%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO608+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 : n019.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 12:25:21 PM UTC 2026
% Result : Theorem 0.09s 0.51s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 24
% Syntax : Number of formulae : 137 ( 37 unt; 0 def)
% Number of atoms : 319 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 298 ( 116 ~; 111 |; 46 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 482 ( 460 !; 22 ?)
% 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(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(f11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
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(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(f25,axiom,
! [A,B,C,D,E,F] :
( ( cong(C,D,E,F)
& cong(A,B,C,D) )
=> cong(A,B,E,F) ),
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(f45,axiom,
! [A,B,C,E,F] :
( ( midp(F,A,C)
& midp(E,A,B) )
=> para(E,F,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [A,B,C,E,F] :
( ( coll(F,A,C)
& para(E,F,B,C)
& midp(E,A,B) )
=> midp(F,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [A,B,C,O] :
( ( coll(O,A,C)
& circle(O,A,B,C) )
=> perp(A,B,B,C) ),
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(f69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( para(P,Q,U,V)
& eqangle(A,B,C,D,P,Q,U,V) )
=> para(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( circle(O1,P,A1,B1)
& circle(O,A,B1,NWPNT4)
& coll(B1,P,B)
& circle(O,A,A1,NWPNT3)
& coll(A1,P,A)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,B,A) )
=> perp(O,A1,A1,O1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( circle(O1,P,A1,B1)
& circle(O,A,B1,NWPNT4)
& coll(B1,P,B)
& circle(O,A,A1,NWPNT3)
& coll(A1,P,A)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,B,A) )
=> perp(O,A1,A1,O1) ),
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(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(f121,plain,
! [A,B,M] :
( midp(M,A,B)
| ~ midp(M,B,A) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f122,plain,
! [X0,X1,X2] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
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(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(f152,plain,
! [A,B,C,D,E,F] :
( cong(A,B,E,F)
| ~ cong(C,D,E,F)
| ~ cong(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f153,plain,
! [A,B,E,F] :
( cong(A,B,E,F)
| ! [C,D] :
( ~ cong(C,D,E,F)
| ~ cong(A,B,C,D) ) ),
inference(miniscoping,[status(thm)],[f152]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f153]) ).
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(f199,plain,
! [A,B,C,E,F] :
( para(E,F,B,C)
| ~ midp(F,A,C)
| ~ midp(E,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f200,plain,
! [B,C,E,F] :
( para(E,F,B,C)
| ! [A] :
( ~ midp(F,A,C)
| ~ midp(E,A,B) ) ),
inference(miniscoping,[status(thm)],[f199]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
! [A,B,C,E,F] :
( midp(F,A,C)
| ~ coll(F,A,C)
| ~ para(E,F,B,C)
| ~ midp(E,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f203,plain,
! [A,C,F] :
( midp(F,A,C)
| ~ coll(F,A,C)
| ! [B,E] :
( ~ para(E,F,B,C)
| ~ midp(E,A,B) ) ),
inference(miniscoping,[status(thm)],[f202]) ).
fof(f204,plain,
! [X0,X1,X2,X3,X4] :
( midp(X3,X1,X4)
| ~ coll(X3,X1,X4)
| ~ para(X0,X3,X2,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f223,plain,
! [A,B,C,O] :
( perp(A,B,B,C)
| ~ coll(O,A,C)
| ~ circle(O,A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f224,plain,
! [A,B,C] :
( perp(A,B,B,C)
| ! [O] :
( ~ coll(O,A,C)
| ~ circle(O,A,B,C) ) ),
inference(miniscoping,[status(thm)],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
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(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(f261,plain,
! [A,B,C] :
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f70]) ).
fof(f262,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f269,plain,
! [A,B,C,D,P,Q,U,V] :
( para(A,B,C,D)
| ~ para(P,Q,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(thm)],[f74]) ).
fof(f270,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q,U,V] :
( ~ para(P,Q,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ) ),
inference(miniscoping,[status(thm)],[f269]) ).
fof(f271,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f369,plain,
? [P,A,B,O,A1,B1,O1,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ~ perp(O,A1,A1,O1)
& circle(O1,P,A1,B1)
& circle(O,A,B1,NWPNT4)
& coll(B1,P,B)
& circle(O,A,A1,NWPNT3)
& coll(A1,P,A)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,B,A) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [O,A1,O1] :
( ~ perp(O,A1,A1,O1)
& ? [P,B1] :
( circle(O1,P,A1,B1)
& ? [A] :
( ? [NWPNT4] : circle(O,A,B1,NWPNT4)
& ? [B] :
( coll(B1,P,B)
& ? [NWPNT3] : circle(O,A,A1,NWPNT3)
& coll(A1,P,A)
& ? [NWPNT1,NWPNT2] : circle(O,A,NWPNT1,NWPNT2)
& midp(O,B,A) ) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ perp(sK20_skl,sK21_skl,sK21_skl,sK22_skl)
& circle(sK22_skl,sK23_skl,sK21_skl,sK24_skl)
& circle(sK20_skl,sK25_skl,sK24_skl,sK30_skl)
& coll(sK24_skl,sK23_skl,sK26_skl)
& circle(sK20_skl,sK25_skl,sK21_skl,sK29_skl)
& coll(sK21_skl,sK23_skl,sK25_skl)
& circle(sK20_skl,sK25_skl,sK27_skl,sK28_skl)
& midp(sK20_skl,sK26_skl,sK25_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]),skolemize(O,sK20_skl),skolemize(A1,sK21_skl),skolemize(O1,sK22_skl),skolemize(P,sK23_skl),skolemize(B1,sK24_skl),skolemize(A,sK25_skl),skolemize(B,sK26_skl),skolemize(NWPNT1,sK27_skl),skolemize(NWPNT2,sK28_skl),skolemize(NWPNT3,sK29_skl),skolemize(NWPNT4,sK30_skl)],[f370]) ).
