%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO556+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 01:21:28 PM UTC 2026
% Result : Theorem 86.61s 13.67s
% Output : CNFRefutation 86.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 25
% Syntax : Number of formulae : 216 ( 21 unt; 0 def)
% Number of atoms : 584 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 630 ( 262 ~; 256 |; 86 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 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 : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 659 ( 0 sgn 637 !; 22 ?; 204 :)
% 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(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
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(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(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/sandbox2/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/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(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/sandbox2/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/sandbox2/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/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] :
( ( coll(X10,X4,X9)
& coll(X10,X5,X8)
& coll(X9,X1,X2)
& perp(X9,X4,X1,X2)
& coll(X8,X0,X2)
& perp(X8,X5,X0,X2)
& coll(X7,X1,X2)
& perp(X7,X0,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X1,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& coll(X3,X0,X1) )
=> perp(X2,X10,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012016) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( coll(X10,X4,X9)
& coll(X10,X5,X8)
& coll(X9,X1,X2)
& perp(X9,X4,X1,X2)
& coll(X8,X0,X2)
& perp(X8,X5,X0,X2)
& coll(X7,X1,X2)
& perp(X7,X0,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X1,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& coll(X3,X0,X1) )
=> perp(X2,X10,X4,X5) ),
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(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(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(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(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,X6,X7,X8,X9,X10] :
( coll(X10,X4,X9)
& coll(X10,X5,X8)
& coll(X9,X1,X2)
& perp(X9,X4,X1,X2)
& coll(X8,X0,X2)
& perp(X8,X5,X0,X2)
& coll(X7,X1,X2)
& perp(X7,X0,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X1,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& coll(X3,X0,X1)
& ~ perp(X2,X10,X4,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( coll(X10,X4,X9)
& coll(X10,X5,X8)
& coll(X9,X1,X2)
& perp(X9,X4,X1,X2)
& coll(X8,X0,X2)
& perp(X8,X5,X0,X2)
& coll(X7,X1,X2)
& perp(X7,X0,X1,X2)
& coll(X6,X0,X2)
& perp(X6,X1,X0,X2)
& coll(X5,X1,X2)
& perp(X5,X3,X1,X2)
& coll(X4,X0,X2)
& perp(X4,X3,X0,X2)
& coll(X3,X0,X1)
& ~ perp(X2,X10,X4,X5) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK30,sK24,sK29)
& coll(sK30,sK25,sK28)
& coll(sK29,sK21,sK22)
& perp(sK29,sK24,sK21,sK22)
& coll(sK28,sK20,sK22)
& perp(sK28,sK25,sK20,sK22)
& coll(sK27,sK21,sK22)
& perp(sK27,sK20,sK21,sK22)
& coll(sK26,sK20,sK22)
& perp(sK26,sK21,sK20,sK22)
& coll(sK25,sK21,sK22)
& perp(sK25,sK23,sK21,sK22)
& coll(sK24,sK20,sK22)
& perp(sK24,sK23,sK20,sK22)
& coll(sK23,sK20,sK21)
& ~ perp(sK22,sK30,sK24,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(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(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(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(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(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(f394,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
perp(sK25,sK23,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f396,plain,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
perp(sK24,sK23,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f399,plain,
~ perp(sK22,sK30,sK24,sK25),
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_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_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_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_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(sK22,sK30,sK24,sK25),
inference(cnf_transformation,[],[f399]) ).
tcf(c_164,negated_conjecture,
perp(sK24,sK23,sK20,sK22),
inference(cnf_transformation,[],[f397]) ).
tcf(c_165,negated_conjecture,
coll(sK24,sK20,sK22),
inference(cnf_transformation,[],[f396]) ).
tcf(c_166,negated_conjecture,
perp(sK25,sK23,sK21,sK22),
inference(cnf_transformation,[],[f395]) ).
tcf(c_167,negated_conjecture,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f394]) ).
