%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO614+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n008.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 01:21:38 PM UTC 2026
% Result : Theorem 50.51s 9.98s
% Output : CNFRefutation 50.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 33
% Syntax : Number of formulae : 362 ( 33 unt; 0 def)
% Number of atoms : 947 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 1070 ( 485 ~; 479 |; 72 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-6 aty)
% Number of variables : 935 ( 0 sgn 912 !; 23 ?; 349 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X5,X6,X6,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618076) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X5,X6,X6,X8) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2)
& ~ perp(X5,X6,X6,X8) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2)
& ~ perp(X5,X6,X6,X8) ),
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(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f136]) ).
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,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f157,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(f158,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,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f159]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f169]) ).
fof(f179,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(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f179]) ).
fof(f183,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(f184,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(f187,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f190,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(f191,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f190]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f196,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(f198,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(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(sK8,sK6,sK4,sK7)
& coll(sK7,sK3,sK4)
& perp(sK7,sK0,sK3,sK4)
& coll(sK6,sK0,sK1)
& perp(sK6,sK5,sK0,sK1)
& circle(sK3,sK0,sK5,sK9)
& coll(sK5,sK3,sK4)
& midp(sK4,sK2,sK1)
& circle(sK3,sK0,sK1,sK2)
& ~ perp(sK5,sK6,sK6,sK8) ),
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(f234,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(sK23(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK23(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK23(X0,X1,X2,X3,X4,X5),X0,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X6,sK23(X0,X1,X2,X3,X4,X5))],[f155]) ).
fof(f242,plain,
coll(sK6,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
perp(sK6,sK5,sK0,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f246,plain,
midp(sK4,sK2,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f248,plain,
~ perp(sK5,sK6,sK6,sK8),
inference(cnf_transformation,[],[f220]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f274,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(f275,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f282,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f285,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(f286,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f288,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(f289,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(f290,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f291,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK23(X0,X1,X2,X3,X4,X5),X0,X3) ),
inference(cnf_transformation,[],[f234]) ).
fof(f295,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f296,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,[],[f158]) ).
fof(f297,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f303,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f183]) ).
fof(f311,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f184]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f316,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,[],[f191]) ).
fof(f317,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f318,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f320,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,[],[f196]) ).
fof(f322,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,[],[f198]) ).
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,
~ perp(sK5,sK6,sK6,sK8),
inference(cnf_transformation,[],[f248]) ).
tcf(c_51,negated_conjecture,
midp(sK4,sK2,sK1),
inference(cnf_transformation,[],[f246]) ).
tcf(c_54,negated_conjecture,
perp(sK6,sK5,sK0,sK1),
inference(cnf_transformation,[],[f243]) ).
tcf(c_55,negated_conjecture,
coll(sK6,sK0,sK1),
inference(cnf_transformation,[],[f242]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_84,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,[],[f274]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_95,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,[],[f285]) ).
tcf(c_96,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,[],[f286]) ).
tcf(c_97,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,[],[f287]) ).
tcf(c_98,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,[],[f288]) ).
tcf(c_99,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,[],[f289]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( midp(sK23(X1,X2,X4,X5,X0,X3),X1,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_106,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,[],[f296]) ).
tcf(c_107,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,[],[f297]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_113,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,[],[f303]) ).
tcf(c_118,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,[],[f308]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_121,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,[],[f311]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_126,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,[],[f316]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f317]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f318]) ).
tcf(c_130,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,[],[f320]) ).
tcf(c_132,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,[],[f322]) ).
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_153,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_156,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_160,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_198,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_2273,plain,
( coll(sK0,sK6,sK1)
| ~ coll(sK6,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_2276,plain,
( coll(sK6,sK1,sK0)
| ~ coll(sK6,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_2278,plain,
( midp(sK4,sK1,sK2)
| ~ midp(sK4,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_2280,plain,
( perp(sK0,sK1,sK6,sK5)
| ~ perp(sK6,sK5,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_2282,plain,
( perp(sK6,sK5,sK1,sK0)
| ~ perp(sK6,sK5,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_2447,plain,
! [X0: $i] :
( coll(sK1,X0,sK0)
| ~ coll(sK0,sK6,sK1)
| ~ coll(sK0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2450,plain,
( coll(sK1,sK0,sK0)
| ~ coll(sK0,sK6,sK1)
| ~ coll(sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_2447]) ).
tcf(c_2504,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK1,sK0)
| ~ coll(sK6,sK1,X0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2507,plain,
( coll(sK0,sK0,sK6)
| ~ coll(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2504]) ).
