%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO623+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 : n011.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 01:21:40 PM UTC 2026
% Result : Theorem 34.42s 7.84s
% Output : CNFRefutation 34.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 33
% Syntax : Number of formulae : 407 ( 72 unt; 0 def)
% Number of atoms : 1013 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 1129 ( 523 ~; 516 |; 56 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-7 aty)
% Number of variables : 986 ( 0 sgn 967 !; 19 ?; 383 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
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(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(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(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(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(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(f83,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ( coll(X3,X0,X1)
& coll(X2,X0,X1)
& midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> midp(X7,X0,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX7) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X3,X4)
& coll(X7,X1,X6)
& coll(X6,X3,X5)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& midp(X5,X0,X1)
& midp(X4,X1,X2)
& midp(X3,X2,X0) )
=> cong(X3,X6,X3,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110986) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X3,X4)
& coll(X7,X1,X6)
& coll(X6,X3,X5)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& midp(X5,X0,X1)
& midp(X4,X1,X2)
& midp(X3,X2,X0) )
=> cong(X3,X6,X3,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f115]) ).
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(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(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(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(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(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(f226,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(ennf_transformation,[],[f83]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(flattening,[],[f226]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X7,X3,X4)
& coll(X7,X1,X6)
& coll(X6,X3,X5)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& midp(X5,X0,X1)
& midp(X4,X1,X2)
& midp(X3,X2,X0)
& ~ cong(X3,X6,X3,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X7,X3,X4)
& coll(X7,X1,X6)
& coll(X6,X3,X5)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& midp(X5,X0,X1)
& midp(X4,X1,X2)
& midp(X3,X2,X0)
& ~ cong(X3,X6,X3,X7) ),
inference(flattening,[],[f249]) ).
fof(f257,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK6(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X7,sK6(X0,X1,X2,X3,X4,X5,X6))],[f227]) ).
fof(f270,plain,
( coll(sK27,sK23,sK24)
& coll(sK27,sK21,sK26)
& coll(sK26,sK23,sK25)
& eqangle(sK26,sK21,sK21,sK22,sK26,sK21,sK21,sK20)
& midp(sK25,sK20,sK21)
& midp(sK24,sK21,sK22)
& midp(sK23,sK22,sK20)
& ~ cong(sK23,sK26,sK23,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f116]) ).
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(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(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(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(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(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(f360,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK6(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(cnf_transformation,[],[f257]) ).
fof(f384,plain,
coll(sK27,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
coll(sK27,sK21,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK23,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
eqangle(sK26,sK21,sK21,sK22,sK26,sK21,sK21,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
midp(sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
midp(sK24,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
midp(sK23,sK22,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ cong(sK23,sK26,sK23,sK27),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X2,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f283]) ).
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_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_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_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_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_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_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( midp(sK6(X1,X2,X0,X3,X4,X5,X6),X1,X6)
| ~ midp(X5,X0,X3)
| ~ midp(X4,X1,X2)
| ~ coll(X3,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_162,negated_conjecture,
~ cong(sK23,sK26,sK23,sK27),
inference(cnf_transformation,[],[f391]) ).
tcf(c_163,negated_conjecture,
midp(sK23,sK22,sK20),
inference(cnf_transformation,[],[f390]) ).
tcf(c_164,negated_conjecture,
midp(sK24,sK21,sK22),
inference(cnf_transformation,[],[f389]) ).
tcf(c_165,negated_conjecture,
midp(sK25,sK20,sK21),
inference(cnf_transformation,[],[f388]) ).
tcf(c_166,negated_conjecture,
eqangle(sK26,sK21,sK21,sK22,sK26,sK21,sK21,sK20),
inference(cnf_transformation,[],[f387]) ).
tcf(c_167,negated_conjecture,
coll(sK26,sK23,sK25),
inference(cnf_transformation,[],[f386]) ).
tcf(c_168,negated_conjecture,
coll(sK27,sK21,sK26),
inference(cnf_transformation,[],[f385]) ).
tcf(c_169,negated_conjecture,
coll(sK27,sK23,sK24),
inference(cnf_transformation,[],[f384]) ).
tcf(c_175,plain,
( midp(sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| ~ cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_179,plain,
( eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_184,plain,
( perp(sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_200,plain,
( cyclic(sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_233,plain,
( cong(sK21,sK21,sK21,sK21)
| ~ cyclic(sK21,sK21,sK21,sK21)
| ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_4283,negated_conjecture,
coll(sK27,sK23,sK24),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_4284,negated_conjecture,
coll(sK27,sK21,sK26),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_4285,negated_conjecture,
coll(sK26,sK23,sK25),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4286,negated_conjecture,
eqangle(sK26,sK21,sK21,sK22,sK26,sK21,sK21,sK20),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4287,negated_conjecture,
midp(sK25,sK20,sK21),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4288,negated_conjecture,
midp(sK24,sK21,sK22),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4289,negated_conjecture,
midp(sK23,sK22,sK20),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_5825,plain,
coll(sK27,sK26,sK21),
inference(superposition,[status(thm)],[c_4284,c_49]) ).
tcf(c_5826,plain,
coll(sK27,sK24,sK23),
inference(superposition,[status(thm)],[c_4283,c_49]) ).
tcf(c_5831,plain,
coll(sK23,sK26,sK25),
inference(superposition,[status(thm)],[c_4285,c_50]) ).
tcf(c_5832,plain,
coll(sK21,sK27,sK26),
inference(superposition,[status(thm)],[c_4284,c_50]) ).
tcf(c_5833,plain,
coll(sK23,sK27,sK24),
inference(superposition,[status(thm)],[c_4283,c_50]) ).
