%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO625+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 01:21:40 PM UTC 2026
% Result : Theorem 54.12s 8.49s
% Output : CNFRefutation 54.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 32
% Syntax : Number of formulae : 449 ( 50 unt; 0 def)
% Number of atoms : 1166 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1343 ( 626 ~; 620 |; 64 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 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 : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 1099 ( 0 sgn1079 !; 20 ?; 485 :)
% 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(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(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(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(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
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(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(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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X9,X7,X5,X8)
& midp(X8,X2,X3)
& midp(X7,X3,X1)
& midp(X6,X0,X2)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> eqangle(X6,X5,X5,X9,X9,X5,X5,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110989) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X9,X7,X5,X8)
& midp(X8,X2,X3)
& midp(X7,X3,X1)
& midp(X6,X0,X2)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> eqangle(X6,X5,X5,X9,X9,X5,X5,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( circle(X9,X7,X5,X8)
& midp(X8,X2,X3)
& midp(X7,X3,X1)
& midp(X6,X0,X2)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ eqangle(X6,X5,X5,X9,X9,X5,X5,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( circle(X9,X7,X5,X8)
& midp(X8,X2,X3)
& midp(X7,X3,X1)
& midp(X6,X0,X2)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ eqangle(X6,X5,X5,X9,X9,X5,X5,X4) ),
inference(flattening,[],[f98]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f110]) ).
fof(f112,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(f113,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,[],[f112]) ).
fof(f114,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f114]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f118]) ).
fof(f120,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(f121,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,[],[f120]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f130]) ).
fof(f140,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(f141,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f140]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f150]) ).
fof(f159,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(f160,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(f161,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(f162,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,[],[f161]) ).
fof(f163,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(f164,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(f165,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(f166,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(f177,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(f178,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f177]) ).
fof(f181,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(f182,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f181]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f188]) ).
fof(f190,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f191,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f192,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(f193,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f196,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(f197,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f196]) ).
fof(f206,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(f207,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,[],[f206]) ).
fof(f208,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(f209,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,[],[f208]) ).
fof(f220,plain,
( circle(sK9,sK7,sK5,sK8)
& midp(sK8,sK2,sK3)
& midp(sK7,sK3,sK1)
& midp(sK6,sK0,sK2)
& midp(sK5,sK2,sK1)
& midp(sK4,sK1,sK0)
& eqangle(sK3,sK2,sK2,sK0,sK3,sK2,sK2,sK1)
& eqangle(sK3,sK1,sK1,sK2,sK3,sK1,sK1,sK0)
& eqangle(sK3,sK0,sK0,sK1,sK3,sK0,sK0,sK2)
& ~ eqangle(sK6,sK5,sK5,sK9,sK9,sK5,sK5,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9)],[f99]) ).
fof(f240,plain,
midp(sK8,sK2,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
midp(sK7,sK3,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
midp(sK6,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
midp(sK5,sK2,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f244,plain,
midp(sK4,sK1,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
eqangle(sK3,sK1,sK1,sK2,sK3,sK1,sK1,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f247,plain,
eqangle(sK3,sK0,sK0,sK1,sK3,sK0,sK0,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f248,plain,
~ eqangle(sK6,sK5,sK5,sK9,sK9,sK5,sK5,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f256,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f108]) ).
fof(f257,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f111]) ).
fof(f259,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,[],[f113]) ).
fof(f260,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f263,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,[],[f121]) ).
fof(f264,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f269,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f141]) ).
fof(f282,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f151]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f159]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f289,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,[],[f162]) ).
fof(f290,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,[],[f163]) ).
fof(f291,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,[],[f164]) ).
fof(f292,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,[],[f165]) ).
fof(f293,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,[],[f166]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f178]) ).
fof(f309,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,[],[f182]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f187]) ).
fof(f315,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f190]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f191]) ).
fof(f318,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,[],[f193]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f194]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f195]) ).
fof(f321,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,[],[f197]) ).
fof(f328,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,[],[f207]) ).
fof(f329,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,[],[f209]) ).
tcf(c_49,negated_conjecture,
~ eqangle(sK6,sK5,sK5,sK9,sK9,sK5,sK5,sK4),
inference(cnf_transformation,[],[f248]) ).
tcf(c_50,negated_conjecture,
eqangle(sK3,sK0,sK0,sK1,sK3,sK0,sK0,sK2),
inference(cnf_transformation,[],[f247]) ).
tcf(c_51,negated_conjecture,
eqangle(sK3,sK1,sK1,sK2,sK3,sK1,sK1,sK0),
inference(cnf_transformation,[],[f246]) ).
tcf(c_53,negated_conjecture,
midp(sK4,sK1,sK0),
inference(cnf_transformation,[],[f244]) ).
tcf(c_54,negated_conjecture,
midp(sK5,sK2,sK1),
inference(cnf_transformation,[],[f243]) ).
tcf(c_55,negated_conjecture,
midp(sK6,sK0,sK2),
inference(cnf_transformation,[],[f242]) ).
tcf(c_56,negated_conjecture,
midp(sK7,sK3,sK1),
inference(cnf_transformation,[],[f241]) ).
tcf(c_57,negated_conjecture,
midp(sK8,sK2,sK3),
inference(cnf_transformation,[],[f240]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f257]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f258]) ).
tcf(c_69,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,[],[f259]) ).
tcf(c_70,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,[],[f260]) ).
tcf(c_72,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,[],[f262]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_79,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,[],[f269]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X2,X3)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_97,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,[],[f287]) ).
tcf(c_98,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,[],[f288]) ).
tcf(c_99,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,[],[f289]) ).
tcf(c_100,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,[],[f290]) ).
tcf(c_101,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,[],[f291]) ).
tcf(c_102,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,[],[f292]) ).
tcf(c_103,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,[],[f293]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_119,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,[],[f309]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_128,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,[],[f318]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_131,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,[],[f321]) ).
tcf(c_138,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,[],[f328]) ).
tcf(c_139,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,[],[f329]) ).
tcf(c_148,plain,
( coll(sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_152,plain,
( eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_156,plain,
( midp(sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_159,plain,
( perp(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_164,plain,
( cyclic(sK1,sK1,sK1,sK1)
| ~ coll(sK1,sK1,sK1)
| ~ eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_198,plain,
( cong(sK1,sK1,sK1,sK1)
| ~ cyclic(sK1,sK1,sK1,sK1)
| ~ eqangle(sK1,sK1,sK1,sK1,sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_2047,plain,
( coll(sK4,sK1,sK0)
| ~ midp(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_2048,plain,
( coll(sK5,sK2,sK1)
| ~ midp(sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_2050,plain,
( coll(sK7,sK3,sK1)
| ~ midp(sK7,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_2052,plain,
( midp(sK4,sK0,sK1)
| ~ midp(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_2057,plain,
( cong(sK4,sK1,sK4,sK0)
| ~ midp(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_2058,plain,
( cong(sK5,sK2,sK5,sK1)
| ~ midp(sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_2060,plain,
( cong(sK7,sK3,sK7,sK1)
| ~ midp(sK7,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_2062,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK0,X1)
| ~ midp(sK4,sK1,sK0)
| ~ midp(sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_2074,plain,
! [X0: $i,X1: $i] :
( para(sK5,X0,sK1,X1)
| ~ midp(sK5,sK2,sK1)
| ~ midp(X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_2092,plain,
! [X0: $i] :
( cong(sK1,sK4,X0,sK4)
| ~ midp(sK4,sK1,sK0)
| ~ perp(sK1,X0,X0,sK0) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_2093,plain,
( cong(sK1,sK4,sK1,sK4)
| ~ midp(sK4,sK1,sK0)
| ~ perp(sK1,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2092]) ).
