TSTP Solution File: GEO590+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO590+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 12:09:15 EDT 2023
% Result : Theorem 20.67s 3.10s
% Output : CNFRefutation 21.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 25
% Syntax : Number of formulae : 136 ( 30 unt; 0 def)
% Number of atoms : 322 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 311 ( 125 ~; 119 |; 41 &)
% ( 1 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 2 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 503 (; 491 !; 12 ?)
% 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(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(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(f24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ),
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(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(f64,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& midp(M,C,D) )
=> para(A,C,B,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [A,B,C,D,M] :
( ( midp(M,A,B)
& para(A,C,B,D)
& para(A,D,B,C) )
=> midp(M,C,D) ),
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,
! [C,D,E,O,A,F] :
( ( perp(E,C,E,D)
& midp(O,D,C)
& perp(C,D,C,A)
& perp(E,O,E,A)
& coll(F,C,A)
& coll(F,D,E) )
=> cong(A,E,A,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [C,D,E,O,A,F] :
( ( perp(E,C,E,D)
& midp(O,D,C)
& perp(C,D,C,A)
& perp(E,O,E,A)
& coll(F,C,A)
& coll(F,D,E) )
=> cong(A,E,A,F) ),
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(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(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(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(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(f247,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ midp(M,C,D)
| para(A,C,B,D) ),
inference(pre_NNF_transformation,[status(esa)],[f64]) ).
fof(f248,plain,
! [A,B,C,D] :
( ! [M] :
( ~ midp(M,A,B)
| ~ midp(M,C,D) )
| para(A,C,B,D) ),
inference(miniscoping,[status(esa)],[f247]) ).
fof(f249,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X1,X3,X2,X4) ),
inference(cnf_transformation,[status(esa)],[f248]) ).
fof(f250,plain,
! [A,B,C,D,M] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C)
| midp(M,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f65]) ).
fof(f251,plain,
! [C,D,M] :
( ! [A,B] :
( ~ midp(M,A,B)
| ~ para(A,C,B,D)
| ~ para(A,D,B,C) )
| midp(M,C,D) ),
inference(miniscoping,[status(esa)],[f250]) ).
fof(f252,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| ~ para(X1,X3,X2,X4)
| ~ para(X1,X4,X2,X3)
| midp(X0,X3,X4) ),
inference(cnf_transformation,[status(esa)],[f251]) ).
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,
? [C,D,E,O,A,F] :
( perp(E,C,E,D)
& midp(O,D,C)
& perp(C,D,C,A)
& perp(E,O,E,A)
& coll(F,C,A)
& coll(F,D,E)
& ~ cong(A,E,A,F) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [E,A,F] :
( ? [D] :
( ? [C] :
( ? [O] :
( perp(E,C,E,D)
& midp(O,D,C)
& perp(C,D,C,A)
& perp(E,O,E,A) )
& coll(F,C,A) )
& coll(F,D,E) )
& ~ cong(A,E,A,F) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( perp(sk0_20,sk0_24,sk0_20,sk0_23)
& midp(sk0_25,sk0_23,sk0_24)
& perp(sk0_24,sk0_23,sk0_24,sk0_21)
& perp(sk0_20,sk0_25,sk0_20,sk0_21)
& coll(sk0_22,sk0_24,sk0_21)
& coll(sk0_22,sk0_23,sk0_20)
& ~ cong(sk0_21,sk0_20,sk0_21,sk0_22) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f375,plain,
perp(sk0_20,sk0_25,sk0_20,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f378,plain,
~ cong(sk0_21,sk0_20,sk0_21,sk0_22),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f440,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| ~ para(X2,X3,X1,X0) ),
inference(resolution,[status(thm)],[f107,f105]) ).
fof(f646,plain,
perp(sk0_20,sk0_21,sk0_20,sk0_25),
inference(resolution,[status(thm)],[f114,f375]) ).
fof(f656,plain,
perp(sk0_20,sk0_21,sk0_25,sk0_20),
inference(resolution,[status(thm)],[f646,f112]) ).
fof(f663,plain,
~ cong(sk0_21,sk0_22,sk0_21,sk0_20),
inference(resolution,[status(thm)],[f151,f378]) ).
fof(f671,plain,
perp(sk0_25,sk0_20,sk0_20,sk0_21),
inference(resolution,[status(thm)],[f656,f114]) ).
fof(f711,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_20,sk0_21)
| para(X0,X1,sk0_20,sk0_25) ),
inference(resolution,[status(thm)],[f117,f646]) ).
fof(f3327,plain,
( spl0_394
<=> midp(sk0_21,sk0_22,sk0_20) ),
introduced(split_symbol_definition) ).
fof(f3328,plain,
( midp(sk0_21,sk0_22,sk0_20)
| ~ spl0_394 ),
inference(component_clause,[status(thm)],[f3327]) ).
fof(f3329,plain,
( ~ midp(sk0_21,sk0_22,sk0_20)
| spl0_394 ),
inference(component_clause,[status(thm)],[f3327]) ).
fof(f5953,plain,
para(sk0_25,sk0_20,sk0_20,sk0_25),
inference(resolution,[status(thm)],[f711,f671]) ).
fof(f5962,plain,
para(sk0_25,sk0_20,sk0_25,sk0_20),
inference(resolution,[status(thm)],[f5953,f440]) ).
