%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO657+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:46 PM UTC 2026
% Result : Theorem 77.28s 16.71s
% Output : CNFRefutation 77.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 35
% Syntax : Number of formulae : 322 ( 65 unt; 0 def)
% Number of atoms : 743 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 769 ( 348 ~; 341 |; 44 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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 : 954 ( 0 sgn 940 !; 14 ?; 291 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f27,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD27) ).
fof(f28,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD28) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD29) ).
fof(f30,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqratio(X8,X9,X10,X11,X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X8,X9,X10,X11) )
=> eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD30) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X1,X3)
& coll(X4,X0,X2)
& para(X0,X1,X2,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD65) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( cong(X4,X5,X6,X7)
& eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X6,X1,X2)
& coll(X5,X2,X3)
& para(X0,X3,X5,X4)
& para(X0,X1,X6,X4)
& coll(X4,X0,X2) )
=> para(X1,X3,X6,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02315) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X6,X1,X2)
& coll(X5,X2,X3)
& para(X0,X3,X5,X4)
& para(X0,X1,X6,X4)
& coll(X4,X0,X2) )
=> para(X1,X3,X6,X5) ),
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(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(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(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(f133,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f27]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f28]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f29]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqratio(X8,X9,X10,X11,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
| eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f30]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqratio(X8,X9,X10,X11,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
| eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f136]) ).
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(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(f161,plain,
! [X0,X1,X2] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
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(f195,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(flattening,[],[f195]) ).
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(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(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(flattening,[],[f212]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( coll(X6,X1,X2)
& coll(X5,X2,X3)
& para(X0,X3,X5,X4)
& para(X0,X1,X6,X4)
& coll(X4,X0,X2)
& ~ para(X1,X3,X6,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( coll(X6,X1,X2)
& coll(X5,X2,X3)
& para(X0,X3,X5,X4)
& para(X0,X1,X6,X4)
& coll(X4,X0,X2)
& ~ para(X1,X3,X6,X5) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK26,sK21,sK22)
& coll(sK25,sK22,sK23)
& para(sK20,sK23,sK25,sK24)
& para(sK20,sK21,sK26,sK24)
& coll(sK24,sK20,sK22)
& ~ para(sK21,sK23,sK26,sK25) ),
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(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(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(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(f297,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f133]) ).
fof(f298,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f134]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f135]) ).
fof(f300,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqratio(X8,X9,X10,X11,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
| eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f137]) ).
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(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(f317,plain,
! [X2,X0,X1] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
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(f336,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[],[f196]) ).
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(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(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f213]) ).
fof(f384,plain,
coll(sK26,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
coll(sK25,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
para(sK20,sK23,sK25,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
para(sK20,sK21,sK26,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ para(sK21,sK23,sK26,sK25),
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_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_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_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_75,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqratio(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f297]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqratio(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f298]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_78,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] :
( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqratio(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f300]) ).
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_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_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X1,X2,X1,X2,X0,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f317]) ).
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_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ coll(X4,X1,X3)
| ~ coll(X4,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f336]) ).
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_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_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f346]) ).
tcf(c_162,negated_conjecture,
~ para(sK21,sK23,sK26,sK25),
inference(cnf_transformation,[],[f389]) ).
tcf(c_163,negated_conjecture,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_164,negated_conjecture,
para(sK20,sK21,sK26,sK24),
inference(cnf_transformation,[],[f387]) ).
tcf(c_165,negated_conjecture,
para(sK20,sK23,sK25,sK24),
inference(cnf_transformation,[],[f386]) ).
tcf(c_166,negated_conjecture,
coll(sK25,sK22,sK23),
inference(cnf_transformation,[],[f385]) ).
tcf(c_167,negated_conjecture,
coll(sK26,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_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,
coll(sK26,sK21,sK22),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4274,negated_conjecture,
coll(sK25,sK22,sK23),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4275,negated_conjecture,
para(sK20,sK23,sK25,sK24),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4276,negated_conjecture,
para(sK20,sK21,sK26,sK24),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4277,negated_conjecture,
coll(sK24,sK20,sK22),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_5776,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_4277,c_49]) ).
tcf(c_5777,plain,
coll(sK25,sK23,sK22),
inference(superposition,[status(thm)],[c_4274,c_49]) ).
