%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO592+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 01:21:34 PM UTC 2026
% Result : Theorem 21.42s 4.14s
% Output : CNFRefutation 21.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 218 ( 31 unt; 0 def)
% Number of atoms : 590 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 641 ( 269 ~; 262 |; 86 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 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 : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-6 aty)
% Number of variables : 566 ( 0 sgn 539 !; 27 ?; 171 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> cong(X8,X2,X8,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416054) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1) )
=> cong(X8,X2,X8,X0) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1)
& ~ cong(X8,X2,X8,X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( coll(X8,X0,X5)
& coll(X8,X2,X3)
& coll(X7,X0,X5)
& coll(X7,X1,X2)
& circle(X4,X2,X6,X11)
& coll(X6,X0,X5)
& coll(X5,X2,X4)
& perp(X5,X0,X2,X4)
& circle(X4,X2,X9,X10)
& midp(X4,X1,X0)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& perp(X2,X0,X2,X1)
& ~ cong(X8,X2,X8,X0) ),
inference(flattening,[],[f98]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f142,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(f143,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f142]) ).
fof(f150,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(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f157,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(f158,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,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f159]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f188,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(f192,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f206,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(f207,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,[],[f206]) ).
fof(f208,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(f209,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,[],[f208]) ).
fof(f213,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(f214,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f213]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f220,plain,
( coll(sK8,sK0,sK5)
& coll(sK8,sK2,sK3)
& coll(sK7,sK0,sK5)
& coll(sK7,sK1,sK2)
& circle(sK4,sK2,sK6,sK11)
& coll(sK6,sK0,sK5)
& coll(sK5,sK2,sK4)
& perp(sK5,sK0,sK2,sK4)
& circle(sK4,sK2,sK9,sK10)
& midp(sK4,sK1,sK0)
& coll(sK3,sK0,sK1)
& perp(sK3,sK2,sK0,sK1)
& perp(sK2,sK0,sK2,sK1)
& ~ cong(sK8,sK2,sK8,sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11)],[f99]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(sK25(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK25(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK25(X0,X1,X2,X3,X4,X5),X0,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X6,sK25(X0,X1,X2,X3,X4,X5))],[f155]) ).
fof(f239,plain,
coll(sK8,sK0,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f240,plain,
coll(sK8,sK2,sK3),
inference(cnf_transformation,[],[f220]) ).
fof(f241,plain,
coll(sK7,sK0,sK5),
inference(cnf_transformation,[],[f220]) ).
fof(f242,plain,
coll(sK7,sK1,sK2),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
coll(sK5,sK2,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f248,plain,
midp(sK4,sK1,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f251,plain,
perp(sK2,sK0,sK2,sK1),
inference(cnf_transformation,[],[f220]) ).
fof(f252,plain,
~ cong(sK8,sK2,sK8,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f278,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f279,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f280,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f289,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f293,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,[],[f151]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f298,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK25(X0,X1,X2,X3,X4,X5),X0,X3) ),
inference(cnf_transformation,[],[f234]) ).
fof(f299,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f300,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,[],[f158]) ).
fof(f301,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f303,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f318,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f188]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f193]) ).
fof(f332,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,[],[f207]) ).
fof(f333,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,[],[f209]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f214]) ).
fof(f338,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f216]) ).
fof(f339,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_49,negated_conjecture,
~ cong(sK8,sK2,sK8,sK0),
inference(cnf_transformation,[],[f252]) ).
tcf(c_50,negated_conjecture,
perp(sK2,sK0,sK2,sK1),
inference(cnf_transformation,[],[f251]) ).
tcf(c_53,negated_conjecture,
midp(sK4,sK1,sK0),
inference(cnf_transformation,[],[f248]) ).
tcf(c_56,negated_conjecture,
coll(sK5,sK2,sK4),
inference(cnf_transformation,[],[f245]) ).
tcf(c_59,negated_conjecture,
coll(sK7,sK1,sK2),
inference(cnf_transformation,[],[f242]) ).
tcf(c_60,negated_conjecture,
coll(sK7,sK0,sK5),
inference(cnf_transformation,[],[f241]) ).
tcf(c_61,negated_conjecture,
coll(sK8,sK2,sK3),
inference(cnf_transformation,[],[f240]) ).
tcf(c_62,negated_conjecture,
coll(sK8,sK0,sK5),
inference(cnf_transformation,[],[f239]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_99,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,[],[f289]) ).
