%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO287+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:24:50 PM UTC 2026
% Result : Theorem 8.42s 1.52s
% Output : CNFRefutation 8.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 151 ( 64 unt; 15 def)
% Number of atoms : 895 ( 470 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 1253 ( 509 ~; 637 |; 90 &)
% ( 15 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 16 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-6 aty)
% Number of variables : 229 ( 205 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vf(vd1157,vd1158) = vf(vd1164,vd1165),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ? [Vd1160] :
( rpoint(Vd1160)
& vd1156 = Vd1160 )
& ? [Vd1161] :
( rpoint(Vd1161)
& vd1157 = Vd1161 )
& ? [Vd1162] :
( rpoint(Vd1162)
& vd1158 = Vd1162 )
& vd1156 != vd1157
& vd1156 != vd1158
& vd1157 != vd1158
& ? [Vd1167] :
( rpoint(Vd1167)
& vd1163 = Vd1167 )
& ? [Vd1168] :
( rpoint(Vd1168)
& vd1164 = Vd1168 )
& ? [Vd1169] :
( rpoint(Vd1169)
& vd1165 = Vd1169 )
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ~ ? [Vd1173] :
( rline(Vd1173)
& ron(vd1163,Vd1173)
& ron(vd1164,Vd1173)
& ron(vd1165,Vd1173) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [Vd1178,Vd1179,Vd1180,Vd1185,Vd1186,Vd1187] :
( ( ? [Vd1182] :
( rpoint(Vd1182)
& Vd1178 = Vd1182 )
& ? [Vd1183] :
( rpoint(Vd1183)
& Vd1179 = Vd1183 )
& ? [Vd1184] :
( rpoint(Vd1184)
& Vd1180 = Vd1184 )
& Vd1178 != Vd1179
& Vd1178 != Vd1180
& Vd1179 != Vd1180
& ? [Vd1189] :
( rpoint(Vd1189)
& Vd1185 = Vd1189 )
& ? [Vd1190] :
( rpoint(Vd1190)
& Vd1186 = Vd1190 )
& ? [Vd1191] :
( rpoint(Vd1191)
& Vd1187 = Vd1191 )
& vf(Vd1178,Vd1179) = vf(Vd1185,Vd1186)
& vf(Vd1178,Vd1180) = vf(Vd1185,Vd1187)
& vangle(Vd1179,Vd1178,Vd1180) = vangle(Vd1186,Vd1185,Vd1187)
& ~ ? [Vd1195] :
( rline(Vd1195)
& ron(Vd1185,Vd1195)
& ron(Vd1186,Vd1195)
& ron(Vd1187,Vd1195) ) )
=> vf(Vd1186,Vd1187) = vf(Vd1179,Vd1180) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [Vd761,Vd762] :
( ( ? [Vd764] :
( rpoint(Vd764)
& Vd761 = Vd764 )
& ? [Vd765] :
( rpoint(Vd765)
& Vd762 = Vd765 ) )
=> vf(Vd761,Vd762) = vf(Vd762,Vd761) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f157,plain,
vf(vd1157,vd1158) != vf(vd1164,vd1165),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f158,plain,
( ? [Vd1160] :
( rpoint(Vd1160)
& vd1156 = Vd1160 )
& ? [Vd1161] :
( rpoint(Vd1161)
& vd1157 = Vd1161 )
& ? [Vd1162] :
( rpoint(Vd1162)
& vd1158 = Vd1162 )
& vd1156 != vd1157
& vd1156 != vd1158
& vd1157 != vd1158
& ? [Vd1167] :
( rpoint(Vd1167)
& vd1163 = Vd1167 )
& ? [Vd1168] :
( rpoint(Vd1168)
& vd1164 = Vd1168 )
& ? [Vd1169] :
( rpoint(Vd1169)
& vd1165 = Vd1169 )
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ! [Vd1173] :
( ~ rline(Vd1173)
| ~ ron(vd1163,Vd1173)
| ~ ron(vd1164,Vd1173)
| ~ ron(vd1165,Vd1173) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f159,plain,
( rpoint(sK5_skl)
& vd1156 = sK5_skl
& rpoint(sK4_skl)
& vd1157 = sK4_skl
& rpoint(sK3_skl)
& vd1158 = sK3_skl
& vd1156 != vd1157
& vd1156 != vd1158
& vd1157 != vd1158
& rpoint(sK2_skl)
& vd1163 = sK2_skl
& rpoint(sK1_skl)
& vd1164 = sK1_skl
& rpoint(sK0_skl)
& vd1165 = sK0_skl
& vf(vd1156,vd1157) = vf(vd1163,vd1164)
& vf(vd1156,vd1158) = vf(vd1163,vd1165)
& vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165)
& ! [Vd1173] :
( ~ rline(Vd1173)
| ~ ron(vd1163,Vd1173)
| ~ ron(vd1164,Vd1173)
| ~ ron(vd1165,Vd1173) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(Vd1169,sK0_skl),skolemize(Vd1168,sK1_skl),skolemize(Vd1167,sK2_skl),skolemize(Vd1162,sK3_skl),skolemize(Vd1161,sK4_skl),skolemize(Vd1160,sK5_skl)],[f158]) ).
