%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO340+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 : n007.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 01:20:59 PM UTC 2026
% Result : Theorem 108.36s 17.64s
% Output : CNFRefutation 108.36s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f1569ERROR: Could not build tree for root c_79594ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
~ ? [X0] :
( rpoint(X0)
& rS(vd1386,X0,vd1391)
& vf(vd1384,vd1386) = vf(vd1384,X0)
& vf(vd1385,vd1386) = vf(vd1385,X0)
& X0 != vd1386 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(403))') ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
( rpoint(X0)
& rS(vd1386,X0,vd1391)
& vf(vd1384,vd1386) = vf(vd1384,X0)
& vf(vd1385,vd1386) = vf(vd1385,X0)
& X0 != vd1386 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ? [X2] :
( rpoint(X2)
& vd1384 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1385 = X1 )
& ? [X0] :
( rpoint(X0)
& vd1386 = X0 )
& vd1384 != vd1385
& vd1384 != vd1386
& vd1385 != vd1386
& rline(vd1392)
& ron(vd1384,vd1391)
& ron(vd1385,vd1391)
& vd1391 = vd1392 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(402), 5), and(pred(s2(plural(conjunct2(402))), 0), and(pred(s1(plural(conjunct2(402))), 0), and(pred(conjunct2(402), 1), and(pred(conjunct1(402), 9), and(pred(conjunct1(402), 8), and(pred(conjunct1(402), 7), and(qe(s3(plural(402))), and(qe(s2(plural(402))), qe(s1(plural(402))))))))))))') ).
fof(f4,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)
& X3 = X4 )
=> ! [X8] :
( ( rpoint(X8)
& rS(X2,X8,X3)
& vf(X0,X2) = vf(X0,X8)
& vf(X1,X2) = vf(X1,X8)
& X8 != X2 )
=> ! [X9] :
( X9 = vskolem1416(X8,X0,X1,X2,X3,X4)
=> ! [X10] : X10 != vskolem1419(X9,X8,X0,X1,X2,X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(404), 0), 0)') ).
fof(f5,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)
& X3 = X4 )
=> ! [X8] :
( ( rpoint(X8)
& rS(X2,X8,X3)
& vf(X0,X2) = vf(X0,X8)
& vf(X1,X2) = vf(X1,X8)
& X8 != X2 )
=> ! [X9] :
( X9 = vskolem1416(X8,X0,X1,X2,X3,X4)
=> ! [X10] :
( ( rline(X10)
& ron(X2,X10)
& ron(X8,X10) )
=> X10 = vskolem1419(X9,X8,X0,X1,X2,X3,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(404), 0), 1)') ).
fof(f6,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)
& X3 = X4 )
=> ! [X8] :
( ( rpoint(X8)
& rS(X2,X8,X3)
& vf(X0,X2) = vf(X0,X8)
& vf(X1,X2) = vf(X1,X8)
& X8 != X2 )
=> ! [X9] :
( X9 = vskolem1416(X8,X0,X1,X2,X3,X4)
=> ( rline(vskolem1419(X9,X8,X0,X1,X2,X3,X4))
& ron(X2,vskolem1419(X9,X8,X0,X1,X2,X3,X4))
& ron(X8,vskolem1419(X9,X8,X0,X1,X2,X3,X4)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(404), 0), 2)') ).
fof(f7,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)
& X3 = X4 )
=> ! [X8] :
( ( rpoint(X8)
& rS(X2,X8,X3)
& vf(X0,X2) = vf(X0,X8)
& vf(X1,X2) = vf(X1,X8)
& X8 != X2 )
=> ! [X9] :
( ( rline(X9)
& ron(X2,X9)
& ron(X0,X9) )
=> X9 = vskolem1416(X8,X0,X1,X2,X3,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(404), 0), 3)') ).
fof(f8,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)
& X3 = X4 )
=> ! [X8] :
( ( rpoint(X8)
& rS(X2,X8,X3)
& vf(X0,X2) = vf(X0,X8)
& vf(X1,X2) = vf(X1,X8)
& X8 != X2 )
=> ( rline(vskolem1416(X8,X0,X1,X2,X3,X4))
& ron(X2,vskolem1416(X8,X0,X1,X2,X3,X4))
& ron(X0,vskolem1416(X8,X0,X1,X2,X3,X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(404), 0), 4)') ).
