%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO638+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 : n016.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 01:21:43 PM UTC 2026
% Result : Theorem 21.50s 5.25s
% Output : CNFRefutation 21.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 28
% Syntax : Number of formulae : 298 ( 54 unt; 0 def)
% Number of atoms : 751 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 808 ( 355 ~; 354 |; 70 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 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 : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-6 aty)
% Number of variables : 696 ( 0 sgn 671 !; 25 ?; 215 :)
% 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(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(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
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(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(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X7,X0,X1)
& perp(X7,X6,X0,X1)
& midp(X6,X5,X4)
& coll(X5,X3,X4)
& para(X0,X4,X5,X1)
& perp(X2,X3,X3,X4)
& circle(X2,X0,X3,X10)
& circle(X2,X0,X8,X9)
& midp(X2,X0,X1) )
=> perp(X5,X7,X4,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109104) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X7,X0,X1)
& perp(X7,X6,X0,X1)
& midp(X6,X5,X4)
& coll(X5,X3,X4)
& para(X0,X4,X5,X1)
& perp(X2,X3,X3,X4)
& circle(X2,X0,X3,X10)
& circle(X2,X0,X8,X9)
& midp(X2,X0,X1) )
=> perp(X5,X7,X4,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(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(f151,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f151]) ).
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(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f224,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(X6,X5,X0,X2)
& para(X6,X4,X1,X3)
& midp(X6,X0,X3) ) ),
inference(flattening,[],[f224]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( coll(X7,X0,X1)
& perp(X7,X6,X0,X1)
& midp(X6,X5,X4)
& coll(X5,X3,X4)
& para(X0,X4,X5,X1)
& perp(X2,X3,X3,X4)
& circle(X2,X0,X3,X10)
& circle(X2,X0,X8,X9)
& midp(X2,X0,X1)
& ~ perp(X5,X7,X4,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( coll(X7,X0,X1)
& perp(X7,X6,X0,X1)
& midp(X6,X5,X4)
& coll(X5,X3,X4)
& para(X0,X4,X5,X1)
& perp(X2,X3,X3,X4)
& circle(X2,X0,X3,X10)
& circle(X2,X0,X8,X9)
& midp(X2,X0,X1)
& ~ perp(X5,X7,X4,X7) ),
inference(flattening,[],[f249]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| ( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X6,sK5(X0,X1,X2,X3,X4,X5))],[f225]) ).
fof(f270,plain,
( coll(sK27,sK20,sK21)
& perp(sK27,sK26,sK20,sK21)
& midp(sK26,sK25,sK24)
& coll(sK25,sK23,sK24)
& para(sK20,sK24,sK25,sK21)
& perp(sK22,sK23,sK23,sK24)
& circle(sK22,sK20,sK23,sK30)
& circle(sK22,sK20,sK28,sK29)
& midp(sK22,sK20,sK21)
& ~ perp(sK25,sK27,sK24,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(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(f312,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f152]) ).
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(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2) ),
inference(cnf_transformation,[],[f256]) ).
fof(f384,plain,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK27,sK26,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
midp(sK26,sK25,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
para(sK20,sK24,sK25,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
midp(sK22,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ perp(sK25,sK27,sK24,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_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_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f312]) ).
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_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(sK5(X1,X2,X4,X5,X0,X3),X3,X1,X4)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f357]) ).
tcf(c_162,negated_conjecture,
~ perp(sK25,sK27,sK24,sK27),
inference(cnf_transformation,[],[f393]) ).
tcf(c_163,negated_conjecture,
midp(sK22,sK20,sK21),
inference(cnf_transformation,[],[f392]) ).
tcf(c_167,negated_conjecture,
para(sK20,sK24,sK25,sK21),
inference(cnf_transformation,[],[f388]) ).
tcf(c_168,negated_conjecture,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f387]) ).
tcf(c_169,negated_conjecture,
midp(sK26,sK25,sK24),
inference(cnf_transformation,[],[f386]) ).
