%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO647+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 : n017.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 01:21:44 PM UTC 2026
% Result : Theorem 29.30s 9.81s
% Output : CNFRefutation 29.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 24
% Syntax : Number of formulae : 218 ( 51 unt; 0 def)
% Number of atoms : 526 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 556 ( 248 ~; 242 |; 41 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 547 ( 0 sgn 533 !; 14 ?; 155 :)
% 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(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( para(X0,X2,X6,X5)
& para(X0,X5,X6,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2) )
=> para(X2,X4,X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( para(X0,X2,X6,X5)
& para(X0,X5,X6,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2) )
=> para(X2,X4,X6,X1) ),
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(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
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(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
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(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f113]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
fof(f159,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(f160,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,[],[f159]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
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(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
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(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( para(X0,X2,X6,X5)
& para(X0,X5,X6,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2)
& ~ para(X2,X4,X6,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( para(X0,X2,X6,X5)
& para(X0,X5,X6,X3)
& midp(X5,X2,X1)
& midp(X4,X1,X0)
& midp(X3,X0,X2)
& ~ para(X2,X4,X6,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( para(sK20,sK22,sK26,sK25)
& para(sK20,sK25,sK26,sK23)
& midp(sK25,sK22,sK21)
& midp(sK24,sK21,sK20)
& midp(sK23,sK20,sK22)
& ~ para(sK22,sK24,sK26,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
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(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f316,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,[],[f160]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
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(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
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(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f384,plain,
para(sK20,sK22,sK26,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
para(sK20,sK25,sK26,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
midp(sK25,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
midp(sK24,sK21,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
midp(sK23,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ para(sK22,sK24,sK26,sK21),
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_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
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_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
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_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X3,X2)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_94,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,[],[f316]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
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_112,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,[],[f334]) ).
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_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_162,negated_conjecture,
~ para(sK22,sK24,sK26,sK21),
inference(cnf_transformation,[],[f389]) ).
tcf(c_163,negated_conjecture,
midp(sK23,sK20,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_164,negated_conjecture,
midp(sK24,sK21,sK20),
inference(cnf_transformation,[],[f387]) ).
tcf(c_165,negated_conjecture,
midp(sK25,sK22,sK21),
inference(cnf_transformation,[],[f386]) ).
tcf(c_166,negated_conjecture,
para(sK20,sK25,sK26,sK23),
inference(cnf_transformation,[],[f385]) ).
tcf(c_167,negated_conjecture,
para(sK20,sK22,sK26,sK25),
inference(cnf_transformation,[],[f384]) ).
tcf(c_177,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_182,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_231,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_4273,negated_conjecture,
para(sK20,sK22,sK26,sK25),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4274,negated_conjecture,
para(sK20,sK25,sK26,sK23),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4275,negated_conjecture,
midp(sK25,sK22,sK21),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4276,negated_conjecture,
midp(sK24,sK21,sK20),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4277,negated_conjecture,
midp(sK23,sK20,sK22),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_5788,plain,
coll(sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_4277,c_118]) ).
tcf(c_5789,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_4276,c_118]) ).
tcf(c_5795,plain,
midp(sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_4277,c_59]) ).
tcf(c_5796,plain,
midp(sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_4276,c_59]) ).
tcf(c_5797,plain,
midp(sK25,sK21,sK22),
inference(superposition,[status(thm)],[c_4275,c_59]) ).
tcf(c_5811,plain,
para(sK20,sK22,sK25,sK26),
inference(superposition,[status(thm)],[c_4273,c_52]) ).
tcf(c_5812,plain,
coll(sK20,sK23,sK22),
inference(superposition,[status(thm)],[c_5788,c_50]) ).
tcf(c_5813,plain,
coll(sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_5788,c_49]) ).
tcf(c_5827,plain,
coll(sK20,sK22,sK23),
inference(superposition,[status(thm)],[c_5812,c_49]) ).
tcf(c_5861,plain,
para(sK26,sK23,sK20,sK25),
inference(superposition,[status(thm)],[c_4274,c_53]) ).
tcf(c_5886,plain,
para(sK26,sK23,sK25,sK20),
inference(superposition,[status(thm)],[c_5861,c_52]) ).
