%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO605+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 01:21:37 PM UTC 2026
% Result : Theorem 25.94s 4.33s
% Output : CNFRefutation 25.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 28
% Syntax : Number of formulae : 293 ( 59 unt; 0 def)
% Number of atoms : 748 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 800 ( 345 ~; 339 |; 87 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 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 : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 720 ( 0 sgn 698 !; 22 ?; 233 :)
% 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(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/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(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> perp(X6,X1,X1,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618067) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
=> perp(X6,X1,X1,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(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(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(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(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(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(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ perp(X6,X1,X1,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( perp(X3,X2,X10,X7)
& midp(X10,X3,X2)
& perp(X1,X2,X9,X7)
& midp(X9,X1,X2)
& perp(X1,X3,X8,X7)
& midp(X8,X1,X3)
& midp(X6,X5,X4)
& coll(X5,X1,X3)
& coll(X4,X2,X3)
& perp(X2,X3,X2,X5)
& perp(X1,X3,X1,X4)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& ~ perp(X6,X1,X1,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( perp(sK23,sK22,sK30,sK27)
& midp(sK30,sK23,sK22)
& perp(sK21,sK22,sK29,sK27)
& midp(sK29,sK21,sK22)
& perp(sK21,sK23,sK28,sK27)
& midp(sK28,sK21,sK23)
& midp(sK26,sK25,sK24)
& coll(sK25,sK21,sK23)
& coll(sK24,sK22,sK23)
& perp(sK22,sK23,sK22,sK25)
& perp(sK21,sK23,sK21,sK24)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
& ~ perp(sK26,sK21,sK21,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(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(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(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(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(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f386,plain,
perp(sK21,sK22,sK29,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
midp(sK29,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
midp(sK28,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
midp(sK26,sK25,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
perp(sK22,sK23,sK22,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
perp(sK21,sK23,sK21,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f398,plain,
~ perp(sK26,sK21,sK21,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_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_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_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_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_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_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_162,negated_conjecture,
~ perp(sK26,sK21,sK21,sK27),
inference(cnf_transformation,[],[f398]) ).
tcf(c_166,negated_conjecture,
perp(sK21,sK23,sK21,sK24),
inference(cnf_transformation,[],[f394]) ).
tcf(c_167,negated_conjecture,
perp(sK22,sK23,sK22,sK25),
inference(cnf_transformation,[],[f393]) ).
tcf(c_169,negated_conjecture,
coll(sK25,sK21,sK23),
inference(cnf_transformation,[],[f391]) ).
tcf(c_170,negated_conjecture,
midp(sK26,sK25,sK24),
inference(cnf_transformation,[],[f390]) ).
tcf(c_171,negated_conjecture,
midp(sK28,sK21,sK23),
inference(cnf_transformation,[],[f389]) ).
tcf(c_173,negated_conjecture,
midp(sK29,sK21,sK22),
inference(cnf_transformation,[],[f387]) ).
tcf(c_174,negated_conjecture,
perp(sK21,sK22,sK29,sK27),
inference(cnf_transformation,[],[f386]) ).
tcf(c_182,plain,
( midp(sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| ~ cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_186,plain,
( eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_191,plain,
( perp(sK21,sK21,sK21,sK21)
| ~ cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_240,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_4320,negated_conjecture,
perp(sK21,sK22,sK29,sK27),
inference(demodulation,[status(thm)],[c_174]) ).
tcf(c_4321,negated_conjecture,
midp(sK29,sK21,sK22),
inference(demodulation,[status(thm)],[c_173]) ).
tcf(c_4323,negated_conjecture,
midp(sK28,sK21,sK23),
inference(demodulation,[status(thm)],[c_171]) ).
tcf(c_4324,negated_conjecture,
midp(sK26,sK25,sK24),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_4325,negated_conjecture,
coll(sK25,sK21,sK23),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_4327,negated_conjecture,
perp(sK22,sK23,sK22,sK25),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4328,negated_conjecture,
perp(sK21,sK23,sK21,sK24),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_5895,plain,
coll(sK25,sK23,sK21),
inference(superposition,[status(thm)],[c_4325,c_49]) ).
