TSTP Solution File: GEO573+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO573+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 23:11:50 EDT 2023
% Result : Theorem 24.32s 4.22s
% Output : CNFRefutation 24.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 25
% Syntax : Number of formulae : 269 ( 38 unt; 0 def)
% Number of atoms : 699 ( 0 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 739 ( 309 ~; 300 |; 93 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 694 ( 2 sgn; 445 !; 27 ?)
% 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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
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(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f53,axiom,
! [X0,X1,X2,X6] :
( ( midp(X6,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X6,X1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD52) ).
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(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X4,X18,X13,X19] :
( ( coll(X13,X1,X4)
& coll(X13,X2,X3)
& coll(X18,X2,X3)
& circle(X7,X2,X18,X19)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& circle(X7,X0,X1,X2) )
=> cong(X0,X18,X0,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214035) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X4,X18,X13,X19] :
( ( coll(X13,X1,X4)
& coll(X13,X2,X3)
& coll(X18,X2,X3)
& circle(X7,X2,X18,X19)
& coll(X4,X0,X2)
& perp(X4,X1,X0,X2)
& coll(X3,X0,X1)
& perp(X3,X2,X0,X1)
& circle(X7,X0,X1,X2) )
=> cong(X0,X18,X0,X13) ),
inference(negated_conjecture,[],[f95]) ).
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(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f132,plain,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
inference(rectify,[],[f53]) ).
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(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> cong(X0,X6,X0,X7) ),
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(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
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(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(flattening,[],[f242]) ).
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(f280,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f147]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f280]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X0,X6,X0,X7)
& coll(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X0,X6,X0,X7)
& coll(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) ),
inference(flattening,[],[f319]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X0,X6,X0,X7)
& coll(X7,X1,X5)
& coll(X7,X2,X4)
& coll(X6,X2,X4)
& circle(X3,X2,X6,X8)
& coll(X5,X0,X2)
& perp(X5,X1,X0,X2)
& coll(X4,X0,X1)
& perp(X4,X2,X0,X1)
& circle(X3,X0,X1,X2) )
=> ( ~ cong(sK20,sK26,sK20,sK27)
& coll(sK27,sK21,sK25)
& coll(sK27,sK22,sK24)
& coll(sK26,sK22,sK24)
& circle(sK23,sK22,sK26,sK28)
& coll(sK25,sK20,sK22)
& perp(sK25,sK21,sK20,sK22)
& coll(sK24,sK20,sK21)
& perp(sK24,sK22,sK20,sK21)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cong(sK20,sK26,sK20,sK27)
& coll(sK27,sK21,sK25)
& coll(sK27,sK22,sK24)
& coll(sK26,sK22,sK24)
& circle(sK23,sK22,sK26,sK28)
& coll(sK25,sK20,sK22)
& perp(sK25,sK21,sK20,sK22)
& coll(sK24,sK20,sK21)
& perp(sK24,sK22,sK20,sK21)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28])],[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(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
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(f404,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f412,plain,
! [X2,X3,X0,X1] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f243]) ).
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(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f281]) ).
fof(f475,plain,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
perp(sK25,sK21,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
coll(sK26,sK22,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f481,plain,
coll(sK27,sK21,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f482,plain,
~ cong(sK20,sK26,sK20,sK27),
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_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
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_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_101,plain,
( ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f412]) ).
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_123,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
cnf(c_162,negated_conjecture,
~ cong(sK20,sK26,sK20,sK27),
inference(cnf_transformation,[],[f482]) ).
cnf(c_163,negated_conjecture,
coll(sK27,sK21,sK25),
inference(cnf_transformation,[],[f481]) ).
cnf(c_165,negated_conjecture,
coll(sK26,sK22,sK24),
inference(cnf_transformation,[],[f479]) ).
cnf(c_167,negated_conjecture,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f477]) ).
cnf(c_168,negated_conjecture,
perp(sK25,sK21,sK20,sK22),
inference(cnf_transformation,[],[f476]) ).
cnf(c_169,negated_conjecture,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f475]) ).