fof(f160,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(vd1163,X0)
| ~ ron(vd1164,X0)
| ~ ron(vd1165,X0) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f161,plain,
vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,vd1165),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f162,plain,
vf(vd1156,vd1158) = vf(vd1163,vd1165),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f163,plain,
vf(vd1156,vd1157) = vf(vd1163,vd1164),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f164,plain,
vd1165 = sK0_skl,
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f165,plain,
rpoint(sK0_skl),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f166,plain,
vd1164 = sK1_skl,
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f167,plain,
rpoint(sK1_skl),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f168,plain,
vd1163 = sK2_skl,
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f169,plain,
rpoint(sK2_skl),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f170,plain,
vd1157 != vd1158,
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f171,plain,
vd1156 != vd1158,
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f172,plain,
vd1156 != vd1157,
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f173,plain,
vd1158 = sK3_skl,
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f174,plain,
rpoint(sK3_skl),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f175,plain,
vd1157 = sK4_skl,
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f176,plain,
rpoint(sK4_skl),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f177,plain,
vd1156 = sK5_skl,
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f178,plain,
rpoint(sK5_skl),
inference(cnf_transformation,[status(thm)],[f159]) ).
fof(f191,plain,
! [Vd1178,Vd1179,Vd1180,Vd1185,Vd1186,Vd1187] :
( vf(Vd1186,Vd1187) = vf(Vd1179,Vd1180)
| ! [Vd1182] :
( ~ rpoint(Vd1182)
| Vd1178 != Vd1182 )
| ! [Vd1183] :
( ~ rpoint(Vd1183)
| Vd1179 != Vd1183 )
| ! [Vd1184] :
( ~ rpoint(Vd1184)
| Vd1180 != Vd1184 )
| Vd1178 = Vd1179
| Vd1178 = Vd1180
| Vd1179 = Vd1180
| ! [Vd1189] :
( ~ rpoint(Vd1189)
| Vd1185 != Vd1189 )
| ! [Vd1190] :
( ~ rpoint(Vd1190)
| Vd1186 != Vd1190 )
| ! [Vd1191] :
( ~ rpoint(Vd1191)
| Vd1187 != Vd1191 )
| vf(Vd1178,Vd1179) != vf(Vd1185,Vd1186)
| vf(Vd1178,Vd1180) != vf(Vd1185,Vd1187)
| vangle(Vd1179,Vd1178,Vd1180) != vangle(Vd1186,Vd1185,Vd1187)
| ? [Vd1195] :
( rline(Vd1195)
& ron(Vd1185,Vd1195)
& ron(Vd1186,Vd1195)
& ron(Vd1187,Vd1195) ) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f192,plain,
! [Vd1179,Vd1180,Vd1186,Vd1187] :
( vf(Vd1186,Vd1187) = vf(Vd1179,Vd1180)
| ! [Vd1178] :
( ! [Vd1182] :
( ~ rpoint(Vd1182)
| Vd1178 != Vd1182 )
| ! [Vd1183] :
( ~ rpoint(Vd1183)
| Vd1179 != Vd1183 )
| ! [Vd1184] :
( ~ rpoint(Vd1184)
| Vd1180 != Vd1184 )
| Vd1178 = Vd1179
| Vd1178 = Vd1180
| Vd1179 = Vd1180
| ! [Vd1185] :
( ! [Vd1189] :
( ~ rpoint(Vd1189)
| Vd1185 != Vd1189 )
| ! [Vd1190] :
( ~ rpoint(Vd1190)
| Vd1186 != Vd1190 )
| ! [Vd1191] :
( ~ rpoint(Vd1191)
| Vd1187 != Vd1191 )
| vf(Vd1178,Vd1179) != vf(Vd1185,Vd1186)
| vf(Vd1178,Vd1180) != vf(Vd1185,Vd1187)
| vangle(Vd1179,Vd1178,Vd1180) != vangle(Vd1186,Vd1185,Vd1187)
| ? [Vd1195] :
( rline(Vd1195)
& ron(Vd1185,Vd1195)
& ron(Vd1186,Vd1195)
& ron(Vd1187,Vd1195) ) ) ) ),
inference(miniscoping,[status(thm)],[f191]) ).