fof(f9,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)
& X3 = X4 )
=> ! [X8] :
( ( rpoint(X8)
& rS(X2,X8,X3)
& vf(X0,X2) = vf(X0,X8)
& vf(X1,X2) = vf(X1,X8)
& X8 != X2 )
=> vangle(X0,X2,X8) = vangle(X0,X8,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(404), 0), 5)') ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X3] :
( rpoint(X3)
& X2 = X3 )
& X0 != X1
& X0 != X2
& X1 != X2
& vangle(X0,X1,X2) = vangle(X0,X2,X1) )
=> vf(X0,X1) = vf(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(382), 0), 0)') ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X3] :
( rpoint(X3)
& X2 = X3 )
& X0 != X1
& X0 != X2
& X1 != X2
& vf(X0,X1) = vf(X0,X2) )
=> ! [X6,X7,X8,X9] :
( ( rpoint(X7)
& rR(X1,X0,X6)
& rpoint(X9)
& rR(X2,X0,X8)
& X8 = X9
& X6 = X7 )
=> vangle(X2,X1,X6) = vangle(X1,X2,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(340), 0), 0)') ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( ? [X5] :
( rpoint(X5)
& X0 = X5 )
& ? [X4] :
( rpoint(X4)
& X1 = X4 )
& ? [X3] :
( rpoint(X3)
& X2 = X3 )
& X0 != X1
& X0 != X2
& X1 != X2
& vf(X0,X1) = vf(X0,X2) )
=> ! [X6,X7,X8,X9] :
( ( rpoint(X7)
& rR(X1,X0,X6)
& rpoint(X9)
& rR(X2,X0,X8)
& X8 = X9
& X6 = X7 )
=> vangle(X0,X1,X2) = vangle(X0,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(340), 0), 1)') ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X12] :
( rpoint(X12)
& X0 = X12 )
& ? [X11] :
( rpoint(X11)
& X1 = X11 )
& ? [X10] :
( rpoint(X10)
& X2 = X10 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& ? [X8] :
( rpoint(X8)
& X4 = X8 )
& ? [X7] :
( rpoint(X7)
& X5 = X7 )
& vf(X0,X1) = vf(X3,X4)
& vf(X0,X2) = vf(X3,X5)
& vangle(X1,X0,X2) = vangle(X4,X3,X5)
& ~ ? [X6] :
( rline(X6)
& ron(X3,X6)
& ron(X4,X6)
& ron(X5,X6) ) )
=> vangle(X0,X2,X1) = vangle(X3,X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(264), 0), 0)') ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X12] :
( rpoint(X12)
& X0 = X12 )
& ? [X11] :
( rpoint(X11)
& X1 = X11 )
& ? [X10] :
( rpoint(X10)
& X2 = X10 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& ? [X8] :
( rpoint(X8)
& X4 = X8 )
& ? [X7] :
( rpoint(X7)
& X5 = X7 )
& vf(X0,X1) = vf(X3,X4)
& vf(X0,X2) = vf(X3,X5)
& vangle(X1,X0,X2) = vangle(X4,X3,X5)
& ~ ? [X6] :
( rline(X6)
& ron(X3,X6)
& ron(X4,X6)
& ron(X5,X6) ) )
=> vangle(X0,X1,X2) = vangle(X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(264), 0), 1)') ).
fof(f15,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ? [X12] :
( rpoint(X12)
& X0 = X12 )
& ? [X11] :
( rpoint(X11)
& X1 = X11 )
& ? [X10] :
( rpoint(X10)
& X2 = X10 )
& X0 != X1
& X0 != X2
& X1 != X2
& ? [X9] :
( rpoint(X9)
& X3 = X9 )
& ? [X8] :
( rpoint(X8)
& X4 = X8 )
& ? [X7] :
( rpoint(X7)
& X5 = X7 )
& vf(X0,X1) = vf(X3,X4)
& vf(X0,X2) = vf(X3,X5)
& vangle(X1,X0,X2) = vangle(X4,X3,X5)
& ~ ? [X6] :
( rline(X6)
& ron(X3,X6)
& ron(X4,X6)
& ron(X5,X6) ) )
=> vf(X1,X2) = vf(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(264), 0), 2)') ).
fof(f16,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(f17,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(f18,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(f19,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(f20,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(f21,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(f22,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(f23,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(f24,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(f25,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(f26,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(f27,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(f28,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(f29,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(f30,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(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 ) )
=> ? [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(f33,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(f34,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(f35,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(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(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(f37,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(f38,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(f39,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(f40,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(f41,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(f42,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(f43,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(f44,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(f45,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(f46,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(f47,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(f48,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(f49,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(f50,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(f51,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(f52,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(f53,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(f54,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f55,axiom,
rreal(vd684),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 1)') ).
fof(f56,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(f57,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(f58,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(f59,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(f60,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(f61,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(f62,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(f63,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(f64,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(f65,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(f66,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(f67,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(f68,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(f69,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(f70,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(f71,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(f72,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(f73,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(f74,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(f75,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(f76,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(f77,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(f78,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(f79,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(f80,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(f81,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(f82,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(f83,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(f84,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(f85,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(f86,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(f87,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(f88,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(f89,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(f90,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(f91,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(f92,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(f93,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(f94,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(f95,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(f96,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(f97,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(f98,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(f99,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(f100,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(f101,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(f102,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(f103,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(f104,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(f105,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(f106,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(f107,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(f108,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(f109,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(f110,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(f111,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(f112,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(f113,axiom,
rpoint(vd14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(5), 0)') ).
fof(f115,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(f116,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(f117,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(f119,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(f120,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(f121,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(f122,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(f124,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(f126,plain,
? [X0] :
( rpoint(X0)
& rS(vd1386,X0,vd1391)
& vf(vd1384,vd1386) = vf(vd1384,X0)
& vf(vd1385,vd1386) = vf(vd1385,X0)
& X0 != vd1386 ),
inference(flattening,[],[f2]) ).
