%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO290+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 : Fri Sep 25 01:20:41 PM UTC 2026
% Result : Theorem 50.70s 13.45s
% Output : CNFRefutation 50.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f1441ERROR: Could not build tree for root c_41531ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( rR(vd1185,vd1199,vd1186)
| rR(vd1199,vd1185,vd1186) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(276)') ).
fof(f2,negated_conjecture,
~ ( rR(vd1185,vd1199,vd1186)
| rR(vd1199,vd1185,vd1186) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vd1199 != vd1185,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(275, 1217, 0)') ).
fof(f4,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s3(plural(274)), 0)') ).
fof(f5,axiom,
ron(vd1200,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(274)), 0)') ).
fof(f6,axiom,
ron(vd1185,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(269)), 0)') ).
fof(f7,axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(274)), 0)') ).
fof(f8,axiom,
vd1200 = vd1186,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(comma_conjunct2(plural(271))), 1212, 0)') ).
fof(f9,axiom,
ron(vd1186,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(269)), 0)') ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& 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) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(91), 0), imp(cond(axiom(91), 0)))') ).
fof(f11,axiom,
vf(vd1199,vd1200) = vf(vd1185,vd1186),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(273, 1215, 0)') ).
fof(f12,axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(272, 0)') ).
fof(f13,axiom,
rline(vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(269, 0)') ).
fof(f14,axiom,
rS(vd1201,vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(comma_conjunct2(comma_conjunct2(plural(271))), 1214, 0)') ).
fof(f15,axiom,
~ rR(vd1186,vd1199,vd1185),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(conjunct2(conjunct2(comma_conjunct2(plural(271))))))') ).
fof(f16,axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct1(conjunct2(comma_conjunct2(plural(271)))), 0)') ).
fof(f17,axiom,
vf(vd1178,vd1180) = vf(vd1199,vd1201),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1211, 0)') ).
fof(f18,axiom,
vf(vd1179,vd1180) = vf(vd1200,vd1201),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(plural(271)))))), 1210, 0)') ).
fof(f19,axiom,
vf(vd1178,vd1179) = vf(vd1199,vd1200),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(conjunct2(plural(271))))), 1209, 0)') ).
fof(f20,axiom,
vangle(vd1201,vd1200,vd1199) = vangle(vd1180,vd1179,vd1178),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(conjunct2(plural(271)))), 1208, 0)') ).
fof(f21,axiom,
vangle(vd1199,vd1201,vd1200) = vangle(vd1178,vd1180,vd1179),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(conjunct2(plural(271))), 1207, 0)') ).
fof(f22,axiom,
vangle(vd1200,vd1199,vd1201) = vangle(vd1179,vd1178,vd1180),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(plural(271)), 1206, 0)') ).
fof(f23,axiom,
? [X0] :
( rpoint(X0)
& vd1201 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f24,axiom,
? [X0] :
( rpoint(X0)
& vd1200 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(271)))') ).
fof(f25,axiom,
? [X0] :
( rpoint(X0)
& vd1199 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof(f27,axiom,
( ? [X6] :
( rpoint(X6)
& vd1178 = X6 )
& ? [X5] :
( rpoint(X5)
& vd1179 = X5 )
& ? [X4] :
( rpoint(X4)
& vd1180 = X4 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1186 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1187 = X1 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ~ ? [X0] :
( rline(X0)
& ron(vd1185,X0)
& ron(vd1186,X0)
& ron(vd1187,X0) ) ),
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(f28,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& X0 != X2
& X4 != X6
& rless(vf(X4,X6),vf(X0,X2)) )
=> vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) = vf(X4,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 0)') ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& X0 != X2
& X4 != X6
& rless(vf(X4,X6),vf(X0,X2)) )
=> rR(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7),X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 1)') ).
fof(f30,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rpoint(X7)
& X6 = X7
& X0 != X2
& X4 != X6
& rless(vf(X4,X6),vf(X0,X2)) )
=> rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(238), 0), 2)') ).
fof(f31,axiom,
! [X0,X1] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X2] :
( rpoint(X2)
& X1 = X2 ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f32,axiom,
! [X0,X1] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X2] :
( rpoint(X2)
& X1 = X2 )
& X0 != X1 )
=> ? [X4] :
( rline(X4)
& ron(X0,X4)
& ron(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f33,axiom,
! [X0,X1,X2,X3] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& ? [X4] :
( rpoint(X4)
& X3 = X4 )
& rR(X1,X0,X2)
& rR(X2,X1,X3) )
=> rR(X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(89), 0), imp(cond(axiom(89), 0)))') ).
fof(f34,axiom,
! [X0,X1] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X2] :
( rpoint(X2)
& X1 = X2 )
& X0 != X1 )
=> ! [X4,X5] :
( ( rpoint(X5)
& X4 != X0
& X4 != X1
& X4 = X5 )
=> vf(X0,X1) = vf(X4,vskolem1078(X4,X5,X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 0)') ).
fof(f35,axiom,
! [X0,X1] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X2] :
( rpoint(X2)
& X1 = X2 )
& X0 != X1 )
=> ! [X4,X5] :
( ( rpoint(X5)
& X4 != X0
& X4 != X1
& X4 = X5 )
=> rpoint(vskolem1078(X4,X5,X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 1)') ).
fof(f36,axiom,
! [X0,X1,X2,X3] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& ? [X4] :
( rpoint(X4)
& X3 = X4 )
& rR(X1,X0,X2)
& rR(X3,X0,X1) )
=> rR(X3,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(87), 0), imp(cond(axiom(87), 0)))') ).
fof(f37,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 0)') ).
fof(f38,axiom,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X0 != X2
& X2 = X3 )
=> vf(X0,X2) = vf(X2,vskolem1052(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 1)') ).
fof(f39,axiom,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rpoint(X3)
& X0 != X2
& X2 = X3 )
=> rpoint(vskolem1052(X0,X1,X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(206), 0), 2)') ).
fof(f40,axiom,
! [X0,X1] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X2] :
( rpoint(X2)
& X1 = X2 ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f41,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X11] :
( rpoint(X11)
& X0 = X11 )
& ? [X10] :
( rpoint(X10)
& X1 = X10 )
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& ? [X8] :
( rpoint(X8)
& X3 = X8 )
& ? [X7] :
( rline(X7)
& X4 = X7 )
& ? [X6] :
( rline(X6)
& X5 = X6 )
& ron(X0,X4)
& ron(X0,X5)
& ron(X1,X4)
& ron(X2,X5)
& X0 != X1
& X0 != X2
& ~ ron(X3,X4)
& ~ ron(X3,X5)
& X4 != X5 )
=> ( vangle(X1,X0,X2) = vplus(vangle(X1,X0,X3),vangle(X3,X0,X2))
<=> ( rS(X1,X3,X5)
& rS(X2,X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(190), 0), imp(cond(axiom(190), 0)))') ).
fof(f42,axiom,
! [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) )
<=> vangle(X2,X0,X4) = v0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& rcenter(X2,X3)
& ron(X1,X3) )
=> ( rless(vf(X2,X0),vf(X2,X1))
<=> rinside(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(186), 0), imp(cond(axiom(186), 0)))') ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(X1)
& X0 = X1
& rcenter(X2,X3)
& rpoint(X5)
& X4 = X5
& ron(X4,X3) )
=> ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f45,axiom,
! [X0,X1] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X2] :
( rpoint(X2)
& X1 = X2 ) )
=> ? [X4] :
( rreal(X4)
& vf(X0,X1) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(160), 0), imp(cond(axiom(160), 0)))') ).
fof(f46,axiom,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> ~ rless(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(149), 0), imp(cond(axiom(149), 0)))') ).
fof(f47,axiom,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rless(X0,X2) )
=> ( X0 = X2
| ~ rless(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(147), 0), imp(cond(axiom(147), 0)))') ).
fof(f48,axiom,
! [X0,X1,X2,X3] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ron(X0,X2)
& rinside(X1,X2)
& rinside(X0,X3)
& ron(X1,X3) )
=> rintersect(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(135), 0), imp(cond(axiom(135), 0)))') ).
fof(f49,axiom,
! [X0,X1,X2,X3] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rcircle(X5)
& X2 = X5 )
& ? [X4] :
( rcircle(X4)
& X3 = X4 )
& ron(X0,X2)
& ( rinside(X1,X2)
| ron(X1,X2) )
& rinside(X0,X3)
& ~ ron(X1,X3)
& ~ rinside(X1,X3) )
=> rintersect(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(133), 0), imp(cond(axiom(133), 0)))') ).
fof(f50,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rline(X4)
& rR(X1,X0,X2)
& ron(X0,X3)
& ron(X2,X3)
& X3 = X4 )
=> ron(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f51,axiom,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rinside(X0,X2) )
=> ~ ron(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(79), 0), imp(cond(axiom(79), 0)))') ).
fof(f52,axiom,
! [X0,X1] :
( ( ? [X3] :
( rcircle(X3)
& X0 = X3 )
& ? [X2] :
( rcircle(X2)
& X1 = X2 )
& rintersect(X0,X1) )
=> ? [X4,X5] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X1)
& rpoint(X5)
& ron(X5,X0)
& ron(X5,X1)
& X4 != X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(67), 0), imp(cond(axiom(67), 0)))') ).
fof(f53,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rcircle(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rinside(X4,X0)
& ron(X4,X2)
& rpoint(X7)
& X6 = X7
& ~ rinside(X6,X0)
& ~ ron(X6,X0)
& ron(X6,X2) )
=> ? [X8] :
( rpoint(X8)
& ron(X8,X2)
& ron(X8,X0)
& rR(X8,X4,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(61), 0), imp(cond(axiom(61), 0)))') ).
