TSTP Solution File: GEO295+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO295+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n016.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 23:10:55 EDT 2023
% Result : Theorem 218.26s 29.28s
% Output : CNFRefutation 218.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f928)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(negated_conjecture,[],[f1]) ).
fof(f5,axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(296))') ).
fof(f15,axiom,
? [X12] :
( rpoint(X12)
& vd1201 = X12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f16,axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(270))') ).
fof(f37,axiom,
? [X42] :
( rpoint(X42)
& vd1200 = X42 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s2(plural(271)))') ).
fof(f152,plain,
vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(flattening,[],[f2]) ).
fof(f154,plain,
? [X0] :
( rpoint(X0)
& vd1201 = X0 ),
inference(rectify,[],[f15]) ).
fof(f159,plain,
? [X0] :
( rpoint(X0)
& vd1200 = X0 ),
inference(rectify,[],[f37]) ).
fof(f483,plain,
( ? [X0] :
( rpoint(X0)
& vd1201 = X0 )
=> ( rpoint(sK1)
& vd1201 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f484,plain,
( rpoint(sK1)
& vd1201 = sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f154,f483]) ).
fof(f485,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
=> ( rpoint(sK2)
& vd1178 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f486,plain,
( ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
=> ( rpoint(sK3)
& vd1179 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f487,plain,
( ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
=> ( rpoint(sK4)
& vd1180 = sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f488,plain,
( ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
=> ( rpoint(sK5)
& vd1185 = sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f489,plain,
( ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
=> ( rpoint(sK6)
& vd1186 = sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f490,plain,
( ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
=> ( rpoint(sK7)
& vd1187 = sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f494,plain,
( ? [X0] :
( rpoint(X0)
& vd1200 = X0 )
=> ( rpoint(sK8)
& vd1200 = sK8 ) ),
introduced(choice_axiom,[]) ).
fof(f495,plain,
( rpoint(sK8)
& vd1200 = sK8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f159,f494]) ).
fof(f507,plain,
! [X0,X1] :
( ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) )
=> ( rcircle(sK13(X0,X1))
& rcenter(X0,sK13(X0,X1))
& ron(X1,sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f513,plain,
! [X0,X1] :
( ? [X2] :
( rline(X2)
& ron(X0,X2)
& ron(X1,X2) )
=> ( rline(sK15(X0,X1))
& ron(X0,sK15(X0,X1))
& ron(X1,sK15(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f605,plain,
vangle(vd1186,vd1185,vd1201) != vplus(vangle(vd1186,vd1185,vd1187),vangle(vd1187,vd1185,vd1201)),
inference(cnf_transformation,[],[f152]) ).
fof(f608,plain,
~ ron(vd1201,vd1232),
inference(cnf_transformation,[],[f5]) ).
fof(f620,plain,
vd1201 = sK1,
inference(cnf_transformation,[],[f484]) ).
fof(f621,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f484]) ).
fof(f622,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[],[f16]) ).
fof(f663,plain,
vd1200 = sK8,
inference(cnf_transformation,[],[f495]) ).
fof(f902,plain,
~ ron(sK1,vd1232),
inference(definition_unfolding,[],[f608,f620]) ).
cnf(c_49,negated_conjecture,
vplus(vangle(sK6,sK5,sK7),vangle(sK7,sK5,sK1)) != vangle(sK6,sK5,sK1),
inference(cnf_transformation,[],[f899]) ).
cnf(c_52,plain,
~ ron(sK1,vd1232),
inference(cnf_transformation,[],[f902]) ).
cnf(c_56,plain,
ron(sK1,vd1234),
inference(cnf_transformation,[],[f903]) ).
cnf(c_57,plain,
ron(sK5,vd1234),
inference(cnf_transformation,[],[f904]) ).
cnf(c_58,plain,
rline(vd1234),
inference(cnf_transformation,[],[f614]) ).
cnf(c_60,plain,
ron(sK5,vd1232),
inference(cnf_transformation,[],[f906]) ).
cnf(c_64,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f621]) ).
cnf(c_65,plain,
~ ron(sK7,vd1197),
inference(cnf_transformation,[],[f909]) ).
cnf(c_83,plain,
( ~ rS(X0,X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2) ),
inference(cnf_transformation,[],[f980]) ).
cnf(c_86,plain,
ron(sK6,vd1197),
inference(cnf_transformation,[],[f921]) ).
cnf(c_87,plain,
ron(sK5,vd1197),
inference(cnf_transformation,[],[f922]) ).
cnf(c_93,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f928]) ).
cnf(c_124,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| rcenter(X0,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f1043]) ).
cnf(c_125,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ron(X1,sK13(X0,X1)) ),
inference(cnf_transformation,[],[f1045]) ).
cnf(c_187,plain,
( ~ rS(X0,X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| rS(X1,X0,X2) ),
inference(cnf_transformation,[],[f1242]) ).
cnf(c_194,plain,
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f760]) ).
cnf(c_15155,plain,
X0 = X0,
theory(equality) ).
cnf(c_15161,plain,
( X0 != X1
| X2 != X3
| ~ ron(X1,X3)
| ron(X0,X2) ),
theory(equality) ).
cnf(c_15167,plain,
( X0 != X1
| ~ rinside(X1,X2)
| rinside(X0,X2) ),
theory(equality) ).
