TSTP Solution File: GEO643+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO643+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 20:18:30 EDT 2024
% Result : Theorem 2.25s 0.69s
% Output : CNFRefutation 2.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 78 ( 19 unt; 0 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 160 ( 54 ~; 49 |; 41 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 324 ( 301 !; 23 ?)
% 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(f7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
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(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,B,C,D,E,F,G,H,I,J] :
( ( coll(C,A,B)
& coll(E,A,D)
& coll(F,B,E)
& coll(F,C,D)
& circle(G,D,E,F)
& circle(H,A,C,D)
& circle(I,B,C,F)
& circle(J,B,A,E) )
=> cyclic(I,J,H,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,E,F,G,H,I,J] :
( ( coll(C,A,B)
& coll(E,A,D)
& coll(F,B,E)
& coll(F,C,D)
& circle(G,D,E,F)
& circle(H,A,C,D)
& circle(I,B,C,F)
& circle(J,B,A,E) )
=> cyclic(I,J,H,G) ),
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(f111,plain,
! [A,B,C,D] :
( ~ perp(A,B,C,D)
| perp(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f111]) ).
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(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,B,C,D,E,F,G,H,I,J] :
( coll(C,A,B)
& coll(E,A,D)
& coll(F,B,E)
& coll(F,C,D)
& circle(G,D,E,F)
& circle(H,A,C,D)
& circle(I,B,C,F)
& circle(J,B,A,E)
& ~ cyclic(I,J,H,G) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [G,H,I,J] :
( ? [A,B,E] :
( ? [C,F] :
( ? [D] :
( coll(C,A,B)
& coll(E,A,D)
& coll(F,B,E)
& coll(F,C,D)
& circle(G,D,E,F)
& circle(H,A,C,D) )
& circle(I,B,C,F) )
& circle(J,B,A,E) )
& ~ cyclic(I,J,H,G) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( coll(sk0_27,sk0_24,sk0_25)
& coll(sk0_26,sk0_24,sk0_29)
& coll(sk0_28,sk0_25,sk0_26)
& coll(sk0_28,sk0_27,sk0_29)
& circle(sk0_20,sk0_29,sk0_26,sk0_28)
& circle(sk0_21,sk0_24,sk0_27,sk0_29)
& circle(sk0_22,sk0_25,sk0_27,sk0_28)
& circle(sk0_23,sk0_25,sk0_24,sk0_26)
& ~ cyclic(sk0_22,sk0_23,sk0_21,sk0_20) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f379,plain,
circle(sk0_23,sk0_25,sk0_24,sk0_26),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f380,plain,
~ cyclic(sk0_22,sk0_23,sk0_21,sk0_20),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f386,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5)
| ~ perp(X2,X3,X5,X4) ),
inference(resolution,[status(thm)],[f117,f112]) ).
fof(f1552,plain,
perp(sk0_11(sk0_23,sk0_25),sk0_25,sk0_25,sk0_23),
inference(resolution,[status(thm)],[f334,f379]) ).
fof(f1689,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_11(sk0_23,sk0_25),sk0_25)
| para(X0,X1,sk0_23,sk0_25) ),
inference(resolution,[status(thm)],[f1552,f386]) ).
fof(f2156,plain,
! [X0,X1] :
( para(X0,X1,sk0_23,sk0_25)
| ~ perp(sk0_11(sk0_23,sk0_25),sk0_25,X0,X1) ),
inference(resolution,[status(thm)],[f1689,f114]) ).
fof(f2475,plain,
para(sk0_25,sk0_23,sk0_23,sk0_25),
inference(resolution,[status(thm)],[f2156,f1552]) ).
fof(f2493,plain,
para(sk0_25,sk0_23,sk0_25,sk0_23),
inference(resolution,[status(thm)],[f2475,f105]) ).
fof(f2519,plain,
! [X0,X1] : eqangle(sk0_25,sk0_23,X0,X1,sk0_25,sk0_23,X0,X1),
inference(resolution,[status(thm)],[f2493,f189]) ).
fof(f2603,plain,
! [X0,X1] : eqangle(X0,X1,sk0_25,sk0_23,X0,X1,sk0_25,sk0_23),
inference(resolution,[status(thm)],[f2519,f140]) ).
fof(f2744,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f2603,f186]) ).
fof(f2751,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[f2744,f105]) ).
fof(f2752,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f2744,f256]) ).
fof(f2844,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(resolution,[status(thm)],[f2751,f189]) ).
fof(f2878,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X3,X2),
inference(resolution,[status(thm)],[f2844,f140]) ).
fof(f3126,plain,
! [X0,X1] :
( ~ coll(X0,X0,X0)
| cyclic(X1,X0,X0,X0) ),
inference(resolution,[status(thm)],[f2878,f195]) ).
fof(f3127,plain,
! [X0,X1] : cyclic(X0,X1,X1,X1),
inference(forward_subsumption_resolution,[status(thm)],[f3126,f2752]) ).
fof(f3140,plain,
! [X0,X1] : cyclic(X0,X1,X0,X0),
inference(resolution,[status(thm)],[f3127,f133]) ).
fof(f3154,plain,
! [X0,X1] : cyclic(X0,X0,X1,X0),
inference(resolution,[status(thm)],[f3140,f131]) ).
fof(f3168,plain,
! [X0,X1] : cyclic(X0,X0,X0,X1),
inference(resolution,[status(thm)],[f3154,f129]) ).
fof(f3182,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X0,X0,X1)
| cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f3168,f136]) ).
fof(f3183,plain,
! [X0,X1,X2] : cyclic(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3182,f3168]) ).
fof(f3201,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f3183,f136]) ).
fof(f3202,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f3201,f3183]) ).
fof(f3207,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f380,f3202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO643+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 02:14:25 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 2.25/0.69 % Refutation found
% 2.25/0.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.25/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.25/0.71 % Elapsed time: 0.360960 seconds
% 2.25/0.71 % CPU time: 2.709164 seconds
% 2.25/0.71 % Total memory used: 87.595 MB
% 2.25/0.71 % Net memory used: 84.999 MB
%------------------------------------------------------------------------------