tcf(c_5840,plain,
midp(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_4287,c_59]) ).
tcf(c_5854,plain,
coll(sK26,sK27,sK21),
inference(superposition,[status(thm)],[c_5825,c_50]) ).
tcf(c_5859,plain,
coll(sK23,sK25,sK26),
inference(superposition,[status(thm)],[c_5831,c_49]) ).
tcf(c_5861,plain,
coll(sK21,sK26,sK27),
inference(superposition,[status(thm)],[c_5832,c_49]) ).
tcf(c_5863,plain,
coll(sK23,sK24,sK27),
inference(superposition,[status(thm)],[c_5833,c_49]) ).
tcf(c_5990,plain,
! [X0: $i] :
( coll(sK26,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_4284,c_51]) ).
tcf(c_5991,plain,
! [X0: $i] :
( coll(sK24,X0,sK27)
| ~ coll(sK27,sK23,X0) ),
inference(superposition,[status(thm)],[c_4283,c_51]) ).
tcf(c_5993,plain,
! [X0: $i] :
( coll(sK21,X0,sK27)
| ~ coll(sK27,sK26,X0) ),
inference(superposition,[status(thm)],[c_5825,c_51]) ).
tcf(c_5994,plain,
! [X0: $i] :
( coll(sK23,X0,sK27)
| ~ coll(sK27,sK24,X0) ),
inference(superposition,[status(thm)],[c_5826,c_51]) ).
tcf(c_5996,plain,
! [X0: $i] :
( coll(sK26,X0,sK21)
| ~ coll(sK21,sK27,X0) ),
inference(superposition,[status(thm)],[c_5832,c_51]) ).
tcf(c_6002,plain,
! [X0: $i] :
( coll(sK21,X0,sK26)
| ~ coll(sK26,sK27,X0) ),
inference(superposition,[status(thm)],[c_5854,c_51]) ).
tcf(c_6004,plain,
! [X0: $i] :
( coll(sK26,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_5859,c_51]) ).
tcf(c_6005,plain,
! [X0: $i] :
( coll(sK27,X0,sK21)
| ~ coll(sK21,sK26,X0) ),
inference(superposition,[status(thm)],[c_5861,c_51]) ).
tcf(c_6006,plain,
! [X0: $i] :
( coll(sK27,X0,sK23)
| ~ coll(sK23,sK24,X0) ),
inference(superposition,[status(thm)],[c_5863,c_51]) ).
tcf(c_6115,plain,
( coll(sK21,sK21,sK26)
| ~ coll(sK26,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_6002]) ).
tcf(c_6123,plain,
( coll(sK21,sK21,sK27)
| ~ coll(sK27,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_5993]) ).
tcf(c_6158,plain,
coll(sK26,sK26,sK27),
inference(superposition,[status(thm)],[c_4284,c_5990]) ).
tcf(c_6159,plain,
! [X0: $i] :
( coll(sK27,X0,sK26)
| ~ coll(sK26,sK26,X0) ),
inference(superposition,[status(thm)],[c_6158,c_51]) ).
tcf(c_6168,plain,
coll(sK24,sK24,sK27),
inference(superposition,[status(thm)],[c_4283,c_5991]) ).
tcf(c_6169,plain,
! [X0: $i] :
( coll(sK27,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_6168,c_51]) ).
tcf(c_6203,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_5825,c_5993]) ).
tcf(c_6240,plain,
coll(sK21,sK27,sK21),
inference(superposition,[status(thm)],[c_6203,c_49]) ).
tcf(c_6248,plain,
coll(sK23,sK23,sK27),
inference(superposition,[status(thm)],[c_5826,c_5994]) ).
tcf(c_6332,plain,
! [X0: $i] :
( coll(sK21,X0,sK21)
| ~ coll(sK21,sK27,X0) ),
inference(superposition,[status(thm)],[c_6240,c_51]) ).
tcf(c_6333,plain,
coll(sK27,sK21,sK21),
inference(superposition,[status(thm)],[c_6240,c_50]) ).
tcf(c_6335,plain,
coll(sK26,sK21,sK21),
inference(superposition,[status(thm)],[c_6240,c_5996]) ).
tcf(c_6338,plain,
( coll(sK21,sK21,sK21)
| ~ coll(sK21,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_6332]) ).
tcf(c_6431,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK20,X1)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_4289,c_93]) ).
tcf(c_6478,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK20,X1)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4289,c_112]) ).
tcf(c_6479,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK22,X1)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4288,c_112]) ).
tcf(c_6480,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK21,X1)
| ~ midp(sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_4287,c_112]) ).
tcf(c_6635,plain,
! [X0: $i,X1: $i] :
( midp(sK23,X0,X1)
| ~ midp(sK23,sK22,sK20)
| ~ para(sK22,X1,sK20,X0)
| ~ para(sK22,X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_6645,plain,
coll(sK27,sK27,sK24),
inference(superposition,[status(thm)],[c_6168,c_6169]) ).
tcf(c_6699,plain,
coll(sK21,sK26,sK21),
inference(superposition,[status(thm)],[c_6335,c_50]) ).
tcf(c_6730,plain,
coll(sK27,sK24,sK27),
inference(superposition,[status(thm)],[c_6645,c_49]) ).
tcf(c_6846,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK23,X3,X1,X2)
| ~ midp(X3,sK22,X0)
| ~ para(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6431,c_54]) ).
tcf(c_6850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK21,X3,X1,X2)
| ~ midp(sK24,X3,X0)
| ~ para(sK22,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6479,c_54]) ).