tcf(c_5778,plain,
coll(sK26,sK22,sK21),
inference(superposition,[status(thm)],[c_4273,c_49]) ).
tcf(c_5785,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_4277,c_50]) ).
tcf(c_5787,plain,
coll(sK21,sK26,sK22),
inference(superposition,[status(thm)],[c_4273,c_50]) ).
tcf(c_5836,plain,
para(sK20,sK21,sK24,sK26),
inference(superposition,[status(thm)],[c_4276,c_52]) ).
tcf(c_5837,plain,
para(sK20,sK23,sK24,sK25),
inference(superposition,[status(thm)],[c_4275,c_52]) ).
tcf(c_5842,plain,
para(sK26,sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_4276,c_53]) ).
tcf(c_5853,plain,
para(sK26,sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_5842,c_52]) ).
tcf(c_5860,plain,
para(sK21,sK20,sK26,sK24),
inference(superposition,[status(thm)],[c_5853,c_53]) ).
tcf(c_5896,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
tcf(c_5909,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_5896,c_72]) ).
tcf(c_5968,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK20,X0) ),
inference(superposition,[status(thm)],[c_4277,c_51]) ).
tcf(c_5969,plain,
! [X0: $i] :
( coll(sK23,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_4274,c_51]) ).
tcf(c_5970,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK21,X0) ),
inference(superposition,[status(thm)],[c_4273,c_51]) ).
tcf(c_5971,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK22,X0) ),
inference(superposition,[status(thm)],[c_5776,c_51]) ).
tcf(c_5972,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_5777,c_51]) ).
tcf(c_5973,plain,
! [X0: $i] :
( coll(sK21,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_5778,c_51]) ).
tcf(c_5974,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_5785,c_51]) ).
tcf(c_5976,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK26,X0) ),
inference(superposition,[status(thm)],[c_5787,c_51]) ).
tcf(c_6033,plain,
( coll(sK21,sK20,sK26)
| ~ coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_5973]) ).
tcf(c_6035,plain,
( coll(sK20,sK20,sK24)
| ~ coll(sK24,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_5971]) ).
tcf(c_6042,plain,
coll(sK22,sK22,sK24),
inference(superposition,[status(thm)],[c_4277,c_5968]) ).
tcf(c_6059,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6042,c_51]) ).
tcf(c_6090,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_4273,c_5970]) ).
tcf(c_6091,plain,
! [X0: $i] :
( coll(sK26,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6090,c_51]) ).
tcf(c_6113,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_5776,c_5971]) ).
tcf(c_6117,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_6113,c_49]) ).
tcf(c_6125,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_5777,c_5972]) ).
tcf(c_6162,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_6117,c_51]) ).
tcf(c_6167,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_6162]) ).
tcf(c_6168,plain,
! [X0: $i] :
( coll(sK25,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6125,c_51]) ).
tcf(c_6184,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_5785,c_5974]) ).
tcf(c_6207,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_5787,c_5976]) ).
tcf(c_6222,plain,
coll(sK24,sK21,sK22),
inference(superposition,[status(thm)],[c_6207,c_6059]) ).
tcf(c_6247,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X0,X1)
| ~ cong(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_87]) ).
tcf(c_6315,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,X0,X1,sK26,sK24,X0,X1)
| ~ para(sK20,sK21,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_6316,plain,
( eqangle(sK20,sK21,sK20,sK20,sK26,sK24,sK20,sK20)
| ~ para(sK20,sK21,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_6315]) ).
tcf(c_6324,plain,
coll(sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_6184,c_6091]) ).
tcf(c_6336,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK20,sK21,sK26,sK24)
| ~ eqangle(X0,X1,X2,X3,sK20,sK21,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_6337,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK21,sK26,sK24)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_6336]) ).
tcf(c_6387,plain,
! [X0: $i] :
( eqratio(X0,sK20,sK20,sK26,X0,sK21,sK21,sK24)
| ~ coll(X0,sK20,sK26)
| ~ coll(X0,sK21,sK24)
| ~ para(sK20,sK21,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_114]) ).
tcf(c_6388,plain,
( eqratio(sK20,sK20,sK20,sK26,sK20,sK21,sK21,sK24)
| ~ coll(sK20,sK20,sK26)
| ~ coll(sK20,sK21,sK24)
| ~ para(sK20,sK21,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_6387]) ).