fof(f54,axiom,
! [X0,X1] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X2] :
( rpoint(X2)
& X1 = X2 )
& X0 != X1 )
=> ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f55,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( ? [X36] :
( rpoint(X36)
& X0 = X36 )
& ? [X35] :
( rpoint(X35)
& X1 = X35 )
& ? [X34] :
( rpoint(X34)
& X2 = X34 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X33] :
( rpoint(X33)
& X3 = X33 )
& ? [X32] :
( rpoint(X32)
& X4 = X32 )
& ? [X31] :
( rpoint(X31)
& X5 = X31 )
& ? [X30] :
( rpoint(X30)
& X6 = X30 )
& ? [X29] :
( rpoint(X29)
& X7 = X29 )
& ? [X28] :
( rpoint(X28)
& X8 = X28 )
& ? [X27] :
( rpoint(X27)
& X9 = X27 )
& ? [X26] :
( rpoint(X26)
& X10 = X26 )
& ? [X25] :
( rpoint(X25)
& X11 = X25 )
& ? [X24] :
( rpoint(X24)
& X12 = X24 )
& ? [X23] :
( rpoint(X23)
& X13 = X23 )
& ? [X22] :
( rpoint(X22)
& X14 = X22 )
& ? [X21] :
( rpoint(X21)
& X15 = X21 )
& rline(X17)
& ron(X3,X16)
& ron(X4,X16)
& ~ ron(X5,X16)
& ! [X18,X19,X20] :
( ( rpoint(X18)
& rpoint(X19)
& rpoint(X20)
& X18 = X3
& vangle(X20,X19,X18) = vangle(X2,X1,X0)
& vangle(X19,X18,X20) = vangle(X1,X0,X2)
& vangle(X18,X20,X19) = vangle(X0,X2,X1)
& vf(X0,X1) = vf(X18,X19)
& vf(X1,X2) = vf(X19,X20)
& vf(X0,X2) = vf(X18,X20)
& ron(X19,X16)
& ~ rR(X3,X19,X4)
& rS(X20,X5,X16) )
=> ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) ) )
& X16 = X17 )
=> ( vf(X6,X7) = vf(X8,X9)
& vangle(X10,X11,X12) = vangle(X13,X14,X15) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(204), 0), imp(cond(axiom(204), 0)))') ).
fof(f56,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rreal(X5)
& X4 = X5
& vplus(X0,X4) = vplus(X2,X4) )
=> X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(156, 0), 0)') ).
fof(f57,axiom,
! [X0,X1] :
( ( rreal(X1)
& X0 = X1 )
=> vplus(X0,v0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(141), 0), imp(cond(axiom(141), 0)))') ).
fof(f58,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rline(X4)
& X3 = X4
& rR(X1,X0,X2)
& ron(X1,X3) )
=> ~ rS(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(109), 0), imp(cond(axiom(109), 0)))') ).
fof(f59,axiom,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ~ rinside(X2,X0)
& ~ ron(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(49), 0), imp(cond(axiom(49), 0)))') ).
fof(f60,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X13] :
( rpoint(X13)
& X0 = X13 )
& ? [X12] :
( rpoint(X12)
& X1 = X12 )
& ? [X11] :
( rpoint(X11)
& X2 = X11 )
& ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X9] :
( rpoint(X9)
& X4 = X9 )
& ? [X8] :
( rline(X8)
& X5 = X8 )
& ? [X7] :
( rline(X7)
& X6 = X7 )
& ron(X0,X5)
& ron(X1,X5)
& ron(X3,X5)
& ron(X2,X6)
& ron(X4,X6)
& X1 != X0
& X2 != X0
& X3 != X0
& X4 != X0
& ~ rR(X0,X1,X3)
& ~ rR(X0,X2,X4) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f61,axiom,
! [X0,X1,X2] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X3] :
( rpoint(X3)
& X2 = X3 )
& rR(X1,X0,X2) )
=> vplus(vf(X0,X1),vf(X1,X2)) = vf(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(180), 0), imp(cond(axiom(180), 0)))') ).
fof(f62,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rline(X4)
& rR(X1,X0,X2)
& ron(X0,X3)
& ron(X1,X3)
& X3 = X4 )
=> ron(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f63,axiom,
! [X0,X1] :
( rcenter(X0,X1)
=> ? [X2,X3] :
( rpoint(X2)
& X0 = X2
& rcircle(X3)
& X1 = X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(1), 0), imp(cond(axiom(1), 0)))') ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rreal(X5)
& X4 = X5
& rless(X0,X2) )
=> rless(vplus(X0,X4),vplus(X2,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(153), 0), imp(cond(axiom(153), 0)))') ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3
& rreal(X5)
& X4 = X5
& rless(X0,X2)
& rless(X2,X4) )
=> rless(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(151), 0), imp(cond(axiom(151), 0)))') ).
fof(f66,axiom,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> ( rless(X2,X0)
| X0 = X2
| rless(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(145), 0), imp(cond(axiom(145), 0)))') ).
fof(f67,axiom,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> vplus(X0,X2) = vplus(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(143), 0), imp(cond(axiom(143), 0)))') ).
fof(f68,axiom,
! [X0,X1,X2,X3] :
( ( rreal(X1)
& X0 = X1
& rreal(X3)
& X2 = X3 )
=> ? [X4] :
( rreal(X4)
& vplus(X0,X2) = X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(139), 0), imp(cond(axiom(139), 0)))') ).
fof(f69,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f70,axiom,
rreal(vd684),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 1)') ).
fof(f71,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rpoint(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rline(X5)
& X4 = X5
& rinside(X0,X2)
& ron(X0,X4) )
=> rintersect(X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(131), 0), imp(cond(axiom(131), 0)))') ).
fof(f72,axiom,
! [X0,X1,X2,X3] :
( ( ? [X8] :
( rpoint(X8)
& X0 = X8 )
& ? [X7] :
( rpoint(X7)
& X1 = X7 )
& ? [X6] :
( rcircle(X6)
& X2 = X6 )
& ? [X5] :
( rcircle(X5)
& X3 = X5 )
& ( rinside(X0,X2)
| ron(X0,X2) )
& ( rinside(X1,X2)
| ron(X1,X2) )
& ~ ? [X4] : rS(X0,X1,X4) )
=> ? [X9] : rintersect(X9,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(129), 0), imp(cond(axiom(129), 0)))') ).
fof(f73,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& rline(X3)
& ~ rS(X0,X1,X2)
& rline(X5)
& ron(X0,X4)
& ron(X1,X4)
& X4 = X5
& X2 = X3 )
=> rintersect(X2,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(127), 0), imp(cond(axiom(127), 0)))') ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ? [X11] :
( rcircle(X11)
& X0 = X11 )
& ? [X10] :
( rcircle(X10)
& X1 = X10 )
& X0 != X1
& rintersect(X0,X1)
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& ? [X8] :
( rpoint(X8)
& X3 = X8 )
& ron(X2,X0)
& ron(X2,X1)
& ron(X3,X0)
& ron(X3,X1)
& X2 != X3
& rcenter(X4,X0)
& rcenter(X5,X1)
& rline(X7)
& X6 = X7
& ron(X4,X6)
& ron(X5,X6) )
=> ~ rS(X2,X3,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(125), 0), imp(cond(axiom(125), 0)))') ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rcircle(X4)
& X3 = X4
& ( rinside(X0,X3)
| ron(X0,X3) )
& ~ rinside(X2,X3)
& rR(X2,X0,X1) )
=> ( ~ ron(X1,X3)
& ~ ron(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(123), 0), imp(cond(axiom(123), 0)))') ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X9] :
( rpoint(X9)
& X0 = X9 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& rcircle(X6)
& X5 = X6
& ( rinside(X0,X5)
| ron(X0,X5) )
& ( rinside(X1,X5)
| ron(X1,X5) )
& rR(X2,X0,X1) )
=> rinside(X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(121), 0), imp(cond(axiom(121), 0)))') ).
fof(f77,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X9] :
( rpoint(X9)
& X0 = X9 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& rline(X4)
& X3 = X4
& rcircle(X6)
& X5 = X6
& ron(X0,X3)
& ron(X1,X3)
& ron(X2,X3)
& rinside(X0,X5)
& ron(X1,X5)
& ron(X2,X5)
& X1 != X2 )
=> rR(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))') ).
fof(f78,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ? [X14] :
( rline(X14)
& X0 = X14 )
& ? [X13] :
( rline(X13)
& X1 = X13 )
& ? [X12] :
( rline(X12)
& X2 = X12 )
& ? [X11] :
( rpoint(X11)
& X3 = X11 )
& ? [X10] :
( rpoint(X10)
& X4 = X10 )
& ? [X9] :
( rpoint(X9)
& X5 = X9 )
& ? [X8] :
( rpoint(X8)
& X6 = X8 )
& ron(X3,X0)
& ron(X3,X1)
& ron(X3,X2)
& ron(X4,X0)
& ron(X5,X1)
& ron(X6,X2)
& rS(X5,X6,X0)
& rS(X4,X5,X2)
& rS(X6,X7,X1)
& rS(X5,X7,X2) )
=> rS(X5,X7,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(117), 0), imp(cond(axiom(117), 0)))') ).
fof(f79,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X13] :
( rline(X13)
& X0 = X13 )
& ? [X12] :
( rline(X12)
& X1 = X12 )
& ? [X11] :
( rline(X11)
& X2 = X11 )
& ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X9] :
( rpoint(X9)
& X4 = X9 )
& ? [X8] :
( rpoint(X8)
& X5 = X8 )
& ? [X7] :
( rpoint(X7)
& X6 = X7 )
& ron(X3,X0)
& ron(X3,X1)
& ron(X3,X2)
& ron(X4,X0)
& ron(X5,X1)
& ron(X6,X2)
& rS(X5,X6,X0)
& ~ rS(X4,X6,X1)
& ~ ron(X6,X1)
& X4 != X3 )
=> rS(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(115), 0), imp(cond(axiom(115), 0)))') ).
