%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO648+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:45 PM UTC 2026
% Result : Theorem 21.02s 9.77s
% Output : CNFRefutation 21.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 34
% Syntax : Number of formulae : 353 ( 88 unt; 0 def)
% Number of atoms : 789 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 790 ( 354 ~; 348 |; 53 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-5 aty)
% Number of variables : 877 ( 0 sgn 856 !; 21 ?; 260 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f19,axiom,
! [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) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [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) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [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) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6) )
=> para(X0,X3,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0213) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6) )
=> para(X0,X3,X1,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f123,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(ennf_transformation,[],[f19]) ).
fof(f124,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(ennf_transformation,[],[f20]) ).
fof(f125,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(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f164]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(flattening,[],[f241]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6)
& ~ para(X0,X3,X1,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( circle(X0,X2,X4,X8)
& coll(X2,X0,X4)
& perp(X0,X1,X1,X3)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X7)
& circle(X0,X1,X5,X6)
& ~ para(X0,X3,X1,X4) ),
inference(flattening,[],[f249]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f242]) ).
fof(f270,plain,
( circle(sK20,sK22,sK24,sK28)
& coll(sK22,sK20,sK24)
& perp(sK20,sK21,sK21,sK23)
& perp(sK20,sK22,sK22,sK23)
& circle(sK20,sK21,sK22,sK27)
& circle(sK20,sK21,sK25,sK26)
& ~ para(sK20,sK23,sK21,sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f319,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f266]) ).
fof(f384,plain,
circle(sK20,sK22,sK24,sK28),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
coll(sK22,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
perp(sK20,sK21,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK20,sK22,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ para(sK20,sK23,sK21,sK24),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_162,negated_conjecture,
~ para(sK20,sK23,sK21,sK24),
inference(cnf_transformation,[],[f390]) ).
tcf(c_165,negated_conjecture,
perp(sK20,sK22,sK22,sK23),
inference(cnf_transformation,[],[f387]) ).
tcf(c_166,negated_conjecture,
perp(sK20,sK21,sK21,sK23),
inference(cnf_transformation,[],[f386]) ).
tcf(c_167,negated_conjecture,
coll(sK22,sK20,sK24),
inference(cnf_transformation,[],[f385]) ).
tcf(c_168,negated_conjecture,
circle(sK20,sK22,sK24,sK28),
inference(cnf_transformation,[],[f384]) ).
tcf(c_174,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_178,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_183,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_232,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_5094,negated_conjecture,
circle(sK20,sK22,sK24,sK28),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_5095,negated_conjecture,
coll(sK22,sK20,sK24),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_5096,negated_conjecture,
perp(sK20,sK21,sK21,sK23),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_5097,negated_conjecture,
perp(sK20,sK22,sK22,sK23),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_6622,plain,
coll(sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_5095,c_49]) ).
tcf(c_6628,plain,
coll(sK20,sK22,sK24),
inference(superposition,[status(thm)],[c_5095,c_50]) ).
tcf(c_6643,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_6628,c_49]) ).
tcf(c_6666,plain,
perp(sK20,sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_5097,c_55]) ).
tcf(c_6667,plain,
perp(sK20,sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_5096,c_55]) ).
tcf(c_6674,plain,
perp(sK22,sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_5097,c_56]) ).
tcf(c_6675,plain,
perp(sK21,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_5096,c_56]) ).
tcf(c_6676,plain,
perp(sK23,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_6666,c_56]) ).
tcf(c_6677,plain,
perp(sK23,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6667,c_56]) ).
tcf(c_6679,plain,
perp(sK22,sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_6674,c_55]) ).
tcf(c_6742,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_5095,c_51]) ).
tcf(c_6743,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK24,X0) ),
inference(superposition,[status(thm)],[c_6622,c_51]) ).
tcf(c_6746,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6643,c_51]) ).
tcf(c_6763,plain,
( coll(sK20,sK20,sK22)
| ~ coll(sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_6743]) ).
