%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO651+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 : n001.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 01:21:45 PM UTC 2026
% Result : Theorem 25.42s 4.28s
% Output : CNFRefutation 25.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 33
% Syntax : Number of formulae : 360 ( 74 unt; 0 def)
% Number of atoms : 859 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 892 ( 393 ~; 387 |; 78 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 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 : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-4 aty)
% Number of variables : 899 ( 0 sgn 875 !; 24 ?; 289 :)
% 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(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/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(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(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(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
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(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f86,axiom,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ( perp(X1,X3,X0,X2)
& perp(X0,X3,X1,X2) )
=> ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX10) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( para(X0,X2,X5,X3)
& perp(X2,X4,X2,X5)
& perp(X1,X2,X8,X4)
& midp(X8,X1,X2)
& perp(X0,X2,X7,X4)
& midp(X7,X0,X2)
& perp(X0,X1,X6,X4)
& midp(X6,X0,X1)
& eqangle(X0,X2,X2,X3,X3,X2,X2,X1)
& coll(X3,X0,X1) )
=> cong(X2,X5,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02212) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( para(X0,X2,X5,X3)
& perp(X2,X4,X2,X5)
& perp(X1,X2,X8,X4)
& midp(X8,X1,X2)
& perp(X0,X2,X7,X4)
& midp(X7,X0,X2)
& perp(X0,X1,X6,X4)
& midp(X6,X0,X1)
& eqangle(X0,X2,X2,X3,X3,X2,X2,X1)
& coll(X3,X0,X1) )
=> cong(X2,X5,X3,X1) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( para(X0,X2,X5,X3)
& perp(X2,X4,X2,X5)
& perp(X1,X2,X8,X4)
& midp(X8,X1,X2)
& perp(X0,X2,X7,X4)
& midp(X7,X0,X2)
& perp(X0,X1,X6,X4)
& midp(X6,X0,X1)
& eqangle(X0,X2,X2,X3,X3,X2,X2,X1)
& coll(X3,X0,X1)
& ~ cong(X2,X5,X3,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( para(X0,X2,X5,X3)
& perp(X2,X4,X2,X5)
& perp(X1,X2,X8,X4)
& midp(X8,X1,X2)
& perp(X0,X2,X7,X4)
& midp(X7,X0,X2)
& perp(X0,X1,X6,X4)
& midp(X6,X0,X1)
& eqangle(X0,X2,X2,X3,X3,X2,X2,X1)
& coll(X3,X0,X1)
& ~ cong(X2,X5,X3,X1) ),
inference(flattening,[],[f98]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2)
| ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) ) ),
inference(ennf_transformation,[],[f86]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
? [X4,X5] :
( ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2)
| ( perp(X1,X5,X2,X0)
& coll(X5,X2,X0)
& perp(X0,X4,X2,X1)
& coll(X4,X2,X1) ) ),
inference(flattening,[],[f106]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f126,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(f127,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,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f131,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f136]) ).
fof(f142,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(f143,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,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f145,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f146]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f150,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(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,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(f153,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f152]) ).
fof(f154,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(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f157,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f162,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(f163,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f162]) ).
fof(f164,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f170,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f171,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f173,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(f174,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f177,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f177]) ).
fof(f180,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(ennf_transformation,[],[f19]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f183,plain,
( para(sK0,sK2,sK5,sK3)
& perp(sK2,sK4,sK2,sK5)
& perp(sK1,sK2,sK8,sK4)
& midp(sK8,sK1,sK2)
& perp(sK0,sK2,sK7,sK4)
& midp(sK7,sK0,sK2)
& perp(sK0,sK1,sK6,sK4)
& midp(sK6,sK0,sK1)
& eqangle(sK0,sK2,sK2,sK3,sK3,sK2,sK2,sK1)
& coll(sK3,sK0,sK1)
& ~ cong(sK2,sK5,sK3,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8)],[f99]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2)
| ( perp(X1,sK13(X0,X1,X2,X3),X2,X0)
& coll(sK13(X0,X1,X2,X3),X2,X0)
& perp(X0,sK12(X0,X1,X2,X3),X2,X1)
& coll(sK12(X0,X1,X2,X3),X2,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13]),skolemize(X4,sK12(X0,X1,X2,X3)),skolemize(X5,sK13(X0,X1,X2,X3))],[f107]) ).
fof(f198,plain,
para(sK0,sK2,sK5,sK3),
inference(cnf_transformation,[],[f183]) ).
fof(f199,plain,
perp(sK2,sK4,sK2,sK5),
inference(cnf_transformation,[],[f183]) ).
fof(f200,plain,
perp(sK1,sK2,sK8,sK4),
inference(cnf_transformation,[],[f183]) ).
fof(f201,plain,
midp(sK8,sK1,sK2),
inference(cnf_transformation,[],[f183]) ).
fof(f202,plain,
perp(sK0,sK2,sK7,sK4),
inference(cnf_transformation,[],[f183]) ).
fof(f203,plain,
midp(sK7,sK0,sK2),
inference(cnf_transformation,[],[f183]) ).
fof(f206,plain,
eqangle(sK0,sK2,sK2,sK3,sK3,sK2,sK2,sK1),
inference(cnf_transformation,[],[f183]) ).
fof(f208,plain,
~ cong(sK2,sK5,sK3,sK1),
inference(cnf_transformation,[],[f183]) ).
fof(f218,plain,
! [X2,X3,X0,X1] :
( ~ perp(X1,X3,X0,X2)
| ~ perp(X0,X3,X1,X2)
| coll(sK12(X0,X1,X2,X3),X2,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f230,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f234,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,[],[f127]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f244,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f137]) ).
