TSTP Solution File: GEO578+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO578+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:18:19 EDT 2024
% Result : Theorem 2.84s 0.75s
% Output : CNFRefutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 27
% Syntax : Number of formulae : 142 ( 6 unt; 0 def)
% Number of atoms : 353 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 367 ( 156 ~; 149 |; 34 &)
% ( 2 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 562 ( 552 !; 10 ?)
% 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(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(f14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
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(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(f22,axiom,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( ( eqangle(A,B,C,D,P,Q,U,V)
& eqangle(P,Q,U,V,E,F,G,H) )
=> eqangle(A,B,C,D,E,F,G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [A,B,C,D,E,F] :
( ( cong(A,B,C,D)
& cong(C,D,E,F) )
=> cong(A,B,E,F) ),
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(f55,axiom,
! [A,B,C,D] :
( ( cyclic(A,B,C,D)
& para(A,B,C,D) )
=> eqangle(A,D,C,D,C,D,C,B) ),
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(f95,conjecture,
! [A,B,C,I,E] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& para(A,B,E,I)
& coll(E,A,C) )
=> cong(E,I,E,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,I,E] :
( ( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& para(A,B,E,I)
& coll(E,A,C) )
=> cong(E,I,E,A) ),
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(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(f128,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f14]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f128]) ).
fof(f130,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(A,C,B,D) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f130]) ).
fof(f132,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| cyclic(B,A,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f132]) ).
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(f145,plain,
! [A,B,C,D,P,Q,U,V,E,F,G,H] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ eqangle(P,Q,U,V,E,F,G,H)
| eqangle(A,B,C,D,E,F,G,H) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f146,plain,
! [A,B,C,D,E,F,G,H] :
( ! [P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| ~ eqangle(P,Q,U,V,E,F,G,H) )
| eqangle(A,B,C,D,E,F,G,H) ),
inference(miniscoping,[status(esa)],[f145]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[status(esa)],[f146]) ).
fof(f148,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(A,B,D,C) ),
inference(pre_NNF_transformation,[status(esa)],[f23]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f150,plain,
! [A,B,C,D] :
( ~ cong(A,B,C,D)
| cong(C,D,A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f150]) ).
fof(f152,plain,
! [A,B,C,D,E,F] :
( ~ cong(A,B,C,D)
| ~ cong(C,D,E,F)
| cong(A,B,E,F) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f153,plain,
! [A,B,E,F] :
( ! [C,D] :
( ~ cong(A,B,C,D)
| ~ cong(C,D,E,F) )
| cong(A,B,E,F) ),
inference(miniscoping,[status(esa)],[f152]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f153]) ).
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(f226,plain,
! [A,B,C,D] :
( ~ cyclic(A,B,C,D)
| ~ para(A,B,C,D)
| eqangle(A,D,C,D,C,D,C,B) ),
inference(pre_NNF_transformation,[status(esa)],[f55]) ).
fof(f227,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3)
| eqangle(X0,X3,X2,X3,X2,X3,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f226]) ).
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(f369,plain,
? [A,B,C,I,E] :
( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& para(A,B,E,I)
& coll(E,A,C)
& ~ cong(E,I,E,A) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [A,I,E] :
( ? [C] :
( ? [B] :
( eqangle(I,A,A,B,I,A,A,C)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,C,C,A,I,C,C,B)
& para(A,B,E,I) )
& coll(E,A,C) )
& ~ cong(E,I,E,A) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( eqangle(sk0_21,sk0_20,sk0_20,sk0_24,sk0_21,sk0_20,sk0_20,sk0_23)
& eqangle(sk0_21,sk0_24,sk0_24,sk0_23,sk0_21,sk0_24,sk0_24,sk0_20)
& eqangle(sk0_21,sk0_23,sk0_23,sk0_20,sk0_21,sk0_23,sk0_23,sk0_24)
& para(sk0_20,sk0_24,sk0_22,sk0_21)
& coll(sk0_22,sk0_20,sk0_23)
& ~ cong(sk0_22,sk0_21,sk0_22,sk0_20) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f374,plain,
eqangle(sk0_21,sk0_23,sk0_23,sk0_20,sk0_21,sk0_23,sk0_23,sk0_24),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f377,plain,
~ cong(sk0_22,sk0_21,sk0_22,sk0_20),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f382,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ coll(X1,X2,X0) ),
inference(resolution,[status(thm)],[f100,f98]) ).
