TSTP Solution File: GEO581+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO581+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:09:13 EDT 2023
% Result : Theorem 3.36s 0.86s
% Output : CNFRefutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 18
% Syntax : Number of formulae : 102 ( 23 unt; 0 def)
% Number of atoms : 241 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 230 ( 91 ~; 88 |; 32 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 498 (; 486 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f18,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(B,A,C,D,P,Q,U,V) ),
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(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(f42,axiom,
! [A,B,P,Q] :
( ( eqangle(P,A,P,B,Q,A,Q,B)
& ~ coll(P,Q,A) )
=> cyclic(A,B,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(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(f95,conjecture,
! [A,B,C,F,E,P] :
( ( perp(C,A,C,B)
& eqangle(B,A,A,E,A,E,E,F)
& cong(A,E,E,F)
& coll(P,B,E)
& coll(P,A,F) )
=> eqangle(A,C,C,P,P,C,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,F,E,P] :
( ( perp(C,A,C,B)
& eqangle(B,A,A,E,A,E,E,F)
& cong(A,E,E,F)
& coll(P,B,E)
& coll(P,A,F) )
=> eqangle(A,C,C,P,P,C,C,B) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(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(f137,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqangle(A,B,C,D,P,Q,U,V)
| eqangle(B,A,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(esa)],[f137]) ).
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(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(f192,plain,
! [A,B,P,Q] :
( ~ eqangle(P,A,P,B,Q,A,Q,B)
| coll(P,Q,A)
| cyclic(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(esa)],[f42]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f192]) ).
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(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(f369,plain,
? [A,B,C,F,E,P] :
( perp(C,A,C,B)
& eqangle(B,A,A,E,A,E,E,F)
& cong(A,E,E,F)
& coll(P,B,E)
& coll(P,A,F)
& ~ eqangle(A,C,C,P,P,C,C,B) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [A,B,C,P] :
( ? [F] :
( ? [E] :
( perp(C,A,C,B)
& eqangle(B,A,A,E,A,E,E,F)
& cong(A,E,E,F)
& coll(P,B,E) )
& coll(P,A,F) )
& ~ eqangle(A,C,C,P,P,C,C,B) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( perp(sk0_22,sk0_20,sk0_22,sk0_21)
& eqangle(sk0_21,sk0_20,sk0_20,sk0_25,sk0_20,sk0_25,sk0_25,sk0_24)
& cong(sk0_20,sk0_25,sk0_25,sk0_24)
& coll(sk0_23,sk0_21,sk0_25)
& coll(sk0_23,sk0_20,sk0_24)
& ~ eqangle(sk0_20,sk0_22,sk0_22,sk0_23,sk0_23,sk0_22,sk0_22,sk0_21) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f373,plain,
eqangle(sk0_21,sk0_20,sk0_20,sk0_25,sk0_20,sk0_25,sk0_25,sk0_24),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f377,plain,
~ eqangle(sk0_20,sk0_22,sk0_22,sk0_23,sk0_23,sk0_22,sk0_22,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f801,plain,
eqangle(sk0_20,sk0_25,sk0_25,sk0_24,sk0_21,sk0_20,sk0_20,sk0_25),
inference(resolution,[status(thm)],[f142,f373]) ).
fof(f869,plain,
! [X0,X1,X2,X3] :
( ~ eqangle(X0,X1,X2,X3,sk0_21,sk0_20,sk0_20,sk0_25)
| eqangle(X0,X1,X2,X3,sk0_20,sk0_25,sk0_25,sk0_24) ),
inference(resolution,[status(thm)],[f147,f373]) ).
fof(f937,plain,
eqangle(sk0_20,sk0_25,sk0_25,sk0_24,sk0_20,sk0_25,sk0_25,sk0_24),
inference(resolution,[status(thm)],[f869,f801]) ).
fof(f2644,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X0,X1,X2,X3)
| ~ eqangle(X4,X5,X6,X7,X0,X1,X8,X9)
| eqangle(X4,X5,X6,X7,X2,X3,X8,X9) ),
inference(resolution,[status(thm)],[f189,f147]) ).
fof(f2645,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,X4,X5,X4,X5) ),
inference(resolution,[status(thm)],[f189,f144]) ).
fof(f2766,plain,
para(sk0_20,sk0_25,sk0_20,sk0_25),
inference(resolution,[status(thm)],[f186,f937]) ).