tcf(c_6851,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,X3,X1,X2)
| ~ midp(sK25,X3,X0)
| ~ para(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6480,c_54]) ).
tcf(c_7292,plain,
coll(sK26,sK26,sK23),
inference(superposition,[status(thm)],[c_5859,c_6004]) ).
tcf(c_7450,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK23,X0,sK21,X2)
| ~ midp(sK25,X1,X2)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_6480,c_6846]) ).
tcf(c_7479,plain,
! [X0: $i] :
( para(sK23,sK23,sK21,X0)
| ~ midp(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_4289,c_7450]) ).
tcf(c_7486,plain,
( para(sK23,sK23,sK21,sK21)
| ~ midp(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7479]) ).
tcf(c_7493,plain,
! [X0: $i] :
( para(sK21,X0,sK23,sK23)
| ~ midp(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_7479,c_53]) ).
tcf(c_7533,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK21,X2,X0,X1)
| ~ midp(sK25,sK20,X2)
| ~ para(sK23,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_7493,c_54]) ).
tcf(c_7542,plain,
( para(sK21,sK21,sK21,sK21)
| ~ midp(sK25,sK20,sK21)
| ~ para(sK23,sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_7533]) ).
tcf(c_7548,plain,
coll(sK27,sK27,sK21),
inference(superposition,[status(thm)],[c_5861,c_6005]) ).
tcf(c_7566,plain,
eqangle(sK21,sK26,sK21,sK22,sK26,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_4286,c_66]) ).
tcf(c_7587,plain,
eqangle(sK21,sK22,sK26,sK21,sK21,sK20,sK26,sK21),
inference(superposition,[status(thm)],[c_4286,c_67]) ).
tcf(c_7617,plain,
! [X0: $i,X1: $i] :
( midp(sK23,X1,X0)
| ~ midp(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_7657,plain,
para(sK21,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_7587,c_87]) ).
tcf(c_7667,plain,
para(sK21,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_7657,c_53]) ).
tcf(c_7669,plain,
coll(sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_7657,c_115]) ).
tcf(c_7707,plain,
coll(sK27,sK27,sK23),
inference(superposition,[status(thm)],[c_5863,c_6006]) ).
tcf(c_7722,plain,
eqangle(sK21,sK26,sK26,sK21,sK21,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_7566,c_69]) ).
tcf(c_7790,plain,
coll(sK23,sK27,sK27),
inference(superposition,[status(thm)],[c_6730,c_5994]) ).
tcf(c_8523,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK22,X1,sK20)
| ~ midp(sK23,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6478,c_94]) ).
tcf(c_8525,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK20,X1,sK21)
| ~ midp(sK25,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6480,c_94]) ).
tcf(c_8548,plain,
! [X0: $i] :
( midp(sK22,X0,sK20)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_7657,c_94]) ).
tcf(c_8694,plain,
( midp(sK22,sK21,sK20)
| ~ midp(sK21,sK21,sK21)
| ~ coll(sK22,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_8548]) ).
tcf(c_8903,plain,
! [X0: $i,X1: $i] :
( para(X1,sK27,X0,sK21)
| ~ para(X0,sK21,X1,sK27) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_8904,plain,
( para(sK21,sK27,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_8903]) ).
tcf(c_8923,plain,
coll(sK27,sK23,sK26),
inference(superposition,[status(thm)],[c_7292,c_6159]) ).
tcf(c_8944,plain,
coll(sK27,sK21,sK27),
inference(superposition,[status(thm)],[c_7548,c_49]) ).
tcf(c_9360,plain,
( cong(sK23,sK26,sK23,sK27)
| ~ cong(sK23,sK27,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_9502,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK22,X0,sK20,X2)
| ~ midp(sK22,X1,sK20)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_9523,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK27,X2,sK21)
| ~ midp(sK27,X1,sK21)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_9524,plain,
( para(sK21,sK27,sK21,sK21)
| ~ midp(sK21,sK21,sK21)
| ~ midp(sK27,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_9523]) ).
tcf(c_9540,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_7669,c_50]) ).
tcf(c_9630,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK22,X1,sK20,X2)
| ~ midp(X0,sK22,sK20)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_9770,plain,
! [X0: $i,X1: $i] :
( midp(sK23,X0,X1)
| ~ coll(sK23,X0,X1)
| ~ cong(sK23,X0,sK23,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_10223,plain,
coll(sK27,sK26,sK23),
inference(superposition,[status(thm)],[c_8923,c_49]) ).
tcf(c_10305,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK26)
| ~ cong(X0,sK26,X1,sK26)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_10306,plain,
( perp(sK21,sK21,sK21,sK26)
| ~ cong(sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK26,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_10305]) ).
tcf(c_10307,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK27)
| ~ cong(X0,sK27,X1,sK27)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_10308,plain,
( perp(sK21,sK21,sK21,sK27)
| ~ cong(sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK27,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_10307]) ).
tcf(c_10345,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK20,X2,sK22,X1)
| ~ midp(sK25,X2,X0)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6479,c_6851]) ).
tcf(c_10414,plain,
! [X0: $i] :
( para(sK20,X0,sK22,sK22)
| ~ midp(sK25,X0,sK21) ),
inference(superposition,[status(thm)],[c_4288,c_10345]) ).
tcf(c_10432,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK22,sK22)
| ~ midp(sK25,X1,sK21)
| ~ midp(X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_10414,c_6846]) ).
tcf(c_10546,plain,
! [X0: $i] :
( midp(X0,sK22,sK20)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7657,c_113]) ).
tcf(c_10763,plain,
( midp(sK21,sK22,sK20)
| ~ midp(sK21,sK21,sK21)
| ~ para(sK21,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_10546]) ).
