%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO601+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 : n001.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 01:21:36 PM UTC 2026
% Result : Theorem 30.18s 5.55s
% Output : CNFRefutation 30.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 94 ( 9 unt; 0 def)
% Number of atoms : 228 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 232 ( 98 ~; 99 |; 22 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 280 ( 0 sgn 264 !; 16 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
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(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(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
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(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X6,X1,X0,X2)
& circle(X5,X0,X3,X1)
& circle(X4,X0,X3,X2)
& coll(X3,X1,X2) )
=> cyclic(X0,X5,X6,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618063f) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X6,X1,X0,X2)
& circle(X5,X0,X3,X1)
& circle(X4,X0,X3,X2)
& coll(X3,X1,X2) )
=> cyclic(X0,X5,X6,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( circle(X6,X1,X0,X2)
& circle(X5,X0,X3,X1)
& circle(X4,X0,X3,X2)
& coll(X3,X1,X2)
& ~ cyclic(X0,X5,X6,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( circle(X6,X1,X0,X2)
& circle(X5,X0,X3,X1)
& circle(X4,X0,X3,X2)
& coll(X3,X1,X2)
& ~ cyclic(X0,X5,X6,X4) ),
inference(flattening,[],[f98]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f157,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(f158,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,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f42]) ).
fof(f160,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f159]) ).
fof(f162,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(f163,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f162]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f185,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(f189,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(f190,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f189]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f216,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(f220,plain,
( circle(sK6,sK1,sK0,sK2)
& circle(sK5,sK0,sK3,sK1)
& circle(sK4,sK0,sK3,sK2)
& coll(sK3,sK1,sK2)
& ~ cyclic(sK0,sK5,sK6,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f99]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK20(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X4,sK20(X0,X1,X2,X3))],[f136]) ).
fof(f240,plain,
circle(sK5,sK0,sK3,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
circle(sK4,sK0,sK3,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
~ cyclic(sK0,sK5,sK6,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK20(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f234]) ).
fof(f287,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,[],[f158]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f163]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f165]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f307,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f185]) ).
fof(f310,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,[],[f190]) ).
fof(f319,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f205]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f206]) ).
fof(f328,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,[],[f216]) ).
tcf(c_49,negated_conjecture,
~ cyclic(sK0,sK5,sK6,sK4),
inference(cnf_transformation,[],[f243]) ).
tcf(c_51,negated_conjecture,
circle(sK4,sK0,sK3,sK2),
inference(cnf_transformation,[],[f241]) ).
tcf(c_52,negated_conjecture,
circle(sK5,sK0,sK3,sK1),
inference(cnf_transformation,[],[f240]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK20(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_97,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,[],[f287]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_120,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,[],[f310]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_138,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,[],[f328]) ).
tcf(c_790,plain,
perp(sK20(sK0,sK3,sK2,sK4),sK0,sK0,sK4),
inference(resolution,[status(thm)],[c_51,c_85]) ).
tcf(c_836,plain,
perp(sK20(sK0,sK3,sK1,sK5),sK0,sK0,sK5),
inference(resolution,[status(thm)],[c_52,c_85]) ).
tcf(c_2362,plain,
( perp(sK20(sK0,sK3,sK2,sK4),sK0,sK4,sK0)
| ~ perp(sK20(sK0,sK3,sK2,sK4),sK0,sK0,sK4) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2378,plain,
( perp(sK20(sK0,sK3,sK1,sK5),sK0,sK5,sK0)
| ~ perp(sK20(sK0,sK3,sK1,sK5),sK0,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_130]) ).
tcf(c_2588,plain,
( perp(sK4,sK0,sK20(sK0,sK3,sK2,sK4),sK0)
| ~ perp(sK20(sK0,sK3,sK2,sK4),sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_2614,plain,
( perp(sK5,sK0,sK20(sK0,sK3,sK1,sK5),sK0)
| ~ perp(sK20(sK0,sK3,sK1,sK5),sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_3155,plain,
! [X0: $i,X1: $i] :
( para(sK4,sK0,X0,X1)
| ~ perp(sK4,sK0,sK20(sK0,sK3,sK2,sK4),sK0)
| ~ perp(sK20(sK0,sK3,sK2,sK4),sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_3417,plain,
! [X0: $i,X1: $i] :
( para(sK5,sK0,X0,X1)
| ~ perp(sK5,sK0,sK20(sK0,sK3,sK1,sK5),sK0)
| ~ perp(sK20(sK0,sK3,sK1,sK5),sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_8401,plain,
( para(sK4,sK0,sK4,sK0)
| ~ perp(sK4,sK0,sK20(sK0,sK3,sK2,sK4),sK0)
| ~ perp(sK20(sK0,sK3,sK2,sK4),sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_3155]) ).
