TSTP Solution File: GEO628+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO628+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:09:22 EDT 2023
% Result : Theorem 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 14
% Syntax : Number of formulae : 71 ( 17 unt; 0 def)
% Number of atoms : 197 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 176 ( 50 ~; 45 |; 66 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 313 (; 287 !; 26 ?)
% 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(A,B,C,D)
& perp(C,D,E,F) )
=> 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,D)
& cyclic(A,B,C,E) )
=> 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] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& coll(P,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(f95,conjecture,
! [A,B,C,O,P1,F,G,P,G1,F1,K,NWPNT1,NWPNT2] :
( ( circle(O,A,B,C)
& circle(O,A,P1,NWPNT1)
& perp(F,P1,A,C)
& coll(F,A,C)
& perp(G,P1,A,B)
& coll(G,A,B)
& circle(O,A,P,NWPNT2)
& perp(G1,P,A,B)
& coll(G1,A,B)
& perp(F1,P,A,C)
& coll(F1,A,C)
& perp(F,G,P,K)
& perp(G1,F1,P1,K) )
=> cyclic(A,P1,P,K) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,O,P1,F,G,P,G1,F1,K,NWPNT1,NWPNT2] :
( ( circle(O,A,B,C)
& circle(O,A,P1,NWPNT1)
& perp(F,P1,A,C)
& coll(F,A,C)
& perp(G,P1,A,B)
& coll(G,A,B)
& circle(O,A,P,NWPNT2)
& perp(G1,P,A,B)
& coll(G1,A,B)
& perp(F1,P,A,C)
& coll(F1,A,C)
& perp(F,G,P,K)
& perp(G1,F1,P1,K) )
=> cyclic(A,P1,P,K) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f104,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f106,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| para(C,D,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f113,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(C,D,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f115,plain,
! [A,B,C,D,E,F] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F)
| para(A,B,E,F) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f116,plain,
! [A,B,E,F] :
( ! [C,D] :
( ~ perp(A,B,C,D)
| ~ perp(C,D,E,F) )
| para(A,B,E,F) ),
inference(miniscoping,[status(esa)],[f115]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f128,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f130,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f132,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
fof(f134,plain,
! [A,B,C,D,E] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E)
| cyclic(B,C,D,E) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f135,plain,
! [B,C,D,E] :
( ! [A] :
( ~ cyclic(A,B,C,D)
| ~ cyclic(A,B,C,E) )
| cyclic(B,C,D,E) ),
inference(miniscoping,[status(esa)],[f134]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f139,plain,
! [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) ),
inference(pre_NNF_transformation,[status(esa)],[f19]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f139]) ).
fof(f184,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(esa)],[f39]) ).
fof(f185,plain,
! [A,B,C,D] :
( ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q)
| para(A,B,C,D) ),
inference(miniscoping,[status(esa)],[f184]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f185]) ).
fof(f187,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(esa)],[f40]) ).
fof(f188,plain,
! [A,B,C,D] :
( ~ para(A,B,C,D)
| ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q) ),
inference(miniscoping,[status(esa)],[f187]) ).
fof(f189,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f188]) ).
fof(f194,plain,
! [A,B,P,Q] :
( ~ eqangle(P,A,P,B,Q,A,Q,B)
| ~ coll(P,Q,B)
| cyclic(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f43]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f255,plain,
! [A,B,C] :
( ~ para(A,B,A,C)
| coll(A,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f67]) ).
fof(f256,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f255]) ).
