%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO552+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 : n007.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 01:21:27 PM UTC 2026
% Result : Theorem 32.55s 6.35s
% Output : CNFRefutation 32.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 32
% Syntax : Number of formulae : 311 ( 33 unt; 0 def)
% Number of atoms : 801 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 903 ( 413 ~; 407 |; 50 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 800 ( 0 sgn 784 !; 16 ?; 270 :)
% 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(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
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(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(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(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X6,X1,X0)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) )
=> perp(X6,X5,X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012012) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X6,X1,X0)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) )
=> perp(X6,X5,X2,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( midp(X6,X1,X0)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2)
& ~ perp(X6,X5,X2,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f99,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( midp(X6,X1,X0)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2)
& ~ perp(X6,X5,X2,X4) ),
inference(flattening,[],[f98]) ).
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(f142,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(f143,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f145,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f147,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f146]) ).
fof(f148,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(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f148]) ).
fof(f150,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(f151,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f157,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(f158,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,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f159]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f161]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f169,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f169]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(flattening,[],[f179]) ).
fof(f183,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(f184,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(f185,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(f186,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f185]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f198,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(f206,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(f207,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,[],[f206]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f214,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f213]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f218]) ).
fof(f220,plain,
( midp(sK6,sK1,sK0)
& coll(sK5,sK1,sK4)
& coll(sK5,sK0,sK2)
& circle(sK3,sK0,sK4,sK7)
& perp(sK0,sK2,sK1,sK4)
& circle(sK3,sK0,sK1,sK2)
& ~ perp(sK6,sK5,sK2,sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7)],[f99]) ).
fof(f239,plain,
midp(sK6,sK1,sK0),
inference(cnf_transformation,[],[f220]) ).
fof(f243,plain,
perp(sK0,sK2,sK1,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f245,plain,
~ perp(sK6,sK5,sK2,sK4),
inference(cnf_transformation,[],[f220]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f271,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(f272,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f130]) ).
fof(f274,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f131]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f143]) ).
fof(f283,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f147]) ).
fof(f285,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,[],[f149]) ).
fof(f286,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,[],[f151]) ).
fof(f287,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f288,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f153]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f293,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,[],[f158]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f160]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f300,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f170]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f307,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f183]) ).
fof(f308,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f184]) ).
fof(f309,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,[],[f186]) ).
fof(f310,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f188]) ).
fof(f319,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,[],[f198]) ).
fof(f325,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,[],[f207]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f329,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f214]) ).
fof(f333,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
tcf(c_49,negated_conjecture,
~ perp(sK6,sK5,sK2,sK4),
inference(cnf_transformation,[],[f245]) ).
tcf(c_51,negated_conjecture,
perp(sK0,sK2,sK1,sK4),
inference(cnf_transformation,[],[f243]) ).
tcf(c_55,negated_conjecture,
midp(sK6,sK1,sK0),
inference(cnf_transformation,[],[f239]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f267]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f268]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
tcf(c_81,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,[],[f271]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_92,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,[],[f282]) ).
tcf(c_93,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,[],[f283]) ).
tcf(c_94,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,[],[f284]) ).
tcf(c_95,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,[],[f285]) ).
tcf(c_96,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,[],[f286]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f288]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_103,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,[],[f293]) ).
tcf(c_104,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,[],[f294]) ).
tcf(c_105,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,[],[f295]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f296]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f300]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( circle(X0,X1,X2,X3)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_117,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,[],[f307]) ).
tcf(c_118,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,[],[f308]) ).
tcf(c_119,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,[],[f309]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_129,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,[],[f319]) ).
tcf(c_135,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,[],[f325]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f328]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f329]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f333]) ).
tcf(c_146,plain,
( coll(sK0,sK0,sK0)
| ~ para(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_79]) ).
tcf(c_147,plain,
( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_149,plain,
( para(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_153,plain,
( midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_157,plain,
( perp(sK0,sK0,sK0,sK0)
| ~ cong(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_195,plain,
( cong(sK0,sK0,sK0,sK0)
| ~ cyclic(sK0,sK0,sK0,sK0)
| ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_135]) ).
tcf(c_2144,plain,
( coll(sK6,sK1,sK0)
| ~ midp(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_77]) ).