tcf(c_2540,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK23(sK1,sK2,X1,X2,sK4,X0),sK1,X2)
| ~ midp(sK4,sK1,sK2)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2583,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ perp(sK0,sK1,sK6,sK5)
| ~ perp(sK6,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_2925,plain,
coll(sK0,sK6,sK1),
inference(superposition,[status(thm)],[c_55,c_86]) ).
tcf(c_2967,plain,
coll(sK6,sK1,sK0),
inference(superposition,[status(thm)],[c_55,c_87]) ).
tcf(c_3048,plain,
coll(sK0,sK1,sK6),
inference(superposition,[status(thm)],[c_2925,c_87]) ).
tcf(c_3231,plain,
perp(sK0,sK1,sK6,sK5),
inference(superposition,[status(thm)],[c_54,c_100]) ).
tcf(c_3237,plain,
perp(sK0,sK1,sK6,sK5),
inference(superposition,[status(thm)],[c_54,c_100]) ).
tcf(c_3329,plain,
perp(sK0,sK1,sK5,sK6),
inference(superposition,[status(thm)],[c_3231,c_101]) ).
tcf(c_3337,plain,
perp(sK0,sK1,sK5,sK6),
inference(superposition,[status(thm)],[c_3237,c_101]) ).
tcf(c_3672,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK1,X0) ),
inference(superposition,[status(thm)],[c_2967,c_85]) ).
tcf(c_3678,plain,
! [X0: $i] :
( coll(sK6,X0,sK0)
| ~ coll(sK0,sK1,X0) ),
inference(superposition,[status(thm)],[c_3048,c_85]) ).
tcf(c_3744,plain,
( coll(sK6,sK0,sK0)
| ~ coll(sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_3678]) ).
tcf(c_4205,plain,
! [X0: $i] :
( coll(sK0,sK6,X0)
| ~ coll(sK0,X0,sK6) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_4207,plain,
( coll(sK0,sK6,sK0)
| ~ coll(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_4205]) ).
tcf(c_4305,plain,
( para(sK0,sK1,sK1,sK0)
| ~ perp(sK0,sK1,sK6,sK5)
| ~ perp(sK6,sK5,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2583]) ).
tcf(c_4377,plain,
( midp(sK23(sK1,sK2,sK2,sK1,sK4,sK4),sK1,sK1)
| ~ midp(sK4,sK2,sK1)
| ~ midp(sK4,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_2540]) ).
tcf(c_4770,plain,
! [X0: $i,X1: $i] :
( midp(sK23(sK1,sK2,sK2,sK1,sK4,sK4),X0,X1)
| ~ para(sK1,X1,sK1,X0)
| ~ para(sK1,X0,sK1,X1)
| ~ midp(sK23(sK1,sK2,sK2,sK1,sK4,sK4),sK1,sK1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_4771,plain,
( midp(sK23(sK1,sK2,sK2,sK1,sK4,sK4),sK0,sK0)
| ~ para(sK1,sK0,sK1,sK0)
| ~ midp(sK23(sK1,sK2,sK2,sK1,sK4,sK4),sK1,sK1) ),
inference(instantiation,[status(thm)],[c_4770]) ).
tcf(c_4779,plain,
coll(sK0,sK0,sK6),
inference(superposition,[status(thm)],[c_2967,c_3672]) ).
tcf(c_4965,plain,
coll(sK0,sK6,sK0),
inference(superposition,[status(thm)],[c_4779,c_87]) ).
tcf(c_5962,plain,
( para(sK1,sK0,sK0,sK1)
| ~ para(sK0,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_6577,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK5,X0,X1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_99]) ).
tcf(c_6680,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK5,X0,X1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_99]) ).
tcf(c_7018,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK1,X1)
| ~ coll(sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_7019,plain,
( coll(sK0,sK1,sK0)
| ~ coll(sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_7018]) ).
tcf(c_7227,plain,
! [X0: $i,X1: $i] :
( coll(sK6,sK6,X0)
| ~ coll(X0,X1,sK6) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_7228,plain,
( coll(sK6,sK6,sK0)
| ~ coll(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_7227]) ).
tcf(c_7267,plain,
! [X0: $i] :
( coll(sK0,X0,sK0)
| ~ coll(sK0,sK6,X0) ),
inference(superposition,[status(thm)],[c_4965,c_85]) ).
tcf(c_7273,plain,
( coll(sK0,sK0,sK0)
| ~ coll(sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_7267]) ).
tcf(c_7469,plain,
para(sK6,sK5,sK6,sK5),
inference(superposition,[status(thm)],[c_3231,c_6577]) ).
