TSTP Solution File: GEO287+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO287+1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Mon Jun 24 06:14:23 EDT 2024
% Result : Theorem 237.17s 31.85s
% Output : CNFRefutation 237.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(negated_conjecture,[],[f1]) ).
fof(f157,plain,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(flattening,[],[f2]) ).
fof(f606,plain,
( ? [X0] :
( rpoint(X0)
& vd1156 = X0 )
=> ( rpoint(sK1)
& vd1156 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f607,plain,
( ? [X1] :
( rpoint(X1)
& vd1157 = X1 )
=> ( rpoint(sK2)
& vd1157 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f608,plain,
( ? [X2] :
( rpoint(X2)
& vd1158 = X2 )
=> ( rpoint(sK3)
& vd1158 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f609,plain,
( ? [X3] :
( rpoint(X3)
& vd1163 = X3 )
=> ( rpoint(sK4)
& vd1163 = sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f610,plain,
( ? [X4] :
( rpoint(X4)
& vd1164 = X4 )
=> ( rpoint(sK5)
& vd1164 = sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f611,plain,
( ? [X5] :
( rpoint(X5)
& vd1165 = X5 )
=> ( rpoint(sK6)
& vd1165 = sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f617,plain,
! [X3,X4,X5] :
( ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) )
=> ( rline(sK9(X3,X4,X5))
& ron(X3,sK9(X3,X4,X5))
& ron(X4,sK9(X3,X4,X5))
& ron(X5,sK9(X3,X4,X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f846,plain,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(cnf_transformation,[],[f157]) ).
cnf(c_73,plain,
( vangle(X0,X1,X2) != vangle(X3,X4,X5)
| vf(X1,X0) != vf(X4,X3)
| vf(X1,X2) != vf(X4,X5)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| vf(X0,X2) = vf(X3,X5)
| X0 = X1
| X0 = X2
| X1 = X2
| ron(X3,sK9(X4,X3,X5)) ),
inference(cnf_transformation,[],[f1353]) ).
cnf(c_46048,plain,
vf(sK2,sK3) = sP10_iProver_def,
definition ).
cnf(c_46049,plain,
vf(sK5,sK6) = sP11_iProver_def,
definition ).
fof(f3,axiom,
( ? [X6] :
( rpoint(X6)
& vd1156 = X6 )
& ? [X5] :
( rpoint(X5)
& vd1157 = X5 )
& ? [X4] :
( rpoint(X4)
& vd1158 = X4 )
& vd1157 != vd1156
& vd1158 != vd1156
& vd1157 != vd1158
& ? [X3] :
( rpoint(X3)
& vd1163 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1164 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1165 = X1 )
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ~ ? [X0] :
( rline(X0)
& ron(vd1163,X0)
& ron(vd1164,X0)
& ron(vd1165,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(265))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(265))))), 1172, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(265)))), 1171, 0), and(holds(conjunct1(plural(comma_conjunct2(265))), 1170, 0), and(qe(s3(plural(comma_conjunct2(265)))), and(qe(s2(plural(comma_conjunct2(265)))), and(qe(s1(plural(comma_conjunct2(265)))), and(pred(comma_conjunct1(265), 9), and(pred(comma_conjunct1(265), 8), and(pred(comma_conjunct1(265), 7), and(qe(s3(plural(265))), and(qe(s2(plural(265))), qe(s1(plural(265)))))))))))))))') ).
fof(f853,plain,
vd1164 = sK5,
inference(cnf_transformation,[],[f612]) ).
fof(f6,axiom,
! [X7,X8,X9,X10,X11,X12] :
( ( ? [X19] :
( rpoint(X19)
& X7 = X19 )
& ? [X18] :
( rpoint(X18)
& X8 = X18 )
& ? [X17] :
( rpoint(X17)
& X9 = X17 )
& X7 != X8
& X7 != X9
& X8 != X9
& ? [X16] :
( rpoint(X16)
& X10 = X16 )
& ? [X15] :
( rpoint(X15)
& X11 = X15 )
& ? [X14] :
( rpoint(X14)
& X12 = X14 )
& vf(X7,X8) = vf(X10,X11)
& vf(X7,X9) = vf(X10,X12)
& vangle(X8,X7,X9) = vangle(X11,X10,X12)
& ~ ? [X13] :
( rline(X13)
& ron(X10,X13)
& ron(X11,X13)
& ron(X12,X13) ) )
=> vf(X11,X12) = vf(X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(267), 0), 2)') ).
fof(f1353,plain,
! [X10,X11,X8,X6,X9,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X6,X7) != vf(X9,X10)
| vf(X6,X8) != vf(X9,X11)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X10,sK9(X9,X10,X11)) ),
inference(equality_resolution,[],[f1352]) ).
fof(f153,axiom,
! [X748,X749,X750] :
( ( ? [X753] :
( rpoint(X753)
& X748 = X753 )
& ? [X752] :
( rpoint(X752)
& X749 = X752 )
& ? [X751] :
( rpoint(X751)
& X750 = X751 ) )
=> ( vg(X748,X749,X750) = vg(X750,X748,X749)
& vg(X748,X749,X750) = vg(X748,X750,X749) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))') ).
fof(f3588,plain,
! [X3,X4,X5] :
( vg(X3,X4,X5) = vg(X5,X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f3587]) ).
fof(f158,plain,
( ? [X0] :
( rpoint(X0)
& vd1156 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1157 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1158 = X2 )
& vd1157 != vd1156
& vd1158 != vd1156
& vd1157 != vd1158
& ? [X3] :
( rpoint(X3)
& vd1163 = X3 )
& ? [X4] :
( rpoint(X4)
& vd1164 = X4 )
& ? [X5] :
( rpoint(X5)
& vd1165 = X5 )
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ~ ? [X6] :
( rline(X6)
& ron(vd1163,X6)
& ron(vd1164,X6)
& ron(vd1165,X6) ) ),
inference(rectify,[],[f3]) ).
fof(f161,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X8] :
( rpoint(X8)
& X2 = X8 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& ? [X10] :
( rpoint(X10)
& X4 = X10 )
& ? [X11] :
( rpoint(X11)
& X5 = X11 )
& vf(X0,X1) = vf(X3,X4)
& vf(X0,X2) = vf(X3,X5)
& vangle(X1,X0,X2) = vangle(X4,X3,X5)
& ~ ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) )
=> vf(X4,X5) = vf(X1,X2) ),
inference(rectify,[],[f6]) ).
fof(f305,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 ) )
=> ( vg(X0,X1,X2) = vg(X2,X0,X1)
& vg(X0,X1,X2) = vg(X0,X2,X1) ) ),
inference(rectify,[],[f153]) ).
