TSTP Solution File: GEO557+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO557+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Fri May 3 02:17:49 EDT 2024
% Result : Theorem 76.44s 11.26s
% Output : CNFRefutation 76.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of formulae : 234 ( 11 unt; 0 def)
% Number of atoms : 617 ( 0 equ)
% Maximal formula atoms : 18 ( 2 avg)
% Number of connectives : 665 ( 282 ~; 277 |; 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 : 584 ( 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_2352,plain,
( ~ coll(sK25,sK21,sK24)
| coll(sK21,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2353,plain,
( ~ coll(sK25,sK21,sK24)
| coll(sK25,sK24,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2355,plain,
( ~ coll(sK25,sK21,X0)
| ~ coll(sK25,sK21,sK24)
| coll(X0,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2358,plain,
( ~ coll(sK25,sK20,sK22)
| coll(sK20,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2359,plain,
( ~ coll(sK25,sK20,sK22)
| coll(sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2365,plain,
( ~ circle(sK26,sK20,sK28,sK30)
| perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_2368,plain,
( ~ circle(sK23,sK20,sK24,sK29)
| perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_2387,plain,
( ~ coll(sK21,sK25,sK24)
| coll(sK21,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2431,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_2439,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_2444,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_2439]) ).
cnf(c_2514,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_2519,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_2662,plain,
( ~ coll(sK25,sK21,sK24)
| coll(sK24,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_2355]) ).
cnf(c_2664,plain,
( ~ coll(sK20,sK25,sK22)
| coll(sK20,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2666,plain,
( ~ coll(sK20,sK25,X0)
| ~ coll(sK20,sK25,sK22)
| coll(X0,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2667,plain,
( ~ coll(sK20,sK25,sK22)
| ~ coll(sK20,sK25,sK20)
| coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_2666]) ).
cnf(c_2671,plain,
( ~ coll(sK25,sK22,sK20)
| coll(sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2674,plain,
( ~ coll(sK25,sK22,X0)
| ~ coll(sK25,sK22,sK20)
| coll(X0,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2675,plain,
( ~ coll(sK25,sK22,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_2674]) ).
cnf(c_2766,plain,
( ~ coll(sK20,sK22,sK25)
| coll(sK22,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2778,plain,
( ~ coll(sK22,sK25,X0)
| ~ coll(sK22,sK25,sK20)
| coll(X0,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2779,plain,
( ~ coll(sK22,sK25,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_2778]) ).
cnf(c_2784,plain,
( ~ coll(X0,sK20,sK25)
| coll(X0,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2785,plain,
( ~ coll(sK20,sK20,sK25)
| coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_2784]) ).
cnf(c_2791,plain,
( ~ coll(sK25,sK22,sK20)
| ~ coll(sK25,sK22,sK25)
| coll(sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_2674]) ).
cnf(c_2817,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_2932,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_2519]) ).
cnf(c_3213,plain,
( ~ coll(sK20,sK25,X0)
| ~ coll(sK20,sK25,sK22)
| coll(X0,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3272,plain,
( ~ coll(sK21,sK24,X0)
| ~ coll(sK21,sK24,sK25)
| coll(X0,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3282,plain,
( ~ coll(sK24,sK24,X0)
| ~ coll(sK24,sK24,sK25)
| coll(X0,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3294,plain,
( ~ coll(X0,sK22,X1)
| ~ coll(X0,sK22,sK20)
| coll(X1,sK20,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3295,plain,
( ~ coll(sK20,sK22,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3294]) ).
cnf(c_3314,plain,
( ~ coll(sK21,X0,sK25)
| coll(sK21,sK25,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3315,plain,
( ~ coll(sK21,sK20,sK25)
| coll(sK21,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_3314]) ).
cnf(c_3316,plain,
( ~ coll(sK25,X0,sK24)
| coll(sK25,sK24,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3330,plain,
( ~ coll(X0,X1,sK21)
| ~ coll(X0,X1,sK25)
| coll(sK21,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3356,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_3815,plain,
( ~ coll(sK21,sK24,sK25)
| coll(sK25,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_3272]) ).
cnf(c_3834,plain,
( ~ coll(sK24,sK24,sK25)
| coll(sK25,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_3282]) ).
cnf(c_3943,plain,
( ~ coll(sK25,sK25,sK22)
| coll(sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_3976,plain,
( ~ coll(sK25,X0,X1)
| ~ coll(sK25,X0,sK21)
| coll(sK21,X1,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3999,plain,
( ~ coll(sK25,sK25,sK24)
| coll(sK25,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_3316]) ).
cnf(c_4034,plain,
( ~ coll(sK21,X0,X1)
| ~ coll(sK21,X0,X2)
| coll(X1,X2,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_4049,plain,
( ~ coll(sK21,sK22,X0)
| ~ coll(sK21,sK22,sK20)
| coll(X0,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_3294]) ).
