TSTP Solution File: GEO557+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO557+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:11:45 EDT 2023
% Result : Theorem 30.91s 5.88s
% Output : CNFRefutation 31.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 233 ( 17 unt; 0 def)
% Number of atoms : 608 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 657 ( 282 ~; 269 |; 77 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-5 aty)
% Number of variables : 588 ( 1 sgn; 338 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD3) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD9) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',ruleD17) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f42,axiom,
! [X0,X1,X8,X9] :
( ( ~ coll(X8,X9,X0)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X2,X18,X7,X16,X1,X12,X19,X6,X20,X21,X22] :
( ( circle(X19,X18,X6,X22)
& circle(X12,X0,X6,X21)
& circle(X19,X18,X16,X1)
& circle(X12,X0,X2,X1)
& coll(X1,X2,X16)
& coll(X1,X0,X18)
& circle(X7,X0,X16,X20)
& circle(X7,X0,X2,X18) )
=> cyclic(X6,X18,X7,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012017) ).
fof(f96,negated_conjecture,
~ ! [X0,X2,X18,X7,X16,X1,X12,X19,X6,X20,X21,X22] :
( ( circle(X19,X18,X6,X22)
& circle(X12,X0,X6,X21)
& circle(X19,X18,X16,X1)
& circle(X12,X0,X2,X1)
& coll(X1,X2,X16)
& coll(X1,X0,X18)
& circle(X7,X0,X16,X20)
& circle(X7,X0,X2,X18) )
=> cyclic(X6,X18,X7,X2) ),
inference(negated_conjecture,[],[f95]) ).
fof(f103,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(rectify,[],[f21]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f42]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> cyclic(X8,X2,X3,X1) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f169,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f170]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f178,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(flattening,[],[f178]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f190]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f103]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f221,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f222,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f221]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f267,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cyclic(X8,X2,X3,X1)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cyclic(X8,X2,X3,X1)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( ? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) )
=> ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).
fof(f350,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ cyclic(X8,X2,X3,X1)
& circle(X7,X2,X8,X11)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X9)
& circle(X3,X0,X1,X2) )
=> ( ~ cyclic(sK28,sK22,sK23,sK21)
& circle(sK27,sK22,sK28,sK31)
& circle(sK26,sK20,sK28,sK30)
& circle(sK27,sK22,sK24,sK25)
& circle(sK26,sK20,sK21,sK25)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK22)
& circle(sK23,sK20,sK24,sK29)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cyclic(sK28,sK22,sK23,sK21)
& circle(sK27,sK22,sK28,sK31)
& circle(sK26,sK20,sK28,sK30)
& circle(sK27,sK22,sK24,sK25)
& circle(sK26,sK20,sK21,sK25)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK22)
& circle(sK23,sK20,sK24,sK29)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f361,plain,
! [X2,X0,X1] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f366,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f176]) ).
fof(f367,plain,
! [X2,X3,X0,X1] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f177]) ).
fof(f368,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f179]) ).
fof(f373,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f187]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f188]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f401,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f222]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f426,plain,
! [X2,X0,X1] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f459,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f343]) ).
fof(f467,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f474,plain,
circle(sK23,sK20,sK24,sK29),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
coll(sK25,sK21,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
circle(sK26,sK20,sK28,sK30),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
~ cyclic(sK28,sK22,sK23,sK21),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_50,plain,
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f361]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
cnf(c_55,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f366]) ).
cnf(c_56,plain,
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f367]) ).
cnf(c_57,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f368]) ).
cnf(c_62,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f373]) ).
cnf(c_63,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f374]) ).
cnf(c_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_65,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f376]) ).
cnf(c_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_90,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| cyclic(X1,X2,X0,X3)
| coll(X0,X3,X1) ),
inference(cnf_transformation,[],[f401]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_115,plain,
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f426]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_155,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,X3,X4)
| perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_162,negated_conjecture,
~ cyclic(sK28,sK22,sK23,sK21),
inference(cnf_transformation,[],[f481]) ).
cnf(c_164,negated_conjecture,
circle(sK26,sK20,sK28,sK30),
inference(cnf_transformation,[],[f479]) ).
cnf(c_167,negated_conjecture,
coll(sK25,sK21,sK24),
inference(cnf_transformation,[],[f476]) ).