fof(f313,plain,
( ? [X0] :
( rpoint(X0)
& vd1156 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1157 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1158 = X2 )
& vd1157 != vd1156
& vd1158 != vd1156
& vd1157 != vd1158
& ? [X3] :
( rpoint(X3)
& vd1163 = X3 )
& ? [X4] :
( rpoint(X4)
& vd1164 = X4 )
& ? [X5] :
( rpoint(X5)
& vd1165 = X5 )
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ! [X6] :
( ~ rline(X6)
| ~ ron(vd1163,X6)
| ~ ron(vd1164,X6)
| ~ ron(vd1165,X6) ) ),
inference(ennf_transformation,[],[f158]) ).
fof(f318,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) ),
inference(ennf_transformation,[],[f161]) ).
fof(f319,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ? [X12] :
( rline(X12)
& ron(X3,X12)
& ron(X4,X12)
& ron(X5,X12) ) ),
inference(flattening,[],[f318]) ).
fof(f600,plain,
! [X0,X1,X2] :
( ( vg(X0,X1,X2) = vg(X2,X0,X1)
& vg(X0,X1,X2) = vg(X0,X2,X1) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 ) ),
inference(ennf_transformation,[],[f305]) ).
fof(f601,plain,
! [X0,X1,X2] :
( ( vg(X0,X1,X2) = vg(X2,X0,X1)
& vg(X0,X1,X2) = vg(X0,X2,X1) )
| ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 ) ),
inference(flattening,[],[f600]) ).
fof(f612,plain,
( rpoint(sK1)
& vd1156 = sK1
& rpoint(sK2)
& vd1157 = sK2
& rpoint(sK3)
& vd1158 = sK3
& vd1157 != vd1156
& vd1158 != vd1156
& vd1157 != vd1158
& rpoint(sK4)
& vd1163 = sK4
& rpoint(sK5)
& vd1164 = sK5
& rpoint(sK6)
& vd1165 = sK6
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ! [X6] :
( ~ rline(X6)
| ~ ron(vd1163,X6)
| ~ ron(vd1164,X6)
| ~ ron(vd1165,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f313,f611,f610,f609,f608,f607,f606]) ).
fof(f618,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ! [X6] :
( ~ rpoint(X6)
| X0 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X1 != X7 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ! [X9] :
( ~ rpoint(X9)
| X3 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X4 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X5 != X11 )
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ( rline(sK9(X3,X4,X5))
& ron(X3,sK9(X3,X4,X5))
& ron(X4,sK9(X3,X4,X5))
& ron(X5,sK9(X3,X4,X5)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f319,f617]) ).
fof(f847,plain,
! [X6] :
( ~ rline(X6)
| ~ ron(vd1163,X6)
| ~ ron(vd1164,X6)
| ~ ron(vd1165,X6) ),
inference(cnf_transformation,[],[f612]) ).
fof(f848,plain,
vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
inference(cnf_transformation,[],[f612]) ).
fof(f849,plain,
vf(vd1156,vd1158) = vf(vd1163,vd1165),
inference(cnf_transformation,[],[f612]) ).
fof(f850,plain,
vf(vd1156,vd1157) = vf(vd1163,vd1164),
inference(cnf_transformation,[],[f612]) ).
fof(f851,plain,
vd1165 = sK6,
inference(cnf_transformation,[],[f612]) ).
fof(f852,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f612]) ).
fof(f854,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f612]) ).
fof(f855,plain,
vd1163 = sK4,
inference(cnf_transformation,[],[f612]) ).
fof(f856,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f612]) ).
fof(f857,plain,
vd1157 != vd1158,
inference(cnf_transformation,[],[f612]) ).
fof(f858,plain,
vd1158 != vd1156,
inference(cnf_transformation,[],[f612]) ).
fof(f859,plain,
vd1157 != vd1156,
inference(cnf_transformation,[],[f612]) ).
fof(f860,plain,
vd1158 = sK3,
inference(cnf_transformation,[],[f612]) ).
fof(f861,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f612]) ).
fof(f862,plain,
vd1157 = sK2,
inference(cnf_transformation,[],[f612]) ).
fof(f863,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f612]) ).
fof(f864,plain,
vd1156 = sK1,
inference(cnf_transformation,[],[f612]) ).
fof(f865,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f612]) ).
fof(f874,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X5,sK9(X3,X4,X5)) ),
inference(cnf_transformation,[],[f618]) ).
fof(f875,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X4,sK9(X3,X4,X5)) ),
inference(cnf_transformation,[],[f618]) ).
fof(f876,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| ron(X3,sK9(X3,X4,X5)) ),
inference(cnf_transformation,[],[f618]) ).
fof(f877,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ~ rpoint(X6)
| X0 != X6
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X0,X1) != vf(X3,X4)
| vf(X0,X2) != vf(X3,X5)
| vangle(X1,X0,X2) != vangle(X4,X3,X5)
| rline(sK9(X3,X4,X5)) ),
inference(cnf_transformation,[],[f618]) ).
fof(f1268,plain,
! [X2,X3,X0,X1,X4,X5] :
( vg(X0,X1,X2) = vg(X0,X2,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5 ),
inference(cnf_transformation,[],[f601]) ).
fof(f1269,plain,
! [X2,X3,X0,X1,X4,X5] :
( vg(X0,X1,X2) = vg(X2,X0,X1)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5 ),
inference(cnf_transformation,[],[f601]) ).
fof(f1271,plain,
vf(sK2,sK3) != vf(sK5,sK6),
inference(definition_unfolding,[],[f846,f862,f860,f853,f851]) ).
fof(f1272,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f859,f862,f864]) ).
fof(f1273,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f858,f860,f864]) ).
fof(f1274,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f857,f862,f860]) ).
fof(f1275,plain,
vf(sK1,sK2) = vf(sK4,sK5),
inference(definition_unfolding,[],[f850,f864,f862,f855,f853]) ).
fof(f1276,plain,
vf(sK1,sK3) = vf(sK4,sK6),
inference(definition_unfolding,[],[f849,f864,f860,f855,f851]) ).
fof(f1277,plain,
vangle(sK2,sK1,sK3) = vangle(sK5,sK4,sK6),
inference(definition_unfolding,[],[f848,f862,f864,f860,f853,f855,f851]) ).
fof(f1278,plain,
! [X6] :
( ~ rline(X6)
| ~ ron(sK4,X6)
| ~ ron(sK5,X6)
| ~ ron(sK6,X6) ),
inference(definition_unfolding,[],[f847,f855,f853,f851]) ).
fof(f1336,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| rline(sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f877]) ).
fof(f1337,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| rline(sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f1336]) ).
fof(f1338,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X7,X8) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| rline(sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f1337]) ).
fof(f1339,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X7,X8) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| rline(sK9(X9,X4,X5)) ),
inference(equality_resolution,[],[f1338]) ).
fof(f1340,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vf(X7,X8) = vf(X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X10)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| rline(sK9(X9,X10,X5)) ),
inference(equality_resolution,[],[f1339]) ).