fof(f80,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X13] :
( rline(X13)
& X0 = X13 )
& ? [X12] :
( rline(X12)
& X1 = X12 )
& ? [X11] :
( rline(X11)
& X2 = X11 )
& ? [X10] :
( rpoint(X10)
& X3 = X10 )
& ? [X9] :
( rpoint(X9)
& X4 = X9 )
& ? [X8] :
( rpoint(X8)
& X5 = X8 )
& ? [X7] :
( rpoint(X7)
& X6 = X7 )
& ron(X3,X0)
& ron(X3,X1)
& ron(X3,X2)
& ron(X4,X0)
& ron(X5,X2)
& ron(X6,X2)
& rS(X5,X6,X0)
& rS(X4,X5,X2) )
=> ~ rS(X4,X6,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(113), 0), imp(cond(axiom(113), 0)))') ).
fof(f81,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X9] :
( rpoint(X9)
& X0 = X9 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X6] :
( rline(X6)
& X3 = X6 )
& ? [X5] :
( rline(X5)
& X4 = X5 )
& X3 != X4
& ron(X0,X4)
& ron(X2,X4)
& ~ rS(X0,X2,X3)
& ron(X1,X4)
& ron(X1,X3) )
=> rR(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(111), 0), imp(cond(axiom(111), 0)))') ).
fof(f82,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rline(X4)
& X3 = X4
& rR(X1,X0,X2)
& ron(X0,X3)
& ~ ron(X1,X3) )
=> rS(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(107), 0), imp(cond(axiom(107), 0)))') ).
fof(f83,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rline(X4)
& X3 = X4
& rR(X1,X0,X2)
& rS(X0,X2,X3) )
=> rS(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(105), 0), imp(cond(axiom(105), 0)))') ).
fof(f84,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rline(X4)
& X3 = X4
& ~ ron(X0,X3)
& ~ ron(X1,X3)
& ~ ron(X2,X3)
& ~ rS(X0,X1,X3) )
=> ( rS(X1,X2,X3)
| rS(X0,X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(103), 0), imp(cond(axiom(103), 0)))') ).
fof(f85,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rline(X4)
& X3 = X4
& rS(X0,X1,X3)
& rS(X0,X2,X3) )
=> rS(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(101), 0), imp(cond(axiom(101), 0)))') ).
fof(f86,axiom,
! [X0,X1,X2,X3] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& rline(X3)
& X2 = X3
& rS(X0,X1,X2) )
=> ~ ron(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& rline(X3)
& X2 = X3
& rS(X0,X1,X2) )
=> rS(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(97), 0), imp(cond(axiom(97), 0)))') ).
fof(f88,axiom,
! [X0,X1,X2,X3] :
( ( rpoint(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& ~ ron(X0,X2) )
=> rS(X0,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(95), 0), imp(cond(axiom(95), 0)))') ).
fof(f89,axiom,
! [X0,X1,X2,X3] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& ? [X4] :
( rpoint(X4)
& X3 = X4 )
& rR(X1,X0,X2)
& rR(X1,X0,X3) )
=> ~ rR(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof(f90,axiom,
! [X0,X1,X2] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X3] :
( rpoint(X3)
& X2 = X3 )
& rR(X1,X0,X2) )
=> ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f91,axiom,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f92,axiom,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rcenter(X2,X0)
& rcenter(X3,X0) )
=> X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(75), 0), imp(cond(axiom(75), 0)))') ).
fof(f93,axiom,
! [X0,X1,X2,X3] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& X0 != X1
& ? [X5] :
( rline(X5)
& X2 = X5 )
& ? [X4] :
( rline(X4)
& X3 = X4 )
& ron(X0,X2)
& ron(X0,X3)
& ron(X1,X2)
& ron(X1,X3) )
=> X2 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f94,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X8] :
( rcircle(X8)
& X0 = X8 )
& ? [X7] :
( rcircle(X7)
& X1 = X7 )
& rline(X3)
& X2 = X3
& rintersect(X0,X1)
& rcenter(X4,X0)
& rcenter(X5,X1)
& ron(X4,X2)
& ron(X5,X2)
& ~ ron(X6,X2) )
=> ? [X9] :
( rpoint(X9)
& ron(X9,X0)
& ron(X9,X1)
& ~ rS(X9,X6,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(71), 0), imp(cond(axiom(71), 0)))') ).
fof(f95,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ? [X8] :
( rcircle(X8)
& X0 = X8 )
& ? [X7] :
( rcircle(X7)
& X1 = X7 )
& rline(X3)
& X2 = X3
& rintersect(X0,X1)
& rcenter(X4,X0)
& rcenter(X5,X1)
& ron(X4,X2)
& ron(X5,X2)
& ~ ron(X6,X2) )
=> ? [X9] :
( rpoint(X9)
& ron(X9,X0)
& ron(X9,X1)
& rS(X9,X6,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(69), 0), imp(cond(axiom(69), 0)))') ).
fof(f96,axiom,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rcircle(X3)
& X2 = X3
& rintersect(X0,X2) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(65), 0), imp(cond(axiom(65), 0)))') ).
fof(f97,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rcircle(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& rinside(X4,X0)
& ron(X4,X2)
& rpoint(X7)
& X6 = X7
& ron(X6,X2)
& X6 != X4 )
=> ? [X8] :
( rpoint(X8)
& ron(X8,X0)
& ron(X8,X2)
& rR(X4,X8,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(63), 0), imp(cond(axiom(63), 0)))') ).
fof(f98,axiom,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rintersect(X2,X0) )
=> ? [X4,X5] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0)
& rpoint(X5)
& ron(X5,X2)
& ron(X5,X0)
& X4 != X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(59), 0), imp(cond(axiom(59), 0)))') ).
fof(f99,axiom,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rintersect(X2,X0) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X2)
& ron(X4,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(57), 0), imp(cond(axiom(57), 0)))') ).
fof(f100,axiom,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& rline(X3)
& X2 = X3
& rintersect(X0,X2) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& ron(X4,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(55), 0), imp(cond(axiom(55), 0)))') ).
fof(f101,axiom,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& rinside(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(47), 0), imp(cond(axiom(47), 0)))') ).
fof(f102,axiom,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& ? [X4] :
( rpoint(X4)
& X3 = X4 )
& ron(X2,X0)
& ron(X3,X0) )
=> ? [X6] :
( rpoint(X6)
& ron(X6,X0)
& X6 != X2
& X6 != X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(45), 0), imp(cond(axiom(45), 0)))') ).
fof(f103,axiom,
! [X0,X1,X2,X3] :
( ( rcircle(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& ron(X2,X0) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X4 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(43), 0), imp(cond(axiom(43), 0)))') ).
fof(f104,axiom,
! [X0,X1] :
( ( rcircle(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ron(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(41), 0), imp(cond(axiom(41), 0)))') ).
fof(f105,axiom,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& X2 = X3 )
=> ? [X4] :
( rpoint(X4)
& ~ rS(X4,X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(39), 0), imp(cond(axiom(39), 0)))') ).
fof(f106,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& rpoint(X5)
& rS(X4,X2,X0)
& rpoint(X7)
& rS(X6,X2,X0)
& X6 = X7
& X4 = X5
& X2 = X3 )
=> ? [X8] :
( rpoint(X8)
& rS(X8,X2,X0)
& X8 != X2
& X8 != X4
& X8 != X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(37), 0), imp(cond(axiom(37), 0)))') ).
fof(f107,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& rpoint(X5)
& rS(X4,X2,X0)
& X4 = X5
& X2 = X3 )
=> ? [X6] :
( rpoint(X6)
& rS(X6,X2,X0)
& X6 != X2
& X6 != X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(35), 0), imp(cond(axiom(35), 0)))') ).
fof(f108,axiom,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& ~ ron(X2,X0)
& X2 = X3 )
=> ? [X4] :
( rpoint(X4)
& rS(X4,X2,X0)
& X4 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(33), 0), imp(cond(axiom(33), 0)))') ).
fof(f109,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rline(X1)
& X0 = X1
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& ? [X6] :
( rpoint(X6)
& X3 = X6 )
& ron(X2,X0)
& ron(X3,X0)
& rpoint(X5)
& rR(X3,X2,X4)
& X4 = X5 )
=> ? [X8] :
( rpoint(X8)
& rR(X3,X2,X8)
& X8 != X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(31), 0), imp(cond(axiom(31), 0)))') ).
fof(f110,axiom,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& ? [X4] :
( rpoint(X4)
& X3 = X4 )
& ron(X2,X0)
& ron(X3,X0)
& X2 != X3 )
=> ? [X6] :
( rpoint(X6)
& rR(X3,X2,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(29), 0), imp(cond(axiom(29), 0)))') ).
fof(f111,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rline(X1)
& X0 = X1
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& ? [X8] :
( rpoint(X8)
& X3 = X8 )
& ? [X7] :
( rpoint(X7)
& X4 = X7 )
& ? [X6] :
( rpoint(X6)
& X5 = X6 )
& ron(X2,X0)
& ron(X3,X0)
& ron(X4,X0)
& rR(X4,X2,X3)
& rR(X5,X2,X3) )
=> ? [X10] :
( rpoint(X10)
& rR(X10,X2,X3)
& X10 != X4
& X10 != X5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(27), 0), imp(cond(axiom(27), 0)))') ).
fof(f112,axiom,
! [X0,X1,X2,X3,X4] :
( ( rline(X1)
& X0 = X1
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& ? [X6] :
( rpoint(X6)
& X3 = X6 )
& ? [X5] :
( rpoint(X5)
& X4 = X5 )
& ron(X2,X0)
& ron(X3,X0)
& rR(X4,X2,X3) )
=> ? [X8] :
( rpoint(X8)
& rR(X8,X2,X3)
& X8 != X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(25), 0), imp(cond(axiom(25), 0)))') ).