fof(f247,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,[],[f143]) ).
fof(f248,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f145]) ).
fof(f249,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f251,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f252,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,[],[f151]) ).
fof(f253,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,[],[f153]) ).
fof(f254,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,[],[f155]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f256,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f259,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f260,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f261,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f167]) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f264,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f267,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,[],[f174]) ).
fof(f268,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
fof(f269,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f176]) ).
fof(f270,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f178]) ).
fof(f272,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f180]) ).
fof(f273,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f181]) ).
fof(f274,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_49,negated_conjecture,
~ cong(sK2,sK5,sK3,sK1),
inference(cnf_transformation,[],[f208]) ).
tcf(c_51,negated_conjecture,
eqangle(sK0,sK2,sK2,sK3,sK3,sK2,sK2,sK1),
inference(cnf_transformation,[],[f206]) ).
tcf(c_54,negated_conjecture,
midp(sK7,sK0,sK2),
inference(cnf_transformation,[],[f203]) ).
tcf(c_55,negated_conjecture,
perp(sK0,sK2,sK7,sK4),
inference(cnf_transformation,[],[f202]) ).
tcf(c_56,negated_conjecture,
midp(sK8,sK1,sK2),
inference(cnf_transformation,[],[f201]) ).
tcf(c_57,negated_conjecture,
perp(sK1,sK2,sK8,sK4),
inference(cnf_transformation,[],[f200]) ).
tcf(c_58,negated_conjecture,
perp(sK2,sK4,sK2,sK5),
inference(cnf_transformation,[],[f199]) ).
tcf(c_59,negated_conjecture,
para(sK0,sK2,sK5,sK3),
inference(cnf_transformation,[],[f198]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(sK12(X0,X2,X3,X1),X3,X2)
| ~ perp(X2,X1,X0,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f231]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f232]) ).
tcf(c_85,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,[],[f234]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f237]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_98,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,[],[f247]) ).
tcf(c_99,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,[],[f248]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X3,X0,X4,X2)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f249]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f252]) ).
tcf(c_104,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,[],[f253]) ).
tcf(c_105,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,[],[f254]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f255]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
tcf(c_110,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,[],[f259]) ).
tcf(c_111,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,[],[f260]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f261]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f262]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f263]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f265]) ).
tcf(c_118,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,[],[f267]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X8,X9,X10,X11,X4,X5,X6,X7)
| ~ eqangle(X8,X9,X10,X11,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f270]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_127,plain,
( cong(sK2,sK2,sK2,sK2)
| ~ midp(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_134,plain,
( perp(sK2,sK2,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_963,plain,
( coll(sK7,sK0,sK2)
| ~ midp(sK7,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_969,plain,
( midp(sK8,sK2,sK1)
| ~ midp(sK8,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_971,plain,
( cong(sK7,sK0,sK7,sK2)
| ~ midp(sK7,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_972,plain,
( cong(sK8,sK1,sK8,sK2)
| ~ midp(sK8,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_978,plain,
( perp(sK2,sK5,sK2,sK4)
| ~ perp(sK2,sK4,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_996,plain,
! [X0: $i,X1: $i] :
( para(X0,sK8,X1,sK2)
| ~ midp(sK8,sK1,sK2)
| ~ midp(X0,sK1,X1) ),
inference(instantiation,[status(thm)],[c_100]) ).
tcf(c_997,plain,
( para(sK2,sK8,sK2,sK2)
| ~ midp(sK8,sK1,sK2)
| ~ midp(sK2,sK1,sK2) ),
inference(instantiation,[status(thm)],[c_996]) ).
tcf(c_1026,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK4,X0,X1)
| ~ perp(sK2,sK4,sK2,sK5)
| ~ perp(sK2,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_1037,plain,
( coll(sK12(sK2,sK2,sK5,sK4),sK5,sK2)
| ~ perp(sK2,sK4,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_1071,plain,
( eqangle(sK3,sK2,sK2,sK1,sK0,sK2,sK2,sK3)
| ~ eqangle(sK0,sK2,sK2,sK3,sK3,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_1114,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK3,sK2,sK2,sK1)
| ~ eqangle(sK0,sK2,sK2,sK3,sK3,sK2,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK0,sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_1150,plain,
! [X0: $i] :
( coll(sK2,X0,sK7)
| ~ coll(sK7,sK0,sK2)
| ~ coll(sK7,sK0,X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_1152,plain,
( coll(sK0,sK7,sK2)
| ~ coll(sK7,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_1153,plain,
( coll(sK2,sK2,sK7)
| ~ coll(sK7,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_1150]) ).
tcf(c_1260,plain,
! [X0: $i] :
( cong(X0,sK2,X0,sK1)
| ~ midp(sK8,sK2,sK1)
| ~ perp(X0,sK8,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_111]) ).
tcf(c_1261,plain,
( cong(sK2,sK2,sK2,sK1)
| ~ midp(sK8,sK2,sK1)
| ~ perp(sK2,sK8,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_1260]) ).
tcf(c_1406,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK5,X0,X1)
| ~ perp(sK2,sK5,sK2,sK4)
| ~ perp(sK2,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_1411,plain,
( para(sK2,sK5,sK2,sK2)
| ~ perp(sK2,sK4,sK2,sK2)
| ~ perp(sK2,sK5,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_1406]) ).
tcf(c_1475,plain,
coll(sK7,sK0,sK2),
inference(superposition,[status(thm)],[c_54,c_81]) ).