fof(f131,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)
| X3 != X4
| ! [X8] :
( ~ rpoint(X8)
| ~ rS(X2,X8,X3)
| vf(X0,X2) != vf(X0,X8)
| vf(X1,X2) != vf(X1,X8)
| X2 = X8
| ! [X9] :
( vskolem1416(X8,X0,X1,X2,X3,X4) != X9
| ! [X10] : X10 != vskolem1419(X9,X8,X0,X1,X2,X3,X4) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f132,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)
| X3 != X4
| ! [X8] :
( ~ rpoint(X8)
| ~ rS(X2,X8,X3)
| vf(X0,X2) != vf(X0,X8)
| vf(X1,X2) != vf(X1,X8)
| X2 = X8
| ! [X9] :
( vskolem1416(X8,X0,X1,X2,X3,X4) != X9
| ! [X10] : X10 != vskolem1419(X9,X8,X0,X1,X2,X3,X4) ) ) ),
inference(flattening,[],[f131]) ).
fof(f185,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f186,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
inference(flattening,[],[f185]) ).
fof(f191,plain,
! [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) ),
inference(ennf_transformation,[],[f34]) ).
fof(f192,plain,
! [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) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [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) ),
inference(ennf_transformation,[],[f35]) ).
fof(f194,plain,
! [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) ),
inference(flattening,[],[f193]) ).
fof(f361,plain,
( rpoint(sK1)
& rS(vd1386,sK1,vd1391)
& vf(vd1384,vd1386) = vf(vd1384,sK1)
& vf(vd1385,vd1386) = vf(vd1385,sK1)
& vd1386 != sK1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f126]) ).
fof(f362,plain,
( rpoint(sK4)
& vd1384 = sK4
& rpoint(sK3)
& vd1385 = sK3
& rpoint(sK2)
& vd1386 = sK2
& vd1384 != vd1385
& vd1384 != vd1386
& vd1385 != vd1386
& rline(vd1392)
& ron(vd1384,vd1391)
& ron(vd1385,vd1391)
& vd1391 = vd1392 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f3]) ).
fof(f363,plain,
! [X0,X1,X2,X3,X4] :
( ! [X10] :
( ~ rpoint(X10)
| X0 != X10 )
| ! [X9] :
( ~ rpoint(X9)
| X1 != X9 )
| ! [X8] :
( ~ rpoint(X8)
| X2 != X8 )
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4
| ! [X5] :
( ~ rpoint(X5)
| ~ rS(X2,X5,X3)
| vf(X0,X2) != vf(X0,X5)
| vf(X1,X2) != vf(X1,X5)
| X2 = X5
| ! [X6] :
( vskolem1416(X5,X0,X1,X2,X3,X4) != X6
| ! [X7] : vskolem1419(X6,X5,X0,X1,X2,X3,X4) != X7 ) ) ),
inference(rectify,[],[f132]) ).
fof(f382,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,[],[f186]) ).
fof(f446,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f361]) ).
fof(f447,plain,
rS(vd1386,sK1,vd1391),
inference(cnf_transformation,[],[f361]) ).
fof(f448,plain,
vf(vd1384,vd1386) = vf(vd1384,sK1),
inference(cnf_transformation,[],[f361]) ).
fof(f449,plain,
vf(vd1385,vd1386) = vf(vd1385,sK1),
inference(cnf_transformation,[],[f361]) ).
fof(f450,plain,
vd1386 != sK1,
inference(cnf_transformation,[],[f361]) ).
fof(f451,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f362]) ).
fof(f452,plain,
vd1384 = sK4,
inference(cnf_transformation,[],[f362]) ).
fof(f453,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f362]) ).
fof(f454,plain,
vd1385 = sK3,
inference(cnf_transformation,[],[f362]) ).
fof(f455,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f362]) ).
fof(f456,plain,
vd1386 = sK2,
inference(cnf_transformation,[],[f362]) ).
fof(f457,plain,
vd1385 != vd1384,
inference(cnf_transformation,[],[f362]) ).
fof(f459,plain,
vd1386 != vd1385,
inference(cnf_transformation,[],[f362]) ).
fof(f460,plain,
rline(vd1392),
inference(cnf_transformation,[],[f362]) ).
fof(f461,plain,
ron(vd1384,vd1391),
inference(cnf_transformation,[],[f362]) ).
fof(f462,plain,
ron(vd1385,vd1391),
inference(cnf_transformation,[],[f362]) ).
fof(f463,plain,
vd1391 = vd1392,
inference(cnf_transformation,[],[f362]) ).
fof(f464,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ rpoint(X10)
| X0 != X10
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4
| ~ rpoint(X5)
| ~ rS(X2,X5,X3)
| vf(X0,X2) != vf(X0,X5)
| vf(X1,X2) != vf(X1,X5)
| X2 = X5
| vskolem1416(X5,X0,X1,X2,X3,X4) != X6
| vskolem1419(X6,X5,X0,X1,X2,X3,X4) != X7 ),
inference(cnf_transformation,[],[f363]) ).
fof(f510,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) != v0
| X0 = X1 ),
inference(cnf_transformation,[],[f382]) ).
fof(f515,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2)
| ~ ron(X0,X2) ),
inference(cnf_transformation,[],[f192]) ).
fof(f516,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rline(X3)
| X2 != X3
| ~ rS(X0,X1,X2)
| rS(X1,X0,X2) ),
inference(cnf_transformation,[],[f194]) ).
fof(f567,plain,
v0 = vd684,
inference(cnf_transformation,[],[f54]) ).
fof(f722,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f450,f456]) ).
