%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO306+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 : n008.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 01:20:56 PM UTC 2026
% Result : Theorem 54.59s 9.38s
% Output : CNFRefutation 54.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 125
% Syntax : Number of formulae : 232 ( 49 unt; 0 def)
% Number of atoms : 1861 ( 759 equ)
% Maximal formula atoms : 57 ( 8 avg)
% Number of connectives : 2183 ( 554 ~; 456 |;1053 &)
% ( 10 <=>; 110 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 11 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 2 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 16 con; 0-8 aty)
% Number of variables : 1081 ( 0 sgn 796 !; 285 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0] :
( rpoint(X0)
& rR(X0,vd1287,vd1302)
& vf(vd1287,vd1299) = vf(vd1287,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(352)') ).
fof(f2,negated_conjecture,
~ ? [X0] :
( rpoint(X0)
& rR(X0,vd1287,vd1302)
& vf(vd1287,vd1299) = vf(vd1287,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(351, 1305, 0)') ).
fof(f4,axiom,
ron(vd1302,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof(f5,axiom,
ron(vd1299,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(conjunct1(349), 0)') ).
fof(f6,axiom,
( rR(vd1288,vd1287,vd1299)
& rpoint(vd1303)
& rR(vd1289,vd1287,vd1302)
& vd1302 = vd1303 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof(f7,axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(f8,axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(347)), 0)') ).
fof(f9,axiom,
rline(vd1297),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(347, 0)') ).
fof(f10,axiom,
( ? [X2] :
( rpoint(X2)
& vd1287 = X2 )
& ? [X1] :
( rpoint(X1)
& vd1288 = X1 )
& ? [X0] :
( rpoint(X0)
& vd1289 = X0 )
& vd1287 != vd1288
& vd1287 != vd1289
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof(f11,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(f12,axiom,
vd1299 = vd1300,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 4)') ).
fof(f13,axiom,
rpoint(vd1300),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(348, 1)') ).
fof(f14,axiom,
ron(vd1288,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(346)), 0)') ).
fof(f15,axiom,
ron(vd1287,vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(346)), 0)') ).
fof(f16,axiom,
rline(vd1295),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(346, 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)) )
=> 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(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)) )
=> 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(f19,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(f20,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(f21,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(f22,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(f23,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(f24,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(f25,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(f26,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(f27,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(f28,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(f29,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(f30,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(f31,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(f32,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(f33,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(f34,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(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 )
=> vf(X0,X1) = vf(X4,vskolem1078(X4,X5,X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(219), 0), 0)') ).
fof(f36,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(f37,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(f38,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(f39,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(f40,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(f41,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f42,axiom,
rreal(vd684),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 1)') ).
fof(f43,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(f44,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(f45,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(f46,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(f47,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(f48,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(f49,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(f50,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(f51,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(f52,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(f53,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(f54,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(f55,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(f56,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(f57,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(f58,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(f59,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(f60,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(f61,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(f62,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(f63,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(f64,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(f65,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(f66,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(f67,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(f68,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(f69,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(f70,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(f71,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(f72,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(f73,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(f74,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(f75,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(f76,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(f77,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(f78,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(f79,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(f80,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(f81,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(f82,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(f83,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(f84,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(f85,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(f86,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(f87,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(f88,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(f89,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(f90,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(f91,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(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,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(f116,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(f117,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(f118,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,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(f120,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,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(f123,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,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(f125,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(f127,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(f133,plain,
! [X0] :
( ~ rpoint(X0)
| ~ rR(X0,vd1287,vd1302)
| vf(vd1287,vd1299) != vf(vd1287,X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f136,plain,
! [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) ),
inference(ennf_transformation,[],[f17]) ).
fof(f137,plain,
! [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) ),
inference(flattening,[],[f136]) ).
fof(f138,plain,
! [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) ),
inference(ennf_transformation,[],[f18]) ).
fof(f139,plain,
! [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) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [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)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f141,plain,
! [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)) ),
inference(flattening,[],[f140]) ).
fof(f158,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f159,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
inference(flattening,[],[f158]) ).
fof(f176,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| vf(X0,X1) = vf(X1,X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f177,plain,
! [X0,X1] :
( ! [X3] :
( ~ rpoint(X3)
| X0 != X3 )
| ! [X2] :
( ~ rpoint(X2)
| X1 != X2 )
| vf(X0,X1) = vf(X1,X0) ),
inference(flattening,[],[f176]) ).