cnf(c_4050,plain,
( ~ coll(sK21,sK22,sK20)
| coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_4049]) ).
cnf(c_4062,plain,
( ~ coll(sK25,sK24,sK21)
| ~ coll(sK25,sK24,sK25)
| coll(sK21,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_3330]) ).
cnf(c_4588,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_3356]) ).
cnf(c_5011,plain,
( ~ para(sK20,sK23,sK20,sK23)
| eqangle(sK20,sK23,X0,X1,sK20,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_5015,plain,
( ~ para(sK20,sK23,sK20,sK23)
| eqangle(sK20,sK23,sK20,sK20,sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_5011]) ).
cnf(c_5925,plain,
( ~ coll(sK22,X0,sK25)
| coll(sK25,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_5926,plain,
( ~ coll(sK22,sK20,sK25)
| coll(sK25,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_5925]) ).
cnf(c_6338,plain,
( ~ coll(sK25,sK25,X0)
| ~ coll(sK25,sK25,sK21)
| coll(sK21,X0,sK25) ),
inference(instantiation,[status(thm)],[c_3976]) ).
cnf(c_6339,plain,
( ~ coll(sK25,sK25,sK21)
| ~ coll(sK25,sK25,sK20)
| coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_6338]) ).
cnf(c_6609,plain,
( ~ coll(sK20,sK25,sK22)
| ~ coll(sK20,sK25,sK21)
| coll(sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_3213]) ).
cnf(c_6616,plain,
( ~ coll(sK21,sK25,X0)
| ~ coll(sK21,sK25,sK25)
| coll(X0,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_4034]) ).
cnf(c_6617,plain,
( ~ coll(sK21,sK25,sK20)
| ~ coll(sK21,sK25,sK25)
| coll(sK20,sK25,sK21) ),
inference(instantiation,[status(thm)],[c_6616]) ).
cnf(c_8638,plain,
( ~ para(sK26,sK20,sK26,sK20)
| coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_9160,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_9162,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_9160]) ).
cnf(c_9166,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_9167,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_9166]) ).
cnf(c_9802,plain,
( ~ cyclic(sK28,sK22,sK21,sK23)
| cyclic(sK28,sK22,sK23,sK21) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_13342,plain,
( ~ coll(sK25,X0,sK25)
| coll(sK25,sK25,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_13343,plain,
( ~ coll(sK25,sK20,sK25)
| coll(sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_13342]) ).
cnf(c_23890,plain,
( ~ cyclic(sK22,sK28,sK21,sK23)
| cyclic(sK28,sK22,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_25271,plain,
( ~ cyclic(X0,sK23,sK20,sK20)
| cyclic(X0,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_25272,plain,
( ~ cyclic(sK20,sK23,sK20,sK20)
| cyclic(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_25271]) ).
cnf(c_26768,plain,
( ~ cyclic(X0,sK28,sK21,sK22)
| cyclic(X0,sK28,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_26769,plain,
( ~ cyclic(sK20,sK28,sK21,sK22)
| cyclic(sK20,sK28,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_26768]) ).
cnf(c_26998,plain,
( ~ cyclic(sK22,sK21,sK28,sK23)
| cyclic(sK22,sK28,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_27035,plain,
( ~ cyclic(X0,sK28,sK22,sK21)
| cyclic(X0,sK22,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_27036,plain,
( ~ cyclic(sK20,sK28,sK22,sK21)
| cyclic(sK20,sK22,sK28,sK21) ),
inference(instantiation,[status(thm)],[c_27035]) ).
cnf(c_27084,plain,
( ~ cyclic(X0,sK21,sK28,sK22)
| cyclic(X0,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_27085,plain,
( ~ cyclic(sK20,sK21,sK28,sK22)
| cyclic(sK20,sK28,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_27084]) ).
cnf(c_27153,plain,
( ~ cyclic(X0,X1,sK21,X2)
| cyclic(X0,X1,X2,sK21) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_27154,plain,
( ~ cyclic(sK20,sK20,sK21,sK20)
| cyclic(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_27153]) ).
cnf(c_27156,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,X3,sK21) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_27855,plain,
( ~ cyclic(X0,sK22,sK21,sK28)
| ~ cyclic(X0,sK22,sK21,sK23)
| cyclic(sK22,sK21,sK28,sK23) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_27856,plain,
( ~ cyclic(sK20,sK22,sK21,sK28)
| ~ cyclic(sK20,sK22,sK21,sK23)
| cyclic(sK22,sK21,sK28,sK23) ),
inference(instantiation,[status(thm)],[c_27855]) ).