tcf(c_5903,plain,
coll(sK21,sK25,sK23),
inference(superposition,[status(thm)],[c_4325,c_50]) ).
tcf(c_5925,plain,
midp(sK28,sK23,sK21),
inference(superposition,[status(thm)],[c_4323,c_59]) ).
tcf(c_5926,plain,
midp(sK29,sK22,sK21),
inference(superposition,[status(thm)],[c_4321,c_59]) ).
tcf(c_5933,plain,
coll(sK28,sK21,sK23),
inference(superposition,[status(thm)],[c_4323,c_118]) ).
tcf(c_5934,plain,
coll(sK29,sK21,sK22),
inference(superposition,[status(thm)],[c_4321,c_118]) ).
tcf(c_5948,plain,
coll(sK28,sK23,sK21),
inference(superposition,[status(thm)],[c_5925,c_118]) ).
tcf(c_5950,plain,
coll(sK29,sK22,sK21),
inference(superposition,[status(thm)],[c_5926,c_118]) ).
tcf(c_5956,plain,
coll(sK21,sK28,sK23),
inference(superposition,[status(thm)],[c_5933,c_50]) ).
tcf(c_5958,plain,
coll(sK21,sK29,sK22),
inference(superposition,[status(thm)],[c_5934,c_50]) ).
tcf(c_5964,plain,
coll(sK23,sK28,sK21),
inference(superposition,[status(thm)],[c_5948,c_50]) ).
tcf(c_5966,plain,
coll(sK22,sK29,sK21),
inference(superposition,[status(thm)],[c_5950,c_50]) ).
tcf(c_5985,plain,
perp(sK21,sK22,sK27,sK29),
inference(superposition,[status(thm)],[c_4320,c_55]) ).
tcf(c_5991,plain,
perp(sK21,sK24,sK21,sK23),
inference(superposition,[status(thm)],[c_4328,c_56]) ).
tcf(c_5992,plain,
perp(sK22,sK25,sK22,sK23),
inference(superposition,[status(thm)],[c_4327,c_56]) ).
tcf(c_5994,plain,
perp(sK29,sK27,sK21,sK22),
inference(superposition,[status(thm)],[c_4320,c_56]) ).
tcf(c_5999,plain,
coll(sK21,sK23,sK28),
inference(superposition,[status(thm)],[c_5956,c_49]) ).
tcf(c_6010,plain,
perp(sK27,sK29,sK21,sK22),
inference(superposition,[status(thm)],[c_5985,c_56]) ).
tcf(c_6015,plain,
perp(sK21,sK24,sK23,sK21),
inference(superposition,[status(thm)],[c_5991,c_55]) ).
tcf(c_6017,plain,
perp(sK22,sK25,sK23,sK22),
inference(superposition,[status(thm)],[c_5992,c_55]) ).
tcf(c_6050,plain,
perp(sK29,sK27,sK22,sK21),
inference(superposition,[status(thm)],[c_5994,c_55]) ).
tcf(c_6087,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_5895,c_51]) ).
tcf(c_6089,plain,
! [X0: $i] :
( coll(sK23,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_5903,c_51]) ).
tcf(c_6102,plain,
! [X0: $i] :
( coll(sK21,X0,sK29)
| ~ coll(sK29,sK22,X0) ),
inference(superposition,[status(thm)],[c_5950,c_51]) ).
tcf(c_6106,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK29,X0) ),
inference(superposition,[status(thm)],[c_5958,c_51]) ).
tcf(c_6109,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK28,X0) ),
inference(superposition,[status(thm)],[c_5964,c_51]) ).
tcf(c_6110,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK29,X0) ),
inference(superposition,[status(thm)],[c_5966,c_51]) ).
tcf(c_6113,plain,
! [X0: $i] :
( coll(sK28,X0,sK21)
| ~ coll(sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_5999,c_51]) ).