fof(f113,axiom,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& ? [X4] :
( rpoint(X4)
& X3 = X4 )
& ron(X2,X0)
& ron(X3,X0)
& X2 != X3 )
=> ? [X6] :
( rpoint(X6)
& rR(X6,X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(23), 0), imp(cond(axiom(23), 0)))') ).
fof(f114,axiom,
! [X0,X1,X2,X3,X4] :
( ( rline(X1)
& X0 = X1
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& ? [X6] :
( rpoint(X6)
& X3 = X6 )
& ? [X5] :
( rpoint(X5)
& X4 = X5 )
& ron(X2,X0)
& ron(X3,X0)
& ron(X4,X0) )
=> ? [X8] :
( rpoint(X8)
& ron(X8,X0)
& X8 != X2
& X8 != X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(21), 0), imp(cond(axiom(21), 0)))') ).
fof(f115,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& rpoint(X5)
& X4 = X5
& ron(X2,X0)
& ron(X4,X0) )
=> ? [X6] :
( rpoint(X6)
& ron(X6,X0)
& X6 != X2
& X6 != X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(19), 0), imp(cond(axiom(19), 0)))') ).
fof(f116,axiom,
! [X0,X1,X2,X3] :
( ( rline(X1)
& X0 = X1
& rpoint(X3)
& X2 = X3
& ron(X2,X0) )
=> ? [X4] :
( rpoint(X4)
& ron(X4,X0)
& X4 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(17), 0), imp(cond(axiom(17), 0)))') ).
fof(f117,axiom,
! [X0,X1] :
( ( rline(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& ron(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(15), 0), imp(cond(axiom(15), 0)))') ).
fof(f118,axiom,
! [X0,X1,X2,X3] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& ? [X4] :
( rpoint(X4)
& X3 = X4 ) )
=> ? [X8] :
( rpoint(X8)
& X8 != X0
& X8 != X1
& X8 != X2
& X8 != X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(13), 0), imp(cond(axiom(13), 0)))') ).
fof(f119,axiom,
! [X0,X1,X2] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X3] :
( rpoint(X3)
& X2 = X3 ) )
=> ? [X6] :
( rpoint(X6)
& X6 != X0
& X6 != X1
& X6 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(11), 0), imp(cond(axiom(11), 0)))') ).
fof(f120,axiom,
! [X0,X1] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X2] :
( rpoint(X2)
& X1 = X2 ) )
=> ? [X4] :
( rpoint(X4)
& X4 != X0
& X4 != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(9), 0), imp(cond(axiom(9), 0)))') ).
fof(f121,axiom,
! [X0,X1] :
( ( rpoint(X1)
& X0 = X1 )
=> ? [X2] :
( rpoint(X2)
& X2 != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(7), 0), imp(cond(axiom(7), 0)))') ).
fof(f122,axiom,
rpoint(vd14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(5), 0)') ).
fof(f124,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X9] :
( rpoint(X9)
& X0 = X9 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& ? [X6] :
( rpoint(X6)
& X3 = X6 )
& X0 != X1
& X0 != X2
& X0 != X3
& X1 != X2
& X1 != X3
& X2 != X3
& rline(X5)
& X4 = X5
& ~ ron(X3,X4) )
=> ( rR(X2,X0,X1)
<=> vplus(vg(X0,X2,X3),vg(X3,X2,X1)) = vg(X0,X3,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(202), 0), imp(cond(axiom(202), 0)))') ).
fof(f126,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X7] :
( rpoint(X7)
& X0 = X7 )
& ? [X6] :
( rpoint(X6)
& X1 = X6 )
& ? [X5] :
( rpoint(X5)
& X2 = X5 )
& rline(X4)
& X3 = X4
& X0 != X1
& ron(X0,X3)
& ron(X1,X3) )
=> ( vg(X0,X1,X2) = v0
<=> ron(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(200), 0), imp(cond(axiom(200), 0)))') ).
fof(f127,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X9] :
( rpoint(X9)
& X0 = X9 )
& ? [X8] :
( rpoint(X8)
& X1 = X8 )
& ? [X7] :
( rpoint(X7)
& X2 = X7 )
& ? [X6] :
( rpoint(X6)
& X3 = X6 )
& rline(X5)
& X4 = X5
& rR(X2,X0,X1)
& ~ ron(X3,X4) )
=> ( vangle(X0,X2,X3) = vangle(X3,X2,X1)
<=> vangle(X0,X2,X3) = vperp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(192), 0), imp(cond(axiom(192), 0)))') ).
fof(f128,axiom,
! [X0,X1,X2,X3,X4] :
( ( ? [X6] :
( rpoint(X6)
& X0 = X6 )
& ? [X5] :
( rpoint(X5)
& X1 = X5 )
& rcenter(X2,X3)
& rcenter(X2,X4)
& ron(X0,X3)
& ron(X1,X4)
& vf(X2,X0) = vf(X2,X1) )
=> X3 = X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(182), 0), imp(cond(axiom(182), 0)))') ).
fof(f129,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X11] :
( rpoint(X11)
& X0 = X11 )
& ? [X10] :
( rpoint(X10)
& X1 = X10 )
& ? [X9] :
( rpoint(X9)
& X2 = X9 )
& ? [X8] :
( rpoint(X8)
& X3 = X8 )
& ? [X7] :
( rpoint(X7)
& X4 = X7 )
& ? [X6] :
( rpoint(X6)
& X5 = X6 )
& vf(X0,X1) = vf(X3,X4)
& vf(X1,X2) = vf(X4,X5)
& vf(X2,X0) = vf(X5,X3)
& vangle(X0,X1,X2) = vangle(X3,X4,X5)
& vangle(X1,X2,X0) = vangle(X4,X5,X3)
& vangle(X2,X0,X1) = vangle(X5,X3,X4) )
=> vg(X0,X1,X2) = vg(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(178), 0), imp(cond(axiom(178), 0)))') ).
fof(f130,axiom,
! [X0,X1,X2] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X3] :
( rpoint(X3)
& X2 = X3 ) )
=> ? [X6] :
( rreal(X6)
& vg(X0,X1,X2) = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(198), 0), imp(cond(axiom(198), 0)))') ).
fof(f131,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ? [X15] :
( rpoint(X15)
& X0 = X15 )
& ? [X14] :
( rpoint(X14)
& X1 = X14 )
& ? [X13] :
( rpoint(X13)
& X2 = X13 )
& ? [X12] :
( rpoint(X12)
& X3 = X12 )
& ? [X11] :
( rpoint(X11)
& X4 = X11 )
& ? [X10] :
( rline(X10)
& X5 = X10 )
& ? [X9] :
( rline(X9)
& X6 = X9 )
& ? [X8] :
( rline(X8)
& X7 = X8 )
& 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) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(196), 0), imp(cond(axiom(196), 0)))') ).
fof(f132,axiom,
! [X0,X1,X2] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X3] :
( rpoint(X3)
& X2 = X3 ) )
=> ( vg(X0,X1,X2) = vg(X2,X0,X1)
& vg(X0,X1,X2) = vg(X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(176), 0), imp(cond(axiom(176), 0)))') ).
fof(f134,axiom,
! [X0,X1] :
( ( ? [X3] :
( rpoint(X3)
& X0 = X3 )
& ? [X2] :
( rpoint(X2)
& X1 = X2 ) )
=> vg(X0,X0,X1) = v0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(172), 0), imp(cond(axiom(172), 0)))') ).
fof(f136,axiom,
! [X0,X1,X2] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X3] :
( rpoint(X3)
& X2 = X3 )
& X0 != X1
& X0 != X2 )
=> vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f141,plain,
( ~ rR(vd1185,vd1199,vd1186)
& ~ rR(vd1199,vd1185,vd1186) ),
inference(ennf_transformation,[],[f2]) ).
fof(f142,plain,
! [X0,X1,X2,X3,X4] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| 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(ennf_transformation,[],[f10]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] :
( ! [X7] :
( ~ rpoint(X7)
| X0 != X7 )
| ! [X6] :
( ~ rpoint(X6)
| X1 != X6 )
| ! [X5] :
( ~ rpoint(X5)
| X2 != X5 )
| 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(flattening,[],[f142]) ).
fof(f144,plain,
( ? [X6] :
( rpoint(X6)
& vd1178 = X6 )
& ? [X5] :
( rpoint(X5)
& vd1179 = X5 )
& ? [X4] :
( rpoint(X4)
& vd1180 = X4 )
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& ? [X3] :
( rpoint(X3)
& vd1185 = X3 )
& ? [X2] :
( rpoint(X2)
& vd1186 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1187 = X1 )
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ! [X0] :
( ~ rline(X0)
| ~ ron(vd1185,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1187,X0) ) ),
inference(ennf_transformation,[],[f27]) ).
fof(f151,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f152,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
inference(flattening,[],[f151]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2)
| ~ ron(X0,X2) ),
inference(ennf_transformation,[],[f51]) ).
fof(f192,plain,
! [X0,X1,X2,X3] :
( ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2)
| ~ ron(X0,X2) ),
inference(flattening,[],[f191]) ).
fof(f197,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| X0 = X1
| ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f198,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| X0 = X1
| ? [X4] :
( rcircle(X4)
& rcenter(X0,X4)
& ron(X1,X4) ) ),
inference(flattening,[],[f197]) ).
fof(f264,plain,
! [X0,X1,X2] :
( ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X2 != X3 )
| ~ rR(X1,X0,X2)
| ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f90]) ).
fof(f265,plain,
! [X0,X1,X2] :
( ! [X5] :
( ~ rpoint(X5)
| X0 != X5 )
| ! [X4] :
( ~ rpoint(X4)
| X1 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X2 != X3 )
| ~ rR(X1,X0,X2)
| ( rR(X1,X2,X0)
& X0 != X1
& X0 != X2
& ~ rR(X0,X1,X2) ) ),
inference(flattening,[],[f264]) ).
