%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO642+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 : n010.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 12:25:26 PM UTC 2026
% Result : Theorem 6.04s 1.43s
% Output : CNFRefutation 6.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 21
% Syntax : Number of formulae : 130 ( 37 unt; 0 def)
% Number of atoms : 350 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 345 ( 125 ~; 120 |; 78 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 18 ( 18 usr; 17 con; 0-2 aty)
% Number of variables : 484 ( 447 !; 37 ?)
% 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(f11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
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(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(f64,axiom,
! [A,B,C,D,M] :
( ( midp(M,C,D)
& midp(M,A,B) )
=> para(A,C,B,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [A,B,C] :
( ( coll(A,B,C)
& cong(A,B,A,C) )
=> midp(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,axiom,
! [A,B,C,D,M,N,Q] :
? [P] :
( ( coll(D,A,B)
& coll(C,A,B)
& midp(N,C,D)
& midp(M,A,B) )
=> midp(P,A,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :
( ( coll(F,C,P)
& coll(F,A,D)
& coll(E,B,P)
& coll(E,A,C)
& coll(G,A,D)
& coll(G,B,P)
& circle(C,B,D,NWPNT8)
& circle(O,A,D,NWPNT7)
& circle(C,B,NWPNT5,NWPNT6)
& circle(O,A,P,NWPNT4)
& circle(O,A,C,NWPNT3)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,B,A) )
=> perp(E,F,A,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :
( ( coll(F,C,P)
& coll(F,A,D)
& coll(E,B,P)
& coll(E,A,C)
& coll(G,A,D)
& coll(G,B,P)
& circle(C,B,D,NWPNT8)
& circle(O,A,D,NWPNT7)
& circle(C,B,NWPNT5,NWPNT6)
& circle(O,A,P,NWPNT4)
& circle(O,A,C,NWPNT3)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,B,A) )
=> perp(E,F,A,D) ),
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(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(f128,plain,
! [A,B,C,D] :
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,plain,
! [A,B,C,D] :
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
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(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(f247,plain,
! [A,B,C,D,M] :
( para(A,C,B,D)
| ~ midp(M,C,D)
| ~ midp(M,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f64]) ).
fof(f248,plain,
! [A,B,C,D] :
( para(A,C,B,D)
| ! [M] :
( ~ midp(M,C,D)
| ~ midp(M,A,B) ) ),
inference(miniscoping,[status(thm)],[f247]) ).
fof(f249,plain,
! [X0,X1,X2,X3,X4] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f248]) ).
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(f309,plain,
! [A,B,C,D,M,N,Q] :
? [P] :
( midp(P,A,Q)
| ~ coll(D,A,B)
| ~ coll(C,A,B)
| ~ midp(N,C,D)
| ~ midp(M,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f83]) ).
fof(f310,plain,
! [A] :
( ! [Q] :
? [P] : midp(P,A,Q)
| ! [B,D] :
( ~ coll(D,A,B)
| ! [C] :
( ~ coll(C,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [M] : ~ midp(M,A,B) ) ) ),
inference(miniscoping,[status(thm)],[f309]) ).
fof(f311,plain,
! [A] :
( ! [Q] : midp(sK6_skl(Q,A),A,Q)
| ! [B,D] :
( ~ coll(D,A,B)
| ! [C] :
( ~ coll(C,A,B)
| ! [N] : ~ midp(N,C,D)
| ! [M] : ~ midp(M,A,B) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(P,sK6_skl(Q,A))],[f310]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( midp(sK6_skl(X6,X1),X1,X6)
| ~ coll(X5,X1,X2)
| ~ coll(X4,X1,X2)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f311]) ).