tcf(c_6174,plain,
( coll(sK28,sK21,sK21)
| ~ coll(sK21,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_6113]) ).
tcf(c_6177,plain,
( coll(sK21,sK21,sK22)
| ~ coll(sK22,sK29,sK21) ),
inference(instantiation,[status(thm)],[c_6110]) ).
tcf(c_6178,plain,
( coll(sK21,sK21,sK23)
| ~ coll(sK23,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_6109]) ).
tcf(c_6181,plain,
( coll(sK22,sK21,sK21)
| ~ coll(sK21,sK29,sK21) ),
inference(instantiation,[status(thm)],[c_6106]) ).
tcf(c_6195,plain,
( coll(sK23,sK21,sK21)
| ~ coll(sK21,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_6089]) ).
tcf(c_6330,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_5895,c_6087]) ).
tcf(c_6334,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_6330,c_49]) ).
tcf(c_6365,plain,
( cong(sK28,sK21,sK28,sK23)
| ~ midp(sK28,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6366,plain,
( cong(sK29,sK21,sK29,sK22)
| ~ midp(sK29,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_6396,plain,
! [X0: $i] :
( coll(sK21,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_6334,c_51]) ).
tcf(c_6399,plain,
coll(sK23,sK21,sK21),
inference(superposition,[status(thm)],[c_6334,c_6089]) ).
tcf(c_6402,plain,
( coll(sK21,sK21,sK21)
| ~ coll(sK21,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_6396]) ).
tcf(c_6490,plain,
! [X0: $i,X1: $i] :
( para(sK28,X0,sK23,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_4323,c_93]) ).
tcf(c_6491,plain,
! [X0: $i,X1: $i] :
( para(sK29,X0,sK22,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_4321,c_93]) ).
tcf(c_6523,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK23,X1)
| ~ midp(sK28,sK21,sK23)
| ~ midp(sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_6543,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK24,X1)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_4324,c_112]) ).
tcf(c_6544,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK23,X1)
| ~ midp(sK28,X0,X1) ),
inference(superposition,[status(thm)],[c_4323,c_112]) ).
tcf(c_6548,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK21,X1)
| ~ midp(sK28,X0,X1) ),
inference(superposition,[status(thm)],[c_5925,c_112]) ).
tcf(c_6646,plain,
! [X0: $i,X1: $i] :
( para(sK28,X0,X1,sK23)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_6490,c_52]) ).
tcf(c_6658,plain,
! [X0: $i,X1: $i] :
( para(sK29,X0,X1,sK22)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_6491,c_52]) ).
tcf(c_6703,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,X1,sK23)
| ~ midp(sK28,X0,X1) ),
inference(superposition,[status(thm)],[c_6544,c_52]) ).
tcf(c_6708,plain,
( para(sK21,sK21,sK21,sK23)
| ~ midp(sK28,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_6703]) ).
tcf(c_6788,plain,
! [X0: $i,X1: $i] :
( midp(sK25,sK21,sK23)
| ~ coll(sK25,sK21,sK23)
| ~ midp(X0,sK21,X1)
| ~ para(X0,sK25,X1,sK23) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_6815,plain,
( cong(sK27,sK21,sK27,sK22)
| ~ midp(sK29,sK21,sK22) ),
inference(superposition,[status(thm)],[c_6010,c_104]) ).
tcf(c_6833,plain,
cong(sK27,sK21,sK27,sK22),
inference(forward_subsumption_resolution,[status(thm)],[c_6815,c_4321]) ).
tcf(c_6873,plain,
! [X0: $i,X1: $i] :
( midp(sK26,X0,X1)
| ~ midp(sK26,sK25,sK24)
| ~ para(sK25,X1,sK24,X0)
| ~ para(sK25,X0,sK24,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_6874,plain,
( midp(sK26,sK21,sK21)
| ~ midp(sK26,sK25,sK24)
| ~ para(sK25,sK21,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_6873]) ).
tcf(c_6906,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_6399,c_50]) ).
tcf(c_6935,plain,
cong(sK27,sK22,sK27,sK21),
inference(superposition,[status(thm)],[c_6833,c_72]) ).