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_180,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_186,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
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_6366,plain,
coll(sK27,sK25,sK21),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_6369,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_167,c_49]) ).
cnf(c_6370,plain,
coll(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_169,c_49]) ).
cnf(c_6379,plain,
coll(sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_169,c_50]) ).
cnf(c_6403,plain,
coll(sK20,sK21,sK24),
inference(superposition,[status(thm)],[c_6379,c_49]) ).
cnf(c_6465,plain,
perp(sK20,sK22,sK25,sK21),
inference(superposition,[status(thm)],[c_168,c_56]) ).
cnf(c_6586,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK24,X0,sK26) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_6588,plain,
( ~ coll(sK24,sK20,X0)
| coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_169,c_51]) ).
cnf(c_6589,plain,
( ~ coll(sK27,sK25,X0)
| coll(sK21,X0,sK27) ),
inference(superposition,[status(thm)],[c_6366,c_51]) ).
cnf(c_6592,plain,
( ~ coll(sK25,sK22,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_6369,c_51]) ).
cnf(c_6593,plain,
( ~ coll(sK24,sK21,X0)
| coll(sK20,X0,sK24) ),
inference(superposition,[status(thm)],[c_6370,c_51]) ).
cnf(c_6598,plain,
( ~ coll(sK20,sK24,X0)
| coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_6379,c_51]) ).
cnf(c_6608,plain,
( ~ coll(sK20,sK21,X0)
| coll(sK24,X0,sK20) ),
inference(superposition,[status(thm)],[c_6403,c_51]) ).
cnf(c_6754,plain,
coll(sK24,sK24,sK26),
inference(superposition,[status(thm)],[c_165,c_6586]) ).
cnf(c_6755,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK26,X0,sK24) ),
inference(superposition,[status(thm)],[c_6754,c_51]) ).
cnf(c_6775,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_169,c_6588]) ).
cnf(c_6776,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_6775,c_51]) ).
cnf(c_6797,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_6366,c_6589]) ).
cnf(c_6845,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_6797,c_51]) ).
cnf(c_6884,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_6369,c_6592]) ).
cnf(c_6887,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6884,c_49]) ).
cnf(c_6895,plain,
coll(sK20,sK20,sK24),
inference(superposition,[status(thm)],[c_6370,c_6593]) ).
cnf(c_6905,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_6908,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6905]) ).
cnf(c_6965,plain,
coll(sK20,sK24,sK20),
inference(superposition,[status(thm)],[c_6895,c_49]) ).
cnf(c_7012,plain,
coll(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_6379,c_6598]) ).
cnf(c_7097,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_6887,c_51]) ).
cnf(c_7103,plain,
( ~ coll(sK20,sK25,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7097]) ).
cnf(c_7328,plain,
( ~ perp(sK25,sK21,X0,X1)
| para(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6465,c_57]) ).
cnf(c_7436,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_6965,c_6598]) ).
cnf(c_7809,plain,
coll(sK24,sK24,sK21),
inference(superposition,[status(thm)],[c_6775,c_6776]) ).
cnf(c_7816,plain,
coll(sK26,sK21,sK24),
inference(superposition,[status(thm)],[c_7809,c_6755]) ).
cnf(c_8489,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_168,c_7328]) ).
cnf(c_8828,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_7436,c_50]) ).
cnf(c_9491,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK27)
| coll(sK27,X2,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_9736,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK26)
| coll(sK26,X2,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_9906,plain,
coll(sK26,sK24,sK21),
inference(superposition,[status(thm)],[c_7816,c_49]) ).
cnf(c_10133,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_6403,c_6608]) ).
cnf(c_10500,plain,
( ~ coll(X0,X1,sK21)
| coll(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_10501,plain,
( ~ coll(sK21,X0,X1)
| coll(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_14238,plain,
coll(sK26,sK20,sK24),
inference(superposition,[status(thm)],[c_10133,c_6755]) ).
cnf(c_14702,plain,
coll(sK26,sK24,sK20),
inference(superposition,[status(thm)],[c_14238,c_49]) ).
cnf(c_15026,plain,
( ~ coll(sK26,sK24,X0)
| coll(sK21,X0,sK26) ),
inference(superposition,[status(thm)],[c_9906,c_51]) ).
cnf(c_15032,plain,
( ~ coll(sK26,sK24,sK20)
| coll(sK21,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_15026]) ).
