%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO578+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:32 PM UTC 2026
% Result : Theorem 1.42s 1.75s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 203 ( 20 unt; 0 def)
% Number of atoms : 520 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 578 ( 261 ~; 255 |; 37 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 688 ( 0 sgn 678 !; 10 ?; 226 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f26,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD26) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD65) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X0,X1,X4,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> cong(X4,X3,X4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214040) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X0,X1,X4,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> cong(X4,X3,X4,X0) ),
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(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(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
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(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(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(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(f132,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f26]) ).
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(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
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(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] :
( coll(X4,X0,X2)
& para(X0,X1,X4,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ cong(X4,X3,X4,X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4] :
( coll(X4,X0,X2)
& para(X0,X1,X4,X3)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ cong(X4,X3,X4,X0) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK24,sK20,sK22)
& para(sK20,sK21,sK24,sK23)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
& ~ cong(sK24,sK23,sK24,sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
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(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
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(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(f296,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f132]) ).
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(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
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(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(sK24,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
para(sK20,sK21,sK24,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ cong(sK24,sK23,sK24,sK20),
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_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_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_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_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f289]) ).
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_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_74,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqratio(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f296]) ).
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_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
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_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(sK24,sK23,sK24,sK20),
inference(cnf_transformation,[],[f389]) ).
tcf(c_163,negated_conjecture,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_166,negated_conjecture,
para(sK20,sK21,sK24,sK23),
inference(cnf_transformation,[],[f385]) ).
tcf(c_167,negated_conjecture,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f384]) ).
tcf(c_170,plain,
( coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_173,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_177,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_183,plain,
( circle(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_198,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_231,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_4519,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,X0,X1,sK24,sK23,X0,X1)
| ~ para(sK20,sK21,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4522,plain,
( eqangle(sK20,sK21,sK20,sK20,sK24,sK23,sK20,sK20)
| ~ para(sK20,sK21,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_4519]) ).
tcf(c_4525,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK20,sK21,sK24,sK23)
| ~ eqangle(X0,X1,X2,X3,sK20,sK21,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_4526,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK21,sK24,sK23)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_4525]) ).
tcf(c_4531,plain,
( coll(sK24,sK22,sK20)
| ~ coll(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_4579,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,sK24,sK23,X0,X1,X0,X1)
| ~ eqangle(sK20,sK21,X0,X1,sK24,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_4586,plain,
( eqangle(sK20,sK21,sK24,sK23,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK20,sK20,sK24,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4579]) ).
tcf(c_4637,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(sK24,sK23,sK24,sK20)
| ~ cong(X0,X1,X2,X3)
| ~ eqratio(sK24,sK23,sK24,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_4638,plain,
( cong(sK24,sK23,sK24,sK20)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ eqratio(sK24,sK23,sK24,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4637]) ).
tcf(c_4730,plain,
! [X0: $i,X1: $i] :
( coll(sK24,sK20,X0)
| ~ coll(X0,X1,sK20)
| ~ coll(X0,X1,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_4731,plain,
( coll(sK24,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_4730]) ).
tcf(c_4774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK20,sK21,sK24,sK23)
| ~ eqangle(sK20,sK21,sK24,sK23,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_4775,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK24,sK23)
| ~ eqangle(sK20,sK21,sK24,sK23,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4774]) ).
tcf(c_4798,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqratio(sK24,sK23,sK24,sK20,X0,X1,X2,X3)
| ~ eqratio(sK23,sK24,sK24,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_4799,plain,
( eqratio(sK24,sK23,sK24,sK20,sK20,sK20,sK20,sK20)
| ~ eqratio(sK23,sK24,sK24,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4798]) ).
tcf(c_4810,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,sK24,sK20)
| ~ cong(X2,X3,X4,X5)
| ~ eqratio(X0,X1,sK24,sK20,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_4812,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK24,sK20)
| ~ cong(X0,X1,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_4813,plain,
( cong(sK20,sK20,sK24,sK20)
| ~ cong(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_4812]) ).
