TSTP Solution File: GEO616+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO616+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 02:18:04 EDT 2024
% Result : Theorem 32.55s 5.17s
% Output : CNFRefutation 32.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 25
% Syntax : Number of formulae : 194 ( 11 unt; 0 def)
% Number of atoms : 542 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 580 ( 232 ~; 221 |; 89 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 663 ( 2 sgn 468 !; 34 ?)
% 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(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD5) ).
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(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
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(f20,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).
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(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
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(f41,axiom,
! [X0,X1,X8,X9] :
( cyclic(X0,X1,X8,X9)
=> eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
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(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X6] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X6,X0,X1) )
=> midp(X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD64) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD68) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD73) ).
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(f95,conjecture,
! [X0,X1,X2,X7,X12,X4,X18,X13,X16,X19] :
( ( circle(X16,X18,X12,X13)
& coll(X13,X7,X12)
& perp(X13,X0,X7,X12)
& coll(X18,X0,X1)
& perp(X18,X4,X0,X1)
& circle(X7,X0,X4,X19)
& coll(X4,X7,X12)
& midp(X12,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X4,X18,X18,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618078) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X12,X4,X18,X13,X16,X19] :
( ( circle(X16,X18,X12,X13)
& coll(X13,X7,X12)
& perp(X13,X0,X7,X12)
& coll(X18,X0,X1)
& perp(X18,X4,X0,X1)
& circle(X7,X0,X4,X19)
& coll(X4,X7,X12)
& midp(X12,X2,X1)
& circle(X7,X0,X1,X2) )
=> perp(X4,X18,X18,X16) ),
inference(negated_conjecture,[],[f95]) ).
fof(f102,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(rectify,[],[f20]) ).
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(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
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(f120,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(rectify,[],[f41]) ).
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(f123,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(rectify,[],[f44]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f57]) ).
fof(f143,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(rectify,[],[f65]) ).
fof(f146,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(rectify,[],[f74]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> perp(X5,X6,X6,X8) ),
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(f173,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
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(f180,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f10]) ).
fof(f181,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f189,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f102]) ).
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(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
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(f220,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f120]) ).
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(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f250,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(ennf_transformation,[],[f135]) ).
fof(f251,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(flattening,[],[f250]) ).
fof(f263,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(ennf_transformation,[],[f143]) ).
fof(f264,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(flattening,[],[f263]) ).
fof(f268,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f269,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f146]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f278]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& 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(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X8,X6,X4,X7)
& coll(X7,X3,X4)
& perp(X7,X0,X3,X4)
& coll(X6,X0,X1)
& perp(X6,X5,X0,X1)
& circle(X3,X0,X5,X9)
& coll(X5,X3,X4)
& midp(X4,X2,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ perp(sK25,sK26,sK26,sK28)
& circle(sK28,sK26,sK24,sK27)
& coll(sK27,sK23,sK24)
& perp(sK27,sK20,sK23,sK24)
& coll(sK26,sK20,sK21)
& perp(sK26,sK25,sK20,sK21)
& circle(sK23,sK20,sK25,sK29)
& coll(sK25,sK23,sK24)
& midp(sK24,sK22,sK21)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK25,sK26,sK26,sK28)
& circle(sK28,sK26,sK24,sK27)
& coll(sK27,sK23,sK24)
& perp(sK27,sK20,sK23,sK24)
& coll(sK26,sK20,sK21)
& perp(sK26,sK25,sK20,sK21)
& circle(sK23,sK20,sK25,sK29)
& coll(sK25,sK23,sK24)
& midp(sK24,sK22,sK21)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29])],[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(f364,plain,
! [X2,X3,X0,X1] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f173]) ).
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(f369,plain,
! [X2,X3,X0,X1,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f375,plain,
! [X2,X3,X0,X1] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f189]) ).
fof(f379,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f194]) ).
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(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
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(f400,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f220]) ).
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(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f416,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X2,X3)
| ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f427,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f269]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f270]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f279]) ).
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(f477,plain,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
perp(sK27,sK20,sK23,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
circle(sK28,sK26,sK24,sK27),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
~ perp(sK25,sK26,sK26,sK28),
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_53,plain,
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f364]) ).
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_58,plain,
( ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f369]) ).
cnf(c_64,plain,
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f375]) ).
cnf(c_68,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f379]) ).