cnf(c_15164,plain,
coll(sK27,sK20,sK21),
inference(superposition,[status(thm)],[c_7012,c_6845]) ).
cnf(c_16072,plain,
coll(sK20,sK27,sK21),
inference(superposition,[status(thm)],[c_15164,c_50]) ).
cnf(c_16421,plain,
( ~ coll(sK27,X0,X1)
| ~ coll(sK27,X0,X2)
| coll(X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_16422,plain,
( ~ coll(sK27,sK20,sK20)
| coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_16421]) ).
cnf(c_16458,plain,
( ~ coll(X0,sK21,X1)
| ~ coll(X0,sK21,sK27)
| coll(sK27,X1,X0) ),
inference(instantiation,[status(thm)],[c_9491]) ).
cnf(c_16465,plain,
( ~ coll(X0,sK27,sK21)
| coll(X0,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_10500]) ).
cnf(c_16466,plain,
( ~ coll(sK20,sK21,sK20)
| ~ coll(sK20,sK21,sK27)
| coll(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16458]) ).
cnf(c_16467,plain,
( ~ coll(sK20,sK27,sK21)
| coll(sK20,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_16465]) ).
cnf(c_17196,plain,
( ~ coll(sK26,X0,X1)
| ~ coll(sK26,X0,X2)
| coll(X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_17197,plain,
( ~ coll(sK26,sK20,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_17196]) ).
cnf(c_17231,plain,
( ~ coll(X0,sK21,X1)
| ~ coll(X0,sK21,sK26)
| coll(sK26,X1,X0) ),
inference(instantiation,[status(thm)],[c_9736]) ).
cnf(c_17237,plain,
( ~ coll(sK21,X0,sK26)
| coll(X0,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_10501]) ).
cnf(c_17239,plain,
( ~ coll(sK20,sK21,sK20)
| ~ coll(sK20,sK21,sK26)
| coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17231]) ).
cnf(c_17241,plain,
( ~ coll(sK21,sK20,sK26)
| coll(sK20,sK21,sK26) ),
inference(instantiation,[status(thm)],[c_17237]) ).
cnf(c_20242,plain,
( ~ para(sK20,sK22,sK20,sK22)
| eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_20247,plain,
( ~ para(sK20,sK22,sK20,sK22)
| eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20242]) ).
cnf(c_41884,plain,
( ~ eqangle(sK20,sK22,sK20,X0,sK20,sK22,sK20,X0)
| ~ coll(sK20,sK20,X0)
| cyclic(sK22,X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_41886,plain,
( ~ eqangle(sK20,sK22,sK20,sK20,sK20,sK22,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK22,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_41884]) ).
cnf(c_82562,plain,
( ~ cyclic(sK22,X0,sK20,X1)
| ~ cyclic(sK22,X0,sK20,sK20)
| cyclic(X0,sK20,sK20,X1) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_82567,plain,
( ~ cyclic(sK22,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_82562]) ).
cnf(c_97754,plain,
( ~ cong(sK20,sK26,sK27,sK20)
| cong(sK20,sK26,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_103290,plain,
( ~ cong(sK27,sK20,sK20,sK26)
| cong(sK20,sK26,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_72]) ).
cnf(c_106712,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK27,X1,X3)
| para(X0,sK27,X2,X3) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_106713,plain,
( ~ midp(sK20,sK20,sK20)
| ~ midp(sK27,sK20,sK20)
| para(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_106712]) ).
cnf(c_107401,plain,
( ~ cong(X0,X1,X1,X1)
| ~ cong(X0,sK27,X1,sK27)
| perp(X0,X1,X1,sK27) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_107402,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK27,sK20,sK27)
| perp(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_107401]) ).
cnf(c_107782,plain,
( ~ eqangle(X0,X1,X0,X2,X3,sK20,X3,sK27)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,sK20)
| ~ cyclic(X1,X2,X0,sK27)
| cong(X1,X2,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_107824,plain,
( ~ eqangle(X0,sK20,X0,sK26,sK20,sK20,sK20,sK26)
| ~ coll(X0,sK20,sK26)
| cyclic(sK20,sK26,X0,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_107825,plain,
( ~ eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26)
| ~ coll(sK20,sK20,sK26)
| cyclic(sK20,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_107824]) ).