fof(f369,plain,
? [A,B,O,C,P,D,G,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8] :
( ~ perp(E,F,A,D)
& coll(F,C,P)
& coll(F,A,D)
& coll(E,B,P)
& coll(E,A,C)
& coll(G,A,D)
& coll(G,B,P)
& circle(C,B,D,NWPNT8)
& circle(O,A,D,NWPNT7)
& circle(C,B,NWPNT5,NWPNT6)
& circle(O,A,P,NWPNT4)
& circle(O,A,C,NWPNT3)
& circle(O,A,NWPNT1,NWPNT2)
& midp(O,B,A) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [A,D,E,F] :
( ~ perp(E,F,A,D)
& ? [C,P] :
( coll(F,C,P)
& coll(F,A,D)
& ? [B] :
( coll(E,B,P)
& coll(E,A,C)
& ? [G] :
( coll(G,A,D)
& coll(G,B,P)
& ? [NWPNT8] : circle(C,B,D,NWPNT8)
& ? [O] :
( ? [NWPNT7] : circle(O,A,D,NWPNT7)
& ? [NWPNT5,NWPNT6] : circle(C,B,NWPNT5,NWPNT6)
& ? [NWPNT4] : circle(O,A,P,NWPNT4)
& ? [NWPNT3] : circle(O,A,C,NWPNT3)
& ? [NWPNT1,NWPNT2] : circle(O,A,NWPNT1,NWPNT2)
& midp(O,B,A) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl)
& coll(sK23_skl,sK24_skl,sK25_skl)
& coll(sK23_skl,sK20_skl,sK21_skl)
& coll(sK22_skl,sK26_skl,sK25_skl)
& coll(sK22_skl,sK20_skl,sK24_skl)
& coll(sK27_skl,sK20_skl,sK21_skl)
& coll(sK27_skl,sK26_skl,sK25_skl)
& circle(sK24_skl,sK26_skl,sK21_skl,sK36_skl)
& circle(sK28_skl,sK20_skl,sK21_skl,sK35_skl)
& circle(sK24_skl,sK26_skl,sK33_skl,sK34_skl)
& circle(sK28_skl,sK20_skl,sK25_skl,sK32_skl)
& circle(sK28_skl,sK20_skl,sK24_skl,sK31_skl)
& circle(sK28_skl,sK20_skl,sK29_skl,sK30_skl)
& midp(sK28_skl,sK26_skl,sK20_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]),skolemize(A,sK20_skl),skolemize(D,sK21_skl),skolemize(E,sK22_skl),skolemize(F,sK23_skl),skolemize(C,sK24_skl),skolemize(P,sK25_skl),skolemize(B,sK26_skl),skolemize(G,sK27_skl),skolemize(O,sK28_skl),skolemize(NWPNT1,sK29_skl),skolemize(NWPNT2,sK30_skl),skolemize(NWPNT3,sK31_skl),skolemize(NWPNT4,sK32_skl),skolemize(NWPNT5,sK33_skl),skolemize(NWPNT6,sK34_skl),skolemize(NWPNT7,sK35_skl),skolemize(NWPNT8,sK36_skl)],[f370]) ).
fof(f372,plain,
midp(sK28_skl,sK26_skl,sK20_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f385,plain,
~ perp(sK22_skl,sK23_skl,sK20_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f473,plain,
midp(sK28_skl,sK20_skl,sK26_skl),
inference(resolution,[status(thm)],[f122,f372]) ).
fof(f958,plain,
! [X0,X1] :
( para(X0,sK26_skl,X1,sK20_skl)
| ~ midp(sK28_skl,X0,X1) ),
inference(resolution,[status(thm)],[f249,f372]) ).
fof(f968,plain,
para(sK20_skl,sK26_skl,sK26_skl,sK20_skl),
inference(resolution,[status(thm)],[f958,f473]) ).
fof(f988,plain,
para(sK26_skl,sK20_skl,sK20_skl,sK26_skl),
inference(resolution,[status(thm)],[f968,f107]) ).
fof(f989,plain,
para(sK20_skl,sK26_skl,sK20_skl,sK26_skl),
inference(resolution,[status(thm)],[f968,f105]) ).
