TSTP Solution File: GEO307+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO307+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:17:26 EDT 2024
% Result : Theorem 28.57s 4.76s
% Output : CNFRefutation 28.57s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f1697)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
vangle(vd1288,vd1287,vd1289) != vangle(vd1288,vd1287,vd1306),
inference(negated_conjecture,[],[f1]) ).
fof(f3,axiom,
~ rR(vd1287,vd1289,vd1306),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(conjunct2(356)))') ).
fof(f4,axiom,
~ rR(vd1287,vd1288,vd1299),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','neg(neg(356))') ).
fof(f148,plain,
vangle(vd1288,vd1287,vd1289) != vangle(vd1288,vd1287,vd1306),
inference(flattening,[],[f2]) ).
fof(f476,plain,
( ? [X0] :
( rpoint(X0)
& vd1287 = X0 )
=> ( rpoint(sK1)
& vd1287 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f477,plain,
( ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
=> ( rpoint(sK2)
& vd1288 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f478,plain,
( ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
=> ( rpoint(sK3)
& vd1289 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f597,plain,
vangle(vd1288,vd1287,vd1289) != vangle(vd1288,vd1287,vd1306),
inference(cnf_transformation,[],[f148]) ).
fof(f598,plain,
~ rR(vd1287,vd1289,vd1306),
inference(cnf_transformation,[],[f3]) ).
fof(f599,plain,
~ rR(vd1287,vd1288,vd1299),
inference(cnf_transformation,[],[f4]) ).
cnf(c_67,negated_conjecture,
( ~ rR(X0,X1,X1)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f1697]) ).
cnf(c_71,plain,
( ~ ron(X0,X1)
| ~ ron(X2,X1)
| ~ ron(X3,X4)
| ~ ron(X5,X1)
| ~ ron(X6,X4)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rline(X1)
| ~ rline(X4)
| vangle(X2,X0,X3) = vangle(X5,X0,X6)
| X0 = X2
| X0 = X3
| X0 = X5
| X0 = X6
| rR(X0,X2,X5)
| rR(X0,X3,X6) ),
inference(cnf_transformation,[],[f950]) ).
cnf(c_73,negated_conjecture,
sK1 != vd1306,
inference(cnf_transformation,[],[f899]) ).
cnf(c_75,negated_conjecture,
sK1 != sK3,
inference(cnf_transformation,[],[f901]) ).
cnf(c_80,negated_conjecture,
sK2 != sK1,
inference(cnf_transformation,[],[f905]) ).
cnf(c_85,plain,
rline(vd1297),
inference(cnf_transformation,[],[f638]) ).
cnf(c_88,plain,
rline(vd1295),
inference(cnf_transformation,[],[f641]) ).
cnf(c_94,plain,
ron(sK3,vd1297),
inference(cnf_transformation,[],[f912]) ).
cnf(c_95,plain,
ron(sK2,vd1295),
inference(cnf_transformation,[],[f913]) ).
cnf(c_96,plain,
ron(vd1306,vd1297),
inference(cnf_transformation,[],[f649]) ).
cnf(c_877,plain,
( ~ ron(X0_13,X0_15)
| ~ ron(X1_13,X0_15)
| ~ ron(X2_13,X0_15)
| ~ ron(X3_13,X1_15)
| ~ ron(X4_13,X1_15)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| ~ rpoint(X3_13)
| ~ rpoint(X4_13)
| ~ rline(X0_15)
| ~ rline(X1_15)
| vangle(X1_13,X0_13,X3_13) = vangle(X2_13,X0_13,X4_13)
| X0_13 = X1_13
| X0_13 = X2_13
| X0_13 = X3_13
| X0_13 = X4_13
| rR(X0_13,X1_13,X2_13)
| rR(X0_13,X3_13,X4_13) ),
inference(subtyping,[status(esa)],[c_71]) ).
cnf(c_879,negated_conjecture,
sK1 != vd1306,
inference(subtyping,[status(esa)],[c_73]) ).
