%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO545+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 : n026.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 12:25:12 PM UTC 2026
% Result : Theorem 13.35s 2.13s
% Output : CNFRefutation 13.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 20
% Syntax : Number of formulae : 114 ( 9 unt; 2 def)
% Number of atoms : 397 ( 0 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 411 ( 128 ~; 120 |; 142 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 487 ( 447 !; 40 ?)
% 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(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
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(f10,axiom,
! [A,B,C,D,E,F] :
( ( perp(C,D,E,F)
& para(A,B,C,D) )
=> perp(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(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(f67,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :
( ( perp(H,C,MIDPNT21,A1)
& midp(MIDPNT21,H,C)
& perp(B,C,MIDPNT11,A1)
& midp(MIDPNT11,B,C)
& perp(B,H,MIDPNT01,A1)
& midp(MIDPNT01,B,H)
& perp(H,C,MIDPNT9,B1)
& midp(MIDPNT9,H,C)
& perp(A,C,MIDPNT8,B1)
& midp(MIDPNT8,A,C)
& perp(A,H,MIDPNT7,B1)
& midp(MIDPNT7,A,H)
& perp(B,H,MIDPNT6,C1)
& midp(MIDPNT6,B,H)
& perp(A,H,MIDPNT5,C1)
& midp(MIDPNT5,A,H)
& perp(A,B,MIDPNT4,C1)
& midp(MIDPNT4,A,B)
& perp(B,C,MIDPNT3,O)
& midp(MIDPNT3,B,C)
& perp(A,C,MIDPNT2,O)
& midp(MIDPNT2,A,C)
& perp(A,B,MIDPNT1,O)
& midp(MIDPNT1,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(A,B,C,H) )
=> perp(A1,O,B1,C1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :
( ( perp(H,C,MIDPNT21,A1)
& midp(MIDPNT21,H,C)
& perp(B,C,MIDPNT11,A1)
& midp(MIDPNT11,B,C)
& perp(B,H,MIDPNT01,A1)
& midp(MIDPNT01,B,H)
& perp(H,C,MIDPNT9,B1)
& midp(MIDPNT9,H,C)
& perp(A,C,MIDPNT8,B1)
& midp(MIDPNT8,A,C)
& perp(A,H,MIDPNT7,B1)
& midp(MIDPNT7,A,H)
& perp(B,H,MIDPNT6,C1)
& midp(MIDPNT6,B,H)
& perp(A,H,MIDPNT5,C1)
& midp(MIDPNT5,A,H)
& perp(A,B,MIDPNT4,C1)
& midp(MIDPNT4,A,B)
& perp(B,C,MIDPNT3,O)
& midp(MIDPNT3,B,C)
& perp(A,C,MIDPNT2,O)
& midp(MIDPNT2,A,C)
& perp(A,B,MIDPNT1,O)
& midp(MIDPNT1,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(A,B,C,H) )
=> perp(A1,O,B1,C1) ),
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(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(f118,plain,
! [A,B,C,D,E,F] :
( perp(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f119,plain,
! [A,B,E,F] :
( perp(A,B,E,F)
| ! [C,D] :
( ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
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(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(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(f369,plain,
? [A,B,C,H,O,C1,B1,A1,MIDPNT1,MIDPNT2,MIDPNT3,MIDPNT4,MIDPNT5,MIDPNT6,MIDPNT7,MIDPNT8,MIDPNT9,MIDPNT01,MIDPNT11,MIDPNT21] :
( ~ perp(A1,O,B1,C1)
& perp(H,C,MIDPNT21,A1)
& midp(MIDPNT21,H,C)
& perp(B,C,MIDPNT11,A1)
& midp(MIDPNT11,B,C)
& perp(B,H,MIDPNT01,A1)
& midp(MIDPNT01,B,H)
& perp(H,C,MIDPNT9,B1)
& midp(MIDPNT9,H,C)
& perp(A,C,MIDPNT8,B1)
& midp(MIDPNT8,A,C)
