%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO546+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 : n011.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 01:21:26 PM UTC 2026
% Result : Theorem 38.44s 26.70s
% Output : CNFRefutation 40.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 217 ( 14 unt; 0 def)
% Number of atoms : 564 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 635 ( 288 ~; 282 |; 41 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 675 ( 0 sgn 663 !; 12 ?; 236 :)
% 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(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(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
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(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(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(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) )
=> perp(X1,X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012006) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1) )
=> perp(X1,X5,X0,X2) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f123,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(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(f148,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(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(flattening,[],[f155]) ).
fof(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] :
( coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& ~ perp(X1,X5,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( coll(X5,X0,X4)
& coll(X5,X2,X3)
& coll(X4,X1,X2)
& perp(X4,X0,X1,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& ~ perp(X1,X5,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK25,sK20,sK24)
& coll(sK25,sK22,sK23)
& coll(sK24,sK21,sK22)
& perp(sK24,sK20,sK21,sK22)
& coll(sK23,sK20,sK21)
& perp(sK23,sK22,sK20,sK21)
& ~ perp(sK21,sK25,sK20,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f289,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,[],[f123]) ).
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(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(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(f387,plain,
perp(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK23,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ perp(sK21,sK25,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_67,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,[],[f289]) ).
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_87,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,[],[f309]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_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,
~ perp(sK21,sK25,sK20,sK22),
inference(cnf_transformation,[],[f390]) ).
tcf(c_163,negated_conjecture,
perp(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f389]) ).
tcf(c_164,negated_conjecture,
coll(sK23,sK20,sK21),
inference(cnf_transformation,[],[f388]) ).
tcf(c_165,negated_conjecture,
perp(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f387]) ).
tcf(c_174,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_178,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_183,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_199,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_232,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_4465,plain,
( coll(sK23,sK21,sK20)
| ~ coll(sK23,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_4469,plain,
( coll(sK20,sK23,sK21)
| ~ coll(sK23,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_4475,plain,
( perp(sK20,sK21,sK23,sK22)
| ~ perp(sK23,sK22,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_4476,plain,
( perp(sK21,sK22,sK24,sK20)
| ~ perp(sK24,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_4551,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK20,sK21)
| ~ perp(sK23,sK22,sK20,sK21)
| ~ perp(X0,X1,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_4552,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK21,sK22)
| ~ perp(sK24,sK20,sK21,sK22)
| ~ perp(X0,X1,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_4569,plain,
! [X0: $i] :
( coll(X0,sK20,sK23)
| ~ coll(sK23,sK21,sK20)
| ~ coll(sK23,sK21,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_4570,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_4569]) ).
tcf(c_4593,plain,
! [X0: $i] :
( coll(X0,sK21,sK20)
| ~ coll(sK20,sK23,sK21)
| ~ coll(sK20,sK23,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_4594,plain,
( coll(sK20,sK21,sK20)
| ~ coll(sK20,sK23,sK20)
| ~ coll(sK20,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_4593]) ).
tcf(c_4636,plain,
( perp(sK20,sK21,sK22,sK23)
| ~ perp(sK20,sK21,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_4637,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK23,sK22)
| ~ perp(sK20,sK21,sK23,sK22)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_4638,plain,
( para(sK20,sK20,sK23,sK22)
| ~ perp(sK20,sK20,sK20,sK21)
| ~ perp(sK20,sK21,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_4637]) ).
tcf(c_4659,plain,
( para(sK20,sK21,sK20,sK21)
| ~ perp(sK23,sK22,sK20,sK21)
| ~ perp(sK20,sK21,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_4551]) ).
tcf(c_4660,plain,
( para(sK21,sK22,sK21,sK22)
| ~ perp(sK24,sK20,sK21,sK22)
| ~ perp(sK21,sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_4552]) ).
tcf(c_4819,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK22,sK23)
| ~ perp(sK20,sK21,sK22,sK23)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_4820,plain,
( para(sK20,sK20,sK22,sK23)
| ~ perp(sK20,sK20,sK20,sK21)
| ~ perp(sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_4819]) ).
tcf(c_4837,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_4847,plain,
( eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_4837]) ).
tcf(c_4850,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK20,sK21,sK20,sK21)
| ~ eqangle(X0,X1,X2,X3,sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_4851,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_4850]) ).
tcf(c_4871,plain,
! [X0: $i] :
( coll(X0,sK23,sK20)
| ~ coll(X0,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_4872,plain,
( coll(sK20,sK23,sK20)
| ~ coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_4871]) ).
