%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO587+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 : n019.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 01:21:33 PM UTC 2026
% Result : Theorem 106.52s 16.39s
% Output : CNFRefutation 106.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 23
% Syntax : Number of formulae : 201 ( 9 unt; 0 def)
% Number of atoms : 529 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 593 ( 265 ~; 259 |; 45 &)
% ( 0 <=>; 24 =>; 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 : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 654 ( 0 sgn 636 !; 18 ?; 215 :)
% Comments :
%------------------------------------------------------------------------------
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(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(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(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/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/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(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(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(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(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(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(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(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X8,X5,X7)
& coll(X8,X4,X6)
& midp(X7,X0,X3)
& midp(X6,X3,X1)
& midp(X5,X1,X2)
& midp(X4,X2,X0)
& perp(X0,X1,X2,X3) )
=> cong(X8,X7,X8,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416049) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X8,X5,X7)
& coll(X8,X4,X6)
& midp(X7,X0,X3)
& midp(X6,X3,X1)
& midp(X5,X1,X2)
& midp(X4,X2,X0)
& perp(X0,X1,X2,X3) )
=> cong(X8,X7,X8,X6) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(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(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(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(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(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(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
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(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(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(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(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(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( coll(X8,X5,X7)
& coll(X8,X4,X6)
& midp(X7,X0,X3)
& midp(X6,X3,X1)
& midp(X5,X1,X2)
& midp(X4,X2,X0)
& perp(X0,X1,X2,X3)
& ~ cong(X8,X7,X8,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( coll(X8,X5,X7)
& coll(X8,X4,X6)
& midp(X7,X0,X3)
& midp(X6,X3,X1)
& midp(X5,X1,X2)
& midp(X4,X2,X0)
& perp(X0,X1,X2,X3)
& ~ cong(X8,X7,X8,X6) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK28,sK25,sK27)
& coll(sK28,sK24,sK26)
& midp(sK27,sK20,sK23)
& midp(sK26,sK23,sK21)
& midp(sK25,sK21,sK22)
& midp(sK24,sK22,sK20)
& perp(sK20,sK21,sK22,sK23)
& ~ cong(sK28,sK27,sK28,sK26) ),
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(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(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(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(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
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(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(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
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(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(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(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(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(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f384,plain,
coll(sK28,sK25,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
coll(sK28,sK24,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
perp(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ cong(sK28,sK27,sK28,sK26),
inference(cnf_transformation,[],[f270]) ).
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_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_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_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f288]) ).
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_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_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
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_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_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_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_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_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_162,negated_conjecture,
~ cong(sK28,sK27,sK28,sK26),
inference(cnf_transformation,[],[f391]) ).
tcf(c_163,negated_conjecture,
perp(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f390]) ).
tcf(c_168,negated_conjecture,
coll(sK28,sK24,sK26),
inference(cnf_transformation,[],[f385]) ).
tcf(c_169,negated_conjecture,
coll(sK28,sK25,sK27),
inference(cnf_transformation,[],[f384]) ).
tcf(c_172,plain,
( coll(sK28,sK28,sK28)
| ~ para(sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_175,plain,
( midp(sK28,sK28,sK28)
| ~ coll(sK28,sK28,sK28)
| ~ cong(sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_179,plain,
( eqangle(sK28,sK28,sK28,sK28,sK28,sK28,sK28,sK28)
| ~ para(sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_184,plain,
( perp(sK28,sK28,sK28,sK28)
| ~ cong(sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_200,plain,
( cyclic(sK28,sK28,sK28,sK28)
| ~ coll(sK28,sK28,sK28)
| ~ eqangle(sK28,sK28,sK28,sK28,sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_233,plain,
( cong(sK28,sK28,sK28,sK28)
| ~ cyclic(sK28,sK28,sK28,sK28)
| ~ eqangle(sK28,sK28,sK28,sK28,sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_2346,plain,
( perp(sK20,sK21,sK23,sK22)
| ~ perp(sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_2404,plain,
! [X0: $i] :
( coll(X0,sK26,sK28)
| ~ coll(sK28,sK24,sK26)
| ~ coll(sK28,sK24,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2409,plain,
! [X0: $i] :
( coll(X0,sK27,sK28)
| ~ coll(sK28,sK25,sK27)
| ~ coll(sK28,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2467,plain,
( perp(sK23,sK22,sK20,sK21)
| ~ perp(sK20,sK21,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_2469,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK23,sK22)
| ~ perp(sK20,sK21,sK23,sK22)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_2903,plain,
( coll(sK26,sK26,sK28)
| ~ coll(sK28,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_2404]) ).