cnf(c_218283,plain,
( X0 != sK5
| X1 != vd1234
| ~ ron(sK5,vd1234)
| ron(X0,X1) ),
inference(instantiation,[status(thm)],[c_15161]) ).
cnf(c_218285,plain,
( X0 != sK5
| X1 != vd1232
| ~ ron(sK5,vd1232)
| ron(X0,X1) ),
inference(instantiation,[status(thm)],[c_15161]) ).
cnf(c_218287,plain,
( X0 != sK6
| X1 != vd1197
| ~ ron(sK6,vd1197)
| ron(X0,X1) ),
inference(instantiation,[status(thm)],[c_15161]) ).
cnf(c_222445,plain,
vd1234 = vd1234,
inference(instantiation,[status(thm)],[c_15155]) ).
cnf(c_223907,plain,
( ~ rpoint(X0)
| ~ rpoint(sK6)
| sK6 = X0
| ron(X0,sK13(sK6,X0)) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_223908,plain,
( ~ rpoint(X0)
| ~ rpoint(sK6)
| sK6 = X0
| rcenter(sK6,sK13(sK6,X0)) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_223915,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| sK6 = sK5
| rcenter(sK6,sK13(sK6,sK5)) ),
inference(instantiation,[status(thm)],[c_223908]) ).
cnf(c_223916,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| sK6 = sK5
| ron(sK5,sK13(sK6,sK5)) ),
inference(instantiation,[status(thm)],[c_223907]) ).
cnf(c_225542,plain,
( ~ rpoint(X0)
| ~ rpoint(sK1)
| sK1 = X0
| ron(X0,sK13(sK1,X0)) ),
inference(instantiation,[status(thm)],[c_125]) ).
cnf(c_225543,plain,
( ~ rpoint(X0)
| ~ rpoint(sK1)
| sK1 = X0
| rcenter(sK1,sK13(sK1,X0)) ),
inference(instantiation,[status(thm)],[c_124]) ).
cnf(c_225550,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK1)
| sK1 = sK5
| rcenter(sK1,sK13(sK1,sK5)) ),
inference(instantiation,[status(thm)],[c_225543]) ).
cnf(c_225551,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK1)
| sK1 = sK5
| ron(sK5,sK13(sK1,sK5)) ),
inference(instantiation,[status(thm)],[c_225542]) ).
cnf(c_234512,plain,
( sK6 != sK5
| vd1234 != vd1234
| ~ ron(sK5,vd1234)
| ron(sK6,vd1234) ),
inference(instantiation,[status(thm)],[c_218283]) ).
cnf(c_234756,plain,
( sK1 != sK5
| vd1232 != vd1232
| ~ ron(sK5,vd1232)
| ron(sK1,vd1232) ),
inference(instantiation,[status(thm)],[c_218285]) ).
cnf(c_234872,plain,
( sK6 != sK6
| vd1234 != vd1197
| ~ ron(sK6,vd1197)
| ron(sK6,vd1234) ),
inference(instantiation,[status(thm)],[c_218287]) ).
cnf(c_235007,plain,
vd1232 = vd1232,
inference(instantiation,[status(thm)],[c_15155]) ).
cnf(c_240853,plain,
sK6 = sK6,
inference(instantiation,[status(thm)],[c_15155]) ).
cnf(c_340932,plain,
( ~ rcenter(sK1,sK13(sK1,sK5))
| rinside(sK1,sK13(sK1,sK5)) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_352958,plain,
( X0 != sK1
| ~ rinside(sK1,sK13(sK1,sK5))
| rinside(X0,sK13(sK1,sK5)) ),
inference(instantiation,[status(thm)],[c_15167]) ).
cnf(c_352959,plain,
( sK5 != sK1
| ~ rinside(sK1,sK13(sK1,sK5))
| rinside(sK5,sK13(sK1,sK5)) ),
inference(instantiation,[status(thm)],[c_352958]) ).
cnf(c_368262,plain,
( ~ rcenter(sK6,sK13(sK6,sK5))
| rinside(sK6,sK13(sK6,sK5)) ),
inference(instantiation,[status(thm)],[c_194]) ).
cnf(c_376830,plain,
( X0 != sK6
| ~ rinside(sK6,sK13(sK6,sK5))
| rinside(X0,sK13(sK6,sK5)) ),
inference(instantiation,[status(thm)],[c_15167]) ).
cnf(c_376831,plain,
( sK5 != sK6
| ~ rinside(sK6,sK13(sK6,sK5))
| rinside(sK5,sK13(sK6,sK5)) ),
inference(instantiation,[status(thm)],[c_376830]) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X11] :
( rpoint(X11)
& X0 = X11 )
& ? [X10] :
( rpoint(X10)
& X1 = X10 )
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& ? [X8] :
( rpoint(X8)
& X3 = X8 )
& ? [X7] :
( rline(X7)
& X4 = X7 )
& ? [X6] :
( rline(X6)
& X5 = X6 )
& ron(X0,X4)
& ron(X0,X5)
& ron(X1,X4)
& ron(X2,X5)
& X0 != X1
& X0 != X2
& ~ ron(X3,X4)
& ~ ron(X3,X5)
& X4 != X5 )
=> ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof(f959,plain,
! [X10,X11,X8,X6,X9,X7] :
( rS(X7,X9,X11)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| ~ ron(X6,X10)
| ~ ron(X6,X11)
| ~ ron(X7,X10)
| ~ ron(X8,X11)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X11)
| X10 = X11 ),
inference(equality_resolution,[],[f958]) ).
