TSTP Solution File: GEO575+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO575+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:09:12 EDT 2023
% Result : Theorem 10.30s 1.71s
% Output : CNFRefutation 10.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 17
% Syntax : Number of formulae : 96 ( 24 unt; 0 def)
% Number of atoms : 247 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 238 ( 87 ~; 84 |; 49 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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 : 351 (; 333 !; 18 ?)
% 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(f7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
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(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(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(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(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(f95,conjecture,
! [A,B,C,O,H,C1,A1,NWPNT1,NWPNT2] :
( ( circle(O,A,B,C)
& perp(A,B,C,H)
& perp(A,C,B,H)
& perp(B,C,A,H)
& circle(O,C,C1,NWPNT1)
& coll(C1,C,H)
& circle(O,A,A1,NWPNT2)
& coll(A1,A,H) )
=> cong(B,A1,B,C1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,O,H,C1,A1,NWPNT1,NWPNT2] :
( ( circle(O,A,B,C)
& perp(A,B,C,H)
& perp(A,C,B,H)
& perp(B,C,A,H)
& circle(O,C,C1,NWPNT1)
& coll(C1,C,H)
& circle(O,A,A1,NWPNT2)
& coll(A1,A,H) )
=> cong(B,A1,B,C1) ),
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(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(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(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(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(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(f369,plain,
? [A,B,C,O,H,C1,A1,NWPNT1,NWPNT2] :
( circle(O,A,B,C)
& perp(A,B,C,H)
& perp(A,C,B,H)
& perp(B,C,A,H)
& circle(O,C,C1,NWPNT1)
& coll(C1,C,H)
& circle(O,A,A1,NWPNT2)
& coll(A1,A,H)
& ~ cong(B,A1,B,C1) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [B,C1,A1] :
( ? [A,H] :
( ? [O] :
( ? [C] :
( circle(O,A,B,C)
& perp(A,B,C,H)
& perp(A,C,B,H)
& perp(B,C,A,H)
& ? [NWPNT1] : circle(O,C,C1,NWPNT1)
& coll(C1,C,H) )
& ? [NWPNT2] : circle(O,A,A1,NWPNT2) )
& coll(A1,A,H) )
& ~ cong(B,A1,B,C1) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( circle(sk0_25,sk0_23,sk0_20,sk0_26)
& perp(sk0_23,sk0_20,sk0_26,sk0_24)
& perp(sk0_23,sk0_26,sk0_20,sk0_24)
& perp(sk0_20,sk0_26,sk0_23,sk0_24)
& circle(sk0_25,sk0_26,sk0_21,sk0_27)
& coll(sk0_21,sk0_26,sk0_24)
& circle(sk0_25,sk0_23,sk0_22,sk0_28)
& coll(sk0_22,sk0_23,sk0_24)
& ~ cong(sk0_20,sk0_22,sk0_20,sk0_21) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f373,plain,
perp(sk0_23,sk0_20,sk0_26,sk0_24),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f380,plain,
~ cong(sk0_20,sk0_22,sk0_20,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f422,plain,
perp(sk0_26,sk0_24,sk0_23,sk0_20),
inference(resolution,[status(thm)],[f114,f373]) ).
fof(f647,plain,
! [X0,X1] :
( ~ perp(sk0_26,sk0_24,X0,X1)
| para(sk0_23,sk0_20,X0,X1) ),
inference(resolution,[status(thm)],[f117,f373]) ).
fof(f706,plain,
perp(sk0_26,sk0_24,sk0_20,sk0_23),
inference(resolution,[status(thm)],[f422,f112]) ).
fof(f762,plain,
para(sk0_23,sk0_20,sk0_23,sk0_20),
inference(resolution,[status(thm)],[f647,f422]) ).
fof(f1760,plain,
para(sk0_23,sk0_20,sk0_20,sk0_23),
inference(resolution,[status(thm)],[f706,f647]) ).
fof(f2034,plain,
para(sk0_20,sk0_23,sk0_23,sk0_20),
inference(resolution,[status(thm)],[f1760,f107]) ).
fof(f2274,plain,
para(sk0_20,sk0_23,sk0_20,sk0_23),
inference(resolution,[status(thm)],[f2034,f105]) ).
fof(f3188,plain,
! [X0,X1] : eqangle(sk0_23,sk0_20,X0,X1,sk0_23,sk0_20,X0,X1),
inference(resolution,[status(thm)],[f189,f762]) ).
fof(f3191,plain,
! [X0,X1] : eqangle(sk0_20,sk0_23,X0,X1,sk0_20,sk0_23,X0,X1),
inference(resolution,[status(thm)],[f189,f2274]) ).
fof(f3360,plain,
! [X0,X1] : eqangle(sk0_23,sk0_20,sk0_23,sk0_20,X0,X1,X0,X1),
inference(resolution,[status(thm)],[f3188,f144]) ).
