%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO618+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 : n020.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 01:21:39 PM UTC 2026
% Result : Theorem 12.59s 4.34s
% Output : CNFRefutation 12.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 40
% Syntax : Number of formulae : 398 ( 127 unt; 0 def)
% Number of atoms : 827 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 778 ( 349 ~; 343 |; 45 &)
% ( 0 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 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 : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 1018 ( 0 sgn1006 !; 12 ?; 286 :)
% 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(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(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
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(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(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
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(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(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(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(f50,axiom,
! [X0,X1,X2,X3,X4] :
( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X3,X0,X0,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD49) ).
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(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(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X1,X2)
& perp(X0,X4,X0,X5)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& eqangle(X3,X0,X0,X2,X3,X0,X0,X1) )
=> cong(X5,X0,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618080) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X1,X2)
& perp(X0,X4,X0,X5)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& eqangle(X3,X0,X0,X2,X3,X0,X0,X1) )
=> cong(X5,X0,X5,X3) ),
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(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(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
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(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
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(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(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(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(f166,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(ennf_transformation,[],[f50]) ).
fof(f167,plain,
! [X0,X1,X2,X3,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(flattening,[],[f166]) ).
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(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(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5] :
( coll(X5,X1,X2)
& perp(X0,X4,X0,X5)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& eqangle(X3,X0,X0,X2,X3,X0,X0,X1)
& ~ cong(X5,X0,X5,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( coll(X5,X1,X2)
& perp(X0,X4,X0,X5)
& circle(X4,X0,X1,X2)
& coll(X3,X1,X2)
& eqangle(X3,X0,X0,X2,X3,X0,X0,X1)
& ~ cong(X5,X0,X5,X3) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK25,sK21,sK22)
& perp(sK20,sK24,sK20,sK25)
& circle(sK24,sK20,sK21,sK22)
& coll(sK23,sK21,sK22)
& eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21)
& ~ cong(sK25,sK20,sK25,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25)],[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(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(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
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(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
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(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(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(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(f320,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| perp(X3,X0,X0,X4) ),
inference(cnf_transformation,[],[f167]) ).
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(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(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f384,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK20,sK24,sK20,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
circle(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
coll(sK23,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ cong(sK25,sK20,sK25,sK23),
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_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_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
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_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
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_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_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_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_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X4,X0,X0,X1)
| ~ circle(X4,X0,X2,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2) ),
inference(cnf_transformation,[],[f320]) ).
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_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_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_162,negated_conjecture,
~ cong(sK25,sK20,sK25,sK23),
inference(cnf_transformation,[],[f389]) ).
tcf(c_163,negated_conjecture,
eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21),
inference(cnf_transformation,[],[f388]) ).
tcf(c_164,negated_conjecture,
coll(sK23,sK21,sK22),
inference(cnf_transformation,[],[f387]) ).
tcf(c_165,negated_conjecture,
circle(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f386]) ).
tcf(c_166,negated_conjecture,
perp(sK20,sK24,sK20,sK25),
inference(cnf_transformation,[],[f385]) ).
tcf(c_167,negated_conjecture,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f384]) ).
tcf(c_173,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_182,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_1809,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(X3,X0,X0,X4)
| ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ( X3 != sK24 )
| ( X2 != sK22 )
| ( X1 != sK21 )
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_165]) ).
tcf(c_1810,plain,
! [X0: $i] :
( perp(sK24,sK20,sK20,X0)
| ~ eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(unflattening,[status(thm)],[c_1809]) ).
tcf(c_1811,plain,
( perp(sK24,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_1810]) ).
tcf(c_4545,negated_conjecture,
coll(sK25,sK21,sK22),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4546,negated_conjecture,
perp(sK20,sK24,sK20,sK25),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4547,negated_conjecture,
circle(sK24,sK20,sK21,sK22),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4548,negated_conjecture,
coll(sK23,sK21,sK22),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4549,negated_conjecture,
eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_6089,plain,
coll(sK25,sK22,sK21),
inference(superposition,[status(thm)],[c_4545,c_49]) ).