cnf(c_107848,plain,
( ~ cong(sK27,sK20,sK26,sK20)
| cong(sK27,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_107956,plain,
( ~ cyclic(sK20,sK26,X0,sK20)
| cyclic(sK20,X0,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_107957,plain,
( ~ cyclic(sK20,sK26,sK20,sK20)
| cyclic(sK20,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_107956]) ).
cnf(c_107971,plain,
( ~ cyclic(sK20,sK20,sK26,X0)
| cyclic(sK20,sK26,sK20,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_107986,plain,
( ~ cyclic(X0,sK26,sK20,X1)
| ~ cyclic(X0,sK26,sK20,sK20)
| cyclic(sK26,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_108155,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK26,sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_108167,plain,
( ~ cyclic(sK26,sK20,X0,X1)
| cyclic(sK20,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_108173,plain,
( ~ cong(sK27,X0,sK27,X1)
| ~ coll(sK27,X0,X1)
| midp(sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_108175,plain,
( ~ cong(sK27,sK20,sK27,sK20)
| ~ coll(sK27,sK20,sK20)
| midp(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_108173]) ).
cnf(c_108348,plain,
( ~ eqangle(X0,sK20,X0,sK27,sK20,sK20,sK20,sK27)
| ~ coll(X0,sK20,sK27)
| cyclic(sK20,sK27,X0,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_108349,plain,
( ~ eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27)
| ~ coll(sK20,sK20,sK27)
| cyclic(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_108348]) ).
cnf(c_108409,plain,
( ~ eqangle(sK26,X0,sK26,sK27,X1,X2,X3,X4)
| ~ perp(X1,X2,X3,X4)
| perp(sK26,X0,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_108634,plain,
( ~ cyclic(X0,X1,X2,sK27)
| cyclic(X0,X2,X1,sK27) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_108637,plain,
( ~ cyclic(X0,X1,sK27,X2)
| cyclic(X0,X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_108638,plain,
( ~ cyclic(sK20,sK20,sK27,sK20)
| cyclic(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_108637]) ).
cnf(c_108639,plain,
( ~ cyclic(X0,X1,X2,sK27)
| cyclic(X1,X0,X2,sK27) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_108640,plain,
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,sK27)
| cyclic(X1,X2,X3,sK27) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_108716,plain,
( ~ perp(sK27,sK26,sK26,X0)
| ~ midp(sK20,sK27,X0)
| cong(sK27,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_108717,plain,
( ~ perp(sK27,sK26,sK26,sK20)
| ~ midp(sK20,sK27,sK20)
| cong(sK27,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_108716]) ).
cnf(c_108812,plain,
( ~ para(X0,X1,X2,sK27)
| ~ para(X0,sK27,X2,X1)
| ~ midp(sK20,X0,X2)
| midp(sK20,sK27,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_108813,plain,
( ~ para(sK20,sK20,sK20,sK27)
| ~ para(sK20,sK27,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_108812]) ).
cnf(c_108815,plain,
( ~ cyclic(sK20,sK26,sK27,sK20)
| cyclic(sK20,sK27,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_107956]) ).
cnf(c_108822,plain,
( ~ cyclic(sK20,sK20,sK26,sK27)
| cyclic(sK20,sK26,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_107971]) ).
cnf(c_108986,plain,
( ~ cyclic(sK20,sK27,X0,sK20)
| cyclic(sK20,X0,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_108987,plain,
( ~ cyclic(sK20,sK27,sK20,sK20)
| cyclic(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_108986]) ).
cnf(c_109016,plain,
( ~ cyclic(sK20,sK27,X0,sK20)
| cyclic(sK27,sK20,X0,sK20) ),
inference(instantiation,[status(thm)],[c_64]) ).
cnf(c_109017,plain,
( ~ cyclic(sK20,sK27,sK20,sK20)
| cyclic(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_109016]) ).
cnf(c_109033,plain,
( ~ perp(sK26,X0,sK26,sK27)
| perp(sK26,X0,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_109034,plain,
( ~ perp(sK26,sK20,sK26,sK27)
| perp(sK26,sK20,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_109033]) ).