tcf(c_2922,plain,
( coll(sK27,sK27,sK28)
| ~ coll(sK28,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_2409]) ).
tcf(c_2998,plain,
( para(sK23,sK22,sK23,sK22)
| ~ perp(sK23,sK22,sK20,sK21)
| ~ perp(sK20,sK21,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_2469]) ).
tcf(c_5890,plain,
! [X0: $i] :
( coll(X0,sK28,sK26)
| ~ coll(sK26,sK26,sK28)
| ~ coll(sK26,sK26,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_5891,plain,
( coll(sK28,sK28,sK26)
| ~ coll(sK26,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_5890]) ).
tcf(c_5918,plain,
! [X0: $i] :
( coll(X0,sK28,sK27)
| ~ coll(sK27,sK27,sK28)
| ~ coll(sK27,sK27,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_5919,plain,
( coll(sK28,sK28,sK27)
| ~ coll(sK27,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_5918]) ).
tcf(c_6327,plain,
! [X0: $i,X1: $i] :
( eqangle(sK23,sK22,X0,X1,sK23,sK22,X0,X1)
| ~ para(sK23,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_6333,plain,
( eqangle(sK23,sK22,sK28,sK28,sK23,sK22,sK28,sK28)
| ~ para(sK23,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_6327]) ).
tcf(c_6341,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK23,sK22,sK23,sK22)
| ~ eqangle(X0,X1,X2,X3,sK23,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_6342,plain,
( para(sK28,sK28,sK28,sK28)
| ~ para(sK23,sK22,sK23,sK22)
| ~ eqangle(sK28,sK28,sK28,sK28,sK23,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_6341]) ).
tcf(c_8968,plain,
! [X0: $i,X1: $i] :
( eqangle(sK23,sK22,sK23,sK22,X0,X1,X0,X1)
| ~ eqangle(sK23,sK22,X0,X1,sK23,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_8975,plain,
( eqangle(sK23,sK22,sK23,sK22,sK28,sK28,sK28,sK28)
| ~ eqangle(sK23,sK22,sK28,sK28,sK23,sK22,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_8968]) ).
tcf(c_10891,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK23,sK22,sK23,sK22)
| ~ eqangle(sK23,sK22,sK23,sK22,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_10897,plain,
( eqangle(sK28,sK28,sK28,sK28,sK23,sK22,sK23,sK22)
| ~ eqangle(sK23,sK22,sK23,sK22,sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_10891]) ).
tcf(c_12246,plain,
! [X0: $i,X1: $i] :
( cong(sK28,sK27,sK28,sK26)
| ~ cyclic(sK28,sK27,X0,sK26)
| ~ cyclic(sK28,sK27,X0,sK28)
| ~ cyclic(sK28,sK27,X0,X1)
| ~ eqangle(X0,sK28,X0,sK27,X1,sK28,X1,sK26) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_12247,plain,
( cong(sK28,sK27,sK28,sK26)
| ~ cyclic(sK28,sK27,sK28,sK26)
| ~ cyclic(sK28,sK27,sK28,sK28)
| ~ eqangle(sK28,sK28,sK28,sK27,sK28,sK28,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_12246]) ).
tcf(c_13214,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK26)
| ~ cong(X0,sK26,X1,sK26)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_13215,plain,
( perp(sK28,sK28,sK28,sK26)
| ~ cong(sK28,sK26,sK28,sK26)
| ~ cong(sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_13214]) ).
tcf(c_14807,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,sK28,X0,sK27,X1,sK28,X1,sK26)
| ~ eqangle(X0,sK27,X0,sK28,X1,sK26,X1,sK28) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_14808,plain,
( eqangle(sK28,sK28,sK28,sK27,sK28,sK28,sK28,sK26)
| ~ eqangle(sK28,sK27,sK28,sK28,sK28,sK26,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_14807]) ).
tcf(c_28195,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X2,sK28,sK26)
| ~ cyclic(X1,X2,X0,sK26)
| ~ cyclic(X1,X2,X0,sK28)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,sK28,X3,sK26) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_28205,plain,
! [X0: $i] :
( cyclic(sK28,sK27,X0,sK26)
| ~ cyclic(sK28,sK27,sK26,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_28206,plain,
( cyclic(sK28,sK27,sK28,sK26)
| ~ cyclic(sK28,sK27,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_28205]) ).