fof(f723,plain,
vf(sK3,sK2) = vf(sK3,sK1),
inference(definition_unfolding,[],[f449,f454,f456,f454]) ).
fof(f724,plain,
vf(sK4,sK2) = vf(sK4,sK1),
inference(definition_unfolding,[],[f448,f452,f456,f452]) ).
fof(f725,plain,
rS(sK2,sK1,vd1392),
inference(definition_unfolding,[],[f447,f456,f463]) ).
fof(f726,plain,
ron(sK3,vd1392),
inference(definition_unfolding,[],[f462,f454,f463]) ).
fof(f727,plain,
ron(sK4,vd1392),
inference(definition_unfolding,[],[f461,f452,f463]) ).
fof(f728,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f459,f456,f454]) ).
fof(f730,plain,
sK3 != sK4,
inference(definition_unfolding,[],[f457,f454,f452]) ).
fof(f735,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) != vd684
| X0 = X1 ),
inference(definition_unfolding,[],[f510,f567]) ).
fof(f740,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X4,X5] :
( ~ rpoint(X10)
| X0 != X10
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4
| ~ rpoint(X5)
| ~ rS(X2,X5,X3)
| vf(X0,X2) != vf(X0,X5)
| vf(X1,X2) != vf(X1,X5)
| X2 = X5
| vskolem1416(X5,X0,X1,X2,X3,X4) != X6 ),
inference(equality_resolution,[],[f464]) ).
fof(f741,plain,
! [X2,X3,X10,X0,X1,X8,X9,X4,X5] :
( ~ rpoint(X10)
| X0 != X10
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X3)
| ~ ron(X1,X3)
| X3 != X4
| ~ rpoint(X5)
| ~ rS(X2,X5,X3)
| vf(X0,X2) != vf(X0,X5)
| vf(X1,X2) != vf(X1,X5)
| X2 = X5 ),
inference(equality_resolution,[],[f740]) ).
fof(f742,plain,
! [X2,X10,X0,X1,X8,X9,X4,X5] :
( ~ rpoint(X10)
| X0 != X10
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X8)
| X2 != X8
| X0 = X1
| X0 = X2
| X1 = X2
| ~ rline(X4)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ~ rpoint(X5)
| ~ rS(X2,X5,X4)
| vf(X0,X2) != vf(X0,X5)
| vf(X1,X2) != vf(X1,X5)
| X2 = X5 ),
inference(equality_resolution,[],[f741]) ).
fof(f743,plain,
! [X10,X0,X1,X8,X9,X4,X5] :
( ~ rpoint(X10)
| X0 != X10
| ~ rpoint(X9)
| X1 != X9
| ~ rpoint(X8)
| X0 = X1
| X0 = X8
| X1 = X8
| ~ rline(X4)
| ~ ron(X0,X4)
| ~ ron(X1,X4)
| ~ rpoint(X5)
| ~ rS(X8,X5,X4)
| vf(X0,X8) != vf(X0,X5)
| vf(X1,X8) != vf(X1,X5)
| X5 = X8 ),
inference(equality_resolution,[],[f742]) ).
fof(f744,plain,
! [X10,X0,X8,X9,X4,X5] :
( ~ rpoint(X10)
| X0 != X10
| ~ rpoint(X9)
| ~ rpoint(X8)
| X0 = X9
| X0 = X8
| X8 = X9
| ~ rline(X4)
| ~ ron(X0,X4)
| ~ ron(X9,X4)
| ~ rpoint(X5)
| ~ rS(X8,X5,X4)
| vf(X0,X8) != vf(X0,X5)
| vf(X9,X8) != vf(X9,X5)
| X5 = X8 ),
inference(equality_resolution,[],[f743]) ).
fof(f745,plain,
! [X10,X8,X9,X4,X5] :
( ~ rpoint(X10)
| ~ rpoint(X9)
| ~ rpoint(X8)
| X9 = X10
| X8 = X10
| X8 = X9
| ~ rline(X4)
| ~ ron(X10,X4)
| ~ ron(X9,X4)
| ~ rpoint(X5)
| ~ rS(X8,X5,X4)
| vf(X10,X8) != vf(X10,X5)
| vf(X9,X8) != vf(X9,X5)
| X5 = X8 ),
inference(equality_resolution,[],[f744]) ).
fof(f947,plain,
! [X2,X3,X0] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| vf(X0,X2) != vd684
| X0 = X2 ),
inference(equality_resolution,[],[f735]) ).
fof(f948,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vd684 != vf(X3,X2)
| X2 = X3 ),
inference(equality_resolution,[],[f947]) ).
fof(f954,plain,
! [X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rline(X3)
| ~ rS(X0,X1,X3)
| ~ ron(X0,X3) ),
inference(equality_resolution,[],[f515]) ).
fof(f955,plain,
! [X3,X0,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| ~ rline(X3)
| ~ rS(X0,X4,X3)
| ~ ron(X0,X3) ),
inference(equality_resolution,[],[f954]) ).
fof(f956,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rline(X3)
| ~ rS(X5,X4,X3)
| ~ ron(X5,X3) ),
inference(equality_resolution,[],[f955]) ).
fof(f957,plain,
! [X3,X0,X1,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| X1 != X4
| ~ rline(X3)
| ~ rS(X0,X1,X3)
| rS(X1,X0,X3) ),
inference(equality_resolution,[],[f516]) ).