fof(f249,plain,
! [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) ),
inference(ennf_transformation,[],[f76]) ).
fof(f250,plain,
! [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) ),
inference(flattening,[],[f249]) ).
fof(f346,plain,
( rpoint(sK3)
& vd1287 = sK3
& rpoint(sK2)
& vd1288 = sK2
& rpoint(sK1)
& vd1289 = sK1
& vd1287 != vd1288
& vd1287 != vd1289
& vd1288 != vd1289
& vf(vd1287,vd1288) = vf(vd1287,vd1289) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f10]) ).
fof(f358,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,[],[f159]) ).
fof(f422,plain,
! [X0] :
( ~ rpoint(X0)
| ~ rR(X0,vd1287,vd1302)
| vf(vd1287,vd1299) != vf(vd1287,X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f423,plain,
rless(vf(vd1287,vd1299),vf(vd1287,vd1302)),
inference(cnf_transformation,[],[f3]) ).
fof(f426,plain,
rR(vd1288,vd1287,vd1299),
inference(cnf_transformation,[],[f6]) ).
fof(f427,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f6]) ).
fof(f428,plain,
rR(vd1289,vd1287,vd1302),
inference(cnf_transformation,[],[f6]) ).
fof(f429,plain,
vd1302 = vd1303,
inference(cnf_transformation,[],[f6]) ).
fof(f433,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f346]) ).
fof(f434,plain,
vd1287 = sK3,
inference(cnf_transformation,[],[f346]) ).
fof(f435,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f346]) ).
fof(f436,plain,
vd1288 = sK2,
inference(cnf_transformation,[],[f346]) ).
fof(f437,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f346]) ).
fof(f438,plain,
vd1289 = sK1,
inference(cnf_transformation,[],[f346]) ).
fof(f444,plain,
vd1299 = vd1300,
inference(cnf_transformation,[],[f12]) ).
fof(f445,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f13]) ).
fof(f449,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ 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(X4,X6) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X6,X7)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f450,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ 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) ),
inference(cnf_transformation,[],[f139]) ).
fof(f451,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ 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)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f477,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) != v0
| X0 = X1 ),
inference(cnf_transformation,[],[f358]) ).
fof(f488,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) = vf(X1,X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f492,plain,
v0 = vd684,
inference(cnf_transformation,[],[f41]) ).
fof(f549,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X4)
| X3 != X4
| ~ rR(X1,X0,X2)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X2,X3) ),
inference(cnf_transformation,[],[f250]) ).
fof(f693,plain,
! [X0] :
( ~ rpoint(X0)
| ~ rR(X0,sK3,vd1303)
| vf(sK3,vd1300) != vf(sK3,X0) ),
inference(definition_unfolding,[],[f422,f434,f444,f434,f434,f429]) ).
fof(f694,plain,
rless(vf(sK3,vd1300),vf(sK3,vd1303)),
inference(definition_unfolding,[],[f423,f434,f444,f434,f429]) ).
fof(f697,plain,
rR(sK1,sK3,vd1303),
inference(definition_unfolding,[],[f428,f438,f434,f429]) ).
fof(f698,plain,
rR(sK2,sK3,vd1300),
inference(definition_unfolding,[],[f426,f436,f434,f444]) ).
fof(f711,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| X1 != X2
| vf(X0,X1) != vd684
| X0 = X1 ),
inference(definition_unfolding,[],[f477,f492]) ).
fof(f720,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X0 = X2
| X4 = X7
| ~ rless(vf(X4,X7),vf(X0,X2))
| vf(X4,X7) = vf(X0,vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7)) ),
inference(equality_resolution,[],[f449]) ).
fof(f721,plain,
! [X2,X3,X0,X1,X7,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| ~ rpoint(X7)
| X0 = X2
| X5 = X7
| ~ rless(vf(X5,X7),vf(X0,X2))
| vf(X5,X7) = vf(X0,vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7)) ),
inference(equality_resolution,[],[f720]) ).
fof(f722,plain,
! [X3,X0,X1,X7,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X0 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X0,X3))
| vf(X5,X7) = vf(X0,vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7)) ),
inference(equality_resolution,[],[f721]) ).
