%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO581+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 : n020.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 01:21:32 PM UTC 2026
% Result : Theorem 17.14s 4.24s
% Output : CNFRefutation 17.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of formulae : 278 ( 35 unt; 0 def)
% Number of atoms : 664 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 711 ( 325 ~; 319 |; 37 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 814 ( 0 sgn 802 !; 12 ?; 294 :)
% Comments :
%------------------------------------------------------------------------------
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(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(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f18,axiom,
! [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) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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(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(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
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(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(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X0,X3)
& coll(X5,X1,X4)
& cong(X0,X4,X4,X3)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& perp(X2,X0,X2,X1) )
=> eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416043) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X0,X3)
& coll(X5,X1,X4)
& cong(X0,X4,X4,X3)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& perp(X2,X0,X2,X1) )
=> eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5] :
( coll(X5,X0,X3)
& coll(X5,X1,X4)
& cong(X0,X4,X4,X3)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& perp(X2,X0,X2,X1)
& ~ eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5] :
( coll(X5,X0,X3)
& coll(X5,X1,X4)
& cong(X0,X4,X4,X3)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& perp(X2,X0,X2,X1)
& ~ eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
inference(flattening,[],[f98]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f126,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(f127,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,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f142,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(f143,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f148]) ).
fof(f150,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(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f156,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(f157,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f156]) ).
fof(f158,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f162,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(f163,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(f164,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(f165,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,[],[f164]) ).
fof(f166,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(f167,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(f168,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(f169,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(ennf_transformation,[],[f18]) ).
fof(f172,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(f173,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,[],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f175,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f174]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f183,plain,
( coll(sK5,sK0,sK3)
& coll(sK5,sK1,sK4)
& cong(sK0,sK4,sK4,sK3)
& eqangle(sK1,sK0,sK0,sK4,sK0,sK4,sK4,sK3)
& perp(sK2,sK0,sK2,sK1)
& ~ eqangle(sK0,sK2,sK2,sK5,sK5,sK2,sK2,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f99]) ).
fof(f200,plain,
cong(sK0,sK4,sK4,sK3),
inference(cnf_transformation,[],[f183]) ).
fof(f201,plain,
eqangle(sK1,sK0,sK0,sK4,sK0,sK4,sK4,sK3),
inference(cnf_transformation,[],[f183]) ).
fof(f202,plain,
perp(sK2,sK0,sK2,sK1),
inference(cnf_transformation,[],[f183]) ).
fof(f203,plain,
~ eqangle(sK0,sK2,sK2,sK5,sK5,sK2,sK2,sK1),
inference(cnf_transformation,[],[f183]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f227,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f229,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,[],[f127]) ).
fof(f230,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f242,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f243,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f244,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,[],[f151]) ).
fof(f245,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f246,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f248,plain,
! [X2,X0,X1] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f249,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,[],[f157]) ).
fof(f250,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f251,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f159]) ).
fof(f253,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f162]) ).
fof(f254,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f255,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,[],[f165]) ).
fof(f256,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,[],[f166]) ).
fof(f257,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,[],[f167]) ).
fof(f258,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,[],[f168]) ).
fof(f259,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f169]) ).
fof(f263,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,[],[f173]) ).
fof(f264,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f175]) ).
fof(f267,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_49,negated_conjecture,
~ eqangle(sK0,sK2,sK2,sK5,sK5,sK2,sK2,sK1),
inference(cnf_transformation,[],[f203]) ).
tcf(c_50,negated_conjecture,
perp(sK2,sK0,sK2,sK1),
inference(cnf_transformation,[],[f202]) ).
tcf(c_51,negated_conjecture,
eqangle(sK1,sK0,sK0,sK4,sK0,sK4,sK4,sK3),
inference(cnf_transformation,[],[f201]) ).
tcf(c_52,negated_conjecture,
cong(sK0,sK4,sK4,sK3),
inference(cnf_transformation,[],[f200]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_80,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,[],[f229]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_91,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,[],[f240]) ).
tcf(c_92,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,[],[f241]) ).
tcf(c_93,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,[],[f242]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f243]) ).
tcf(c_95,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,[],[f244]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f245]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X1,X2,X1,X2,X0,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f248]) ).