fof(f958,plain,
! [X3,X0,X4,X5] :
( ~ rpoint(X5)
| X0 != X5
| ~ rpoint(X4)
| ~ rline(X3)
| ~ rS(X0,X4,X3)
| rS(X4,X0,X3) ),
inference(equality_resolution,[],[f957]) ).
fof(f959,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rline(X3)
| ~ rS(X5,X4,X3)
| rS(X4,X5,X3) ),
inference(equality_resolution,[],[f958]) ).
tcf(c_49,negated_conjecture,
sK1 != sK2,
inference(cnf_transformation,[],[f722]) ).
tcf(c_50,negated_conjecture,
vf(sK3,sK1) = vf(sK3,sK2),
inference(cnf_transformation,[],[f723]) ).
tcf(c_51,negated_conjecture,
vf(sK4,sK1) = vf(sK4,sK2),
inference(cnf_transformation,[],[f724]) ).
tcf(c_52,negated_conjecture,
rS(sK2,sK1,vd1392),
inference(cnf_transformation,[],[f725]) ).
tcf(c_53,negated_conjecture,
rpoint(sK1),
inference(cnf_transformation,[],[f446]) ).
tcf(c_54,plain,
ron(sK3,vd1392),
inference(cnf_transformation,[],[f726]) ).
tcf(c_55,plain,
ron(sK4,vd1392),
inference(cnf_transformation,[],[f727]) ).
tcf(c_56,plain,
rline(vd1392),
inference(cnf_transformation,[],[f460]) ).
tcf(c_57,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f728]) ).
tcf(c_59,plain,
sK3 != sK4,
inference(cnf_transformation,[],[f730]) ).
tcf(c_60,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f455]) ).
tcf(c_61,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f453]) ).
tcf(c_62,plain,
rpoint(sK4),
inference(cnf_transformation,[],[f451]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ( X1 = X2 )
| ( X0 = X3 )
| ( X0 = X1 )
| ~ rline(X4)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X3,X4)
| ~ ron(X0,X4)
| ~ rS(X1,X2,X4)
| ( vf(X3,X1) != vf(X3,X2) )
| ( vf(X0,X1) != vf(X0,X2) ) ),
inference(cnf_transformation,[],[f745]) ).
tcf(c_109,plain,
! [X0: $i] :
( ( vf(X0,X0) = vd684 )
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f1569]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ rpoint(X1)
| ~ rpoint(X0)
| ( vf(X0,X1) != vd684 ) ),
inference(cnf_transformation,[],[f948]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ ron(X0,X2)
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[],[f956]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( rS(X1,X0,X2)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rS(X0,X1,X2) ),
inference(cnf_transformation,[],[f959]) ).
tcf(c_716,plain,
! [X0_iProver_vg_3: iProver_vg_3,X0_iProver_ron_2: iProver_ron_2,X1_iProver_vg_3: iProver_vg_3] :
( rS(X1_iProver_vg_3,X0_iProver_vg_3,X0_iProver_ron_2)
| ~ rline(X0_iProver_ron_2)
| ~ rpoint(X1_iProver_vg_3)
| ~ rpoint(X0_iProver_vg_3)
| ~ rS(X0_iProver_vg_3,X1_iProver_vg_3,X0_iProver_ron_2) ),
inference(subtyping,[status(esa)],[c_115]) ).
tcf(c_717,plain,
! [X0_iProver_vg_3: iProver_vg_3,X0_iProver_ron_2: iProver_ron_2,X1_iProver_vg_3: iProver_vg_3] :
( ~ rline(X0_iProver_ron_2)
| ~ rpoint(X1_iProver_vg_3)
| ~ rpoint(X0_iProver_vg_3)
| ~ ron(X0_iProver_vg_3,X0_iProver_ron_2)
| ~ rS(X0_iProver_vg_3,X1_iProver_vg_3,X0_iProver_ron_2) ),
inference(subtyping,[status(esa)],[c_114]) ).
tcf(c_721,plain,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3] :
( ( X0_iProver_vg_3 = X1_iProver_vg_3 )
| ~ rpoint(X1_iProver_vg_3)
| ~ rpoint(X0_iProver_vg_3)
| ( vf(X0_iProver_vg_3,X1_iProver_vg_3) != vd684 ) ),
inference(subtyping,[status(esa)],[c_110]) ).
tcf(c_722,plain,
! [X0_iProver_vg_3: iProver_vg_3] :
( ( vf(X0_iProver_vg_3,X0_iProver_vg_3) = vd684 )
| ~ rpoint(X0_iProver_vg_3) ),
inference(subtyping,[status(esa)],[c_109]) ).