tcf(c_103,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,[],[f293]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( midp(sK25(X1,X2,X4,X5,X0,X3),X1,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_110,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,[],[f300]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f301]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f303]) ).
tcf(c_128,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,[],[f318]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_132,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_142,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,[],[f332]) ).
tcf(c_143,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,[],[f333]) ).
tcf(c_146,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,[],[f336]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_160,plain,
( midp(sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_2188,plain,
( coll(sK5,sK4,sK2)
| ~ coll(sK5,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2191,plain,
( coll(sK7,sK5,sK0)
| ~ coll(sK7,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2192,plain,
( coll(sK8,sK3,sK2)
| ~ coll(sK8,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2193,plain,
( coll(sK8,sK5,sK0)
| ~ coll(sK8,sK0,sK5) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_2194,plain,
( midp(sK4,sK0,sK1)
| ~ midp(sK4,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_2208,plain,
! [X0: $i] :
( coll(sK2,X0,sK7)
| ~ coll(sK7,sK1,sK2)
| ~ coll(sK7,sK1,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2209,plain,
( coll(sK2,sK2,sK7)
| ~ coll(sK7,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_2208]) ).
tcf(c_2694,plain,
! [X0: $i] :
( coll(sK2,X0,sK5)
| ~ coll(sK5,sK4,sK2)
| ~ coll(sK5,sK4,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2697,plain,
( coll(sK2,sK2,sK5)
| ~ coll(sK5,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_2694]) ).
tcf(c_2775,plain,
! [X0: $i] :
( coll(sK0,X0,sK7)
| ~ coll(sK7,sK5,sK0)
| ~ coll(sK7,sK5,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2778,plain,
( coll(sK0,sK2,sK7)
| ~ coll(sK7,sK5,sK0)
| ~ coll(sK7,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_2775]) ).
tcf(c_2802,plain,
! [X0: $i] :
( coll(sK2,X0,sK8)
| ~ coll(sK8,sK3,sK2)
| ~ coll(sK8,sK3,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2805,plain,
( coll(sK2,sK2,sK8)
| ~ coll(sK8,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_2802]) ).
tcf(c_2829,plain,
! [X0: $i] :
( coll(sK0,X0,sK8)
| ~ coll(sK8,sK5,sK0)
| ~ coll(sK8,sK5,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_2832,plain,
( coll(sK0,sK2,sK8)
| ~ coll(sK8,sK5,sK0)
| ~ coll(sK8,sK5,sK2) ),
inference(instantiation,[status(thm)],[c_2829]) ).
tcf(c_2846,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK25(sK0,sK1,X1,X2,sK4,X0),sK0,X2)
| ~ midp(sK4,sK0,sK1)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_2934,plain,
coll(sK0,sK7,sK5),
inference(superposition,[status(thm)],[c_60,c_90]) ).
tcf(c_2936,plain,
coll(sK0,sK8,sK5),
inference(superposition,[status(thm)],[c_62,c_90]) ).
tcf(c_3048,plain,
coll(sK0,sK5,sK8),
inference(superposition,[status(thm)],[c_2936,c_91]) ).
tcf(c_3220,plain,
~ midp(sK8,sK2,sK0),
inference(superposition,[status(thm)],[c_109,c_49]) ).
tcf(c_3242,plain,
! [X0: $i] :
( coll(sK2,sK7,X0)
| ~ coll(sK2,X0,sK7) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_3244,plain,
( coll(sK2,sK7,sK2)
| ~ coll(sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_3242]) ).
tcf(c_3370,plain,
perp(sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_50,c_104]) ).
tcf(c_3594,plain,
coll(sK5,sK0,sK8),
inference(superposition,[status(thm)],[c_3048,c_90]) ).
tcf(c_3889,plain,
! [X0: $i] :
( coll(sK2,X0,sK7)
| ~ coll(sK7,sK1,X0) ),
inference(superposition,[status(thm)],[c_59,c_89]) ).
tcf(c_3898,plain,
! [X0: $i] :
( coll(sK5,X0,sK0)
| ~ coll(sK0,sK7,X0) ),
inference(superposition,[status(thm)],[c_2934,c_89]) ).
tcf(c_4025,plain,
( coll(sK5,sK2,sK0)
| ~ coll(sK0,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_3898]) ).
tcf(c_4352,plain,
! [X0: $i] :
( coll(sK8,sK0,X0)
| ~ coll(sK0,sK8,X0) ),
inference(instantiation,[status(thm)],[c_90]) ).