tcf(c_1476,plain,
coll(sK8,sK1,sK2),
inference(superposition,[status(thm)],[c_56,c_81]) ).
tcf(c_1498,plain,
( coll(sK5,sK12(sK2,sK2,sK5,sK4),sK2)
| ~ coll(sK12(sK2,sK2,sK5,sK4),sK5,sK2) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_1536,plain,
coll(sK0,sK7,sK2),
inference(superposition,[status(thm)],[c_1475,c_87]) ).
tcf(c_1558,plain,
coll(sK8,sK2,sK1),
inference(superposition,[status(thm)],[c_1476,c_88]) ).
tcf(c_1661,plain,
coll(sK2,sK8,sK1),
inference(superposition,[status(thm)],[c_1558,c_87]) ).
tcf(c_1668,plain,
( para(sK2,sK4,sK2,sK4)
| ~ perp(sK2,sK4,sK2,sK5)
| ~ perp(sK2,sK5,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_1026]) ).
tcf(c_1687,plain,
midp(sK7,sK2,sK0),
inference(superposition,[status(thm)],[c_54,c_116]) ).
tcf(c_1688,plain,
midp(sK8,sK2,sK1),
inference(superposition,[status(thm)],[c_56,c_116]) ).
tcf(c_1694,plain,
midp(sK7,sK2,sK0),
inference(superposition,[status(thm)],[c_54,c_116]) ).
tcf(c_1831,plain,
perp(sK7,sK4,sK0,sK2),
inference(superposition,[status(thm)],[c_55,c_113]) ).
tcf(c_1832,plain,
perp(sK8,sK4,sK1,sK2),
inference(superposition,[status(thm)],[c_57,c_113]) ).
tcf(c_1833,plain,
perp(sK2,sK5,sK2,sK4),
inference(superposition,[status(thm)],[c_58,c_113]) ).
tcf(c_1841,plain,
perp(sK2,sK5,sK2,sK4),
inference(superposition,[status(thm)],[c_58,c_113]) ).
tcf(c_1848,plain,
( eqangle(sK3,sK2,sK2,sK1,sK3,sK2,sK2,sK1)
| ~ eqangle(sK0,sK2,sK2,sK3,sK3,sK2,sK2,sK1)
| ~ eqangle(sK3,sK2,sK2,sK1,sK0,sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_1114]) ).
tcf(c_1891,plain,
perp(sK0,sK2,sK4,sK7),
inference(superposition,[status(thm)],[c_55,c_114]) ).
tcf(c_1892,plain,
perp(sK1,sK2,sK4,sK8),
inference(superposition,[status(thm)],[c_57,c_114]) ).
tcf(c_2028,plain,
perp(sK2,sK5,sK4,sK2),
inference(superposition,[status(thm)],[c_1833,c_114]) ).
tcf(c_2030,plain,
perp(sK2,sK5,sK4,sK2),
inference(superposition,[status(thm)],[c_1841,c_114]) ).
tcf(c_2058,plain,
perp(sK4,sK7,sK0,sK2),
inference(superposition,[status(thm)],[c_1891,c_113]) ).
tcf(c_2062,plain,
perp(sK4,sK8,sK1,sK2),
inference(superposition,[status(thm)],[c_1892,c_113]) ).
tcf(c_2140,plain,
! [X0: $i] :
( coll(sK2,X0,sK7)
| ~ coll(sK7,sK0,X0) ),
inference(superposition,[status(thm)],[c_1475,c_86]) ).
tcf(c_2141,plain,
! [X0: $i] :
( coll(sK2,X0,sK8)
| ~ coll(sK8,sK1,X0) ),
inference(superposition,[status(thm)],[c_1476,c_86]) ).
tcf(c_2147,plain,
! [X0: $i] :
( coll(sK2,X0,sK0)
| ~ coll(sK0,sK7,X0) ),
inference(superposition,[status(thm)],[c_1536,c_86]) ).
tcf(c_2157,plain,
! [X0: $i] :
( coll(sK1,X0,sK2)
| ~ coll(sK2,sK8,X0) ),
inference(superposition,[status(thm)],[c_1661,c_86]) ).
tcf(c_2214,plain,
( coll(sK1,sK2,sK2)
| ~ coll(sK2,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_2157]) ).
tcf(c_2221,plain,
( coll(sK2,sK2,sK0)
| ~ coll(sK0,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_2147]) ).
tcf(c_2534,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK0,X1)
| ~ midp(sK7,X0,X1) ),
inference(superposition,[status(thm)],[c_1687,c_99]) ).
tcf(c_2535,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK1,X1)
| ~ midp(sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_1688,c_99]) ).
tcf(c_2564,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,sK0,X1)
| ~ midp(sK7,X0,X1) ),
inference(superposition,[status(thm)],[c_1694,c_99]) ).
tcf(c_3354,plain,
coll(sK2,sK2,sK7),
inference(superposition,[status(thm)],[c_1475,c_2140]) ).
tcf(c_3364,plain,
coll(sK2,sK2,sK8),
inference(superposition,[status(thm)],[c_1476,c_2141]) ).
tcf(c_3398,plain,
( cong(sK2,sK2,sK2,sK5)
| ~ midp(sK4,sK2,sK5) ),
inference(superposition,[status(thm)],[c_58,c_111]) ).
tcf(c_3400,plain,
( cong(sK7,sK0,sK7,sK2)
| ~ midp(sK4,sK0,sK2) ),
inference(superposition,[status(thm)],[c_1831,c_111]) ).