tcf(c_2105,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK2,X1)
| ~ midp(sK5,sK2,sK1)
| ~ coll(X0,sK2,X1)
| ~ para(sK5,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_2106,plain,
( midp(sK1,sK2,sK1)
| ~ coll(sK1,sK2,sK1)
| ~ midp(sK5,sK2,sK1)
| ~ para(sK5,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2105]) ).
tcf(c_2109,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK3,X1)
| ~ midp(sK7,sK3,sK1)
| ~ coll(X0,sK3,X1)
| ~ para(sK7,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_2110,plain,
( midp(sK1,sK3,sK1)
| ~ coll(sK1,sK3,sK1)
| ~ midp(sK7,sK3,sK1)
| ~ para(sK7,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2109]) ).
tcf(c_2123,plain,
! [X0: $i,X1: $i] :
( midp(sK4,X0,X1)
| ~ midp(sK4,sK1,sK0)
| ~ para(sK1,X1,sK0,X0)
| ~ para(sK1,X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_2125,plain,
! [X0: $i,X1: $i] :
( midp(sK5,X0,X1)
| ~ midp(sK5,sK2,sK1)
| ~ para(sK2,X1,sK1,X0)
| ~ para(sK2,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_2126,plain,
( midp(sK5,sK1,sK1)
| ~ midp(sK5,sK2,sK1)
| ~ para(sK2,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2125]) ).
tcf(c_2127,plain,
! [X0: $i,X1: $i] :
( midp(sK6,X0,X1)
| ~ midp(sK6,sK0,sK2)
| ~ para(sK0,X1,sK2,X0)
| ~ para(sK0,X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_2128,plain,
( midp(sK6,sK1,sK1)
| ~ midp(sK6,sK0,sK2)
| ~ para(sK0,sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_2127]) ).
tcf(c_2129,plain,
! [X0: $i,X1: $i] :
( midp(sK7,X0,X1)
| ~ midp(sK7,sK3,sK1)
| ~ para(sK3,X1,sK1,X0)
| ~ para(sK3,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_2130,plain,
( midp(sK7,sK1,sK1)
| ~ midp(sK7,sK3,sK1)
| ~ para(sK3,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2129]) ).
tcf(c_2131,plain,
! [X0: $i,X1: $i] :
( midp(sK8,X0,X1)
| ~ midp(sK8,sK2,sK3)
| ~ para(sK2,X1,sK3,X0)
| ~ para(sK2,X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_2132,plain,
( midp(sK8,sK1,sK1)
| ~ midp(sK8,sK2,sK3)
| ~ para(sK2,sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_2131]) ).
tcf(c_2239,plain,
( coll(sK4,sK0,sK1)
| ~ coll(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_2247,plain,
! [X0: $i] :
( perp(sK1,X0,X0,sK0)
| ~ coll(sK4,sK1,sK0)
| ~ circle(sK4,sK1,X0,sK0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_2248,plain,
( perp(sK1,sK1,sK1,sK0)
| ~ coll(sK4,sK1,sK0)
| ~ circle(sK4,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2247]) ).
tcf(c_2258,plain,
( coll(sK2,sK5,sK1)
| ~ coll(sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_2265,plain,
! [X0: $i] :
( perp(sK2,X0,X0,sK1)
| ~ coll(sK5,sK2,sK1)
| ~ circle(sK5,sK2,X0,sK1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_2266,plain,
( perp(sK2,sK1,sK1,sK1)
| ~ coll(sK5,sK2,sK1)
| ~ circle(sK5,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2265]) ).
tcf(c_2294,plain,
( coll(sK3,sK7,sK1)
| ~ coll(sK7,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_2301,plain,
! [X0: $i] :
( perp(sK3,X0,X0,sK1)
| ~ coll(sK7,sK3,sK1)
| ~ circle(sK7,sK3,X0,sK1) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_2302,plain,
( perp(sK3,sK1,sK1,sK1)
| ~ coll(sK7,sK3,sK1)
| ~ circle(sK7,sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2301]) ).
tcf(c_2336,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,sK1,X1)
| ~ midp(sK4,sK0,sK1)
| ~ midp(sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_2337,plain,
( cong(sK4,sK0,sK4,sK1)
| ~ midp(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_2340,plain,
( para(sK0,sK1,sK1,sK1)
| ~ midp(sK4,sK1,sK1)
| ~ midp(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2336]) ).
tcf(c_2354,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK0,X1)
| ~ midp(sK4,sK0,sK1)
| ~ coll(X0,sK0,X1)
| ~ para(sK4,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_2355,plain,
( midp(sK1,sK0,sK1)
| ~ coll(sK1,sK0,sK1)
| ~ midp(sK4,sK0,sK1)
| ~ para(sK4,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2354]) ).
tcf(c_2497,plain,
! [X0: $i,X1: $i] :
( cong(sK4,sK1,X0,X1)
| ~ cong(sK4,sK1,sK4,sK0)
| ~ cong(sK4,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_2503,plain,
! [X0: $i] :
( circle(sK5,sK2,sK1,X0)
| ~ cong(sK5,sK2,sK5,sK1)
| ~ cong(sK5,sK2,sK5,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2504,plain,
( circle(sK5,sK2,sK1,sK1)
| ~ cong(sK5,sK2,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_2503]) ).
tcf(c_2529,plain,
! [X0: $i] :
( circle(sK7,sK3,sK1,X0)
| ~ cong(sK7,sK3,sK7,sK1)
| ~ cong(sK7,sK3,sK7,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_2530,plain,
( circle(sK7,sK3,sK1,sK1)
| ~ cong(sK7,sK3,sK7,sK1) ),
inference(instantiation,[status(thm)],[c_2529]) ).
tcf(c_2658,plain,
( para(sK1,sK1,sK0,sK0)
| ~ midp(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2062]) ).
tcf(c_2717,plain,
coll(sK4,sK1,sK0),
inference(superposition,[status(thm)],[c_53,c_66]) ).
tcf(c_2718,plain,
coll(sK5,sK2,sK1),
inference(superposition,[status(thm)],[c_54,c_66]) ).
tcf(c_2720,plain,
coll(sK7,sK3,sK1),
inference(superposition,[status(thm)],[c_56,c_66]) ).
tcf(c_2770,plain,
midp(sK4,sK0,sK1),
inference(superposition,[status(thm)],[c_53,c_75]) ).
tcf(c_2771,plain,
midp(sK5,sK1,sK2),
inference(superposition,[status(thm)],[c_54,c_75]) ).
tcf(c_2773,plain,
midp(sK7,sK1,sK3),
inference(superposition,[status(thm)],[c_56,c_75]) ).