tcf(c_2149,plain,
( midp(sK6,sK0,sK1)
| ~ midp(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_2150,plain,
( cong(sK6,sK1,sK6,sK0)
| ~ midp(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_2159,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK0,X1)
| ~ midp(sK6,sK1,sK0)
| ~ midp(sK6,X0,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_2163,plain,
! [X0: $i] :
( cong(X0,sK1,X0,sK0)
| ~ midp(sK6,sK1,sK0)
| ~ perp(X0,sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_2164,plain,
( cong(sK0,sK1,sK0,sK0)
| ~ midp(sK6,sK1,sK0)
| ~ perp(sK0,sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2163]) ).
tcf(c_2191,plain,
! [X0: $i,X1: $i] :
( midp(sK6,X0,X1)
| ~ midp(sK6,sK1,sK0)
| ~ para(sK1,X1,sK0,X0)
| ~ para(sK1,X0,sK0,X1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_2192,plain,
( midp(sK6,sK0,sK0)
| ~ midp(sK6,sK1,sK0)
| ~ para(sK1,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2191]) ).
tcf(c_2257,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK1,sK0)
| ~ coll(sK6,sK1,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2259,plain,
( coll(sK1,sK6,sK0)
| ~ coll(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_2260,plain,
( coll(sK0,sK0,sK6)
| ~ coll(sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_2257]) ).
tcf(c_2263,plain,
! [X0: $i] :
( perp(sK1,X0,X0,sK0)
| ~ coll(sK6,sK1,sK0)
| ~ circle(sK6,sK1,X0,sK0) ),
inference(instantiation,[status(thm)],[c_110]) ).
tcf(c_2264,plain,
( perp(sK1,sK0,sK0,sK0)
| ~ coll(sK6,sK1,sK0)
| ~ circle(sK6,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2263]) ).
tcf(c_2376,plain,
! [X0: $i] :
( cong(X0,sK0,X0,sK1)
| ~ midp(sK6,sK0,sK1)
| ~ perp(X0,sK6,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_2377,plain,
( cong(sK0,sK0,sK0,sK1)
| ~ midp(sK6,sK0,sK1)
| ~ perp(sK0,sK6,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2376]) ).
tcf(c_2395,plain,
! [X0: $i] :
( cong(sK0,sK6,X0,sK6)
| ~ midp(sK6,sK0,sK1)
| ~ perp(sK0,X0,X0,sK1) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_2396,plain,
( cong(sK0,sK6,sK0,sK6)
| ~ midp(sK6,sK0,sK1)
| ~ perp(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2395]) ).
tcf(c_2405,plain,
! [X0: $i,X1: $i] :
( cyclic(sK1,sK0,X0,X1)
| ~ cong(sK6,sK1,sK6,sK0)
| ~ cong(sK6,sK1,sK6,X1)
| ~ cong(sK6,sK1,sK6,X0) ),
inference(instantiation,[status(thm)],[c_143]) ).
tcf(c_2407,plain,
! [X0: $i] :
( circle(sK6,sK1,sK0,X0)
| ~ cong(sK6,sK1,sK6,sK0)
| ~ cong(sK6,sK1,sK6,X0) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_2408,plain,
( circle(sK6,sK1,sK0,sK0)
| ~ cong(sK6,sK1,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_2407]) ).
tcf(c_2409,plain,
( cyclic(sK1,sK0,sK0,sK0)
| ~ cong(sK6,sK1,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_2405]) ).
tcf(c_2513,plain,
( para(sK1,sK0,sK0,sK1)
| ~ midp(sK6,sK1,sK0)
| ~ midp(sK6,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_2159]) ).
tcf(c_2655,plain,
! [X0: $i] :
( coll(sK0,X0,sK1)
| ~ coll(sK1,sK6,sK0)
| ~ coll(sK1,sK6,X0) ),
inference(instantiation,[status(thm)],[c_82]) ).
tcf(c_2658,plain,
( coll(sK0,sK0,sK1)
| ~ coll(sK1,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_2655]) ).