fof(f43,axiom,
! [X66,X67,X68,X69] :
( ( ? [X73] :
( rpoint(X73)
& X66 = X73 )
& ? [X72] :
( rpoint(X72)
& X67 = X72 )
& ? [X71] :
( rcircle(X71)
& X68 = X71 )
& ? [X70] :
( rcircle(X70)
& X69 = X70 )
& ron(X66,X68)
& ( rinside(X67,X68)
| ron(X67,X68) )
& rinside(X66,X69)
& ~ ron(X67,X69)
& ~ rinside(X67,X69) )
=> rintersect(X68,X69) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(133), 0), imp(cond(axiom(133), 0)))') ).
fof(f1003,plain,
! [X6,X7,X4,X5] :
( rintersect(X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| ~ ron(X4,X6)
| ~ rinside(X5,X6)
| ~ rinside(X4,X7)
| ron(X5,X7)
| rinside(X5,X7) ),
inference(equality_resolution,[],[f1002]) ).
fof(f47,axiom,
! [X93,X94] :
( ( ? [X96] :
( rpoint(X96)
& X93 = X96 )
& ? [X95] :
( rpoint(X95)
& X94 = X95 )
& X93 != X94 )
=> ? [X97] :
( rcircle(X97)
& rcenter(X93,X97)
& ron(X94,X97) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f1043,plain,
! [X3,X4] :
( rcenter(X3,sK13(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1042]) ).
fof(f67,axiom,
! [X141,X142] :
( ( ? [X144] :
( rpoint(X144)
& X141 = X144 )
& ? [X143] :
( rpoint(X143)
& X142 = X143 )
& X141 != X142 )
=> ? [X145] :
( rline(X145)
& ron(X141,X145)
& ron(X142,X145) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f1080,plain,
! [X3,X4] :
( ron(X3,sK15(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1079]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& ? [X10] :
( rline(X10)
& X4 = X10 )
& ? [X11] :
( rline(X11)
& X5 = X11 )
& ron(X0,X4)
& ron(X0,X5)
& ron(X1,X4)
& ron(X2,X5)
& X0 != X1
& X0 != X2
& ~ ron(X3,X4)
& ~ ron(X3,X5)
& X4 != X5 )
=> ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) ) ),
inference(rectify,[],[f6]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& ? [X6] :
( rcircle(X6)
& X2 = X6 )
& ? [X7] :
( rcircle(X7)
& X3 = X7 )
& ron(X0,X2)
& ( rinside(X1,X2)
| ron(X1,X2) )
& rinside(X0,X3)
& ~ ron(X1,X3)
& ~ rinside(X1,X3) )
=> rintersect(X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f169,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) ) ),
inference(rectify,[],[f47]) ).
fof(f181,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) ) ),
inference(rectify,[],[f67]) ).
fof(f268,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rline(X10)
| X4 != X10 )
| ! [X11] :
( ~ rline(X11)
| X5 != X11 )
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(ennf_transformation,[],[f153]) ).
fof(f269,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rline(X10)
| X4 != X10 )
| ! [X11] :
( ~ rline(X11)
| X5 != X11 )
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(flattening,[],[f268]) ).
fof(f285,plain,
! [X0,X1,X2,X3] :
( rintersect(X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rcircle(X6)
| X2 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(ennf_transformation,[],[f165]) ).
fof(f286,plain,
! [X0,X1,X2,X3] :
( rintersect(X2,X3)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ! [X6] :
( ~ rcircle(X6)
| X2 != X6 )
| ! [X7] :
( ~ rcircle(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ( ~ rinside(X1,X2)
& ~ ron(X1,X2) )
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(flattening,[],[f285]) ).
fof(f293,plain,
! [X0,X1] :
( ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f169]) ).
fof(f294,plain,
! [X0,X1] :
( ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f293]) ).
fof(f323,plain,
! [X0,X1] :
( ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f181]) ).
fof(f324,plain,
! [X0,X1] :
( ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f323]) ).
fof(f481,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X1,X3,X5)
| ~ rS(X2,X3,X4) )
& ( ( rS(X1,X3,X5)
& rS(X2,X3,X4) )
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2)) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rline(X10)
| X4 != X10 )
| ! [X11] :
( ~ rline(X11)
| X5 != X11 )
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(nnf_transformation,[],[f269]) ).
fof(f482,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X1,X3,X5)
| ~ rS(X2,X3,X4) )
& ( ( rS(X1,X3,X5)
& rS(X2,X3,X4) )
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2)) ) )
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rline(X10)
| X4 != X10 )
| ! [X11] :
( ~ rline(X11)
| X5 != X11 )
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(flattening,[],[f481]) ).
fof(f506,plain,
! [X0,X1] :
( ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(rectify,[],[f294]) ).
fof(f508,plain,
! [X0,X1] :
( ( rcircle(sK13(X0,X1))
& rcenter(X0,sK13(X0,X1))
& ron(X1,sK13(X0,X1)) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f506,f507]) ).
fof(f512,plain,
! [X0,X1] :
( ? [X2] :
( rline(X2)
& ron(X0,X2)
& ron(X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(rectify,[],[f324]) ).