tcf(c_2774,plain,
midp(sK8,sK3,sK2),
inference(superposition,[status(thm)],[c_57,c_75]) ).
tcf(c_2812,plain,
coll(sK1,sK4,sK0),
inference(superposition,[status(thm)],[c_2717,c_126]) ).
tcf(c_2824,plain,
coll(sK2,sK5,sK1),
inference(superposition,[status(thm)],[c_2718,c_126]) ).
tcf(c_2838,plain,
coll(sK3,sK7,sK1),
inference(superposition,[status(thm)],[c_2720,c_126]) ).
tcf(c_2853,plain,
coll(sK4,sK0,sK1),
inference(superposition,[status(thm)],[c_2770,c_66]) ).
tcf(c_2857,plain,
coll(sK5,sK1,sK2),
inference(superposition,[status(thm)],[c_2771,c_66]) ).
tcf(c_2955,plain,
coll(sK1,sK0,sK4),
inference(superposition,[status(thm)],[c_2812,c_127]) ).
tcf(c_2956,plain,
coll(sK2,sK1,sK5),
inference(superposition,[status(thm)],[c_2824,c_127]) ).
tcf(c_3025,plain,
coll(sK0,sK4,sK1),
inference(superposition,[status(thm)],[c_2853,c_126]) ).
tcf(c_3063,plain,
coll(sK1,sK5,sK2),
inference(superposition,[status(thm)],[c_2857,c_126]) ).
tcf(c_3091,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK1,X0,X1)
| ~ para(sK1,sK1,sK0,sK0)
| ~ para(sK0,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_3093,plain,
( para(sK0,sK0,sK1,sK1)
| ~ para(sK1,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_3097,plain,
( para(sK1,sK1,sK1,sK1)
| ~ para(sK1,sK1,sK0,sK0)
| ~ para(sK0,sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_3091]) ).
tcf(c_3221,plain,
coll(sK1,sK2,sK5),
inference(superposition,[status(thm)],[c_2956,c_126]) ).
tcf(c_3267,plain,
! [X0: $i] :
( coll(sK1,X0,sK4)
| ~ coll(sK4,sK0,sK1)
| ~ coll(sK4,sK0,X0) ),
inference(instantiation,[status(thm)],[c_125]) ).
tcf(c_3271,plain,
( coll(sK1,sK1,sK4)
| ~ coll(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_3267]) ).
tcf(c_3554,plain,
! [X0: $i] :
( coll(sK1,X0,sK5)
| ~ coll(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_2718,c_125]) ).
tcf(c_3562,plain,
! [X0: $i] :
( coll(sK1,X0,sK2)
| ~ coll(sK2,sK5,X0) ),
inference(superposition,[status(thm)],[c_2824,c_125]) ).
tcf(c_3566,plain,
! [X0: $i] :
( coll(sK1,X0,sK3)
| ~ coll(sK3,sK7,X0) ),
inference(superposition,[status(thm)],[c_2838,c_125]) ).
tcf(c_3569,plain,
! [X0: $i] :
( coll(sK4,X0,sK1)
| ~ coll(sK1,sK0,X0) ),
inference(superposition,[status(thm)],[c_2955,c_125]) ).
tcf(c_3574,plain,
! [X0: $i] :
( coll(sK1,X0,sK0)
| ~ coll(sK0,sK4,X0) ),
inference(superposition,[status(thm)],[c_3025,c_125]) ).
tcf(c_3575,plain,
! [X0: $i] :
( coll(sK2,X0,sK1)
| ~ coll(sK1,sK5,X0) ),
inference(superposition,[status(thm)],[c_3063,c_125]) ).
tcf(c_3650,plain,
( coll(sK2,sK1,sK1)
| ~ coll(sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_3575]) ).
tcf(c_3651,plain,
( coll(sK1,sK1,sK0)
| ~ coll(sK0,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_3574]) ).
tcf(c_3654,plain,
( coll(sK4,sK1,sK1)
| ~ coll(sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_3569]) ).
tcf(c_3657,plain,
( coll(sK1,sK1,sK3)
| ~ coll(sK3,sK7,sK1) ),
inference(instantiation,[status(thm)],[c_3566]) ).
tcf(c_3660,plain,
( coll(sK1,sK1,sK2)
| ~ coll(sK2,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_3562]) ).
tcf(c_3927,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK2,X1)
| ~ coll(X0,X1,sK2) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_3928,plain,
( coll(sK1,sK2,sK1)
| ~ coll(sK1,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_3927]) ).
tcf(c_3929,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK0,X1)
| ~ coll(X0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_3930,plain,
( coll(sK1,sK0,sK1)
| ~ coll(sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_3929]) ).
tcf(c_3931,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK3,X1)
| ~ coll(X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_3932,plain,
( coll(sK1,sK3,sK1)
| ~ coll(sK1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_3931]) ).
tcf(c_3941,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK3,X1)
| ~ para(X0,sK3,X0,X1) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_4093,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK3,X1)
| ~ midp(sK7,X0,X1) ),
inference(superposition,[status(thm)],[c_2773,c_70]) ).
tcf(c_4094,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,sK2,X1)
| ~ midp(sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_2774,c_70]) ).
tcf(c_4131,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK0,X1)
| ~ midp(sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_53,c_70]) ).
tcf(c_4132,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_70]) ).
tcf(c_4133,plain,
! [X0: $i,X1: $i] :
( para(sK0,X0,sK2,X1)
| ~ midp(sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_70]) ).
tcf(c_4134,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,sK1,X1)
| ~ midp(sK7,X0,X1) ),
inference(superposition,[status(thm)],[c_56,c_70]) ).
tcf(c_4135,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK3,X1)
| ~ midp(sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_57,c_70]) ).
tcf(c_4241,plain,
! [X0: $i,X1: $i] :
( para(sK4,X0,sK0,X1)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_53,c_74]) ).
tcf(c_4242,plain,
! [X0: $i,X1: $i] :
( para(sK5,X0,sK1,X1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_54,c_74]) ).
tcf(c_4288,plain,
! [X0: $i,X1: $i] :
( para(sK5,X0,sK1,X1)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_54,c_74]) ).
tcf(c_4317,plain,
! [X0: $i,X1: $i] :
( midp(sK4,X0,X1)
| ~ coll(sK4,X0,X1)
| ~ cong(sK4,X0,sK4,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_4318,plain,
( midp(sK4,sK1,sK1)
| ~ coll(sK4,sK1,sK1)
| ~ cong(sK4,sK1,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_4317]) ).
tcf(c_4365,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK2,X1,sK3,X2)
| ~ midp(X0,sK2,sK3)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_4370,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK0,sK2,X1,X2)
| ~ midp(X0,sK2,X2)
| ~ midp(X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_4371,plain,
( para(sK0,sK2,sK1,sK1)
| ~ midp(sK1,sK2,sK1)
| ~ midp(sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_4370]) ).
tcf(c_4386,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK2,X0,sK1,X2)
| ~ midp(sK2,X1,sK1)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_4634,plain,
( midp(sK1,sK2,sK5)
| ~ coll(sK1,sK2,sK5)
| ~ midp(sK5,sK2,sK1)
| ~ para(sK5,sK1,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_2105]) ).