tcf(c_6458,plain,
coll(sK24,sK22,sK21),
inference(superposition,[status(thm)],[c_6222,c_49]) ).
tcf(c_6531,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_6324,c_49]) ).
tcf(c_6558,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ para(sK26,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4276,c_54]) ).
tcf(c_6562,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK24,X0,X1)
| ~ para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_5842,c_54]) ).
tcf(c_6566,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK24,X0,X1)
| ~ para(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_5853,c_54]) ).
tcf(c_6570,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK20,X0,X1)
| ~ para(sK26,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_5860,c_54]) ).
tcf(c_6776,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_5842,c_6558]) ).
tcf(c_6777,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_5853,c_6558]) ).
tcf(c_6785,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,sK26,sK24,X0,X1,X0,X1)
| ~ eqangle(sK20,sK21,X0,X1,sK26,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_6792,plain,
( eqangle(sK20,sK21,sK26,sK24,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK20,sK20,sK26,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6785]) ).
tcf(c_6809,plain,
coll(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_6776,c_115]) ).
tcf(c_6812,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_6777,c_53]) ).
tcf(c_7219,plain,
coll(sK20,sK21,sK24),
inference(superposition,[status(thm)],[c_6458,c_5971]) ).
tcf(c_7403,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_6809,c_50]) ).
tcf(c_7518,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_6531,c_51]) ).
tcf(c_7524,plain,
( coll(sK20,sK20,sK26)
| ~ coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_7518]) ).
tcf(c_7543,plain,
! [X0: $i] :
( eqratio(X0,sK21,sK21,sK24,X0,sK20,sK20,sK26)
| ~ eqratio(X0,sK20,sK20,sK26,X0,sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_76]) ).
tcf(c_7544,plain,
! [X0: $i] :
( eqratio(sK20,sK26,X0,sK20,sK21,sK24,X0,sK21)
| ~ eqratio(X0,sK20,sK20,sK26,X0,sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_7546,plain,
( eqratio(sK20,sK26,sK20,sK20,sK21,sK24,sK20,sK21)
| ~ eqratio(sK20,sK20,sK20,sK26,sK20,sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_7544]) ).
tcf(c_7547,plain,
( eqratio(sK20,sK21,sK21,sK24,sK20,sK20,sK20,sK26)
| ~ eqratio(sK20,sK20,sK20,sK26,sK20,sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_7543]) ).
tcf(c_7758,plain,
! [X0: $i] :
( coll(X0,sK20,sK21)
| ~ coll(X0,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7774,plain,
coll(sK26,sK22,sK21),
inference(superposition,[status(thm)],[c_4273,c_49]) ).
tcf(c_7781,plain,
coll(sK20,sK24,sK22),
inference(superposition,[status(thm)],[c_4277,c_50]) ).
tcf(c_7792,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_7805,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7792]) ).
tcf(c_7863,plain,
! [X0: $i] :
( midp(sK21,X0,sK26)
| ~ midp(sK20,X0,sK24)
| ~ coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_5836,c_94]) ).
tcf(c_7864,plain,
! [X0: $i] :
( midp(sK23,X0,sK25)
| ~ midp(sK20,X0,sK24)
| ~ coll(sK23,X0,sK25) ),
inference(superposition,[status(thm)],[c_5837,c_94]) ).
tcf(c_7873,plain,
! [X0: $i] :
( midp(sK20,X0,sK24)
| ~ midp(sK21,X0,sK26)
| ~ coll(sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_5860,c_94]) ).
tcf(c_7877,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_6776,c_94]) ).
tcf(c_7964,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7877]) ).
tcf(c_7968,plain,
( midp(sK20,sK20,sK24)
| ~ midp(sK21,sK20,sK26)
| ~ coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_7873]) ).
tcf(c_7978,plain,
( midp(sK21,sK20,sK26)
| ~ midp(sK20,sK20,sK24)
| ~ coll(sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_7863]) ).
tcf(c_8170,plain,
para(sK20,sK21,sK24,sK26),
inference(superposition,[status(thm)],[c_4276,c_52]) ).
tcf(c_8796,plain,
! [X0: $i] :
( midp(sK20,X0,sK21)
| ~ midp(sK21,X0,sK20)
| ~ coll(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_6812,c_94]) ).