fof(f369,plain,
? [A,B,C,O,P1,F,G,P,G1,F1,K,NWPNT1,NWPNT2] :
( circle(O,A,B,C)
& circle(O,A,P1,NWPNT1)
& perp(F,P1,A,C)
& coll(F,A,C)
& perp(G,P1,A,B)
& coll(G,A,B)
& circle(O,A,P,NWPNT2)
& perp(G1,P,A,B)
& coll(G1,A,B)
& perp(F1,P,A,C)
& coll(F1,A,C)
& perp(F,G,P,K)
& perp(G1,F1,P1,K)
& ~ cyclic(A,P1,P,K) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [A,P1,P,K] :
( ? [G1,F1] :
( ? [F,G] :
( ? [C] :
( ? [B] :
( ? [O] :
( circle(O,A,B,C)
& ? [NWPNT1] : circle(O,A,P1,NWPNT1)
& perp(F,P1,A,C)
& coll(F,A,C)
& perp(G,P1,A,B)
& coll(G,A,B)
& ? [NWPNT2] : circle(O,A,P,NWPNT2) )
& perp(G1,P,A,B)
& coll(G1,A,B) )
& perp(F1,P,A,C)
& coll(F1,A,C) )
& perp(F,G,P,K) )
& perp(G1,F1,P1,K) )
& ~ cyclic(A,P1,P,K) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( circle(sk0_30,sk0_20,sk0_29,sk0_28)
& circle(sk0_30,sk0_20,sk0_21,sk0_31)
& perp(sk0_26,sk0_21,sk0_20,sk0_28)
& coll(sk0_26,sk0_20,sk0_28)
& perp(sk0_27,sk0_21,sk0_20,sk0_29)
& coll(sk0_27,sk0_20,sk0_29)
& circle(sk0_30,sk0_20,sk0_22,sk0_32)
& perp(sk0_24,sk0_22,sk0_20,sk0_29)
& coll(sk0_24,sk0_20,sk0_29)
& perp(sk0_25,sk0_22,sk0_20,sk0_28)
& coll(sk0_25,sk0_20,sk0_28)
& perp(sk0_26,sk0_27,sk0_22,sk0_23)
& perp(sk0_24,sk0_25,sk0_21,sk0_23)
& ~ cyclic(sk0_20,sk0_21,sk0_22,sk0_23) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f381,plain,
perp(sk0_25,sk0_22,sk0_20,sk0_28),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f385,plain,
~ cyclic(sk0_20,sk0_21,sk0_22,sk0_23),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f389,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X4,X5,X0,X1) ),
inference(resolution,[status(thm)],[f117,f107]) ).
fof(f4271,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_25,sk0_22)
| para(sk0_20,sk0_28,X0,X1) ),
inference(resolution,[status(thm)],[f389,f381]) ).
fof(f4295,plain,
! [X0,X1] :
( para(sk0_20,sk0_28,X0,X1)
| ~ perp(sk0_25,sk0_22,X0,X1) ),
inference(resolution,[status(thm)],[f4271,f114]) ).
fof(f4367,plain,
para(sk0_20,sk0_28,sk0_20,sk0_28),
inference(resolution,[status(thm)],[f4295,f381]) ).
fof(f4393,plain,
! [X0,X1] : eqangle(sk0_20,sk0_28,X0,X1,sk0_20,sk0_28,X0,X1),
inference(resolution,[status(thm)],[f4367,f189]) ).
fof(f4456,plain,
! [X0,X1] : eqangle(X0,X1,sk0_20,sk0_28,X0,X1,sk0_20,sk0_28),
inference(resolution,[status(thm)],[f4393,f140]) ).
fof(f4838,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f4456,f186]) ).
fof(f4871,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[f4838,f105]) ).
fof(f4872,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f4838,f256]) ).
fof(f4912,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(resolution,[status(thm)],[f4871,f189]) ).
fof(f4961,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X3,X2),
inference(resolution,[status(thm)],[f4912,f140]) ).
fof(f5050,plain,
! [X0,X1] :
( ~ coll(X0,X0,X0)
| cyclic(X1,X0,X0,X0) ),
inference(resolution,[status(thm)],[f4961,f195]) ).
fof(f5051,plain,
! [X0,X1] : cyclic(X0,X1,X1,X1),
inference(forward_subsumption_resolution,[status(thm)],[f5050,f4872]) ).
fof(f5071,plain,
! [X0,X1] : cyclic(X0,X1,X0,X0),
inference(resolution,[status(thm)],[f5051,f133]) ).
fof(f5085,plain,
! [X0,X1] : cyclic(X0,X0,X1,X0),
inference(resolution,[status(thm)],[f5071,f131]) ).
fof(f5110,plain,
! [X0,X1] : cyclic(X0,X0,X0,X1),
inference(resolution,[status(thm)],[f5085,f129]) ).
fof(f5125,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X0,X0,X1)
| cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f5110,f136]) ).
fof(f5126,plain,
! [X0,X1,X2] : cyclic(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f5125,f5110]) ).
fof(f5158,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f5126,f136]) ).
fof(f5159,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f5158,f5126]) ).
fof(f5164,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f385,f5159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : GEO628+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n014.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue May 30 11:56:18 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.5.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.51 % Elapsed time: 0.163141 seconds
% 0.18/0.51 % CPU time: 0.672571 seconds
% 0.18/0.51 % Memory used: 53.671 MB
%------------------------------------------------------------------------------