cnf(c_109580,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_109818,plain,
( ~ cyclic(X0,sK26,sK20,sK20)
| ~ cyclic(X0,sK26,sK20,sK27)
| cyclic(sK26,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_107986]) ).
cnf(c_109819,plain,
( ~ cyclic(sK20,sK26,sK20,sK20)
| ~ cyclic(sK20,sK26,sK20,sK27)
| cyclic(sK26,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_109818]) ).
cnf(c_109935,plain,
( ~ eqangle(X0,sK27,X0,X1,X2,sK27,X2,X3)
| ~ cyclic(sK27,X1,X0,X2)
| ~ cyclic(sK27,X1,X0,X3)
| ~ cyclic(sK27,X1,X0,sK27)
| cong(sK27,X1,sK27,X3) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_109936,plain,
( ~ eqangle(sK20,sK27,sK20,sK20,sK20,sK27,sK20,sK20)
| ~ cyclic(sK27,sK20,sK20,sK20)
| ~ cyclic(sK27,sK20,sK20,sK27)
| cong(sK27,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_109935]) ).
cnf(c_110201,plain,
( ~ perp(X0,sK20,X1,X2)
| ~ perp(X1,X2,X3,sK27)
| para(X0,sK20,X3,sK27) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_110202,plain,
( ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK27)
| para(sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_110201]) ).
cnf(c_110672,plain,
( ~ perp(X0,X1,X2,sK26)
| perp(X2,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_111206,plain,
( ~ eqangle(sK26,X0,sK26,sK27,X1,X0,X1,sK27)
| ~ perp(X1,X0,X1,sK27)
| perp(sK26,X0,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_108409]) ).
cnf(c_111207,plain,
( ~ cyclic(X0,sK27,sK26,X1)
| eqangle(sK26,X0,sK26,sK27,X1,X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_111208,plain,
( ~ eqangle(sK26,sK20,sK26,sK27,sK20,sK20,sK20,sK27)
| ~ perp(sK20,sK20,sK20,sK27)
| perp(sK26,sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_111206]) ).
cnf(c_111209,plain,
( ~ cyclic(sK20,sK27,sK26,sK20)
| eqangle(sK26,sK20,sK26,sK27,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_111207]) ).
cnf(c_111459,plain,
( ~ eqangle(X0,X1,X0,sK27,X0,sK20,X0,sK27)
| ~ cyclic(X1,sK27,X0,X0)
| ~ cyclic(X1,sK27,X0,sK20)
| ~ cyclic(X1,sK27,X0,sK27)
| cong(X1,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_107782]) ).
cnf(c_111461,plain,
( ~ eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27)
| ~ cyclic(sK20,sK27,sK20,sK20)
| ~ cyclic(sK20,sK27,sK20,sK27)
| cong(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_111459]) ).
cnf(c_111953,plain,
( ~ cyclic(X0,sK20,sK26,X1)
| cyclic(X0,sK20,X1,sK26) ),
inference(instantiation,[status(thm)],[c_62]) ).
cnf(c_111954,plain,
( ~ cyclic(sK20,sK20,sK26,sK20)
| cyclic(sK20,sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_111953]) ).
cnf(c_112093,plain,
( ~ cyclic(sK27,sK20,X0,X1)
| eqangle(X0,sK27,X0,sK20,X1,sK27,X1,sK20) ),
inference(instantiation,[status(thm)],[c_89]) ).
cnf(c_112094,plain,
( ~ cyclic(sK27,sK20,sK20,sK20)
| eqangle(sK20,sK27,sK20,sK20,sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_112093]) ).
cnf(c_112243,plain,
( ~ cyclic(X0,sK20,sK20,sK26)
| ~ cyclic(X0,sK20,sK20,sK27)
| cyclic(sK20,sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_108640]) ).
cnf(c_112244,plain,
( ~ cyclic(sK20,sK20,sK20,sK26)
| ~ cyclic(sK20,sK20,sK20,sK27)
| cyclic(sK20,sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_112243]) ).
cnf(c_112279,plain,
( ~ cyclic(sK26,sK20,sK27,X0)
| cyclic(sK20,sK26,sK27,X0) ),
inference(instantiation,[status(thm)],[c_108167]) ).
cnf(c_112282,plain,
( ~ cyclic(sK26,sK20,sK27,sK20)
| cyclic(sK20,sK26,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_112279]) ).