tcf(c_170,negated_conjecture,
perp(sK27,sK26,sK20,sK21),
inference(cnf_transformation,[],[f385]) ).
tcf(c_171,negated_conjecture,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f384]) ).
tcf(c_177,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_181,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_186,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_202,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_235,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_363,plain,
( coll(sK20,sK27,sK21)
| ~ coll(sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_375,plain,
( perp(sK20,sK21,sK27,sK26)
| ~ perp(sK27,sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_406,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK21)
| ~ perp(sK27,sK26,sK20,sK21)
| ~ perp(X0,X1,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_437,plain,
coll(sK27,sK21,sK20),
inference(superposition,[status(thm)],[c_171,c_49]) ).
tcf(c_439,plain,
coll(sK20,sK27,sK21),
inference(superposition,[status(thm)],[c_171,c_50]) ).
tcf(c_458,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK5(X1,X2,sK20,sK21,X0,sK22),sK22,X1,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_137]) ).
tcf(c_463,plain,
coll(sK20,sK21,sK27),
inference(superposition,[status(thm)],[c_439,c_49]) ).
tcf(c_484,plain,
midp(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_163,c_59]) ).
tcf(c_485,plain,
midp(sK26,sK24,sK25),
inference(superposition,[status(thm)],[c_169,c_59]) ).
tcf(c_492,plain,
coll(sK26,sK25,sK24),
inference(superposition,[status(thm)],[c_169,c_118]) ).
tcf(c_493,plain,
coll(sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_484,c_118]) ).
tcf(c_505,plain,
coll(sK26,sK24,sK25),
inference(superposition,[status(thm)],[c_485,c_118]) ).
tcf(c_515,plain,
coll(sK25,sK26,sK24),
inference(superposition,[status(thm)],[c_492,c_50]) ).
tcf(c_521,plain,
coll(sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_493,c_50]) ).
tcf(c_533,plain,
coll(sK25,sK24,sK26),
inference(superposition,[status(thm)],[c_515,c_49]) ).
tcf(c_607,plain,
! [X0: $i] :
( coll(X0,sK21,sK20)
| ~ coll(sK20,sK27,sK21)
| ~ coll(sK20,sK27,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_608,plain,
( coll(sK20,sK21,sK20)
| ~ coll(sK20,sK27,sK21)
| ~ coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_607]) ).
tcf(c_677,plain,
! [X0: $i] :
( coll(sK24,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_168,c_51]) ).
tcf(c_680,plain,
! [X0: $i] :
( coll(sK20,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_437,c_51]) ).
tcf(c_682,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK27,X0) ),
inference(superposition,[status(thm)],[c_439,c_51]) ).
tcf(c_685,plain,
! [X0: $i] :
( coll(sK27,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_463,c_51]) ).
tcf(c_692,plain,
! [X0: $i] :
( coll(sK25,X0,sK26)
| ~ coll(sK26,sK24,X0) ),
inference(superposition,[status(thm)],[c_505,c_51]) ).
tcf(c_695,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK22,X0) ),
inference(superposition,[status(thm)],[c_521,c_51]) ).
tcf(c_698,plain,
! [X0: $i] :
( coll(sK26,X0,sK25)
| ~ coll(sK25,sK24,X0) ),
inference(superposition,[status(thm)],[c_533,c_51]) ).
tcf(c_702,plain,
( coll(sK26,sK20,sK25)
| ~ coll(sK25,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_705,plain,
( coll(sK20,sK20,sK21)
| ~ coll(sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_695]) ).
tcf(c_714,plain,
( coll(sK27,sK20,sK20)
| ~ coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_685]) ).
tcf(c_716,plain,
( coll(sK21,sK20,sK20)
| ~ coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_682]) ).
tcf(c_802,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_168,c_677]) ).
tcf(c_803,plain,
! [X0: $i] :
( coll(sK25,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_802,c_51]) ).
tcf(c_806,plain,
( coll(sK25,sK20,sK24)
| ~ coll(sK24,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_803]) ).
tcf(c_862,plain,
coll(sK20,sK20,sK27),
inference(superposition,[status(thm)],[c_437,c_680]) ).
