%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO595+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 : n009.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 12:25:19 PM UTC 2026
% Result : Theorem 0.08s 0.48s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 12
% Syntax : Number of formulae : 64 ( 16 unt; 0 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 146 ( 48 ~; 43 |; 42 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 256 ( 234 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(f45,axiom,
! [A,B,C,E,F] :
( ( midp(F,A,C)
& midp(E,A,B) )
=> para(E,F,B,C) ),
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,D,O,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( circle(O,D,F,NWPNT4)
& coll(F,A,C)
& circle(O,D,E,NWPNT3)
& coll(E,A,B)
& circle(O,D,NWPNT1,NWPNT2)
& midp(O,A,D)
& coll(D,B,C)
& perp(D,A,B,C) )
=> cyclic(B,C,E,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,O,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ( circle(O,D,F,NWPNT4)
& coll(F,A,C)
& circle(O,D,E,NWPNT3)
& coll(E,A,B)
& circle(O,D,NWPNT1,NWPNT2)
& midp(O,A,D)
& coll(D,B,C)
& perp(D,A,B,C) )
=> cyclic(B,C,E,F) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(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(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(f199,plain,
! [A,B,C,E,F] :
( para(E,F,B,C)
| ~ midp(F,A,C)
| ~ midp(E,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f200,plain,
! [B,C,E,F] :
( para(E,F,B,C)
| ! [A] :
( ~ midp(F,A,C)
| ~ midp(E,A,B) ) ),
inference(miniscoping,[status(thm)],[f199]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
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,D,O,E,F,NWPNT1,NWPNT2,NWPNT3,NWPNT4] :
( ~ cyclic(B,C,E,F)
& circle(O,D,F,NWPNT4)
& coll(F,A,C)
& circle(O,D,E,NWPNT3)
& coll(E,A,B)
& circle(O,D,NWPNT1,NWPNT2)
& midp(O,A,D)
& coll(D,B,C)
& perp(D,A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [B,C,E,F] :
( ~ cyclic(B,C,E,F)
& ? [D,O] :
( ? [NWPNT4] : circle(O,D,F,NWPNT4)
& ? [A] :
( coll(F,A,C)
& ? [NWPNT3] : circle(O,D,E,NWPNT3)
& coll(E,A,B)
& ? [NWPNT1,NWPNT2] : circle(O,D,NWPNT1,NWPNT2)
& midp(O,A,D)
& coll(D,B,C)
& perp(D,A,B,C) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ cyclic(sK20_skl,sK21_skl,sK22_skl,sK23_skl)
& circle(sK25_skl,sK24_skl,sK23_skl,sK30_skl)
& coll(sK23_skl,sK26_skl,sK21_skl)
& circle(sK25_skl,sK24_skl,sK22_skl,sK29_skl)
& coll(sK22_skl,sK26_skl,sK20_skl)
& circle(sK25_skl,sK24_skl,sK27_skl,sK28_skl)
& midp(sK25_skl,sK26_skl,sK24_skl)
& coll(sK24_skl,sK20_skl,sK21_skl)
& perp(sK24_skl,sK26_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,sK28_skl,sK29_skl,sK30_skl]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(E,sK22_skl),skolemize(F,sK23_skl),skolemize(D,sK24_skl),skolemize(O,sK25_skl),skolemize(A,sK26_skl),skolemize(NWPNT1,sK27_skl),skolemize(NWPNT2,sK28_skl),skolemize(NWPNT3,sK29_skl),skolemize(NWPNT4,sK30_skl)],[f370]) ).
fof(f374,plain,
midp(sK25_skl,sK26_skl,sK24_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f380,plain,
~ cyclic(sK20_skl,sK21_skl,sK22_skl,sK23_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f454,plain,
! [X0,X1] :
( para(X0,sK25_skl,X1,sK24_skl)
| ~ midp(X0,sK26_skl,X1) ),
inference(resolution,[status(thm)],[f201,f374]) ).
fof(f456,plain,
para(sK25_skl,sK25_skl,sK24_skl,sK24_skl),
inference(resolution,[status(thm)],[f454,f374]) ).
fof(f459,plain,
! [X0,X1] :
( para(X0,X1,sK24_skl,sK24_skl)
| ~ para(X0,X1,sK25_skl,sK25_skl) ),
inference(resolution,[status(thm)],[f456,f110]) ).
fof(f460,plain,
para(sK24_skl,sK24_skl,sK25_skl,sK25_skl),
inference(resolution,[status(thm)],[f456,f107]) ).
fof(f484,plain,
para(sK24_skl,sK24_skl,sK24_skl,sK24_skl),
inference(resolution,[status(thm)],[f459,f460]) ).
fof(f486,plain,
! [X0,X1] : eqangle(sK24_skl,sK24_skl,X0,X1,sK24_skl,sK24_skl,X0,X1),
inference(resolution,[status(thm)],[f484,f189]) ).
fof(f490,plain,
coll(sK24_skl,sK24_skl,sK24_skl),
inference(resolution,[status(thm)],[f484,f256]) ).
fof(f518,plain,
! [X0,X1] : eqangle(X0,X1,sK24_skl,sK24_skl,X0,X1,sK24_skl,sK24_skl),
inference(resolution,[status(thm)],[f486,f140]) ).
fof(f566,plain,
! [X0] :
( cyclic(X0,sK24_skl,sK24_skl,sK24_skl)
| ~ coll(sK24_skl,sK24_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f518,f195]) ).
fof(f569,plain,
! [X0] : cyclic(X0,sK24_skl,sK24_skl,sK24_skl),
inference(forward_subsumption_resolution,[status(thm)],[f566,f490]) ).
fof(f594,plain,
! [X0] : cyclic(sK24_skl,X0,sK24_skl,sK24_skl),
inference(resolution,[status(thm)],[f569,f133]) ).
fof(f605,plain,
! [X0] : cyclic(sK24_skl,sK24_skl,X0,sK24_skl),
inference(resolution,[status(thm)],[f594,f131]) ).
fof(f616,plain,
! [X0] : cyclic(sK24_skl,sK24_skl,sK24_skl,X0),
inference(resolution,[status(thm)],[f605,f129]) ).
fof(f622,plain,
! [X0,X1] :
( cyclic(sK24_skl,sK24_skl,X0,X1)
| ~ cyclic(sK24_skl,sK24_skl,sK24_skl,X0) ),
inference(resolution,[status(thm)],[f616,f136]) ).
fof(f631,plain,
! [X0,X1] : cyclic(sK24_skl,sK24_skl,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f622,f616]) ).
fof(f637,plain,
! [X0,X1,X2] :
( cyclic(sK24_skl,X0,X1,X2)
| ~ cyclic(sK24_skl,sK24_skl,X0,X1) ),
inference(resolution,[status(thm)],[f631,f136]) ).
fof(f646,plain,
! [X0,X1,X2] : cyclic(sK24_skl,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f637,f631]) ).
fof(f652,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ cyclic(sK24_skl,X0,X1,X2) ),
inference(resolution,[status(thm)],[f646,f136]) ).
fof(f661,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f652,f646]) ).
fof(f664,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f380,f661]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO595+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 17:43:12 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.48 % Refutation found
% 0.08/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.50 % Elapsed time: 0.130591 seconds
% 0.08/0.50 % CPU time: 0.759100 seconds
% 0.08/0.50 % Total memory used: 95.238 MB
% 0.08/0.50 % Net memory used: 94.532 MB
%------------------------------------------------------------------------------