TSTP Solution File: GEO606+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO606+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:18:23 EDT 2024
% Result : Theorem 7.14s 1.27s
% Output : CNFRefutation 7.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 18
% Syntax : Number of formulae : 101 ( 23 unt; 0 def)
% Number of atoms : 283 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 280 ( 98 ~; 93 |; 70 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 18 ( 18 usr; 18 con; 0-0 aty)
% Number of variables : 455 ( 419 !; 36 ?)
% 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(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(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(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(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(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(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(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,P,D,E,I,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :
( ( perp(P,A,P,B)
& circle(A,P,NWPNT1,NWPNT2)
& circle(B,P,NWPNT3,NWPNT4)
& circle(A,P,D,NWPNT5)
& circle(A,D,E,NWPNT6)
& coll(E,D,A)
& circle(A,P,I,NWPNT7)
& circle(B,P,I,NWPNT8)
& coll(F,D,I)
& circle(B,P,F,NWPNT9)
& circle(B,F,G,NWPNT01)
& coll(G,F,B) )
=> perp(G,F,D,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,P,D,E,I,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :
( ( perp(P,A,P,B)
& circle(A,P,NWPNT1,NWPNT2)
& circle(B,P,NWPNT3,NWPNT4)
& circle(A,P,D,NWPNT5)
& circle(A,D,E,NWPNT6)
& coll(E,D,A)
& circle(A,P,I,NWPNT7)
& circle(B,P,I,NWPNT8)
& coll(F,D,I)
& circle(B,P,F,NWPNT9)
& circle(B,F,G,NWPNT01)
& coll(G,F,B) )
=> perp(G,F,D,E) ),
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(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(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(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(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(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(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(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,P,D,E,I,F,G,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9,NWPNT01] :
( perp(P,A,P,B)
& circle(A,P,NWPNT1,NWPNT2)
& circle(B,P,NWPNT3,NWPNT4)
& circle(A,P,D,NWPNT5)
& circle(A,D,E,NWPNT6)
& coll(E,D,A)
& circle(A,P,I,NWPNT7)
& circle(B,P,I,NWPNT8)
& coll(F,D,I)
& circle(B,P,F,NWPNT9)
& circle(B,F,G,NWPNT01)
& coll(G,F,B)
& ~ perp(G,F,D,E) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [D,E,F,G] :
( ? [B] :
( ? [P] :
( ? [I] :
( ? [A] :
( perp(P,A,P,B)
& ? [NWPNT1,NWPNT2] : circle(A,P,NWPNT1,NWPNT2)
& ? [NWPNT3,NWPNT4] : circle(B,P,NWPNT3,NWPNT4)
& ? [NWPNT5] : circle(A,P,D,NWPNT5)
& ? [NWPNT6] : circle(A,D,E,NWPNT6)
& coll(E,D,A)
& ? [NWPNT7] : circle(A,P,I,NWPNT7) )
& ? [NWPNT8] : circle(B,P,I,NWPNT8)
& coll(F,D,I) )
& ? [NWPNT9] : circle(B,P,F,NWPNT9) )
& ? [NWPNT01] : circle(B,F,G,NWPNT01)
& coll(G,F,B) )
& ~ perp(G,F,D,E) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( perp(sk0_25,sk0_27,sk0_25,sk0_24)
& circle(sk0_27,sk0_25,sk0_28,sk0_29)
& circle(sk0_24,sk0_25,sk0_30,sk0_31)
& circle(sk0_27,sk0_25,sk0_20,sk0_32)
& circle(sk0_27,sk0_20,sk0_21,sk0_33)
& coll(sk0_21,sk0_20,sk0_27)
& circle(sk0_27,sk0_25,sk0_26,sk0_34)
& circle(sk0_24,sk0_25,sk0_26,sk0_35)
& coll(sk0_22,sk0_20,sk0_26)
& circle(sk0_24,sk0_25,sk0_22,sk0_36)
& circle(sk0_24,sk0_22,sk0_23,sk0_37)
& coll(sk0_23,sk0_22,sk0_24)
& ~ perp(sk0_23,sk0_22,sk0_20,sk0_21) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f372,plain,
perp(sk0_25,sk0_27,sk0_25,sk0_24),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f384,plain,
~ perp(sk0_23,sk0_22,sk0_20,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f553,plain,
perp(sk0_25,sk0_24,sk0_25,sk0_27),
inference(resolution,[status(thm)],[f114,f372]) ).
