TSTP Solution File: GEO635+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO635+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 : Tue Apr 30 20:18:28 EDT 2024
% Result : Theorem 3.11s 0.76s
% Output : CNFRefutation 3.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 23
% Syntax : Number of formulae : 130 ( 33 unt; 0 def)
% Number of atoms : 311 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 301 ( 120 ~; 115 |; 42 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 576 ( 558 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C,D] :
( ( coll(A,B,C)
& coll(A,B,D) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
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(f18,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(B,A,C,D,P,Q,U,V) ),
file('/export/starexec/sandbox2/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/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(A,B,C,D,P,Q,U,V)
& eqangle(P,Q,U,V,E,F,G,H) )
=> eqangle(A,B,C,D,E,F,G,H) ),
file('/export/starexec/sandbox2/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/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(f41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ),
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(f44,axiom,
! [A,B,C,P,Q,R] :
( ( cyclic(A,B,C,P)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,R)
& eqangle(C,A,C,B,R,P,R,Q) )
=> cong(A,B,P,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& para(E,F,B,C)
& coll(F,A,C) )
=> midp(F,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [A,B,M,O] :
( ( midp(M,A,B)
& perp(O,M,A,B) )
=> cong(O,A,O,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q)
& cyclic(A,B,P,Q) )
=> perp(P,A,A,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& midp(M,C,D) )
=> para(A,C,B,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [A,B,C] :
( ( cong(A,B,A,C)
& coll(A,B,C) )
=> midp(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,D,E,F,G,NWPNT1,NWPNT2] :
( ( circle(D,A,B,C)
& coll(E,A,B)
& circle(D,A,F,NWPNT1)
& eqangle(A,C,C,E,F,C,C,B)
& circle(D,C,G,NWPNT2)
& coll(G,C,E) )
=> para(A,B,G,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,E,F,G,NWPNT1,NWPNT2] :
( ( circle(D,A,B,C)
& coll(E,A,B)
& circle(D,A,F,NWPNT1)
& eqangle(A,C,C,E,F,C,C,B)
& circle(D,C,G,NWPNT2)
& coll(G,C,E) )
=> para(A,B,G,F) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f97,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(A,C,B) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f97]) ).
fof(f99,plain,
! [A,B,C] :
( ~ coll(A,B,C)
| coll(B,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f101,plain,
! [A,B,C,D] :
( ~ coll(A,B,C)
| ~ coll(A,B,D)
| coll(C,D,A) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f102,plain,
! [A,C,D] :
( ! [B] :
( ~ coll(A,B,C)
| ~ coll(A,B,D) )
| coll(C,D,A) ),
inference(miniscoping,[status(esa)],[f101]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f102]) ).
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(f121,plain,
! [A,B,M] :
( ~ midp(M,B,A)
| midp(M,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f121]) ).
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(f137,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(B,A,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(esa)],[f137]) ).
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(f141,plain,
! [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) ),
inference(pre_NNF_transformation,[status(esa)],[f20]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f141]) ).
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(f145,plain,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ eqangle(P,Q,U,V,E,F,G,H)
| eqangle(A,B,C,D,E,F,G,H) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f146,plain,
! [A,B,C,D,E,F,G,H] :
( ! [P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ eqangle(P,Q,U,V,E,F,G,H) )
| eqangle(A,B,C,D,E,F,G,H) ),
inference(miniscoping,[status(esa)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
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(f190,plain,
! [A,B,P,Q] :
( ~ cyclic(A,B,P,Q)
| eqangle(P,A,P,B,Q,A,Q,B) ),
inference(pre_NNF_transformation,[status(esa)],[f41]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f190]) ).
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(f196,plain,
! [A,B,C,P,Q,R] :
( ~ cyclic(A,B,C,P)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| cong(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f44]) ).
fof(f197,plain,
! [A,B,P,Q] :
( ! [C,R] :
( ~ cyclic(A,B,C,P)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,R)
| ~ eqangle(C,A,C,B,R,P,R,Q) )
| cong(A,B,P,Q) ),
inference(miniscoping,[status(esa)],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f202,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ para(E,F,B,C)
| ~ coll(F,A,C)
| midp(F,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f46]) ).
fof(f203,plain,
! [A,C,F] :
( ! [B,E] :
( ~ midp(E,A,B)
| ~ para(E,F,B,C) )
| ~ coll(F,A,C)
| midp(F,A,C) ),
inference(miniscoping,[status(esa)],[f202]) ).
fof(f204,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X0,X3,X2,X4)
| ~ coll(X3,X1,X4)
| midp(X3,X1,X4) ),
inference(cnf_transformation,[status(esa)],[f203]) ).
fof(f228,plain,
! [A,B,M,O] :
( ~ midp(M,A,B)
| ~ perp(O,M,A,B)
| cong(O,A,O,B) ),
inference(pre_NNF_transformation,[status(esa)],[f56]) ).