cnf(c_881,negated_conjecture,
( ~ rR(X0_13,X1_13,X1_13)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13) ),
inference(subtyping,[status(esa)],[c_67]) ).
cnf(c_887,negated_conjecture,
sK1 != sK3,
inference(subtyping,[status(esa)],[c_75]) ).
cnf(c_888,negated_conjecture,
sK2 != sK1,
inference(subtyping,[status(esa)],[c_80]) ).
cnf(c_901,plain,
X0_13 = X0_13,
theory(equality) ).
cnf(c_904,plain,
( X0_13 != X1_13
| X2_13 != X1_13
| X2_13 = X0_13 ),
theory(equality) ).
cnf(c_1195,plain,
( sK2 != X0_13
| sK1 != X0_13
| sK2 = sK1 ),
inference(instantiation,[status(thm)],[c_904]) ).
cnf(c_2944,plain,
( ~ ron(sK2,X0_15)
| ~ ron(sK1,X0_15)
| ~ ron(sK3,X1_15)
| ~ ron(vd1306,X1_15)
| ~ rline(X0_15)
| ~ rline(X1_15)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(vd1306)
| vangle(sK2,sK1,sK3) = vangle(sK2,sK1,vd1306)
| sK1 = sK2
| sK1 = sK3
| sK1 = vd1306
| rR(sK1,sK2,sK2)
| rR(sK1,sK3,vd1306) ),
inference(instantiation,[status(thm)],[c_877]) ).
cnf(c_5634,plain,
( sK2 != sK2
| sK1 != sK2
| sK2 = sK1 ),
inference(instantiation,[status(thm)],[c_1195]) ).
cnf(c_5635,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_901]) ).
cnf(c_20348,plain,
( ~ rR(sK1,sK2,sK2)
| ~ rpoint(sK2)
| ~ rpoint(sK1) ),
inference(instantiation,[status(thm)],[c_881]) ).
cnf(c_22625,plain,
( ~ ron(sK3,X0_15)
| ~ ron(vd1306,X0_15)
| ~ ron(sK2,vd1295)
| ~ ron(sK1,vd1295)
| ~ rline(X0_15)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(vd1306)
| ~ rline(vd1295)
| vangle(sK2,sK1,sK3) = vangle(sK2,sK1,vd1306)
| sK1 = sK2
| sK1 = sK3
| sK1 = vd1306
| rR(sK1,sK2,sK2)
| rR(sK1,sK3,vd1306) ),
inference(instantiation,[status(thm)],[c_2944]) ).
cnf(c_22626,plain,
( ~ ron(sK2,vd1295)
| ~ ron(sK1,vd1295)
| ~ ron(sK3,vd1297)
| ~ ron(vd1306,vd1297)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ rpoint(vd1306)
| ~ rline(vd1297)
| ~ rline(vd1295)
| vangle(sK2,sK1,sK3) = vangle(sK2,sK1,vd1306)
| sK1 = sK2
| sK1 = sK3
| sK1 = vd1306
| rR(sK1,sK2,sK2)
| rR(sK1,sK3,vd1306) ),
inference(instantiation,[status(thm)],[c_22625]) ).
fof(f10,axiom,
! [X11,X12,X13] :
( ( ? [X16] :
( rpoint(X16)
& X11 = X16 )
& ? [X15] :
( rpoint(X15)
& X12 = X15 )
& ? [X14] :
( rpoint(X14)
& X13 = X14 )
& rR(X12,X11,X13) )
=> ( rR(X12,X13,X11)
& X11 != X12
& X11 != X13
& ~ rR(X11,X12,X13) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f940,plain,
! [X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X5,X5) ),
inference(equality_resolution,[],[f939]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rR(X1,X0,X2) )
=> ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) ) ),
inference(rectify,[],[f10]) ).
fof(f266,plain,
! [X0,X1,X2] :
( ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(ennf_transformation,[],[f151]) ).
fof(f267,plain,
! [X0,X1,X2] :
( ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| ~ rR(X1,X0,X2) ),
inference(flattening,[],[f266]) ).