cnf(c_168,negated_conjecture,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_169,negated_conjecture,
circle(sK23,sK20,sK24,sK29),
inference(cnf_transformation,[],[f474]) ).
cnf(c_2356,plain,
( ~ coll(sK25,sK21,sK24)
| coll(sK21,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2357,plain,
( ~ coll(sK25,sK21,sK24)
| coll(sK25,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2359,plain,
( ~ coll(sK25,sK21,X0)
| ~ coll(sK25,sK21,sK24)
| coll(X0,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2362,plain,
( ~ coll(sK25,sK20,sK22)
| coll(sK20,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2363,plain,
( ~ coll(sK25,sK20,sK22)
| coll(sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2369,plain,
( ~ circle(sK26,sK20,sK28,sK30)
| perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_2372,plain,
( ~ circle(sK23,sK20,sK24,sK29)
| perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_2391,plain,
( ~ coll(sK21,sK25,sK24)
| coll(sK21,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2435,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26)
| perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_2443,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26)
| ~ coll(sK26,X0,X1)
| perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,X0,X1),sK11(sK20,sK28,sK30,sK26),X0,X1) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_2448,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26)
| ~ coll(sK26,sK20,sK20)
| perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK28,sK30,sK26),sK20,sK20) ),
inference(instantiation,[status(thm)],[c_2443]) ).
cnf(c_2518,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23)
| perp(sK20,sK23,sK11(sK20,sK24,sK29,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2523,plain,
( ~ perp(X0,X1,sK11(sK20,sK24,sK29,sK23),sK20)
| ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23)
| para(X0,X1,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2666,plain,
( ~ coll(sK25,sK21,sK24)
| coll(sK24,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_2359]) ).
cnf(c_2668,plain,
( ~ coll(sK20,sK25,sK22)
| coll(sK20,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2670,plain,
( ~ coll(sK20,sK25,X0)
| ~ coll(sK20,sK25,sK22)
| coll(X0,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2671,plain,
( ~ coll(sK20,sK25,sK22)
| ~ coll(sK20,sK25,sK20)
| coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_2670]) ).
cnf(c_2675,plain,
( ~ coll(sK25,sK22,sK20)
| coll(sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2678,plain,
( ~ coll(sK25,sK22,X0)
| ~ coll(sK25,sK22,sK20)
| coll(X0,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2679,plain,
( ~ coll(sK25,sK22,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_2678]) ).
cnf(c_2770,plain,
( ~ coll(sK20,sK22,sK25)
| coll(sK22,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2782,plain,
( ~ coll(sK22,sK25,X0)
| ~ coll(sK22,sK25,sK20)
| coll(X0,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2783,plain,
( ~ coll(sK22,sK25,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_2782]) ).
cnf(c_2788,plain,
( ~ coll(X0,sK20,sK25)
| coll(X0,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2789,plain,
( ~ coll(sK20,sK20,sK25)
| coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_2788]) ).
cnf(c_2795,plain,
( ~ coll(sK25,sK22,sK20)
| ~ coll(sK25,sK22,sK25)
| coll(sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_2678]) ).
cnf(c_2821,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20)
| perp(sK26,sK20,sK11(sK20,sK28,sK30,sK26),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2936,plain,
( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23)
| ~ perp(sK20,sK23,sK11(sK20,sK24,sK29,sK23),sK20)
| para(sK20,sK23,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_2523]) ).
cnf(c_3217,plain,
( ~ coll(sK20,sK25,X0)
| ~ coll(sK20,sK25,sK22)
| coll(X0,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3276,plain,
( ~ coll(sK21,sK24,X0)
| ~ coll(sK21,sK24,sK25)
| coll(X0,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3286,plain,
( ~ coll(sK24,sK24,X0)
| ~ coll(sK24,sK24,sK25)
| coll(X0,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3298,plain,
( ~ coll(X0,sK22,X1)
| ~ coll(X0,sK22,sK20)
| coll(X1,sK20,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3299,plain,
( ~ coll(sK20,sK22,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3298]) ).
cnf(c_3318,plain,
( ~ coll(sK21,X0,sK25)
| coll(sK21,sK25,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3319,plain,
( ~ coll(sK21,sK20,sK25)
| coll(sK21,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_3318]) ).