tcf(c_7470,plain,
para(sK6,sK5,sK5,sK6),
inference(superposition,[status(thm)],[c_3329,c_6577]) ).
tcf(c_7487,plain,
para(sK6,sK5,sK5,sK6),
inference(superposition,[status(thm)],[c_3337,c_6680]) ).
tcf(c_7725,plain,
coll(sK6,sK5,sK5),
inference(superposition,[status(thm)],[c_7469,c_82]) ).
tcf(c_7755,plain,
para(sK5,sK6,sK6,sK5),
inference(superposition,[status(thm)],[c_7487,c_123]) ).
tcf(c_11559,plain,
! [X0: $i] :
( midp(sK5,X0,sK6)
| ~ coll(sK5,X0,sK6)
| ~ midp(sK6,X0,sK5) ),
inference(superposition,[status(thm)],[c_7470,c_84]) ).
tcf(c_11609,plain,
( midp(sK5,sK0,sK6)
| ~ coll(sK5,sK0,sK6)
| ~ midp(sK6,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_11559]) ).
tcf(c_11819,plain,
coll(sK5,sK6,sK5),
inference(superposition,[status(thm)],[c_7725,c_86]) ).
tcf(c_12523,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK5)
| ~ para(X0,X1,X0,sK5) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_12526,plain,
( coll(sK0,sK0,sK5)
| ~ para(sK0,sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_12523]) ).
tcf(c_12632,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK1,X1)
| ~ para(sK1,X0,X1,sK1) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_12633,plain,
( para(sK1,sK0,sK1,sK0)
| ~ para(sK1,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_12632]) ).
tcf(c_13087,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_120,c_139]) ).
tcf(c_13099,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_13087]) ).
tcf(c_15000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X2,X1,X3)
| ~ midp(sK23(sK1,sK2,sK2,sK1,sK4,sK4),X2,X3)
| ~ midp(sK23(sK1,sK2,sK2,sK1,sK4,sK4),X0,X1) ),
inference(instantiation,[status(thm)],[c_107]) ).
tcf(c_15008,plain,
( para(sK0,sK0,sK0,sK0)
| ~ midp(sK23(sK1,sK2,sK2,sK1,sK4,sK4),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_15000]) ).
tcf(c_15416,plain,
! [X0: $i] :
( coll(sK5,sK6,X0)
| ~ coll(sK5,X0,sK6) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_15417,plain,
( coll(sK5,sK6,sK0)
| ~ coll(sK5,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_15416]) ).
tcf(c_20053,plain,
! [X0: $i] :
( coll(sK5,sK0,sK0)
| ~ coll(sK0,X0,sK0)
| ~ coll(sK0,X0,sK5) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_20054,plain,
( coll(sK5,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_20053]) ).
tcf(c_22846,plain,
( perp(sK5,sK6,sK6,sK8)
| ~ perp(sK6,sK8,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_23988,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_95]) ).
tcf(c_23989,plain,
( perp(sK0,sK0,sK0,sK5)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK5,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_23988]) ).
tcf(c_23990,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK6)
| ~ cong(X0,sK6,X1,sK6)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_23991,plain,
( perp(sK0,sK0,sK0,sK6)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_23990]) ).
tcf(c_24024,plain,
! [X0: $i,X1: $i] :
( perp(sK6,sK8,X0,X1)
| ~ cong(sK6,X1,sK8,X1)
| ~ cong(sK6,X0,sK8,X0) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_24025,plain,
( perp(sK6,sK8,sK0,sK0)
| ~ cong(sK6,sK0,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_24024]) ).
tcf(c_25697,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK5,X0,X1)
| ~ perp(X0,X1,X1,sK5) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_25698,plain,
( perp(sK0,sK5,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_25697]) ).
tcf(c_25708,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK6,X0,X1)
| ~ perp(X0,X1,X1,sK6) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_25709,plain,
( perp(sK0,sK6,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_25708]) ).
tcf(c_26181,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK5,X1)
| ~ cong(X0,sK5,X1,sK5)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_26182,plain,
( perp(sK0,sK0,sK5,sK0)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK5,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_26181]) ).
tcf(c_26190,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK6,X1)
| ~ cong(X0,sK6,X1,sK6)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_26191,plain,
( perp(sK0,sK0,sK6,sK0)
| ~ cong(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_26190]) ).
tcf(c_28209,plain,
perp(sK0,sK1,sK6,sK5),
inference(superposition,[status(thm)],[c_54,c_100]) ).
tcf(c_28262,plain,
perp(sK0,sK1,sK5,sK6),
inference(superposition,[status(thm)],[c_28209,c_101]) ).
tcf(c_28856,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK5,X0,X1)
| ~ perp(sK0,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_54,c_99]) ).
