TSTP Solution File: GEO298+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO298+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:17:25 EDT 2024
% Result : Theorem 113.41s 15.74s
% Output : CNFRefutation 113.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f1141)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( rR(vd1187,vd1185,vd1201)
| rR(vd1201,vd1185,vd1187) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(321)') ).
fof(f2,negated_conjecture,
~ ( rR(vd1187,vd1185,vd1201)
| rR(vd1201,vd1185,vd1187) ),
inference(negated_conjecture,[],[f1]) ).
fof(f10,axiom,
? [X8] :
( rpoint(X8)
& vd1201 = X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f57,axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(270))') ).
fof(f12,axiom,
( ? [X15] :
( rpoint(X15)
& vd1178 = X15 )
& ? [X14] :
( rpoint(X14)
& vd1179 = X14 )
& ? [X13] :
( rpoint(X13)
& vd1180 = X13 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X12] :
( rpoint(X12)
& vd1185 = X12 )
& ? [X11] :
( rpoint(X11)
& vd1186 = X11 )
& ? [X10] :
( rpoint(X10)
& vd1187 = X10 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X9] :
( rline(X9)
& ron(vd1185,X9)
& ron(vd1186,X9)
& ron(vd1187,X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f697,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[],[f57]) ).
fof(f161,plain,
? [X0] :
( rpoint(X0)
& vd1201 = X0 ),
inference(rectify,[],[f10]) ).
fof(f162,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
& ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X6] :
( rline(X6)
& ron(vd1185,X6)
& ron(vd1186,X6)
& ron(vd1187,X6) ) ),
inference(rectify,[],[f12]) ).
fof(f275,plain,
( ~ rR(vd1187,vd1185,vd1201)
& ~ rR(vd1201,vd1185,vd1187) ),
inference(ennf_transformation,[],[f2]) ).
fof(f278,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
& ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
& ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
& ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ! [X6] :
( ~ rline(X6)
| ~ ron(vd1185,X6)
| ~ ron(vd1186,X6)
| ~ ron(vd1187,X6) ) ),
inference(ennf_transformation,[],[f162]) ).
fof(f493,plain,
( ? [X0] :
( rpoint(X0)
& vd1201 = X0 )
=> ( rpoint(sK1)
& vd1201 = sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f494,plain,
( rpoint(sK1)
& vd1201 = sK1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f161,f493]) ).
fof(f495,plain,
( ? [X0] :
( rpoint(X0)
& vd1178 = X0 )
=> ( rpoint(sK2)
& vd1178 = sK2 ) ),
introduced(choice_axiom,[]) ).
fof(f496,plain,
( ? [X1] :
( rpoint(X1)
& vd1179 = X1 )
=> ( rpoint(sK3)
& vd1179 = sK3 ) ),
introduced(choice_axiom,[]) ).
fof(f497,plain,
( ? [X2] :
( rpoint(X2)
& vd1180 = X2 )
=> ( rpoint(sK4)
& vd1180 = sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f498,plain,
( ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
=> ( rpoint(sK5)
& vd1185 = sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f499,plain,
( ? [X4] :
( rpoint(X4)
& vd1186 = X4 )
=> ( rpoint(sK6)
& vd1186 = sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f500,plain,
( ? [X5] :
( rpoint(X5)
& vd1187 = X5 )
=> ( rpoint(sK7)
& vd1187 = sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f501,plain,
( rpoint(sK2)
& vd1178 = sK2
& rpoint(sK3)
& vd1179 = sK3
& rpoint(sK4)
& vd1180 = sK4
& vd1179 != vd1178
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(sK5)
& vd1185 = sK5
& rpoint(sK6)
& vd1186 = sK6
& rpoint(sK7)
& vd1187 = sK7
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ! [X6] :
( ~ rline(X6)
| ~ ron(vd1185,X6)
| ~ ron(vd1186,X6)
| ~ ron(vd1187,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7])],[f278,f500,f499,f498,f497,f496,f495]) ).
