TSTP Solution File: GEO306+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO306+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 51.02s 7.73s
% Output : CNFRefutation 51.02s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f849)
% Comments :
%------------------------------------------------------------------------------
fof(f457,plain,
( ? [X0] :
( rpoint(X0)
& vd1287 = X0 )
=> ( rpoint(sK1)
& vd1287 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f458,plain,
( ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
=> ( rpoint(sK2)
& vd1288 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f459,plain,
( ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
=> ( rpoint(sK3)
& vd1289 = sK3 ) ),
introduced(choice_axiom,[]) ).
cnf(c_49,negated_conjecture,
( vf(sK1,X0) != vf(sK1,vd1300)
| ~ rR(X0,sK1,vd1303)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f849]) ).
cnf(c_50,plain,
rless(vf(sK1,vd1300),vf(sK1,vd1303)),
inference(cnf_transformation,[],[f850]) ).
cnf(c_55,plain,
rR(sK3,sK1,vd1303),
inference(cnf_transformation,[],[f854]) ).
cnf(c_67,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f601]) ).
cnf(c_71,plain,
( ~ rless(vf(X0,X1),vf(X2,X3))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| vf(X2,vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1)) = vf(X0,X1)
| X0 = X1
| X2 = X3 ),
inference(cnf_transformation,[],[f879]) ).
cnf(c_72,plain,
( ~ rless(vf(X0,X1),vf(X2,X3))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X0 = X1
| X2 = X3
| rR(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1),X2,X3) ),
inference(cnf_transformation,[],[f883]) ).
cnf(c_170,plain,
( ~ rR(X0,X1,X2)
| ~ rR(X0,X1,X3)
| ~ rR(X0,X3,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f1238]) ).
cnf(c_16492,plain,
( ~ rR(X0_13,X1_13,X2_13)
| ~ rR(X0_13,X1_13,X3_13)
| ~ rR(X0_13,X3_13,X2_13)
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| ~ rpoint(X3_13) ),
inference(subtyping,[status(esa)],[c_170]) ).
cnf(c_16585,plain,
( ~ rless(vf(X0_13,X1_13),vf(X2_13,X3_13))
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| ~ rpoint(X3_13)
| X0_13 = X1_13
| X2_13 = X3_13
| rR(vskolem1120(X2_13,X2_13,X3_13,X3_13,X0_13,X0_13,X1_13,X1_13),X2_13,X3_13) ),
inference(subtyping,[status(esa)],[c_72]) ).
cnf(c_16586,plain,
( ~ rless(vf(X0_13,X1_13),vf(X2_13,X3_13))
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| ~ rpoint(X3_13)
| vf(X2_13,vskolem1120(X2_13,X2_13,X3_13,X3_13,X0_13,X0_13,X1_13,X1_13)) = vf(X0_13,X1_13)
| X0_13 = X1_13
| X2_13 = X3_13 ),
inference(subtyping,[status(esa)],[c_71]) ).
cnf(c_16608,negated_conjecture,
( vf(sK1,X0_13) != vf(sK1,vd1300)
| ~ rR(X0_13,sK1,vd1303)
| ~ rpoint(X0_13) ),
inference(subtyping,[status(esa)],[c_49]) ).
cnf(c_16627,plain,
X0_13 = X0_13,
theory(equality) ).
cnf(c_16634,plain,
( X0_13 != X1_13
| X2_13 != X3_13
| X4_13 != X5_13
| ~ rR(X1_13,X3_13,X5_13)
| rR(X0_13,X2_13,X4_13) ),
theory(equality) ).
cnf(c_16651,plain,
sK1 = sK1,
inference(instantiation,[status(thm)],[c_16627]) ).
cnf(c_23807,plain,
( X0_13 != sK2
| X1_13 != sK1
| X2_13 != vd1300
| ~ rR(sK2,sK1,vd1300)
| rR(X0_13,X1_13,X2_13) ),
inference(instantiation,[status(thm)],[c_16634]) ).
cnf(c_23808,plain,
( X0_13 != sK3
| X1_13 != sK1
| X2_13 != vd1303
| ~ rR(sK3,sK1,vd1303)
| rR(X0_13,X1_13,X2_13) ),
inference(instantiation,[status(thm)],[c_16634]) ).
cnf(c_24162,plain,
( ~ rR(sK2,X0_13,sK1)
| ~ rR(sK2,X0_13,vd1300)
| ~ rR(sK2,sK1,vd1300)
| ~ rpoint(X0_13)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) ),
inference(instantiation,[status(thm)],[c_16492]) ).
