TSTP Solution File: GEO592+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO592+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:09:15 EDT 2023
% Result : Theorem 19.86s 2.90s
% Output : CNFRefutation 20.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 20
% Syntax : Number of formulae : 119 ( 23 unt; 0 def)
% Number of atoms : 332 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 334 ( 121 ~; 117 |; 75 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 495 (; 471 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
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(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
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(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(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(f23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ),
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(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(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(f53,axiom,
! [A,B,C,M] :
( ( perp(A,B,B,C)
& midp(M,A,C) )
=> cong(A,M,B,M) ),
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(f65,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,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(f74,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( eqangle(A,B,C,D,P,Q,U,V)
& para(P,Q,U,V) )
=> para(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( eqangle(A,B,C,D,P,Q,U,V)
& perp(P,Q,U,V) )
=> perp(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( ( perp(A,B,A,C)
& perp(D,A,B,C)
& coll(D,B,C)
& midp(O,C,B)
& circle(O,A,NWPNT1,NWPNT2)
& perp(M,B,A,O)
& coll(M,A,O)
& coll(G,B,M)
& circle(O,A,G,NWPNT3)
& coll(F,C,A)
& coll(F,B,M)
& coll(E,A,D)
& coll(E,B,M) )
=> cong(E,A,E,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( ( perp(A,B,A,C)
& perp(D,A,B,C)
& coll(D,B,C)
& midp(O,C,B)
& circle(O,A,NWPNT1,NWPNT2)
& perp(M,B,A,O)
& coll(M,A,O)
& coll(G,B,M)
& circle(O,A,G,NWPNT3)
& coll(F,C,A)
& coll(F,B,M)
& coll(E,A,D)
& coll(E,B,M) )
=> cong(E,A,E,B) ),
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(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(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(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(f148,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f150,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f150]) ).
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(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(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(f220,plain,
! [A,B,C,M] :
( ~ perp(A,B,B,C)
| ~ midp(M,A,C)
| cong(A,M,B,M) ),
inference(pre_NNF_transformation,[status(esa)],[f53]) ).
fof(f221,plain,
! [A,B,M] :
( ! [C] :
( ~ perp(A,B,B,C)
| ~ midp(M,A,C) )
| cong(A,M,B,M) ),
inference(miniscoping,[status(esa)],[f220]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f221]) ).
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(f250,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f65]) ).
fof(f251,plain,
! [C,D,M] :
( ! [A,B] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C) )
| midp(M,C,D) ),
inference(miniscoping,[status(esa)],[f250]) ).
fof(f252,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X1,X3,X2,X4)
| ~ para(X1,X4,X2,X3)
| midp(X0,X3,X4) ),
inference(cnf_transformation,[status(esa)],[f251]) ).
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(f269,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ para(P,Q,U,V)
| para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f74]) ).
fof(f270,plain,
! [A,B,C,D] :
( ! [P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ para(P,Q,U,V) )
| para(A,B,C,D) ),
inference(miniscoping,[status(esa)],[f269]) ).
fof(f271,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f270]) ).
fof(f272,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ perp(P,Q,U,V)
| perp(A,B,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f75]) ).
fof(f273,plain,
! [A,B,C,D] :
( ! [P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ perp(P,Q,U,V) )
| perp(A,B,C,D) ),
inference(miniscoping,[status(esa)],[f272]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f273]) ).