fof(f193,plain,
! [Vd1179,Vd1180,Vd1186,Vd1187] :
( vf(Vd1186,Vd1187) = vf(Vd1179,Vd1180)
| ! [Vd1178] :
( ! [Vd1182] :
( ~ rpoint(Vd1182)
| Vd1178 != Vd1182 )
| ! [Vd1183] :
( ~ rpoint(Vd1183)
| Vd1179 != Vd1183 )
| ! [Vd1184] :
( ~ rpoint(Vd1184)
| Vd1180 != Vd1184 )
| Vd1178 = Vd1179
| Vd1178 = Vd1180
| Vd1179 = Vd1180
| ! [Vd1185] :
( ! [Vd1189] :
( ~ rpoint(Vd1189)
| Vd1185 != Vd1189 )
| ! [Vd1190] :
( ~ rpoint(Vd1190)
| Vd1186 != Vd1190 )
| ! [Vd1191] :
( ~ rpoint(Vd1191)
| Vd1187 != Vd1191 )
| vf(Vd1178,Vd1179) != vf(Vd1185,Vd1186)
| vf(Vd1178,Vd1180) != vf(Vd1185,Vd1187)
| vangle(Vd1179,Vd1178,Vd1180) != vangle(Vd1186,Vd1185,Vd1187)
| ( rline(sK8_skl(Vd1185,Vd1178,Vd1187,Vd1186,Vd1180,Vd1179))
& ron(Vd1185,sK8_skl(Vd1185,Vd1178,Vd1187,Vd1186,Vd1180,Vd1179))
& ron(Vd1186,sK8_skl(Vd1185,Vd1178,Vd1187,Vd1186,Vd1180,Vd1179))
& ron(Vd1187,sK8_skl(Vd1185,Vd1178,Vd1187,Vd1186,Vd1180,Vd1179)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Vd1195,sK8_skl(Vd1185,Vd1178,Vd1187,Vd1186,Vd1180,Vd1179))],[f192]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( vf(X3,X0) = vf(X5,X4)
| ~ rpoint(X11)
| X2 != X11
| ~ rpoint(X10)
| X5 != X10
| ~ rpoint(X9)
| X4 != X9
| X2 = X5
| X2 = X4
| X5 = X4
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X6)
| X0 != X6
| vf(X2,X5) != vf(X1,X3)
| vf(X2,X4) != vf(X1,X0)
| vangle(X5,X2,X4) != vangle(X3,X1,X0)
| ron(X0,sK8_skl(X1,X2,X0,X3,X4,X5)) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( vf(X0,X3) = vf(X5,X4)
| ~ rpoint(X11)
| X2 != X11
| ~ rpoint(X10)
| X5 != X10
| ~ rpoint(X9)
| X4 != X9
| X2 = X5
| X2 = X4
| X5 = X4
| ~ rpoint(X8)
| X1 != X8
| ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X3 != X6
| vf(X2,X5) != vf(X1,X0)
| vf(X2,X4) != vf(X1,X3)
| vangle(X5,X2,X4) != vangle(X0,X1,X3)
| ron(X0,sK8_skl(X1,X2,X3,X0,X4,X5)) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( vf(X3,X2) = vf(X5,X4)
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X5 != X10
| ~ rpoint(X9)
| X4 != X9
| X1 = X5
| X1 = X4
| X5 = X4
| ~ rpoint(X8)
| X0 != X8
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X6)
| X2 != X6
| vf(X1,X5) != vf(X0,X3)
| vf(X1,X4) != vf(X0,X2)
| vangle(X5,X1,X4) != vangle(X3,X0,X2)
| ron(X0,sK8_skl(X0,X1,X2,X3,X4,X5)) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( vf(X3,X2) = vf(X5,X4)
| ~ rpoint(X11)
| X1 != X11
| ~ rpoint(X10)
| X5 != X10
| ~ rpoint(X9)
| X4 != X9
| X1 = X5
| X1 = X4
| X5 = X4
| ~ rpoint(X8)
| X0 != X8
| ~ rpoint(X7)
| X3 != X7
| ~ rpoint(X6)
| X2 != X6
| vf(X1,X5) != vf(X0,X3)
| vf(X1,X4) != vf(X0,X2)
| vangle(X5,X1,X4) != vangle(X3,X0,X2)
| rline(sK8_skl(X0,X1,X2,X3,X4,X5)) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f515,plain,
! [Vd761,Vd762] :
( vf(Vd761,Vd762) = vf(Vd762,Vd761)
| ! [Vd764] :
( ~ rpoint(Vd764)
| Vd761 != Vd764 )
| ! [Vd765] :
( ~ rpoint(Vd765)
| Vd762 != Vd765 ) ),
inference(pre_NNF_transformation,[status(thm)],[f65]) ).
fof(f516,plain,
! [X0,X1,X2,X3] :
( vf(X2,X0) = vf(X0,X2)
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f515]) ).