fof(f723,plain,
! [X3,X1,X7,X5] :
( ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3))
| vf(X5,X7) = vf(X1,vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7)) ),
inference(equality_resolution,[],[f722]) ).
fof(f724,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X0 = X2
| X4 = X7
| ~ rless(vf(X4,X7),vf(X0,X2))
| rR(vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7),X0,X2) ),
inference(equality_resolution,[],[f450]) ).
fof(f725,plain,
! [X2,X3,X0,X1,X7,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| ~ rpoint(X7)
| X0 = X2
| X5 = X7
| ~ rless(vf(X5,X7),vf(X0,X2))
| rR(vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7),X0,X2) ),
inference(equality_resolution,[],[f724]) ).
fof(f726,plain,
! [X3,X0,X1,X7,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X0 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X0,X3))
| rR(vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7),X0,X3) ),
inference(equality_resolution,[],[f725]) ).
fof(f727,plain,
! [X3,X1,X7,X5] :
( ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3))
| rR(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7),X1,X3) ),
inference(equality_resolution,[],[f726]) ).
fof(f728,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| X4 != X5
| ~ rpoint(X7)
| X0 = X2
| X4 = X7
| ~ rless(vf(X4,X7),vf(X0,X2))
| rpoint(vskolem1120(X0,X1,X2,X3,X4,X5,X7,X7)) ),
inference(equality_resolution,[],[f451]) ).
fof(f729,plain,
! [X2,X3,X0,X1,X7,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| X2 != X3
| ~ rpoint(X5)
| ~ rpoint(X7)
| X0 = X2
| X5 = X7
| ~ rless(vf(X5,X7),vf(X0,X2))
| rpoint(vskolem1120(X0,X1,X2,X3,X5,X5,X7,X7)) ),
inference(equality_resolution,[],[f728]) ).
fof(f730,plain,
! [X3,X0,X1,X7,X5] :
( ~ rpoint(X1)
| X0 != X1
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X0 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X0,X3))
| rpoint(vskolem1120(X0,X1,X3,X3,X5,X5,X7,X7)) ),
inference(equality_resolution,[],[f729]) ).
fof(f731,plain,
! [X3,X1,X7,X5] :
( ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X7)
| X1 = X3
| X5 = X7
| ~ rless(vf(X5,X7),vf(X1,X3))
| rpoint(vskolem1120(X1,X1,X3,X3,X5,X5,X7,X7)) ),
inference(equality_resolution,[],[f730]) ).
fof(f851,plain,
! [X2,X3,X0] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| vf(X0,X2) != vd684
| X0 = X2 ),
inference(equality_resolution,[],[f711]) ).
fof(f852,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vd684 != vf(X3,X2)
| X2 = X3 ),
inference(equality_resolution,[],[f851]) ).
fof(f877,plain,
! [X2,X3,X0] :
( ~ rpoint(X3)
| X0 != X3
| ~ rpoint(X2)
| vf(X0,X2) = vf(X2,X0) ),
inference(equality_resolution,[],[f488]) ).
fof(f878,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f877]) ).
fof(f1079,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| X2 != X5
| ~ rpoint(X4)
| ~ rR(X1,X0,X2)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X2,X4) ),
inference(equality_resolution,[],[f549]) ).
fof(f1080,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| X1 != X6
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rR(X1,X0,X5)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X5,X4) ),
inference(equality_resolution,[],[f1079]) ).
fof(f1081,plain,
! [X0,X6,X7,X4,X5] :
( ~ rpoint(X7)
| X0 != X7
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rR(X6,X0,X5)
| ~ rR(X6,X0,X4)
| ~ rR(X6,X5,X4) ),
inference(equality_resolution,[],[f1080]) ).
fof(f1082,plain,
! [X6,X7,X4,X5] :
( ~ rpoint(X7)
| ~ rpoint(X6)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rR(X6,X7,X5)
| ~ rR(X6,X7,X4)
| ~ rR(X6,X5,X4) ),
inference(equality_resolution,[],[f1081]) ).
tcf(c_49,negated_conjecture,
! [X0: $i] :
( ~ rpoint(X0)
| ~ rR(X0,sK3,vd1303)
| ( vf(sK3,X0) != vf(sK3,vd1300) ) ),
inference(cnf_transformation,[],[f693]) ).
tcf(c_50,plain,
rless(vf(sK3,vd1300),vf(sK3,vd1303)),
inference(cnf_transformation,[],[f694]) ).