tcf(c_4797,plain,
! [X0: $i] :
( circle(sK4,sK1,X0,sK0)
| ~ cong(sK4,sK1,sK4,sK0)
| ~ cong(sK4,sK1,sK4,X0) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_4798,plain,
( circle(sK4,sK1,sK1,sK0)
| ~ cong(sK4,sK1,sK4,sK1)
| ~ cong(sK4,sK1,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_4797]) ).
tcf(c_4806,plain,
! [X0: $i,X1: $i] :
( para(sK1,X1,sK5,X0)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_4242,c_129]) ).
tcf(c_4811,plain,
( para(sK1,sK1,sK5,sK1)
| ~ midp(sK1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_4806]) ).
tcf(c_5162,plain,
coll(sK1,sK1,sK5),
inference(superposition,[status(thm)],[c_2718,c_3554]) ).
tcf(c_5215,plain,
coll(sK1,sK5,sK1),
inference(superposition,[status(thm)],[c_5162,c_127]) ).
tcf(c_5305,plain,
! [X0: $i] :
( cong(sK4,sK1,sK4,X0)
| ~ cong(sK4,sK1,sK4,sK0)
| ~ cong(sK4,sK0,sK4,X0) ),
inference(instantiation,[status(thm)],[c_2497]) ).
tcf(c_5307,plain,
( cong(sK4,sK1,sK4,sK1)
| ~ cong(sK4,sK1,sK4,sK0)
| ~ cong(sK4,sK0,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_5305]) ).
tcf(c_5496,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK4)
| ~ cong(X0,sK4,X1,sK4)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_5497,plain,
( perp(sK1,sK1,sK1,sK4)
| ~ cong(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK4,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_5496]) ).
tcf(c_5519,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK5)
| ~ cong(X0,sK5,X1,sK5)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_5520,plain,
( perp(sK1,sK1,sK1,sK5)
| ~ cong(sK1,sK1,sK1,sK1)
| ~ cong(sK1,sK5,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_5519]) ).
tcf(c_5718,plain,
! [X0: $i,X1: $i] :
( para(sK1,X1,sK2,X0)
| ~ para(sK2,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_5719,plain,
( para(sK1,sK1,sK2,sK1)
| ~ para(sK2,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_5718]) ).
tcf(c_5909,plain,
! [X0: $i,X1: $i] :
( para(sK1,X1,sK3,X0)
| ~ para(sK3,X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_5910,plain,
( para(sK1,sK1,sK3,sK1)
| ~ para(sK3,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_5909]) ).
tcf(c_6026,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,sK5,X1,sK5)
| ~ midp(sK5,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_6027,plain,
( cong(sK1,sK5,sK1,sK5)
| ~ midp(sK5,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_6026]) ).
tcf(c_6194,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK3,X0,X1)
| ~ para(X0,X1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_6195,plain,
( para(sK1,sK3,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_6194]) ).
tcf(c_6317,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK2,X3,sK1,X2)
| ~ perp(sK2,X3,X0,X1)
| ~ perp(X0,X1,sK1,X2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_6318,plain,
( para(sK2,sK1,sK1,sK1)
| ~ perp(sK2,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_6317]) ).
tcf(c_6321,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK3,X3,sK1,X2)
| ~ perp(sK3,X3,X0,X1)
| ~ perp(X0,X1,sK1,X2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_6322,plain,
( para(sK3,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK3,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_6321]) ).
tcf(c_6333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK1,X3,X2,sK4)
| ~ perp(sK1,X3,X0,X1)
| ~ perp(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_6334,plain,
( para(sK1,sK1,sK1,sK4)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_6333]) ).
tcf(c_6389,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,X1,sK3)
| ~ midp(sK7,X0,X1) ),
inference(superposition,[status(thm)],[c_4093,c_130]) ).
tcf(c_6395,plain,
( para(sK1,sK1,sK1,sK3)
| ~ midp(sK7,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_6389]) ).
tcf(c_6408,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,X3,sK2,X2)
| ~ para(sK0,X3,X0,X1)
| ~ para(X0,X1,sK2,X2) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_6409,plain,
( para(sK0,sK1,sK2,sK1)
| ~ para(sK1,sK1,sK2,sK1)
| ~ para(sK0,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_6408]) ).
tcf(c_6411,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK2,X3,sK3,X2)
| ~ para(sK2,X3,X0,X1)
| ~ para(X0,X1,sK3,X2) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_6412,plain,
( para(sK2,sK1,sK3,sK1)
| ~ para(sK2,sK1,sK1,sK1)
| ~ para(sK1,sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_6411]) ).
tcf(c_6718,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK4,X3,X1,X2)
| ~ midp(X3,sK1,X0)
| ~ para(sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_4241,c_128]) ).
tcf(c_6774,plain,
( para(sK4,sK1,sK1,sK1)
| ~ midp(sK1,sK1,sK1)
| ~ para(sK0,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_6718]) ).
tcf(c_6784,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK1,X3,X1,X2)
| ~ midp(sK4,X3,X0)
| ~ para(sK0,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_4131,c_128]) ).
tcf(c_6786,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK0,X3,X1,X2)
| ~ midp(sK6,X3,X0)
| ~ para(sK2,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_4133,c_128]) ).
tcf(c_6787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK3,X3,X1,X2)
| ~ midp(sK7,X3,X0)
| ~ para(sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_4134,c_128]) ).
tcf(c_6788,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK2,X3,X1,X2)
| ~ midp(sK8,X3,X0)
| ~ para(sK3,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_4135,c_128]) ).
tcf(c_6790,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK5,X3,X1,X2)
| ~ midp(X3,sK2,X0)
| ~ para(sK1,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_4288,c_128]) ).
tcf(c_7216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK1,X3,X2,sK5)
| ~ perp(sK1,X3,X0,X1)
| ~ perp(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_7219,plain,
( para(sK1,sK1,sK1,sK5)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_7216]) ).
tcf(c_7391,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,X1,sK2)
| ~ midp(sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_4094,c_130]) ).
tcf(c_7403,plain,
( para(sK3,sK1,sK1,sK2)
| ~ midp(sK8,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_7391]) ).
tcf(c_7430,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK5,X3,sK1,X2)
| ~ para(sK5,X3,X0,X1)
| ~ para(X0,X1,sK1,X2) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_7437,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK5,X0,sK1,X2)
| ~ midp(sK5,X1,sK1)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_7438,plain,
( para(sK5,sK1,sK1,sK1)
| ~ midp(sK1,sK1,sK1)
| ~ midp(sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_7437]) ).
tcf(c_7611,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK7,X0,sK1,X2)
| ~ midp(sK7,X1,sK1)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_7612,plain,
( para(sK7,sK1,sK1,sK1)
| ~ midp(sK7,sK1,sK1)
| ~ midp(sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_7611]) ).
tcf(c_7666,plain,
! [X0: $i] :
( midp(sK4,sK2,X0)
| ~ midp(sK4,sK1,sK0)
| ~ para(sK1,sK2,sK0,X0)
| ~ para(sK1,X0,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_2123]) ).