tcf(c_2660,plain,
! [X0: $i,X1: $i] :
( midp(sK1,sK6,sK0)
| ~ coll(sK1,sK6,sK0)
| ~ midp(X0,sK6,X1)
| ~ para(X0,sK1,X1,sK0) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_2661,plain,
( midp(sK1,sK6,sK0)
| ~ midp(sK0,sK6,sK0)
| ~ coll(sK1,sK6,sK0)
| ~ para(sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2660]) ).
tcf(c_2800,plain,
coll(sK6,sK1,sK0),
inference(superposition,[status(thm)],[c_55,c_77]) ).
tcf(c_2803,plain,
coll(sK6,sK1,sK0),
inference(superposition,[status(thm)],[c_55,c_77]) ).
tcf(c_2817,plain,
coll(sK1,sK6,sK0),
inference(superposition,[status(thm)],[c_2803,c_83]) ).
tcf(c_2851,plain,
coll(sK6,sK0,sK1),
inference(superposition,[status(thm)],[c_2800,c_84]) ).
tcf(c_2858,plain,
coll(sK6,sK0,sK1),
inference(superposition,[status(thm)],[c_2803,c_84]) ).
tcf(c_2900,plain,
midp(sK6,sK0,sK1),
inference(superposition,[status(thm)],[c_55,c_106]) ).
tcf(c_2905,plain,
midp(sK6,sK0,sK1),
inference(superposition,[status(thm)],[c_55,c_106]) ).
tcf(c_3000,plain,
coll(sK0,sK6,sK1),
inference(superposition,[status(thm)],[c_2851,c_83]) ).
tcf(c_3055,plain,
perp(sK1,sK4,sK0,sK2),
inference(superposition,[status(thm)],[c_51,c_97]) ).
tcf(c_3130,plain,
! [X0: $i] :
( coll(sK0,sK6,X0)
| ~ coll(sK0,X0,sK6) ),
inference(instantiation,[status(thm)],[c_84]) ).
tcf(c_3132,plain,
( coll(sK0,sK6,sK0)
| ~ coll(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_3130]) ).
tcf(c_3136,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK0,X2,sK6)
| ~ coll(sK0,X2,sK6)
| ~ midp(X0,X2,X1)
| ~ para(X0,sK0,X1,sK6) ),
inference(instantiation,[status(thm)],[c_81]) ).
tcf(c_3137,plain,
( midp(sK0,sK0,sK6)
| ~ midp(sK0,sK0,sK0)
| ~ coll(sK0,sK0,sK6)
| ~ para(sK0,sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_3136]) ).
tcf(c_3351,plain,
( para(sK0,sK1,sK1,sK0)
| ~ para(sK1,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_3474,plain,
! [X0: $i] :
( coll(sK1,X0,sK0)
| ~ coll(sK0,sK6,X0) ),
inference(superposition,[status(thm)],[c_3000,c_82]) ).
tcf(c_3516,plain,
( coll(sK1,sK0,sK0)
| ~ coll(sK0,sK6,sK0) ),
inference(instantiation,[status(thm)],[c_3474]) ).
tcf(c_3532,plain,
! [X0: $i] :
( coll(sK0,X0,sK6)
| ~ coll(sK6,sK1,X0) ),
inference(superposition,[status(thm)],[c_2803,c_82]) ).
tcf(c_3538,plain,
! [X0: $i] :
( coll(sK1,X0,sK6)
| ~ coll(sK6,sK0,X0) ),
inference(superposition,[status(thm)],[c_2858,c_82]) ).
tcf(c_3539,plain,
! [X0: $i] :
( coll(sK0,X0,sK1)
| ~ coll(sK1,sK6,X0) ),
inference(superposition,[status(thm)],[c_2817,c_82]) ).
tcf(c_3673,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK1,X0,X1,X2)
| ~ perp(sK1,X0,X0,sK0)
| ~ perp(X0,sK0,X1,X2) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_3676,plain,
! [X0: $i] :
( perp(X0,sK0,sK1,X0)
| ~ perp(sK1,X0,X0,sK0) ),
inference(instantiation,[status(thm)],[c_97]) ).
tcf(c_3677,plain,
( perp(sK0,sK0,sK1,sK0)
| ~ perp(sK1,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_3676]) ).