tcf(c_28280,plain,
! [X0: $i,X1: $i] :
( para(X1,sK26,X0,sK27)
| ~ para(X0,sK27,X1,sK26) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_28281,plain,
( para(sK28,sK26,sK28,sK27)
| ~ para(sK28,sK27,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_28280]) ).
tcf(c_28384,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X2,X1,sK26)
| ~ cyclic(X0,X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_28387,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_28388,plain,
( cyclic(sK28,sK28,sK28,sK26)
| ~ cyclic(sK28,sK28,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_28387]) ).
tcf(c_28391,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,sK26)
| ~ coll(X0,sK26,X2)
| ~ eqangle(X0,X1,X0,X2,sK26,X1,sK26,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_28419,plain,
! [X0: $i] :
( cyclic(sK28,sK27,sK26,X0)
| ~ cyclic(sK28,sK26,sK27,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_28420,plain,
( cyclic(sK28,sK27,sK26,sK28)
| ~ cyclic(sK28,sK26,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_28419]) ).
tcf(c_28477,plain,
! [X0: $i,X1: $i] :
( cyclic(sK28,sK27,X0,X1)
| ~ coll(X0,X1,sK27)
| ~ eqangle(X0,sK28,X0,sK27,X1,sK28,X1,sK27) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_28480,plain,
( cyclic(sK28,sK27,sK28,sK28)
| ~ coll(sK28,sK28,sK27)
| ~ eqangle(sK28,sK28,sK28,sK27,sK28,sK28,sK28,sK27) ),
inference(instantiation,[status(thm)],[c_28477]) ).
tcf(c_28871,plain,
! [X0: $i,X1: $i] :
( para(sK28,sK27,sK28,sK26)
| ~ perp(sK28,sK27,X0,X1)
| ~ perp(X0,X1,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_28872,plain,
( para(sK28,sK27,sK28,sK26)
| ~ perp(sK28,sK27,sK28,sK28)
| ~ perp(sK28,sK28,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_28871]) ).
tcf(c_29191,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,sK26,X2,X3,X1,sK27,X2,X3)
| ~ para(X0,sK26,X1,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_29192,plain,
( eqangle(sK28,sK26,sK28,sK28,sK28,sK27,sK28,sK28)
| ~ para(sK28,sK26,sK28,sK27) ),
inference(instantiation,[status(thm)],[c_29191]) ).
tcf(c_29246,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,sK27,sK27,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,sK27,sK27,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_29247,plain,
( perp(sK28,sK27,sK27,sK28)
| ~ perp(sK28,sK28,sK28,sK28)
| ~ eqangle(sK28,sK27,sK27,sK28,sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_29246]) ).
tcf(c_29396,plain,
! [X0: $i,X1: $i] :
( cyclic(sK28,X1,sK26,sK27)
| ~ cyclic(X0,sK28,X1,sK26)
| ~ cyclic(X0,sK28,X1,sK27) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_29397,plain,
( cyclic(sK28,sK28,sK26,sK27)
| ~ cyclic(sK28,sK28,sK28,sK26)
| ~ cyclic(sK28,sK28,sK28,sK27) ),
inference(instantiation,[status(thm)],[c_29396]) ).
tcf(c_29420,plain,
! [X0: $i,X1: $i] :
( cyclic(sK28,sK26,sK27,X1)
| ~ cyclic(X0,sK28,sK26,sK27)
| ~ cyclic(X0,sK28,sK26,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_29421,plain,
( cyclic(sK28,sK26,sK27,sK28)
| ~ cyclic(sK28,sK28,sK26,sK27)
| ~ cyclic(sK28,sK28,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_29420]) ).
tcf(c_29476,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK26,sK26)
| ~ coll(sK26,sK26,X1)
| ~ eqangle(sK26,X0,sK26,X1,sK26,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_28391]) ).
tcf(c_29477,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,X0,sK26,X1,sK26,X0,sK26,X1)
| ~ para(sK26,X0,sK26,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_29478,plain,
( cyclic(sK28,sK28,sK26,sK26)
| ~ coll(sK26,sK26,sK28)
| ~ eqangle(sK26,sK28,sK26,sK28,sK26,sK28,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_29476]) ).
