%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO573+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 : n007.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 01:21:31 PM UTC 2026
% Result : Theorem 54.60s 8.64s
% Output : CNFRefutation 54.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 23
% Syntax : Number of formulae : 243 ( 40 unt; 0 def)
% Number of atoms : 603 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 645 ( 285 ~; 279 |; 57 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 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 : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 595 ( 0 sgn 577 !; 18 ?; 202 :)
% 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(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(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(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(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(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(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
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(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(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(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(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> cong(X0,X6,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214035) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> cong(X0,X6,X0,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(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(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(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
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(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(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(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(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(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(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(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(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(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2)
& ~ cong(X0,X6,X0,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( coll(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2)
& ~ cong(X0,X6,X0,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK27,sK21,sK25)
& coll(sK27,sK22,sK24)
& coll(sK26,sK22,sK24)
& circle(sK23,sK22,sK26,sK28)
& coll(sK25,sK20,sK22)
& perp(sK25,sK21,sK20,sK22)
& coll(sK24,sK20,sK21)
& perp(sK24,sK22,sK20,sK21)
& circle(sK23,sK20,sK21,sK22)
& ~ cong(sK20,sK26,sK20,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
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(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
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(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(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(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(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(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(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
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(sK27,sK21,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
perp(sK24,sK22,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ cong(sK20,sK26,sK20,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_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_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_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
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_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_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_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_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_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_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_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_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(sK20,sK26,sK20,sK27),
inference(cnf_transformation,[],[f393]) ).
tcf(c_164,negated_conjecture,
perp(sK24,sK22,sK20,sK21),
inference(cnf_transformation,[],[f391]) ).
tcf(c_165,negated_conjecture,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f390]) ).
tcf(c_167,negated_conjecture,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_169,negated_conjecture,
coll(sK26,sK22,sK24),
inference(cnf_transformation,[],[f386]) ).
tcf(c_171,negated_conjecture,
coll(sK27,sK21,sK25),
inference(cnf_transformation,[],[f384]) ).
tcf(c_177,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_180,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_186,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_235,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_4837,negated_conjecture,
coll(sK27,sK21,sK25),
inference(demodulation,[status(thm)],[c_171]) ).
tcf(c_4839,negated_conjecture,
coll(sK26,sK22,sK24),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_4841,negated_conjecture,
coll(sK25,sK20,sK22),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4843,negated_conjecture,
coll(sK24,sK20,sK21),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4844,negated_conjecture,
perp(sK24,sK22,sK20,sK21),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_6376,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_4843,c_49]) ).
tcf(c_6377,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_4841,c_49]) ).
tcf(c_6378,plain,
coll(sK26,sK24,sK22),
inference(superposition,[status(thm)],[c_4839,c_49]) ).
tcf(c_6380,plain,
coll(sK27,sK25,sK21),
inference(superposition,[status(thm)],[c_4837,c_49]) ).
tcf(c_6475,plain,
perp(sK20,sK21,sK24,sK22),
inference(superposition,[status(thm)],[c_4844,c_56]) ).
tcf(c_6594,plain,
! [X0: $i] :
( coll(sK21,X0,sK24)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_4843,c_51]) ).
tcf(c_6595,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_4841,c_51]) ).
tcf(c_6599,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_6376,c_51]) ).
tcf(c_6600,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_6377,c_51]) ).
tcf(c_6601,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK24,X0) ),
inference(superposition,[status(thm)],[c_6378,c_51]) ).
tcf(c_6603,plain,
! [X0: $i] :
( coll(sK21,X0,sK27)
| ~ coll(sK27,sK25,X0) ),
inference(superposition,[status(thm)],[c_6380,c_51]) ).
tcf(c_6714,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_4843,c_6594]) ).
tcf(c_6719,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_4841,c_6595]) ).
tcf(c_6736,plain,
! [X0: $i] :
( coll(sK24,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6714,c_51]) ).
tcf(c_6741,plain,
! [X0: $i] :
( coll(sK25,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6719,c_51]) ).
tcf(c_6807,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_6376,c_6599]) ).
tcf(c_6855,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_6807,c_49]) ).
