%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO631+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n014.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 01:21:41 PM UTC 2026
% Result : Theorem 72.59s 15.41s
% Output : CNFRefutation 72.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 24
% Syntax : Number of formulae : 345 ( 53 unt; 0 def)
% Number of atoms : 842 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 897 ( 400 ~; 394 |; 78 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 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 : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 789 ( 0 sgn 763 !; 26 ?; 324 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( coll(X10,X8,X9)
& coll(X10,X6,X7)
& coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X1,X2)
& perp(X8,X5,X1,X2)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X0,X4)
& perp(X6,X5,X0,X4)
& circle(X3,X0,X5,X12)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> cyclic(X5,X7,X10,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110994) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( coll(X10,X8,X9)
& coll(X10,X6,X7)
& coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X1,X2)
& perp(X8,X5,X1,X2)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X0,X4)
& perp(X6,X5,X0,X4)
& circle(X3,X0,X5,X12)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2) )
=> cyclic(X5,X7,X10,X8) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f120]) ).
fof(f124,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(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,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(f127,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,[],[f126]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( coll(X10,X8,X9)
& coll(X10,X6,X7)
& coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X1,X2)
& perp(X8,X5,X1,X2)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X0,X4)
& perp(X6,X5,X0,X4)
& circle(X3,X0,X5,X12)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2)
& ~ cyclic(X5,X7,X10,X8) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( coll(X10,X8,X9)
& coll(X10,X6,X7)
& coll(X9,X2,X4)
& perp(X9,X5,X2,X4)
& coll(X8,X1,X2)
& perp(X8,X5,X1,X2)
& coll(X7,X0,X1)
& perp(X7,X5,X0,X1)
& coll(X6,X0,X4)
& perp(X6,X5,X0,X4)
& circle(X3,X0,X5,X12)
& circle(X3,X0,X4,X11)
& circle(X3,X0,X1,X2)
& ~ cyclic(X5,X7,X10,X8) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK30,sK28,sK29)
& coll(sK30,sK26,sK27)
& coll(sK29,sK22,sK24)
& perp(sK29,sK25,sK22,sK24)
& coll(sK28,sK21,sK22)
& perp(sK28,sK25,sK21,sK22)
& coll(sK27,sK20,sK21)
& perp(sK27,sK25,sK20,sK21)
& coll(sK26,sK20,sK24)
& perp(sK26,sK25,sK20,sK24)
& circle(sK23,sK20,sK25,sK32)
& circle(sK23,sK20,sK24,sK31)
& circle(sK23,sK20,sK21,sK22)
& ~ cyclic(sK25,sK27,sK30,sK28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f116]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f290,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,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,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,[],[f127]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f384,plain,
coll(sK30,sK28,sK29),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
coll(sK30,sK26,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK29,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK28,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK28,sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
perp(sK26,sK25,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
~ cyclic(sK25,sK27,sK30,sK28),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X2,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f283]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
tcf(c_68,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,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_70,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(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_89,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,[],[f311]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_162,negated_conjecture,
~ cyclic(sK25,sK27,sK30,sK28),
inference(cnf_transformation,[],[f397]) ).
tcf(c_166,negated_conjecture,
perp(sK26,sK25,sK20,sK24),
inference(cnf_transformation,[],[f393]) ).
tcf(c_167,negated_conjecture,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f392]) ).
tcf(c_169,negated_conjecture,
coll(sK27,sK20,sK21),
inference(cnf_transformation,[],[f390]) ).
tcf(c_170,negated_conjecture,
perp(sK28,sK25,sK21,sK22),
inference(cnf_transformation,[],[f389]) ).
tcf(c_171,negated_conjecture,
coll(sK28,sK21,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_173,negated_conjecture,
coll(sK29,sK22,sK24),
inference(cnf_transformation,[],[f386]) ).
tcf(c_174,negated_conjecture,
coll(sK30,sK26,sK27),
inference(cnf_transformation,[],[f385]) ).
tcf(c_175,negated_conjecture,
coll(sK30,sK28,sK29),
inference(cnf_transformation,[],[f384]) ).
tcf(c_181,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_185,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_190,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_239,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_277,plain,
( coll(sK26,sK24,sK20)
| ~ coll(sK26,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_278,plain,
( coll(sK27,sK21,sK20)
| ~ coll(sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_283,plain,
( coll(sK20,sK26,sK24)
| ~ coll(sK26,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_299,plain,
( perp(sK20,sK24,sK26,sK25)
| ~ perp(sK26,sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_315,plain,
! [X0: $i] :
( coll(X0,sK27,sK30)
| ~ coll(sK30,sK26,sK27)
| ~ coll(sK30,sK26,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_316,plain,
( coll(sK20,sK27,sK30)
| ~ coll(sK30,sK26,sK20)
| ~ coll(sK30,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_315]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK24)
| ~ perp(sK26,sK25,sK20,sK24)
| ~ perp(X0,X1,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_419,plain,
coll(sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
tcf(c_428,plain,
coll(sK27,sK21,sK20),
inference(superposition,[status(thm)],[c_169,c_49]) ).
