TSTP Solution File: GEO559+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO559+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 20:18:15 EDT 2024
% Result : Theorem 4.67s 1.00s
% Output : CNFRefutation 4.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 23
% Syntax : Number of formulae : 121 ( 28 unt; 0 def)
% Number of atoms : 287 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 273 ( 107 ~; 102 |; 40 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 516 ( 493 !; 23 ?)
% 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(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f10,axiom,
! [A,B,C,D,E,F] :
( ( para(A,B,C,D)
& perp(C,D,E,F) )
=> perp(A,B,E,F) ),
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(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(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(f45,axiom,
! [A,B,C,E,F] :
( ( midp(E,A,B)
& midp(F,A,C) )
=> para(E,F,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [A,B,P,Q] :
( ( cong(A,P,B,P)
& cong(A,Q,B,Q) )
=> perp(A,B,P,Q) ),
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(f69,axiom,
! [A,B,C] :
( midp(A,B,C)
=> cong(A,B,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,axiom,
! [A,B,C,O] :
? [P] :
( circle(O,A,B,C)
=> perp(P,A,A,O) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,O,F,P,E,D,NWPNT1,NWPNT2] :
( ( circle(O,A,B,C)
& circle(P,A,B,F)
& circle(P,A,E,NWPNT1)
& coll(E,A,C)
& circle(O,B,D,NWPNT2)
& coll(D,B,F) )
=> para(C,D,E,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,O,F,P,E,D,NWPNT1,NWPNT2] :
( ( circle(O,A,B,C)
& circle(P,A,B,F)
& circle(P,A,E,NWPNT1)
& coll(E,A,C)
& circle(O,B,D,NWPNT2)
& coll(D,B,F) )
=> para(C,D,E,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(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(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(f118,plain,
! [A,B,C,D,E,F] :
( ~ para(A,B,C,D)
| ~ perp(C,D,E,F)
| perp(A,B,E,F) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f119,plain,
! [A,B,E,F] :
( ! [C,D] :
( ~ para(A,B,C,D)
| ~ perp(C,D,E,F) )
| perp(A,B,E,F) ),
inference(miniscoping,[status(esa)],[f118]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f119]) ).
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(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(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(f199,plain,
! [A,B,C,E,F] :
( ~ midp(E,A,B)
| ~ midp(F,A,C)
| para(E,F,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f200,plain,
! [B,C,E,F] :
( ! [A] :
( ~ midp(E,A,B)
| ~ midp(F,A,C) )
| para(E,F,B,C) ),
inference(miniscoping,[status(esa)],[f199]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f231,plain,
! [A,B,P,Q] :
( ~ cong(A,P,B,P)
| ~ cong(A,Q,B,Q)
| perp(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f57]) ).
fof(f232,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f231]) ).
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(f259,plain,
! [A,B,C] :
( ~ midp(A,B,C)
| cong(A,B,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f69]) ).
fof(f260,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f259]) ).
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,O,F,P,E,D,NWPNT1,NWPNT2] :
( circle(O,A,B,C)
& circle(P,A,B,F)
& circle(P,A,E,NWPNT1)
& coll(E,A,C)
& circle(O,B,D,NWPNT2)
& coll(D,B,F)
& ~ para(C,D,E,F) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [C,F,E,D] :
( ? [B] :
( ? [O] :
( ? [A] :
( ? [P] :
( circle(O,A,B,C)
& circle(P,A,B,F)
& ? [NWPNT1] : circle(P,A,E,NWPNT1) )
& coll(E,A,C) )
& ? [NWPNT2] : circle(O,B,D,NWPNT2) )
& coll(D,B,F) )
& ~ para(C,D,E,F) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( circle(sk0_25,sk0_26,sk0_24,sk0_20)
& circle(sk0_27,sk0_26,sk0_24,sk0_21)
& circle(sk0_27,sk0_26,sk0_22,sk0_28)
& coll(sk0_22,sk0_26,sk0_20)
& circle(sk0_25,sk0_24,sk0_23,sk0_29)
& coll(sk0_23,sk0_24,sk0_21)
& ~ para(sk0_20,sk0_23,sk0_22,sk0_21) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f374,plain,
circle(sk0_27,sk0_26,sk0_22,sk0_28),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f378,plain,
~ para(sk0_20,sk0_23,sk0_22,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f729,plain,
perp(sk0_11(sk0_27,sk0_26),sk0_26,sk0_26,sk0_27),
inference(resolution,[status(thm)],[f334,f374]) ).
fof(f762,plain,
perp(sk0_26,sk0_27,sk0_11(sk0_27,sk0_26),sk0_26),
inference(resolution,[status(thm)],[f729,f114]) ).
