%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO640+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 : n004.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 1.03s 0.73s
% Output : CNFRefutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 84 ( 16 unt; 0 def)
% Number of atoms : 286 ( 0 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 267 ( 65 ~; 60 |; 126 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 31 ( 31 usr; 30 con; 0-2 aty)
% Number of variables : 448 ( 385 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(f16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,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(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(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(f67,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [Q4,Q1,Q3,Q0,Q2,P0,P1,P2,P3,P4,O0,O4,O3,O2,O1,M0,M4,M3,M2,M1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :
( ( circle(O1,Q1,M1,NWPNT01)
& circle(O2,Q2,M1,NWPNT9)
& circle(O2,Q2,M2,NWPNT8)
& circle(O3,Q3,M2,NWPNT7)
& circle(O3,Q3,M3,NWPNT6)
& circle(O4,Q4,M3,NWPNT5)
& circle(O4,Q4,M4,NWPNT4)
& circle(O0,Q0,M4,NWPNT3)
& circle(O1,Q1,M0,NWPNT2)
& circle(O0,Q0,M0,NWPNT1)
& circle(O1,P1,Q1,P0)
& circle(O2,P1,P2,Q2)
& circle(O3,P3,P2,Q3)
& circle(O4,P4,P3,Q4)
& circle(O0,Q0,P0,P4)
& coll(P4,Q3,Q0)
& coll(P4,Q4,Q1)
& coll(P3,Q4,Q2)
& coll(P3,Q3,Q0)
& coll(P2,Q4,Q2)
& coll(P2,Q1,Q3)
& coll(P1,Q0,Q2)
& coll(P1,Q1,Q3)
& coll(P0,Q0,Q2)
& coll(P0,Q4,Q1) )
=> cyclic(M4,M3,M2,M1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [Q4,Q1,Q3,Q0,Q2,P0,P1,P2,P3,P4,O0,O4,O3,O2,O1,M0,M4,M3,M2,M1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :
( ( circle(O1,Q1,M1,NWPNT01)
& circle(O2,Q2,M1,NWPNT9)
& circle(O2,Q2,M2,NWPNT8)
& circle(O3,Q3,M2,NWPNT7)
& circle(O3,Q3,M3,NWPNT6)
& circle(O4,Q4,M3,NWPNT5)
& circle(O4,Q4,M4,NWPNT4)
& circle(O0,Q0,M4,NWPNT3)
& circle(O1,Q1,M0,NWPNT2)
& circle(O0,Q0,M0,NWPNT1)
& circle(O1,P1,Q1,P0)
& circle(O2,P1,P2,Q2)
& circle(O3,P3,P2,Q3)
& circle(O4,P4,P3,Q4)
& circle(O0,Q0,P0,P4)
& coll(P4,Q3,Q0)
& coll(P4,Q4,Q1)
& coll(P3,Q4,Q2)
& coll(P3,Q3,Q0)
& coll(P2,Q4,Q2)
& coll(P2,Q1,Q3)
& coll(P1,Q0,Q2)
& coll(P1,Q1,Q3)
& coll(P0,Q0,Q2)
& coll(P0,Q4,Q1) )
=> cyclic(M4,M3,M2,M1) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(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(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(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(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(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(f331,plain,
! [A,B,C,O] :
? [P] :
( perp(P,A,A,O)
| ~ circle(O,A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f87]) ).
fof(f332,plain,
! [A,O] :
( ? [P] : perp(P,A,A,O)
| ! [B,C] : ~ circle(O,A,B,C) ),
inference(miniscoping,[status(thm)],[f331]) ).
fof(f333,plain,
! [A,O] :
( perp(sK11_skl(O,A),A,A,O)
| ! [B,C] : ~ circle(O,A,B,C) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl]),skolemize(P,sK11_skl(O,A))],[f332]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( perp(sK11_skl(X0,X1),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f333]) ).