tcf(c_10803,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK21,sK26)
| ~ coll(X1,sK21,sK26)
| ~ midp(X0,sK21,X2)
| ~ para(X0,X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_10804,plain,
( midp(sK21,sK21,sK26)
| ~ midp(sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK26)
| ~ para(sK21,sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_10803]) ).
tcf(c_10934,plain,
( para(sK21,sK26,sK26,sK21)
| ~ para(sK21,sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7722,c_122]) ).
tcf(c_10939,plain,
para(sK21,sK26,sK26,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_10934,c_7657]) ).
tcf(c_11694,plain,
coll(sK21,sK23,sK27),
inference(superposition,[status(thm)],[c_10223,c_5993]) ).
tcf(c_12013,plain,
( para(sK23,sK23,sK22,sK22)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_4289,c_10432]) ).
tcf(c_12017,plain,
para(sK23,sK23,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_12013,c_4287]) ).
tcf(c_12026,plain,
! [X0: $i,X1: $i] :
( para(sK23,sK23,X0,X1)
| ~ para(sK22,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_12017,c_54]) ).
tcf(c_12027,plain,
para(sK22,sK22,sK23,sK23),
inference(superposition,[status(thm)],[c_12017,c_53]) ).
tcf(c_12143,plain,
para(sK23,sK23,sK23,sK23),
inference(superposition,[status(thm)],[c_12027,c_12026]) ).
tcf(c_12887,plain,
( midp(sK23,sK21,sK26)
| ~ midp(sK23,sK22,sK20)
| ~ para(sK22,sK21,sK20,sK26)
| ~ para(sK22,sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_6635]) ).
tcf(c_14629,plain,
coll(sK23,sK21,sK27),
inference(superposition,[status(thm)],[c_11694,c_50]) ).
tcf(c_17110,plain,
! [X0: $i,X1: $i] :
( cong(sK23,sK27,sK23,sK26)
| ~ cong(sK23,sK27,X0,X1)
| ~ cong(X0,X1,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_17139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(sK6(sK26,X3,X1,X2,X4,X0,sK27),sK26,sK27)
| ~ midp(X4,sK26,X3)
| ~ coll(X2,sK26,X3)
| ~ coll(X1,sK26,X3)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_17141,plain,
( midp(sK6(sK26,sK21,sK21,sK21,sK21,sK21,sK27),sK26,sK27)
| ~ midp(sK21,sK21,sK21)
| ~ midp(sK21,sK26,sK21)
| ~ coll(sK21,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_17139]) ).
tcf(c_17496,plain,
coll(sK23,sK27,sK21),
inference(superposition,[status(thm)],[c_14629,c_49]) ).
tcf(c_18678,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK26,sK26)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_18679,plain,
( midp(sK21,sK26,sK26)
| ~ midp(sK21,sK21,sK21)
| ~ para(sK21,sK26,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_18678]) ).
tcf(c_18721,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK27,sK27)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK27,X1,sK27) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_18722,plain,
( midp(sK21,sK27,sK27)
| ~ midp(sK21,sK21,sK21)
| ~ para(sK21,sK27,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_18721]) ).
tcf(c_19467,plain,
! [X0: $i,X1: $i] :
( midp(sK27,sK21,sK21)
| ~ coll(sK27,sK21,sK21)
| ~ midp(X0,sK21,X1)
| ~ para(X0,sK27,X1,sK21) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_19468,plain,
( midp(sK27,sK21,sK21)
| ~ midp(sK21,sK21,sK21)
| ~ coll(sK27,sK21,sK21)
| ~ para(sK21,sK27,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_19467]) ).
tcf(c_20645,plain,
( midp(sK23,sK27,sK21)
| ~ midp(sK23,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_7617]) ).
tcf(c_20914,plain,
! [X0: $i] :
( midp(X0,sK26,sK21)
| ~ midp(X0,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_20915,plain,
( midp(sK21,sK26,sK21)
| ~ midp(sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_20914]) ).
tcf(c_21007,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK23)
| ~ coll(X1,X3,sK23)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_21008,plain,
( midp(sK21,sK21,sK23)
| ~ midp(sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK23)
| ~ para(sK21,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_21007]) ).
tcf(c_21432,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK27,X0) ),
inference(superposition,[status(thm)],[c_17496,c_51]) ).
tcf(c_21447,plain,
( coll(sK21,sK21,sK23)
| ~ coll(sK23,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_21432]) ).
tcf(c_21918,plain,
( midp(sK27,sK21,sK27)
| ~ midp(sK22,sK21,sK20)
| ~ midp(sK23,sK27,sK27) ),
inference(superposition,[status(thm)],[c_8944,c_8523]) ).
tcf(c_25531,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK21,X3,X2,sK26)
| ~ perp(sK21,X3,X0,X1)
| ~ perp(X0,X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_25535,plain,
( para(sK21,sK21,sK21,sK26)
| ~ perp(sK21,sK21,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_25531]) ).
tcf(c_27193,plain,
( midp(sK21,sK22,sK20)
| ~ midp(sK25,sK21,sK20)
| ~ midp(sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7669,c_8525]) ).
tcf(c_27690,plain,
( midp(sK21,sK22,sK20)
| ~ midp(sK20,sK22,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_27193,c_5840]) ).
tcf(c_28248,plain,
! [X0: $i,X1: $i] :
( para(X1,sK21,X0,sK27)
| ~ para(X0,sK27,X1,sK21) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_28249,plain,
( para(sK21,sK21,sK21,sK27)
| ~ para(sK21,sK27,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_28248]) ).