fof(f919,plain,
! [X0,X1] :
( ~ perp(sk0_11(sk0_27,sk0_26),sk0_26,X0,X1)
| para(sk0_26,sk0_27,X0,X1) ),
inference(resolution,[status(thm)],[f762,f117]) ).
fof(f2107,plain,
para(sk0_26,sk0_27,sk0_26,sk0_27),
inference(resolution,[status(thm)],[f919,f729]) ).
fof(f2119,plain,
! [X0,X1] : eqangle(sk0_26,sk0_27,X0,X1,sk0_26,sk0_27,X0,X1),
inference(resolution,[status(thm)],[f2107,f189]) ).
fof(f2202,plain,
! [X0,X1] : eqangle(X0,X1,sk0_26,sk0_27,X0,X1,sk0_26,sk0_27),
inference(resolution,[status(thm)],[f2119,f140]) ).
fof(f3088,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f2202,f186]) ).
fof(f3094,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[status(thm)],[f3088,f189]) ).
fof(f3096,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f3088,f256]) ).
fof(f3097,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[f3088,f105]) ).
fof(f3173,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[status(thm)],[f3096,f100]) ).
fof(f3217,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[status(thm)],[f3173,f98]) ).
fof(f3253,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| coll(X2,X1,X0) ),
inference(resolution,[status(thm)],[f3217,f103]) ).
fof(f3254,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3253,f3217]) ).
fof(f3259,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,f3254]) ).
fof(f3263,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f3254]) ).
fof(f3284,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(resolution,[status(thm)],[f3097,f189]) ).
fof(f3289,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X1,X2,X3,X2,X3),
inference(resolution,[status(thm)],[f3094,f144]) ).
fof(f3300,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X1,X0,X2,X3,X2,X3),
inference(resolution,[status(thm)],[f3284,f144]) ).
fof(f3339,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X1,X2,X3,X3,X2),
inference(resolution,[status(thm)],[f3300,f142]) ).
fof(f3675,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X0,X1,X2)
| ~ cyclic(X0,X0,X1,X2)
| ~ cyclic(X0,X0,X1,X2)
| cong(X0,X0,X2,X2) ),
inference(resolution,[status(thm)],[f3339,f198]) ).
fof(f3676,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X0,X1,X2)
| cong(X0,X0,X2,X2) ),
inference(duplicate_literals_removal,[status(esa)],[f3675]) ).
fof(f3839,plain,
! [X0,X1,X2] : cyclic(X0,X0,X1,X2),
inference(resolution,[status(thm)],[f3259,f3289]) ).
fof(f3843,plain,
! [X0,X1] : cong(X0,X0,X1,X1),
inference(backward_subsumption_resolution,[status(thm)],[f3676,f3839]) ).
fof(f3854,plain,
! [X0] : midp(X0,X0,X0),
inference(resolution,[status(thm)],[f3843,f3263]) ).
fof(f3876,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| ~ para(X0,X2,X0,X1)
| midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f3854,f252]) ).
fof(f3877,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f3876,f107]) ).
fof(f3879,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| para(X1,X0,X1,X2) ),
inference(resolution,[status(thm)],[f3854,f201]) ).
fof(f3896,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[status(thm)],[f3877,f3088]) ).
fof(f3898,plain,
! [X0,X1] : para(X0,X1,X0,X0),
inference(resolution,[status(thm)],[f3896,f3879]) ).
fof(f3899,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f3896,f260]) ).
fof(f3910,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X0,X1,X2)
| perp(X0,X3,X1,X2) ),
inference(resolution,[status(thm)],[f3898,f120]) ).
fof(f3987,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X2,X1) ),
inference(resolution,[status(thm)],[f3899,f232]) ).
fof(f3988,plain,
! [X0,X1,X2] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3987,f3899]) ).
fof(f4005,plain,
! [X0,X1,X2,X3] : perp(X0,X1,X2,X3),
inference(backward_subsumption_resolution,[status(thm)],[f3910,f3988]) ).
fof(f4007,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X0,X1,X2,X3)
| para(X4,X5,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f117,f4005]) ).
fof(f4008,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f4007,f4005]) ).
fof(f4009,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f378,f4008]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GEO559+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36 % Computer : n013.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Apr 30 01:25:19 EDT 2024
% 0.20/0.36 % CPUTime :
% 0.20/0.37 % Drodi V3.6.0
% 4.67/1.00 % Refutation found
% 4.67/1.00 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.67/1.00 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.16/1.04 % Elapsed time: 0.660138 seconds
% 5.16/1.04 % CPU time: 5.046055 seconds
% 5.16/1.04 % Total memory used: 109.304 MB
% 5.16/1.04 % Net memory used: 101.164 MB
%------------------------------------------------------------------------------