%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO591+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 : n013.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 01:21:34 PM UTC 2026
% Result : Theorem 26.21s 4.28s
% Output : CNFRefutation 26.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 28
% Syntax : Number of formulae : 376 ( 120 unt; 0 def)
% Number of atoms : 794 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 758 ( 340 ~; 334 |; 55 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-5 aty)
% Number of variables : 697 ( 0 sgn 676 !; 21 ?; 225 :)
% 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(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(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(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/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(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(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X5,X3,X4)
& perp(X0,X3,X3,X4)
& coll(X3,X1,X2)
& perp(X0,X1,X1,X5)
& perp(X0,X2,X2,X4)
& circle(X0,X1,X2,X8)
& circle(X0,X1,X6,X7) )
=> cong(X0,X4,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416053) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X5,X3,X4)
& perp(X0,X3,X3,X4)
& coll(X3,X1,X2)
& perp(X0,X1,X1,X5)
& perp(X0,X2,X2,X4)
& circle(X0,X1,X2,X8)
& circle(X0,X1,X6,X7) )
=> cong(X0,X4,X0,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f164]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(flattening,[],[f241]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( coll(X5,X3,X4)
& perp(X0,X3,X3,X4)
& coll(X3,X1,X2)
& perp(X0,X1,X1,X5)
& perp(X0,X2,X2,X4)
& circle(X0,X1,X2,X8)
& circle(X0,X1,X6,X7)
& ~ cong(X0,X4,X0,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( coll(X5,X3,X4)
& perp(X0,X3,X3,X4)
& coll(X3,X1,X2)
& perp(X0,X1,X1,X5)
& perp(X0,X2,X2,X4)
& circle(X0,X1,X2,X8)
& circle(X0,X1,X6,X7)
& ~ cong(X0,X4,X0,X5) ),
inference(flattening,[],[f249]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f242]) ).
fof(f270,plain,
( coll(sK25,sK23,sK24)
& perp(sK20,sK23,sK23,sK24)
& coll(sK23,sK21,sK22)
& perp(sK20,sK21,sK21,sK25)
& perp(sK20,sK22,sK22,sK24)
& circle(sK20,sK21,sK22,sK28)
& circle(sK20,sK21,sK26,sK27)
& ~ cong(sK20,sK24,sK20,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f319,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f266]) ).
fof(f384,plain,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK20,sK23,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK23,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK20,sK21,sK21,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
perp(sK20,sK22,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ cong(sK20,sK24,sK20,sK25),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_162,negated_conjecture,
~ cong(sK20,sK24,sK20,sK25),
inference(cnf_transformation,[],[f391]) ).
tcf(c_165,negated_conjecture,
perp(sK20,sK22,sK22,sK24),
inference(cnf_transformation,[],[f388]) ).
tcf(c_166,negated_conjecture,
perp(sK20,sK21,sK21,sK25),
inference(cnf_transformation,[],[f387]) ).
tcf(c_167,negated_conjecture,
coll(sK23,sK21,sK22),
inference(cnf_transformation,[],[f386]) ).
tcf(c_168,negated_conjecture,
perp(sK20,sK23,sK23,sK24),
inference(cnf_transformation,[],[f385]) ).
tcf(c_169,negated_conjecture,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f384]) ).
tcf(c_175,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_4827,negated_conjecture,
coll(sK25,sK23,sK24),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_4828,negated_conjecture,
perp(sK20,sK23,sK23,sK24),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_4829,negated_conjecture,
coll(sK23,sK21,sK22),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4830,negated_conjecture,
perp(sK20,sK21,sK21,sK25),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4831,negated_conjecture,
perp(sK20,sK22,sK22,sK24),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_6357,plain,
coll(sK25,sK24,sK23),
inference(superposition,[status(thm)],[c_4827,c_49]) ).
tcf(c_6362,plain,
coll(sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_4829,c_50]) ).
tcf(c_6378,plain,
coll(sK24,sK25,sK23),
inference(superposition,[status(thm)],[c_6357,c_50]) ).
tcf(c_6381,plain,
coll(sK21,sK22,sK23),
inference(superposition,[status(thm)],[c_6362,c_49]) ).
tcf(c_6407,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_4829,c_51]) ).