tcf(c_100,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,[],[f249]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f250]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_104,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,[],[f253]) ).
tcf(c_105,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,[],[f254]) ).
tcf(c_106,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(X8,X9,X10,X11,X4,X5,X6,X7)
| ~ eqangle(X8,X9,X10,X11,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_107,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,[],[f256]) ).
tcf(c_108,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,[],[f257]) ).
tcf(c_109,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,[],[f258]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f259]) ).
tcf(c_114,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,[],[f263]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_122,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_130,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_941,plain,
( perp(sK2,sK1,sK2,sK0)
| ~ perp(sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_943,plain,
( cong(sK4,sK3,sK0,sK4)
| ~ cong(sK0,sK4,sK4,sK3) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_953,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK0,X0,X1)
| ~ perp(sK2,sK0,sK2,sK1)
| ~ perp(sK2,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_955,plain,
! [X0: $i,X1: $i] :
( cong(sK0,sK4,X0,X1)
| ~ cong(sK0,sK4,sK4,sK3)
| ~ cong(sK4,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_978,plain,
( eqangle(sK0,sK4,sK4,sK3,sK1,sK0,sK0,sK4)
| ~ eqangle(sK1,sK0,sK0,sK4,sK0,sK4,sK4,sK3) ),
inference(instantiation,[status(thm)],[c_108]) ).
tcf(c_1003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK0,sK4,sK4,sK3)
| ~ eqangle(sK1,sK0,sK0,sK4,sK0,sK4,sK4,sK3)
| ~ eqangle(X0,X1,X2,X3,sK1,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_1095,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK1,X0,X1)
| ~ perp(sK2,sK1,sK2,sK0)
| ~ perp(sK2,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_1208,plain,
( eqangle(sK4,sK0,sK4,sK3,sK1,sK0,sK0,sK4)
| ~ eqangle(sK0,sK4,sK4,sK3,sK1,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_1225,plain,
( para(sK2,sK0,sK2,sK0)
| ~ perp(sK2,sK1,sK2,sK0)
| ~ perp(sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_953]) ).
tcf(c_1226,plain,
( cong(sK0,sK4,sK0,sK4)
| ~ cong(sK4,sK3,sK0,sK4)
| ~ cong(sK0,sK4,sK4,sK3) ),
inference(instantiation,[status(thm)],[c_955]) ).
tcf(c_1227,plain,
( eqangle(sK0,sK4,sK4,sK3,sK0,sK4,sK4,sK3)
| ~ eqangle(sK1,sK0,sK0,sK4,sK0,sK4,sK4,sK3)
| ~ eqangle(sK0,sK4,sK4,sK3,sK1,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_1003]) ).
tcf(c_1593,plain,
perp(sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_50,c_96]) ).
tcf(c_1598,plain,
perp(sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_50,c_96]) ).
tcf(c_1606,plain,
perp(sK2,sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_1593,c_97]) ).
tcf(c_1612,plain,
perp(sK2,sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_1598,c_97]) ).
tcf(c_1716,plain,
perp(sK0,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_1606,c_96]) ).
tcf(c_2138,plain,
( eqangle(sK4,sK0,sK4,sK3,sK0,sK4,sK4,sK3)
| ~ eqangle(sK4,sK0,sK4,sK3,sK1,sK0,sK0,sK4)
| ~ eqangle(sK1,sK0,sK0,sK4,sK0,sK4,sK4,sK3) ),
inference(instantiation,[status(thm)],[c_1003]) ).
tcf(c_2288,plain,
( coll(sK2,sK0,sK0)
| ~ para(sK2,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_2318,plain,
( para(sK0,sK4,sK0,sK4)
| ~ eqangle(sK0,sK4,sK4,sK3,sK0,sK4,sK4,sK3) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_2332,plain,
( para(sK2,sK1,sK2,sK1)
| ~ perp(sK2,sK1,sK2,sK0)
| ~ perp(sK2,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_1095]) ).
tcf(c_3059,plain,
( para(sK4,sK0,sK0,sK4)
| ~ eqangle(sK4,sK0,sK4,sK3,sK0,sK4,sK4,sK3) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_3068,plain,
! [X0: $i] :
( cong(sK0,X0,sK2,X0)
| ~ midp(X0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_1716,c_93]) ).