tcf(c_8800,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_6812,c_52]) ).
tcf(c_8837,plain,
! [X0: $i] :
( coll(X0,sK21,sK20)
| ~ coll(sK21,X0,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_8887,plain,
! [X0: $i] :
( coll(sK22,X0,sK26)
| ~ coll(sK26,sK21,X0) ),
inference(superposition,[status(thm)],[c_4273,c_51]) ).
tcf(c_8890,plain,
! [X0: $i] :
( coll(sK21,X0,sK26)
| ~ coll(sK26,sK22,X0) ),
inference(superposition,[status(thm)],[c_7774,c_51]) ).
tcf(c_8891,plain,
! [X0: $i] :
( coll(sK22,X0,sK20)
| ~ coll(sK20,sK24,X0) ),
inference(superposition,[status(thm)],[c_7781,c_51]) ).
tcf(c_9029,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(X0,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_9186,plain,
coll(sK25,sK20,sK22),
inference(superposition,[status(thm)],[c_6184,c_6168]) ).
tcf(c_9198,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_9186,c_49]) ).
tcf(c_9290,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6776,c_113]) ).
tcf(c_9335,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9290,c_6776]) ).
tcf(c_9386,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9335]) ).
tcf(c_9636,plain,
coll(sK22,sK22,sK26),
inference(superposition,[status(thm)],[c_4273,c_8887]) ).
tcf(c_9686,plain,
! [X0: $i] :
( coll(sK26,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_9636,c_51]) ).
tcf(c_10144,plain,
! [X0: $i] :
( eqratio(sK21,sK24,X0,sK21,sK20,sK26,X0,sK20)
| ~ eqratio(X0,sK21,sK21,sK24,X0,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_10147,plain,
( eqratio(sK21,sK24,sK20,sK21,sK20,sK26,sK20,sK20)
| ~ eqratio(sK20,sK21,sK21,sK24,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_10144]) ).
tcf(c_10358,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_7781,c_8891]) ).
tcf(c_10433,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ midp(sK21,X0,sK20) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_10521,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqratio(sK20,sK26,X0,sK20,X1,X2,X3,X4)
| ~ eqratio(sK20,sK26,X0,sK20,sK21,sK24,X0,sK21)
| ~ eqratio(sK21,sK24,X0,sK21,X1,X2,X3,X4) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_11260,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK20,sK21,sK26,sK24)
| ~ eqangle(sK20,sK21,sK26,sK24,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_11265,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK26,sK24)
| ~ eqangle(sK20,sK21,sK26,sK24,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11260]) ).
tcf(c_11651,plain,
coll(sK26,sK20,sK22),
inference(superposition,[status(thm)],[c_10358,c_9686]) ).
tcf(c_12449,plain,
coll(sK23,sK20,sK25),
inference(superposition,[status(thm)],[c_9198,c_5969]) ).
tcf(c_12482,plain,
( midp(sK23,sK20,sK25)
| ~ midp(sK20,sK20,sK24) ),
inference(superposition,[status(thm)],[c_12449,c_7864]) ).
tcf(c_13302,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_11651,c_49]) ).
tcf(c_13826,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20) ),
inference(superposition,[status(thm)],[c_7403,c_7877]) ).
tcf(c_16919,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_8800,c_113]) ).
tcf(c_16931,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16919,c_8800]) ).
tcf(c_19918,plain,
coll(sK21,sK20,sK26),
inference(superposition,[status(thm)],[c_13302,c_8890]) ).
tcf(c_20032,plain,
midp(sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_13826,c_164,c_173,c_177,c_231,c_6117,c_6167,c_6316,c_6337,c_6792,c_7403,c_7805,c_7964,c_11265]) ).
tcf(c_20037,plain,
midp(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_20032,c_59]) ).
tcf(c_21532,plain,
! [X0: $i] :
( eqratio(sK20,sK26,X0,sK20,sK20,sK26,X0,sK20)
| ~ eqratio(sK20,sK26,X0,sK20,sK21,sK24,X0,sK21)
| ~ eqratio(sK21,sK24,X0,sK21,sK20,sK26,X0,sK20) ),
inference(instantiation,[status(thm)],[c_10521]) ).