tcf(c_6410,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK24,X0) ),
inference(superposition,[status(thm)],[c_6357,c_51]) ).
tcf(c_6414,plain,
! [X0: $i] :
( coll(sK23,X0,sK24)
| ~ coll(sK24,sK25,X0) ),
inference(superposition,[status(thm)],[c_6378,c_51]) ).
tcf(c_6415,plain,
! [X0: $i] :
( coll(sK23,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_6381,c_51]) ).
tcf(c_6467,plain,
perp(sK20,sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_4831,c_55]) ).
tcf(c_6468,plain,
perp(sK20,sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_4830,c_55]) ).
tcf(c_6474,plain,
perp(sK22,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_4831,c_56]) ).
tcf(c_6475,plain,
perp(sK21,sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_4830,c_56]) ).
tcf(c_6476,plain,
perp(sK23,sK24,sK20,sK23),
inference(superposition,[status(thm)],[c_4828,c_56]) ).
tcf(c_6477,plain,
perp(sK24,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_6467,c_56]) ).
tcf(c_6479,plain,
perp(sK25,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6468,c_56]) ).
tcf(c_6484,plain,
perp(sK22,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_6474,c_55]) ).
tcf(c_6486,plain,
perp(sK21,sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_6475,c_55]) ).
tcf(c_6488,plain,
perp(sK23,sK24,sK23,sK20),
inference(superposition,[status(thm)],[c_6476,c_55]) ).
tcf(c_6493,plain,
coll(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_4829,c_6407]) ).
tcf(c_6494,plain,
! [X0: $i] :
( coll(sK23,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6493,c_51]) ).
tcf(c_6588,plain,
coll(sK23,sK23,sK25),
inference(superposition,[status(thm)],[c_6357,c_6410]) ).
tcf(c_6590,plain,
! [X0: $i] :
( coll(sK25,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_6588,c_51]) ).
tcf(c_6662,plain,
coll(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_6493,c_6494]) ).
tcf(c_6664,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_6662,c_51]) ).
tcf(c_6781,plain,
coll(sK23,sK23,sK24),
inference(superposition,[status(thm)],[c_6378,c_6414]) ).
tcf(c_6835,plain,
! [X0: $i] :
( coll(sK24,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_6781,c_51]) ).
tcf(c_6852,plain,
coll(sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_6381,c_6415]) ).
tcf(c_6982,plain,
coll(sK25,sK21,sK23),
inference(superposition,[status(thm)],[c_6852,c_6590]) ).
tcf(c_7021,plain,
coll(sK22,sK24,sK23),
inference(superposition,[status(thm)],[c_6781,c_6664]) ).
tcf(c_7037,plain,
! [X0: $i] :
( cong(sK20,X0,sK22,X0)
| ~ midp(X0,sK20,sK24) ),
inference(superposition,[status(thm)],[c_4831,c_101]) ).
tcf(c_7038,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(X0,sK20,sK25) ),
inference(superposition,[status(thm)],[c_4830,c_101]) ).
tcf(c_7092,plain,
( cong(sK20,sK22,sK20,sK24)
| ~ midp(sK22,sK22,sK24) ),
inference(superposition,[status(thm)],[c_4831,c_104]) ).
tcf(c_7093,plain,
( cong(sK20,sK21,sK20,sK25)
| ~ midp(sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_4830,c_104]) ).
tcf(c_7098,plain,
( cong(sK22,sK20,sK22,sK22)
| ~ midp(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6474,c_104]) ).
tcf(c_7099,plain,
( cong(sK21,sK20,sK21,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6475,c_104]) ).
tcf(c_7101,plain,
( cong(sK24,sK20,sK24,sK22)
| ~ midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6477,c_104]) ).
tcf(c_7102,plain,
( cong(sK25,sK20,sK25,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6479,c_104]) ).
tcf(c_7182,plain,
coll(sK25,sK23,sK21),
inference(superposition,[status(thm)],[c_6982,c_49]) ).
tcf(c_7207,plain,
coll(sK24,sK22,sK23),
inference(superposition,[status(thm)],[c_7021,c_50]) ).
tcf(c_7208,plain,
coll(sK22,sK23,sK24),
inference(superposition,[status(thm)],[c_7021,c_49]) ).