fof(f617,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X2)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f618,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X2
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f267]) ).
fof(f937,plain,
! [X2,X3,X1,X4,X5] :
( ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X2,X2) ),
inference(equality_resolution,[],[f618]) ).
fof(f938,plain,
! [X3,X1,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X3 != X5
| ~ rR(X1,X3,X3) ),
inference(equality_resolution,[],[f937]) ).
fof(f939,plain,
! [X3,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 != X5
| ~ rR(X4,X3,X3) ),
inference(equality_resolution,[],[f938]) ).
fof(f941,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X3,X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X3,X2) ),
inference(equality_resolution,[],[f617]) ).
fof(f942,plain,
! [X2,X3,X4,X5] :
( ~ rR(X3,X4,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f941]) ).
fof(f11,axiom,
vd1287 != vd1306,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(355))), 1309, 0)') ).
fof(f943,plain,
! [X3,X4,X5] :
( ~ rR(X3,X4,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f942]) ).
fof(f621,plain,
vd1287 != vd1306,
inference(cnf_transformation,[],[f11]) ).
fof(f7,axiom,
( rR(vd1288,vd1287,vd1299)
& rpoint(vd1303)
& rR(vd1289,vd1287,vd1302)
& vd1302 = vd1303 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f634,plain,
vd1306 != vd1302,
inference(cnf_transformation,[],[f24]) ).
fof(f8,axiom,
( ? [X2] :
( rpoint(X2)
& vd1287 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
& ? [X0] :
( rpoint(X0)
& vd1289 = X0 )
& vd1288 != vd1287
& vd1287 != vd1289
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(f652,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f42]) ).
fof(f12,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f651,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f41]) ).
fof(f13,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f897,plain,
vd1306 != sK1,
inference(definition_unfolding,[],[f621,f614]) ).
fof(f14,axiom,
! [X17,X18,X19,X20,X21,X22,X23] :
( ( ? [X30] :
( rpoint(X30)
& X17 = X30 )
& ? [X29] :
( rpoint(X29)
& X18 = X29 )
& ? [X28] :
( rpoint(X28)
& X19 = X28 )
& ? [X27] :
( rpoint(X27)
& X20 = X27 )
& ? [X26] :
( rpoint(X26)
& X21 = X26 )
& ? [X25] :
( rline(X25)
& X22 = X25 )
& ? [X24] :
( rline(X24)
& X23 = X24 )
& ron(X17,X22)
& ron(X18,X22)
& ron(X20,X22)
& ron(X19,X23)
& ron(X21,X23)
& X17 != X18
& X17 != X19
& X17 != X20
& X17 != X21
& ~ rR(X17,X18,X20)
& ~ rR(X17,X19,X21) )
=> vangle(X18,X17,X19) = vangle(X20,X17,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f623,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f13]) ).
fof(f15,axiom,
vd1287 != vd1299,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(355))), 1311, 0)') ).
fof(f950,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| ~ rline(X13)
| ~ ron(X7,X12)
| ~ ron(X8,X12)
| ~ ron(X10,X12)
| ~ ron(X9,X13)
| ~ ron(X11,X13)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11) ),
inference(equality_resolution,[],[f949]) ).
fof(f21,axiom,
rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(351, 1305, 0)') ).
fof(f630,plain,
ron(vd1306,vd1297),
inference(cnf_transformation,[],[f20]) ).
fof(f25,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(349), 0)') ).
fof(f906,plain,
vd1306 != vd1303,
inference(definition_unfolding,[],[f634,f602]) ).
fof(f29,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof(f638,plain,
rline(vd1297),
inference(cnf_transformation,[],[f28]) ).
fof(f32,axiom,
! [X31,X32,X33,X34,X35,X36,X37,X38] :
( ( rpoint(X32)
& X31 = X32
& rpoint(X34)
& X33 = X34
& rpoint(X36)
& X35 = X36
& rpoint(X38)
& X37 = X38
& X31 != X33
& X35 != X37
& rless(vf(X35,X37),vf(X31,X33)) )
=> vf(X35,X37) = vf(X31,vskolem1120(X31,X32,X33,X34,X35,X36,X37,X38)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof(f641,plain,
rline(vd1295),
inference(cnf_transformation,[],[f31]) ).