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_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_89,plain,
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f400]) ).
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_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_105,plain,
( ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3)
| perp(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f416]) ).
cnf(c_113,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(X0,X3,X2,X1)
| ~ midp(X4,X0,X2)
| midp(X4,X1,X3) ),
inference(cnf_transformation,[],[f424]) ).
cnf(c_116,plain,
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f427]) ).
cnf(c_117,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f428]) ).
cnf(c_122,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_148,plain,
( ~ circle(X0,X1,X2,X3)
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_162,negated_conjecture,
~ perp(sK25,sK26,sK26,sK28),
inference(cnf_transformation,[],[f482]) ).
cnf(c_163,negated_conjecture,
circle(sK28,sK26,sK24,sK27),
inference(cnf_transformation,[],[f481]) ).
cnf(c_165,negated_conjecture,
perp(sK27,sK20,sK23,sK24),
inference(cnf_transformation,[],[f479]) ).
cnf(c_166,negated_conjecture,
coll(sK26,sK20,sK21),
inference(cnf_transformation,[],[f478]) ).
cnf(c_167,negated_conjecture,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f477]) ).
cnf(c_177,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_181,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_202,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_235,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_2374,plain,
( ~ perp(sK27,sK20,sK23,sK24)
| perp(sK27,sK20,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_2377,plain,
( ~ coll(sK26,sK20,sK21)
| coll(sK20,sK26,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_2378,plain,
( ~ coll(sK26,sK20,sK21)
| coll(sK26,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2383,plain,
( ~ perp(sK26,sK25,sK20,sK21)
| perp(sK20,sK21,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2385,plain,
( ~ perp(X0,X1,sK26,sK25)
| ~ perp(sK26,sK25,sK20,sK21)
| para(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2428,plain,
( ~ circle(sK28,sK26,sK24,sK27)
| perp(sK11(sK26,sK24,sK27,sK28),sK26,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_2612,plain,
( ~ perp(sK27,sK20,sK24,sK23)
| perp(sK24,sK23,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2614,plain,
( ~ perp(X0,X1,sK27,sK20)
| ~ perp(sK27,sK20,sK24,sK23)
| para(X0,X1,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2625,plain,
( ~ coll(sK20,sK26,X0)
| ~ coll(sK20,sK26,sK21)
| coll(X0,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2626,plain,
( ~ coll(sK20,sK26,sK20)
| ~ coll(sK20,sK26,sK21)
| coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_2625]) ).
cnf(c_2633,plain,
( ~ coll(sK26,sK21,X0)
| ~ coll(sK26,sK21,sK20)
| coll(X0,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2634,plain,
( ~ coll(sK26,sK21,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_2633]) ).
cnf(c_2639,plain,
( ~ perp(sK20,sK21,sK26,sK25)
| perp(sK20,sK21,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_2648,plain,
( ~ perp(sK26,sK25,sK20,sK21)
| ~ perp(sK20,sK21,sK26,sK25)
| para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_2385]) ).
cnf(c_2715,plain,
( ~ perp(sK11(sK26,sK24,sK27,sK28),sK26,sK26,sK28)
| perp(sK26,sK28,sK11(sK26,sK24,sK27,sK28),sK26) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_2903,plain,
( ~ perp(sK24,sK23,sK27,sK20)
| ~ perp(sK27,sK20,sK24,sK23)
| para(sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_2614]) ).
cnf(c_2922,plain,
( ~ coll(X0,sK20,sK26)
| coll(X0,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_2923,plain,
( ~ coll(sK20,sK20,sK26)
| coll(sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_2922]) ).
cnf(c_2936,plain,
( ~ perp(X0,X1,sK20,sK21)
| ~ perp(sK20,sK21,sK25,sK26)
| para(X0,X1,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_2937,plain,
( ~ perp(sK20,sK20,sK20,sK21)
| ~ perp(sK20,sK21,sK25,sK26)
| para(sK20,sK20,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_2936]) ).
cnf(c_2959,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| midp(X0,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_2960,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_2959]) ).
cnf(c_3405,plain,
( ~ perp(X0,X1,sK11(sK26,sK24,sK27,sK28),sK26)
| ~ perp(sK11(sK26,sK24,sK27,sK28),sK26,sK26,sK28)
| para(X0,X1,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_3539,plain,
( ~ coll(X0,sK21,X1)
| ~ coll(X0,sK21,sK20)
| coll(X1,sK20,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_3540,plain,
( ~ coll(sK20,sK21,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_3539]) ).
