%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO619+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:25:23 PM UTC 2026
% Result : Theorem 5.40s 1.29s
% Output : CNFRefutation 5.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 23
% Syntax : Number of formulae : 121 ( 10 unt; 2 def)
% Number of atoms : 350 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 376 ( 147 ~; 139 |; 66 &)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 489 ( 465 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [A,B,M,O] :
( ( perp(O,M,A,B)
& midp(M,A,B) )
=> cong(O,A,O,B) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( circle(F,E,H,NWPNT4)
& coll(H,C,D)
& circle(F,E,G,NWPNT3)
& coll(G,C,E)
& circle(F,E,NWPNT1,NWPNT2)
& midp(F,D,E)
& coll(E,A,B)
& eqangle(E,C,C,A,A,C,C,D)
& coll(D,A,B)
& cong(A,C,B,C)
& perp(C,A,C,B) )
=> cong(D,G,D,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( circle(F,E,H,NWPNT4)
& coll(H,C,D)
& circle(F,E,G,NWPNT3)
& coll(G,C,E)
& circle(F,E,NWPNT1,NWPNT2)
& midp(F,D,E)
& coll(E,A,B)
& eqangle(E,C,C,A,A,C,C,D)
& coll(D,A,B)
& cong(A,C,B,C)
& perp(C,A,C,B) )
=> cong(D,G,D,H) ),
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(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(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(f228,plain,
! [A,B,M,O] :
( cong(O,A,O,B)
| ~ perp(O,M,A,B)
| ~ midp(M,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f229,plain,
! [A,B,O] :
( cong(O,A,O,B)
| ! [M] :
( ~ perp(O,M,A,B)
| ~ midp(M,A,B) ) ),
inference(miniscoping,[status(thm)],[f228]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( cong(X3,X1,X3,X2)
| ~ perp(X3,X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
fof(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(f255,plain,
! [A,B,C] :
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(pre_NNF_transformation,[status(thm)],[f67]) ).
fof(f256,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f257,plain,
! [A,B,C] :
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f258,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f369,plain,
? [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ~ cong(D,G,D,H)
& circle(F,E,H,NWPNT4)
& coll(H,C,D)
& circle(F,E,G,NWPNT3)
& coll(G,C,E)
& circle(F,E,NWPNT1,NWPNT2)
& midp(F,D,E)
& coll(E,A,B)
& eqangle(E,C,C,A,A,C,C,D)
& coll(D,A,B)
& cong(A,C,B,C)
& perp(C,A,C,B) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [D,G,H] :
( ~ cong(D,G,D,H)
& ? [E,F] :
( ? [NWPNT4] : circle(F,E,H,NWPNT4)
& ? [C] :
( coll(H,C,D)
& ? [NWPNT3] : circle(F,E,G,NWPNT3)
& coll(G,C,E)
& ? [NWPNT1,NWPNT2] : circle(F,E,NWPNT1,NWPNT2)
& midp(F,D,E)
& ? [A,B] :
( coll(E,A,B)
& eqangle(E,C,C,A,A,C,C,D)
& coll(D,A,B)
& cong(A,C,B,C)
& perp(C,A,C,B) ) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ cong(sK20_skl,sK21_skl,sK20_skl,sK22_skl)
& circle(sK24_skl,sK23_skl,sK22_skl,sK31_skl)
& coll(sK22_skl,sK25_skl,sK20_skl)
& circle(sK24_skl,sK23_skl,sK21_skl,sK30_skl)
& coll(sK21_skl,sK25_skl,sK23_skl)
& circle(sK24_skl,sK23_skl,sK28_skl,sK29_skl)
& midp(sK24_skl,sK20_skl,sK23_skl)
& coll(sK23_skl,sK26_skl,sK27_skl)
& eqangle(sK23_skl,sK25_skl,sK25_skl,sK26_skl,sK26_skl,sK25_skl,sK25_skl,sK20_skl)
& coll(sK20_skl,sK26_skl,sK27_skl)
& cong(sK26_skl,sK25_skl,sK27_skl,sK25_skl)
& perp(sK25_skl,sK26_skl,sK25_skl,sK27_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(D,sK20_skl),skolemize(G,sK21_skl),skolemize(H,sK22_skl),skolemize(E,sK23_skl),skolemize(F,sK24_skl),skolemize(C,sK25_skl),skolemize(A,sK26_skl),skolemize(B,sK27_skl),skolemize(NWPNT1,sK28_skl),skolemize(NWPNT2,sK29_skl),skolemize(NWPNT3,sK30_skl),skolemize(NWPNT4,sK31_skl)],[f370]) ).
fof(f372,plain,
perp(sK25_skl,sK26_skl,sK25_skl,sK27_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f383,plain,
~ cong(sK20_skl,sK21_skl,sK20_skl,sK22_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f482,plain,
perp(sK25_skl,sK27_skl,sK25_skl,sK26_skl),
inference(resolution,[status(thm)],[f114,f372]) ).
fof(f486,plain,
perp(sK25_skl,sK27_skl,sK26_skl,sK25_skl),
inference(resolution,[status(thm)],[f482,f112]) ).
fof(f491,plain,
perp(sK26_skl,sK25_skl,sK25_skl,sK27_skl),
inference(resolution,[status(thm)],[f486,f114]) ).