fof(f266,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(ennf_transformation,[],[f91]) ).
fof(f349,plain,
( rpoint(sK1)
& vd1201 = sK1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f23]) ).
fof(f350,plain,
( rpoint(sK2)
& vd1200 = sK2 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f24]) ).
fof(f351,plain,
( rpoint(sK3)
& vd1199 = sK3 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f25]) ).
fof(f352,plain,
( rpoint(sK9)
& vd1178 = sK9
& rpoint(sK8)
& vd1179 = sK8
& rpoint(sK7)
& vd1180 = sK7
& vd1178 != vd1179
& vd1178 != vd1180
& vd1179 != vd1180
& rpoint(sK6)
& vd1185 = sK6
& rpoint(sK5)
& vd1186 = sK5
& rpoint(sK4)
& vd1187 = sK4
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& ! [X0] :
( ~ rline(X0)
| ~ ron(vd1185,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1187,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9]),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6),skolemize(X4,sK7),skolemize(X5,sK8),skolemize(X6,sK9)],[f144]) ).
fof(f353,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( ( vf(X0,X1) != v0
| X0 = X1 )
& ( X0 != X1
| vf(X0,X1) = v0 ) ) ),
inference(nnf_transformation,[],[f152]) ).
fof(f369,plain,
! [X0,X1] :
( ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1
| ? [X2] :
( rcircle(X2)
& rcenter(X0,X2)
& ron(X1,X2) ) ),
inference(rectify,[],[f198]) ).
fof(f370,plain,
! [X0,X1] :
( ! [X4] :
( ~ rpoint(X4)
| X0 != X4 )
| ! [X3] :
( ~ rpoint(X3)
| X1 != X3 )
| X0 = X1
| ( rcircle(sK15(X0,X1))
& rcenter(X0,sK15(X0,X1))
& ron(X1,sK15(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X2,sK15(X0,X1))],[f369]) ).
fof(f425,plain,
~ rR(vd1185,vd1199,vd1186),
inference(cnf_transformation,[],[f141]) ).
fof(f426,plain,
~ rR(vd1199,vd1185,vd1186),
inference(cnf_transformation,[],[f141]) ).
fof(f427,plain,
vd1199 != vd1185,
inference(cnf_transformation,[],[f3]) ).
fof(f430,plain,
ron(vd1185,vd1197),
inference(cnf_transformation,[],[f6]) ).
fof(f432,plain,
vd1186 = vd1200,
inference(cnf_transformation,[],[f8]) ).
fof(f433,plain,
ron(vd1186,vd1197),
inference(cnf_transformation,[],[f9]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| 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(cnf_transformation,[],[f143]) ).
fof(f435,plain,
vf(vd1199,vd1200) = vf(vd1185,vd1186),
inference(cnf_transformation,[],[f11]) ).
fof(f437,plain,
rline(vd1197),
inference(cnf_transformation,[],[f13]) ).
fof(f439,plain,
~ rR(vd1186,vd1199,vd1185),
inference(cnf_transformation,[],[f15]) ).
fof(f440,plain,
ron(vd1199,vd1197),
inference(cnf_transformation,[],[f16]) ).
fof(f441,plain,
vf(vd1178,vd1180) = vf(vd1199,vd1201),
inference(cnf_transformation,[],[f17]) ).
fof(f442,plain,
vf(vd1179,vd1180) = vf(vd1200,vd1201),
inference(cnf_transformation,[],[f18]) ).
fof(f443,plain,
vf(vd1199,vd1200) = vf(vd1178,vd1179),
inference(cnf_transformation,[],[f19]) ).
fof(f448,plain,
vd1201 = sK1,
inference(cnf_transformation,[],[f349]) ).
fof(f449,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f350]) ).
fof(f450,plain,
vd1200 = sK2,
inference(cnf_transformation,[],[f350]) ).
fof(f451,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f351]) ).
fof(f452,plain,
vd1199 = sK3,
inference(cnf_transformation,[],[f351]) ).
fof(f455,plain,
vd1178 = sK9,
inference(cnf_transformation,[],[f352]) ).
fof(f457,plain,
vd1179 = sK8,
inference(cnf_transformation,[],[f352]) ).
fof(f459,plain,
vd1180 = sK7,
inference(cnf_transformation,[],[f352]) ).
fof(f463,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f352]) ).
fof(f464,plain,
vd1185 = sK6,
inference(cnf_transformation,[],[f352]) ).
fof(f468,plain,
vd1187 = sK4,
inference(cnf_transformation,[],[f352]) ).
fof(f469,plain,
vf(vd1185,vd1186) = vf(vd1178,vd1179),
inference(cnf_transformation,[],[f352]) ).
fof(f470,plain,
vf(vd1178,vd1180) = vf(vd1185,vd1187),
inference(cnf_transformation,[],[f352]) ).
fof(f476,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) != v0
| X0 = X1 ),
inference(cnf_transformation,[],[f353]) ).
fof(f507,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| X2 != X3
| ~ rinside(X0,X2)
| ~ ron(X0,X2) ),
inference(cnf_transformation,[],[f192]) ).
fof(f519,plain,
! [X3,X0,X1,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X1 != X3
| X0 = X1
| rcircle(sK15(X0,X1)) ),
inference(cnf_transformation,[],[f370]) ).
fof(f520,plain,
! [X3,X0,X1,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X1 != X3
| X0 = X1
| rcenter(X0,sK15(X0,X1)) ),
inference(cnf_transformation,[],[f370]) ).
fof(f521,plain,
! [X3,X0,X1,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X1 != X3
| X0 = X1
| ron(X1,sK15(X0,X1)) ),
inference(cnf_transformation,[],[f370]) ).
fof(f557,plain,
v0 = vd684,
inference(cnf_transformation,[],[f69]) ).
fof(f587,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| X2 != X3
| ~ rR(X1,X0,X2)
| rR(X1,X2,X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f591,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f266]) ).
fof(f705,plain,
vd1186 = sK2,
inference(definition_unfolding,[],[f432,f450]) ).
fof(f706,plain,
~ rR(sK3,sK6,sK2),
inference(definition_unfolding,[],[f426,f452,f464,f705]) ).
fof(f707,plain,
~ rR(sK6,sK3,sK2),
inference(definition_unfolding,[],[f425,f464,f452,f705]) ).
fof(f708,plain,
sK3 != sK6,
inference(definition_unfolding,[],[f427,f452,f464]) ).
fof(f711,plain,
ron(sK6,vd1197),
inference(definition_unfolding,[],[f430,f464]) ).
fof(f713,plain,
ron(sK2,vd1197),
inference(definition_unfolding,[],[f433,f705]) ).
fof(f714,plain,
vf(sK3,sK2) = vf(sK6,sK2),
inference(definition_unfolding,[],[f435,f452,f450,f464,f705]) ).
fof(f717,plain,
~ rR(sK2,sK3,sK6),
inference(definition_unfolding,[],[f439,f705,f452,f464]) ).
fof(f718,plain,
ron(sK3,vd1197),
inference(definition_unfolding,[],[f440,f452]) ).
fof(f719,plain,
vf(sK9,sK7) = vf(sK3,sK1),
inference(definition_unfolding,[],[f441,f455,f459,f452,f448]) ).
fof(f720,plain,
vf(sK8,sK7) = vf(sK2,sK1),
inference(definition_unfolding,[],[f442,f457,f459,f450,f448]) ).
fof(f721,plain,
vf(sK3,sK2) = vf(sK9,sK8),
inference(definition_unfolding,[],[f443,f452,f450,f455,f457]) ).
fof(f728,plain,
vf(sK9,sK7) = vf(sK6,sK4),
inference(definition_unfolding,[],[f470,f455,f459,f464,f468]) ).
fof(f729,plain,
vf(sK6,sK2) = vf(sK9,sK8),
inference(definition_unfolding,[],[f469,f464,f705,f455,f457]) ).
fof(f735,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) != vd684
| X0 = X1 ),
inference(definition_unfolding,[],[f476,f557]) ).
fof(f743,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ~ ron(X2,X4)
| rR(X2,X0,X1)
| rR(X0,X1,X2)
| rR(X1,X0,X2) ),
inference(equality_resolution,[],[f434]) ).
fof(f744,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X0 = X1
| X0 = X5
| X1 = X5
| ~ rline(X4)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ~ ron(X5,X4)
| rR(X5,X0,X1)
| rR(X0,X1,X5)
| rR(X1,X0,X5) ),
inference(equality_resolution,[],[f743]) ).
fof(f745,plain,
! [X0,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| ~ rpoint(X5)
| X0 = X6
| X0 = X5
| X5 = X6
| ~ rline(X4)
| ~ ron(X0,X4)
| ~ ron(X6,X4)
| ~ ron(X5,X4)
| rR(X5,X0,X6)
| rR(X0,X6,X5)
| rR(X6,X0,X5) ),
inference(equality_resolution,[],[f744]) ).
fof(f746,plain,
! [X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rpoint(X6)
| ~ rpoint(X5)
| X6 = X7
| X5 = X7
| X5 = X6
| ~ rline(X4)
| ~ ron(X7,X4)
| ~ ron(X6,X4)
| ~ ron(X5,X4)
| rR(X5,X7,X6)
| rR(X7,X6,X5)
| rR(X6,X7,X5) ),
inference(equality_resolution,[],[f745]) ).
fof(f762,plain,
! [X2,X3,X0] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| vf(X0,X2) != vd684
| X0 = X2 ),
inference(equality_resolution,[],[f735]) ).
fof(f763,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vd684 != vf(X3,X2)
| X2 = X3 ),
inference(equality_resolution,[],[f762]) ).