tcf(c_3073,plain,
( cong(sK0,sK0,sK2,sK0)
| ~ midp(sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_3068]) ).
tcf(c_3319,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK0,X0,X1)
| ~ perp(sK2,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_95]) ).
tcf(c_3320,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK1,X0,X1)
| ~ perp(sK2,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_1593,c_95]) ).
tcf(c_3357,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK0,X0,X1)
| ~ perp(sK2,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_95]) ).
tcf(c_3655,plain,
para(sK2,sK0,sK2,sK0),
inference(superposition,[status(thm)],[c_1593,c_3319]) ).
tcf(c_3662,plain,
para(sK2,sK0,sK0,sK2),
inference(superposition,[status(thm)],[c_1612,c_3357]) ).
tcf(c_3665,plain,
coll(sK2,sK0,sK0),
inference(superposition,[status(thm)],[c_3655,c_78]) ).
tcf(c_3674,plain,
para(sK0,sK2,sK2,sK0),
inference(superposition,[status(thm)],[c_3662,c_118]) ).
tcf(c_4121,plain,
( midp(sK0,sK4,sK4)
| ~ coll(sK0,sK4,sK4)
| ~ cong(sK0,sK4,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_5067,plain,
eqangle(sK0,sK4,sK4,sK3,sK1,sK0,sK0,sK4),
inference(superposition,[status(thm)],[c_51,c_108]) ).
tcf(c_5354,plain,
! [X0: $i] :
( coll(sK0,X0,sK2)
| ~ coll(sK2,sK0,X0) ),
inference(superposition,[status(thm)],[c_3665,c_81]) ).
tcf(c_5359,plain,
( coll(sK0,sK0,sK2)
| ~ coll(sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5354]) ).
tcf(c_5441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK1,sK0,sK0,sK4)
| ~ eqangle(X0,X1,X2,X3,sK0,sK4,sK4,sK3) ),
inference(superposition,[status(thm)],[c_5067,c_106]) ).
tcf(c_5560,plain,
( coll(sK0,sK4,sK4)
| ~ para(sK0,sK4,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_5881,plain,
eqangle(sK1,sK0,sK0,sK4,sK1,sK0,sK0,sK4),
inference(superposition,[status(thm)],[c_51,c_5441]) ).
tcf(c_6295,plain,
para(sK1,sK0,sK1,sK0),
inference(superposition,[status(thm)],[c_5881,c_105]) ).
tcf(c_6362,plain,
coll(sK1,sK0,sK0),
inference(superposition,[status(thm)],[c_6295,c_78]) ).
tcf(c_6638,plain,
! [X0: $i,X1: $i] :
( coll(sK0,X1,sK1)
| ~ coll(sK1,X0,sK0)
| ~ coll(sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_6639,plain,
( coll(sK0,sK0,sK1)
| ~ coll(sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6638]) ).
tcf(c_7435,plain,
para(sK2,sK1,sK2,sK1),
inference(superposition,[status(thm)],[c_50,c_3320]) ).
tcf(c_7446,plain,
( para(sK4,sK0,sK4,sK0)
| ~ para(sK4,sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_7800,plain,
! [X0: $i,X1: $i] :
( midp(sK0,X0,X1)
| ~ midp(sK0,sK4,sK4)
| ~ para(sK4,X1,sK4,X0)
| ~ para(sK4,X0,sK4,X1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_7801,plain,
( midp(sK0,sK0,sK0)
| ~ midp(sK0,sK4,sK4)
| ~ para(sK4,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_7800]) ).
tcf(c_9451,plain,
( cong(sK2,sK0,sK2,sK2)
| ~ midp(sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_9488,plain,
( cong(sK2,sK2,sK2,sK0)
| ~ cong(sK2,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_10099,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK2,sK2)
| ~ para(sK2,sK1,sK2,sK1) ),
inference(superposition,[status(thm)],[c_7435,c_114]) ).
tcf(c_10108,plain,
! [X0: $i] :
( midp(X0,sK1,sK1)
| ~ midp(X0,sK2,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10099,c_7435]) ).