tcf(c_6147,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_4548,c_51]) ).
tcf(c_6148,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_4545,c_51]) ).
tcf(c_6150,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_6089,c_51]) ).
tcf(c_6199,plain,
perp(sK20,sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_4546,c_55]) ).
tcf(c_6204,plain,
perp(sK20,sK25,sK20,sK24),
inference(superposition,[status(thm)],[c_4546,c_56]) ).
tcf(c_6213,plain,
perp(sK25,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_6199,c_56]) ).
tcf(c_6216,plain,
perp(sK20,sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_6204,c_55]) ).
tcf(c_6218,plain,
perp(sK25,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_6213,c_55]) ).
tcf(c_6225,plain,
coll(sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_4548,c_6147]) ).
tcf(c_6226,plain,
! [X0: $i] :
( coll(sK23,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6225,c_51]) ).
tcf(c_6236,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_4545,c_6148]) ).
tcf(c_6237,plain,
! [X0: $i] :
( coll(sK25,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6236,c_51]) ).
tcf(c_6239,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_6236,c_49]) ).
tcf(c_6249,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_6239,c_51]) ).
tcf(c_6270,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_6089,c_6150]) ).
tcf(c_6315,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_6270,c_49]) ).
tcf(c_6340,plain,
coll(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_6225,c_6226]) ).
tcf(c_6345,plain,
coll(sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_6340,c_49]) ).
tcf(c_6360,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_6236,c_6237]) ).
tcf(c_6362,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_6360,c_51]) ).
tcf(c_6397,plain,
! [X0: $i] :
( coll(sK21,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_6315,c_51]) ).
tcf(c_6416,plain,
! [X0: $i] :
( coll(sK23,X0,sK23)
| ~ coll(sK23,sK22,X0) ),
inference(superposition,[status(thm)],[c_6345,c_51]) ).
tcf(c_6750,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_4547,c_102]) ).
tcf(c_6788,plain,
( perp(sK21,sK22,sK20,sK21)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6750,c_56]) ).
tcf(c_6903,plain,
( cong(sK21,sK20,sK21,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK24,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6788,c_104]) ).
tcf(c_6964,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK24,X0,X1)
| ~ perp(sK20,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_4546,c_57]) ).
tcf(c_6967,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK25,X0,X1)
| ~ perp(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6204,c_57]) ).
tcf(c_6970,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK20,X0,X1)
| ~ perp(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_6218,c_57]) ).
tcf(c_7009,plain,
( para(sK25,sK20,sK20,sK20)
| ~ perp(sK24,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6970]) ).
tcf(c_7098,plain,
para(sK20,sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6216,c_6964]) ).
tcf(c_7110,plain,
para(sK24,sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_7098,c_53]) ).
tcf(c_7360,plain,
para(sK20,sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_4546,c_6967]) ).
tcf(c_7361,plain,
para(sK20,sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_6199,c_6967]) ).
tcf(c_7366,plain,
coll(sK20,sK25,sK25),
inference(superposition,[status(thm)],[c_7360,c_115]) ).
tcf(c_7368,plain,
coll(sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_7366,c_50]) ).
tcf(c_7375,plain,
para(sK25,sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_7361,c_53]) ).
tcf(c_7490,plain,
eqangle(sK20,sK23,sK20,sK22,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_4549,c_66]) ).
tcf(c_7507,plain,
eqangle(sK20,sK22,sK23,sK20,sK20,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_4549,c_67]) ).
tcf(c_7518,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_7368,c_49]) ).
tcf(c_7524,plain,
coll(sK22,sK20,sK25),
inference(superposition,[status(thm)],[c_7518,c_6362]) ).
tcf(c_7530,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_7524,c_49]) ).
tcf(c_7574,plain,
para(sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_7507,c_87]) ).
tcf(c_7576,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7574,c_54]) ).
tcf(c_7577,plain,
para(sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_7574,c_53]) ).
tcf(c_7578,plain,
para(sK20,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_7574,c_52]) ).