fof(f1341,plain,
! [X10,X11,X8,X6,X9,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X6,X7) != vf(X9,X10)
| vf(X6,X8) != vf(X9,X11)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| rline(sK9(X9,X10,X11)) ),
inference(equality_resolution,[],[f1340]) ).
fof(f1342,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X3,sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f876]) ).
fof(f1343,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X3,sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f1342]) ).
fof(f1344,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X7,X8) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X3,sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f1343]) ).
fof(f1345,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X7,X8) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X9,sK9(X9,X4,X5)) ),
inference(equality_resolution,[],[f1344]) ).
fof(f1346,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vf(X7,X8) = vf(X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X10)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X9,sK9(X9,X10,X5)) ),
inference(equality_resolution,[],[f1345]) ).
fof(f1347,plain,
! [X10,X11,X8,X6,X9,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X6,X7) != vf(X9,X10)
| vf(X6,X8) != vf(X9,X11)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X9,sK9(X9,X10,X11)) ),
inference(equality_resolution,[],[f1346]) ).
fof(f1348,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X4,sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f875]) ).
fof(f1349,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X4,sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f1348]) ).
fof(f1350,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X7,X8) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X4,sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f1349]) ).
fof(f1351,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X7,X8) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X4,sK9(X9,X4,X5)) ),
inference(equality_resolution,[],[f1350]) ).
fof(f1352,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vf(X7,X8) = vf(X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X10)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X10,sK9(X9,X10,X5)) ),
inference(equality_resolution,[],[f1351]) ).
fof(f1354,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X1,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X1 != X7
| ~ rpoint(X8)
| X2 != X8
| X1 = X6
| X2 = X6
| X1 = X2
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X1)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X1,X6,X2)
| ron(X5,sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f874]) ).
fof(f1355,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X4,X5) = vf(X7,X2)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X2 != X8
| X6 = X7
| X2 = X6
| X2 = X7
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X2)
| vangle(X4,X3,X5) != vangle(X7,X6,X2)
| ron(X5,sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f1354]) ).
fof(f1356,plain,
! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X7,X8) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| X3 != X9
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X3,X4) != vf(X6,X7)
| vf(X3,X5) != vf(X6,X8)
| vangle(X4,X3,X5) != vangle(X7,X6,X8)
| ron(X5,sK9(X3,X4,X5)) ),
inference(equality_resolution,[],[f1355]) ).
fof(f1357,plain,
! [X10,X11,X8,X6,X9,X7,X4,X5] :
( vf(X7,X8) = vf(X4,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| X4 != X10
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X4)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X4,X9,X5)
| ron(X5,sK9(X9,X4,X5)) ),
inference(equality_resolution,[],[f1356]) ).
fof(f1358,plain,
! [X10,X11,X8,X6,X9,X7,X5] :
( vf(X7,X8) = vf(X10,X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X5 != X11
| vf(X6,X7) != vf(X9,X10)
| vf(X6,X8) != vf(X9,X5)
| vangle(X7,X6,X8) != vangle(X10,X9,X5)
| ron(X5,sK9(X9,X10,X5)) ),
inference(equality_resolution,[],[f1357]) ).
fof(f1359,plain,
! [X10,X11,X8,X6,X9,X7] :
( vf(X7,X8) = vf(X10,X11)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X6 = X7
| X6 = X8
| X7 = X8
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| vf(X6,X7) != vf(X9,X10)
| vf(X6,X8) != vf(X9,X11)
| vangle(X7,X6,X8) != vangle(X10,X9,X11)
| ron(X11,sK9(X9,X10,X11)) ),
inference(equality_resolution,[],[f1358]) ).
fof(f3586,plain,
! [X2,X3,X1,X4,X5] :
( vg(X3,X1,X2) = vg(X2,X3,X1)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5 ),
inference(equality_resolution,[],[f1269]) ).
fof(f3587,plain,
! [X2,X3,X4,X5] :
( vg(X3,X4,X2) = vg(X2,X3,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5 ),
inference(equality_resolution,[],[f3586]) ).
fof(f3589,plain,
! [X2,X3,X1,X4,X5] :
( vg(X3,X2,X1) = vg(X3,X1,X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5 ),
inference(equality_resolution,[],[f1268]) ).
fof(f3590,plain,
! [X2,X3,X4,X5] :
( vg(X3,X4,X2) = vg(X3,X2,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5 ),
inference(equality_resolution,[],[f3589]) ).
fof(f155,axiom,
! [X760,X761] :
( ( ? [X763] :
( rpoint(X763)
& X760 = X763 )
& ? [X762] :
( rpoint(X762)
& X761 = X762 ) )
=> v0 = vg(X760,X760,X761) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))') ).
fof(f3591,plain,
! [X3,X4,X5] :
( vg(X3,X4,X5) = vg(X3,X5,X4)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f3590]) ).
fof(f307,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> v0 = vg(X0,X0,X1) ),
inference(rectify,[],[f155]) ).
fof(f602,plain,
! [X0,X1] :
( v0 = vg(X0,X0,X1)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f307]) ).
fof(f603,plain,
! [X0,X1] :
( v0 = vg(X0,X0,X1)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f602]) ).
fof(f70,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f1270,plain,
! [X2,X3,X0,X1] :
( v0 = vg(X0,X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f603]) ).
fof(f1082,plain,
v0 = vd684,
inference(cnf_transformation,[],[f70]) ).
cnf(c_49,negated_conjecture,
vf(sK2,sK3) != vf(sK5,sK6),
inference(cnf_transformation,[],[f1271]) ).
cnf(c_50,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f865]) ).
cnf(c_51,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f863]) ).
cnf(c_52,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f861]) ).
cnf(c_53,plain,
sK2 != sK1,
inference(cnf_transformation,[],[f1272]) ).
cnf(c_54,plain,
sK3 != sK1,
inference(cnf_transformation,[],[f1273]) ).
cnf(c_55,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f1274]) ).
cnf(c_56,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f856]) ).
cnf(c_57,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f854]) ).
cnf(c_58,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f852]) ).
cnf(c_59,plain,
vf(sK1,sK2) = vf(sK4,sK5),
inference(cnf_transformation,[],[f1275]) ).
cnf(c_60,plain,
vf(sK1,sK3) = vf(sK4,sK6),
inference(cnf_transformation,[],[f1276]) ).
cnf(c_61,plain,
vangle(sK2,sK1,sK3) = vangle(sK5,sK4,sK6),
inference(cnf_transformation,[],[f1277]) ).
cnf(c_62,plain,
( ~ ron(sK5,X0)
| ~ ron(sK6,X0)
| ~ ron(sK4,X0)
| ~ rline(X0) ),
inference(cnf_transformation,[],[f1278]) ).