& perp(A,H,MIDPNT7,B1)
& midp(MIDPNT7,A,H)
& perp(B,H,MIDPNT6,C1)
& midp(MIDPNT6,B,H)
& perp(A,H,MIDPNT5,C1)
& midp(MIDPNT5,A,H)
& perp(A,B,MIDPNT4,C1)
& midp(MIDPNT4,A,B)
& perp(B,C,MIDPNT3,O)
& midp(MIDPNT3,B,C)
& perp(A,C,MIDPNT2,O)
& midp(MIDPNT2,A,C)
& perp(A,B,MIDPNT1,O)
& midp(MIDPNT1,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(A,B,C,H) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [O,C1,B1,A1] :
( ~ perp(A1,O,B1,C1)
& ? [C,H,MIDPNT21] :
( perp(H,C,MIDPNT21,A1)
& midp(MIDPNT21,H,C)
& ? [B,MIDPNT11] :
( perp(B,C,MIDPNT11,A1)
& midp(MIDPNT11,B,C)
& ? [MIDPNT01] :
( perp(B,H,MIDPNT01,A1)
& midp(MIDPNT01,B,H)
& ? [MIDPNT9] :
( perp(H,C,MIDPNT9,B1)
& midp(MIDPNT9,H,C)
& ? [A,MIDPNT8] :
( perp(A,C,MIDPNT8,B1)
& midp(MIDPNT8,A,C)
& ? [MIDPNT7] :
( perp(A,H,MIDPNT7,B1)
& midp(MIDPNT7,A,H)
& ? [MIDPNT6] :
( perp(B,H,MIDPNT6,C1)
& midp(MIDPNT6,B,H)
& ? [MIDPNT5] :
( perp(A,H,MIDPNT5,C1)
& midp(MIDPNT5,A,H)
& ? [MIDPNT4] :
( perp(A,B,MIDPNT4,C1)
& midp(MIDPNT4,A,B)
& ? [MIDPNT3] :
( perp(B,C,MIDPNT3,O)
& midp(MIDPNT3,B,C)
& ? [MIDPNT2] :
( perp(A,C,MIDPNT2,O)
& midp(MIDPNT2,A,C)
& ? [MIDPNT1] :
( perp(A,B,MIDPNT1,O)
& midp(MIDPNT1,A,B)
& perp(B,C,A,H)
& perp(A,C,B,H)
& perp(A,B,C,H) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ perp(sK23_skl,sK20_skl,sK22_skl,sK21_skl)
& perp(sK25_skl,sK24_skl,sK26_skl,sK23_skl)
& midp(sK26_skl,sK25_skl,sK24_skl)
& perp(sK27_skl,sK24_skl,sK28_skl,sK23_skl)
& midp(sK28_skl,sK27_skl,sK24_skl)
& perp(sK27_skl,sK25_skl,sK29_skl,sK23_skl)
& midp(sK29_skl,sK27_skl,sK25_skl)
& perp(sK25_skl,sK24_skl,sK30_skl,sK22_skl)
& midp(sK30_skl,sK25_skl,sK24_skl)
& perp(sK31_skl,sK24_skl,sK32_skl,sK22_skl)
& midp(sK32_skl,sK31_skl,sK24_skl)
& perp(sK31_skl,sK25_skl,sK33_skl,sK22_skl)
& midp(sK33_skl,sK31_skl,sK25_skl)
& perp(sK27_skl,sK25_skl,sK34_skl,sK21_skl)
& midp(sK34_skl,sK27_skl,sK25_skl)
& perp(sK31_skl,sK25_skl,sK35_skl,sK21_skl)
& midp(sK35_skl,sK31_skl,sK25_skl)
& perp(sK31_skl,sK27_skl,sK36_skl,sK21_skl)
& midp(sK36_skl,sK31_skl,sK27_skl)
& perp(sK27_skl,sK24_skl,sK37_skl,sK20_skl)
& midp(sK37_skl,sK27_skl,sK24_skl)
& perp(sK31_skl,sK24_skl,sK38_skl,sK20_skl)
& midp(sK38_skl,sK31_skl,sK24_skl)
& perp(sK31_skl,sK27_skl,sK39_skl,sK20_skl)
& midp(sK39_skl,sK31_skl,sK27_skl)
& perp(sK27_skl,sK24_skl,sK31_skl,sK25_skl)
& perp(sK31_skl,sK24_skl,sK27_skl,sK25_skl)
& perp(sK31_skl,sK27_skl,sK24_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,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl,sK36_skl,sK37_skl,sK38_skl,sK39_skl]),skolemize(O,sK20_skl),skolemize(C1,sK21_skl),skolemize(B1,sK22_skl),skolemize(A1,sK23_skl),skolemize(C,sK24_skl),skolemize(H,sK25_skl),skolemize(MIDPNT21,sK26_skl),skolemize(B,sK27_skl),skolemize(MIDPNT11,sK28_skl),skolemize(MIDPNT01,sK29_skl),skolemize(MIDPNT9,sK30_skl),skolemize(A,sK31_skl),skolemize(MIDPNT8,sK32_skl),skolemize(MIDPNT7,sK33_skl),skolemize(MIDPNT6,sK34_skl),skolemize(MIDPNT5,sK35_skl),skolemize(MIDPNT4,sK36_skl),skolemize(MIDPNT3,sK37_skl),skolemize(MIDPNT2,sK38_skl),skolemize(MIDPNT1,sK39_skl)],[f370]) ).
