TSTP Solution File: GEO640+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO640+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n001.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 23:12:15 EDT 2023
% Result : Theorem 105.20s 14.84s
% Output : CNFRefutation 105.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 119 ( 11 unt; 0 def)
% Number of atoms : 472 ( 4 equ)
% Maximal formula atoms : 52 ( 3 avg)
% Number of connectives : 484 ( 131 ~; 125 |; 204 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 57 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 31 ( 31 usr; 30 con; 0-4 aty)
% Number of variables : 541 ( 2 sgn; 331 !; 94 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD41) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47] :
( ( circle(X32,X19,X37,X47)
& circle(X31,X22,X37,X46)
& circle(X31,X22,X36,X45)
& circle(X30,X20,X36,X44)
& circle(X30,X20,X35,X43)
& circle(X29,X18,X35,X42)
& circle(X29,X18,X34,X41)
& circle(X28,X21,X34,X40)
& circle(X32,X19,X33,X39)
& circle(X28,X21,X33,X38)
& circle(X32,X24,X19,X23)
& circle(X31,X24,X25,X22)
& circle(X30,X26,X25,X20)
& circle(X29,X27,X26,X18)
& circle(X28,X21,X23,X27)
& coll(X27,X20,X21)
& coll(X27,X18,X19)
& coll(X26,X18,X22)
& coll(X26,X20,X21)
& coll(X25,X18,X22)
& coll(X25,X19,X20)
& coll(X24,X21,X22)
& coll(X24,X19,X20)
& coll(X23,X21,X22)
& coll(X23,X18,X19) )
=> cyclic(X34,X35,X36,X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109106) ).
fof(f96,negated_conjecture,
~ ! [X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41,X42,X43,X44,X45,X46,X47] :
( ( circle(X32,X19,X37,X47)
& circle(X31,X22,X37,X46)
& circle(X31,X22,X36,X45)
& circle(X30,X20,X36,X44)
& circle(X30,X20,X35,X43)
& circle(X29,X18,X35,X42)
& circle(X29,X18,X34,X41)
& circle(X28,X21,X34,X40)
& circle(X32,X19,X33,X39)
& circle(X28,X21,X33,X38)
& circle(X32,X24,X19,X23)
& circle(X31,X24,X25,X22)
& circle(X30,X26,X25,X20)
& circle(X29,X27,X26,X18)
& circle(X28,X21,X23,X27)
& coll(X27,X20,X21)
& coll(X27,X18,X19)
& coll(X26,X18,X22)
& coll(X26,X20,X21)
& coll(X25,X18,X22)
& coll(X25,X19,X20)
& coll(X24,X21,X22)
& coll(X24,X19,X20)
& coll(X23,X21,X22)
& coll(X23,X18,X19) )
=> cyclic(X34,X35,X36,X37) ),
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(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(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(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1) )
=> cyclic(X16,X17,X18,X19) ),
inference(rectify,[],[f96]) ).
fof(f168,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
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(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(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(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(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(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,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ~ cyclic(X16,X17,X18,X19)
& circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ~ cyclic(X16,X17,X18,X19)
& circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1) ),
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,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ~ cyclic(X16,X17,X18,X19)
& circle(X14,X1,X19,X29)
& circle(X13,X4,X19,X28)
& circle(X13,X4,X18,X27)
& circle(X12,X2,X18,X26)
& circle(X12,X2,X17,X25)
& circle(X11,X0,X17,X24)
& circle(X11,X0,X16,X23)
& circle(X10,X3,X16,X22)
& circle(X14,X1,X15,X21)
& circle(X10,X3,X15,X20)
& circle(X14,X6,X1,X5)
& circle(X13,X6,X7,X4)
& circle(X12,X8,X7,X2)
& circle(X11,X9,X8,X0)
& circle(X10,X3,X5,X9)
& coll(X9,X2,X3)
& coll(X9,X0,X1)
& coll(X8,X0,X4)
& coll(X8,X2,X3)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X6,X3,X4)
& coll(X6,X1,X2)
& coll(X5,X3,X4)
& coll(X5,X0,X1) )
=> ( ~ cyclic(sK36,sK37,sK38,sK39)
& circle(sK34,sK21,sK39,sK49)
& circle(sK33,sK24,sK39,sK48)
