%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO337+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:52:32 AM UTC 2026
% Result : Theorem 28.56s 5.84s
% Output : Refutation 34.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 30
% Syntax : Number of formulae : 303 ( 58 unt; 11 def)
% Number of atoms : 1750 ( 657 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 2456 (1009 ~;1327 |; 98 &)
% ( 15 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-3 aty)
% Number of variables : 634 ( 0 sgn 607 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
vangle(vd1378,vd1363,vd1362) = vangle(vd1361,vd1362,vd1363),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(397), 1382, 0)') ).
fof(f2,negated_conjecture,
vangle(vd1378,vd1363,vd1362) != vangle(vd1361,vd1362,vd1363),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
vf(vd1363,vd1378) = vf(vd1361,vd1362),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(396), 1380, 0)') ).
fof(f5,axiom,
rR(vd1378,vd1361,vd1363),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(396), 1379, 0)') ).
fof(f6,axiom,
rpoint(vd1378),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(396, 0)') ).
fof(f7,axiom,
? [X0] :
( vd1363 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(386)))') ).
fof(f9,axiom,
vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(386, 1365, 0)') ).
fof(f10,axiom,
vd1362 != vd1363,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 9)') ).
fof(f11,axiom,
vd1361 != vd1363,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 8)') ).
fof(f12,axiom,
vd1361 != vd1362,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(386, 7)') ).
fof(f13,axiom,
? [X0] :
( vd1362 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(386)))') ).
fof(f14,axiom,
? [X0] :
( vd1361 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(386)))') ).
fof(f20,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(188), 0), imp(cond(axiom(188), 0)))') ).
fof(f28,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f33,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(81), 0), imp(cond(axiom(81), 0)))') ).
fof(f50,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f53,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof(f57,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(194), 0), imp(cond(axiom(194), 0)))') ).
fof(f60,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).
fof(f119,axiom,
! [X0,X1,X2] :
( ( X0 != X2
& X0 != X1
& ? [X3] :
( X2 = X3
& rpoint(X3) )
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> vangle(X0,X1,X2) = vangle(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(168), 0), imp(cond(axiom(168), 0)))') ).
fof(f132,plain,
vangle(vd1378,vd1363,vd1362) != vangle(vd1361,vd1362,vd1363),
inference(flattening,[],[f2]) ).
fof(f145,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,[],[f20]) ).
fof(f146,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,[],[f145]) ).
fof(f159,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f160,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f159]) ).
fof(f169,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,[],[f33]) ).
fof(f170,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,[],[f169]) ).
fof(f203,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,[],[f53]) ).
fof(f204,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,[],[f203]) ).
fof(f211,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,[],[f57]) ).
fof(f212,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,[],[f211]) ).
fof(f217,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,[],[f60]) ).
fof(f218,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,[],[f217]) ).
fof(f329,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f119]) ).
fof(f330,plain,
! [X0,X1,X2] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| ! [X3] :
( X2 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f329]) ).
fof(f353,plain,
( vd1363 = sK1
& rpoint(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f7]) ).
fof(f354,plain,
( vd1362 = sK2
& rpoint(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f13]) ).
fof(f355,plain,
( vd1361 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f14]) ).
fof(f356,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| vangle(X2,X0,X4) != v0 )
& ( 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,[],[f146]) ).
fof(f357,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| vangle(X2,X0,X4) != v0 )
& ( 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,[],[f356]) ).
fof(f364,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,[],[f160]) ).
fof(f377,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,[],[f218]) ).
fof(f378,plain,
! [X0,X1] :
( ( ron(X1,sK12(X0,X1))
& ron(X0,sK12(X0,X1))
& rline(sK12(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X2,sK12(X0,X1))],[f377]) ).
fof(f433,plain,
vangle(vd1378,vd1363,vd1362) != vangle(vd1361,vd1362,vd1363),
inference(cnf_transformation,[],[f132]) ).
fof(f435,plain,
vf(vd1361,vd1362) = vf(vd1363,vd1378),
inference(cnf_transformation,[],[f4]) ).
fof(f436,plain,
rR(vd1378,vd1361,vd1363),
inference(cnf_transformation,[],[f5]) ).
fof(f437,plain,
rpoint(vd1378),
inference(cnf_transformation,[],[f6]) ).
fof(f438,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f353]) ).
fof(f439,plain,
vd1363 = sK1,
inference(cnf_transformation,[],[f353]) ).
fof(f441,plain,
vangle(vd1361,vd1362,vd1363) = vangle(vd1361,vd1363,vd1362),
inference(cnf_transformation,[],[f9]) ).
fof(f442,plain,
vd1363 != vd1362,
inference(cnf_transformation,[],[f10]) ).
fof(f443,plain,
vd1363 != vd1361,
inference(cnf_transformation,[],[f11]) ).
fof(f444,plain,
vd1362 != vd1361,
inference(cnf_transformation,[],[f12]) ).
fof(f445,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f354]) ).
fof(f446,plain,
vd1362 = sK2,
inference(cnf_transformation,[],[f354]) ).
fof(f447,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f355]) ).
fof(f448,plain,
vd1361 = sK3,
inference(cnf_transformation,[],[f355]) ).
fof(f454,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( 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(cnf_transformation,[],[f357]) ).
fof(f467,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f364]) ).
fof(f468,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f364]) ).
fof(f474,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,[],[f170]) ).
fof(f476,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,[],[f170]) ).
fof(f477,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,[],[f170]) ).
fof(f515,plain,
v0 = vd684,
inference(cnf_transformation,[],[f50]) ).
fof(f518,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,[],[f204]) ).
fof(f522,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,[],[f212]) ).
fof(f525,plain,
! [X3,X0,X1,X4] :
( rline(sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f378]) ).
fof(f526,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f378]) ).
fof(f527,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK12(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f378]) ).
fof(f666,plain,
! [X2,X3,X0,X1,X4,X5] :
( vangle(X0,X1,X2) = vangle(X2,X1,X0)
| X0 = X2
| X0 = X1
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f330]) ).
fof(f698,plain,
vangle(vd1378,sK1,sK2) != vangle(sK3,sK2,sK1),
inference(definition_unfolding,[],[f433,f439,f446,f448,f446,f439]) ).
fof(f700,plain,
vf(sK3,sK2) = vf(sK1,vd1378),
inference(definition_unfolding,[],[f435,f448,f446,f439]) ).
fof(f701,plain,
rR(vd1378,sK3,sK1),
inference(definition_unfolding,[],[f436,f448,f439]) ).
fof(f702,plain,
vangle(sK3,sK2,sK1) = vangle(sK3,sK1,sK2),
inference(definition_unfolding,[],[f441,f448,f446,f439,f448,f439,f446]) ).
fof(f703,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f442,f439,f446]) ).
fof(f704,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f443,f439,f448]) ).
fof(f705,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f444,f446,f448]) ).
fof(f710,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( vangle(X2,X0,X4) = vd684
| 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,[],[f454,f515]) ).
fof(f711,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f468,f515]) ).
fof(f712,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f467,f515]) ).
fof(f740,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( vangle(X2,X0,X4) = vd684
| 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,[],[f710]) ).
fof(f741,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,[],[f740]) ).
fof(f742,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,[],[f741]) ).
fof(f743,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,[],[f742]) ).
fof(f783,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f711]) ).
