%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO576+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 12:25:17 PM UTC 2026
% Result : Theorem 0.49s 0.68s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 15
% Syntax : Number of formulae : 88 ( 24 unt; 0 def)
% Number of atoms : 218 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 205 ( 75 ~; 72 |; 42 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 387 ( 371 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [A,B,P,Q] :
( ( ~ coll(P,Q,A)
& eqangle(P,A,P,B,Q,A,Q,B) )
=> cyclic(A,B,P,Q) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,D,O,D1,P,NWPNT1] :
( ( coll(P,B,C)
& perp(A,C,D1,P)
& coll(D1,A,D)
& circle(O,A,D1,NWPNT1)
& circle(O,A,B,C)
& coll(D,B,C)
& perp(D,A,B,C) )
=> eqangle(O,A,A,D,C,A,A,P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,O,D1,P,NWPNT1] :
( ( coll(P,B,C)
& perp(A,C,D1,P)
& coll(D1,A,D)
& circle(O,A,D1,NWPNT1)
& circle(O,A,B,C)
& coll(D,B,C)
& perp(D,A,B,C) )
=> eqangle(O,A,A,D,C,A,A,P) ),
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(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(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(f192,plain,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
| coll(P,Q,A)
| ~ eqangle(P,A,P,B,Q,A,Q,B) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X2,X0,X3)
| coll(X0,X3,X1)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
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(f369,plain,
? [A,B,C,D,O,D1,P,NWPNT1] :
( ~ eqangle(O,A,A,D,C,A,A,P)
& coll(P,B,C)
& perp(A,C,D1,P)
& coll(D1,A,D)
& circle(O,A,D1,NWPNT1)
& circle(O,A,B,C)
& coll(D,B,C)
& perp(D,A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [A,C,D,O,P] :
( ~ eqangle(O,A,A,D,C,A,A,P)
& ? [B] :
( coll(P,B,C)
& ? [D1] :
( perp(A,C,D1,P)
& coll(D1,A,D)
& ? [NWPNT1] : circle(O,A,D1,NWPNT1)
& circle(O,A,B,C)
& coll(D,B,C)
& perp(D,A,B,C) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ eqangle(sK23_skl,sK20_skl,sK20_skl,sK22_skl,sK21_skl,sK20_skl,sK20_skl,sK24_skl)
& coll(sK24_skl,sK25_skl,sK21_skl)
& perp(sK20_skl,sK21_skl,sK26_skl,sK24_skl)
& coll(sK26_skl,sK20_skl,sK22_skl)
& circle(sK23_skl,sK20_skl,sK26_skl,sK27_skl)
& circle(sK23_skl,sK20_skl,sK25_skl,sK21_skl)
& coll(sK22_skl,sK25_skl,sK21_skl)
& perp(sK22_skl,sK20_skl,sK25_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(A,sK20_skl),skolemize(C,sK21_skl),skolemize(D,sK22_skl),skolemize(O,sK23_skl),skolemize(P,sK24_skl),skolemize(B,sK25_skl),skolemize(D1,sK26_skl),skolemize(NWPNT1,sK27_skl)],[f370]) ).
fof(f372,plain,
perp(sK22_skl,sK20_skl,sK25_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f379,plain,
~ eqangle(sK23_skl,sK20_skl,sK20_skl,sK22_skl,sK21_skl,sK20_skl,sK20_skl,sK24_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f441,plain,
perp(sK25_skl,sK21_skl,sK22_skl,sK20_skl),
inference(resolution,[status(thm)],[f114,f372]) ).
fof(f449,plain,
perp(sK25_skl,sK21_skl,sK20_skl,sK22_skl),
inference(resolution,[status(thm)],[f441,f112]) ).
fof(f457,plain,
! [X0,X1] :
( para(sK22_skl,sK20_skl,X0,X1)
| ~ perp(sK25_skl,sK21_skl,X0,X1) ),
inference(resolution,[status(thm)],[f117,f372]) ).
fof(f812,plain,
para(sK22_skl,sK20_skl,sK20_skl,sK22_skl),
inference(resolution,[status(thm)],[f457,f449]) ).
fof(f813,plain,
para(sK22_skl,sK20_skl,sK22_skl,sK20_skl),
inference(resolution,[status(thm)],[f457,f441]) ).
fof(f1032,plain,
para(sK20_skl,sK22_skl,sK22_skl,sK20_skl),
inference(resolution,[status(thm)],[f812,f107]) ).
fof(f1042,plain,
para(sK20_skl,sK22_skl,sK20_skl,sK22_skl),
inference(resolution,[status(thm)],[f1032,f105]) ).
fof(f1373,plain,
! [X0,X1] : eqangle(sK22_skl,sK20_skl,X0,X1,sK22_skl,sK20_skl,X0,X1),
inference(resolution,[status(thm)],[f189,f813]) ).
fof(f1377,plain,
! [X0,X1] : eqangle(sK20_skl,sK22_skl,X0,X1,sK20_skl,sK22_skl,X0,X1),
inference(resolution,[status(thm)],[f189,f1042]) ).