& circle(sK33,sK24,sK38,sK47)
& circle(sK32,sK22,sK38,sK46)
& circle(sK32,sK22,sK37,sK45)
& circle(sK31,sK20,sK37,sK44)
& circle(sK31,sK20,sK36,sK43)
& circle(sK30,sK23,sK36,sK42)
& circle(sK34,sK21,sK35,sK41)
& circle(sK30,sK23,sK35,sK40)
& circle(sK34,sK26,sK21,sK25)
& circle(sK33,sK26,sK27,sK24)
& circle(sK32,sK28,sK27,sK22)
& circle(sK31,sK29,sK28,sK20)
& circle(sK30,sK23,sK25,sK29)
& coll(sK29,sK22,sK23)
& coll(sK29,sK20,sK21)
& coll(sK28,sK20,sK24)
& coll(sK28,sK22,sK23)
& coll(sK27,sK20,sK24)
& coll(sK27,sK21,sK22)
& coll(sK26,sK23,sK24)
& coll(sK26,sK21,sK22)
& coll(sK25,sK23,sK24)
& coll(sK25,sK20,sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ cyclic(sK36,sK37,sK38,sK39)
& circle(sK34,sK21,sK39,sK49)
& circle(sK33,sK24,sK39,sK48)
& circle(sK33,sK24,sK38,sK47)
& circle(sK32,sK22,sK38,sK46)
& circle(sK32,sK22,sK37,sK45)
& circle(sK31,sK20,sK37,sK44)
& circle(sK31,sK20,sK36,sK43)
& circle(sK30,sK23,sK36,sK42)
& circle(sK34,sK21,sK35,sK41)
& circle(sK30,sK23,sK35,sK40)
& circle(sK34,sK26,sK21,sK25)
& circle(sK33,sK26,sK27,sK24)
& circle(sK32,sK28,sK27,sK22)
& circle(sK31,sK29,sK28,sK20)
& circle(sK30,sK23,sK25,sK29)
& coll(sK29,sK22,sK23)
& coll(sK29,sK20,sK21)
& coll(sK28,sK20,sK24)
& coll(sK28,sK22,sK23)
& coll(sK27,sK20,sK24)
& coll(sK27,sK21,sK22)
& coll(sK26,sK23,sK24)
& coll(sK26,sK21,sK22)
& coll(sK25,sK23,sK24)
& coll(sK25,sK20,sK21) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49])],[f320,f358]) ).
fof(f360,plain,
! [X2,X0,X1] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f362,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
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(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(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(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(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(f481,plain,
coll(sK29,sK20,sK21),
inference(cnf_transformation,[],[f359]) ).
fof(f492,plain,
circle(sK31,sK20,sK37,sK44),
inference(cnf_transformation,[],[f359]) ).
fof(f498,plain,
~ cyclic(sK36,sK37,sK38,sK39),
inference(cnf_transformation,[],[f359]) ).
cnf(c_49,plain,
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f360]) ).
cnf(c_51,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f362]) ).
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_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_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_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_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,
~ cyclic(sK36,sK37,sK38,sK39),
inference(cnf_transformation,[],[f498]) ).
cnf(c_168,negated_conjecture,
circle(sK31,sK20,sK37,sK44),
inference(cnf_transformation,[],[f492]) ).
cnf(c_179,negated_conjecture,
coll(sK29,sK20,sK21),
inference(cnf_transformation,[],[f481]) ).
cnf(c_2872,plain,
( X0 != sK31
| X1 != sK20
| X2 != sK37
| X3 != sK44
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_168]) ).
cnf(c_2873,plain,
perp(sK11(sK20,sK37,sK44,sK31),sK20,sK20,sK31),
inference(unflattening,[status(thm)],[c_2872]) ).
cnf(c_10043,plain,
coll(sK29,sK21,sK20),
inference(superposition,[status(thm)],[c_179,c_49]) ).
cnf(c_10259,plain,
( ~ coll(sK29,sK21,X0)
| coll(sK20,X0,sK29) ),
inference(superposition,[status(thm)],[c_10043,c_51]) ).
cnf(c_10692,plain,
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
cnf(c_10695,plain,
( ~ cyclic(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10692]) ).
cnf(c_10887,plain,
coll(sK20,sK20,sK29),
inference(superposition,[status(thm)],[c_10043,c_10259]) ).
cnf(c_10891,plain,
coll(sK20,sK29,sK20),
inference(superposition,[status(thm)],[c_10887,c_49]) ).
cnf(c_11684,plain,
( ~ coll(sK20,sK29,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_10891,c_51]) ).
cnf(c_11689,plain,
( ~ coll(sK20,sK29,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11684]) ).