tcf(c_7579,plain,
coll(sK20,sK22,sK21),
inference(superposition,[status(thm)],[c_7574,c_115]) ).
tcf(c_7652,plain,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_4549,c_68]) ).
tcf(c_7653,plain,
eqangle(sK23,sK20,sK20,sK21,sK20,sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_7490,c_68]) ).
tcf(c_7654,plain,
eqangle(sK20,sK21,sK23,sK20,sK20,sK22,sK23,sK20),
inference(superposition,[status(thm)],[c_7507,c_68]) ).
tcf(c_7703,plain,
eqangle(sK23,sK20,sK23,sK20,sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_4549,c_69]) ).
tcf(c_7705,plain,
eqangle(sK20,sK22,sK20,sK21,sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_7507,c_69]) ).
tcf(c_7729,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_7530,c_50]) ).
tcf(c_7731,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_7530,c_6249]) ).
tcf(c_7743,plain,
coll(sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_7579,c_50]) ).
tcf(c_7767,plain,
coll(sK21,sK20,sK25),
inference(superposition,[status(thm)],[c_7729,c_6150]) ).
tcf(c_7771,plain,
eqangle(sK23,sK20,sK23,sK20,sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_7652,c_69]) ).
tcf(c_7774,plain,
eqangle(sK20,sK23,sK20,sK21,sK23,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_7652,c_66]) ).
tcf(c_7779,plain,
eqangle(sK23,sK20,sK20,sK23,sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_7653,c_69]) ).
tcf(c_7783,plain,
eqangle(sK20,sK21,sK20,sK22,sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_7654,c_69]) ).
tcf(c_7799,plain,
eqangle(sK20,sK23,sK23,sK20,sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_7771,c_66]) ).
tcf(c_7885,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_7731,c_49]) ).
tcf(c_7904,plain,
coll(sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_7767,c_50]) ).
tcf(c_7905,plain,
coll(sK21,sK25,sK20),
inference(superposition,[status(thm)],[c_7767,c_49]) ).
tcf(c_7912,plain,
para(sK24,sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_7110,c_52]) ).
tcf(c_7922,plain,
para(sK25,sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_7375,c_52]) ).
tcf(c_7965,plain,
para(sK20,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_7577,c_52]) ).
tcf(c_7974,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ para(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_7578,c_54]) ).
tcf(c_7981,plain,
( para(sK20,sK22,sK20,sK20)
| ~ para(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7974]) ).
tcf(c_8290,plain,
! [X0: $i] :
( midp(sK22,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_7574,c_94]) ).
tcf(c_8325,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_8290]) ).
tcf(c_8385,plain,
coll(sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_7885,c_6226]) ).
tcf(c_8485,plain,
coll(sK23,sK22,sK20),
inference(superposition,[status(thm)],[c_8385,c_49]) ).
tcf(c_8736,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_7904,c_49]) ).
tcf(c_8743,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_7905,c_6397]) ).
tcf(c_9364,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK22,X0) ),
inference(superposition,[status(thm)],[c_8485,c_51]) ).
tcf(c_9368,plain,
coll(sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_8485,c_6416]) ).
tcf(c_9373,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_9364]) ).
tcf(c_9391,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_8736,c_51]) ).
tcf(c_9397,plain,
( coll(sK21,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_9391]) ).
tcf(c_9846,plain,
( para(sK23,sK20,sK20,sK23)
| ~ para(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7779,c_122]) ).
tcf(c_9863,plain,
para(sK23,sK20,sK20,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_9846,c_7577]) ).
tcf(c_9990,plain,
( perp(sK20,sK21,sK20,sK22)
| ~ perp(sK23,sK20,sK23,sK20) ),
inference(superposition,[status(thm)],[c_7783,c_123]) ).
tcf(c_9992,plain,
( perp(sK20,sK23,sK23,sK20)
| ~ perp(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7799,c_123]) ).
tcf(c_10627,plain,
coll(sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_9368,c_49]) ).
tcf(c_12426,plain,
coll(sK24,sK20,sK20),
inference(superposition,[status(thm)],[c_7912,c_115]) ).