tcf(c_7669,plain,
! [X0: $i] :
( para(sK5,sK4,sK1,X0)
| ~ midp(sK5,sK2,sK1)
| ~ midp(sK4,sK2,X0) ),
inference(instantiation,[status(thm)],[c_2074]) ).
tcf(c_7670,plain,
( midp(sK4,sK2,sK1)
| ~ midp(sK4,sK1,sK0)
| ~ para(sK1,sK2,sK0,sK1)
| ~ para(sK1,sK1,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_7666]) ).
tcf(c_7671,plain,
( para(sK5,sK4,sK1,sK1)
| ~ midp(sK4,sK2,sK1)
| ~ midp(sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_7669]) ).
tcf(c_7896,plain,
eqangle(sK3,sK1,sK1,sK0,sK3,sK1,sK1,sK2),
inference(superposition,[status(thm)],[c_51,c_101]) ).
tcf(c_8018,plain,
eqangle(sK0,sK1,sK3,sK0,sK0,sK2,sK3,sK0),
inference(superposition,[status(thm)],[c_50,c_102]) ).
tcf(c_8019,plain,
eqangle(sK1,sK2,sK3,sK1,sK1,sK0,sK3,sK1),
inference(superposition,[status(thm)],[c_51,c_102]) ).
tcf(c_8350,plain,
( para(sK3,sK1,sK1,sK0)
| ~ para(sK3,sK1,sK1,sK2) ),
inference(superposition,[status(thm)],[c_7896,c_92]) ).
tcf(c_8516,plain,
para(sK0,sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_8018,c_98]) ).
tcf(c_8563,plain,
para(sK1,sK2,sK1,sK0),
inference(superposition,[status(thm)],[c_8019,c_98]) ).
tcf(c_8699,plain,
para(sK0,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_8516,c_130]) ).
tcf(c_8701,plain,
coll(sK0,sK1,sK2),
inference(superposition,[status(thm)],[c_8516,c_124]) ).
tcf(c_8757,plain,
para(sK1,sK2,sK0,sK1),
inference(superposition,[status(thm)],[c_8563,c_130]) ).
tcf(c_8758,plain,
para(sK1,sK0,sK1,sK2),
inference(superposition,[status(thm)],[c_8563,c_129]) ).
tcf(c_8869,plain,
eqangle(sK1,sK3,sK1,sK2,sK3,sK1,sK1,sK0),
inference(superposition,[status(thm)],[c_51,c_103]) ).
tcf(c_9780,plain,
( para(sK1,sK3,sK1,sK2)
| ~ para(sK3,sK1,sK1,sK0) ),
inference(superposition,[status(thm)],[c_8869,c_92]) ).
tcf(c_10747,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK3)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK3,X2,X1)
| ~ para(X0,X1,X2,sK3) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_10748,plain,
( midp(sK1,sK1,sK3)
| ~ midp(sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK3)
| ~ para(sK1,sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_10747]) ).
tcf(c_10775,plain,
! [X0: $i] :
( midp(sK8,X0,sK3)
| ~ midp(sK8,sK2,sK3)
| ~ para(sK2,sK3,sK3,X0)
| ~ para(sK2,X0,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_2131]) ).
tcf(c_10777,plain,
( midp(sK8,sK1,sK3)
| ~ midp(sK8,sK2,sK3)
| ~ para(sK2,sK1,sK3,sK3)
| ~ para(sK2,sK3,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_10775]) ).
tcf(c_11018,plain,
! [X0: $i] :
( coll(X0,sK2,sK3)
| ~ coll(X0,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_3927]) ).
tcf(c_11019,plain,
( coll(sK1,sK2,sK3)
| ~ coll(sK1,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_11018]) ).
tcf(c_11121,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK0,sK2)
| ~ para(sK0,sK2,X0,X1) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_11122,plain,
( para(sK1,sK1,sK0,sK2)
| ~ para(sK0,sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_11121]) ).
tcf(c_12511,plain,
! [X0: $i] :
( midp(X0,sK2,sK3)
| ~ midp(sK5,sK2,sK1)
| ~ coll(X0,sK2,sK3)
| ~ para(sK5,X0,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_2105]) ).
tcf(c_12512,plain,
( midp(sK1,sK2,sK3)
| ~ coll(sK1,sK2,sK3)
| ~ midp(sK5,sK2,sK1)
| ~ para(sK5,sK1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_12511]) ).
tcf(c_12553,plain,
! [X0: $i] :
( midp(sK1,X0,sK0)
| ~ coll(sK1,X0,sK0)
| ~ midp(sK0,X0,sK2) ),
inference(superposition,[status(thm)],[c_8699,c_73]) ).
tcf(c_12563,plain,
( midp(sK1,sK1,sK0)
| ~ coll(sK1,sK1,sK0)
| ~ midp(sK0,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_12553]) ).
tcf(c_14564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK6,sK5,sK5,sK9,sK9,sK5,sK5,sK4)
| ~ eqangle(sK6,sK5,sK5,sK9,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK9,sK5,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_14637,plain,
! [X0: $i] :
( midp(sK2,X0,sK1)
| ~ coll(sK2,X0,sK1)
| ~ midp(sK1,X0,sK0) ),
inference(superposition,[status(thm)],[c_8757,c_73]) ).
tcf(c_14650,plain,
( midp(sK2,sK1,sK1)
| ~ coll(sK2,sK1,sK1)
| ~ midp(sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_14637]) ).
tcf(c_14666,plain,
! [X0: $i] :
( midp(sK0,X0,sK2)
| ~ coll(sK0,X0,sK2)
| ~ midp(sK1,X0,sK1) ),
inference(superposition,[status(thm)],[c_8758,c_73]) ).
tcf(c_14681,plain,
( midp(sK0,sK1,sK2)
| ~ coll(sK0,sK1,sK2)
| ~ midp(sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_14666]) ).
tcf(c_14788,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK5,sK5)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK5,X1,sK5) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_14789,plain,
( midp(sK1,sK5,sK5)
| ~ midp(sK1,sK1,sK1)
| ~ para(sK1,sK5,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_14788]) ).
tcf(c_15861,plain,
! [X0: $i,X1: $i] :
( eqangle(sK6,sK5,sK5,sK9,sK9,sK5,sK5,sK4)
| ~ eqangle(sK6,sK5,sK5,sK9,X0,X1,sK5,sK4)
| ~ eqangle(X0,X1,sK5,sK4,sK9,sK5,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_14564]) ).
tcf(c_15862,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK5,sK4,sK9,sK5,sK5,sK4)
| ~ para(X0,X1,sK9,sK5) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_15863,plain,
( eqangle(sK6,sK5,sK5,sK9,sK9,sK5,sK5,sK4)
| ~ eqangle(sK1,sK1,sK5,sK4,sK9,sK5,sK5,sK4)
| ~ eqangle(sK6,sK5,sK5,sK9,sK1,sK1,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_15861]) ).
tcf(c_15864,plain,
( eqangle(sK1,sK1,sK5,sK4,sK9,sK5,sK5,sK4)
| ~ para(sK1,sK1,sK9,sK5) ),
inference(instantiation,[status(thm)],[c_15862]) ).