tcf(c_53,plain,
rR(sK1,sK3,vd1303),
inference(cnf_transformation,[],[f697]) ).
tcf(c_54,plain,
rpoint(vd1303),
inference(cnf_transformation,[],[f427]) ).
tcf(c_55,plain,
rR(sK2,sK3,vd1300),
inference(cnf_transformation,[],[f698]) ).
tcf(c_63,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f437]) ).
tcf(c_64,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f435]) ).
tcf(c_65,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f433]) ).
tcf(c_67,plain,
rpoint(vd1300),
inference(cnf_transformation,[],[f445]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X2 = X3 )
| ( X0 = X1 )
| ( vf(X2,vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1)) = vf(X0,X1) )
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rless(vf(X0,X1),vf(X2,X3)) ),
inference(cnf_transformation,[],[f723]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( rR(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1),X2,X3)
| ( X2 = X3 )
| ( X0 = X1 )
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rless(vf(X0,X1),vf(X2,X3)) ),
inference(cnf_transformation,[],[f727]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( rpoint(vskolem1120(X2,X2,X3,X3,X0,X0,X1,X1))
| ( X2 = X3 )
| ( X0 = X1 )
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rless(vf(X0,X1),vf(X2,X3)) ),
inference(cnf_transformation,[],[f731]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ rpoint(X1)
| ~ rpoint(X0)
| ( vf(X0,X1) != vd684 ) ),
inference(cnf_transformation,[],[f852]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( ( vf(X0,X1) = vf(X1,X0) )
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(cnf_transformation,[],[f878]) ).
tcf(c_170,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rR(X0,X3,X2)
| ~ rR(X0,X3,X1)
| ~ rR(X0,X1,X2) ),
inference(cnf_transformation,[],[f1082]) ).
tcf(c_16493,plain,
! [X0_iProver_ron_1: iProver_ron_1,X1_iProver_ron_1: iProver_ron_1,X2_iProver_ron_1: iProver_ron_1,X3_iProver_ron_1: iProver_ron_1] :
( ~ rpoint(X3_iProver_ron_1)
| ~ rpoint(X2_iProver_ron_1)
| ~ rpoint(X1_iProver_ron_1)
| ~ rpoint(X0_iProver_ron_1)
| ~ rR(X0_iProver_ron_1,X3_iProver_ron_1,X2_iProver_ron_1)
| ~ rR(X0_iProver_ron_1,X3_iProver_ron_1,X1_iProver_ron_1)
| ~ rR(X0_iProver_ron_1,X1_iProver_ron_1,X2_iProver_ron_1) ),
inference(subtyping,[status(esa)],[c_170]) ).
tcf(c_16548,plain,
! [X0_iProver_ron_1: iProver_ron_1,X1_iProver_ron_1: iProver_ron_1] :
( ( vf(X0_iProver_ron_1,X1_iProver_ron_1) = vf(X1_iProver_ron_1,X0_iProver_ron_1) )
| ~ rpoint(X1_iProver_ron_1)
| ~ rpoint(X0_iProver_ron_1) ),
inference(subtyping,[status(esa)],[c_110]) ).
tcf(c_16558,plain,
! [X0_iProver_ron_1: iProver_ron_1,X1_iProver_ron_1: iProver_ron_1] :
( ( X0_iProver_ron_1 = X1_iProver_ron_1 )
| ~ rpoint(X1_iProver_ron_1)
| ~ rpoint(X0_iProver_ron_1)
| ( vf(X0_iProver_ron_1,X1_iProver_ron_1) != vd684 ) ),
inference(subtyping,[status(esa)],[c_100]) ).
tcf(c_16585,plain,
! [X0_iProver_ron_1: iProver_ron_1,X1_iProver_ron_1: iProver_ron_1,X2_iProver_ron_1: iProver_ron_1,X3_iProver_ron_1: iProver_ron_1] :
( rpoint(vskolem1120(X2_iProver_ron_1,X2_iProver_ron_1,X3_iProver_ron_1,X3_iProver_ron_1,X0_iProver_ron_1,X0_iProver_ron_1,X1_iProver_ron_1,X1_iProver_ron_1))
| ( X2_iProver_ron_1 = X3_iProver_ron_1 )
| ( X0_iProver_ron_1 = X1_iProver_ron_1 )
| ~ rpoint(X3_iProver_ron_1)
| ~ rpoint(X2_iProver_ron_1)
| ~ rpoint(X1_iProver_ron_1)
| ~ rpoint(X0_iProver_ron_1)
| ~ rless(vf(X0_iProver_ron_1,X1_iProver_ron_1),vf(X2_iProver_ron_1,X3_iProver_ron_1)) ),
inference(subtyping,[status(esa)],[c_73]) ).