tcf(c_4896,plain,
( para(sK23,sK22,sK23,sK22)
| ~ perp(sK23,sK22,sK20,sK21)
| ~ perp(sK20,sK21,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_4637]) ).
tcf(c_5060,plain,
( para(sK23,sK22,sK22,sK23)
| ~ para(sK23,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_5232,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK20,X0)
| ~ coll(X0,sK21,sK20)
| ~ coll(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_5233,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_5232]) ).
tcf(c_5717,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,sK20,sK21,X0,X1,X0,X1)
| ~ eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_5724,plain,
( eqangle(sK20,sK21,sK20,sK21,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK20,sK20,sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5717]) ).
tcf(c_7013,plain,
! [X0: $i,X1: $i] :
( perp(sK23,sK22,X0,X1)
| ~ para(sK23,sK22,sK22,sK23)
| ~ perp(sK22,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_7853,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK20,sK21,sK20,sK21)
| ~ eqangle(sK20,sK21,sK20,sK21,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_7859,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK20,sK21)
| ~ eqangle(sK20,sK21,sK20,sK21,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7853]) ).
tcf(c_8083,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X0,X1,sK23,sK22)
| ~ perp(X2,sK21,sK23,sK22)
| ~ perp(X0,X1,X2,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_8434,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK22,sK23,X2,X3)
| ~ para(sK22,sK23,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_8628,plain,
( perp(sK21,sK25,sK20,sK22)
| ~ perp(sK20,sK22,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_8637,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ perp(sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_8771,plain,
perp(sK20,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_163,c_56]) ).
tcf(c_8938,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ cong(X0,sK20,X1,sK20)
| ~ cong(X0,sK21,X1,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_8939,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_8938]) ).
tcf(c_9743,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_8771,c_57]) ).
tcf(c_9754,plain,
( para(sK20,sK21,sK20,sK20)
| ~ perp(sK23,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9743]) ).
tcf(c_10128,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK23,sK22,X2,X3)
| ~ para(sK23,sK22,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_10129,plain,
( perp(sK23,sK22,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ para(sK23,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10128]) ).
tcf(c_11445,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,sK21,sK25)
| ~ perp(X0,X1,sK21,sK25)
| ~ para(sK20,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_11478,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK22)
| ~ cong(X0,sK22,X1,sK22)
| ~ cong(X0,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_11479,plain,
( perp(sK20,sK20,sK20,sK22)
| ~ cong(sK20,sK22,sK20,sK22)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11478]) ).
tcf(c_11486,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,sK20,sK22)
| ~ perp(X2,X3,sK20,sK22)
| ~ para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_11514,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK21,sK25,sK20,sK22,X2,X3,X0,X1)
| ~ eqangle(sK20,sK22,sK21,sK25,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_12080,plain,
perp(sK20,sK21,sK23,sK22),
inference(superposition,[status(thm)],[c_163,c_56]) ).
tcf(c_12081,plain,
perp(sK21,sK22,sK24,sK20),
inference(superposition,[status(thm)],[c_165,c_56]) ).
tcf(c_12196,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_12080,c_57]) ).
tcf(c_12197,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK22,X0,X1)
| ~ perp(sK24,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_12081,c_57]) ).
tcf(c_12453,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_163,c_12196]) ).
tcf(c_12607,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_165,c_12197]) ).
tcf(c_13801,plain,
! [X0: $i,X1: $i] :
( para(sK23,sK22,X0,X1)
| ~ para(X0,X1,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_13802,plain,
( para(sK23,sK22,sK20,sK20)
| ~ para(sK20,sK20,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_13801]) ).
tcf(c_14623,plain,
! [X0: $i] :
( cong(X0,sK21,X0,sK21)
| ~ midp(X0,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_14624,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_14623]) ).
tcf(c_14644,plain,
! [X0: $i] :
( cong(X0,sK22,X0,sK22)
| ~ midp(X0,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_14645,plain,
( cong(sK20,sK22,sK20,sK22)
| ~ midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_14644]) ).
tcf(c_15261,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ para(X0,X1,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_15262,plain,
( para(sK22,sK23,sK20,sK20)
| ~ para(sK20,sK20,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_15261]) ).
tcf(c_15677,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_12453,c_113]) ).
tcf(c_15678,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_12607,c_113]) ).
tcf(c_15700,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK20,sK21,sK21)
| ~ para(sK21,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_15678]) ).
tcf(c_15701,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_15677]) ).