tcf(c_7221,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK22)
| ~ midp(X0,sK20,sK24) ),
inference(superposition,[status(thm)],[c_7037,c_71]) ).
tcf(c_7233,plain,
! [X0: $i] :
( cong(sK20,X0,X0,sK21)
| ~ midp(X0,sK20,sK25) ),
inference(superposition,[status(thm)],[c_7038,c_71]) ).
tcf(c_7307,plain,
( cong(sK20,sK24,sK20,sK22)
| ~ midp(sK22,sK22,sK24) ),
inference(superposition,[status(thm)],[c_7092,c_72]) ).
tcf(c_7325,plain,
( cong(sK20,sK25,sK20,sK21)
| ~ midp(sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_7093,c_72]) ).
tcf(c_7370,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4831,c_57]) ).
tcf(c_7371,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK21,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_4830,c_57]) ).
tcf(c_7372,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK23,X0,X1)
| ~ perp(sK23,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4828,c_57]) ).
tcf(c_7378,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK24,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6474,c_57]) ).
tcf(c_7379,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK25,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_6475,c_57]) ).
tcf(c_7549,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_7182,c_51]) ).
tcf(c_7555,plain,
( coll(sK21,sK20,sK25)
| ~ coll(sK25,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_7549]) ).
tcf(c_7585,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_6474,c_7370]) ).
tcf(c_7586,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_6484,c_7370]) ).
tcf(c_7597,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6475,c_7371]) ).
tcf(c_7598,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6486,c_7371]) ).
tcf(c_7603,plain,
para(sK20,sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_6476,c_7372]) ).
tcf(c_7604,plain,
para(sK20,sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_6488,c_7372]) ).
tcf(c_7627,plain,
coll(sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_7585,c_115]) ).
tcf(c_7630,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_7586,c_53]) ).
tcf(c_7646,plain,
coll(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_7597,c_115]) ).
tcf(c_7665,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK20,X0,X1,X2)
| ~ midp(X0,sK20,sK24)
| ~ cong(sK22,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7037,c_73]) ).
tcf(c_7666,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK20,X0,X1,X2)
| ~ midp(X0,sK20,sK25)
| ~ cong(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7038,c_73]) ).
tcf(c_7668,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK22,X0,X1)
| ~ midp(sK22,sK22,sK24)
| ~ cong(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_7092,c_73]) ).
tcf(c_7669,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK21,X0,X1)
| ~ midp(sK21,sK21,sK25)
| ~ cong(sK20,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_7093,c_73]) ).
tcf(c_7713,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X1,X0)
| ~ midp(X1,sK20,sK24)
| ~ cong(sK20,X0,sK22,X0) ),
inference(superposition,[status(thm)],[c_7037,c_105]) ).
tcf(c_7714,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X1,X0)
| ~ midp(X1,sK20,sK25)
| ~ cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_7038,c_105]) ).
tcf(c_7749,plain,
coll(sK24,sK23,sK22),
inference(superposition,[status(thm)],[c_7207,c_49]) ).
tcf(c_7783,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK23,X0) ),
inference(superposition,[status(thm)],[c_7208,c_51]) ).
tcf(c_7807,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_7598,c_53]) ).
tcf(c_7819,plain,
coll(sK20,sK23,sK23),
inference(superposition,[status(thm)],[c_7603,c_115]) ).
tcf(c_7822,plain,
para(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_7604,c_53]) ).
tcf(c_8178,plain,
! [X0: $i] :
( cong(X0,sK22,sK20,X0)
| ~ midp(X0,sK20,sK24) ),
inference(superposition,[status(thm)],[c_7221,c_72]) ).
tcf(c_8223,plain,
! [X0: $i] :
( cong(X0,sK21,sK20,X0)
| ~ midp(X0,sK20,sK25) ),
inference(superposition,[status(thm)],[c_7233,c_72]) ).
tcf(c_8389,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_7627,c_50]) ).
tcf(c_8901,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_7646,c_50]) ).
tcf(c_8906,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK23,X0) ),
inference(superposition,[status(thm)],[c_7749,c_51]) ).
tcf(c_8912,plain,
( coll(sK22,sK20,sK24)
| ~ coll(sK24,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_8906]) ).