fof(f229,plain,
! [A,B,O] :
( ! [M] :
( ~ midp(M,A,B)
| ~ perp(O,M,A,B) )
| cong(O,A,O,B) ),
inference(miniscoping,[status(esa)],[f228]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( ~ midp(X0,X1,X2)
| ~ perp(X3,X0,X1,X2)
| cong(X3,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f229]) ).
fof(f233,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q)
| perp(P,A,A,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f58]) ).
fof(f234,plain,
! [A,P,Q] :
( ! [B] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| ~ cyclic(A,B,P,Q) )
| perp(P,A,A,Q) ),
inference(miniscoping,[status(esa)],[f233]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| ~ cyclic(X0,X2,X1,X3)
| perp(X1,X0,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f234]) ).
fof(f247,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ midp(M,C,D)
| para(A,C,B,D) ),
inference(pre_NNF_transformation,[status(esa)],[f64]) ).
fof(f248,plain,
! [A,B,C,D] :
( ! [M] :
( ~ midp(M,A,B)
| ~ midp(M,C,D) )
| para(A,C,B,D) ),
inference(miniscoping,[status(esa)],[f247]) ).
fof(f249,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[status(esa)],[f248]) ).
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(f257,plain,
! [A,B,C] :
( ~ cong(A,B,A,C)
| ~ coll(A,B,C)
| midp(A,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f68]) ).
fof(f258,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f257]) ).
fof(f369,plain,
? [A,B,C,D,E,F,G,NWPNT1,NWPNT2] :
( circle(D,A,B,C)
& coll(E,A,B)
& circle(D,A,F,NWPNT1)
& eqangle(A,C,C,E,F,C,C,B)
& circle(D,C,G,NWPNT2)
& coll(G,C,E)
& ~ para(A,B,G,F) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [A,B,F,G] :
( ? [C,E] :
( ? [D] :
( circle(D,A,B,C)
& coll(E,A,B)
& ? [NWPNT1] : circle(D,A,F,NWPNT1)
& eqangle(A,C,C,E,F,C,C,B)
& ? [NWPNT2] : circle(D,C,G,NWPNT2) )
& coll(G,C,E) )
& ~ para(A,B,G,F) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( circle(sk0_26,sk0_20,sk0_21,sk0_24)
& coll(sk0_25,sk0_20,sk0_21)
& circle(sk0_26,sk0_20,sk0_22,sk0_27)
& eqangle(sk0_20,sk0_24,sk0_24,sk0_25,sk0_22,sk0_24,sk0_24,sk0_21)
& circle(sk0_26,sk0_24,sk0_23,sk0_28)
& coll(sk0_23,sk0_24,sk0_25)
& ~ para(sk0_20,sk0_21,sk0_23,sk0_22) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f375,plain,
eqangle(sk0_20,sk0_24,sk0_24,sk0_25,sk0_22,sk0_24,sk0_24,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f378,plain,
~ para(sk0_20,sk0_21,sk0_23,sk0_22),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f640,plain,
eqangle(sk0_22,sk0_24,sk0_24,sk0_21,sk0_20,sk0_24,sk0_24,sk0_25),
inference(resolution,[status(thm)],[f142,f375]) ).
fof(f790,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X2,X3,sk0_20,sk0_24,sk0_24,sk0_25)
| eqangle(X0,X1,X2,X3,sk0_22,sk0_24,sk0_24,sk0_21) ),
inference(resolution,[status(thm)],[f147,f375]) ).
fof(f934,plain,
eqangle(sk0_22,sk0_24,sk0_24,sk0_21,sk0_22,sk0_24,sk0_24,sk0_21),
inference(resolution,[status(thm)],[f790,f640]) ).
fof(f1478,plain,
para(sk0_22,sk0_24,sk0_22,sk0_24),
inference(resolution,[status(thm)],[f934,f186]) ).
fof(f1492,plain,
! [X0,X1] : eqangle(sk0_22,sk0_24,X0,X1,sk0_22,sk0_24,X0,X1),
inference(resolution,[status(thm)],[f1478,f189]) ).
fof(f2093,plain,
! [X0,X1] : eqangle(sk0_22,sk0_24,sk0_22,sk0_24,X0,X1,X0,X1),
inference(resolution,[status(thm)],[f1492,f144]) ).
fof(f2095,plain,
! [X0,X1] : eqangle(X0,X1,sk0_22,sk0_24,X0,X1,sk0_22,sk0_24),
inference(resolution,[status(thm)],[f1492,f140]) ).
fof(f2854,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f2095,f186]) ).
fof(f2867,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[f2854,f105]) ).
fof(f2868,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f2854,f256]) ).
fof(f3042,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[status(thm)],[f2868,f100]) ).