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,[],[f712]) ).
fof(f787,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f786]) ).
fof(f806,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,[],[f477]) ).
fof(f807,plain,
! [X3,X0,X4,X5] :
( ~ rR(X0,X4,X3)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f806]) ).
fof(f808,plain,
! [X3,X4,X5] :
( ~ rR(X5,X4,X3)
| ~ rR(X4,X5,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f807]) ).
fof(f809,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,[],[f476]) ).
fof(f810,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f809]) ).
fof(f811,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f810]) ).
fof(f812,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f811]) ).
fof(f817,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,[],[f474]) ).
fof(f818,plain,
! [X3,X0,X4,X5] :
( rR(X4,X3,X0)
| ~ rR(X4,X0,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f817]) ).
fof(f819,plain,
! [X3,X4,X5] :
( ~ rR(X4,X5,X3)
| rR(X4,X3,X5)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f818]) ).
fof(f953,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,[],[f518]) ).
fof(f954,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,[],[f953]) ).
fof(f955,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,[],[f954]) ).
fof(f956,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,[],[f955]) ).
fof(f963,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,[],[f522]) ).
fof(f964,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,[],[f963]) ).
fof(f965,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,[],[f964]) ).
fof(f966,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,[],[f965]) ).
fof(f967,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,[],[f966]) ).
fof(f968,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,[],[f967]) ).
fof(f969,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,[],[f968]) ).
fof(f977,plain,
! [X3,X0,X4] :
( ron(X3,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f527]) ).
fof(f978,plain,
! [X3,X4] :
( ron(X3,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f977]) ).
fof(f979,plain,
! [X3,X0,X4] :
( ron(X0,sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f526]) ).
fof(f980,plain,
! [X3,X4] :
( ron(X4,sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f979]) ).
fof(f981,plain,
! [X3,X0,X4] :
( rline(sK12(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f525]) ).
fof(f982,plain,
! [X3,X4] :
( rline(sK12(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f981]) ).
fof(f1395,plain,
! [X3,X0,X1,X4,X5] :
( vangle(X0,X1,X3) = vangle(X3,X1,X0)
| X0 = X3
| X0 = X1
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f666]) ).
fof(f1396,plain,
! [X3,X0,X4,X5] :
( vangle(X0,X4,X3) = vangle(X3,X4,X0)
| X0 = X3
| X0 = X4
| ~ rpoint(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1395]) ).
fof(f1397,plain,
! [X3,X4,X5] :
( ~ rpoint(X5)
| X3 = X5
| X4 = X5
| ~ rpoint(X3)
| ~ rpoint(X4)
| vangle(X3,X4,X5) = vangle(X5,X4,X3) ),
inference(equality_resolution,[],[f1396]) ).
fof(f1498,definition,
sF52 = vangle(vd1378,sK1,sK2),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f1499,plain,
vangle(vd1378,sK1,sK2) = sF52,
inference(reorient_equations,[],[f1498]) ).
fof(f1500,definition,
sF53 = vangle(sK3,sK2,sK1),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f1501,plain,
vangle(sK3,sK2,sK1) = sF53,
inference(reorient_equations,[],[f1500]) ).
fof(f1502,plain,
sF52 != sF53,
inference(definition_folding,[],[f698,f1501,f1499]) ).
fof(f1504,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f812]) ).
fof(f1505,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f785]) ).
fof(f1553,plain,
vangle(sK3,sK1,sK2) = sF53,
inference(forward_demodulation,[],[f1501,f702]) ).
fof(f1557,plain,
! [X0,X1] :
( ~ rpoint(X1)
| sK3 = X1
| ~ rpoint(X0)
| sK3 = X0
| vangle(X0,X1,sK3) = vangle(sK3,X1,X0) ),
inference(resolution,[],[f1397,f447]) ).
fof(f1558,plain,
( rR(vd1378,sK1,sK3)
| ~ rpoint(sK1)
| ~ rpoint(vd1378)
| ~ rpoint(sK3) ),
inference(resolution,[],[f819,f701]) ).
fof(f1559,plain,
( rR(vd1378,sK1,sK3)
| ~ rpoint(vd1378)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1558,f438]) ).
fof(f1560,plain,
( rR(vd1378,sK1,sK3)
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f1559,f437]) ).
fof(f1561,plain,
rR(vd1378,sK1,sK3),
inference(forward_subsumption_resolution,[],[f1560,f447]) ).
fof(f1570,definition,
( spl54_13
<=> vd1378 = sK1 ),
introduced(definition,[new_symbols(definition,[spl54_13])],[avatar_definition]) ).
fof(f1571,plain,
( vd1378 != sK1
| spl54_13 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1572,plain,
( vd1378 = sK1
| ~ spl54_13 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1574,definition,
( spl54_14
<=> vd684 = vf(sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_14])],[avatar_definition]) ).
fof(f1575,plain,
( vd684 = vf(sK3,sK2)
| ~ spl54_14 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1576,plain,
( vd684 != vf(sK3,sK2)
| spl54_14 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1611,plain,
( vf(sK3,sK2) = vf(sK1,sK1)
| ~ spl54_13 ),
inference(superposition,[],[f700,f1572]) ).
fof(f1619,plain,
vd684 = vf(vd1378,vd1378),
inference(resolution,[],[f1505,f437]) ).
fof(f1624,plain,
( vd684 = vf(sK1,sK1)
| ~ spl54_13 ),
inference(forward_demodulation,[],[f1619,f1572]) ).
fof(f1627,plain,
( vd684 = vf(sK3,sK2)
| ~ spl54_13 ),
inference(forward_demodulation,[],[f1624,f1611]) ).
fof(f1628,plain,
( $false
| ~ spl54_13
| spl54_14 ),
inference(forward_subsumption_resolution,[],[f1627,f1576]) ).
fof(f1629,plain,
( ~ spl54_13
| spl54_14 ),
inference(avatar_contradiction_clause,[],[f1628]) ).
fof(f1634,plain,
( vd684 != vd684
| sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_14 ),
inference(superposition,[],[f787,f1575]) ).
fof(f1635,plain,
( sK2 = sK3
| ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_14 ),
inference(trivial_inequality_removal,[],[f1634]) ).
fof(f1636,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK3)
| ~ spl54_14 ),
inference(forward_subsumption_resolution,[],[f1635,f705]) ).
fof(f1637,plain,
( ~ rpoint(sK3)
| ~ spl54_14 ),
inference(forward_subsumption_resolution,[],[f1636,f445]) ).
fof(f1638,plain,
( $false
| ~ spl54_14 ),
inference(forward_subsumption_resolution,[],[f1637,f447]) ).
fof(f1639,plain,
~ spl54_14,
inference(avatar_contradiction_clause,[],[f1638]) ).
fof(f1668,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK12(X1,X0))
| ~ ron(X4,sK12(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK12(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1) ),
inference(resolution,[],[f980,f969]) ).
fof(f1669,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| ~ ron(X5,sK12(X1,X0))
| ~ ron(X4,sK12(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rline(sK12(X1,X0))
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f1668]) ).
fof(f1670,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ ron(X5,sK12(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X5)
| X1 = X3
| X1 = X5
| X1 = X2
| X1 = X4
| ~ ron(X3,X6)
| ~ ron(X2,X6)
| X0 = X1
| ~ ron(X4,sK12(X1,X0))
| vangle(X5,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X6)
| ~ rpoint(X3)
| ~ rpoint(X5)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f1669,f982]) ).
fof(f1672,plain,
! [X0] :
( sK1 = sK3
| ~ rpoint(X0)
| sK3 = X0
| vangle(X0,sK1,sK3) = vangle(sK3,sK1,X0) ),
inference(resolution,[],[f1557,f438]) ).