fof(f514,plain,
! [X0,X1] :
( ( rline(sK15(X0,X1))
& ron(X0,sK15(X0,X1))
& ron(X1,sK15(X0,X1)) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| X0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f512,f513]) ).
fof(f609,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( rS(X2,X3,X4)
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(cnf_transformation,[],[f482]) ).
fof(f610,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( rS(X1,X3,X5)
| vangle(X1,X0,X2) != vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(cnf_transformation,[],[f482]) ).
fof(f611,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
| ~ rS(X1,X3,X5)
| ~ rS(X2,X3,X4)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X0 = X1
| X0 = X2
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(cnf_transformation,[],[f482]) ).
fof(f674,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(cnf_transformation,[],[f286]) ).
fof(f675,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ rinside(X1,X2)
| ~ rinside(X0,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(cnf_transformation,[],[f286]) ).
fof(f689,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK13(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f508]) ).
fof(f690,plain,
! [X3,X0,X1,X4] :
( rcircle(sK13(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f508]) ).
fof(f711,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK15(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f514]) ).
fof(f712,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK15(X0,X1))
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| X0 = X1 ),
inference(cnf_transformation,[],[f514]) ).
fof(f948,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vangle(X1,X6,X2) = vplus(vangle(X1,X6,X3),vangle(X3,X6,X2))
| ~ rS(X1,X3,X5)
| ~ rS(X2,X3,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X1 = X6
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f611]) ).
fof(f949,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X7,X6,X2) = vplus(vangle(X7,X6,X3),vangle(X3,X6,X2))
| ~ rS(X7,X3,X5)
| ~ rS(X2,X3,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X2,X5)
| X6 = X7
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f948]) ).
fof(f950,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X7,X6,X8) = vplus(vangle(X7,X6,X3),vangle(X3,X6,X8))
| ~ rS(X7,X3,X5)
| ~ rS(X8,X3,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f949]) ).
fof(f951,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vangle(X7,X6,X8) = vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rS(X7,X9,X5)
| ~ rS(X8,X9,X4)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X4)
| ron(X9,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f950]) ).
fof(f952,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vangle(X7,X6,X8) = vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rS(X7,X9,X5)
| ~ rS(X8,X9,X10)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X10)
| ~ ron(X6,X5)
| ~ ron(X7,X10)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X5)
| X5 = X10 ),
inference(equality_resolution,[],[f951]) ).
fof(f953,plain,
! [X10,X11,X8,X6,X9,X7] :
( vangle(X7,X6,X8) = vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rS(X7,X9,X11)
| ~ rS(X8,X9,X10)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| ~ ron(X6,X10)
| ~ ron(X6,X11)
| ~ ron(X7,X10)
| ~ ron(X8,X11)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X11)
| X10 = X11 ),
inference(equality_resolution,[],[f952]) ).
fof(f954,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( rS(X1,X3,X5)
| vangle(X1,X6,X2) != vplus(vangle(X1,X6,X3),vangle(X3,X6,X2))
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X1 = X6
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f610]) ).
fof(f955,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X7,X3,X5)
| vangle(X7,X6,X2) != vplus(vangle(X7,X6,X3),vangle(X3,X6,X2))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X2,X5)
| X6 = X7
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f954]) ).
fof(f956,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X7,X3,X5)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X3),vangle(X3,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f955]) ).
fof(f957,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X7,X9,X5)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X4)
| ron(X9,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f956]) ).
fof(f958,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( rS(X7,X9,X5)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X10)
| ~ ron(X6,X5)
| ~ ron(X7,X10)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X5)
| X5 = X10 ),
inference(equality_resolution,[],[f957]) ).
fof(f960,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( rS(X2,X3,X4)
| vangle(X1,X6,X2) != vplus(vangle(X1,X6,X3),vangle(X3,X6,X2))
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X1,X4)
| ~ ron(X2,X5)
| X1 = X6
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f609]) ).
fof(f961,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X2,X3,X4)
| vangle(X7,X6,X2) != vplus(vangle(X7,X6,X3),vangle(X3,X6,X2))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X2,X5)
| X6 = X7
| X2 = X6
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f960]) ).
fof(f962,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X8,X3,X4)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X3),vangle(X3,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X3 != X9
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X3,X4)
| ron(X3,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f961]) ).
fof(f963,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( rS(X8,X9,X4)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| X4 != X10
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X4)
| ron(X9,X5)
| X4 = X5 ),
inference(equality_resolution,[],[f962]) ).
fof(f964,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( rS(X8,X9,X10)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| X5 != X11
| ~ ron(X6,X10)
| ~ ron(X6,X5)
| ~ ron(X7,X10)
| ~ ron(X8,X5)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X5)
| X5 = X10 ),
inference(equality_resolution,[],[f963]) ).
fof(f7,axiom,
ron(vd1201,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(294)), 0)') ).
fof(f965,plain,
! [X10,X11,X8,X6,X9,X7] :
( rS(X8,X9,X10)
| vangle(X7,X6,X8) != vplus(vangle(X7,X6,X9),vangle(X9,X6,X8))
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rline(X10)
| ~ rline(X11)
| ~ ron(X6,X10)
| ~ ron(X6,X11)
| ~ ron(X7,X10)
| ~ ron(X8,X11)
| X6 = X7
| X6 = X8
| ron(X9,X10)
| ron(X9,X11)
| X10 = X11 ),
inference(equality_resolution,[],[f964]) ).