cnf(c_27987,plain,
( ~ cyclic(X0,sK22,sK28,sK21)
| cyclic(X0,sK22,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_27988,plain,
( ~ cyclic(sK20,sK22,sK28,sK21)
| cyclic(sK20,sK22,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_27987]) ).
cnf(c_28113,plain,
( ~ cyclic(X0,X1,sK21,sK28)
| ~ cyclic(X0,X1,sK21,sK22)
| cyclic(X1,sK21,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_28114,plain,
( ~ cyclic(sK20,sK20,sK21,sK28)
| ~ cyclic(sK20,sK20,sK21,sK22)
| cyclic(sK20,sK21,sK28,sK22) ),
inference(instantiation,[status(thm)],[c_28113]) ).
cnf(c_28604,plain,
( ~ cyclic(X0,X1,X2,sK28)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_28605,plain,
( ~ cyclic(sK20,sK20,sK20,sK28)
| ~ cyclic(sK20,sK20,sK20,sK21)
| cyclic(sK20,sK20,sK21,sK28) ),
inference(instantiation,[status(thm)],[c_28604]) ).
cnf(c_28752,plain,
( ~ cyclic(X0,sK21,X1,X2)
| cyclic(X0,X1,sK21,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_28753,plain,
( ~ cyclic(sK20,sK21,sK20,sK20)
| cyclic(sK20,sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_28752]) ).
cnf(c_28759,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,sK21,X3) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_29094,plain,
( ~ cyclic(X0,sK22,X1,X2)
| cyclic(X0,X1,sK22,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_29095,plain,
( ~ cyclic(sK20,sK22,sK20,sK20)
| cyclic(sK20,sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_29094]) ).
cnf(c_31317,plain,
( ~ cyclic(X0,X1,sK28,X2)
| cyclic(X0,X1,X2,sK28) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_31318,plain,
( ~ cyclic(sK20,sK20,sK28,sK20)
| cyclic(sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_31317]) ).
cnf(c_31352,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_31353,plain,
( ~ eqangle(sK20,sK20,sK20,sK21,sK20,sK20,sK20,sK21)
| ~ coll(sK20,sK20,sK21)
| cyclic(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_31352]) ).
cnf(c_32309,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK21,X0,X1,X0,sK21) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_32311,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK21,sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_32309]) ).
cnf(c_32353,plain,
( ~ cyclic(sK23,X0,X1,X2)
| cyclic(X0,sK23,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_32354,plain,
( ~ cyclic(sK23,sK20,sK20,sK20)
| cyclic(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32353]) ).
cnf(c_32379,plain,
( ~ cyclic(X0,X1,sK23,X2)
| cyclic(X0,X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_32380,plain,
( ~ cyclic(sK20,sK20,sK23,sK20)
| cyclic(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_32379]) ).
cnf(c_32382,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,sK23)
| cyclic(X1,X2,X3,sK23) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_32455,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_32456,plain,
( ~ eqangle(sK20,sK20,sK20,sK22,sK20,sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK22)
| cyclic(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32455]) ).
cnf(c_32484,plain,
( ~ cyclic(X0,X1,sK22,X2)
| cyclic(X0,X1,X2,sK22) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_32485,plain,
( ~ cyclic(sK20,sK20,sK22,sK20)
| cyclic(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_32484]) ).
cnf(c_32903,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_32904,plain,
( ~ eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28)
| ~ coll(sK20,sK20,sK28)
| cyclic(sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_32903]) ).
cnf(c_35196,plain,
( ~ coll(X0,sK28,X1)
| coll(X0,X1,sK28) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_35197,plain,
( ~ coll(sK20,sK28,sK20)
| coll(sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_35196]) ).
cnf(c_36121,plain,
( ~ cyclic(X0,sK28,X1,X2)
| cyclic(X0,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_36122,plain,
( ~ cyclic(sK20,sK28,sK20,sK20)
| cyclic(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_36121]) ).
cnf(c_36151,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_36152,plain,
( ~ eqangle(sK20,sK20,sK28,sK20,sK20,sK20,sK28,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_36151]) ).
cnf(c_36689,plain,
( ~ cyclic(X0,X1,X2,sK22)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_27156]) ).
cnf(c_36690,plain,
( ~ cyclic(sK20,sK20,sK20,sK22)
| ~ cyclic(sK20,sK20,sK20,sK21)
| cyclic(sK20,sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_36689]) ).
cnf(c_36968,plain,
( ~ cyclic(X0,X1,sK22,sK23)
| ~ cyclic(X0,X1,sK22,sK21)
| cyclic(X1,sK22,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_28759]) ).
cnf(c_36969,plain,
( ~ cyclic(sK20,sK20,sK22,sK23)
| ~ cyclic(sK20,sK20,sK22,sK21)
| cyclic(sK20,sK22,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_36968]) ).