tcf(c_439,plain,
coll(sK28,sK22,sK21),
inference(superposition,[status(thm)],[c_171,c_49]) ).
tcf(c_463,plain,
coll(sK30,sK27,sK26),
inference(superposition,[status(thm)],[c_174,c_49]) ).
tcf(c_464,plain,
coll(sK30,sK29,sK28),
inference(superposition,[status(thm)],[c_175,c_49]) ).
tcf(c_483,plain,
coll(sK20,sK26,sK24),
inference(superposition,[status(thm)],[c_167,c_50]) ).
tcf(c_488,plain,
coll(sK28,sK30,sK29),
inference(superposition,[status(thm)],[c_175,c_50]) ).
tcf(c_519,plain,
! [X0: $i] :
( coll(X0,sK20,sK26)
| ~ coll(sK26,sK24,sK20)
| ~ coll(sK26,sK24,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_520,plain,
( coll(sK20,sK20,sK26)
| ~ coll(sK26,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_519]) ).
tcf(c_531,plain,
! [X0: $i] :
( coll(X0,sK20,sK27)
| ~ coll(sK27,sK21,sK20)
| ~ coll(sK27,sK21,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_532,plain,
( coll(sK20,sK20,sK27)
| ~ coll(sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_573,plain,
! [X0: $i] :
( coll(sK24,X0,sK26)
| ~ coll(sK26,sK20,X0) ),
inference(superposition,[status(thm)],[c_167,c_51]) ).
tcf(c_574,plain,
! [X0: $i] :
( coll(sK21,X0,sK27)
| ~ coll(sK27,sK20,X0) ),
inference(superposition,[status(thm)],[c_169,c_51]) ).
tcf(c_576,plain,
! [X0: $i] :
( coll(sK24,X0,sK29)
| ~ coll(sK29,sK22,X0) ),
inference(superposition,[status(thm)],[c_173,c_51]) ).
tcf(c_577,plain,
! [X0: $i] :
( coll(sK27,X0,sK30)
| ~ coll(sK30,sK26,X0) ),
inference(superposition,[status(thm)],[c_174,c_51]) ).
tcf(c_579,plain,
! [X0: $i] :
( coll(sK20,X0,sK26)
| ~ coll(sK26,sK24,X0) ),
inference(superposition,[status(thm)],[c_419,c_51]) ).
tcf(c_580,plain,
! [X0: $i] :
( coll(sK20,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_428,c_51]) ).
tcf(c_581,plain,
! [X0: $i] :
( coll(sK21,X0,sK28)
| ~ coll(sK28,sK22,X0) ),
inference(superposition,[status(thm)],[c_439,c_51]) ).
tcf(c_583,plain,
! [X0: $i] :
( coll(sK26,X0,sK30)
| ~ coll(sK30,sK27,X0) ),
inference(superposition,[status(thm)],[c_463,c_51]) ).
tcf(c_584,plain,
! [X0: $i] :
( coll(sK28,X0,sK30)
| ~ coll(sK30,sK29,X0) ),
inference(superposition,[status(thm)],[c_464,c_51]) ).
tcf(c_585,plain,
! [X0: $i] :
( coll(sK24,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_483,c_51]) ).
tcf(c_604,plain,
( coll(sK26,sK20,sK30)
| ~ coll(sK30,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_583]) ).
tcf(c_673,plain,
! [X0: $i] :
( coll(X0,sK24,sK20)
| ~ coll(sK20,sK26,sK24)
| ~ coll(sK20,sK26,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_701,plain,
perp(sK21,sK22,sK28,sK25),
inference(resolution,[status(thm)],[c_56,c_170]) ).
tcf(c_885,plain,
! [X0: $i] :
( coll(sK29,X0,sK28)
| ~ coll(sK28,sK30,X0) ),
inference(superposition,[status(thm)],[c_488,c_51]) ).
tcf(c_927,plain,
( para(sK20,sK24,sK20,sK24)
| ~ perp(sK26,sK25,sK20,sK24)
| ~ perp(sK20,sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_363]) ).
tcf(c_1364,plain,
coll(sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_167,c_573]) ).
tcf(c_1380,plain,
! [X0: $i] :
( coll(sK26,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_1364,c_51]) ).
tcf(c_1479,plain,
! [X0: $i] :
( coll(X0,sK21,sK27)
| ~ coll(sK27,sK20,X0) ),
inference(resolution,[status(thm)],[c_51,c_169]) ).
tcf(c_1577,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_169,c_574]) ).
tcf(c_1666,plain,
! [X0: $i] :
( coll(sK27,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_1577,c_51]) ).
tcf(c_1699,plain,
coll(sK21,sK21,sK27),
inference(resolution,[status(thm)],[c_1479,c_169]) ).
tcf(c_1724,plain,
! [X0: $i] :
( coll(X0,sK27,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(resolution,[status(thm)],[c_1699,c_51]) ).