fof(f33,axiom,
! [X31,X32,X33,X34,X35,X36,X37,X38] :
( ( rpoint(X32)
& X31 = X32
& rpoint(X34)
& X33 = X34
& rpoint(X36)
& X35 = X36
& rpoint(X38)
& X37 = X38
& X31 != X33
& X35 != X37
& rless(vf(X35,X37),vf(X31,X33)) )
=> rR(vskolem1120(X31,X32,X33,X34,X35,X36,X37,X38),X31,X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof(f954,plain,
! [X3,X1,X7,X5] :
( vf(X5,X7) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3)) ),
inference(equality_resolution,[],[f953]) ).
fof(f34,axiom,
! [X31,X32,X33,X34,X35,X36,X37,X38] :
( ( rpoint(X32)
& X31 = X32
& rpoint(X34)
& X33 = X34
& rpoint(X36)
& X35 = X36
& rpoint(X38)
& X37 = X38
& X31 != X33
& X35 != X37
& rless(vf(X35,X37),vf(X31,X33)) )
=> rpoint(vskolem1120(X31,X32,X33,X34,X35,X36,X37,X38)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof(f958,plain,
! [X3,X1,X7,X5] :
( rR(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7),X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3)) ),
inference(equality_resolution,[],[f957]) ).
fof(f35,axiom,
! [X39,X40,X41,X42,X43] :
( ( ? [X46] :
( rpoint(X46)
& X39 = X46 )
& ? [X45] :
( rpoint(X45)
& X40 = X45 )
& ? [X44] :
( rpoint(X44)
& X41 = X44 )
& rline(X43)
& rR(X40,X39,X41)
& ron(X39,X42)
& ron(X41,X42)
& X42 = X43 )
=> ron(X40,X42) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f962,plain,
! [X3,X1,X7,X5] :
( rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3)) ),
inference(equality_resolution,[],[f961]) ).
fof(f36,axiom,
! [X47,X48,X49,X50,X51] :
( ( ? [X54] :
( rpoint(X54)
& X47 = X54 )
& ? [X53] :
( rpoint(X53)
& X48 = X53 )
& ? [X52] :
( rpoint(X52)
& X49 = X52 )
& rline(X51)
& rR(X48,X47,X49)
& ron(X47,X50)
& ron(X48,X50)
& X50 = X51 )
=> ron(X49,X50) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f966,plain,
! [X6,X7,X4,X5] :
( ron(X6,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X4)
| ~ ron(X7,X4) ),
inference(equality_resolution,[],[f965]) ).
fof(f37,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).
fof(f970,plain,
! [X6,X7,X4,X5] :
( ron(X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X4)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f969]) ).
fof(f40,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(354))), 0)') ).
fof(f649,plain,
ron(vd1306,vd1297),
inference(cnf_transformation,[],[f39]) ).
fof(f42,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(354), 0)') ).
fof(f915,plain,
ron(vd1300,vd1295),
inference(definition_unfolding,[],[f651,f622]) ).
fof(f149,plain,
( ? [X0] :
( rpoint(X0)
& vd1287 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
& vd1288 != vd1287
& vd1287 != vd1289
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(rectify,[],[f8]) ).
fof(f152,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X11] :
( rpoint(X11)
& X4 = X11 )
& ? [X12] :
( rline(X12)
& X5 = X12 )
& ? [X13] :
( rline(X13)
& X6 = X13 )
& ron(X0,X5)
& ron(X1,X5)
& ron(X3,X5)
& ron(X2,X6)
& ron(X4,X6)
& X0 != X1
& X0 != X2
& X0 != X3
& X0 != X4
& ~ rR(X0,X1,X3)
& ~ rR(X0,X2,X4) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
inference(rectify,[],[f14]) ).
