%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO279+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 : Tue Sep 29 09:52:19 AM UTC 2026
% Result : ContradictoryAxioms 15.67s 3.08s
% Output : Refutation 16.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 41
% Syntax : Number of formulae : 407 ( 57 unt; 13 def)
% Number of atoms : 2606 ( 742 equ)
% Maximal formula atoms : 26 ( 6 avg)
% Number of connectives : 3880 (1681 ~;2002 |; 161 &)
% ( 22 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-3 aty)
% Number of variables : 988 ( 0 sgn 944 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( ( rR(X1,X0,X2)
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f8,axiom,
rpoint(vd1096),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(229, 0)') ).
fof(f12,axiom,
( ron(vd1085,vskolem1099)
& ron(vd1089,vskolem1099)
& rline(vskolem1099) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(replace(and(pred(s2(plural(the(230))), 0), and(pred(s1(plural(the(230))), 0), pred(the(230), 0)))))') ).
fof(f13,axiom,
rR(vd1080,vd1089,vd1096),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(comma_conjunct2(229)), 1097, 0)') ).
fof(f14,axiom,
rpoint(vd1089),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(226, 0)') ).
fof(f15,axiom,
? [X0] :
( vd1080 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).
fof(f18,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f19,axiom,
ron(vd1096,vd1091),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct1(comma_conjunct2(229)), 0)') ).
fof(f24,axiom,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(226, 1090, 1)') ).
fof(f25,axiom,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(226, 1090, 0)') ).
fof(f28,axiom,
! [X0,X1] :
( rcenter(X0,X1)
=> rinside(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(77), 0), imp(cond(axiom(77), 0)))') ).
fof(f30,axiom,
vd1091 = vskolem1092,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(pred(227, 2))') ).
fof(f32,axiom,
( ron(vd1089,vskolem1092)
& ron(vd1080,vskolem1092)
& rline(vskolem1092) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','replace(replace(and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))))') ).
fof(f33,axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(225, 4)') ).
fof(f35,axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(225), 1087, 0)') ).
fof(f36,axiom,
rpoint(vd1086),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(225, 1)') ).
fof(f40,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f41,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( ron(X1,X3)
& ron(X1,X2)
& ron(X0,X3)
& ron(X0,X2)
& ? [X4] :
( X3 = X4
& rline(X4) )
& ? [X5] :
( X2 = X5
& rline(X5) )
& X0 != X1
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f46,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f56,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f66,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X1 != X2
& ron(X2,X5)
& ron(X1,X5)
& rinside(X0,X5)
& ron(X2,X3)
& ron(X1,X3)
& ron(X0,X3)
& X5 = X6
& rcircle(X6)
& X3 = X4
& rline(X4)
& ? [X7] :
( X2 = X7
& rpoint(X7) )
& ? [X8] :
( X1 = X8
& rpoint(X8) )
& ? [X9] :
( X0 = X9
& rpoint(X9) ) )
=> rR(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(119), 0), imp(cond(axiom(119), 0)))') ).
fof(f79,axiom,
! [X0,X1,X2,X3] :
( ( rR(X1,X0,X3)
& rR(X1,X0,X2)
& ? [X4] :
( X3 = X4
& rpoint(X4) )
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ~ rR(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(93), 0), imp(cond(axiom(93), 0)))') ).
fof(f83,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X2,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f84,axiom,
! [X0,X1,X2,X3,X4] :
( ( X3 = X4
& ron(X1,X3)
& ron(X0,X3)
& rR(X1,X0,X2)
& rline(X4)
& ? [X5] :
( X2 = X5
& rpoint(X5) )
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> ron(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f121,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( ron(X4,X3)
& X4 = X5
& rpoint(X5)
& rcenter(X2,X3)
& X0 = X1
& rpoint(X1) )
=> ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(184), 0), imp(cond(axiom(184), 0)))') ).
fof(f127,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ rR(X0,X2,X4)
& ~ rR(X0,X1,X3)
& X4 != X0
& X3 != X0
& X2 != X0
& X1 != X0
& ron(X4,X6)
& ron(X2,X6)
& ron(X3,X5)
& ron(X1,X5)
& ron(X0,X5)
& ? [X7] :
( X6 = X7
& rline(X7) )
& ? [X8] :
( X5 = X8
& rline(X8) )
& ? [X9] :
( X4 = X9
& rpoint(X9) )
& ? [X10] :
( X3 = X10
& rpoint(X10) )
& ? [X11] :
( X2 = X11
& rpoint(X11) )
& ? [X12] :
( X1 = X12
& rpoint(X12) )
& ? [X13] :
( X0 = X13
& rpoint(X13) ) )
=> vangle(X1,X0,X2) = vangle(X3,X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f130,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ron(X2,X6)
& ron(X0,X6)
& X0 != X4
& X0 != X2
& X6 = X7
& rline(X7)
& X4 = X5
& rpoint(X5)
& X2 = X3
& rpoint(X3)
& X0 = X1
& rpoint(X1) )
=> ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f141,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ( ~ rR(X0,X1,X2)
& X0 != X2
& X0 != X1
& rR(X1,X2,X0) )
| ~ rR(X1,X0,X2)
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f141]) ).
fof(f153,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f154,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f153]) ).
fof(f157,plain,
! [X0,X1] :
( rinside(X0,X1)
| ~ rcenter(X0,X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f168,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f169,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f168]) ).
fof(f170,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f171,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f170]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f174]) ).
fof(f180,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f181,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& ron(X0,X4)
& rline(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f180]) ).
fof(f216,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X0,X5)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| X5 != X6
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| ! [X7] :
( X2 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X1 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X0 != X9
| ~ rpoint(X9) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f217,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X0,X5)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| X5 != X6
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| ! [X7] :
( X2 != X7
| ~ rpoint(X7) )
| ! [X8] :
( X1 != X8
| ~ rpoint(X8) )
| ! [X9] :
( X0 != X9
| ~ rpoint(X9) ) ),
inference(flattening,[],[f216]) ).
fof(f242,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f79]) ).
fof(f243,plain,
! [X0,X1,X2,X3] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| ! [X4] :
( X3 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f242]) ).
fof(f250,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f251,plain,
! [X0,X1,X2,X3,X4] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f250]) ).
fof(f252,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f84]) ).
fof(f253,plain,
! [X0,X1,X2,X3,X4] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| ! [X5] :
( X2 != X5
| ~ rpoint(X5) )
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f252]) ).
fof(f319,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f121]) ).
fof(f320,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( vf(X2,X0) = vf(X2,X4)
<=> ron(X0,X3) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f319]) ).
fof(f329,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(ennf_transformation,[],[f127]) ).
fof(f330,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ! [X7] :
( X6 != X7
| ~ rline(X7) )
| ! [X8] :
( X5 != X8
| ~ rline(X8) )
| ! [X9] :
( X4 != X9
| ~ rpoint(X9) )
| ! [X10] :
( X3 != X10
| ~ rpoint(X10) )
| ! [X11] :
( X2 != X11
| ~ rpoint(X11) )
| ! [X12] :
( X1 != X12
| ~ rpoint(X12) )
| ! [X13] :
( X0 != X13
| ~ rpoint(X13) ) ),
inference(flattening,[],[f329]) ).
fof(f335,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(ennf_transformation,[],[f130]) ).
fof(f336,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
<=> vangle(X2,X0,X4) = v0 )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f335]) ).
fof(f344,plain,
( vd1080 = sK2
& rpoint(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f15]) ).
fof(f346,plain,
! [X0,X1] :
( ? [X2] :
( ron(X1,X2)
& rcenter(X0,X2)
& rcircle(X2) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f154]) ).
fof(f347,plain,
! [X0,X1] :
( ( ron(X1,sK4(X0,X1))
& rcenter(X0,sK4(X0,X1))
& rcircle(sK4(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f346]) ).
fof(f350,plain,
! [X0,X1] :
( ( ( vf(X0,X1) = v0
| X0 != X1 )
& ( X0 = X1
| vf(X0,X1) != v0 ) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(nnf_transformation,[],[f171]) ).
fof(f352,plain,
! [X0,X1] :
( ? [X2] :
( ron(X1,X2)
& ron(X0,X2)
& rline(X2) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f181]) ).
fof(f353,plain,
! [X0,X1] :
( ( ron(X1,sK9(X0,X1))
& ron(X0,sK9(X0,X1))
& rline(sK9(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f352]) ).
fof(f405,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( vf(X2,X0) = vf(X2,X4)
| ~ ron(X0,X3) )
& ( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4) ) )
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f320]) ).
fof(f412,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| v0 != vangle(X2,X0,X4) )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f336]) ).
fof(f413,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| v0 != vangle(X2,X0,X4) )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f412]) ).
fof(f421,plain,
! [X2,X3,X0,X1,X4,X5] :
( rR(X1,X2,X0)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f142]) ).
fof(f423,plain,
! [X2,X3,X0,X1,X4,X5] :
( X0 != X2
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f142]) ).
fof(f424,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X2)
| ~ rR(X1,X0,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f142]) ).
fof(f429,plain,
rpoint(vd1096),
inference(cnf_transformation,[],[f8]) ).
fof(f433,plain,
rline(vskolem1099),
inference(cnf_transformation,[],[f12]) ).
fof(f434,plain,
ron(vd1089,vskolem1099),
inference(cnf_transformation,[],[f12]) ).
fof(f435,plain,
ron(vd1085,vskolem1099),
inference(cnf_transformation,[],[f12]) ).
fof(f436,plain,
rR(vd1080,vd1089,vd1096),
inference(cnf_transformation,[],[f13]) ).
fof(f437,plain,
rpoint(vd1089),
inference(cnf_transformation,[],[f14]) ).
fof(f438,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f344]) ).
fof(f439,plain,
vd1080 = sK2,
inference(cnf_transformation,[],[f344]) ).
fof(f445,plain,
! [X3,X0,X1,X4] :
( rcircle(sK4(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f347]) ).
fof(f446,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK4(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f347]) ).
fof(f447,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK4(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f347]) ).
fof(f448,plain,
ron(vd1096,vd1091),
inference(cnf_transformation,[],[f19]) ).
fof(f455,plain,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
inference(cnf_transformation,[],[f24]) ).
fof(f456,plain,
vf(vd1089,vd1080) = vf(vd1089,vd1085),
inference(cnf_transformation,[],[f25]) ).
fof(f460,plain,
! [X0,X1] :
( ~ rcenter(X0,X1)
| rinside(X0,X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f468,plain,
vd1091 = vskolem1092,
inference(cnf_transformation,[],[f30]) ).