tcf(c_1825,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK24,X0,X1,sK20,sK24,X0,X1)
| ~ para(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_1835,plain,
( eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20)
| ~ para(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_1825]) ).
tcf(c_1838,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK20,sK24,sK20,sK24)
| ~ eqangle(X0,X1,X2,X3,sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_1839,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK24,sK20,sK24)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_1838]) ).
tcf(c_1841,plain,
coll(sK24,sK24,sK29),
inference(superposition,[status(thm)],[c_173,c_576]) ).
tcf(c_1848,plain,
! [X0: $i] :
( coll(sK29,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_1841,c_51]) ).
tcf(c_1851,plain,
( coll(sK29,sK20,sK24)
| ~ coll(sK24,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_1848]) ).
tcf(c_1933,plain,
coll(sK27,sK27,sK30),
inference(superposition,[status(thm)],[c_174,c_577]) ).
tcf(c_1934,plain,
! [X0: $i] :
( coll(sK30,X0,sK27)
| ~ coll(sK27,sK27,X0) ),
inference(superposition,[status(thm)],[c_1933,c_51]) ).
tcf(c_1937,plain,
( coll(sK30,sK20,sK27)
| ~ coll(sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_1934]) ).
tcf(c_1981,plain,
! [X0: $i] :
( coll(X0,sK26,sK20)
| ~ coll(X0,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_1982,plain,
( coll(sK20,sK26,sK20)
| ~ coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_1981]) ).
tcf(c_1999,plain,
! [X0: $i] :
( coll(X0,sK27,sK20)
| ~ coll(X0,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2000,plain,
( coll(sK20,sK27,sK20)
| ~ coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_1999]) ).
tcf(c_2006,plain,
( coll(sK27,sK20,sK27)
| ~ coll(sK27,sK21,sK20)
| ~ coll(sK27,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_531]) ).
tcf(c_2053,plain,
( coll(sK24,sK24,sK20)
| ~ coll(sK20,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_673]) ).
tcf(c_2123,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_419,c_579]) ).
tcf(c_2143,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_2123,c_49]) ).
tcf(c_2618,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_2143,c_51]) ).
tcf(c_2621,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_2618]) ).
tcf(c_2673,plain,
coll(sK27,sK27,sK21),
inference(resolution,[status(thm)],[c_1724,c_1699]) ).
tcf(c_2682,plain,
coll(sK27,sK21,sK27),
inference(resolution,[status(thm)],[c_2673,c_49]) ).
tcf(c_3061,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK28,sK25)
| ~ perp(X0,X1,sK21,sK22) ),
inference(resolution,[status(thm)],[c_57,c_701]) ).
tcf(c_3671,plain,
! [X0: $i] :
( coll(sK29,sK24,X0)
| ~ coll(sK29,X0,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_3672,plain,
( coll(sK29,sK24,sK20)
| ~ coll(sK29,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_3671]) ).
tcf(c_3673,plain,
! [X0: $i] :
( coll(sK30,sK27,X0)
| ~ coll(sK30,X0,sK27) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_3674,plain,
( coll(sK30,sK27,sK20)
| ~ coll(sK30,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_3673]) ).
tcf(c_3681,plain,
! [X0: $i] :
( coll(sK26,sK30,X0)
| ~ coll(sK26,X0,sK30) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_3682,plain,
( coll(sK26,sK30,sK20)
| ~ coll(sK26,sK20,sK30) ),
inference(instantiation,[status(thm)],[c_3681]) ).
tcf(c_3726,plain,
! [X0: $i] :
( coll(sK30,sK26,X0)
| ~ coll(sK26,sK30,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_3727,plain,
( coll(sK30,sK26,sK20)
| ~ coll(sK26,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_3726]) ).
tcf(c_3770,plain,
! [X0: $i] :
( coll(sK27,sK27,X0)
| ~ coll(sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_3771,plain,
( coll(sK27,sK27,sK20)
| ~ coll(sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_3770]) ).
tcf(c_3968,plain,
! [X0: $i,X1: $i] :
( coll(sK29,sK29,X0)
| ~ coll(X0,X1,sK29) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_3969,plain,
( coll(sK29,sK29,sK20)
| ~ coll(sK20,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_3968]) ).
tcf(c_4073,plain,
para(sK28,sK25,sK28,sK25),
inference(resolution,[status(thm)],[c_3061,c_170]) ).
tcf(c_5473,plain,
! [X0: $i] :
( coll(sK28,sK29,X0)
| ~ coll(sK28,X0,sK29) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_5474,plain,
( coll(sK28,sK29,sK20)
| ~ coll(sK28,sK20,sK29) ),
inference(instantiation,[status(thm)],[c_5473]) ).
tcf(c_5657,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK24,sK20,sK24,X0,X1,X0,X1)
| ~ eqangle(sK20,sK24,X0,X1,sK20,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_5664,plain,
( eqangle(sK20,sK24,sK20,sK24,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5657]) ).