tcf(c_16659,plain,
! [X0: $i] :
( coll(X0,sK3,sK2)
| ~ para(X0,sK3,X0,sK2) ),
inference(instantiation,[status(thm)],[c_3941]) ).
tcf(c_16660,plain,
( coll(sK1,sK3,sK2)
| ~ para(sK1,sK3,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_16659]) ).
tcf(c_22182,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK9,sK5)
| ~ perp(X2,X3,sK9,sK5)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_22185,plain,
( para(sK1,sK1,sK9,sK5)
| ~ perp(sK1,sK1,sK1,sK1)
| ~ perp(sK1,sK1,sK9,sK5) ),
inference(instantiation,[status(thm)],[c_22182]) ).
tcf(c_22361,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK3,sK3,X1)
| ~ midp(X0,sK2,sK3)
| ~ midp(X0,sK3,X1) ),
inference(instantiation,[status(thm)],[c_4365]) ).
tcf(c_22362,plain,
( para(sK2,sK3,sK3,sK1)
| ~ midp(sK1,sK2,sK3)
| ~ midp(sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_22361]) ).
tcf(c_22369,plain,
! [X0: $i,X1: $i] :
( para(sK2,X1,sK3,sK3)
| ~ midp(X0,sK2,sK3)
| ~ midp(X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_4365]) ).
tcf(c_22370,plain,
( para(sK2,sK1,sK3,sK3)
| ~ midp(sK1,sK2,sK3)
| ~ midp(sK1,sK1,sK3) ),
inference(instantiation,[status(thm)],[c_22369]) ).
tcf(c_23599,plain,
! [X0: $i,X1: $i] :
( para(sK5,X0,sK1,sK3)
| ~ midp(sK5,X1,sK1)
| ~ midp(X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_7437]) ).
tcf(c_23600,plain,
( para(sK5,sK1,sK1,sK3)
| ~ midp(sK1,sK1,sK3)
| ~ midp(sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_23599]) ).
tcf(c_25450,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK5,X1)
| ~ midp(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_25451,plain,
( midp(sK1,sK5,sK1)
| ~ midp(sK1,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_25450]) ).
tcf(c_27381,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK5,sK1,X1)
| ~ midp(sK2,X0,sK1)
| ~ midp(sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_4386]) ).
tcf(c_27382,plain,
( para(sK2,sK5,sK1,sK1)
| ~ midp(sK2,sK1,sK1)
| ~ midp(sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_27381]) ).
tcf(c_38206,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK1,X2,sK2,X1)
| ~ midp(sK4,X2,X0)
| ~ midp(sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_4133,c_6784]) ).
tcf(c_38496,plain,
! [X0: $i] :
( para(sK1,X0,sK2,sK2)
| ~ midp(sK4,X0,sK0) ),
inference(superposition,[status(thm)],[c_55,c_38206]) ).
tcf(c_38655,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK1,sK1,sK5)
| ~ para(sK5,sK1,X0,X1)
| ~ para(X0,X1,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_7430]) ).
tcf(c_38656,plain,
( para(sK5,sK1,sK1,sK5)
| ~ para(sK1,sK1,sK1,sK5)
| ~ para(sK5,sK1,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_38655]) ).
tcf(c_41795,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK0,X0,sK1,X2)
| ~ midp(sK5,X1,X2)
| ~ midp(sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_4132,c_6786]) ).
tcf(c_42563,plain,
! [X0: $i] :
( para(sK0,sK0,sK1,X0)
| ~ midp(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_55,c_41795]) ).
tcf(c_42579,plain,
! [X0: $i] :
( para(sK1,X0,sK0,sK0)
| ~ midp(sK5,sK2,X0) ),
inference(superposition,[status(thm)],[c_42563,c_129]) ).
tcf(c_46138,plain,
! [X0: $i,X1: $i] :
( para(sK3,X0,sK2,sK2)
| ~ midp(sK4,X1,sK0)
| ~ midp(sK7,X0,X1) ),
inference(superposition,[status(thm)],[c_38496,c_6787]) ).
tcf(c_47413,plain,
( para(sK3,sK3,sK2,sK2)
| ~ midp(sK4,sK1,sK0) ),
inference(superposition,[status(thm)],[c_56,c_46138]) ).
tcf(c_47417,plain,
para(sK3,sK3,sK2,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_47413,c_53]) ).
tcf(c_47420,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK3,X0,X1)
| ~ para(sK2,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_47417,c_128]) ).
tcf(c_49342,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK2,X2,sK1,X1)
| ~ midp(sK8,X2,X0)
| ~ midp(sK7,X0,X1) ),
inference(superposition,[status(thm)],[c_4134,c_6788]) ).
tcf(c_50090,plain,
! [X0: $i] :
( para(sK2,X0,sK1,sK1)
| ~ midp(sK8,X0,sK3) ),
inference(superposition,[status(thm)],[c_56,c_49342]) ).
tcf(c_50633,plain,
( para(sK3,sK3,sK1,sK1)
| ~ midp(sK8,sK2,sK3) ),
inference(superposition,[status(thm)],[c_50090,c_47420]) ).
tcf(c_50635,plain,
para(sK3,sK3,sK1,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_50633,c_57]) ).
tcf(c_50841,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK3,X0,X1)
| ~ para(sK1,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_50635,c_128]) ).
tcf(c_51315,plain,
( para(sK3,sK3,sK0,sK0)
| ~ midp(sK5,sK2,sK1) ),
inference(superposition,[status(thm)],[c_42579,c_50841]) ).
tcf(c_51316,plain,
para(sK3,sK3,sK0,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_51315,c_54]) ).
tcf(c_51480,plain,
! [X0: $i,X1: $i] :
( para(sK3,sK3,X0,X1)
| ~ para(sK0,sK0,X0,X1) ),
inference(superposition,[status(thm)],[c_51316,c_128]) ).
tcf(c_53018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK4)
| ~ coll(X1,X3,sK4)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK4) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_53019,plain,
( midp(sK1,sK1,sK4)
| ~ coll(sK1,sK1,sK4)
| ~ midp(sK1,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK4) ),
inference(instantiation,[status(thm)],[c_53018]) ).
tcf(c_61561,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK5,X0,sK0,X2)
| ~ midp(sK4,X1,X2)
| ~ midp(X0,sK2,X1) ),
inference(superposition,[status(thm)],[c_4131,c_6790]) ).
tcf(c_62494,plain,
! [X0: $i] :
( para(sK5,sK5,sK0,X0)
| ~ midp(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_54,c_61561]) ).
tcf(c_62638,plain,
! [X0: $i] :
( para(sK0,X0,sK5,sK5)
| ~ midp(sK4,sK1,X0) ),
inference(superposition,[status(thm)],[c_62494,c_129]) ).
tcf(c_64656,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK5,sK5,sK1)
| ~ para(sK2,sK5,X0,X1)
| ~ para(X0,X1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_64661,plain,
( para(sK2,sK5,sK5,sK1)
| ~ para(sK2,sK5,sK1,sK1)
| ~ para(sK1,sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_64656]) ).
tcf(c_65052,plain,
( para(sK3,sK3,sK5,sK5)
| ~ midp(sK4,sK1,sK0) ),
inference(superposition,[status(thm)],[c_62638,c_51480]) ).