tcf(c_6863,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_6377,c_6600]) ).
tcf(c_6867,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6863,c_49]) ).
tcf(c_6875,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_6378,c_6601]) ).
tcf(c_6903,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_6380,c_6603]) ).
tcf(c_6913,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,X2,X0)
| ~ cyclic(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
tcf(c_6916,plain,
( para(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6913]) ).
tcf(c_6953,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6855,c_51]) ).
tcf(c_6959,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_6953]) ).
tcf(c_7190,plain,
coll(sK24,sK27,sK21),
inference(superposition,[status(thm)],[c_6903,c_6736]) ).
tcf(c_7202,plain,
coll(sK25,sK26,sK22),
inference(superposition,[status(thm)],[c_6875,c_6741]) ).
tcf(c_7339,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK24,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6475,c_57]) ).
tcf(c_8156,plain,
coll(sK24,sK21,sK27),
inference(superposition,[status(thm)],[c_7190,c_49]) ).
tcf(c_8169,plain,
coll(sK25,sK22,sK26),
inference(superposition,[status(thm)],[c_7202,c_49]) ).
tcf(c_8489,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_4844,c_7339]) ).
tcf(c_10829,plain,
coll(sK20,sK27,sK24),
inference(superposition,[status(thm)],[c_8156,c_6599]) ).
tcf(c_11253,plain,
coll(sK20,sK26,sK25),
inference(superposition,[status(thm)],[c_8169,c_6600]) ).
tcf(c_14266,plain,
coll(sK20,sK24,sK27),
inference(superposition,[status(thm)],[c_10829,c_49]) ).
tcf(c_14337,plain,
coll(sK20,sK25,sK26),
inference(superposition,[status(thm)],[c_11253,c_49]) ).
tcf(c_16314,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK26)
| ~ coll(sK26,X0,X2)
| ~ coll(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_16315,plain,
( coll(sK20,sK20,sK26)
| ~ coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16314]) ).
tcf(c_16923,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK27)
| ~ coll(sK27,X0,X2)
| ~ coll(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_16924,plain,
( coll(sK20,sK20,sK27)
| ~ coll(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16923]) ).
tcf(c_18556,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_18561,plain,
( eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_18556]) ).
tcf(c_18760,plain,
! [X0: $i] :
( coll(sK27,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_14266,c_51]) ).
tcf(c_18766,plain,
( coll(sK27,sK20,sK20)
| ~ coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_18760]) ).
tcf(c_18802,plain,
! [X0: $i] :
( coll(sK26,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_14337,c_51]) ).
tcf(c_18808,plain,
( coll(sK26,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_18802]) ).
tcf(c_38379,plain,
! [X0: $i] :
( cyclic(sK21,X0,sK20,sK20)
| ~ coll(sK20,sK20,X0)
| ~ eqangle(sK20,sK21,sK20,X0,sK20,sK21,sK20,X0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_38381,plain,
( cyclic(sK21,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_38379]) ).
tcf(c_83356,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK20,sK20,X1)
| ~ cyclic(sK21,X0,sK20,sK20)
| ~ cyclic(sK21,X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_83361,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ cyclic(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_83356]) ).
tcf(c_104592,plain,
( cong(sK20,sK26,sK20,sK27)
| ~ cong(sK20,sK26,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_118143,plain,
( cong(sK20,sK26,sK27,sK20)
| ~ cong(sK27,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_121735,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK27)
| ~ cong(X0,sK27,X1,sK27)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_121736,plain,
( perp(sK20,sK20,sK20,sK27)
| ~ cong(sK20,sK27,sK20,sK27)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_121735]) ).
tcf(c_125481,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK27,X2,X3)
| ~ midp(sK27,X1,X3)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_125482,plain,
( para(sK20,sK27,sK20,sK20)
| ~ midp(sK27,sK20,sK20)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_125481]) ).
tcf(c_131392,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X2,sK20,sK27)
| ~ cyclic(X1,X2,X0,sK27)
| ~ cyclic(X1,X2,X0,sK20)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,sK20,X3,sK27) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_131434,plain,
! [X0: $i] :
( cyclic(sK20,sK26,X0,sK20)
| ~ coll(X0,sK20,sK26)
| ~ eqangle(X0,sK20,X0,sK26,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_131435,plain,
( cyclic(sK20,sK26,sK20,sK20)
| ~ coll(sK20,sK20,sK26)
| ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_131434]) ).