fof(f372,plain,
midp(sK20_skl,sK26_skl,sK25_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f379,plain,
~ perp(sK20_skl,sK21_skl,sK21_skl,sK22_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f416,plain,
midp(sK20_skl,sK25_skl,sK26_skl),
inference(resolution,[status(thm)],[f122,f372]) ).
fof(f418,plain,
coll(sK20_skl,sK25_skl,sK26_skl),
inference(resolution,[status(thm)],[f262,f416]) ).
fof(f419,plain,
coll(sK20_skl,sK26_skl,sK25_skl),
inference(resolution,[status(thm)],[f262,f372]) ).
fof(f420,plain,
! [X0] :
( coll(sK26_skl,X0,sK20_skl)
| ~ coll(sK20_skl,sK25_skl,X0) ),
inference(resolution,[status(thm)],[f418,f103]) ).
fof(f423,plain,
! [X0] :
( coll(sK25_skl,X0,sK20_skl)
| ~ coll(sK20_skl,sK26_skl,X0) ),
inference(resolution,[status(thm)],[f419,f103]) ).
fof(f438,plain,
cong(sK20_skl,sK25_skl,sK20_skl,sK26_skl),
inference(resolution,[status(thm)],[f260,f416]) ).
fof(f439,plain,
cong(sK20_skl,sK26_skl,sK20_skl,sK25_skl),
inference(resolution,[status(thm)],[f260,f372]) ).
fof(f616,plain,
coll(sK26_skl,sK26_skl,sK20_skl),
inference(resolution,[status(thm)],[f420,f418]) ).
fof(f619,plain,
coll(sK26_skl,sK20_skl,sK26_skl),
inference(resolution,[status(thm)],[f616,f98]) ).
fof(f621,plain,
coll(sK20_skl,sK26_skl,sK26_skl),
inference(resolution,[status(thm)],[f619,f100]) ).
fof(f627,plain,
coll(sK25_skl,sK25_skl,sK20_skl),
inference(resolution,[status(thm)],[f423,f419]) ).
fof(f630,plain,
coll(sK25_skl,sK20_skl,sK25_skl),
inference(resolution,[status(thm)],[f627,f98]) ).
fof(f632,plain,
coll(sK20_skl,sK25_skl,sK25_skl),
inference(resolution,[status(thm)],[f630,f100]) ).
fof(f888,plain,
! [X0,X1] :
( cong(sK20_skl,sK26_skl,X0,X1)
| ~ cong(sK20_skl,sK25_skl,X0,X1) ),
inference(resolution,[status(thm)],[f154,f439]) ).
fof(f1762,plain,
! [X0,X1] :
( para(sK20_skl,X0,sK25_skl,X1)
| ~ midp(X0,sK26_skl,X1) ),
inference(resolution,[status(thm)],[f201,f372]) ).
fof(f1799,plain,
para(sK20_skl,sK20_skl,sK25_skl,sK25_skl),
inference(resolution,[status(thm)],[f1762,f372]) ).
fof(f1800,plain,
! [X0,X1] : eqangle(sK20_skl,sK20_skl,X0,X1,sK25_skl,sK25_skl,X0,X1),
inference(resolution,[status(thm)],[f1799,f189]) ).
fof(f1871,plain,
cong(sK20_skl,sK26_skl,sK20_skl,sK26_skl),
inference(resolution,[status(thm)],[f888,f438]) ).
fof(f1878,plain,
( midp(sK20_skl,sK26_skl,sK26_skl)
| ~ coll(sK20_skl,sK26_skl,sK26_skl) ),
inference(resolution,[status(thm)],[f1871,f258]) ).
fof(f1885,plain,
midp(sK20_skl,sK26_skl,sK26_skl),
inference(forward_subsumption_resolution,[status(thm)],[f1878,f621]) ).
fof(f1886,plain,
para(sK20_skl,sK20_skl,sK25_skl,sK26_skl),
inference(resolution,[status(thm)],[f1885,f1762]) ).
fof(f1908,plain,
para(sK20_skl,sK20_skl,sK26_skl,sK25_skl),
inference(resolution,[status(thm)],[f1886,f105]) ).