tcf(c_16586,plain,
! [X0_iProver_ron_1: iProver_ron_1,X1_iProver_ron_1: iProver_ron_1,X2_iProver_ron_1: iProver_ron_1,X3_iProver_ron_1: iProver_ron_1] :
( rR(vskolem1120(X2_iProver_ron_1,X2_iProver_ron_1,X3_iProver_ron_1,X3_iProver_ron_1,X0_iProver_ron_1,X0_iProver_ron_1,X1_iProver_ron_1,X1_iProver_ron_1),X2_iProver_ron_1,X3_iProver_ron_1)
| ( X2_iProver_ron_1 = X3_iProver_ron_1 )
| ( X0_iProver_ron_1 = X1_iProver_ron_1 )
| ~ rpoint(X3_iProver_ron_1)
| ~ rpoint(X2_iProver_ron_1)
| ~ rpoint(X1_iProver_ron_1)
| ~ rpoint(X0_iProver_ron_1)
| ~ rless(vf(X0_iProver_ron_1,X1_iProver_ron_1),vf(X2_iProver_ron_1,X3_iProver_ron_1)) ),
inference(subtyping,[status(esa)],[c_72]) ).
tcf(c_16587,plain,
! [X0_iProver_ron_1: iProver_ron_1,X1_iProver_ron_1: iProver_ron_1,X2_iProver_ron_1: iProver_ron_1,X3_iProver_ron_1: iProver_ron_1] :
( ( X2_iProver_ron_1 = X3_iProver_ron_1 )
| ( X0_iProver_ron_1 = X1_iProver_ron_1 )
| ( vf(X2_iProver_ron_1,vskolem1120(X2_iProver_ron_1,X2_iProver_ron_1,X3_iProver_ron_1,X3_iProver_ron_1,X0_iProver_ron_1,X0_iProver_ron_1,X1_iProver_ron_1,X1_iProver_ron_1)) = vf(X0_iProver_ron_1,X1_iProver_ron_1) )
| ~ rpoint(X3_iProver_ron_1)
| ~ rpoint(X2_iProver_ron_1)
| ~ rpoint(X1_iProver_ron_1)
| ~ rpoint(X0_iProver_ron_1)
| ~ rless(vf(X0_iProver_ron_1,X1_iProver_ron_1),vf(X2_iProver_ron_1,X3_iProver_ron_1)) ),
inference(subtyping,[status(esa)],[c_71]) ).
tcf(c_16591,plain,
rpoint(vd1300),
inference(subtyping,[status(esa)],[c_67]) ).
tcf(c_16593,plain,
rpoint(sK3),
inference(subtyping,[status(esa)],[c_65]) ).
tcf(c_16603,plain,
rR(sK2,sK3,vd1300),
inference(subtyping,[status(esa)],[c_55]) ).
tcf(c_16609,negated_conjecture,
! [X0_iProver_ron_1: iProver_ron_1] :
( ~ rpoint(X0_iProver_ron_1)
| ~ rR(X0_iProver_ron_1,sK3,vd1303)
| ( vf(sK3,X0_iProver_ron_1) != vf(sK3,vd1300) ) ),
inference(subtyping,[status(esa)],[c_49]) ).
tcf(c_16628,plain,
! [X0_iProver_ron_1: iProver_ron_1] : X0_iProver_ron_1 = X0_iProver_ron_1,
theory(equality) ).
tcf(c_16635,plain,
! [X0_iProver_ron_1: iProver_ron_1,X1_iProver_ron_1: iProver_ron_1,X2_iProver_ron_1: iProver_ron_1,X3_iProver_ron_1: iProver_ron_1,X4_iProver_ron_1: iProver_ron_1,X5_iProver_ron_1: iProver_ron_1] :
( rR(X0_iProver_ron_1,X2_iProver_ron_1,X4_iProver_ron_1)
| ~ rR(X1_iProver_ron_1,X3_iProver_ron_1,X5_iProver_ron_1)
| ( X4_iProver_ron_1 != X5_iProver_ron_1 )
| ( X2_iProver_ron_1 != X3_iProver_ron_1 )
| ( X0_iProver_ron_1 != X1_iProver_ron_1 ) ),
theory(equality) ).