fof(f3218,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[status(thm)],[f3042,f98]) ).
fof(f3245,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[status(thm)],[f3218,f103]) ).
fof(f3246,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3245,f3218]) ).
fof(f3252,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f3246]) ).
fof(f3254,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f3246]) ).
fof(f3255,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X0,X3,X2,X4)
| midp(X3,X1,X4) ),
inference(backward_subsumption_resolution,[status(thm)],[f204,f3246]) ).
fof(f3262,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(resolution,[status(thm)],[f2867,f189]) ).
fof(f3273,plain,
! [X0] : cyclic(sk0_24,sk0_24,sk0_22,X0),
inference(resolution,[status(thm)],[f3252,f2093]) ).
fof(f3281,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X0)
| midp(X2,X1,X2) ),
inference(resolution,[status(thm)],[f3255,f2854]) ).
fof(f3323,plain,
! [X0,X1] :
( ~ cyclic(sk0_24,sk0_24,sk0_22,X0)
| cyclic(sk0_24,sk0_22,X0,X1) ),
inference(resolution,[status(thm)],[f3273,f136]) ).
fof(f3324,plain,
! [X0,X1] : cyclic(sk0_24,sk0_22,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f3323,f3273]) ).
fof(f3331,plain,
! [X0,X1,X2] :
( ~ cyclic(sk0_24,sk0_22,X0,X1)
| cyclic(sk0_22,X0,X1,X2) ),
inference(resolution,[status(thm)],[f3324,f136]) ).
fof(f3332,plain,
! [X0,X1,X2] : cyclic(sk0_22,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3331,f3324]) ).
fof(f3339,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(sk0_22,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f3332,f136]) ).
fof(f3340,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f3339,f3332]) ).
fof(f3344,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ eqangle(X2,X0,X2,X1,X4,X5,X4,X3)
| cong(X0,X1,X5,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f198,f3340]) ).
fof(f3345,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X4,X3,X5)
| cong(X0,X1,X4,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f3344,f3340]) ).
fof(f3346,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X1,X0,X0,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f235,f3340]) ).
fof(f3348,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2),
inference(backward_subsumption_resolution,[status(thm)],[f191,f3340]) ).
fof(f3397,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X3,X2),
inference(resolution,[status(thm)],[f3262,f140]) ).
fof(f3472,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X1,X2,X3,X0,X3,X2),
inference(resolution,[status(thm)],[f3348,f138]) ).
fof(f3556,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X1,X0,X3,X2),
inference(resolution,[status(thm)],[f3397,f138]) ).
fof(f3894,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| cong(X1,X2,X4,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f3345,f3340]) ).
fof(f3896,plain,
! [X0,X1] : cong(X0,X0,X1,X1),
inference(resolution,[status(thm)],[f3894,f3556]) ).
fof(f3898,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f3894,f3472]) ).
fof(f3909,plain,
! [X0] : midp(X0,X0,X0),
inference(resolution,[status(thm)],[f3896,f3254]) ).
fof(f3921,plain,
! [X0,X1] : midp(X0,X1,X0),
inference(resolution,[status(thm)],[f3909,f3281]) ).
fof(f3943,plain,
! [X0,X1] : midp(X0,X0,X1),
inference(resolution,[status(thm)],[f3921,f122]) ).
fof(f3979,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X1)
| perp(X1,X0,X0,X2) ),
inference(resolution,[status(thm)],[f3346,f3898]) ).
fof(f3980,plain,
! [X0,X1,X2] : perp(X0,X1,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3979,f3898]) ).
fof(f4049,plain,
! [X0,X1,X2] :
( ~ midp(X0,X0,X1)
| cong(X2,X0,X2,X1) ),
inference(resolution,[status(thm)],[f3980,f230]) ).
fof(f4050,plain,
! [X0,X1,X2] : cong(X0,X1,X0,X2),
inference(forward_subsumption_resolution,[status(thm)],[f4049,f3943]) ).
fof(f4114,plain,
! [X0,X1,X2] : midp(X0,X1,X2),
inference(backward_subsumption_resolution,[status(thm)],[f3254,f4050]) ).
fof(f4126,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X1,X4,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f249,f4114]) ).
fof(f4127,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f4126,f4114]) ).
fof(f4162,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f378,f4127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : GEO635+1 : TPTP v8.1.2. Released v7.5.0.
% 0.05/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n014.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Apr 30 01:20:34 EDT 2024
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.6.0
% 3.11/0.76 % Refutation found
% 3.11/0.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.11/0.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.11/0.78 % Elapsed time: 0.441838 seconds
% 3.11/0.78 % CPU time: 3.328249 seconds
% 3.11/0.78 % Total memory used: 92.442 MB
% 3.11/0.78 % Net memory used: 86.407 MB
%------------------------------------------------------------------------------