tcf(c_3401,plain,
( cong(sK8,sK1,sK8,sK2)
| ~ midp(sK4,sK1,sK2) ),
inference(superposition,[status(thm)],[c_1832,c_111]) ).
tcf(c_3412,plain,
( cong(sK4,sK0,sK4,sK2)
| ~ midp(sK7,sK0,sK2) ),
inference(superposition,[status(thm)],[c_2058,c_111]) ).
tcf(c_3413,plain,
( cong(sK4,sK1,sK4,sK2)
| ~ midp(sK8,sK1,sK2) ),
inference(superposition,[status(thm)],[c_2062,c_111]) ).
tcf(c_3417,plain,
cong(sK4,sK1,sK4,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_3413,c_56]) ).
tcf(c_3418,plain,
cong(sK4,sK0,sK4,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_3412,c_54]) ).
tcf(c_3716,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK7,sK4)
| ~ para(X0,X1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_55,c_103]) ).
tcf(c_3802,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK7,sK4)
| ~ para(X0,X1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_55,c_103]) ).
tcf(c_4001,plain,
! [X0: $i] :
( coll(sK2,X0,sK5)
| ~ coll(sK5,sK12(sK2,sK2,sK5,sK4),sK2)
| ~ coll(sK5,sK12(sK2,sK2,sK5,sK4),X0) ),
inference(instantiation,[status(thm)],[c_86]) ).
tcf(c_4004,plain,
( coll(sK2,sK2,sK5)
| ~ coll(sK5,sK12(sK2,sK2,sK5,sK4),sK2) ),
inference(instantiation,[status(thm)],[c_4001]) ).
tcf(c_4038,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK4,X0,X1)
| ~ perp(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_58,c_104]) ).
tcf(c_4124,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK4,X0,X1)
| ~ perp(sK2,sK5,X0,X1) ),
inference(superposition,[status(thm)],[c_58,c_104]) ).
tcf(c_4259,plain,
! [X0: $i] :
( coll(sK2,sK7,X0)
| ~ coll(sK2,X0,sK7) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4261,plain,
( coll(sK2,sK7,sK2)
| ~ coll(sK2,sK2,sK7) ),
inference(instantiation,[status(thm)],[c_4259]) ).
tcf(c_4317,plain,
coll(sK2,sK7,sK2),
inference(superposition,[status(thm)],[c_3354,c_88]) ).
tcf(c_4340,plain,
! [X0: $i] :
( coll(sK8,X0,sK2)
| ~ coll(sK2,sK2,X0) ),
inference(superposition,[status(thm)],[c_3364,c_86]) ).
tcf(c_4341,plain,
coll(sK2,sK8,sK2),
inference(superposition,[status(thm)],[c_3364,c_88]) ).
tcf(c_4345,plain,
( coll(sK8,sK2,sK2)
| ~ coll(sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_4340]) ).
tcf(c_4368,plain,
! [X0: $i] :
( coll(sK2,X0,sK2)
| ~ coll(sK2,sK7,X0) ),
inference(superposition,[status(thm)],[c_4317,c_86]) ).
tcf(c_4370,plain,
coll(sK7,sK2,sK2),
inference(superposition,[status(thm)],[c_4317,c_87]) ).
tcf(c_4373,plain,
( coll(sK2,sK2,sK2)
| ~ coll(sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_4368]) ).
tcf(c_4436,plain,
cong(sK4,sK1,sK2,sK4),
inference(superposition,[status(thm)],[c_3417,c_120]) ).
tcf(c_4470,plain,
cong(sK4,sK2,sK4,sK0),
inference(superposition,[status(thm)],[c_3418,c_119]) ).
tcf(c_4575,plain,
( coll(sK2,sK4,sK4)
| ~ para(sK2,sK4,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_4714,plain,
( cong(sK2,sK5,sK2,sK2)
| ~ midp(sK4,sK2,sK5) ),
inference(superposition,[status(thm)],[c_3398,c_119]) ).
tcf(c_4785,plain,
cong(sK2,sK4,sK4,sK1),
inference(superposition,[status(thm)],[c_4436,c_119]) ).
tcf(c_4854,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK5,sK3)
| ~ para(X0,X1,sK0,sK2) ),
inference(superposition,[status(thm)],[c_59,c_105]) ).
tcf(c_5030,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK4,sK2)
| ~ cong(X0,X1,sK4,sK0) ),
inference(superposition,[status(thm)],[c_3418,c_118]) ).
tcf(c_5031,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK4,sK2)
| ~ cong(X0,X1,sK4,sK1) ),
inference(superposition,[status(thm)],[c_3417,c_118]) ).
tcf(c_5032,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK2,sK4)
| ~ cong(X0,X1,sK4,sK1) ),
inference(superposition,[status(thm)],[c_4436,c_118]) ).
tcf(c_5060,plain,
( cong(sK2,sK2,sK4,sK2)
| ~ cong(sK2,sK2,sK4,sK1) ),
inference(instantiation,[status(thm)],[c_5031]) ).
tcf(c_5597,plain,
para(sK2,sK4,sK2,sK4),
inference(superposition,[status(thm)],[c_1833,c_4038]) ).
tcf(c_5598,plain,
para(sK2,sK4,sK4,sK2),
inference(superposition,[status(thm)],[c_2028,c_4038]) ).
tcf(c_5604,plain,
para(sK2,sK4,sK4,sK2),
inference(superposition,[status(thm)],[c_2030,c_4124]) ).