tcf(c_12454,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_12426,c_50]) ).
tcf(c_12459,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_12454,c_51]) ).
tcf(c_12461,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_12454,c_49]) ).
tcf(c_12464,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_12459]) ).
tcf(c_12465,plain,
! [X0: $i] :
( coll(sK24,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_12461,c_51]) ).
tcf(c_12683,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK20,sK20,sK22,X0,X1,X2,X3)
| ~ eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_4549,c_70]) ).
tcf(c_12686,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK20,sK20,sK21,X0,X1,X2,X3)
| ~ eqangle(sK23,sK20,sK20,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7652,c_70]) ).
tcf(c_12687,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,sK20,sK23,sK20,X0,X1,X2,X3)
| ~ eqangle(sK20,sK22,sK20,sK21,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7703,c_70]) ).
tcf(c_12697,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK20,sK22,sK20,sK21,X0,X1,X2,X3)
| ~ eqangle(sK23,sK20,sK23,sK20,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7705,c_70]) ).
tcf(c_12701,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK20,sK23,sK20,sK21,X0,X1,X2,X3)
| ~ eqangle(sK23,sK20,sK20,sK22,X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_7774,c_70]) ).
tcf(c_12910,plain,
coll(sK25,sK20,sK20),
inference(superposition,[status(thm)],[c_7922,c_115]) ).
tcf(c_12953,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_12910,c_50]) ).
tcf(c_12986,plain,
! [X0: $i,X1: $i] :
( eqangle(sK23,sK20,sK20,sK22,X0,X1,sK20,sK21)
| ~ para(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_12683]) ).
tcf(c_13860,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_7965,c_7576]) ).
tcf(c_13985,plain,
eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_4549,c_12686]) ).
tcf(c_14025,plain,
eqangle(sK23,sK20,sK23,sK20,sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_13985,c_69]) ).
tcf(c_14027,plain,
eqangle(sK20,sK21,sK23,sK20,sK20,sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_13985,c_67]) ).
tcf(c_14078,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_14027,c_87]) ).
tcf(c_14156,plain,
! [X0: $i,X1: $i] :
( eqangle(sK23,sK20,sK23,sK20,X0,X1,sK20,sK21)
| ~ para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_12687]) ).
tcf(c_14159,plain,
eqangle(sK23,sK20,sK23,sK20,sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_7705,c_12687]) ).
tcf(c_14581,plain,
( cong(sK20,sK20,sK21,sK21)
| ~ cyclic(sK20,sK20,sK23,sK21)
| ~ cyclic(sK20,sK20,sK23,sK20) ),
inference(superposition,[status(thm)],[c_14025,c_92]) ).
tcf(c_14853,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_14078,c_52]) ).
tcf(c_15266,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_13860,c_53]) ).
tcf(c_15606,plain,
eqangle(sK20,sK23,sK20,sK22,sK23,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_4549,c_66]) ).
tcf(c_15616,plain,
! [X0: $i] :
( midp(sK21,X0,sK20)
| ~ midp(sK20,X0,sK21)
| ~ coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_14853,c_94]) ).
tcf(c_15619,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_14853,c_53]) ).
tcf(c_15634,plain,
( midp(sK21,sK20,sK20)
| ~ midp(sK20,sK20,sK21)
| ~ coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_15616]) ).
tcf(c_15641,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_15266,c_52]) ).
tcf(c_15661,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_15619,c_52]) ).
tcf(c_15699,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_15641,c_115]) ).
tcf(c_15748,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_15699,c_50]) ).
tcf(c_15755,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_15748,c_49]) ).
tcf(c_15770,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_15661,c_115]) ).
tcf(c_15905,plain,
( cyclic(sK20,sK20,sK23,sK23)
| ~ coll(sK23,sK23,sK20) ),
inference(superposition,[status(thm)],[c_14159,c_91]) ).
tcf(c_15907,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK23,sK23)
| ~ cyclic(sK20,sK20,sK23,sK20) ),
inference(superposition,[status(thm)],[c_14159,c_92]) ).