tcf(c_183,plain,
( midp(sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_187,plain,
( eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_192,plain,
( perp(sK22,sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_241,plain,
( cong(sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK22,sK22)
| ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_335,plain,
( perp(sK20,sK22,sK24,sK23)
| ~ perp(sK24,sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_336,plain,
( perp(sK21,sK22,sK25,sK23)
| ~ perp(sK25,sK23,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_356,plain,
! [X0: $i] :
( coll(X0,sK22,sK24)
| ~ coll(sK24,sK20,sK22)
| ~ coll(sK24,sK20,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_357,plain,
( coll(sK22,sK22,sK24)
| ~ coll(sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_356]) ).
tcf(c_358,plain,
! [X0: $i] :
( coll(X0,sK22,sK25)
| ~ coll(sK25,sK21,sK22)
| ~ coll(sK25,sK21,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_359,plain,
( coll(sK22,sK22,sK25)
| ~ coll(sK25,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_358]) ).
tcf(c_744,plain,
( perp(sK20,sK22,sK23,sK24)
| ~ perp(sK20,sK22,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_745,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK24,sK23)
| ~ perp(sK20,sK22,sK24,sK23)
| ~ perp(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_775,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK25,sK23)
| ~ perp(sK21,sK22,sK25,sK23)
| ~ perp(X0,X1,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_916,plain,
! [X0: $i] :
( coll(X0,sK24,sK22)
| ~ coll(X0,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_917,plain,
( coll(sK22,sK24,sK22)
| ~ coll(sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_916]) ).
tcf(c_1553,plain,
! [X0: $i] :
( coll(X0,sK22,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(resolution,[status(thm)],[c_51,c_167]) ).
tcf(c_1791,plain,
coll(sK22,sK22,sK25),
inference(resolution,[status(thm)],[c_1553,c_167]) ).
tcf(c_1815,plain,
! [X0: $i] :
( coll(X0,sK25,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(resolution,[status(thm)],[c_1791,c_51]) ).
tcf(c_1868,plain,
( perp(sK23,sK24,sK20,sK22)
| ~ perp(sK20,sK22,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_1870,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK23,sK24)
| ~ perp(sK20,sK22,sK23,sK24)
| ~ perp(X0,X1,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_2040,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK22,X0)
| ~ coll(X0,sK24,sK22)
| ~ coll(X0,sK24,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2041,plain,
( coll(sK22,sK22,sK22)
| ~ coll(sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_2040]) ).
tcf(c_2605,plain,
( para(sK24,sK23,sK24,sK23)
| ~ perp(sK20,sK22,sK24,sK23)
| ~ perp(sK24,sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_745]) ).
tcf(c_2608,plain,
( para(sK25,sK23,sK25,sK23)
| ~ perp(sK21,sK22,sK25,sK23)
| ~ perp(sK25,sK23,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_775]) ).
tcf(c_3259,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK23,X0,X1,sK24,sK23,X0,X1)
| ~ para(sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_3269,plain,
( eqangle(sK24,sK23,sK22,sK22,sK24,sK23,sK22,sK22)
| ~ para(sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_3259]) ).
tcf(c_3272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK24,sK23,sK24,sK23)
| ~ eqangle(X0,X1,X2,X3,sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_3273,plain,
( para(sK22,sK22,sK22,sK22)
| ~ para(sK24,sK23,sK24,sK23)
| ~ eqangle(sK22,sK22,sK22,sK22,sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_3272]) ).
tcf(c_3744,plain,
perp(sK20,sK22,sK24,sK23),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_3745,plain,
perp(sK21,sK22,sK25,sK23),
inference(superposition,[status(thm)],[c_166,c_56]) ).
tcf(c_3819,plain,
perp(sK20,sK22,sK23,sK24),
inference(superposition,[status(thm)],[c_3744,c_55]) ).
tcf(c_4347,plain,
coll(sK25,sK25,sK22),
inference(resolution,[status(thm)],[c_1815,c_1791]) ).
tcf(c_4436,plain,
coll(sK25,sK22,sK25),
inference(resolution,[status(thm)],[c_4347,c_49]) ).
tcf(c_4713,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK23,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
tcf(c_4714,plain,
! [X0: $i,X1: $i] :
( para(sK25,sK23,X0,X1)
| ~ perp(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
tcf(c_5966,plain,
( para(sK23,sK24,sK23,sK24)
| ~ perp(sK20,sK22,sK23,sK24)
| ~ perp(sK23,sK24,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_1870]) ).