cnf(c_24163,plain,
( ~ rR(sK2,sK1,sK1)
| ~ rR(sK2,sK1,vd1300)
| ~ rpoint(sK1)
| ~ rpoint(vd1300)
| ~ rpoint(sK2) ),
inference(instantiation,[status(thm)],[c_24162]) ).
cnf(c_24164,plain,
( ~ rR(sK3,X0_13,sK1)
| ~ rR(sK3,X0_13,vd1303)
| ~ rR(sK3,sK1,vd1303)
| ~ rpoint(X0_13)
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(instantiation,[status(thm)],[c_16492]) ).
cnf(c_24165,plain,
( ~ rR(sK3,sK1,sK1)
| ~ rR(sK3,sK1,vd1303)
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ rpoint(sK3) ),
inference(instantiation,[status(thm)],[c_24164]) ).
cnf(c_24550,plain,
( ~ rless(vf(sK1,vd1300),vf(sK1,vd1303))
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ rpoint(vd1300)
| sK1 = vd1303
| sK1 = vd1300
| rR(vskolem1120(sK1,sK1,vd1303,vd1303,sK1,sK1,vd1300,vd1300),sK1,vd1303) ),
inference(instantiation,[status(thm)],[c_16585]) ).
cnf(c_24551,plain,
( ~ rless(vf(sK1,vd1300),vf(sK1,vd1303))
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ rpoint(vd1300)
| vf(sK1,vskolem1120(sK1,sK1,vd1303,vd1303,sK1,sK1,vd1300,vd1300)) = vf(sK1,vd1300)
| sK1 = vd1303
| sK1 = vd1300 ),
inference(instantiation,[status(thm)],[c_16586]) ).
cnf(c_26232,plain,
( vf(sK1,vskolem1120(sK1,sK1,vd1303,vd1303,sK1,sK1,vd1300,vd1300)) != vf(sK1,vd1300)
| ~ rR(vskolem1120(sK1,sK1,vd1303,vd1303,sK1,sK1,vd1300,vd1300),sK1,vd1303)
| ~ rpoint(vskolem1120(sK1,sK1,vd1303,vd1303,sK1,sK1,vd1300,vd1300)) ),
inference(instantiation,[status(thm)],[c_16608]) ).
cnf(c_29049,plain,
( X0_13 != sK1
| X1_13 != vd1300
| sK2 != sK2
| ~ rR(sK2,sK1,vd1300)
| rR(sK2,X0_13,X1_13) ),
inference(instantiation,[status(thm)],[c_23807]) ).
cnf(c_29050,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_16627]) ).
cnf(c_29051,plain,
( sK1 != sK1
| sK1 != vd1300
| sK2 != sK2
| ~ rR(sK2,sK1,vd1300)
| rR(sK2,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_29049]) ).
cnf(c_32056,plain,
( X0_13 != sK3
| X1_13 != sK1
| sK1 != vd1303
| ~ rR(sK3,sK1,vd1303)
| rR(X0_13,X1_13,sK1) ),
inference(instantiation,[status(thm)],[c_23808]) ).
cnf(c_37780,plain,
( X0_13 != sK1
| sK1 != vd1303
| sK3 != sK3
| ~ rR(sK3,sK1,vd1303)
| rR(sK3,X0_13,sK1) ),
inference(instantiation,[status(thm)],[c_32056]) ).
cnf(c_37781,plain,
sK3 = sK3,
inference(instantiation,[status(thm)],[c_16627]) ).
cnf(c_37782,plain,
( sK1 != sK1
| sK1 != vd1303
| sK3 != sK3
| ~ rR(sK3,sK1,vd1303)
| rR(sK3,sK1,sK1) ),
inference(instantiation,[status(thm)],[c_37780]) ).
fof(f6,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(f583,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f6]) ).
fof(f10,axiom,
( ? [X3] :
( rpoint(X3)
& vd1287 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1288 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1289 = X1 )
& vd1287 != vd1288
& vd1287 != vd1289
& vd1289 != vd1288
& 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(f603,plain,
ron(vd1287,vd1295),
inference(cnf_transformation,[],[f15]) ).
fof(f12,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f585,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f6]) ).
fof(f13,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f875,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,[],[f874]) ).
fof(f14,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof(f601,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f13]) ).
fof(f129,plain,
( ? [X0] :
( rpoint(X0)
& vd1287 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1289 = X2 )
& vd1287 != vd1288
& vd1287 != vd1289
& vd1289 != vd1288
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(rectify,[],[f10]) ).
