skl,sK27_skl,sK20_skl),
inference(resolution,[status(thm)],[f1012,f105]) ).
fof(f2549,definition,
( sQ117_spl
<=> cyclic(sK20_skl,sK29_skl,sK20_skl,sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f2550,plain,
( ~ sQ117_spl
| cyclic(sK20_skl,sK29_skl,sK20_skl,sK30_skl) ),
inference(component_clause,[status(thm)],[f2549]) ).
fof(f2551,plain,
( sQ117_spl
| ~ cyclic(sK20_skl,sK29_skl,sK20_skl,sK30_skl) ),
inference(component_clause,[status(thm)],[f2549]) ).
fof(f3073,plain,
( ~ sQ117_spl
| perp(sK20_skl,sK20_skl,sK20_skl,sK30_skl)
| ~ cong(sK20_skl,sK30_skl,sK29_skl,sK30_skl)
| ~ cong(sK20_skl,sK20_skl,sK29_skl,sK20_skl) ),
inference(resolution,[status(thm)],[f2550,f235]) ).
fof(f3092,definition,
( sQ201_spl
<=> cong(sK20_skl,sK20_skl,sK29_skl,sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f3094,plain,
( sQ201_spl
| ~ cong(sK20_skl,sK20_skl,sK29_skl,sK20_skl) ),
inference(component_clause,[status(thm)],[f3092]) ).
fof(f3095,definition,
( sQ202_spl
<=> cong(sK20_skl,sK30_skl,sK29_skl,sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ202_spl])],[split_symbol_definition]) ).
fof(f3097,plain,
( sQ202_spl
| ~ cong(sK20_skl,sK30_skl,sK29_skl,sK30_skl) ),
inference(component_clause,[status(thm)],[f3095]) ).
fof(f3098,definition,
( sQ203_spl
<=> perp(sK20_skl,sK20_skl,sK20_skl,sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f3099,plain,
( ~ sQ203_spl
| perp(sK20_skl,sK20_skl,sK20_skl,sK30_skl) ),
inference(component_clause,[status(thm)],[f3098]) ).
fof(f3101,plain,
( ~ sQ117_spl
| sQ203_spl
| ~ sQ202_spl
| ~ sQ201_spl ),
inference(split_clause,[status(thm)],[f3073,f3092,f3095,f3098,f2549]) ).
fof(f3274,definition,
! [X4,X5] :
( sQ219_spl
<=> ~ para(X4,X5,X4,X5) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f3275,plain,
! [X0,X1] :
( ~ sQ219_spl
| ~ para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f3274]) ).
fof(f3322,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f948,f186]) ).
fof(f3329,definition,
! [X2,X3] :
( sQ220_spl
<=> para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f3330,plain,
! [X0,X1] :
( ~ sQ220_spl
| para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f3329]) ).
fof(f3332,plain,
( sQ220_spl
| sQ219_spl ),
inference(split_clause,[status(thm)],[f3322,f3274,f3329]) ).
fof(f3366,plain,
( ~ sQ219_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1097,f3275]) ).
fof(f3374,plain,
~ sQ219_spl,
inference(contradiction_clause,[status(thm)],[f3366]) ).
fof(f3383,plain,
! [X0,X1] :
( ~ sQ220_spl
| coll(X0,X1,X1) ),
inference(resolution,[status(thm)],[f3330,f256]) ).
fof(f3416,plain,
! [X0,X1] :
( ~ sQ220_spl
| coll(X0,X1,X0) ),
inference(resolution,[status(thm)],[f3383,f100]) ).
fof(f3451,plain,
! [X0,X1] :
( ~ sQ220_spl
| coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f3416,f98]) ).
fof(f3456,plain,
! [X0,X1,X2] :
( ~ sQ220_spl
| coll(X1,X2,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f3451,f103]) ).
fof(f3459,plain,
! [X0,X1,X2] :
( ~ sQ220_spl
| coll(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f3456,f3451]) ).
fof(f3519,plain,
! [X0,X1,X2] :
( ~ sQ220_spl
| midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f3459]) ).
fof(f3522,plain,
! [X0,X1,X2,X3] :
( ~ sQ220_spl
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f3459]) ).
fof(f3589,plain,
! [X0,X1] :
( ~ sQ203_spl
| para(X0,X1,sK20_skl,sK30_skl)
| ~ perp(X0,X1,sK20_skl,sK20_skl) ),
inference(resolution,[status(thm)],[f3099,f117]) ).
fof(f3667,plain,
! [X0,X1,X2] :
( ~ sQ220_spl
| ~ para(X1,X0,X1,X0)
| cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f3522,f946]) ).
fof(f3681,plain,
! [X0,X1,X2] :
( ~ sQ220_spl
| cyclic(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f3667,f3330]) ).
fof(f3694,plain,
! [X0,X1,X2,X3] :
( ~ sQ220_spl
| cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f3681,f136]) ).
fof(f3698,plain,
! [X0,X1,X2,X3] :
( ~ sQ220_spl
| cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f3694,f3681]) ).
fof(f3735,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ220_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,f3698]) ).
fof(f3736,plain,
! [X0,X1,X2,X3] :
( ~ sQ220_spl
| eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f3698]) ).
fof(f3738,plain,
! [X0,X1,X2,X3] :
( ~ sQ220_spl
| perp(X1,X0,X0,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f235,f3698]) ).