tcf(c_8977,plain,
para(sK22,sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_6467,c_7378]) ).
tcf(c_9006,plain,
para(sK24,sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_8977,c_53]) ).
tcf(c_9032,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
tcf(c_9045,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9032]) ).
tcf(c_9055,plain,
! [X0: $i] :
( midp(sK22,X0,sK22)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_7585,c_94]) ).
tcf(c_9057,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7597,c_94]) ).
tcf(c_9092,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_9057]) ).
tcf(c_9094,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_9055]) ).
tcf(c_9236,plain,
para(sK21,sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_6468,c_7379]) ).
tcf(c_9262,plain,
para(sK25,sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_9236,c_53]) ).
tcf(c_9540,plain,
coll(sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_7819,c_50]) ).
tcf(c_9937,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK24,sK22,X0,X1,sK22,X1,X0)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_4831,c_97]) ).
tcf(c_9938,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK25,sK21,X0,X1,sK21,X1,X0)
| ~ circle(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_4830,c_97]) ).
tcf(c_10099,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK24,X1,sK22,sK22,X0,X1,X0)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_9937,c_69]) ).
tcf(c_10103,plain,
! [X0: $i] :
( para(sK22,sK24,sK22,sK22)
| ~ circle(sK20,sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_9937,c_87]) ).
tcf(c_10114,plain,
( para(sK22,sK24,sK22,sK22)
| ~ circle(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_10103]) ).
tcf(c_10148,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK25,X1,sK21,sK21,X0,X1,X0)
| ~ circle(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_9938,c_69]) ).
tcf(c_10152,plain,
! [X0: $i] :
( para(sK21,sK25,sK21,sK21)
| ~ circle(sK20,sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_9938,c_87]) ).
tcf(c_10163,plain,
( para(sK21,sK25,sK21,sK21)
| ~ circle(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_10152]) ).
tcf(c_10384,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7585,c_113]) ).
tcf(c_10386,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7597,c_113]) ).
tcf(c_10423,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10386,c_7597]) ).
tcf(c_10429,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10384,c_7585]) ).
tcf(c_10432,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10429]) ).
tcf(c_10433,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10423]) ).
tcf(c_10906,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_8389,c_49]) ).
tcf(c_11020,plain,
! [X0: $i] :
( para(sK22,sK24,sK22,sK22)
| ~ circle(sK20,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_10099,c_87]) ).
tcf(c_11169,plain,
! [X0: $i] :
( para(sK21,sK25,sK21,sK21)
| ~ circle(sK20,sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_10148,c_87]) ).
tcf(c_11358,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_8901,c_49]) ).
tcf(c_11704,plain,
! [X0: $i,X1: $i] :
( perp(sK16(sK20,sK25,sK21,X0,X1),sK20,X0,X1)
| ~ coll(sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_4830,c_156]) ).
tcf(c_11736,plain,
( perp(sK16(sK20,sK25,sK21,sK20,sK20),sK20,sK20,sK20)
| ~ coll(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11704]) ).
tcf(c_12278,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK16(sK20,sK25,sK21,X0,X1),sK20)
| ~ coll(sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_11704,c_56]) ).
tcf(c_13019,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ coll(sK25,X0,X1)
| ~ perp(sK16(sK20,sK25,sK21,X0,X1),sK20,X2,X3) ),
inference(superposition,[status(thm)],[c_12278,c_57]) ).
tcf(c_13058,plain,
( para(sK20,sK20,sK20,sK20)
| ~ coll(sK25,sK20,sK20)
| ~ perp(sK16(sK20,sK25,sK21,sK20,sK20),sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13019]) ).
tcf(c_13654,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_9540,c_49]) ).
tcf(c_14412,plain,
( cong(sK20,sK22,sK20,sK22)
| ~ midp(sK22,sK22,sK24) ),
inference(superposition,[status(thm)],[c_7307,c_7668]) ).
tcf(c_14516,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_7325,c_7669]) ).
tcf(c_14845,plain,
! [X0: $i] :
( coll(sK20,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_10906,c_51]) ).
tcf(c_14852,plain,
( coll(sK20,sK20,sK22)
| ~ coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_14845]) ).
tcf(c_14853,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_11358,c_51]) ).