fof(f153,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& X0 != X2
& X4 != X6
& rless(vf(X4,X6),vf(X0,X2)) )
=> vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
inference(rectify,[],[f32]) ).
fof(f154,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& X0 != X2
& X4 != X6
& rless(vf(X4,X6),vf(X0,X2)) )
=> rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2) ),
inference(rectify,[],[f33]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& X0 != X2
& X4 != X6
& rless(vf(X4,X6),vf(X0,X2)) )
=> rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
inference(rectify,[],[f34]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& rR(X1,X0,X2)
& ron(X0,X3)
& ron(X2,X3)
& X3 = X4 )
=> ron(X1,X3) ),
inference(rectify,[],[f35]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& rR(X1,X0,X2)
& ron(X0,X3)
& ron(X1,X3)
& X3 = X4 )
=> ron(X2,X3) ),
inference(rectify,[],[f36]) ).
fof(f268,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rline(X12)
| X5 != X12 )
| ! [X13] :
( ~ rline(X13)
| X6 != X13 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4) ),
inference(ennf_transformation,[],[f152]) ).
fof(f269,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X1 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X2 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X3 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X4 != X11 )
| ! [X12] :
( ~ rline(X12)
| X5 != X12 )
| ! [X13] :
( ~ rline(X13)
| X6 != X13 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4) ),
inference(flattening,[],[f268]) ).
fof(f270,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(ennf_transformation,[],[f153]) ).
fof(f271,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(flattening,[],[f270]) ).
fof(f272,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(ennf_transformation,[],[f154]) ).
fof(f273,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(flattening,[],[f272]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(ennf_transformation,[],[f155]) ).
fof(f275,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(flattening,[],[f274]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f156]) ).
fof(f277,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(flattening,[],[f276]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f157]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(flattening,[],[f278]) ).
fof(f479,plain,
( rpoint(sK1)
& vd1287 = sK1
& rpoint(sK2)
& vd1288 = sK2
& rpoint(sK3)
& vd1289 = sK3
& vd1288 != vd1287
& vd1287 != vd1289
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f149,f478,f477,f476]) ).
fof(f602,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f7]) ).
fof(f610,plain,
vd1289 = sK3,
inference(cnf_transformation,[],[f479]) ).
fof(f611,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f479]) ).
fof(f612,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f479]) ).
fof(f613,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f479]) ).
fof(f614,plain,
vd1287 = sK1,
inference(cnf_transformation,[],[f479]) ).
fof(f615,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f479]) ).
fof(f622,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f12]) ).
fof(f5,axiom,
rR(vd1306,vd1287,vd1302),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(352), 1307, 0)') ).
fof(f889,plain,
~ rR(sK1,sK2,vd1300),
inference(definition_unfolding,[],[f599,f614,f612,f622]) ).
fof(f600,plain,
rR(vd1306,vd1287,vd1302),
inference(cnf_transformation,[],[f5]) ).
fof(f6,axiom,
rpoint(vd1306),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(352, 0)') ).
fof(f890,plain,
rR(vd1306,sK1,vd1303),
inference(definition_unfolding,[],[f600,f614,f602]) ).
fof(f601,plain,
rpoint(vd1306),
inference(cnf_transformation,[],[f6]) ).
fof(f624,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X0 = X1
| X0 = X2
| X0 = X3
| X0 = X4
| rR(X0,X1,X3)
| rR(X0,X2,X4) ),
inference(cnf_transformation,[],[f269]) ).
fof(f625,plain,
vd1287 != vd1299,
inference(cnf_transformation,[],[f15]) ).
fof(f16,axiom,
vd1287 != vd1306,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(353)), 1309, 0)') ).
fof(f898,plain,
vd1300 != sK1,
inference(definition_unfolding,[],[f625,f614,f622]) ).
fof(f626,plain,
vd1287 != vd1306,
inference(cnf_transformation,[],[f16]) ).
fof(f17,axiom,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(352), 1308, 0)') ).
fof(f899,plain,
vd1306 != sK1,
inference(definition_unfolding,[],[f626,f614]) ).