fof(f998,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X3,X0) = vf(X5,X4)
| ~ rpoint(X2)
| ~ rpoint(X5)
| ~ rpoint(X4)
| X2 = X5
| X2 = X4
| X5 = X4
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| vf(X2,X5) != vf(X1,X3)
| vf(X2,X4) != vf(X1,X0)
| vangle(X5,X2,X4) != vangle(X3,X1,X0)
| ron(X0,sK8_skl(X1,X2,X0,X3,X4,X5)) ),
inference(destructive_equality_resolution,[status(thm)],[f194]) ).
fof(f999,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X0,X3) = vf(X5,X4)
| ~ rpoint(X2)
| ~ rpoint(X5)
| ~ rpoint(X4)
| X2 = X5
| X2 = X4
| X5 = X4
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X3)
| vf(X2,X5) != vf(X1,X0)
| vf(X2,X4) != vf(X1,X3)
| vangle(X5,X2,X4) != vangle(X0,X1,X3)
| ron(X0,sK8_skl(X1,X2,X3,X0,X4,X5)) ),
inference(destructive_equality_resolution,[status(thm)],[f195]) ).
fof(f1000,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X3,X2) = vf(X5,X4)
| ~ rpoint(X1)
| ~ rpoint(X5)
| ~ rpoint(X4)
| X1 = X5
| X1 = X4
| X5 = X4
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X1,X5) != vf(X0,X3)
| vf(X1,X4) != vf(X0,X2)
| vangle(X5,X1,X4) != vangle(X3,X0,X2)
| ron(X0,sK8_skl(X0,X1,X2,X3,X4,X5)) ),
inference(destructive_equality_resolution,[status(thm)],[f196]) ).
fof(f1001,plain,
! [X0,X1,X2,X3,X4,X5] :
( vf(X3,X2) = vf(X5,X4)
| ~ rpoint(X1)
| ~ rpoint(X5)
| ~ rpoint(X4)
| X1 = X5
| X1 = X4
| X5 = X4
| ~ rpoint(X0)
| ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X1,X5) != vf(X0,X3)
| vf(X1,X4) != vf(X0,X2)
| vangle(X5,X1,X4) != vangle(X3,X0,X2)
| rline(sK8_skl(X0,X1,X2,X3,X4,X5)) ),
inference(destructive_equality_resolution,[status(thm)],[f197]) ).
fof(f1315,plain,
! [X0,X1] :
( vf(X1,X0) = vf(X0,X1)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f516]) ).
fof(f1511,plain,
vf(vd1156,vd1158) = vf(vd1163,sK0_skl),
inference(backward_demodulation,[status(thm)],[f164,f162]) ).
fof(f1512,plain,
vangle(vd1157,vd1156,vd1158) = vangle(vd1164,vd1163,sK0_skl),
inference(backward_demodulation,[status(thm)],[f164,f161]) ).
fof(f1513,plain,
vf(vd1157,vd1158) != vf(vd1164,sK0_skl),
inference(backward_demodulation,[status(thm)],[f164,f157]) ).
fof(f1514,plain,
vf(vd1156,vd1157) = vf(vd1163,sK1_skl),
inference(backward_demodulation,[status(thm)],[f166,f163]) ).
fof(f1515,plain,
vf(vd1157,vd1158) != vf(sK1_skl,sK0_skl),
inference(forward_demodulation,[status(thm)],[f166,f1513]) ).
fof(f1517,plain,
vangle(vd1157,vd1156,vd1158) = vangle(sK1_skl,vd1163,sK0_skl),
inference(forward_demodulation,[status(thm)],[f166,f1512]) ).
fof(f1519,plain,
vangle(vd1157,vd1156,vd1158) = vangle(sK1_skl,sK2_skl,sK0_skl),
inference(backward_demodulation,[status(thm)],[f168,f1517]) ).
fof(f1520,plain,
vf(vd1156,vd1157) = vf(sK2_skl,sK1_skl),
inference(backward_demodulation,[status(thm)],[f168,f1514]) ).
fof(f1521,plain,
vf(vd1156,vd1158) = vf(sK2_skl,sK0_skl),
inference(backward_demodulation,[status(thm)],[f168,f1511]) ).
fof(f1522,plain,
! [X0] :
( vf(sK2_skl,X0) = vf(X0,sK2_skl)
| ~ rpoint(X0) ),
inference(resolution,[status(thm)],[f169,f1315]) ).
fof(f1523,plain,
vf(vd1157,sK3_skl) != vf(sK1_skl,sK0_skl),
inference(backward_demodulation,[status(thm)],[f173,f1515]) ).
fof(f1524,plain,
vd1156 != sK3_skl,
inference(backward_demodulation,[status(thm)],[f173,f171]) ).
fof(f1525,plain,
vd1157 != sK3_skl,
inference(backward_demodulation,[status(thm)],[f173,f170]) ).