cnf(c_36972,plain,
( ~ cyclic(X0,X1,X2,sK22)
| ~ cyclic(X0,X1,X2,sK21)
| cyclic(X1,X2,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_28759]) ).
cnf(c_36973,plain,
( ~ cyclic(sK20,sK20,sK20,sK22)
| ~ cyclic(sK20,sK20,sK20,sK21)
| cyclic(sK20,sK20,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_36972]) ).
cnf(c_38810,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_38811,plain,
( ~ eqangle(sK20,sK23,sK20,sK20,sK20,sK23,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK23,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_38810]) ).
cnf(c_40858,plain,
( ~ cyclic(X0,X1,X2,sK22)
| ~ cyclic(X0,X1,X2,sK23)
| cyclic(X1,X2,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_32382]) ).
cnf(c_40860,plain,
( ~ cyclic(sK20,sK20,sK20,sK22)
| ~ cyclic(sK20,sK20,sK20,sK23)
| cyclic(sK20,sK20,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_40858]) ).
cnf(c_41020,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK22,X0,X1,X0,sK22) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_41021,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK22,sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_41020]) ).
cnf(c_42148,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK28,X0,X1,X0,sK28) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_42149,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_42148]) ).
cnf(c_46532,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_46533,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK28,sK20,sK28,sK20)
| cyclic(sK20,sK20,sK20,sK28)
| coll(sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_46532]) ).
cnf(c_48419,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,sK28,X3,X2,X3,sK28,X3) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_48421,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK28,sK20,sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_48419]) ).
cnf(c_48422,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_48421,c_46533,c_42149,c_41021,c_40860,c_38811,c_36973,c_36969,c_36690,c_36152,c_36122,c_35197,c_32904,c_32485,c_32456,c_32380,c_32354,c_32311,c_31353,c_31318,c_29095,c_28753,c_28605,c_28114,c_27988,c_27856,c_27154,c_27085,c_27036,c_26998,c_26769,c_25272,c_23890,c_13343,c_9802,c_9167,c_9162,c_8638,c_6617,c_6609,c_6339,c_5926,c_5015,c_4588,c_4062,c_4050,c_3999,c_3943,c_3834,c_3815,c_3315,c_3295,c_2932,c_2817,c_2791,c_2785,c_2779,c_2766,c_2675,c_2671,c_2667,c_2664,c_2662,c_2514,c_2444,c_2431,c_2387,c_2368,c_2365,c_2358,c_2359,c_2352,c_2353,c_162,c_164,c_169,c_167,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO557+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 01:46:06 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 76.44/11.26 % SZS status Started for theBenchmark.p
% 76.44/11.26 % SZS status Theorem for theBenchmark.p
% 76.44/11.26
% 76.44/11.26 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 76.44/11.26
% 76.44/11.26 ------ iProver source info
% 76.44/11.26
% 76.44/11.26 git: date: 2024-05-02 19:28:25 +0000
% 76.44/11.26 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 76.44/11.26 git: non_committed_changes: false
% 76.44/11.26
% 76.44/11.26 ------ Parsing...
% 76.44/11.26 ------ Clausification by vclausify_rel & Parsing by iProver...
% 76.44/11.26
% 76.44/11.26 ------ Preprocessing...
% 76.44/11.26
% 76.44/11.26 ------ Preprocessing...
% 76.44/11.26
% 76.44/11.26 ------ Preprocessing...
% 76.44/11.26 ------ Proving...
% 76.44/11.26 ------ Problem Properties
% 76.44/11.26
% 76.44/11.26
% 76.44/11.26 clauses 121
% 76.44/11.26 conjectures 9
% 76.44/11.26 EPR 84
% 76.44/11.26 Horn 111
% 76.44/11.26 unary 9
% 76.44/11.26 binary 37
% 76.44/11.26 lits 337
% 76.44/11.26 lits eq 4
% 76.44/11.26 fd_pure 0
% 76.44/11.26 fd_pseudo 0
% 76.44/11.26 fd_cond 0
% 76.44/11.26 fd_pseudo_cond 4
% 76.44/11.26 AC symbols 0
% 76.44/11.26
% 76.44/11.26 ------ Input Options Time Limit: Unbounded
% 76.44/11.26
% 76.44/11.26
% 76.44/11.26 ------
% 76.44/11.26 Current options:
% 76.44/11.26 ------
% 76.44/11.26
% 76.44/11.26
% 76.44/11.26
% 76.44/11.26
% 76.44/11.26 ------ Proving...
% 76.44/11.26
% 76.44/11.26
% 76.44/11.26 % SZS status Theorem for theBenchmark.p
% 76.44/11.26
% 76.44/11.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 76.44/11.27
% 76.44/11.28
%------------------------------------------------------------------------------