tcf(c_4942,plain,
! [X0: $i,X1: $i] :
( eqratio(sK24,sK23,sK24,sK20,sK23,X0,X0,X1)
| ~ eqratio(sK23,sK24,sK24,sK20,sK23,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_4798]) ).
tcf(c_4943,plain,
( eqratio(sK24,sK23,sK24,sK20,sK23,sK20,sK20,sK20)
| ~ eqratio(sK23,sK24,sK24,sK20,sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4942]) ).
tcf(c_4944,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqratio(sK23,sK24,sK24,sK20,X0,X1,X1,X2)
| ~ midp(sK23,sK24,sK20)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_4945,plain,
( eqratio(sK23,sK24,sK24,sK20,sK20,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ midp(sK23,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_4944]) ).
tcf(c_4973,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqratio(sK24,sK23,X0,X1,sK24,sK20,X2,X3)
| ~ eqratio(sK24,sK23,sK24,sK20,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_5004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqratio(X0,X1,sK24,sK20,X2,X3,X4,X5)
| ~ eqratio(X0,X1,X2,X3,sK24,sK20,X4,X5) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_5007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(sK24,X0,sK24,sK20)
| ~ cong(X1,X2,X1,X3)
| ~ eqratio(sK24,X0,sK24,sK20,X1,X2,X1,X3) ),
inference(instantiation,[status(thm)],[c_4810]) ).
tcf(c_5008,plain,
( cong(sK24,sK20,sK24,sK20)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ eqratio(sK24,sK20,sK24,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5007]) ).
tcf(c_5020,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X2,sK20,sK24)
| ~ cyclic(X1,X2,X0,sK20)
| ~ cyclic(X1,X2,X0,sK24)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,sK20,X3,sK24) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_5021,plain,
( cong(sK20,sK20,sK20,sK24)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK24)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_5020]) ).
tcf(c_5035,plain,
! [X0: $i,X1: $i] :
( cong(sK24,sK20,X0,X1)
| ~ cong(X0,X1,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_5036,plain,
( cong(sK24,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_5035]) ).
tcf(c_5066,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,sK24)
| ~ coll(X0,sK24,X2)
| ~ eqangle(X0,X1,X0,X2,sK24,X1,sK24,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_5069,plain,
( cyclic(sK20,sK20,sK20,sK24)
| ~ coll(sK20,sK24,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_5066]) ).
tcf(c_5073,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(sK24,sK23,X0,sK20)
| ~ cong(X1,X2,X3,X4)
| ~ eqratio(sK24,sK23,X0,sK20,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_5116,plain,
! [X0: $i] :
( cong(X0,sK24,X0,sK20)
| ~ cong(X0,sK20,X0,sK24) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_5342,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK24,sK23)
| ~ cong(sK24,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_5407,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_5458,plain,
! [X0: $i,X1: $i,X2: $i] :
( circle(sK24,X0,X2,X1)
| ~ cong(sK24,X0,sK24,X2)
| ~ cong(sK24,X0,sK24,X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_5459,plain,
( circle(sK24,sK20,sK20,sK20)
| ~ cong(sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_5458]) ).
tcf(c_5649,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(superposition,[status(thm)],[c_5407,c_51]) ).
tcf(c_5655,plain,
( coll(sK20,sK20,sK24)
| ~ coll(sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_5649]) ).
tcf(c_5753,plain,
! [X0: $i,X1: $i] :
( eqratio(sK23,sK24,sK24,sK20,sK23,X0,X0,X1)
| ~ coll(sK23,sK24,sK20)
| ~ coll(sK23,X0,X1)
| ~ para(sK24,X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_5754,plain,
( eqratio(sK23,sK24,sK24,sK20,sK23,sK20,sK20,sK20)
| ~ coll(sK23,sK20,sK20)
| ~ coll(sK23,sK24,sK20)
| ~ para(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5753]) ).
tcf(c_5760,plain,
( midp(sK23,sK24,sK20)
| ~ coll(sK23,sK24,sK20)
| ~ cong(sK23,sK24,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_5770,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_5407,c_5649]) ).