fof(f130,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,[],[f11]) ).
fof(f245,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,[],[f130]) ).
fof(f246,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,[],[f245]) ).
fof(f460,plain,
( rpoint(sK1)
& vd1287 = sK1
& rpoint(sK2)
& vd1288 = sK2
& rpoint(sK3)
& vd1289 = sK3
& vd1287 != vd1288
& vd1287 != vd1289
& vd1289 != vd1288
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f129,f459,f458,f457]) ).
fof(f584,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f6]) ).
fof(f589,plain,
vf(vd1287,vd1288) = vf(vd1287,vd1289),
inference(cnf_transformation,[],[f460]) ).
fof(f593,plain,
vd1289 = sK3,
inference(cnf_transformation,[],[f460]) ).
fof(f594,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f460]) ).
fof(f595,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f460]) ).
fof(f596,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f460]) ).
fof(f597,plain,
vd1287 = sK1,
inference(cnf_transformation,[],[f460]) ).
fof(f11,axiom,
! [X4,X5,X6,X7,X8] :
( ( ? [X11] :
( rpoint(X11)
& X4 = X11 )
& ? [X10] :
( rpoint(X10)
& X5 = X10 )
& ? [X9] :
( rpoint(X9)
& X6 = X9 )
& rline(X8)
& rR(X5,X4,X6)
& ron(X4,X7)
& ron(X5,X7)
& X7 = X8 )
=> ron(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f860,plain,
vf(sK1,sK2) = vf(sK1,sK3),
inference(definition_unfolding,[],[f589,f597,f595,f597,f593]) ).
fof(f16,axiom,
rline(vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(346, 0)') ).
fof(f862,plain,
ron(sK1,vd1295),
inference(definition_unfolding,[],[f603,f597]) ).
fof(f17,axiom,
! [X12,X13,X14,X15,X16,X17,X18,X19] :
( ( rpoint(X13)
& X12 = X13
& rpoint(X15)
& X14 = X15
& rpoint(X17)
& X16 = X17
& rpoint(X19)
& X18 = X19
& X12 != X14
& X16 != X18
& rless(vf(X16,X18),vf(X12,X14)) )
=> vf(X16,X18) = vf(X12,vskolem1120(X12,X13,X14,X15,X16,X17,X18,X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof(f604,plain,
rline(vd1295),
inference(cnf_transformation,[],[f16]) ).
fof(f131,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,[],[f17]) ).
fof(f247,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,[],[f131]) ).
fof(f248,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,[],[f247]) ).
fof(f598,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f460]) ).
fof(f599,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,[],[f246]) ).
fof(f600,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f12]) ).
fof(f602,plain,
ron(vd1288,vd1295),
inference(cnf_transformation,[],[f14]) ).
fof(f15,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(346)), 0)') ).
fof(f861,plain,
ron(sK2,vd1295),
inference(definition_unfolding,[],[f602,f595]) ).
fof(f605,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,[],[f248]) ).
fof(f853,plain,
rR(sK2,sK1,vd1300),
inference(definition_unfolding,[],[f585,f595,f597,f600]) ).
fof(f872,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,[],[f599]) ).
fof(f873,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,[],[f872]) ).
fof(f874,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,[],[f873]) ).
fof(f876,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,[],[f605]) ).
fof(f877,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,[],[f876]) ).
fof(f878,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,[],[f877]) ).
fof(f18,axiom,
! [X12,X13,X14,X15,X16,X17,X18,X19] :
( ( rpoint(X13)
& X12 = X13
& rpoint(X15)
& X14 = X15
& rpoint(X17)
& X16 = X17
& rpoint(X19)
& X18 = X19
& X12 != X14
& X16 != X18
& rless(vf(X16,X18),vf(X12,X14)) )
=> rR(vskolem1120(X12,X13,X14,X15,X16,X17,X18,X19),X12,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof(f879,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,[],[f878]) ).
fof(f132,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,[],[f18]) ).
fof(f249,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,[],[f132]) ).
fof(f250,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,[],[f249]) ).
fof(f606,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,[],[f250]) ).
fof(f880,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,[],[f606]) ).
fof(f881,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,[],[f880]) ).
fof(f882,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,[],[f881]) ).
fof(f19,axiom,
! [X12,X13,X14,X15,X16,X17,X18,X19] :
( ( rpoint(X13)
& X12 = X13
& rpoint(X15)
& X14 = X15
& rpoint(X17)
& X16 = X17
& rpoint(X19)
& X18 = X19
& X12 != X14
& X16 != X18
& rless(vf(X16,X18),vf(X12,X14)) )
=> rpoint(vskolem1120(X12,X13,X14,X15,X16,X17,X18,X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof(f883,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,[],[f882]) ).