cnf(c_13243,plain,
( ~ perp(sK11(sK20,sK37,sK44,sK31),sK20,sK20,sK31)
| perp(sK20,sK31,sK11(sK20,sK37,sK44,sK31),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_68871,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X2,X3,X4,X5,X4,X5) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
cnf(c_105005,plain,
( ~ perp(sK11(X0,X1,X2,X3),X0,X4,X5)
| ~ perp(X0,X3,sK11(X0,X1,X2,X3),X0)
| para(X0,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_112689,plain,
( ~ perp(sK11(sK20,sK37,sK44,sK31),sK20,sK20,sK31)
| ~ perp(sK20,sK31,sK11(sK20,sK37,sK44,sK31),sK20)
| para(sK20,sK31,sK20,sK31) ),
inference(instantiation,[status(thm)],[c_105005]) ).
cnf(c_112897,plain,
( ~ para(sK20,sK31,sK20,sK31)
| eqangle(sK20,sK31,X0,X1,sK20,sK31,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_112903,plain,
( ~ para(sK20,sK31,sK20,sK31)
| eqangle(sK20,sK31,sK20,sK20,sK20,sK31,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_112897]) ).
cnf(c_141866,plain,
( ~ eqangle(sK20,sK31,sK20,X0,sK20,sK31,sK20,X0)
| ~ coll(sK20,sK20,X0)
| cyclic(sK31,X0,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
cnf(c_141867,plain,
( ~ eqangle(sK20,sK31,sK20,sK20,sK20,sK31,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK31,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_141866]) ).
cnf(c_159885,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X2,X1)
| cyclic(X1,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_68871,c_91]) ).
cnf(c_159886,plain,
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(superposition,[status(thm)],[c_68871,c_90]) ).
cnf(c_159906,plain,
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_159886,c_159885]) ).
cnf(c_161190,plain,
( ~ cyclic(sK31,X0,sK20,X1)
| ~ cyclic(sK31,X0,sK20,X2)
| cyclic(X0,sK20,X1,X2) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_161195,plain,
( ~ cyclic(sK31,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_161190]) ).
cnf(c_198343,plain,
( ~ cyclic(X0,sK36,sK37,sK38)
| ~ cyclic(X0,sK36,sK37,sK39)
| cyclic(sK36,sK37,sK38,sK39) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_198344,plain,
( ~ cyclic(sK20,sK36,sK37,sK38)
| ~ cyclic(sK20,sK36,sK37,sK39)
| cyclic(sK36,sK37,sK38,sK39) ),
inference(instantiation,[status(thm)],[c_198343]) ).
cnf(c_203154,plain,
( ~ cyclic(X0,X1,sK36,sK37)
| ~ cyclic(X0,X1,sK36,sK38)
| cyclic(X1,sK36,sK37,sK38) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_203155,plain,
( ~ cyclic(sK20,sK20,sK36,sK37)
| ~ cyclic(sK20,sK20,sK36,sK38)
| cyclic(sK20,sK36,sK37,sK38) ),
inference(instantiation,[status(thm)],[c_203154]) ).
cnf(c_213787,plain,
( ~ cyclic(X0,X1,X2,sK36)
| ~ cyclic(X0,X1,X2,sK37)
| cyclic(X1,X2,sK36,sK37) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_213788,plain,
( ~ cyclic(sK20,sK20,sK20,sK36)
| ~ cyclic(sK20,sK20,sK20,sK37)
| cyclic(sK20,sK20,sK36,sK37) ),
inference(instantiation,[status(thm)],[c_213787]) ).
cnf(c_284441,plain,
( ~ cyclic(X0,X1,sK36,sK37)
| ~ cyclic(X0,X1,sK36,sK39)
| cyclic(X1,sK36,sK37,sK39) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_284442,plain,
( ~ cyclic(sK20,sK20,sK36,sK37)
| ~ cyclic(sK20,sK20,sK36,sK39)
| cyclic(sK20,sK36,sK37,sK39) ),
inference(instantiation,[status(thm)],[c_284441]) ).
cnf(c_289228,plain,
( ~ cyclic(X0,X1,X2,sK36)
| ~ cyclic(X0,X1,X2,sK39)
| cyclic(X1,X2,sK36,sK39) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_289229,plain,
( ~ cyclic(sK20,sK20,sK20,sK36)
| ~ cyclic(sK20,sK20,sK20,sK39)
| cyclic(sK20,sK20,sK36,sK39) ),
inference(instantiation,[status(thm)],[c_289228]) ).
cnf(c_289459,plain,
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,sK39) ),
inference(instantiation,[status(thm)],[c_159906]) ).