cnf(c_71,plain,
( vangle(X0,X1,X2) != vangle(X3,X4,X5)
| vf(X1,X0) != vf(X4,X3)
| vf(X1,X2) != vf(X4,X5)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| vf(X0,X2) = vf(X3,X5)
| X0 = X1
| X0 = X2
| X1 = X2
| rline(sK9(X4,X3,X5)) ),
inference(cnf_transformation,[],[f1341]) ).
cnf(c_72,plain,
( vangle(X0,X1,X2) != vangle(X3,X4,X5)
| vf(X1,X0) != vf(X4,X3)
| vf(X1,X2) != vf(X4,X5)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| vf(X0,X2) = vf(X3,X5)
| X0 = X1
| X0 = X2
| X1 = X2
| ron(X4,sK9(X4,X3,X5)) ),
inference(cnf_transformation,[],[f1347]) ).
cnf(c_74,plain,
( vangle(X0,X1,X2) != vangle(X3,X4,X5)
| vf(X1,X0) != vf(X4,X3)
| vf(X1,X2) != vf(X4,X5)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| vf(X0,X2) = vf(X3,X5)
| X0 = X1
| X0 = X2
| X1 = X2
| ron(X5,sK9(X4,X3,X5)) ),
inference(cnf_transformation,[],[f1359]) ).
cnf(c_46050,negated_conjecture,
sP10_iProver_def != sP11_iProver_def,
inference(demodulation,[status(thm)],[c_49,c_46049,c_46048]) ).
cnf(c_278335,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| vf(X0,X2) = vf(sK5,sK6)
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK5,sK9(sK4,sK5,sK6)) ),
inference(superposition,[status(thm)],[c_61,c_73]) ).
cnf(c_278337,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK5,sK9(sK4,sK5,sK6)) ),
inference(light_normalisation,[status(thm)],[c_278335,c_46049]) ).
cnf(c_278338,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK5,sK9(sK4,sK5,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278337,c_56,c_58,c_57]) ).
cnf(c_278392,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| vf(X0,X2) = vf(sK5,sK6)
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK6,sK9(sK4,sK5,sK6)) ),
inference(superposition,[status(thm)],[c_61,c_74]) ).
cnf(c_278394,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK6,sK9(sK4,sK5,sK6)) ),
inference(light_normalisation,[status(thm)],[c_278392,c_46049]) ).
cnf(c_278395,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK6,sK9(sK4,sK5,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_278394,c_56,c_58,c_57]) ).
cnf(c_493116,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| vf(X0,X2) = vf(sK5,sK6)
| X0 = X1
| X0 = X2
| X1 = X2
| rline(sK9(sK4,sK5,sK6)) ),
inference(superposition,[status(thm)],[c_61,c_71]) ).
cnf(c_493118,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| rline(sK9(sK4,sK5,sK6)) ),
inference(light_normalisation,[status(thm)],[c_493116,c_46049]) ).
cnf(c_493119,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| rline(sK9(sK4,sK5,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_493118,c_56,c_58,c_57]) ).
cnf(c_493173,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| vf(X0,X2) = vf(sK5,sK6)
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK4,sK9(sK4,sK5,sK6)) ),
inference(superposition,[status(thm)],[c_61,c_72]) ).
cnf(c_493175,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK4,sK9(sK4,sK5,sK6)) ),
inference(light_normalisation,[status(thm)],[c_493173,c_46049]) ).
cnf(c_493176,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK4,sK9(sK4,sK5,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_493175,c_56,c_58,c_57]) ).
cnf(c_493230,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| vf(X0,X2) = vf(sK5,sK6)
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK5,sK9(sK4,sK5,sK6)) ),
inference(superposition,[status(thm)],[c_61,c_73]) ).
cnf(c_493232,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(sK5)
| ~ rpoint(sK6)
| ~ rpoint(sK4)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK5,sK9(sK4,sK5,sK6)) ),
inference(light_normalisation,[status(thm)],[c_493230,c_46049]) ).
cnf(c_493233,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK5,sK9(sK4,sK5,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_493232,c_56,c_58,c_57]) ).
fof(f55,axiom,
! [X92,X93,X94,X95,X96,X97,X98,X99] :
( ( rpoint(X93)
& X92 = X93
& rpoint(X95)
& X94 = X95
& rpoint(X97)
& X96 = X97
& rline(X99)
& X98 = X99
& X92 != X94
& X92 != X96
& ron(X92,X98)
& ron(X94,X98) )
=> ( ( ron(X96,X98)
& ~ rR(X92,X94,X96) )
<=> v0 = vangle(X94,X92,X96) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f2966,plain,
! [X3,X1,X7,X5] :
( ~ rR(X1,X3,X5)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ),
inference(equality_resolution,[],[f2965]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rline(X7)
& X6 = X7
& X0 != X2
& X0 != X4
& ron(X0,X6)
& ron(X2,X6) )
=> ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) ) ),
inference(rectify,[],[f55]) ).
fof(f416,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(ennf_transformation,[],[f210]) ).
fof(f417,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
<=> v0 = vangle(X2,X0,X4) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(flattening,[],[f416]) ).
fof(f743,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
| v0 != vangle(X2,X0,X4) )
& ( v0 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4) ) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(nnf_transformation,[],[f417]) ).
fof(f744,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ron(X4,X6)
& ~ rR(X0,X2,X4) )
| v0 != vangle(X2,X0,X4) )
& ( v0 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4) ) )
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(flattening,[],[f743]) ).
fof(f1064,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v0 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(cnf_transformation,[],[f744]) ).
fof(f1065,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| v0 != vangle(X2,X0,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(cnf_transformation,[],[f744]) ).
fof(f1282,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X0,X2,X4)
| vd684 != vangle(X2,X0,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(definition_unfolding,[],[f1065,f1082]) ).
fof(f1283,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vd684 = vangle(X2,X0,X4)
| ~ ron(X4,X6)
| rR(X0,X2,X4)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X0 = X2
| X0 = X4
| ~ ron(X0,X6)
| ~ ron(X2,X6) ),
inference(definition_unfolding,[],[f1064,f1082]) ).
fof(f2963,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X4)
| vd684 != vangle(X2,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X2
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X2,X6) ),
inference(equality_resolution,[],[f1282]) ).
fof(f2964,plain,
! [X3,X1,X6,X7,X4,X5] :
( ~ rR(X1,X3,X4)
| vd684 != vangle(X3,X1,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f2963]) ).
fof(f2965,plain,
! [X3,X1,X6,X7,X5] :
( ~ rR(X1,X3,X5)
| vd684 != vangle(X3,X1,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X5
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f2964]) ).
fof(f2967,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( vd684 = vangle(X2,X1,X4)
| ~ ron(X4,X6)
| rR(X1,X2,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X2
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X2,X6) ),
inference(equality_resolution,[],[f1283]) ).
fof(f2968,plain,
! [X3,X1,X6,X7,X4,X5] :
( vd684 = vangle(X3,X1,X4)
| ~ ron(X4,X6)
| rR(X1,X3,X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| X4 != X5
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X4
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f2967]) ).
