TSTP Solution File: GEO654+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO654+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:09:26 EDT 2023
% Result : Theorem 4.49s 0.98s
% Output : CNFRefutation 4.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 21
% Syntax : Number of formulae : 108 ( 26 unt; 0 def)
% Number of atoms : 278 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 264 ( 94 ~; 89 |; 59 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 535 (; 501 !; 34 ?)
% 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(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(f29,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqratio(A,B,C,D,P,Q,U,V)
=> eqratio(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(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(f66,axiom,
! [A,B,C,D,O] :
( ( para(A,B,C,D)
& coll(O,A,C)
& coll(O,B,D) )
=> eqratio(O,A,A,C,O,B,B,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(f76,axiom,
! [A,B,C,D,P,Q,U,V] :
( ( eqratio(A,B,C,D,P,Q,U,V)
& cong(P,Q,U,V) )
=> cong(A,B,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9] :
( ( circle(A,B,NWPNT1,NWPNT2)
& circle(C,B,NWPNT3,NWPNT4)
& circle(A,B,D,NWPNT5)
& circle(C,B,D,NWPNT6)
& circle(C,B,E,NWPNT7)
& coll(D,E,F)
& circle(A,D,F,NWPNT8)
& coll(B,E,G)
& circle(A,B,G,NWPNT9)
& perp(C,E,E,H) )
=> para(H,E,G,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9] :
( ( circle(A,B,NWPNT1,NWPNT2)
& circle(C,B,NWPNT3,NWPNT4)
& circle(A,B,D,NWPNT5)
& circle(C,B,D,NWPNT6)
& circle(C,B,E,NWPNT7)
& coll(D,E,F)
& circle(A,D,F,NWPNT8)
& coll(B,E,G)
& circle(A,B,G,NWPNT9)
& perp(C,E,E,H) )
=> para(H,E,G,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(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(f161,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| eqratio(A,B,P,Q,C,D,U,V) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[status(esa)],[f161]) ).
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(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(f253,plain,
! [A,B,C,D,O] :
( ~ para(A,B,C,D)
| ~ coll(O,A,C)
| ~ coll(O,B,D)
| eqratio(O,A,A,C,O,B,B,D) ),
inference(pre_NNF_transformation,[status(esa)],[f66]) ).
fof(f254,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f253]) ).
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(f275,plain,
! [A,B,C,D,P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| ~ cong(P,Q,U,V)
| cong(A,B,C,D) ),
inference(pre_NNF_transformation,[status(esa)],[f76]) ).
fof(f276,plain,
! [A,B,C,D] :
( ! [P,Q,U,V] :
( ~ eqratio(A,B,C,D,P,Q,U,V)
| ~ cong(P,Q,U,V) )
| cong(A,B,C,D) ),
inference(miniscoping,[status(esa)],[f275]) ).
fof(f277,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f276]) ).
fof(f369,plain,
? [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2,NWPNT3,NWPNT4,NWPNT5,NWPNT6,NWPNT7,NWPNT8,NWPNT9] :
( circle(A,B,NWPNT1,NWPNT2)
& circle(C,B,NWPNT3,NWPNT4)
& circle(A,B,D,NWPNT5)
& circle(C,B,D,NWPNT6)
& circle(C,B,E,NWPNT7)
& coll(D,E,F)
& circle(A,D,F,NWPNT8)
& coll(B,E,G)
& circle(A,B,G,NWPNT9)
& perp(C,E,E,H)
& ~ para(H,E,G,F) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f370,plain,
? [E,F,G,H] :
( ? [C] :
( ? [A,B] :
( ? [D] :
( ? [NWPNT1,NWPNT2] : circle(A,B,NWPNT1,NWPNT2)
& ? [NWPNT3,NWPNT4] : circle(C,B,NWPNT3,NWPNT4)
& ? [NWPNT5] : circle(A,B,D,NWPNT5)
& ? [NWPNT6] : circle(C,B,D,NWPNT6)
& ? [NWPNT7] : circle(C,B,E,NWPNT7)
& coll(D,E,F)
& ? [NWPNT8] : circle(A,D,F,NWPNT8) )
& coll(B,E,G)
& ? [NWPNT9] : circle(A,B,G,NWPNT9) )
& perp(C,E,E,H) )
& ~ para(H,E,G,F) ),
inference(miniscoping,[status(esa)],[f369]) ).
fof(f371,plain,
( circle(sk0_25,sk0_26,sk0_28,sk0_29)
& circle(sk0_24,sk0_26,sk0_30,sk0_31)
& circle(sk0_25,sk0_26,sk0_27,sk0_32)
& circle(sk0_24,sk0_26,sk0_27,sk0_33)
& circle(sk0_24,sk0_26,sk0_20,sk0_34)
& coll(sk0_27,sk0_20,sk0_21)
& circle(sk0_25,sk0_27,sk0_21,sk0_35)
& coll(sk0_26,sk0_20,sk0_22)
& circle(sk0_25,sk0_26,sk0_22,sk0_36)
& perp(sk0_24,sk0_20,sk0_20,sk0_23)
& ~ para(sk0_23,sk0_20,sk0_22,sk0_21) ),
inference(skolemization,[status(esa)],[f370]) ).