fof(f392,plain,
perp(sK25_skl,sK24_skl,sK30_skl,sK22_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f398,plain,
perp(sK25_skl,sK24_skl,sK26_skl,sK23_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f399,plain,
~ perp(sK23_skl,sK20_skl,sK22_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f791,plain,
! [X0,X1] :
( para(X0,X1,sK30_skl,sK22_skl)
| ~ perp(X0,X1,sK25_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f392,f117]) ).
fof(f793,plain,
perp(sK30_skl,sK22_skl,sK25_skl,sK24_skl),
inference(resolution,[status(thm)],[f392,f114]) ).
fof(f824,plain,
! [X0,X1] :
( para(X0,X1,sK26_skl,sK23_skl)
| ~ perp(X0,X1,sK25_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f398,f117]) ).
fof(f826,plain,
perp(sK26_skl,sK23_skl,sK25_skl,sK24_skl),
inference(resolution,[status(thm)],[f398,f114]) ).
fof(f1154,plain,
! [X0,X1] :
( para(X0,X1,sK25_skl,sK24_skl)
| ~ perp(X0,X1,sK26_skl,sK23_skl) ),
inference(resolution,[status(thm)],[f826,f117]) ).
fof(f2112,plain,
para(sK30_skl,sK22_skl,sK30_skl,sK22_skl),
inference(resolution,[status(thm)],[f791,f793]) ).
fof(f2598,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(f2600,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(f9632,definition,
! [X4,X5] :
( sQ1007_spl
<=> ~ para(X4,X5,X4,X5) ),
introduced(definition,[new_symbols(definition,[sQ1007_spl])],[split_symbol_definition]) ).
fof(f9633,plain,
! [X0,X1] :
( ~ sQ1007_spl
| ~ para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f9632]) ).
fof(f9681,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f2600,f186]) ).
fof(f9689,definition,
! [X2,X3] :
( sQ1008_spl
<=> para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ1008_spl])],[split_symbol_definition]) ).
fof(f9690,plain,
! [X0,X1] :
( ~ sQ1008_spl
| para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f9689]) ).
fof(f9692,plain,
( sQ1008_spl
| sQ1007_spl ),
inference(split_clause,[status(thm)],[f9681,f9632,f9689]) ).
fof(f9769,plain,
( ~ sQ1007_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f2112,f9633]) ).
fof(f9807,plain,
~ sQ1007_spl,
inference(contradiction_clause,[status(thm)],[f9769]) ).
fof(f9808,plain,
! [X0,X1] :
( ~ sQ1008_spl
| coll(X0,X1,X1) ),
inference(resolution,[status(thm)],[f9690,f256]) ).
fof(f9870,plain,
! [X0,X1] :
( ~ sQ1008_spl
| coll(X0,X1,X0) ),
inference(resolution,[status(thm)],[f9808,f100]) ).
fof(f9927,plain,
! [X0,X1] :
( ~ sQ1008_spl
| coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f9870,f98]) ).
fof(f9930,plain,
! [X0,X1,X2] :
( ~ sQ1008_spl
| coll(X1,X2,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f9927,f103]) ).
fof(f9935,plain,
! [X0,X1,X2] :
( ~ sQ1008_spl
| coll(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f9930,f9927]) ).
fof(f9947,plain,
! [X0,X1,X2,X3] :
( ~ sQ1008_spl
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f9935]) ).