tcf(c_5788,plain,
coll(sK21,sK21,sK28),
inference(superposition,[status(thm)],[c_439,c_581]) ).
tcf(c_6254,plain,
coll(sK28,sK28,sK30),
inference(superposition,[status(thm)],[c_464,c_584]) ).
tcf(c_6258,plain,
coll(sK28,sK30,sK28),
inference(superposition,[status(thm)],[c_6254,c_49]) ).
tcf(c_8365,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[c_91,c_88]) ).
tcf(c_8366,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8365]) ).
tcf(c_9094,plain,
coll(sK29,sK29,sK28),
inference(superposition,[status(thm)],[c_488,c_885]) ).
tcf(c_9095,plain,
coll(sK29,sK28,sK28),
inference(superposition,[status(thm)],[c_6258,c_885]) ).
tcf(c_9100,plain,
! [X0: $i] :
( coll(sK28,X0,sK29)
| ~ coll(sK29,sK29,X0) ),
inference(superposition,[status(thm)],[c_9094,c_51]) ).
tcf(c_9103,plain,
( coll(sK28,sK20,sK29)
| ~ coll(sK29,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_9100]) ).
tcf(c_9109,plain,
coll(sK28,sK29,sK28),
inference(superposition,[status(thm)],[c_9095,c_50]) ).
tcf(c_9161,plain,
! [X0: $i] :
( coll(sK28,X0,sK28)
| ~ coll(sK28,sK29,X0) ),
inference(superposition,[status(thm)],[c_9109,c_51]) ).
tcf(c_9164,plain,
( coll(sK28,sK20,sK28)
| ~ coll(sK28,sK29,sK20) ),
inference(instantiation,[status(thm)],[c_9161]) ).
tcf(c_9224,plain,
coll(sK26,sK29,sK24),
inference(superposition,[status(thm)],[c_1841,c_1380]) ).
tcf(c_9271,plain,
coll(sK26,sK24,sK29),
inference(superposition,[status(thm)],[c_9224,c_49]) ).
tcf(c_9420,plain,
coll(sK20,sK29,sK26),
inference(superposition,[status(thm)],[c_9271,c_579]) ).
tcf(c_9620,plain,
coll(sK20,sK26,sK29),
inference(superposition,[status(thm)],[c_9420,c_49]) ).
tcf(c_10662,plain,
coll(sK24,sK29,sK20),
inference(superposition,[status(thm)],[c_9620,c_585]) ).
tcf(c_10689,plain,
coll(sK29,sK24,sK20),
inference(superposition,[status(thm)],[c_10662,c_50]) ).
tcf(c_10851,plain,
! [X0: $i] :
( coll(sK20,X0,sK29)
| ~ coll(sK29,sK24,X0) ),
inference(superposition,[status(thm)],[c_10689,c_51]) ).
tcf(c_10855,plain,
( coll(sK20,sK20,sK29)
| ~ coll(sK29,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_10851]) ).
tcf(c_11014,plain,
! [X0: $i] :
( coll(sK30,sK20,sK20)
| ~ coll(sK20,X0,sK20)
| ~ coll(sK20,X0,sK30) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_13990,plain,
coll(sK27,sK28,sK21),
inference(superposition,[status(thm)],[c_5788,c_1666]) ).
tcf(c_14042,plain,
coll(sK27,sK21,sK28),
inference(superposition,[status(thm)],[c_13990,c_49]) ).
tcf(c_14214,plain,
coll(sK20,sK28,sK27),
inference(superposition,[status(thm)],[c_14042,c_580]) ).
tcf(c_14222,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK28,X1)
| ~ coll(sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_14223,plain,
( coll(sK20,sK28,sK20)
| ~ coll(sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_14222]) ).
tcf(c_14272,plain,
coll(sK20,sK27,sK28),
inference(superposition,[status(thm)],[c_14214,c_49]) ).
tcf(c_15091,plain,
! [X0: $i] :
( coll(sK28,X0,sK20)
| ~ coll(sK20,sK27,X0) ),
inference(superposition,[status(thm)],[c_14272,c_51]) ).
tcf(c_15095,plain,
( coll(sK28,sK20,sK20)
| ~ coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_15091]) ).
tcf(c_16960,plain,
! [X0: $i,X1: $i] :
( coll(sK20,X1,sK30)
| ~ coll(sK30,X0,sK20)
| ~ coll(sK30,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_16961,plain,
( coll(sK20,sK20,sK30)
| ~ coll(sK30,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16960]) ).
tcf(c_16964,plain,
( coll(sK30,sK20,sK20)
| ~ coll(sK20,sK27,sK20)
| ~ coll(sK20,sK27,sK30) ),
inference(instantiation,[status(thm)],[c_11014]) ).
tcf(c_20727,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK20,sK24,sK20,sK24)
| ~ eqangle(sK20,sK24,sK20,sK24,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_20728,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK24,sK20,sK24)
| ~ eqangle(sK20,sK24,sK20,sK24,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20727]) ).