fof(f394,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X2,X1,X0) ),
inference(resolution,[status(thm)],[f382,f98]) ).
fof(f787,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X0,X2) ),
inference(resolution,[status(thm)],[f394,f103]) ).
fof(f3737,plain,
eqangle(sk0_21,sk0_23,sk0_23,sk0_24,sk0_21,sk0_23,sk0_23,sk0_20),
inference(resolution,[status(thm)],[f142,f374]) ).
fof(f3945,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(sk0_21,sk0_23,sk0_23,sk0_24,X0,X1,X2,X3)
| eqangle(sk0_21,sk0_23,sk0_23,sk0_20,X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f147,f374]) ).
fof(f4935,plain,
( spl0_63
<=> eqangle(sk0_21,sk0_23,sk0_23,sk0_24,sk0_21,sk0_23,sk0_23,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f4937,plain,
( ~ eqangle(sk0_21,sk0_23,sk0_23,sk0_24,sk0_21,sk0_23,sk0_23,sk0_20)
| spl0_63 ),
inference(component_clause,[status(thm)],[f4935]) ).
fof(f4938,plain,
( spl0_64
<=> eqangle(sk0_21,sk0_23,sk0_23,sk0_20,sk0_21,sk0_23,sk0_23,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f4939,plain,
( eqangle(sk0_21,sk0_23,sk0_23,sk0_20,sk0_21,sk0_23,sk0_23,sk0_20)
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f4938]) ).
fof(f4941,plain,
( ~ eqangle(sk0_21,sk0_23,sk0_23,sk0_24,sk0_21,sk0_23,sk0_23,sk0_20)
| eqangle(sk0_21,sk0_23,sk0_23,sk0_20,sk0_21,sk0_23,sk0_23,sk0_20) ),
inference(resolution,[status(thm)],[f3945,f147]) ).
fof(f4942,plain,
( ~ spl0_63
| spl0_64 ),
inference(split_clause,[status(thm)],[f4941,f4935,f4938]) ).
fof(f4951,plain,
( $false
| spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f4937,f3737]) ).
fof(f4952,plain,
spl0_63,
inference(contradiction_clause,[status(thm)],[f4951]) ).
fof(f5390,plain,
! [X0,X1] :
( ~ cong(sk0_22,sk0_21,X0,X1)
| ~ cong(X0,X1,sk0_22,sk0_20) ),
inference(resolution,[status(thm)],[f154,f377]) ).
fof(f5411,plain,
( eqangle(sk0_21,sk0_23,sk0_21,sk0_23,sk0_23,sk0_20,sk0_23,sk0_20)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f4939,f144]) ).
fof(f5415,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X2,X3,sk0_21,sk0_23,sk0_21,sk0_23)
| eqangle(X0,X1,X2,X3,sk0_23,sk0_20,sk0_23,sk0_20)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f5411,f147]) ).
fof(f5418,plain,
( eqangle(sk0_23,sk0_20,sk0_23,sk0_20,sk0_21,sk0_23,sk0_21,sk0_23)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f5411,f142]) ).
fof(f5439,plain,
( eqangle(sk0_23,sk0_20,sk0_23,sk0_20,sk0_23,sk0_20,sk0_23,sk0_20)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f5415,f5418]) ).
fof(f6202,plain,
( para(sk0_23,sk0_20,sk0_23,sk0_20)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f186,f5439]) ).
fof(f6357,plain,
! [X0,X1] :
( eqangle(sk0_23,sk0_20,X0,X1,sk0_23,sk0_20,X0,X1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f6202,f189]) ).
fof(f6488,plain,
! [X0,X1] :
( eqangle(X0,X1,sk0_23,sk0_20,X0,X1,sk0_23,sk0_20)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f6357,f140]) ).