fof(f1676,plain,
! [X0] :
( ~ rpoint(X0)
| sK3 = X0
| vangle(X0,sK1,sK3) = vangle(sK3,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f1672,f704]) ).
fof(f1713,plain,
( sK2 = sK3
| vangle(sK3,sK1,sK2) = vangle(sK2,sK1,sK3) ),
inference(resolution,[],[f1676,f445]) ).
fof(f1715,plain,
vangle(sK3,sK1,sK2) = vangle(sK2,sK1,sK3),
inference(forward_subsumption_resolution,[],[f1713,f705]) ).
fof(f1718,plain,
sF53 = vangle(sK2,sK1,sK3),
inference(forward_demodulation,[],[f1715,f1553]) ).
fof(f1719,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| vangle(X1,X0,X2) = vd684
| ~ ron(X1,sK12(X3,X2))
| ~ ron(X0,sK12(X3,X2))
| X0 = X2
| X0 = X1
| ~ rline(sK12(X3,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(resolution,[],[f743,f978]) ).
fof(f1722,plain,
! [X2,X3,X0,X1] :
( rR(X0,X1,X2)
| vangle(X1,X0,X2) = vd684
| ~ ron(X1,sK12(X3,X2))
| ~ ron(X0,sK12(X3,X2))
| X0 = X2
| X0 = X1
| ~ rline(sK12(X3,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3) ),
inference(duplicate_literal_removal,[],[f1719]) ).
fof(f1724,plain,
! [X2,X3,X0,X1] :
( ~ ron(X1,sK12(X3,X2))
| vangle(X1,X0,X2) = vd684
| rR(X0,X1,X2)
| ~ ron(X0,sK12(X3,X2))
| X0 = X2
| X0 = X1
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| X2 = X3
| ~ rpoint(X3) ),
inference(forward_subsumption_resolution,[],[f1722,f982]) ).
fof(f1725,plain,
! [X2,X0,X1] :
( vd684 = vangle(X0,X1,X0)
| rR(X1,X0,X0)
| ~ ron(X1,sK12(X2,X0))
| X0 = X1
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2)
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f1724,f978]) ).
fof(f1728,plain,
! [X2,X0,X1] :
( vd684 = vangle(X0,X1,X0)
| rR(X1,X0,X0)
| ~ ron(X1,sK12(X2,X0))
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) ),
inference(duplicate_literal_removal,[],[f1725]) ).
fof(f1729,plain,
! [X2,X0,X1] :
( ~ ron(X1,sK12(X2,X0))
| vd684 = vangle(X0,X1,X0)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X2
| ~ rpoint(X2) ),
inference(forward_subsumption_resolution,[],[f1728,f1504]) ).
fof(f1735,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,[],[f1729,f980]) ).
fof(f1736,plain,
! [X0,X1] :
( ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| vd684 = vangle(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f1735]) ).
fof(f1739,plain,
! [X0] :
( ~ rpoint(X0)
| sK1 = X0
| vd684 = vangle(X0,sK1,X0) ),
inference(resolution,[],[f1736,f438]) ).
fof(f1740,plain,
! [X0] :
( ~ rpoint(X0)
| sK2 = X0
| vd684 = vangle(X0,sK2,X0) ),
inference(resolution,[],[f1736,f445]) ).
fof(f1751,plain,
( sK1 = sK2
| vd684 = vangle(sK2,sK1,sK2) ),
inference(resolution,[],[f1739,f445]) ).
fof(f1754,plain,
vd684 = vangle(sK2,sK1,sK2),
inference(forward_subsumption_resolution,[],[f1751,f703]) ).
fof(f1759,plain,
( sK2 = sK3
| vd684 = vangle(sK3,sK2,sK3) ),
inference(resolution,[],[f1740,f447]) ).
fof(f1760,plain,
vd684 = vangle(sK3,sK2,sK3),
inference(forward_subsumption_resolution,[],[f1759,f705]) ).
fof(f2025,plain,
( ~ rR(sK1,vd1378,sK3)
| ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ rpoint(vd1378) ),
inference(resolution,[],[f808,f1561]) ).
fof(f2513,plain,
! [X0] :
( ~ ron(vd1378,X0)
| ~ ron(sK1,X0)
| ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK3)
| ~ rpoint(vd1378)
| ~ rpoint(sK1) ),
inference(resolution,[],[f956,f1561]) ).
fof(f15544,plain,
! [X0] :
( ~ ron(vd1378,X0)
| ~ ron(sK1,X0)
| ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(vd1378)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f2513,f447]) ).
fof(f15797,plain,
! [X0] :
( ~ ron(vd1378,X0)
| ~ ron(sK1,X0)
| ron(sK3,X0)
| ~ rline(X0)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f15544,f437]) ).
fof(f16458,plain,
! [X0] :
( ~ ron(sK1,X0)
| ~ ron(vd1378,X0)
| ron(sK3,X0)
| ~ rline(X0) ),
inference(forward_subsumption_resolution,[],[f15797,f438]) ).
fof(f16887,definition,
( spl54_911
<=> rR(sK2,sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_911])],[avatar_definition]) ).
fof(f16888,plain,
( rR(sK2,sK1,sK3)
| ~ spl54_911 ),
inference(avatar_component_clause,[],[f16887]) ).
fof(f16889,plain,
( ~ rR(sK2,sK1,sK3)
| spl54_911 ),
inference(avatar_component_clause,[],[f16887]) ).
fof(f16891,definition,
( spl54_912
<=> vd684 = sF53 ),
introduced(definition,[new_symbols(definition,[spl54_912])],[avatar_definition]) ).
fof(f16892,plain,
( vd684 = sF53
| ~ spl54_912 ),
inference(avatar_component_clause,[],[f16891]) ).
fof(f16893,plain,
( vd684 != sF53
| spl54_912 ),
inference(avatar_component_clause,[],[f16891]) ).
fof(f16922,definition,
( spl54_919
<=> vd684 = sF52 ),
introduced(definition,[new_symbols(definition,[spl54_919])],[avatar_definition]) ).
fof(f16923,plain,
( vd684 = sF52
| ~ spl54_919 ),
inference(avatar_component_clause,[],[f16922]) ).
fof(f16924,plain,
( vd684 != sF52
| spl54_919 ),
inference(avatar_component_clause,[],[f16922]) ).
fof(f17048,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| X0 = X1
| ~ ron(X4,sK12(X1,X0))
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X0)
| ~ rpoint(X2)
| ~ rpoint(X4)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1670,f978]) ).
fof(f17051,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X4,sK12(X1,X0))
| ~ rpoint(X1)
| rR(X1,X2,X3)
| rR(X1,X4,X0)
| X1 = X3
| X0 = X1
| X1 = X2
| X1 = X4
| ~ ron(X3,X5)
| ~ ron(X2,X5)
| ~ rpoint(X0)
| vangle(X0,X1,X3) = vangle(X4,X1,X2)
| ~ rline(X5)
| ~ rpoint(X3)
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f17048]) ).
fof(f17107,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| rR(X0,X3,X3)
| X0 = X2
| X0 = X3
| X0 = X1
| X0 = X3
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X0 = X3
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f17051,f978]) ).
fof(f17110,plain,
! [X2,X3,X0,X1,X4] :
( ~ rpoint(X0)
| rR(X0,X1,X2)
| rR(X0,X3,X3)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(duplicate_literal_removal,[],[f17107]) ).