tcf(c_6784,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_5095,c_6742]) ).
tcf(c_6785,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_6784,c_51]) ).
tcf(c_6805,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_6622,c_6743]) ).
tcf(c_6809,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_6805,c_49]) ).
tcf(c_6828,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_6784,c_6785]) ).
tcf(c_6832,plain,
coll(sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_6828,c_49]) ).
tcf(c_6835,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_6809,c_51]) ).
tcf(c_6836,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_6809,c_50]) ).
tcf(c_6841,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6835]) ).
tcf(c_6869,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK24,X0) ),
inference(superposition,[status(thm)],[c_6832,c_51]) ).
tcf(c_6875,plain,
( coll(sK22,sK20,sK22)
| ~ coll(sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_6869]) ).
tcf(c_6907,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6643,c_6746]) ).
tcf(c_6909,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6907,c_51]) ).
tcf(c_7092,plain,
! [X0: $i] :
( cong(sK20,X0,sK22,X0)
| ~ midp(X0,sK20,sK23) ),
inference(superposition,[status(thm)],[c_5097,c_101]) ).
tcf(c_7093,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(X0,sK20,sK23) ),
inference(superposition,[status(thm)],[c_5096,c_101]) ).
tcf(c_7138,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK22)
| ~ midp(X0,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7092,c_71]) ).
tcf(c_7150,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ midp(X0,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7093,c_71]) ).
tcf(c_7170,plain,
! [X0: $i] :
( cong(X0,sK22,sK20,X0)
| ~ midp(X0,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7138,c_72]) ).
tcf(c_7191,plain,
! [X0: $i] :
( cong(X0,sK21,sK20,X0)
| ~ midp(X0,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7150,c_72]) ).
tcf(c_7244,plain,
( cong(sK20,sK22,sK20,sK23)
| ~ midp(sK22,sK22,sK23) ),
inference(superposition,[status(thm)],[c_5097,c_104]) ).
tcf(c_7248,plain,
( cong(sK22,sK20,sK22,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6674,c_104]) ).
tcf(c_7250,plain,
( cong(sK23,sK20,sK23,sK22)
| ~ midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6676,c_104]) ).
tcf(c_7251,plain,
( cong(sK23,sK20,sK23,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6677,c_104]) ).
tcf(c_7313,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_5097,c_57]) ).
tcf(c_7314,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK21,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_5096,c_57]) ).
tcf(c_7317,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6674,c_57]) ).
tcf(c_7318,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK23,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6675,c_57]) ).
tcf(c_7494,plain,
( cong(sK20,sK23,sK20,sK22)
| ~ midp(sK22,sK22,sK23) ),
inference(superposition,[status(thm)],[c_7244,c_72]) ).
tcf(c_7525,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_6674,c_7313]) ).
tcf(c_7526,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6679,c_7313]) ).
tcf(c_7533,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6675,c_7314]) ).
tcf(c_7567,plain,
! [X0: $i] :
( circle(sK20,sK22,X0,sK23)
| ~ midp(sK22,sK22,sK23)
| ~ cong(sK20,sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_7244,c_60]) ).
tcf(c_7595,plain,
! [X0: $i,X1: $i] :
( perp(sK16(sK20,sK23,sK22,X0,X1),sK20,X0,X1)
| ~ coll(sK23,X0,X1)
| ~ perp(sK20,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_7596,plain,
( perp(sK16(sK20,sK23,sK22,sK20,sK20),sK20,sK20,sK20)
| ~ coll(sK23,sK20,sK20)
| ~ perp(sK20,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_7595]) ).
tcf(c_7613,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK20,X0,X1,X2)
| ~ midp(X0,sK20,sK23)
| ~ cong(sK22,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7092,c_73]) ).
tcf(c_7614,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK20,X0,X1,X2)
| ~ midp(X0,sK20,sK23)
| ~ cong(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7093,c_73]) ).