cnf(c_112576,plain,
( ~ cyclic(sK20,X0,sK27,sK27)
| cyclic(sK20,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_108634]) ).
cnf(c_112577,plain,
( ~ cyclic(sK20,sK20,sK27,sK27)
| cyclic(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_112576]) ).
cnf(c_118471,plain,
( ~ cyclic(sK20,sK27,X0,sK27)
| cyclic(sK27,sK20,X0,sK27) ),
inference(instantiation,[status(thm)],[c_108639]) ).
cnf(c_118472,plain,
( ~ cyclic(sK20,sK27,sK20,sK27)
| cyclic(sK27,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_118471]) ).
cnf(c_118500,plain,
( ~ cyclic(X0,X1,sK20,sK27)
| cyclic(X1,sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_108640]) ).
cnf(c_118501,plain,
( ~ cyclic(sK20,sK20,sK20,sK27)
| cyclic(sK20,sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_118500]) ).
cnf(c_119157,plain,
( ~ perp(sK26,X0,sK27,sK26)
| perp(sK27,sK26,sK26,X0) ),
inference(instantiation,[status(thm)],[c_110672]) ).
cnf(c_119158,plain,
( ~ perp(sK26,sK20,sK27,sK26)
| perp(sK27,sK26,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_119157]) ).
cnf(c_119159,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_119158,c_118501,c_118472,c_112577,c_112282,c_112244,c_112094,c_111954,c_111461,c_111209,c_111208,c_110202,c_109936,c_109819,c_109580,c_109034,c_109017,c_108987,c_108822,c_108815,c_108813,c_108717,c_108638,c_108349,c_108175,c_108155,c_107957,c_107848,c_107825,c_107402,c_106713,c_103290,c_97754,c_82567,c_41886,c_20247,c_17241,c_17239,c_17197,c_16467,c_16466,c_16422,c_16072,c_15032,c_14702,c_8828,c_8489,c_7103,c_6908,c_6887,c_235,c_186,c_180,c_177,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO573+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n027.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 22:20:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.32/4.22 % SZS status Started for theBenchmark.p
% 24.32/4.22 % SZS status Theorem for theBenchmark.p
% 24.32/4.22
% 24.32/4.22 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 24.32/4.22
% 24.32/4.22 ------ iProver source info
% 24.32/4.22
% 24.32/4.22 git: date: 2023-05-31 18:12:56 +0000
% 24.32/4.22 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 24.32/4.22 git: non_committed_changes: false
% 24.32/4.22 git: last_make_outside_of_git: false
% 24.32/4.22
% 24.32/4.22 ------ Parsing...
% 24.32/4.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 24.32/4.22
% 24.32/4.22 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 24.32/4.22
% 24.32/4.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 24.32/4.22
% 24.32/4.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 24.32/4.22 ------ Proving...
% 24.32/4.22 ------ Problem Properties
% 24.32/4.22
% 24.32/4.22
% 24.32/4.22 clauses 122
% 24.32/4.22 conjectures 10
% 24.32/4.22 EPR 85
% 24.32/4.22 Horn 112
% 24.32/4.22 unary 10
% 24.32/4.22 binary 37
% 24.32/4.22 lits 338
% 24.32/4.22 lits eq 4
% 24.32/4.22 fd_pure 0
% 24.32/4.22 fd_pseudo 0
% 24.32/4.22 fd_cond 0
% 24.32/4.22 fd_pseudo_cond 4
% 24.32/4.22 AC symbols 0
% 24.32/4.22
% 24.32/4.22 ------ Schedule dynamic 5 is on
% 24.32/4.22
% 24.32/4.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.32/4.22
% 24.32/4.22
% 24.32/4.22 ------
% 24.32/4.22 Current options:
% 24.32/4.22 ------
% 24.32/4.22
% 24.32/4.22
% 24.32/4.22
% 24.32/4.22
% 24.32/4.22 ------ Proving...
% 24.32/4.22
% 24.32/4.22
% 24.32/4.22 % SZS status Theorem for theBenchmark.p
% 24.32/4.22
% 24.32/4.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.32/4.23
% 24.32/4.23
%------------------------------------------------------------------------------