fof(f2380,plain,
! [X0,X1] : eqangle(sK22_skl,sK20_skl,sK22_skl,sK20_skl,X0,X1,X0,X1),
inference(resolution,[status(thm)],[f1373,f144]) ).
fof(f2411,plain,
! [X0] :
( cong(sK22_skl,X0,sK22_skl,X0)
| ~ cyclic(sK22_skl,X0,sK20_skl,sK20_skl)
| ~ cyclic(sK22_skl,X0,sK20_skl,X0)
| ~ cyclic(sK22_skl,X0,sK20_skl,sK22_skl) ),
inference(resolution,[status(thm)],[f1377,f198]) ).
fof(f2621,plain,
! [X0] :
( cyclic(sK20_skl,sK20_skl,sK22_skl,X0)
| ~ coll(sK22_skl,X0,sK20_skl) ),
inference(resolution,[status(thm)],[f2380,f195]) ).
fof(f2622,plain,
! [X0] :
( cyclic(sK20_skl,sK20_skl,sK22_skl,X0)
| coll(sK22_skl,X0,sK20_skl) ),
inference(resolution,[status(thm)],[f2380,f193]) ).
fof(f2633,plain,
! [X0] : cyclic(sK20_skl,sK20_skl,sK22_skl,X0),
inference(forward_subsumption_resolution,[status(thm)],[f2622,f2621]) ).
fof(f2654,plain,
! [X0,X1] :
( cyclic(sK20_skl,sK22_skl,X1,X0)
| ~ cyclic(sK20_skl,sK20_skl,sK22_skl,X0) ),
inference(resolution,[status(thm)],[f2633,f136]) ).
fof(f2658,plain,
! [X0,X1] : cyclic(sK20_skl,sK22_skl,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f2654,f2633]) ).
fof(f2661,plain,
! [X0,X1,X2] :
( cyclic(sK22_skl,X0,X2,X1)
| ~ cyclic(sK20_skl,sK22_skl,X0,X1) ),
inference(resolution,[status(thm)],[f2658,f136]) ).
fof(f2665,plain,
! [X0] :
( cong(sK22_skl,X0,sK22_skl,X0)
| ~ cyclic(sK22_skl,X0,sK20_skl,X0)
| ~ cyclic(sK22_skl,X0,sK20_skl,sK22_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f2411,f2666]) ).
fof(f2666,plain,
! [X0,X1,X2] : cyclic(sK22_skl,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f2661,f2658]) ).
fof(f2668,plain,
! [X0] :
( cong(sK22_skl,X0,sK22_skl,X0)
| ~ cyclic(sK22_skl,X0,sK20_skl,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2665,f2666]) ).
fof(f2672,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(sK22_skl,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2666,f136]) ).
fof(f2685,plain,
! [X0] : cong(sK22_skl,X0,sK22_skl,X0),
inference(backward_subsumption_resolution,[status(thm)],[f2668,f2690]) ).
fof(f2690,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f2672,f2666]) ).
fof(f2699,plain,
! [X0,X1] :
( perp(sK22_skl,sK22_skl,X1,X0)
| ~ cong(sK22_skl,X0,sK22_skl,X0) ),
inference(resolution,[status(thm)],[f2685,f232]) ).
fof(f2705,plain,
! [X0,X1] : perp(sK22_skl,sK22_skl,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f2699,f2685]) ).
fof(f2716,plain,
! [X0,X1] : perp(X0,X1,sK22_skl,sK22_skl),
inference(resolution,[status(thm)],[f2705,f114]) ).
fof(f2747,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ perp(sK22_skl,sK22_skl,X0,X1) ),
inference(resolution,[status(thm)],[f2716,f117]) ).
fof(f2752,plain,
! [X0,X1,X2,X3,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3),
inference(backward_subsumption_resolution,[status(thm)],[f189,f2762]) ).
fof(f2762,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f2747,f2705]) ).
fof(f2883,plain,
! [X0,X1,X2,X3,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5),
inference(resolution,[status(thm)],[f2752,f144]) ).
fof(f2986,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( eqangle(X6,X7,X8,X9,X2,X3,X4,X5)
| ~ eqangle(X0,X1,X0,X1,X2,X3,X4,X5) ),
inference(resolution,[status(thm)],[f2883,f147]) ).
fof(f2988,plain,
! [X0,X1,X2,X3,X4,X5] : eqangle(X0,X1,X0,X1,X2,X3,X4,X5),
inference(resolution,[status(thm)],[f2883,f142]) ).
fof(f2991,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7),
inference(backward_subsumption_resolution,[status(thm)],[f2986,f2988]) ).
fof(f2993,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f379,f2991]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO576+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n026.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 17:39:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.49/0.68 % Refutation found
% 0.49/0.68 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.49/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.49/0.69 % Elapsed time: 0.302463 seconds
% 0.49/0.69 % CPU time: 2.005002 seconds
% 0.49/0.69 % Total memory used: 107.189 MB
% 0.49/0.69 % Net memory used: 103.774 MB
%------------------------------------------------------------------------------