fof(f617,plain,
~ rR(vd1201,vd1185,vd1187),
inference(cnf_transformation,[],[f275]) ).
fof(f618,plain,
~ rR(vd1187,vd1185,vd1201),
inference(cnf_transformation,[],[f275]) ).
fof(f626,plain,
vd1201 = sK1,
inference(cnf_transformation,[],[f494]) ).
fof(f633,plain,
vd1187 = sK7,
inference(cnf_transformation,[],[f501]) ).
fof(f634,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f501]) ).
fof(f637,plain,
vd1185 = sK5,
inference(cnf_transformation,[],[f501]) ).
fof(f3,axiom,
vd1201 != vd1187,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(320, 1251, 0)') ).
fof(f921,plain,
~ rR(sK1,sK5,sK7),
inference(definition_unfolding,[],[f617,f626,f637,f633]) ).
fof(f619,plain,
vd1201 != vd1187,
inference(cnf_transformation,[],[f3]) ).
fof(f638,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f501]) ).
fof(f920,plain,
~ rR(sK7,sK5,sK1),
inference(definition_unfolding,[],[f618,f633,f637,f626]) ).
fof(f922,plain,
sK1 != sK7,
inference(definition_unfolding,[],[f619,f626,f633]) ).
cnf(c_49,negated_conjecture,
~ rR(sK7,sK5,sK1),
inference(cnf_transformation,[],[f920]) ).
cnf(c_50,negated_conjecture,
~ rR(sK1,sK5,sK7),
inference(cnf_transformation,[],[f921]) ).
cnf(c_51,plain,
sK7 != sK1,
inference(cnf_transformation,[],[f922]) ).
cnf(c_53,plain,
~ rR(sK5,sK1,sK7),
inference(cnf_transformation,[],[f924]) ).
cnf(c_54,plain,
( ~ ron(X0,X1)
| ~ ron(X2,X1)
| ~ ron(X3,X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rline(X1)
| X0 = X2
| X0 = X3
| X2 = X3
| rR(X0,X2,X3)
| rR(X2,X3,X0)
| rR(X3,X2,X0) ),
inference(cnf_transformation,[],[f981]) ).
cnf(c_58,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f627]) ).
cnf(c_66,plain,
rpoint(sK5),
inference(cnf_transformation,[],[f638]) ).
cnf(c_68,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f634]) ).
cnf(c_75,plain,
ron(sK7,vd1232),
inference(cnf_transformation,[],[f936]) ).
cnf(c_88,plain,
ron(sK5,vd1197),
inference(cnf_transformation,[],[f947]) ).
cnf(c_90,plain,
ron(sK1,vd1232),
inference(cnf_transformation,[],[f949]) ).
cnf(c_94,plain,
vf(sK5,sK7) = vf(sK9,sK1),
inference(cnf_transformation,[],[f952]) ).
cnf(c_102,plain,
ron(sK5,vd1232),
inference(cnf_transformation,[],[f959]) ).
cnf(c_103,plain,
rline(vd1232),
inference(cnf_transformation,[],[f680]) ).
cnf(c_105,plain,
sK5 = sK9,
inference(cnf_transformation,[],[f961]) ).
cnf(c_106,plain,
( sK5 = sK9
| rR(sK5,sK9,sK6)
| rR(sK9,sK5,sK6) ),
inference(cnf_transformation,[],[f962]) ).
cnf(c_115,plain,
( ~ rpoint(X0)
| vf(X0,X0) = vd684 ),
inference(cnf_transformation,[],[f1676]) ).
cnf(c_120,plain,
~ ron(sK7,vd1197),
inference(cnf_transformation,[],[f970]) ).
cnf(c_164,plain,
( ~ rpoint(X0)
| ~ rpoint(X1)
| vf(X0,X1) = vf(X1,X0) ),
inference(cnf_transformation,[],[f1141]) ).
cnf(c_508,plain,
sK5 = sK9,
inference(global_subsumption_just,[status(thm)],[c_106,c_105]) ).