tcf(c_22380,plain,
( cyclic(sK25,sK27,sK30,sK28)
| ~ cyclic(sK25,sK27,sK28,sK30) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_26343,plain,
( cyclic(sK25,sK27,sK28,sK30)
| ~ cyclic(sK25,sK28,sK27,sK30) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_35774,plain,
! [X0: $i] :
( cyclic(sK25,sK28,sK27,sK30)
| ~ cyclic(X0,sK25,sK28,sK30)
| ~ cyclic(X0,sK25,sK28,sK27) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_36045,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK25,sK28,sK27)
| ~ cyclic(X0,X1,sK25,sK28)
| ~ cyclic(X0,X1,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_36125,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK25,sK28)
| ~ cyclic(X0,sK25,X1,sK28) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_36128,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,X0,sK25,sK28)
| ~ cyclic(X0,X1,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_36279,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X2,X1,sK28)
| ~ cyclic(X0,X1,X2,sK28) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_36280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X3,X2,sK28)
| ~ cong(X0,X1,X0,sK28)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_61]) ).
tcf(c_36286,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,sK28)
| ~ coll(X0,sK28,X2)
| ~ eqangle(X0,X1,X0,X2,sK28,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_36287,plain,
( cyclic(sK20,sK20,sK20,sK28)
| ~ coll(sK20,sK28,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_36286]) ).
tcf(c_36376,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cong(X1,X2,X4,sK28)
| ~ cyclic(X1,X2,X0,sK28)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,sK28) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_37565,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK28,sK25,sK27)
| ~ cyclic(X0,X1,sK28,sK27)
| ~ cyclic(X0,X1,sK28,sK25) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_37566,plain,
( cyclic(sK20,sK28,sK25,sK27)
| ~ cyclic(sK20,sK20,sK28,sK27)
| ~ cyclic(sK20,sK20,sK28,sK25) ),
inference(instantiation,[status(thm)],[c_37565]) ).
tcf(c_38083,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK28,sK25)
| ~ cyclic(X0,sK28,X1,sK25) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_38084,plain,
( cyclic(sK20,sK20,sK28,sK25)
| ~ cyclic(sK20,sK28,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_38083]) ).
tcf(c_38087,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK28,sK25)
| ~ cyclic(X0,X1,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_38547,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK28,X2)
| ~ cyclic(X0,X1,X2,sK28) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_38550,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,sK28,X3)
| ~ cyclic(X0,X1,X2,sK28)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_38551,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK28,X2)
| ~ coll(sK28,X2,X1)
| ~ eqangle(sK28,X0,sK28,X1,X2,X0,X2,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_38552,plain,
( cyclic(sK20,sK20,sK28,sK20)
| ~ coll(sK28,sK20,sK20)
| ~ eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_38551]) ).
tcf(c_38572,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK30)
| ~ cyclic(X0,X1,sK30,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_38573,plain,
( cyclic(sK20,sK20,sK20,sK30)
| ~ cyclic(sK20,sK20,sK30,sK20) ),
inference(instantiation,[status(thm)],[c_38572]) ).
tcf(c_38633,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK28,X0,X1)
| ~ midp(X0,sK28,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_38634,plain,
( cong(sK20,sK28,sK20,sK20)
| ~ midp(sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_38633]) ).
tcf(c_38729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X1,X4,sK28)
| ~ perp(X2,X3,X4,sK28)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_38730,plain,
( para(sK20,sK20,sK20,sK28)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_38729]) ).
tcf(c_39202,plain,
! [X0: $i] :
( cyclic(sK25,X0,sK28,sK28)
| ~ coll(sK28,sK28,X0) ),
inference(resolution,[status(thm)],[c_8365,c_4073]) ).
tcf(c_39613,plain,
! [X0: $i] :
( cyclic(X0,sK25,sK28,sK28)
| ~ coll(sK28,sK28,X0) ),
inference(resolution,[status(thm)],[c_39202,c_64]) ).
tcf(c_39614,plain,
( cyclic(sK20,sK25,sK28,sK28)
| ~ coll(sK28,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_39613]) ).
tcf(c_39686,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,X2,sK28,X1,sK28,X2)
| ~ eqangle(X0,X1,sK28,X1,X0,X2,sK28,X2) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_39687,plain,
( eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK20)
| ~ eqangle(sK20,sK20,sK28,sK20,sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_39686]) ).
tcf(c_39688,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( eqangle(X0,X1,X0,X2,sK28,X1,sK28,X2)
| ~ eqangle(X3,X4,X5,X6,sK28,X1,sK28,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X5,X6) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_39689,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK28,sK28)
| ~ coll(sK28,sK28,X1)
| ~ eqangle(sK28,X0,sK28,X1,sK28,X0,sK28,X1) ),
inference(instantiation,[status(thm)],[c_36286]) ).
tcf(c_39691,plain,
( cyclic(sK20,sK20,sK28,sK28)
| ~ coll(sK28,sK28,sK20)
| ~ eqangle(sK28,sK20,sK28,sK20,sK28,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_39689]) ).
