%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO635+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 12:25:25 PM UTC 2026
% Result : Theorem 0.13s 5.50s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 20
% Syntax : Number of formulae : 125 ( 40 unt; 0 def)
% Number of atoms : 272 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 241 ( 94 ~; 89 |; 37 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 477 ( 459 !; 18 ?)
% 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(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(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(f16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,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(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(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(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(f95,conjecture,
! [A,B,C,D,E,F,G,NWPNT1,NWPNT2] :
( ( coll(G,C,E)
& circle(D,C,G,NWPNT2)
& eqangle(A,C,C,E,F,C,C,B)
& circle(D,A,F,NWPNT1)
& coll(E,A,B)
& circle(D,A,B,C) )
=> para(A,B,G,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,E,F,G,NWPNT1,NWPNT2] :
( ( coll(G,C,E)
& circle(D,C,G,NWPNT2)
& eqangle(A,C,C,E,F,C,C,B)
& circle(D,A,F,NWPNT1)
& coll(E,A,B)
& circle(D,A,B,C) )
=> para(A,B,G,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(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(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(f132,plain,
! [A,B,C,D] :
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
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(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(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(f369,plain,
? [A,B,C,D,E,F,G,NWPNT1,NWPNT2] :
( ~ para(A,B,G,F)
& coll(G,C,E)
& circle(D,C,G,NWPNT2)
& eqangle(A,C,C,E,F,C,C,B)
& circle(D,A,F,NWPNT1)
& coll(E,A,B)
& circle(D,A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [A,B,F,G] :
( ~ para(A,B,G,F)
& ? [C,E] :
( coll(G,C,E)
& ? [D] :
( ? [NWPNT2] : circle(D,C,G,NWPNT2)
& eqangle(A,C,C,E,F,C,C,B)
& ? [NWPNT1] : circle(D,A,F,NWPNT1)
& coll(E,A,B)
& circle(D,A,B,C) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ para(sK20_skl,sK21_skl,sK23_skl,sK22_skl)
& coll(sK23_skl,sK24_skl,sK25_skl)
& circle(sK26_skl,sK24_skl,sK23_skl,sK28_skl)
& eqangle(sK20_skl,sK24_skl,sK24_skl,sK25_skl,sK22_skl,sK24_skl,sK24_skl,sK21_skl)
& circle(sK26_skl,sK20_skl,sK22_skl,sK27_skl)
& coll(sK25_skl,sK20_skl,sK21_skl)
& circle(sK26_skl,sK20_skl,sK21_skl,sK24_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]),skolemize(A,sK20_skl),skolemize(B,sK21_skl),skolemize(F,sK22_skl),skolemize(G,sK23_skl),skolemize(C,sK24_skl),skolemize(E,sK25_skl),skolemize(D,sK26_skl),skolemize(NWPNT1,sK27_skl),skolemize(NWPNT2,sK28_skl)],[f370]) ).
fof(f373,plain,
coll(sK25_skl,sK20_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f375,plain,
eqangle(sK20_skl,sK24_skl,sK24_skl,sK25_skl,sK22_skl,sK24_skl,sK24_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f377,plain,
coll(sK23_skl,sK24_skl,sK25_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f378,plain,
~ para(sK20_skl,sK21_skl,sK23_skl,sK22_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f380,plain,
coll(sK25_skl,sK21_skl,sK20_skl),
inference(resolution,[status(thm)],[f98,f373]) ).
fof(f384,plain,
coll(sK24_skl,sK23_skl,sK25_skl),
inference(resolution,[status(thm)],[f100,f377]) ).
fof(f385,plain,
coll(sK21_skl,sK25_skl,sK20_skl),
inference(resolution,[status(thm)],[f100,f380]) ).
fof(f386,plain,
coll(sK20_skl,sK25_skl,sK21_skl),
inference(resolution,[status(thm)],[f100,f373]) ).
fof(f394,plain,
coll(sK20_skl,sK21_skl,sK25_skl),
inference(resolution,[status(thm)],[f386,f98]) ).