tcf(c_8410,plain,
( para(sK5,sK0,sK5,sK0)
| ~ perp(sK5,sK0,sK20(sK0,sK3,sK1,sK5),sK0)
| ~ perp(sK20(sK0,sK3,sK1,sK5),sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_3417]) ).
tcf(c_46140,plain,
( cyclic(sK0,sK5,sK6,sK4)
| ~ cyclic(sK0,sK6,sK5,sK4) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_46156,plain,
! [X0: $i] :
( cyclic(sK0,sK6,sK5,sK4)
| ~ cyclic(X0,sK0,sK6,sK4)
| ~ cyclic(X0,sK0,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_46157,plain,
( cyclic(sK0,sK6,sK5,sK4)
| ~ cyclic(sK0,sK0,sK6,sK4)
| ~ cyclic(sK0,sK0,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_46156]) ).
tcf(c_46184,plain,
! [X0: $i] :
( cyclic(X0,sK0,sK5,sK6)
| ~ coll(sK5,sK6,sK0)
| ~ eqangle(sK5,X0,sK5,sK0,sK6,X0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_46185,plain,
( cyclic(sK0,sK0,sK5,sK6)
| ~ coll(sK5,sK6,sK0)
| ~ eqangle(sK5,sK0,sK5,sK0,sK6,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_46184]) ).
tcf(c_46361,plain,
! [X0: $i] :
( cyclic(X0,sK0,sK6,sK5)
| ~ cyclic(X0,sK0,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_46362,plain,
( cyclic(sK0,sK0,sK6,sK5)
| ~ cyclic(sK0,sK0,sK5,sK6) ),
inference(instantiation,[status(thm)],[c_46361]) ).
tcf(c_46427,plain,
! [X0: $i] :
( coll(sK5,sK6,sK0)
| cyclic(sK0,X0,sK5,sK6)
| ~ eqangle(sK5,sK0,sK5,X0,sK6,sK0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_46428,plain,
( coll(sK5,sK6,sK0)
| cyclic(sK0,sK0,sK5,sK6)
| ~ eqangle(sK5,sK0,sK5,sK0,sK6,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_46427]) ).
tcf(c_46594,plain,
! [X0: $i] :
( coll(sK4,sK6,sK0)
| cyclic(sK0,X0,sK4,sK6)
| ~ eqangle(sK4,sK0,sK4,X0,sK6,sK0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_46595,plain,
( coll(sK4,sK6,sK0)
| cyclic(sK0,sK0,sK4,sK6)
| ~ eqangle(sK4,sK0,sK4,sK0,sK6,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_46594]) ).
tcf(c_47500,plain,
! [X0: $i] :
( eqangle(sK5,sK0,sK5,X0,sK6,sK0,sK6,X0)
| ~ eqangle(sK5,sK0,sK6,sK0,sK5,X0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_47501,plain,
( eqangle(sK5,sK0,sK5,sK0,sK6,sK0,sK6,sK0)
| ~ eqangle(sK5,sK0,sK6,sK0,sK5,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_47500]) ).
tcf(c_47927,plain,
! [X0: $i] :
( eqangle(sK5,sK0,sK6,sK0,sK5,X0,sK6,sK0)
| ~ para(sK5,sK0,sK5,X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_47928,plain,
( eqangle(sK5,sK0,sK6,sK0,sK5,sK0,sK6,sK0)
| ~ para(sK5,sK0,sK5,sK0) ),
inference(instantiation,[status(thm)],[c_47927]) ).
tcf(c_48582,plain,
! [X0: $i] :
( cyclic(X0,sK0,sK6,sK4)
| ~ cyclic(X0,sK0,sK4,sK6) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_48583,plain,
( cyclic(sK0,sK0,sK6,sK4)
| ~ cyclic(sK0,sK0,sK4,sK6) ),
inference(instantiation,[status(thm)],[c_48582]) ).