fof(f470,plain,
rline(vskolem1092),
inference(cnf_transformation,[],[f32]) ).
fof(f471,plain,
ron(vd1080,vskolem1092),
inference(cnf_transformation,[],[f32]) ).
fof(f472,plain,
ron(vd1089,vskolem1092),
inference(cnf_transformation,[],[f32]) ).
fof(f473,plain,
vd1085 = vd1086,
inference(cnf_transformation,[],[f33]) ).
fof(f475,plain,
vd1085 != vd1080,
inference(cnf_transformation,[],[f35]) ).
fof(f476,plain,
rpoint(vd1086),
inference(cnf_transformation,[],[f36]) ).
fof(f480,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f169]) ).
fof(f481,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f350]) ).
fof(f482,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f350]) ).
fof(f484,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f175]) ).
fof(f489,plain,
! [X3,X0,X1,X4] :
( rline(sK9(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f353]) ).
fof(f490,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK9(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f353]) ).
fof(f491,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK9(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f353]) ).
fof(f502,plain,
v0 = vd684,
inference(cnf_transformation,[],[f56]) ).
fof(f522,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X5)
| ~ ron(X1,X5)
| ~ rinside(X0,X5)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| X5 != X6
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(cnf_transformation,[],[f217]) ).
fof(f535,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X3)
| ~ rR(X1,X0,X3)
| ~ rR(X1,X0,X2)
| X3 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f243]) ).
fof(f539,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X1,X3)
| X3 != X4
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f251]) ).
fof(f540,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X2,X3)
| X3 != X4
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f253]) ).
fof(f659,plain,
! [X2,X3,X0,X1,X4,X5] :
( ron(X0,X3)
| vf(X2,X0) != vf(X2,X4)
| ~ ron(X4,X3)
| X4 != X5
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f405]) ).
fof(f668,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| X6 != X7
| ~ rline(X7)
| X5 != X8
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(cnf_transformation,[],[f330]) ).
fof(f674,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( v0 = vangle(X2,X0,X4)
| rR(X0,X2,X4)
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f413]) ).
fof(f675,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| v0 != vangle(X2,X0,X4)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f413]) ).
fof(f682,plain,
ron(vd1086,vskolem1099),
inference(definition_unfolding,[],[f435,f473]) ).
fof(f683,plain,
rR(sK2,vd1089,vd1096),
inference(definition_unfolding,[],[f436,f439]) ).
fof(f684,plain,
ron(vd1096,vskolem1092),
inference(definition_unfolding,[],[f448,f468]) ).
fof(f689,plain,
vf(vd1089,sK2) = vf(vd1086,sK2),
inference(definition_unfolding,[],[f455,f439,f473,f439]) ).
fof(f690,plain,
vf(vd1089,sK2) = vf(vd1089,vd1086),
inference(definition_unfolding,[],[f456,f439,f473]) ).
fof(f693,plain,
ron(sK2,vskolem1092),
inference(definition_unfolding,[],[f471,f439]) ).
fof(f695,plain,
vd1086 != sK2,
inference(definition_unfolding,[],[f475,f473,f439]) ).
fof(f696,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f482,f502]) ).
fof(f697,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f481,f502]) ).
fof(f703,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vd684 != vangle(X2,X0,X4)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(definition_unfolding,[],[f675,f502]) ).
fof(f704,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vd684 = vangle(X2,X0,X4)
| rR(X0,X2,X4)
| ~ ron(X4,X6)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(definition_unfolding,[],[f674,f502]) ).
fof(f705,plain,
! [X3,X0,X1,X4,X5] :
( ~ rR(X0,X1,X3)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f424]) ).
fof(f706,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f705]) ).
fof(f707,plain,
! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f706]) ).
fof(f708,plain,
! [X2,X3,X1,X4,X5] :
( ~ rR(X1,X2,X2)
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f423]) ).
fof(f709,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f708]) ).
fof(f710,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f709]) ).
fof(f711,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f710]) ).
fof(f716,plain,
! [X3,X0,X1,X4,X5] :
( rR(X1,X3,X0)
| ~ rR(X1,X0,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f421]) ).
fof(f717,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f716]) ).
fof(f718,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f717]) ).
fof(f755,plain,
! [X3,X0,X4] :
( ron(X3,sK4(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f447]) ).
fof(f756,plain,
! [X3,X4] :
( ron(X3,sK4(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f755]) ).
fof(f757,plain,
! [X3,X0,X4] :
( rcenter(X0,sK4(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f446]) ).
fof(f758,plain,
! [X3,X4] :
( rcenter(X4,sK4(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f757]) ).
fof(f759,plain,
! [X3,X0,X4] :
( rcircle(sK4(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f445]) ).
fof(f760,plain,
! [X3,X4] :
( rcircle(sK4(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f759]) ).
fof(f781,plain,
! [X2,X3,X0] :
( vf(X2,X0) = vf(X0,X2)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f480]) ).
fof(f782,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X2,X3) = vf(X3,X2) ),
inference(equality_resolution,[],[f781]) ).
fof(f783,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f696]) ).
fof(f784,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f783]) ).
fof(f785,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f784]) ).
fof(f786,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f697]) ).
fof(f787,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f786]) ).
fof(f791,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( X2 = X4
| ~ ron(X1,X4)
| ~ ron(X1,X2)
| ~ ron(X0,X4)
| ~ ron(X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f484]) ).
fof(f792,plain,
! [X0,X1,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X1,X4)
| ~ ron(X1,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f791]) ).
fof(f793,plain,
! [X0,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f792]) ).
fof(f794,plain,
! [X6,X7,X4,X5] :
( ~ ron(X7,X5)
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| X4 = X5
| ~ rline(X4)
| ~ rline(X5)
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f793]) ).
fof(f802,plain,
! [X3,X0,X4] :
( ron(X3,sK9(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f491]) ).
fof(f803,plain,
! [X3,X4] :
( ron(X3,sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f802]) ).
fof(f804,plain,
! [X3,X0,X4] :
( ron(X0,sK9(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f490]) ).
fof(f805,plain,
! [X3,X4] :
( ron(X4,sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f804]) ).
fof(f806,plain,
! [X3,X0,X4] :
( rline(sK9(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f489]) ).
fof(f807,plain,
! [X3,X4] :
( rline(sK9(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f806]) ).
fof(f903,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X6)
| ~ ron(X1,X6)
| ~ rinside(X0,X6)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rcircle(X6)
| X3 != X4
| ~ rline(X4)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f522]) ).
fof(f904,plain,
! [X2,X0,X1,X8,X6,X9,X7,X4] :
( rR(X0,X1,X2)
| X1 = X2
| ~ ron(X2,X6)
| ~ ron(X1,X6)
| ~ rinside(X0,X6)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rcircle(X6)
| ~ rline(X4)
| X2 != X7
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f903]) ).
fof(f905,plain,
! [X0,X1,X8,X6,X9,X7,X4] :
( rR(X0,X1,X7)
| X1 = X7
| ~ ron(X7,X6)
| ~ ron(X1,X6)
| ~ rinside(X0,X6)
| ~ ron(X7,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| X1 != X8
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f904]) ).
fof(f906,plain,
! [X0,X8,X6,X9,X7,X4] :
( rR(X0,X8,X7)
| X7 = X8
| ~ ron(X7,X6)
| ~ ron(X8,X6)
| ~ rinside(X0,X6)
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X0,X4)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| X0 != X9
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f905]) ).
fof(f907,plain,
! [X8,X6,X9,X7,X4] :
( ~ rinside(X9,X6)
| X7 = X8
| ~ ron(X7,X6)
| ~ ron(X8,X6)
| rR(X9,X8,X7)
| ~ ron(X7,X4)
| ~ ron(X8,X4)
| ~ ron(X9,X4)
| ~ rcircle(X6)
| ~ rline(X4)
| ~ rpoint(X7)
| ~ rpoint(X8)
| ~ rpoint(X9) ),
inference(equality_resolution,[],[f906]) ).
fof(f962,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X2,X4)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X0,X2)
| ~ rpoint(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f535]) ).
fof(f963,plain,
! [X0,X1,X6,X7,X4,X5] :
( ~ rR(X1,X5,X4)
| ~ rR(X1,X0,X4)
| ~ rR(X1,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f962]) ).
fof(f964,plain,
! [X0,X6,X7,X4,X5] :
( ~ rR(X6,X5,X4)
| ~ rR(X6,X0,X4)
| ~ rR(X6,X0,X5)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f963]) ).
fof(f965,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ rR(X6,X7,X4)
| ~ rR(X6,X5,X4)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f964]) ).
fof(f978,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X2,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f539]) ).
fof(f979,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X1,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f978]) ).
fof(f980,plain,
! [X0,X6,X7,X4,X5] :
( ron(X6,X4)
| ~ ron(X5,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f979]) ).
fof(f981,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X5,X4)
| ~ ron(X7,X4)
| ron(X6,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f980]) ).
fof(f982,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f540]) ).
fof(f983,plain,
! [X0,X1,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ rR(X1,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f982]) ).
fof(f984,plain,
! [X0,X6,X7,X4,X5] :
( ron(X5,X4)
| ~ ron(X6,X4)
| ~ ron(X0,X4)
| ~ rR(X6,X0,X5)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f983]) ).
fof(f985,plain,
! [X6,X7,X4,X5] :
( ~ rR(X6,X7,X5)
| ~ ron(X6,X4)
| ~ ron(X7,X4)
| ron(X5,X4)
| ~ rline(X4)
| ~ rpoint(X5)
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f984]) ).
fof(f1297,plain,
! [X2,X3,X0,X1,X5] :
( ron(X0,X3)
| vf(X2,X0) != vf(X2,X5)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f659]) ).
fof(f1298,plain,
! [X2,X3,X1,X5] :
( vf(X2,X1) != vf(X2,X5)
| ron(X1,X3)
| ~ ron(X5,X3)
| ~ rpoint(X5)
| ~ rcenter(X2,X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1297]) ).
fof(f1331,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X5,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X5)
| ~ ron(X1,X5)
| ~ ron(X0,X5)
| ~ rline(X7)
| X5 != X8
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f668]) ).
fof(f1332,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X4,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X4)
| rR(X0,X2,X4)
| rR(X0,X1,X3)
| X0 = X4
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| X4 != X9
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1331]) ).
fof(f1333,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X1,X0,X2) = vangle(X3,X0,X9)
| rR(X0,X2,X9)
| rR(X0,X1,X3)
| X0 = X9
| X0 = X3
| X0 = X2
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X2,X7)
| ~ ron(X3,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| X3 != X10
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1332]) ).