fof(f369,plain,
? [B,C,A,D,O,M,G,F,E,NWPNT1,NWPNT2,NWPNT3] :
( perp(A,B,A,C)
& perp(D,A,B,C)
& coll(D,B,C)
& midp(O,C,B)
& circle(O,A,NWPNT1,NWPNT2)
& perp(M,B,A,O)
& coll(M,A,O)
& coll(G,B,M)
& circle(O,A,G,NWPNT3)
& coll(F,C,A)
& coll(F,B,M)
& coll(E,A,D)
& coll(E,B,M)
& ~ cong(E,A,E,B) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [B,A,E] :
( ? [M] :
( ? [D] :
( ? [F] :
( ? [C] :
( ? [O,G] :
( perp(A,B,A,C)
& perp(D,A,B,C)
& coll(D,B,C)
& midp(O,C,B)
& ? [NWPNT1,NWPNT2] : circle(O,A,NWPNT1,NWPNT2)
& perp(M,B,A,O)
& coll(M,A,O)
& coll(G,B,M)
& ? [NWPNT3] : circle(O,A,G,NWPNT3) )
& coll(F,C,A) )
& coll(F,B,M) )
& coll(E,A,D) )
& coll(E,B,M) )
& ~ cong(E,A,E,B) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( perp(sk0_21,sk0_20,sk0_21,sk0_26)
& perp(sk0_24,sk0_21,sk0_20,sk0_26)
& coll(sk0_24,sk0_20,sk0_26)
& midp(sk0_27,sk0_26,sk0_20)
& circle(sk0_27,sk0_21,sk0_29,sk0_30)
& perp(sk0_23,sk0_20,sk0_21,sk0_27)
& coll(sk0_23,sk0_21,sk0_27)
& coll(sk0_28,sk0_20,sk0_23)
& circle(sk0_27,sk0_21,sk0_28,sk0_31)
& coll(sk0_25,sk0_26,sk0_21)
& coll(sk0_25,sk0_20,sk0_23)
& coll(sk0_22,sk0_21,sk0_24)
& coll(sk0_22,sk0_20,sk0_23)
& ~ cong(sk0_22,sk0_21,sk0_22,sk0_20) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f372,plain,
perp(sk0_21,sk0_20,sk0_21,sk0_26),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f375,plain,
midp(sk0_27,sk0_26,sk0_20),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f385,plain,
~ cong(sk0_22,sk0_21,sk0_22,sk0_20),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f397,plain,
~ cong(sk0_22,sk0_21,sk0_20,sk0_22),
inference(resolution,[status(thm)],[f149,f385]) ).
fof(f399,plain,
~ cong(sk0_20,sk0_22,sk0_22,sk0_21),
inference(resolution,[status(thm)],[f151,f397]) ).
fof(f402,plain,
~ cong(sk0_20,sk0_22,sk0_21,sk0_22),
inference(resolution,[status(thm)],[f399,f149]) ).
fof(f414,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| midp(X0,X1,X2)
| ~ cong(X0,X2,X0,X1) ),
inference(resolution,[status(thm)],[f258,f151]) ).
fof(f417,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| midp(X0,X1,X2)
| ~ cong(X0,X2,X1,X0) ),
inference(resolution,[status(thm)],[f414,f149]) ).
fof(f421,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| midp(X0,X1,X2)
| ~ cong(X1,X0,X0,X2) ),
inference(resolution,[status(thm)],[f417,f151]) ).
fof(f428,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| midp(X0,X1,X2)
| ~ cong(X1,X0,X2,X0) ),
inference(resolution,[status(thm)],[f421,f149]) ).
fof(f440,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3)
| ~ midp(X3,X2,X0) ),
inference(resolution,[status(thm)],[f222,f122]) ).
fof(f766,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| para(X2,X3,X4,X5) ),
inference(resolution,[status(thm)],[f140,f186]) ).
fof(f1096,plain,
! [X0,X1] :
( ~ midp(sk0_27,X0,X1)
| para(X0,sk0_26,X1,sk0_20) ),
inference(resolution,[status(thm)],[f249,f375]) ).
fof(f1103,plain,
! [X0,X1] :
( para(X0,sk0_26,X1,sk0_20)
| ~ midp(sk0_27,X1,X0) ),
inference(resolution,[status(thm)],[f1096,f122]) ).
fof(f1122,plain,
para(sk0_20,sk0_26,sk0_26,sk0_20),
inference(resolution,[status(thm)],[f1103,f375]) ).
fof(f1128,plain,
para(sk0_26,sk0_20,sk0_20,sk0_26),
inference(resolution,[status(thm)],[f1122,f107]) ).
fof(f1143,plain,
para(sk0_26,sk0_20,sk0_26,sk0_20),
inference(resolution,[status(thm)],[f1128,f105]) ).
fof(f1335,plain,
! [X0,X1] : eqangle(sk0_26,sk0_20,X0,X1,sk0_26,sk0_20,X0,X1),
inference(resolution,[status(thm)],[f1143,f189]) ).
fof(f1490,plain,
! [X0,X1,X2,X3] :
( coll(X0,X1,X2)
| cyclic(X2,X3,X0,X1)
| ~ eqangle(X0,X2,X1,X2,X0,X3,X1,X3) ),
inference(resolution,[status(thm)],[f193,f144]) ).
