%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO596+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 12:25:20 PM UTC 2026
% Result : Theorem 1.20s 0.63s
% Output : CNFRefutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 28
% Syntax : Number of formulae : 148 ( 14 unt; 3 def)
% Number of atoms : 382 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 404 ( 170 ~; 162 |; 43 &)
% ( 3 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 4 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 615 ( 599 !; 16 ?)
% 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(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox/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/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(f14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
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(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/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(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/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(f53,axiom,
! [A,B,C,M] :
( ( midp(M,A,C)
& perp(A,B,B,C) )
=> cong(A,M,B,M) ),
file('/export/starexec/sandbox/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/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(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/sandbox/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,D,E,F,G,NWPNT1] :
( ( coll(G,B,C)
& para(A,E,G,F)
& coll(F,C,E)
& coll(F,A,B)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) )
=> eqangle(G,F,F,B,F,C,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,E,F,G,NWPNT1] :
( ( coll(G,B,C)
& para(A,E,G,F)
& coll(F,C,E)
& coll(F,A,B)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) )
=> eqangle(G,F,F,B,F,C,C,B) ),
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(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(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(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(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(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(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(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,
? [A,B,C,D,E,F,G,NWPNT1] :
( ~ eqangle(G,F,F,B,F,C,C,B)
& coll(G,B,C)
& para(A,E,G,F)
& coll(F,C,E)
& coll(F,A,B)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [B,C,F,G] :
( ~ eqangle(G,F,F,B,F,C,C,B)
& coll(G,B,C)
& ? [A,E] :
( para(A,E,G,F)
& coll(F,C,E)
& coll(F,A,B)
& ? [D] :
( ? [NWPNT1] : circle(D,A,E,NWPNT1)
& circle(D,A,B,C) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ eqangle(sK23_skl,sK22_skl,sK22_skl,sK20_skl,sK22_skl,sK21_skl,sK21_skl,sK20_skl)
& coll(sK23_skl,sK20_skl,sK21_skl)
& para(sK24_skl,sK25_skl,sK23_skl,sK22_skl)
& coll(sK22_skl,sK21_skl,sK25_skl)
& coll(sK22_skl,sK24_skl,sK20_skl)
& circle(sK26_skl,sK24_skl,sK25_skl,sK27_skl)
& circle(sK26_skl,sK24_skl,sK20_skl,sK21_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(F,sK22_skl),skolemize(G,sK23_skl),skolemize(A,sK24_skl),skolemize(E,sK25_skl),skolemize(D,sK26_skl),skolemize(NWPNT1,sK27_skl)],[f370]) ).
fof(f376,plain,
para(sK24_skl,sK25_skl,sK23_skl,sK22_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f378,plain,
~ eqangle(sK23_skl,sK22_skl,sK22_skl,sK20_skl,sK22_skl,sK21_skl,sK21_skl,sK20_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f401,plain,
! [X0,X1] :
( para(sK24_skl,sK25_skl,X0,X1)
| ~ para(sK23_skl,sK22_skl,X0,X1) ),
inference(resolution,[status(thm)],[f376,f110]) ).
fof(f402,plain,
para(sK23_skl,sK22_skl,sK24_skl,sK25_skl),
inference(resolution,[status(thm)],[f376,f107]) ).
fof(f430,plain,
! [X0,X1] : eqangle(sK24_skl,sK25_skl,X0,X1,sK23_skl,sK22_skl,X0,X1),
inference(resolution,[status(thm)],[f189,f376]) ).
fof(f462,plain,
para(sK24_skl,sK25_skl,sK24_skl,sK25_skl),
inference(resolution,[status(thm)],[f402,f401]) ).
fof(f485,plain,
! [X0,X1] : eqangle(sK24_skl,sK25_skl,X0,X1,sK24_skl,sK25_skl,X0,X1),
inference(resolution,[status(thm)],[f462,f189]) ).
fof(f489,plain,
para(sK24_skl,sK25_skl,sK25_skl,sK24_skl),
inference(resolution,[status(thm)],[f462,f105]) ).
fof(f498,plain,
! [X0,X1] : eqangle(sK24_skl,sK25_skl,sK23_skl,sK22_skl,X0,X1,X0,X1),
inference(resolution,[status(thm)],[f430,f144]) ).
fof(f510,plain,
para(sK25_skl,sK24_skl,sK24_skl,sK25_skl),
inference(resolution,[status(thm)],[f489,f107]) ).
fof(f554,plain,
para(sK25_skl,sK24_skl,sK25_skl,sK24_skl),
inference(resolution,[status(thm)],[f510,f105]) ).
fof(f668,plain,
! [X0,X1] :
( para(sK24_skl,sK25_skl,sK23_skl,sK22_skl)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f498,f271]) ).
fof(f672,plain,
! [X0,X1] : eqangle(X0,X1,X0,X1,sK24_skl,sK25_skl,sK23_skl,sK22_skl),
inference(resolution,[status(thm)],[f498,f142]) ).
fof(f682,definition,
! [X0,X1] :
( sQ10_spl
<=> ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f683,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f685,definition,
( sQ11_spl
<=> para(sK24_skl,sK25_skl,sK23_skl,sK22_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f688,plain,
( sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f668,f682,f685]) ).
fof(f689,plain,
( ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f554,f683]) ).
fof(f692,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f689]) ).
fof(f1059,plain,
! [X0] :
( cyclic(sK25_skl,X0,sK24_skl,sK24_skl)
| ~ coll(sK24_skl,sK24_skl,X0) ),
inference(resolution,[status(thm)],[f485,f195]) ).
fof(f1305,plain,
! [X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(sK24_skl,sK25_skl,sK23_skl,sK22_skl) ),
inference(resolution,[status(thm)],[f672,f271]) ).