fof(f1334,plain,
! [X2,X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X1,X0,X2) = vangle(X10,X0,X9)
| rR(X0,X2,X9)
| rR(X0,X1,X10)
| X0 = X9
| X0 = X10
| X0 = X2
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X2,X7)
| ~ ron(X10,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| X2 != X11
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1333]) ).
fof(f1335,plain,
! [X10,X0,X11,X1,X8,X9,X7,X12,X13] :
( vangle(X10,X0,X9) = vangle(X1,X0,X11)
| rR(X0,X11,X9)
| rR(X0,X1,X10)
| X0 = X9
| X0 = X10
| X0 = X11
| X0 = X1
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X1,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| X1 != X12
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1334]) ).
fof(f1336,plain,
! [X10,X0,X11,X8,X9,X7,X12,X13] :
( vangle(X10,X0,X9) = vangle(X12,X0,X11)
| rR(X0,X11,X9)
| rR(X0,X12,X10)
| X0 = X9
| X0 = X10
| X0 = X11
| X0 = X12
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| ~ ron(X0,X8)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| X0 != X13
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1335]) ).
fof(f1337,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ ron(X13,X8)
| rR(X13,X11,X9)
| rR(X13,X12,X10)
| X9 = X13
| X10 = X13
| X11 = X13
| X12 = X13
| ~ ron(X9,X7)
| ~ ron(X11,X7)
| ~ ron(X10,X8)
| ~ ron(X12,X8)
| vangle(X10,X13,X9) = vangle(X12,X13,X11)
| ~ rline(X7)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1336]) ).
fof(f1370,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ron(X4,X7)
| vd684 != vangle(X2,X0,X4)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X4
| X0 = X2
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f703]) ).
fof(f1371,plain,
! [X2,X3,X0,X1,X7,X5] :
( ron(X5,X7)
| vd684 != vangle(X2,X0,X5)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X2
| ~ rline(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1370]) ).
fof(f1372,plain,
! [X3,X0,X1,X7,X5] :
( ron(X5,X7)
| vd684 != vangle(X3,X0,X5)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1371]) ).
fof(f1373,plain,
! [X3,X1,X7,X5] :
( vd684 != vangle(X3,X1,X5)
| ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1372]) ).
fof(f1374,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( vd684 = vangle(X2,X0,X4)
| rR(X0,X2,X4)
| ~ ron(X4,X7)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X4
| X0 = X2
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f704]) ).
fof(f1375,plain,
! [X2,X3,X0,X1,X7,X5] :
( vd684 = vangle(X2,X0,X5)
| rR(X0,X2,X5)
| ~ ron(X5,X7)
| ~ ron(X2,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X2
| ~ rline(X7)
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1374]) ).
fof(f1376,plain,
! [X3,X0,X1,X7,X5] :
( vd684 = vangle(X3,X0,X5)
| rR(X0,X3,X5)
| ~ ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X0,X7)
| X0 = X5
| X0 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1375]) ).
fof(f1377,plain,
! [X3,X1,X7,X5] :
( ~ ron(X5,X7)
| rR(X1,X3,X5)
| vd684 = vangle(X3,X1,X5)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| ~ rline(X7)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f1376]) ).
fof(f1385,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f785]) ).
fof(f1387,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f711]) ).
fof(f1436,plain,
( rR(sK2,vd1096,vd1089)
| ~ rpoint(vd1096)
| ~ rpoint(sK2)
| ~ rpoint(vd1089) ),
inference(resolution,[],[f718,f683]) ).
fof(f1437,plain,
( rR(sK2,vd1096,vd1089)
| ~ rpoint(sK2)
| ~ rpoint(vd1089) ),
inference(forward_subsumption_resolution,[],[f1436,f429]) ).
fof(f1438,plain,
( rR(sK2,vd1096,vd1089)
| ~ rpoint(vd1089) ),
inference(forward_subsumption_resolution,[],[f1437,f438]) ).
fof(f1439,plain,
rR(sK2,vd1096,vd1089),
inference(forward_subsumption_resolution,[],[f1438,f437]) ).
fof(f1460,plain,
vd684 = vf(vd1089,vd1089),
inference(resolution,[],[f1385,f437]) ).
fof(f1482,plain,
! [X0] :
( ~ rpoint(X0)
| vf(X0,vd1086) = vf(vd1086,X0) ),
inference(resolution,[],[f782,f476]) ).
fof(f1488,plain,
( ~ rR(vd1089,sK2,vd1096)
| ~ rpoint(vd1096)
| ~ rpoint(vd1089)
| ~ rpoint(sK2) ),
inference(resolution,[],[f707,f683]) ).
fof(f1497,plain,
( ~ rR(vd1089,sK2,vd1096)
| ~ rpoint(vd1089)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f1488,f429]) ).
fof(f1499,plain,
( ~ rR(vd1089,sK2,vd1096)
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f1497,f437]) ).
fof(f1501,plain,
~ rR(vd1089,sK2,vd1096),
inference(forward_subsumption_resolution,[],[f1499,f438]) ).
fof(f1520,definition,
( spl48_13
<=> vd1089 = vd1086 ),
introduced(definition,[new_symbols(definition,[spl48_13])],[avatar_definition]) ).
fof(f1521,plain,
( vd1089 != vd1086
| spl48_13 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1522,plain,
( vd1089 = vd1086
| ~ spl48_13 ),
inference(avatar_component_clause,[],[f1520]) ).
fof(f1540,plain,
vf(vd1089,vd1086) = vf(vd1086,vd1089),
inference(resolution,[],[f1482,f437]) ).
fof(f1573,plain,
( vf(vd1089,sK2) = vf(vd1089,vd1089)
| ~ spl48_13 ),
inference(superposition,[],[f690,f1522]) ).
fof(f1575,plain,
! [X0,X1] :
( vf(vd1089,sK2) != vf(vd1089,X0)
| ron(X0,X1)
| ~ ron(vd1086,X1)
| ~ rpoint(vd1086)
| ~ rcenter(vd1089,X1)
| ~ rpoint(X0) ),
inference(superposition,[],[f1298,f690]) ).
fof(f1582,plain,
! [X0,X1] :
( vf(vd1089,sK2) != vf(vd1089,X0)
| ron(X0,X1)
| ~ ron(vd1086,X1)
| ~ rcenter(vd1089,X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1575,f476]) ).
fof(f1583,plain,
( vd684 = vf(vd1089,sK2)
| ~ spl48_13 ),
inference(forward_demodulation,[],[f1573,f1460]) ).
fof(f1593,plain,
! [X0] :
( ~ rR(sK2,vd1096,X0)
| ~ rR(sK2,vd1089,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1089)
| ~ rpoint(sK2)
| ~ rpoint(vd1096) ),
inference(resolution,[],[f965,f1439]) ).
fof(f1600,plain,
! [X0] :
( ~ rR(sK2,vd1096,X0)
| ~ rR(sK2,vd1089,X0)
| ~ rpoint(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1096) ),
inference(forward_subsumption_resolution,[],[f1593,f437]) ).
fof(f1602,plain,
! [X0] :
( ~ rR(sK2,vd1096,X0)
| ~ rR(sK2,vd1089,X0)
| ~ rpoint(X0)
| ~ rpoint(vd1096) ),
inference(forward_subsumption_resolution,[],[f1600,f438]) ).
fof(f1604,plain,
! [X0] :
( ~ rR(sK2,vd1096,X0)
| ~ rR(sK2,vd1089,X0)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1602,f429]) ).
fof(f1606,plain,
( ~ rR(sK2,vd1089,vd1089)
| ~ rpoint(vd1089) ),
inference(resolution,[],[f1604,f1439]) ).
fof(f1607,plain,
~ rR(sK2,vd1089,vd1089),
inference(forward_subsumption_resolution,[],[f1606,f437]) ).
fof(f1608,plain,
( vd684 != vf(vd1089,sK2)
| vd1086 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1086) ),
inference(superposition,[],[f787,f689]) ).
fof(f1610,plain,
! [X0,X1] :
( vf(vd1089,sK2) != vf(vd1086,X0)
| ron(sK2,X1)
| ~ ron(X0,X1)
| ~ rpoint(X0)
| ~ rcenter(vd1086,X1)
| ~ rpoint(sK2) ),
inference(superposition,[],[f1298,f689]) ).
fof(f1615,plain,
! [X0,X1] :
( vf(vd1089,sK2) != vf(vd1086,X0)
| ron(sK2,X1)
| ~ ron(X0,X1)
| ~ rpoint(X0)
| ~ rcenter(vd1086,X1) ),
inference(forward_subsumption_resolution,[],[f1610,f438]) ).
fof(f1617,plain,
( vd1086 = sK2
| ~ rpoint(sK2)
| ~ rpoint(vd1086)
| ~ spl48_13 ),
inference(forward_subsumption_resolution,[],[f1608,f1583]) ).
fof(f1622,plain,
( ~ rpoint(sK2)
| ~ rpoint(vd1086)
| ~ spl48_13 ),
inference(forward_subsumption_resolution,[],[f1617,f695]) ).
fof(f1627,plain,
( ~ rpoint(vd1086)
| ~ spl48_13 ),
inference(forward_subsumption_resolution,[],[f1622,f438]) ).
fof(f1632,plain,
( $false
| ~ spl48_13 ),
inference(forward_subsumption_resolution,[],[f1627,f476]) ).
fof(f1633,plain,
~ spl48_13,
inference(avatar_contradiction_clause,[],[f1632]) ).
fof(f1637,plain,
vf(vd1089,sK2) = vf(vd1086,vd1089),
inference(forward_demodulation,[],[f1540,f690]) ).
fof(f1659,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,vskolem1099)
| ~ ron(vd1089,X1)
| vskolem1099 = X1
| ~ rline(X1)
| ~ rline(vskolem1099)
| vd1089 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1089) ),
inference(resolution,[],[f794,f434]) ).
fof(f1712,plain,
! [X0] :
( ron(sK2,X0)
| ~ ron(vd1086,X0)
| ~ rcenter(vd1089,X0)
| ~ rpoint(sK2) ),
inference(equality_resolution,[],[f1582]) ).
fof(f1713,plain,
! [X0] :
( ~ rcenter(vd1089,X0)
| ~ ron(vd1086,X0)
| ron(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f1712,f438]) ).
fof(f1745,plain,
! [X0,X1] :
( rinside(X1,sK4(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1 ),
inference(resolution,[],[f758,f460]) ).