tcf(c_5610,plain,
( para(sK3,sK2,sK3,sK2)
| ~ eqangle(sK3,sK2,sK2,sK1,sK3,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_5798,plain,
eqangle(sK3,sK2,sK2,sK1,sK0,sK2,sK2,sK3),
inference(superposition,[status(thm)],[c_51,c_123]) ).
tcf(c_5809,plain,
eqangle(sK3,sK2,sK2,sK1,sK0,sK2,sK2,sK3),
inference(superposition,[status(thm)],[c_51,c_123]) ).
tcf(c_5855,plain,
eqangle(sK2,sK3,sK0,sK2,sK2,sK1,sK3,sK2),
inference(superposition,[status(thm)],[c_51,c_124]) ).
tcf(c_6444,plain,
! [X0: $i,X1: $i] :
( perp(sK7,sK4,X0,X1)
| ~ perp(X0,X1,sK7,sK4) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_6445,plain,
( perp(sK7,sK4,sK2,sK2)
| ~ perp(sK2,sK2,sK7,sK4) ),
inference(instantiation,[status(thm)],[c_6444]) ).
tcf(c_6471,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK4,sK1)
| ~ cong(X0,X1,sK2,sK4) ),
inference(superposition,[status(thm)],[c_4785,c_118]) ).
tcf(c_6490,plain,
eqangle(sK2,sK3,sK2,sK1,sK0,sK2,sK2,sK3),
inference(superposition,[status(thm)],[c_5798,c_125]) ).
tcf(c_6613,plain,
! [X0: $i,X1: $i] :
( midp(sK7,X0,X1)
| ~ coll(sK7,X0,X1)
| ~ cong(sK7,X0,sK7,X1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_6614,plain,
( midp(sK7,sK2,sK2)
| ~ coll(sK7,sK2,sK2)
| ~ cong(sK7,sK2,sK7,sK2) ),
inference(instantiation,[status(thm)],[c_6613]) ).
tcf(c_6615,plain,
! [X0: $i,X1: $i] :
( midp(sK8,X0,X1)
| ~ coll(sK8,X0,X1)
| ~ cong(sK8,X0,sK8,X1) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_6616,plain,
( midp(sK8,sK2,sK2)
| ~ coll(sK8,sK2,sK2)
| ~ cong(sK8,sK2,sK8,sK2) ),
inference(instantiation,[status(thm)],[c_6615]) ).
tcf(c_7106,plain,
! [X0: $i] :
( perp(sK2,X0,X0,sK1)
| ~ perp(X0,sK1,sK2,X0) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_7107,plain,
( perp(sK2,sK2,sK2,sK1)
| ~ perp(sK2,sK1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_7106]) ).
tcf(c_7142,plain,
! [X0: $i] :
( coll(sK3,sK2,X0)
| ~ para(sK3,sK2,sK3,X0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_7145,plain,
( coll(sK3,sK2,sK2)
| ~ para(sK3,sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_7142]) ).
tcf(c_7221,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,sK1,X2,X3)
| ~ para(X2,sK1,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_7222,plain,
( perp(sK2,sK1,sK2,sK2)
| ~ para(sK2,sK1,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_7221]) ).
tcf(c_7230,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,sK8,sK2,sK1)
| ~ perp(X1,X2,sK2,sK1)
| ~ para(X0,sK8,X1,X2) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_7231,plain,
( perp(sK2,sK8,sK2,sK1)
| ~ para(sK2,sK8,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_7230]) ).
tcf(c_7547,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK3,X1)
| ~ midp(X0,X1,sK3) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_7548,plain,
( midp(sK2,sK3,sK2)
| ~ midp(sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_7547]) ).
tcf(c_8066,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK2,sK5)
| ~ para(sK2,sK5,X0,X1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_8067,plain,
( para(sK2,sK2,sK2,sK5)
| ~ para(sK2,sK5,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_8066]) ).
tcf(c_8242,plain,
coll(sK2,sK4,sK4),
inference(superposition,[status(thm)],[c_5597,c_83]) ).
tcf(c_8336,plain,
! [X0: $i,X1: $i] :
( perp(sK2,sK4,X0,X1)
| ~ cong(sK2,X1,sK4,X1)
| ~ cong(sK2,X0,sK4,X0) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_8337,plain,
( perp(sK2,sK4,sK2,sK2)
| ~ cong(sK2,sK2,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_8336]) ).
tcf(c_8375,plain,
para(sK4,sK2,sK2,sK4),
inference(superposition,[status(thm)],[c_5598,c_106]) ).
tcf(c_8386,plain,
para(sK4,sK2,sK2,sK4),
inference(superposition,[status(thm)],[c_5604,c_106]) ).
tcf(c_8448,plain,
! [X0: $i,X1: $i] :
( cong(sK2,sK5,sK3,sK1)
| ~ cong(sK2,sK5,X0,X1)
| ~ cong(X0,X1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_8523,plain,
cong(sK4,sK2,sK4,sK2),
inference(superposition,[status(thm)],[c_4470,c_5030]) ).
tcf(c_8936,plain,
coll(sK4,sK2,sK4),
inference(superposition,[status(thm)],[c_8242,c_87]) ).
tcf(c_9650,plain,
( para(sK2,sK3,sK0,sK2)
| ~ para(sK2,sK1,sK3,sK2) ),
inference(superposition,[status(thm)],[c_5855,c_95]) ).
tcf(c_10188,plain,
cong(sK2,sK4,sK2,sK4),
inference(superposition,[status(thm)],[c_4785,c_5032]) ).
tcf(c_11532,plain,
coll(sK4,sK4,sK2),
inference(superposition,[status(thm)],[c_8936,c_88]) ).