tcf(c_16250,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK21,sK25)
| ~ cong(X0,sK25,X1,sK25)
| ~ cong(X0,sK21,X1,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_16251,plain,
( perp(sK20,sK20,sK21,sK25)
| ~ cong(sK20,sK25,sK20,sK25)
| ~ cong(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_16250]) ).
tcf(c_16272,plain,
( perp(sK20,sK22,sK21,sK25)
| ~ perp(sK23,sK22,sK21,sK25)
| ~ para(sK20,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_11445]) ).
tcf(c_16345,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X0,X1)
| ~ perp(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_16346,plain,
( perp(sK20,sK22,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_16345]) ).
tcf(c_16986,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK23,sK21,sK25)
| ~ perp(X0,X1,sK21,sK25)
| ~ para(sK22,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_8434]) ).
tcf(c_16987,plain,
( perp(sK22,sK23,sK21,sK25)
| ~ perp(sK20,sK20,sK21,sK25)
| ~ para(sK22,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16986]) ).
tcf(c_17117,plain,
( perp(sK23,sK22,sK21,sK25)
| ~ perp(sK22,sK23,sK21,sK25)
| ~ para(sK23,sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_7013]) ).
tcf(c_17296,plain,
( perp(sK20,sK22,sK20,sK21)
| ~ perp(sK20,sK21,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_8637]) ).
tcf(c_17547,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK25,sK20,sK22,sK21,sK25,X0,X1)
| ~ eqangle(sK20,sK22,sK21,sK25,X0,X1,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_11514]) ).
tcf(c_17548,plain,
( eqangle(sK21,sK25,sK20,sK22,sK21,sK25,sK20,sK20)
| ~ eqangle(sK20,sK22,sK21,sK25,sK20,sK20,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_17547]) ).
tcf(c_20020,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,sK20,sK22)
| ~ perp(X0,X1,sK20,sK22)
| ~ para(sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_11486]) ).
tcf(c_20023,plain,
( perp(sK20,sK21,sK20,sK22)
| ~ perp(sK20,sK20,sK20,sK22)
| ~ para(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20020]) ).
tcf(c_21568,plain,
! [X0: $i] :
( para(sK20,sK22,sK23,sK22)
| ~ perp(sK20,sK22,X0,sK21)
| ~ perp(X0,sK21,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_8083]) ).
tcf(c_21569,plain,
( para(sK20,sK22,sK23,sK22)
| ~ perp(sK20,sK22,sK20,sK21)
| ~ perp(sK20,sK21,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_21568]) ).
tcf(c_24734,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK22,sK21,sK25,X0,X1,sK21,sK25)
| ~ para(sK20,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_24735,plain,
( eqangle(sK20,sK22,sK21,sK25,sK20,sK20,sK21,sK25)
| ~ para(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24734]) ).
tcf(c_24775,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,sK22,X2,X3)
| ~ perp(sK20,sK22,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_24777,plain,
( para(sK20,sK22,sK20,sK20)
| ~ perp(sK20,sK22,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24775]) ).
tcf(c_25527,plain,
! [X0: $i] :
( cong(X0,sK25,X0,sK25)
| ~ midp(X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_25528,plain,
( cong(sK20,sK25,sK20,sK25)
| ~ midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_25527]) ).
tcf(c_26934,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(sK21,sK25,sK20,sK22,X4,X5,X6,X7)
| ~ eqangle(sK21,sK25,sK20,sK22,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(instantiation,[status(thm)],[c_70]) ).
tcf(c_27151,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK21,sK25)
| ~ eqangle(X0,X1,X2,X3,sK21,sK25,X2,X3) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_27184,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK25,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK25,X2,X1)
| ~ para(X0,X1,X2,sK25) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_27310,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK21,sK25,sK20,sK22)
| ~ eqangle(sK21,sK25,sK20,sK22,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_28197,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK21,sK25,sK20,sK22,X2,X3,X4,X5)
| ~ eqangle(sK21,sK25,sK20,sK22,sK21,sK25,X0,X1)
| ~ eqangle(sK21,sK25,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_26934]) ).
tcf(c_28684,plain,
( para(sK21,sK25,sK21,sK25)
| ~ eqangle(sK21,sK25,sK20,sK22,sK21,sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_27151]) ).
tcf(c_28949,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK25,X0,X1,sK21,sK25,sK20,sK22)
| ~ eqangle(sK21,sK25,sK20,sK22,sK21,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_27310]) ).
tcf(c_28950,plain,
( eqangle(sK21,sK25,sK20,sK20,sK21,sK25,sK20,sK22)
| ~ eqangle(sK21,sK25,sK20,sK22,sK21,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28949]) ).