tcf(c_7620,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK22,X0,X1)
| ~ midp(sK22,sK22,sK23)
| ~ cong(sK20,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_7244,c_73]) ).
tcf(c_7678,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_7526,c_53]) ).
tcf(c_7694,plain,
coll(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_7533,c_115]) ).
tcf(c_7696,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_7694,c_50]) ).
tcf(c_7707,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_7696,c_49]) ).
tcf(c_7923,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X1,X0)
| ~ midp(X1,sK20,sK23)
| ~ cong(sK20,X0,sK22,X0) ),
inference(superposition,[status(thm)],[c_7092,c_105]) ).
tcf(c_8004,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_7707,c_51]) ).
tcf(c_8288,plain,
para(sK22,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_6666,c_7317]) ).
tcf(c_8338,plain,
para(sK23,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_8288,c_53]) ).
tcf(c_8351,plain,
para(sK21,sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_6667,c_7318]) ).
tcf(c_8433,plain,
para(sK23,sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_8351,c_53]) ).
tcf(c_8862,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
tcf(c_8875,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8862]) ).
tcf(c_9209,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_7525,c_94]) ).
tcf(c_9211,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7533,c_94]) ).
tcf(c_9213,plain,
! [X0: $i] :
( midp(sK20,X0,sK22)
| ~ midp(sK22,X0,sK20)
| ~ coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7678,c_94]) ).
tcf(c_9264,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK22,sK20,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_9213]) ).
tcf(c_9266,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_9211]) ).
tcf(c_9268,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_9209]) ).
tcf(c_9606,plain,
( cong(sK20,sK22,sK20,sK22)
| ~ midp(sK22,sK22,sK23) ),
inference(superposition,[status(thm)],[c_7494,c_7620]) ).
tcf(c_9911,plain,
! [X0: $i,X1: $i] :
( coll(sK23,X0,X1)
| ~ coll(X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_9912,plain,
( coll(sK23,sK20,sK20)
| ~ coll(sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_9911]) ).
tcf(c_10474,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,sK22,X0,X1,sK22,X1,X0)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_5097,c_97]) ).
tcf(c_10668,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,X1,sK22,sK22,X0,X1,X0)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_10474,c_69]) ).
tcf(c_10669,plain,
! [X0: $i,X1: $i] :
( eqangle(X1,sK22,X1,X0,sK22,sK23,sK22,X0)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_10474,c_68]) ).
tcf(c_10672,plain,
! [X0: $i] :
( para(sK22,sK23,sK22,sK22)
| ~ circle(sK20,sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_10474,c_87]) ).
tcf(c_10687,plain,
( para(sK22,sK23,sK22,sK22)
| ~ circle(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_10672]) ).
tcf(c_10882,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7525,c_113]) ).
tcf(c_10929,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10882,c_7525]) ).
tcf(c_10940,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10929]) ).
tcf(c_11189,plain,
! [X0: $i] :
( para(sK22,sK23,sK22,sK22)
| ~ circle(sK20,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_10668,c_87]) ).
tcf(c_12047,plain,
! [X0: $i,X1: $i] :
( perp(sK16(sK20,sK23,sK22,X0,X1),sK20,X0,X1)
| ~ coll(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_5097,c_156]) ).
tcf(c_12148,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK16(sK20,sK23,sK22,X0,X1),sK20)
| ~ coll(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_12047,c_56]) ).
tcf(c_12267,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ coll(sK23,X0,X1)
| ~ perp(sK16(sK20,sK23,sK22,X0,X1),sK20,X2,X3) ),
inference(superposition,[status(thm)],[c_12148,c_57]) ).
tcf(c_12318,plain,
( para(sK20,sK20,sK20,sK20)
| ~ coll(sK23,sK20,sK20)
| ~ perp(sK16(sK20,sK23,sK22,sK20,sK20),sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12267]) ).
