%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO644+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 : n003.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 01:21:44 PM UTC 2026
% Result : Theorem 27.17s 11.54s
% Output : CNFRefutation 27.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of formulae : 232 ( 14 unt; 0 def)
% Number of atoms : 640 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 740 ( 332 ~; 326 |; 56 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 759 ( 0 sgn 743 !; 16 ?; 256 :)
% 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(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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD29) ).
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(f51,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
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(f58,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X1,X3)
& coll(X4,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD65) ).
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(f71,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) )
=> cong(X0,X6,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0061) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3) )
=> cong(X0,X6,X6,X7) ),
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(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(f117,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f120]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f29]) ).
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(f168,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(ennf_transformation,[],[f51]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(flattening,[],[f168]) ).
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(f182,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(flattening,[],[f182]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(flattening,[],[f195]) ).
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(f202,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
inference(ennf_transformation,[],[f71]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
inference(flattening,[],[f202]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(flattening,[],[f212]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3)
& ~ cong(X0,X6,X6,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X7,X0,X2)
& coll(X7,X1,X4)
& coll(X6,X3,X5)
& coll(X6,X0,X2)
& midp(X5,X1,X0)
& midp(X4,X2,X3)
& para(X0,X1,X2,X3)
& para(X1,X2,X0,X3)
& ~ cong(X0,X6,X6,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK27,sK20,sK22)
& coll(sK27,sK21,sK24)
& coll(sK26,sK23,sK25)
& coll(sK26,sK20,sK22)
& midp(sK25,sK21,sK20)
& midp(sK24,sK22,sK23)
& para(sK20,sK21,sK22,sK23)
& para(sK21,sK22,sK20,sK23)
& ~ cong(sK20,sK26,sK26,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[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(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(f284,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f135]) ).
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(f321,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(cnf_transformation,[],[f169]) ).
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(f328,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[],[f196]) ).
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(f341,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f213]) ).
fof(f384,plain,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
para(sK21,sK22,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ cong(sK20,sK26,sK26,sK27),
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_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_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f299]) ).
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_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X0,X2,X0,X4)
| ~ midp(X4,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
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_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f336]) ).
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_119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqratio(X0,X1,X1,X2,X3,X4,X4,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f341]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_162,negated_conjecture,
~ cong(sK20,sK26,sK26,sK27),
inference(cnf_transformation,[],[f392]) ).
tcf(c_163,negated_conjecture,
para(sK21,sK22,sK20,sK23),
inference(cnf_transformation,[],[f391]) ).
tcf(c_167,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f387]) ).
tcf(c_170,negated_conjecture,
coll(sK27,sK20,sK22),
inference(cnf_transformation,[],[f384]) ).
tcf(c_173,plain,
( coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_176,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_181,plain,
( para(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_186,plain,
( circle(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_201,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_234,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_2358,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK22,X0,X1,sK20,sK23,X0,X1)
| ~ para(sK21,sK22,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_2361,plain,
( eqangle(sK21,sK22,sK20,sK20,sK20,sK23,sK20,sK20)
| ~ para(sK21,sK22,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_2358]) ).
tcf(c_2404,plain,
( coll(sK26,sK22,sK20)
| ~ coll(sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2432,plain,
( coll(sK20,sK27,sK22)
| ~ coll(sK27,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_2433,plain,
( coll(sK27,sK22,sK20)
| ~ coll(sK27,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2504,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK22,sK20,sK23,X0,X1,X0,X1)
| ~ eqangle(sK21,sK22,X0,X1,sK20,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_2513,plain,
( eqangle(sK21,sK22,sK20,sK23,sK20,sK20,sK20,sK20)
| ~ eqangle(sK21,sK22,sK20,sK20,sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2504]) ).
tcf(c_2845,plain,
! [X0: $i] :
( coll(X0,sK20,sK26)
| ~ coll(sK26,sK22,sK20)
| ~ coll(sK26,sK22,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2846,plain,
( coll(sK20,sK20,sK26)
| ~ coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_2845]) ).
tcf(c_2897,plain,
! [X0: $i] :
( coll(X0,sK22,sK20)
| ~ coll(sK20,sK27,sK22)
| ~ coll(sK20,sK27,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2898,plain,
( coll(sK20,sK22,sK20)
| ~ coll(sK20,sK27,sK22)
| ~ coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_2897]) ).