tcf(c_865,plain,
coll(sK20,sK27,sK20),
inference(superposition,[status(thm)],[c_862,c_49]) ).
tcf(c_905,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK27,X0) ),
inference(superposition,[status(thm)],[c_865,c_51]) ).
tcf(c_908,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_905]) ).
tcf(c_1030,plain,
midp(sK26,sK24,sK25),
inference(superposition,[status(thm)],[c_169,c_59]) ).
tcf(c_1043,plain,
coll(sK26,sK24,sK25),
inference(superposition,[status(thm)],[c_1030,c_118]) ).
tcf(c_1057,plain,
para(sK20,sK24,sK21,sK25),
inference(superposition,[status(thm)],[c_167,c_52]) ).
tcf(c_1062,plain,
para(sK25,sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_167,c_53]) ).
tcf(c_1078,plain,
para(sK21,sK25,sK20,sK24),
inference(superposition,[status(thm)],[c_1057,c_53]) ).
tcf(c_1103,plain,
para(sK21,sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_1078,c_52]) ).
tcf(c_1153,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK27,sK26)
| ~ perp(sK20,sK21,sK27,sK26)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_1154,plain,
( para(sK20,sK20,sK27,sK26)
| ~ perp(sK20,sK21,sK27,sK26)
| ~ perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_1153]) ).
tcf(c_1184,plain,
coll(sK25,sK25,sK26),
inference(superposition,[status(thm)],[c_1043,c_692]) ).
tcf(c_1220,plain,
( para(sK20,sK21,sK20,sK21)
| ~ perp(sK20,sK21,sK27,sK26)
| ~ perp(sK27,sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_406]) ).
tcf(c_1379,plain,
( para(sK5(sK20,sK21,sK20,sK21,sK22,sK22),sK22,sK20,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_458]) ).
tcf(c_1380,plain,
( para(sK5(sK25,sK24,sK20,sK21,sK26,sK22),sK22,sK25,sK20)
| ~ midp(sK26,sK25,sK24)
| ~ midp(sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_458]) ).
tcf(c_1511,plain,
( cong(sK27,sK20,sK27,sK21)
| ~ midp(sK26,sK20,sK21) ),
inference(superposition,[status(thm)],[c_170,c_104]) ).
tcf(c_1657,plain,
( cong(sK27,sK21,sK27,sK20)
| ~ midp(sK26,sK20,sK21) ),
inference(superposition,[status(thm)],[c_1511,c_72]) ).
tcf(c_1722,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK24,X0,X1)
| ~ para(sK25,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_54]) ).
tcf(c_1724,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK21,X0,X1)
| ~ para(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_1062,c_54]) ).
tcf(c_1806,plain,
para(sK20,sK24,sK21,sK25),
inference(resolution,[status(thm)],[c_52,c_167]) ).
tcf(c_2243,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_1062,c_1722]) ).
tcf(c_2294,plain,
coll(sK20,sK24,sK24),
inference(superposition,[status(thm)],[c_2243,c_115]) ).
tcf(c_2309,plain,
! [X0: $i,X1: $i] :
( cong(sK27,sK20,X0,X1)
| ~ midp(sK26,sK20,sK21)
| ~ cong(sK27,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_1511,c_73]) ).
tcf(c_2328,plain,
( para(sK20,sK20,sK5(sK20,sK21,sK20,sK21,sK22,sK22),sK22)
| ~ para(sK5(sK20,sK21,sK20,sK21,sK22,sK22),sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_2336,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK20)
| ~ para(sK5(sK20,sK21,sK20,sK21,sK22,sK22),sK22,sK20,sK20)
| ~ para(X0,X1,sK5(sK20,sK21,sK20,sK21,sK22,sK22),sK22) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_2337,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK5(sK20,sK21,sK20,sK21,sK22,sK22),sK22)
| ~ para(sK5(sK20,sK21,sK20,sK21,sK22,sK22),sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2336]) ).