tcf(c_39693,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X2,X0,X2,X1,sK28,X0,sK28,X1)
| ~ cyclic(X0,X1,X2,sK28) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_40270,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK28,X2,sK25)
| ~ cyclic(X0,X1,sK28,sK25)
| ~ cyclic(X0,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_40333,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK30,X2)
| ~ cyclic(X0,sK30,X1,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_40334,plain,
( cyclic(sK20,sK20,sK30,sK20)
| ~ cyclic(sK20,sK30,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40333]) ).
tcf(c_40360,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK30,X0,X2)
| ~ coll(X0,X2,sK30)
| ~ eqangle(X0,X1,X0,sK30,X2,X1,X2,sK30) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_40361,plain,
( cyclic(sK20,sK30,sK20,sK20)
| ~ coll(sK20,sK20,sK30)
| ~ eqangle(sK20,sK20,sK20,sK30,sK20,sK20,sK20,sK30) ),
inference(instantiation,[status(thm)],[c_40360]) ).
tcf(c_40386,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK27,X2)
| ~ cyclic(X0,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_40387,plain,
( cyclic(sK20,sK20,sK27,sK20)
| ~ cyclic(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40386]) ).
tcf(c_42601,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK28,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK28,X2,X1)
| ~ para(X0,X1,X2,sK28) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_42602,plain,
( midp(sK20,sK28,sK20)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK28)
| ~ para(sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_42601]) ).
tcf(c_44411,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,sK28,X1,X2)
| ~ cyclic(X0,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_44412,plain,
( cyclic(sK20,sK28,sK20,sK20)
| ~ cyclic(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_44411]) ).
tcf(c_46074,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,sK28,X0,X1)
| ~ para(X0,X1,X2,sK28) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_46075,plain,
( para(sK20,sK28,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_46074]) ).
tcf(c_46724,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,sK27,X0,X2)
| ~ coll(X0,X2,sK27)
| ~ eqangle(X0,X1,X0,sK27,X2,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_46725,plain,
( cyclic(sK20,sK27,sK20,sK20)
| ~ coll(sK20,sK20,sK27)
| ~ eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_46724]) ).
tcf(c_46731,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK27)
| ~ cyclic(X0,X1,sK27,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_46732,plain,
( cyclic(sK20,sK20,sK20,sK27)
| ~ cyclic(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_46731]) ).
tcf(c_50382,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X2,X1,sK28)
| ~ cong(X0,sK28,X2,sK28)
| ~ cong(X0,X1,X2,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_50383,plain,
( perp(sK20,sK20,sK20,sK28)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK28,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_50382]) ).
tcf(c_50921,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(sK28,X1,sK28,X2,X0,X1,X0,X2)
| ~ eqangle(X0,X1,X0,X2,sK28,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_50922,plain,
( eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_50921]) ).
tcf(c_51166,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK30,X0,X1,X0,sK30)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_51167,plain,
( eqangle(sK20,sK20,sK20,sK30,sK20,sK20,sK20,sK30)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_51166]) ).
tcf(c_51558,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK28,X1,X0,X2)
| ~ cyclic(sK28,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_51564,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(sK28,X1,X2,X3)
| ~ cyclic(X0,sK28,X1,X3)
| ~ cyclic(X0,sK28,X1,X2) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_52150,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK28,X1,X0,X1,sK28,X1)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_52151,plain,
( eqangle(sK20,sK20,sK28,sK20,sK20,sK20,sK28,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_52150]) ).
tcf(c_54780,plain,
! [X0: $i] :
( cyclic(X0,sK28,sK25,sK28)
| ~ cyclic(X0,sK25,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_36125]) ).
tcf(c_54782,plain,
( cyclic(sK20,sK28,sK25,sK28)
| ~ cyclic(sK20,sK25,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_54780]) ).
tcf(c_55857,plain,
! [X0: $i,X1: $i] :
( eqangle(X1,X0,X1,sK28,sK28,X0,sK28,sK28)
| ~ cyclic(X0,sK28,X1,sK28) ),
inference(instantiation,[status(thm)],[c_39693]) ).
tcf(c_55858,plain,
! [X0: $i,X1: $i] :
( cong(X1,sK28,X1,sK28)
| ~ cyclic(X1,sK28,X0,sK28)
| ~ cyclic(X1,sK28,X0,X1)
| ~ eqangle(X0,X1,X0,sK28,sK28,X1,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_36376]) ).
tcf(c_55859,plain,
( eqangle(sK20,sK20,sK20,sK28,sK28,sK20,sK28,sK28)
| ~ cyclic(sK20,sK28,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_55857]) ).
tcf(c_55860,plain,
( cong(sK20,sK28,sK20,sK28)
| ~ cyclic(sK20,sK28,sK20,sK20)
| ~ cyclic(sK20,sK28,sK20,sK28)
| ~ eqangle(sK20,sK20,sK20,sK28,sK28,sK20,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_55858]) ).