tcf(c_28250,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK21,X3,sK27)
| ~ perp(X1,X2,X3,sK27)
| ~ perp(X0,sK21,X1,X2) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_28254,plain,
( para(sK21,sK21,sK21,sK27)
| ~ perp(sK21,sK21,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_28250]) ).
tcf(c_29327,plain,
midp(sK21,sK22,sK20),
inference(global_subsumption_just,[status(thm)],[c_27690,c_165,c_175,c_179,c_200,c_233,c_6240,c_6338,c_7486,c_7542,c_7667,c_10763]) ).
tcf(c_29333,plain,
( para(sK23,sK21,sK22,sK22)
| ~ midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_29327,c_10432]) ).
tcf(c_29337,plain,
para(sK23,sK21,sK22,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_29333,c_4287]) ).
tcf(c_29373,plain,
para(sK22,sK22,sK23,sK21),
inference(superposition,[status(thm)],[c_29337,c_53]) ).
tcf(c_29412,plain,
! [X0: $i] :
( midp(sK23,X0,sK27)
| ~ midp(sK23,sK22,sK20)
| ~ para(sK22,sK27,sK20,X0)
| ~ para(sK22,X0,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_6635]) ).
tcf(c_29413,plain,
( midp(sK23,sK21,sK27)
| ~ midp(sK23,sK22,sK20)
| ~ para(sK22,sK21,sK20,sK27)
| ~ para(sK22,sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_29412]) ).
tcf(c_29424,plain,
para(sK22,sK22,sK21,sK23),
inference(superposition,[status(thm)],[c_29373,c_52]) ).
tcf(c_29997,plain,
! [X0: $i,X1: $i] :
( midp(sK21,sK21,sK27)
| ~ coll(sK21,sK21,sK27)
| ~ midp(X0,sK21,X1)
| ~ para(X0,sK21,X1,sK27) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_29998,plain,
( midp(sK21,sK21,sK27)
| ~ midp(sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK27)
| ~ para(sK21,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_29997]) ).
tcf(c_32799,plain,
! [X0: $i] :
( cong(X0,sK21,X0,sK26)
| ~ midp(X0,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_32800,plain,
( cong(sK21,sK21,sK21,sK26)
| ~ midp(sK21,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_32799]) ).
tcf(c_35243,plain,
! [X0: $i] :
( cong(sK23,sK27,sK23,sK26)
| ~ cong(sK23,sK27,sK23,X0)
| ~ cong(sK23,X0,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_17110]) ).
tcf(c_35244,plain,
! [X0: $i] :
( cong(sK23,X0,sK23,sK26)
| ~ midp(sK23,X0,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_35245,plain,
( cong(sK23,sK27,sK23,sK26)
| ~ cong(sK23,sK21,sK23,sK26)
| ~ cong(sK23,sK27,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_35243]) ).
tcf(c_35246,plain,
( cong(sK23,sK21,sK23,sK26)
| ~ midp(sK23,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_35244]) ).
tcf(c_35504,plain,
! [X0: $i] :
( cong(sK23,sK27,sK23,X0)
| ~ midp(sK23,sK27,X0) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_35506,plain,
( cong(sK23,sK27,sK23,sK21)
| ~ midp(sK23,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_35504]) ).
tcf(c_35604,plain,
! [X0: $i] :
( cong(X0,sK26,X0,sK26)
| ~ midp(X0,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_35605,plain,
( cong(sK21,sK26,sK21,sK26)
| ~ midp(sK21,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_35604]) ).
tcf(c_35697,plain,
! [X0: $i] :
( cong(X0,sK27,X0,sK27)
| ~ midp(X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_35698,plain,
( cong(sK21,sK27,sK21,sK27)
| ~ midp(sK21,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_35697]) ).
tcf(c_37391,plain,
! [X0: $i] :
( para(sK22,sK27,sK20,sK21)
| ~ midp(sK22,X0,sK20)
| ~ midp(sK27,X0,sK21) ),
inference(instantiation,[status(thm)],[c_9502]) ).
tcf(c_37392,plain,
( para(sK22,sK27,sK20,sK21)
| ~ midp(sK22,sK21,sK20)
| ~ midp(sK27,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_37391]) ).
tcf(c_37402,plain,
! [X0: $i] :
( para(sK22,sK21,sK20,sK27)
| ~ midp(sK21,X0,sK27)
| ~ midp(sK22,X0,sK20) ),
inference(instantiation,[status(thm)],[c_9502]) ).
tcf(c_37403,plain,
( para(sK22,sK21,sK20,sK27)
| ~ midp(sK21,sK21,sK27)
| ~ midp(sK22,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_37402]) ).
tcf(c_37408,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK20,sK26)
| ~ midp(sK22,X1,sK20)
| ~ midp(X0,X1,sK26) ),
inference(instantiation,[status(thm)],[c_9502]) ).
tcf(c_37409,plain,
( para(sK22,sK21,sK20,sK26)
| ~ midp(sK21,sK21,sK26)
| ~ midp(sK22,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_37408]) ).
tcf(c_38139,plain,
! [X0: $i] :
( para(sK22,sK26,sK20,sK21)
| ~ midp(X0,sK22,sK20)
| ~ midp(X0,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_9630]) ).
tcf(c_38140,plain,
( para(sK22,sK26,sK20,sK21)
| ~ midp(sK21,sK22,sK20)
| ~ midp(sK21,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_38139]) ).
tcf(c_38997,plain,
( midp(sK23,sK27,sK27)
| ~ coll(sK23,sK27,sK27)
| ~ cong(sK23,sK27,sK23,sK27) ),
inference(instantiation,[status(thm)],[c_9770]) ).