fof(f2969,plain,
! [X3,X1,X6,X7,X5] :
( vd684 = vangle(X3,X1,X5)
| ~ ron(X5,X6)
| rR(X1,X3,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X6 != X7
| X1 = X3
| X1 = X5
| ~ ron(X1,X6)
| ~ ron(X3,X6) ),
inference(equality_resolution,[],[f2968]) ).
fof(f56,axiom,
! [X100,X101,X102,X103,X104] :
( ( ? [X107] :
( rpoint(X107)
& X100 = X107 )
& ? [X106] :
( rpoint(X106)
& X101 = X106 )
& ? [X105] :
( rpoint(X105)
& X102 = X105 )
& rline(X104)
& X103 = X104
& rR(X101,X100,X102)
& ron(X101,X103) )
=> ~ rS(X100,X102,X103) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))') ).
fof(f2970,plain,
! [X3,X1,X7,X5] :
( vd684 = vangle(X3,X1,X5)
| ~ ron(X5,X7)
| rR(X1,X3,X5)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rline(X7)
| X1 = X3
| X1 = X5
| ~ ron(X1,X7)
| ~ ron(X3,X7) ),
inference(equality_resolution,[],[f2969]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& rR(X1,X0,X2)
& ron(X1,X3) )
=> ~ rS(X0,X2,X3) ),
inference(rectify,[],[f56]) ).
fof(f418,plain,
! [X0,X1,X2,X3,X4] :
( ~ rS(X0,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f211]) ).
fof(f419,plain,
! [X0,X1,X2,X3,X4] :
( ~ rS(X0,X2,X3)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X1,X3) ),
inference(flattening,[],[f418]) ).
fof(f1067,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rS(X0,X2,X3)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f419]) ).
fof(f2971,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ rS(X5,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X1,X5,X2)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f1067]) ).
fof(f2972,plain,
! [X2,X3,X6,X7,X4,X5] :
( ~ rS(X5,X2,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X2)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f2971]) ).
fof(f2973,plain,
! [X3,X6,X7,X4,X5] :
( ~ rS(X5,X7,X3)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| X3 != X4
| ~ rR(X6,X5,X7)
| ~ ron(X6,X3) ),
inference(equality_resolution,[],[f2972]) ).
fof(f57,axiom,
! [X108,X109,X110,X111] :
( ( ? [X113] :
( rpoint(X113)
& X108 = X113 )
& ? [X112] :
( rpoint(X112)
& X109 = X112 )
& rline(X111)
& X110 = X111
& rS(X108,X109,X110) )
=> ~ ron(X108,X110) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(f2974,plain,
! [X6,X7,X4,X5] :
( ~ rS(X5,X7,X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| ~ rline(X4)
| ~ rR(X6,X5,X7)
| ~ ron(X6,X4) ),
inference(equality_resolution,[],[f2973]) ).
fof(f212,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& rline(X3)
& X2 = X3
& rS(X0,X1,X2) )
=> ~ ron(X0,X2) ),
inference(rectify,[],[f57]) ).
fof(f420,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(ennf_transformation,[],[f212]) ).
fof(f421,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(flattening,[],[f420]) ).
fof(f1068,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X0,X2)
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[],[f421]) ).
fof(f2975,plain,
! [X2,X3,X1,X4,X5] :
( ~ ron(X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X1,X2) ),
inference(equality_resolution,[],[f1068]) ).
fof(f2976,plain,
! [X2,X3,X4,X5] :
( ~ ron(X4,X2)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| X2 != X3
| ~ rS(X4,X5,X2) ),
inference(equality_resolution,[],[f2975]) ).
fof(f58,axiom,
! [X114,X115] :
( ( ? [X117] :
( rpoint(X117)
& X114 = X117 )
& ? [X116] :
( rpoint(X116)
& X115 = X116 )
& X114 != X115 )
=> ! [X118,X119] :
( ( rpoint(X119)
& X114 != X118
& X115 != X118
& X118 = X119 )
=> vf(X114,X115) = vf(X118,vskolem1078(X118,X119,X114,X115)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 0)') ).
fof(f2977,plain,
! [X3,X4,X5] :
( ~ ron(X4,X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rline(X3)
| ~ rS(X4,X5,X3) ),
inference(equality_resolution,[],[f2976]) ).
fof(f213,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ! [X4,X5] :
( ( rpoint(X5)
& X0 != X4
& X1 != X4
& X4 = X5 )
=> vf(X0,X1) = vf(X4,vskolem1078(X4,X5,X0,X1)) ) ),
inference(rectify,[],[f58]) ).
fof(f422,plain,
! [X0,X1] :
( ! [X4,X5] :
( vf(X0,X1) = vf(X4,vskolem1078(X4,X5,X0,X1))
| ~ rpoint(X5)
| X0 = X4
| X1 = X4
| X4 != X5 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f213]) ).
fof(f423,plain,
! [X0,X1] :
( ! [X4,X5] :
( vf(X0,X1) = vf(X4,vskolem1078(X4,X5,X0,X1))
| ~ rpoint(X5)
| X0 = X4
| X1 = X4
| X4 != X5 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f422]) ).
fof(f745,plain,
! [X0,X1] :
( ! [X2,X3] :
( vf(X0,X1) = vf(X2,vskolem1078(X2,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X2
| X1 = X2
| X2 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1 ),
inference(rectify,[],[f423]) ).
fof(f1069,plain,
! [X2,X3,X0,X1,X4,X5] :
( vf(X0,X1) = vf(X2,vskolem1078(X2,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X2
| X1 = X2
| X2 != X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1 ),
inference(cnf_transformation,[],[f745]) ).
fof(f2978,plain,
! [X3,X0,X1,X4,X5] :
( vf(X0,X1) = vf(X3,vskolem1078(X3,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X3
| X1 = X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1 ),
inference(equality_resolution,[],[f1069]) ).
fof(f2979,plain,
! [X3,X1,X4,X5] :
( vf(X4,X1) = vf(X3,vskolem1078(X3,X3,X4,X1))
| ~ rpoint(X3)
| X3 = X4
| X1 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| X1 = X4 ),
inference(equality_resolution,[],[f2978]) ).
fof(f59,axiom,
! [X114,X115] :
( ( ? [X117] :
( rpoint(X117)
& X114 = X117 )
& ? [X116] :
( rpoint(X116)
& X115 = X116 )
& X114 != X115 )
=> ! [X118,X119] :
( ( rpoint(X119)
& X114 != X118
& X115 != X118
& X118 = X119 )
=> rpoint(vskolem1078(X118,X119,X114,X115)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 1)') ).
fof(f2980,plain,
! [X3,X4,X5] :
( vf(X4,X5) = vf(X3,vskolem1078(X3,X3,X4,X5))
| ~ rpoint(X3)
| X3 = X4
| X3 = X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5 ),
inference(equality_resolution,[],[f2979]) ).