tcf(c_6155,plain,
para(sK24,sK23,sK23,sK24),
inference(superposition,[status(thm)],[c_3819,c_4713]) ).
tcf(c_6461,plain,
para(sK23,sK24,sK24,sK23),
inference(superposition,[status(thm)],[c_6155,c_53]) ).
tcf(c_6846,plain,
para(sK23,sK24,sK23,sK24),
inference(superposition,[status(thm)],[c_6461,c_52]) ).
tcf(c_7794,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_7795,plain,
( cyclic(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_7794]) ).
tcf(c_8418,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK23,sK23)
| ~ para(sK23,sK24,sK23,sK24) ),
inference(superposition,[status(thm)],[c_6846,c_113]) ).
tcf(c_8423,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK23,sK23) ),
inference(global_subsumption_just,[status(thm)],[c_8418,c_164,c_335,c_744,c_1868,c_5966,c_8418]) ).
tcf(c_8425,plain,
( midp(sK22,sK24,sK24)
| ~ midp(sK22,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_8423]) ).
tcf(c_8993,plain,
! [X0: $i,X1: $i] :
( eqangle(sK24,sK23,sK24,sK23,X0,X1,X0,X1)
| ~ eqangle(sK24,sK23,X0,X1,sK24,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_9000,plain,
( eqangle(sK24,sK23,sK24,sK23,sK22,sK22,sK22,sK22)
| ~ eqangle(sK24,sK23,sK22,sK22,sK24,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8993]) ).
tcf(c_9197,plain,
para(sK25,sK23,sK25,sK23),
inference(superposition,[status(thm)],[c_3745,c_4714]) ).
tcf(c_9215,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK25,sK25)
| ~ para(sK25,sK23,sK25,sK23) ),
inference(superposition,[status(thm)],[c_9197,c_113]) ).
tcf(c_9220,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK25,sK25) ),
inference(global_subsumption_just,[status(thm)],[c_9215,c_166,c_336,c_2608,c_9215]) ).
tcf(c_9222,plain,
( midp(sK22,sK23,sK23)
| ~ midp(sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_9220]) ).
tcf(c_10722,plain,
! [X0: $i] :
( coll(X0,sK25,sK25)
| ~ coll(sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_10723,plain,
( coll(sK22,sK25,sK25)
| ~ coll(sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_10722]) ).
tcf(c_14707,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK30,sK24,sK25)
| ~ perp(X0,X1,sK24,sK25)
| ~ para(sK22,sK30,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_14708,plain,
( perp(sK22,sK30,sK24,sK25)
| ~ perp(sK22,sK22,sK24,sK25)
| ~ para(sK22,sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_14707]) ).
tcf(c_15502,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK24,sK23,sK24,sK23)
| ~ eqangle(sK24,sK23,sK24,sK23,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_15503,plain,
( eqangle(sK22,sK22,sK22,sK22,sK24,sK23,sK24,sK23)
| ~ eqangle(sK24,sK23,sK24,sK23,sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_15502]) ).
tcf(c_21438,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK24,sK25)
| ~ cong(X0,sK25,X1,sK25)
| ~ cong(X0,sK24,X1,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_21439,plain,
( perp(sK22,sK22,sK24,sK25)
| ~ cong(sK22,sK25,sK22,sK25)
| ~ cong(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_21438]) ).
tcf(c_21832,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK22,sK30)
| ~ cong(X0,sK30,X1,sK30)
| ~ cong(X0,sK22,X1,sK22) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_21833,plain,
( perp(sK22,sK22,sK22,sK30)
| ~ cong(sK22,sK30,sK22,sK30)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_21832]) ).
tcf(c_30548,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK30,X0,X1)
| ~ para(X0,X1,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_30549,plain,
( para(sK22,sK30,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_30548]) ).