cnf(c_3320,plain,
( ~ coll(sK25,X0,sK24)
| coll(sK25,sK24,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3334,plain,
( ~ coll(X0,X1,sK21)
| ~ coll(X0,X1,sK25)
| coll(sK21,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3360,plain,
( ~ perp(X0,X1,sK11(sK20,sK28,sK30,sK26),sK20)
| ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20)
| para(X0,X1,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_3819,plain,
( ~ coll(sK21,sK24,sK25)
| coll(sK25,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_3276]) ).
cnf(c_3838,plain,
( ~ coll(sK24,sK24,sK25)
| coll(sK25,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_3286]) ).
cnf(c_3947,plain,
( ~ coll(sK25,sK25,sK22)
| coll(sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3986,plain,
( ~ coll(sK25,X0,X1)
| ~ coll(sK25,X0,sK21)
| coll(sK21,X1,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_4009,plain,
( ~ coll(sK25,sK25,sK24)
| coll(sK25,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_3320]) ).
cnf(c_4058,plain,
( ~ coll(sK21,X0,X1)
| ~ coll(sK21,X0,X2)
| coll(X1,X2,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_4073,plain,
( ~ coll(sK21,sK22,X0)
| ~ coll(sK21,sK22,sK20)
| coll(X0,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_3298]) ).
cnf(c_4074,plain,
( ~ coll(sK21,sK22,sK20)
| coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_4073]) ).
cnf(c_4092,plain,
( ~ coll(sK25,sK24,sK21)
| ~ coll(sK25,sK24,sK25)
| coll(sK21,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_3334]) ).
cnf(c_4682,plain,
( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20)
| ~ perp(sK26,sK20,sK11(sK20,sK28,sK30,sK26),sK20)
| para(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_3360]) ).
cnf(c_5153,plain,
( ~ para(sK20,sK23,sK20,sK23)
| eqangle(sK20,sK23,X0,X1,sK20,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_5157,plain,
( ~ para(sK20,sK23,sK20,sK23)
| eqangle(sK20,sK23,sK20,sK20,sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5153]) ).
cnf(c_6157,plain,
( ~ coll(sK22,X0,sK25)
| coll(sK25,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_6158,plain,
( ~ coll(sK22,sK20,sK25)
| coll(sK25,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_6157]) ).
cnf(c_6610,plain,
( ~ coll(sK25,sK25,X0)
| ~ coll(sK25,sK25,sK21)
| coll(sK21,X0,sK25) ),
inference(instantiation,[status(thm)],[c_3986]) ).
cnf(c_6611,plain,
( ~ coll(sK25,sK25,sK21)
| ~ coll(sK25,sK25,sK20)
| coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_6610]) ).
cnf(c_6907,plain,
( ~ coll(sK20,sK25,sK22)
| ~ coll(sK20,sK25,sK21)
| coll(sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_3217]) ).
cnf(c_6914,plain,
( ~ coll(sK21,sK25,X0)
| ~ coll(sK21,sK25,sK25)
| coll(X0,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_4058]) ).
cnf(c_6915,plain,
( ~ coll(sK21,sK25,sK20)
| ~ coll(sK21,sK25,sK25)
| coll(sK20,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_6914]) ).
cnf(c_9054,plain,
( ~ para(sK26,sK20,sK26,sK20)
| coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_9688,plain,
( ~ perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,X0,X1),sK11(sK20,sK28,sK30,sK26),X0,X1)
| perp(X0,X1,sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,X0,X1),sK11(sK20,sK28,sK30,sK26)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_9690,plain,
( ~ perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK28,sK30,sK26),sK20,sK20)
| perp(sK20,sK20,sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK28,sK30,sK26)) ),
inference(instantiation,[status(thm)],[c_9688]) ).
cnf(c_9694,plain,
( ~ perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,X0,X1),sK11(sK20,sK28,sK30,sK26),X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,X0,X1),sK11(sK20,sK28,sK30,sK26))
| para(X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_9695,plain,
( ~ perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK28,sK30,sK26),sK20,sK20)
| ~ perp(sK20,sK20,sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK28,sK30,sK26))
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9694]) ).
cnf(c_9753,plain,
~ cyclic(sK28,sK23,sK22,sK21),
inference(resolution,[status(thm)],[c_162,c_63]) ).