tcf(c_4353,plain,
( coll(sK8,sK0,sK2)
| ~ coll(sK0,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_4352]) ).
tcf(c_4383,plain,
! [X0: $i] :
( coll(sK8,sK2,X0)
| ~ coll(sK8,X0,sK2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_4386,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK0,X1)
| ~ coll(X0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_4398,plain,
! [X0: $i] :
( coll(sK8,sK5,X0)
| ~ coll(sK8,X0,sK5) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_4399,plain,
( coll(sK8,sK5,sK2)
| ~ coll(sK8,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_4398]) ).
tcf(c_4474,plain,
! [X0: $i,X1: $i] :
( coll(sK7,sK5,X0)
| ~ coll(X0,X1,sK7)
| ~ coll(X0,X1,sK5) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_4475,plain,
( coll(sK7,sK5,sK2)
| ~ coll(sK2,sK2,sK7)
| ~ coll(sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_4474]) ).
tcf(c_4813,plain,
coll(sK2,sK2,sK7),
inference(superposition,[status(thm)],[c_59,c_3889]) ).
tcf(c_4835,plain,
coll(sK2,sK7,sK2),
inference(superposition,[status(thm)],[c_4813,c_91]) ).
tcf(c_5061,plain,
! [X0: $i] :
( coll(sK8,X0,sK5)
| ~ coll(sK5,sK0,X0) ),
inference(superposition,[status(thm)],[c_3594,c_89]) ).
tcf(c_5066,plain,
( coll(sK8,sK2,sK5)
| ~ coll(sK5,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_5061]) ).
tcf(c_5763,plain,
! [X0: $i] :
( coll(sK0,sK7,X0)
| ~ coll(sK0,X0,sK7) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_5764,plain,
( coll(sK0,sK7,sK2)
| ~ coll(sK0,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_5763]) ).
tcf(c_5809,plain,
! [X0: $i] :
( coll(sK0,sK8,X0)
| ~ coll(sK0,X0,sK8) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_5810,plain,
( coll(sK0,sK8,sK2)
| ~ coll(sK0,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_5809]) ).
tcf(c_6092,plain,
! [X0: $i] :
( coll(sK2,X0,sK2)
| ~ coll(sK2,sK7,X0) ),
inference(superposition,[status(thm)],[c_4835,c_89]) ).
tcf(c_6097,plain,
( coll(sK2,sK2,sK2)
| ~ coll(sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_6092]) ).
tcf(c_6530,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK0,X0,X1)
| ~ perp(sK2,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_103]) ).
tcf(c_6696,plain,
( midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),sK0,sK0)
| ~ midp(sK4,sK1,sK0)
| ~ midp(sK4,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2846]) ).
tcf(c_7214,plain,
para(sK2,sK0,sK2,sK0),
inference(superposition,[status(thm)],[c_3370,c_6530]) ).
tcf(c_7324,plain,
! [X0: $i,X1: $i] :
( midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),X0,X1)
| ~ para(sK0,X1,sK0,X0)
| ~ para(sK0,X0,sK0,X1)
| ~ midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_7325,plain,
( midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),sK2,sK2)
| ~ para(sK0,sK2,sK0,sK2)
| ~ midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_7324]) ).
tcf(c_10225,plain,
( coll(sK8,sK2,sK0)
| ~ coll(sK8,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_4383]) ).
tcf(c_10282,plain,
( coll(sK5,sK0,sK2)
| ~ coll(sK5,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_4386]) ).
tcf(c_11919,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_128,c_143]) ).
tcf(c_11931,plain,
( cyclic(sK2,sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_11919]) ).
tcf(c_13629,plain,
! [X0: $i] :
( midp(X0,sK0,sK0)
| ~ midp(X0,sK2,sK2)
| ~ para(sK2,sK0,sK2,sK0) ),
inference(superposition,[status(thm)],[c_7214,c_110]) ).
tcf(c_13650,plain,
! [X0: $i] :
( midp(X0,sK0,sK0)
| ~ midp(X0,sK2,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13629,c_7214]) ).
tcf(c_13671,plain,
( midp(sK2,sK0,sK0)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_13650]) ).
tcf(c_18436,plain,
! [X0: $i,X1: $i] :
( para(X1,sK8,X0,sK0)
| ~ para(X0,sK0,X1,sK8) ),
inference(instantiation,[status(thm)],[c_131]) ).