tcf(c_36370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,sK25,X3,sK25)
| ~ cyclic(X1,sK25,X0,sK25)
| ~ cyclic(X1,sK25,X0,X3)
| ~ cyclic(X1,sK25,X0,X2)
| ~ eqangle(X0,X1,X0,sK25,X2,X3,X2,sK25) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_36371,plain,
( cong(sK22,sK25,sK22,sK25)
| ~ cyclic(sK22,sK25,sK22,sK25)
| ~ cyclic(sK22,sK25,sK22,sK22)
| ~ eqangle(sK22,sK22,sK22,sK25,sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_36370]) ).
tcf(c_40336,plain,
! [X0: $i] :
( midp(X0,sK25,sK25)
| ~ coll(X0,sK25,sK25)
| ~ cong(X0,sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_40337,plain,
( midp(sK22,sK25,sK25)
| ~ coll(sK22,sK25,sK25)
| ~ cong(sK22,sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_40336]) ).
tcf(c_42280,plain,
! [X0: $i] :
( cyclic(sK22,sK25,X0,sK25)
| ~ cyclic(sK22,X0,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_42281,plain,
( cyclic(sK22,sK25,sK22,sK25)
| ~ cyclic(sK22,sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_42280]) ).
tcf(c_46149,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK22,sK30,X2,X3)
| ~ eqangle(sK22,sK30,X0,X1,X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_46331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK22,sK30)
| ~ perp(X2,X3,sK22,sK30)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_46332,plain,
( para(sK22,sK22,sK22,sK30)
| ~ perp(sK22,sK22,sK22,sK30)
| ~ perp(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_46331]) ).
tcf(c_46468,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK22,sK30,X0,X1,X2,X3,X0,X1)
| ~ eqangle(X0,X1,sK22,sK30,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_46476,plain,
! [X0: $i] :
( para(sK22,sK30,sK22,sK30)
| ~ eqangle(sK22,sK30,sK22,X0,sK22,sK30,sK22,X0) ),
inference(instantiation,[status(thm)],[c_46149]) ).
tcf(c_46478,plain,
( para(sK22,sK30,sK22,sK30)
| ~ eqangle(sK22,sK30,sK22,sK22,sK22,sK30,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_46476]) ).
tcf(c_46585,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(X3,sK30,X1)
| ~ midp(X3,X0,X2)
| ~ para(X0,sK30,X2,X1)
| ~ para(X0,X1,X2,sK30) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_47327,plain,
! [X0: $i,X1: $i] :
( cyclic(sK22,X1,sK25,sK25)
| ~ cyclic(X0,sK22,X1,sK25) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_47328,plain,
( cyclic(sK22,sK22,sK25,sK25)
| ~ cyclic(sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_47327]) ).
tcf(c_47906,plain,
( cong(sK22,sK30,sK22,sK30)
| ~ midp(sK22,sK30,sK30) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_48050,plain,
! [X0: $i,X1: $i] :
( cyclic(sK22,sK25,X0,X1)
| ~ coll(X0,X1,sK25)
| ~ eqangle(X0,sK22,X0,sK25,X1,sK22,X1,sK25) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_48051,plain,
( cyclic(sK22,sK25,sK22,sK22)
| ~ coll(sK22,sK22,sK25)
| ~ eqangle(sK22,sK22,sK22,sK25,sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_48050]) ).
tcf(c_50369,plain,
! [X0: $i] :
( eqangle(X0,sK22,X0,sK25,X0,sK22,X0,sK25)
| ~ para(X0,sK22,X0,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_50371,plain,
( eqangle(sK22,sK22,sK22,sK25,sK22,sK22,sK22,sK25)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_50369]) ).
tcf(c_50590,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK30,X0,X1,sK22,sK30,X0,X1)
| ~ eqangle(X0,X1,sK22,sK30,X0,X1,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_46468]) ).
tcf(c_50591,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,sK22,sK30,X0,X1,sK22,sK30)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_50592,plain,
( eqangle(sK22,sK30,sK22,sK22,sK22,sK30,sK22,sK22)
| ~ eqangle(sK22,sK22,sK22,sK30,sK22,sK22,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_50590]) ).
tcf(c_50593,plain,
( eqangle(sK22,sK22,sK22,sK30,sK22,sK22,sK22,sK30)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_50591]) ).