cnf(c_3544,plain,
vf(sK5,sK7) = vf(sK5,sK1),
inference(light_normalisation,[status(thm)],[c_94,c_508]) ).
cnf(c_9320,plain,
vf(sK5,sK7) = vf(sK5,sK1),
inference(subtyping,[status(esa)],[c_3544]) ).
cnf(c_9496,plain,
( ~ rpoint(X0_14)
| ~ rpoint(X1_14)
| vf(X0_14,X1_14) = vf(X1_14,X0_14) ),
inference(subtyping,[status(esa)],[c_164]) ).
cnf(c_9539,plain,
~ ron(sK7,vd1197),
inference(subtyping,[status(esa)],[c_120]) ).
cnf(c_9544,plain,
( ~ rpoint(X0_14)
| vf(X0_14,X0_14) = vd684 ),
inference(subtyping,[status(esa)],[c_115]) ).
cnf(c_9566,plain,
rpoint(sK7),
inference(subtyping,[status(esa)],[c_68]) ).
cnf(c_9568,plain,
rpoint(sK5),
inference(subtyping,[status(esa)],[c_66]) ).
cnf(c_9580,plain,
( ~ ron(X0_14,X0_15)
| ~ ron(X1_14,X0_15)
| ~ ron(X2_14,X0_15)
| ~ rpoint(X0_14)
| ~ rpoint(X1_14)
| ~ rpoint(X2_14)
| ~ rline(X0_15)
| X1_14 = X0_14
| X2_14 = X0_14
| X2_14 = X1_14
| rR(X0_14,X1_14,X2_14)
| rR(X1_14,X0_14,X2_14)
| rR(X2_14,X1_14,X0_14) ),
inference(subtyping,[status(esa)],[c_54]) ).
cnf(c_9582,plain,
sK7 != sK1,
inference(subtyping,[status(esa)],[c_51]) ).
cnf(c_9603,plain,
X0_13 = X0_13,
theory(equality) ).
cnf(c_9604,plain,
X0_14 = X0_14,
theory(equality) ).
cnf(c_9606,plain,
( X0_13 != X1_13
| X2_13 != X1_13
| X2_13 = X0_13 ),
theory(equality) ).
cnf(c_9607,plain,
( X0_14 != X1_14
| X2_14 != X1_14
| X2_14 = X0_14 ),
theory(equality) ).
cnf(c_9614,plain,
( X0_14 != X1_14
| X2_14 != X3_14
| vf(X0_14,X2_14) = vf(X1_14,X3_14) ),
theory(equality) ).
cnf(c_9628,plain,
sK5 = sK5,
inference(instantiation,[status(thm)],[c_9604]) ).
cnf(c_16162,plain,
( X0_14 != X1_14
| sK7 != X1_14
| sK7 = X0_14 ),
inference(instantiation,[status(thm)],[c_9607]) ).
cnf(c_16211,plain,
( ~ ron(X0_14,X0_15)
| ~ ron(X1_14,X0_15)
| ~ ron(sK1,X0_15)
| ~ rpoint(X0_14)
| ~ rpoint(X1_14)
| ~ rline(X0_15)
| ~ rpoint(sK1)
| X1_14 = X0_14
| X1_14 = sK1
| sK1 = X0_14
| rR(X0_14,sK1,X1_14)
| rR(X1_14,sK1,X0_14)
| rR(sK1,X0_14,X1_14) ),
inference(instantiation,[status(thm)],[c_9580]) ).
cnf(c_16300,plain,
( sK7 != X0_14
| sK1 != X0_14
| sK7 = sK1 ),
inference(instantiation,[status(thm)],[c_16162]) ).
cnf(c_17099,plain,
( X0_14 != sK7
| sK7 != sK7
| sK7 = X0_14 ),
inference(instantiation,[status(thm)],[c_16162]) ).
cnf(c_17100,plain,
( X0_14 != sK7
| sK7 = X0_14 ),
inference(equality_resolution_simp,[status(thm)],[c_17099]) ).