fof(f851,plain,
! [X3,X0,X1] :
( ~ rpoint(X1)
| X0 != X1
| ~ rcircle(X3)
| ~ rinside(X0,X3)
| ~ ron(X0,X3) ),
inference(equality_resolution,[],[f507]) ).
fof(f852,plain,
! [X3,X1] :
( ~ rpoint(X1)
| ~ rcircle(X3)
| ~ rinside(X1,X3)
| ~ ron(X1,X3) ),
inference(equality_resolution,[],[f851]) ).
fof(f883,plain,
! [X3,X0,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X0 = X3
| ron(X3,sK15(X0,X3)) ),
inference(equality_resolution,[],[f521]) ).
fof(f884,plain,
! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| X3 = X4
| ron(X3,sK15(X4,X3)) ),
inference(equality_resolution,[],[f883]) ).
fof(f885,plain,
! [X3,X0,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X0 = X3
| rcenter(X0,sK15(X0,X3)) ),
inference(equality_resolution,[],[f520]) ).
fof(f886,plain,
! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| X3 = X4
| rcenter(X4,sK15(X4,X3)) ),
inference(equality_resolution,[],[f885]) ).
fof(f887,plain,
! [X3,X0,X4] :
( ~ rpoint(X4)
| X0 != X4
| ~ rpoint(X3)
| X0 = X3
| rcircle(sK15(X0,X3)) ),
inference(equality_resolution,[],[f519]) ).
fof(f888,plain,
! [X3,X4] :
( ~ rpoint(X4)
| ~ rpoint(X3)
| X3 = X4
| rcircle(sK15(X4,X3)) ),
inference(equality_resolution,[],[f887]) ).
fof(f1096,plain,
! [X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rpoint(X3)
| ~ rR(X1,X0,X3)
| rR(X1,X3,X0) ),
inference(equality_resolution,[],[f587]) ).
fof(f1097,plain,
! [X3,X0,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X0,X3)
| rR(X4,X3,X0) ),
inference(equality_resolution,[],[f1096]) ).
fof(f1098,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rR(X4,X5,X3)
| rR(X4,X3,X5) ),
inference(equality_resolution,[],[f1097]) ).
tcf(c_49,negated_conjecture,
~ rR(sK3,sK6,sK2),
inference(cnf_transformation,[],[f706]) ).
tcf(c_50,negated_conjecture,
~ rR(sK6,sK3,sK2),
inference(cnf_transformation,[],[f707]) ).
tcf(c_51,plain,
sK3 != sK6,
inference(cnf_transformation,[],[f708]) ).
tcf(c_54,plain,
ron(sK6,vd1197),
inference(cnf_transformation,[],[f711]) ).
tcf(c_56,plain,
ron(sK2,vd1197),
inference(cnf_transformation,[],[f713]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( rR(X3,X2,X0)
| rR(X2,X0,X3)
| rR(X0,X2,X3)
| ( X2 = X3 )
| ( X0 = X3 )
| ( X0 = X2 )
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rline(X1)
| ~ ron(X3,X1)
| ~ ron(X2,X1)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[],[f746]) ).
tcf(c_58,plain,
vf(sK3,sK2) = vf(sK6,sK2),
inference(cnf_transformation,[],[f714]) ).
tcf(c_60,plain,
rline(vd1197),
inference(cnf_transformation,[],[f437]) ).
tcf(c_62,plain,
~ rR(sK2,sK3,sK6),
inference(cnf_transformation,[],[f717]) ).
tcf(c_63,plain,
ron(sK3,vd1197),
inference(cnf_transformation,[],[f718]) ).
tcf(c_64,plain,
vf(sK3,sK1) = vf(sK9,sK7),
inference(cnf_transformation,[],[f719]) ).
tcf(c_65,plain,
vf(sK2,sK1) = vf(sK8,sK7),
inference(cnf_transformation,[],[f720]) ).
tcf(c_66,plain,
vf(sK3,sK2) = vf(sK9,sK8),
inference(cnf_transformation,[],[f721]) ).
tcf(c_71,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f449]) ).
tcf(c_72,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f451]) ).
tcf(c_76,plain,
vf(sK6,sK4) = vf(sK9,sK7),
inference(cnf_transformation,[],[f728]) ).
tcf(c_77,plain,
vf(sK6,sK2) = vf(sK9,sK8),
inference(cnf_transformation,[],[f729]) ).
tcf(c_81,plain,
rpoint(sK6),
inference(cnf_transformation,[],[f463]) ).
tcf(c_91,plain,
! [X0: $i] :
( ( vf(X0,X0) = vd684 )
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f1441]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ rpoint(X1)
| ~ rpoint(X0)
| ( vf(X0,X1) != vd684 ) ),
inference(cnf_transformation,[],[f763]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i] :
( ~ rcircle(X1)
| ~ rpoint(X0)
| ~ rinside(X0,X1)
| ~ ron(X0,X1) ),
inference(cnf_transformation,[],[f852]) ).
tcf(c_134,plain,
! [X0: $i,X1: $i] :
( ron(X1,sK15(X0,X1))
| ( X0 = X1 )
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f884]) ).
tcf(c_135,plain,
! [X0: $i,X1: $i] :
( rcenter(X0,sK15(X0,X1))
| ( X0 = X1 )
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f886]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i] :
( rcircle(sK15(X0,X1))
| ( X0 = X1 )
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f888]) ).
tcf(c_204,plain,
! [X0: $i,X1: $i,X2: $i] :
( rR(X0,X2,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[],[f1098]) ).
tcf(c_205,plain,
! [X0: $i,X1: $i] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(cnf_transformation,[],[f591]) ).
tcf(c_627,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X0_iProver_rinside_2: iProver_rinside_2] :
( rinside(X0_iProver_rinside_1,X0_iProver_rinside_2)
| ~ rcenter(X0_iProver_rinside_1,X0_iProver_rinside_2) ),
inference(subtyping,[status(esa)],[c_205]) ).
tcf(c_628,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1,X2_iProver_rinside_1: iProver_rinside_1] :
( rR(X0_iProver_rinside_1,X2_iProver_rinside_1,X1_iProver_rinside_1)
| ~ rpoint(X2_iProver_rinside_1)
| ~ rpoint(X1_iProver_rinside_1)
| ~ rpoint(X0_iProver_rinside_1)
| ~ rR(X0_iProver_rinside_1,X1_iProver_rinside_1,X2_iProver_rinside_1) ),
inference(subtyping,[status(esa)],[c_204]) ).
tcf(c_692,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( rcircle(sK15(X0_iProver_rinside_1,X1_iProver_rinside_1))
| ( X0_iProver_rinside_1 = X1_iProver_rinside_1 )
| ~ rpoint(X1_iProver_rinside_1)
| ~ rpoint(X0_iProver_rinside_1) ),
inference(subtyping,[status(esa)],[c_136]) ).
tcf(c_693,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( rcenter(X0_iProver_rinside_1,sK15(X0_iProver_rinside_1,X1_iProver_rinside_1))
| ( X0_iProver_rinside_1 = X1_iProver_rinside_1 )
| ~ rpoint(X1_iProver_rinside_1)
| ~ rpoint(X0_iProver_rinside_1) ),
inference(subtyping,[status(esa)],[c_135]) ).
tcf(c_694,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( ron(X0_iProver_rinside_1,sK15(X1_iProver_rinside_1,X0_iProver_rinside_1))
| ( X1_iProver_rinside_1 = X0_iProver_rinside_1 )
| ~ rpoint(X1_iProver_rinside_1)
| ~ rpoint(X0_iProver_rinside_1) ),
inference(subtyping,[status(esa)],[c_134]) ).
tcf(c_706,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X0_iProver_rinside_2: iProver_rinside_2] :
( ~ rcircle(X0_iProver_rinside_2)
| ~ rpoint(X0_iProver_rinside_1)
| ~ rinside(X0_iProver_rinside_1,X0_iProver_rinside_2)
| ~ ron(X0_iProver_rinside_1,X0_iProver_rinside_2) ),
inference(subtyping,[status(esa)],[c_122]) ).
tcf(c_735,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( ( X0_iProver_rinside_1 = X1_iProver_rinside_1 )
| ~ rpoint(X1_iProver_rinside_1)
| ~ rpoint(X0_iProver_rinside_1)
| ( vf(X0_iProver_rinside_1,X1_iProver_rinside_1) != vd684 ) ),
inference(subtyping,[status(esa)],[c_92]) ).
tcf(c_736,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( ( vf(X0_iProver_rinside_1,X0_iProver_rinside_1) = vd684 )
| ~ rpoint(X0_iProver_rinside_1) ),
inference(subtyping,[status(esa)],[c_91]) ).
tcf(c_750,plain,
vf(sK6,sK2) = vf(sK9,sK8),
inference(subtyping,[status(esa)],[c_77]) ).
tcf(c_751,plain,
vf(sK6,sK4) = vf(sK9,sK7),
inference(subtyping,[status(esa)],[c_76]) ).
tcf(c_761,plain,
vf(sK3,sK2) = vf(sK9,sK8),
inference(subtyping,[status(esa)],[c_66]) ).
tcf(c_762,plain,
vf(sK2,sK1) = vf(sK8,sK7),
inference(subtyping,[status(esa)],[c_65]) ).
tcf(c_763,plain,
vf(sK3,sK1) = vf(sK9,sK7),
inference(subtyping,[status(esa)],[c_64]) ).
tcf(c_767,plain,
vf(sK3,sK2) = vf(sK6,sK2),
inference(subtyping,[status(esa)],[c_58]) ).