fof(f833,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_25,sk0_27)
| para(X0,X1,sk0_25,sk0_24) ),
inference(resolution,[status(thm)],[f117,f372]) ).
fof(f1141,plain,
para(sk0_25,sk0_24,sk0_25,sk0_24),
inference(resolution,[status(thm)],[f833,f553]) ).
fof(f1873,plain,
! [X0,X1] : eqangle(sk0_25,sk0_24,X0,X1,sk0_25,sk0_24,X0,X1),
inference(resolution,[status(thm)],[f189,f1141]) ).
fof(f1998,plain,
! [X0,X1] : eqangle(sk0_25,sk0_24,sk0_25,sk0_24,X0,X1,X0,X1),
inference(resolution,[status(thm)],[f1873,f144]) ).
fof(f2000,plain,
! [X0,X1] : eqangle(X0,X1,sk0_25,sk0_24,X0,X1,sk0_25,sk0_24),
inference(resolution,[status(thm)],[f1873,f140]) ).
fof(f6954,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f2000,f186]) ).
fof(f6980,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[status(thm)],[f6954,f189]) ).
fof(f6983,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f6954,f256]) ).
fof(f7268,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[status(thm)],[f6983,f100]) ).
fof(f7554,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[status(thm)],[f7268,f98]) ).
fof(f7593,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[status(thm)],[f7554,f103]) ).
fof(f7594,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f7593,f7554]) ).
fof(f7600,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f7594]) ).
fof(f7604,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,f7594]) ).
fof(f7646,plain,
! [X0] : cyclic(sk0_24,sk0_24,sk0_25,X0),
inference(resolution,[status(thm)],[f7604,f1998]) ).
fof(f7737,plain,
! [X0,X1] :
( ~ cyclic(sk0_24,sk0_24,sk0_25,X0)
| cyclic(sk0_24,sk0_25,X0,X1) ),
inference(resolution,[status(thm)],[f7646,f136]) ).
fof(f7738,plain,
! [X0,X1] : cyclic(sk0_24,sk0_25,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f7737,f7646]) ).
fof(f7754,plain,
! [X0,X1,X2] :
( ~ cyclic(sk0_24,sk0_25,X0,X1)
| cyclic(sk0_25,X0,X1,X2) ),
inference(resolution,[status(thm)],[f7738,f136]) ).
fof(f7755,plain,
! [X0,X1,X2] : cyclic(sk0_25,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f7754,f7738]) ).
fof(f7764,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(sk0_25,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f7755,f136]) ).
fof(f7765,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f7764,f7755]) ).
fof(f7769,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,f7765]) ).
fof(f7770,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)],[f7769,f7765]) ).
fof(f7785,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,f7765]) ).
fof(f7848,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)],[f7770,f7765]) ).
fof(f7862,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f7848,f6980]) ).
fof(f7912,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X1)
| perp(X1,X0,X0,X2) ),
inference(resolution,[status(thm)],[f7862,f7785]) ).
fof(f7913,plain,
! [X0,X1,X2] : perp(X0,X1,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f7912,f7862]) ).
fof(f7914,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[status(thm)],[f7862,f7600]) ).
fof(f7955,plain,
! [X0,X1,X2,X3] :
( ~ midp(X0,X1,X2)
| cong(X1,X0,X3,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f7913]) ).
fof(f8583,plain,
! [X0,X1,X2] : cong(X0,X1,X2,X1),
inference(resolution,[status(thm)],[f7955,f7914]) ).
fof(f8611,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X3,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f232,f8583]) ).
fof(f8612,plain,
! [X0,X1,X2,X3] : perp(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f8611,f8583]) ).
fof(f8621,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f384,f8612]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO606+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n027.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 02:00:47 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.34 % Drodi V3.6.0
% 7.14/1.27 % Refutation found
% 7.14/1.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 7.14/1.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.14/1.30 % Elapsed time: 0.961221 seconds
% 7.14/1.30 % CPU time: 7.447624 seconds
% 7.14/1.30 % Total memory used: 122.235 MB
% 7.14/1.30 % Net memory used: 115.197 MB
%------------------------------------------------------------------------------