cnf(c_17101,plain,
( sK5 != sK7
| sK7 = sK5 ),
inference(instantiation,[status(thm)],[c_17100]) ).
cnf(c_19903,plain,
( ~ ron(sK7,X0_15)
| ~ ron(sK5,X0_15)
| ~ ron(sK1,X0_15)
| ~ rline(X0_15)
| ~ rpoint(sK7)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| sK5 = sK7
| sK5 = sK1
| sK1 = sK7
| rR(sK7,sK1,sK5)
| rR(sK5,sK1,sK7)
| rR(sK1,sK7,sK5) ),
inference(instantiation,[status(thm)],[c_16211]) ).
cnf(c_19906,plain,
( ~ ron(sK7,vd1232)
| ~ ron(sK5,vd1232)
| ~ ron(sK1,vd1232)
| ~ rpoint(sK7)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| ~ rline(vd1232)
| sK5 = sK7
| sK5 = sK1
| sK1 = sK7
| rR(sK7,sK1,sK5)
| rR(sK5,sK1,sK7)
| rR(sK1,sK7,sK5) ),
inference(instantiation,[status(thm)],[c_19903]) ).
cnf(c_20403,plain,
( sK7 != sK7
| sK1 != sK7
| sK7 = sK1 ),
inference(instantiation,[status(thm)],[c_16300]) ).
cnf(c_20404,plain,
( sK1 != sK7
| sK7 = sK1 ),
inference(equality_resolution_simp,[status(thm)],[c_20403]) ).
cnf(c_21840,plain,
( ~ rpoint(X0_14)
| vf(X0_14,sK5) = vf(sK5,X0_14) ),
inference(superposition,[status(thm)],[c_9568,c_9496]) ).
cnf(c_23678,plain,
( X0_13 != vf(sK5,sK1)
| vf(sK5,sK7) = X0_13 ),
inference(resolution,[status(thm)],[c_9606,c_9320]) ).
cnf(c_23682,plain,
( X0_13 != X1_13
| X1_13 = X0_13 ),
inference(resolution,[status(thm)],[c_9606,c_9603]) ).
cnf(c_24831,plain,
( X0_14 != sK1
| X1_14 != sK5
| vf(sK5,sK7) = vf(X1_14,X0_14) ),
inference(resolution,[status(thm)],[c_9614,c_23678]) ).
cnf(c_26164,plain,
( X0_13 != vf(X0_14,X1_14)
| X0_14 != sK5
| X1_14 != sK1
| vf(sK5,sK7) = X0_13 ),
inference(resolution,[status(thm)],[c_24831,c_9606]) ).
cnf(c_26165,plain,
( sK5 != sK5
| sK5 != sK1
| vd684 != vf(sK5,sK5)
| vf(sK5,sK7) = vd684 ),
inference(instantiation,[status(thm)],[c_26164]) ).
cnf(c_29148,plain,
vf(sK7,sK5) = vf(sK5,sK7),
inference(superposition,[status(thm)],[c_9566,c_21840]) ).
cnf(c_33965,plain,
( ~ rpoint(X0_14)
| vd684 = vf(X0_14,X0_14) ),
inference(resolution,[status(thm)],[c_23682,c_9544]) ).
cnf(c_33966,plain,
( ~ rpoint(sK5)
| vd684 = vf(sK5,sK5) ),
inference(instantiation,[status(thm)],[c_33965]) ).
fof(f93,axiom,
! [X275,X276,X277] :
( ( ? [X280] :
( rpoint(X280)
& X275 = X280 )
& ? [X279] :
( rpoint(X279)
& X276 = X279 )
& ? [X278] :
( rpoint(X278)
& X277 = X278 )
& rR(X276,X275,X277) )
=> ( rR(X276,X277,X275)
& X275 != X276
& X275 != X277
& ~ rR(X275,X276,X277) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f1210,plain,
! [X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X5,X5) ),
inference(equality_resolution,[],[f1209]) ).