tcf(c_5786,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_5770,c_49]) ).
tcf(c_5959,plain,
! [X0: $i] :
( midp(sK24,X0,sK20)
| ~ coll(sK24,X0,sK20)
| ~ cong(sK24,X0,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_5960,plain,
( midp(sK24,sK20,sK20)
| ~ coll(sK24,sK20,sK20)
| ~ cong(sK24,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_5959]) ).
tcf(c_6095,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqratio(sK24,X0,sK24,sK20,X0,X1,sK20,X2)
| ~ eqratio(sK24,X0,X0,X1,sK24,sK20,sK20,X2) ),
inference(instantiation,[status(thm)],[c_5004]) ).
tcf(c_6096,plain,
( eqratio(sK24,sK20,sK24,sK20,sK20,sK20,sK20,sK20)
| ~ eqratio(sK24,sK20,sK20,sK20,sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6095]) ).
tcf(c_6430,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK24)
| ~ cong(X0,X1,sK24,X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_6499,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,X2,sK24,X1,sK24,X2)
| ~ midp(X2,X1,X2)
| ~ circle(sK24,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_6500,plain,
( eqangle(sK20,sK20,sK20,sK20,sK24,sK20,sK24,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ circle(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6499]) ).
tcf(c_6543,plain,
! [X0: $i,X1: $i] :
( cong(sK24,sK23,sK23,sK20)
| ~ cong(sK24,X0,X0,X1)
| ~ eqratio(sK24,sK23,sK23,sK20,sK24,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_5073]) ).
tcf(c_6544,plain,
( cong(sK24,sK23,sK23,sK20)
| ~ cong(sK24,sK20,sK20,sK20)
| ~ eqratio(sK24,sK23,sK23,sK20,sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6543]) ).
tcf(c_7048,plain,
! [X0: $i,X1: $i] :
( coll(sK20,X1,sK23)
| ~ coll(sK23,X0,sK20)
| ~ coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_7049,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7048]) ).
tcf(c_9007,plain,
eqangle(sK20,sK21,sK23,sK20,sK20,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_163,c_67]) ).
tcf(c_9606,plain,
para(sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_9007,c_87]) ).
tcf(c_9898,plain,
para(sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_9606,c_53]) ).
tcf(c_10496,plain,
eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_163,c_68]) ).
tcf(c_10542,plain,
eqangle(sK23,sK20,sK23,sK20,sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_163,c_69]) ).
tcf(c_10545,plain,
eqangle(sK23,sK20,sK23,sK20,sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_10496,c_69]) ).
tcf(c_12841,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK24,X0,sK20,X2)
| ~ midp(sK24,X1,sK20)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_12842,plain,
( para(sK24,sK20,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ midp(sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12841]) ).
tcf(c_12880,plain,
( para(sK23,sK20,sK23,sK20)
| ~ para(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_10542,c_122]) ).
tcf(c_12893,plain,
( para(sK23,sK20,sK23,sK20)
| ~ para(sK20,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_10545,c_122]) ).
tcf(c_13402,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X1,X2,X1,sK20,X0,X2,X0,sK24)
| ~ midp(sK24,X2,sK20)
| ~ circle(X0,X1,X2,sK20) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_13403,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK24)
| ~ midp(sK24,sK20,sK20)
| ~ circle(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13402]) ).
tcf(c_13780,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqratio(sK24,sK20,sK20,X1,sK24,X0,X0,X2)
| ~ coll(sK24,sK20,X1)
| ~ coll(sK24,X0,X2)
| ~ para(sK20,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_13781,plain,
( eqratio(sK24,sK20,sK20,sK20,sK24,sK20,sK20,sK20)
| ~ coll(sK24,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13780]) ).
tcf(c_14118,plain,
! [X0: $i] :
( coll(sK23,sK24,sK20)
| ~ coll(sK20,X0,sK23)
| ~ coll(sK20,X0,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_14119,plain,
( coll(sK23,sK24,sK20)
| ~ coll(sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_14118]) ).