tcf(c_10128,plain,
( midp(sK0,sK1,sK1)
| ~ midp(sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_10108]) ).
tcf(c_10493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,sK2,X2,X3)
| ~ perp(sK0,sK2,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_10494,plain,
( para(sK0,sK2,sK0,sK0)
| ~ perp(sK0,sK2,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_10493]) ).
tcf(c_10667,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK2,sK0)
| ~ eqangle(X0,X1,X2,X3,sK2,sK0,X2,X3) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_10899,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,sK2,sK1)
| ~ midp(X0,X2,sK1)
| ~ midp(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_10900,plain,
( para(sK0,sK0,sK2,sK1)
| ~ midp(sK0,sK0,sK1)
| ~ midp(sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_10899]) ).
tcf(c_11640,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK1)
| ~ cong(X0,sK1,X1,sK1)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_11641,plain,
( perp(sK0,sK0,sK0,sK1)
| ~ cong(sK0,sK1,sK0,sK1)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_11640]) ).
tcf(c_12836,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK1,X0,X1)
| ~ midp(X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_13252,plain,
( para(sK2,sK2,sK2,sK0)
| ~ eqangle(sK2,sK2,sK2,sK0,sK2,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_10667]) ).
tcf(c_13253,plain,
( eqangle(sK2,sK2,sK2,sK0,sK2,sK0,sK2,sK0)
| ~ cong(sK2,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_15372,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK1)
| ~ coll(X1,X3,sK1)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK1) ),
inference(instantiation,[status(thm)],[c_80]) ).
tcf(c_15373,plain,
( midp(sK0,sK0,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK1)
| ~ para(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_15372]) ).
tcf(c_15731,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_3674,c_119]) ).
tcf(c_16233,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK2)
| ~ coll(X0,X1,sK2)
| ~ cong(X0,X1,X0,sK2) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_16234,plain,
( midp(sK0,sK0,sK2)
| ~ coll(sK0,sK0,sK2)
| ~ cong(sK0,sK0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_16233]) ).
tcf(c_16907,plain,
! [X0: $i] :
( cong(X0,sK5,X0,sK5)
| ~ midp(X0,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_16908,plain,
( cong(sK0,sK5,sK0,sK5)
| ~ midp(sK0,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_16907]) ).
tcf(c_18376,plain,
perp(sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_50,c_96]) ).
tcf(c_18412,plain,
perp(sK2,sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_18376,c_97]) ).
tcf(c_18418,plain,
perp(sK0,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_18412,c_96]) ).
tcf(c_18701,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X0,X1)
| ~ cong(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_105]) ).
tcf(c_18859,plain,
( cong(sK2,sK2,sK2,sK0)
| ~ midp(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_18376,c_92]) ).
tcf(c_18889,plain,
! [X0: $i] :
( cong(sK0,X0,sK2,X0)
| ~ midp(X0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_18418,c_93]) ).
tcf(c_18999,plain,
( para(sK2,sK2,sK2,sK0)
| ~ midp(sK1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_18859,c_18701]) ).
tcf(c_19085,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK2,sK1)
| ~ para(X0,X1,sK2,sK0) ),
inference(superposition,[status(thm)],[c_50,c_94]) ).
tcf(c_19115,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK0,X0,X1)
| ~ perp(sK2,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_95]) ).
tcf(c_19280,plain,
para(sK2,sK0,sK0,sK2),
inference(superposition,[status(thm)],[c_18412,c_19115]) ).
tcf(c_19302,plain,
para(sK0,sK2,sK2,sK0),
inference(superposition,[status(thm)],[c_19280,c_118]) ).
tcf(c_19835,plain,
! [X0: $i,X1: $i] :
( perp(sK0,sK2,X1,X0)
| ~ midp(X1,sK0,sK1)
| ~ cong(sK0,X0,sK2,X0) ),
inference(superposition,[status(thm)],[c_18889,c_91]) ).
tcf(c_19837,plain,
! [X0: $i] :
( cong(sK0,X0,X0,sK2)
| ~ midp(X0,sK0,sK1) ),
inference(superposition,[status(thm)],[c_18889,c_102]) ).
