TSTP Solution File: GEO546+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO546+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:09:07 EDT 2023
% Result : Theorem 2.80s 0.75s
% Output : CNFRefutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 24
% Syntax : Number of formulae : 142 ( 39 unt; 0 def)
% Number of atoms : 334 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 321 ( 129 ~; 124 |; 43 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 552 (; 540 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,E,F,H] :
( ( perp(E,C,A,B)
& coll(E,A,B)
& perp(F,A,B,C)
& coll(F,B,C)
& coll(H,C,E)
& coll(H,A,F) )
=> perp(B,H,A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,E,F,H] :
( ( perp(E,C,A,B)
& coll(E,A,B)
& perp(F,A,B,C)
& coll(F,B,C)
& coll(H,C,E)
& coll(H,A,F) )
=> perp(B,H,A,C) ),
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(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(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(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(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(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(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,C,E,F,H] :
( perp(E,C,A,B)
& coll(E,A,B)
& perp(F,A,B,C)
& coll(F,B,C)
& coll(H,C,E)
& coll(H,A,F)
& ~ perp(B,H,A,C) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [A,B,C,H] :
( ? [F] :
( ? [E] :
( perp(E,C,A,B)
& coll(E,A,B)
& perp(F,A,B,C)
& coll(F,B,C)
& coll(H,C,E) )
& coll(H,A,F) )
& ~ perp(B,H,A,C) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( perp(sk0_25,sk0_22,sk0_20,sk0_21)
& coll(sk0_25,sk0_20,sk0_21)
& perp(sk0_24,sk0_20,sk0_21,sk0_22)
& coll(sk0_24,sk0_21,sk0_22)
& coll(sk0_23,sk0_22,sk0_25)
& coll(sk0_23,sk0_20,sk0_24)
& ~ perp(sk0_21,sk0_23,sk0_20,sk0_22) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f372,plain,
perp(sk0_25,sk0_22,sk0_20,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f378,plain,
~ perp(sk0_21,sk0_23,sk0_20,sk0_22),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f416,plain,
perp(sk0_25,sk0_22,sk0_21,sk0_20),
inference(resolution,[status(thm)],[f112,f372]) ).
fof(f454,plain,
perp(sk0_20,sk0_21,sk0_25,sk0_22),
inference(resolution,[status(thm)],[f114,f372]) ).
fof(f565,plain,
perp(sk0_21,sk0_20,sk0_25,sk0_22),
inference(resolution,[status(thm)],[f416,f114]) ).
fof(f599,plain,
perp(sk0_20,sk0_21,sk0_22,sk0_25),
inference(resolution,[status(thm)],[f454,f112]) ).
fof(f647,plain,
! [X0,X1] :
( ~ perp(sk0_20,sk0_21,X0,X1)
| para(sk0_25,sk0_22,X0,X1) ),
inference(resolution,[status(thm)],[f117,f372]) ).
fof(f761,plain,
perp(sk0_21,sk0_20,sk0_22,sk0_25),
inference(resolution,[status(thm)],[f565,f112]) ).
fof(f766,plain,
para(sk0_25,sk0_22,sk0_22,sk0_25),
inference(resolution,[status(thm)],[f599,f647]) ).
fof(f1204,plain,
! [X0,X1] :
( ~ perp(sk0_22,sk0_25,X0,X1)
| para(sk0_21,sk0_20,X0,X1) ),
inference(resolution,[status(thm)],[f761,f117]) ).
fof(f1289,plain,
para(sk0_22,sk0_25,sk0_25,sk0_22),
inference(resolution,[status(thm)],[f766,f107]) ).
fof(f2122,plain,
para(sk0_22,sk0_25,sk0_22,sk0_25),
inference(resolution,[status(thm)],[f1289,f105]) ).
fof(f2663,plain,
! [X0,X1] : eqangle(sk0_22,sk0_25,X0,X1,sk0_22,sk0_25,X0,X1),
inference(resolution,[status(thm)],[f189,f2122]) ).
fof(f2682,plain,
! [X0,X1] : eqangle(X0,X1,sk0_22,sk0_25,X0,X1,sk0_22,sk0_25),
inference(resolution,[status(thm)],[f2663,f140]) ).
fof(f2773,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f2682,f186]) ).
fof(f2803,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[status(thm)],[f2773,f189]) ).
fof(f2804,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f2773,f256]) ).
fof(f2806,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[f2773,f105]) ).
fof(f3018,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[status(thm)],[f2804,f100]) ).
fof(f3172,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[status(thm)],[f3018,f98]) ).
fof(f3203,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| coll(X2,X1,X0) ),
inference(resolution,[status(thm)],[f3172,f103]) ).
fof(f3204,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3203,f3172]) ).
fof(f3210,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f3204]) ).