tcf(c_13044,plain,
! [X0: $i] :
( midp(sK22,X0,sK23)
| ~ midp(sK23,X0,sK22)
| ~ coll(sK22,X0,sK23) ),
inference(superposition,[status(thm)],[c_8338,c_94]) ).
tcf(c_13048,plain,
para(sK23,sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_8338,c_52]) ).
tcf(c_13061,plain,
( midp(sK22,sK20,sK23)
| ~ midp(sK23,sK20,sK22)
| ~ coll(sK22,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_13044]) ).
tcf(c_13086,plain,
! [X0: $i] :
( midp(sK21,X0,sK23)
| ~ midp(sK23,X0,sK21)
| ~ coll(sK21,X0,sK23) ),
inference(superposition,[status(thm)],[c_8433,c_94]) ).
tcf(c_13090,plain,
para(sK23,sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_8433,c_52]) ).
tcf(c_13103,plain,
( midp(sK21,sK20,sK23)
| ~ midp(sK23,sK20,sK21)
| ~ coll(sK21,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_13086]) ).
tcf(c_13543,plain,
coll(sK23,sK22,sK22),
inference(superposition,[status(thm)],[c_13048,c_115]) ).
tcf(c_13561,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK22,X0) ),
inference(superposition,[status(thm)],[c_13543,c_51]) ).
tcf(c_13562,plain,
coll(sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_13543,c_50]) ).
tcf(c_13566,plain,
( coll(sK22,sK20,sK23)
| ~ coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_13561]) ).
tcf(c_13585,plain,
coll(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_13562,c_49]) ).
tcf(c_13591,plain,
coll(sK20,sK23,sK22),
inference(superposition,[status(thm)],[c_13585,c_6909]) ).
tcf(c_14081,plain,
coll(sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_13591,c_50]) ).
tcf(c_14082,plain,
coll(sK20,sK22,sK23),
inference(superposition,[status(thm)],[c_13591,c_49]) ).
tcf(c_14095,plain,
coll(sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_14081,c_49]) ).
tcf(c_14124,plain,
coll(sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_14082,c_6835]) ).
tcf(c_15764,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK22,sK23,sK22,X1,X2,X3,X4,X5)
| ~ circle(sK20,sK22,X1,X0)
| ~ eqangle(X0,sK22,X0,X1,X2,X3,X4,X5) ),
inference(superposition,[status(thm)],[c_10474,c_70]) ).
tcf(c_19182,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,sK22,X0,sK22,sK23,sK22,X0)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_10669,c_15764]) ).
tcf(c_20042,plain,
coll(sK23,sK21,sK21),
inference(superposition,[status(thm)],[c_13090,c_115]) ).
tcf(c_20075,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_20042,c_51]) ).
tcf(c_20076,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_20042,c_50]) ).
tcf(c_20080,plain,
( coll(sK21,sK20,sK23)
| ~ coll(sK23,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_20075]) ).
tcf(c_20099,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_20076,c_49]) ).
tcf(c_20105,plain,
coll(sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_20099,c_8004]) ).
tcf(c_20110,plain,
coll(sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_20105,c_50]) ).
tcf(c_20119,plain,
coll(sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_20110,c_49]) ).
tcf(c_22111,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK20,X0,X1)
| ~ perp(X0,X1,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_22112,plain,
( perp(sK22,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_22111]) ).
tcf(c_22482,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK23,sK21,sK24)
| ~ para(sK20,sK23,X0,X1)
| ~ para(X0,X1,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_22483,plain,
( para(sK20,sK23,sK21,sK24)
| ~ para(sK20,sK23,sK20,sK20)
| ~ para(sK20,sK20,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_22482]) ).
tcf(c_26403,plain,
( cong(sK20,sK22,sK20,sK22)
| ~ midp(sK22,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7170,c_7613]) ).
tcf(c_26743,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK21,sK20,sK23) ),
inference(superposition,[status(thm)],[c_7191,c_7614]) ).