tcf(c_55963,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK28,sK27)
| ~ cyclic(X0,X1,X2,sK28)
| ~ cyclic(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_38550]) ).
tcf(c_55964,plain,
( cyclic(sK20,sK20,sK28,sK27)
| ~ cyclic(sK20,sK20,sK20,sK28)
| ~ cyclic(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_55963]) ).
tcf(c_57213,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK28,X4,sK28,X5,sK28,X4,sK28,X5)
| ~ eqangle(sK28,X4,sK28,X5,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK28,X4,sK28,X5) ),
inference(instantiation,[status(thm)],[c_39688]) ).
tcf(c_57214,plain,
( eqangle(sK28,sK20,sK28,sK20,sK28,sK20,sK28,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK20)
| ~ eqangle(sK28,sK20,sK28,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_57213]) ).
tcf(c_59993,plain,
! [X0: $i] :
( coll(sK28,sK28,X0)
| ~ coll(sK28,X0,sK28) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_59994,plain,
( coll(sK28,sK28,sK20)
| ~ coll(sK28,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_59993]) ).
tcf(c_62118,plain,
! [X0: $i] :
( cyclic(X0,sK28,sK28,sK25)
| ~ cyclic(X0,sK28,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_38087]) ).
tcf(c_62119,plain,
! [X0: $i] :
( cyclic(sK28,sK25,sK28,sK27)
| ~ cyclic(X0,sK28,sK25,sK28)
| ~ cyclic(X0,sK28,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_36045]) ).
tcf(c_62121,plain,
! [X0: $i] :
( cyclic(sK28,X0,sK25,sK28)
| ~ cyclic(X0,sK28,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_36128]) ).
tcf(c_62124,plain,
( cyclic(sK28,sK20,sK25,sK28)
| ~ cyclic(sK20,sK28,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_62121]) ).
tcf(c_62126,plain,
( cyclic(sK28,sK25,sK28,sK27)
| ~ cyclic(sK20,sK28,sK25,sK28)
| ~ cyclic(sK20,sK28,sK25,sK27) ),
inference(instantiation,[status(thm)],[c_62119]) ).
tcf(c_62127,plain,
( cyclic(sK20,sK28,sK28,sK25)
| ~ cyclic(sK20,sK28,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_62118]) ).
tcf(c_63314,plain,
! [X0: $i] :
( cyclic(sK28,X0,sK28,sK25)
| ~ cyclic(sK28,X0,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_38087]) ).
tcf(c_63324,plain,
( cyclic(sK28,sK20,sK28,sK25)
| ~ cyclic(sK28,sK20,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_63314]) ).
tcf(c_63329,plain,
( cyclic(sK28,sK25,sK28,sK30)
| ~ cyclic(sK28,sK28,sK25,sK30) ),
inference(instantiation,[status(thm)],[c_51558]) ).
tcf(c_63332,plain,
( cyclic(sK25,sK28,sK27,sK30)
| ~ cyclic(sK28,sK25,sK28,sK30)
| ~ cyclic(sK28,sK25,sK28,sK27) ),
inference(instantiation,[status(thm)],[c_35774]) ).
tcf(c_63362,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK28,X1,sK25)
| ~ cyclic(sK28,X0,sK28,sK25)
| ~ cyclic(sK28,X0,sK28,X1) ),
inference(instantiation,[status(thm)],[c_40270]) ).
tcf(c_63370,plain,
( cyclic(sK20,sK28,sK20,sK25)
| ~ cyclic(sK28,sK20,sK28,sK20)
| ~ cyclic(sK28,sK20,sK28,sK25) ),
inference(instantiation,[status(thm)],[c_63362]) ).
tcf(c_64199,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK28,X1,sK28)
| ~ cyclic(X0,X1,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_36279]) ).
tcf(c_64200,plain,
( cyclic(sK20,sK28,sK20,sK28)
| ~ cyclic(sK20,sK20,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_64199]) ).
tcf(c_72131,plain,
! [X0: $i] :
( cyclic(sK28,sK28,sK25,sK30)
| ~ cyclic(X0,sK28,sK28,sK30)
| ~ cyclic(X0,sK28,sK28,sK25) ),
inference(instantiation,[status(thm)],[c_51564]) ).
tcf(c_72132,plain,
( cyclic(sK28,sK28,sK25,sK30)
| ~ cyclic(sK20,sK28,sK28,sK30)
| ~ cyclic(sK20,sK28,sK28,sK25) ),
inference(instantiation,[status(thm)],[c_72131]) ).
tcf(c_73568,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK28,sK28,sK30)
| ~ cyclic(X0,X1,sK28,sK28)
| ~ cyclic(X0,X1,sK28,sK30) ),
inference(instantiation,[status(thm)],[c_38550]) ).
tcf(c_73569,plain,
( cyclic(sK20,sK28,sK28,sK30)
| ~ cyclic(sK20,sK20,sK28,sK28)
| ~ cyclic(sK20,sK20,sK28,sK30) ),
inference(instantiation,[status(thm)],[c_73568]) ).