tcf(c_15914,plain,
cyclic(sK20,sK20,sK23,sK23),
inference(forward_subsumption_resolution,[status(thm)],[c_15905,c_10627]) ).
tcf(c_15922,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK23,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15907,c_15914]) ).
tcf(c_15974,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_15770,c_50]) ).
tcf(c_15984,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_15974,c_49]) ).
tcf(c_16003,plain,
cyclic(sK20,sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_15914,c_63]) ).
tcf(c_16012,plain,
cyclic(sK23,sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_16003,c_64]) ).
tcf(c_16014,plain,
cyclic(sK20,sK23,sK23,sK20),
inference(superposition,[status(thm)],[c_16003,c_62]) ).
tcf(c_16031,plain,
! [X0: $i] :
( cyclic(sK20,sK20,sK23,X0)
| ~ cyclic(sK23,sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_16012,c_65]) ).
tcf(c_16034,plain,
cyclic(sK23,sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_16012,c_62]) ).
tcf(c_16040,plain,
( cyclic(sK20,sK20,sK23,sK20)
| ~ cyclic(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16031]) ).
tcf(c_16042,plain,
! [X0: $i] :
( cyclic(sK23,sK23,sK20,X0)
| ~ cyclic(sK20,sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_16014,c_65]) ).
tcf(c_16051,plain,
( cyclic(sK23,sK23,sK20,sK20)
| ~ cyclic(sK20,sK23,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_16042]) ).
tcf(c_16063,plain,
cyclic(sK23,sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_16034,c_63]) ).
tcf(c_16137,plain,
! [X0: $i] :
( cyclic(sK23,sK20,sK20,X0)
| ~ cyclic(sK23,sK23,sK20,X0) ),
inference(superposition,[status(thm)],[c_16063,c_65]) ).
tcf(c_16145,plain,
( cyclic(sK23,sK20,sK20,sK20)
| ~ cyclic(sK23,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16137]) ).
tcf(c_16483,plain,
( cong(sK21,sK20,sK21,sK21)
| ~ coll(sK24,sK20,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_6903,c_173,c_6903,c_7743,c_8325,c_12454,c_12464,c_15922,c_16014,c_16040,c_16051,c_16145]) ).
tcf(c_17035,plain,
eqangle(sK20,sK23,sK23,sK20,sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_15606,c_69]) ).
tcf(c_19967,plain,
! [X0: $i,X1: $i] :
( perp(sK23,sK20,sK23,sK20)
| ~ perp(X0,X1,sK20,sK21)
| ~ para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_14156,c_123]) ).
tcf(c_20003,plain,
( perp(sK23,sK20,sK23,sK20)
| ~ perp(sK20,sK20,sK20,sK21)
| ~ para(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19967]) ).
tcf(c_20181,plain,
! [X0: $i,X1: $i] :
( perp(X1,X0,X0,sK23)
| ~ perp(X0,sK23,X1,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_20182,plain,
( perp(sK20,sK20,sK20,sK23)
| ~ perp(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20181]) ).
tcf(c_20524,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK21,X1)
| ~ coll(X0,sK21,X1)
| ~ cong(X0,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_20525,plain,
( midp(sK20,sK21,sK20)
| ~ coll(sK20,sK21,sK20)
| ~ cong(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20524]) ).
tcf(c_23098,plain,
! [X0: $i] :
( cong(sK25,sK20,sK25,sK23)
| ~ midp(X0,sK20,sK23)
| ~ perp(sK25,X0,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_23099,plain,
( cong(sK25,sK20,sK25,sK23)
| ~ midp(sK20,sK20,sK23)
| ~ perp(sK25,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_23098]) ).
tcf(c_23163,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_15755,c_12465]) ).
tcf(c_23197,plain,
coll(sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_23163,c_49]) ).
tcf(c_23206,plain,
cong(sK21,sK20,sK21,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_16483,c_23197]) ).