fof(f369,plain,
? [Q4,Q1,Q3,Q0,Q2,P0,P1,P2,P3,P4,O0,O4,O3,O2,O1,M0,M4,M3,M2,M1,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :
( ~ cyclic(M4,M3,M2,M1)
& circle(O1,Q1,M1,NWPNT01)
& circle(O2,Q2,M1,NWPNT9)
& circle(O2,Q2,M2,NWPNT8)
& circle(O3,Q3,M2,NWPNT7)
& circle(O3,Q3,M3,NWPNT6)
& circle(O4,Q4,M3,NWPNT5)
& circle(O4,Q4,M4,NWPNT4)
& circle(O0,Q0,M4,NWPNT3)
& circle(O1,Q1,M0,NWPNT2)
& circle(O0,Q0,M0,NWPNT1)
& circle(O1,P1,Q1,P0)
& circle(O2,P1,P2,Q2)
& circle(O3,P3,P2,Q3)
& circle(O4,P4,P3,Q4)
& circle(O0,Q0,P0,P4)
& coll(P4,Q3,Q0)
& coll(P4,Q4,Q1)
& coll(P3,Q4,Q2)
& coll(P3,Q3,Q0)
& coll(P2,Q4,Q2)
& coll(P2,Q1,Q3)
& coll(P1,Q0,Q2)
& coll(P1,Q1,Q3)
& coll(P0,Q0,Q2)
& coll(P0,Q4,Q1) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [M4,M3,M2,M1] :
( ~ cyclic(M4,M3,M2,M1)
& ? [Q1,O1] :
( ? [NWPNT01] : circle(O1,Q1,M1,NWPNT01)
& ? [Q2,O2] :
( ? [NWPNT9] : circle(O2,Q2,M1,NWPNT9)
& ? [NWPNT8] : circle(O2,Q2,M2,NWPNT8)
& ? [Q3,O3] :
( ? [NWPNT7] : circle(O3,Q3,M2,NWPNT7)
& ? [NWPNT6] : circle(O3,Q3,M3,NWPNT6)
& ? [Q4,O4] :
( ? [NWPNT5] : circle(O4,Q4,M3,NWPNT5)
& ? [NWPNT4] : circle(O4,Q4,M4,NWPNT4)
& ? [Q0,O0] :
( ? [NWPNT3] : circle(O0,Q0,M4,NWPNT3)
& ? [M0] :
( ? [NWPNT2] : circle(O1,Q1,M0,NWPNT2)
& ? [NWPNT1] : circle(O0,Q0,M0,NWPNT1)
& ? [P0,P1] :
( circle(O1,P1,Q1,P0)
& ? [P2] :
( circle(O2,P1,P2,Q2)
& ? [P3] :
( circle(O3,P3,P2,Q3)
& ? [P4] :
( circle(O4,P4,P3,Q4)
& circle(O0,Q0,P0,P4)
& coll(P4,Q3,Q0)
& coll(P4,Q4,Q1)
& coll(P3,Q4,Q2)
& coll(P3,Q3,Q0)
& coll(P2,Q4,Q2)
& coll(P2,Q1,Q3)
& coll(P1,Q0,Q2)
& coll(P1,Q1,Q3)
& coll(P0,Q0,Q2)
& coll(P0,Q4,Q1) ) ) ) ) ) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ cyclic(sK20_skl,sK21_skl,sK22_skl,sK23_skl)
& circle(sK25_skl,sK24_skl,sK23_skl,sK49_skl)
& circle(sK27_skl,sK26_skl,sK23_skl,sK48_skl)
& circle(sK27_skl,sK26_skl,sK22_skl,sK47_skl)
& circle(sK29_skl,sK28_skl,sK22_skl,sK46_skl)
& circle(sK29_skl,sK28_skl,sK21_skl,sK45_skl)
& circle(sK31_skl,sK30_skl,sK21_skl,sK44_skl)
& circle(sK31_skl,sK30_skl,sK20_skl,sK43_skl)
& circle(sK33_skl,sK32_skl,sK20_skl,sK42_skl)
& circle(sK25_skl,sK24_skl,sK34_skl,sK41_skl)
& circle(sK33_skl,sK32_skl,sK34_skl,sK40_skl)
& circle(sK25_skl,sK36_skl,sK24_skl,sK35_skl)