fof(f403,plain,
! [X0] :
( coll(sK25_skl,X0,sK20_skl)
| ~ coll(sK20_skl,sK21_skl,X0) ),
inference(resolution,[status(thm)],[f103,f394]) ).
fof(f404,plain,
! [X0] :
( coll(sK21_skl,X0,sK20_skl)
| ~ coll(sK20_skl,sK25_skl,X0) ),
inference(resolution,[status(thm)],[f103,f386]) ).
fof(f406,plain,
! [X0] :
( coll(sK20_skl,X0,sK21_skl)
| ~ coll(sK21_skl,sK25_skl,X0) ),
inference(resolution,[status(thm)],[f103,f385]) ).
fof(f408,plain,
! [X0] :
( coll(sK25_skl,X0,sK24_skl)
| ~ coll(sK24_skl,sK23_skl,X0) ),
inference(resolution,[status(thm)],[f103,f384]) ).
fof(f415,plain,
coll(sK25_skl,sK25_skl,sK20_skl),
inference(resolution,[status(thm)],[f403,f394]) ).
fof(f416,plain,
! [X0] :
( coll(sK20_skl,X0,sK25_skl)
| ~ coll(sK25_skl,sK25_skl,X0) ),
inference(resolution,[status(thm)],[f415,f103]) ).
fof(f469,plain,
coll(sK20_skl,sK20_skl,sK21_skl),
inference(resolution,[status(thm)],[f406,f385]) ).
fof(f472,plain,
coll(sK20_skl,sK21_skl,sK20_skl),
inference(resolution,[status(thm)],[f469,f98]) ).
fof(f474,plain,
! [X0] :
( coll(sK20_skl,X0,sK20_skl)
| ~ coll(sK20_skl,sK21_skl,X0) ),
inference(resolution,[status(thm)],[f472,f103]) ).
fof(f513,plain,
coll(sK25_skl,sK25_skl,sK24_skl),
inference(resolution,[status(thm)],[f408,f384]) ).
fof(f561,plain,
coll(sK20_skl,sK24_skl,sK25_skl),
inference(resolution,[status(thm)],[f416,f513]) ).
fof(f567,plain,
coll(sK20_skl,sK25_skl,sK24_skl),
inference(resolution,[status(thm)],[f561,f98]) ).
fof(f574,plain,
coll(sK21_skl,sK24_skl,sK20_skl),
inference(resolution,[status(thm)],[f567,f404]) ).
fof(f591,plain,
coll(sK21_skl,sK20_skl,sK24_skl),
inference(resolution,[status(thm)],[f574,f98]) ).
fof(f600,plain,
eqangle(sK22_skl,sK24_skl,sK24_skl,sK21_skl,sK20_skl,sK24_skl,sK24_skl,sK25_skl),
inference(resolution,[status(thm)],[f142,f375]) ).
fof(f621,plain,
coll(sK20_skl,sK21_skl,sK24_skl),
inference(resolution,[status(thm)],[f591,f100]) ).
fof(f657,plain,
! [X0,X1,X2,X3] :
( eqangle(sK20_skl,sK24_skl,sK24_skl,sK25_skl,X0,X1,X2,X3)
| ~ eqangle(sK22_skl,sK24_skl,sK24_skl,sK21_skl,X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f147,f375]) ).
fof(f844,plain,
coll(sK20_skl,sK24_skl,sK20_skl),
inference(resolution,[status(thm)],[f474,f621]) ).
fof(f853,plain,
coll(sK20_skl,sK20_skl,sK24_skl),
inference(resolution,[status(thm)],[f844,f98]) ).
fof(f1280,plain,
eqangle(sK20_skl,sK24_skl,sK24_skl,sK25_skl,sK20_skl,sK24_skl,sK24_skl,sK25_skl),
inference(resolution,[status(thm)],[f657,f600]) ).
fof(f1505,plain,
para(sK20_skl,sK24_skl,sK20_skl,sK24_skl),
inference(resolution,[status(thm)],[f1280,f186]) ).