tcf(c_3679,plain,
( para(sK1,sK0,sK0,sK0)
| ~ perp(sK1,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_3673]) ).
tcf(c_3701,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK0,X0,X2,X1)
| ~ cyclic(sK1,sK0,X0,X2)
| ~ cyclic(sK1,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_139]) ).
tcf(c_3708,plain,
( cyclic(sK0,sK0,sK0,sK0)
| ~ cyclic(sK1,sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_3701]) ).
tcf(c_3793,plain,
coll(sK0,sK0,sK6),
inference(superposition,[status(thm)],[c_2803,c_3532]) ).
tcf(c_3931,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK0,X1)
| ~ midp(sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_104]) ).
tcf(c_3945,plain,
! [X0: $i,X1: $i] :
( para(sK1,X0,sK0,X1)
| ~ midp(sK6,X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_104]) ).
tcf(c_3976,plain,
! [X0: $i,X1: $i] :
( para(X0,sK6,X1,sK0)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_55,c_105]) ).
tcf(c_3990,plain,
! [X0: $i,X1: $i] :
( para(X0,sK6,X1,sK0)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_55,c_105]) ).
tcf(c_4048,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK1,X0,X1)
| ~ para(sK0,sK1,sK1,sK0)
| ~ para(sK1,sK0,X0,X1) ),
inference(instantiation,[status(thm)],[c_119]) ).
tcf(c_4050,plain,
( para(sK0,sK1,sK0,sK1)
| ~ para(sK0,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_4053,plain,
( para(sK0,sK1,sK0,sK0)
| ~ para(sK1,sK0,sK0,sK0)
| ~ para(sK0,sK1,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_4048]) ).
tcf(c_4125,plain,
coll(sK0,sK6,sK0),
inference(superposition,[status(thm)],[c_3793,c_84]) ).
tcf(c_4224,plain,
! [X0: $i,X1: $i] :
( para(X1,sK0,X0,sK6)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_3976,c_120]) ).
tcf(c_4232,plain,
( para(sK0,sK0,sK0,sK6)
| ~ midp(sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_4224]) ).
tcf(c_4248,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK1,X1)
| ~ coll(sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_83]) ).
tcf(c_4249,plain,
( coll(sK0,sK1,sK0)
| ~ coll(sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_4248]) ).
tcf(c_4563,plain,
coll(sK6,sK0,sK0),
inference(superposition,[status(thm)],[c_4125,c_83]) ).
tcf(c_5548,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK1,X1)
| ~ coll(X0,sK1,X1)
| ~ cong(X0,sK1,X0,X1) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_5549,plain,
( midp(sK0,sK1,sK0)
| ~ coll(sK0,sK1,sK0)
| ~ cong(sK0,sK1,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_5548]) ).
tcf(c_6330,plain,
! [X0: $i,X1: $i] :
( para(sK0,sK2,X0,X1)
| ~ perp(sK1,sK4,X0,X1) ),
inference(superposition,[status(thm)],[c_51,c_96]) ).
tcf(c_6334,plain,
! [X0: $i,X1: $i] :
( para(sK1,sK4,X0,X1)
| ~ perp(sK0,sK2,X0,X1) ),
inference(superposition,[status(thm)],[c_3055,c_96]) ).
tcf(c_6595,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,sK6,sK0,X2)
| ~ midp(sK6,X1,X2)
| ~ midp(X0,X1,sK0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_6596,plain,
( para(sK0,sK6,sK0,sK0)
| ~ midp(sK0,sK0,sK0)
| ~ midp(sK6,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_6595]) ).
tcf(c_7084,plain,
( perp(sK6,sK5,sK2,sK4)
| ~ perp(sK6,sK5,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_7095,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,X1,sK1)
| ~ perp(X0,X1,sK1,X1) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_7096,plain,
( perp(sK0,sK0,sK0,sK1)
| ~ perp(sK0,sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_7095]) ).
tcf(c_7097,plain,
! [X0: $i] :
( perp(X0,sK6,sK0,sK1)
| ~ perp(X0,sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_98]) ).
tcf(c_7098,plain,
( perp(sK0,sK6,sK0,sK1)
| ~ perp(sK0,sK6,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_7097]) ).