tcf(c_2365,plain,
( para(sK25,sK20,sK5(sK25,sK24,sK20,sK21,sK26,sK22),sK22)
| ~ para(sK5(sK25,sK24,sK20,sK21,sK26,sK22),sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_2373,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK20)
| ~ para(sK5(sK25,sK24,sK20,sK21,sK26,sK22),sK22,sK25,sK20)
| ~ para(X0,X1,sK5(sK25,sK24,sK20,sK21,sK26,sK22),sK22) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_2663,plain,
para(sK25,sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_167,c_53]) ).
tcf(c_3174,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK24,X0,X1)
| ~ para(sK25,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_167,c_54]) ).
tcf(c_3297,plain,
para(sK20,sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_2663,c_3174]) ).
tcf(c_3579,plain,
! [X0: $i,X1: $i] :
( para(X0,sK26,X1,sK24)
| ~ midp(X0,sK25,X1) ),
inference(resolution,[status(thm)],[c_93,c_169]) ).
tcf(c_3777,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK20,sK25)
| ~ coll(sK25,X0,sK20)
| ~ coll(sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_3778,plain,
( coll(sK20,sK20,sK25)
| ~ coll(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3777]) ).
tcf(c_4230,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_4231,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_4230]) ).
tcf(c_4250,plain,
! [X0: $i] :
( midp(sK25,X0,sK20)
| ~ midp(sK21,X0,sK24)
| ~ coll(sK25,X0,sK20) ),
inference(superposition,[status(thm)],[c_1103,c_94]) ).
tcf(c_4303,plain,
( midp(sK25,sK20,sK20)
| ~ midp(sK21,sK20,sK24)
| ~ coll(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4250]) ).
tcf(c_4522,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK21)
| ~ para(X0,X1,sK20,sK24) ),
inference(resolution,[status(thm)],[c_54,c_167]) ).
tcf(c_4524,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK25)
| ~ para(X0,X1,sK20,sK24) ),
inference(resolution,[status(thm)],[c_54,c_1806]) ).
tcf(c_4941,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ para(X0,X1,sK27,sK26) ),
inference(resolution,[status(thm)],[c_58,c_170]) ).
tcf(c_5102,plain,
! [X0: $i] :
( coll(sK25,sK24,X0)
| ~ coll(sK25,X0,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_5103,plain,
( coll(sK25,sK24,sK20)
| ~ coll(sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_5102]) ).
tcf(c_5175,plain,
! [X0: $i] :
( para(X0,sK26,sK25,sK21)
| ~ midp(X0,sK25,sK20) ),
inference(resolution,[status(thm)],[c_4522,c_3579]) ).
tcf(c_5192,plain,
! [X0: $i] :
( coll(sK26,sK25,X0)
| ~ coll(sK26,X0,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_5193,plain,
( coll(sK26,sK25,sK20)
| ~ coll(sK26,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_5192]) ).
tcf(c_5295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK20,sK21)
| ~ para(X2,X3,sK27,sK26)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[c_4941,c_57]) ).
tcf(c_5297,plain,
( para(sK20,sK20,sK20,sK21)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_5295]) ).
tcf(c_5456,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK24,sK20,sK24) ),
inference(superposition,[status(thm)],[c_3297,c_113]) ).
tcf(c_5481,plain,
( midp(sK20,sK24,sK24)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_5456]) ).
tcf(c_5900,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK24,X0,X1)
| ~ perp(X0,X1,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_5901,plain,
( perp(sK20,sK24,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_5900]) ).
tcf(c_5913,plain,
! [X0: $i] :
( perp(sK21,X0,X0,sK20)
| ~ perp(X0,sK20,sK21,X0) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_5914,plain,
( perp(sK21,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_5913]) ).
tcf(c_6227,plain,
coll(sK24,sK20,sK24),
inference(superposition,[status(thm)],[c_2294,c_50]) ).
tcf(c_6231,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6227,c_49]) ).
tcf(c_7312,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK25,X1)
| ~ midp(X0,X1,sK25) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_7313,plain,
( midp(sK20,sK25,sK20)
| ~ midp(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_7312]) ).