& circle(sK27_skl,sK36_skl,sK37_skl,sK26_skl)
& circle(sK29_skl,sK38_skl,sK37_skl,sK28_skl)
& circle(sK31_skl,sK39_skl,sK38_skl,sK30_skl)
& circle(sK33_skl,sK32_skl,sK35_skl,sK39_skl)
& coll(sK39_skl,sK28_skl,sK32_skl)
& coll(sK39_skl,sK30_skl,sK24_skl)
& coll(sK38_skl,sK30_skl,sK26_skl)
& coll(sK38_skl,sK28_skl,sK32_skl)
& coll(sK37_skl,sK30_skl,sK26_skl)
& coll(sK37_skl,sK24_skl,sK28_skl)
& coll(sK36_skl,sK32_skl,sK26_skl)
& coll(sK36_skl,sK24_skl,sK28_skl)
& coll(sK35_skl,sK32_skl,sK26_skl)
& coll(sK35_skl,sK30_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,sK29_skl,sK30_skl,sK31_skl,sK32_skl,sK33_skl,sK34_skl,sK35_skl,sK36_skl,sK37_skl,sK38_skl,sK39_skl,sK40_skl,sK41_skl,sK42_skl,sK43_skl,sK44_skl,sK45_skl,sK46_skl,sK47_skl,sK48_skl,sK49_skl]),skolemize(M4,sK20_skl),skolemize(M3,sK21_skl),skolemize(M2,sK22_skl),skolemize(M1,sK23_skl),skolemize(Q1,sK24_skl),skolemize(O1,sK25_skl),skolemize(Q2,sK26_skl),skolemize(O2,sK27_skl),skolemize(Q3,sK28_skl),skolemize(O3,sK29_skl),skolemize(Q4,sK30_skl),skolemize(O4,sK31_skl),skolemize(Q0,sK32_skl),skolemize(O0,sK33_skl),skolemize(M0,sK34_skl),skolemize(P0,sK35_skl),skolemize(P1,sK36_skl),skolemize(P2,sK37_skl),skolemize(P3,sK38_skl),skolemize(P4,sK39_skl),skolemize(NWPNT1,sK40_skl),skolemize(NWPNT2,sK41_skl),skolemize(NWPNT3,sK42_skl),skolemize(NWPNT4,sK43_skl),skolemize(NWPNT5,sK44_skl),skolemize(NWPNT6,sK45_skl),skolemize(NWPNT7,sK46_skl),skolemize(NWPNT8,sK47_skl),skolemize(NWPNT9,sK48_skl),skolemize(NWPNT01,sK49_skl)],[f370]) ).
fof(f396,plain,
circle(sK25_skl,sK24_skl,sK23_skl,sK49_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f397,plain,
~ cyclic(sK20_skl,sK21_skl,sK22_skl,sK23_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f401,plain,
! [X0,X1,X2] :
( ~ para(X0,X2,X0,X1)
| coll(X0,X1,X2) ),
inference(resolution,[status(thm)],[f256,f107]) ).
fof(f405,plain,
! [X0,X1,X2] :
( ~ para(X0,X2,X1,X0)
| coll(X0,X1,X2) ),
inference(resolution,[status(thm)],[f401,f105]) ).
fof(f409,plain,
! [X0,X1,X2] :
( ~ para(X1,X0,X0,X2)
| coll(X0,X1,X2) ),
inference(resolution,[status(thm)],[f405,f107]) ).
fof(f414,plain,
! [X0,X1,X2] :
( ~ para(X1,X0,X2,X0)
| coll(X0,X1,X2) ),
inference(resolution,[status(thm)],[f409,f105]) ).