fof(f1960,plain,
! [X0,X1] :
( midp(X0,sK25_skl,X1)
| ~ coll(X0,sK25_skl,X1)
| ~ para(sK20_skl,X0,sK26_skl,X1) ),
inference(resolution,[status(thm)],[f204,f416]) ).
fof(f2077,plain,
( midp(sK20_skl,sK25_skl,sK25_skl)
| ~ coll(sK20_skl,sK25_skl,sK25_skl) ),
inference(resolution,[status(thm)],[f1960,f1908]) ).
fof(f2079,plain,
midp(sK20_skl,sK25_skl,sK25_skl),
inference(forward_subsumption_resolution,[status(thm)],[f2077,f632]) ).
fof(f2539,plain,
! [X0,X1] : eqangle(sK20_skl,sK20_skl,sK25_skl,sK25_skl,X0,X1,X0,X1),
inference(resolution,[status(thm)],[f1800,f144]) ).
fof(f2643,plain,
! [X0,X1] :
( midp(sK20_skl,X0,X1)
| ~ para(sK25_skl,X1,sK25_skl,X0)
| ~ para(sK25_skl,X0,sK25_skl,X1) ),
inference(resolution,[status(thm)],[f252,f2079]) ).
fof(f2644,plain,
! [X0,X1] :
( midp(sK20_skl,X0,X1)
| ~ para(sK25_skl,X1,sK26_skl,X0)
| ~ para(sK25_skl,X0,sK26_skl,X1) ),
inference(resolution,[status(thm)],[f252,f416]) ).
fof(f2649,plain,
! [X0,X1] :
( midp(sK20_skl,X1,X0)
| ~ para(sK25_skl,X0,sK25_skl,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2643,f107]) ).
fof(f2846,plain,
! [X0,X1] : eqangle(X0,X1,X0,X1,sK20_skl,sK20_skl,sK25_skl,sK25_skl),
inference(resolution,[status(thm)],[f2539,f142]) ).
fof(f3153,plain,
! [X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(sK20_skl,sK20_skl,sK25_skl,sK25_skl) ),
inference(resolution,[status(thm)],[f271,f2846]) ).
fof(f3154,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f3153,f1799]) ).
fof(f3195,plain,
! [X0] : midp(sK20_skl,X0,X0),
inference(resolution,[status(thm)],[f3154,f2649]) ).
fof(f3206,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f3154,f256]) ).
fof(f3418,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[status(thm)],[f3206,f100]) ).
fof(f3602,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[status(thm)],[f3418,f98]) ).
fof(f3633,plain,
! [X0,X1,X2] :
( coll(X2,X1,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f3602,f103]) ).
fof(f3636,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3633,f3602]) ).
fof(f3643,plain,
! [X0,X1,X2,X3] :
( perp(X1,X2,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f225,f3636]) ).
fof(f3666,plain,
! [X0] : cong(sK20_skl,X0,sK20_skl,X0),
inference(resolution,[status(thm)],[f3195,f260]) ).
fof(f3774,plain,
! [X0,X1] :
( perp(sK20_skl,sK20_skl,X1,X0)
| ~ cong(sK20_skl,X0,sK20_skl,X0) ),
inference(resolution,[status(thm)],[f3666,f232]) ).
fof(f3781,plain,
! [X0,X1] : perp(sK20_skl,sK20_skl,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f3774,f3666]) ).
fof(f3826,plain,
! [X0,X1] : perp(X0,X1,sK20_skl,sK20_skl),
inference(resolution,[status(thm)],[f3781,f114]) ).
fof(f3898,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ perp(sK20_skl,sK20_skl,X0,X1) ),
inference(resolution,[status(thm)],[f3826,f117]) ).
fof(f3901,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f3898,f3781]) ).
fof(f3902,plain,
! [X0,X1] :
( midp(sK20_skl,X0,X1)
| ~ para(sK25_skl,X0,sK26_skl,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2644,f3901]) ).
fof(f3914,plain,
! [X0,X1] : midp(sK20_skl,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f3902,f3901]) ).
fof(f3924,plain,
! [X0,X1] : cong(sK20_skl,X0,sK20_skl,X1),
inference(resolution,[status(thm)],[f3914,f260]) ).
fof(f4000,plain,
! [X0,X1,X2] :
( circle(sK20_skl,X0,X2,X1)
| ~ cong(sK20_skl,X0,sK20_skl,X1) ),
inference(resolution,[status(thm)],[f3924,f124]) ).
fof(f4005,plain,
! [X0,X1,X2] : circle(sK20_skl,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f4000,f3924]) ).
fof(f4006,plain,
! [X0,X1,X2] : perp(X0,X1,X1,X2),
inference(resolution,[status(thm)],[f4005,f3643]) ).
fof(f4016,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f379,f4006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO608+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 : n019.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 17:50:04 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.51 % Refutation found
% 0.09/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.53 % Elapsed time: 0.160972 seconds
% 0.09/0.53 % CPU time: 1.019029 seconds
% 0.09/0.53 % Total memory used: 98.204 MB
% 0.09/0.53 % Net memory used: 96.727 MB
%------------------------------------------------------------------------------