tcf(c_29029,plain,
para(sK6,sK5,sK5,sK6),
inference(superposition,[status(thm)],[c_28262,c_28856]) ).
tcf(c_29365,plain,
para(sK5,sK6,sK6,sK5),
inference(superposition,[status(thm)],[c_29029,c_123]) ).
tcf(c_29464,plain,
para(sK5,sK6,sK5,sK6),
inference(superposition,[status(thm)],[c_29365,c_124]) ).
tcf(c_38709,plain,
para(sK5,sK6,sK5,sK6),
inference(superposition,[status(thm)],[c_7755,c_124]) ).
tcf(c_39224,plain,
! [X0: $i] :
( midp(X0,sK6,sK6)
| ~ midp(X0,sK5,sK5)
| ~ para(sK5,sK6,sK5,sK6) ),
inference(superposition,[status(thm)],[c_38709,c_106]) ).
tcf(c_39228,plain,
coll(sK5,sK6,sK6),
inference(superposition,[status(thm)],[c_38709,c_82]) ).
tcf(c_39232,plain,
! [X0: $i] :
( midp(X0,sK6,sK6)
| ~ midp(X0,sK5,sK5) ),
inference(forward_subsumption_resolution,[status(thm)],[c_39224,c_38709]) ).
tcf(c_39235,plain,
( midp(sK0,sK6,sK6)
| ~ midp(sK0,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_39232]) ).
tcf(c_39259,plain,
coll(sK6,sK5,sK6),
inference(superposition,[status(thm)],[c_39228,c_86]) ).
tcf(c_39417,plain,
coll(sK6,sK6,sK5),
inference(superposition,[status(thm)],[c_39259,c_87]) ).
tcf(c_39444,plain,
! [X0: $i] :
( coll(sK5,X0,sK6)
| ~ coll(sK6,sK6,X0) ),
inference(superposition,[status(thm)],[c_39417,c_85]) ).
tcf(c_39452,plain,
( coll(sK5,sK0,sK6)
| ~ coll(sK6,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_39444]) ).
tcf(c_42532,plain,
! [X0: $i] :
( cong(X0,sK6,X0,sK6)
| ~ midp(X0,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_42533,plain,
( cong(sK0,sK6,sK0,sK6)
| ~ midp(sK0,sK6,sK6) ),
inference(instantiation,[status(thm)],[c_42532]) ).
tcf(c_47984,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK6,sK5)
| ~ cong(X0,sK6,X1,sK6)
| ~ cong(X0,sK5,X1,sK5) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_47985,plain,
( perp(sK0,sK0,sK6,sK5)
| ~ cong(sK0,sK6,sK0,sK6)
| ~ cong(sK0,sK5,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_47984]) ).
tcf(c_50241,plain,
! [X0: $i] :
( cong(sK6,sK5,X0,sK5)
| ~ cong(X0,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_50242,plain,
( cong(sK6,sK5,sK0,sK5)
| ~ cong(sK0,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_50241]) ).
tcf(c_50268,plain,
( cong(sK5,sK6,sK5,sK8)
| ~ cong(sK5,sK6,sK8,sK5) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_57131,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK5,sK6,sK5)
| ~ midp(sK5,X0,X1)
| ~ perp(X0,sK6,sK6,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_57132,plain,
( cong(sK0,sK5,sK6,sK5)
| ~ midp(sK5,sK0,sK0)
| ~ perp(sK0,sK6,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_57131]) ).
tcf(c_57144,plain,
! [X0: $i] :
( cong(sK6,sK5,sK5,X0)
| ~ cong(sK6,sK5,X0,sK5) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_57145,plain,
( cong(sK6,sK5,sK5,sK0)
| ~ cong(sK6,sK5,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_57144]) ).
tcf(c_57231,plain,
! [X0: $i] :
( midp(sK5,sK6,X0)
| ~ midp(sK5,X0,sK6) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_57232,plain,
( midp(sK5,sK6,sK0)
| ~ midp(sK5,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_57231]) ).
tcf(c_57949,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK5,X1,sK5,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK5,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_57950,plain,
( cong(sK5,sK0,sK5,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ perp(sK5,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_57949]) ).
tcf(c_58579,plain,
! [X0: $i] :
( cong(X0,sK5,X0,sK5)
| ~ midp(X0,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_58580,plain,
( cong(sK0,sK5,sK0,sK5)
| ~ midp(sK0,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_58579]) ).
tcf(c_59126,plain,
! [X0: $i,X1: $i] :
( perp(sK5,X0,X0,X1)
| ~ perp(X0,X1,sK5,X0) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_59127,plain,
( perp(sK5,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_59126]) ).