tcf(c_14860,plain,
( coll(sK20,sK20,sK21)
| ~ coll(sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_14853]) ).
tcf(c_16429,plain,
coll(sK22,sK20,sK23),
inference(superposition,[status(thm)],[c_13654,c_6664]) ).
tcf(c_16430,plain,
coll(sK25,sK20,sK23),
inference(superposition,[status(thm)],[c_13654,c_6590]) ).
tcf(c_16907,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
tcf(c_17024,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16907]) ).
tcf(c_17932,plain,
coll(sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_16429,c_49]) ).
tcf(c_17936,plain,
coll(sK20,sK25,sK23),
inference(superposition,[status(thm)],[c_16430,c_50]) ).
tcf(c_17937,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_16430,c_49]) ).
tcf(c_18999,plain,
coll(sK24,sK20,sK23),
inference(superposition,[status(thm)],[c_13654,c_6835]) ).
tcf(c_19016,plain,
coll(sK20,sK23,sK25),
inference(superposition,[status(thm)],[c_17936,c_49]) ).
tcf(c_19090,plain,
coll(sK24,sK23,sK20),
inference(superposition,[status(thm)],[c_18999,c_49]) ).
tcf(c_19131,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK23,X0) ),
inference(superposition,[status(thm)],[c_19016,c_51]) ).
tcf(c_19136,plain,
( coll(sK25,sK20,sK20)
| ~ coll(sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_19131]) ).
tcf(c_20739,plain,
! [X0: $i] :
( midp(sK20,X0,sK22)
| ~ midp(sK22,X0,sK20)
| ~ coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7630,c_94]) ).
tcf(c_20743,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_7630,c_52]) ).
tcf(c_20756,plain,
( midp(sK20,sK20,sK22)
| ~ midp(sK22,sK20,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_20739]) ).
tcf(c_20779,plain,
! [X0: $i] :
( midp(sK20,X0,sK21)
| ~ midp(sK21,X0,sK20)
| ~ coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_7807,c_94]) ).
tcf(c_20783,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_7807,c_52]) ).
tcf(c_20796,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK20)
| ~ coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_20779]) ).
tcf(c_20823,plain,
para(sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_7822,c_52]) ).
tcf(c_20876,plain,
! [X0: $i] :
( midp(sK22,X0,sK24)
| ~ midp(sK24,X0,sK22)
| ~ coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_9006,c_94]) ).
tcf(c_20893,plain,
( midp(sK22,sK20,sK24)
| ~ midp(sK24,sK20,sK22)
| ~ coll(sK22,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_20876]) ).
tcf(c_21374,plain,
! [X0: $i] :
( midp(sK21,X0,sK25)
| ~ midp(sK25,X0,sK21)
| ~ coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_9262,c_94]) ).
tcf(c_21391,plain,
( midp(sK21,sK20,sK25)
| ~ midp(sK25,sK20,sK21)
| ~ coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_21374]) ).
tcf(c_21441,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_20743,c_115]) ).
tcf(c_21501,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_21441,c_50]) ).
tcf(c_21506,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_21501,c_51]) ).
tcf(c_21511,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_21506]) ).
tcf(c_21523,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_20783,c_115]) ).
tcf(c_21999,plain,
coll(sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_20823,c_115]) ).
tcf(c_22019,plain,
coll(sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_21999,c_50]) ).
tcf(c_24369,plain,
coll(sK21,sK20,sK25),
inference(superposition,[status(thm)],[c_17937,c_7549]) ).
tcf(c_24395,plain,
coll(sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_24369,c_50]) ).
tcf(c_24414,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_24395,c_49]) ).
tcf(c_24710,plain,
coll(sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_24414,c_50]) ).
tcf(c_24818,plain,
( cong(sK20,sK25,sK20,sK21)
| ~ midp(sK20,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_24819,plain,
( cong(sK20,sK24,sK20,sK22)
| ~ midp(sK20,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_25673,plain,
coll(sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_17932,c_7783]) ).
tcf(c_29054,plain,
( cong(sK20,sK21,sK20,sK25)
| ~ cong(sK20,sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_29055,plain,
( cong(sK20,sK22,sK20,sK24)
| ~ cong(sK20,sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_36425,plain,
cong(sK24,sK20,sK24,sK22),
inference(global_subsumption_just,[status(thm)],[c_7101,c_175,c_7101,c_8389,c_9045,c_9094,c_11736,c_13058,c_17024,c_19136,c_21501,c_21511,c_22019]) ).