fof(f426,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ circle(X2,X3,X4,X5)
| para(X0,X1,X3,X2)
| ~ perp(X0,X1,sK11_skl(X2,X3),X3) ),
inference(resolution,[status(thm)],[f117,f334]) ).
fof(f463,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X4,X5,X0,X1)
| eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(resolution,[status(thm)],[f189,f107]) ).
fof(f517,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X4,X5,X1,X0)
| eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(resolution,[status(thm)],[f463,f105]) ).
fof(f522,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X1,X0,X4,X5)
| eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(resolution,[status(thm)],[f517,f107]) ).
fof(f527,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X1,X0,X5,X4)
| eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(resolution,[status(thm)],[f522,f105]) ).
fof(f956,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(sK11_skl(X3,X2),X2,X0,X1)
| ~ circle(X3,X2,X4,X5)
| para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f426,f114]) ).
fof(f1056,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ circle(X1,X0,X4,X5)
| ~ circle(X1,X0,X2,X3)
| para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f956,f334]) ).
fof(f1062,plain,
! [X0,X1] :
( ~ circle(sK25_skl,sK24_skl,X0,X1)
| para(sK24_skl,sK25_skl,sK24_skl,sK25_skl) ),
inference(resolution,[status(thm)],[f1056,f396]) ).
fof(f1079,plain,
para(sK24_skl,sK25_skl,sK24_skl,sK25_skl),
inference(resolution,[status(thm)],[f1062,f396]) ).
fof(f1092,plain,
! [X0,X1] : eqangle(sK25_skl,sK24_skl,X0,X1,sK25_skl,sK24_skl,X0,X1),
inference(resolution,[status(thm)],[f1079,f527]) ).
fof(f1119,plain,
! [X0,X1] : eqangle(X0,X1,sK25_skl,sK24_skl,X0,X1,sK25_skl,sK24_skl),
inference(resolution,[status(thm)],[f1092,f140]) ).
fof(f1269,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f1119,f186]) ).
fof(f1288,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(resolution,[status(thm)],[f1269,f522]) ).
fof(f1294,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f1269,f414]) ).
fof(f1343,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X3,X2),
inference(resolution,[status(thm)],[f1288,f140]) ).
fof(f1457,plain,
! [X0,X1] :
( cyclic(X1,X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[status(thm)],[f1343,f195]) ).
fof(f1459,plain,
! [X0,X1] : cyclic(X0,X1,X1,X1),
inference(forward_subsumption_resolution,[status(thm)],[f1457,f1294]) ).
fof(f1468,plain,
! [X0,X1] : cyclic(X0,X1,X0,X0),
inference(resolution,[status(thm)],[f1459,f133]) ).
fof(f1480,plain,
! [X0,X1] : cyclic(X0,X0,X1,X0),
inference(resolution,[status(thm)],[f1468,f131]) ).
fof(f1492,plain,
! [X0,X1] : cyclic(X0,X0,X0,X1),
inference(resolution,[status(thm)],[f1480,f129]) ).
fof(f1499,plain,
! [X0,X1,X2] :
( cyclic(X0,X0,X1,X2)
| ~ cyclic(X0,X0,X0,X1) ),
inference(resolution,[status(thm)],[f1492,f136]) ).
fof(f1509,plain,
! [X0,X1,X2] : cyclic(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f1499,f1492]) ).
fof(f1516,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f1509,f136]) ).
fof(f1526,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f1516,f1509]) ).
fof(f1531,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f397,f1526]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO640+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 18:10:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 1.03/0.73 % Refutation found
% 1.03/0.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.03/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.94/0.77 % Elapsed time: 0.376963 seconds
% 1.94/0.77 % CPU time: 2.611173 seconds
% 1.94/0.77 % Total memory used: 116.164 MB
% 1.94/0.77 % Net memory used: 113.691 MB
%------------------------------------------------------------------------------