tcf(c_65170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK6,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK6,X2,X1)
| ~ para(X0,X1,X2,sK6) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_65171,plain,
( midp(sK0,sK6,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK6)
| ~ para(sK0,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_65170]) ).
tcf(c_75571,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X1,sK5,X2,X3,X1,sK5)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_75572,plain,
( eqangle(sK0,sK0,sK0,sK5,sK0,sK0,sK0,sK5)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_75571]) ).
tcf(c_79594,plain,
( perp(sK6,sK8,sK5,sK6)
| ~ perp(sK6,sK8,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_79678,plain,
! [X0: $i,X1: $i] :
( cong(sK6,sK5,X0,sK5)
| ~ midp(sK5,sK6,X1)
| ~ perp(sK6,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_79701,plain,
! [X0: $i,X1: $i] :
( circle(sK5,sK6,X0,X1)
| ~ cong(sK5,sK6,sK5,X1)
| ~ cong(sK5,sK6,sK5,X0) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_79706,plain,
! [X0: $i,X1: $i] :
( eqangle(sK5,sK6,sK6,sK8,X0,X1,sK6,sK8)
| ~ para(sK5,sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_79950,plain,
! [X0: $i,X1: $i] :
( perp(sK6,sK8,sK6,sK5)
| ~ para(sK6,sK8,X0,X1)
| ~ perp(X0,X1,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_79951,plain,
( perp(sK6,sK8,sK6,sK5)
| ~ para(sK6,sK8,sK0,sK0)
| ~ perp(sK0,sK0,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_79950]) ).
tcf(c_80127,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_106]) ).
tcf(c_80128,plain,
( midp(sK0,sK5,sK5)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK5,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_80127]) ).
tcf(c_80143,plain,
! [X0: $i] :
( cong(X0,sK5,sK6,sK5)
| ~ cong(sK6,sK5,X0,sK5) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_80199,plain,
! [X0: $i,X1: $i] :
( perp(X1,sK5,sK5,sK6)
| ~ coll(X0,X1,sK6)
| ~ circle(X0,X1,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_80206,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK5,sK6)
| ~ perp(X0,X1,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_80334,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(sK6,sK8,X0,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(sK6,sK8,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_80337,plain,
! [X0: $i,X1: $i] :
( perp(sK6,sK8,sK8,X1)
| ~ coll(X0,sK6,X1)
| ~ circle(X0,sK6,sK8,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_80340,plain,
! [X0: $i,X1: $i] :
( perp(sK6,sK8,X1,X0)
| ~ perp(sK6,sK8,X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_80376,plain,
! [X0: $i] :
( cong(sK5,sK6,sK5,X0)
| ~ midp(sK5,sK6,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_80377,plain,
( cong(sK5,sK6,sK5,sK0)
| ~ midp(sK5,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_80376]) ).
tcf(c_80407,plain,
! [X0: $i] :
( midp(sK5,sK6,X0)
| ~ coll(sK5,sK6,X0)
| ~ cong(sK5,sK6,sK5,X0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_80408,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK5,sK6,X2)
| ~ coll(sK5,sK6,X2)
| ~ midp(X0,sK6,X1)
| ~ para(X0,sK5,X1,X2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_80612,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(sK6,sK5,X2,X3)
| ~ cong(sK6,sK5,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_80634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,sK6,X3,sK6)
| ~ cong(X1,X2,X3,sK6)
| ~ cong(X0,sK6,X1,X2) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_80824,plain,
! [X0: $i,X1: $i] :
( perp(sK5,X0,X0,X1)
| ~ perp(X0,X1,sK5,X0) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_80862,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK6,sK8,sK5,sK6)
| ~ eqangle(X0,X1,X2,X3,sK5,sK6,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_80990,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,sK6,sK8,X2,X3,X4,X5)
| ~ eqangle(X0,X1,X2,X3,sK6,sK8,X4,X5) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_81051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK5,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK5,X2,X1)
| ~ para(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_81052,plain,
( midp(sK0,sK5,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK5)
| ~ para(sK0,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_81051]) ).
tcf(c_81084,plain,
! [X0: $i,X1: $i] :
( midp(sK5,X0,X1)
| ~ coll(sK5,X0,X1)
| ~ cong(sK5,X0,sK5,X1) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_81085,plain,
( midp(sK5,sK0,sK0)
| ~ coll(sK5,sK0,sK0)
| ~ cong(sK5,sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_81084]) ).