tcf(c_2906,plain,
! [X0: $i] :
( coll(X0,sK20,sK27)
| ~ coll(sK27,sK22,sK20)
| ~ coll(sK27,sK22,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2907,plain,
( coll(sK20,sK20,sK27)
| ~ coll(sK27,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_2906]) ).
tcf(c_3101,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK21,sK22,sK20,sK23)
| ~ eqangle(sK21,sK22,sK20,sK23,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_3107,plain,
( eqangle(sK20,sK20,sK20,sK20,sK21,sK22,sK20,sK23)
| ~ eqangle(sK21,sK22,sK20,sK23,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3101]) ).
tcf(c_3109,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ eqangle(sK21,sK22,sK20,sK23,X4,X5,X4,X5)
| ~ eqangle(X0,X1,X2,X3,sK21,sK22,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_3110,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK21,sK22,sK20,sK23,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK21,sK22,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_3109]) ).
tcf(c_3207,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_170,c_50]) ).
tcf(c_3409,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(sK20,sK26,sK26,sK27)
| ~ cong(X0,X1,X2,X3)
| ~ eqratio(sK20,sK26,sK26,sK27,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_3410,plain,
( cong(sK20,sK26,sK26,sK27)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ eqratio(sK20,sK26,sK26,sK27,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3409]) ).
tcf(c_3465,plain,
! [X0: $i] :
( cyclic(sK20,sK26,X0,sK27)
| ~ cyclic(sK20,X0,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_3466,plain,
( cyclic(sK20,sK26,sK20,sK27)
| ~ cyclic(sK20,sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_3465]) ).
tcf(c_3492,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqratio(sK20,sK26,sK26,sK27,X0,X1,X1,X2)
| ~ midp(sK20,sK26,sK27)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_3493,plain,
( eqratio(sK20,sK26,sK26,sK27,sK20,sK20,sK20,sK20)
| ~ midp(sK20,sK26,sK27)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3492]) ).
tcf(c_3533,plain,
! [X0: $i] :
( midp(sK26,sK20,X0)
| ~ coll(sK26,sK20,X0)
| ~ cong(sK26,sK20,sK26,X0) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_3534,plain,
( midp(sK26,sK20,sK20)
| ~ coll(sK26,sK20,sK20)
| ~ cong(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_3533]) ).
tcf(c_3616,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X2,X1,sK27)
| ~ cyclic(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_3622,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X3,sK27)
| ~ cyclic(X0,X1,X2,sK27)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_3623,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,sK27)
| ~ coll(X0,sK27,X2)
| ~ eqangle(X0,X1,X0,X2,sK27,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_3626,plain,
( cyclic(sK20,sK20,sK20,sK27)
| ~ coll(sK20,sK27,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_3623]) ).
tcf(c_3631,plain,
! [X0: $i,X1: $i] :
( midp(sK27,X0,X1)
| ~ coll(sK27,X0,X1)
| ~ cong(sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_3632,plain,
( midp(sK27,sK20,sK20)
| ~ coll(sK27,sK20,sK20)
| ~ cong(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_3631]) ).
tcf(c_3759,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,sK26,X0,X1)
| ~ coll(X0,X1,sK26)
| ~ eqangle(X0,sK20,X0,sK26,X1,sK20,X1,sK26) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_3762,plain,
( cyclic(sK20,sK26,sK20,sK20)
| ~ coll(sK20,sK20,sK26)
| ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_3759]) ).
tcf(c_3765,plain,
coll(sK20,sK22,sK27),
inference(superposition,[status(thm)],[c_3207,c_49]) ).
tcf(c_3951,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK20,sK26,X2,sK27)
| ~ cyclic(sK20,sK26,X0,sK27)
| ~ cyclic(sK20,sK26,X0,X2)
| ~ cyclic(sK20,sK26,X0,X1)
| ~ eqangle(X0,sK20,X0,sK26,X1,X2,X1,sK27) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_3952,plain,
( cong(sK20,sK26,sK20,sK27)
| ~ cyclic(sK20,sK26,sK20,sK27)
| ~ cyclic(sK20,sK26,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_3951]) ).