tcf(c_11984,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,X1,sK0)
| ~ midp(sK7,X0,X1) ),
inference(superposition,[status(thm)],[c_2534,c_107]) ).
tcf(c_11988,plain,
! [X0: $i] :
( perp(sK2,X0,sK7,sK4)
| ~ midp(sK7,X0,sK2) ),
inference(superposition,[status(thm)],[c_2534,c_3716]) ).
tcf(c_12010,plain,
( perp(sK2,sK2,sK7,sK4)
| ~ midp(sK7,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_11988]) ).
tcf(c_12013,plain,
( para(sK2,sK2,sK2,sK0)
| ~ midp(sK7,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_11984]) ).
tcf(c_12026,plain,
! [X0: $i] :
( para(sK2,X0,sK5,sK3)
| ~ midp(sK7,X0,sK2) ),
inference(superposition,[status(thm)],[c_2564,c_4854]) ).
tcf(c_12058,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK1,X0,X1)
| ~ para(X0,X1,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_12059,plain,
( para(sK2,sK1,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_12058]) ).
tcf(c_12110,plain,
! [X0: $i,X1: $i] :
( para(sK2,X0,X1,sK1)
| ~ midp(sK8,X0,X1) ),
inference(superposition,[status(thm)],[c_2535,c_107]) ).
tcf(c_12131,plain,
( para(sK2,sK2,sK2,sK1)
| ~ midp(sK8,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_12110]) ).
tcf(c_12781,plain,
! [X0: $i] :
( coll(sK2,X0,sK4)
| ~ coll(sK4,sK4,X0) ),
inference(superposition,[status(thm)],[c_11532,c_86]) ).
tcf(c_12786,plain,
( coll(sK2,sK2,sK4)
| ~ coll(sK4,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_12781]) ).
tcf(c_14686,plain,
cong(sK7,sK0,sK7,sK2),
inference(global_subsumption_just,[status(thm)],[c_3400,c_54,c_971]) ).
tcf(c_14692,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK7,sK2)
| ~ cong(X0,X1,sK7,sK0) ),
inference(superposition,[status(thm)],[c_14686,c_118]) ).
tcf(c_14694,plain,
cong(sK7,sK2,sK7,sK0),
inference(superposition,[status(thm)],[c_14686,c_119]) ).
tcf(c_14775,plain,
cong(sK8,sK1,sK8,sK2),
inference(global_subsumption_just,[status(thm)],[c_3401,c_56,c_972]) ).
tcf(c_14781,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK8,sK2)
| ~ cong(X0,X1,sK8,sK1) ),
inference(superposition,[status(thm)],[c_14775,c_118]) ).
tcf(c_14783,plain,
cong(sK8,sK2,sK8,sK1),
inference(superposition,[status(thm)],[c_14775,c_119]) ).
tcf(c_15075,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK3,sK2,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK0,sK2,sK2,sK3) ),
inference(superposition,[status(thm)],[c_51,c_121]) ).
tcf(c_15145,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK3,sK2,sK2,sK1)
| ~ eqangle(X0,X1,X2,X3,sK0,sK2,sK2,sK3) ),
inference(superposition,[status(thm)],[c_51,c_121]) ).
tcf(c_15816,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK1,sK3,sK1)
| ~ midp(sK1,X0,X1)
| ~ perp(X0,sK3,sK3,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_15817,plain,
! [X0: $i] :
( cong(sK2,sK5,sK3,sK1)
| ~ cong(sK2,sK5,X0,sK1)
| ~ cong(X0,sK1,sK3,sK1) ),
inference(instantiation,[status(thm)],[c_8448]) ).
tcf(c_15818,plain,
( cong(sK2,sK1,sK3,sK1)
| ~ midp(sK1,sK2,sK2)
| ~ perp(sK2,sK3,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_15816]) ).
tcf(c_15819,plain,
( cong(sK2,sK5,sK3,sK1)
| ~ cong(sK2,sK1,sK3,sK1)
| ~ cong(sK2,sK5,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_15817]) ).
tcf(c_16457,plain,
! [X0: $i,X1: $i] :
( midp(sK1,sK2,sK2)
| ~ coll(sK1,sK2,sK2)
| ~ midp(X0,sK2,X1)
| ~ para(X0,sK1,X1,sK2) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_16458,plain,
( midp(sK1,sK2,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ coll(sK1,sK2,sK2)
| ~ para(sK2,sK1,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_16457]) ).
tcf(c_16461,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X1,sK2,sK0)
| ~ coll(X1,sK2,sK0)
| ~ midp(X0,sK2,X2)
| ~ para(X0,X1,X2,sK0) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_16462,plain,
( midp(sK2,sK2,sK0)
| ~ midp(sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK0)
| ~ para(sK2,sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_16461]) ).
tcf(c_16861,plain,
eqangle(sK2,sK3,sK2,sK1,sK3,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_6490,c_15075]) ).
tcf(c_16873,plain,
eqangle(sK3,sK2,sK2,sK1,sK3,sK2,sK2,sK1),
inference(superposition,[status(thm)],[c_5809,c_15145]) ).
tcf(c_16921,plain,
para(sK3,sK2,sK3,sK2),
inference(superposition,[status(thm)],[c_16873,c_102]) ).
tcf(c_16951,plain,
para(sK2,sK3,sK3,sK2),
inference(superposition,[status(thm)],[c_16861,c_102]) ).