fof(f17111,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X2,X4)
| rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,X4)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(forward_subsumption_resolution,[],[f17110,f1504]) ).
fof(f17112,plain,
! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK12(X4,X2))
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(sK12(X4,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X2)
| ~ rpoint(X4) ),
inference(resolution,[],[f17111,f978]) ).
fof(f17143,plain,
! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| ~ ron(X1,sK12(X4,X2))
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rline(sK12(X4,X2))
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f17112]) ).
fof(f17145,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X1,sK12(X4,X2))
| X0 = X2
| X0 = X3
| X0 = X1
| ~ rpoint(X0)
| rR(X0,X1,X2)
| ~ rpoint(X3)
| vangle(X3,X0,X2) = vangle(X3,X0,X1)
| ~ rpoint(X2)
| ~ rpoint(X1)
| X2 = X4
| ~ rpoint(X4) ),
inference(forward_subsumption_resolution,[],[f17143,f982]) ).
fof(f17151,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| X0 = X2
| X0 = X3
| ~ rpoint(X0)
| rR(X0,X3,X1)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X1)
| ~ rpoint(X3)
| X1 = X3
| ~ rpoint(X3)
| X1 = X3
| ~ rpoint(X1)
| ~ rpoint(X3) ),
inference(resolution,[],[f17145,f980]) ).
fof(f17152,plain,
! [X2,X3,X0,X1] :
( ~ rpoint(X3)
| X0 = X2
| X0 = X3
| ~ rpoint(X0)
| rR(X0,X3,X1)
| ~ rpoint(X2)
| vangle(X2,X0,X1) = vangle(X2,X0,X3)
| ~ rpoint(X1)
| X0 = X1
| X1 = X3 ),
inference(duplicate_literal_removal,[],[f17151]) ).
fof(f17164,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| sK1 = X0
| ~ rpoint(X0)
| rR(X0,sK1,X2)
| ~ rpoint(X1)
| vangle(X1,X0,X2) = vangle(X1,X0,sK1)
| X0 = X1
| X0 = X2
| sK1 = X2 ),
inference(resolution,[],[f17152,f438]) ).
fof(f17165,plain,
! [X2,X0,X1] :
( ~ rpoint(X2)
| sK2 = X0
| ~ rpoint(X0)
| rR(X0,sK2,X2)
| ~ rpoint(X1)
| vangle(X1,X0,X2) = vangle(X1,X0,sK2)
| X0 = X1
| X0 = X2
| sK2 = X2 ),
inference(resolution,[],[f17152,f445]) ).
fof(f17207,plain,
! [X0,X1] :
( sK1 = X0
| ~ rpoint(X0)
| rR(X0,sK1,sK3)
| ~ rpoint(X1)
| vangle(X1,X0,sK3) = vangle(X1,X0,sK1)
| X0 = X1
| sK3 = X0
| sK1 = sK3 ),
inference(resolution,[],[f17164,f447]) ).
fof(f17209,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| rR(X0,sK1,sK3)
| sK1 = X0
| vangle(X1,X0,sK3) = vangle(X1,X0,sK1)
| X0 = X1
| sK3 = X0 ),
inference(forward_subsumption_resolution,[],[f17207,f704]) ).
fof(f17231,plain,
! [X0,X1] :
( sK2 = X0
| ~ rpoint(X0)
| rR(X0,sK2,sK3)
| ~ rpoint(X1)
| vangle(X1,X0,sK3) = vangle(X1,X0,sK2)
| X0 = X1
| sK3 = X0
| sK2 = sK3 ),
inference(resolution,[],[f17165,f447]) ).
fof(f17233,plain,
! [X0,X1] :
( ~ rpoint(X1)
| ~ rpoint(X0)
| rR(X0,sK2,sK3)
| sK2 = X0
| vangle(X1,X0,sK3) = vangle(X1,X0,sK2)
| X0 = X1
| sK3 = X0 ),
inference(forward_subsumption_resolution,[],[f17231,f705]) ).
fof(f17284,plain,
! [X0] :
( ~ rpoint(X0)
| rR(X0,sK2,sK3)
| sK2 = X0
| vangle(sK2,X0,sK2) = vangle(sK2,X0,sK3)
| sK2 = X0
| sK3 = X0 ),
inference(resolution,[],[f17233,f445]) ).
fof(f17287,plain,
! [X0] :
( rR(X0,sK2,sK3)
| ~ rpoint(X0)
| sK2 = X0
| vangle(sK2,X0,sK2) = vangle(sK2,X0,sK3)
| sK3 = X0 ),
inference(duplicate_literal_removal,[],[f17284]) ).
fof(f17300,plain,
! [X0] :
( ~ rpoint(X0)
| rR(X0,sK1,sK3)
| sK1 = X0
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK1)
| sK3 = X0
| sK3 = X0 ),
inference(resolution,[],[f17209,f447]) ).
fof(f17301,plain,
! [X0] :
( rR(X0,sK1,sK3)
| ~ rpoint(X0)
| sK1 = X0
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK1)
| sK3 = X0 ),
inference(duplicate_literal_removal,[],[f17300]) ).
fof(f17904,plain,
! [X0] :
( ~ ron(vd1378,sK12(sK1,X0))
| ron(sK3,sK12(sK1,X0))
| ~ rline(sK12(sK1,X0))
| sK1 = X0
| ~ rpoint(X0)
| ~ rpoint(sK1) ),
inference(resolution,[],[f16458,f980]) ).
fof(f18616,definition,
( spl54_948
<=> rR(sK1,sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl54_948])],[avatar_definition]) ).
fof(f18617,plain,
( ~ rR(sK1,sK2,sK3)
| spl54_948 ),
inference(avatar_component_clause,[],[f18616]) ).
fof(f18618,plain,
( rR(sK1,sK2,sK3)
| ~ spl54_948 ),
inference(avatar_component_clause,[],[f18616]) ).
fof(f18660,plain,
! [X0] :
( ~ ron(vd1378,sK12(sK1,X0))
| ron(sK3,sK12(sK1,X0))
| sK1 = X0
| ~ rpoint(X0)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f17904,f982]) ).
fof(f18677,plain,
! [X0] :
( ~ ron(vd1378,sK12(sK1,X0))
| ron(sK3,sK12(sK1,X0))
| sK1 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f18660,f438]) ).
fof(f18743,plain,
( vd684 != sF52
| ~ spl54_912 ),
inference(superposition,[],[f1502,f16892]) ).
fof(f18759,plain,
( ~ rR(sK2,sK1,sK3)
| ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_948 ),
inference(resolution,[],[f18618,f808]) ).
fof(f19091,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_911
| ~ spl54_948 ),
inference(forward_subsumption_resolution,[],[f18759,f16888]) ).
fof(f19092,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_911
| ~ spl54_948 ),
inference(forward_subsumption_resolution,[],[f19091,f447]) ).
fof(f19093,plain,
( ~ rpoint(sK1)
| ~ spl54_911
| ~ spl54_948 ),
inference(forward_subsumption_resolution,[],[f19092,f445]) ).
fof(f19094,plain,
( $false
| ~ spl54_911
| ~ spl54_948 ),
inference(forward_subsumption_resolution,[],[f19093,f438]) ).
fof(f19095,plain,
( ~ spl54_911
| ~ spl54_948 ),
inference(avatar_contradiction_clause,[],[f19094]) ).
fof(f19221,plain,
( ~ rpoint(sK2)
| sK1 = sK2
| vangle(sK3,sK2,sK1) = vangle(sK3,sK2,sK3)
| sK2 = sK3
| spl54_911 ),
inference(resolution,[],[f16889,f17301]) ).