tcf(c_131457,plain,
( cong(sK27,sK20,sK20,sK26)
| ~ cong(sK27,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_131563,plain,
! [X0: $i] :
( cyclic(sK20,X0,sK26,sK20)
| ~ cyclic(sK20,sK26,X0,sK20) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_131564,plain,
( cyclic(sK20,sK20,sK26,sK20)
| ~ cyclic(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_131563]) ).
tcf(c_131578,plain,
! [X0: $i] :
( cyclic(sK20,sK26,sK20,X0)
| ~ cyclic(sK20,sK20,sK26,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_131593,plain,
! [X0: $i,X1: $i] :
( cyclic(sK26,sK20,X1,sK20)
| ~ cyclic(X0,sK26,sK20,sK20)
| ~ cyclic(X0,sK26,sK20,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_131760,plain,
( eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_131772,plain,
! [X0: $i,X1: $i] :
( cyclic(sK20,sK26,X0,X1)
| ~ cyclic(sK26,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_131778,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_131780,plain,
( midp(sK27,sK20,sK20)
| ~ coll(sK27,sK20,sK20)
| ~ cong(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_131778]) ).
tcf(c_131953,plain,
! [X0: $i] :
( cyclic(sK20,sK27,X0,sK20)
| ~ coll(X0,sK20,sK27)
| ~ eqangle(X0,sK20,X0,sK27,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_131954,plain,
( cyclic(sK20,sK27,sK20,sK20)
| ~ coll(sK20,sK20,sK27)
| ~ eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_131953]) ).
tcf(c_132014,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK26,X0,sK26,sK27)
| ~ perp(X1,X2,X3,X4)
| ~ eqangle(sK26,X0,sK26,sK27,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_132239,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_132242,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_132243,plain,
( cyclic(sK20,sK20,sK20,sK27)
| ~ cyclic(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_132242]) ).
tcf(c_132244,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X0,X2,sK27)
| ~ cyclic(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_132245,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_132321,plain,
! [X0: $i] :
( cong(sK27,sK20,sK26,sK20)
| ~ midp(sK20,sK27,X0)
| ~ perp(sK27,sK26,sK26,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_132322,plain,
( cong(sK27,sK20,sK26,sK20)
| ~ midp(sK20,sK27,sK20)
| ~ perp(sK27,sK26,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_132321]) ).
tcf(c_132417,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK20,sK27,X1)
| ~ midp(sK20,X0,X2)
| ~ para(X0,sK27,X2,X1)
| ~ para(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_132418,plain,
( midp(sK20,sK27,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK27,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_132417]) ).
tcf(c_132420,plain,
( cyclic(sK20,sK27,sK26,sK20)
| ~ cyclic(sK20,sK26,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_131563]) ).
tcf(c_132427,plain,
( cyclic(sK20,sK26,sK20,sK27)
| ~ cyclic(sK20,sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_131578]) ).
tcf(c_132591,plain,
! [X0: $i] :
( cyclic(sK20,X0,sK27,sK20)
| ~ cyclic(sK20,sK27,X0,sK20) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_132592,plain,
( cyclic(sK20,sK20,sK27,sK20)
| ~ cyclic(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_132591]) ).
tcf(c_132621,plain,
! [X0: $i] :
( cyclic(sK27,sK20,X0,sK20)
| ~ cyclic(sK20,sK27,X0,sK20) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_132622,plain,
( cyclic(sK27,sK20,sK20,sK20)
| ~ cyclic(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_132621]) ).
tcf(c_132638,plain,
! [X0: $i] :
( perp(sK26,X0,sK27,sK26)
| ~ perp(sK26,X0,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_132639,plain,
( perp(sK26,sK20,sK27,sK26)
| ~ perp(sK26,sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_132638]) ).
tcf(c_133185,plain,
( eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_133422,plain,
! [X0: $i] :
( cyclic(sK26,sK20,sK27,sK20)
| ~ cyclic(X0,sK26,sK20,sK27)
| ~ cyclic(X0,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_131593]) ).