tcf(c_29479,plain,
( eqangle(sK26,sK28,sK26,sK28,sK26,sK28,sK26,sK28)
| ~ para(sK26,sK28,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_29477]) ).
tcf(c_29621,plain,
! [X0: $i] :
( eqangle(X0,sK28,X0,sK27,X0,sK28,X0,sK27)
| ~ para(X0,sK28,X0,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_29622,plain,
( eqangle(sK28,sK28,sK28,sK27,sK28,sK28,sK28,sK27)
| ~ para(sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_29621]) ).
tcf(c_29762,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK28,sK27,sK28)
| ~ midp(sK28,X0,X1)
| ~ perp(X0,sK27,sK27,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_29763,plain,
( cong(sK28,sK28,sK27,sK28)
| ~ midp(sK28,sK28,sK28)
| ~ perp(sK28,sK27,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_29762]) ).
tcf(c_29796,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK27)
| ~ cyclic(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_29797,plain,
( cyclic(sK28,sK28,sK28,sK27)
| ~ cyclic(sK28,sK28,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_29796]) ).
tcf(c_29992,plain,
! [X0: $i,X1: $i] :
( cyclic(sK28,sK26,X0,X1)
| ~ coll(X0,X1,sK26)
| ~ eqangle(X0,sK28,X0,sK26,X1,sK28,X1,sK26) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_29995,plain,
( cyclic(sK28,sK26,sK28,sK28)
| ~ coll(sK28,sK28,sK26)
| ~ eqangle(sK28,sK28,sK28,sK26,sK28,sK28,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_29992]) ).
tcf(c_30124,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK26,X2)
| ~ cyclic(X0,sK26,X1,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_30125,plain,
( cyclic(sK28,sK28,sK26,sK28)
| ~ cyclic(sK28,sK26,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_30124]) ).
tcf(c_30573,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK26,X0,X1,X0,sK26)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_30575,plain,
( eqangle(sK28,sK28,sK28,sK26,sK28,sK28,sK28,sK26)
| ~ para(sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_30573]) ).
tcf(c_30932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK26,sK28,sK26,sK28)
| ~ para(X0,X1,X2,X3)
| ~ eqangle(sK26,sK28,sK26,sK28,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_30934,plain,
( para(sK26,sK28,sK26,sK28)
| ~ para(sK28,sK28,sK28,sK28)
| ~ eqangle(sK26,sK28,sK26,sK28,sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_30932]) ).
tcf(c_30964,plain,
! [X0: $i,X1: $i] :
( cyclic(sK28,X0,sK27,X1)
| ~ cyclic(sK28,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_30965,plain,
( cyclic(sK28,sK28,sK27,sK28)
| ~ cyclic(sK28,sK27,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_30964]) ).
tcf(c_30995,plain,
! [X0: $i,X1: $i] :
( cong(X1,sK26,sK28,sK26)
| ~ cyclic(X1,sK26,X0,sK26)
| ~ cyclic(X1,sK26,X0,sK28)
| ~ cyclic(X1,sK26,X0,X0)
| ~ eqangle(X0,X1,X0,sK26,X0,sK28,X0,sK26) ),
inference(instantiation,[status(thm)],[c_28195]) ).
tcf(c_30997,plain,
( cong(sK28,sK26,sK28,sK26)
| ~ cyclic(sK28,sK26,sK28,sK26)
| ~ cyclic(sK28,sK26,sK28,sK28)
| ~ eqangle(sK28,sK28,sK28,sK26,sK28,sK28,sK28,sK26) ),
inference(instantiation,[status(thm)],[c_30995]) ).
tcf(c_31499,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK27,X0,X1)
| ~ cong(X0,X1,sK27,X1)
| ~ cong(X0,X0,sK27,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_31500,plain,
( perp(sK28,sK27,sK28,sK28)
| ~ cong(sK28,sK28,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_31499]) ).
tcf(c_31952,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK26,X1,sK26)
| ~ cyclic(X0,X1,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_28384]) ).
tcf(c_31953,plain,
( cyclic(sK28,sK26,sK28,sK26)
| ~ cyclic(sK28,sK28,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_31952]) ).