fof(f214,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 )
& X0 != X1 )
=> ! [X4,X5] :
( ( rpoint(X5)
& X0 != X4
& X1 != X4
& X4 = X5 )
=> rpoint(vskolem1078(X4,X5,X0,X1)) ) ),
inference(rectify,[],[f59]) ).
fof(f424,plain,
! [X0,X1] :
( ! [X4,X5] :
( rpoint(vskolem1078(X4,X5,X0,X1))
| ~ rpoint(X5)
| X0 = X4
| X1 = X4
| X4 != X5 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(ennf_transformation,[],[f214]) ).
fof(f425,plain,
! [X0,X1] :
( ! [X4,X5] :
( rpoint(vskolem1078(X4,X5,X0,X1))
| ~ rpoint(X5)
| X0 = X4
| X1 = X4
| X4 != X5 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1 ),
inference(flattening,[],[f424]) ).
fof(f746,plain,
! [X0,X1] :
( ! [X2,X3] :
( rpoint(vskolem1078(X2,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X2
| X1 = X2
| X2 != X3 )
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1 ),
inference(rectify,[],[f425]) ).
fof(f1070,plain,
! [X2,X3,X0,X1,X4,X5] :
( rpoint(vskolem1078(X2,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X2
| X1 = X2
| X2 != X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1 ),
inference(cnf_transformation,[],[f746]) ).
fof(f2981,plain,
! [X3,X0,X1,X4,X5] :
( rpoint(vskolem1078(X3,X3,X0,X1))
| ~ rpoint(X3)
| X0 = X3
| X1 = X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1 ),
inference(equality_resolution,[],[f1070]) ).
fof(f2982,plain,
! [X3,X1,X4,X5] :
( rpoint(vskolem1078(X3,X3,X4,X1))
| ~ rpoint(X3)
| X3 = X4
| X1 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| X1 = X4 ),
inference(equality_resolution,[],[f2981]) ).
fof(f60,axiom,
! [X120,X121,X122,X123,X124] :
( ( ? [X127] :
( rpoint(X127)
& X120 = X127 )
& ? [X126] :
( rpoint(X126)
& X121 = X126 )
& ? [X125] :
( rpoint(X125)
& X122 = X125 )
& X120 != X121
& X120 != X122
& X121 != X122
& rline(X124)
& ron(X120,X123)
& ron(X121,X123)
& ron(X122,X123)
& X123 = X124 )
=> ( rR(X122,X120,X121)
| rR(X120,X121,X122)
| rR(X121,X120,X122) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f2983,plain,
! [X3,X4,X5] :
( rpoint(vskolem1078(X3,X3,X4,X5))
| ~ rpoint(X3)
| X3 = X4
| X3 = X5
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5 ),
inference(equality_resolution,[],[f2982]) ).
fof(f215,plain,
! [X0,X1,X2,X3,X4] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& X0 != X1
& X0 != X2
& X1 != X2
& rline(X4)
& ron(X0,X3)
& ron(X1,X3)
& ron(X2,X3)
& X3 = X4 )
=> ( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2) ) ),
inference(rectify,[],[f60]) ).
fof(f426,plain,
! [X0,X1,X2,X3,X4] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(ennf_transformation,[],[f215]) ).
fof(f427,plain,
! [X0,X1,X2,X3,X4] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X7] :
( ~ rpoint(X7)
| X2 != X7 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(flattening,[],[f426]) ).
fof(f1071,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2)
| ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(cnf_transformation,[],[f427]) ).
fof(f2984,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( rR(X2,X5,X1)
| rR(X5,X1,X2)
| rR(X1,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X7)
| X2 != X7
| X1 = X5
| X2 = X5
| X1 = X2
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f1071]) ).
fof(f2985,plain,
! [X2,X3,X6,X7,X4,X5] :
( rR(X2,X5,X6)
| rR(X5,X6,X2)
| rR(X6,X5,X2)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X2 != X7
| X5 = X6
| X2 = X5
| X2 = X6
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| ~ ron(X2,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f2984]) ).
fof(f2986,plain,
! [X3,X6,X7,X4,X5] :
( rR(X7,X5,X6)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X4)
| ~ ron(X5,X3)
| ~ ron(X6,X3)
| ~ ron(X7,X3)
| X3 != X4 ),
inference(equality_resolution,[],[f2985]) ).
fof(f61,axiom,
! [X128,X129,X130,X131] :
( ( ? [X135] :
( rpoint(X135)
& X128 = X135 )
& ? [X134] :
( rpoint(X134)
& X129 = X134 )
& X128 != X129
& ? [X133] :
( rline(X133)
& X130 = X133 )
& ? [X132] :
( rline(X132)
& X131 = X132 )
& ron(X128,X130)
& ron(X128,X131)
& ron(X129,X130)
& ron(X129,X131) )
=> X130 = X131 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f2987,plain,
! [X6,X7,X4,X5] :
( rR(X7,X5,X6)
| rR(X5,X6,X7)
| rR(X6,X5,X7)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7)
| X5 = X6
| X5 = X7
| X6 = X7
| ~ rline(X4)
| ~ ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X7,X4) ),
inference(equality_resolution,[],[f2986]) ).
fof(f216,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( rpoint(X4)
& X0 = X4 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& X0 != X1
& ? [X6] :
( rline(X6)
& X2 = X6 )
& ? [X7] :
( rline(X7)
& X3 = X7 )
& ron(X0,X2)
& ron(X0,X3)
& ron(X1,X2)
& ron(X1,X3) )
=> X2 = X3 ),
inference(rectify,[],[f61]) ).
fof(f428,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(ennf_transformation,[],[f216]) ).
fof(f429,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X5] :
( ~ rpoint(X5)
| X1 != X5 )
| X0 = X1
| ! [X6] :
( ~ rline(X6)
| X2 != X6 )
| ! [X7] :
( ~ rline(X7)
| X3 != X7 )
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(flattening,[],[f428]) ).
fof(f1072,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X5)
| X1 != X5
| X0 = X1
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X0,X2)
| ~ ron(X0,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(cnf_transformation,[],[f429]) ).
fof(f2988,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X5
| X1 = X4
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X1,X2)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f1072]) ).
fof(f2989,plain,
! [X2,X3,X6,X7,X4,X5] :
( X2 = X3
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| X2 != X6
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| ~ ron(X5,X2)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f2988]) ).
fof(f2990,plain,
! [X3,X6,X7,X4,X5] :
( X3 = X6
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| X3 != X7
| ~ ron(X4,X6)
| ~ ron(X4,X3)
| ~ ron(X5,X6)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f2989]) ).