fof(f627,plain,
vf(vd1287,vd1299) = vf(vd1287,vd1306),
inference(cnf_transformation,[],[f17]) ).
fof(f18,axiom,
vd1287 != vd1289,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(355)), 1313, 0)') ).
fof(f900,plain,
vf(sK1,vd1300) = vf(sK1,vd1306),
inference(definition_unfolding,[],[f627,f614,f622,f614]) ).
fof(f628,plain,
vd1287 != vd1289,
inference(cnf_transformation,[],[f18]) ).
fof(f19,axiom,
vd1287 != vd1299,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(353))), 1311, 0)') ).
fof(f901,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f628,f614,f610]) ).
fof(f629,plain,
vd1287 != vd1299,
inference(cnf_transformation,[],[f19]) ).
fof(f20,axiom,
ron(vd1306,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(353), 0)') ).
fof(f902,plain,
vd1300 != sK1,
inference(definition_unfolding,[],[f629,f614,f622]) ).
fof(f631,plain,
rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
inference(cnf_transformation,[],[f21]) ).
fof(f22,axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f903,plain,
rless(vf(sK1,vd1300),vf(sK1,vd1303)),
inference(definition_unfolding,[],[f631,f614,f622,f614,f602]) ).
fof(f632,plain,
ron(vd1302,vd1297),
inference(cnf_transformation,[],[f22]) ).
fof(f23,axiom,
vd1288 != vd1287,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(355), 1312, 0)') ).
fof(f904,plain,
ron(vd1303,vd1297),
inference(definition_unfolding,[],[f632,f602]) ).
fof(f633,plain,
vd1288 != vd1287,
inference(cnf_transformation,[],[f23]) ).
fof(f24,axiom,
vd1306 != vd1302,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(353))), 1310, 0)') ).
fof(f905,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f633,f612,f614]) ).
fof(f635,plain,
ron(vd1299,vd1295),
inference(cnf_transformation,[],[f25]) ).
fof(f26,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(f907,plain,
ron(vd1300,vd1295),
inference(definition_unfolding,[],[f635,f622]) ).
fof(f636,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f26]) ).
fof(f27,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(347)), 0)') ).
fof(f908,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f636,f610]) ).
fof(f637,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f27]) ).
fof(f28,axiom,
rline(vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f909,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f637,f614]) ).
fof(f639,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f29]) ).
fof(f30,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(346)), 0)') ).
fof(f910,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f639,f612]) ).
fof(f640,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f30]) ).
fof(f31,axiom,
rline(vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f911,plain,
ron(sK1,vd1295),
inference(definition_unfolding,[],[f640,f614]) ).
fof(f642,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vf(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(cnf_transformation,[],[f271]) ).
fof(f643,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(cnf_transformation,[],[f273]) ).
fof(f644,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X0 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X0,X2)) ),
inference(cnf_transformation,[],[f275]) ).
fof(f645,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f277]) ).
fof(f646,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f279]) ).
fof(f647,plain,
ron(vd1289,vd1297),
inference(cnf_transformation,[],[f37]) ).
fof(f38,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(354))))), 0)') ).
fof(f912,plain,
ron(sK3,vd1297),
inference(definition_unfolding,[],[f647,f610]) ).
fof(f648,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f38]) ).
fof(f39,axiom,
ron(vd1306,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(conjunct2(conjunct2(354)))), 0)') ).
fof(f913,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f648,f612]) ).
fof(f650,plain,
ron(vd1287,vd1297),
inference(cnf_transformation,[],[f40]) ).
fof(f41,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(354)), 0)') ).
fof(f914,plain,
ron(sK1,vd1297),
inference(definition_unfolding,[],[f650,f614]) ).
fof(f887,plain,
vangle(sK2,sK1,sK3) != vangle(sK2,sK1,vd1306),
inference(definition_unfolding,[],[f597,f612,f614,f610,f612,f614]) ).
fof(f888,plain,
~ rR(sK1,sK3,vd1306),
inference(definition_unfolding,[],[f598,f614,f610]) ).