tcf(c_5995,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK20,X0) ),
inference(superposition,[status(thm)],[c_5788,c_51]) ).
tcf(c_5996,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_5789,c_51]) ).
tcf(c_5999,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK22,X0) ),
inference(superposition,[status(thm)],[c_5813,c_51]) ).
tcf(c_6004,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK22,X0) ),
inference(superposition,[status(thm)],[c_5827,c_51]) ).
tcf(c_6103,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_5789,c_5996]) ).
tcf(c_6106,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_6103,c_49]) ).
tcf(c_6121,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6106,c_51]) ).
tcf(c_6126,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_6121]) ).
tcf(c_6215,plain,
coll(sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_5813,c_5999]) ).
tcf(c_6217,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6215,c_51]) ).
tcf(c_6222,plain,
( coll(sK23,sK20,sK20)
| ~ coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6217]) ).
tcf(c_6345,plain,
( cong(sK23,sK20,sK23,sK22)
| ~ midp(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6346,plain,
( cong(sK24,sK21,sK24,sK20)
| ~ midp(sK24,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6376,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK21,X1)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_4275,c_93]) ).
tcf(c_6423,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK22,X1)
| ~ midp(sK23,sK20,sK22)
| ~ midp(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_6424,plain,
( para(sK20,sK20,sK22,sK20)
| ~ midp(sK23,sK20,sK20)
| ~ midp(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6423]) ).
tcf(c_6588,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK20,X1)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4276,c_112]) ).
tcf(c_6835,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK25,X0,X1)
| ~ para(sK26,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4274,c_54]) ).
tcf(c_6839,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK23,X0,X1)
| ~ para(sK20,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_5861,c_54]) ).
tcf(c_6853,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK25,X3,X1,X2)
| ~ midp(X3,sK22,X0)
| ~ para(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6376,c_54]) ).
tcf(c_7062,plain,
para(sK20,sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_5861,c_6835]) ).
tcf(c_7063,plain,
para(sK20,sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_5886,c_6835]) ).
tcf(c_7070,plain,
( cong(sK23,sK22,sK23,sK20)
| ~ midp(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_7107,plain,
coll(sK20,sK25,sK25),
inference(superposition,[status(thm)],[c_7062,c_115]) ).
tcf(c_7109,plain,
para(sK25,sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_7063,c_53]) ).
tcf(c_7416,plain,
! [X0: $i,X1: $i] :
( midp(sK25,X0,X1)
| ~ midp(sK25,sK21,sK22)
| ~ para(sK21,X1,sK22,X0)
| ~ para(sK21,X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_7417,plain,
( midp(sK25,sK20,sK20)
| ~ midp(sK25,sK21,sK22)
| ~ para(sK21,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_7416]) ).
tcf(c_7463,plain,
coll(sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_7107,c_50]) ).
tcf(c_7470,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_7463,c_49]) ).
tcf(c_7584,plain,
! [X0: $i,X1: $i] :
( cong(sK23,sK20,X0,X1)
| ~ cong(sK23,sK20,sK23,sK22)
| ~ cong(sK23,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_7660,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_7470,c_51]) ).
tcf(c_7665,plain,
( coll(sK20,sK20,sK25)
| ~ coll(sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_7660]) ).
tcf(c_7688,plain,
! [X0: $i] :
( circle(sK24,sK21,X0,sK20)
| ~ cong(sK24,sK21,sK24,sK20)
| ~ cong(sK24,sK21,sK24,X0) ),
inference(instantiation,[status(thm)],[c_60]) ).
tcf(c_7690,plain,
( circle(sK24,sK21,sK20,sK20)
| ~ cong(sK24,sK21,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_7688]) ).
tcf(c_7753,plain,
para(sK26,sK23,sK26,sK23),
inference(superposition,[status(thm)],[c_4274,c_6839]) ).
tcf(c_7789,plain,
coll(sK26,sK23,sK23),
inference(superposition,[status(thm)],[c_7753,c_115]) ).
tcf(c_7812,plain,
coll(sK23,sK26,sK23),
inference(superposition,[status(thm)],[c_7789,c_50]) ).
tcf(c_8009,plain,
coll(sK23,sK23,sK26),
inference(superposition,[status(thm)],[c_7812,c_49]) ).
