TSTP Solution File: GEO567+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO567+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:18:17 EDT 2024
% Result : Theorem 0.22s 0.46s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 46 ( 9 unt; 0 def)
% Number of atoms : 123 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 116 ( 39 ~; 36 |; 32 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 193 ( 181 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
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(A,B,C,D)
& perp(C,D,E,F) )
=> para(A,B,E,F) ),
file('/export/starexec/sandbox2/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/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(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] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& ~ coll(P,Q,A) )
=> cyclic(A,B,P,Q) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,D,Q,P] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(Q,D,A,B)
& coll(Q,A,B)
& perp(P,D,A,C)
& coll(P,A,C) )
=> cyclic(B,Q,P,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,Q,P] :
( ( perp(D,A,B,C)
& coll(D,B,C)
& perp(Q,D,A,B)
& coll(Q,A,B)
& perp(P,D,A,C)
& coll(P,A,C) )
=> cyclic(B,Q,P,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(f369,plain,
? [A,B,C,D,Q,P] :
( perp(D,A,B,C)
& coll(D,B,C)
& perp(Q,D,A,B)
& coll(Q,A,B)
& perp(P,D,A,C)
& coll(P,A,C)
& ~ cyclic(B,Q,P,C) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [B,C,Q,P] :
( ? [A] :
( ? [D] :
( perp(D,A,B,C)
& coll(D,B,C)
& perp(Q,D,A,B)
& coll(Q,A,B)
& perp(P,D,A,C) )
& coll(P,A,C) )
& ~ cyclic(B,Q,P,C) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( perp(sk0_25,sk0_24,sk0_20,sk0_21)
& coll(sk0_25,sk0_20,sk0_21)
& perp(sk0_22,sk0_25,sk0_24,sk0_20)
& coll(sk0_22,sk0_24,sk0_20)
& perp(sk0_23,sk0_25,sk0_24,sk0_21)
& coll(sk0_23,sk0_24,sk0_21)
& ~ cyclic(sk0_20,sk0_22,sk0_23,sk0_21) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f376,plain,
perp(sk0_23,sk0_25,sk0_24,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f378,plain,
~ cyclic(sk0_20,sk0_22,sk0_23,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f389,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ perp(X0,X1,X6,X7)
| ~ perp(X6,X7,X4,X5) ),
inference(resolution,[status(thm)],[f189,f117]) ).
fof(f478,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X1,X2,X3,sk0_24,sk0_21,X2,X3)
| ~ perp(X0,X1,sk0_23,sk0_25) ),
inference(resolution,[status(thm)],[f389,f376]) ).
fof(f502,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X1,X2,X3,sk0_24,sk0_21,X2,X3)
| ~ perp(sk0_23,sk0_25,X0,X1) ),
inference(resolution,[status(thm)],[f478,f114]) ).
fof(f626,plain,
! [X0,X1] : eqangle(sk0_24,sk0_21,X0,X1,sk0_24,sk0_21,X0,X1),
inference(resolution,[status(thm)],[f502,f376]) ).
fof(f641,plain,
! [X0,X1] : eqangle(sk0_24,sk0_21,sk0_24,sk0_21,X0,X1,X0,X1),
inference(resolution,[status(thm)],[f626,f144]) ).
fof(f673,plain,
! [X0] :
( ~ coll(sk0_24,X0,sk0_21)
| cyclic(sk0_21,sk0_21,sk0_24,X0) ),
inference(resolution,[status(thm)],[f641,f195]) ).
fof(f674,plain,
! [X0] :
( coll(sk0_24,X0,sk0_21)
| cyclic(sk0_21,sk0_21,sk0_24,X0) ),
inference(resolution,[status(thm)],[f641,f193]) ).
fof(f675,plain,
! [X0] : cyclic(sk0_21,sk0_21,sk0_24,X0),
inference(forward_subsumption_resolution,[status(thm)],[f674,f673]) ).
fof(f700,plain,
! [X0,X1] :
( ~ cyclic(sk0_21,sk0_21,sk0_24,X0)
| cyclic(sk0_21,sk0_24,X0,X1) ),
inference(resolution,[status(thm)],[f675,f136]) ).
fof(f701,plain,
! [X0,X1] : cyclic(sk0_21,sk0_24,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f700,f675]) ).
fof(f716,plain,
! [X0,X1,X2] :
( ~ cyclic(sk0_21,sk0_24,X0,X1)
| cyclic(sk0_24,X0,X1,X2) ),
inference(resolution,[status(thm)],[f701,f136]) ).
fof(f717,plain,
! [X0,X1,X2] : cyclic(sk0_24,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f716,f701]) ).
fof(f734,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(sk0_24,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f717,f136]) ).
fof(f735,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f734,f717]) ).
fof(f736,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f378,f735]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO567+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 01:27:04 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 0.22/0.46 % Refutation found
% 0.22/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.22/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.47 % Elapsed time: 0.112644 seconds
% 0.22/0.47 % CPU time: 0.726412 seconds
% 0.22/0.47 % Total memory used: 61.059 MB
% 0.22/0.47 % Net memory used: 60.379 MB
%------------------------------------------------------------------------------