fof(f1010,plain,
para(sK26_skl,sK20_skl,sK26_skl,sK20_skl),
inference(resolution,[status(thm)],[f988,f105]) ).
fof(f1014,plain,
coll(sK20_skl,sK26_skl,sK26_skl),
inference(resolution,[status(thm)],[f989,f256]) ).
fof(f1020,plain,
coll(sK26_skl,sK20_skl,sK26_skl),
inference(resolution,[status(thm)],[f1014,f100]) ).
fof(f1062,plain,
coll(sK26_skl,sK20_skl,sK20_skl),
inference(resolution,[status(thm)],[f1010,f256]) ).
fof(f1068,plain,
coll(sK20_skl,sK26_skl,sK20_skl),
inference(resolution,[status(thm)],[f1062,f100]) ).
fof(f1072,plain,
coll(sK20_skl,sK20_skl,sK26_skl),
inference(resolution,[status(thm)],[f1068,f98]) ).
fof(f1463,plain,
! [X0,X1,X2,X3] :
( midp(sK6_skl(X3,X1),X1,X3)
| ~ coll(sK20_skl,X1,X2)
| ~ coll(sK26_skl,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f312,f372]) ).
fof(f1496,plain,
! [X0] :
( midp(sK6_skl(X0,sK20_skl),sK20_skl,X0)
| ~ coll(sK20_skl,sK20_skl,sK26_skl)
| ~ coll(sK26_skl,sK20_skl,sK26_skl) ),
inference(resolution,[status(thm)],[f1463,f473]) ).
fof(f1500,plain,
! [X0] :
( midp(sK6_skl(X0,sK20_skl),sK20_skl,X0)
| ~ coll(sK20_skl,sK20_skl,sK26_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f1496,f1020]) ).
fof(f1757,plain,
! [X0] : midp(sK6_skl(X0,sK20_skl),sK20_skl,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1500,f1072]) ).
fof(f1773,plain,
! [X0,X1,X2] :
( para(X1,sK20_skl,X2,X0)
| ~ midp(sK6_skl(X0,sK20_skl),X1,X2) ),
inference(resolution,[status(thm)],[f1757,f249]) ).
fof(f1777,plain,
! [X0] : midp(sK6_skl(X0,sK20_skl),X0,sK20_skl),
inference(resolution,[status(thm)],[f1757,f122]) ).
fof(f4560,plain,
! [X0] : para(sK20_skl,sK20_skl,X0,X0),
inference(resolution,[status(thm)],[f1773,f1757]) ).
fof(f4561,plain,
! [X0] : para(X0,sK20_skl,sK20_skl,X0),
inference(resolution,[status(thm)],[f1773,f1777]) ).
fof(f4585,plain,
! [X0,X1,X2] : eqangle(sK20_skl,sK20_skl,X0,X1,X2,X2,X0,X1),
inference(resolution,[status(thm)],[f4560,f189]) ).
fof(f4623,plain,
! [X0] : para(X0,sK20_skl,X0,sK20_skl),
inference(resolution,[status(thm)],[f4561,f105]) ).
fof(f4688,plain,
! [X0] : coll(X0,sK20_skl,sK20_skl),
inference(resolution,[status(thm)],[f4623,f256]) ).
fof(f4706,plain,
! [X0] : coll(sK20_skl,X0,sK20_skl),
inference(resolution,[status(thm)],[f4688,f100]) ).
fof(f4723,plain,
! [X0] : coll(sK20_skl,sK20_skl,X0),
inference(resolution,[status(thm)],[f4706,f98]) ).
fof(f4726,plain,
! [X0,X1] :
( coll(X0,X1,sK20_skl)
| ~ coll(sK20_skl,sK20_skl,X0) ),
inference(resolution,[status(thm)],[f4723,f103]) ).
fof(f4729,plain,
! [X0,X1] : coll(X0,X1,sK20_skl),
inference(forward_subsumption_resolution,[status(thm)],[f4726,f4723]) ).