tcf(c_16652,plain,
sK3 = sK3,
inference(instantiation,[status(thm)],[c_16628]) ).
tcf(c_23808,plain,
! [X0_iProver_ron_1: iProver_ron_1,X1_iProver_ron_1: iProver_ron_1,X2_iProver_ron_1: iProver_ron_1] :
( rR(X0_iProver_ron_1,X1_iProver_ron_1,X2_iProver_ron_1)
| ~ rR(sK1,sK3,vd1303)
| ( X2_iProver_ron_1 != vd1303 )
| ( X1_iProver_ron_1 != sK3 )
| ( X0_iProver_ron_1 != sK1 ) ),
inference(instantiation,[status(thm)],[c_16635]) ).
tcf(c_24165,plain,
! [X0_iProver_ron_1: iProver_ron_1] :
( ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| ~ rpoint(X0_iProver_ron_1)
| ~ rR(sK1,sK3,vd1303)
| ~ rR(sK1,sK3,X0_iProver_ron_1)
| ~ rR(sK1,X0_iProver_ron_1,vd1303) ),
inference(instantiation,[status(thm)],[c_16493]) ).
tcf(c_24166,plain,
( ~ rpoint(sK1)
| ~ rpoint(vd1303)
| ~ rpoint(sK3)
| ~ rR(sK1,sK3,vd1303)
| ~ rR(sK1,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_24165]) ).
tcf(c_24167,plain,
! [X0_iProver_ron_1: iProver_ron_1] :
( ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rpoint(X0_iProver_ron_1)
| ~ rR(sK2,sK3,vd1300)
| ~ rR(sK2,sK3,X0_iProver_ron_1)
| ~ rR(sK2,X0_iProver_ron_1,vd1300) ),
inference(instantiation,[status(thm)],[c_16493]) ).
tcf(c_24168,plain,
( ~ rpoint(sK2)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rR(sK2,sK3,vd1300)
| ~ rR(sK2,sK3,sK3) ),
inference(instantiation,[status(thm)],[c_24167]) ).
tcf(c_24548,plain,
( rpoint(vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300))
| ( sK3 = vd1303 )
| ( sK3 = vd1300 )
| ~ rpoint(vd1303)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rless(vf(sK3,vd1300),vf(sK3,vd1303)) ),
inference(instantiation,[status(thm)],[c_16585]) ).
tcf(c_24553,plain,
( rR(vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300),sK3,vd1303)
| ( sK3 = vd1303 )
| ( sK3 = vd1300 )
| ~ rpoint(vd1303)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rless(vf(sK3,vd1300),vf(sK3,vd1303)) ),
inference(instantiation,[status(thm)],[c_16586]) ).
tcf(c_24554,plain,
( ( sK3 = vd1303 )
| ( sK3 = vd1300 )
| ( vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300)) = vf(sK3,vd1300) )
| ~ rpoint(vd1303)
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ~ rless(vf(sK3,vd1300),vf(sK3,vd1303)) ),
inference(instantiation,[status(thm)],[c_16587]) ).
tcf(c_26279,plain,
( ~ rpoint(vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300))
| ~ rR(vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300),sK3,vd1303)
| ( vf(sK3,vskolem1120(sK3,sK3,vd1303,vd1303,sK3,sK3,vd1300,vd1300)) != vf(sK3,vd1300) ) ),
inference(instantiation,[status(thm)],[c_16609]) ).
tcf(c_29048,plain,
! [X0_iProver_ron_1: iProver_ron_1,X1_iProver_ron_1: iProver_ron_1] :
( rR(sK1,X0_iProver_ron_1,X1_iProver_ron_1)
| ~ rR(sK1,sK3,vd1303)
| ( sK1 != sK1 )
| ( X1_iProver_ron_1 != vd1303 )
| ( X0_iProver_ron_1 != sK3 ) ),
inference(instantiation,[status(thm)],[c_23808]) ).
tcf(c_29049,plain,
sK1 = sK1,
inference(instantiation,[status(thm)],[c_16628]) ).