tcf(c_29149,plain,
! [X0: $i,X1: $i] :
( midp(X1,sK25,sK25)
| ~ midp(X1,X0,X0)
| ~ para(X0,sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_27184]) ).
tcf(c_33104,plain,
! [X0: $i,X1: $i] :
( eqangle(sK21,sK25,sK20,sK22,sK21,sK25,sK20,sK22)
| ~ eqangle(sK21,sK25,sK20,sK22,sK21,sK25,X0,X1)
| ~ eqangle(sK21,sK25,X0,X1,sK21,sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_28197]) ).
tcf(c_33110,plain,
( eqangle(sK21,sK25,sK20,sK22,sK21,sK25,sK20,sK22)
| ~ eqangle(sK21,sK25,sK20,sK22,sK21,sK25,sK20,sK20)
| ~ eqangle(sK21,sK25,sK20,sK20,sK21,sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_33104]) ).
tcf(c_34620,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK25,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_29149]) ).
tcf(c_34621,plain,
( midp(sK20,sK25,sK25)
| ~ midp(sK20,sK21,sK21)
| ~ para(sK21,sK25,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_34620]) ).
tcf(c_34622,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_34621,c_33110,c_28950,c_28684,c_25528,c_24777,c_24735,c_21569,c_20023,c_17548,c_17296,c_17117,c_16987,c_16346,c_16272,c_16251,c_15701,c_15700,c_15262,c_14645,c_14624,c_13802,c_11479,c_10129,c_9754,c_8939,c_8628,c_7859,c_5724,c_5233,c_5060,c_4896,c_4872,c_4851,c_4847,c_4820,c_4660,c_4659,c_4638,c_4636,c_4594,c_4570,c_4476,c_4475,c_4469,c_4465,c_232,c_199,c_183,c_178,c_174,c_162,c_163,c_165,c_164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO546+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/20.66 % CPULimit : 300
% 0.08/20.66 % WCLimit : 300
% 0.08/20.66 % DateTime : Wed Sep 23 12:22:41 UTC 2026
% 0.08/20.66 % CPUTime :
% 0.08/20.66 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.35/20.70 Running first-order theorem proving
% 0.35/20.70 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
% 0.35/20.71
% 0.35/20.71 % ======== iProver multi-core TPTP/SMT =========
% 0.35/20.71
% 0.35/20.72 % Detected problem language: tptp
% 0.35/20.73 % Proving...
% 38.44/26.70 % SZS status Started for theBenchmark.p
% 38.44/26.70 % SZS status Theorem for theBenchmark.p
% 38.44/26.70
% 38.44/26.70 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 38.44/26.70
% 38.44/26.70 % ------ iProver source info
% 38.44/26.70
% 38.44/26.70 % git: date: 2026-07-19 20:42:38 +0200
% 38.44/26.70 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 38.44/26.70 % git: non_committed_changes: false
% 38.44/26.70
% 38.44/26.70 % ------ Parsing...
% 38.44/26.70 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 38.44/26.70
% 38.44/26.70 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 38.44/26.70
% 38.44/26.70 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 38.44/26.70
% 38.44/26.70 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 38.44/26.70 % ------ Proving...
% 38.44/26.70 % ------ Problem Properties
% 38.44/26.70
% 38.44/26.70 %
% 38.44/26.70 % clauses 119
% 38.44/26.70 % conjectures 7
% 38.44/26.70 % EPR 82
% 38.44/26.70 % Horn 109
% 38.44/26.70 % unary 7
% 38.44/26.70 % binary 37
% 38.44/26.70 % lits 335
% 38.44/26.70 % lits eq 4
% 38.44/26.70 % fd_pure 0
% 38.44/26.70 % fd_pseudo 0
% 38.44/26.70 % fd_cond 0
% 38.44/26.70 % fd_pseudo_cond 4
% 38.44/26.70 % AC symbols 0
% 38.44/26.70
% 38.44/26.70 % ------ Input Options Time Limit: Unbounded
% 38.44/26.70
% 38.44/26.70
% 38.44/26.70 % ------
% 38.44/26.70 % Current options:
% 38.44/26.70 % ------
% 38.44/26.70
% 38.44/26.70
% 38.44/26.70 %
% 38.44/26.70
% 38.44/26.70 % ------ Proving...
% 38.44/26.70 %
% 38.44/26.70
% 38.44/26.70 % SZS status Theorem for theBenchmark.p
% 38.44/26.70
% 38.44/26.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 40.55/26.70
% 40.55/26.70
%------------------------------------------------------------------------------