tcf(c_768,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X0_iProver_rinside_2: iProver_rinside_2,X1_iProver_rinside_1: iProver_rinside_1,X2_iProver_rinside_1: iProver_rinside_1] :
( rR(X2_iProver_rinside_1,X1_iProver_rinside_1,X0_iProver_rinside_1)
| rR(X1_iProver_rinside_1,X0_iProver_rinside_1,X2_iProver_rinside_1)
| rR(X0_iProver_rinside_1,X1_iProver_rinside_1,X2_iProver_rinside_1)
| ( X1_iProver_rinside_1 = X2_iProver_rinside_1 )
| ( X0_iProver_rinside_1 = X2_iProver_rinside_1 )
| ( X0_iProver_rinside_1 = X1_iProver_rinside_1 )
| ~ rpoint(X2_iProver_rinside_1)
| ~ rpoint(X1_iProver_rinside_1)
| ~ rpoint(X0_iProver_rinside_1)
| ~ rline(X0_iProver_rinside_2)
| ~ ron(X2_iProver_rinside_1,X0_iProver_rinside_2)
| ~ ron(X1_iProver_rinside_1,X0_iProver_rinside_2)
| ~ ron(X0_iProver_rinside_1,X0_iProver_rinside_2) ),
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_772,plain,
sK3 != sK6,
inference(subtyping,[status(esa)],[c_51]) ).
tcf(c_776,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] : X0_iProver_rinside_1 = X0_iProver_rinside_1,
theory(equality) ).
tcf(c_778,plain,
! [X0_iProver_vg_0: iProver_vg_0] : X0_iProver_vg_0 = X0_iProver_vg_0,
theory(equality) ).
tcf(c_779,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1,X2_iProver_rinside_1: iProver_rinside_1] :
( ( X2_iProver_rinside_1 = X0_iProver_rinside_1 )
| ( X2_iProver_rinside_1 != X1_iProver_rinside_1 )
| ( X0_iProver_rinside_1 != X1_iProver_rinside_1 ) ),
theory(equality) ).
tcf(c_781,plain,
! [X0_iProver_vg_0: iProver_vg_0,X1_iProver_vg_0: iProver_vg_0,X2_iProver_vg_0: iProver_vg_0] :
( ( X2_iProver_vg_0 = X0_iProver_vg_0 )
| ( X2_iProver_vg_0 != X1_iProver_vg_0 )
| ( X0_iProver_vg_0 != X1_iProver_vg_0 ) ),
theory(equality) ).
tcf(c_786,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1,X2_iProver_rinside_1: iProver_rinside_1,X3_iProver_rinside_1: iProver_rinside_1] :
( ( vf(X0_iProver_rinside_1,X2_iProver_rinside_1) = vf(X1_iProver_rinside_1,X3_iProver_rinside_1) )
| ( X2_iProver_rinside_1 != X3_iProver_rinside_1 )
| ( X0_iProver_rinside_1 != X1_iProver_rinside_1 ) ),
theory(equality) ).
tcf(c_791,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X0_iProver_rinside_2: iProver_rinside_2,X1_iProver_rinside_1: iProver_rinside_1] :
( rinside(X0_iProver_rinside_1,X0_iProver_rinside_2)
| ~ rinside(X1_iProver_rinside_1,X0_iProver_rinside_2)
| ( X0_iProver_rinside_1 != X1_iProver_rinside_1 ) ),
theory(equality) ).
tcf(c_793,plain,
! [X0_iProver_vg_0: iProver_vg_0,X1_iProver_vg_0: iProver_vg_0] :
( rreal(X0_iProver_vg_0)
| ~ rreal(X1_iProver_vg_0)
| ( X0_iProver_vg_0 != X1_iProver_vg_0 ) ),
theory(equality) ).
tcf(c_800,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_776]) ).
tcf(c_945,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X0_iProver_rinside_2: iProver_rinside_2] :
( rR(sK6,sK3,X0_iProver_rinside_1)
| rR(sK3,X0_iProver_rinside_1,sK6)
| rR(X0_iProver_rinside_1,sK3,sK6)
| ( sK3 = sK6 )
| ( X0_iProver_rinside_1 = sK6 )
| ( X0_iProver_rinside_1 = sK3 )
| ~ rpoint(sK6)
| ~ rpoint(sK3)
| ~ rpoint(X0_iProver_rinside_1)
| ~ rline(X0_iProver_rinside_2)
| ~ ron(sK6,X0_iProver_rinside_2)
| ~ ron(sK3,X0_iProver_rinside_2)
| ~ ron(X0_iProver_rinside_1,X0_iProver_rinside_2) ),
inference(instantiation,[status(thm)],[c_768]) ).
tcf(c_946,plain,
( rR(sK2,sK3,sK6)
| rR(sK6,sK3,sK2)
| rR(sK3,sK2,sK6)
| ( sK2 = sK6 )
| ( sK2 = sK3 )
| ( sK3 = sK6 )
| ~ rpoint(sK2)
| ~ rpoint(sK6)
| ~ rpoint(sK3)
| ~ rline(vd1197)
| ~ ron(sK2,vd1197)
| ~ ron(sK6,vd1197)
| ~ ron(sK3,vd1197) ),
inference(instantiation,[status(thm)],[c_945]) ).
tcf(c_1131,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( ( sK3 = sK6 )
| ( sK6 != X0_iProver_rinside_1 )
| ( sK3 != X0_iProver_rinside_1 ) ),
inference(instantiation,[status(thm)],[c_779]) ).
tcf(c_1132,plain,
( ( sK3 = sK6 )
| ( sK6 != sK2 )
| ( sK3 != sK2 ) ),
inference(instantiation,[status(thm)],[c_1131]) ).
tcf(c_2559,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( ( sK6 = X0_iProver_rinside_1 )
| ~ rpoint(sK6)
| ~ rpoint(X0_iProver_rinside_1)
| ( vf(sK6,X0_iProver_rinside_1) != vd684 ) ),
inference(instantiation,[status(thm)],[c_735]) ).
tcf(c_2566,plain,
( ( sK6 = sK2 )
| ~ rpoint(sK2)
| ~ rpoint(sK6)
| ( vf(sK6,sK2) != vd684 ) ),
inference(instantiation,[status(thm)],[c_2559]) ).
tcf(c_2765,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vf(sK6,sK2) = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != vf(sK9,sK8) ) ),
inference(resolution,[status(thm)],[c_781,c_750]) ).
tcf(c_2767,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vf(sK6,sK4) = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != vf(sK9,sK7) ) ),
inference(resolution,[status(thm)],[c_781,c_751]) ).
tcf(c_2783,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vf(sK3,sK2) = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != vf(sK6,sK2) ) ),
inference(resolution,[status(thm)],[c_781,c_767]) ).
tcf(c_2785,plain,
! [X0_iProver_vg_0: iProver_vg_0,X1_iProver_vg_0: iProver_vg_0] :
( ( X1_iProver_vg_0 = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != X1_iProver_vg_0 ) ),
inference(resolution,[status(thm)],[c_781,c_778]) ).
tcf(c_2853,plain,
vf(sK6,sK2) = vf(sK3,sK2),
inference(resolution,[status(thm)],[c_2765,c_761]) ).
tcf(c_2857,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vf(sK6,sK2) = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != vf(sK3,sK2) ) ),
inference(resolution,[status(thm)],[c_2853,c_781]) ).
tcf(c_2882,plain,
vf(sK6,sK4) = vf(sK3,sK1),
inference(resolution,[status(thm)],[c_2767,c_763]) ).
tcf(c_2913,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vf(sK6,sK4) = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != vf(sK3,sK1) ) ),
inference(resolution,[status(thm)],[c_2882,c_781]) ).
tcf(c_3909,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( ( vf(sK3,sK2) = vf(X0_iProver_rinside_1,X1_iProver_rinside_1) )
| ( X1_iProver_rinside_1 != sK2 )
| ( X0_iProver_rinside_1 != sK6 ) ),
inference(resolution,[status(thm)],[c_2783,c_786]) ).
tcf(c_3939,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( ( vf(sK6,sK2) = vf(X0_iProver_rinside_1,X1_iProver_rinside_1) )
| ( X1_iProver_rinside_1 != sK2 )
| ( X0_iProver_rinside_1 != sK3 ) ),
inference(resolution,[status(thm)],[c_2857,c_786]) ).
tcf(c_3970,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( ( vf(sK6,sK4) = vf(X0_iProver_rinside_1,X1_iProver_rinside_1) )
| ( X1_iProver_rinside_1 != sK1 )
| ( X0_iProver_rinside_1 != sK3 ) ),
inference(resolution,[status(thm)],[c_2913,c_786]) ).
tcf(c_5570,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( rcenter(sK3,sK15(sK3,X0_iProver_rinside_1))
| ( sK3 = X0_iProver_rinside_1 )
| ~ rpoint(sK3)
| ~ rpoint(X0_iProver_rinside_1) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_5571,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( ( sK3 = X0_iProver_rinside_1 )
| ~ rpoint(sK3)
| ~ rpoint(X0_iProver_rinside_1)
| ( vf(sK3,X0_iProver_rinside_1) != vd684 ) ),
inference(instantiation,[status(thm)],[c_735]) ).
tcf(c_5573,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( rcircle(sK15(sK3,X0_iProver_rinside_1))
| ( sK3 = X0_iProver_rinside_1 )
| ~ rpoint(sK3)
| ~ rpoint(X0_iProver_rinside_1) ),
inference(instantiation,[status(thm)],[c_692]) ).
tcf(c_5576,plain,
( rcircle(sK15(sK3,sK2))
| ( sK3 = sK2 )
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(instantiation,[status(thm)],[c_5573]) ).
tcf(c_5578,plain,
( ( sK3 = sK2 )
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ( vf(sK3,sK2) != vd684 ) ),
inference(instantiation,[status(thm)],[c_5571]) ).
tcf(c_5579,plain,
( rcenter(sK3,sK15(sK3,sK2))
| ( sK3 = sK2 )
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(instantiation,[status(thm)],[c_5570]) ).