fof(f2768,plain,
para(sk0_20,sk0_25,sk0_25,sk0_20),
inference(resolution,[status(thm)],[f2766,f105]) ).
fof(f2771,plain,
para(sk0_25,sk0_20,sk0_20,sk0_25),
inference(resolution,[status(thm)],[f2768,f107]) ).
fof(f2775,plain,
para(sk0_25,sk0_20,sk0_25,sk0_20),
inference(resolution,[status(thm)],[f2771,f105]) ).
fof(f2899,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X6,X7,X4,X5) ),
inference(resolution,[status(thm)],[f2645,f2644]) ).
fof(f3048,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X0,X2,X2,X1,X3,X0,X3,X1) ),
inference(resolution,[status(thm)],[f191,f138]) ).
fof(f3049,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| cyclic(X2,X2,X0,X1)
| ~ para(X0,X2,X0,X2) ),
inference(resolution,[status(thm)],[f193,f2645]) ).
fof(f3055,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| cyclic(X2,X2,X0,X1)
| ~ para(X0,X2,X0,X2) ),
inference(resolution,[status(thm)],[f195,f2645]) ).
fof(f3056,plain,
! [X0,X1,X2] :
( cyclic(X0,X0,X1,X2)
| ~ para(X1,X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3055,f3049]) ).
fof(f3229,plain,
! [X0] : cyclic(sk0_20,sk0_20,sk0_25,X0),
inference(resolution,[status(thm)],[f3056,f2775]) ).
fof(f3243,plain,
! [X0,X1] :
( ~ cyclic(sk0_20,sk0_20,sk0_25,X0)
| cyclic(sk0_20,sk0_25,X0,X1) ),
inference(resolution,[status(thm)],[f3229,f136]) ).
fof(f3244,plain,
! [X0,X1] : cyclic(sk0_20,sk0_25,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f3243,f3229]) ).
fof(f3248,plain,
! [X0,X1,X2] :
( ~ cyclic(sk0_20,sk0_25,X0,X1)
| cyclic(sk0_25,X0,X1,X2) ),
inference(resolution,[status(thm)],[f3244,f136]) ).
fof(f3249,plain,
! [X0,X1,X2] : cyclic(sk0_25,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3248,f3244]) ).
fof(f3253,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(sk0_25,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f3249,f136]) ).
fof(f3254,plain,
! [X0,X1,X2,X3] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f3253,f3249]) ).
fof(f3260,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X1,X2,X3,X0,X3,X2),
inference(backward_subsumption_resolution,[status(thm)],[f3048,f3254]) ).
fof(f3274,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,f3254]) ).
fof(f3275,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)],[f3274,f3254]) ).
fof(f3608,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X0,X1,X3,X2,X3),
inference(resolution,[status(thm)],[f3260,f144]) ).
fof(f3627,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X1,X3,X0,X2,X3),
inference(resolution,[status(thm)],[f3608,f142]) ).
fof(f3659,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X1,X0,X3,X3,X2),
inference(resolution,[status(thm)],[f3627,f140]) ).
fof(f3711,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X0,X1,X3,X3,X2),
inference(resolution,[status(thm)],[f3659,f138]) ).
fof(f4133,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X1,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f3275,f3711]) ).
fof(f4134,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f4133,f3254]) ).
fof(f4182,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f4134,f232]) ).
fof(f4183,plain,
! [X0,X1,X2] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f4182,f4134]) ).
fof(f4274,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) ),
inference(resolution,[status(thm)],[f4183,f117]) ).
fof(f4275,plain,
! [X0,X1,X2] : perp(X0,X1,X2,X2),
inference(resolution,[status(thm)],[f4183,f114]) ).
fof(f4277,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(backward_subsumption_resolution,[status(thm)],[f4274,f4275]) ).
fof(f4361,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X6,X7,X2,X3,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f2899,f4277]) ).
fof(f4362,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7),
inference(forward_subsumption_resolution,[status(thm)],[f4361,f4277]) ).
fof(f4363,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f377,f4362]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO581+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % 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 May 30 11:54:05 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 3.36/0.86 % Refutation found
% 3.36/0.86 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.36/0.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.02/0.88 % Elapsed time: 0.528495 seconds
% 4.02/0.88 % CPU time: 4.037998 seconds
% 4.02/0.88 % Memory used: 86.853 MB
%------------------------------------------------------------------------------