tcf(c_3984,plain,
( midp(sK20,sK26,sK27)
| ~ coll(sK20,sK26,sK27)
| ~ cong(sK20,sK26,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_4087,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(sK26,sK20,sK26,X0)
| ~ cong(X1,X2,X3,X4)
| ~ eqratio(sK26,sK20,sK26,X0,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_4088,plain,
( cong(sK26,sK20,sK26,sK20)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ eqratio(sK26,sK20,sK26,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4087]) ).
tcf(c_4171,plain,
! [X0: $i] :
( eqangle(X0,sK20,X0,sK26,X0,sK20,X0,sK26)
| ~ para(X0,sK20,X0,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4173,plain,
( eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4171]) ).
tcf(c_4178,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X1,sK20,X1,X2,X0,sK20,X0,sK26)
| ~ midp(sK26,sK20,X2)
| ~ circle(X0,X1,sK20,X2) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_4179,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK26)
| ~ midp(sK26,sK20,sK20)
| ~ circle(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4178]) ).
tcf(c_4286,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X2,X1,sK27)
| ~ cyclic(X1,X2,X0,sK27)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X1)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,sK27) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_4305,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,X2,sK27,X1,sK27,X2)
| ~ eqangle(X0,X1,sK27,X1,X0,X2,sK27,X2) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_4306,plain,
( eqangle(sK20,sK20,sK20,sK20,sK27,sK20,sK27,sK20)
| ~ eqangle(sK20,sK20,sK27,sK20,sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_4305]) ).
tcf(c_4308,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK27,sK27)
| ~ coll(sK27,sK27,X1)
| ~ eqangle(sK27,X0,sK27,X1,sK27,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_3623]) ).
tcf(c_4309,plain,
! [X0: $i,X1: $i] :
( eqangle(sK27,X0,sK27,X1,sK27,X0,sK27,X1)
| ~ para(sK27,X0,sK27,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4310,plain,
( cyclic(sK20,sK20,sK27,sK27)
| ~ coll(sK27,sK27,sK20)
| ~ eqangle(sK27,sK20,sK27,sK20,sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_4308]) ).
tcf(c_4311,plain,
( eqangle(sK27,sK20,sK27,sK20,sK27,sK20,sK27,sK20)
| ~ para(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_4309]) ).
tcf(c_4361,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK27,X1,sK27,X2)
| ~ midp(X0,X1,X2)
| ~ perp(sK27,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_4362,plain,
( cong(sK27,sK20,sK27,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4361]) ).
tcf(c_4437,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK27,X0,X1,X0,sK27)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4439,plain,
( eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4437]) ).
tcf(c_4445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X1,X2,X1,X3,X0,X2,X0,sK27)
| ~ midp(sK27,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_4446,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK27)
| ~ midp(sK27,sK20,sK20)
| ~ circle(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4445]) ).
tcf(c_4571,plain,
! [X0: $i] :
( coll(sK27,X0,sK26)
| ~ coll(sK27,sK26,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_4572,plain,
( coll(sK27,sK20,sK26)
| ~ coll(sK27,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_4571]) ).
tcf(c_4604,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK27,sK20,sK27,sK20)
| ~ para(X0,X1,X2,X3)
| ~ eqangle(sK27,sK20,sK27,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_4605,plain,
( para(sK27,sK20,sK27,sK20)
| ~ para(sK20,sK20,sK20,sK20)
| ~ eqangle(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4604]) ).
tcf(c_5018,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK27,X2)
| ~ cyclic(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_5019,plain,
( cyclic(sK20,sK20,sK27,sK20)
| ~ cyclic(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_5018]) ).
tcf(c_5074,plain,
! [X0: $i] :
( coll(sK20,sK26,sK27)
| ~ coll(sK27,X0,sK26)
| ~ coll(sK27,X0,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_5075,plain,
( coll(sK20,sK26,sK27)
| ~ coll(sK27,sK20,sK26)
| ~ coll(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5074]) ).
tcf(c_5281,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK26)
| ~ cyclic(X0,X1,sK26,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_5282,plain,
( cyclic(sK20,sK20,sK20,sK26)
| ~ cyclic(sK20,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_5281]) ).
tcf(c_5955,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,X0,sK26,X1)
| ~ cyclic(sK20,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_5956,plain,
( cyclic(sK20,sK20,sK26,sK20)
| ~ cyclic(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5955]) ).