fof(f916,plain,
ron(sK1,vd1295),
inference(definition_unfolding,[],[f652,f614]) ).
fof(f944,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X7,X2) = vangle(X3,X7,X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X1,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X1 = X7
| X2 = X7
| X3 = X7
| X4 = X7
| rR(X7,X1,X3)
| rR(X7,X2,X4) ),
inference(equality_resolution,[],[f624]) ).
fof(f945,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X3,X7,X4) = vangle(X8,X7,X2)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X2 != X9
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X3,X5)
| ~ ron(X2,X6)
| ~ ron(X4,X6)
| X7 = X8
| X2 = X7
| X3 = X7
| X4 = X7
| rR(X7,X8,X3)
| rR(X7,X2,X4) ),
inference(equality_resolution,[],[f944]) ).
fof(f946,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X3,X7,X4) = vangle(X8,X7,X9)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X3 != X10
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X3,X5)
| ~ ron(X9,X6)
| ~ ron(X4,X6)
| X7 = X8
| X7 = X9
| X3 = X7
| X4 = X7
| rR(X7,X8,X3)
| rR(X7,X9,X4) ),
inference(equality_resolution,[],[f945]) ).
fof(f947,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X4 != X11
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X10,X5)
| ~ ron(X9,X6)
| ~ ron(X4,X6)
| X7 = X8
| X7 = X9
| X7 = X10
| X4 = X7
| rR(X7,X8,X10)
| rR(X7,X9,X4) ),
inference(equality_resolution,[],[f946]) ).
fof(f948,plain,
! [X10,X11,X8,X6,X9,X7,X5,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| X5 != X12
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X5)
| ~ ron(X8,X5)
| ~ ron(X10,X5)
| ~ ron(X9,X6)
| ~ ron(X11,X6)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11) ),
inference(equality_resolution,[],[f947]) ).
fof(f949,plain,
! [X10,X11,X8,X6,X9,X7,X12,X13] :
( vangle(X8,X7,X9) = vangle(X10,X7,X11)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rline(X12)
| ~ rline(X13)
| X6 != X13
| ~ ron(X7,X12)
| ~ ron(X8,X12)
| ~ ron(X10,X12)
| ~ ron(X9,X6)
| ~ ron(X11,X6)
| X7 = X8
| X7 = X9
| X7 = X10
| X7 = X11
| rR(X7,X8,X10)
| rR(X7,X9,X11) ),
inference(equality_resolution,[],[f948]) ).
fof(f951,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( vf(X4,X6) = vf(X1,vskolem1120(X1,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X2)) ),
inference(equality_resolution,[],[f642]) ).
fof(f952,plain,
! [X3,X1,X6,X7,X4,X5] :
( vf(X4,X6) = vf(X1,vskolem1120(X1,X1,X3,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f951]) ).
fof(f953,plain,
! [X3,X1,X6,X7,X5] :
( vf(X5,X6) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X5 = X6
| ~ rless(vf(X5,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f952]) ).
fof(f955,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(vskolem1120(X1,X1,X2,X3,X4,X5,X6,X7),X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X2)) ),
inference(equality_resolution,[],[f643]) ).
fof(f956,plain,
! [X3,X1,X6,X7,X4,X5] :
( rR(vskolem1120(X1,X1,X3,X3,X4,X5,X6,X7),X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f955]) ).
fof(f957,plain,
! [X3,X1,X6,X7,X5] :
( rR(vskolem1120(X1,X1,X3,X3,X5,X5,X6,X7),X1,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X5 = X6
| ~ rless(vf(X5,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f956]) ).
fof(f959,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rpoint(vskolem1120(X1,X1,X2,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X2
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X2)) ),
inference(equality_resolution,[],[f644]) ).
fof(f960,plain,
! [X3,X1,X6,X7,X4,X5] :
( rpoint(vskolem1120(X1,X1,X3,X3,X4,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X4 = X6
| ~ rless(vf(X4,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f959]) ).