tcf(c_767,plain,
! [X0_iProver_vg_3: iProver_vg_3,X0_iProver_ron_2: iProver_ron_2,X1_iProver_vg_3: iProver_vg_3,X2_iProver_vg_3: iProver_vg_3,X3_iProver_vg_3: iProver_vg_3] :
( ( X1_iProver_vg_3 = X3_iProver_vg_3 )
| ( X1_iProver_vg_3 = X2_iProver_vg_3 )
| ( X0_iProver_vg_3 = X3_iProver_vg_3 )
| ( X0_iProver_vg_3 = X1_iProver_vg_3 )
| ~ rline(X0_iProver_ron_2)
| ~ rpoint(X3_iProver_vg_3)
| ~ rpoint(X2_iProver_vg_3)
| ~ rpoint(X1_iProver_vg_3)
| ~ rpoint(X0_iProver_vg_3)
| ~ ron(X3_iProver_vg_3,X0_iProver_ron_2)
| ~ ron(X0_iProver_vg_3,X0_iProver_ron_2)
| ~ rS(X1_iProver_vg_3,X2_iProver_vg_3,X0_iProver_ron_2)
| ( vf(X3_iProver_vg_3,X1_iProver_vg_3) != vf(X3_iProver_vg_3,X2_iProver_vg_3) )
| ( vf(X0_iProver_vg_3,X1_iProver_vg_3) != vf(X0_iProver_vg_3,X2_iProver_vg_3) ) ),
inference(subtyping,[status(esa)],[c_63]) ).
tcf(c_771,plain,
sK3 != sK4,
inference(subtyping,[status(esa)],[c_59]) ).
tcf(c_773,plain,
sK2 != sK3,
inference(subtyping,[status(esa)],[c_57]) ).
tcf(c_779,negated_conjecture,
vf(sK4,sK1) = vf(sK4,sK2),
inference(subtyping,[status(esa)],[c_51]) ).
tcf(c_780,negated_conjecture,
vf(sK3,sK1) = vf(sK3,sK2),
inference(subtyping,[status(esa)],[c_50]) ).
tcf(c_781,negated_conjecture,
sK1 != sK2,
inference(subtyping,[status(esa)],[c_49]) ).
tcf(c_783,plain,
! [X0_iProver_vg_3: iProver_vg_3] : X0_iProver_vg_3 = X0_iProver_vg_3,
theory(equality) ).
tcf(c_784,plain,
! [X0_iProver_vg_0: iProver_vg_0] : X0_iProver_vg_0 = X0_iProver_vg_0,
theory(equality) ).
tcf(c_785,plain,
! [X0_iProver_ron_2: iProver_ron_2] : X0_iProver_ron_2 = X0_iProver_ron_2,
theory(equality) ).
tcf(c_786,plain,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3,X2_iProver_vg_3: iProver_vg_3] :
( ( X2_iProver_vg_3 = X0_iProver_vg_3 )
| ( X2_iProver_vg_3 != X1_iProver_vg_3 )
| ( X0_iProver_vg_3 != X1_iProver_vg_3 ) ),
theory(equality) ).
tcf(c_787,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_789,plain,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3,X2_iProver_vg_3: iProver_vg_3,X3_iProver_vg_3: iProver_vg_3] :
( ( vf(X0_iProver_vg_3,X2_iProver_vg_3) = vf(X1_iProver_vg_3,X3_iProver_vg_3) )
| ( X2_iProver_vg_3 != X3_iProver_vg_3 )
| ( X0_iProver_vg_3 != X1_iProver_vg_3 ) ),
theory(equality) ).
tcf(c_792,plain,
! [X0_iProver_vg_3: iProver_vg_3,X0_iProver_ron_2: iProver_ron_2,X1_iProver_vg_3: iProver_vg_3,X1_iProver_ron_2: iProver_ron_2] :
( ron(X0_iProver_vg_3,X0_iProver_ron_2)
| ~ ron(X1_iProver_vg_3,X1_iProver_ron_2)
| ( X0_iProver_ron_2 != X1_iProver_ron_2 )
| ( X0_iProver_vg_3 != X1_iProver_vg_3 ) ),
theory(equality) ).
tcf(c_809,plain,
sK2 = sK2,
inference(instantiation,[status(thm)],[c_783]) ).
tcf(c_811,plain,
vd1392 = vd1392,
inference(instantiation,[status(thm)],[c_785]) ).
tcf(c_992,plain,
! [X0_iProver_vg_3: iProver_vg_3] :
( ( sK2 = sK3 )
| ( sK3 != X0_iProver_vg_3 )
| ( sK2 != X0_iProver_vg_3 ) ),
inference(instantiation,[status(thm)],[c_786]) ).
tcf(c_993,plain,
( ( sK2 = sK3 )
| ( sK3 != sK2 )
| ( sK2 != sK2 ) ),
inference(instantiation,[status(thm)],[c_992]) ).
tcf(c_1074,plain,
! [X0_iProver_vg_3: iProver_vg_3,X0_iProver_ron_2: iProver_ron_2] :
( ron(X0_iProver_vg_3,X0_iProver_ron_2)
| ~ ron(sK4,vd1392)
| ( X0_iProver_ron_2 != vd1392 )
| ( X0_iProver_vg_3 != sK4 ) ),
inference(instantiation,[status(thm)],[c_792]) ).
tcf(c_1759,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_787,c_784]) ).
tcf(c_1807,plain,
! [X0_iProver_vg_3: iProver_vg_3] :
( ( vd684 = vf(X0_iProver_vg_3,X0_iProver_vg_3) )
| ~ rpoint(X0_iProver_vg_3) ),
inference(resolution,[status(thm)],[c_1759,c_722]) ).
tcf(c_1810,plain,
vf(sK3,sK2) = vf(sK3,sK1),
inference(resolution,[status(thm)],[c_1759,c_780]) ).