fof(f155,axiom,
! [X716,X717,X718,X719,X720,X721,X722,X723] :
( ( ? [X731] :
( rpoint(X731)
& X716 = X731 )
& ? [X730] :
( rpoint(X730)
& X717 = X730 )
& ? [X729] :
( rpoint(X729)
& X718 = X729 )
& ? [X728] :
( rpoint(X728)
& X719 = X728 )
& ? [X727] :
( rpoint(X727)
& X720 = X727 )
& ? [X726] :
( rline(X726)
& X721 = X726 )
& ? [X725] :
( rline(X725)
& X722 = X725 )
& ? [X724] :
( rline(X724)
& X723 = X724 )
& ron(X716,X721)
& ron(X717,X721)
& ron(X717,X722)
& ron(X718,X722)
& ron(X718,X723)
& ron(X719,X723)
& X717 != X718
& rS(X716,X719,X722)
& rless(vplus(vangle(X716,X717,X718),vangle(X717,X718,X719)),vplus(vperp,vperp)) )
=> ( rintersect(X721,X722)
& ( ( ron(X720,X721)
& ron(X720,X722) )
=> rS(X720,X716,X722) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))') ).
fof(f1662,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( rintersect(X13,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X15)
| ~ ron(X11,X15)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1661]) ).
fof(f205,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,[],[f93]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ? [X8] :
( rpoint(X8)
& X0 = X8 )
& ? [X9] :
( rpoint(X9)
& X1 = X9 )
& ? [X10] :
( rpoint(X10)
& X2 = X10 )
& ? [X11] :
( rpoint(X11)
& X3 = X11 )
& ? [X12] :
( rpoint(X12)
& X4 = X12 )
& ? [X13] :
( rline(X13)
& X5 = X13 )
& ? [X14] :
( rline(X14)
& X6 = X14 )
& ? [X15] :
( rline(X15)
& X7 = X15 )
& ron(X0,X5)
& ron(X1,X5)
& ron(X1,X6)
& ron(X2,X6)
& ron(X2,X7)
& ron(X3,X7)
& X1 != X2
& rS(X0,X3,X6)
& rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) )
=> ( rintersect(X5,X6)
& ( ( ron(X4,X5)
& ron(X4,X6) )
=> rS(X4,X0,X6) ) ) ),
inference(rectify,[],[f155]) ).
fof(f369,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,[],[f205]) ).
fof(f370,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,[],[f369]) ).
fof(f485,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rintersect(X5,X6)
& ( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6) ) )
| ! [X8] :
( ~ rpoint(X8)
| X0 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X1 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rline(X13)
| X5 != X13 )
| ! [X14] :
( ~ rline(X14)
| X6 != X14 )
| ! [X15] :
( ~ rline(X15)
| X7 != X15 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(ennf_transformation,[],[f266]) ).
fof(f486,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rintersect(X5,X6)
& ( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6) ) )
| ! [X8] :
( ~ rpoint(X8)
| X0 != X8 )
| ! [X9] :
( ~ rpoint(X9)
| X1 != X9 )
| ! [X10] :
( ~ rpoint(X10)
| X2 != X10 )
| ! [X11] :
( ~ rpoint(X11)
| X3 != X11 )
| ! [X12] :
( ~ rpoint(X12)
| X4 != X12 )
| ! [X13] :
( ~ rline(X13)
| X5 != X13 )
| ! [X14] :
( ~ rline(X14)
| X6 != X14 )
| ! [X15] :
( ~ rline(X15)
| X7 != X15 )
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(flattening,[],[f485]) ).
fof(f768,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,[],[f370]) ).
fof(f770,plain,
! [X2,X3,X0,X1,X4,X5] :
( rR(X1,X2,X0)
| ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X0,X2) ),
inference(cnf_transformation,[],[f370]) ).
fof(f916,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X0,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| X0 != X8
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(cnf_transformation,[],[f486]) ).
fof(f917,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| X0 != X8
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X0,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X0,X3,X6)
| ~ rless(vplus(vangle(X0,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(cnf_transformation,[],[f486]) ).