fof(f19222,plain,
( sK1 = sK2
| vangle(sK3,sK2,sK1) = vangle(sK3,sK2,sK3)
| sK2 = sK3
| spl54_911 ),
inference(forward_subsumption_resolution,[],[f19221,f445]) ).
fof(f19224,plain,
( vangle(sK3,sK2,sK1) = vangle(sK3,sK2,sK3)
| sK2 = sK3
| spl54_911 ),
inference(forward_subsumption_resolution,[],[f19222,f703]) ).
fof(f19226,plain,
( vangle(sK3,sK2,sK1) = vangle(sK3,sK2,sK3)
| spl54_911 ),
inference(forward_subsumption_resolution,[],[f19224,f705]) ).
fof(f19228,plain,
( vd684 = vangle(sK3,sK2,sK1)
| spl54_911 ),
inference(forward_demodulation,[],[f19226,f1760]) ).
fof(f19230,plain,
( vd684 = vangle(sK3,sK1,sK2)
| spl54_911 ),
inference(forward_demodulation,[],[f19228,f702]) ).
fof(f19232,plain,
( vd684 = sF53
| spl54_911 ),
inference(forward_demodulation,[],[f19230,f1553]) ).
fof(f19233,plain,
( ~ rpoint(sK1)
| sK1 = sK2
| vangle(sK2,sK1,sK3) = vangle(sK2,sK1,sK2)
| sK1 = sK3
| spl54_948 ),
inference(resolution,[],[f18617,f17287]) ).
fof(f19236,plain,
( sK1 = sK2
| vangle(sK2,sK1,sK3) = vangle(sK2,sK1,sK2)
| sK1 = sK3
| spl54_948 ),
inference(forward_subsumption_resolution,[],[f19233,f438]) ).
fof(f19238,plain,
( vangle(sK2,sK1,sK3) = vangle(sK2,sK1,sK2)
| sK1 = sK3
| spl54_948 ),
inference(forward_subsumption_resolution,[],[f19236,f703]) ).
fof(f19240,plain,
( vangle(sK2,sK1,sK3) = vangle(sK2,sK1,sK2)
| spl54_948 ),
inference(forward_subsumption_resolution,[],[f19238,f704]) ).
fof(f19242,plain,
( vd684 = vangle(sK2,sK1,sK3)
| spl54_948 ),
inference(forward_demodulation,[],[f19240,f1754]) ).
fof(f19244,plain,
( vd684 = sF53
| spl54_948 ),
inference(forward_demodulation,[],[f19242,f1718]) ).
fof(f19614,definition,
( spl54_972
<=> rR(sK1,sK2,sK2) ),
introduced(definition,[new_symbols(definition,[spl54_972])],[avatar_definition]) ).
fof(f19615,plain,
( rR(sK1,sK2,sK2)
| ~ spl54_972 ),
inference(avatar_component_clause,[],[f19614]) ).
fof(f19616,plain,
( ~ rR(sK1,sK2,sK2)
| spl54_972 ),
inference(avatar_component_clause,[],[f19614]) ).
fof(f19655,plain,
( ron(sK3,sK12(sK1,vd1378))
| vd1378 = sK1
| ~ rpoint(vd1378)
| vd1378 = sK1
| ~ rpoint(vd1378)
| ~ rpoint(sK1) ),
inference(resolution,[],[f18677,f978]) ).
fof(f19658,plain,
( ron(sK3,sK12(sK1,vd1378))
| vd1378 = sK1
| ~ rpoint(vd1378)
| ~ rpoint(sK1) ),
inference(duplicate_literal_removal,[],[f19655]) ).
fof(f19659,plain,
( ron(sK3,sK12(sK1,vd1378))
| ~ rpoint(vd1378)
| ~ rpoint(sK1)
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f19658,f1571]) ).
fof(f19660,plain,
( ron(sK3,sK12(sK1,vd1378))
| ~ rpoint(sK1)
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f19659,f437]) ).
fof(f19661,plain,
( ron(sK3,sK12(sK1,vd1378))
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f19660,f438]) ).
fof(f19675,plain,
( ! [X2,X0,X1] :
( ~ rpoint(sK1)
| rR(sK1,X0,X1)
| rR(sK1,sK3,vd1378)
| sK1 = X1
| vd1378 = sK1
| sK1 = X0
| sK1 = sK3
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(vd1378)
| vangle(sK3,sK1,X0) = vangle(vd1378,sK1,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| spl54_13 ),
inference(resolution,[],[f19661,f17051]) ).
fof(f19922,plain,
( ! [X2,X0,X1] :
( rR(sK1,X0,X1)
| rR(sK1,sK3,vd1378)
| sK1 = X1
| vd1378 = sK1
| sK1 = X0
| sK1 = sK3
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(vd1378)
| vangle(sK3,sK1,X0) = vangle(vd1378,sK1,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f19675,f438]) ).
fof(f19956,plain,
( ! [X2,X0,X1] :
( rR(sK1,X0,X1)
| rR(sK1,sK3,vd1378)
| sK1 = X1
| sK1 = X0
| sK1 = sK3
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(vd1378)
| vangle(sK3,sK1,X0) = vangle(vd1378,sK1,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f19922,f1571]) ).
fof(f19983,plain,
( ! [X2,X0,X1] :
( rR(sK1,X0,X1)
| rR(sK1,sK3,vd1378)
| sK1 = X1
| sK1 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| ~ rpoint(vd1378)
| vangle(sK3,sK1,X0) = vangle(vd1378,sK1,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f19956,f704]) ).
fof(f19993,plain,
( ! [X2,X0,X1] :
( rR(sK1,X0,X1)
| rR(sK1,sK3,vd1378)
| sK1 = X1
| sK1 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| vangle(sK3,sK1,X0) = vangle(vd1378,sK1,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0)
| ~ rpoint(sK3) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f19983,f437]) ).
fof(f20004,plain,
( ! [X2,X0,X1] :
( rR(sK1,X0,X1)
| rR(sK1,sK3,vd1378)
| sK1 = X1
| sK1 = X0
| ~ ron(X1,X2)
| ~ ron(X0,X2)
| vangle(sK3,sK1,X0) = vangle(vd1378,sK1,X1)
| ~ rline(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) )
| spl54_13 ),
inference(forward_subsumption_resolution,[],[f19993,f447]) ).
fof(f20011,definition,
( spl54_991
<=> rR(sK1,sK3,vd1378) ),
introduced(definition,[new_symbols(definition,[spl54_991])],[avatar_definition]) ).
fof(f20013,plain,
( rR(sK1,sK3,vd1378)
| ~ spl54_991 ),
inference(avatar_component_clause,[],[f20011]) ).
fof(f20015,definition,
( spl54_992
<=> ! [X2,X0,X1] :
( rR(sK1,X0,X1)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK3,sK1,X0) = vangle(vd1378,sK1,X1)
| ~ ron(X0,X2)
| ~ ron(X1,X2)
| sK1 = X0
| sK1 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl54_992])],[avatar_definition]) ).
fof(f20016,plain,
( ! [X2,X0,X1] :
( ~ ron(X1,X2)
| ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(X2)
| vangle(sK3,sK1,X0) = vangle(vd1378,sK1,X1)
| ~ ron(X0,X2)
| rR(sK1,X0,X1)
| sK1 = X0
| sK1 = X1 )
| ~ spl54_992 ),
inference(avatar_component_clause,[],[f20015]) ).