tcf(c_23459,plain,
! [X0: $i] :
( midp(X0,sK20,sK23)
| ~ coll(X0,sK20,sK23)
| ~ cong(X0,sK20,X0,sK23) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_23460,plain,
( midp(sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK23)
| ~ cong(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_23459]) ).
tcf(c_25636,plain,
( cong(sK20,sK20,sK21,sK21)
| ~ cyclic(sK20,sK20,sK23,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_14581,c_14581,c_16014,c_16040,c_16051,c_16145]) ).
tcf(c_26612,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK21)
| ~ midp(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_26613,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_26612]) ).
tcf(c_27042,plain,
eqangle(sK20,sK22,sK20,sK21,sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_7703,c_12697]) ).
tcf(c_27152,plain,
eqangle(sK20,sK21,sK20,sK22,sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_27042,c_67]) ).
tcf(c_27364,plain,
( cyclic(sK21,sK22,sK20,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_27152,c_91]) ).
tcf(c_27368,plain,
cyclic(sK21,sK22,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_27364,c_15755]) ).
tcf(c_27515,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK23,sK20,sK21,X0,X1,sK20,sK21)
| ~ para(sK23,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_12986,c_12701]) ).
tcf(c_27572,plain,
( cyclic(sK23,sK21,sK20,sK20)
| ~ coll(sK20,sK20,sK21)
| ~ para(sK23,sK20,sK20,sK23) ),
inference(superposition,[status(thm)],[c_27515,c_91]) ).
tcf(c_27583,plain,
cyclic(sK23,sK21,sK20,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_27572,c_15984,c_9863]) ).
tcf(c_27676,plain,
( midp(sK21,sK20,sK21)
| ~ coll(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_23206,c_116]) ).
tcf(c_27682,plain,
cong(sK21,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_23206,c_72]) ).
tcf(c_27689,plain,
midp(sK21,sK20,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_27676,c_8743]) ).
tcf(c_27776,plain,
midp(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_27689,c_59]) ).
tcf(c_27801,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK20,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_27776,c_93]) ).
tcf(c_27808,plain,
( para(sK21,sK20,sK20,sK20)
| ~ midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_27801]) ).
tcf(c_28218,plain,
( perp(sK20,sK23,sK23,sK20)
| ~ perp(sK20,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_17035,c_123]) ).
tcf(c_28341,plain,
cyclic(sK21,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_27368,c_63]) ).
tcf(c_28351,plain,
cyclic(sK23,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_27583,c_63]) ).
tcf(c_28367,plain,
cong(sK21,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_27682,c_71]) ).
tcf(c_28663,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK21,X0,sK21)
| ~ midp(sK21,X0,X1)
| ~ perp(X0,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_28665,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28663]) ).
tcf(c_29240,plain,
cyclic(sK20,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_28341,c_64]) ).
tcf(c_29292,plain,
cyclic(sK20,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_28351,c_64]) ).
tcf(c_29484,plain,
cong(sK20,sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_28367,c_72]) ).
tcf(c_30127,plain,
cyclic(sK20,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_29240,c_62]) ).
tcf(c_30194,plain,
cyclic(sK20,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_29292,c_62]) ).
tcf(c_30217,plain,
! [X0: $i,X1: $i] :
( cong(sK20,sK21,X0,X1)
| ~ cong(sK21,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_29484,c_73]) ).
tcf(c_30226,plain,
( cong(sK20,sK21,sK20,sK20)
| ~ cong(sK21,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30217]) ).
tcf(c_31189,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK21)
| ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_31190,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_31189]) ).
tcf(c_31209,plain,
! [X0: $i,X1: $i] :
( perp(X0,sK23,X1,X0)
| ~ cong(X0,X1,sK23,X1)
| ~ cong(X0,X0,sK23,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_31210,plain,
( perp(sK20,sK23,sK20,sK20)
| ~ cong(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_31209]) ).
tcf(c_31219,plain,
cyclic(sK20,sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_30194,c_63]) ).
tcf(c_31226,plain,
cong(sK20,sK20,sK21,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_25636,c_31219]) ).