tcf(c_7886,plain,
! [X0: $i] :
( midp(sK21,sK20,X0)
| ~ coll(sK21,sK20,X0)
| ~ cong(sK21,sK20,sK21,X0) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_7887,plain,
( midp(sK21,sK20,sK20)
| ~ coll(sK21,sK20,sK20)
| ~ cong(sK21,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_7886]) ).
tcf(c_8806,plain,
( cong(sK27,sK20,sK27,sK20)
| ~ midp(sK26,sK20,sK21) ),
inference(superposition,[status(thm)],[c_1657,c_2309]) ).
tcf(c_9149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK20,sK24)
| ~ perp(X2,X3,sK20,sK24)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_9150,plain,
( para(sK20,sK20,sK20,sK24)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_9149]) ).
tcf(c_9304,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,X2,sK25)
| ~ midp(X0,X2,sK21)
| ~ coll(X1,X2,sK25)
| ~ para(X0,X1,sK20,sK24) ),
inference(resolution,[status(thm)],[c_94,c_4524]) ).
tcf(c_9305,plain,
( midp(sK20,sK20,sK25)
| ~ midp(sK20,sK20,sK21)
| ~ coll(sK20,sK20,sK25)
| ~ para(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_9304]) ).
tcf(c_9605,plain,
! [X0: $i,X1: $i] :
( perp(sK25,sK27,sK24,sK27)
| ~ perp(X0,X1,sK24,sK27)
| ~ para(sK25,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_9606,plain,
( perp(sK25,sK27,sK24,sK27)
| ~ perp(sK20,sK20,sK24,sK27)
| ~ para(sK25,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9605]) ).
tcf(c_9809,plain,
( midp(sK27,sK20,sK20)
| ~ midp(sK26,sK20,sK21)
| ~ coll(sK27,sK20,sK20) ),
inference(superposition,[status(thm)],[c_8806,c_116]) ).
tcf(c_9974,plain,
( para(sK25,sK20,sK25,sK20)
| ~ para(sK25,sK20,sK5(sK25,sK24,sK20,sK21,sK26,sK22),sK22)
| ~ para(sK5(sK25,sK24,sK20,sK21,sK26,sK22),sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_2373]) ).
tcf(c_10301,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK21)
| ~ cong(sK20,sK21,X0,sK21)
| ~ cong(sK20,X0,X0,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_10302,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10301]) ).
tcf(c_10372,plain,
! [X0: $i] :
( perp(sK20,X0,X0,sK24)
| ~ cong(sK20,sK24,X0,sK24)
| ~ cong(sK20,X0,X0,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_10373,plain,
( perp(sK20,sK20,sK20,sK24)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_10372]) ).
tcf(c_10466,plain,
! [X0: $i,X1: $i] :
( midp(sK26,X1,sK21)
| ~ midp(X0,sK25,sK20)
| ~ coll(sK26,X1,sK21)
| ~ midp(X0,X1,sK25) ),
inference(resolution,[status(thm)],[c_5175,c_94]) ).
tcf(c_10467,plain,
( midp(sK26,sK20,sK21)
| ~ midp(sK20,sK20,sK25)
| ~ midp(sK20,sK25,sK20)
| ~ coll(sK26,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_10466]) ).
tcf(c_10631,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ para(sK25,X0,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_10634,plain,
( coll(sK25,sK20,sK20)
| ~ para(sK25,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_10631]) ).
tcf(c_10687,plain,
! [X0: $i] :
( perp(sK20,X0,sK21,X0)
| ~ cong(sK20,sK21,X0,sK21)
| ~ cong(sK20,X0,X0,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_10688,plain,
( perp(sK20,sK20,sK21,sK20)
| ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10687]) ).
tcf(c_11871,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK24,sK27)
| ~ cong(X0,sK24,X1,sK24)
| ~ cong(X0,sK27,X1,sK27) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_11872,plain,
( perp(sK20,sK20,sK24,sK27)
| ~ cong(sK20,sK24,sK20,sK24)
| ~ cong(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_11871]) ).