fof(f20017,plain,
( spl54_991
| spl54_992
| spl54_13 ),
inference(avatar_split_clause,[],[f20004,f1570,f20015,f20011]) ).
fof(f20225,plain,
( rR(sK1,vd1378,sK3)
| ~ rpoint(vd1378)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_991 ),
inference(resolution,[],[f20013,f819]) ).
fof(f20264,plain,
( ~ rR(sK1,vd1378,sK3)
| ~ rpoint(sK1)
| ~ rpoint(vd1378) ),
inference(forward_subsumption_resolution,[],[f2025,f447]) ).
fof(f20267,plain,
( rR(sK1,vd1378,sK3)
| ~ rpoint(sK1)
| ~ rpoint(sK3)
| ~ spl54_991 ),
inference(forward_subsumption_resolution,[],[f20225,f437]) ).
fof(f20283,plain,
( ~ rR(sK1,vd1378,sK3)
| ~ rpoint(vd1378) ),
inference(forward_subsumption_resolution,[],[f20264,f438]) ).
fof(f20286,plain,
( rR(sK1,vd1378,sK3)
| ~ rpoint(sK3)
| ~ spl54_991 ),
inference(forward_subsumption_resolution,[],[f20267,f438]) ).
fof(f20301,plain,
~ rR(sK1,vd1378,sK3),
inference(forward_subsumption_resolution,[],[f20283,f437]) ).
fof(f20304,plain,
( rR(sK1,vd1378,sK3)
| ~ spl54_991 ),
inference(forward_subsumption_resolution,[],[f20286,f447]) ).
fof(f20320,plain,
( $false
| ~ spl54_991 ),
inference(forward_subsumption_resolution,[],[f20304,f20301]) ).
fof(f20321,plain,
~ spl54_991,
inference(avatar_contradiction_clause,[],[f20320]) ).
fof(f20334,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(sK12(X2,X1))
| vangle(sK3,sK1,X0) = vangle(vd1378,sK1,X1)
| ~ ron(X0,sK12(X2,X1))
| rR(sK1,X0,X1)
| sK1 = X0
| sK1 = X1
| X1 = X2
| ~ rpoint(X1)
| ~ rpoint(X2) )
| ~ spl54_992 ),
inference(resolution,[],[f20016,f978]) ).
fof(f20370,plain,
( ! [X2,X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ rline(sK12(X2,X1))
| vangle(sK3,sK1,X0) = vangle(vd1378,sK1,X1)
| ~ ron(X0,sK12(X2,X1))
| rR(sK1,X0,X1)
| sK1 = X0
| sK1 = X1
| X1 = X2
| ~ rpoint(X2) )
| ~ spl54_992 ),
inference(duplicate_literal_removal,[],[f20334]) ).
fof(f20375,plain,
( ! [X2,X0,X1] :
( ~ ron(X0,sK12(X2,X1))
| ~ rpoint(X1)
| vangle(sK3,sK1,X0) = vangle(vd1378,sK1,X1)
| ~ rpoint(X0)
| rR(sK1,X0,X1)
| sK1 = X0
| sK1 = X1
| X1 = X2
| ~ rpoint(X2) )
| ~ spl54_992 ),
inference(forward_subsumption_resolution,[],[f20370,f982]) ).
fof(f20387,plain,
( ! [X0,X1] :
( ~ rpoint(X0)
| vangle(vd1378,sK1,X0) = vangle(sK3,sK1,X0)
| ~ rpoint(X0)
| rR(sK1,X0,X0)
| sK1 = X0
| sK1 = X0
| X0 = X1
| ~ rpoint(X1)
| X0 = X1
| ~ rpoint(X0)
| ~ rpoint(X1) )
| ~ spl54_992 ),
inference(resolution,[],[f20375,f978]) ).
fof(f20403,plain,
( ! [X0,X1] :
( ~ rpoint(X1)
| vangle(vd1378,sK1,X0) = vangle(sK3,sK1,X0)
| rR(sK1,X0,X0)
| sK1 = X0
| X0 = X1
| ~ rpoint(X0) )
| ~ spl54_992 ),
inference(duplicate_literal_removal,[],[f20387]) ).
fof(f20517,plain,
( $false
| spl54_911
| spl54_912 ),
inference(forward_subsumption_resolution,[],[f19232,f16893]) ).
fof(f20518,plain,
( spl54_911
| spl54_912 ),
inference(avatar_contradiction_clause,[],[f20517]) ).
fof(f20521,plain,
( $false
| spl54_912
| spl54_948 ),
inference(forward_subsumption_resolution,[],[f19244,f16893]) ).
fof(f20522,plain,
( spl54_912
| spl54_948 ),
inference(avatar_contradiction_clause,[],[f20521]) ).
fof(f20656,plain,
( $false
| ~ spl54_912
| ~ spl54_919 ),
inference(forward_subsumption_resolution,[],[f18743,f16923]) ).
fof(f20657,plain,
( ~ spl54_912
| ~ spl54_919 ),
inference(avatar_contradiction_clause,[],[f20656]) ).
fof(f21218,plain,
( ! [X0] :
( vangle(vd1378,sK1,X0) = vangle(sK3,sK1,X0)
| rR(sK1,X0,X0)
| sK1 = X0
| sK1 = X0
| ~ rpoint(X0) )
| ~ spl54_992 ),
inference(resolution,[],[f20403,f438]) ).
fof(f21221,plain,
( ! [X0] :
( rR(sK1,X0,X0)
| vangle(vd1378,sK1,X0) = vangle(sK3,sK1,X0)
| sK1 = X0
| ~ rpoint(X0) )
| ~ spl54_992 ),
inference(duplicate_literal_removal,[],[f21218]) ).
fof(f21222,plain,
( vangle(vd1378,sK1,sK2) = vangle(sK3,sK1,sK2)
| sK1 = sK2
| ~ rpoint(sK2)
| spl54_972
| ~ spl54_992 ),
inference(resolution,[],[f21221,f19616]) ).
fof(f21249,plain,
( vangle(vd1378,sK1,sK2) = vangle(sK3,sK1,sK2)
| ~ rpoint(sK2)
| spl54_972
| ~ spl54_992 ),
inference(forward_subsumption_resolution,[],[f21222,f703]) ).
fof(f21250,plain,
( vangle(vd1378,sK1,sK2) = vangle(sK3,sK1,sK2)
| spl54_972
| ~ spl54_992 ),
inference(forward_subsumption_resolution,[],[f21249,f445]) ).
fof(f21251,plain,
( vangle(vd1378,sK1,sK2) = sF53
| spl54_972
| ~ spl54_992 ),
inference(forward_demodulation,[],[f21250,f1553]) ).
fof(f21252,plain,
( vd684 = vangle(vd1378,sK1,sK2)
| ~ spl54_912
| spl54_972
| ~ spl54_992 ),
inference(forward_demodulation,[],[f21251,f16892]) ).
fof(f21253,plain,
( vd684 = sF52
| ~ spl54_912
| spl54_972
| ~ spl54_992 ),
inference(forward_demodulation,[],[f21252,f1499]) ).
fof(f21254,plain,
( $false
| ~ spl54_912
| spl54_919
| spl54_972
| ~ spl54_992 ),
inference(forward_subsumption_resolution,[],[f21253,f16924]) ).
fof(f21255,plain,
( ~ spl54_912
| spl54_919
| spl54_972
| ~ spl54_992 ),
inference(avatar_contradiction_clause,[],[f21254]) ).