fof(f1747,plain,
! [X0] :
( vd1089 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1089)
| ~ ron(vd1086,sK4(vd1089,X0))
| ron(sK2,sK4(vd1089,X0)) ),
inference(resolution,[],[f758,f1713]) ).
fof(f1758,plain,
! [X0] :
( ~ ron(vd1086,sK4(vd1089,X0))
| ~ rpoint(X0)
| vd1089 = X0
| ron(sK2,sK4(vd1089,X0)) ),
inference(forward_subsumption_resolution,[],[f1747,f437]) ).
fof(f1889,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| X2 = X3
| ~ ron(X2,sK4(X1,X0))
| ~ ron(X3,sK4(X1,X0))
| rR(X1,X3,X2)
| ~ ron(X2,X4)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ rcircle(sK4(X1,X0))
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(resolution,[],[f1745,f907]) ).
fof(f1890,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| X2 = X3
| ~ ron(X2,sK4(X1,X0))
| ~ ron(X3,sK4(X1,X0))
| rR(X1,X3,X2)
| ~ ron(X2,X4)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ rcircle(sK4(X1,X0))
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f1889]) ).
fof(f1892,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,sK4(X1,X0))
| ~ rpoint(X1)
| X0 = X1
| X2 = X3
| ~ ron(X2,sK4(X1,X0))
| ~ rpoint(X0)
| rR(X1,X3,X2)
| ~ ron(X2,X4)
| ~ ron(X3,X4)
| ~ ron(X1,X4)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f1890,f760]) ).
fof(f2004,plain,
! [X0] :
( vf(vd1089,sK2) != vf(vd1089,sK2)
| ron(sK2,X0)
| ~ ron(vd1089,X0)
| ~ rpoint(vd1089)
| ~ rcenter(vd1086,X0) ),
inference(superposition,[],[f1615,f1637]) ).
fof(f2006,plain,
! [X0] :
( ron(sK2,X0)
| ~ ron(vd1089,X0)
| ~ rpoint(vd1089)
| ~ rcenter(vd1086,X0) ),
inference(trivial_inequality_removal,[],[f2004]) ).
fof(f2007,plain,
! [X0] :
( ~ rcenter(vd1086,X0)
| ~ ron(vd1089,X0)
| ron(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f2006,f437]) ).
fof(f2008,plain,
! [X0] :
( ~ ron(vd1089,sK4(vd1086,X0))
| ron(sK2,sK4(vd1086,X0))
| vd1086 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1086) ),
inference(resolution,[],[f2007,f758]) ).
fof(f2009,plain,
! [X0] :
( ~ ron(vd1089,sK4(vd1086,X0))
| ron(sK2,sK4(vd1086,X0))
| vd1086 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2008,f476]) ).
fof(f2010,plain,
( ron(sK2,sK4(vd1086,vd1089))
| vd1089 = vd1086
| ~ rpoint(vd1089)
| vd1089 = vd1086
| ~ rpoint(vd1089)
| ~ rpoint(vd1086) ),
inference(resolution,[],[f2009,f756]) ).
fof(f2011,plain,
( ron(sK2,sK4(vd1086,vd1089))
| vd1089 = vd1086
| ~ rpoint(vd1089)
| ~ rpoint(vd1086) ),
inference(duplicate_literal_removal,[],[f2010]) ).
fof(f2012,plain,
( ron(sK2,sK4(vd1086,vd1089))
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f2011,f1521]) ).
fof(f2013,plain,
( ron(sK2,sK4(vd1086,vd1089))
| ~ rpoint(vd1086)
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f2012,f437]) ).
fof(f2014,plain,
( ron(sK2,sK4(vd1086,vd1089))
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f2013,f476]) ).
fof(f2066,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| vd684 = vangle(X1,X0,X2)
| ~ ron(X1,sK9(X3,X2))
| ~ ron(X0,sK9(X3,X2))
| X0 = X2
| X0 = X1
| ~ rline(sK9(X3,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(resolution,[],[f1377,f803]) ).
fof(f2069,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| vd684 = vangle(X1,X0,X2)
| ~ ron(X1,sK9(X3,X2))
| ~ ron(X0,sK9(X3,X2))
| X0 = X2
| X0 = X1
| ~ rline(sK9(X3,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f2066]) ).
fof(f2074,plain,
! [X2,X3,X0,X1] :
( ~ ron(X1,sK9(X3,X2))
| vd684 = vangle(X1,X0,X2)
| rR(X0,X1,X2)
| ~ ron(X0,sK9(X3,X2))
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f2069,f807]) ).
fof(f2077,plain,
! [X2,X0,X1] :
( vd684 = vangle(X0,X1,X0)
| rR(X1,X0,X0)
| ~ ron(X1,sK9(X2,X0))
| X0 = X1
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f2074,f803]) ).
fof(f2086,plain,
! [X2,X0,X1] :
( vd684 = vangle(X0,X1,X0)
| rR(X1,X0,X0)
| ~ ron(X1,sK9(X2,X0))
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f2077]) ).
fof(f2093,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK9(X2,X0))
| vd684 = vangle(X0,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f2086,f1387]) ).
fof(f2152,plain,
! [X0,X1] :
( vd684 = vangle(X0,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f2093,f805]) ).
fof(f2159,plain,
! [X0,X1] :
( vd684 = vangle(X0,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f2152]) ).
fof(f2195,plain,
! [X2,X3,X0,X1,X4] :
( rR(vd1086,X0,X1)
| rR(vd1086,X2,X3)
| vd1086 = X1
| vd1086 = X3
| vd1086 = X0
| vd1086 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vskolem1099)
| ~ ron(X2,vskolem1099)
| vangle(X3,vd1086,X1) = vangle(X2,vd1086,X0)
| ~ rline(X4)
| ~ rline(vskolem1099)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(vd1086) ),
inference(resolution,[],[f1337,f682]) ).
fof(f2298,plain,
( ~ rpoint(vd1086)
| vd1089 = vd1086
| ron(sK2,sK4(vd1089,vd1086))
| vd1089 = vd1086
| ~ rpoint(vd1086)
| ~ rpoint(vd1089) ),
inference(resolution,[],[f1758,f756]) ).
fof(f2299,plain,
( ~ rpoint(vd1086)
| vd1089 = vd1086
| ron(sK2,sK4(vd1089,vd1086))
| ~ rpoint(vd1089) ),
inference(duplicate_literal_removal,[],[f2298]) ).
fof(f2300,plain,
( vd1089 = vd1086
| ron(sK2,sK4(vd1089,vd1086))
| ~ rpoint(vd1089) ),
inference(forward_subsumption_resolution,[],[f2299,f476]) ).
fof(f2301,plain,
( ron(sK2,sK4(vd1089,vd1086))
| ~ rpoint(vd1089)
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f2300,f1521]) ).
fof(f2302,plain,
( ron(sK2,sK4(vd1089,vd1086))
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f2301,f437]) ).
fof(f2462,definition,
( spl48_41
<=> vd1089 = sK2 ),
introduced(definition,[new_symbols(definition,[spl48_41])],[avatar_definition]) ).
fof(f2463,plain,
( vd1089 != sK2
| spl48_41 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f2464,plain,
( vd1089 = sK2
| ~ spl48_41 ),
inference(avatar_component_clause,[],[f2462]) ).
fof(f2495,plain,
( rR(vd1089,vd1089,vd1096)
| ~ spl48_41 ),
inference(superposition,[],[f683,f2464]) ).
fof(f2504,plain,
( ~ rR(vd1089,vd1089,vd1096)
| ~ spl48_41 ),
inference(superposition,[],[f1501,f2464]) ).
fof(f2550,plain,
( $false
| ~ spl48_41 ),
inference(forward_subsumption_resolution,[],[f2495,f2504]) ).
fof(f2551,plain,
~ spl48_41,
inference(avatar_contradiction_clause,[],[f2550]) ).
fof(f2793,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,vskolem1099)
| ~ ron(vd1089,X1)
| vskolem1099 = X1
| ~ rline(X1)
| vd1089 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1089) ),
inference(forward_subsumption_resolution,[],[f1659,f433]) ).
fof(f2833,plain,
! [X2,X3,X0,X1,X4] :
( rR(vd1086,X0,X1)
| rR(vd1086,X2,X3)
| vd1086 = X1
| vd1086 = X3
| vd1086 = X0
| vd1086 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| ~ ron(X3,vskolem1099)
| ~ ron(X2,vskolem1099)
| vangle(X3,vd1086,X1) = vangle(X2,vd1086,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(vd1086) ),
inference(forward_subsumption_resolution,[],[f2195,f433]) ).
fof(f2985,plain,
! [X0,X1] :
( ~ ron(vd1089,X1)
| ~ ron(X0,vskolem1099)
| ~ ron(X0,X1)
| vskolem1099 = X1
| ~ rline(X1)
| vd1089 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f2793,f437]) ).
fof(f3034,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vskolem1099)
| rR(vd1086,X2,X3)
| vd1086 = X1
| vd1086 = X3
| vd1086 = X0
| vd1086 = X2
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| rR(vd1086,X0,X1)
| ~ ron(X2,vskolem1099)
| vangle(X3,vd1086,X1) = vangle(X2,vd1086,X0)
| ~ rline(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f2833,f476]) ).
fof(f3312,plain,
! [X0] :
( ~ ron(X0,vskolem1099)
| ~ ron(X0,vskolem1092)
| vskolem1099 = vskolem1092
| ~ rline(vskolem1092)
| vd1089 = X0
| ~ rpoint(X0) ),
inference(resolution,[],[f2985,f472]) ).
fof(f3320,plain,
! [X0] :
( ~ ron(X0,vskolem1099)
| ~ ron(X0,vskolem1092)
| vskolem1099 = vskolem1092
| vd1089 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f3312,f470]) ).
fof(f3324,definition,
( spl48_125
<=> vskolem1099 = vskolem1092 ),
introduced(definition,[new_symbols(definition,[spl48_125])],[avatar_definition]) ).
fof(f3326,plain,
( vskolem1099 = vskolem1092
| ~ spl48_125 ),
inference(avatar_component_clause,[],[f3324]) ).
fof(f3328,definition,
( spl48_126
<=> ! [X0] :
( ~ ron(X0,vskolem1099)
| ~ rpoint(X0)
| vd1089 = X0
| ~ ron(X0,vskolem1092) ) ),
introduced(definition,[new_symbols(definition,[spl48_126])],[avatar_definition]) ).
fof(f3329,plain,
( ! [X0] :
( ~ ron(X0,vskolem1092)
| ~ rpoint(X0)
| vd1089 = X0
| ~ ron(X0,vskolem1099) )
| ~ spl48_126 ),
inference(avatar_component_clause,[],[f3328]) ).