tcf(c_6662,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqratio(sK26,sK20,sK26,X2,X0,X1,X3,X4)
| ~ eqratio(sK26,sK20,X0,X1,sK26,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_6663,plain,
( eqratio(sK26,sK20,sK26,sK20,sK20,sK20,sK20,sK20)
| ~ eqratio(sK26,sK20,sK20,sK20,sK26,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6662]) ).
tcf(c_6776,plain,
! [X0: $i,X1: $i] :
( coll(sK26,X1,sK20)
| ~ coll(sK20,X0,sK26)
| ~ coll(sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_6777,plain,
( coll(sK26,sK20,sK20)
| ~ coll(sK20,sK20,sK26)
| ~ coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6776]) ).
tcf(c_6968,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X2,sK20,X2,sK26,X0,sK20,X0,X1)
| ~ eqangle(X0,sK20,X0,X1,X2,sK20,X2,sK26) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_6969,plain,
( eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_6968]) ).
tcf(c_7607,plain,
! [X0: $i] :
( coll(sK27,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_3765,c_51]) ).
tcf(c_7644,plain,
( coll(sK27,sK20,sK20)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_7607]) ).
tcf(c_7752,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK27,X0,sK27)
| ~ cyclic(X0,sK27,X0,sK27)
| ~ cyclic(X0,sK27,X0,X1)
| ~ cyclic(X0,sK27,X0,X0)
| ~ eqangle(X0,X0,X0,sK27,X1,X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_4286]) ).
tcf(c_7754,plain,
( cong(sK20,sK27,sK20,sK27)
| ~ cyclic(sK20,sK27,sK20,sK27)
| ~ cyclic(sK20,sK27,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_7752]) ).
tcf(c_8079,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK27,X1,sK27,X2,X0,X1,X0,X2)
| ~ eqangle(X0,X1,X0,X2,sK27,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_8080,plain,
( eqangle(sK27,sK20,sK27,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_8079]) ).
tcf(c_8107,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK27,X1,X0,X1,sK27,X1)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_8108,plain,
( eqangle(sK20,sK20,sK27,sK20,sK20,sK20,sK27,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8107]) ).
tcf(c_8336,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK27,X0,X0,X1)
| ~ cong(X0,sK27,X2,sK27)
| ~ cyclic(X0,X2,sK27,X1)
| ~ cong(X0,X1,X2,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_8337,plain,
( perp(sK27,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK27,sK20)
| ~ cong(sK20,sK27,sK20,sK27)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8336]) ).
tcf(c_8658,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK27,X1)
| ~ coll(X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_8659,plain,
( coll(sK20,sK27,sK20)
| ~ coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_8658]) ).
tcf(c_8866,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK27,X0,X1)
| ~ cyclic(X0,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_8867,plain,
( cyclic(sK20,sK27,sK20,sK20)
| ~ cyclic(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_8866]) ).
tcf(c_9130,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,X1,sK26,sK27)
| ~ cyclic(X0,sK20,X1,sK27)
| ~ cyclic(X0,sK20,X1,sK26) ),
inference(instantiation,[status(thm)],[c_3622]) ).
tcf(c_9131,plain,
( cyclic(sK20,sK20,sK26,sK27)
| ~ cyclic(sK20,sK20,sK20,sK27)
| ~ cyclic(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_9130]) ).
tcf(c_9886,plain,
! [X0: $i,X1: $i] :
( coll(sK27,sK26,X0)
| ~ coll(X0,X1,sK27)
| ~ coll(X0,X1,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_9887,plain,
( coll(sK27,sK26,sK20)
| ~ coll(sK20,sK20,sK27)
| ~ coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_9886]) ).
tcf(c_12074,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X2,sK26,X0,X7,X2,sK27)
| ~ eqangle(X3,X4,X5,X6,X0,X7,X2,sK27)
| ~ eqangle(X0,X1,X2,sK26,X3,X4,X5,X6) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_12075,plain,
( eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK27)
| ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_12074]) ).
tcf(c_12217,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqratio(sK26,sK20,sK20,X1,sK26,X0,X0,X2)
| ~ coll(sK26,sK20,X1)
| ~ coll(sK26,X0,X2)
| ~ para(sK20,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_12218,plain,
( eqratio(sK26,sK20,sK20,sK20,sK26,sK20,sK20,sK20)
| ~ coll(sK26,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12217]) ).
tcf(c_16583,plain,
coll(sK20,sK27,sK22),
inference(superposition,[status(thm)],[c_170,c_50]) ).