fof(f23281,plain,
( ~ rpoint(sK2)
| ~ rpoint(sK1)
| ~ spl54_972 ),
inference(resolution,[],[f19615,f1504]) ).
fof(f23290,plain,
( ~ rpoint(sK1)
| ~ spl54_972 ),
inference(forward_subsumption_resolution,[],[f23281,f445]) ).
fof(f23296,plain,
( $false
| ~ spl54_972 ),
inference(forward_subsumption_resolution,[],[f23290,f438]) ).
fof(f23297,plain,
~ spl54_972,
inference(avatar_contradiction_clause,[],[f23296]) ).
cnf(s21,plain,
( ~ spl54_13
| spl54_14 ),
inference(sat_conversion,[],[f1629]) ).
cnf(s22,plain,
~ spl54_14,
inference(sat_conversion,[],[f1639]) ).
cnf(s910,plain,
( ~ spl54_911
| ~ spl54_948 ),
inference(sat_conversion,[],[f19095]) ).
cnf(s935,plain,
( spl54_13
| spl54_991
| spl54_992 ),
inference(sat_conversion,[],[f20017]) ).
cnf(s968,plain,
~ spl54_991,
inference(sat_conversion,[],[f20321]) ).
cnf(s980,plain,
( spl54_911
| spl54_912 ),
inference(sat_conversion,[],[f20518]) ).
cnf(s982,plain,
( spl54_912
| spl54_948 ),
inference(sat_conversion,[],[f20522]) ).
cnf(s1004,plain,
( ~ spl54_912
| ~ spl54_919 ),
inference(sat_conversion,[],[f20657]) ).
cnf(s1029,plain,
( ~ spl54_912
| spl54_919
| spl54_972
| ~ spl54_992 ),
inference(sat_conversion,[],[f21255]) ).
cnf(s1068,plain,
~ spl54_972,
inference(sat_conversion,[],[f23297]) ).
cnf(s1070,plain,
( ~ spl54_912
| spl54_919
| ~ spl54_992 ),
inference(rat,[],[s1029,s1068]) ).
cnf(s1071,plain,
( spl54_13
| spl54_992 ),
inference(rat,[],[s935,s968]) ).
cnf(s1173,plain,
~ spl54_13,
inference(rat,[],[s21,s22]) ).
cnf(s1174,plain,
spl54_992,
inference(rat,[],[s1071,s1173]) ).
cnf(s1220,plain,
spl54_912,
inference(rat,[],[s910,s980,s982]) ).
cnf(s1221,plain,
spl54_919,
inference(rat,[],[s1070,s1174,s1220]) ).
cnf(s1222,plain,
$false,
inference(rat,[],[s1004,s1221,s1220]) ).
fof(f23308,plain,
$false,
inference(avatar_sat_refutation,[],[s1222]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GEO337+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n001.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Sun Sep 27 08:14:01 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.50 Running first-order theorem proving
% 0.23/0.50 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.42/4.36 % (3235277)Detected formulas, will run a generic FOF schedule.
% 23.42/4.36 % (3235288)dis-21_1_sil=8000:lcm=predicate:random_seed=2233575182: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)
% 23.42/4.36 % (3235288)Instruction limit reached!
% 23.42/4.36 % (3235288)------------------------------
% 23.42/4.36 % (3235288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.42/4.36 % (3235288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.42/4.36 % (3235288)CaDiCaL version: 2.1.3
% 23.42/4.36 % (3235288)Termination reason: Instruction limit
% 23.42/4.36 % (3235288)Termination phase: Saturation
% 23.42/4.36 % (3235288)Time elapsed: 0.046 s
% 23.42/4.36 % (3235288)Peak memory usage: 89 MB
% 23.42/4.36 % (3235288)Instructions burned: 129 (million)
% 23.42/4.36 % (3235284)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=1492335923:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 23.42/4.36 % (3235283)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=750360237:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 23.42/4.36 % (3235287)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1995441330:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 23.42/4.36 % (3235286)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3488797194:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 23.42/4.36 % (3235285)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3332162536:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 23.42/4.36 % (3235282)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=2780092154:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 23.42/4.36 % (3235285)Instruction limit reached!
% 23.42/4.36 % (3235285)------------------------------
% 23.42/4.36 % (3235285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.42/4.36 % (3235285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.42/4.36 % (3235285)CaDiCaL version: 2.1.3
% 23.42/4.36 % (3235285)Termination reason: Instruction limit
% 23.42/4.36 % (3235285)Termination phase: Saturation
% 23.42/4.36 % (3235285)Time elapsed: 0.095 s
% 23.42/4.36 % (3235285)Peak memory usage: 89 MB
% 23.42/4.36 % (3235285)Instructions burned: 109 (million)
% 23.42/4.36 % (3235286)Instruction limit reached!
% 23.42/4.36 % (3235286)------------------------------
% 23.42/4.36 % (3235286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.42/4.36 % (3235286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.42/4.36 % (3235286)CaDiCaL version: 2.1.3
% 23.42/4.36 % (3235286)Termination reason: Instruction limit
% 23.42/4.36 % (3235286)Termination phase: Saturation
% 23.42/4.36 % (3235286)Time elapsed: 0.097 s
% 23.42/4.36 % (3235286)Peak memory usage: 88 MB
% 23.42/4.36 % (3235286)Instructions burned: 119 (million)
% 23.42/4.36 % (3235287)Instruction limit reached!
% 23.42/4.36 % (3235287)------------------------------
% 23.42/4.36 % (3235287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.42/4.36 % (3235287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.42/4.36 % (3235287)CaDiCaL version: 2.1.3
% 23.42/4.36 % (3235287)Termination reason: Instruction limit
% 23.42/4.36 % (3235287)Termination phase: Saturation
% 23.42/4.36 % (3235287)Time elapsed: 0.112 s
% 23.42/4.36 % (3235287)Peak memory usage: 90 MB
% 23.42/4.36 % (3235287)Instructions burned: 139 (million)
% 23.42/4.36 % (3235296)lrs+10_1_sil=8000:sp=occurrence:random_seed=3696933264:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 23.42/4.36 % (3235299)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3311387530:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 23.42/4.36 % (3235296)Instruction limit reached!
% 23.42/4.36 % (3235296)------------------------------
% 23.42/4.36 % (3235296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.42/4.36 % (3235296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.42/4.36 % (3235296)CaDiCaL version: 2.1.3
% 23.42/4.36 % (3235296)Termination reason: Instruction limit
% 23.42/4.36 % (3235296)Termination phase: Saturation
% 28.56/5.84 % (3235296)Time elapsed: 0.130 s
% 28.56/5.84 % (3235296)Peak memory usage: 92 MB
% 28.56/5.84 % (3235296)Instructions burned: 288 (million)
% 28.56/5.84 % (3235300)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3507559958:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 28.56/5.84 % (3235301)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=447340173:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 28.56/5.84 % (3235299)Instruction limit reached!
% 28.56/5.84 % (3235299)------------------------------
% 28.56/5.84 % (3235299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235299)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235299)Termination reason: Instruction limit
% 28.56/5.84 % (3235299)Termination phase: Saturation
% 28.56/5.84 % (3235299)Time elapsed: 0.128 s
% 28.56/5.84 % (3235299)Peak memory usage: 91 MB
% 28.56/5.84 % (3235299)Instructions burned: 157 (million)
% 28.56/5.84 % (3235306)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2991076162:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 28.56/5.84 % (3235301)Instruction limit reached!