fof(f3330,plain,
( spl48_125
| spl48_126 ),
inference(avatar_split_clause,[],[f3320,f3328,f3324]) ).
fof(f3347,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X0)
| X0 = X1
| X1 = X2
| ~ ron(X2,sK4(X0,X1))
| ~ rpoint(X1)
| rR(X0,X1,X2)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X3)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f1892,f756]) ).
fof(f3359,plain,
! [X2,X3,X0,X1] :
( ~ ron(X2,sK4(X0,X1))
| X0 = X1
| X1 = X2
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X0,X1,X2)
| ~ ron(X2,X3)
| ~ ron(X1,X3)
| ~ ron(X0,X3)
| ~ rline(X3)
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f3347]) ).
fof(f3384,plain,
( ! [X0] :
( vd1089 = vd1086
| vd1089 = sK2
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| rR(vd1086,vd1089,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl48_13 ),
inference(resolution,[],[f3359,f2014]) ).
fof(f3385,plain,
( ! [X0] :
( vd1089 = vd1086
| vd1086 = sK2
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| rR(vd1089,vd1086,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1086,X0)
| ~ ron(vd1089,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl48_13 ),
inference(resolution,[],[f3359,f2302]) ).
fof(f3401,plain,
( ! [X0] :
( vd1086 = sK2
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| rR(vd1089,vd1086,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1086,X0)
| ~ ron(vd1089,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f3385,f1521]) ).
fof(f3402,plain,
( ! [X0] :
( vd1089 = sK2
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| rR(vd1086,vd1089,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f3384,f1521]) ).
fof(f3405,plain,
( ! [X0] :
( ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| rR(vd1089,vd1086,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1086,X0)
| ~ ron(vd1089,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f3401,f695]) ).
fof(f3406,plain,
( ! [X0] :
( ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| rR(vd1086,vd1089,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl48_13
| spl48_41 ),
inference(forward_subsumption_resolution,[],[f3402,f2463]) ).
fof(f3408,plain,
( ! [X0] :
( ~ rpoint(vd1086)
| rR(vd1089,vd1086,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1086,X0)
| ~ ron(vd1089,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f3405,f437]) ).
fof(f3409,plain,
( ! [X0] :
( ~ rpoint(vd1089)
| rR(vd1086,vd1089,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl48_13
| spl48_41 ),
inference(forward_subsumption_resolution,[],[f3406,f476]) ).
fof(f3411,plain,
( ! [X0] :
( rR(vd1089,vd1086,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1086,X0)
| ~ ron(vd1089,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f3408,f476]) ).
fof(f3412,plain,
( ! [X0] :
( rR(vd1086,vd1089,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ~ rline(X0)
| ~ rpoint(sK2) )
| spl48_13
| spl48_41 ),
inference(forward_subsumption_resolution,[],[f3409,f437]) ).
fof(f3414,plain,
( ! [X0] :
( rR(vd1089,vd1086,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1086,X0)
| ~ ron(vd1089,X0)
| ~ rline(X0) )
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f3411,f438]) ).
fof(f3415,plain,
( ! [X0] :
( rR(vd1086,vd1089,sK2)
| ~ ron(sK2,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ~ rline(X0) )
| spl48_13
| spl48_41 ),
inference(forward_subsumption_resolution,[],[f3412,f438]) ).
fof(f3417,definition,
( spl48_127
<=> ! [X0] :
( ~ ron(vd1086,X0)
| ~ rline(X0)
| ~ ron(vd1089,X0)
| ~ ron(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl48_127])],[avatar_definition]) ).
fof(f3418,plain,
( ! [X0] :
( ~ ron(sK2,X0)
| ~ rline(X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0) )
| ~ spl48_127 ),
inference(avatar_component_clause,[],[f3417]) ).
fof(f3425,definition,
( spl48_129
<=> rR(vd1089,vd1086,sK2) ),
introduced(definition,[new_symbols(definition,[spl48_129])],[avatar_definition]) ).
fof(f3427,plain,
( rR(vd1089,vd1086,sK2)
| ~ spl48_129 ),
inference(avatar_component_clause,[],[f3425]) ).
fof(f3428,plain,
( spl48_127
| spl48_129
| spl48_13 ),
inference(avatar_split_clause,[],[f3414,f1520,f3425,f3417]) ).
fof(f3430,definition,
( spl48_130
<=> rR(vd1086,vd1089,sK2) ),
introduced(definition,[new_symbols(definition,[spl48_130])],[avatar_definition]) ).
fof(f3432,plain,
( rR(vd1086,vd1089,sK2)
| ~ spl48_130 ),
inference(avatar_component_clause,[],[f3430]) ).
fof(f3433,plain,
( spl48_127
| spl48_130
| spl48_13
| spl48_41 ),
inference(avatar_split_clause,[],[f3415,f2462,f1520,f3430,f3417]) ).
fof(f3434,plain,
( ~ rline(vskolem1092)
| ~ ron(vd1089,vskolem1092)
| ~ ron(vd1086,vskolem1092)
| ~ spl48_127 ),
inference(resolution,[],[f3418,f693]) ).
fof(f3444,plain,
( ~ ron(vd1089,vskolem1092)
| ~ ron(vd1086,vskolem1092)
| ~ spl48_127 ),
inference(forward_subsumption_resolution,[],[f3434,f470]) ).
fof(f3447,plain,
( ~ ron(vd1086,vskolem1092)
| ~ spl48_127 ),
inference(forward_subsumption_resolution,[],[f3444,f472]) ).
fof(f3448,plain,
( ~ ron(vd1086,vskolem1099)
| ~ spl48_125
| ~ spl48_127 ),
inference(forward_demodulation,[],[f3447,f3326]) ).
fof(f3449,plain,
( $false
| ~ spl48_125
| ~ spl48_127 ),
inference(forward_subsumption_resolution,[],[f3448,f682]) ).
fof(f3450,plain,
( ~ spl48_125
| ~ spl48_127 ),
inference(avatar_contradiction_clause,[],[f3449]) ).
fof(f3451,plain,
( ~ rpoint(vd1096)
| vd1089 = vd1096
| ~ ron(vd1096,vskolem1099)
| ~ spl48_126 ),
inference(resolution,[],[f3329,f684]) ).
fof(f3453,plain,
( ~ rpoint(sK2)
| vd1089 = sK2
| ~ ron(sK2,vskolem1099)
| ~ spl48_126 ),
inference(resolution,[],[f3329,f693]) ).
fof(f3460,plain,
( vd1089 = sK2
| ~ ron(sK2,vskolem1099)
| ~ spl48_126 ),
inference(forward_subsumption_resolution,[],[f3453,f438]) ).
fof(f3461,plain,
( vd1089 = vd1096
| ~ ron(vd1096,vskolem1099)
| ~ spl48_126 ),
inference(forward_subsumption_resolution,[],[f3451,f429]) ).
fof(f3462,plain,
( ~ ron(sK2,vskolem1099)
| spl48_41
| ~ spl48_126 ),
inference(forward_subsumption_resolution,[],[f3460,f2463]) ).
fof(f3464,definition,
( spl48_131
<=> ron(vd1096,vskolem1099) ),
introduced(definition,[new_symbols(definition,[spl48_131])],[avatar_definition]) ).
fof(f3466,plain,
( ~ ron(vd1096,vskolem1099)
| spl48_131 ),
inference(avatar_component_clause,[],[f3464]) ).
fof(f3468,definition,
( spl48_132
<=> vd1089 = vd1096 ),
introduced(definition,[new_symbols(definition,[spl48_132])],[avatar_definition]) ).
fof(f3469,plain,
( vd1089 != vd1096
| spl48_132 ),
inference(avatar_component_clause,[],[f3468]) ).
fof(f3470,plain,
( vd1089 = vd1096
| ~ spl48_132 ),
inference(avatar_component_clause,[],[f3468]) ).
fof(f3473,plain,
! [X2,X3,X0,X1] :
( rR(vd1086,X0,vd1089)
| vd1086 = X1
| vd1089 = vd1086
| vd1086 = X2
| vd1086 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(vd1086,X2,X1)
| ~ ron(X0,vskolem1099)
| vangle(X0,vd1086,X2) = vangle(vd1089,vd1086,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(vd1089)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f3034,f434]) ).
fof(f3480,plain,
( ! [X2,X3,X0,X1] :
( rR(vd1086,X0,vd1089)
| vd1086 = X1
| vd1086 = X2
| vd1086 = X0
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| rR(vd1086,X2,X1)
| ~ ron(X0,vskolem1099)
| vangle(X0,vd1086,X2) = vangle(vd1089,vd1086,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(vd1089)
| ~ rpoint(X2)
| ~ rpoint(X0) )
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f3473,f1521]) ).
fof(f3481,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X2,X3)
| vd1086 = X1
| vd1086 = X2
| vd1086 = X0
| ~ ron(X1,X3)
| rR(vd1086,X0,vd1089)
| rR(vd1086,X2,X1)
| ~ ron(X0,vskolem1099)
| vangle(X0,vd1086,X2) = vangle(vd1089,vd1086,X1)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) )
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f3480,f437]) ).
fof(f3733,plain,
( ! [X2,X3,X0,X1] :
( vd1086 = X0
| vd1086 = X1
| vd1086 = X2
| ~ ron(X0,sK9(X3,X1))
| rR(vd1086,X2,vd1089)
| rR(vd1086,X1,X0)
| ~ ron(X2,vskolem1099)
| vangle(vd1089,vd1086,X0) = vangle(X2,vd1086,X1)
| ~ rline(sK9(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) )
| spl48_13 ),
inference(resolution,[],[f3481,f803]) ).
fof(f3736,plain,
( ! [X2,X3,X0,X1] :
( vd1086 = X0
| vd1086 = X1
| vd1086 = X2
| ~ ron(X0,sK9(X3,X1))
| rR(vd1086,X2,vd1089)
| rR(vd1086,X1,X0)
| ~ ron(X2,vskolem1099)
| vangle(vd1089,vd1086,X0) = vangle(X2,vd1086,X1)
| ~ rline(sK9(X3,X1))
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) )
| spl48_13 ),
inference(duplicate_literal_removal,[],[f3733]) ).
fof(f3741,plain,
( ! [X2,X3,X0,X1] :
( ~ ron(X0,sK9(X3,X1))
| vd1086 = X1
| vd1086 = X2
| vd1086 = X0
| rR(vd1086,X2,vd1089)
| rR(vd1086,X1,X0)
| ~ ron(X2,vskolem1099)
| vangle(vd1089,vd1086,X0) = vangle(X2,vd1086,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rpoint(X2)
| X1 = X3
| ~ rpoint(X3) )
| spl48_13 ),
inference(forward_subsumption_resolution,[],[f3736,f807]) ).