fof(f133,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,[],[f19]) ).
fof(f251,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,[],[f133]) ).
fof(f252,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,[],[f251]) ).
fof(f607,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,[],[f252]) ).
fof(f884,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,[],[f607]) ).
fof(f885,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,[],[f884]) ).
fof(f886,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,[],[f885]) ).
fof(f887,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,[],[f886]) ).
cnf(c_53,plain,
rR(sK2,sK1,vd1300),
inference(cnf_transformation,[],[f853]) ).
cnf(c_54,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f584]) ).
cnf(c_59,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f598]) ).
cnf(c_60,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f596]) ).
cnf(c_61,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f594]) ).
cnf(c_73,plain,
( ~ rless(vf(X0,X1),vf(X2,X3))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X0 = X1
| X2 = X3
| rpoint(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1)) ),
inference(cnf_transformation,[],[f887]) ).
cnf(c_16584,plain,
( ~ rless(vf(X0_13,X1_13),vf(X2_13,X3_13))
| ~ rpoint(X0_13)
| ~ rpoint(X1_13)
| ~ rpoint(X2_13)
| ~ rpoint(X3_13)
| X0_13 = X1_13
| X2_13 = X3_13
| rpoint(vskolem1120(X2_13,X2_13,X3_13,X3_13,X0_13,X0_13,X1_13,X1_13)) ),
inference(subtyping,[status(esa)],[c_73]) ).
cnf(c_24545,plain,
( ~ rless(vf(sK1,vd1300),vf(sK1,vd1303))
| ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ rpoint(vd1300)
| sK1 = vd1303
| sK1 = vd1300
| rpoint(vskolem1120(sK1,sK1,vd1303,vd1303,sK1,sK1,vd1300,vd1300)) ),
inference(instantiation,[status(thm)],[c_16584]) ).
cnf(c_37783,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_37781,c_37782,c_29050,c_29051,c_26232,c_24551,c_24550,c_24545,c_24165,c_24163,c_16651,c_50,c_53,c_55,c_54,c_59,c_60,c_61,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO306+1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.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 01:10:11 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 51.02/7.73 % SZS status Started for theBenchmark.p
% 51.02/7.73 % SZS status Theorem for theBenchmark.p
% 51.02/7.73
% 51.02/7.73 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 51.02/7.73
% 51.02/7.73 ------ iProver source info
% 51.02/7.73
% 51.02/7.73 git: date: 2024-05-02 19:28:25 +0000
% 51.02/7.73 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 51.02/7.73 git: non_committed_changes: false
% 51.02/7.73
% 51.02/7.73 ------ Parsing...
% 51.02/7.73 ------ Clausification by vclausify_rel & Parsing by iProver...
% 51.02/7.73
% 51.02/7.73 ------ 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
% 51.02/7.73
% 51.02/7.73 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 51.02/7.73
% 51.02/7.73 ------ Preprocessing... sf_s rm: 11 0s sf_e sf_s rm: 0 0s sf_e
% 51.02/7.73 ------ Proving...
% 51.02/7.73 ------ Problem Properties
% 51.02/7.73
% 51.02/7.73
% 51.02/7.73 clauses 271
% 51.02/7.73 conjectures 1
% 51.02/7.73 EPR 71
% 51.02/7.73 Horn 178
% 51.02/7.73 unary 22
% 51.02/7.73 binary 42
% 51.02/7.73 lits 1672
% 51.02/7.73 lits eq 266
% 51.02/7.73 fd_pure 0
% 51.02/7.73 fd_pseudo 0
% 51.02/7.73 fd_cond 0
% 51.02/7.73 fd_pseudo_cond 62
% 51.02/7.73 AC symbols 0
% 51.02/7.73
% 51.02/7.73 ------ Input Options Time Limit: Unbounded
% 51.02/7.73
% 51.02/7.73
% 51.02/7.73 ------
% 51.02/7.73 Current options:
% 51.02/7.73 ------
% 51.02/7.73
% 51.02/7.73
% 51.02/7.73
% 51.02/7.73
% 51.02/7.73 ------ Proving...
% 51.02/7.73
% 51.02/7.73
% 51.02/7.73 % SZS status Theorem for theBenchmark.p
% 51.02/7.73
% 51.02/7.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 51.02/7.74
% 51.02/7.74
%------------------------------------------------------------------------------