tcf(c_21533,plain,
( eqratio(sK20,sK26,sK20,sK20,sK20,sK26,sK20,sK20)
| ~ eqratio(sK20,sK26,sK20,sK20,sK21,sK24,sK20,sK21)
| ~ eqratio(sK21,sK24,sK20,sK21,sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21532]) ).
tcf(c_23414,plain,
! [X0: $i] :
( midp(sK21,X0,sK26)
| ~ midp(sK20,X0,sK24)
| ~ coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_8170,c_94]) ).
tcf(c_24072,plain,
( midp(sK21,sK20,sK26)
| ~ midp(sK20,sK20,sK24) ),
inference(superposition,[status(thm)],[c_19918,c_23414]) ).
tcf(c_27761,plain,
! [X0: $i] :
( midp(sK20,X0,sK21)
| ~ midp(sK21,X0,sK20) ),
inference(global_subsumption_just,[status(thm)],[c_8796,c_7758,c_8796,c_8837,c_9029,c_10433]) ).
tcf(c_27768,plain,
midp(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_20037,c_27761]) ).
tcf(c_27846,plain,
! [X0: $i] :
( para(sK21,sK23,sK26,sK25)
| ~ midp(sK23,X0,sK25)
| ~ midp(sK21,X0,sK26) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_27847,plain,
( para(sK21,sK23,sK26,sK25)
| ~ midp(sK23,sK20,sK25)
| ~ midp(sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_27846]) ).
tcf(c_29412,plain,
midp(sK20,sK20,sK20),
inference(superposition,[status(thm)],[c_27768,c_16931]) ).
tcf(c_29530,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK20,X1)
| ~ midp(sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_29412,c_112]) ).
tcf(c_32365,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK21,X2,sK26)
| ~ coll(sK21,X2,sK26)
| ~ midp(X0,X2,X1)
| ~ para(X0,sK21,X1,sK26) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_32366,plain,
( midp(sK21,sK20,sK26)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK21,sK20,sK26)
| ~ para(sK20,sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_32365]) ).
tcf(c_37725,plain,
~ midp(sK20,sK20,sK24),
inference(global_subsumption_just,[status(thm)],[c_24072,c_162,c_6033,c_6531,c_7978,c_12482,c_27847]) ).
tcf(c_37965,plain,
! [X0: $i,X1: $i] :
( para(sK20,X1,sK20,X0)
| ~ midp(sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_29530,c_53]) ).
tcf(c_46458,plain,
! [X0: $i] :
( para(sK26,sK24,sK20,X0)
| ~ midp(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_37965,c_6562]) ).
tcf(c_46786,plain,
! [X0: $i] :
( para(sK26,sK24,X0,sK20)
| ~ midp(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_46458,c_52]) ).
tcf(c_57167,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,sK26,X1,sK26)
| ~ cong(X2,X3,X4,X5)
| ~ eqratio(X0,sK26,X1,sK26,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_124]) ).
tcf(c_57168,plain,
( cong(sK20,sK26,sK20,sK26)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ eqratio(sK20,sK26,sK20,sK26,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_57167]) ).
tcf(c_57257,plain,
! [X0: $i] :
( para(sK20,sK21,X0,sK20)
| ~ midp(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_46786,c_6558]) ).
tcf(c_57689,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK21,X3,sK26)
| ~ perp(X1,X2,X3,sK26)
| ~ perp(X0,sK21,X1,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_57694,plain,
( para(sK20,sK21,sK20,sK26)
| ~ perp(sK20,sK20,sK20,sK26)
| ~ perp(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_57689]) ).
tcf(c_57720,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(sK20,sK21,X1,X2)
| ~ midp(sK20,X0,sK21)
| ~ perp(X0,sK20,X1,X2) ),
inference(superposition,[status(thm)],[c_57257,c_58]) ).
tcf(c_57753,plain,
( perp(sK20,sK21,sK20,sK20)
| ~ midp(sK20,sK20,sK21)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_57720]) ).
tcf(c_98627,plain,
! [X0: $i,X1: $i] :
( para(X0,X0,X0,X1)
| ~ midp(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_5909,c_6247]) ).
tcf(c_98755,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,X0,X0)
| ~ midp(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_98627,c_53]) ).
tcf(c_100028,plain,
( para(sK26,sK24,sK21,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_98755,c_6566]) ).