fof(f3757,definition,
( spl48_135
<=> vd1096 = vd1086 ),
introduced(definition,[new_symbols(definition,[spl48_135])],[avatar_definition]) ).
fof(f3758,plain,
( vd1096 != vd1086
| spl48_135 ),
inference(avatar_component_clause,[],[f3757]) ).
fof(f3759,plain,
( vd1096 = vd1086
| ~ spl48_135 ),
inference(avatar_component_clause,[],[f3757]) ).
fof(f3768,plain,
( ron(vd1086,vskolem1092)
| ~ spl48_135 ),
inference(superposition,[],[f684,f3759]) ).
fof(f3791,plain,
( $false
| ~ spl48_127
| ~ spl48_135 ),
inference(forward_subsumption_resolution,[],[f3768,f3447]) ).
fof(f3792,plain,
( ~ spl48_127
| ~ spl48_135 ),
inference(avatar_contradiction_clause,[],[f3791]) ).
fof(f3845,plain,
( ~ rR(vd1086,vd1089,sK2)
| ~ rpoint(sK2)
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| ~ spl48_129 ),
inference(resolution,[],[f3427,f707]) ).
fof(f3851,plain,
( ! [X0] :
( ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(sK2)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086) )
| ~ spl48_129 ),
inference(resolution,[],[f3427,f985]) ).
fof(f3854,plain,
( ! [X0] :
( ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086) )
| ~ spl48_129 ),
inference(forward_subsumption_resolution,[],[f3851,f438]) ).
fof(f3859,plain,
( ~ rpoint(sK2)
| ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| ~ spl48_129
| ~ spl48_130 ),
inference(forward_subsumption_resolution,[],[f3845,f3432]) ).
fof(f3860,plain,
( ! [X0] :
( ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ron(sK2,X0)
| ~ rline(X0)
| ~ rpoint(vd1086) )
| ~ spl48_129 ),
inference(forward_subsumption_resolution,[],[f3854,f437]) ).
fof(f3865,plain,
( ~ rpoint(vd1086)
| ~ rpoint(vd1089)
| ~ spl48_129
| ~ spl48_130 ),
inference(forward_subsumption_resolution,[],[f3859,f438]) ).
fof(f3866,plain,
( ! [X0] :
( ~ ron(vd1086,X0)
| ~ ron(vd1089,X0)
| ron(sK2,X0)
| ~ rline(X0) )
| ~ spl48_129 ),
inference(forward_subsumption_resolution,[],[f3860,f476]) ).
fof(f3871,plain,
( ~ rpoint(vd1089)
| ~ spl48_129
| ~ spl48_130 ),
inference(forward_subsumption_resolution,[],[f3865,f476]) ).
fof(f3872,plain,
( $false
| ~ spl48_129
| ~ spl48_130 ),
inference(forward_subsumption_resolution,[],[f3871,f437]) ).
fof(f3873,plain,
( ~ spl48_129
| ~ spl48_130 ),
inference(avatar_contradiction_clause,[],[f3872]) ).
fof(f3874,plain,
( ~ spl48_131
| spl48_132
| ~ spl48_126 ),
inference(avatar_split_clause,[],[f3461,f3328,f3468,f3464]) ).
fof(f3910,plain,
( ~ ron(vd1089,vskolem1099)
| ron(sK2,vskolem1099)
| ~ rline(vskolem1099)
| ~ spl48_129 ),
inference(resolution,[],[f3866,f682]) ).
fof(f3934,plain,
( ron(sK2,vskolem1099)
| ~ rline(vskolem1099)
| ~ spl48_129 ),
inference(forward_subsumption_resolution,[],[f3910,f434]) ).
fof(f3938,plain,
( ~ rline(vskolem1099)
| spl48_41
| ~ spl48_126
| ~ spl48_129 ),
inference(forward_subsumption_resolution,[],[f3934,f3462]) ).
fof(f3940,plain,
( $false
| spl48_41
| ~ spl48_126
| ~ spl48_129 ),
inference(forward_subsumption_resolution,[],[f3938,f433]) ).
fof(f3941,plain,
( spl48_41
| ~ spl48_126
| ~ spl48_129 ),
inference(avatar_contradiction_clause,[],[f3940]) ).
fof(f4311,plain,
( ! [X2,X0,X1] :
( vd1086 = X0
| vd1086 = X1
| vd1086 = X2
| rR(vd1086,X1,vd1089)
| rR(vd1086,X0,X2)
| ~ ron(X1,vskolem1099)
| vangle(X1,vd1086,X0) = vangle(vd1089,vd1086,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) )
| spl48_13 ),
inference(resolution,[],[f3741,f805]) ).
fof(f4318,plain,
( ! [X2,X0,X1] :
( rR(vd1086,X1,vd1089)
| rR(vd1086,X0,X2)
| vd1086 = X2
| vd1086 = X1
| vd1086 = X0
| ~ ron(X1,vskolem1099)
| vangle(X1,vd1086,X0) = vangle(vd1089,vd1086,X2)
| ~ rpoint(X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2 )
| spl48_13 ),
inference(duplicate_literal_removal,[],[f4311]) ).
fof(f4421,definition,
( spl48_144
<=> rR(vd1086,vd1096,vd1089) ),
introduced(definition,[new_symbols(definition,[spl48_144])],[avatar_definition]) ).
fof(f4422,plain,
( ~ rR(vd1086,vd1096,vd1089)
| spl48_144 ),
inference(avatar_component_clause,[],[f4421]) ).
fof(f4423,plain,
( rR(vd1086,vd1096,vd1089)
| ~ spl48_144 ),
inference(avatar_component_clause,[],[f4421]) ).
fof(f4535,plain,
( ! [X0] :
( ~ ron(vd1089,X0)
| ~ ron(vd1096,X0)
| ron(vd1086,X0)
| ~ rline(X0)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| ~ rpoint(vd1096) )
| ~ spl48_144 ),
inference(resolution,[],[f4423,f981]) ).
fof(f4540,plain,
( ! [X0] :
( ~ ron(vd1089,X0)
| ~ ron(vd1096,X0)
| ron(vd1086,X0)
| ~ rline(X0)
| ~ rpoint(vd1086)
| ~ rpoint(vd1096) )
| ~ spl48_144 ),
inference(forward_subsumption_resolution,[],[f4535,f437]) ).
fof(f4547,plain,
( ! [X0] :
( ~ ron(vd1089,X0)
| ~ ron(vd1096,X0)
| ron(vd1086,X0)
| ~ rline(X0)
| ~ rpoint(vd1096) )
| ~ spl48_144 ),
inference(forward_subsumption_resolution,[],[f4540,f476]) ).
fof(f4554,plain,
( ! [X0] :
( ~ ron(vd1096,X0)
| ~ ron(vd1089,X0)
| ron(vd1086,X0)
| ~ rline(X0) )
| ~ spl48_144 ),
inference(forward_subsumption_resolution,[],[f4547,f429]) ).
fof(f4567,plain,
( ~ ron(vd1089,vskolem1092)
| ron(vd1086,vskolem1092)
| ~ rline(vskolem1092)
| ~ spl48_144 ),
inference(resolution,[],[f4554,f684]) ).
fof(f4574,plain,
( ron(vd1086,vskolem1092)
| ~ rline(vskolem1092)
| ~ spl48_144 ),
inference(forward_subsumption_resolution,[],[f4567,f472]) ).
fof(f4577,plain,
( ~ rline(vskolem1092)
| ~ spl48_127
| ~ spl48_144 ),
inference(forward_subsumption_resolution,[],[f4574,f3447]) ).
fof(f4578,plain,
( $false
| ~ spl48_127
| ~ spl48_144 ),
inference(forward_subsumption_resolution,[],[f4577,f470]) ).
fof(f4579,plain,
( ~ spl48_127
| ~ spl48_144 ),
inference(avatar_contradiction_clause,[],[f4578]) ).
fof(f5137,definition,
( spl48_152
<=> rR(vd1086,vd1089,vd1089) ),
introduced(definition,[new_symbols(definition,[spl48_152])],[avatar_definition]) ).
fof(f5138,plain,
( ~ rR(vd1086,vd1089,vd1089)
| spl48_152 ),
inference(avatar_component_clause,[],[f5137]) ).
fof(f5139,plain,
( rR(vd1086,vd1089,vd1089)
| ~ spl48_152 ),
inference(avatar_component_clause,[],[f5137]) ).
fof(f5152,plain,
( ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| ~ spl48_152 ),
inference(resolution,[],[f5139,f1387]) ).
fof(f5162,plain,
( ~ rpoint(vd1086)
| ~ spl48_152 ),
inference(forward_subsumption_resolution,[],[f5152,f437]) ).
fof(f5168,plain,
( $false
| ~ spl48_152 ),
inference(forward_subsumption_resolution,[],[f5162,f476]) ).
fof(f5169,plain,
~ spl48_152,
inference(avatar_contradiction_clause,[],[f5168]) ).
fof(f5755,plain,
( rR(sK2,vd1089,vd1089)
| ~ spl48_132 ),
inference(superposition,[],[f683,f3470]) ).
fof(f5795,plain,
( $false
| ~ spl48_132 ),
inference(forward_subsumption_resolution,[],[f5755,f1607]) ).
fof(f5796,plain,
~ spl48_132,
inference(avatar_contradiction_clause,[],[f5795]) ).
fof(f6781,plain,
( ! [X0,X1] :
( rR(vd1086,X0,X1)
| vd1086 = X1
| vd1089 = vd1086
| vd1086 = X0
| ~ ron(vd1089,vskolem1099)
| vangle(vd1089,vd1086,X1) = vangle(vd1089,vd1086,X0)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1089)
| X0 = X1 )
| spl48_13
| spl48_152 ),
inference(resolution,[],[f4318,f5138]) ).
fof(f6859,plain,
( ! [X0,X1] :
( rR(vd1086,X0,X1)
| vd1086 = X1
| vd1086 = X0
| ~ ron(vd1089,vskolem1099)
| vangle(vd1089,vd1086,X1) = vangle(vd1089,vd1086,X0)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1089)
| X0 = X1 )
| spl48_13
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f6781,f1521]) ).
fof(f6870,plain,
( ! [X0,X1] :
( rR(vd1086,X0,X1)
| vd1086 = X1
| vd1086 = X0
| vangle(vd1089,vd1086,X1) = vangle(vd1089,vd1086,X0)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(vd1089)
| X0 = X1 )
| spl48_13
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f6859,f434]) ).