tcf(c_1839,plain,
! [X0_iProver_vg_0: iProver_vg_0] :
( ( vf(sK3,sK2) = X0_iProver_vg_0 )
| ( X0_iProver_vg_0 != vf(sK3,sK1) ) ),
inference(resolution,[status(thm)],[c_1810,c_787]) ).
tcf(c_2247,plain,
! [X0_iProver_vg_3: iProver_vg_3,X1_iProver_vg_3: iProver_vg_3] :
( ( vf(sK3,sK2) = vf(X0_iProver_vg_3,X1_iProver_vg_3) )
| ( X1_iProver_vg_3 != sK1 )
| ( X0_iProver_vg_3 != sK3 ) ),
inference(resolution,[status(thm)],[c_789,c_1839]) ).
tcf(c_3004,plain,
! [X0_iProver_vg_3: iProver_vg_3,X0_iProver_vg_0: iProver_vg_0,X1_iProver_vg_3: iProver_vg_3] :
( ( vf(sK3,sK2) = X0_iProver_vg_0 )
| ( X1_iProver_vg_3 != sK1 )
| ( X0_iProver_vg_0 != vf(X0_iProver_vg_3,X1_iProver_vg_3) )
| ( X0_iProver_vg_3 != sK3 ) ),
inference(resolution,[status(thm)],[c_2247,c_787]) ).
tcf(c_4444,plain,
! [X0_iProver_vg_3: iProver_vg_3] :
( ( sK3 = X0_iProver_vg_3 )
| ~ rpoint(sK3)
| ~ rpoint(X0_iProver_vg_3)
| ( vf(sK3,X0_iProver_vg_3) != vd684 ) ),
inference(instantiation,[status(thm)],[c_721]) ).
tcf(c_4447,plain,
( ( sK3 = sK2 )
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ( vf(sK3,sK2) != vd684 ) ),
inference(instantiation,[status(thm)],[c_4444]) ).
tcf(c_4909,plain,
! [X0_iProver_vg_3: iProver_vg_3] :
( ( vf(sK3,sK2) = vd684 )
| ~ rpoint(X0_iProver_vg_3)
| ( X0_iProver_vg_3 != sK3 )
| ( X0_iProver_vg_3 != sK1 ) ),
inference(resolution,[status(thm)],[c_3004,c_1807]) ).
tcf(c_5716,plain,
! [X0_iProver_ron_2: iProver_ron_2] :
( ron(sK1,X0_iProver_ron_2)
| ~ ron(sK4,vd1392)
| ( sK1 != sK4 )
| ( X0_iProver_ron_2 != vd1392 ) ),
inference(instantiation,[status(thm)],[c_1074]) ).
tcf(c_5717,plain,
( ron(sK1,vd1392)
| ~ ron(sK4,vd1392)
| ( vd1392 != vd1392 )
| ( sK1 != sK4 ) ),
inference(instantiation,[status(thm)],[c_5716]) ).
tcf(c_6220,plain,
( rS(sK1,sK2,vd1392)
| ~ rline(vd1392)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rS(sK2,sK1,vd1392) ),
inference(instantiation,[status(thm)],[c_716]) ).
tcf(c_7915,plain,
! [X0_iProver_vg_3: iProver_vg_3] :
( ( X0_iProver_vg_3 != sK1 )
| ( X0_iProver_vg_3 != sK3 )
| ~ rpoint(X0_iProver_vg_3) ),
inference(global_subsumption_just,[status(thm)],[c_4909,c_61,c_60,c_809,c_773,c_993,c_4447,c_4909]) ).
tcf(c_7916,plain,
! [X0_iProver_vg_3: iProver_vg_3] :
( ~ rpoint(X0_iProver_vg_3)
| ( X0_iProver_vg_3 != sK3 )
| ( X0_iProver_vg_3 != sK1 ) ),
inference(renaming,[status(thm)],[c_7915]) ).
tcf(c_7929,plain,
( ~ rpoint(sK3)
| ( sK3 != sK1 ) ),
inference(resolution,[status(thm)],[c_7916,c_783]) ).
tcf(c_12451,plain,
! [X0_iProver_vg_3: iProver_vg_3,X0_iProver_ron_2: iProver_ron_2] :
( ~ rpoint(sK1)
| ~ rline(X0_iProver_ron_2)
| ~ rpoint(X0_iProver_vg_3)
| ~ ron(sK1,X0_iProver_ron_2)
| ~ rS(sK1,X0_iProver_vg_3,X0_iProver_ron_2) ),
inference(instantiation,[status(thm)],[c_717]) ).
tcf(c_12454,plain,
( ~ rline(vd1392)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ ron(sK1,vd1392)
| ~ rS(sK1,sK2,vd1392) ),
inference(instantiation,[status(thm)],[c_12451]) ).
tcf(c_74546,plain,
! [X0_iProver_vg_3: iProver_vg_3,X0_iProver_ron_2: iProver_ron_2] :
( ( sK1 = sK4 )
| ( sK1 = sK2 )
| ( X0_iProver_vg_3 = sK4 )
| ( X0_iProver_vg_3 = sK1 )
| ~ rpoint(sK4)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ rline(X0_iProver_ron_2)
| ~ rpoint(X0_iProver_vg_3)
| ~ ron(sK4,X0_iProver_ron_2)
| ~ ron(X0_iProver_vg_3,X0_iProver_ron_2)
| ~ rS(sK1,sK2,X0_iProver_ron_2)
| ( vf(X0_iProver_vg_3,sK1) != vf(X0_iProver_vg_3,sK2) ) ),
inference(resolution,[status(thm)],[c_767,c_779]) ).
