TSTP Solution File: GEO557+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO557+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 : Tue Apr 30 20:18:15 EDT 2024
% Result : Theorem 2.13s 0.63s
% Output : CNFRefutation 2.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 9
% Syntax : Number of formulae : 52 ( 12 unt; 0 def)
% Number of atoms : 141 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 129 ( 40 ~; 37 |; 42 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-2 aty)
% Number of variables : 226 ( 199 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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(f42,axiom,
! [A,B,P,Q] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& ~ coll(P,Q,A) )
=> cyclic(A,B,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(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,
! [A,C,K,O,N,B,G,O1,M,NWPNT1,NWPNT2,NWPNT3] :
( ( circle(O,A,C,K)
& circle(O,A,N,NWPNT1)
& coll(B,A,K)
& coll(B,C,N)
& circle(G,A,C,B)
& circle(O1,K,N,B)
& circle(G,A,M,NWPNT2)
& circle(O1,K,M,NWPNT3) )
=> cyclic(M,K,O,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,C,K,O,N,B,G,O1,M,NWPNT1,NWPNT2,NWPNT3] :
( ( circle(O,A,C,K)
& circle(O,A,N,NWPNT1)
& coll(B,A,K)
& coll(B,C,N)
& circle(G,A,C,B)
& circle(O1,K,N,B)
& circle(G,A,M,NWPNT2)
& circle(O1,K,M,NWPNT3) )
=> cyclic(M,K,O,C) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(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(f143,plain,
! [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) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[status(esa)],[f143]) ).
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(f192,plain,
! [A,B,P,Q] :
( ~ eqangle(P,A,P,B,Q,A,Q,B)
| coll(P,Q,A)
| cyclic(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f192]) ).
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(f331,plain,
! [A,B,C,O] :
? [P] :
( ~ circle(O,A,B,C)
| perp(P,A,A,O) ),
inference(pre_NNF_transformation,[status(esa)],[f87]) ).
fof(f332,plain,
! [A,O] :
( ! [B,C] : ~ circle(O,A,B,C)
| ? [P] : perp(P,A,A,O) ),
inference(miniscoping,[status(esa)],[f331]) ).
fof(f333,plain,
! [A,O] :
( ! [B,C] : ~ circle(O,A,B,C)
| perp(sk0_11(O,A),A,A,O) ),
inference(skolemization,[status(esa)],[f332]) ).
fof(f334,plain,
! [X0,X1,X2,X3] :
( ~ circle(X0,X1,X2,X3)
| perp(sk0_11(X0,X1),X1,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f333]) ).
fof(f369,plain,
? [A,C,K,O,N,B,G,O1,M,NWPNT1,NWPNT2,NWPNT3] :
( circle(O,A,C,K)
& circle(O,A,N,NWPNT1)
& coll(B,A,K)
& coll(B,C,N)
& circle(G,A,C,B)
& circle(O1,K,N,B)
& circle(G,A,M,NWPNT2)
& circle(O1,K,M,NWPNT3)
& ~ cyclic(M,K,O,C) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [C,K,O,M] :
( ? [O1] :
( ? [A,G] :
( ? [N,B] :
( circle(O,A,C,K)
& ? [NWPNT1] : circle(O,A,N,NWPNT1)
& coll(B,A,K)
& coll(B,C,N)
& circle(G,A,C,B)
& circle(O1,K,N,B) )
& ? [NWPNT2] : circle(G,A,M,NWPNT2) )
& ? [NWPNT3] : circle(O1,K,M,NWPNT3) )
& ~ cyclic(M,K,O,C) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( circle(sk0_22,sk0_25,sk0_20,sk0_21)
& circle(sk0_22,sk0_25,sk0_27,sk0_29)
& coll(sk0_28,sk0_25,sk0_21)
& coll(sk0_28,sk0_20,sk0_27)
& circle(sk0_26,sk0_25,sk0_20,sk0_28)
& circle(sk0_24,sk0_21,sk0_27,sk0_28)
& circle(sk0_26,sk0_25,sk0_23,sk0_30)
& circle(sk0_24,sk0_21,sk0_23,sk0_31)
& ~ cyclic(sk0_23,sk0_21,sk0_22,sk0_20) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f379,plain,
circle(sk0_24,sk0_21,sk0_23,sk0_31),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f380,plain,
~ cyclic(sk0_23,sk0_21,sk0_22,sk0_20),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f1453,plain,
perp(sk0_11(sk0_24,sk0_21),sk0_21,sk0_21,sk0_24),
inference(resolution,[status(thm)],[f334,f379]) ).
fof(f1488,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_11(sk0_24,sk0_21),sk0_21)
| para(X0,X1,sk0_21,sk0_24) ),
inference(resolution,[status(thm)],[f1453,f117]) ).
fof(f1489,plain,
perp(sk0_21,sk0_24,sk0_11(sk0_24,sk0_21),sk0_21),
inference(resolution,[status(thm)],[f1453,f114]) ).
fof(f2311,plain,
para(sk0_21,sk0_24,sk0_21,sk0_24),
inference(resolution,[status(thm)],[f1488,f1489]) ).
fof(f2344,plain,
! [X0,X1] : eqangle(sk0_21,sk0_24,X0,X1,sk0_21,sk0_24,X0,X1),
inference(resolution,[status(thm)],[f2311,f189]) ).
fof(f2456,plain,
! [X0,X1] : eqangle(sk0_21,sk0_24,sk0_21,sk0_24,X0,X1,X0,X1),
inference(resolution,[status(thm)],[f2344,f144]) ).
fof(f2865,plain,
! [X0] :
( ~ coll(sk0_21,X0,sk0_24)
| cyclic(sk0_24,sk0_24,sk0_21,X0) ),
inference(resolution,[status(thm)],[f2456,f195]) ).
fof(f2868,plain,
! [X0] :
( coll(sk0_21,X0,sk0_24)
| cyclic(sk0_24,sk0_24,sk0_21,X0) ),
inference(resolution,[status(thm)],[f2456,f193]) ).
fof(f2869,plain,
! [X0] : cyclic(sk0_24,sk0_24,sk0_21,X0),
inference(forward_subsumption_resolution,[status(thm)],[f2868,f2865]) ).
fof(f2900,plain,
! [X0,X1] :
( ~ cyclic(sk0_24,sk0_24,sk0_21,X0)
| cyclic(sk0_24,sk0_21,X0,X1) ),
inference(resolution,[status(thm)],[f2869,f136]) ).
fof(f2901,plain,
! [X0,X1] : cyclic(sk0_24,sk0_21,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f2900,f2869]) ).
fof(f2917,plain,
! [X0,X1,X2] :
( ~ cyclic(sk0_24,sk0_21,X0,X1)
| cyclic(sk0_21,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2901,f136]) ).
fof(f2918,plain,
! [X0,X1,X2] : cyclic(sk0_21,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f2917,f2901]) ).
fof(f2931,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(sk0_21,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f2918,f136]) ).
fof(f2932,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f2931,f2918]) ).
fof(f2933,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f380,f2932]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO557+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n006.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 01:31:20 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 2.13/0.63 % Refutation found
% 2.13/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.13/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.22/0.65 % Elapsed time: 0.307799 seconds
% 2.22/0.65 % CPU time: 2.313220 seconds
% 2.22/0.65 % Total memory used: 80.847 MB
% 2.22/0.65 % Net memory used: 78.958 MB
%------------------------------------------------------------------------------