fof(f1200,plain,
! [X2,X3,X1,X4,X5] :
( rR(X1,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X1,X3,X2) ),
inference(equality_resolution,[],[f770]) ).
fof(f1201,plain,
! [X2,X3,X4,X5] :
( rR(X4,X2,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X2 != X5
| ~ rR(X4,X3,X2) ),
inference(equality_resolution,[],[f1200]) ).
fof(f1202,plain,
! [X3,X4,X5] :
( rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rR(X4,X3,X5) ),
inference(equality_resolution,[],[f1201]) ).
fof(f1207,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,[],[f768]) ).
fof(f1208,plain,
! [X3,X1,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X5)
| X3 != X5
| ~ rR(X1,X3,X3) ),
inference(equality_resolution,[],[f1207]) ).
fof(f1209,plain,
! [X3,X4,X5] :
( ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X3 != X5
| ~ rR(X4,X3,X3) ),
inference(equality_resolution,[],[f1208]) ).
fof(f1655,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f917]) ).
fof(f1656,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X2 = X9
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X2),vangle(X9,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1655]) ).
fof(f1657,plain,
! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X3,X7)
| X9 = X10
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1656]) ).
fof(f1658,plain,
! [X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1657]) ).
fof(f1659,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X5,X12,X13] :
( rintersect(X5,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1658]) ).
fof(f1660,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X12,X13] :
( rintersect(X13,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1659]) ).
fof(f1661,plain,
! [X10,X11,X8,X9,X7,X14,X15,X12,X13] :
( rintersect(X13,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1660]) ).
fof(f1663,plain,
! [X2,X3,X10,X11,X1,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X1,X5)
| ~ ron(X1,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X1 = X2
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X1,X2),vangle(X1,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f916]) ).
fof(f1664,plain,
! [X2,X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X10
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X2,X6)
| ~ ron(X2,X7)
| ~ ron(X3,X7)
| X2 = X9
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X2),vangle(X9,X2,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1663]) ).
fof(f1665,plain,
! [X3,X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X3 != X11
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X3,X7)
| X9 = X10
| ~ rS(X8,X3,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X3)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1664]) ).
fof(f1666,plain,
! [X10,X11,X8,X6,X9,X7,X14,X4,X15,X5,X12,X13] :
( rS(X4,X8,X6)
| ~ ron(X4,X5)
| ~ ron(X4,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X4 != X12
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1665]) ).
fof(f1667,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X5,X12,X13] :
( rS(X12,X8,X6)
| ~ ron(X12,X5)
| ~ ron(X12,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| X5 != X13
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X5)
| ~ ron(X9,X5)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1666]) ).
fof(f1668,plain,
! [X10,X11,X8,X6,X9,X7,X14,X15,X12,X13] :
( rS(X12,X8,X6)
| ~ ron(X12,X13)
| ~ ron(X12,X6)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| X6 != X14
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X6)
| ~ ron(X10,X6)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X6)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1667]) ).
fof(f1669,plain,
! [X10,X11,X8,X9,X7,X14,X15,X12,X13] :
( rS(X12,X8,X14)
| ~ ron(X12,X13)
| ~ ron(X12,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| X7 != X15
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X7)
| ~ ron(X11,X7)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1668]) ).
fof(f157,axiom,
! [X738,X739] :
( ( ? [X741] :
( rpoint(X741)
& X738 = X741 )
& ? [X740] :
( rpoint(X740)
& X739 = X740 ) )
=> v0 = vg(X738,X738,X739) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))') ).
fof(f1670,plain,
! [X10,X11,X8,X9,X14,X15,X12,X13] :
( rS(X12,X8,X14)
| ~ ron(X12,X13)
| ~ ron(X12,X14)
| ~ rpoint(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rline(X13)
| ~ rline(X14)
| ~ rline(X15)
| ~ ron(X8,X13)
| ~ ron(X9,X13)
| ~ ron(X9,X14)
| ~ ron(X10,X14)
| ~ ron(X10,X15)
| ~ ron(X11,X15)
| X9 = X10
| ~ rS(X8,X11,X14)
| ~ rless(vplus(vangle(X8,X9,X10),vangle(X9,X10,X11)),vplus(vperp,vperp)) ),
inference(equality_resolution,[],[f1669]) ).