fof(f525,plain,
! [X0,X1] :
( para(X0,X1,sK25_skl,sK26_skl)
| ~ perp(X0,X1,sK25_skl,sK27_skl) ),
inference(resolution,[status(thm)],[f117,f482]) ).
fof(f1345,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(f1347,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(f2374,plain,
para(sK26_skl,sK25_skl,sK25_skl,sK26_skl),
inference(resolution,[status(thm)],[f525,f491]) ).
fof(f2623,plain,
para(sK26_skl,sK25_skl,sK26_skl,sK25_skl),
inference(resolution,[status(thm)],[f2374,f105]) ).
fof(f4948,definition,
! [X4,X5] :
( sQ159_spl
<=> ~ para(X4,X5,X4,X5) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f4949,plain,
! [X0,X1] :
( ~ sQ159_spl
| ~ para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f4948]) ).
fof(f5188,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f1347,f186]) ).
fof(f5199,definition,
! [X2,X3] :
( sQ165_spl
<=> para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ165_spl])],[split_symbol_definition]) ).
fof(f5200,plain,
! [X0,X1] :
( ~ sQ165_spl
| para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f5199]) ).
fof(f5202,plain,
( sQ165_spl
| sQ159_spl ),
inference(split_clause,[status(thm)],[f5188,f4948,f5199]) ).
fof(f5204,plain,
( ~ sQ159_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2623,f4949]) ).
fof(f5210,plain,
~ sQ159_spl,
inference(contradiction_clause,[status(thm)],[f5204]) ).
fof(f5214,plain,
! [X0,X1] :
( ~ sQ165_spl
| coll(X0,X1,X1) ),
inference(resolution,[status(thm)],[f5200,f256]) ).
fof(f5217,plain,
! [X0,X1] :
( ~ sQ165_spl
| para(X0,X1,X1,X0) ),
inference(resolution,[status(thm)],[f5200,f105]) ).
fof(f5283,plain,
! [X0,X1] :
( ~ sQ165_spl
| coll(X0,X1,X0) ),
inference(resolution,[status(thm)],[f5214,f100]) ).
fof(f5351,plain,
! [X0,X1] :
( ~ sQ165_spl
| coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f5283,f98]) ).
fof(f5369,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| coll(X1,X2,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f5351,f103]) ).
fof(f5372,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| coll(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f5369,f5351]) ).
fof(f5375,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ165_spl
| midp(X3,X1,X4)
| ~ para(X0,X3,X2,X4)
| ~ midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f204,f5372]) ).
fof(f5376,plain,
! [X0,X1,X2,X3] :
( ~ sQ165_spl
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f5372]) ).
fof(f5377,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f5372]) ).
fof(f5554,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| midp(X2,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f5375,f5217]) ).
fof(f5558,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| ~ para(X1,X0,X1,X0)
| cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f5376,f1345]) ).
fof(f5574,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| cyclic(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f5558,f5200]) ).
fof(f5594,plain,
! [X0,X1,X2,X3] :
( ~ sQ165_spl
| cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f5574,f136]) ).
fof(f5598,plain,
! [X0,X1,X2,X3] :
( ~ sQ165_spl
| cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f5594,f5574]) ).
fof(f5606,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ165_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,f5598]) ).
fof(f5607,plain,
! [X0,X1,X2,X3] :
( ~ sQ165_spl
| eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f5598]) ).
fof(f5609,plain,
! [X0,X1,X2,X3] :
( ~ sQ165_spl
| perp(X1,X0,X0,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f235,f5598]) ).
fof(f5610,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ165_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)],[f5606,f5598]) ).
fof(f6286,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ165_spl
| cong(X1,X2,X4,X5)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f5610,f5598]) ).
fof(f6288,plain,
! [X0,X1] :
( ~ sQ165_spl
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f6286,f5607]) ).
fof(f6388,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| perp(X1,X0,X0,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f6288,f5609]) ).
fof(f6389,plain,
! [X0,X1] :
( ~ sQ165_spl
| midp(X0,X1,X1) ),
inference(resolution,[status(thm)],[f6288,f5377]) ).
fof(f6397,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| perp(X0,X1,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f6388,f6288]) ).
fof(f6399,plain,
! [X0,X1] :
( ~ sQ165_spl
| midp(X0,X0,X1) ),
inference(resolution,[status(thm)],[f6389,f5554]) ).
fof(f6506,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| cong(X2,X0,X2,X1)
| ~ midp(X0,X0,X1) ),
inference(resolution,[status(thm)],[f6397,f230]) ).
fof(f6511,plain,
! [X0,X1,X2] :
( ~ sQ165_spl
| cong(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f6506,f6399]) ).
fof(f6562,plain,
( ~ sQ165_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f383,f6511]) ).
fof(f6574,plain,
~ sQ165_spl,
inference(contradiction_clause,[status(thm)],[f6562]) ).
fof(f6575,plain,
$false,
inference(sat_refutation,[status(thm)],[f5202,f5210,f6574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO619+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.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 18:01:22 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 5.40/1.29 % Refutation found
% 5.40/1.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.40/1.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.50/1.32 % Elapsed time: 0.939387 seconds
% 0.50/1.32 % CPU time: 7.004690 seconds
% 0.50/1.32 % Total memory used: 154.758 MB
% 0.50/1.32 % Net memory used: 145.861 MB
%------------------------------------------------------------------------------