fof(f1316,definition,
! [X0,X1] :
( sQ71_spl
<=> para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f1317,plain,
! [X0,X1] :
( ~ sQ71_spl
| para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f1316]) ).
fof(f1319,plain,
( sQ71_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f1305,f685,f1316]) ).
fof(f1360,plain,
! [X0,X1] :
( ~ sQ71_spl
| coll(X0,X1,X1) ),
inference(resolution,[status(thm)],[f1317,f256]) ).
fof(f1442,plain,
! [X0,X1] :
( ~ sQ71_spl
| coll(X0,X1,X0) ),
inference(resolution,[status(thm)],[f1360,f100]) ).
fof(f1478,plain,
! [X0,X1] :
( ~ sQ71_spl
| coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1442,f98]) ).
fof(f1528,plain,
! [X0] :
( ~ sQ71_spl
| cyclic(sK25_skl,X0,sK24_skl,sK24_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f1059,f1478]) ).
fof(f1634,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| coll(X2,X1,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1478,f103]) ).
fof(f1688,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f1706]) ).
fof(f1706,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| coll(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1634,f1478]) ).
fof(f1757,plain,
! [X0] :
( ~ sQ71_spl
| cyclic(sK25_skl,sK24_skl,X0,sK24_skl) ),
inference(resolution,[status(thm)],[f1528,f131]) ).
fof(f1856,plain,
! [X0] :
( ~ sQ71_spl
| cyclic(sK25_skl,sK24_skl,sK24_skl,X0) ),
inference(resolution,[status(thm)],[f1757,f129]) ).
fof(f2002,plain,
! [X0,X1] :
( ~ sQ71_spl
| cyclic(sK24_skl,sK24_skl,X1,X0)
| ~ cyclic(sK25_skl,sK24_skl,sK24_skl,X0) ),
inference(resolution,[status(thm)],[f1856,f136]) ).
fof(f2013,plain,
! [X0,X1] :
( ~ sQ71_spl
| cyclic(sK24_skl,sK24_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2002,f1856]) ).
fof(f2017,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| cyclic(sK24_skl,X0,X2,X1)
| ~ cyclic(sK24_skl,sK24_skl,X0,X1) ),
inference(resolution,[status(thm)],[f2013,f136]) ).
fof(f2031,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| cyclic(sK24_skl,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2017,f2013]) ).
fof(f2040,plain,
! [X0,X1,X2,X3] :
( ~ sQ71_spl
| cyclic(X0,X1,X3,X2)
| ~ cyclic(sK24_skl,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2031,f136]) ).
fof(f2045,plain,
! [X0,X1,X2,X3] :
( ~ sQ71_spl
| perp(X1,X0,X0,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f235,f2054]) ).
fof(f2046,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ71_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,f2054]) ).
fof(f2050,plain,
! [X0,X1,X2,X3] :
( ~ sQ71_spl
| eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f2054]) ).
fof(f2054,plain,
! [X0,X1,X2,X3] :
( ~ sQ71_spl
| cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2040,f2031]) ).
fof(f2055,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ71_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)],[f2046,f2054]) ).
fof(f2130,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| cong(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X2,X1) ),
inference(resolution,[status(thm)],[f2050,f2055]) ).
fof(f2142,plain,
! [X0,X1] :
( ~ sQ71_spl
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2130,f2054]) ).
fof(f2147,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| perp(X2,X0,X0,X1)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f2142,f2045]) ).
fof(f2150,plain,
! [X0,X1] :
( ~ sQ71_spl
| midp(X0,X1,X1) ),
inference(resolution,[status(thm)],[f2142,f1688]) ).
fof(f2160,plain,
! [X0,X1,X2,X3] :
( ~ sQ71_spl
| cong(X1,X0,X3,X0)
| ~ midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f2167]) ).
fof(f2167,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| perp(X0,X1,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2147,f2142]) ).
fof(f2216,plain,
! [X0,X1,X2] :
( ~ sQ71_spl
| cong(X0,X1,X2,X1) ),
inference(resolution,[status(thm)],[f2160,f2150]) ).
fof(f2217,plain,
! [X0,X1,X2,X3] :
( ~ sQ71_spl
| perp(X0,X2,X1,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f232,f2216]) ).
fof(f2219,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ71_spl
| para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f117,f2229]) ).
fof(f2229,plain,
! [X0,X1,X2,X3] :
( ~ sQ71_spl
| perp(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2217,f2216]) ).
fof(f2236,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ71_spl
| eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f189,f2243]) ).
fof(f2243,plain,
! [X0,X1,X2,X3] :
( ~ sQ71_spl
| para(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2219,f2229]) ).
fof(f2328,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ sQ71_spl
| eqangle(X8,X9,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(resolution,[status(thm)],[f2236,f147]) ).
fof(f2331,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ71_spl
| eqangle(X0,X1,X2,X3,X0,X1,X4,X5) ),
inference(resolution,[status(thm)],[f2236,f140]) ).
fof(f2423,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ sQ71_spl
| eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(resolution,[status(thm)],[f2331,f2328]) ).
fof(f2429,plain,
( ~ sQ71_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f378,f2423]) ).
fof(f2430,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f2429]) ).
fof(f2431,plain,
$false,
inference(sat_refutation,[status(thm)],[f688,f692,f1319,f2430]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO596+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 17:46:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 1.20/0.63 % Refutation found
% 1.20/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.20/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.20/0.65 % Elapsed time: 0.281246 seconds
% 1.20/0.65 % CPU time: 1.887856 seconds
% 1.20/0.65 % Total memory used: 107.283 MB
% 1.20/0.65 % Net memory used: 104.223 MB
%------------------------------------------------------------------------------