tcf(c_5593,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( ron(X0_iProver_rinside_1,sK15(sK3,X0_iProver_rinside_1))
| ( sK3 = X0_iProver_rinside_1 )
| ~ rpoint(sK3)
| ~ rpoint(X0_iProver_rinside_1) ),
inference(instantiation,[status(thm)],[c_694]) ).
tcf(c_5596,plain,
( ron(sK2,sK15(sK3,sK2))
| ( sK3 = sK2 )
| ~ rpoint(sK2)
| ~ rpoint(sK3) ),
inference(instantiation,[status(thm)],[c_5593]) ).
tcf(c_5611,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( rR(sK3,sK6,X0_iProver_rinside_1)
| ~ rpoint(sK6)
| ~ rpoint(sK3)
| ~ rpoint(X0_iProver_rinside_1)
| ~ rR(sK3,X0_iProver_rinside_1,sK6) ),
inference(instantiation,[status(thm)],[c_628]) ).
tcf(c_5612,plain,
( rR(sK3,sK6,sK2)
| ~ rpoint(sK2)
| ~ rpoint(sK6)
| ~ rpoint(sK3)
| ~ rR(sK3,sK2,sK6) ),
inference(instantiation,[status(thm)],[c_5611]) ).
tcf(c_5753,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X0_iProver_vg_0: iProver_vg_0,X1_iProver_rinside_1: iProver_rinside_1] :
( ( vf(sK3,sK2) = X0_iProver_vg_0 )
| ( X1_iProver_rinside_1 != sK2 )
| ( X0_iProver_vg_0 != vf(X0_iProver_rinside_1,X1_iProver_rinside_1) )
| ( X0_iProver_rinside_1 != sK6 ) ),
inference(resolution,[status(thm)],[c_3909,c_781]) ).
tcf(c_5754,plain,
( ( vf(sK3,sK2) = vd684 )
| ( vd684 != vf(sK2,sK2) )
| ( sK2 != sK2 )
| ( sK2 != sK6 ) ),
inference(instantiation,[status(thm)],[c_5753]) ).
tcf(c_5812,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X0_iProver_vg_0: iProver_vg_0,X1_iProver_rinside_1: iProver_rinside_1] :
( ( vf(sK6,sK2) = X0_iProver_vg_0 )
| ( X1_iProver_rinside_1 != sK2 )
| ( X0_iProver_vg_0 != vf(X0_iProver_rinside_1,X1_iProver_rinside_1) )
| ( X0_iProver_rinside_1 != sK3 ) ),
inference(resolution,[status(thm)],[c_3939,c_781]) ).
tcf(c_5813,plain,
( ( vf(sK6,sK2) = vd684 )
| ( vd684 != vf(sK2,sK2) )
| ( sK2 != sK2 )
| ( sK2 != sK3 ) ),
inference(instantiation,[status(thm)],[c_5812]) ).
tcf(c_7006,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( ( vd684 = vf(X0_iProver_rinside_1,X0_iProver_rinside_1) )
| ~ rpoint(X0_iProver_rinside_1) ),
inference(resolution,[status(thm)],[c_2785,c_736]) ).
tcf(c_7007,plain,
( ( vd684 = vf(sK2,sK2) )
| ~ rpoint(sK2) ),
inference(instantiation,[status(thm)],[c_7006]) ).
tcf(c_7015,plain,
vf(sK8,sK7) = vf(sK2,sK1),
inference(resolution,[status(thm)],[c_2785,c_762]) ).
tcf(c_8252,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vf(sK8,sK7) = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != vf(sK2,sK1) ) ),
inference(resolution,[status(thm)],[c_7015,c_781]) ).
tcf(c_9182,plain,
( ( vf(sK8,sK7) = vf(sK6,sK4) )
| ( sK1 != sK1 )
| ( sK2 != sK3 ) ),
inference(resolution,[status(thm)],[c_8252,c_3970]) ).
tcf(c_9183,plain,
( ( vf(sK8,sK7) = vf(sK6,sK4) )
| ( sK2 != sK3 ) ),
inference(equality_resolution_simp,[status(thm)],[c_9182]) ).
tcf(c_9196,plain,
! [X0_iProver_rinside_1: iProver_rinside_1] :
( rinside(sK3,sK15(sK3,X0_iProver_rinside_1))
| ~ rcenter(sK3,sK15(sK3,X0_iProver_rinside_1)) ),
inference(instantiation,[status(thm)],[c_627]) ).
tcf(c_9197,plain,
( rinside(sK3,sK15(sK3,sK2))
| ~ rcenter(sK3,sK15(sK3,sK2)) ),
inference(instantiation,[status(thm)],[c_9196]) ).
tcf(c_9297,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( ~ rpoint(X0_iProver_rinside_1)
| ~ rcircle(sK15(sK3,X1_iProver_rinside_1))
| ~ rinside(X0_iProver_rinside_1,sK15(sK3,X1_iProver_rinside_1))
| ~ ron(X0_iProver_rinside_1,sK15(sK3,X1_iProver_rinside_1)) ),
inference(instantiation,[status(thm)],[c_706]) ).
tcf(c_9318,plain,
( ~ rpoint(sK2)
| ~ rcircle(sK15(sK3,sK2))
| ~ rinside(sK2,sK15(sK3,sK2))
| ~ ron(sK2,sK15(sK3,sK2)) ),
inference(instantiation,[status(thm)],[c_9297]) ).
tcf(c_10677,plain,
( ( vf(sK6,sK4) = vf(sK8,sK7) )
| ( sK2 != sK3 ) ),
inference(resolution,[status(thm)],[c_9183,c_2785]) ).
tcf(c_11956,plain,
( rreal(vf(sK6,sK4))
| ~ rreal(vf(sK8,sK7))
| ( sK2 != sK3 ) ),
inference(resolution,[status(thm)],[c_10677,c_793]) ).
tcf(c_13784,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( rinside(X0_iProver_rinside_1,sK15(sK3,X1_iProver_rinside_1))
| ~ rinside(sK3,sK15(sK3,X1_iProver_rinside_1))
| ( X0_iProver_rinside_1 != sK3 ) ),
inference(instantiation,[status(thm)],[c_791]) ).
tcf(c_13785,plain,
( rinside(sK2,sK15(sK3,sK2))
| ~ rinside(sK3,sK15(sK3,sK2))
| ( sK2 != sK3 ) ),
inference(instantiation,[status(thm)],[c_13784]) ).
tcf(c_16782,plain,
sK2 != sK3,
inference(global_subsumption_just,[status(thm)],[c_11956,c_81,c_72,c_71,c_800,c_772,c_1132,c_2566,c_5576,c_5579,c_5596,c_5813,c_7007,c_9197,c_9318,c_13785]) ).
tcf(c_41527,plain,
! [X0_iProver_rinside_1: iProver_rinside_1,X1_iProver_rinside_1: iProver_rinside_1] :
( ( X0_iProver_rinside_1 = sK3 )
| ( sK3 != X1_iProver_rinside_1 )
| ( X0_iProver_rinside_1 != X1_iProver_rinside_1 ) ),
inference(instantiation,[status(thm)],[c_779]) ).
tcf(c_41530,plain,
( ( sK2 = sK3 )
| ( sK2 != sK2 )
| ( sK3 != sK2 ) ),
inference(instantiation,[status(thm)],[c_41527]) ).
tcf(c_41531,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_41530,c_16782,c_7007,c_5754,c_5612,c_5578,c_946,c_772,c_800,c_62,c_49,c_50,c_54,c_56,c_63,c_60,c_71,c_72,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO290+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n009.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 11:49:58 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.44 % Detected problem language: tptp
% 0.10/0.46 % Proving...
% 50.70/13.45 % SZS status Started for theBenchmark.p
% 50.70/13.45 % SZS status Theorem for theBenchmark.p
% 50.70/13.45
% 50.70/13.45 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 50.70/13.45
% 50.70/13.45 % ------ iProver source info
% 50.70/13.45
% 50.70/13.45 % git: date: 2026-07-19 20:42:38 +0200
% 50.70/13.45 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 50.70/13.45 % git: non_committed_changes: false
% 50.70/13.45
% 50.70/13.45 % ------ Parsing...
% 50.70/13.45 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 50.70/13.45
% 50.70/13.45 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 50.70/13.45
% 50.70/13.45 % ------ Preprocessing...%
% 50.70/13.45
% 50.70/13.45 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 50.70/13.45 % ------ Proving...
% 50.70/13.45 % ------ Problem Properties
% 50.70/13.45
% 50.70/13.45 %
% 50.70/13.45 % clauses 262
% 50.70/13.45 % conjectures 2
% 50.70/13.45 % EPR 67
% 50.70/13.45 % Horn 187
% 50.70/13.45 % unary 35
% 50.70/13.45 % binary 32
% 50.70/13.45 % lits 1503
% 50.70/13.45 % lits eq 192
% 50.70/13.45 % fd_pure 0
% 50.70/13.45 % fd_pseudo 0
% 50.70/13.45 % fd_cond 0
% 50.70/13.45 % fd_pseudo_cond 50
% 50.70/13.45 % AC symbols 0
% 50.70/13.45
% 50.70/13.45 % ------ Input Options Time Limit: Unbounded
% 50.70/13.45
% 50.70/13.45
% 50.70/13.45 % ------
% 50.70/13.45 % Current options:
% 50.70/13.45 % ------
% 50.70/13.45
% 50.70/13.45
% 50.70/13.45 %
% 50.70/13.45
% 50.70/13.45 % ------ Proving...
% 50.70/13.45 %
% 50.70/13.45
% 50.70/13.45 % SZS status Theorem for theBenchmark.p
% 50.70/13.45
% 50.70/13.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.70/13.46
% 50.70/13.46
%------------------------------------------------------------------------------