fof(f268,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> v0 = vg(X0,X0,X1) ),
inference(rectify,[],[f157]) ).
fof(f487,plain,
! [X0,X1] :
( v0 = vg(X0,X0,X1)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f268]) ).
fof(f488,plain,
! [X0,X1] :
( v0 = vg(X0,X0,X1)
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f487]) ).
fof(f86,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f918,plain,
! [X2,X3,X0,X1] :
( v0 = vg(X0,X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f488]) ).
fof(f745,plain,
v0 = vd684,
inference(cnf_transformation,[],[f86]) ).
cnf(c_189,plain,
( ~ rR(X0,X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| rR(X0,X2,X1) ),
inference(cnf_transformation,[],[f1202]) ).
cnf(c_9471,plain,
( ~ rR(X0_14,X1_14,X2_14)
| ~ rpoint(X0_14)
| ~ rpoint(X1_14)
| ~ rpoint(X2_14)
| rR(X0_14,X2_14,X1_14) ),
inference(subtyping,[status(esa)],[c_189]) ).
cnf(c_16037,plain,
( ~ rR(sK1,sK7,sK5)
| ~ rpoint(sK7)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| rR(sK1,sK5,sK7) ),
inference(instantiation,[status(thm)],[c_9471]) ).
cnf(c_16043,plain,
( ~ rR(sK7,sK1,sK5)
| ~ rpoint(sK7)
| ~ rpoint(sK5)
| ~ rpoint(sK1)
| rR(sK7,sK5,sK1) ),
inference(instantiation,[status(thm)],[c_9471]) ).
fof(f55,axiom,
! [X42,X43] :
( ( ? [X45] :
( rpoint(X45)
& X42 = X45 )
& ? [X44] :
( rpoint(X44)
& X43 = X44 ) )
=> ( vf(X42,X43) = v0
<=> X42 = X43 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f1004,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1003]) ).
fof(f170,plain,
! [X0,X1] :
( ( ? [X2] :
( rpoint(X2)
& X0 = X2 )
& ? [X3] :
( rpoint(X3)
& X1 = X3 ) )
=> ( v0 = vf(X0,X1)
<=> X0 = X1 ) ),
inference(rectify,[],[f55]) ).
fof(f299,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(ennf_transformation,[],[f170]) ).
fof(f300,plain,
! [X0,X1] :
( ( v0 = vf(X0,X1)
<=> X0 = X1 )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(flattening,[],[f299]) ).
fof(f506,plain,
! [X0,X1] :
( ( ( v0 = vf(X0,X1)
| X0 != X1 )
& ( X0 = X1
| v0 != vf(X0,X1) ) )
| ! [X2] :
( ~ rpoint(X2)
| X0 != X2 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 ) ),
inference(nnf_transformation,[],[f300]) ).
fof(f692,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| v0 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f506]) ).
fof(f693,plain,
! [X2,X3,X0,X1] :
( v0 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(cnf_transformation,[],[f506]) ).
fof(f968,plain,
! [X2,X3,X0,X1] :
( vd684 = vf(X0,X1)
| X0 != X1
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f693,f745]) ).
fof(f969,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vd684 != vf(X0,X1)
| ~ rpoint(X2)
| X0 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(definition_unfolding,[],[f692,f745]) ).
fof(f1002,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| ~ rpoint(X2)
| X1 != X2
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f968]) ).
fof(f1003,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X2 != X3 ),
inference(equality_resolution,[],[f1002]) ).
fof(f1005,plain,
! [X2,X3,X1] :
( X1 = X2
| vd684 != vf(X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X3)
| X1 != X3 ),
inference(equality_resolution,[],[f969]) ).
fof(f1006,plain,
! [X2,X3] :
( X2 = X3
| vd684 != vf(X2,X3)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f1005]) ).