tcf(c_8019,plain,
! [X0: $i] :
( coll(sK26,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_8009,c_51]) ).
tcf(c_8951,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_88,c_91]) ).
tcf(c_8964,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8951]) ).
tcf(c_8995,plain,
! [X0: $i] :
( midp(sK22,X0,sK26)
| ~ midp(sK20,X0,sK25)
| ~ coll(sK22,X0,sK26) ),
inference(superposition,[status(thm)],[c_5811,c_94]) ).
tcf(c_9037,plain,
! [X0: $i] :
( midp(sK20,X0,sK25)
| ~ midp(sK25,X0,sK20)
| ~ coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_7109,c_94]) ).
tcf(c_9321,plain,
( midp(sK20,sK20,sK25)
| ~ midp(sK25,sK20,sK20)
| ~ coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_9037]) ).
tcf(c_9338,plain,
( midp(sK22,sK20,sK26)
| ~ midp(sK20,sK20,sK25)
| ~ coll(sK22,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_8995]) ).
tcf(c_10431,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_5827,c_6004]) ).
tcf(c_10592,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK25,X0,sK20,X2)
| ~ midp(sK24,X1,X2)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_6588,c_6853]) ).
tcf(c_10649,plain,
! [X0: $i] :
( para(sK25,sK25,sK20,X0)
| ~ midp(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_4275,c_10592]) ).
tcf(c_10666,plain,
( para(sK25,sK25,sK20,sK20)
| ~ midp(sK24,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_10649]) ).
tcf(c_10681,plain,
! [X0: $i] :
( para(sK20,X0,sK25,sK25)
| ~ midp(sK24,sK21,X0) ),
inference(superposition,[status(thm)],[c_10649,c_53]) ).
tcf(c_10762,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK20,X2,X0,X1)
| ~ midp(sK24,sK21,X2)
| ~ para(sK25,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_10681,c_54]) ).
tcf(c_10792,plain,
( para(sK20,sK20,sK20,sK20)
| ~ midp(sK24,sK21,sK20)
| ~ para(sK25,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10762]) ).
tcf(c_11632,plain,
coll(sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_10431,c_49]) ).
tcf(c_11638,plain,
coll(sK22,sK23,sK23),
inference(superposition,[status(thm)],[c_11632,c_5995]) ).
tcf(c_11651,plain,
coll(sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_11638,c_50]) ).
tcf(c_11972,plain,
coll(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_11651,c_49]) ).
tcf(c_12182,plain,
! [X0: $i] :
( para(sK22,sK24,sK26,sK21)
| ~ midp(sK24,X0,sK21)
| ~ midp(sK22,X0,sK26) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_12183,plain,
( para(sK22,sK24,sK26,sK21)
| ~ midp(sK24,sK20,sK21)
| ~ midp(sK22,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_12182]) ).
tcf(c_12649,plain,
! [X0: $i,X1: $i] :
( midp(sK23,X0,X1)
| ~ coll(sK23,X0,X1)
| ~ cong(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_12650,plain,
( midp(sK23,sK20,sK20)
| ~ coll(sK23,sK20,sK20)
| ~ cong(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_12649]) ).
tcf(c_13854,plain,
! [X0: $i] :
( cong(sK23,sK20,sK23,X0)
| ~ cong(sK23,sK20,sK23,sK22)
| ~ cong(sK23,sK22,sK23,X0) ),
inference(instantiation,[status(thm)],[c_7584]) ).
tcf(c_13856,plain,
( cong(sK23,sK20,sK23,sK20)
| ~ cong(sK23,sK20,sK23,sK22)
| ~ cong(sK23,sK22,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_13854]) ).
tcf(c_17086,plain,
! [X0: $i,X1: $i] :
( perp(sK21,X1,X1,sK20)
| ~ coll(X0,sK21,sK20)
| ~ circle(X0,sK21,X1,sK20) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_20049,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK21,X3,sK22,X2)
| ~ para(sK21,X3,X0,X1)
| ~ para(X0,X1,sK22,X2) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_20050,plain,
( para(sK21,sK20,sK22,sK20)
| ~ para(sK20,sK20,sK22,sK20)
| ~ para(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20049]) ).