tcf(c_82231,plain,
( cong(sK5,sK6,sK8,sK5)
| ~ cong(sK8,sK5,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_82501,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK6,X1,sK5)
| ~ midp(sK6,X0,X2)
| ~ para(X0,sK5,X2,X1)
| ~ para(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_82502,plain,
( midp(sK6,sK0,sK5)
| ~ midp(sK6,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK5)
| ~ para(sK0,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_82501]) ).
tcf(c_82542,plain,
! [X0: $i] :
( cong(X0,sK5,sK5,sK6)
| ~ cong(X0,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_83332,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK5,sK6)
| ~ cong(X0,X1,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_83333,plain,
( cong(sK0,sK0,sK5,sK6)
| ~ cong(sK0,sK0,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_83332]) ).
tcf(c_83751,plain,
! [X0: $i] :
( perp(X0,sK6,sK5,sK6)
| ~ perp(X0,sK6,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_80206]) ).
tcf(c_84277,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK6,sK5)
| ~ cong(sK6,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_84278,plain,
( cong(sK0,sK0,sK6,sK5)
| ~ cong(sK6,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_84277]) ).
tcf(c_84407,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK6,sK8,X2,X3)
| ~ perp(sK6,sK8,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_84408,plain,
( para(sK6,sK8,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK6,sK8,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_84407]) ).
tcf(c_84860,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK6,X3,X2)
| ~ coll(sK6,X3,X2)
| ~ midp(X0,X3,X1)
| ~ para(X0,sK6,X1,X2) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_84861,plain,
( midp(sK6,sK0,sK0)
| ~ coll(sK6,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_84860]) ).
tcf(c_85069,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X0,sK5)
| ~ perp(X2,X3,X0,sK5)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_85070,plain,
( para(sK0,sK0,sK0,sK5)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_85069]) ).
tcf(c_85289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK5,X3,sK5)
| ~ eqangle(X0,sK5,X1,X2,X3,sK5,X1,X2) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_85292,plain,
( para(sK0,sK5,sK0,sK5)
| ~ eqangle(sK0,sK5,sK0,sK0,sK0,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_85289]) ).
tcf(c_85444,plain,
! [X0: $i,X1: $i] :
( cong(sK6,X1,sK8,X1)
| ~ midp(X1,sK6,X0)
| ~ perp(sK6,sK8,sK8,X0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_85445,plain,
( cong(sK6,sK0,sK8,sK0)
| ~ midp(sK0,sK6,sK0)
| ~ perp(sK6,sK8,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_85444]) ).
tcf(c_85513,plain,
! [X0: $i,X1: $i] :
( cong(sK5,sK6,X0,X1)
| ~ cong(X0,X1,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_127]) ).
tcf(c_85514,plain,
( cong(sK5,sK6,sK0,sK0)
| ~ cong(sK0,sK0,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_85513]) ).
tcf(c_86365,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X3,sK6,sK6,X2)
| ~ para(X3,sK6,X0,X1)
| ~ perp(X0,X1,sK6,X2) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_86366,plain,
( perp(sK0,sK6,sK6,sK0)
| ~ para(sK0,sK6,sK0,sK0)
| ~ perp(sK0,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_86365]) ).
tcf(c_86807,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X4,sK5,X2,X3)
| ~ perp(X4,sK5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_86808,plain,
( para(sK0,sK5,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK5,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_86807]) ).
tcf(c_87489,plain,
! [X0: $i,X1: $i] :
( cong(sK5,X0,X0,X0)
| ~ midp(X0,sK5,X1)
| ~ perp(sK5,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_87490,plain,
( cong(sK5,sK0,sK0,sK0)
| ~ midp(sK0,sK5,sK0)
| ~ perp(sK5,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_87489]) ).
tcf(c_89438,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,sK5,X0,X1,X2,sK5,X2,X1)
| ~ eqangle(X0,X1,X0,sK5,X2,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_132]) ).
tcf(c_89439,plain,
( eqangle(sK0,sK5,sK0,sK0,sK0,sK5,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK5,sK0,sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_89438]) ).
tcf(c_90022,plain,
! [X0: $i] :
( perp(sK5,sK6,sK6,X0)
| ~ perp(sK6,X0,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_80824]) ).
tcf(c_90267,plain,
( midp(sK5,sK6,sK6)
| ~ coll(sK5,sK6,sK6)
| ~ cong(sK5,sK6,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_80407]) ).
tcf(c_90507,plain,
( eqangle(sK5,sK6,sK6,sK8,sK5,sK6,sK6,sK8)
| ~ para(sK5,sK6,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_79706]) ).