fof(f7230,plain,
! [X0,X1] :
( para(X0,X1,X0,X1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f6488,f186]) ).
fof(f7265,plain,
! [X0,X1] :
( para(X0,X1,X1,X0)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f7230,f105]) ).
fof(f7313,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X1,X2,X3,X1,X0,X2,X3)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f7265,f189]) ).
fof(f7359,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X1,X2,X3,X0,X1,X3,X2)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f7313,f140]) ).
fof(f9748,plain,
! [X0,X1] :
( coll(X0,X1,X1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f256,f7230]) ).
fof(f10653,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| cyclic(X2,X1,X0,X0)
| ~ para(X0,X2,X0,X2) ),
inference(resolution,[status(thm)],[f195,f189]) ).
fof(f10654,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| cyclic(X2,X1,X0,X0)
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f10653,f7230]) ).
fof(f10971,plain,
! [X0,X1] :
( coll(X0,X0,X1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f9748,f787]) ).
fof(f11058,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X2)
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f10654,f10971]) ).
fof(f11071,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f11058,f131]) ).
fof(f11194,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X2,X0)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f11071,f133]) ).
fof(f11210,plain,
! [X0,X1,X2] :
( cyclic(X0,X1,X0,X2)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f11194,f129]) ).
fof(f11241,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X0,X2)
| cyclic(X1,X0,X2,X3)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f11210,f136]) ).
fof(f11242,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f11241,f11210]) ).
fof(f11892,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)
| ~ spl0_64 ),
inference(backward_subsumption_resolution,[status(thm)],[f198,f11242]) ).
fof(f11893,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)
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f11892,f11242]) ).
fof(f11895,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| cong(X1,X2,X4,X5)
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f11893,f11242]) ).
fof(f11911,plain,
! [X0,X1] :
( cong(X0,X1,X0,X1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f11895,f7359]) ).
fof(f11973,plain,
! [X0,X1] :
( cong(X0,X1,X1,X0)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f11911,f149]) ).
fof(f12405,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f227,f11242]) ).
fof(f12544,plain,
! [X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X0,X1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f232,f11973]) ).
fof(f12545,plain,
! [X0,X1] :
( perp(X0,X0,X0,X1)
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f12544,f11911]) ).
fof(f12547,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X2,X1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f232,f11911]) ).
fof(f12548,plain,
! [X0,X1,X2] :
( perp(X0,X0,X1,X2)
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f12547,f11911]) ).
fof(f12596,plain,
! [X0,X1] :
( perp(X0,X1,X0,X0)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f12545,f114]) ).
fof(f12645,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X0,X1,X2)
| para(X0,X3,X1,X2)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f12596,f117]) ).
fof(f12646,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f12645,f12548]) ).
fof(f12674,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X1,X2,X1,X2,X1,X2,X3)
| ~ spl0_64 ),
inference(backward_subsumption_resolution,[status(thm)],[f12405,f12646]) ).
fof(f12698,plain,
! [X0,X1] :
( cong(X0,X0,X0,X1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f12674,f11895]) ).
fof(f12736,plain,
! [X0,X1] :
( cong(X0,X1,X0,X0)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f12698,f151]) ).
fof(f12744,plain,
( ~ cong(sk0_22,sk0_22,sk0_22,sk0_20)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f12736,f5390]) ).
fof(f12745,plain,
( $false
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f12744,f12698]) ).
fof(f12746,plain,
~ spl0_64,
inference(contradiction_clause,[status(thm)],[f12745]) ).
fof(f12747,plain,
$false,
inference(sat_refutation,[status(thm)],[f4942,f4952,f12746]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : GEO578+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 01:28:27 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 2.84/0.75 % Refutation found
% 2.84/0.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.84/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.49/0.77 % Elapsed time: 0.425507 seconds
% 3.49/0.77 % CPU time: 3.248348 seconds
% 3.49/0.77 % Total memory used: 94.667 MB
% 3.49/0.77 % Net memory used: 87.838 MB
%------------------------------------------------------------------------------