tcf(c_7107,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK23,X0,X1)
| ~ perp(sK21,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4328,c_57]) ).
tcf(c_7108,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ perp(sK22,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_4327,c_57]) ).
tcf(c_7110,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ perp(sK29,sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_4320,c_57]) ).
tcf(c_7343,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(sK21,sK23,sK21,sK24)
| ~ eqangle(X0,X1,X2,X3,sK21,sK23,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_7375,plain,
para(sK21,sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_6015,c_7107]) ).
tcf(c_7381,plain,
para(sK22,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_6017,c_7108]) ).
tcf(c_7403,plain,
para(sK21,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_6050,c_7110]) ).
tcf(c_7429,plain,
cong(sK27,sK22,sK21,sK27),
inference(superposition,[status(thm)],[c_6935,c_71]) ).
tcf(c_7467,plain,
! [X0: $i,X1: $i] :
( cong(sK27,sK21,X0,X1)
| ~ cong(sK27,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6833,c_73]) ).
tcf(c_7614,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK23,X0,X1)
| ~ perp(sK23,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7375,c_58]) ).
tcf(c_7623,plain,
( perp(sK21,sK23,sK21,sK21)
| ~ perp(sK23,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_7614]) ).
tcf(c_7630,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ para(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7381,c_54]) ).
tcf(c_7637,plain,
( para(sK22,sK23,sK21,sK21)
| ~ para(sK23,sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_7630]) ).
tcf(c_7887,plain,
( cong(sK28,sK23,sK28,sK21)
| ~ midp(sK28,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_8041,plain,
( cong(sK29,sK22,sK29,sK21)
| ~ midp(sK29,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_8301,plain,
coll(sK21,sK21,sK29),
inference(superposition,[status(thm)],[c_5950,c_6102]) ).
tcf(c_8480,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_8493,plain,
( cyclic(sK21,sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21)
| ~ para(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_8480]) ).
tcf(c_8507,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK25,X1,sK24)
| ~ midp(sK26,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6543,c_94]) ).
tcf(c_8512,plain,
! [X0: $i] :
( midp(sK23,X0,sK21)
| ~ midp(sK21,X0,sK23)
| ~ coll(sK23,X0,sK21) ),
inference(superposition,[status(thm)],[c_7375,c_94]) ).
tcf(c_8516,plain,
! [X0: $i] :
( midp(sK22,X0,sK21)
| ~ midp(sK21,X0,sK22)
| ~ coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_7403,c_94]) ).
tcf(c_8592,plain,
( midp(sK22,sK21,sK21)
| ~ midp(sK21,sK21,sK22)
| ~ coll(sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_8516]) ).
tcf(c_8596,plain,
( midp(sK23,sK21,sK21)
| ~ midp(sK21,sK21,sK23)
| ~ coll(sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_8512]) ).
tcf(c_8610,plain,
! [X0: $i,X1: $i] :
( cong(sK28,sK21,X0,X1)
| ~ cong(sK28,sK21,sK28,sK23)
| ~ cong(sK28,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_8681,plain,
! [X0: $i,X1: $i] :
( cong(sK29,sK21,X0,X1)
| ~ cong(sK29,sK21,sK29,sK22)
| ~ cong(sK29,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_9676,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK25,X0,X1)
| ~ perp(sK22,sK25,sK22,sK23)
| ~ perp(sK22,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_10355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK23,X3,X1,X2)
| ~ midp(sK28,X3,X0)
| ~ perp(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6548,c_58]) ).
tcf(c_10380,plain,
( perp(sK23,sK21,sK21,sK21)
| ~ midp(sK28,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_10355]) ).
tcf(c_10842,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,sK23)
| ~ midp(sK28,X1,X2)
| ~ midp(X0,sK21,X2)
| ~ coll(X0,X1,sK23) ),
inference(superposition,[status(thm)],[c_6646,c_94]) ).
tcf(c_10869,plain,
( midp(sK21,sK21,sK23)
| ~ midp(sK28,sK21,sK21)
| ~ midp(sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_10842]) ).