tcf(c_7198,plain,
para(sK0,sK2,sK0,sK2),
inference(superposition,[status(thm)],[c_3055,c_6330]) ).
tcf(c_8151,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,sK6,sK1,sK0)
| ~ perp(X1,X2,sK1,sK0)
| ~ para(X0,sK6,X1,X2) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_8152,plain,
( perp(sK0,sK6,sK1,sK0)
| ~ para(sK0,sK6,sK0,sK0)
| ~ perp(sK0,sK0,sK1,sK0) ),
inference(instantiation,[status(thm)],[c_8151]) ).
tcf(c_8468,plain,
! [X0: $i,X1: $i] :
( perp(sK6,sK5,sK4,sK2)
| ~ para(sK6,sK5,X0,X1)
| ~ perp(X0,X1,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_8469,plain,
( perp(sK6,sK5,sK4,sK2)
| ~ para(sK6,sK5,sK0,sK0)
| ~ perp(sK0,sK0,sK4,sK2) ),
inference(instantiation,[status(thm)],[c_8468]) ).
tcf(c_8500,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK5,X0,X1)
| ~ para(X0,X1,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_120]) ).
tcf(c_8501,plain,
( para(sK6,sK5,sK0,sK0)
| ~ para(sK0,sK0,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_8500]) ).
tcf(c_8958,plain,
( midp(sK0,sK0,sK1)
| ~ coll(sK0,sK0,sK1)
| ~ cong(sK0,sK0,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_78]) ).
tcf(c_9786,plain,
para(sK1,sK4,sK1,sK4),
inference(superposition,[status(thm)],[c_51,c_6334]) ).
tcf(c_11116,plain,
! [X0: $i] :
( midp(sK0,sK6,X0)
| ~ midp(sK0,X0,sK6) ),
inference(instantiation,[status(thm)],[c_106]) ).
tcf(c_11117,plain,
( midp(sK0,sK6,sK0)
| ~ midp(sK0,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_11116]) ).
tcf(c_12345,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK1,X1,sK0)
| ~ midp(sK6,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_3931,c_81]) ).
tcf(c_12441,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK1,X1,sK0)
| ~ midp(sK6,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_3945,c_81]) ).
tcf(c_12442,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(sK6,X1,sK0)
| ~ coll(sK6,X1,sK0)
| ~ midp(X0,sK1,X2)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_3990,c_81]) ).
tcf(c_15701,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK6,sK5)
| ~ cong(X0,sK5,X1,sK5)
| ~ cong(X0,sK6,X1,sK6) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_15702,plain,
( perp(sK0,sK0,sK6,sK5)
| ~ cong(sK0,sK5,sK0,sK5)
| ~ cong(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_15701]) ).
tcf(c_15728,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK4,sK2)
| ~ cong(X0,sK4,X1,sK4)
| ~ cong(X0,sK2,X1,sK2) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_15729,plain,
( perp(sK0,sK0,sK4,sK2)
| ~ cong(sK0,sK4,sK0,sK4)
| ~ cong(sK0,sK2,sK0,sK2) ),
inference(instantiation,[status(thm)],[c_15728]) ).
tcf(c_15856,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK6,sK5)
| ~ perp(X2,X3,sK6,sK5)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_96]) ).
tcf(c_15859,plain,
( para(sK0,sK0,sK6,sK5)
| ~ perp(sK0,sK0,sK0,sK0)
| ~ perp(sK0,sK0,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_15856]) ).
tcf(c_16846,plain,
coll(sK1,sK1,sK6),
inference(superposition,[status(thm)],[c_2858,c_3538]) ).
tcf(c_16856,plain,
coll(sK1,sK6,sK1),
inference(superposition,[status(thm)],[c_16846,c_84]) ).
tcf(c_16935,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK6,sK6)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK6,X1,sK6) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_16936,plain,
( midp(sK0,sK6,sK6)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK6,sK0,sK6) ),
inference(instantiation,[status(thm)],[c_16935]) ).
tcf(c_16937,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK1,sK1)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK1,X1,sK1) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_16938,plain,
( midp(sK0,sK1,sK1)
| ~ midp(sK0,sK0,sK0)
| ~ para(sK0,sK1,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_16937]) ).