fof(f4791,plain,
! [X0,X1] : coll(X0,sK20_skl,X1),
inference(resolution,[status(thm)],[f4729,f98]) ).
fof(f4809,plain,
! [X0,X1,X2] :
( coll(X1,X2,X0)
| ~ coll(X0,sK20_skl,X1) ),
inference(resolution,[status(thm)],[f4791,f103]) ).
fof(f4812,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f4809,f4791]) ).
fof(f4835,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f4812]) ).
fof(f4836,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f4812]) ).
fof(f6213,plain,
! [X0] : cyclic(sK20_skl,X0,sK20_skl,sK20_skl),
inference(resolution,[status(thm)],[f4585,f4835]) ).
fof(f6233,plain,
! [X0] : cyclic(sK20_skl,sK20_skl,X0,sK20_skl),
inference(resolution,[status(thm)],[f6213,f131]) ).
fof(f6254,plain,
! [X0] : cyclic(sK20_skl,sK20_skl,sK20_skl,X0),
inference(resolution,[status(thm)],[f6233,f129]) ).
fof(f6260,plain,
! [X0,X1] :
( cyclic(sK20_skl,sK20_skl,X0,X1)
| ~ cyclic(sK20_skl,sK20_skl,sK20_skl,X0) ),
inference(resolution,[status(thm)],[f6254,f136]) ).
fof(f6264,plain,
! [X0,X1] : cyclic(sK20_skl,sK20_skl,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f6260,f6254]) ).
fof(f6270,plain,
! [X0,X1,X2] :
( cyclic(sK20_skl,X0,X1,X2)
| ~ cyclic(sK20_skl,sK20_skl,X0,X1) ),
inference(resolution,[status(thm)],[f6264,f136]) ).
fof(f6274,plain,
! [X0,X1,X2] : cyclic(sK20_skl,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f6270,f6264]) ).
fof(f6280,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ cyclic(sK20_skl,X0,X1,X2) ),
inference(resolution,[status(thm)],[f6274,f136]) ).
fof(f6284,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f6280,f6274]) ).
fof(f6285,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,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f198,f6284]) ).
fof(f6288,plain,
! [X0,X1,X2,X3] :
( perp(X1,X0,X0,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f235,f6284]) ).
fof(f6290,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2),
inference(backward_subsumption_resolution,[status(thm)],[f191,f6284]) ).
fof(f6291,plain,
! [X0,X1,X2,X3,X4,X5] :
( 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)],[f6285,f6284]) ).
fof(f6292,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X1,X2,X4,X5)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f6291,f6284]) ).
fof(f6625,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f6290,f6292]) ).
fof(f6654,plain,
! [X0,X1,X2] :
( perp(X1,X0,X0,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f6625,f6288]) ).
fof(f6655,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[status(thm)],[f6625,f4836]) ).
fof(f6666,plain,
! [X0,X1,X2] : perp(X0,X1,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f6654,f6625]) ).
fof(f6746,plain,
! [X0,X1,X2,X3] :
( cong(X1,X0,X3,X0)
| ~ midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f6666]) ).
fof(f7037,plain,
! [X0,X1,X2] : cong(X0,X1,X2,X1),
inference(resolution,[status(thm)],[f6746,f6655]) ).
fof(f7038,plain,
! [X0,X1,X2,X3] :
( perp(X0,X2,X3,X1)
| ~ cong(X0,X1,X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f232,f7037]) ).
fof(f7066,plain,
! [X0,X1,X2,X3] : perp(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f7038,f7037]) ).
fof(f7069,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f385,f7066]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO642+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 18:10:24 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 6.04/1.43 % Refutation found
% 6.04/1.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 6.04/1.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.83/1.47 % Elapsed time: 1.079641 seconds
% 4.83/1.47 % CPU time: 8.049279 seconds
% 4.83/1.47 % Total memory used: 166.877 MB
% 4.83/1.47 % Net memory used: 158.063 MB
%------------------------------------------------------------------------------