tcf(c_10925,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,sK22)
| ~ midp(sK29,X1,X2)
| ~ midp(X0,sK21,X2)
| ~ coll(X0,X1,sK22) ),
inference(superposition,[status(thm)],[c_6658,c_94]) ).
tcf(c_10952,plain,
( midp(sK21,sK21,sK22)
| ~ midp(sK29,sK21,sK21)
| ~ midp(sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_10925]) ).
tcf(c_11139,plain,
! [X0: $i] :
( coll(sK29,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_8301,c_51]) ).
tcf(c_11141,plain,
coll(sK21,sK29,sK21),
inference(superposition,[status(thm)],[c_8301,c_49]) ).
tcf(c_11144,plain,
( coll(sK29,sK21,sK21)
| ~ coll(sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_11139]) ).
tcf(c_11581,plain,
( para(sK21,sK21,sK23,sK23)
| ~ midp(sK28,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_6523]) ).
tcf(c_15097,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK21,X0,X1)
| ~ para(sK21,sK21,sK23,sK23)
| ~ para(sK23,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_15102,plain,
( para(sK23,sK23,sK21,sK21)
| ~ para(sK21,sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_15111,plain,
( para(sK21,sK21,sK21,sK21)
| ~ para(sK23,sK23,sK21,sK21)
| ~ para(sK21,sK21,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_15097]) ).
tcf(c_17476,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK24,X1)
| ~ para(sK25,X0,X1,sK24) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_17477,plain,
( para(sK25,sK21,sK24,sK21)
| ~ para(sK25,sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_17476]) ).
tcf(c_18354,plain,
! [X0: $i] :
( perp(sK21,X0,X0,sK23)
| ~ perp(X0,sK23,sK21,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_18355,plain,
( perp(sK21,sK21,sK21,sK23)
| ~ perp(sK21,sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_18354]) ).
tcf(c_18880,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK21,sK24,sK21,sK23,sK21,sK24)
| ~ para(X0,X1,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_18881,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK21,sK24)
| ~ perp(sK21,sK23,sK21,sK24)
| ~ eqangle(X0,X1,sK21,sK24,sK21,sK23,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_7343]) ).
tcf(c_18882,plain,
( eqangle(sK21,sK21,sK21,sK24,sK21,sK23,sK21,sK24)
| ~ para(sK21,sK21,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_18880]) ).
tcf(c_18883,plain,
( perp(sK21,sK21,sK21,sK24)
| ~ perp(sK21,sK23,sK21,sK24)
| ~ eqangle(sK21,sK21,sK21,sK24,sK21,sK23,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_18881]) ).
tcf(c_19233,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK23,sK22,X1,X2)
| ~ midp(sK22,X0,X2)
| ~ midp(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_19234,plain,
( para(sK23,sK22,sK21,sK21)
| ~ midp(sK22,sK21,sK21)
| ~ midp(sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_19233]) ).
tcf(c_19757,plain,
! [X0: $i,X1: $i] :
( midp(sK28,X0,X1)
| ~ coll(sK28,X0,X1)
| ~ cong(sK28,X0,sK28,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_19758,plain,
( midp(sK28,sK21,sK21)
| ~ coll(sK28,sK21,sK21)
| ~ cong(sK28,sK21,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_19757]) ).
tcf(c_19759,plain,
! [X0: $i,X1: $i] :
( midp(sK29,X0,X1)
| ~ coll(sK29,X0,X1)
| ~ cong(sK29,X0,sK29,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_19760,plain,
( midp(sK29,sK21,sK21)
| ~ coll(sK29,sK21,sK21)
| ~ cong(sK29,sK21,sK29,sK21) ),
inference(instantiation,[status(thm)],[c_19759]) ).
tcf(c_20687,plain,
! [X0: $i,X1: $i] :
( perp(sK26,sK21,sK21,sK27)
| ~ perp(X0,X1,sK21,sK27)
| ~ para(sK26,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_20688,plain,
( perp(sK26,sK21,sK21,sK27)
| ~ perp(sK21,sK21,sK21,sK27)
| ~ para(sK26,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_20687]) ).