fof(f961,plain,
! [X3,X1,X6,X7,X5] :
( rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X6,X7))
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X6 != X7
| X1 = X3
| X5 = X6
| ~ rless(vf(X5,X6),vf(X1,X3)) ),
inference(equality_resolution,[],[f960]) ).
fof(f963,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f645]) ).
fof(f964,plain,
! [X2,X3,X6,X7,X4,X5] :
( ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X6,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f963]) ).
fof(f965,plain,
! [X3,X6,X7,X4,X5] :
( ron(X6,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X3)
| ~ ron(X7,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f964]) ).
fof(f967,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X1,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X1,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f646]) ).
fof(f968,plain,
! [X2,X3,X6,X7,X4,X5] :
( ron(X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| ~ rR(X6,X5,X2)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f967]) ).
fof(f969,plain,
! [X3,X6,X7,X4,X5] :
( ron(X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f968]) ).
cnf(c_49,negated_conjecture,
vangle(sK2,sK1,sK3) != vangle(sK2,sK1,vd1306),
inference(cnf_transformation,[],[f887]) ).
cnf(c_50,negated_conjecture,
~ rR(sK1,sK3,vd1306),
inference(cnf_transformation,[],[f888]) ).
cnf(c_53,plain,
rpoint(vd1306),
inference(cnf_transformation,[],[f601]) ).
cnf(c_57,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f615]) ).
cnf(c_58,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f613]) ).
cnf(c_59,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f611]) ).
cnf(c_99,plain,
ron(sK1,vd1295),
inference(cnf_transformation,[],[f916]) ).
cnf(c_899,negated_conjecture,
vangle(sK2,sK1,sK3) != vangle(sK2,sK1,vd1306),
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_22627,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_22626,c_20348,c_5635,c_5634,c_899,c_888,c_887,c_879,c_50,c_94,c_95,c_96,c_99,c_53,c_57,c_58,c_59,c_85,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO307+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n017.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 : Fri May 3 00:48:21 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 28.57/4.76 % SZS status Started for theBenchmark.p
% 28.57/4.76 % SZS status Theorem for theBenchmark.p
% 28.57/4.76
% 28.57/4.76 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 28.57/4.76
% 28.57/4.76 ------ iProver source info
% 28.57/4.76
% 28.57/4.76 git: date: 2024-05-02 19:28:25 +0000
% 28.57/4.76 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 28.57/4.76 git: non_committed_changes: false
% 28.57/4.76
% 28.57/4.76 ------ Parsing...
% 28.57/4.76 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.57/4.76
% 28.57/4.76 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 28.57/4.76
% 28.57/4.76 ------ Preprocessing...
% 28.57/4.76
% 28.57/4.76 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.57/4.76 ------ Proving...
% 28.57/4.76 ------ Problem Properties
% 28.57/4.76
% 28.57/4.76
% 28.57/4.76 clauses 270
% 28.57/4.76 conjectures 46
% 28.57/4.76 EPR 69
% 28.57/4.76 Horn 183
% 28.57/4.76 unary 32
% 28.57/4.76 binary 32
% 28.57/4.76 lits 1665
% 28.57/4.76 lits eq 270
% 28.57/4.76 fd_pure 0
% 28.57/4.76 fd_pseudo 0
% 28.57/4.76 fd_cond 0
% 28.57/4.76 fd_pseudo_cond 62
% 28.57/4.76 AC symbols 0
% 28.57/4.76
% 28.57/4.76 ------ Input Options Time Limit: Unbounded
% 28.57/4.76
% 28.57/4.76
% 28.57/4.76 ------
% 28.57/4.76 Current options:
% 28.57/4.76 ------
% 28.57/4.76
% 28.57/4.76
% 28.57/4.76
% 28.57/4.76
% 28.57/4.76 ------ Proving...
% 28.57/4.76
% 28.57/4.76
% 28.57/4.76 % SZS status Theorem for theBenchmark.p
% 28.57/4.76
% 28.57/4.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.57/4.76
% 28.57/4.76
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