fof(f612,plain,
ron(vd1201,vd1234),
inference(cnf_transformation,[],[f7]) ).
fof(f8,axiom,
ron(vd1185,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(294)), 0)') ).
fof(f903,plain,
ron(sK1,vd1234),
inference(definition_unfolding,[],[f612,f620]) ).
fof(f613,plain,
ron(vd1185,vd1234),
inference(cnf_transformation,[],[f8]) ).
fof(f1000,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ rinside(X1,X2)
| ~ rinside(X4,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(equality_resolution,[],[f675]) ).
fof(f1001,plain,
! [X2,X3,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ rinside(X5,X2)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1000]) ).
fof(f1002,plain,
! [X3,X6,X7,X4,X5] :
( rintersect(X6,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ rinside(X5,X6)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1001]) ).
fof(f1004,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X1,X2)
| ~ rinside(X4,X3)
| ron(X1,X3)
| rinside(X1,X3) ),
inference(equality_resolution,[],[f674]) ).
fof(f1005,plain,
! [X2,X3,X6,X7,X4,X5] :
( rintersect(X2,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| X2 != X6
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X5,X2)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1004]) ).
fof(f1006,plain,
! [X3,X6,X7,X4,X5] :
( rintersect(X6,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ ron(X5,X6)
| ~ rinside(X4,X3)
| ron(X5,X3)
| rinside(X5,X3) ),
inference(equality_resolution,[],[f1005]) ).
fof(f44,axiom,
! [X74,X75,X76,X77] :
( ( rpoint(X75)
& X74 = X75
& rcircle(X77)
& X76 = X77
& rinside(X74,X76) )
=> ~ ron(X74,X76) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof(f1007,plain,
! [X6,X7,X4,X5] :
( rintersect(X6,X7)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rcircle(X6)
| ~ rcircle(X7)
| ~ ron(X4,X6)
| ~ ron(X5,X6)
| ~ rinside(X4,X7)
| ron(X5,X7)
| rinside(X5,X7) ),
inference(equality_resolution,[],[f1006]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rinside(X0,X2) )
=> ~ ron(X0,X2) ),
inference(rectify,[],[f44]) ).
fof(f287,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(ennf_transformation,[],[f166]) ).
fof(f288,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(flattening,[],[f287]) ).
fof(f676,plain,
! [X2,X3,X0,X1] :
( ~ ron(X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2) ),
inference(cnf_transformation,[],[f288]) ).
fof(f1008,plain,
! [X2,X3,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X1)
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X1,X2) ),
inference(equality_resolution,[],[f676]) ).
fof(f1009,plain,
! [X3,X1] :
( ~ ron(X1,X3)
| ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rinside(X1,X3) ),
inference(equality_resolution,[],[f1008]) ).
fof(f1040,plain,
! [X3,X1,X4] :
( rcircle(sK13(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f690]) ).
fof(f1041,plain,
! [X3,X4] :
( rcircle(sK13(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1040]) ).
fof(f1042,plain,
! [X3,X1,X4] :
( rcenter(X3,sK13(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f689]) ).
fof(f1079,plain,
! [X3,X1,X4] :
( ron(X3,sK15(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f712]) ).
fof(f1081,plain,
! [X3,X1,X4] :
( ron(X1,sK15(X3,X1))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| X1 = X3 ),
inference(equality_resolution,[],[f711]) ).
fof(f68,axiom,
rS(vd1187,vd1201,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(295, 1236, 0)') ).
fof(f1082,plain,
! [X3,X4] :
( ron(X4,sK15(X3,X4))
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 = X4 ),
inference(equality_resolution,[],[f1081]) ).
fof(f18,axiom,
( ? [X19] :
( rpoint(X19)
& vd1178 = X19 )
& ? [X18] :
( rpoint(X18)
& vd1179 = X18 )
& ? [X17] :
( rpoint(X17)
& vd1180 = X17 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X16] :
( rpoint(X16)
& vd1185 = X16 )
& ? [X15] :
( rpoint(X15)
& vd1186 = X15 )
& ? [X14] :
( rpoint(X14)
& vd1187 = X14 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
& ~ ? [X13] :
( rline(X13)
& ron(vd1185,X13)
& ron(vd1186,X13)
& ron(vd1187,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f714,plain,
rS(vd1187,vd1201,vd1197),
inference(cnf_transformation,[],[f68]) ).
fof(f155,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
& ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
& ~ ? [X6] :
( rline(X6)
& ron(vd1185,X6)
& ron(vd1186,X6)
& ron(vd1187,X6) ) ),
inference(rectify,[],[f18]) ).
fof(f270,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
& ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
& ! [X6] :
( ~ rline(X6)
| ~ ron(vd1185,X6)
| ~ ron(vd1186,X6)
| ~ ron(vd1187,X6) ) ),
inference(ennf_transformation,[],[f155]) ).