fof(f4517,plain,
! [X0] :
( ~ cyclic(sk0_23,X0,sk0_20,sk0_23)
| ~ cyclic(sk0_23,X0,sk0_20,X0)
| ~ cyclic(sk0_23,X0,sk0_20,sk0_20)
| cong(sk0_23,X0,sk0_23,X0) ),
inference(resolution,[status(thm)],[f3191,f198]) ).
fof(f4578,plain,
! [X0] :
( ~ coll(sk0_23,X0,sk0_20)
| cyclic(sk0_20,sk0_20,sk0_23,X0) ),
inference(resolution,[status(thm)],[f3360,f195]) ).
fof(f4579,plain,
! [X0] :
( coll(sk0_23,X0,sk0_20)
| cyclic(sk0_20,sk0_20,sk0_23,X0) ),
inference(resolution,[status(thm)],[f3360,f193]) ).
fof(f4580,plain,
! [X0] : cyclic(sk0_20,sk0_20,sk0_23,X0),
inference(forward_subsumption_resolution,[status(thm)],[f4579,f4578]) ).
fof(f4612,plain,
! [X0,X1] :
( ~ cyclic(sk0_20,sk0_20,sk0_23,X0)
| cyclic(sk0_20,sk0_23,X1,X0) ),
inference(resolution,[status(thm)],[f4580,f136]) ).
fof(f4613,plain,
! [X0,X1] : cyclic(sk0_20,sk0_23,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f4612,f4580]) ).
fof(f4619,plain,
! [X0,X1,X2] :
( ~ cyclic(sk0_20,sk0_23,X0,X1)
| cyclic(sk0_23,X0,X2,X1) ),
inference(resolution,[status(thm)],[f4613,f136]) ).
fof(f4620,plain,
! [X0,X1,X2] : cyclic(sk0_23,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f4619,f4613]) ).
fof(f4624,plain,
! [X0] :
( ~ cyclic(sk0_23,X0,sk0_20,X0)
| ~ cyclic(sk0_23,X0,sk0_20,sk0_20)
| cong(sk0_23,X0,sk0_23,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f4517,f4620]) ).
fof(f4625,plain,
! [X0] :
( ~ cyclic(sk0_23,X0,sk0_20,sk0_20)
| cong(sk0_23,X0,sk0_23,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4624,f4620]) ).
fof(f4634,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(sk0_23,X0,X1,X2)
| cyclic(X0,X1,X3,X2) ),
inference(resolution,[status(thm)],[f4620,f136]) ).
fof(f4635,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f4634,f4620]) ).
fof(f4650,plain,
! [X0] : cong(sk0_23,X0,sk0_23,X0),
inference(backward_subsumption_resolution,[status(thm)],[f4625,f4635]) ).
fof(f4668,plain,
! [X0] :
( ~ coll(sk0_23,X0,X0)
| midp(sk0_23,X0,X0) ),
inference(resolution,[status(thm)],[f4650,f258]) ).
fof(f4669,plain,
! [X0,X1] :
( ~ cong(sk0_23,X0,sk0_23,X0)
| perp(sk0_23,sk0_23,X1,X0) ),
inference(resolution,[status(thm)],[f4650,f232]) ).
fof(f4670,plain,
! [X0,X1] : perp(sk0_23,sk0_23,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f4669,f4650]) ).
fof(f4690,plain,
! [X0,X1] : perp(X0,X1,sk0_23,sk0_23),
inference(resolution,[status(thm)],[f4670,f114]) ).
fof(f4798,plain,
! [X0,X1,X2,X3] :
( ~ perp(sk0_23,sk0_23,X0,X1)
| para(X2,X3,X0,X1) ),
inference(resolution,[status(thm)],[f4690,f117]) ).
fof(f4799,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f4798,f4670]) ).
fof(f4802,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ coll(X3,X1,X4)
| midp(X3,X1,X4) ),
inference(backward_subsumption_resolution,[status(thm)],[f204,f4799]) ).
fof(f4804,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(backward_subsumption_resolution,[status(thm)],[f256,f4799]) ).
fof(f4841,plain,
! [X0] : midp(sk0_23,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f4668,f4804]) ).
fof(f4843,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| midp(X3,X1,X4) ),
inference(backward_subsumption_resolution,[status(thm)],[f4802,f4804]) ).
fof(f5021,plain,
! [X0,X1,X2] : midp(X0,X1,X2),
inference(resolution,[status(thm)],[f4843,f4841]) ).
fof(f5078,plain,
! [X0,X1,X2] : cong(X0,X1,X0,X2),
inference(backward_subsumption_resolution,[status(thm)],[f260,f5021]) ).
fof(f5079,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f380,f5078]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GEO575+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n022.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 May 30 11:56:57 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.15/0.34 % Drodi V3.5.1
% 10.30/1.71 % Refutation found
% 10.30/1.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.30/1.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.30/1.75 % Elapsed time: 1.400956 seconds
% 10.30/1.75 % CPU time: 10.649340 seconds
% 10.30/1.75 % Memory used: 114.928 MB
%------------------------------------------------------------------------------