tcf(c_79510,plain,
! [X0_iProver_vg_3: iProver_vg_3,X0_iProver_ron_2: iProver_ron_2] :
( ( X0_iProver_vg_3 = sK4 )
| ( X0_iProver_vg_3 = sK1 )
| ( vf(X0_iProver_vg_3,sK1) != vf(X0_iProver_vg_3,sK2) )
| ~ rS(sK1,sK2,X0_iProver_ron_2)
| ~ ron(X0_iProver_vg_3,X0_iProver_ron_2)
| ~ ron(sK4,X0_iProver_ron_2)
| ~ rpoint(X0_iProver_vg_3)
| ~ rline(X0_iProver_ron_2) ),
inference(global_subsumption_just,[status(thm)],[c_74546,c_53,c_62,c_60,c_56,c_55,c_52,c_811,c_781,c_5717,c_6220,c_12454,c_74546]) ).
tcf(c_79511,plain,
! [X0_iProver_vg_3: iProver_vg_3,X0_iProver_ron_2: iProver_ron_2] :
( ( X0_iProver_vg_3 = sK4 )
| ( X0_iProver_vg_3 = sK1 )
| ~ rline(X0_iProver_ron_2)
| ~ rpoint(X0_iProver_vg_3)
| ~ ron(sK4,X0_iProver_ron_2)
| ~ ron(X0_iProver_vg_3,X0_iProver_ron_2)
| ~ rS(sK1,sK2,X0_iProver_ron_2)
| ( vf(X0_iProver_vg_3,sK1) != vf(X0_iProver_vg_3,sK2) ) ),
inference(renaming,[status(thm)],[c_79510]) ).
tcf(c_79592,plain,
! [X0_iProver_ron_2: iProver_ron_2] :
( ( sK3 = sK4 )
| ( sK3 = sK1 )
| ~ rpoint(sK3)
| ~ rline(X0_iProver_ron_2)
| ~ ron(sK4,X0_iProver_ron_2)
| ~ ron(sK3,X0_iProver_ron_2)
| ~ rS(sK1,sK2,X0_iProver_ron_2) ),
inference(resolution,[status(thm)],[c_79511,c_780]) ).
tcf(c_79593,plain,
( ( sK3 = sK4 )
| ( sK3 = sK1 )
| ~ rline(vd1392)
| ~ rpoint(sK3)
| ~ ron(sK4,vd1392)
| ~ ron(sK3,vd1392)
| ~ rS(sK1,sK2,vd1392) ),
inference(instantiation,[status(thm)],[c_79592]) ).
tcf(c_79594,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_79593,c_7929,c_6220,c_771,c_52,c_54,c_55,c_56,c_60,c_61,c_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GEO340+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Wed Sep 23 11:56:52 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/0.47 Running first-order theorem proving
% 0.16/0.47 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
% 0.16/0.49
% 0.16/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.16/0.49
% 0.16/0.49 % Detected problem language: tptp
% 0.16/0.50 % Proving...
% 108.36/17.64 % SZS status Started for theBenchmark.p
% 108.36/17.64 % SZS status Theorem for theBenchmark.p
% 108.36/17.64
% 108.36/17.64 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 108.36/17.64
% 108.36/17.64 % ------ iProver source info
% 108.36/17.64
% 108.36/17.64 % git: date: 2026-07-19 20:42:38 +0200
% 108.36/17.64 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 108.36/17.64 % git: non_committed_changes: false
% 108.36/17.64
% 108.36/17.64 % ------ Parsing...
% 108.36/17.64 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 108.36/17.64
% 108.36/17.64 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e %
% 108.36/17.64
% 108.36/17.64 % ------ Preprocessing...%
% 108.36/17.64
% 108.36/17.64 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 108.36/17.64 % ------ Proving...
% 108.36/17.64 % ------ Problem Properties
% 108.36/17.64
% 108.36/17.64 %
% 108.36/17.64 % clauses 266
% 108.36/17.64 % conjectures 5
% 108.36/17.64 % EPR 55
% 108.36/17.64 % Horn 167
% 108.36/17.64 % unary 16
% 108.36/17.64 % binary 32
% 108.36/17.64 % lits 1818
% 108.36/17.64 % lits eq 338
% 108.36/17.64 % fd_pure 0
% 108.36/17.64 % fd_pseudo 0
% 108.36/17.64 % fd_cond 0
% 108.36/17.64 % fd_pseudo_cond 74
% 108.36/17.64 % AC symbols 0
% 108.36/17.64
% 108.36/17.64 % ------ Input Options Time Limit: Unbounded
% 108.36/17.64
% 108.36/17.64
% 108.36/17.64 % ------
% 108.36/17.64 % Current options:
% 108.36/17.64 % ------
% 108.36/17.64
% 108.36/17.64
% 108.36/17.64 %
% 108.36/17.64
% 108.36/17.64 % ------ Proving...
% 108.36/17.64 %
% 108.36/17.64
% 108.36/17.64 % SZS status Theorem for theBenchmark.p
% 108.36/17.64
% 108.36/17.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 108.36/17.65
% 108.36/17.65
%------------------------------------------------------------------------------