tcf(c_133423,plain,
( cyclic(sK26,sK20,sK27,sK20)
| ~ cyclic(sK20,sK26,sK20,sK27)
| ~ cyclic(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_133422]) ).
tcf(c_133537,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(sK27,X1,sK27,X3)
| ~ cyclic(sK27,X1,X0,sK27)
| ~ cyclic(sK27,X1,X0,X3)
| ~ cyclic(sK27,X1,X0,X2)
| ~ eqangle(X0,sK27,X0,X1,X2,sK27,X2,X3) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_133538,plain,
( cong(sK27,sK20,sK27,sK20)
| ~ cyclic(sK27,sK20,sK20,sK27)
| ~ cyclic(sK27,sK20,sK20,sK20)
| ~ eqangle(sK20,sK27,sK20,sK20,sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_133537]) ).
tcf(c_133801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK20,X3,sK27)
| ~ perp(X1,X2,X3,sK27)
| ~ perp(X0,sK20,X1,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_133802,plain,
( para(sK20,sK20,sK20,sK27)
| ~ perp(sK20,sK20,sK20,sK27)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_133801]) ).
tcf(c_134272,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X2,sK26,X0,X1)
| ~ perp(X0,X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_134806,plain,
! [X0: $i,X1: $i] :
( perp(sK26,X0,sK26,sK27)
| ~ perp(X1,X0,X1,sK27)
| ~ eqangle(sK26,X0,sK26,sK27,X1,X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_132014]) ).
tcf(c_134807,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,X0,sK26,sK27,X1,X0,X1,sK27)
| ~ cyclic(X0,sK27,sK26,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_134808,plain,
( perp(sK26,sK20,sK26,sK27)
| ~ perp(sK20,sK20,sK20,sK27)
| ~ eqangle(sK26,sK20,sK26,sK27,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_134806]) ).
tcf(c_134809,plain,
( eqangle(sK26,sK20,sK26,sK27,sK20,sK20,sK20,sK27)
| ~ cyclic(sK20,sK27,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_134807]) ).
tcf(c_135059,plain,
! [X0: $i,X1: $i] :
( cong(X1,sK27,sK20,sK27)
| ~ cyclic(X1,sK27,X0,sK27)
| ~ cyclic(X1,sK27,X0,sK20)
| ~ cyclic(X1,sK27,X0,X0)
| ~ eqangle(X0,X1,X0,sK27,X0,sK20,X0,sK27) ),
inference(instantiation,[status(thm)],[c_131392]) ).
tcf(c_135061,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_135059]) ).
tcf(c_135553,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK20,X1,sK26)
| ~ cyclic(X0,sK20,sK26,X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_135554,plain,
( cyclic(sK20,sK20,sK20,sK26)
| ~ cyclic(sK20,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_135553]) ).
tcf(c_135693,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,sK27,X0,sK20,X1,sK27,X1,sK20)
| ~ cyclic(sK27,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_135694,plain,
( eqangle(sK20,sK27,sK20,sK20,sK20,sK27,sK20,sK20)
| ~ cyclic(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_135693]) ).
tcf(c_135854,plain,
! [X0: $i] :
( cyclic(sK20,sK20,sK26,sK27)
| ~ cyclic(X0,sK20,sK20,sK27)
| ~ cyclic(X0,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_132245]) ).
tcf(c_135855,plain,
( cyclic(sK20,sK20,sK26,sK27)
| ~ cyclic(sK20,sK20,sK20,sK27)
| ~ cyclic(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_135854]) ).
tcf(c_135890,plain,
! [X0: $i] :
( cyclic(sK20,sK26,sK27,X0)
| ~ cyclic(sK26,sK20,sK27,X0) ),
inference(instantiation,[status(thm)],[c_131772]) ).
tcf(c_135893,plain,
( cyclic(sK20,sK26,sK27,sK20)
| ~ cyclic(sK26,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_135890]) ).
tcf(c_136187,plain,
! [X0: $i] :
( cyclic(sK20,sK27,X0,sK27)
| ~ cyclic(sK20,X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_132239]) ).