fof(f491,plain,
( rpoint(sK2)
& vd1178 = sK2
& rpoint(sK3)
& vd1179 = sK3
& rpoint(sK4)
& vd1180 = sK4
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(sK5)
& vd1185 = sK5
& rpoint(sK6)
& vd1186 = sK6
& rpoint(sK7)
& vd1187 = sK7
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1186,vd1185,vd1187) = vangle(vd1179,vd1178,vd1180)
& ! [X6] :
( ~ rline(X6)
| ~ ron(vd1185,X6)
| ~ ron(vd1186,X6)
| ~ ron(vd1187,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7])],[f270,f490,f489,f488,f487,f486,f485]) ).
fof(f628,plain,
vd1187 = sK7,
inference(cnf_transformation,[],[f491]) ).
fof(f17,axiom,
rline(vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(269, 0)') ).
fof(f909,plain,
~ ron(sK7,vd1197),
inference(definition_unfolding,[],[f622,f628]) ).
fof(f623,plain,
rline(vd1197),
inference(cnf_transformation,[],[f17]) ).
fof(f629,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f491]) ).
fof(f630,plain,
vd1186 = sK6,
inference(cnf_transformation,[],[f491]) ).
fof(f631,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f491]) ).
fof(f632,plain,
vd1185 = sK5,
inference(cnf_transformation,[],[f491]) ).
fof(f3,axiom,
rS(vd1200,vd1187,vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(306, 1242, 0)') ).
fof(f899,plain,
vangle(sK6,sK5,sK1) != vplus(vangle(sK6,sK5,sK7),vangle(sK7,sK5,sK1)),
inference(definition_unfolding,[],[f605,f630,f632,f620,f630,f632,f628,f628,f632,f620]) ).
fof(f9,axiom,
rline(vd1234),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(294, 0)') ).
fof(f904,plain,
ron(sK5,vd1234),
inference(definition_unfolding,[],[f613,f632]) ).
fof(f10,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).
fof(f614,plain,
rline(vd1234),
inference(cnf_transformation,[],[f9]) ).
fof(f606,plain,
rS(vd1200,vd1187,vd1234),
inference(cnf_transformation,[],[f3]) ).
fof(f615,plain,
ron(vd1187,vd1232),
inference(cnf_transformation,[],[f10]) ).
fof(f11,axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).
fof(f905,plain,
ron(sK7,vd1232),
inference(definition_unfolding,[],[f615,f628]) ).
fof(f616,plain,
ron(vd1185,vd1232),
inference(cnf_transformation,[],[f11]) ).
fof(f12,axiom,
rline(vd1232),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(293, 0)') ).
fof(f906,plain,
ron(sK5,vd1232),
inference(definition_unfolding,[],[f616,f632]) ).
fof(f13,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).
fof(f617,plain,
rline(vd1232),
inference(cnf_transformation,[],[f12]) ).
fof(f618,plain,
ron(vd1185,vd1197),
inference(cnf_transformation,[],[f13]) ).
fof(f14,axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(f907,plain,
ron(sK5,vd1197),
inference(definition_unfolding,[],[f618,f632]) ).
fof(f619,plain,
rS(vd1201,vd1187,vd1197),
inference(cnf_transformation,[],[f14]) ).
fof(f633,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f491]) ).
fof(f900,plain,
rS(sK8,sK7,vd1234),
inference(definition_unfolding,[],[f606,f663,f628]) ).
fof(f908,plain,
rS(sK1,sK7,vd1197),
inference(definition_unfolding,[],[f619,f620,f628]) ).
cnf(c_50,plain,
rS(sK8,sK7,vd1234),
inference(cnf_transformation,[],[f900]) ).
cnf(c_53,plain,
( ~ rS(X0,X1,X2)
| ~ rS(X3,X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,X2)
| ~ ron(X5,X2)
| ~ ron(X5,X4)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X2)
| ~ rline(X4)
| vplus(vangle(X0,X5,X1),vangle(X1,X5,X3)) = vangle(X0,X5,X3)
| X0 = X5
| X2 = X4
| X3 = X5
| ron(X1,X2)
| ron(X1,X4) ),
inference(cnf_transformation,[],[f953]) ).
cnf(c_63,plain,
rS(sK1,sK7,vd1197),
inference(cnf_transformation,[],[f908]) ).
cnf(c_66,plain,
rline(vd1197),
inference(cnf_transformation,[],[f623]) ).
cnf(c_73,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f633]) ).
cnf(c_74,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f631]) ).
cnf(c_75,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f629]) ).
cnf(c_111,plain,
( ~ ron(X0,X1)
| ~ rinside(X0,X1)
| ~ rpoint(X0)
| ~ rcircle(X1) ),
inference(cnf_transformation,[],[f1009]) ).
cnf(c_123,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| rcircle(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f1041]) ).
cnf(c_3527,plain,
rS(sK6,sK7,vd1234),
inference(light_normalisation,[status(thm)],[c_50,c_93]) ).
cnf(c_22146,plain,
( ~ rS(X0,sK7,X1)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(X2,vd1234)
| ~ ron(sK6,X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rline(X1)
| ~ rpoint(sK6)
| ~ rpoint(sK7)
| ~ rline(vd1234)
| vplus(vangle(sK6,X2,sK7),vangle(sK7,X2,X0)) = vangle(sK6,X2,X0)
| X0 = X2
| X1 = vd1234
| X2 = sK6
| ron(sK7,X1)
| ron(sK7,vd1234) ),
inference(superposition,[status(thm)],[c_3527,c_53]) ).