tcf(c_31525,plain,
cong(sK21,sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_31226,c_72]) ).
tcf(c_36214,plain,
( eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21)
| ~ cyclic(sK20,sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_37314,plain,
perp(sK20,sK23,sK23,sK20),
inference(global_subsumption_just,[status(thm)],[c_28218,c_182,c_7981,c_9397,c_9992,c_9990,c_12953,c_15634,c_15922,c_15974,c_16014,c_16040,c_16051,c_16145,c_20003,c_20525,c_26613,c_27808,c_28665,c_30226,c_31190,c_31525]) ).
tcf(c_37324,plain,
! [X0: $i] :
( cong(sK20,X0,sK23,X0)
| ~ midp(X0,sK20,sK20) ),
inference(superposition,[status(thm)],[c_37314,c_101]) ).
tcf(c_37339,plain,
( cong(sK20,sK20,sK23,sK20)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_37324]) ).
tcf(c_38499,plain,
! [X0: $i] :
( cong(X0,sK20,X0,sK23)
| ~ cong(X0,sK20,sK23,X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_38500,plain,
( cong(sK20,sK20,sK20,sK23)
| ~ cong(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_38499]) ).
tcf(c_42116,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK25,X0,sK20,sK23)
| ~ perp(X1,X2,sK20,sK23)
| ~ para(sK25,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_42117,plain,
( perp(sK25,sK20,sK20,sK23)
| ~ perp(sK20,sK20,sK20,sK23)
| ~ para(sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_42116]) ).
tcf(c_42118,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_42117,c_38500,c_37339,c_36214,c_31210,c_30127,c_23460,c_23099,c_20182,c_16145,c_16051,c_16040,c_16014,c_15922,c_12464,c_12454,c_9373,c_8485,c_7009,c_1811,c_173,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO618+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 12:35:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 12.59/4.34 % SZS status Started for theBenchmark.p
% 12.59/4.34 % SZS status Theorem for theBenchmark.p
% 12.59/4.34
% 12.59/4.34 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 12.59/4.34
% 12.59/4.34 % ------ iProver source info
% 12.59/4.34
% 12.59/4.34 % git: date: 2026-07-19 20:42:38 +0200
% 12.59/4.34 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 12.59/4.34 % git: non_committed_changes: false
% 12.59/4.34
% 12.59/4.34 % ------ Parsing...
% 12.59/4.34 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 12.59/4.34
% 12.59/4.34 % ------ 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 %
% 12.59/4.34
% 12.59/4.34 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 12.59/4.34
% 12.59/4.34 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 12.59/4.34 % ------ Proving...
% 12.59/4.34 % ------ Problem Properties
% 12.59/4.34
% 12.59/4.34 %
% 12.59/4.34 % clauses 118
% 12.59/4.34 % conjectures 6
% 12.59/4.34 % EPR 81
% 12.59/4.34 % Horn 108
% 12.59/4.34 % unary 6
% 12.59/4.34 % binary 37
% 12.59/4.34 % lits 334
% 12.59/4.35 % lits eq 4
% 12.59/4.35 % fd_pure 0
% 12.59/4.35 % fd_pseudo 0
% 12.59/4.35 % fd_cond 0
% 12.59/4.35 % fd_pseudo_cond 4
% 12.59/4.35 % AC symbols 0
% 12.59/4.35
% 12.59/4.35 % ------ Schedule dynamic 5 is on
% 12.59/4.35
% 12.59/4.35 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 12.59/4.35
% 12.59/4.35
% 12.59/4.35 % ------
% 12.59/4.35 % Current options:
% 12.59/4.35 % ------
% 12.59/4.35
% 12.59/4.35
% 12.59/4.35 %
% 12.59/4.35
% 12.59/4.35 % ------ Proving...
% 12.59/4.35 %
% 12.59/4.35
% 12.59/4.35 % SZS status Theorem for theBenchmark.p
% 12.59/4.35
% 12.59/4.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 12.59/4.35
% 12.59/4.35
%------------------------------------------------------------------------------