tcf(c_136188,plain,
( cyclic(sK20,sK27,sK20,sK27)
| ~ cyclic(sK20,sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_136187]) ).
tcf(c_142017,plain,
! [X0: $i] :
( cyclic(sK27,sK20,X0,sK27)
| ~ cyclic(sK20,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_132244]) ).
tcf(c_142018,plain,
( cyclic(sK27,sK20,sK20,sK27)
| ~ cyclic(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_142017]) ).
tcf(c_142046,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK20,sK27,sK27)
| ~ cyclic(X0,X1,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_132245]) ).
tcf(c_142047,plain,
( cyclic(sK20,sK20,sK27,sK27)
| ~ cyclic(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_142046]) ).
tcf(c_142712,plain,
! [X0: $i] :
( perp(sK27,sK26,sK26,X0)
| ~ perp(sK26,X0,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_134272]) ).
tcf(c_142713,plain,
( perp(sK27,sK26,sK26,sK20)
| ~ perp(sK26,sK20,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_142712]) ).
tcf(c_142714,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_142713,c_142047,c_142018,c_136188,c_135893,c_135855,c_135694,c_135554,c_135061,c_134809,c_134808,c_133802,c_133538,c_133423,c_133185,c_132639,c_132622,c_132592,c_132427,c_132420,c_132418,c_132322,c_132243,c_131954,c_131780,c_131760,c_131564,c_131457,c_131435,c_125482,c_121736,c_118143,c_104592,c_83361,c_38381,c_18808,c_18766,c_18561,c_16924,c_16315,c_8489,c_6959,c_6916,c_6867,c_6855,c_235,c_186,c_180,c_177,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO573+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.18/0.45 % Computer : n007.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Wed Sep 23 12:24:38 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 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
% 0.23/0.53
% 0.23/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.53
% 0.23/0.53 % Detected problem language: tptp
% 0.23/0.54 % Proving...
% 54.60/8.64 % SZS status Started for theBenchmark.p
% 54.60/8.64 % SZS status Theorem for theBenchmark.p
% 54.60/8.64
% 54.60/8.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 54.60/8.64
% 54.60/8.64 % ------ iProver source info
% 54.60/8.64
% 54.60/8.64 % git: date: 2026-07-19 20:42:38 +0200
% 54.60/8.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 54.60/8.64 % git: non_committed_changes: false
% 54.60/8.64
% 54.60/8.64 % ------ Parsing...
% 54.60/8.64 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 54.60/8.64
% 54.60/8.64 % ------ 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 %
% 54.60/8.64
% 54.60/8.64 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 54.60/8.64
% 54.60/8.64 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 54.60/8.64 % ------ Proving...
% 54.60/8.64 % ------ Problem Properties
% 54.60/8.64
% 54.60/8.64 %
% 54.60/8.64 % clauses 122
% 54.60/8.64 % conjectures 10
% 54.60/8.64 % EPR 85
% 54.60/8.64 % Horn 112
% 54.60/8.64 % unary 10
% 54.60/8.64 % binary 37
% 54.60/8.64 % lits 338
% 54.60/8.64 % lits eq 4
% 54.60/8.64 % fd_pure 0
% 54.60/8.64 % fd_pseudo 0
% 54.60/8.64 % fd_cond 0
% 54.60/8.64 % fd_pseudo_cond 4
% 54.60/8.64 % AC symbols 0
% 54.60/8.64
% 54.60/8.64 % ------ Schedule dynamic 5 is on
% 54.60/8.64
% 54.60/8.64 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 54.60/8.64
% 54.60/8.64
% 54.60/8.64 % ------
% 54.60/8.64 % Current options:
% 54.60/8.64 % ------
% 54.60/8.64
% 54.60/8.64
% 54.60/8.64 %
% 54.60/8.64
% 54.60/8.64 % ------ Proving...
% 54.60/8.64 %
% 54.60/8.64
% 54.60/8.64 % SZS status Theorem for theBenchmark.p
% 54.60/8.64
% 54.60/8.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.60/8.65
% 54.60/8.65
%------------------------------------------------------------------------------