fof(f1511,plain,
! [X0,X1] : eqangle(sK20_skl,sK24_skl,X0,X1,sK20_skl,sK24_skl,X0,X1),
inference(resolution,[status(thm)],[f1505,f189]) ).
fof(f1546,plain,
! [X0,X1] : eqangle(X0,X1,sK20_skl,sK24_skl,X0,X1,sK20_skl,sK24_skl),
inference(resolution,[status(thm)],[f1511,f140]) ).
fof(f1586,plain,
! [X0] :
( cyclic(X0,sK24_skl,sK20_skl,sK20_skl)
| ~ coll(sK20_skl,sK20_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f1546,f195]) ).
fof(f1595,plain,
! [X0] : cyclic(X0,sK24_skl,sK20_skl,sK20_skl),
inference(forward_subsumption_resolution,[status(thm)],[f1586,f853]) ).
fof(f1886,plain,
! [X0] : cyclic(sK24_skl,X0,sK20_skl,sK20_skl),
inference(resolution,[status(thm)],[f1595,f133]) ).
fof(f1892,plain,
! [X0] : cyclic(sK24_skl,sK20_skl,X0,sK20_skl),
inference(resolution,[status(thm)],[f1886,f131]) ).
fof(f1903,plain,
! [X0] : cyclic(sK24_skl,sK20_skl,sK20_skl,X0),
inference(resolution,[status(thm)],[f1892,f129]) ).
fof(f1925,plain,
! [X0,X1] :
( cyclic(sK20_skl,sK20_skl,X1,X0)
| ~ cyclic(sK24_skl,sK20_skl,sK20_skl,X0) ),
inference(resolution,[status(thm)],[f1903,f136]) ).
fof(f1929,plain,
! [X0,X1] : cyclic(sK20_skl,sK20_skl,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f1925,f1903]) ).
fof(f1931,plain,
! [X0,X1,X2] :
( cyclic(sK20_skl,X0,X2,X1)
| ~ cyclic(sK20_skl,sK20_skl,X0,X1) ),
inference(resolution,[status(thm)],[f1929,f136]) ).
fof(f1935,plain,
! [X0,X1,X2] : cyclic(sK20_skl,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f1931,f1929]) ).
fof(f1937,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(sK20_skl,X0,X1,X2) ),
inference(resolution,[status(thm)],[f1935,f136]) ).
fof(f1941,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f1937,f1935]) ).
fof(f1944,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,f1941]) ).
fof(f1945,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2),
inference(backward_subsumption_resolution,[status(thm)],[f191,f1941]) ).
fof(f1946,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)],[f1944,f1941]) ).
fof(f2002,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X1,X2,X3,X0,X3,X2),
inference(resolution,[status(thm)],[f1945,f138]) ).
fof(f2093,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X0,X3,X1,X3,X2),
inference(resolution,[status(thm)],[f2002,f140]) ).
fof(f2358,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)],[f1946,f1941]) ).
fof(f2361,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f2358,f2093]) ).
fof(f2392,plain,
! [X0,X1,X2] :
( perp(X0,X0,X2,X1)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f2361,f232]) ).
fof(f2399,plain,
! [X0,X1,X2] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f2392,f2361]) ).
fof(f2418,plain,
! [X0,X1,X2] : perp(X0,X1,X2,X2),
inference(resolution,[status(thm)],[f2399,f114]) ).
fof(f2436,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2418,f117]) ).
fof(f2439,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f2436,f2399]) ).
fof(f2450,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f378,f2439]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO635+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n010.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sun Sep 20 18:10:02 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.39 % Drodi V4.1.1
% 0.13/5.50 % Refutation found
% 0.13/5.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/5.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.53 % Elapsed time: 0.129947 seconds
% 0.13/5.53 % CPU time: 0.802897 seconds
% 0.13/5.53 % Total memory used: 94.697 MB
% 0.13/5.53 % Net memory used: 93.474 MB
%------------------------------------------------------------------------------