tcf(c_36435,plain,
( midp(sK24,sK20,sK22)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_36425,c_116]) ).
tcf(c_36447,plain,
midp(sK24,sK20,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_36435,c_25673]) ).
tcf(c_36488,plain,
cong(sK22,sK20,sK22,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_7098,c_36447]) ).
tcf(c_36619,plain,
cong(sK22,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_36488,c_72]) ).
tcf(c_36720,plain,
cong(sK25,sK20,sK25,sK21),
inference(global_subsumption_just,[status(thm)],[c_7102,c_175,c_7102,c_8901,c_9045,c_9092,c_11736,c_13058,c_17024,c_19136,c_21501,c_21511,c_22019]) ).
tcf(c_36730,plain,
( midp(sK25,sK20,sK21)
| ~ coll(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_36720,c_116]) ).
tcf(c_36742,plain,
midp(sK25,sK20,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_36730,c_24710]) ).
tcf(c_36791,plain,
cong(sK21,sK20,sK21,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_7099,c_36742]) ).
tcf(c_36830,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK24,sK20,sK25)
| ~ cong(sK20,sK24,X0,X1)
| ~ cong(X0,X1,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_36831,plain,
( cong(sK20,sK24,sK20,sK25)
| ~ cong(sK20,sK24,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_36830]) ).
tcf(c_36947,plain,
cong(sK21,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_36791,c_72]) ).
tcf(c_38314,plain,
cong(sK22,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_36619,c_71]) ).
tcf(c_38806,plain,
( cong(sK20,sK22,sK20,sK22)
| ~ midp(sK22,sK20,sK24) ),
inference(superposition,[status(thm)],[c_8178,c_7665]) ).
tcf(c_39299,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK21,sK20,sK25) ),
inference(superposition,[status(thm)],[c_8223,c_7666]) ).
tcf(c_39532,plain,
cong(sK21,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_36947,c_71]) ).
tcf(c_40113,plain,
cong(sK20,sK22,sK22,sK22),
inference(superposition,[status(thm)],[c_38314,c_72]) ).
tcf(c_40611,plain,
cong(sK20,sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_39532,c_72]) ).
tcf(c_41064,plain,
! [X0: $i] :
( perp(sK20,sK22,X0,sK22)
| ~ midp(X0,sK20,sK24) ),
inference(superposition,[status(thm)],[c_40113,c_7713]) ).
tcf(c_41133,plain,
! [X0: $i] :
( perp(sK20,sK21,X0,sK21)
| ~ midp(X0,sK20,sK25) ),
inference(superposition,[status(thm)],[c_40611,c_7714]) ).
tcf(c_42421,plain,
cong(sK20,sK22,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_14412,c_8912,c_19090,c_20893,c_36447,c_38806]) ).
tcf(c_42430,plain,
! [X0: $i] :
( circle(sK20,sK22,X0,sK22)
| ~ cong(sK20,sK22,sK20,X0) ),
inference(superposition,[status(thm)],[c_42421,c_60]) ).
tcf(c_42438,plain,
cong(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_42421,c_71]) ).
tcf(c_42514,plain,
( circle(sK20,sK22,sK20,sK22)
| ~ cong(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_42430]) ).
tcf(c_42544,plain,
cong(sK20,sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_14516,c_7555,c_17937,c_21391,c_36742,c_39299]) ).
tcf(c_42553,plain,
! [X0: $i] :
( circle(sK20,sK21,X0,sK21)
| ~ cong(sK20,sK21,sK20,X0) ),
inference(superposition,[status(thm)],[c_42544,c_60]) ).
tcf(c_42561,plain,
cong(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_42544,c_71]) ).
tcf(c_42637,plain,
( circle(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_42553]) ).
tcf(c_43162,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK22,X0,X1)
| ~ cong(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_42438,c_73]) ).
tcf(c_43163,plain,
cong(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_42438,c_72]) ).
tcf(c_43167,plain,
( cong(sK20,sK22,sK20,sK20)
| ~ cong(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_43162]) ).