fof(f1526,plain,
! [X0] :
( vf(sK3_skl,X0) = vf(X0,sK3_skl)
| ~ rpoint(X0) ),
inference(resolution,[status(thm)],[f174,f1315]) ).
fof(f1527,plain,
vd1156 != sK4_skl,
inference(backward_demodulation,[status(thm)],[f175,f172]) ).
fof(f1528,plain,
vf(sK4_skl,sK3_skl) != vf(sK1_skl,sK0_skl),
inference(forward_demodulation,[status(thm)],[f175,f1523]) ).
fof(f1529,plain,
vangle(sK4_skl,vd1156,vd1158) = vangle(sK1_skl,sK2_skl,sK0_skl),
inference(forward_demodulation,[status(thm)],[f175,f1519]) ).
fof(f1530,plain,
vangle(sK4_skl,vd1156,sK3_skl) = vangle(sK1_skl,sK2_skl,sK0_skl),
inference(forward_demodulation,[status(thm)],[f173,f1529]) ).
fof(f1531,plain,
sK4_skl != sK3_skl,
inference(forward_demodulation,[status(thm)],[f175,f1525]) ).
fof(f1532,plain,
vf(vd1156,sK4_skl) = vf(sK2_skl,sK1_skl),
inference(forward_demodulation,[status(thm)],[f175,f1520]) ).
fof(f1533,plain,
vf(vd1156,sK3_skl) = vf(sK2_skl,sK0_skl),
inference(forward_demodulation,[status(thm)],[f173,f1521]) ).
fof(f1535,plain,
vf(sK5_skl,sK3_skl) = vf(sK2_skl,sK0_skl),
inference(backward_demodulation,[status(thm)],[f177,f1533]) ).
fof(f1536,plain,
vf(sK5_skl,sK4_skl) = vf(sK2_skl,sK1_skl),
inference(backward_demodulation,[status(thm)],[f177,f1532]) ).
fof(f1537,plain,
sK5_skl != sK3_skl,
inference(backward_demodulation,[status(thm)],[f177,f1524]) ).
fof(f1538,plain,
vangle(sK4_skl,sK5_skl,sK3_skl) = vangle(sK1_skl,sK2_skl,sK0_skl),
inference(backward_demodulation,[status(thm)],[f177,f1530]) ).
fof(f1541,plain,
sK5_skl != sK4_skl,
inference(forward_demodulation,[status(thm)],[f177,f1527]) ).
fof(f1555,definition,
( sQ11_spl
<=> rpoint(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1557,plain,
( sQ11_spl
| ~ rpoint(sK0_skl) ),
inference(component_clause,[status(thm)],[f1555]) ).
fof(f1558,definition,
( sQ12_spl
<=> rpoint(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1560,plain,
( sQ12_spl
| ~ rpoint(sK1_skl) ),
inference(component_clause,[status(thm)],[f1558]) ).
fof(f1561,definition,
( sQ13_spl
<=> rpoint(sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1563,plain,
( sQ13_spl
| ~ rpoint(sK2_skl) ),
inference(component_clause,[status(thm)],[f1561]) ).
fof(f1564,definition,
( sQ14_spl
<=> sK4_skl = sK3_skl ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1565,plain,
( ~ sQ14_spl
| sK4_skl = sK3_skl ),
inference(component_clause,[status(thm)],[f1564]) ).
fof(f1567,definition,
( sQ15_spl
<=> sK5_skl = sK3_skl ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1568,plain,
( ~ sQ15_spl
| sK5_skl = sK3_skl ),
inference(component_clause,[status(thm)],[f1567]) ).
fof(f1570,definition,
( sQ16_spl
<=> sK5_skl = sK4_skl ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1571,plain,
( ~ sQ16_spl
| sK5_skl = sK4_skl ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1573,definition,
( sQ17_spl
<=> rpoint(sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1575,plain,
( sQ17_spl
| ~ rpoint(sK3_skl) ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1576,definition,
( sQ18_spl
<=> rpoint(sK4_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1578,plain,
( sQ18_spl
| ~ rpoint(sK4_skl) ),
inference(component_clause,[status(thm)],[f1576]) ).
fof(f1579,definition,
( sQ19_spl
<=> rpoint(sK5_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1581,plain,
( sQ19_spl
| ~ rpoint(sK5_skl) ),
inference(component_clause,[status(thm)],[f1579]) ).
fof(f1607,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1581,f178]) ).
fof(f1608,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f1607]) ).
fof(f1609,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1578,f176]) ).
fof(f1610,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f1609]) ).
fof(f1611,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1575,f174]) ).
fof(f1612,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f1611]) ).
fof(f1613,plain,
( ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1571,f1541]) ).
fof(f1614,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f1613]) ).
fof(f1615,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1568,f1537]) ).
fof(f1616,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f1615]) ).