tcf(c_13009,plain,
! [X0: $i,X1: $i] :
( cong(sK21,sK20,sK21,X1)
| ~ midp(X0,sK20,X1)
| ~ perp(sK21,X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_13010,plain,
( cong(sK21,sK20,sK21,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ perp(sK21,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13009]) ).
tcf(c_13643,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,sK24,X2,X3)
| ~ perp(sK20,sK24,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_13647,plain,
( para(sK20,sK24,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13643]) ).
tcf(c_13703,plain,
para(sK20,sK24,sK21,sK25),
inference(superposition,[status(thm)],[c_167,c_52]) ).
tcf(c_13955,plain,
( cong(sK27,sK21,sK20,sK27)
| ~ midp(sK26,sK20,sK21) ),
inference(superposition,[status(thm)],[c_1657,c_71]) ).
tcf(c_14154,plain,
para(sK25,sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_13703,c_1724]) ).
tcf(c_14243,plain,
para(sK21,sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_14154,c_53]) ).
tcf(c_17126,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK20,X2,sK21)
| ~ coll(sK20,X2,sK21)
| ~ midp(X0,X2,X1)
| ~ para(X0,sK20,X1,sK21) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_17127,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK21)
| ~ para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_17126]) ).
tcf(c_17773,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_20633,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK21,X1,sK24)
| ~ midp(sK21,X0,X2)
| ~ para(X0,sK24,X2,X1)
| ~ para(X0,X1,X2,sK24) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_20634,plain,
( midp(sK21,sK20,sK24)
| ~ midp(sK21,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK24)
| ~ para(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20633]) ).
tcf(c_20969,plain,
! [X0: $i] :
( coll(sK26,sK20,sK21)
| ~ coll(sK21,X0,sK26)
| ~ coll(sK21,X0,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_20970,plain,
( coll(sK26,sK20,sK21)
| ~ coll(sK21,sK20,sK26)
| ~ coll(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20969]) ).
tcf(c_21543,plain,
para(sK21,sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_14243,c_52]) ).
tcf(c_21903,plain,
coll(sK21,sK25,sK25),
inference(superposition,[status(thm)],[c_21543,c_115]) ).
tcf(c_22809,plain,
coll(sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_21903,c_50]) ).
tcf(c_23717,plain,
coll(sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_22809,c_49]) ).
tcf(c_26404,plain,
! [X0: $i] :
( cong(X0,sK24,X0,sK24)
| ~ midp(X0,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_26405,plain,
( cong(sK20,sK24,sK20,sK24)
| ~ midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_26404]) ).
tcf(c_28134,plain,
( cong(sK27,sK20,sK20,sK27)
| ~ midp(sK26,sK20,sK21) ),
inference(superposition,[status(thm)],[c_13955,c_2309]) ).
tcf(c_29621,plain,
( cong(sK20,sK27,sK27,sK20)
| ~ midp(sK26,sK20,sK21) ),
inference(superposition,[status(thm)],[c_28134,c_72]) ).
tcf(c_30410,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X0,X1)
| cyclic(X1,X2,X0,X0)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_90]) ).
tcf(c_30560,plain,
para(sK25,sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_167,c_1724]) ).
tcf(c_30575,plain,
! [X0: $i] :
( coll(sK25,sK25,sK21)
| cyclic(sK21,X0,sK25,sK25) ),
inference(superposition,[status(thm)],[c_30560,c_30410]) ).
tcf(c_30614,plain,
coll(sK25,sK25,sK21),
inference(global_subsumption_just,[status(thm)],[c_30575,c_23717]) ).
tcf(c_33220,plain,
! [X0: $i] :
( coll(sK26,X0,sK25)
| ~ coll(sK25,sK25,X0) ),
inference(superposition,[status(thm)],[c_1184,c_51]) ).
tcf(c_33400,plain,
coll(sK26,sK21,sK25),
inference(superposition,[status(thm)],[c_30614,c_33220]) ).