tcf(c_17399,plain,
( midp(sK0,sK6,sK1)
| ~ midp(sK1,sK6,sK0)
| ~ midp(sK6,sK0,sK1) ),
inference(superposition,[status(thm)],[c_3000,c_12345]) ).
tcf(c_17533,plain,
( midp(sK0,sK6,sK1)
| ~ midp(sK1,sK6,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17399,c_2900]) ).
tcf(c_19921,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK6,sK0)
| ~ midp(X0,sK1,X1)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK0,X1,sK6) ),
inference(superposition,[status(thm)],[c_3976,c_103]) ).
tcf(c_19927,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0)
| ~ para(sK0,sK2,sK0,sK2) ),
inference(superposition,[status(thm)],[c_7198,c_103]) ).
tcf(c_19930,plain,
! [X0: $i] :
( midp(X0,sK4,sK4)
| ~ midp(X0,sK1,sK1)
| ~ para(sK1,sK4,sK1,sK4) ),
inference(superposition,[status(thm)],[c_9786,c_103]) ).
tcf(c_19956,plain,
! [X0: $i] :
( midp(X0,sK4,sK4)
| ~ midp(X0,sK1,sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19930,c_9786]) ).
tcf(c_19965,plain,
! [X0: $i] :
( midp(X0,sK2,sK2)
| ~ midp(X0,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19927,c_7198]) ).
tcf(c_20046,plain,
( midp(sK0,sK2,sK2)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_19965]) ).
tcf(c_20047,plain,
( midp(sK0,sK4,sK4)
| ~ midp(sK0,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_19956]) ).
tcf(c_20075,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK6,sK0)
| ~ midp(X0,sK1,X1)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK0,X1,sK6) ),
inference(superposition,[status(thm)],[c_3990,c_103]) ).
tcf(c_20763,plain,
coll(sK0,sK0,sK1),
inference(superposition,[status(thm)],[c_2817,c_3539]) ).
tcf(c_20764,plain,
coll(sK0,sK1,sK1),
inference(superposition,[status(thm)],[c_16856,c_3539]) ).
tcf(c_20794,plain,
( midp(sK0,sK0,sK1)
| ~ midp(sK1,sK0,sK0)
| ~ midp(sK6,sK0,sK1) ),
inference(superposition,[status(thm)],[c_20763,c_12441]) ).
tcf(c_20800,plain,
( midp(sK0,sK0,sK1)
| ~ midp(sK1,sK0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20794,c_2905]) ).
tcf(c_20845,plain,
( midp(sK0,sK1,sK1)
| ~ midp(sK1,sK1,sK0)
| ~ midp(sK6,sK0,sK1) ),
inference(superposition,[status(thm)],[c_20764,c_12441]) ).
tcf(c_20851,plain,
( midp(sK0,sK1,sK1)
| ~ midp(sK1,sK1,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20845,c_2905]) ).
tcf(c_20954,plain,
midp(sK0,sK6,sK1),
inference(global_subsumption_just,[status(thm)],[c_17533,c_55,c_146,c_147,c_149,c_153,c_157,c_195,c_2144,c_2149,c_2150,c_2164,c_2192,c_2259,c_2260,c_2264,c_2408,c_2409,c_2513,c_2661,c_3132,c_3137,c_3351,c_3516,c_3677,c_3679,c_3708,c_4053,c_4232,c_4249,c_5549,c_6596,c_8152,c_11117,c_17533]) ).
tcf(c_20958,plain,
midp(sK0,sK1,sK6),
inference(superposition,[status(thm)],[c_20954,c_106]) ).
tcf(c_21075,plain,
midp(sK0,sK0,sK1),
inference(global_subsumption_just,[status(thm)],[c_20800,c_55,c_146,c_147,c_149,c_153,c_157,c_195,c_2144,c_2149,c_2150,c_2192,c_2259,c_2264,c_2377,c_2408,c_2409,c_2658,c_3677,c_3679,c_3708,c_6596,c_7098,c_8152,c_8958]) ).
tcf(c_21079,plain,
midp(sK0,sK1,sK0),
inference(superposition,[status(thm)],[c_21075,c_106]) ).