cnf(c_22147,plain,
( ~ rS(X0,sK7,X1)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(X2,vd1234)
| ~ ron(sK6,X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rline(X1)
| vplus(vangle(sK6,X2,sK7),vangle(sK7,X2,X0)) = vangle(sK6,X2,X0)
| X0 = X2
| X1 = vd1234
| X2 = sK6
| ron(sK7,X1)
| ron(sK7,vd1234) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22146,c_58,c_75,c_74]) ).
cnf(c_26488,plain,
( ~ ron(sK6,vd1234)
| ~ rpoint(sK6)
| ~ rpoint(sK7)
| ~ rline(vd1234) ),
inference(superposition,[status(thm)],[c_3527,c_83]) ).
cnf(c_26489,plain,
~ ron(sK6,vd1234),
inference(forward_subsumption_resolution,[status(thm)],[c_26488,c_58,c_75,c_74]) ).
cnf(c_26737,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK7)
| ~ rline(vd1234)
| rS(sK7,sK6,vd1234) ),
inference(superposition,[status(thm)],[c_3527,c_187]) ).
cnf(c_26738,plain,
rS(sK7,sK6,vd1234),
inference(forward_subsumption_resolution,[status(thm)],[c_26737,c_58,c_75,c_74]) ).
cnf(c_26971,plain,
( ~ ron(sK7,vd1234)
| ~ rpoint(sK6)
| ~ rpoint(sK7)
| ~ rline(vd1234) ),
inference(superposition,[status(thm)],[c_26738,c_83]) ).
cnf(c_26973,plain,
~ ron(sK7,vd1234),
inference(forward_subsumption_resolution,[status(thm)],[c_26971,c_58,c_75,c_74]) ).
cnf(c_223910,plain,
( ~ rpoint(X0)
| ~ rpoint(sK6)
| sK6 = X0
| rcircle(sK13(sK6,X0)) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_223913,plain,
( ~ rpoint(sK6)
| ~ rpoint(sK5)
| sK6 = sK5
| rcircle(sK13(sK6,sK5)) ),
inference(instantiation,[status(thm)],[c_223910]) ).
cnf(c_225545,plain,
( ~ rpoint(X0)
| ~ rpoint(sK1)
| sK1 = X0
| rcircle(sK13(sK1,X0)) ),
inference(instantiation,[status(thm)],[c_123]) ).
cnf(c_225548,plain,
( ~ rpoint(sK5)
| ~ rpoint(sK1)
| sK1 = sK5
| rcircle(sK13(sK1,sK5)) ),
inference(instantiation,[status(thm)],[c_225545]) ).
cnf(c_392693,plain,
( ~ ron(X0,sK13(sK6,sK5))
| ~ rinside(X0,sK13(sK6,sK5))
| ~ rcircle(sK13(sK6,sK5))
| ~ rpoint(X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_392694,plain,
( ~ ron(sK5,sK13(sK6,sK5))
| ~ rinside(sK5,sK13(sK6,sK5))
| ~ rcircle(sK13(sK6,sK5))
| ~ rpoint(sK5) ),
inference(instantiation,[status(thm)],[c_392693]) ).
cnf(c_392697,plain,
( ~ ron(X0,sK13(sK1,sK5))
| ~ rinside(X0,sK13(sK1,sK5))
| ~ rcircle(sK13(sK1,sK5))
| ~ rpoint(X0) ),
inference(instantiation,[status(thm)],[c_111]) ).
cnf(c_392698,plain,
( ~ ron(sK5,sK13(sK1,sK5))
| ~ rinside(sK5,sK13(sK1,sK5))
| ~ rcircle(sK13(sK1,sK5))
| ~ rpoint(sK5) ),
inference(instantiation,[status(thm)],[c_392697]) ).
cnf(c_643829,plain,
( ~ rS(X0,sK7,X1)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(X2,vd1234)
| ~ ron(sK6,X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rline(X1)
| ~ rpoint(sK6)
| ~ rpoint(sK7)
| ~ rline(vd1234)
| vplus(vangle(sK6,X2,sK7),vangle(sK7,X2,X0)) = vangle(sK6,X2,X0)
| X0 = X2
| X1 = vd1234
| X2 = sK6
| ron(sK7,X1)
| ron(sK7,vd1234) ),
inference(superposition,[status(thm)],[c_3527,c_53]) ).
cnf(c_643831,plain,
( ~ rS(X0,sK7,X1)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(X2,vd1234)
| ~ ron(sK6,X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rline(X1)
| vplus(vangle(sK6,X2,sK7),vangle(sK7,X2,X0)) = vangle(sK6,X2,X0)
| X0 = X2
| X1 = vd1234
| X2 = sK6
| ron(sK7,X1)
| ron(sK7,vd1234) ),
inference(forward_subsumption_resolution,[status(thm)],[c_643829,c_58,c_75,c_74]) ).
cnf(c_706093,plain,
( ron(sK7,X1)
| X2 = sK6
| X1 = vd1234
| X0 = X2
| vplus(vangle(sK6,X2,sK7),vangle(sK7,X2,X0)) = vangle(sK6,X2,X0)
| ~ rline(X1)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ ron(sK6,X1)
| ~ ron(X2,vd1234)
| ~ ron(X0,vd1234)
| ~ ron(X2,X1)
| ~ rS(X0,sK7,X1) ),
inference(global_subsumption_just,[status(thm)],[c_643831,c_22147,c_26973]) ).