tcf(c_18437,plain,
( para(sK2,sK8,sK2,sK0)
| ~ para(sK2,sK0,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_18436]) ).
tcf(c_19882,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK0,X0,X1)
| ~ perp(X0,X1,X0,sK0) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_19883,plain,
( perp(sK2,sK0,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_19882]) ).
tcf(c_26734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_128,c_142]) ).
tcf(c_26769,plain,
( cong(sK2,sK2,sK2,sK2)
| ~ cyclic(sK2,sK2,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_26734]) ).
tcf(c_28189,plain,
perp(sK2,sK1,sK2,sK0),
inference(superposition,[status(thm)],[c_50,c_104]) ).
tcf(c_28257,plain,
perp(sK2,sK1,sK0,sK2),
inference(superposition,[status(thm)],[c_28189,c_105]) ).
tcf(c_29189,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK0,X0,X1)
| ~ perp(sK2,sK1,X0,X1) ),
inference(superposition,[status(thm)],[c_50,c_103]) ).
tcf(c_29932,plain,
para(sK2,sK0,sK0,sK2),
inference(superposition,[status(thm)],[c_28257,c_29189]) ).
tcf(c_30205,plain,
para(sK0,sK2,sK2,sK0),
inference(superposition,[status(thm)],[c_29932,c_131]) ).
tcf(c_30432,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_30205,c_132]) ).
tcf(c_36011,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X2,X1,X3)
| ~ midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),X2,X3)
| ~ midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),X0,X1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_36019,plain,
( para(sK2,sK2,sK2,sK2)
| ~ midp(sK25(sK0,sK1,sK1,sK0,sK4,sK4),sK2,sK2) ),
inference(instantiation,[status(thm)],[c_36011]) ).
tcf(c_44229,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK8)
| ~ cong(X0,sK8,X1,sK8)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_44230,plain,
( perp(sK2,sK2,sK2,sK8)
| ~ cong(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK8,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_44229]) ).
tcf(c_44235,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK0)
| ~ cong(X0,sK0,X1,sK0)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_44236,plain,
( perp(sK2,sK2,sK2,sK0)
| ~ cong(sK2,sK0,sK2,sK0)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_44235]) ).
tcf(c_44979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK0,X3,sK8)
| ~ perp(X1,X2,X3,sK8)
| ~ perp(X0,sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_44980,plain,
( para(sK2,sK0,sK2,sK8)
| ~ perp(sK2,sK0,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_44979]) ).
tcf(c_50490,plain,
! [X0: $i,X1: $i] :
( midp(sK8,sK2,sK0)
| ~ coll(sK8,sK2,sK0)
| ~ midp(X0,sK2,X1)
| ~ para(X0,sK8,X1,sK0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_50491,plain,
( midp(sK8,sK2,sK0)
| ~ midp(sK2,sK2,sK2)
| ~ coll(sK8,sK2,sK0)
| ~ para(sK2,sK8,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_50490]) ).
tcf(c_59060,plain,
! [X0: $i] :
( cyclic(sK2,sK8,X0,sK8)
| ~ cyclic(sK2,X0,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_59061,plain,
( cyclic(sK2,sK8,sK2,sK8)
| ~ cyclic(sK2,sK2,sK8,sK8) ),
inference(instantiation,[status(thm)],[c_59060]) ).
tcf(c_59384,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X1,sK8,X1,sK8)
| ~ cyclic(X1,sK8,X0,sK8)
| ~ cyclic(X1,sK8,X0,X2)
| ~ cyclic(X1,sK8,X0,X1)
| ~ eqangle(X0,X1,X0,sK8,X2,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_142]) ).
tcf(c_59385,plain,
( cong(sK2,sK8,sK2,sK8)
| ~ cyclic(sK2,sK8,sK2,sK2)
| ~ cyclic(sK2,sK8,sK2,sK8)
| ~ eqangle(sK2,sK2,sK2,sK8,sK2,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_59384]) ).
tcf(c_59410,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X3,sK8)
| ~ cyclic(X0,X1,X2,sK8)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_146]) ).
tcf(c_59412,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK8)
| ~ cyclic(X0,X1,sK8,X2) ),
inference(instantiation,[status(thm)],[c_149]) ).
tcf(c_59413,plain,
( cyclic(sK2,sK2,sK2,sK8)
| ~ cyclic(sK2,sK2,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_59412]) ).