tcf(c_41495,plain,
para(sK21,sK26,sK21,sK26),
inference(superposition,[status(thm)],[c_10939,c_52]) ).
tcf(c_42311,plain,
! [X0: $i] :
( para(sK21,X0,sK21,sK23)
| ~ midp(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_29424,c_6850]) ).
tcf(c_42337,plain,
( para(sK21,sK21,sK21,sK23)
| ~ midp(sK24,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_42311]) ).
tcf(c_49349,plain,
coll(sK27,sK26,sK21),
inference(superposition,[status(thm)],[c_4284,c_49]) ).
tcf(c_49695,plain,
! [X0: $i,X1: $i] :
( para(sK24,X0,sK22,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_4288,c_93]) ).
tcf(c_50946,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK24,X1,sK22)
| ~ midp(X0,sK21,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_49695,c_94]) ).
tcf(c_52387,plain,
( midp(sK27,sK26,sK21)
| ~ midp(sK24,sK26,sK22)
| ~ midp(sK27,sK21,sK21) ),
inference(superposition,[status(thm)],[c_49349,c_50946]) ).
tcf(c_54221,plain,
~ midp(sK27,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_52387,c_165,c_163,c_162,c_175,c_179,c_184,c_200,c_233,c_5825,c_5854,c_6115,c_6123,c_6240,c_6338,c_7486,c_7542,c_7667,c_8694,c_9360,c_9524,c_9540,c_10306,c_10763,c_10804,c_12887,c_18679,c_20645,c_20915,c_25535,c_28249,c_29413,c_29998,c_35245,c_35246,c_35506,c_35605,c_37392,c_37403,c_37409,c_38140,c_41495]) ).
tcf(c_61792,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK27,X2,sK27)
| ~ midp(sK27,X1,sK27)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_61793,plain,
( para(sK21,sK27,sK21,sK27)
| ~ midp(sK21,sK21,sK21)
| ~ midp(sK27,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_61792]) ).
tcf(c_73699,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,X0,sK23)
| ~ midp(X0,X1,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_73700,plain,
( cong(sK21,sK21,sK21,sK23)
| ~ midp(sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_73699]) ).
tcf(c_108479,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X1,sK27,X2,X3,X1,sK27)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_108480,plain,
( eqangle(sK21,sK21,sK21,sK27,sK21,sK21,sK21,sK27)
| ~ para(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_108479]) ).
tcf(c_126548,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X3,X2,sK23)
| ~ cong(X0,X1,X0,sK23)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_126549,plain,
( cyclic(sK21,sK21,sK21,sK23)
| ~ cong(sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_126548]) ).
tcf(c_129342,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK27)
| ~ cyclic(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_129343,plain,
( cyclic(sK21,sK21,sK21,sK27)
| ~ cyclic(sK21,sK21,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_129342]) ).
tcf(c_152829,plain,
( para(sK27,sK26,sK27,sK26)
| ~ para(sK27,sK26,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_157216,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X2,sK23,sK27)
| ~ cyclic(X1,X2,X0,sK27)
| ~ cyclic(X1,X2,X0,sK23)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,sK23,X3,sK27) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_157276,plain,
! [X0: $i] :
( midp(X0,sK27,sK26)
| ~ midp(X0,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_157346,plain,
! [X0: $i] :
( cyclic(sK23,sK26,sK27,X0)
| ~ cyclic(sK23,sK27,sK26,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_157347,plain,
( cyclic(sK23,sK26,sK27,sK21)
| ~ cyclic(sK23,sK27,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_157346]) ).
tcf(c_157369,plain,
! [X0: $i] :
( cyclic(sK26,sK23,X0,sK27)
| ~ coll(X0,sK27,sK23)
| ~ eqangle(X0,sK26,X0,sK23,sK27,sK26,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_157526,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,sK26,X2,sK27)
| ~ midp(X0,sK26,sK27)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_157608,plain,
! [X0: $i] :
( cyclic(sK23,sK27,X0,sK23)
| ~ coll(X0,sK23,sK27)
| ~ eqangle(X0,sK23,X0,sK27,sK23,sK23,sK23,sK27) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_157840,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X2,X1,sK27)
| ~ cyclic(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_157844,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X3,sK27)
| ~ cyclic(X0,X1,X2,sK27)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_157953,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(sK6(sK26,X0,X1,X2,X3,X4,sK27),sK27,sK26)
| ~ midp(sK6(sK26,X0,X1,X2,X3,X4,sK27),sK26,sK27) ),
inference(instantiation,[status(thm)],[c_157276]) ).
tcf(c_157954,plain,
( midp(sK6(sK26,sK21,sK21,sK21,sK21,sK21,sK27),sK27,sK26)
| ~ midp(sK6(sK26,sK21,sK21,sK21,sK21,sK21,sK27),sK26,sK27) ),
inference(instantiation,[status(thm)],[c_157953]) ).
tcf(c_157999,plain,
! [X0: $i,X1: $i] :
( cyclic(sK23,sK27,sK26,X1)
| ~ cyclic(X0,sK23,sK27,sK26)
| ~ cyclic(X0,sK23,sK27,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_158000,plain,
( cyclic(sK23,sK27,sK26,sK21)
| ~ cyclic(sK21,sK23,sK27,sK21)
| ~ cyclic(sK21,sK23,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_157999]) ).
tcf(c_158112,plain,
! [X0: $i] :
( cyclic(sK26,sK23,sK27,X0)
| ~ cyclic(sK23,sK26,sK27,X0) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_158113,plain,
( cyclic(sK26,sK23,sK27,sK21)
| ~ cyclic(sK23,sK26,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_158112]) ).