cnf(c_9902,plain,
~ cyclic(sK28,sK23,sK21,sK22),
inference(resolution,[status(thm)],[c_9753,c_62]) ).
cnf(c_9954,plain,
~ cyclic(sK28,sK21,sK23,sK22),
inference(resolution,[status(thm)],[c_9902,c_63]) ).
cnf(c_10054,plain,
~ cyclic(sK28,sK21,sK22,sK23),
inference(resolution,[status(thm)],[c_9954,c_62]) ).
cnf(c_10299,plain,
~ cyclic(sK21,sK28,sK22,sK23),
inference(resolution,[status(thm)],[c_10054,c_64]) ).
cnf(c_10305,plain,
~ cyclic(sK21,sK22,sK28,sK23),
inference(resolution,[status(thm)],[c_10299,c_63]) ).
cnf(c_10551,plain,
( ~ cyclic(X0,sK21,sK22,sK28)
| ~ cyclic(X0,sK21,sK22,sK23) ),
inference(resolution,[status(thm)],[c_10305,c_65]) ).
cnf(c_10552,plain,
( ~ cyclic(sK20,sK21,sK22,sK28)
| ~ cyclic(sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_10551]) ).
cnf(c_14120,plain,
( ~ coll(sK25,X0,sK25)
| coll(sK25,sK25,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_14121,plain,
( ~ coll(sK25,sK20,sK25)
| coll(sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_14120]) ).
cnf(c_26398,plain,
( ~ cyclic(X0,sK23,sK20,sK20)
| cyclic(X0,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_26399,plain,
( ~ cyclic(sK20,sK23,sK20,sK20)
| cyclic(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_26398]) ).
cnf(c_28367,plain,
( ~ cyclic(X0,X1,sK21,X2)
| cyclic(X0,X1,X2,sK21) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_28368,plain,
( ~ cyclic(sK20,sK20,sK21,sK20)
| cyclic(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_28367]) ).
cnf(c_28370,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,X3,sK21) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_29859,plain,
( ~ cyclic(X0,X1,X2,sK28)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_29860,plain,
( ~ cyclic(sK20,sK20,sK20,sK28)
| ~ cyclic(sK20,sK20,sK20,sK21)
| cyclic(sK20,sK20,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_29859]) ).
cnf(c_30007,plain,
( ~ cyclic(X0,sK21,X1,X2)
| cyclic(X0,X1,sK21,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_30008,plain,
( ~ cyclic(sK20,sK21,sK20,sK20)
| cyclic(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_30007]) ).
cnf(c_30014,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,sK21,X3) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_30371,plain,
( ~ cyclic(X0,sK22,X1,X2)
| cyclic(X0,X1,sK22,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_30372,plain,
( ~ cyclic(sK20,sK22,sK20,sK20)
| cyclic(sK20,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_30371]) ).
cnf(c_32658,plain,
( ~ cyclic(X0,X1,sK28,X2)
| cyclic(X0,X1,X2,sK28) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_32659,plain,
( ~ cyclic(sK20,sK20,sK28,sK20)
| cyclic(sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_32658]) ).
cnf(c_32685,plain,
( ~ cyclic(X0,X1,sK21,X2)
| cyclic(X0,sK21,X1,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_32692,plain,
( ~ cyclic(X0,X1,sK21,X2)
| ~ cyclic(X0,X1,sK21,X3)
| cyclic(X1,sK21,X2,X3) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_32693,plain,
( ~ eqangle(X0,X1,X0,sK21,X2,X1,X2,sK21)
| ~ coll(X0,X2,sK21)
| cyclic(X1,sK21,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_32694,plain,
( ~ eqangle(sK20,sK20,sK20,sK21,sK20,sK20,sK20,sK21)
| ~ coll(sK20,sK20,sK21)
| cyclic(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32693]) ).
cnf(c_33672,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK21,X0,X1,X0,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_33674,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK21,sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_33672]) ).
cnf(c_33716,plain,
( ~ cyclic(sK23,X0,X1,X2)
| cyclic(X0,sK23,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_33717,plain,
( ~ cyclic(sK23,sK20,sK20,sK20)
| cyclic(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_33716]) ).