fof(f1879,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f766,f1335]) ).
fof(f1898,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[f1879,f105]) ).
fof(f1899,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f1879,f256]) ).
fof(f1912,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X2)
| cyclic(X3,X2,X0,X1)
| ~ eqangle(X0,X3,X1,X3,X0,X2,X1,X2) ),
inference(resolution,[status(thm)],[f195,f144]) ).
fof(f2138,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(resolution,[status(thm)],[f1898,f189]) ).
fof(f2982,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| midp(X4,X1,X3)
| ~ midp(X4,X2,X0) ),
inference(resolution,[status(thm)],[f252,f122]) ).
fof(f3698,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X1,X0,X2,X3) ),
inference(resolution,[status(thm)],[f271,f2138]) ).
fof(f3715,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X2,X3,sk0_21,sk0_20,sk0_21,sk0_26)
| perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f274,f372]) ).
fof(f3876,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X1,X0,X3,X2) ),
inference(resolution,[status(thm)],[f3698,f105]) ).
fof(f4008,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X3,X2,X1,X0) ),
inference(resolution,[status(thm)],[f3876,f107]) ).
fof(f4029,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X3,X2,X0,X1) ),
inference(resolution,[status(thm)],[f4008,f105]) ).
fof(f4049,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X3,X2,X4,X5,X0,X1,X4,X5) ),
inference(resolution,[status(thm)],[f4029,f189]) ).
fof(f4713,plain,
perp(sk0_20,sk0_21,sk0_21,sk0_26),
inference(resolution,[status(thm)],[f3715,f2138]) ).
fof(f4733,plain,
! [X0] :
( cong(sk0_20,X0,sk0_21,X0)
| ~ midp(X0,sk0_26,sk0_20) ),
inference(resolution,[status(thm)],[f4713,f440]) ).
fof(f13509,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| cyclic(X2,X2,X0,X1)
| ~ para(X0,X2,X2,X0) ),
inference(resolution,[status(thm)],[f1490,f4049]) ).
fof(f13510,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| cyclic(X2,X2,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f13509,f1898]) ).
fof(f13955,plain,
! [X0,X1] :
( ~ coll(X0,X1,X0)
| cyclic(X0,X0,X0,X1) ),
inference(resolution,[status(thm)],[f1912,f2138]) ).
fof(f13956,plain,
! [X0,X1] : cyclic(X0,X0,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f13955,f13510]) ).
fof(f14040,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X0,X0,X1)
| ~ eqangle(X0,X0,X0,X0,X2,X1,X2,X2)
| cong(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f13956,f198]) ).
fof(f14041,plain,
! [X0,X1,X2] :
( ~ eqangle(X0,X0,X0,X0,X1,X2,X1,X1)
| cong(X0,X0,X2,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f14040,f13956]) ).
fof(f14360,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(resolution,[status(thm)],[f14041,f2138]) ).
fof(f14408,plain,
! [X0] :
( ~ coll(X0,X0,X0)
| midp(X0,X0,X0) ),
inference(resolution,[status(thm)],[f14360,f428]) ).
fof(f14409,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f14408,f1899]) ).
fof(f14575,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| ~ para(X0,X2,X0,X1)
| midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f14409,f2982]) ).
fof(f14576,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f14575,f107]) ).
fof(f15636,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[status(thm)],[f14576,f1879]) ).
fof(f15707,plain,
! [X0] : para(X0,sk0_26,X0,sk0_20),
inference(resolution,[status(thm)],[f15636,f1103]) ).
fof(f15780,plain,
! [X0] : midp(X0,sk0_26,sk0_20),
inference(resolution,[status(thm)],[f15707,f14576]) ).
fof(f15790,plain,
! [X0] : cong(sk0_20,X0,sk0_21,X0),
inference(backward_subsumption_resolution,[status(thm)],[f4733,f15780]) ).
fof(f15949,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f402,f15790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO592+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n023.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
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 12:20:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 19.86/2.90 % Refutation found
% 19.86/2.90 % SZS status Theorem for theBenchmark: Theorem is valid
% 19.86/2.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.25/2.98 % Elapsed time: 2.615117 seconds
% 20.25/2.98 % CPU time: 20.321732 seconds
% 20.25/2.98 % Memory used: 190.558 MB
%------------------------------------------------------------------------------