tcf(c_158351,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK23,sK27,sK26)
| ~ cyclic(X0,X1,sK23,sK27)
| ~ cyclic(X0,X1,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_158352,plain,
( cyclic(sK21,sK23,sK27,sK26)
| ~ cyclic(sK21,sK21,sK23,sK27)
| ~ cyclic(sK21,sK21,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_158351]) ).
tcf(c_158749,plain,
( cyclic(sK26,sK23,sK27,sK27)
| ~ coll(sK27,sK27,sK23)
| ~ eqangle(sK27,sK26,sK27,sK23,sK27,sK26,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_157369]) ).
tcf(c_158750,plain,
( eqangle(sK27,sK26,sK27,sK23,sK27,sK26,sK27,sK23)
| ~ para(sK27,sK26,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_159089,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK23,sK27,sK23)
| ~ cyclic(X0,X1,sK23,sK27)
| ~ cyclic(X0,X1,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_159090,plain,
( cyclic(sK21,sK23,sK27,sK23)
| ~ cyclic(sK21,sK21,sK23,sK27)
| ~ cyclic(sK21,sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_159089]) ).
tcf(c_159105,plain,
( cyclic(sK23,sK27,sK23,sK23)
| ~ coll(sK23,sK23,sK27)
| ~ eqangle(sK23,sK23,sK23,sK27,sK23,sK23,sK23,sK27) ),
inference(instantiation,[status(thm)],[c_157608]) ).
tcf(c_159106,plain,
( eqangle(sK23,sK23,sK23,sK27,sK23,sK23,sK23,sK27)
| ~ para(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_159181,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK23,X2,sK26)
| ~ cong(X0,X1,X0,sK26)
| ~ cong(X0,X1,X0,sK23)
| ~ cong(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_159182,plain,
( cyclic(sK21,sK23,sK21,sK26)
| ~ cong(sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK21,sK21,sK26)
| ~ cong(sK21,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_159181]) ).
tcf(c_159262,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK23,sK26)
| ~ cyclic(X0,sK23,X1,sK26) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_159263,plain,
( cyclic(sK21,sK21,sK23,sK26)
| ~ cyclic(sK21,sK23,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_159262]) ).
tcf(c_159487,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( para(X5,sK26,X6,sK27)
| ~ midp(sK6(sK26,X0,X1,X2,X3,X4,sK27),sK26,sK27)
| ~ midp(sK6(sK26,X0,X1,X2,X3,X4,sK27),X5,X6) ),
inference(instantiation,[status(thm)],[c_157526]) ).
tcf(c_159583,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK27,X2)
| ~ cyclic(X0,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_159584,plain,
( cyclic(sK21,sK21,sK27,sK21)
| ~ cyclic(sK21,sK27,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_159583]) ).
tcf(c_159586,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK27,X2)
| ~ cyclic(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_159588,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X0,sK27,X2)
| ~ cyclic(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_162248,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(sK27,sK26,sK26,sK27)
| ~ midp(sK6(sK26,X0,X1,X2,X3,X4,sK27),sK27,sK26)
| ~ midp(sK6(sK26,X0,X1,X2,X3,X4,sK27),sK26,sK27) ),
inference(instantiation,[status(thm)],[c_159487]) ).
tcf(c_162249,plain,
( para(sK27,sK26,sK26,sK27)
| ~ midp(sK6(sK26,sK21,sK21,sK21,sK21,sK21,sK27),sK27,sK26)
| ~ midp(sK6(sK26,sK21,sK21,sK21,sK21,sK21,sK27),sK26,sK27) ),
inference(instantiation,[status(thm)],[c_162248]) ).
tcf(c_162523,plain,
! [X0: $i] :
( cyclic(sK23,sK27,X0,sK27)
| ~ cyclic(sK26,sK23,sK27,sK27)
| ~ cyclic(sK26,sK23,sK27,X0) ),
inference(instantiation,[status(thm)],[c_157844]) ).
tcf(c_162526,plain,
( cyclic(sK23,sK27,sK21,sK27)
| ~ cyclic(sK26,sK23,sK27,sK21)
| ~ cyclic(sK26,sK23,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_162523]) ).
tcf(c_166194,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK23,X2,sK23)
| ~ cong(X0,X1,X0,sK23)
| ~ cong(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_166195,plain,
( cyclic(sK21,sK23,sK21,sK23)
| ~ cong(sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_166194]) ).
tcf(c_166290,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK27,X0,X2)
| ~ coll(X0,X2,sK27)
| ~ eqangle(X0,X1,X0,sK27,X2,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_166291,plain,
( cyclic(sK21,sK27,sK21,sK21)
| ~ coll(sK21,sK21,sK27)
| ~ eqangle(sK21,sK21,sK21,sK27,sK21,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_166290]) ).
tcf(c_166296,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK23,sK23)
| ~ cyclic(X0,sK23,X1,sK23) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_166297,plain,
( cyclic(sK21,sK21,sK23,sK23)
| ~ cyclic(sK21,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_166296]) ).
tcf(c_166659,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK23,sK27,X1)
| ~ cyclic(X0,sK23,X1,sK27) ),
inference(instantiation,[status(thm)],[c_159586]) ).
tcf(c_166660,plain,
( cyclic(sK21,sK23,sK27,sK21)
| ~ cyclic(sK21,sK23,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_166659]) ).
tcf(c_166681,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK23,sK27)
| ~ cyclic(X0,X1,X0,sK27)
| ~ cyclic(X0,X1,X0,sK23)
| ~ eqangle(X0,X0,X0,X1,sK23,sK23,sK23,sK27) ),
inference(instantiation,[status(thm)],[c_157216]) ).