tcf(c_17964,plain,
! [X0: $i] :
( cong(sK2,X0,sK4,sK1)
| ~ midp(sK2,X0,sK4) ),
inference(superposition,[status(thm)],[c_115,c_6471]) ).
tcf(c_17967,plain,
( cong(sK2,sK2,sK4,sK1)
| ~ midp(sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_17964]) ).
tcf(c_18137,plain,
( midp(sK4,sK2,sK2)
| ~ coll(sK4,sK2,sK2) ),
inference(superposition,[status(thm)],[c_8523,c_82]) ).
tcf(c_18153,plain,
( midp(sK2,sK4,sK4)
| ~ coll(sK2,sK4,sK4) ),
inference(superposition,[status(thm)],[c_10188,c_82]) ).
tcf(c_18809,plain,
! [X0: $i] :
( midp(sK2,X0,sK4)
| ~ midp(sK4,X0,sK2)
| ~ coll(sK2,X0,sK4) ),
inference(superposition,[status(thm)],[c_8375,c_85]) ).
tcf(c_18811,plain,
! [X0: $i] :
( midp(sK3,X0,sK2)
| ~ midp(sK2,X0,sK3)
| ~ coll(sK3,X0,sK2) ),
inference(superposition,[status(thm)],[c_16951,c_85]) ).
tcf(c_18860,plain,
( midp(sK3,sK2,sK2)
| ~ midp(sK2,sK2,sK3)
| ~ coll(sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_18811]) ).
tcf(c_18862,plain,
( midp(sK2,sK2,sK4)
| ~ midp(sK4,sK2,sK2)
| ~ coll(sK2,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_18809]) ).
tcf(c_19303,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK1,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK1,X2,X1)
| ~ para(X0,X1,X2,sK1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_19304,plain,
( midp(sK2,sK1,sK2)
| ~ midp(sK2,sK2,sK2)
| ~ para(sK2,sK1,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_19303]) ).
tcf(c_19612,plain,
cong(sK7,sK2,sK7,sK2),
inference(superposition,[status(thm)],[c_14694,c_14692]) ).
tcf(c_21034,plain,
cong(sK8,sK2,sK8,sK2),
inference(superposition,[status(thm)],[c_14783,c_14781]) ).
tcf(c_28171,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,sK3)
| ~ midp(sK7,X0,sK2)
| ~ midp(sK2,X1,sK5)
| ~ coll(X0,X1,sK3) ),
inference(superposition,[status(thm)],[c_12026,c_85]) ).
tcf(c_28191,plain,
( midp(sK2,sK2,sK3)
| ~ midp(sK7,sK2,sK2)
| ~ midp(sK2,sK2,sK5)
| ~ coll(sK2,sK2,sK3) ),
inference(instantiation,[status(thm)],[c_28171]) ).
tcf(c_29059,plain,
para(sK4,sK2,sK4,sK2),
inference(superposition,[status(thm)],[c_8386,c_107]) ).
tcf(c_32381,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,sK3,sK0,X2)
| ~ midp(X0,sK3,X2)
| ~ midp(X0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_99]) ).
tcf(c_32382,plain,
( para(sK2,sK3,sK0,sK2)
| ~ midp(sK2,sK3,sK2)
| ~ midp(sK2,sK2,sK0) ),
inference(instantiation,[status(thm)],[c_32381]) ).
tcf(c_33850,plain,
coll(sK3,sK2,sK2),
inference(superposition,[status(thm)],[c_16921,c_83]) ).
tcf(c_34142,plain,
! [X0: $i] :
( coll(sK2,X0,sK3)
| ~ coll(sK3,sK2,X0) ),
inference(superposition,[status(thm)],[c_33850,c_86]) ).
tcf(c_34147,plain,
( coll(sK2,sK2,sK3)
| ~ coll(sK3,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_34142]) ).
tcf(c_37565,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK3,X1)
| ~ cong(X0,sK3,X1,sK3)
| ~ cong(X0,X1,X1,X1) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_37566,plain,
( perp(sK2,sK2,sK3,sK2)
| ~ cong(sK2,sK3,sK2,sK3)
| ~ cong(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_37565]) ).
tcf(c_38414,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X1,X3,sK5)
| ~ coll(X1,X3,sK5)
| ~ midp(X0,X3,X2)
| ~ para(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_85]) ).
tcf(c_38415,plain,
( midp(sK2,sK2,sK5)
| ~ midp(sK2,sK2,sK2)
| ~ coll(sK2,sK2,sK5)
| ~ para(sK2,sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_38414]) ).
tcf(c_40166,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK3,X0,sK3)
| ~ midp(sK3,X0,X1)
| ~ perp(X0,X0,X0,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_40167,plain,
( cong(sK2,sK3,sK2,sK3)
| ~ midp(sK3,sK2,sK2)
| ~ perp(sK2,sK2,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_40166]) ).
tcf(c_40905,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK4,sK4)
| ~ para(sK4,sK2,sK4,sK2) ),
inference(superposition,[status(thm)],[c_29059,c_98]) ).
tcf(c_40909,plain,
coll(sK4,sK2,sK2),
inference(superposition,[status(thm)],[c_29059,c_83]) ).
tcf(c_40913,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK4,sK4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40905,c_29059]) ).
tcf(c_40916,plain,
( midp(sK2,sK2,sK2)
| ~ midp(sK2,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_40913]) ).
tcf(c_43326,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X3,sK3,sK3,X2)
| ~ para(X3,sK3,X0,X1)
| ~ perp(X0,X1,sK3,X2) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_43327,plain,
( perp(sK2,sK3,sK3,sK2)
| ~ para(sK2,sK3,sK2,sK2)
| ~ perp(sK2,sK2,sK3,sK2) ),
inference(instantiation,[status(thm)],[c_43326]) ).