fof(f1617,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1565,f1531]) ).
fof(f1618,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1617]) ).
fof(f1638,plain,
vf(sK2_skl,sK1_skl) = vf(sK1_skl,sK2_skl),
inference(resolution,[status(thm)],[f1522,f167]) ).
fof(f1639,plain,
vf(sK2_skl,sK0_skl) = vf(sK0_skl,sK2_skl),
inference(resolution,[status(thm)],[f1522,f165]) ).
fof(f1642,plain,
vf(sK3_skl,sK4_skl) = vf(sK4_skl,sK3_skl),
inference(resolution,[status(thm)],[f1526,f176]) ).
fof(f1676,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(vd1163,X0)
| ~ ron(vd1164,X0)
| ~ ron(sK0_skl,X0) ),
inference(forward_demodulation,[status(thm)],[f164,f160]) ).
fof(f1677,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(vd1163,X0)
| ~ ron(sK1_skl,X0)
| ~ ron(sK0_skl,X0) ),
inference(forward_demodulation,[status(thm)],[f166,f1676]) ).
fof(f1678,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(sK2_skl,X0)
| ~ ron(sK1_skl,X0)
| ~ ron(sK0_skl,X0) ),
inference(forward_demodulation,[status(thm)],[f168,f1677]) ).
fof(f1679,plain,
vf(sK5_skl,sK4_skl) = vf(sK1_skl,sK2_skl),
inference(backward_demodulation,[status(thm)],[f1638,f1536]) ).
fof(f1685,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1563,f169]) ).
fof(f1686,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f1685]) ).
fof(f1696,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ ron(sK2_skl,sK8_skl(X4,X1,X5,X3,X2,X0))
| ~ ron(sK1_skl,sK8_skl(X4,X1,X5,X3,X2,X0))
| ~ ron(sK0_skl,sK8_skl(X4,X1,X5,X3,X2,X0))
| vf(X3,X5) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rpoint(X5)
| vf(X1,X0) != vf(X4,X3)
| vf(X1,X2) != vf(X4,X5)
| vangle(X0,X1,X2) != vangle(X3,X4,X5) ),
inference(resolution,[status(thm)],[f1001,f1678]) ).
fof(f1697,plain,
vf(sK5_skl,sK3_skl) = vf(sK0_skl,sK2_skl),
inference(backward_demodulation,[status(thm)],[f1639,f1535]) ).
fof(f1708,plain,
vf(sK3_skl,sK4_skl) != vf(sK1_skl,sK0_skl),
inference(backward_demodulation,[status(thm)],[f1642,f1528]) ).
fof(f1733,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1560,f167]) ).
fof(f1734,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1733]) ).
fof(f1735,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1557,f165]) ).
fof(f1736,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1735]) ).
fof(f1762,plain,
! [X0,X1,X2,X3,X4] :
( vf(X3,X4) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(sK2_skl)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vf(X1,X0) != vf(sK2_skl,X3)
| vf(X1,X2) != vf(sK2_skl,X4)
| vangle(X0,X1,X2) != vangle(X3,sK2_skl,X4)
| ~ ron(sK1_skl,sK8_skl(sK2_skl,X1,X4,X3,X2,X0))
| ~ ron(sK0_skl,sK8_skl(sK2_skl,X1,X4,X3,X2,X0))
| vf(X3,X4) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(sK2_skl)
| ~ rpoint(X3)
| ~ rpoint(X4)
| vf(X1,X0) != vf(sK2_skl,X3)
| vf(X1,X2) != vf(sK2_skl,X4)
| vangle(X0,X1,X2) != vangle(X3,sK2_skl,X4) ),
inference(resolution,[status(thm)],[f1696,f1000]) ).
fof(f1777,definition,
! [X0,X1,X2,X3,X4] :
( sQ39_spl
<=> ( vf(X3,X4) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| ~ rpoint(X4)
| vf(X1,X0) != vf(sK2_skl,X3)
| vf(X1,X2) != vf(sK2_skl,X4)
| vangle(X0,X1,X2) != vangle(X3,sK2_skl,X4)
| ~ ron(sK1_skl,sK8_skl(sK2_skl,X1,X4,X3,X2,X0))
| ~ ron(sK0_skl,sK8_skl(sK2_skl,X1,X4,X3,X2,X0))
| vf(X3,X4) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| ~ rpoint(X4)
| vf(X1,X0) != vf(sK2_skl,X3)
| vf(X1,X2) != vf(sK2_skl,X4)
| vangle(X0,X1,X2) != vangle(X3,sK2_skl,X4) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1778,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| vf(X3,X4) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| ~ rpoint(X4)
| vf(X1,X0) != vf(sK2_skl,X3)
| vf(X1,X2) != vf(sK2_skl,X4)
| vangle(X0,X1,X2) != vangle(X3,sK2_skl,X4)
| ~ ron(sK1_skl,sK8_skl(sK2_skl,X1,X4,X3,X2,X0))
| ~ ron(sK0_skl,sK8_skl(sK2_skl,X1,X4,X3,X2,X0))
| vf(X3,X4) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| ~ rpoint(X4)
| vf(X1,X0) != vf(sK2_skl,X3)
| vf(X1,X2) != vf(sK2_skl,X4)
| vangle(X0,X1,X2) != vangle(X3,sK2_skl,X4) ),
inference(component_clause,[status(thm)],[f1777]) ).