tcf(c_65055,plain,
para(sK3,sK3,sK5,sK5),
inference(forward_subsumption_resolution,[status(thm)],[c_65052,c_53]) ).
tcf(c_65262,plain,
! [X0: $i] :
( para(sK2,X0,sK5,sK5)
| ~ midp(sK8,X0,sK3) ),
inference(superposition,[status(thm)],[c_65055,c_6788]) ).
tcf(c_65637,plain,
! [X0: $i,X1: $i] :
( midp(X1,X0,sK5)
| ~ midp(sK8,X0,sK3)
| ~ midp(X1,sK2,sK5)
| ~ para(sK2,sK5,sK5,X0) ),
inference(superposition,[status(thm)],[c_65262,c_69]) ).
tcf(c_65664,plain,
( midp(sK1,sK1,sK5)
| ~ midp(sK8,sK1,sK3)
| ~ midp(sK1,sK2,sK5)
| ~ para(sK2,sK5,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_65637]) ).
tcf(c_66333,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,X3,sK5,sK9,sK5,sK4)
| ~ eqangle(X4,X5,X6,X7,sK5,sK9,sK5,sK4)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_66336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK5,sK9,sK5,sK4)
| ~ eqangle(X0,X1,X2,X3,sK5,sK4,sK5,sK9) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_66337,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X1,X0,X2,X3,sK5,sK9,sK5,sK4)
| ~ eqangle(X0,X1,X2,X3,sK5,sK9,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_66589,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK5,sK9)
| ~ eqangle(X0,X1,X2,X3,sK5,sK9,X2,X3) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_66793,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK5,sK4)
| ~ para(X2,X3,sK5,sK4)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_66806,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,X2,sK5,sK4)
| ~ midp(X0,X2,sK4)
| ~ midp(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_66807,plain,
( para(sK1,sK1,sK5,sK4)
| ~ midp(sK1,sK1,sK4)
| ~ midp(sK1,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_66806]) ).
tcf(c_66851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,X1,sK9)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK9,X2,X1)
| ~ para(X0,X1,X2,sK9) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_66877,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK9,sK5,X2,X3)
| ~ para(X0,X1,sK9,sK5) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_66878,plain,
( eqangle(sK1,sK1,sK1,sK1,sK9,sK5,sK1,sK1)
| ~ para(sK1,sK1,sK9,sK5) ),
inference(instantiation,[status(thm)],[c_66877]) ).
tcf(c_66954,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK5,sK9,sK5,sK4,sK5,sK9)
| ~ para(X0,X1,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_66956,plain,
( eqangle(sK1,sK1,sK5,sK9,sK5,sK4,sK5,sK9)
| ~ para(sK1,sK1,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_66954]) ).
tcf(c_67088,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK9,sK5)
| ~ cong(X0,sK9,X1,sK9)
| ~ cong(X0,sK5,X1,sK5) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_67089,plain,
( perp(sK1,sK1,sK9,sK5)
| ~ cong(sK1,sK9,sK1,sK9)
| ~ cong(sK1,sK5,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_67088]) ).
tcf(c_67127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,sK5,sK9,X6,X7,sK5,sK4)
| ~ eqangle(X2,X3,X4,X5,X6,X7,sK5,sK4)
| ~ eqangle(X0,X1,sK5,sK9,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_67129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,sK5,sK9,X2,X3,sK5,sK4)
| ~ eqangle(X0,X1,X2,X3,sK5,sK9,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_67130,plain,
( eqangle(sK1,sK1,sK5,sK9,sK1,sK1,sK5,sK4)
| ~ eqangle(sK1,sK1,sK1,sK1,sK5,sK9,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_67129]) ).
tcf(c_67172,plain,
! [X0: $i] :
( eqangle(X0,sK9,X0,sK4,sK5,sK9,sK5,sK4)
| ~ eqangle(X0,sK4,X0,sK9,sK5,sK4,sK5,sK9) ),
inference(instantiation,[status(thm)],[c_66336]) ).
tcf(c_67207,plain,
! [X0: $i,X1: $i] :
( eqangle(sK6,sK5,sK5,sK9,X0,X1,sK5,sK9)
| ~ para(sK6,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_67209,plain,
( eqangle(sK6,sK5,sK5,sK9,sK1,sK1,sK5,sK9)
| ~ para(sK6,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_67207]) ).
tcf(c_68231,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK6,sK5,X1,X2)
| ~ midp(sK5,X0,X2)
| ~ midp(sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_68232,plain,
( para(sK6,sK5,sK1,sK1)
| ~ midp(sK5,sK1,sK1)
| ~ midp(sK6,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_68231]) ).
tcf(c_68419,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK9,X0,X1,sK5,sK9,sK5,sK4)
| ~ eqangle(X0,X1,sK5,sK9,sK5,sK4,sK5,sK9) ),
inference(instantiation,[status(thm)],[c_66336]) ).
tcf(c_68421,plain,
( eqangle(sK5,sK9,sK1,sK1,sK5,sK9,sK5,sK4)
| ~ eqangle(sK1,sK1,sK5,sK9,sK5,sK4,sK5,sK9) ),
inference(instantiation,[status(thm)],[c_68419]) ).
tcf(c_68555,plain,
( eqangle(sK5,sK9,sK5,sK4,sK5,sK9,sK5,sK4)
| ~ eqangle(sK5,sK4,sK5,sK9,sK5,sK4,sK5,sK9) ),
inference(instantiation,[status(thm)],[c_67172]) ).
tcf(c_68556,plain,
( eqangle(sK5,sK4,sK5,sK9,sK5,sK4,sK5,sK9)
| ~ para(sK5,sK4,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_66954]) ).
tcf(c_68963,plain,
! [X0: $i] :
( para(sK5,sK9,sK5,sK9)
| ~ eqangle(sK5,sK9,sK5,X0,sK5,sK9,sK5,X0) ),
inference(instantiation,[status(thm)],[c_66589]) ).
tcf(c_69121,plain,
! [X0: $i] :
( cong(X0,sK9,X0,sK9)
| ~ midp(X0,sK9,sK9) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_69122,plain,
( cong(sK1,sK9,sK1,sK9)
| ~ midp(sK1,sK9,sK9) ),
inference(instantiation,[status(thm)],[c_69121]) ).
tcf(c_70715,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X1,sK5,X2,X3)
| ~ midp(X0,sK5,X3)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_70716,plain,
( para(sK1,sK5,sK1,sK1)
| ~ midp(sK1,sK1,sK1)
| ~ midp(sK1,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_70715]) ).
tcf(c_70717,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK5,X2,X3)
| ~ midp(sK5,X1,X3)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_71612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK6,sK5,sK5,sK9,X2,X3,sK5,sK4)
| ~ eqangle(sK6,sK5,sK5,sK9,X0,X1,sK5,sK9)
| ~ eqangle(X0,X1,sK5,sK9,X2,X3,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_67127]) ).