cnf(c_3860,plain,
( ~ perp(sK11(sK26,sK24,sK27,sK28),sK26,sK26,sK28)
| ~ perp(sK26,sK28,sK11(sK26,sK24,sK27,sK28),sK26)
| para(sK26,sK28,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_3405]) ).
cnf(c_4845,plain,
( ~ para(sK24,sK23,sK24,sK23)
| eqangle(sK24,sK23,X0,X1,sK24,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_4851,plain,
( ~ para(sK24,sK23,sK24,sK23)
| eqangle(sK24,sK23,sK20,sK20,sK24,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4845]) ).
cnf(c_4859,plain,
( ~ eqangle(X0,X1,X2,X3,sK24,sK23,sK24,sK23)
| ~ para(sK24,sK23,sK24,sK23)
| para(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
cnf(c_4860,plain,
( ~ eqangle(sK20,sK20,sK20,sK20,sK24,sK23,sK24,sK23)
| ~ para(sK24,sK23,sK24,sK23)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4859]) ).
cnf(c_6092,plain,
( ~ para(sK26,sK28,sK26,sK28)
| ~ midp(X0,sK26,sK26)
| midp(X0,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_6093,plain,
( ~ para(sK26,sK28,sK26,sK28)
| ~ midp(sK20,sK26,sK26)
| midp(sK20,sK28,sK28) ),
inference(instantiation,[status(thm)],[c_6092]) ).
cnf(c_8503,plain,
( ~ eqangle(sK24,sK23,X0,X1,sK24,sK23,X0,X1)
| eqangle(sK24,sK23,sK24,sK23,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_8510,plain,
( ~ eqangle(sK24,sK23,sK20,sK20,sK24,sK23,sK20,sK20)
| eqangle(sK24,sK23,sK24,sK23,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8503]) ).
cnf(c_8843,plain,
( ~ para(sK25,sK26,X0,X1)
| ~ perp(X0,X1,sK26,sK28) ),
inference(resolution,[status(thm)],[c_162,c_58]) ).
cnf(c_8844,plain,
( ~ para(sK25,sK26,sK20,sK20)
| ~ perp(sK20,sK20,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_8843]) ).
cnf(c_13276,plain,
( ~ eqangle(sK24,sK23,sK24,sK23,X0,X1,X0,X1)
| eqangle(X0,X1,X0,X1,sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_68]) ).
cnf(c_13282,plain,
( ~ eqangle(sK24,sK23,sK24,sK23,sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK24,sK23,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_13276]) ).
cnf(c_15236,plain,
( ~ cong(X0,sK20,X1,sK20)
| ~ cong(X0,sK21,X1,sK21)
| perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_15237,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK21,sK20,sK21)
| perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_15236]) ).
cnf(c_15276,plain,
( ~ cong(X0,sK26,X1,sK26)
| ~ cong(X0,sK28,X1,sK28)
| perp(X0,X1,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_15277,plain,
( ~ cong(sK20,sK26,sK20,sK26)
| ~ cong(sK20,sK28,sK20,sK28)
| perp(sK20,sK20,sK26,sK28) ),
inference(instantiation,[status(thm)],[c_15276]) ).
cnf(c_15505,plain,
( ~ para(X0,sK26,X1,sK26)
| ~ midp(X2,X0,X1)
| midp(X2,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_15506,plain,
( ~ para(sK20,sK26,sK20,sK26)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_15505]) ).
cnf(c_16150,plain,
( ~ para(X0,X1,sK25,sK26)
| para(sK25,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_16151,plain,
( ~ para(sK20,sK20,sK25,sK26)
| para(sK25,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16150]) ).
cnf(c_17921,plain,
( ~ midp(X0,sK26,sK26)
| cong(X0,sK26,X0,sK26) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_17924,plain,
( ~ midp(sK20,sK26,sK26)
| cong(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_17921]) ).
cnf(c_22211,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_27108,plain,
( ~ midp(X0,sK21,X1)
| cong(X0,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_28009,plain,
( ~ midp(X0,sK21,sK21)
| cong(X0,sK21,X0,sK21) ),
inference(instantiation,[status(thm)],[c_27108]) ).