tcf(c_100044,plain,
para(sK26,sK24,sK21,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_100028,c_20032]) ).
tcf(c_100436,plain,
para(sK21,sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_100044,c_6570]) ).
tcf(c_101015,plain,
! [X0: $i] :
( midp(X0,sK20,sK21)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_100436,c_113]) ).
tcf(c_101019,plain,
para(sK21,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_100436,c_53]) ).
tcf(c_101037,plain,
! [X0: $i] :
( midp(X0,sK20,sK21)
| ~ midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_101015,c_101019]) ).
tcf(c_101040,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_101037]) ).
tcf(c_147440,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X2,X1,sK26)
| ~ cong(X0,sK26,X2,sK26)
| ~ cong(X0,X1,X2,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_147441,plain,
( perp(sK20,sK20,sK20,sK26)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_147440]) ).
tcf(c_149938,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqratio(X0,sK26,X3,sK26,X1,X2,X4,X5)
| ~ eqratio(X0,sK26,X1,X2,X3,sK26,X4,X5) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_149939,plain,
( eqratio(sK20,sK26,sK20,sK26,sK20,sK20,sK20,sK20)
| ~ eqratio(sK20,sK26,sK20,sK20,sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_149938]) ).
tcf(c_149940,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_149939,c_147441,c_101040,c_57753,c_57694,c_57168,c_37725,c_32366,c_21533,c_11265,c_10147,c_9386,c_7968,c_7805,c_7547,c_7546,c_7524,c_7219,c_6792,c_6531,c_6388,c_6337,c_6316,c_6167,c_6117,c_6035,c_6033,c_5776,c_231,c_182,c_177,c_173,c_164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO657+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.44 % Computer : n004.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Wed Sep 23 12:41:12 UTC 2026
% 0.16/5.45 % CPUTime :
% 0.16/5.45 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.21/5.50 Running first-order theorem proving
% 0.21/5.50 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/5.52
% 0.21/5.52 % ======== iProver multi-core TPTP/SMT =========
% 0.21/5.52
% 0.21/5.52 % Detected problem language: tptp
% 0.21/5.54 % Proving...
% 77.28/16.71 % SZS status Started for theBenchmark.p
% 77.28/16.71 % SZS status Theorem for theBenchmark.p
% 77.28/16.71
% 77.28/16.71 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 77.28/16.71
% 77.28/16.71 % ------ iProver source info
% 77.28/16.71
% 77.28/16.71 % git: date: 2026-07-19 20:42:38 +0200
% 77.28/16.71 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 77.28/16.71 % git: non_committed_changes: false
% 77.28/16.71
% 77.28/16.71 % ------ Parsing...
% 77.28/16.71 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 77.28/16.71
% 77.28/16.71 % ------ 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 %
% 77.28/16.71
% 77.28/16.71 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 77.28/16.71
% 77.28/16.71 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 77.28/16.71 % ------ Proving...
% 77.28/16.71 % ------ Problem Properties
% 77.28/16.71
% 77.28/16.71 %
% 77.28/16.71 % clauses 118
% 77.28/16.71 % conjectures 6
% 77.28/16.71 % EPR 81
% 77.28/16.71 % Horn 108
% 77.28/16.71 % unary 6
% 77.28/16.71 % binary 37
% 77.28/16.71 % lits 334
% 77.28/16.71 % lits eq 4
% 77.28/16.71 % fd_pure 0
% 77.28/16.71 % fd_pseudo 0
% 77.28/16.71 % fd_cond 0
% 77.28/16.71 % fd_pseudo_cond 4
% 77.28/16.71 % AC symbols 0
% 77.28/16.71
% 77.28/16.71 % ------ Schedule dynamic 5 is on
% 77.28/16.71
% 77.28/16.71 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 77.28/16.71
% 77.28/16.71
% 77.28/16.71 % ------
% 77.28/16.71 % Current options:
% 77.28/16.71 % ------
% 77.28/16.71
% 77.28/16.71
% 77.28/16.71 %
% 77.28/16.71
% 77.28/16.71 % ------ Proving...
% 77.28/16.71 %
% 77.28/16.71
% 77.28/16.71 % SZS status Theorem for theBenchmark.p
% 77.28/16.71
% 77.28/16.71 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 77.28/16.72
% 77.28/16.72
%------------------------------------------------------------------------------