TSTP Solution File: GEO586+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO586+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:18:20 EDT 2024
% Result : Theorem 10.13s 1.75s
% Output : CNFRefutation 10.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 20
% Syntax : Number of formulae : 110 ( 24 unt; 0 def)
% Number of atoms : 265 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 259 ( 104 ~; 99 |; 35 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 450 ( 431 !; 19 ?)
% 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(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(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(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,D,E,I,NWPNT1] :
( ( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& coll(E,A,C)
& coll(E,B,D)
& circle(I,A,B,E) )
=> perp(I,E,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,O,D,E,I,NWPNT1] :
( ( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& coll(E,A,C)
& coll(E,B,D)
& circle(I,A,B,E) )
=> perp(I,E,C,D) ),
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(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(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(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,D,E,I,NWPNT1] :
( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& coll(E,A,C)
& coll(E,B,D)
& circle(I,A,B,E)
& ~ perp(I,E,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [C,D,E,I] :
( ? [A,B] :
( ? [O] :
( circle(O,A,B,C)
& ? [NWPNT1] : circle(O,A,D,NWPNT1) )
& coll(E,A,C)
& coll(E,B,D)
& circle(I,A,B,E) )
& ~ perp(I,E,C,D) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( circle(sk0_26,sk0_24,sk0_25,sk0_20)
& circle(sk0_26,sk0_24,sk0_21,sk0_27)
& coll(sk0_22,sk0_24,sk0_20)
& coll(sk0_22,sk0_25,sk0_21)
& circle(sk0_23,sk0_24,sk0_25,sk0_22)
& ~ perp(sk0_23,sk0_22,sk0_20,sk0_21) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f376,plain,
circle(sk0_23,sk0_24,sk0_25,sk0_22),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f377,plain,
~ perp(sk0_23,sk0_22,sk0_20,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f1408,plain,
perp(sk0_11(sk0_23,sk0_24),sk0_24,sk0_24,sk0_23),
inference(resolution,[status(thm)],[f334,f376]) ).
fof(f1421,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_11(sk0_23,sk0_24),sk0_24)
| para(X0,X1,sk0_24,sk0_23) ),
inference(resolution,[status(thm)],[f1408,f117]) ).
fof(f1422,plain,
perp(sk0_24,sk0_23,sk0_11(sk0_23,sk0_24),sk0_24),
inference(resolution,[status(thm)],[f1408,f114]) ).
fof(f1611,plain,
para(sk0_24,sk0_23,sk0_24,sk0_23),
inference(resolution,[status(thm)],[f1421,f1422]) ).
fof(f1637,plain,
! [X0,X1] : eqangle(sk0_24,sk0_23,X0,X1,sk0_24,sk0_23,X0,X1),
inference(resolution,[status(thm)],[f1611,f189]) ).
fof(f3192,plain,
! [X0,X1] : eqangle(sk0_24,sk0_23,sk0_24,sk0_23,X0,X1,X0,X1),
inference(resolution,[status(thm)],[f1637,f144]) ).
fof(f3194,plain,
! [X0,X1] : eqangle(X0,X1,sk0_24,sk0_23,X0,X1,sk0_24,sk0_23),
inference(resolution,[status(thm)],[f1637,f140]) ).
fof(f7810,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f3194,f186]) ).
fof(f7842,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f7810,f256]) ).
fof(f8100,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[status(thm)],[f7842,f100]) ).
fof(f8360,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[status(thm)],[f8100,f98]) ).
fof(f8401,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[status(thm)],[f8360,f103]) ).
fof(f8402,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f8401,f8360]) ).
fof(f8411,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,f8402]) ).
fof(f8412,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f8402]) ).
fof(f8473,plain,
! [X0] : cyclic(sk0_23,sk0_23,sk0_24,X0),
inference(resolution,[status(thm)],[f8411,f3192]) ).
fof(f8714,plain,
! [X0,X1] :
( ~ cyclic(sk0_23,sk0_23,sk0_24,X0)
| cyclic(sk0_23,sk0_24,X0,X1) ),
inference(resolution,[status(thm)],[f8473,f136]) ).
fof(f8715,plain,
! [X0,X1] : cyclic(sk0_23,sk0_24,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f8714,f8473]) ).
fof(f8733,plain,
! [X0,X1,X2] :
( ~ cyclic(sk0_23,sk0_24,X0,X1)
| cyclic(sk0_24,X0,X1,X2) ),
inference(resolution,[status(thm)],[f8715,f136]) ).
fof(f8734,plain,
! [X0,X1,X2] : cyclic(sk0_24,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f8733,f8715]) ).
fof(f8743,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(sk0_24,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f8734,f136]) ).
fof(f8744,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f8743,f8734]) ).
fof(f8748,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,f8744]) ).
fof(f8749,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)],[f8748,f8744]) ).
fof(f8752,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,f8744]) ).
fof(f8754,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2),
inference(backward_subsumption_resolution,[status(thm)],[f191,f8744]) ).
fof(f8764,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)],[f8749,f8744]) ).
fof(f9065,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f8754,f8764]) ).
fof(f9083,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X1)
| perp(X1,X0,X0,X2) ),
inference(resolution,[status(thm)],[f9065,f8752]) ).
fof(f9084,plain,
! [X0,X1,X2] : perp(X0,X1,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f9083,f9065]) ).
fof(f9085,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[status(thm)],[f9065,f8412]) ).
fof(f9131,plain,
! [X0,X1,X2,X3] :
( ~ midp(X0,X1,X2)
| cong(X1,X0,X3,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f9084]) ).
fof(f9435,plain,
! [X0,X1,X2] : cong(X0,X1,X2,X1),
inference(resolution,[status(thm)],[f9131,f9085]) ).
fof(f9436,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X3,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f232,f9435]) ).
fof(f9437,plain,
! [X0,X1,X2,X3] : perp(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f9436,f9435]) ).
fof(f9454,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f377,f9437]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO586+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:50:28 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 10.13/1.75 % Refutation found
% 10.13/1.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.13/1.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.85/1.80 % Elapsed time: 1.425455 seconds
% 10.85/1.80 % CPU time: 11.034161 seconds
% 10.85/1.80 % Total memory used: 133.044 MB
% 10.85/1.80 % Net memory used: 123.591 MB
%------------------------------------------------------------------------------