cnf(c_33742,plain,
( ~ cyclic(X0,X1,sK23,X2)
| cyclic(X0,X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_33743,plain,
( ~ cyclic(sK20,sK20,sK23,sK20)
| cyclic(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_33742]) ).
cnf(c_33745,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,sK23)
| cyclic(X1,X2,X3,sK23) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_33818,plain,
( ~ eqangle(X0,X1,X0,sK22,X2,X1,X2,sK22)
| ~ coll(X0,X2,sK22)
| cyclic(X1,sK22,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_33819,plain,
( ~ eqangle(sK20,sK20,sK20,sK22,sK20,sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK22)
| cyclic(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_33818]) ).
cnf(c_33846,plain,
( ~ cyclic(X0,X1,sK22,X2)
| cyclic(X0,X1,X2,sK22) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_33847,plain,
( ~ cyclic(sK20,sK20,sK22,sK20)
| cyclic(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_33846]) ).
cnf(c_34265,plain,
( ~ eqangle(X0,X1,X0,sK28,X2,X1,X2,sK28)
| ~ coll(X0,X2,sK28)
| cyclic(X1,sK28,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_34266,plain,
( ~ eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28)
| ~ coll(sK20,sK20,sK28)
| cyclic(sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_34265]) ).
cnf(c_36672,plain,
( ~ coll(X0,sK28,X1)
| coll(X0,X1,sK28) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_36673,plain,
( ~ coll(sK20,sK28,sK20)
| coll(sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_36672]) ).
cnf(c_37621,plain,
( ~ cyclic(X0,sK28,X1,X2)
| cyclic(X0,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_37622,plain,
( ~ cyclic(sK20,sK28,sK20,sK20)
| cyclic(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_37621]) ).
cnf(c_37651,plain,
( ~ eqangle(X0,X1,sK28,X1,X0,X2,sK28,X2)
| eqangle(X0,X1,X0,X2,sK28,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_37652,plain,
( ~ eqangle(sK20,sK20,sK28,sK20,sK20,sK20,sK28,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_37651]) ).
cnf(c_37674,plain,
( ~ cyclic(X0,sK22,sK21,sK23)
| cyclic(X0,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_32685]) ).
cnf(c_37675,plain,
( ~ cyclic(sK20,sK22,sK21,sK23)
| cyclic(sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_37674]) ).
cnf(c_38220,plain,
( ~ cyclic(X0,X1,X2,sK22)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_28370]) ).
cnf(c_38221,plain,
( ~ cyclic(sK20,sK20,sK20,sK22)
| ~ cyclic(sK20,sK20,sK20,sK21)
| cyclic(sK20,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_38220]) ).
cnf(c_38504,plain,
( ~ cyclic(X0,X1,sK22,sK23)
| ~ cyclic(X0,X1,sK22,sK21)
| cyclic(X1,sK22,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_30014]) ).
cnf(c_38505,plain,
( ~ cyclic(sK20,sK20,sK22,sK23)
| ~ cyclic(sK20,sK20,sK22,sK21)
| cyclic(sK20,sK22,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_38504]) ).
cnf(c_38508,plain,
( ~ cyclic(X0,X1,X2,sK22)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_30014]) ).
cnf(c_38509,plain,
( ~ cyclic(sK20,sK20,sK20,sK22)
| ~ cyclic(sK20,sK20,sK20,sK21)
| cyclic(sK20,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_38508]) ).
cnf(c_38848,plain,
( ~ cyclic(X0,X1,sK21,sK28)
| ~ cyclic(X0,X1,sK21,sK22)
| cyclic(X1,sK21,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_32692]) ).
cnf(c_38849,plain,
( ~ cyclic(sK20,sK20,sK21,sK28)
| ~ cyclic(sK20,sK20,sK21,sK22)
| cyclic(sK20,sK21,sK22,sK28) ),
inference(instantiation,[status(thm)],[c_38848]) ).
cnf(c_40401,plain,
( ~ eqangle(X0,sK23,X0,X1,X2,sK23,X2,X1)
| ~ coll(X0,X2,X1)
| cyclic(sK23,X1,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_40402,plain,
( ~ eqangle(sK20,sK23,sK20,sK20,sK20,sK23,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_40401]) ).
cnf(c_42486,plain,
( ~ cyclic(X0,X1,X2,sK22)
| ~ cyclic(X0,X1,X2,sK23)
| cyclic(X1,X2,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_33745]) ).