tcf(c_21135,plain,
midp(sK0,sK1,sK1),
inference(global_subsumption_just,[status(thm)],[c_20851,c_55,c_146,c_147,c_149,c_153,c_195,c_2149,c_2150,c_2409,c_2513,c_3351,c_3708,c_4050,c_16938]) ).
tcf(c_22305,plain,
! [X0: $i,X1: $i] :
( para(X0,sK0,X1,sK6)
| ~ midp(X0,sK1,X1) ),
inference(superposition,[status(thm)],[c_20958,c_105]) ).
tcf(c_22499,plain,
! [X0: $i] :
( cong(X0,sK5,X0,sK5)
| ~ midp(X0,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_22500,plain,
( cong(sK0,sK5,sK0,sK5)
| ~ midp(sK0,sK5,sK5) ),
inference(instantiation,[status(thm)],[c_22499]) ).
tcf(c_22780,plain,
( midp(sK6,sK0,sK0)
| ~ midp(sK0,sK1,sK1)
| ~ coll(sK6,sK0,sK0) ),
inference(superposition,[status(thm)],[c_21075,c_12442]) ).
tcf(c_22787,plain,
midp(sK6,sK0,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_22780,c_21135,c_4563]) ).
tcf(c_25229,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK6,sK0)
| ~ midp(X0,sK1,X1)
| ~ midp(X2,X0,X1) ),
inference(global_subsumption_just,[status(thm)],[c_20075,c_19921,c_22305]) ).
tcf(c_25230,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,sK6,sK0)
| ~ midp(X1,sK1,X2)
| ~ midp(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_25229]) ).
tcf(c_25240,plain,
( midp(sK6,sK6,sK0)
| ~ midp(sK0,sK1,sK0) ),
inference(superposition,[status(thm)],[c_22787,c_25230]) ).
tcf(c_25256,plain,
midp(sK6,sK6,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_25240,c_21079]) ).
tcf(c_27093,plain,
midp(sK6,sK0,sK6),
inference(superposition,[status(thm)],[c_25256,c_106]) ).
tcf(c_36424,plain,
! [X0: $i,X1: $i] :
( para(X0,sK6,X1,sK6)
| ~ midp(X0,sK0,X1) ),
inference(superposition,[status(thm)],[c_27093,c_105]) ).
tcf(c_36436,plain,
( para(sK0,sK6,sK0,sK6)
| ~ midp(sK0,sK0,sK0) ),
inference(instantiation,[status(thm)],[c_36424]) ).
tcf(c_54795,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK6,sK5,X2,X3)
| ~ eqangle(sK6,sK5,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_118]) ).
tcf(c_54851,plain,
! [X0: $i] :
( cong(X0,sK2,X0,sK2)
| ~ midp(X0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_54852,plain,
( cong(sK0,sK2,sK0,sK2)
| ~ midp(sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_54851]) ).
tcf(c_54904,plain,
! [X0: $i,X1: $i] :
( eqangle(sK2,sK4,sK6,sK5,X0,X1,sK6,sK5)
| ~ para(sK2,sK4,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_54968,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X3,X0,X1,sK6,sK5,sK2,sK4)
| ~ eqangle(X0,X1,X2,X3,sK2,sK4,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_129]) ).
tcf(c_55091,plain,
! [X0: $i] :
( cong(X0,sK4,X0,sK4)
| ~ midp(X0,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_102]) ).
tcf(c_55092,plain,
( cong(sK0,sK4,sK0,sK4)
| ~ midp(sK0,sK4,sK4) ),
inference(instantiation,[status(thm)],[c_55091]) ).
tcf(c_55743,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK2,sK4,X1,X2)
| ~ midp(X0,sK4,X2)
| ~ midp(X0,sK2,X1) ),
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_55979,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK5,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK5,X2,X1)
| ~ para(X0,X1,X2,sK5) ),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_59569,plain,
( eqangle(sK2,sK4,sK6,sK5,sK2,sK4,sK6,sK5)
| ~ para(sK2,sK4,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_54904]) ).
tcf(c_59570,plain,
( eqangle(sK6,sK5,sK2,sK4,sK6,sK5,sK2,sK4)
| ~ eqangle(sK2,sK4,sK6,sK5,sK2,sK4,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_54968]) ).