tcf(c_90509,plain,
( eqangle(sK6,sK8,sK5,sK6,sK6,sK8,sK5,sK6)
| ~ eqangle(sK5,sK6,sK6,sK8,sK5,sK6,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_80862]) ).
tcf(c_91204,plain,
( eqangle(sK6,sK8,sK6,sK8,sK5,sK6,sK5,sK6)
| ~ eqangle(sK6,sK8,sK5,sK6,sK6,sK8,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_80990]) ).
tcf(c_92599,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X4,sK6,X2,X3)
| ~ perp(X4,sK6,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_92600,plain,
( para(sK0,sK6,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_92599]) ).
tcf(c_93086,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK6)
| ~ perp(X2,X3,X4,sK6)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_93087,plain,
( para(sK0,sK0,sK0,sK6)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_93086]) ).
tcf(c_94267,plain,
( cong(sK8,sK5,sK6,sK5)
| ~ cong(sK6,sK5,sK8,sK5) ),
inference(instantiation,[status(thm)],[c_80143]) ).
tcf(c_94277,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK6,sK5,X1,X2)
| ~ cong(sK6,sK5,sK5,X0)
| ~ cong(sK5,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_80612]) ).
tcf(c_94281,plain,
( cong(sK6,sK5,sK0,sK0)
| ~ cong(sK6,sK5,sK5,sK0)
| ~ cong(sK5,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_94277]) ).
tcf(c_94402,plain,
! [X0: $i] :
( circle(sK5,sK6,sK8,X0)
| ~ cong(sK5,sK6,sK5,sK8)
| ~ cong(sK5,sK6,sK5,X0) ),
inference(instantiation,[status(thm)],[c_79701]) ).
tcf(c_94403,plain,
! [X0: $i] :
( perp(sK6,sK8,sK8,X0)
| ~ coll(sK5,sK6,X0)
| ~ circle(sK5,sK6,sK8,X0) ),
inference(instantiation,[status(thm)],[c_80337]) ).
tcf(c_94404,plain,
( circle(sK5,sK6,sK8,sK0)
| ~ cong(sK5,sK6,sK5,sK0)
| ~ cong(sK5,sK6,sK5,sK8) ),
inference(instantiation,[status(thm)],[c_94402]) ).
tcf(c_94405,plain,
( perp(sK6,sK8,sK8,sK0)
| ~ coll(sK5,sK6,sK0)
| ~ circle(sK5,sK6,sK8,sK0) ),
inference(instantiation,[status(thm)],[c_94403]) ).
tcf(c_94407,plain,
! [X0: $i] :
( circle(sK5,sK6,sK5,X0)
| ~ cong(sK5,sK6,sK5,sK5)
| ~ cong(sK5,sK6,sK5,X0) ),
inference(instantiation,[status(thm)],[c_79701]) ).
tcf(c_94440,plain,
! [X0: $i] :
( cong(sK6,sK5,sK8,sK5)
| ~ midp(sK5,sK6,X0)
| ~ perp(sK6,sK8,sK8,X0) ),
inference(instantiation,[status(thm)],[c_79678]) ).
tcf(c_94538,plain,
! [X0: $i,X1: $i] :
( cong(sK5,sK6,sK5,sK6)
| ~ cong(sK5,sK6,X0,X1)
| ~ cong(X0,X1,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_80634]) ).
tcf(c_94539,plain,
( cong(sK5,sK6,sK5,sK6)
| ~ cong(sK0,sK0,sK5,sK6)
| ~ cong(sK5,sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_94538]) ).
tcf(c_98069,plain,
( cong(sK8,sK5,sK5,sK6)
| ~ cong(sK8,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_82542]) ).
tcf(c_100646,plain,
( cong(sK5,sK6,sK5,sK5)
| ~ midp(sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_80376]) ).
tcf(c_103088,plain,
( perp(sK6,sK8,sK6,sK8)
| ~ perp(sK5,sK6,sK5,sK6)
| ~ eqangle(sK6,sK8,sK6,sK8,sK5,sK6,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_80334]) ).
tcf(c_103390,plain,
! [X0: $i,X1: $i] :
( midp(sK5,sK6,sK5)
| ~ coll(sK5,sK6,sK5)
| ~ midp(X0,sK6,X1)
| ~ para(X0,sK5,X1,sK5) ),
inference(instantiation,[status(thm)],[c_80408]) ).
tcf(c_103391,plain,
( midp(sK5,sK6,sK5)
| ~ coll(sK5,sK6,sK5)
| ~ midp(sK0,sK6,sK0)
| ~ para(sK0,sK5,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_103390]) ).
tcf(c_104059,plain,
( circle(sK5,sK6,sK5,sK6)
| ~ cong(sK5,sK6,sK5,sK6)
| ~ cong(sK5,sK6,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_94407]) ).