cnf(c_28012,plain,
( ~ midp(sK20,sK21,sK21)
| cong(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_28009]) ).
cnf(c_30646,plain,
( ~ midp(X0,sK28,sK28)
| cong(X0,sK28,X0,sK28) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_30649,plain,
( ~ midp(sK20,sK28,sK28)
| cong(sK20,sK28,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_30646]) ).
cnf(c_31120,plain,
( ~ cyclic(sK26,X0,X1,X1)
| para(X1,sK26,X1,sK26) ),
inference(instantiation,[status(thm)],[c_22211]) ).
cnf(c_31121,plain,
( ~ cyclic(sK26,sK20,sK20,sK20)
| para(sK20,sK26,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_31120]) ).
cnf(c_31154,plain,
( ~ para(X0,X1,X0,X1)
| eqangle(X0,X1,X0,sK26,X0,X1,X0,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_31155,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_31154]) ).
cnf(c_39338,plain,
( ~ cyclic(X0,sK26,X1,X2)
| cyclic(sK26,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_39339,plain,
( ~ cyclic(sK20,sK26,sK20,sK20)
| cyclic(sK26,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39338]) ).
cnf(c_44365,plain,
( ~ eqangle(X0,X1,X0,sK26,X2,X1,X2,sK26)
| ~ coll(X0,X2,sK26)
| cyclic(X1,sK26,X0,X2) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_44368,plain,
( ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26)
| ~ coll(sK20,sK20,sK26)
| cyclic(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_44365]) ).
cnf(c_44369,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_44368,c_39339,c_31155,c_31121,c_30649,c_28012,c_17924,c_16151,c_15506,c_15277,c_15237,c_13282,c_8844,c_8510,c_6093,c_4860,c_4851,c_3860,c_3540,c_2960,c_2937,c_2923,c_2903,c_2715,c_2648,c_2639,c_2634,c_2626,c_2612,c_2428,c_2383,c_2377,c_2378,c_2374,c_235,c_202,c_181,c_177,c_163,c_165,c_167,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO616+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 01:06:10 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.45 Running first-order theorem proving
% 0.19/0.45 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
% 32.55/5.17 % SZS status Started for theBenchmark.p
% 32.55/5.17 % SZS status Theorem for theBenchmark.p
% 32.55/5.17
% 32.55/5.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 32.55/5.17
% 32.55/5.17 ------ iProver source info
% 32.55/5.17
% 32.55/5.17 git: date: 2024-05-02 19:28:25 +0000
% 32.55/5.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 32.55/5.17 git: non_committed_changes: false
% 32.55/5.17
% 32.55/5.17 ------ Parsing...
% 32.55/5.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 32.55/5.17
% 32.55/5.17 ------ Preprocessing...
% 32.55/5.17
% 32.55/5.17 ------ Preprocessing...
% 32.55/5.17
% 32.55/5.17 ------ Preprocessing...
% 32.55/5.17 ------ Proving...
% 32.55/5.17 ------ Problem Properties
% 32.55/5.17
% 32.55/5.17
% 32.55/5.17 clauses 122
% 32.55/5.17 conjectures 10
% 32.55/5.17 EPR 85
% 32.55/5.17 Horn 112
% 32.55/5.17 unary 10
% 32.55/5.17 binary 37
% 32.55/5.17 lits 338
% 32.55/5.17 lits eq 4
% 32.55/5.17 fd_pure 0
% 32.55/5.17 fd_pseudo 0
% 32.55/5.17 fd_cond 0
% 32.55/5.17 fd_pseudo_cond 4
% 32.55/5.17 AC symbols 0
% 32.55/5.17
% 32.55/5.17 ------ Input Options Time Limit: Unbounded
% 32.55/5.17
% 32.55/5.17
% 32.55/5.17 ------
% 32.55/5.17 Current options:
% 32.55/5.17 ------
% 32.55/5.17
% 32.55/5.17
% 32.55/5.17
% 32.55/5.17
% 32.55/5.17 ------ Proving...
% 32.55/5.17
% 32.55/5.17
% 32.55/5.17 % SZS status Theorem for theBenchmark.p
% 32.55/5.17
% 32.55/5.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.55/5.17
% 32.55/5.17
%------------------------------------------------------------------------------