tcf(c_166706,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK23,X1,sK27)
| ~ cyclic(X0,X1,sK23,sK27) ),
inference(instantiation,[status(thm)],[c_157840]) ).
tcf(c_166707,plain,
( cyclic(sK21,sK23,sK21,sK27)
| ~ cyclic(sK21,sK21,sK23,sK27) ),
inference(instantiation,[status(thm)],[c_166706]) ).
tcf(c_166717,plain,
! [X0: $i] :
( cyclic(sK23,X0,sK27,sK27)
| ~ cyclic(sK23,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_157840]) ).
tcf(c_166720,plain,
( cyclic(sK23,sK21,sK27,sK27)
| ~ cyclic(sK23,sK27,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_166717]) ).
tcf(c_166827,plain,
! [X0: $i] :
( cyclic(sK23,sK27,sK23,sK27)
| ~ cyclic(X0,sK23,sK27,sK27)
| ~ cyclic(X0,sK23,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_157844]) ).
tcf(c_166829,plain,
( cyclic(sK23,sK27,sK23,sK27)
| ~ cyclic(sK21,sK23,sK27,sK27)
| ~ cyclic(sK21,sK23,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_166827]) ).
tcf(c_166841,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK23,sK27)
| ~ cyclic(X0,X1,X2,sK27)
| ~ cyclic(X0,X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_157844]) ).
tcf(c_166842,plain,
( cyclic(sK21,sK21,sK23,sK27)
| ~ cyclic(sK21,sK21,sK21,sK27)
| ~ cyclic(sK21,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_166841]) ).
tcf(c_167247,plain,
! [X0: $i] :
( cyclic(X0,sK23,sK27,sK27)
| ~ cyclic(sK23,X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_159588]) ).
tcf(c_167249,plain,
( cyclic(sK21,sK23,sK27,sK27)
| ~ cyclic(sK23,sK21,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_167247]) ).
tcf(c_168798,plain,
( cong(sK23,sK27,sK23,sK27)
| ~ cyclic(sK23,sK27,sK23,sK27)
| ~ cyclic(sK23,sK27,sK23,sK23)
| ~ eqangle(sK23,sK23,sK23,sK27,sK23,sK23,sK23,sK27) ),
inference(instantiation,[status(thm)],[c_166681]) ).
tcf(c_168799,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_168798,c_167249,c_166842,c_166829,c_166720,c_166707,c_166660,c_166297,c_166291,c_166195,c_162526,c_162249,c_159584,c_159263,c_159182,c_159106,c_159105,c_159090,c_158750,c_158749,c_158352,c_158113,c_158000,c_157954,c_157347,c_152829,c_129343,c_126549,c_108480,c_73700,c_61793,c_54221,c_42337,c_41495,c_38997,c_35698,c_35605,c_32800,c_28254,c_25535,c_21918,c_21447,c_21008,c_20915,c_19468,c_18722,c_18679,c_17496,c_17141,c_12143,c_10804,c_10308,c_10306,c_9540,c_8904,c_8694,c_7790,c_7707,c_7542,c_7486,c_6699,c_6338,c_6333,c_6248,c_6240,c_6123,c_6115,c_5854,c_5825,c_233,c_200,c_184,c_179,c_175,c_164,c_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO623+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n011.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Wed Sep 23 12:35:13 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 34.42/7.84 % SZS status Started for theBenchmark.p
% 34.42/7.84 % SZS status Theorem for theBenchmark.p
% 34.42/7.84
% 34.42/7.84 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 34.42/7.84
% 34.42/7.84 % ------ iProver source info
% 34.42/7.84
% 34.42/7.84 % git: date: 2026-07-19 20:42:38 +0200
% 34.42/7.84 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 34.42/7.84 % git: non_committed_changes: false
% 34.42/7.84
% 34.42/7.84 % ------ Parsing...
% 34.42/7.84 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 34.42/7.84
% 34.42/7.84 % ------ 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 %
% 34.42/7.84
% 34.42/7.84 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 34.42/7.84
% 34.42/7.84 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 34.42/7.84 % ------ Proving...
% 34.42/7.84 % ------ Problem Properties
% 34.42/7.84
% 34.42/7.84 %
% 34.42/7.84 % clauses 120
% 34.42/7.84 % conjectures 8
% 34.42/7.84 % EPR 83
% 34.42/7.84 % Horn 110
% 34.42/7.84 % unary 8
% 34.42/7.84 % binary 37
% 34.42/7.84 % lits 336
% 34.42/7.84 % lits eq 4
% 34.42/7.84 % fd_pure 0
% 34.42/7.84 % fd_pseudo 0
% 34.42/7.84 % fd_cond 0
% 34.42/7.84 % fd_pseudo_cond 4
% 34.42/7.84 % AC symbols 0
% 34.42/7.84
% 34.42/7.84 % ------ Schedule dynamic 5 is on
% 34.42/7.84
% 34.42/7.84 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 34.42/7.84
% 34.42/7.84
% 34.42/7.84 % ------
% 34.42/7.84 % Current options:
% 34.42/7.84 % ------
% 34.42/7.84
% 34.42/7.84
% 34.42/7.84 %
% 34.42/7.84
% 34.42/7.84 % ------ Proving...
% 34.42/7.84 %
% 34.42/7.84
% 34.42/7.84 % SZS status Theorem for theBenchmark.p
% 34.42/7.84
% 34.42/7.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 34.42/7.85
% 34.42/7.85
%------------------------------------------------------------------------------