tcf(c_17365,plain,
coll(sK20,sK22,sK27),
inference(superposition,[status(thm)],[c_16583,c_49]) ).
tcf(c_19475,plain,
coll(sK27,sK27,sK20),
inference(superposition,[status(thm)],[c_17365,c_7607]) ).
tcf(c_22158,plain,
! [X0: $i] :
( cyclic(X0,sK27,X0,sK27)
| ~ cyclic(X0,X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_3616]) ).
tcf(c_22159,plain,
( cyclic(sK20,sK27,sK20,sK27)
| ~ cyclic(sK20,sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_22158]) ).
tcf(c_22160,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_22159,c_19475,c_12218,c_12075,c_9887,c_9131,c_8867,c_8659,c_8337,c_8108,c_8080,c_7754,c_7644,c_6969,c_6777,c_6663,c_5956,c_5282,c_5075,c_5019,c_4605,c_4572,c_4446,c_4439,c_4362,c_4311,c_4310,c_4306,c_4179,c_4173,c_4088,c_3984,c_3952,c_3762,c_3632,c_3626,c_3534,c_3493,c_3466,c_3410,c_3110,c_3107,c_2907,c_2898,c_2846,c_2513,c_2432,c_2433,c_2404,c_2361,c_234,c_201,c_186,c_181,c_176,c_173,c_162,c_163,c_167,c_170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO644+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.58 % Computer : n003.cluster.edu
% 0.10/5.58 % Model : x86_64 x86_64
% 0.10/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.58 % Memory : 8046.5625MB
% 0.10/5.58 % OS : Linux 6.8.0-71-generic
% 0.10/5.58 % CPULimit : 300
% 0.10/5.58 % WCLimit : 300
% 0.10/5.58 % DateTime : Wed Sep 23 12:40:55 UTC 2026
% 0.10/5.58 % CPUTime :
% 0.10/5.58 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.61 Running first-order theorem proving
% 0.14/5.61 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
% 0.14/5.63
% 0.14/5.63 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.63
% 0.14/5.63 % Detected problem language: tptp
% 0.14/5.64 % Proving...
% 27.17/11.54 % SZS status Started for theBenchmark.p
% 27.17/11.54 % SZS status Theorem for theBenchmark.p
% 27.17/11.54
% 27.17/11.54 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 27.17/11.54
% 27.17/11.54 % ------ iProver source info
% 27.17/11.54
% 27.17/11.54 % git: date: 2026-07-19 20:42:38 +0200
% 27.17/11.54 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 27.17/11.54 % git: non_committed_changes: false
% 27.17/11.54
% 27.17/11.54 % ------ Parsing...
% 27.17/11.54 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 27.17/11.54
% 27.17/11.54 % ------ Preprocessing...%
% 27.17/11.54
% 27.17/11.54 % ------ Preprocessing...%
% 27.17/11.54
% 27.17/11.54 % ------ Preprocessing...
% 27.17/11.54 % ------ Proving...
% 27.17/11.54 % ------ Problem Properties
% 27.17/11.54
% 27.17/11.54 %
% 27.17/11.54 % clauses 121
% 27.17/11.54 % conjectures 9
% 27.17/11.54 % EPR 84
% 27.17/11.54 % Horn 111
% 27.17/11.54 % unary 9
% 27.17/11.54 % binary 37
% 27.17/11.54 % lits 337
% 27.17/11.54 % lits eq 4
% 27.17/11.54 % fd_pure 0
% 27.17/11.54 % fd_pseudo 0
% 27.17/11.54 % fd_cond 0
% 27.17/11.54 % fd_pseudo_cond 4
% 27.17/11.54 % AC symbols 0
% 27.17/11.54
% 27.17/11.54 % ------ Input Options Time Limit: Unbounded
% 27.17/11.54
% 27.17/11.54
% 27.17/11.54 % ------
% 27.17/11.54 % Current options:
% 27.17/11.54 % ------
% 27.17/11.54
% 27.17/11.54
% 27.17/11.54 %
% 27.17/11.54
% 27.17/11.54 % ------ Proving...
% 27.17/11.54 %
% 27.17/11.54
% 27.17/11.54 % SZS status Theorem for theBenchmark.p
% 27.17/11.54
% 27.17/11.54 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.17/11.55
% 27.17/11.55
%------------------------------------------------------------------------------