tcf(c_51450,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK25)
| ~ cyclic(X0,X1,sK25,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_51451,plain,
( cyclic(sK22,sK22,sK22,sK25)
| ~ cyclic(sK22,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_51450]) ).
tcf(c_52202,plain,
! [X0: $i] :
( midp(X0,sK30,sK30)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK30,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_46585]) ).
tcf(c_52203,plain,
( midp(sK22,sK30,sK30)
| ~ midp(sK22,sK22,sK22)
| ~ para(sK22,sK30,sK22,sK30) ),
inference(instantiation,[status(thm)],[c_52202]) ).
tcf(c_53093,plain,
! [X0: $i,X1: $i] :
( cyclic(sK22,X0,sK25,X1)
| ~ cyclic(sK22,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_53094,plain,
( cyclic(sK22,sK22,sK25,sK22)
| ~ cyclic(sK22,sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_53093]) ).
tcf(c_56119,plain,
! [X0: $i] :
( cong(X0,sK24,X0,sK24)
| ~ midp(X0,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_56120,plain,
( cong(sK22,sK24,sK22,sK24)
| ~ midp(sK22,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_56119]) ).
tcf(c_56121,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_56120,c_53094,c_52203,c_51451,c_50593,c_50592,c_50371,c_48051,c_47906,c_47328,c_46478,c_46332,c_42281,c_40337,c_36371,c_30549,c_21833,c_21439,c_15503,c_14708,c_10723,c_9222,c_9000,c_8425,c_7795,c_4436,c_3273,c_3269,c_2605,c_2041,c_917,c_359,c_357,c_335,c_241,c_192,c_187,c_183,c_162,c_164,c_165,c_167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO556+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n014.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Wed Sep 23 12:23:34 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 0.22/0.50
% 0.22/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.22/0.50
% 0.22/0.50 % Detected problem language: tptp
% 0.22/0.52 % Proving...
% 86.61/13.67 % SZS status Started for theBenchmark.p
% 86.61/13.67 % SZS status Theorem for theBenchmark.p
% 86.61/13.67
% 86.61/13.67 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 86.61/13.67
% 86.61/13.67 % ------ iProver source info
% 86.61/13.67
% 86.61/13.67 % git: date: 2026-07-19 20:42:38 +0200
% 86.61/13.67 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 86.61/13.67 % git: non_committed_changes: false
% 86.61/13.67
% 86.61/13.67 % ------ Parsing...
% 86.61/13.67 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 86.61/13.67
% 86.61/13.67 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 86.61/13.67
% 86.61/13.67 % ------ Preprocessing...%
% 86.61/13.67
% 86.61/13.67 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 86.61/13.67 % ------ Proving...
% 86.61/13.67 % ------ Problem Properties
% 86.61/13.67
% 86.61/13.67 %
% 86.61/13.67 % clauses 128
% 86.61/13.67 % conjectures 16
% 86.61/13.67 % EPR 91
% 86.61/13.67 % Horn 118
% 86.61/13.67 % unary 16
% 86.61/13.67 % binary 37
% 86.61/13.67 % lits 344
% 86.61/13.67 % lits eq 4
% 86.61/13.67 % fd_pure 0
% 86.61/13.67 % fd_pseudo 0
% 86.61/13.67 % fd_cond 0
% 86.61/13.67 % fd_pseudo_cond 4
% 86.61/13.67 % AC symbols 0
% 86.61/13.67
% 86.61/13.67 % ------ Input Options Time Limit: Unbounded
% 86.61/13.67
% 86.61/13.67
% 86.61/13.67 % ------
% 86.61/13.67 % Current options:
% 86.61/13.67 % ------
% 86.61/13.67
% 86.61/13.67
% 86.61/13.67 %
% 86.61/13.67
% 86.61/13.67 % ------ Proving...
% 86.61/13.67 %
% 86.61/13.67
% 86.61/13.67 % SZS status Theorem for theBenchmark.p
% 86.61/13.67
% 86.61/13.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 86.61/13.67
% 86.61/13.67
%------------------------------------------------------------------------------