tcf(c_43168,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK21,X0,X1)
| ~ cong(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_42561,c_73]) ).
tcf(c_43169,plain,
cong(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_42561,c_72]) ).
tcf(c_43173,plain,
( cong(sK20,sK21,sK20,sK20)
| ~ cong(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_43168]) ).
tcf(c_43543,plain,
cong(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_43163,c_71]) ).
tcf(c_43552,plain,
cong(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_43169,c_71]) ).
tcf(c_43576,plain,
( midp(sK22,sK20,sK20)
| ~ coll(sK22,sK20,sK20) ),
inference(superposition,[status(thm)],[c_43543,c_116]) ).
tcf(c_43589,plain,
( cong(sK20,sK20,sK22,sK20)
| ~ midp(sK20,sK20,sK24) ),
inference(superposition,[status(thm)],[c_43543,c_7665]) ).
tcf(c_43590,plain,
midp(sK22,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_43576,c_21441]) ).
tcf(c_44107,plain,
( midp(sK21,sK20,sK20)
| ~ coll(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_43552,c_116]) ).
tcf(c_44120,plain,
( cong(sK20,sK20,sK21,sK20)
| ~ midp(sK20,sK20,sK25) ),
inference(superposition,[status(thm)],[c_43552,c_7666]) ).
tcf(c_44121,plain,
midp(sK21,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_44107,c_21523]) ).
tcf(c_44874,plain,
! [X0: $i] :
( cong(sK20,X0,sK22,X0)
| ~ midp(sK22,sK20,sK24)
| ~ midp(X0,sK20,sK22) ),
inference(superposition,[status(thm)],[c_41064,c_101]) ).
tcf(c_44905,plain,
( cong(sK20,sK20,sK22,sK20)
| ~ midp(sK22,sK20,sK24)
| ~ midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_44874]) ).
tcf(c_44942,plain,
! [X0: $i] :
( cong(sK20,X0,sK21,X0)
| ~ midp(sK21,sK20,sK25)
| ~ midp(X0,sK20,sK21) ),
inference(superposition,[status(thm)],[c_41133,c_101]) ).
tcf(c_44973,plain,
( cong(sK20,sK20,sK21,sK20)
| ~ midp(sK21,sK20,sK25)
| ~ midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_44942]) ).
tcf(c_46144,plain,
cong(sK20,sK20,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_43589,c_8912,c_10906,c_14852,c_19090,c_20756,c_20893,c_36447,c_43590,c_44905]) ).
tcf(c_46147,plain,
cong(sK22,sK20,sK20,sK20),
inference(superposition,[status(thm)],[c_46144,c_72]) ).
tcf(c_46158,plain,
cong(sK20,sK20,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_44120,c_7555,c_11358,c_14860,c_17937,c_20796,c_21391,c_36742,c_44121,c_44973]) ).
tcf(c_46161,plain,
cong(sK21,sK20,sK20,sK20),
inference(superposition,[status(thm)],[c_46158,c_72]) ).
tcf(c_47246,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK20,sK25)
| ~ cong(sK20,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_47247,plain,
( cong(sK20,sK20,sK20,sK25)
| ~ cong(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_47246]) ).
tcf(c_50031,plain,
para(sK22,sK24,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_11020,c_10114,c_42514,c_43167,c_46147]) ).
tcf(c_50033,plain,
! [X0: $i] :
( midp(X0,sK24,sK22)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK24) ),
inference(superposition,[status(thm)],[c_50031,c_113]) ).
tcf(c_50037,plain,
para(sK22,sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_50031,c_53]) ).
tcf(c_50047,plain,
! [X0: $i] :
( midp(X0,sK24,sK22)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50033,c_50037]) ).
tcf(c_50050,plain,
( midp(sK20,sK24,sK22)
| ~ midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_50047]) ).
tcf(c_50087,plain,
para(sK21,sK25,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_11169,c_10163,c_42637,c_43173,c_46161]) ).
tcf(c_50089,plain,
! [X0: $i] :
( midp(X0,sK25,sK21)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_50087,c_113]) ).
tcf(c_50093,plain,
para(sK21,sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_50087,c_53]) ).