cnf(c_289460,plain,
( ~ para(sK20,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK39) ),
inference(instantiation,[status(thm)],[c_289459]) ).
cnf(c_301312,plain,
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,sK38) ),
inference(instantiation,[status(thm)],[c_159906]) ).
cnf(c_301313,plain,
( ~ para(sK20,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK38) ),
inference(instantiation,[status(thm)],[c_301312]) ).
cnf(c_310213,plain,
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,sK36) ),
inference(instantiation,[status(thm)],[c_159906]) ).
cnf(c_310214,plain,
( ~ para(sK20,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK36) ),
inference(instantiation,[status(thm)],[c_310213]) ).
cnf(c_321271,plain,
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,sK37) ),
inference(instantiation,[status(thm)],[c_159906]) ).
cnf(c_321272,plain,
( ~ para(sK20,sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK37) ),
inference(instantiation,[status(thm)],[c_321271]) ).
cnf(c_356554,plain,
( ~ cyclic(X0,X1,X2,sK36)
| ~ cyclic(X0,X1,X2,sK38)
| cyclic(X1,X2,sK36,sK38) ),
inference(instantiation,[status(thm)],[c_65]) ).
cnf(c_356555,plain,
( ~ cyclic(sK20,sK20,sK20,sK36)
| ~ cyclic(sK20,sK20,sK20,sK38)
| cyclic(sK20,sK20,sK36,sK38) ),
inference(instantiation,[status(thm)],[c_356554]) ).
cnf(c_356556,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_356555,c_321272,c_310214,c_301313,c_289460,c_289229,c_284442,c_213788,c_203155,c_198344,c_161195,c_141867,c_112903,c_112689,c_13243,c_11689,c_10891,c_10695,c_2873,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO640+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 20:18:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 105.20/14.84 % SZS status Started for theBenchmark.p
% 105.20/14.84 % SZS status Theorem for theBenchmark.p
% 105.20/14.84
% 105.20/14.84 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 105.20/14.84
% 105.20/14.84 ------ iProver source info
% 105.20/14.84
% 105.20/14.84 git: date: 2023-05-31 18:12:56 +0000
% 105.20/14.84 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 105.20/14.84 git: non_committed_changes: false
% 105.20/14.84 git: last_make_outside_of_git: false
% 105.20/14.84
% 105.20/14.84 ------ Parsing...
% 105.20/14.84 ------ Clausification by vclausify_rel & Parsing by iProver...
% 105.20/14.84
% 105.20/14.84 ------ 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
% 105.20/14.84
% 105.20/14.84 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 105.20/14.84
% 105.20/14.84 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 105.20/14.84 ------ Proving...
% 105.20/14.84 ------ Problem Properties
% 105.20/14.84
% 105.20/14.84
% 105.20/14.84 clauses 138
% 105.20/14.84 conjectures 26
% 105.20/14.84 EPR 101
% 105.20/14.84 Horn 128
% 105.20/14.84 unary 26
% 105.20/14.84 binary 37
% 105.20/14.84 lits 354
% 105.20/14.84 lits eq 4
% 105.20/14.84 fd_pure 0
% 105.20/14.84 fd_pseudo 0
% 105.20/14.84 fd_cond 0
% 105.20/14.84 fd_pseudo_cond 4
% 105.20/14.84 AC symbols 0
% 105.20/14.84
% 105.20/14.84 ------ Schedule dynamic 5 is on
% 105.20/14.84
% 105.20/14.84 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 105.20/14.84
% 105.20/14.84
% 105.20/14.84 ------
% 105.20/14.84 Current options:
% 105.20/14.84 ------
% 105.20/14.84
% 105.20/14.84
% 105.20/14.84
% 105.20/14.84
% 105.20/14.84 ------ Proving...
% 105.20/14.84 Proof_search_loop: time out after: 13310 full_loop iterations
% 105.20/14.84
% 105.20/14.84 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 105.20/14.84
% 105.20/14.84
% 105.20/14.84 ------
% 105.20/14.84 Current options:
% 105.20/14.84 ------
% 105.20/14.84
% 105.20/14.84
% 105.20/14.84
% 105.20/14.84
% 105.20/14.84 ------ Proving...
% 105.20/14.84
% 105.20/14.84
% 105.20/14.84 % SZS status Theorem for theBenchmark.p
% 105.20/14.84
% 105.20/14.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 105.20/14.84
% 105.20/14.85
%------------------------------------------------------------------------------