fof(f381,plain,
perp(sk0_24,sk0_20,sk0_20,sk0_23),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f382,plain,
~ para(sk0_23,sk0_20,sk0_22,sk0_21),
inference(cnf_transformation,[status(esa)],[f371]) ).
fof(f522,plain,
! [X0,X1] :
( ~ perp(sk0_20,sk0_23,X0,X1)
| para(sk0_24,sk0_20,X0,X1) ),
inference(resolution,[status(thm)],[f381,f117]) ).
fof(f523,plain,
perp(sk0_20,sk0_23,sk0_24,sk0_20),
inference(resolution,[status(thm)],[f381,f114]) ).
fof(f649,plain,
para(sk0_24,sk0_20,sk0_24,sk0_20),
inference(resolution,[status(thm)],[f523,f522]) ).
fof(f807,plain,
! [X0,X1] : eqangle(sk0_24,sk0_20,X0,X1,sk0_24,sk0_20,X0,X1),
inference(resolution,[status(thm)],[f189,f649]) ).
fof(f2134,plain,
! [X0,X1] : eqangle(X0,X1,sk0_24,sk0_20,X0,X1,sk0_24,sk0_20),
inference(resolution,[status(thm)],[f807,f140]) ).
fof(f2917,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[status(thm)],[f2134,f186]) ).
fof(f2940,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[status(thm)],[f2917,f189]) ).
fof(f2942,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[status(thm)],[f2917,f256]) ).
fof(f2943,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[status(thm)],[f2917,f105]) ).
fof(f3129,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[status(thm)],[f2942,f100]) ).
fof(f3268,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[status(thm)],[f3129,f98]) ).
fof(f3310,plain,
! [X0,X1,X2] :
( ~ coll(X0,X0,X1)
| coll(X2,X1,X0) ),
inference(resolution,[status(thm)],[f3268,f103]) ).
fof(f3311,plain,
! [X0,X1,X2] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f3310,f3268]) ).
fof(f3334,plain,
! [X0,X1,X2] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f3311]) ).
fof(f3335,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X1,X2,X3)
| ~ coll(X4,X1,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f254,f3311]) ).
fof(f3336,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f3335,f3311]) ).
fof(f3337,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,f3311]) ).
fof(f3340,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X2,X3,X1,X0,X2,X3),
inference(resolution,[status(thm)],[f2943,f189]) ).
fof(f3455,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X1,X2,X3,X2,X3),
inference(resolution,[status(thm)],[f2940,f144]) ).
fof(f3465,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X1,X0,X2,X3,X2,X3),
inference(resolution,[status(thm)],[f3340,f144]) ).
fof(f3502,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X0,X1,X2,X3,X3,X2),
inference(resolution,[status(thm)],[f3465,f142]) ).
fof(f3532,plain,
! [X0,X1,X2,X3] : eqangle(X0,X1,X1,X0,X2,X3,X3,X2),
inference(resolution,[status(thm)],[f3502,f138]) ).
fof(f3749,plain,
! [X0,X1,X2] : eqratio(X0,X1,X1,X1,X0,X2,X2,X2),
inference(resolution,[status(thm)],[f3336,f2917]) ).
fof(f3764,plain,
! [X0,X1,X2] : eqratio(X0,X1,X0,X2,X1,X1,X2,X2),
inference(resolution,[status(thm)],[f3749,f162]) ).
fof(f3808,plain,
! [X0,X1,X2] : cyclic(X0,X0,X1,X2),
inference(resolution,[status(thm)],[f3337,f3455]) ).
fof(f4019,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,f3532]) ).
fof(f4020,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X0,X1)
| cong(X0,X0,X1,X1) ),
inference(duplicate_literals_removal,[status(esa)],[f4019]) ).
fof(f4021,plain,
! [X0,X1] : cong(X0,X0,X1,X1),
inference(forward_subsumption_resolution,[status(thm)],[f4020,f3808]) ).
fof(f5802,plain,
! [X0,X1,X2] :
( ~ cong(X0,X0,X1,X1)
| cong(X2,X0,X2,X1) ),
inference(resolution,[status(thm)],[f277,f3764]) ).
fof(f5803,plain,
! [X0,X1,X2] : cong(X0,X1,X0,X2),
inference(forward_subsumption_resolution,[status(thm)],[f5802,f4021]) ).
fof(f5814,plain,
! [X0,X1,X2] : midp(X0,X1,X2),
inference(backward_subsumption_resolution,[status(thm)],[f3334,f5803]) ).
fof(f5837,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X1,X4,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f249,f5814]) ).
fof(f5838,plain,
! [X0,X1,X2,X3] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[f5837,f5814]) ).
fof(f5839,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f382,f5838]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GEO654+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 12:00:31 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 4.49/0.98 % Refutation found
% 4.49/0.98 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.49/0.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.88/1.01 % Elapsed time: 0.715537 seconds
% 4.88/1.01 % CPU time: 4.930282 seconds
% 4.88/1.01 % Memory used: 89.981 MB
%------------------------------------------------------------------------------