tcf(c_29050,plain,
( rR(sK1,sK3,sK3)
| ~ rR(sK1,sK3,vd1303)
| ( sK1 != sK1 )
| ( sK3 != vd1303 )
| ( sK3 != sK3 ) ),
inference(instantiation,[status(thm)],[c_29048]) ).
tcf(c_41200,plain,
! [X0_iProver_ron_1: iProver_ron_1] :
( ( vf(X0_iProver_ron_1,sK3) = vf(sK3,X0_iProver_ron_1) )
| ~ rpoint(X0_iProver_ron_1) ),
inference(superposition,[status(thm)],[c_16593,c_16548]) ).
tcf(c_41905,plain,
vf(sK3,vd1300) = vf(vd1300,sK3),
inference(superposition,[status(thm)],[c_16591,c_41200]) ).
tcf(c_41928,plain,
( ( sK3 = vd1300 )
| ~ rpoint(vd1300)
| ~ rpoint(sK3)
| ( vf(sK3,vd1300) != vd684 ) ),
inference(superposition,[status(thm)],[c_41905,c_16558]) ).
tcf(c_41929,plain,
( ( sK3 = vd1300 )
| ( vf(sK3,vd1300) != vd684 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_41928,c_16591,c_16593]) ).
tcf(c_42288,plain,
sK3 = vd1300,
inference(global_subsumption_just,[status(thm)],[c_41929,c_67,c_65,c_63,c_54,c_53,c_50,c_16652,c_24166,c_24548,c_24553,c_24554,c_26279,c_29050,c_29049]) ).
tcf(c_42339,plain,
rR(sK2,sK3,sK3),
inference(demodulation,[status(thm)],[c_16603,c_42288]) ).
tcf(c_42346,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_42339,c_24168,c_55,c_64,c_65,c_67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO306+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Wed Sep 23 11:53:09 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.44 % Detected problem language: tptp
% 0.12/0.45 % Proving...
% 54.59/9.38 % SZS status Started for theBenchmark.p
% 54.59/9.38 % SZS status Theorem for theBenchmark.p
% 54.59/9.38
% 54.59/9.38 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 54.59/9.38
% 54.59/9.38 % ------ iProver source info
% 54.59/9.38
% 54.59/9.38 % git: date: 2026-07-19 20:42:38 +0200
% 54.59/9.38 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 54.59/9.38 % git: non_committed_changes: false
% 54.59/9.38
% 54.59/9.38 % ------ Parsing...
% 54.59/9.38 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 54.59/9.38
% 54.59/9.38 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 54.59/9.38
% 54.59/9.38 % ------ Preprocessing... gs_s sp: 14 0s gs_e snvd_s sp: 0 0s snvd_e %
% 54.59/9.38
% 54.59/9.38 % ------ Preprocessing... sf_s rm: 11 0s sf_e sf_s rm: 0 0s sf_e
% 54.59/9.38 % ------ Proving...
% 54.59/9.38 % ------ Problem Properties
% 54.59/9.38
% 54.59/9.38 %
% 54.59/9.38 % clauses 271
% 54.59/9.38 % conjectures 1
% 54.59/9.38 % EPR 71
% 54.59/9.38 % Horn 178
% 54.59/9.38 % unary 22
% 54.59/9.38 % binary 42
% 54.59/9.38 % lits 1672
% 54.59/9.38 % lits eq 266
% 54.59/9.38 % fd_pure 0
% 54.59/9.38 % fd_pseudo 0
% 54.59/9.38 % fd_cond 0
% 54.59/9.38 % fd_pseudo_cond 62
% 54.59/9.38 % AC symbols 0
% 54.59/9.38
% 54.59/9.38 % ------ Input Options Time Limit: Unbounded
% 54.59/9.38
% 54.59/9.38
% 54.59/9.38 % ------
% 54.59/9.38 % Current options:
% 54.59/9.38 % ------
% 54.59/9.38
% 54.59/9.38
% 54.59/9.38 %
% 54.59/9.38
% 54.59/9.38 % ------ Proving...
% 54.59/9.38 %
% 54.59/9.38
% 54.59/9.38 % SZS status Theorem for theBenchmark.p
% 54.59/9.38
% 54.59/9.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 54.59/9.39
% 54.59/9.39
%------------------------------------------------------------------------------