tcf(c_50584,plain,
! [X0: $i] :
( eqangle(sK4,sK0,sK4,X0,sK6,sK0,sK6,X0)
| ~ eqangle(sK4,sK0,sK6,sK0,sK4,X0,sK6,X0) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_50585,plain,
( eqangle(sK4,sK0,sK4,sK0,sK6,sK0,sK6,sK0)
| ~ eqangle(sK4,sK0,sK6,sK0,sK4,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_50584]) ).
tcf(c_51813,plain,
! [X0: $i] :
( cyclic(X0,sK0,sK4,sK6)
| ~ coll(sK4,sK6,sK0)
| ~ eqangle(sK4,X0,sK4,sK0,sK6,X0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_51814,plain,
( cyclic(sK0,sK0,sK4,sK6)
| ~ coll(sK4,sK6,sK0)
| ~ eqangle(sK4,sK0,sK4,sK0,sK6,sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_51813]) ).
tcf(c_53021,plain,
! [X0: $i] :
( eqangle(sK4,sK0,sK6,sK0,sK4,X0,sK6,sK0)
| ~ para(sK4,sK0,sK4,X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_53022,plain,
( eqangle(sK4,sK0,sK6,sK0,sK4,sK0,sK6,sK0)
| ~ para(sK4,sK0,sK4,sK0) ),
inference(instantiation,[status(thm)],[c_53021]) ).
tcf(c_55393,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_53022,c_51814,c_50585,c_48583,c_47928,c_47501,c_46595,c_46428,c_46362,c_46185,c_46157,c_46140,c_8410,c_8401,c_2614,c_2588,c_2378,c_2362,c_836,c_790,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO601+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.55 % Computer : n001.cluster.edu
% 0.11/0.55 % Model : x86_64 x86_64
% 0.11/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.55 % Memory : 8046.5625MB
% 0.11/0.55 % OS : Linux 6.8.0-71-generic
% 0.11/0.56 % CPULimit : 300
% 0.11/0.56 % WCLimit : 300
% 0.11/0.56 % DateTime : Wed Sep 23 12:36:50 UTC 2026
% 0.11/0.56 % CPUTime :
% 0.11/0.56 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.59 Running first-order theorem proving
% 0.14/0.59 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.61
% 0.14/0.61 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.61
% 0.14/0.61 % Detected problem language: tptp
% 0.14/0.62 % Proving...
% 30.18/5.55 % SZS status Started for theBenchmark.p
% 30.18/5.55 % SZS status Theorem for theBenchmark.p
% 30.18/5.55
% 30.18/5.55 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 30.18/5.55
% 30.18/5.55 % ------ iProver source info
% 30.18/5.55
% 30.18/5.55 % git: date: 2026-07-19 20:42:38 +0200
% 30.18/5.55 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 30.18/5.55 % git: non_committed_changes: false
% 30.18/5.55
% 30.18/5.55 % ------ Parsing...
% 30.18/5.55 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 30.18/5.55
% 30.18/5.55 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 30.18/5.55
% 30.18/5.55 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 30.18/5.55 % ------ Proving...
% 30.18/5.55 % ------ Problem Properties
% 30.18/5.55
% 30.18/5.55 %
% 30.18/5.55 % clauses 92
% 30.18/5.55 % conjectures 5
% 30.18/5.55 % EPR 59
% 30.18/5.55 % Horn 87
% 30.18/5.55 % unary 5
% 30.18/5.55 % binary 24
% 30.18/5.55 % lits 261
% 30.18/5.55 % lits eq 0
% 30.18/5.55 % fd_pure 0
% 30.18/5.55 % fd_pseudo 0
% 30.18/5.55 % fd_cond 0
% 30.18/5.55 % fd_pseudo_cond 0
% 30.18/5.55 % AC symbols 0
% 30.18/5.55
% 30.18/5.55 % ------ Schedule dynamic 5 is on
% 30.18/5.55
% 30.18/5.55 % ------ no equalities: superposition off
% 30.18/5.55
% 30.18/5.55 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 30.18/5.55
% 30.18/5.55
% 30.18/5.55 % ------
% 30.18/5.55 % Current options:
% 30.18/5.55 % ------
% 30.18/5.55
% 30.18/5.55
% 30.18/5.55 %
% 30.18/5.55
% 30.18/5.55 % ------ Proving...
% 30.18/5.55 %
% 30.18/5.55
% 30.18/5.55 % SZS status Theorem for theBenchmark.p
% 30.18/5.55
% 30.18/5.55 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 30.18/5.55
% 30.18/5.55
%------------------------------------------------------------------------------