fof(f3215,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X0,X3,X2,X4)
| midp(X3,X1,X4) ),
inference(backward_subsumption_resolution,[status(thm)],[f204,f3204]) ).
fof(f3216,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,f3204]) ).
fof(f3225,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(resolution,[status(thm)],[f2806,f189]) ).
fof(f3247,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X1,X2,X3,X2,X3),
inference(resolution,[status(thm)],[f2803,f144]) ).
fof(f3253,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X1,X0,X2,X3,X2,X3),
inference(resolution,[status(thm)],[f3225,f144]) ).
fof(f3266,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X1,X2,X3,X3,X2),
inference(resolution,[status(thm)],[f3253,f142]) ).
fof(f3341,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)],[f198,f3266]) ).
fof(f3342,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X0,X1,X2)
| cong(X0,X0,X2,X2) ),
inference(duplicate_literals_removal,[status(esa)],[f3341]) ).
fof(f3351,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X2)
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f198,f2803]) ).
fof(f3440,plain,
! [X0,X1,X2] : cyclic(X0,X0,X1,X2),
inference(resolution,[status(thm)],[f3216,f3247]) ).
fof(f3442,plain,
! [X0,X1,X2] : cyclic(X0,X1,X2,X2),
inference(resolution,[status(thm)],[f3216,f2803]) ).
fof(f3444,plain,
! [X0,X1] : cong(X0,X0,X1,X1),
inference(backward_subsumption_resolution,[status(thm)],[f3342,f3440]) ).
fof(f3446,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f3351,f3442]) ).
fof(f3448,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X3,X2) ),
inference(resolution,[status(thm)],[f3440,f136]) ).
fof(f3449,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f3448,f3440]) ).
fof(f3456,plain,
! [X0,X1,X2] :
( ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f3446,f3449]) ).
fof(f3457,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f3456,f3449]) ).
fof(f3462,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,f3449]) ).
fof(f3465,plain,
! [X0] : midp(X0,X0,X0),
inference(resolution,[status(thm)],[f3444,f3210]) ).
fof(f3470,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| midp(X1,X0,X2) ),
inference(resolution,[status(thm)],[f3465,f3215]) ).
fof(f3573,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X1)
| perp(X2,X0,X0,X1) ),
inference(resolution,[status(thm)],[f3462,f3457]) ).
fof(f3574,plain,
! [X0,X1,X2] : perp(X0,X1,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3573,f3457]) ).
fof(f3583,plain,
! [X0,X1,X2,X3] :
( ~ midp(X0,X1,X2)
| cong(X1,X0,X3,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f222,f3574]) ).
fof(f3584,plain,
! [X0] : para(sk0_21,sk0_20,sk0_25,X0),
inference(resolution,[status(thm)],[f3574,f1204]) ).
fof(f3603,plain,
! [X0,X1,X2] : perp(X0,X1,X2,X1),
inference(resolution,[status(thm)],[f3574,f112]) ).
fof(f3670,plain,
! [X0,X1,X2] :
( ~ perp(sk0_25,X0,X1,X2)
| perp(sk0_21,sk0_20,X1,X2) ),
inference(resolution,[status(thm)],[f3584,f120]) ).
fof(f3676,plain,
! [X0,X1] : perp(sk0_21,sk0_20,X0,X1),
inference(resolution,[status(thm)],[f3670,f3603]) ).
fof(f3686,plain,
! [X0,X1] : perp(X0,X1,sk0_21,sk0_20),
inference(resolution,[status(thm)],[f3676,f114]) ).
fof(f3707,plain,
! [X0,X1,X2,X3] :
( ~ perp(sk0_21,sk0_20,X0,X1)
| para(X2,X3,X0,X1) ),
inference(resolution,[status(thm)],[f3686,f117]) ).
fof(f3708,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f3707,f3676]) ).
fof(f3714,plain,
! [X0,X1,X2] : midp(X0,X1,X2),
inference(backward_subsumption_resolution,[status(thm)],[f3470,f3708]) ).
fof(f3720,plain,
! [X0,X1,X2] : cong(X0,X1,X2,X1),
inference(backward_subsumption_resolution,[status(thm)],[f3583,f3714]) ).
fof(f3726,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X3,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f232,f3720]) ).
fof(f3727,plain,
! [X0,X1,X2,X3] : perp(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f3726,f3720]) ).
fof(f3728,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f378,f3727]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO546+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n025.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 12:14:42 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 2.80/0.75 % Refutation found
% 2.80/0.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.80/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.20/0.78 % Elapsed time: 0.420918 seconds
% 3.20/0.78 % CPU time: 3.197050 seconds
% 3.20/0.78 % Memory used: 77.944 MB
%------------------------------------------------------------------------------