cnf(c_42488,plain,
( ~ cyclic(sK20,sK20,sK20,sK22)
| ~ cyclic(sK20,sK20,sK20,sK23)
| cyclic(sK20,sK20,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_42486]) ).
cnf(c_42649,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK22,X0,X1,X0,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_42650,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK22,sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_42649]) ).
cnf(c_43842,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK28,X0,X1,X0,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_43843,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_43842]) ).
cnf(c_48359,plain,
( ~ eqangle(X0,X1,X0,X2,sK28,X1,sK28,X2)
| cyclic(X1,X2,X0,sK28)
| coll(X0,sK28,X1) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_48360,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK20)
| cyclic(sK20,sK20,sK20,sK28)
| coll(sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_48359]) ).
cnf(c_50298,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,sK28,X3,X2,X3,sK28,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_50300,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK28,sK20,sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_50298]) ).
cnf(c_50301,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_50300,c_48360,c_43843,c_42650,c_42488,c_40402,c_38849,c_38509,c_38505,c_38221,c_37675,c_37652,c_37622,c_36673,c_34266,c_33847,c_33819,c_33743,c_33717,c_33674,c_32694,c_32659,c_30372,c_30008,c_29860,c_28368,c_26399,c_14121,c_10552,c_9695,c_9690,c_9054,c_6915,c_6907,c_6611,c_6158,c_5157,c_4682,c_4092,c_4074,c_4009,c_3947,c_3838,c_3819,c_3319,c_3299,c_2936,c_2821,c_2795,c_2789,c_2783,c_2770,c_2679,c_2675,c_2671,c_2668,c_2666,c_2518,c_2448,c_2435,c_2391,c_2372,c_2369,c_2362,c_2363,c_2356,c_2357,c_164,c_169,c_167,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO557+1 : TPTP v8.1.2. Released v7.5.0.
% 0.15/0.14 % Command : run_iprover %s %d THM
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 22:35:52 EDT 2023
% 0.22/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 30.91/5.88 % SZS status Started for theBenchmark.p
% 30.91/5.88 % SZS status Theorem for theBenchmark.p
% 30.91/5.88
% 30.91/5.88 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 30.91/5.88
% 30.91/5.88 ------ iProver source info
% 30.91/5.88
% 30.91/5.88 git: date: 2023-05-31 18:12:56 +0000
% 30.91/5.88 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 30.91/5.88 git: non_committed_changes: false
% 30.91/5.88 git: last_make_outside_of_git: false
% 30.91/5.88
% 30.91/5.88 ------ Parsing...
% 30.91/5.88 ------ Clausification by vclausify_rel & Parsing by iProver...
% 30.91/5.88
% 30.91/5.88 ------ Preprocessing...
% 30.91/5.88
% 30.91/5.88 ------ Preprocessing...
% 30.91/5.88
% 30.91/5.88 ------ Preprocessing...
% 30.91/5.88 ------ Proving...
% 30.91/5.88 ------ Problem Properties
% 30.91/5.88
% 30.91/5.88
% 30.91/5.88 clauses 121
% 30.91/5.88 conjectures 9
% 30.91/5.88 EPR 84
% 30.91/5.88 Horn 111
% 30.91/5.88 unary 9
% 30.91/5.88 binary 37
% 30.91/5.88 lits 337
% 30.91/5.88 lits eq 4
% 30.91/5.88 fd_pure 0
% 30.91/5.88 fd_pseudo 0
% 30.91/5.88 fd_cond 0
% 30.91/5.88 fd_pseudo_cond 4
% 30.91/5.88 AC symbols 0
% 30.91/5.88
% 30.91/5.88 ------ Input Options Time Limit: Unbounded
% 30.91/5.88
% 30.91/5.88
% 30.91/5.88 ------
% 30.91/5.88 Current options:
% 30.91/5.88 ------
% 30.91/5.88
% 30.91/5.88
% 30.91/5.88
% 30.91/5.88
% 30.91/5.88 ------ Proving...
% 30.91/5.88
% 30.91/5.88
% 30.91/5.88 % SZS status Theorem for theBenchmark.p
% 30.91/5.88
% 30.91/5.88 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.44/5.88
% 31.44/5.88
%------------------------------------------------------------------------------