tcf(c_33559,plain,
coll(sK26,sK25,sK21),
inference(superposition,[status(thm)],[c_33400,c_49]) ).
tcf(c_33987,plain,
! [X0: $i] :
( coll(sK21,X0,sK26)
| ~ coll(sK26,sK25,X0) ),
inference(superposition,[status(thm)],[c_33559,c_51]) ).
tcf(c_33991,plain,
( coll(sK21,sK20,sK26)
| ~ coll(sK26,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_33987]) ).
tcf(c_36896,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK25,sK27,X1,X2)
| ~ midp(sK27,X0,X2)
| ~ midp(sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_36897,plain,
( para(sK25,sK27,sK20,sK20)
| ~ midp(sK27,sK20,sK20)
| ~ midp(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_36896]) ).
tcf(c_39517,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK27,X1,sK27)
| ~ cong(X0,sK27,sK27,X1) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_39518,plain,
( cong(sK20,sK27,sK20,sK27)
| ~ cong(sK20,sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_39517]) ).
tcf(c_39519,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_39518,c_36897,c_33991,c_29621,c_26405,c_20970,c_20634,c_17773,c_17127,c_13647,c_13010,c_11872,c_10688,c_10634,c_10467,c_10373,c_10302,c_9974,c_9809,c_9606,c_9305,c_9150,c_7887,c_7313,c_6231,c_5914,c_5901,c_5481,c_5297,c_5193,c_5103,c_4303,c_4231,c_3778,c_2365,c_2337,c_2328,c_2243,c_1380,c_1379,c_1220,c_1154,c_908,c_865,c_806,c_716,c_714,c_705,c_702,c_608,c_521,c_375,c_363,c_235,c_202,c_186,c_181,c_177,c_162,c_170,c_163,c_169,c_171]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO638+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 12:42:40 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 21.50/5.25 % SZS status Started for theBenchmark.p
% 21.50/5.25 % SZS status Theorem for theBenchmark.p
% 21.50/5.25
% 21.50/5.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 21.50/5.25
% 21.50/5.25 % ------ iProver source info
% 21.50/5.25
% 21.50/5.25 % git: date: 2026-07-19 20:42:38 +0200
% 21.50/5.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 21.50/5.25 % git: non_committed_changes: false
% 21.50/5.25
% 21.50/5.25 % ------ Parsing...
% 21.50/5.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 21.50/5.25
% 21.50/5.25 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e %
% 21.50/5.25
% 21.50/5.25 % ------ Preprocessing...%
% 21.50/5.25
% 21.50/5.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 21.50/5.25 % ------ Proving...
% 21.50/5.25 % ------ Problem Properties
% 21.50/5.25
% 21.50/5.25 %
% 21.50/5.25 % clauses 122
% 21.50/5.25 % conjectures 10
% 21.50/5.25 % EPR 85
% 21.50/5.25 % Horn 112
% 21.50/5.25 % unary 10
% 21.50/5.25 % binary 37
% 21.50/5.25 % lits 338
% 21.50/5.25 % lits eq 4
% 21.50/5.25 % fd_pure 0
% 21.50/5.25 % fd_pseudo 0
% 21.50/5.25 % fd_cond 0
% 21.50/5.25 % fd_pseudo_cond 4
% 21.50/5.25 % AC symbols 0
% 21.50/5.25
% 21.50/5.25 % ------ Input Options Time Limit: Unbounded
% 21.50/5.25
% 21.50/5.25
% 21.50/5.25 % ------
% 21.50/5.25 % Current options:
% 21.50/5.25 % ------
% 21.50/5.25
% 21.50/5.25
% 21.50/5.25 %
% 21.50/5.25
% 21.50/5.25 % ------ Proving...
% 21.50/5.25 %
% 21.50/5.25
% 21.50/5.25 % SZS status Theorem for theBenchmark.p
% 21.50/5.25
% 21.50/5.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 21.50/5.26
% 21.50/5.26
%------------------------------------------------------------------------------