fof(f1780,plain,
( ~ sQ13_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f1762,f1777,f1561]) ).
fof(f1789,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ39_spl
| ~ ron(sK1_skl,sK8_skl(sK2_skl,X1,X4,X3,X2,X0))
| ~ ron(sK0_skl,sK8_skl(sK2_skl,X1,X4,X3,X2,X0))
| vf(X3,X4) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| ~ rpoint(X4)
| vf(X1,X0) != vf(sK2_skl,X3)
| vf(X1,X2) != vf(sK2_skl,X4)
| vangle(X0,X1,X2) != vangle(X3,sK2_skl,X4) ),
inference(duplicate_literals_removal,[status(thm)],[f1778]) ).
fof(f1852,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| vf(sK1_skl,X3) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(sK2_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(X3)
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK2_skl,X3)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,X3)
| ~ ron(sK0_skl,sK8_skl(sK2_skl,X1,X3,sK1_skl,X2,X0))
| vf(sK1_skl,X3) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(sK1_skl)
| ~ rpoint(X3)
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK2_skl,X3)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,X3) ),
inference(resolution,[status(thm)],[f1789,f999]) ).
fof(f1854,definition,
! [X0,X1,X2,X3] :
( sQ50_spl
<=> ( vf(sK1_skl,X3) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK2_skl,X3)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,X3)
| ~ ron(sK0_skl,sK8_skl(sK2_skl,X1,X3,sK1_skl,X2,X0))
| vf(sK1_skl,X3) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK2_skl,X3)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,X3) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1855,plain,
! [X0,X1,X2,X3] :
( ~ sQ50_spl
| vf(sK1_skl,X3) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK2_skl,X3)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,X3)
| ~ ron(sK0_skl,sK8_skl(sK2_skl,X1,X3,sK1_skl,X2,X0))
| vf(sK1_skl,X3) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK2_skl,X3)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,X3) ),
inference(component_clause,[status(thm)],[f1854]) ).
fof(f1857,plain,
( ~ sQ39_spl
| ~ sQ13_spl
| ~ sQ12_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f1852,f1854,f1558,f1561,f1777]) ).
fof(f1862,plain,
! [X0,X1,X2,X3] :
( ~ sQ50_spl
| vf(sK1_skl,X3) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK2_skl,X3)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,X3)
| ~ ron(sK0_skl,sK8_skl(sK2_skl,X1,X3,sK1_skl,X2,X0))
| vf(sK1_skl,X3) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK2_skl,X3)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,X3) ),
inference(forward_demodulation,[status(thm)],[f1638,f1855]) ).
fof(f1863,plain,
! [X0,X1,X2,X3] :
( ~ sQ50_spl
| vf(sK1_skl,X3) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK2_skl,X3)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,X3)
| ~ ron(sK0_skl,sK8_skl(sK2_skl,X1,X3,sK1_skl,X2,X0))
| vf(sK1_skl,X3) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK2_skl,X3)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,X3) ),
inference(forward_demodulation,[status(thm)],[f1638,f1862]) ).
fof(f1864,plain,
! [X0,X1,X2,X3] :
( ~ sQ50_spl
| ~ ron(sK0_skl,sK8_skl(sK2_skl,X1,X3,sK1_skl,X2,X0))
| vf(sK1_skl,X3) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(X3)
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK2_skl,X3)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,X3) ),
inference(duplicate_literals_removal,[status(thm)],[f1863]) ).
fof(f1915,plain,
! [X0,X1,X2] :
( ~ sQ50_spl
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(sK2_skl)
| ~ rpoint(sK1_skl)
| ~ rpoint(sK0_skl)
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK2_skl,sK0_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl)
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| ~ rpoint(sK0_skl)
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK2_skl,sK0_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl) ),
inference(resolution,[status(thm)],[f1864,f998]) ).
fof(f1916,definition,
! [X0,X1,X2] :
( sQ56_spl
<=> ( vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK2_skl,sK0_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl)
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK2_skl,sK0_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1917,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK2_skl,sK0_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl)
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK2_skl,sK0_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl) ),
inference(component_clause,[status(thm)],[f1916]) ).
fof(f1919,plain,
( ~ sQ50_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1915,f1916,f1555,f1558,f1561,f1854]) ).
