TSTP Solution File: GEO641+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO641+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:18:29 EDT 2024
% Result : Theorem 3.18s 0.86s
% Output : CNFRefutation 3.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 21
% Syntax : Number of formulae : 110 ( 29 unt; 0 def)
% Number of atoms : 266 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 247 ( 91 ~; 86 |; 48 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 456 ( 440 !; 16 ?)
% 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(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(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(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(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(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,
! [A,B,C,O,D,U,V,NWPNT1] :
( ( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& perp(A,B,D,U)
& perp(A,D,B,U)
& perp(B,D,A,U)
& perp(A,C,D,V)
& perp(A,D,C,V)
& perp(C,D,A,V) )
=> para(U,V,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,O,D,U,V,NWPNT1] :
( ( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& perp(A,B,D,U)
& perp(A,D,B,U)
& perp(B,D,A,U)
& perp(A,C,D,V)
& perp(A,D,C,V)
& perp(C,D,A,V) )
=> para(U,V,B,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(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(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(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(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(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,
? [A,B,C,O,D,U,V,NWPNT1] :
( circle(O,A,B,C)
& circle(O,A,D,NWPNT1)
& perp(A,B,D,U)
& perp(A,D,B,U)
& perp(B,D,A,U)
& perp(A,C,D,V)
& perp(A,D,C,V)
& perp(C,D,A,V)
& ~ para(U,V,B,C) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [B,C,U,V] :
( ? [A,D] :
( ? [O] :
( circle(O,A,B,C)
& ? [NWPNT1] : circle(O,A,D,NWPNT1) )
& perp(A,B,D,U)
& perp(A,D,B,U)
& perp(B,D,A,U)
& perp(A,C,D,V)
& perp(A,D,C,V)
& perp(C,D,A,V) )
& ~ para(U,V,B,C) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( circle(sk0_26,sk0_24,sk0_20,sk0_21)
& circle(sk0_26,sk0_24,sk0_25,sk0_27)
& perp(sk0_24,sk0_20,sk0_25,sk0_22)
& perp(sk0_24,sk0_25,sk0_20,sk0_22)
& perp(sk0_20,sk0_25,sk0_24,sk0_22)
& perp(sk0_24,sk0_21,sk0_25,sk0_23)
& perp(sk0_24,sk0_25,sk0_21,sk0_23)
& perp(sk0_21,sk0_25,sk0_24,sk0_23)
& ~ para(sk0_22,sk0_23,sk0_20,sk0_21) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f375,plain,
perp(sk0_24,sk0_25,sk0_20,sk0_22),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f380,plain,
~ para(sk0_22,sk0_23,sk0_20,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f402,plain,
perp(sk0_20,sk0_22,sk0_24,sk0_25),
inference(resolution,[status(thm)],[f114,f375]) ).
fof(f424,plain,
perp(sk0_20,sk0_22,sk0_25,sk0_24),
inference(resolution,[status(thm)],[f402,f112]) ).
fof(f447,plain,
perp(sk0_25,sk0_24,sk0_20,sk0_22),
inference(resolution,[status(thm)],[f424,f114]) ).
fof(f477,plain,
! [X0,X1] :
( ~ perp(X0,X1,sk0_25,sk0_24)
| para(X0,X1,sk0_20,sk0_22) ),
inference(resolution,[status(thm)],[f117,f447]) ).
fof(f572,plain,
para(sk0_20,sk0_22,sk0_20,sk0_22),
inference(resolution,[status(thm)],[f477,f424]) ).
fof(f585,plain,
! [X0,X1] : eqangle(sk0_20,sk0_22,X0,X1,sk0_20,sk0_22,X0,X1),
inference(resolution,[status(thm)],[f572,f189]) ).
fof(f891,plain,
! [X0,X1] : eqangle(X0,X1,sk0_20,sk0_22,X0,X1,sk0_20,sk0_22),
inference(resolution,[status(thm)],[f140,f585]) ).
fof(f2273,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f891,f186]) ).
fof(f2280,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[status(thm)],[f2273,f252]) ).
fof(f2281,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2280,f2273]) ).
fof(f2283,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[status(thm)],[f2273,f189]) ).
fof(f2285,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[f2273,f105]) ).
fof(f2286,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f2273,f256]) ).
fof(f2312,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[status(thm)],[f2286,f100]) ).
fof(f2341,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[status(thm)],[f2312,f98]) ).
fof(f2372,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[status(thm)],[f2341,f103]) ).
fof(f2373,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f2372,f2341]) ).
fof(f2414,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f2373]) ).
fof(f2417,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,f2373]) ).
fof(f2424,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(resolution,[status(thm)],[f2285,f189]) ).
fof(f2429,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X1,X2,X3,X2,X3),
inference(resolution,[status(thm)],[f2283,f144]) ).
fof(f2446,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X1,X0,X2,X3,X2,X3),
inference(resolution,[status(thm)],[f2424,f144]) ).
fof(f2503,plain,
! [X0,X1,X2] : cyclic(X0,X0,X1,X2),
inference(resolution,[status(thm)],[f2417,f2429]) ).
fof(f2526,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X1,X2,X3,X3,X2),
inference(resolution,[status(thm)],[f2446,f142]) ).
fof(f2616,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X1,X0,X2,X3,X3,X2),
inference(resolution,[status(thm)],[f2526,f138]) ).
fof(f2963,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X0,X1)
| ~ cyclic(X0,X0,X0,X1)
| ~ cyclic(X0,X0,X0,X1)
| cong(X0,X0,X1,X1) ),
inference(resolution,[status(thm)],[f198,f2616]) ).
fof(f2964,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X0,X1)
| cong(X0,X0,X1,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f2963]) ).
fof(f2965,plain,
! [X0,X1] : cong(X0,X0,X1,X1),
inference(forward_subsumption_resolution,[status(thm)],[f2964,f2503]) ).
fof(f3502,plain,
! [X0] : midp(X0,X0,X0),
inference(resolution,[status(thm)],[f2965,f2414]) ).
fof(f3514,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[status(thm)],[f3502,f2281]) ).
fof(f3543,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f3514,f260]) ).
fof(f3575,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f3543,f232]) ).
fof(f3576,plain,
! [X0,X1,X2] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3575,f3543]) ).
fof(f3629,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) ),
inference(resolution,[status(thm)],[f3576,f117]) ).
fof(f3630,plain,
! [X0,X1,X2] : perp(X0,X1,X2,X2),
inference(resolution,[status(thm)],[f3576,f114]) ).
fof(f3632,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(backward_subsumption_resolution,[status(thm)],[f3629,f3630]) ).
fof(f3633,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f380,f3632]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO641+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 : n020.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 01:29:32 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 3.18/0.86 % Refutation found
% 3.18/0.86 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.18/0.86 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.98/0.88 % Elapsed time: 0.525789 seconds
% 3.98/0.88 % CPU time: 4.040255 seconds
% 3.98/0.88 % Total memory used: 102.332 MB
% 3.98/0.88 % Net memory used: 95.905 MB
%------------------------------------------------------------------------------