fof(f6872,plain,
( ! [X0,X1] :
( rR(vd1086,X0,X1)
| vd1086 = X1
| vd1086 = X0
| vangle(vd1089,vd1086,X1) = vangle(vd1089,vd1086,X0)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X0 = X1 )
| spl48_13
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f6870,f437]) ).
fof(f6879,plain,
( vd1089 = vd1086
| vd1096 = vd1086
| vangle(vd1089,vd1086,vd1089) = vangle(vd1089,vd1086,vd1096)
| ~ rpoint(vd1089)
| ~ rpoint(vd1096)
| vd1089 = vd1096
| spl48_13
| spl48_144
| spl48_152 ),
inference(resolution,[],[f6872,f4422]) ).
fof(f6915,plain,
( vd1096 = vd1086
| vangle(vd1089,vd1086,vd1089) = vangle(vd1089,vd1086,vd1096)
| ~ rpoint(vd1089)
| ~ rpoint(vd1096)
| vd1089 = vd1096
| spl48_13
| spl48_144
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f6879,f1521]) ).
fof(f6919,plain,
( vangle(vd1089,vd1086,vd1089) = vangle(vd1089,vd1086,vd1096)
| ~ rpoint(vd1089)
| ~ rpoint(vd1096)
| vd1089 = vd1096
| spl48_13
| spl48_135
| spl48_144
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f6915,f3758]) ).
fof(f6923,plain,
( vangle(vd1089,vd1086,vd1089) = vangle(vd1089,vd1086,vd1096)
| ~ rpoint(vd1096)
| vd1089 = vd1096
| spl48_13
| spl48_135
| spl48_144
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f6919,f437]) ).
fof(f6926,plain,
( vangle(vd1089,vd1086,vd1089) = vangle(vd1089,vd1086,vd1096)
| vd1089 = vd1096
| spl48_13
| spl48_135
| spl48_144
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f6923,f429]) ).
fof(f6929,plain,
( vangle(vd1089,vd1086,vd1089) = vangle(vd1089,vd1086,vd1096)
| spl48_13
| spl48_132
| spl48_135
| spl48_144
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f6926,f3469]) ).
fof(f7307,plain,
( ! [X0] :
( vd684 != vangle(vd1089,vd1086,vd1089)
| ron(vd1096,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| vd1096 = vd1086
| vd1089 = vd1086
| ~ rline(X0)
| ~ rpoint(vd1096)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086) )
| spl48_13
| spl48_132
| spl48_135
| spl48_144
| spl48_152 ),
inference(superposition,[],[f1373,f6929]) ).
fof(f7314,plain,
( ! [X0] :
( ron(vd1096,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| vd1096 = vd1086
| vd1089 = vd1086
| ~ rline(X0)
| ~ rpoint(vd1096)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086) )
| spl48_13
| spl48_132
| spl48_135
| spl48_144
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f7307,f2159]) ).
fof(f7316,plain,
( ! [X0] :
( ron(vd1096,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| vd1089 = vd1086
| ~ rline(X0)
| ~ rpoint(vd1096)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086) )
| spl48_13
| spl48_132
| spl48_135
| spl48_144
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f7314,f3758]) ).
fof(f7318,plain,
( ! [X0] :
( ron(vd1096,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ~ rline(X0)
| ~ rpoint(vd1096)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086) )
| spl48_13
| spl48_132
| spl48_135
| spl48_144
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f7316,f1521]) ).
fof(f7320,plain,
( ! [X0] :
( ron(vd1096,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ~ rline(X0)
| ~ rpoint(vd1089)
| ~ rpoint(vd1086) )
| spl48_13
| spl48_132
| spl48_135
| spl48_144
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f7318,f429]) ).
fof(f7322,plain,
( ! [X0] :
( ron(vd1096,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ~ rline(X0)
| ~ rpoint(vd1086) )
| spl48_13
| spl48_132
| spl48_135
| spl48_144
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f7320,f437]) ).
fof(f7324,plain,
( ! [X0] :
( ron(vd1096,X0)
| ~ ron(vd1089,X0)
| ~ ron(vd1086,X0)
| ~ rline(X0) )
| spl48_13
| spl48_132
| spl48_135
| spl48_144
| spl48_152 ),
inference(forward_subsumption_resolution,[],[f7322,f476]) ).
fof(f7326,definition,
( spl48_191
<=> ! [X0] :
( ron(vd1096,X0)
| ~ rline(X0)
| ~ ron(vd1086,X0)
| ~ ron(vd1089,X0) ) ),
introduced(definition,[new_symbols(definition,[spl48_191])],[avatar_definition]) ).
fof(f7327,plain,
( ! [X0] :
( ~ ron(vd1086,X0)
| ~ rline(X0)
| ron(vd1096,X0)
| ~ ron(vd1089,X0) )
| ~ spl48_191 ),
inference(avatar_component_clause,[],[f7326]) ).
fof(f7333,plain,
( spl48_191
| spl48_13
| spl48_132
| spl48_135
| spl48_144
| spl48_152 ),
inference(avatar_split_clause,[],[f7324,f5137,f4421,f3757,f3468,f1520,f7326]) ).
fof(f7335,plain,
( ~ rline(vskolem1099)
| ron(vd1096,vskolem1099)
| ~ ron(vd1089,vskolem1099)
| ~ spl48_191 ),
inference(resolution,[],[f7327,f682]) ).
fof(f7344,plain,
( ron(vd1096,vskolem1099)
| ~ ron(vd1089,vskolem1099)
| ~ spl48_191 ),
inference(forward_subsumption_resolution,[],[f7335,f433]) ).
fof(f7347,plain,
( ~ ron(vd1089,vskolem1099)
| spl48_131
| ~ spl48_191 ),
inference(forward_subsumption_resolution,[],[f7344,f3466]) ).
fof(f7348,plain,
( $false
| spl48_131
| ~ spl48_191 ),
inference(forward_subsumption_resolution,[],[f7347,f434]) ).
fof(f7349,plain,
( spl48_131
| ~ spl48_191 ),
inference(avatar_contradiction_clause,[],[f7348]) ).
cnf(s15,plain,
~ spl48_13,
inference(sat_conversion,[],[f1633]) ).
cnf(s43,plain,
~ spl48_41,
inference(sat_conversion,[],[f2551]) ).
cnf(s116,plain,
( spl48_125
| spl48_126 ),
inference(sat_conversion,[],[f3330]) ).
cnf(s118,plain,
( spl48_13
| spl48_127
| spl48_129 ),
inference(sat_conversion,[],[f3428]) ).
cnf(s119,plain,
( spl48_13
| spl48_41
| spl48_127
| spl48_130 ),
inference(sat_conversion,[],[f3433]) ).
cnf(s120,plain,
( ~ spl48_125
| ~ spl48_127 ),
inference(sat_conversion,[],[f3450]) ).
cnf(s127,plain,
( ~ spl48_127
| ~ spl48_135 ),
inference(sat_conversion,[],[f3792]) ).
cnf(s131,plain,
( ~ spl48_129
| ~ spl48_130 ),
inference(sat_conversion,[],[f3873]) ).
cnf(s132,plain,
( ~ spl48_126
| ~ spl48_131
| spl48_132 ),
inference(sat_conversion,[],[f3874]) ).
cnf(s134,plain,
( spl48_41
| ~ spl48_126
| ~ spl48_129 ),
inference(sat_conversion,[],[f3941]) ).
cnf(s149,plain,
( ~ spl48_127
| ~ spl48_144 ),
inference(sat_conversion,[],[f4579]) ).
cnf(s152,plain,
~ spl48_152,
inference(sat_conversion,[],[f5169]) ).
cnf(s174,plain,
~ spl48_132,
inference(sat_conversion,[],[f5796]) ).
cnf(s202,plain,
( spl48_13
| spl48_132
| spl48_135
| spl48_144
| spl48_152
| spl48_191 ),
inference(sat_conversion,[],[f7333]) ).
cnf(s203,plain,
( spl48_131
| ~ spl48_191 ),
inference(sat_conversion,[],[f7349]) ).
cnf(s223,plain,
( ~ spl48_126
| ~ spl48_131 ),
inference(rat,[],[s132,s174]) ).
cnf(s238,plain,
( ~ spl48_126
| spl48_135 ),
inference(rat,[],[s202,s149,s203,s118,s223,s134,s174,s15,s152,s43]) ).
cnf(s239,plain,
spl48_127,
inference(rat,[],[s131,s119,s118,s43,s15]) ).
cnf(s242,plain,
~ spl48_135,
inference(rat,[],[s127,s239]) ).
cnf(s243,plain,
~ spl48_125,
inference(rat,[],[s120,s239]) ).
cnf(s248,plain,
~ spl48_126,
inference(rat,[],[s238,s242]) ).
cnf(s249,plain,
$false,
inference(rat,[],[s116,s248,s243]) ).
fof(f7350,plain,
$false,
inference(avatar_sat_refutation,[],[s249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO279+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:01:45 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.48/2.82 % (1330892)Detected formulas, will run a generic FOF schedule.
% 13.48/2.82 % (1330897)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3067895132:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.48/2.82 % (1330899)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3232004182:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.48/2.82 % (1330900)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3673905570:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.48/2.82 % (1330898)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3924824488:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.48/2.82 % (1330900)Refutation not found, incomplete strategy
% 13.48/2.82 % (1330900)------------------------------
% 13.48/2.82 % (1330900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.48/2.82 % (1330900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/2.82 % (1330900)CaDiCaL version: 2.1.3
% 13.48/2.82 % (1330900)Termination reason: Refutation not found, incomplete strategy
% 13.48/2.82 % (1330900)Time elapsed: 0.003 s
% 13.48/2.82 % (1330900)Peak memory usage: 88 MB
% 13.48/2.82 % (1330900)Instructions burned: 3 (million)
% 13.48/2.82 % (1330901)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4067392826:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.48/2.82 % (1330903)dis-21_1_sil=8000:lcm=predicate:random_seed=1733676792:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 13.48/2.82 % (1330902)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=984045320:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.48/2.82 % (1330901)Instruction limit reached!
% 13.48/2.82 % (1330901)------------------------------
% 13.48/2.82 % (1330901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.48/2.82 % (1330901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/2.82 % (1330901)CaDiCaL version: 2.1.3
% 13.48/2.82 % (1330901)Termination reason: Instruction limit
% 13.48/2.82 % (1330901)Termination phase: Saturation
% 13.48/2.82 % (1330901)Time elapsed: 0.066 s
% 13.48/2.82 % (1330901)Peak memory usage: 89 MB
% 13.48/2.82 % (1330901)Instructions burned: 120 (million)
% 13.48/2.82 % (1330903)Instruction limit reached!