fof(f62,axiom,
! [X136,X137,X138,X139] :
( ( rpoint(X137)
& X136 = X137
& rpoint(X139)
& X136 != X138
& X138 = X139 )
=> vf(X138,vskolem1052(X136,X137,X138,X139)) = vf(vskolem1052(X136,X137,X138,X139),X136) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 0)') ).
fof(f2991,plain,
! [X6,X7,X4,X5] :
( X6 = X7
| ~ rpoint(X4)
| ~ rpoint(X5)
| X4 = X5
| ~ rline(X6)
| ~ rline(X7)
| ~ ron(X4,X6)
| ~ ron(X4,X7)
| ~ ron(X5,X6)
| ~ ron(X5,X7) ),
inference(equality_resolution,[],[f2990]) ).
fof(f217,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X0 != X2
& X2 = X3 )
=> vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0) ),
inference(rectify,[],[f62]) ).
fof(f430,plain,
! [X0,X1,X2,X3] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(ennf_transformation,[],[f217]) ).
fof(f431,plain,
! [X0,X1,X2,X3] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(flattening,[],[f430]) ).
fof(f1073,plain,
! [X2,X3,X0,X1] :
( vf(X2,vskolem1052(X0,X1,X2,X3)) = vf(vskolem1052(X0,X1,X2,X3),X0)
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(cnf_transformation,[],[f431]) ).
fof(f2992,plain,
! [X2,X3,X1] :
( vf(X2,vskolem1052(X1,X1,X2,X3)) = vf(vskolem1052(X1,X1,X2,X3),X1)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X2
| X2 != X3 ),
inference(equality_resolution,[],[f1073]) ).
fof(f63,axiom,
! [X136,X137,X138,X139] :
( ( rpoint(X137)
& X136 = X137
& rpoint(X139)
& X136 != X138
& X138 = X139 )
=> vf(X138,vskolem1052(X136,X137,X138,X139)) = vf(X136,X138) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 1)') ).
fof(f2993,plain,
! [X3,X1] :
( vf(X3,vskolem1052(X1,X1,X3,X3)) = vf(vskolem1052(X1,X1,X3,X3),X1)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 ),
inference(equality_resolution,[],[f2992]) ).
fof(f218,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X0 != X2
& X2 = X3 )
=> vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3)) ),
inference(rectify,[],[f63]) ).
fof(f432,plain,
! [X0,X1,X2,X3] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(ennf_transformation,[],[f218]) ).
fof(f433,plain,
! [X0,X1,X2,X3] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(flattening,[],[f432]) ).
fof(f1074,plain,
! [X2,X3,X0,X1] :
( vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(cnf_transformation,[],[f433]) ).
fof(f2994,plain,
! [X2,X3,X1] :
( vf(X1,X2) = vf(X2,vskolem1052(X1,X1,X2,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X2
| X2 != X3 ),
inference(equality_resolution,[],[f1074]) ).
fof(f64,axiom,
! [X136,X137,X138,X139] :
( ( rpoint(X137)
& X136 = X137
& rpoint(X139)
& X136 != X138
& X138 = X139 )
=> rpoint(vskolem1052(X136,X137,X138,X139)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 2)') ).
fof(f2995,plain,
! [X3,X1] :
( vf(X1,X3) = vf(X3,vskolem1052(X1,X1,X3,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 ),
inference(equality_resolution,[],[f2994]) ).
fof(f219,plain,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X0 != X2
& X2 = X3 )
=> rpoint(vskolem1052(X0,X1,X2,X3)) ),
inference(rectify,[],[f64]) ).
fof(f434,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(ennf_transformation,[],[f219]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(flattening,[],[f434]) ).
fof(f1075,plain,
! [X2,X3,X0,X1] :
( rpoint(vskolem1052(X0,X1,X2,X3))
| ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X0 = X2
| X2 != X3 ),
inference(cnf_transformation,[],[f435]) ).
fof(f2996,plain,
! [X2,X3,X1] :
( rpoint(vskolem1052(X1,X1,X2,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X2
| X2 != X3 ),
inference(equality_resolution,[],[f1075]) ).
fof(f65,axiom,
! [X140,X141] :
( ( ? [X143] :
( rpoint(X143)
& X140 = X143 )
& ? [X142] :
( rpoint(X142)
& X141 = X142 ) )
=> vf(X140,X141) = vf(X141,X140) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f2997,plain,
! [X3,X1] :
( rpoint(vskolem1052(X1,X1,X3,X3))
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3 ),
inference(equality_resolution,[],[f2996]) ).
fof(f220,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> vf(X0,X1) = vf(X1,X0) ),
inference(rectify,[],[f65]) ).
fof(f436,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f220]) ).
fof(f437,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f436]) ).
fof(f1076,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f437]) ).
fof(f2998,plain,
! [X2,X3,X1] :
( vf(X1,X2) = vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f1076]) ).
fof(f2999,plain,
! [X2,X3] :
( vf(X3,X2) = vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f2998]) ).
cnf(c_273,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X0,X1) = vf(X1,X0) ),
inference(cnf_transformation,[],[f2999]) ).
cnf(c_68333,plain,
( ~ rpoint(X0)
| vf(X0,sK1) = vf(sK1,X0) ),
inference(superposition,[status(thm)],[c_50,c_273]) ).
cnf(c_69627,plain,
vf(sK2,sK1) = vf(sK1,sK2),
inference(superposition,[status(thm)],[c_51,c_68333]) ).
cnf(c_69628,plain,
vf(sK3,sK1) = vf(sK1,sK3),
inference(superposition,[status(thm)],[c_52,c_68333]) ).
cnf(c_69712,plain,
vf(sK2,sK1) = vf(sK4,sK5),
inference(demodulation,[status(thm)],[c_59,c_69627]) ).
cnf(c_69735,plain,
vf(sK3,sK1) = vf(sK4,sK6),
inference(demodulation,[status(thm)],[c_60,c_69628]) ).
cnf(c_492627,plain,
vf(sK2,sK1) = vf(sK1,sK2),
inference(demodulation,[status(thm)],[c_59,c_69712]) ).
cnf(c_492628,plain,
vf(sK3,sK1) = vf(sK1,sK3),
inference(demodulation,[status(thm)],[c_60,c_69735]) ).
cnf(c_557745,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| rline(sK9(sK4,sK5,sK6)) ),
inference(demodulation,[status(thm)],[c_493119,c_69712,c_69735]) ).
cnf(c_557780,plain,
( vf(sK2,sK1) != vf(sK1,sK2)
| vf(sK3,sK1) != vf(sK1,sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| vf(sK2,sK3) = sP11_iProver_def
| sK2 = sK3
| sK2 = sK1
| sK3 = sK1
| rline(sK9(sK4,sK5,sK6)) ),
inference(equality_resolution,[status(thm)],[c_557745]) ).