tcf(c_26878,plain,
cong(sK23,sK20,sK23,sK22),
inference(global_subsumption_just,[status(thm)],[c_7250,c_165,c_174,c_178,c_232,c_6622,c_6809,c_6841,c_6875,c_7250,c_7596,c_8875,c_9268,c_9912,c_12318,c_14124]) ).
tcf(c_26886,plain,
( midp(sK23,sK20,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_26878,c_116]) ).
tcf(c_26897,plain,
midp(sK23,sK20,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_26886,c_14081]) ).
tcf(c_26927,plain,
cong(sK22,sK20,sK22,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_7248,c_26897]) ).
tcf(c_27060,plain,
cong(sK22,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_26927,c_72]) ).
tcf(c_27146,plain,
cong(sK23,sK20,sK23,sK21),
inference(global_subsumption_just,[status(thm)],[c_7251,c_165,c_174,c_178,c_232,c_6809,c_6841,c_7251,c_7596,c_7696,c_8875,c_9266,c_9912,c_12318,c_14124]) ).
tcf(c_27154,plain,
( midp(sK23,sK20,sK21)
| ~ coll(sK23,sK20,sK21) ),
inference(superposition,[status(thm)],[c_27146,c_116]) ).
tcf(c_27165,plain,
midp(sK23,sK20,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_27154,c_20110]) ).
tcf(c_27438,plain,
cong(sK22,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_27060,c_71]) ).
tcf(c_28258,plain,
cong(sK20,sK22,sK22,sK22),
inference(superposition,[status(thm)],[c_27438,c_72]) ).
tcf(c_28904,plain,
cong(sK20,sK22,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_9606,c_13061,c_13566,c_14095,c_26403,c_26897]) ).
tcf(c_28911,plain,
! [X0: $i] :
( circle(sK20,sK22,X0,sK22)
| ~ cong(sK20,sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_28904,c_60]) ).
tcf(c_28919,plain,
cong(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_28904,c_71]) ).
tcf(c_28921,plain,
! [X0: $i] :
( perp(sK20,sK20,sK22,X0)
| ~ cong(sK20,X0,sK20,X0) ),
inference(superposition,[status(thm)],[c_28904,c_105]) ).
tcf(c_28982,plain,
( perp(sK20,sK20,sK22,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28921]) ).
tcf(c_28983,plain,
( circle(sK20,sK22,sK20,sK22)
| ~ cong(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28911]) ).
tcf(c_29115,plain,
! [X0: $i] :
( perp(sK20,sK22,X0,sK22)
| ~ midp(X0,sK20,sK23) ),
inference(superposition,[status(thm)],[c_28258,c_7923]) ).
tcf(c_29849,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK22,X0,X1)
| ~ cong(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_28919,c_73]) ).
tcf(c_29850,plain,
cong(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_28919,c_72]) ).
tcf(c_29854,plain,
( cong(sK20,sK22,sK20,sK20)
| ~ cong(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29849]) ).
tcf(c_30264,plain,
cong(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_29850,c_71]) ).
tcf(c_30327,plain,
( midp(sK22,sK20,sK20)
| ~ coll(sK22,sK20,sK20) ),
inference(superposition,[status(thm)],[c_30264,c_116]) ).
tcf(c_30339,plain,
( cong(sK20,sK20,sK22,sK20)
| ~ midp(sK20,sK20,sK23) ),
inference(superposition,[status(thm)],[c_30264,c_7613]) ).
tcf(c_30340,plain,
midp(sK22,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_30327,c_6836]) ).
tcf(c_30406,plain,
midp(sK22,sK22,sK22),
inference(superposition,[status(thm)],[c_30340,c_10929]) ).
tcf(c_31024,plain,
! [X0: $i] :
( cong(sK20,X0,sK22,X0)
| ~ midp(sK22,sK20,sK23)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_29115,c_101]) ).