% 13.48/2.82 % (1330903)------------------------------
% 13.48/2.82 % (1330903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.48/2.82 % (1330903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/2.82 % (1330903)CaDiCaL version: 2.1.3
% 13.48/2.82 % (1330903)Termination reason: Instruction limit
% 13.48/2.82 % (1330903)Termination phase: Saturation
% 13.48/2.82 % (1330903)Time elapsed: 0.071 s
% 13.48/2.82 % (1330903)Peak memory usage: 91 MB
% 13.48/2.82 % (1330903)Instructions burned: 130 (million)
% 13.48/2.82 % (1330902)Instruction limit reached!
% 13.48/2.82 % (1330902)------------------------------
% 13.48/2.82 % (1330902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.48/2.82 % (1330902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.48/2.82 % (1330902)CaDiCaL version: 2.1.3
% 13.48/2.82 % (1330902)Termination reason: Instruction limit
% 13.48/2.82 % (1330902)Termination phase: Saturation
% 13.48/2.82 % (1330902)Time elapsed: 0.089 s
% 13.48/2.82 % (1330902)Peak memory usage: 90 MB
% 13.48/2.82 % (1330902)Instructions burned: 141 (million)
% 13.48/2.82 % (1330911)lrs+10_1_sil=8000:sp=occurrence:random_seed=1186352986:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.48/2.82 % (1330912)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2927921126:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.48/2.82 % (1330913)lrs+1011_1_sil=32000:sp=occurrence:random_seed=774714575:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.48/2.82 % (1330900)------------------------------
% 13.48/2.82 % (1330900)------------------------------
% 13.48/2.82 % (1330912)Instruction limit reached!
% 13.48/2.82 % (1330912)------------------------------
% 13.48/2.82 % (1330912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330912)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330912)Termination reason: Instruction limit
% 15.67/3.08 % (1330912)Termination phase: Saturation
% 15.67/3.08 % (1330912)Time elapsed: 0.077 s
% 15.67/3.08 % (1330912)Peak memory usage: 93 MB
% 15.67/3.08 % (1330912)Instructions burned: 158 (million)
% 15.67/3.08 % (1330911)Instruction limit reached!
% 15.67/3.08 % (1330911)------------------------------
% 15.67/3.08 % (1330911)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330911)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330911)Termination reason: Instruction limit
% 15.67/3.08 % (1330911)Termination phase: Saturation
% 15.67/3.08 % (1330911)Time elapsed: 0.158 s
% 15.67/3.08 % (1330911)Peak memory usage: 92 MB
% 15.67/3.08 % (1330911)Instructions burned: 285 (million)
% 15.67/3.08 % (1330913)Instruction limit reached!
% 15.67/3.08 % (1330913)------------------------------
% 15.67/3.08 % (1330913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330913)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330913)Termination reason: Instruction limit
% 15.67/3.08 % (1330913)Termination phase: Saturation
% 15.67/3.08 % (1330913)Time elapsed: 0.148 s
% 15.67/3.08 % (1330913)Peak memory usage: 91 MB
% 15.67/3.08 % (1330913)Instructions burned: 327 (million)
% 15.67/3.08 % (1330917)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2656546612:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 15.67/3.08 % (1330918)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3907461579:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.67/3.08 % (1330920)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2418319363:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.67/3.08 % (1330919)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1194685412:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.67/3.08 % (1330917)Instruction limit reached!
% 15.67/3.08 % (1330917)------------------------------
% 15.67/3.08 % (1330917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330917)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330917)Termination reason: Instruction limit
% 15.67/3.08 % (1330917)Termination phase: Saturation
% 15.67/3.08 % (1330917)Time elapsed: 0.118 s
% 15.67/3.08 % (1330917)Peak memory usage: 90 MB
% 15.67/3.08 % (1330917)Instructions burned: 248 (million)
% 15.67/3.08 % (1330920)Instruction limit reached!
% 15.67/3.08 % (1330920)------------------------------
% 15.67/3.08 % (1330920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330920)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330920)Termination reason: Instruction limit
% 15.67/3.08 % (1330920)Termination phase: Saturation
% 15.67/3.08 % (1330920)Time elapsed: 0.034 s
% 15.67/3.08 % (1330920)Peak memory usage: 90 MB
% 15.67/3.08 % (1330920)Instructions burned: 114 (million)
% 15.67/3.08 % (1330918)Instruction limit reached!
% 15.67/3.08 % (1330918)------------------------------
% 15.67/3.08 % (1330918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330918)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330918)Termination reason: Instruction limit
% 15.67/3.08 % (1330918)Termination phase: Saturation
% 15.67/3.08 % (1330918)Time elapsed: 0.160 s
% 15.67/3.08 % (1330918)Peak memory usage: 89 MB
% 15.67/3.08 % (1330918)Instructions burned: 295 (million)
% 15.67/3.08 % (1330925)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=115923646:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 15.67/3.08 % (1330926)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=736552345:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 15.67/3.08 % (1330925)Instruction limit reached!
% 15.67/3.08 % (1330925)------------------------------
% 15.67/3.08 % (1330925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330925)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330925)Termination reason: Instruction limit
% 15.67/3.08 % (1330925)Termination phase: Saturation
% 15.67/3.08 % (1330925)Time elapsed: 0.064 s
% 15.67/3.08 % (1330925)Peak memory usage: 89 MB
% 15.67/3.08 % (1330925)Instructions burned: 129 (million)
% 15.67/3.08 % (1330926)Instruction limit reached!
% 15.67/3.08 % (1330926)------------------------------
% 15.67/3.08 % (1330926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330926)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330926)Termination reason: Instruction limit
% 15.67/3.08 % (1330926)Termination phase: Saturation
% 15.67/3.08 % (1330926)Time elapsed: 0.059 s
% 15.67/3.08 % (1330926)Peak memory usage: 89 MB
% 15.67/3.08 % (1330926)Instructions burned: 114 (million)
% 15.67/3.08 % (1330927)lrs+10_1_sil=8000:sp=occurrence:random_seed=2110843983:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 15.67/3.08 % (1330930)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1860637325:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 15.67/3.08 % (1330931)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3832036939:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 15.67/3.08 % (1330930)Refutation not found, incomplete strategy
% 15.67/3.08 % (1330930)------------------------------
% 15.67/3.08 % (1330930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330930)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330930)Termination reason: Refutation not found, incomplete strategy
% 15.67/3.08 % (1330930)Time elapsed: 0.015 s
% 15.67/3.08 % (1330930)Peak memory usage: 89 MB
% 15.67/3.08 % (1330930)Instructions burned: 28 (million)
% 15.67/3.08 % (1330930)------------------------------
% 15.67/3.08 % (1330930)------------------------------
% 15.67/3.08 % (1330935)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=315836674:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 15.67/3.08 % (1330927)Instruction limit reached!
% 15.67/3.08 % (1330927)------------------------------
% 15.67/3.08 % (1330927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330927)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330927)Termination reason: Instruction limit
% 15.67/3.08 % (1330927)Termination phase: Saturation
% 15.67/3.08 % (1330927)Time elapsed: 0.500 s
% 15.67/3.08 % (1330927)Peak memory usage: 100 MB
% 15.67/3.08 % (1330927)Instructions burned: 908 (million)
% 15.67/3.08 % (1330935)Instruction limit reached!
% 15.67/3.08 % (1330935)------------------------------
% 15.67/3.08 % (1330935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330935)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330935)Termination reason: Instruction limit
% 15.67/3.08 % (1330935)Termination phase: Saturation
% 15.67/3.08 % (1330935)Time elapsed: 0.068 s
% 15.67/3.08 % (1330935)Peak memory usage: 93 MB
% 15.67/3.08 % (1330935)Instructions burned: 136 (million)
% 15.67/3.08 % (1330937)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3553255881:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 15.67/3.08 % (1330938)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=544639674:st=3:i=13193:sd=3:ss=axioms_2985 on theBenchmark for (2985ds/13193Mi)
% 15.67/3.08 % (1330937)Instruction limit reached!
% 15.67/3.08 % (1330937)------------------------------
% 15.67/3.08 % (1330937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330937)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330937)Termination reason: Instruction limit
% 15.67/3.08 % (1330937)Termination phase: Saturation
% 15.67/3.08 % (1330937)Time elapsed: 0.303 s
% 15.67/3.08 % (1330937)Peak memory usage: 92 MB
% 15.67/3.08 % (1330937)Instructions burned: 594 (million)
% 15.67/3.08 % (1330919)First to succeed.
% 15.67/3.08 % (1330919)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1330892"
% 15.67/3.08 % (1330941)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3562870063:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 15.67/3.08 % (1330931)Also succeeded, but the first one will report.
% 15.67/3.08 % (1330941)Instruction limit reached!
% 15.67/3.08 % (1330941)------------------------------
% 15.67/3.08 % (1330941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.08 % (1330941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.08 % (1330941)CaDiCaL version: 2.1.3
% 15.67/3.08 % (1330941)Termination reason: Instruction limit
% 15.67/3.08 % (1330941)Termination phase: Saturation
% 15.67/3.08 % (1330941)Time elapsed: 0.066 s
% 15.67/3.08 % (1330941)Peak memory usage: 92 MB
% 15.67/3.08 % (1330941)Instructions burned: 127 (million)
% 15.67/3.08 % (1330943)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3307240572:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 15.67/3.08 % (1330919)Refutation found. Thanks to Tanya!
% 15.67/3.08 % SZS status ContradictoryAxioms for theBenchmark
% 15.67/3.08 % SZS output start Proof for theBenchmark
% See solution above
% 16.21/3.28 % (1330919)------------------------------
% 16.21/3.28 % (1330919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.21/3.28 % (1330919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.21/3.28 % (1330919)CaDiCaL version: 2.1.3
% 16.21/3.28 % (1330919)Termination reason: Refutation
% 16.21/3.28 % (1330919)Time elapsed: 1.317 s
% 16.21/3.28 % (1330919)Peak memory usage: 139 MB
% 16.21/3.28 % (1330919)Instructions burned: 2083 (million)
% 16.21/3.28 % (1330919)------------------------------
% 16.21/3.28 % (1330919)------------------------------
% 16.21/3.28 % (1330892)Success in time 2.222 s
% 16.21/3.28 % Vampire exiting
%------------------------------------------------------------------------------