tcf(c_75323,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK28,X2,X1,sK28)
| ~ cong(X0,sK28,X0,sK28)
| ~ cong(X0,sK28,X0,X2)
| ~ cong(X0,sK28,X0,X1) ),
inference(instantiation,[status(thm)],[c_36280]) ).
tcf(c_75324,plain,
( cyclic(sK28,sK20,sK20,sK28)
| ~ cong(sK20,sK28,sK20,sK20)
| ~ cong(sK20,sK28,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_75323]) ).
tcf(c_77057,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK28,sK30)
| ~ cyclic(X0,X1,X2,sK28)
| ~ cyclic(X0,X1,X2,sK30) ),
inference(instantiation,[status(thm)],[c_38550]) ).
tcf(c_77058,plain,
( cyclic(sK20,sK20,sK28,sK30)
| ~ cyclic(sK20,sK20,sK20,sK28)
| ~ cyclic(sK20,sK20,sK20,sK30) ),
inference(instantiation,[status(thm)],[c_77057]) ).
tcf(c_87286,plain,
! [X0: $i,X1: $i] :
( cyclic(sK28,X0,sK28,X1)
| ~ cyclic(sK28,X0,X1,sK28) ),
inference(instantiation,[status(thm)],[c_38547]) ).
tcf(c_87289,plain,
( cyclic(sK28,sK20,sK28,sK20)
| ~ cyclic(sK28,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_87286]) ).
tcf(c_103953,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,sK27,X0,X2,X0,sK27)
| ~ para(X0,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_103955,plain,
( eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_103953]) ).
tcf(c_103956,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_103955,c_87289,c_77058,c_75324,c_73569,c_72132,c_64200,c_63370,c_63332,c_63329,c_63324,c_62127,c_62126,c_62124,c_59994,c_57214,c_55964,c_55860,c_55859,c_54782,c_52151,c_51167,c_50922,c_50383,c_46732,c_46725,c_46075,c_44412,c_42602,c_40387,c_40361,c_40334,c_39691,c_39687,c_39614,c_38730,c_38634,c_38573,c_38552,c_38084,c_37566,c_36287,c_26343,c_22380,c_20728,c_16964,c_16961,c_15095,c_14223,c_10855,c_9164,c_9103,c_8366,c_5664,c_5474,c_3969,c_3771,c_3727,c_3682,c_3674,c_3672,c_2682,c_2621,c_2053,c_2006,c_2000,c_1982,c_1937,c_1851,c_1839,c_1835,c_927,c_604,c_532,c_520,c_316,c_299,c_283,c_278,c_277,c_239,c_190,c_185,c_181,c_162,c_166,c_167,c_169,c_174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO631+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 12:36:21 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 72.59/15.41 % SZS status Started for theBenchmark.p
% 72.59/15.41 % SZS status Theorem for theBenchmark.p
% 72.59/15.41
% 72.59/15.41 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 72.59/15.41
% 72.59/15.41 % ------ iProver source info
% 72.59/15.41
% 72.59/15.41 % git: date: 2026-07-19 20:42:38 +0200
% 72.59/15.41 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 72.59/15.41 % git: non_committed_changes: false
% 72.59/15.41
% 72.59/15.41 % ------ Parsing...
% 72.59/15.41 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 72.59/15.41
% 72.59/15.41 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 72.59/15.41
% 72.59/15.41 % ------ Preprocessing...%
% 72.59/15.41
% 72.59/15.41 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 72.59/15.41 % ------ Proving...
% 72.59/15.41 % ------ Problem Properties
% 72.59/15.41
% 72.59/15.41 %
% 72.59/15.41 % clauses 126
% 72.59/15.41 % conjectures 14
% 72.59/15.41 % EPR 89
% 72.59/15.41 % Horn 116
% 72.59/15.41 % unary 14
% 72.59/15.41 % binary 37
% 72.59/15.41 % lits 342
% 72.59/15.41 % lits eq 4
% 72.59/15.41 % fd_pure 0
% 72.59/15.41 % fd_pseudo 0
% 72.59/15.41 % fd_cond 0
% 72.59/15.41 % fd_pseudo_cond 4
% 72.59/15.41 % AC symbols 0
% 72.59/15.41
% 72.59/15.41 % ------ Input Options Time Limit: Unbounded
% 72.59/15.41
% 72.59/15.41
% 72.59/15.41 % ------
% 72.59/15.41 % Current options:
% 72.59/15.41 % ------
% 72.59/15.41
% 72.59/15.41
% 72.59/15.41 %
% 72.59/15.41
% 72.59/15.41 % ------ Proving...
% 72.59/15.41 %
% 72.59/15.41
% 72.59/15.41 % SZS status Theorem for theBenchmark.p
% 72.59/15.41
% 72.59/15.41 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 72.59/15.41
% 72.59/15.41
%------------------------------------------------------------------------------