tcf(c_19850,plain,
( cong(sK0,sK0,sK0,sK2)
| ~ midp(sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_19837]) ).
tcf(c_19851,plain,
( perp(sK0,sK2,sK0,sK0)
| ~ midp(sK0,sK0,sK1)
| ~ cong(sK0,sK0,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_19835]) ).
tcf(c_24400,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK0,sK2,sK2,sK5,sK5,sK2,sK2,sK1)
| ~ eqangle(sK0,sK2,sK2,sK5,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK5,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_25834,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK1)
| ~ perp(X2,X3,X4,sK1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_25835,plain,
( para(sK0,sK0,sK0,sK1)
| ~ perp(sK0,sK0,sK0,sK1)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_25834]) ).
tcf(c_27218,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_19302,c_119]) ).
tcf(c_28014,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(superposition,[status(thm)],[c_27218,c_114]) ).
tcf(c_28015,plain,
! [X0: $i] :
( midp(sK2,X0,sK2)
| ~ midp(sK0,X0,sK0)
| ~ coll(sK2,X0,sK2) ),
inference(superposition,[status(thm)],[c_27218,c_80]) ).
tcf(c_28024,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_28014,c_27218]) ).
tcf(c_28027,plain,
( midp(sK0,sK2,sK2)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_28024]) ).
tcf(c_28028,plain,
( midp(sK2,sK0,sK2)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_28015]) ).
tcf(c_29606,plain,
coll(sK0,sK2,sK2),
inference(superposition,[status(thm)],[c_15731,c_78]) ).
tcf(c_29700,plain,
coll(sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_29606,c_82]) ).
tcf(c_29853,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK2,sK2,sK5,sK5,sK2,sK2,sK1)
| ~ eqangle(sK0,sK2,sK2,sK5,X0,X1,sK2,sK1)
| ~ eqangle(X0,X1,sK2,sK1,sK5,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_24400]) ).
tcf(c_29854,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK2,sK1,sK5,sK2,sK2,sK1)
| ~ para(X0,X1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_29855,plain,
( eqangle(sK0,sK2,sK2,sK5,sK5,sK2,sK2,sK1)
| ~ eqangle(sK0,sK2,sK2,sK5,sK0,sK0,sK2,sK1)
| ~ eqangle(sK0,sK0,sK2,sK1,sK5,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_29853]) ).
tcf(c_29856,plain,
( eqangle(sK0,sK0,sK2,sK1,sK5,sK2,sK2,sK1)
| ~ para(sK0,sK0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_29854]) ).
tcf(c_30033,plain,
! [X0: $i] :
( cong(X0,sK1,X0,sK1)
| ~ midp(X0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_12836]) ).
tcf(c_30043,plain,
( cong(sK0,sK1,sK0,sK1)
| ~ midp(sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_30033]) ).
tcf(c_33632,plain,
para(sK2,sK2,sK2,sK0),
inference(global_subsumption_just,[status(thm)],[c_18999,c_52,c_51,c_943,c_978,c_1208,c_1226,c_1227,c_2138,c_2318,c_3059,c_4121,c_5560,c_7446,c_7801,c_9451,c_9488,c_13252,c_13253,c_28028,c_29700]) ).
tcf(c_33641,plain,
perp(sK2,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_33632,c_19085]) ).
tcf(c_34025,plain,
perp(sK2,sK1,sK2,sK2),
inference(superposition,[status(thm)],[c_33641,c_96]) ).
tcf(c_34451,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK2,sK2)
| ~ para(X0,X1,sK2,sK1) ),
inference(superposition,[status(thm)],[c_34025,c_94]) ).
tcf(c_34462,plain,
( perp(sK0,sK0,sK2,sK2)
| ~ para(sK0,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_34451]) ).
tcf(c_35865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK5,sK2)
| ~ perp(X2,X3,sK5,sK2)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_35866,plain,
( para(sK0,sK0,sK5,sK2)
| ~ perp(sK0,sK0,sK5,sK2)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_35865]) ).