tcf(c_50103,plain,
! [X0: $i] :
( midp(X0,sK25,sK21)
| ~ midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50089,c_50093]) ).
tcf(c_50106,plain,
( midp(sK20,sK25,sK21)
| ~ midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_50103]) ).
tcf(c_54742,plain,
( cong(sK20,sK22,sK20,sK24)
| ~ midp(sK22,sK22,sK24) ),
inference(superposition,[status(thm)],[c_4831,c_104]) ).
tcf(c_54743,plain,
( cong(sK20,sK21,sK20,sK25)
| ~ midp(sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_4830,c_104]) ).
tcf(c_54914,plain,
cong(sK20,sK22,sK20,sK24),
inference(global_subsumption_just,[status(thm)],[c_54742,c_175,c_9045,c_10432,c_11736,c_13058,c_17024,c_19136,c_21501,c_21511,c_22019,c_24819,c_29055,c_50050]) ).
tcf(c_54917,plain,
cong(sK20,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_54914,c_72]) ).
tcf(c_54921,plain,
cong(sK20,sK21,sK20,sK25),
inference(global_subsumption_just,[status(thm)],[c_54743,c_175,c_9045,c_10433,c_11736,c_13058,c_17024,c_19136,c_21501,c_21511,c_22019,c_24818,c_29054,c_50106]) ).
tcf(c_54924,plain,
cong(sK20,sK25,sK20,sK21),
inference(superposition,[status(thm)],[c_54921,c_72]) ).
tcf(c_55220,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK24,X0,X1)
| ~ cong(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_54917,c_73]) ).
tcf(c_55229,plain,
( cong(sK20,sK24,sK20,sK20)
| ~ cong(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_55220]) ).
tcf(c_55238,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK25,X0,X1)
| ~ cong(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_54924,c_73]) ).
tcf(c_55247,plain,
( cong(sK20,sK25,sK20,sK20)
| ~ cong(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_55238]) ).
tcf(c_55248,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_55247,c_55229,c_47247,c_46161,c_46147,c_43173,c_43167,c_36831,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO591+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n013.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 12:29:21 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 26.21/4.28 % SZS status Started for theBenchmark.p
% 26.21/4.28 % SZS status Theorem for theBenchmark.p
% 26.21/4.28
% 26.21/4.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 26.21/4.28
% 26.21/4.28 % ------ iProver source info
% 26.21/4.28
% 26.21/4.28 % git: date: 2026-07-19 20:42:38 +0200
% 26.21/4.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 26.21/4.28 % git: non_committed_changes: false
% 26.21/4.28
% 26.21/4.28 % ------ Parsing...
% 26.21/4.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 26.21/4.28
% 26.21/4.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 26.21/4.28
% 26.21/4.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 26.21/4.28
% 26.21/4.28 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 26.21/4.28 % ------ Proving...
% 26.21/4.28 % ------ Problem Properties
% 26.21/4.28
% 26.21/4.28 %
% 26.21/4.28 % clauses 120
% 26.21/4.28 % conjectures 8
% 26.21/4.28 % EPR 83
% 26.21/4.28 % Horn 110
% 26.21/4.28 % unary 8
% 26.21/4.28 % binary 37
% 26.21/4.28 % lits 336
% 26.21/4.28 % lits eq 4
% 26.21/4.28 % fd_pure 0
% 26.21/4.28 % fd_pseudo 0
% 26.21/4.28 % fd_cond 0
% 26.21/4.28 % fd_pseudo_cond 4
% 26.21/4.28 % AC symbols 0
% 26.21/4.28
% 26.21/4.28 % ------ Schedule dynamic 5 is on
% 26.21/4.28
% 26.21/4.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 26.21/4.28
% 26.21/4.28
% 26.21/4.28 % ------
% 26.21/4.28 % Current options:
% 26.21/4.28 % ------
% 26.21/4.28
% 26.21/4.28
% 26.21/4.28 %
% 26.21/4.28
% 26.21/4.28 % ------ Proving...
% 26.21/4.28 %
% 26.21/4.28
% 26.21/4.28 % SZS status Theorem for theBenchmark.p
% 26.21/4.28
% 26.21/4.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 26.21/4.28
% 26.21/4.28
%------------------------------------------------------------------------------