tcf(c_71613,plain,
( eqangle(sK6,sK5,sK5,sK9,sK1,sK1,sK5,sK4)
| ~ eqangle(sK1,sK1,sK5,sK9,sK1,sK1,sK5,sK4)
| ~ eqangle(sK6,sK5,sK5,sK9,sK1,sK1,sK5,sK9) ),
inference(instantiation,[status(thm)],[c_71612]) ).
tcf(c_71925,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK4,sK5,sK4)
| ~ para(sK5,sK4,X0,X1)
| ~ para(X0,X1,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_66793]) ).
tcf(c_71930,plain,
( para(sK5,sK4,sK5,sK4)
| ~ para(sK1,sK1,sK5,sK4)
| ~ para(sK5,sK4,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_71925]) ).
tcf(c_72460,plain,
! [X0: $i,X1: $i] :
( eqangle(sK9,sK5,X0,X1,sK5,sK9,sK5,sK4)
| ~ eqangle(sK5,sK9,X0,X1,sK5,sK9,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_66337]) ).
tcf(c_72465,plain,
( eqangle(sK9,sK5,sK1,sK1,sK5,sK9,sK5,sK4)
| ~ eqangle(sK5,sK9,sK1,sK1,sK5,sK9,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_72460]) ).
tcf(c_74681,plain,
( para(sK5,sK9,sK5,sK9)
| ~ eqangle(sK5,sK9,sK5,sK4,sK5,sK9,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_68963]) ).
tcf(c_74766,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK5,X1,sK5)
| ~ midp(sK5,X0,X2)
| ~ para(X0,sK5,X2,X1)
| ~ para(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_74767,plain,
( midp(sK5,sK1,sK5)
| ~ midp(sK5,sK1,sK1)
| ~ para(sK1,sK1,sK1,sK5)
| ~ para(sK1,sK5,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_74766]) ).
tcf(c_78524,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,sK5,sK9,sK5,sK4)
| ~ eqangle(sK9,sK5,X4,X5,sK5,sK9,sK5,sK4)
| ~ eqangle(X0,X1,X2,X3,sK9,sK5,X4,X5) ),
inference(instantiation,[status(thm)],[c_66333]) ).
tcf(c_78525,plain,
( eqangle(sK1,sK1,sK1,sK1,sK5,sK9,sK5,sK4)
| ~ eqangle(sK1,sK1,sK1,sK1,sK9,sK5,sK1,sK1)
| ~ eqangle(sK9,sK5,sK1,sK1,sK5,sK9,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_78524]) ).
tcf(c_79555,plain,
! [X0: $i] :
( midp(X0,sK9,sK9)
| ~ midp(X0,sK5,sK5)
| ~ para(sK5,sK9,sK5,sK9) ),
inference(instantiation,[status(thm)],[c_66851]) ).
tcf(c_79557,plain,
( midp(sK1,sK9,sK9)
| ~ midp(sK1,sK5,sK5)
| ~ para(sK5,sK9,sK5,sK9) ),
inference(instantiation,[status(thm)],[c_79555]) ).
tcf(c_84664,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK5,X2,sK5)
| ~ midp(sK5,X1,sK5)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_70717]) ).
tcf(c_84665,plain,
( para(sK1,sK5,sK1,sK5)
| ~ midp(sK1,sK1,sK1)
| ~ midp(sK5,sK1,sK5) ),
inference(instantiation,[status(thm)],[c_84664]) ).
tcf(c_84666,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_84665,c_79557,c_78525,c_74767,c_74681,c_72465,c_71930,c_71613,c_70716,c_69122,c_68556,c_68555,c_68421,c_68232,c_67209,c_67130,c_67089,c_66956,c_66878,c_66807,c_65664,c_64661,c_53019,c_38656,c_27382,c_25451,c_23600,c_22370,c_22362,c_22185,c_16660,c_15864,c_15863,c_14789,c_14681,c_14650,c_12563,c_12512,c_11122,c_11019,c_10777,c_10748,c_9780,c_8757,c_8701,c_8350,c_7671,c_7670,c_7612,c_7438,c_7403,c_7219,c_6774,c_6412,c_6409,c_6395,c_6334,c_6322,c_6318,c_6195,c_6027,c_5910,c_5719,c_5520,c_5497,c_5307,c_5215,c_4811,c_4798,c_4634,c_4371,c_4318,c_3932,c_3930,c_3928,c_3660,c_3657,c_3654,c_3651,c_3650,c_3271,c_3221,c_3097,c_3093,c_3025,c_2658,c_2530,c_2504,c_2355,c_2340,c_2337,c_2302,c_2294,c_2266,c_2258,c_2248,c_2239,c_2132,c_2130,c_2128,c_2126,c_2110,c_2106,c_2093,c_2060,c_2058,c_2057,c_2052,c_2050,c_2048,c_2047,c_198,c_164,c_159,c_156,c_152,c_148,c_49,c_53,c_54,c_55,c_56,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO625+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.37 % Computer : n020.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Wed Sep 23 12:36:18 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 0.13/0.43
% 0.13/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.43
% 0.13/0.43 % Detected problem language: tptp
% 0.13/0.44 % Proving...
% 54.12/8.49 % SZS status Started for theBenchmark.p
% 54.12/8.49 % SZS status Theorem for theBenchmark.p
% 54.12/8.49
% 54.12/8.49 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 54.12/8.49
% 54.12/8.49 % ------ iProver source info
% 54.12/8.49
% 54.12/8.49 % git: date: 2026-07-19 20:42:38 +0200
% 54.12/8.49 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 54.12/8.49 % git: non_committed_changes: false
% 54.12/8.49
% 54.12/8.49 % ------ Parsing...
% 54.12/8.49 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 54.12/8.49
% 54.12/8.49 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 54.12/8.49
% 54.12/8.49 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 54.12/8.49 % ------ Proving...
% 54.12/8.49 % ------ Problem Properties
% 54.12/8.49
% 54.12/8.49 %
% 54.12/8.49 % clauses 97
% 54.12/8.49 % conjectures 10
% 54.12/8.49 % EPR 64
% 54.12/8.49 % Horn 92
% 54.12/8.49 % unary 10
% 54.12/8.49 % binary 24
% 54.12/8.49 % lits 266
% 54.12/8.49 % lits eq 0
% 54.12/8.49 % fd_pure 0
% 54.12/8.49 % fd_pseudo 0
% 54.12/8.49 % fd_cond 0
% 54.12/8.49 % fd_pseudo_cond 0
% 54.12/8.49 % AC symbols 0
% 54.12/8.49
% 54.12/8.49 % ------ Schedule dynamic 5 is on
% 54.12/8.49
% 54.12/8.49 % ------ no equalities: superposition off
% 54.12/8.49
% 54.12/8.49 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 54.12/8.49
% 54.12/8.49
% 54.12/8.49 % ------
% 54.12/8.49 % Current options:
% 54.12/8.49 % ------
% 54.12/8.49
% 54.12/8.49
% 54.12/8.49 %
% 54.12/8.49
% 54.12/8.49 % ------ Proving...
% 54.12/8.49 %
% 54.12/8.49
% 54.12/8.49 % SZS status Theorem for theBenchmark.p
% 54.12/8.49
% 54.12/8.49 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.12/8.49
% 54.12/8.49
%------------------------------------------------------------------------------