cnf(c_557781,plain,
( vf(sK2,sK1) != vf(sK1,sK2)
| vf(sK3,sK1) != vf(sK1,sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| sK2 = sK3
| sK2 = sK1
| sK3 = sK1
| sP10_iProver_def = sP11_iProver_def
| rline(sK9(sK4,sK5,sK6)) ),
inference(light_normalisation,[status(thm)],[c_557780,c_46048]) ).
cnf(c_557782,plain,
rline(sK9(sK4,sK5,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_557781,c_46050,c_54,c_53,c_55,c_50,c_52,c_51,c_492628,c_492627]) ).
cnf(c_557828,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2
| ron(sK4,sK9(sK4,sK5,sK6)) ),
inference(demodulation,[status(thm)],[c_493176,c_69712,c_69735]) ).
cnf(c_557863,plain,
( vf(sK2,sK1) != vf(sK1,sK2)
| vf(sK3,sK1) != vf(sK1,sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| vf(sK2,sK3) = sP11_iProver_def
| sK2 = sK3
| sK2 = sK1
| sK3 = sK1
| ron(sK4,sK9(sK4,sK5,sK6)) ),
inference(equality_resolution,[status(thm)],[c_557828]) ).
cnf(c_557864,plain,
( vf(sK2,sK1) != vf(sK1,sK2)
| vf(sK3,sK1) != vf(sK1,sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| sK2 = sK3
| sK2 = sK1
| sK3 = sK1
| sP10_iProver_def = sP11_iProver_def
| ron(sK4,sK9(sK4,sK5,sK6)) ),
inference(light_normalisation,[status(thm)],[c_557863,c_46048]) ).
cnf(c_557865,plain,
ron(sK4,sK9(sK4,sK5,sK6)),
inference(forward_subsumption_resolution,[status(thm)],[c_557864,c_46050,c_54,c_53,c_55,c_50,c_52,c_51,c_492628,c_492627]) ).
cnf(c_557908,plain,
( ~ ron(sK5,sK9(sK4,sK5,sK6))
| ~ ron(sK6,sK9(sK4,sK5,sK6))
| ~ rline(sK9(sK4,sK5,sK6)) ),
inference(superposition,[status(thm)],[c_557865,c_62]) ).
cnf(c_557949,plain,
( ~ ron(sK5,sK9(sK4,sK5,sK6))
| ~ ron(sK6,sK9(sK4,sK5,sK6)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_557908,c_557782]) ).
cnf(c_558539,plain,
( X1 = X2
| X0 = X2
| X0 = X1
| vf(X0,X2) = sP11_iProver_def
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| vf(X1,X2) != vf(sK4,sK6)
| vf(X1,X0) != vf(sK4,sK5)
| vangle(X0,X1,X2) != vangle(sK2,sK1,sK3) ),
inference(global_subsumption_just,[status(thm)],[c_493233,c_278338,c_278395,c_557949]) ).
cnf(c_558540,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK4,sK5)
| vf(X1,X2) != vf(sK4,sK6)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(renaming,[status(thm)],[c_558539]) ).
cnf(c_558541,plain,
( vangle(X0,X1,X2) != vangle(sK2,sK1,sK3)
| vf(X1,X0) != vf(sK2,sK1)
| vf(X1,X2) != vf(sK3,sK1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| vf(X0,X2) = sP11_iProver_def
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(demodulation,[status(thm)],[c_558540,c_69712,c_69735]) ).
cnf(c_558573,plain,
( vf(sK2,sK1) != vf(sK1,sK2)
| vf(sK3,sK1) != vf(sK1,sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| vf(sK2,sK3) = sP11_iProver_def
| sK2 = sK3
| sK2 = sK1
| sK3 = sK1 ),
inference(equality_resolution,[status(thm)],[c_558541]) ).
cnf(c_558574,plain,
( vf(sK2,sK1) != vf(sK1,sK2)
| vf(sK3,sK1) != vf(sK1,sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| sK2 = sK3
| sK2 = sK1
| sK3 = sK1
| sP10_iProver_def = sP11_iProver_def ),
inference(light_normalisation,[status(thm)],[c_558573,c_46048]) ).
cnf(c_558575,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_558574,c_46050,c_54,c_53,c_55,c_50,c_52,c_51,c_492628,c_492627]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO287+1 : TPTP v8.2.0. Released v4.1.0.
% 0.00/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 07:53:09 EDT 2024
% 0.12/0.33 % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 237.17/31.85 % SZS status Started for theBenchmark.p
% 237.17/31.85 % SZS status Theorem for theBenchmark.p
% 237.17/31.85
% 237.17/31.85 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 237.17/31.85
% 237.17/31.85 ------ iProver source info
% 237.17/31.85
% 237.17/31.85 git: date: 2024-06-12 09:56:46 +0000
% 237.17/31.85 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 237.17/31.85 git: non_committed_changes: false
% 237.17/31.85
% 237.17/31.85 ------ Parsing...
% 237.17/31.85 ------ Clausification by vclausify_rel & Parsing by iProver...
% 237.17/31.85
% 237.17/31.85 ------ 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
% 237.17/31.85
% 237.17/31.85 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 237.17/31.85
% 237.17/31.85 ------ Preprocessing... sf_s rm: 3 0s sf_e sf_s rm: 0 0s sf_e
% 237.17/31.85 ------ Proving...
% 237.17/31.85 ------ Problem Properties
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85 clauses 418
% 237.17/31.85 conjectures 1
% 237.17/31.85 EPR 64
% 237.17/31.85 Horn 173
% 237.17/31.85 unary 17
% 237.17/31.85 binary 42
% 237.17/31.85 lits 5356
% 237.17/31.85 lits eq 2062
% 237.17/31.85 fd_pure 0
% 237.17/31.85 fd_pseudo 0
% 237.17/31.85 fd_cond 0
% 237.17/31.85 fd_pseudo_cond 214
% 237.17/31.85 AC symbols 0
% 237.17/31.85
% 237.17/31.85 ------ Schedule dynamic 5 is on
% 237.17/31.85
% 237.17/31.85 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85 ------
% 237.17/31.85 Current options:
% 237.17/31.85 ------
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85 ------ Proving...
% 237.17/31.85 Proof_search_loop: time out after: 8386 full_loop iterations
% 237.17/31.85
% 237.17/31.85 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85 ------
% 237.17/31.85 Current options:
% 237.17/31.85 ------
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85 ------ Proving...
% 237.17/31.85 Proof_search_loop: time out after: 11650 full_loop iterations
% 237.17/31.85
% 237.17/31.85 ------ Option_1: Negative Selections Time Limit: 35.
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85 ------
% 237.17/31.85 Current options:
% 237.17/31.85 ------
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85 ------ Proving...
% 237.17/31.85
% 237.17/31.85
% 237.17/31.85 % SZS status Theorem for theBenchmark.p
% 237.17/31.85
% 237.17/31.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 237.17/31.86
% 237.17/31.86
%------------------------------------------------------------------------------