fof(f1920,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK2_skl,sK0_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl)
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK0_skl,sK2_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f1639,f1917]) ).
fof(f1921,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK2_skl,sK1_skl)
| vf(X1,X2) != vf(sK0_skl,sK2_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl)
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK0_skl,sK2_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f1639,f1920]) ).
fof(f1922,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK0_skl,sK2_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl)
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK0_skl,sK2_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl) ),
inference(forward_demodulation,[status(thm)],[f1638,f1921]) ).
fof(f1923,plain,
! [X0,X1,X2] :
( ~ sQ56_spl
| vf(sK1_skl,sK0_skl) = vf(X0,X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(X2)
| X1 = X0
| X1 = X2
| X0 = X2
| vf(X1,X0) != vf(sK1_skl,sK2_skl)
| vf(X1,X2) != vf(sK0_skl,sK2_skl)
| vangle(X0,X1,X2) != vangle(sK1_skl,sK2_skl,sK0_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f1922]) ).
fof(f1933,plain,
( ~ sQ56_spl
| vf(sK1_skl,sK0_skl) = vf(sK4_skl,sK3_skl)
| ~ rpoint(sK5_skl)
| ~ rpoint(sK4_skl)
| ~ rpoint(sK3_skl)
| sK5_skl = sK4_skl
| sK5_skl = sK3_skl
| sK4_skl = sK3_skl
| vf(sK5_skl,sK4_skl) != vf(sK1_skl,sK2_skl)
| vf(sK5_skl,sK3_skl) != vf(sK0_skl,sK2_skl) ),
inference(resolution,[status(thm)],[f1923,f1538]) ).
fof(f1937,definition,
( sQ58_spl
<=> vf(sK5_skl,sK3_skl) = vf(sK0_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1939,plain,
( sQ58_spl
| vf(sK5_skl,sK3_skl) != vf(sK0_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f1937]) ).
fof(f1940,definition,
( sQ59_spl
<=> vf(sK5_skl,sK4_skl) = vf(sK1_skl,sK2_skl) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f1942,plain,
( sQ59_spl
| vf(sK5_skl,sK4_skl) != vf(sK1_skl,sK2_skl) ),
inference(component_clause,[status(thm)],[f1940]) ).
fof(f1943,definition,
( sQ60_spl
<=> vf(sK1_skl,sK0_skl) = vf(sK4_skl,sK3_skl) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f1944,plain,
( ~ sQ60_spl
| vf(sK1_skl,sK0_skl) = vf(sK4_skl,sK3_skl) ),
inference(component_clause,[status(thm)],[f1943]) ).
fof(f1946,plain,
( ~ sQ56_spl
| sQ60_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| sQ16_spl
| sQ15_spl
| sQ14_spl
| ~ sQ59_spl
| ~ sQ58_spl ),
inference(split_clause,[status(thm)],[f1933,f1937,f1940,f1564,f1567,f1570,f1573,f1576,f1579,f1943,f1916]) ).
fof(f1977,plain,
( sQ59_spl
| vf(sK1_skl,sK2_skl) != vf(sK1_skl,sK2_skl) ),
inference(forward_demodulation,[status(thm)],[f1679,f1942]) ).
fof(f1978,plain,
( sQ59_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1977]) ).
fof(f1979,plain,
sQ59_spl,
inference(contradiction_clause,[status(thm)],[f1978]) ).
fof(f1980,plain,
( sQ58_spl
| vf(sK0_skl,sK2_skl) != vf(sK0_skl,sK2_skl) ),
inference(forward_demodulation,[status(thm)],[f1697,f1939]) ).
fof(f1981,plain,
( sQ58_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1980]) ).
fof(f1982,plain,
sQ58_spl,
inference(contradiction_clause,[status(thm)],[f1981]) ).
fof(f2377,plain,
( ~ sQ60_spl
| vf(sK3_skl,sK4_skl) = vf(sK1_skl,sK0_skl) ),
inference(backward_demodulation,[status(thm)],[f1944,f1642]) ).
fof(f2378,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2377,f1708]) ).
fof(f2379,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f2378]) ).
fof(f2380,plain,
$false,
inference(sat_refutation,[status(thm)],[f1608,f1610,f1612,f1614,f1616,f1618,f1686,f1734,f1736,f1780,f1857,f1919,f1946,f1979,f1982,f2379]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO287+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n002.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 15:15:01 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.12/0.41 % Drodi V4.1.1
% 8.42/1.52 % Refutation found
% 8.42/1.52 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.42/1.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.42/1.55 % Elapsed time: 1.191873 seconds
% 8.42/1.55 % CPU time: 8.713495 seconds
% 8.42/1.55 % Total memory used: 171.887 MB
% 8.42/1.55 % Net memory used: 170.257 MB
%------------------------------------------------------------------------------