tcf(c_60584,plain,
! [X0: $i,X1: $i] :
( para(sK6,sK5,X0,X1)
| ~ eqangle(sK6,sK5,sK2,sK4,X0,X1,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_54795]) ).
tcf(c_61484,plain,
! [X0: $i] :
( para(sK2,sK4,sK2,sK4)
| ~ midp(X0,sK4,sK4)
| ~ midp(X0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_55743]) ).
tcf(c_61485,plain,
( para(sK2,sK4,sK2,sK4)
| ~ midp(sK0,sK4,sK4)
| ~ midp(sK0,sK2,sK2) ),
inference(instantiation,[status(thm)],[c_61484]) ).
tcf(c_64455,plain,
( para(sK6,sK5,sK6,sK5)
| ~ eqangle(sK6,sK5,sK2,sK4,sK6,sK5,sK2,sK4) ),
inference(instantiation,[status(thm)],[c_60584]) ).
tcf(c_87866,plain,
! [X0: $i] :
( midp(X0,sK5,sK5)
| ~ midp(X0,sK6,sK6)
| ~ para(sK6,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_55979]) ).
tcf(c_87867,plain,
( midp(sK0,sK5,sK5)
| ~ midp(sK0,sK6,sK6)
| ~ para(sK6,sK5,sK6,sK5) ),
inference(instantiation,[status(thm)],[c_87866]) ).
tcf(c_87868,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_87867,c_64455,c_61485,c_59570,c_59569,c_55092,c_54852,c_36436,c_22500,c_20047,c_20046,c_16938,c_16936,c_15859,c_15729,c_15702,c_8501,c_8469,c_7096,c_7084,c_4050,c_3708,c_3677,c_3351,c_2513,c_2409,c_2408,c_2396,c_2264,c_2150,c_2149,c_2144,c_195,c_157,c_153,c_149,c_147,c_146,c_49,c_55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO552+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 12:21:07 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 32.55/6.35 % SZS status Started for theBenchmark.p
% 32.55/6.35 % SZS status Theorem for theBenchmark.p
% 32.55/6.35
% 32.55/6.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 32.55/6.35
% 32.55/6.35 % ------ iProver source info
% 32.55/6.35
% 32.55/6.35 % git: date: 2026-07-19 20:42:38 +0200
% 32.55/6.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 32.55/6.35 % git: non_committed_changes: false
% 32.55/6.35
% 32.55/6.35 % ------ Parsing...
% 32.55/6.35 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 32.55/6.35
% 32.55/6.35 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 32.55/6.35
% 32.55/6.35 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 32.55/6.35 % ------ Proving...
% 32.55/6.35 % ------ Problem Properties
% 32.55/6.35
% 32.55/6.35 %
% 32.55/6.35 % clauses 94
% 32.55/6.35 % conjectures 7
% 32.55/6.35 % EPR 61
% 32.55/6.35 % Horn 89
% 32.55/6.35 % unary 7
% 32.55/6.35 % binary 24
% 32.55/6.35 % lits 263
% 32.55/6.35 % lits eq 0
% 32.55/6.35 % fd_pure 0
% 32.55/6.35 % fd_pseudo 0
% 32.55/6.35 % fd_cond 0
% 32.55/6.35 % fd_pseudo_cond 0
% 32.55/6.35 % AC symbols 0
% 32.55/6.35
% 32.55/6.35 % ------ Schedule dynamic 5 is on
% 32.55/6.35
% 32.55/6.35 % ------ no equalities: superposition off
% 32.55/6.35
% 32.55/6.35 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.55/6.35
% 32.55/6.35
% 32.55/6.35 % ------
% 32.55/6.35 % Current options:
% 32.55/6.35 % ------
% 32.55/6.35
% 32.55/6.35
% 32.55/6.35 %
% 32.55/6.35
% 32.55/6.35 % ------ Proving...
% 32.55/6.35 %
% 32.55/6.35
% 32.55/6.35 % SZS status Theorem for theBenchmark.p
% 32.55/6.35
% 32.55/6.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.55/6.35
% 32.55/6.35
%------------------------------------------------------------------------------