tcf(c_59898,plain,
( cong(sK2,sK0,sK2,sK0)
| ~ midp(sK2,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_60637,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK8,X2)
| ~ cyclic(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_60638,plain,
( cyclic(sK2,sK2,sK8,sK2)
| ~ cyclic(sK2,sK8,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_60637]) ).
tcf(c_62325,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK8,X0,X1,X0,sK8)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_128]) ).
tcf(c_62326,plain,
( eqangle(sK2,sK2,sK2,sK8,sK2,sK2,sK2,sK8)
| ~ para(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_62325]) ).
tcf(c_65695,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK8,X0,X2)
| ~ coll(X0,X2,sK8)
| ~ eqangle(X0,X1,X0,sK8,X2,X1,X2,sK8) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_65696,plain,
( cyclic(sK2,sK8,sK2,sK2)
| ~ coll(sK2,sK2,sK8)
| ~ eqangle(sK2,sK2,sK2,sK8,sK2,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_65695]) ).
tcf(c_70008,plain,
! [X0: $i,X1: $i] :
( cyclic(sK2,X1,sK8,sK8)
| ~ cyclic(X0,sK2,X1,sK8) ),
inference(instantiation,[status(thm)],[c_59410]) ).
tcf(c_70009,plain,
( cyclic(sK2,sK2,sK8,sK8)
| ~ cyclic(sK2,sK2,sK2,sK8) ),
inference(instantiation,[status(thm)],[c_70008]) ).
tcf(c_70010,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_70009,c_65696,c_62326,c_60638,c_59898,c_59413,c_59385,c_59061,c_50491,c_44980,c_44236,c_44230,c_36019,c_30432,c_26769,c_19883,c_18437,c_13671,c_11931,c_10282,c_10225,c_7325,c_6696,c_6097,c_5810,c_5764,c_5066,c_4475,c_4399,c_4353,c_4025,c_3244,c_3220,c_2832,c_2805,c_2778,c_2697,c_2209,c_2194,c_2193,c_2192,c_2191,c_2188,c_160,c_53,c_56,c_59,c_60,c_61,c_62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO592+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 12:29:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.41
% 0.09/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.41
% 0.09/0.41 % Detected problem language: tptp
% 0.09/0.42 % Proving...
% 21.42/4.14 % SZS status Started for theBenchmark.p
% 21.42/4.14 % SZS status Theorem for theBenchmark.p
% 21.42/4.14
% 21.42/4.14 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.42/4.14
% 21.42/4.14 % ------ iProver source info
% 21.42/4.14
% 21.42/4.14 % git: date: 2026-07-19 20:42:38 +0200
% 21.42/4.14 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.42/4.14 % git: non_committed_changes: false
% 21.42/4.14
% 21.42/4.14 % ------ Parsing...
% 21.42/4.14 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 21.42/4.14
% 21.42/4.14 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 21.42/4.14
% 21.42/4.14 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 21.42/4.14 % ------ Proving...
% 21.42/4.14 % ------ Problem Properties
% 21.42/4.14
% 21.42/4.14 %
% 21.42/4.14 % clauses 101
% 21.42/4.14 % conjectures 14
% 21.42/4.14 % EPR 68
% 21.42/4.14 % Horn 96
% 21.42/4.14 % unary 14
% 21.42/4.14 % binary 24
% 21.42/4.14 % lits 270
% 21.42/4.14 % lits eq 0
% 21.42/4.14 % fd_pure 0
% 21.42/4.14 % fd_pseudo 0
% 21.42/4.14 % fd_cond 0
% 21.42/4.14 % fd_pseudo_cond 0
% 21.42/4.14 % AC symbols 0
% 21.42/4.14
% 21.42/4.14 % ------ Schedule dynamic 5 is on
% 21.42/4.14
% 21.42/4.14 % ------ no equalities: superposition off
% 21.42/4.14
% 21.42/4.14 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 21.42/4.14
% 21.42/4.14
% 21.42/4.14 % ------
% 21.42/4.14 % Current options:
% 21.42/4.14 % ------
% 21.42/4.14
% 21.42/4.14
% 21.42/4.14 %
% 21.42/4.14
% 21.42/4.14 % ------ Proving...
% 21.42/4.14 %
% 21.42/4.14
% 21.42/4.14 % SZS status Theorem for theBenchmark.p
% 21.42/4.14
% 21.42/4.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.42/4.15
% 21.42/4.15
%------------------------------------------------------------------------------