tcf(c_104060,plain,
( perp(sK6,sK5,sK5,sK6)
| ~ coll(sK5,sK6,sK6)
| ~ circle(sK5,sK6,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_80199]) ).
tcf(c_105150,plain,
( perp(sK5,sK6,sK6,sK5)
| ~ perp(sK6,sK5,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_90022]) ).
tcf(c_105151,plain,
( perp(sK5,sK6,sK5,sK6)
| ~ perp(sK5,sK6,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_83751]) ).
tcf(c_118261,plain,
( perp(sK6,sK8,sK8,sK6)
| ~ perp(sK6,sK8,sK6,sK8) ),
inference(instantiation,[status(thm)],[c_80340]) ).
tcf(c_124584,plain,
( cong(sK6,sK5,sK8,sK5)
| ~ midp(sK5,sK6,sK6)
| ~ perp(sK6,sK8,sK8,sK6) ),
inference(instantiation,[status(thm)],[c_94440]) ).
tcf(c_124586,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_124584,c_118261,c_105151,c_105150,c_104060,c_104059,c_103391,c_103088,c_100646,c_98069,c_94539,c_94405,c_94404,c_94281,c_94267,c_93087,c_92600,c_91204,c_90509,c_90507,c_90267,c_89439,c_87490,c_86808,c_86366,c_85514,c_85445,c_85292,c_85070,c_84861,c_84408,c_84278,c_83333,c_82502,c_82231,c_81085,c_81052,c_80377,c_80128,c_79951,c_79594,c_75572,c_65171,c_59127,c_58580,c_57950,c_57232,c_57145,c_57132,c_50268,c_50242,c_47985,c_42533,c_39452,c_39235,c_39228,c_29464,c_26191,c_26182,c_25709,c_25698,c_24025,c_23991,c_23989,c_22846,c_20054,c_15417,c_15008,c_13099,c_12633,c_12526,c_11819,c_11609,c_7273,c_7228,c_7019,c_5962,c_4771,c_4377,c_4305,c_4207,c_3744,c_2507,c_2450,c_2282,c_2280,c_2278,c_2276,c_2273,c_198,c_160,c_156,c_153,c_49,c_54,c_51,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO614+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n008.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 12:34:25 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.43 % Detected problem language: tptp
% 0.14/0.44 % Proving...
% 50.51/9.98 % SZS status Started for theBenchmark.p
% 50.51/9.98 % SZS status Theorem for theBenchmark.p
% 50.51/9.98
% 50.51/9.98 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 50.51/9.98
% 50.51/9.98 % ------ iProver source info
% 50.51/9.98
% 50.51/9.98 % git: date: 2026-07-19 20:42:38 +0200
% 50.51/9.98 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 50.51/9.98 % git: non_committed_changes: false
% 50.51/9.98
% 50.51/9.98 % ------ Parsing...
% 50.51/9.98 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 50.51/9.98
% 50.51/9.98 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 50.51/9.98
% 50.51/9.98 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 50.51/9.98 % ------ Proving...
% 50.51/9.98 % ------ Problem Properties
% 50.51/9.98
% 50.51/9.98 %
% 50.51/9.98 % clauses 97
% 50.51/9.98 % conjectures 10
% 50.51/9.98 % EPR 64
% 50.51/9.98 % Horn 92
% 50.51/9.98 % unary 10
% 50.51/9.98 % binary 24
% 50.51/9.98 % lits 266
% 50.51/9.98 % lits eq 0
% 50.51/9.98 % fd_pure 0
% 50.51/9.98 % fd_pseudo 0
% 50.51/9.98 % fd_cond 0
% 50.51/9.98 % fd_pseudo_cond 0
% 50.51/9.98 % AC symbols 0
% 50.51/9.98
% 50.51/9.98 % ------ Schedule dynamic 5 is on
% 50.51/9.98
% 50.51/9.98 % ------ no equalities: superposition off
% 50.51/9.98
% 50.51/9.98 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 50.51/9.98
% 50.51/9.98
% 50.51/9.98 % ------
% 50.51/9.98 % Current options:
% 50.51/9.98 % ------
% 50.51/9.98
% 50.51/9.98
% 50.51/9.98 %
% 50.51/9.98
% 50.51/9.98 % ------ Proving...
% 50.51/9.98 %
% 50.51/9.98
% 50.51/9.98 % SZS status Theorem for theBenchmark.p
% 50.51/9.98
% 50.51/9.98 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.51/9.99
% 50.51/9.99
%------------------------------------------------------------------------------