fof(f6082,plain,
! [X0,X1] : eqangle(sk0_25,sk0_20,X0,X1,sk0_25,sk0_20,X0,X1),
inference(resolution,[status(thm)],[f189,f5962]) ).
fof(f7904,plain,
! [X0,X1] : eqangle(sk0_25,sk0_20,sk0_25,sk0_20,X0,X1,X0,X1),
inference(resolution,[status(thm)],[f6082,f144]) ).
fof(f7905,plain,
! [X0,X1] : eqangle(X0,X1,sk0_25,sk0_20,X0,X1,sk0_25,sk0_20),
inference(resolution,[status(thm)],[f6082,f140]) ).
fof(f9173,plain,
( cong(sk0_21,sk0_22,sk0_21,sk0_20)
| ~ spl0_394 ),
inference(resolution,[status(thm)],[f3328,f260]) ).
fof(f9174,plain,
( $false
| ~ spl0_394 ),
inference(forward_subsumption_resolution,[status(thm)],[f9173,f663]) ).
fof(f9175,plain,
~ spl0_394,
inference(contradiction_clause,[status(thm)],[f9174]) ).
fof(f10610,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f7905,f186]) ).
fof(f10615,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[f10610,f440]) ).
fof(f10617,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f10610,f256]) ).
fof(f10738,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[status(thm)],[f10617,f100]) ).
fof(f10829,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[status(thm)],[f10738,f98]) ).
fof(f10896,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[status(thm)],[f10829,f103]) ).
fof(f10897,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f10896,f10829]) ).
fof(f10900,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,f10897]) ).
fof(f10901,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,f10897]) ).
fof(f10902,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f10897]) ).
fof(f11139,plain,
! [X0] : cyclic(sk0_20,sk0_20,sk0_25,X0),
inference(resolution,[status(thm)],[f10901,f7904]) ).
fof(f12119,plain,
! [X0,X1] :
( ~ cyclic(sk0_20,sk0_20,sk0_25,X0)
| cyclic(sk0_20,sk0_25,X0,X1) ),
inference(resolution,[status(thm)],[f11139,f136]) ).
fof(f12120,plain,
! [X0,X1] : cyclic(sk0_20,sk0_25,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f12119,f11139]) ).
fof(f12171,plain,
! [X0,X1,X2] :
( ~ cyclic(sk0_20,sk0_25,X0,X1)
| cyclic(sk0_25,X0,X1,X2) ),
inference(resolution,[status(thm)],[f12120,f136]) ).
fof(f12172,plain,
! [X0,X1,X2] : cyclic(sk0_25,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f12171,f12120]) ).
fof(f12194,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(sk0_25,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f12172,f136]) ).
fof(f12195,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f12194,f12172]) ).
fof(f12201,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,f12195]) ).
fof(f12202,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)],[f12201,f12195]) ).
fof(f12204,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2),
inference(backward_subsumption_resolution,[status(thm)],[f191,f12195]) ).
fof(f12222,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)],[f12202,f12195]) ).
fof(f12854,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f12204,f12222]) ).
fof(f12880,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[status(thm)],[f12854,f10902]) ).
fof(f12891,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X0,X2)
| ~ para(X0,X2,X0,X1)
| midp(X3,X1,X2) ),
inference(resolution,[status(thm)],[f12880,f252]) ).
fof(f12892,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X0,X2)
| midp(X3,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f12891,f107]) ).
fof(f12893,plain,
! [X0,X1,X2,X3] :
( ~ midp(X0,X1,X2)
| para(X1,X3,X2,X3) ),
inference(resolution,[status(thm)],[f12880,f249]) ).
fof(f12896,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| midp(X1,X2,X3) ),
inference(resolution,[status(thm)],[f12880,f10900]) ).
fof(f15184,plain,
! [X0] :
( ~ para(X0,sk0_22,X0,sk0_20)
| spl0_394 ),
inference(resolution,[status(thm)],[f12892,f3329]) ).
fof(f15963,plain,
! [X0,X1] : midp(X0,X0,X1),
inference(resolution,[status(thm)],[f12896,f10615]) ).
fof(f15982,plain,
! [X0,X1,X2] : para(X0,X1,X2,X1),
inference(resolution,[status(thm)],[f15963,f12893]) ).
fof(f16059,plain,
! [X0,X1,X2] : para(X0,X1,X2,X0),
inference(resolution,[status(thm)],[f15982,f440]) ).
fof(f16113,plain,
( $false
| spl0_394 ),
inference(resolution,[status(thm)],[f16059,f15184]) ).
fof(f16114,plain,
spl0_394,
inference(contradiction_clause,[status(thm)],[f16113]) ).
fof(f16115,plain,
$false,
inference(sat_refutation,[status(thm)],[f9175,f16114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO590+1 : TPTP v8.1.2. Released v7.5.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n011.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:58:12 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.5.1
% 20.67/3.10 % Refutation found
% 20.67/3.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 20.67/3.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.42/3.17 % Elapsed time: 2.828429 seconds
% 21.42/3.17 % CPU time: 21.690028 seconds
% 21.42/3.17 % Memory used: 160.052 MB
%------------------------------------------------------------------------------