tcf(c_43550,plain,
para(sK2,sK3,sK0,sK2),
inference(global_subsumption_just,[status(thm)],[c_9650,c_54,c_58,c_51,c_963,c_978,c_1037,c_1071,c_1152,c_1411,c_1498,c_1668,c_1848,c_2221,c_4004,c_4370,c_4575,c_5060,c_5610,c_6614,c_7145,c_7548,c_8067,c_8337,c_11532,c_12013,c_12786,c_16462,c_17967,c_18137,c_18153,c_18862,c_19612,c_28191,c_32382,c_34147,c_38415,c_40909,c_40916]) ).
tcf(c_43560,plain,
perp(sK2,sK3,sK7,sK4),
inference(superposition,[status(thm)],[c_43550,c_3802]) ).
tcf(c_43834,plain,
! [X0: $i,X1: $i] :
( para(sK2,sK3,X0,X1)
| ~ perp(sK7,sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_43560,c_104]) ).
tcf(c_43846,plain,
( para(sK2,sK3,sK2,sK2)
| ~ perp(sK7,sK4,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_43834]) ).
tcf(c_43996,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK2,sK5,X2,sK1)
| ~ cong(sK2,sK5,X0,X1)
| ~ cong(X0,X1,X2,sK1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_43997,plain,
( cong(sK2,sK5,sK2,sK1)
| ~ cong(sK2,sK5,sK2,sK2)
| ~ cong(sK2,sK2,sK2,sK1) ),
inference(instantiation,[status(thm)],[c_43996]) ).
tcf(c_46724,plain,
! [X0: $i,X1: $i] :
( midp(sK4,sK2,sK5)
| ~ midp(sK4,X0,X1)
| ~ para(X0,sK5,X1,sK2)
| ~ para(X0,sK2,X1,sK5) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_46725,plain,
( midp(sK4,sK2,sK5)
| ~ midp(sK4,sK2,sK2)
| ~ para(sK2,sK5,sK2,sK2)
| ~ para(sK2,sK2,sK2,sK5) ),
inference(instantiation,[status(thm)],[c_46724]) ).
tcf(c_46726,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_46725,c_43997,c_43846,c_43327,c_40916,c_40909,c_40167,c_38415,c_37566,c_34147,c_28191,c_21034,c_19612,c_19304,c_18862,c_18860,c_18153,c_18137,c_17967,c_16458,c_15819,c_15818,c_12786,c_12131,c_12059,c_12010,c_11532,c_8337,c_8067,c_7231,c_7222,c_7145,c_7107,c_6616,c_6614,c_6445,c_5610,c_5060,c_4714,c_4575,c_4373,c_4370,c_4345,c_4341,c_4261,c_4004,c_2214,c_1848,c_1668,c_1498,c_1411,c_1261,c_1153,c_1071,c_1037,c_997,c_978,c_969,c_963,c_134,c_127,c_51,c_49,c_58,c_54,c_56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO651+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.34 % Computer : n001.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Wed Sep 23 12:45:49 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 Running first-order theorem proving
% 0.11/0.38 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
% 0.11/0.40
% 0.11/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.40
% 0.11/0.40 % Detected problem language: tptp
% 0.11/0.41 % Proving...
% 25.42/4.28 % SZS status Started for theBenchmark.p
% 25.42/4.28 % SZS status Theorem for theBenchmark.p
% 25.42/4.28
% 25.42/4.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 25.42/4.28
% 25.42/4.28 % ------ iProver source info
% 25.42/4.28
% 25.42/4.28 % git: date: 2026-07-19 20:42:38 +0200
% 25.42/4.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 25.42/4.28 % git: non_committed_changes: false
% 25.42/4.28
% 25.42/4.28 % ------ Parsing...
% 25.42/4.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 25.42/4.28
% 25.42/4.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 25.42/4.28
% 25.42/4.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 25.42/4.28 % ------ Proving...
% 25.42/4.28 % ------ Problem Properties
% 25.42/4.28
% 25.42/4.28 %
% 25.42/4.28 % clauses 76
% 25.42/4.28 % conjectures 11
% 25.42/4.28 % EPR 48
% 25.42/4.28 % Horn 74
% 25.42/4.28 % unary 11
% 25.42/4.28 % binary 19
% 25.42/4.28 % lits 200
% 25.42/4.28 % lits eq 0
% 25.42/4.28 % fd_pure 0
% 25.42/4.28 % fd_pseudo 0
% 25.42/4.28 % fd_cond 0
% 25.42/4.28 % fd_pseudo_cond 0
% 25.42/4.28 % AC symbols 0
% 25.42/4.28
% 25.42/4.28 % ------ Schedule dynamic 5 is on
% 25.42/4.28
% 25.42/4.28 % ------ no equalities: superposition off
% 25.42/4.28
% 25.42/4.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 25.42/4.28
% 25.42/4.28
% 25.42/4.28 % ------
% 25.42/4.28 % Current options:
% 25.42/4.28 % ------
% 25.42/4.28
% 25.42/4.28
% 25.42/4.28 %
% 25.42/4.28
% 25.42/4.28 % ------ Proving...
% 25.42/4.28 %
% 25.42/4.28
% 25.42/4.28 % SZS status Theorem for theBenchmark.p
% 25.42/4.28
% 25.42/4.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 25.42/4.29
% 25.42/4.29
%------------------------------------------------------------------------------