tcf(c_24913,plain,
! [X0: $i] :
( cong(sK28,sK21,sK28,X0)
| ~ cong(sK28,sK21,sK28,sK23)
| ~ cong(sK28,sK23,sK28,X0) ),
inference(instantiation,[status(thm)],[c_8610]) ).
tcf(c_24915,plain,
( cong(sK28,sK21,sK28,sK21)
| ~ cong(sK28,sK23,sK28,sK21)
| ~ cong(sK28,sK21,sK28,sK23) ),
inference(instantiation,[status(thm)],[c_24913]) ).
tcf(c_25035,plain,
! [X0: $i] :
( cong(sK29,sK21,sK29,X0)
| ~ cong(sK29,sK21,sK29,sK22)
| ~ cong(sK29,sK22,sK29,X0) ),
inference(instantiation,[status(thm)],[c_8681]) ).
tcf(c_25037,plain,
( cong(sK29,sK21,sK29,sK21)
| ~ cong(sK29,sK22,sK29,sK21)
| ~ cong(sK29,sK21,sK29,sK22) ),
inference(instantiation,[status(thm)],[c_25035]) ).
tcf(c_25947,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK26,sK21,X1,X2)
| ~ midp(sK21,X0,X2)
| ~ midp(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_25948,plain,
( para(sK26,sK21,sK21,sK21)
| ~ midp(sK21,sK21,sK21)
| ~ midp(sK26,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_25947]) ).
tcf(c_33236,plain,
( midp(sK25,sK21,sK23)
| ~ midp(sK22,sK21,sK21)
| ~ coll(sK25,sK21,sK23)
| ~ para(sK22,sK25,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_6788]) ).
tcf(c_33281,plain,
! [X0: $i] :
( para(sK22,sK25,X0,sK23)
| ~ perp(sK22,sK25,sK22,sK23)
| ~ perp(sK22,sK23,X0,sK23) ),
inference(instantiation,[status(thm)],[c_9676]) ).
tcf(c_33283,plain,
( para(sK22,sK25,sK21,sK23)
| ~ perp(sK22,sK25,sK22,sK23)
| ~ perp(sK22,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_33281]) ).
tcf(c_36783,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK25,X3,X2,sK24)
| ~ perp(sK25,X3,X0,X1)
| ~ perp(X0,X1,X2,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_36788,plain,
( para(sK25,sK21,sK21,sK24)
| ~ perp(sK25,sK21,sK21,sK21)
| ~ perp(sK21,sK21,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_36783]) ).
tcf(c_40684,plain,
( midp(sK25,sK21,sK23)
| ~ midp(sK25,sK21,sK24)
| ~ midp(sK26,sK25,sK23) ),
inference(superposition,[status(thm)],[c_4325,c_8507]) ).
tcf(c_42845,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK23,sK21,sK23)
| ~ perp(X0,X1,sK21,sK23)
| ~ para(sK22,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_42846,plain,
( perp(sK22,sK23,sK21,sK23)
| ~ perp(sK21,sK21,sK21,sK23)
| ~ para(sK22,sK23,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_42845]) ).
tcf(c_43353,plain,
midp(sK25,sK21,sK23),
inference(global_subsumption_just,[status(thm)],[c_40684,c_173,c_171,c_169,c_182,c_186,c_191,c_240,c_5926,c_5925,c_5964,c_5966,c_5992,c_6174,c_6177,c_6178,c_6181,c_6195,c_6334,c_6365,c_6366,c_6402,c_6906,c_7623,c_7637,c_7887,c_8041,c_8493,c_8592,c_8596,c_10380,c_10869,c_10952,c_11141,c_11144,c_11581,c_15102,c_15111,c_18355,c_19234,c_19758,c_19760,c_24915,c_25037,c_33236,c_33283,c_42846]) ).
tcf(c_43356,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK23,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_43353,c_93]) ).