tcf(c_44403,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK5,sK2,sK1)
| ~ eqangle(X4,X5,X6,X7,sK2,sK5,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_44406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK2,sK5,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK2,sK1,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_44407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X1,X0,X2,X3,sK2,sK5,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK2,sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_44611,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK2,sK5)
| ~ eqangle(X0,X1,X2,X3,sK2,sK5,X2,X3) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_44636,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK5,sK2,X2,X3)
| ~ para(X0,X1,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_44637,plain,
( eqangle(sK0,sK0,sK0,sK0,sK5,sK2,sK0,sK0)
| ~ para(sK0,sK0,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_44636]) ).
tcf(c_44752,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK5)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK5,X2,X1)
| ~ para(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_44785,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK2,sK5,sK2,sK1,sK2,sK5)
| ~ para(X0,X1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_44787,plain,
( eqangle(sK0,sK0,sK2,sK5,sK2,sK1,sK2,sK5)
| ~ para(sK0,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_44785]) ).
tcf(c_44864,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK5,sK2)
| ~ cong(X0,sK5,X1,sK5)
| ~ cong(X0,sK2,X1,sK2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_44865,plain,
( perp(sK0,sK0,sK5,sK2)
| ~ cong(sK0,sK5,sK0,sK5)
| ~ cong(sK0,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_44864]) ).
tcf(c_44900,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X6,X7,sK2,sK5,X4,X5,sK2,sK1)
| ~ eqangle(X6,X7,sK2,sK5,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_44902,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK2,sK5,X2,X3,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK2,sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_44903,plain,
( eqangle(sK0,sK0,sK2,sK5,sK0,sK0,sK2,sK1)
| ~ eqangle(sK0,sK0,sK0,sK0,sK2,sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_44902]) ).
tcf(c_44918,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK2,sK5,sK2,sK1,X2,X3,X0,X1)
| ~ eqangle(sK2,sK1,sK2,sK5,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_44948,plain,
! [X0: $i,X1: $i] :
( eqangle(sK0,sK2,sK2,sK5,X0,X1,sK2,sK5)
| ~ para(sK0,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_44950,plain,
( eqangle(sK0,sK2,sK2,sK5,sK0,sK0,sK2,sK5)
| ~ para(sK0,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_44948]) ).
tcf(c_45682,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,sK5,X0,X1,sK2,sK5,sK2,sK1)
| ~ eqangle(X0,X1,sK2,sK5,sK2,sK1,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_44406]) ).
tcf(c_45684,plain,
( eqangle(sK2,sK5,sK0,sK0,sK2,sK5,sK2,sK1)
| ~ eqangle(sK0,sK0,sK2,sK5,sK2,sK1,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_45682]) ).
tcf(c_45921,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK2,X0,sK2)
| ~ midp(X1,sK2,sK2)
| ~ perp(X0,X1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_45922,plain,
( cong(sK0,sK2,sK0,sK2)
| ~ midp(sK0,sK2,sK2)
| ~ perp(sK0,sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_45921]) ).
tcf(c_46513,plain,
( eqangle(sK2,sK5,sK2,sK1,sK2,sK5,sK2,sK1)
| ~ eqangle(sK2,sK1,sK2,sK5,sK2,sK1,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_44918]) ).
tcf(c_46514,plain,
( eqangle(sK2,sK1,sK2,sK5,sK2,sK1,sK2,sK5)
| ~ para(sK2,sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_44785]) ).
tcf(c_48185,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK2,X0,X1,sK2,sK5,sK2,sK1)
| ~ eqangle(sK2,sK5,X0,X1,sK2,sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_44407]) ).
tcf(c_48190,plain,
( eqangle(sK5,sK2,sK0,sK0,sK2,sK5,sK2,sK1)
| ~ eqangle(sK2,sK5,sK0,sK0,sK2,sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_48185]) ).
tcf(c_49441,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK0,sK2,sK2,sK5,X2,X3,sK2,sK1)
| ~ eqangle(sK0,sK2,sK2,sK5,X0,X1,sK2,sK5)
| ~ eqangle(X0,X1,sK2,sK5,X2,X3,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_44900]) ).
tcf(c_49442,plain,
( eqangle(sK0,sK2,sK2,sK5,sK0,sK0,sK2,sK1)
| ~ eqangle(sK0,sK2,sK2,sK5,sK0,sK0,sK2,sK5)
| ~ eqangle(sK0,sK0,sK2,sK5,sK0,sK0,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_49441]) ).