fof(f3739,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ220_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)],[f3735,f3698]) ).
fof(f3948,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ220_spl
| cong(X1,X2,X4,X5)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f3739,f3698]) ).
fof(f3963,plain,
! [X0,X1] :
( ~ sQ220_spl
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f3736,f3948]) ).
fof(f3978,plain,
! [X0,X1] :
( ~ sQ220_spl
| midp(X0,X1,X1) ),
inference(resolution,[status(thm)],[f3963,f3519]) ).
fof(f3979,plain,
! [X0,X1,X2] :
( ~ sQ220_spl
| perp(X0,X0,X1,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f3963,f232]) ).
fof(f3984,plain,
! [X0,X1,X2] :
( ~ sQ220_spl
| perp(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f3979,f3963]) ).
fof(f3997,plain,
! [X0,X1,X2] :
( ~ sQ220_spl
| perp(X0,X1,X2,X2) ),
inference(resolution,[status(thm)],[f3984,f114]) ).
fof(f4010,plain,
! [X0,X1,X2] :
( ~ sQ220_spl
| perp(X1,X0,X0,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f3738,f3963]) ).
fof(f4013,plain,
! [X0,X1,X2] :
( ~ sQ220_spl
| perp(X0,X1,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f4010,f3963]) ).
fof(f4034,plain,
! [X0,X1,X2,X3] :
( ~ sQ220_spl
| cong(X1,X0,X3,X0)
| ~ midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f4013]) ).
fof(f4190,plain,
! [X0] :
( sQ201_spl
| ~ sQ220_spl
| ~ midp(sK20_skl,sK20_skl,X0) ),
inference(resolution,[status(thm)],[f4034,f3094]) ).
fof(f4191,plain,
! [X0] :
( sQ202_spl
| ~ sQ220_spl
| ~ midp(sK30_skl,sK20_skl,X0) ),
inference(resolution,[status(thm)],[f4034,f3097]) ).
fof(f4200,plain,
( ~ sQ220_spl
| sQ201_spl
| $false ),
inference(resolution,[status(thm)],[f4190,f3978]) ).
fof(f4201,plain,
( ~ sQ220_spl
| sQ201_spl ),
inference(contradiction_clause,[status(thm)],[f4200]) ).
fof(f4202,plain,
( ~ sQ220_spl
| sQ202_spl
| $false ),
inference(resolution,[status(thm)],[f4191,f3978]) ).
fof(f4203,plain,
( ~ sQ220_spl
| sQ202_spl ),
inference(contradiction_clause,[status(thm)],[f4202]) ).
fof(f4204,plain,
( sQ117_spl
| ~ sQ220_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2551,f3698]) ).
fof(f4205,plain,
( sQ117_spl
| ~ sQ220_spl ),
inference(contradiction_clause,[status(thm)],[f4204]) ).
fof(f4206,plain,
! [X0,X1] :
( ~ sQ203_spl
| ~ sQ220_spl
| para(X0,X1,sK20_skl,sK30_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f3589,f3997]) ).
fof(f4274,plain,
! [X0,X1] :
( ~ sQ203_spl
| ~ sQ220_spl
| para(sK20_skl,sK30_skl,X0,X1) ),
inference(resolution,[status(thm)],[f4206,f107]) ).
fof(f4310,plain,
! [X0,X1,X2,X3] :
( ~ sQ203_spl
| ~ sQ220_spl
| para(X0,X1,X2,X3)
| ~ para(X0,X1,sK20_skl,sK30_skl) ),
inference(resolution,[status(thm)],[f4274,f110]) ).
fof(f4313,plain,
! [X0,X1,X2,X3] :
( ~ sQ203_spl
| ~ sQ220_spl
| para(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f4310,f4206]) ).
fof(f4316,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ203_spl
| ~ sQ220_spl
| midp(X0,X4,X3)
| ~ para(X1,X3,X2,X4)
| ~ midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f252,f4313]) ).
fof(f4334,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ203_spl
| ~ sQ220_spl
| midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f4316,f4313]) ).
fof(f4351,plain,
! [X0,X1,X2] :
( ~ sQ220_spl
| ~ sQ203_spl
| midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f4334,f3978]) ).
fof(f4376,plain,
( ~ sQ220_spl
| ~ sQ203_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f875,f4351]) ).
fof(f4411,plain,
( ~ sQ220_spl
| ~ sQ203_spl ),
inference(contradiction_clause,[status(thm)],[f4376]) ).
fof(f4412,plain,
$false,
inference(sat_refutation,[status(thm)],[f3101,f3332,f3374,f4201,f4203,f4205,f4411]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO593+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/20.43 % CPULimit : 300
% 0.08/20.43 % WCLimit : 300
% 0.08/20.43 % DateTime : Sun Sep 20 17:49:32 UTC 2026
% 0.08/20.43 % CPUTime :
% 0.08/20.45 % Drodi V4.1.1
% 0.34/21.15 % Refutation found
% 0.34/21.15 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.34/21.15 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.34/21.16 % Elapsed time: 0.724038 seconds
% 0.34/21.16 % CPU time: 5.451847 seconds
% 0.34/21.16 % Total memory used: 141.634 MB
% 0.34/21.16 % Net memory used: 135.211 MB
%------------------------------------------------------------------------------