fof(f10653,plain,
! [X0,X1,X2] :
( ~ sQ1008_spl
| ~ para(X1,X0,X1,X0)
| cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f9947,f2598]) ).
fof(f10662,plain,
! [X0,X1,X2] :
( ~ sQ1008_spl
| cyclic(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f10653,f9690]) ).
fof(f10692,plain,
! [X0,X1,X2,X3] :
( ~ sQ1008_spl
| cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f10662,f136]) ).
fof(f10696,plain,
! [X0,X1,X2,X3] :
( ~ sQ1008_spl
| cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f10692,f10662]) ).
fof(f10705,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1008_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,f10696]) ).
fof(f10706,plain,
! [X0,X1,X2,X3] :
( ~ sQ1008_spl
| eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f10696]) ).
fof(f10708,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1008_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)],[f10705,f10696]) ).
fof(f11197,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ1008_spl
| cong(X1,X2,X4,X5)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f10708,f10696]) ).
fof(f11207,plain,
! [X0,X1] :
( ~ sQ1008_spl
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f10706,f11197]) ).
fof(f11438,plain,
! [X0,X1,X2] :
( ~ sQ1008_spl
| perp(X0,X0,X1,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f11207,f232]) ).
fof(f11442,plain,
! [X0,X1,X2] :
( ~ sQ1008_spl
| perp(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f11438,f11207]) ).
fof(f11516,plain,
! [X0] :
( ~ sQ1008_spl
| para(X0,X0,sK25_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f11442,f1154]) ).
fof(f11531,plain,
! [X0] :
( ~ sQ1008_spl
| para(X0,X0,sK26_skl,sK23_skl) ),
inference(resolution,[status(thm)],[f11442,f824]) ).
fof(f11664,plain,
! [X0] :
( ~ sQ1008_spl
| para(sK25_skl,sK24_skl,X0,X0) ),
inference(resolution,[status(thm)],[f11516,f107]) ).
fof(f11927,plain,
! [X0] :
( ~ sQ1008_spl
| para(sK26_skl,sK23_skl,X0,X0) ),
inference(resolution,[status(thm)],[f11531,f107]) ).
fof(f12111,plain,
! [X0,X1,X2] :
( ~ sQ1008_spl
| perp(sK25_skl,sK24_skl,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f11664,f120]) ).
fof(f12115,plain,
! [X0,X1] :
( ~ sQ1008_spl
| perp(sK25_skl,sK24_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12111,f11442]) ).
fof(f12213,plain,
! [X0,X1,X2] :
( ~ sQ1008_spl
| perp(sK26_skl,sK23_skl,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f11927,f120]) ).
fof(f12217,plain,
! [X0,X1] :
( ~ sQ1008_spl
| perp(sK26_skl,sK23_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f12213,f11442]) ).
fof(f12452,plain,
! [X0,X1] :
( ~ sQ1008_spl
| perp(X0,X1,sK25_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f12115,f114]) ).
fof(f14073,plain,
! [X0,X1] :
( ~ sQ1008_spl
| para(X0,X1,sK26_skl,sK23_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f824,f12452]) ).
fof(f14088,plain,
! [X0,X1,X2,X3] :
( ~ sQ1008_spl
| perp(X2,X3,X0,X1)
| ~ perp(sK26_skl,sK23_skl,X0,X1) ),
inference(resolution,[status(thm)],[f14073,f120]) ).
fof(f14092,plain,
! [X0,X1,X2,X3] :
( ~ sQ1008_spl
| perp(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f14088,f12217]) ).
fof(f14107,plain,
( ~ sQ1008_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f399,f14092]) ).
fof(f14164,plain,
~ sQ1008_spl,
inference(contradiction_clause,[status(thm)],[f14107]) ).
fof(f14165,plain,
$false,
inference(sat_refutation,[status(thm)],[f9692,f9807,f14164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO545+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n026.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 17:23:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 13.35/2.13 % Refutation found
% 13.35/2.13 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.35/2.13 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.35/2.17 % Elapsed time: 1.781464 seconds
% 13.35/2.17 % CPU time: 13.759523 seconds
% 13.35/2.17 % Total memory used: 212.257 MB
% 13.35/2.17 % Net memory used: 198.928 MB
%------------------------------------------------------------------------------