cnf(c_706094,plain,
( ~ rS(X0,sK7,X1)
| ~ ron(X2,X1)
| ~ ron(X0,vd1234)
| ~ ron(X2,vd1234)
| ~ ron(sK6,X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rline(X1)
| vplus(vangle(sK6,X2,sK7),vangle(sK7,X2,X0)) = vangle(sK6,X2,X0)
| X0 = X2
| X1 = vd1234
| X2 = sK6
| ron(sK7,X1) ),
inference(renaming,[status(thm)],[c_706093]) ).
cnf(c_706121,plain,
( ~ ron(X0,vd1234)
| ~ ron(X0,vd1197)
| ~ ron(sK6,vd1197)
| ~ ron(sK1,vd1234)
| ~ rpoint(X0)
| ~ rpoint(sK1)
| ~ rline(vd1197)
| vplus(vangle(sK6,X0,sK7),vangle(sK7,X0,sK1)) = vangle(sK6,X0,sK1)
| X0 = sK6
| X0 = sK1
| vd1234 = vd1197
| ron(sK7,vd1197) ),
inference(superposition,[status(thm)],[c_63,c_706094]) ).
cnf(c_706131,plain,
( ~ ron(X0,vd1234)
| ~ ron(X0,vd1197)
| ~ rpoint(X0)
| vplus(vangle(sK6,X0,sK7),vangle(sK7,X0,sK1)) = vangle(sK6,X0,sK1)
| X0 = sK6
| X0 = sK1
| vd1234 = vd1197 ),
inference(forward_subsumption_resolution,[status(thm)],[c_706121,c_65,c_66,c_64,c_56,c_86]) ).
cnf(c_706251,plain,
( ~ ron(sK5,vd1234)
| ~ ron(sK5,vd1197)
| ~ rpoint(sK5)
| vplus(vangle(sK6,sK5,sK7),vangle(sK7,sK5,sK1)) = vangle(sK6,sK5,sK1)
| sK5 = sK6
| sK5 = sK1
| vd1234 = vd1197 ),
inference(instantiation,[status(thm)],[c_706131]) ).
cnf(c_706252,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_706251,c_392698,c_392694,c_376831,c_368262,c_352959,c_340932,c_240853,c_235007,c_234872,c_234756,c_234512,c_225551,c_225550,c_225548,c_223916,c_223915,c_223913,c_222445,c_26489,c_49,c_52,c_57,c_60,c_86,c_87,c_64,c_73,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO295+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Tue Aug 29 19:36:01 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 218.26/29.28 % SZS status Started for theBenchmark.p
% 218.26/29.28 % SZS status Theorem for theBenchmark.p
% 218.26/29.28
% 218.26/29.28 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 218.26/29.28
% 218.26/29.28 ------ iProver source info
% 218.26/29.28
% 218.26/29.28 git: date: 2023-05-31 18:12:56 +0000
% 218.26/29.28 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 218.26/29.28 git: non_committed_changes: false
% 218.26/29.28 git: last_make_outside_of_git: false
% 218.26/29.28
% 218.26/29.28 ------ Parsing...
% 218.26/29.28 ------ Clausification by vclausify_rel & Parsing by iProver...
% 218.26/29.28
% 218.26/29.28 ------ Preprocessing... sup_sim: 22 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
% 218.26/29.28
% 218.26/29.28 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 218.26/29.28
% 218.26/29.28 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 218.26/29.28 ------ Proving...
% 218.26/29.28 ------ Problem Properties
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28 clauses 276
% 218.26/29.28 conjectures 0
% 218.26/29.28 EPR 82
% 218.26/29.28 Horn 195
% 218.26/29.28 unary 39
% 218.26/29.28 binary 42
% 218.26/29.28 lits 1522
% 218.26/29.28 lits eq 191
% 218.26/29.28 fd_pure 0
% 218.26/29.28 fd_pseudo 0
% 218.26/29.28 fd_cond 0
% 218.26/29.28 fd_pseudo_cond 50
% 218.26/29.28 AC symbols 0
% 218.26/29.28
% 218.26/29.28 ------ Schedule dynamic 5 is on
% 218.26/29.28
% 218.26/29.28 ------ no conjectures: strip conj schedule
% 218.26/29.28
% 218.26/29.28 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28 ------
% 218.26/29.28 Current options:
% 218.26/29.28 ------
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28 ------ Proving...
% 218.26/29.28 Proof_search_loop: time out after: 11761 full_loop iterations
% 218.26/29.28
% 218.26/29.28 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" stripped conjectures Time Limit: 15.
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28 ------
% 218.26/29.28 Current options:
% 218.26/29.28 ------
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28 ------ Proving...
% 218.26/29.28 Proof_search_loop: time out after: 21052 full_loop iterations
% 218.26/29.28
% 218.26/29.28 ------ Option_1: Negative Selections stripped conjectures Time Limit: 35.
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28 ------
% 218.26/29.28 Current options:
% 218.26/29.28 ------
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28 ------ Proving...
% 218.26/29.28
% 218.26/29.28
% 218.26/29.28 % SZS status Theorem for theBenchmark.p
% 218.26/29.28
% 218.26/29.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 218.26/29.29
% 218.26/29.30
%------------------------------------------------------------------------------