tcf(c_44815,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK25,X3,X1,X2)
| ~ midp(X3,sK21,X0)
| ~ perp(sK23,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_43356,c_58]) ).
tcf(c_44840,plain,
( perp(sK25,sK21,sK21,sK21)
| ~ midp(sK21,sK21,sK21)
| ~ perp(sK23,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_44815]) ).
tcf(c_47472,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK21,sK27)
| ~ cong(X0,sK27,X1,sK27)
| ~ cong(X0,sK21,X1,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_47473,plain,
( perp(sK21,sK21,sK21,sK27)
| ~ cong(sK21,sK27,sK21,sK27)
| ~ cong(sK21,sK21,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_47472]) ).
tcf(c_57055,plain,
! [X0: $i] :
( cong(sK21,sK27,X0,sK27)
| ~ cong(sK21,sK27,sK27,X0) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_57056,plain,
( cong(sK21,sK27,sK21,sK27)
| ~ cong(sK21,sK27,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_57055]) ).
tcf(c_68013,plain,
! [X0: $i] :
( cong(sK21,sK27,sK27,X0)
| ~ cong(sK27,X0,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_68014,plain,
( cong(sK21,sK27,sK27,sK21)
| ~ cong(sK27,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_68013]) ).
tcf(c_87235,plain,
cong(sK27,sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_7429,c_7467]) ).
tcf(c_87238,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_87235,c_68014,c_57056,c_47473,c_44840,c_36788,c_25948,c_24915,c_20688,c_19758,c_18883,c_18882,c_17477,c_15111,c_15102,c_11581,c_10380,c_8493,c_7887,c_6906,c_6874,c_6708,c_6402,c_6365,c_6334,c_6174,c_5925,c_240,c_191,c_186,c_182,c_162,c_166,c_170,c_171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO605+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n004.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 12:31:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 25.94/4.33 % SZS status Started for theBenchmark.p
% 25.94/4.33 % SZS status Theorem for theBenchmark.p
% 25.94/4.33
% 25.94/4.33 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.94/4.33
% 25.94/4.33 % ------ iProver source info
% 25.94/4.33
% 25.94/4.33 % git: date: 2026-07-19 20:42:38 +0200
% 25.94/4.33 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.94/4.33 % git: non_committed_changes: false
% 25.94/4.33
% 25.94/4.33 % ------ Parsing...
% 25.94/4.33 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.94/4.33
% 25.94/4.33 % ------ 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 %
% 25.94/4.33
% 25.94/4.33 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 25.94/4.33
% 25.94/4.33 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 25.94/4.33 % ------ Proving...
% 25.94/4.33 % ------ Problem Properties
% 25.94/4.33
% 25.94/4.33 %
% 25.94/4.33 % clauses 127
% 25.94/4.33 % conjectures 15
% 25.94/4.33 % EPR 90
% 25.94/4.33 % Horn 117
% 25.94/4.33 % unary 15
% 25.94/4.33 % binary 37
% 25.94/4.33 % lits 343
% 25.94/4.33 % lits eq 4
% 25.94/4.33 % fd_pure 0
% 25.94/4.33 % fd_pseudo 0
% 25.94/4.33 % fd_cond 0
% 25.94/4.33 % fd_pseudo_cond 4
% 25.94/4.33 % AC symbols 0
% 25.94/4.33
% 25.94/4.33 % ------ Schedule dynamic 5 is on
% 25.94/4.33
% 25.94/4.33 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 25.94/4.33
% 25.94/4.33
% 25.94/4.33 % ------
% 25.94/4.33 % Current options:
% 25.94/4.33 % ------
% 25.94/4.33
% 25.94/4.33
% 25.94/4.33 %
% 25.94/4.33
% 25.94/4.33 % ------ Proving...
% 25.94/4.33 %
% 25.94/4.33
% 25.94/4.33 % SZS status Theorem for theBenchmark.p
% 25.94/4.33
% 25.94/4.33 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.94/4.33
% 25.94/4.33
%------------------------------------------------------------------------------