tcf(c_14546,plain,
para(sK23,sK20,sK23,sK20),
inference(global_subsumption_just,[status(thm)],[c_12880,c_9898,c_12893]) ).
tcf(c_14554,plain,
coll(sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_14546,c_115]) ).
tcf(c_15268,plain,
( cong(sK23,sK24,sK23,sK20)
| ~ cong(sK23,sK20,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_5116]) ).
tcf(c_15516,plain,
! [X0: $i,X1: $i] :
( eqratio(sK24,sK23,sK23,X0,sK24,sK20,X0,X1)
| ~ eqratio(sK24,sK23,sK24,sK20,sK23,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_4973]) ).
tcf(c_15527,plain,
( eqratio(sK24,sK23,sK23,sK20,sK24,sK20,sK20,sK20)
| ~ eqratio(sK24,sK23,sK24,sK20,sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_15516]) ).
tcf(c_19159,plain,
! [X0: $i] :
( cong(sK23,X0,sK23,sK24)
| ~ cong(sK23,X0,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_6430]) ).
tcf(c_19160,plain,
( cong(sK23,sK20,sK23,sK24)
| ~ cong(sK23,sK20,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_19159]) ).
tcf(c_19964,plain,
( cong(sK23,sK20,sK24,sK23)
| ~ cong(sK24,sK23,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_5342]) ).
tcf(c_19967,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_19964,c_19160,c_15527,c_15268,c_14554,c_14119,c_13781,c_13403,c_12842,c_7049,c_6544,c_6500,c_6096,c_5960,c_5786,c_5760,c_5754,c_5655,c_5459,c_5069,c_5036,c_5021,c_5008,c_4945,c_4943,c_4813,c_4799,c_4775,c_4731,c_4638,c_4586,c_4531,c_4526,c_4522,c_231,c_198,c_183,c_177,c_173,c_170,c_162,c_166,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO578+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 12:28:32 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 1.42/1.75 % SZS status Started for theBenchmark.p
% 1.42/1.75 % SZS status Theorem for theBenchmark.p
% 1.42/1.75
% 1.42/1.75 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.42/1.75
% 1.42/1.75 % ------ iProver source info
% 1.42/1.75
% 1.42/1.75 % git: date: 2026-07-19 20:42:38 +0200
% 1.42/1.75 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.42/1.75 % git: non_committed_changes: false
% 1.42/1.75
% 1.42/1.75 % ------ Parsing...
% 1.42/1.75 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.42/1.75
% 1.42/1.75 % ------ 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 %
% 1.42/1.75
% 1.42/1.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.42/1.75
% 1.42/1.75 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.42/1.75 % ------ Proving...
% 1.42/1.75 % ------ Problem Properties
% 1.42/1.75
% 1.42/1.75 %
% 1.42/1.75 % clauses 118
% 1.42/1.75 % conjectures 6
% 1.42/1.75 % EPR 81
% 1.42/1.75 % Horn 108
% 1.42/1.75 % unary 6
% 1.42/1.75 % binary 37
% 1.42/1.75 % lits 334
% 1.42/1.75 % lits eq 4
% 1.42/1.75 % fd_pure 0
% 1.42/1.75 % fd_pseudo 0
% 1.42/1.75 % fd_cond 0
% 1.42/1.75 % fd_pseudo_cond 4
% 1.42/1.75 % AC symbols 0
% 1.42/1.75
% 1.42/1.75 % ------ Input Options Time Limit: Unbounded
% 1.42/1.75
% 1.42/1.75
% 1.42/1.75 % ------
% 1.42/1.75 % Current options:
% 1.42/1.75 % ------
% 1.42/1.75
% 1.42/1.75
% 1.42/1.75 %
% 1.42/1.75
% 1.42/1.75 % ------ Proving...
% 1.42/1.75 %
% 1.42/1.75
% 1.42/1.75 % SZS status Theorem for theBenchmark.p
% 1.42/1.75
% 1.42/1.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.42/1.75
% 1.42/1.75
%------------------------------------------------------------------------------