tcf(c_31055,plain,
( cong(sK20,sK20,sK22,sK20)
| ~ midp(sK22,sK20,sK23)
| ~ midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_31024]) ).
tcf(c_31552,plain,
cong(sK20,sK20,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_30339,c_6622,c_6763,c_9264,c_13061,c_13566,c_14095,c_26897,c_30340,c_31055]) ).
tcf(c_31555,plain,
cong(sK22,sK20,sK20,sK20),
inference(superposition,[status(thm)],[c_31552,c_72]) ).
tcf(c_31556,plain,
cong(sK20,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_31552,c_71]) ).
tcf(c_31701,plain,
cong(sK20,sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_31556,c_72]) ).
tcf(c_32683,plain,
( circle(sK20,sK22,sK20,sK23)
| ~ midp(sK22,sK22,sK23) ),
inference(superposition,[status(thm)],[c_31701,c_7567]) ).
tcf(c_33930,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK21,sK24)
| ~ perp(X2,X3,sK21,sK24)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_33934,plain,
( para(sK20,sK20,sK21,sK24)
| ~ perp(sK20,sK20,sK21,sK24)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_33930]) ).
tcf(c_34064,plain,
para(sK22,sK23,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_11189,c_10687,c_28983,c_29854,c_31555]) ).
tcf(c_34066,plain,
! [X0: $i] :
( midp(X0,sK23,sK22)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK23) ),
inference(superposition,[status(thm)],[c_34064,c_113]) ).
tcf(c_34070,plain,
para(sK22,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_34064,c_53]) ).
tcf(c_34080,plain,
! [X0: $i] :
( midp(X0,sK23,sK22)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34066,c_34070]) ).
tcf(c_39868,plain,
midp(sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_30406,c_34080]) ).
tcf(c_39946,plain,
midp(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_39868,c_59]) ).
tcf(c_39952,plain,
circle(sK20,sK22,sK20,sK23),
inference(backward_subsumption_resolution,[status(thm)],[c_32683,c_39946]) ).
tcf(c_41150,plain,
( perp(sK22,sK20,sK20,sK23)
| ~ coll(sK20,sK22,sK23) ),
inference(superposition,[status(thm)],[c_39952,c_102]) ).
tcf(c_41154,plain,
perp(sK22,sK20,sK20,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_41150,c_14082]) ).
tcf(c_42522,plain,
perp(sK20,sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_41154,c_56]) ).
tcf(c_46364,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK23,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_42522,c_57]) ).
tcf(c_46370,plain,
( para(sK20,sK23,sK20,sK20)
| ~ perp(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_46364]) ).
tcf(c_47032,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK21,sK24)
| ~ cong(X0,sK24,X1,sK24)
| ~ cong(X0,sK21,X1,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_47033,plain,
( perp(sK20,sK20,sK21,sK24)
| ~ cong(sK20,sK24,sK20,sK24)
| ~ cong(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_47032]) ).
tcf(c_52524,plain,
eqangle(sK22,sK23,sK22,sK24,sK22,sK23,sK22,sK24),
inference(superposition,[status(thm)],[c_5094,c_19182]) ).
tcf(c_52534,plain,
eqangle(sK22,sK24,sK22,sK23,sK22,sK24,sK22,sK23),
inference(superposition,[status(thm)],[c_52524,c_67]) ).
tcf(c_52576,plain,
para(sK22,sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_52534,c_87]) ).
tcf(c_53813,plain,
( perp(sK22,sK24,sK24,sK28)
| ~ coll(sK20,sK22,sK28) ),
inference(superposition,[status(thm)],[c_5094,c_102]) ).
tcf(c_54024,plain,
( perp(sK22,sK24,sK28,sK24)
| ~ coll(sK20,sK22,sK28) ),
inference(superposition,[status(thm)],[c_53813,c_55]) ).
tcf(c_55034,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK24,X0,X1)
| ~ coll(sK20,sK22,sK28)
| ~ perp(sK28,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_54024,c_57]) ).