cnf(c_116,plain,
( vf(X0,X1) != vd684
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f1006]) ).
cnf(c_9543,plain,
( vf(X0_14,X1_14) != vd684
| ~ rpoint(X0_14)
| ~ rpoint(X1_14)
| X0_14 = X1_14 ),
inference(subtyping,[status(esa)],[c_116]) ).
cnf(c_37950,plain,
( vf(sK5,sK7) != vd684
| ~ rpoint(sK7)
| ~ rpoint(sK5)
| sK7 = sK5 ),
inference(superposition,[status(thm)],[c_29148,c_9543]) ).
cnf(c_47681,plain,
( vf(sK5,sK7) != vd684
| ~ rpoint(sK7)
| ~ rpoint(sK5)
| sK7 = sK5 ),
inference(superposition,[status(thm)],[c_29148,c_9543]) ).
cnf(c_47817,plain,
sK7 = sK5,
inference(global_subsumption_just,[status(thm)],[c_47681,c_103,c_68,c_66,c_58,c_102,c_90,c_75,c_50,c_49,c_53,c_9628,c_9582,c_16037,c_16043,c_17101,c_19906,c_20404,c_26165,c_33966,c_37950]) ).
cnf(c_47860,plain,
~ ron(sK5,vd1197),
inference(superposition,[status(thm)],[c_47817,c_9539]) ).
cnf(c_47864,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_47860,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO298+1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : run_iprover %s %d THM
% 0.13/0.32 % Computer : n004.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Fri May 3 01:10:33 EDT 2024
% 0.13/0.32 % CPUTime :
% 0.19/0.44 Running first-order theorem proving
% 0.19/0.44 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 113.41/15.74 % SZS status Started for theBenchmark.p
% 113.41/15.74 % SZS status Theorem for theBenchmark.p
% 113.41/15.74
% 113.41/15.74 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 113.41/15.74
% 113.41/15.74 ------ iProver source info
% 113.41/15.74
% 113.41/15.74 git: date: 2024-05-02 19:28:25 +0000
% 113.41/15.74 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 113.41/15.74 git: non_committed_changes: false
% 113.41/15.74
% 113.41/15.74 ------ Parsing...
% 113.41/15.74 ------ Clausification by vclausify_rel & Parsing by iProver...
% 113.41/15.74
% 113.41/15.74 ------ Preprocessing... sup_sim: 13 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
% 113.41/15.74
% 113.41/15.74 ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e
% 113.41/15.74
% 113.41/15.74 ------ Preprocessing... sf_s rm: 11 0s sf_e sf_s rm: 0 0s sf_e
% 113.41/15.74 ------ Proving...
% 113.41/15.74 ------ Problem Properties
% 113.41/15.74
% 113.41/15.74
% 113.41/15.74 clauses 281
% 113.41/15.74 conjectures 2
% 113.41/15.74 EPR 88
% 113.41/15.74 Horn 200
% 113.41/15.74 unary 44
% 113.41/15.74 binary 42
% 113.41/15.74 lits 1527
% 113.41/15.74 lits eq 191
% 113.41/15.74 fd_pure 0
% 113.41/15.74 fd_pseudo 0
% 113.41/15.74 fd_cond 0
% 113.41/15.74 fd_pseudo_cond 50
% 113.41/15.74 AC symbols 0
% 113.41/15.74
% 113.41/15.74 ------ Input Options Time Limit: Unbounded
% 113.41/15.74
% 113.41/15.74
% 113.41/15.74 ------
% 113.41/15.74 Current options:
% 113.41/15.74 ------
% 113.41/15.74
% 113.41/15.74
% 113.41/15.74
% 113.41/15.74
% 113.41/15.74 ------ Proving...
% 113.41/15.74
% 113.41/15.74
% 113.41/15.74 % SZS status Theorem for theBenchmark.p
% 113.41/15.74
% 113.41/15.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 113.41/15.74
% 113.41/15.75
%------------------------------------------------------------------------------