tcf(c_49653,plain,
( para(sK2,sK5,sK2,sK5)
| ~ eqangle(sK2,sK5,sK2,sK1,sK2,sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_44611]) ).
tcf(c_55713,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,sK2,sK5,sK2,sK1)
| ~ eqangle(sK5,sK2,X4,X5,sK2,sK5,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK5,sK2,X4,X5) ),
inference(instantiation,[status(thm)],[c_44403]) ).
tcf(c_55714,plain,
( eqangle(sK0,sK0,sK0,sK0,sK2,sK5,sK2,sK1)
| ~ eqangle(sK5,sK2,sK0,sK0,sK2,sK5,sK2,sK1)
| ~ eqangle(sK0,sK0,sK0,sK0,sK5,sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_55713]) ).
tcf(c_58046,plain,
! [X0: $i] :
( midp(X0,sK5,sK5)
| ~ midp(X0,sK2,sK2)
| ~ para(sK2,sK5,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_44752]) ).
tcf(c_58048,plain,
( midp(sK0,sK5,sK5)
| ~ midp(sK0,sK2,sK2)
| ~ para(sK2,sK5,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_58046]) ).
tcf(c_58049,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_58048,c_55714,c_49653,c_49442,c_48190,c_46514,c_46513,c_45922,c_45684,c_44950,c_44903,c_44865,c_44787,c_44637,c_35866,c_34462,c_30043,c_29856,c_29855,c_28027,c_25835,c_19851,c_19850,c_16908,c_16234,c_15373,c_11641,c_10900,c_10494,c_10128,c_7801,c_7446,c_6639,c_6362,c_5560,c_5359,c_4121,c_3073,c_3059,c_2332,c_2318,c_2288,c_2138,c_1227,c_1226,c_1225,c_1208,c_978,c_943,c_941,c_130,c_122,c_49,c_51,c_50,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO581+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 12:28:47 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 17.14/4.24 % SZS status Started for theBenchmark.p
% 17.14/4.24 % SZS status Theorem for theBenchmark.p
% 17.14/4.24
% 17.14/4.24 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.14/4.24
% 17.14/4.24 % ------ iProver source info
% 17.14/4.24
% 17.14/4.24 % git: date: 2026-07-19 20:42:38 +0200
% 17.14/4.24 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.14/4.24 % git: non_committed_changes: false
% 17.14/4.24
% 17.14/4.24 % ------ Parsing...
% 17.14/4.24 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.14/4.24
% 17.14/4.24 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 17.14/4.24
% 17.14/4.24 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.14/4.24 % ------ Proving...
% 17.14/4.24 % ------ Problem Properties
% 17.14/4.24
% 17.14/4.24 %
% 17.14/4.24 % clauses 71
% 17.14/4.24 % conjectures 6
% 17.14/4.24 % EPR 43
% 17.14/4.24 % Horn 69
% 17.14/4.24 % unary 6
% 17.14/4.24 % binary 19
% 17.14/4.24 % lits 195
% 17.14/4.24 % lits eq 0
% 17.14/4.24 % fd_pure 0
% 17.14/4.24 % fd_pseudo 0
% 17.14/4.24 % fd_cond 0
% 17.14/4.24 % fd_pseudo_cond 0
% 17.14/4.24 % AC symbols 0
% 17.14/4.24
% 17.14/4.24 % ------ Schedule dynamic 5 is on
% 17.14/4.24
% 17.14/4.24 % ------ no equalities: superposition off
% 17.14/4.24
% 17.14/4.24 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.14/4.24
% 17.14/4.24
% 17.14/4.24 % ------
% 17.14/4.24 % Current options:
% 17.14/4.24 % ------
% 17.14/4.24
% 17.14/4.24
% 17.14/4.24 %
% 17.14/4.24
% 17.14/4.24 % ------ Proving...
% 17.14/4.24 %
% 17.14/4.24
% 17.14/4.24 % SZS status Theorem for theBenchmark.p
% 17.14/4.24
% 17.14/4.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.14/4.24
% 17.14/4.24
%------------------------------------------------------------------------------