tcf(c_20262,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK21,X3,sK20,X2)
| ~ perp(sK21,X3,X0,X1)
| ~ perp(X0,X1,sK20,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_20263,plain,
( para(sK21,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20262]) ).
tcf(c_28845,plain,
coll(sK26,sK20,sK23),
inference(superposition,[status(thm)],[c_10431,c_8019]) ).
tcf(c_28846,plain,
coll(sK26,sK22,sK23),
inference(superposition,[status(thm)],[c_11972,c_8019]) ).
tcf(c_28899,plain,
coll(sK26,sK23,sK20),
inference(superposition,[status(thm)],[c_28845,c_49]) ).
tcf(c_28919,plain,
coll(sK26,sK23,sK22),
inference(superposition,[status(thm)],[c_28846,c_49]) ).
tcf(c_31611,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK23,X0) ),
inference(superposition,[status(thm)],[c_28919,c_51]) ).
tcf(c_31623,plain,
( coll(sK22,sK20,sK26)
| ~ coll(sK26,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_31611]) ).
tcf(c_74298,plain,
! [X0: $i] :
( perp(sK21,X0,X0,sK20)
| ~ coll(sK24,sK21,sK20)
| ~ circle(sK24,sK21,X0,sK20) ),
inference(instantiation,[status(thm)],[c_17086]) ).
tcf(c_74299,plain,
( perp(sK21,sK20,sK20,sK20)
| ~ coll(sK24,sK21,sK20)
| ~ circle(sK24,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_74298]) ).
tcf(c_74300,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_74299,c_31623,c_28899,c_20263,c_20050,c_13856,c_12650,c_12183,c_10792,c_10666,c_9338,c_9321,c_8964,c_7690,c_7665,c_7470,c_7417,c_7070,c_6424,c_6346,c_6345,c_6222,c_6126,c_6106,c_5795,c_5796,c_5797,c_5789,c_231,c_182,c_177,c_162,c_163,c_164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO647+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n017.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Wed Sep 23 12:35:07 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.43 % Detected problem language: tptp
% 0.15/5.45 % Proving...
% 29.30/9.81 % SZS status Started for theBenchmark.p
% 29.30/9.81 % SZS status Theorem for theBenchmark.p
% 29.30/9.81
% 29.30/9.81 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 29.30/9.81
% 29.30/9.81 % ------ iProver source info
% 29.30/9.81
% 29.30/9.81 % git: date: 2026-07-19 20:42:38 +0200
% 29.30/9.81 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 29.30/9.81 % git: non_committed_changes: false
% 29.30/9.81
% 29.30/9.81 % ------ Parsing...
% 29.30/9.81 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 29.30/9.81
% 29.30/9.81 % ------ 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 %
% 29.30/9.81
% 29.30/9.81 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 29.30/9.81
% 29.30/9.81 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 29.30/9.81 % ------ Proving...
% 29.30/9.81 % ------ Problem Properties
% 29.30/9.81
% 29.30/9.81 %
% 29.30/9.81 % clauses 118
% 29.30/9.81 % conjectures 6
% 29.30/9.81 % EPR 81
% 29.30/9.81 % Horn 108
% 29.30/9.81 % unary 6
% 29.30/9.81 % binary 37
% 29.30/9.81 % lits 334
% 29.30/9.81 % lits eq 4
% 29.30/9.81 % fd_pure 0
% 29.30/9.81 % fd_pseudo 0
% 29.30/9.81 % fd_cond 0
% 29.30/9.81 % fd_pseudo_cond 4
% 29.30/9.81 % AC symbols 0
% 29.30/9.81
% 29.30/9.81 % ------ Schedule dynamic 5 is on
% 29.30/9.81
% 29.30/9.81 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 29.30/9.81
% 29.30/9.81
% 29.30/9.81 % ------
% 29.30/9.81 % Current options:
% 29.30/9.81 % ------
% 29.30/9.81
% 29.30/9.81
% 29.30/9.81 %
% 29.30/9.81
% 29.30/9.81 % ------ Proving...
% 29.30/9.81 %
% 29.30/9.81
% 29.30/9.81 % SZS status Theorem for theBenchmark.p
% 29.30/9.81
% 29.30/9.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.30/9.81
% 29.30/9.81
%------------------------------------------------------------------------------