tcf(c_55036,plain,
( perp(sK28,sK24,sK22,sK24)
| ~ coll(sK20,sK22,sK28) ),
inference(superposition,[status(thm)],[c_54024,c_56]) ).
tcf(c_55361,plain,
( para(sK22,sK24,sK22,sK24)
| ~ coll(sK20,sK22,sK28) ),
inference(superposition,[status(thm)],[c_55036,c_55034]) ).
tcf(c_55560,plain,
para(sK22,sK24,sK22,sK24),
inference(global_subsumption_just,[status(thm)],[c_55361,c_52576]) ).
tcf(c_56436,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK24,sK22,sK24) ),
inference(superposition,[status(thm)],[c_55560,c_113]) ).
tcf(c_56469,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_56436,c_55560]) ).
tcf(c_56489,plain,
( midp(sK20,sK24,sK24)
| ~ midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_56469]) ).
tcf(c_71096,plain,
! [X0: $i] :
( cong(X0,sK24,X0,sK24)
| ~ midp(X0,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_71097,plain,
( cong(sK20,sK24,sK20,sK24)
| ~ midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_71096]) ).
tcf(c_71098,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_71097,c_56489,c_47033,c_46370,c_33934,c_28982,c_27165,c_26743,c_22483,c_22112,c_20119,c_20080,c_14124,c_13103,c_12318,c_10940,c_9912,c_8875,c_7596,c_6841,c_6809,c_232,c_183,c_178,c_174,c_162,c_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO648+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.37 % Computer : n010.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Wed Sep 23 12:40:05 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.41 Running first-order theorem proving
% 0.14/5.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/5.42
% 0.14/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.42
% 0.14/5.42 % Detected problem language: tptp
% 0.14/5.43 % Proving...
% 21.02/9.77 % SZS status Started for theBenchmark.p
% 21.02/9.77 % SZS status Theorem for theBenchmark.p
% 21.02/9.77
% 21.02/9.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.02/9.77
% 21.02/9.77 % ------ iProver source info
% 21.02/9.77
% 21.02/9.77 % git: date: 2026-07-19 20:42:38 +0200
% 21.02/9.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.02/9.77 % git: non_committed_changes: false
% 21.02/9.77
% 21.02/9.77 % ------ Parsing...
% 21.02/9.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 21.02/9.77
% 21.02/9.77 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 21.02/9.77
% 21.02/9.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 21.02/9.77
% 21.02/9.77 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 21.02/9.77 % ------ Proving...
% 21.02/9.77 % ------ Problem Properties
% 21.02/9.77
% 21.02/9.77 %
% 21.02/9.77 % clauses 119
% 21.02/9.77 % conjectures 7
% 21.02/9.77 % EPR 82
% 21.02/9.77 % Horn 109
% 21.02/9.77 % unary 7
% 21.02/9.77 % binary 37
% 21.02/9.77 % lits 335
% 21.02/9.77 % lits eq 4
% 21.02/9.77 % fd_pure 0
% 21.02/9.77 % fd_pseudo 0
% 21.02/9.77 % fd_cond 0
% 21.02/9.77 % fd_pseudo_cond 4
% 21.02/9.77 % AC symbols 0
% 21.02/9.77
% 21.02/9.77 % ------ Schedule dynamic 5 is on
% 21.02/9.77
% 21.02/9.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.02/9.77
% 21.02/9.77
% 21.02/9.77 % ------
% 21.02/9.77 % Current options:
% 21.02/9.77 % ------
% 21.02/9.77
% 21.02/9.77
% 21.02/9.77 %
% 21.02/9.77
% 21.02/9.77 % ------ Proving...
% 21.02/9.77 %
% 21.02/9.77
% 21.02/9.77 % SZS status Theorem for theBenchmark.p
% 21.02/9.77
% 21.02/9.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.02/9.78
% 21.02/9.78
%------------------------------------------------------------------------------