tcf(c_32024,plain,
! [X0: $i,X1: $i] :
( eqangle(sK28,sK27,X0,X1,sK28,sK26,X0,X1)
| ~ eqangle(sK28,sK26,X0,X1,sK28,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_32025,plain,
( eqangle(sK28,sK27,sK28,sK28,sK28,sK26,sK28,sK28)
| ~ eqangle(sK28,sK26,sK28,sK28,sK28,sK27,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_32024]) ).
tcf(c_33175,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,sK27,sK27,X1,X2,X3,X4,X5)
| ~ eqangle(sK27,X0,sK27,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_33176,plain,
( eqangle(sK28,sK27,sK27,sK28,sK28,sK28,sK28,sK28)
| ~ eqangle(sK27,sK28,sK27,sK28,sK28,sK28,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_33175]) ).
tcf(c_35564,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,X0,sK26,sK28,X1,X0,X1,sK28)
| ~ cyclic(X0,sK28,sK26,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_35565,plain,
( eqangle(sK26,sK28,sK26,sK28,sK28,sK28,sK28,sK28)
| ~ cyclic(sK28,sK28,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_35564]) ).
tcf(c_43869,plain,
! [X0: $i,X1: $i] :
( eqangle(sK27,sK28,sK27,X0,X1,sK28,X1,X0)
| ~ cyclic(sK28,X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_43870,plain,
( eqangle(sK27,sK28,sK27,sK28,sK28,sK28,sK28,sK28)
| ~ cyclic(sK28,sK28,sK27,sK28) ),
inference(instantiation,[status(thm)],[c_43869]) ).
tcf(c_43871,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_43870,c_35565,c_33176,c_32025,c_31953,c_31500,c_30997,c_30965,c_30934,c_30575,c_30125,c_29995,c_29797,c_29763,c_29622,c_29479,c_29478,c_29421,c_29397,c_29247,c_29192,c_28872,c_28480,c_28420,c_28388,c_28281,c_28206,c_14808,c_13215,c_12247,c_10897,c_8975,c_6342,c_6333,c_5919,c_5891,c_2998,c_2922,c_2903,c_2467,c_2346,c_233,c_200,c_184,c_179,c_175,c_172,c_162,c_163,c_168,c_169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO587+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 12:29:19 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 106.52/16.39 % SZS status Started for theBenchmark.p
% 106.52/16.39 % SZS status Theorem for theBenchmark.p
% 106.52/16.39
% 106.52/16.39 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 106.52/16.39
% 106.52/16.39 % ------ iProver source info
% 106.52/16.39
% 106.52/16.39 % git: date: 2026-07-19 20:42:38 +0200
% 106.52/16.39 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 106.52/16.39 % git: non_committed_changes: false
% 106.52/16.39
% 106.52/16.39 % ------ Parsing...
% 106.52/16.39 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 106.52/16.39
% 106.52/16.39 % ------ Preprocessing...%
% 106.52/16.39
% 106.52/16.39 % ------ Preprocessing...%
% 106.52/16.39
% 106.52/16.39 % ------ Preprocessing...
% 106.52/16.39 % ------ Proving...
% 106.52/16.39 % ------ Problem Properties
% 106.52/16.39
% 106.52/16.39 %
% 106.52/16.39 % clauses 120
% 106.52/16.39 % conjectures 8
% 106.52/16.39 % EPR 83
% 106.52/16.39 % Horn 110
% 106.52/16.39 % unary 8
% 106.52/16.39 % binary 37
% 106.52/16.39 % lits 336
% 106.52/16.39 % lits eq 4
% 106.52/16.39 % fd_pure 0
% 106.52/16.39 % fd_pseudo 0
% 106.52/16.39 % fd_cond 0
% 106.52/16.39 % fd_pseudo_cond 4
% 106.52/16.39 % AC symbols 0
% 106.52/16.39
% 106.52/16.39 % ------ Input Options Time Limit: Unbounded
% 106.52/16.39
% 106.52/16.39
% 106.52/16.39 % ------
% 106.52/16.39 % Current options:
% 106.52/16.39 % ------
% 106.52/16.39
% 106.52/16.39
% 106.52/16.39 %
% 106.52/16.39
% 106.52/16.39 % ------ Proving...
% 106.52/16.39 %
% 106.52/16.39
% 106.52/16.39 % SZS status Theorem for theBenchmark.p
% 106.52/16.39
% 106.52/16.39 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 106.52/16.39
% 106.52/16.39
%------------------------------------------------------------------------------