% 28.56/5.84 % (3235301)------------------------------
% 28.56/5.84 % (3235301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235301)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235301)Termination reason: Instruction limit
% 28.56/5.84 % (3235301)Termination phase: Saturation
% 28.56/5.84 % (3235301)Time elapsed: 0.202 s
% 28.56/5.84 % (3235301)Peak memory usage: 92 MB
% 28.56/5.84 % (3235301)Instructions burned: 248 (million)
% 28.56/5.84 % (3235310)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4102252549:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 28.56/5.84 % (3235300)Instruction limit reached!
% 28.56/5.84 % (3235300)------------------------------
% 28.56/5.84 % (3235300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235300)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235300)Termination reason: Instruction limit
% 28.56/5.84 % (3235300)Termination phase: Saturation
% 28.56/5.84 % (3235300)Time elapsed: 0.297 s
% 28.56/5.84 % (3235300)Peak memory usage: 91 MB
% 28.56/5.84 % (3235300)Instructions burned: 326 (million)
% 28.56/5.84 % (3235306)Instruction limit reached!
% 28.56/5.84 % (3235306)------------------------------
% 28.56/5.84 % (3235306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235306)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235306)Termination reason: Instruction limit
% 28.56/5.84 % (3235306)Termination phase: Saturation
% 28.56/5.84 % (3235306)Time elapsed: 0.116 s
% 28.56/5.84 % (3235306)Peak memory usage: 89 MB
% 28.56/5.84 % (3235306)Instructions burned: 294 (million)
% 28.56/5.84 % (3235313)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2809273154:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 28.56/5.84 % (3235316)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=796794221:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 28.56/5.84 % (3235316)Instruction limit reached!
% 28.56/5.84 % (3235316)------------------------------
% 28.56/5.84 % (3235316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235316)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235316)Termination reason: Instruction limit
% 28.56/5.84 % (3235316)Termination phase: Saturation
% 28.56/5.84 % (3235316)Time elapsed: 0.040 s
% 28.56/5.84 % (3235316)Peak memory usage: 89 MB
% 28.56/5.84 % (3235316)Instructions burned: 115 (million)
% 28.56/5.84 % (3235315)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=936958405:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 28.56/5.84 % (3235313)Instruction limit reached!
% 28.56/5.84 % (3235313)------------------------------
% 28.56/5.84 % (3235313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235313)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235313)Termination reason: Instruction limit
% 28.56/5.84 % (3235313)Termination phase: Saturation
% 28.56/5.84 % (3235313)Time elapsed: 0.104 s
% 28.56/5.84 % (3235313)Peak memory usage: 90 MB
% 28.56/5.84 % (3235313)Instructions burned: 113 (million)
% 28.56/5.84 % (3235315)Refutation not found, incomplete strategy
% 28.56/5.84 % (3235315)------------------------------
% 28.56/5.84 % (3235315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235315)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235315)Termination reason: Refutation not found, incomplete strategy
% 28.56/5.84 % (3235315)Time elapsed: 0.041 s
% 28.56/5.84 % (3235315)Peak memory usage: 89 MB
% 28.56/5.84 % (3235315)Instructions burned: 47 (million)
% 28.56/5.84 % (3235321)lrs+10_1_sil=8000:sp=occurrence:random_seed=2924342665:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 28.56/5.84 % (3235323)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3777999763:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 28.56/5.84 % (3235323)Refutation not found, incomplete strategy
% 28.56/5.84 % (3235323)------------------------------
% 28.56/5.84 % (3235323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235323)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235323)Termination reason: Refutation not found, incomplete strategy
% 28.56/5.84 % (3235323)Time elapsed: 0.030 s
% 28.56/5.84 % (3235323)Peak memory usage: 89 MB
% 28.56/5.84 % (3235323)Instructions burned: 32 (million)
% 28.56/5.84 % (3235315)------------------------------
% 28.56/5.84 % (3235315)------------------------------
% 28.56/5.84 % (3235323)------------------------------
% 28.56/5.84 % (3235323)------------------------------
% 28.56/5.84 % (3235332)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3220791908:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 28.56/5.84 % (3235334)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=742456910:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2980 on theBenchmark for (2980ds/134Mi)
% 28.56/5.84 % (3235321)Instruction limit reached!
% 28.56/5.84 % (3235321)------------------------------
% 28.56/5.84 % (3235321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235321)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235321)Termination reason: Instruction limit
% 28.56/5.84 % (3235321)Termination phase: Saturation
% 28.56/5.84 % (3235321)Time elapsed: 0.845 s
% 28.56/5.84 % (3235321)Peak memory usage: 98 MB
% 28.56/5.84 % (3235321)Instructions burned: 908 (million)
% 28.56/5.84 % (3235334)Instruction limit reached!
% 28.56/5.84 % (3235334)------------------------------
% 28.56/5.84 % (3235334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235334)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235334)Termination reason: Instruction limit
% 28.56/5.84 % (3235334)Termination phase: Saturation
% 28.56/5.84 % (3235334)Time elapsed: 0.110 s
% 28.56/5.84 % (3235334)Peak memory usage: 92 MB
% 28.56/5.84 % (3235334)Instructions burned: 135 (million)
% 28.56/5.84 % (3235337)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3376626875:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 28.56/5.84 % (3235336)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1838855721:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 28.56/5.84 % (3235336)Instruction limit reached!
% 28.56/5.84 % (3235336)------------------------------
% 28.56/5.84 % (3235336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235336)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235336)Termination reason: Instruction limit
% 28.56/5.84 % (3235336)Termination phase: Saturation
% 28.56/5.84 % (3235336)Time elapsed: 0.530 s
% 28.56/5.84 % (3235336)Peak memory usage: 94 MB
% 28.56/5.84 % (3235336)Instructions burned: 593 (million)
% 28.56/5.84 % (3235310)Instruction limit reached!
% 28.56/5.84 % (3235310)------------------------------
% 28.56/5.84 % (3235310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235310)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235310)Termination reason: Instruction limit
% 28.56/5.84 % (3235310)Termination phase: Saturation
% 28.56/5.84 % (3235310)Time elapsed: 2.396 s
% 28.56/5.84 % (3235310)Peak memory usage: 141 MB
% 28.56/5.84 % (3235310)Instructions burned: 2351 (million)
% 28.56/5.84 % (3235344)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=2412799563:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2968 on theBenchmark for (2968ds/125Mi)
% 28.56/5.84 % (3235344)Instruction limit reached!
% 28.56/5.84 % (3235344)------------------------------
% 28.56/5.84 % (3235344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235344)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235344)Termination reason: Instruction limit
% 28.56/5.84 % (3235344)Termination phase: Saturation
% 28.56/5.84 % (3235344)Time elapsed: 0.107 s
% 28.56/5.84 % (3235344)Peak memory usage: 91 MB
% 28.56/5.84 % (3235344)Instructions burned: 126 (million)
% 28.56/5.84 % (3235345)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=434084899:i=134:gtgl=5:slsql=off:gtg=exists_sym_2966 on theBenchmark for (2966ds/134Mi)
% 28.56/5.84 % (3235345)Instruction limit reached!
% 28.56/5.84 % (3235345)------------------------------
% 28.56/5.84 % (3235345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235345)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235345)Termination reason: Instruction limit
% 28.56/5.84 % (3235345)Termination phase: Saturation
% 28.56/5.84 % (3235345)Time elapsed: 0.132 s
% 28.56/5.84 % (3235345)Peak memory usage: 91 MB
% 28.56/5.84 % (3235345)Instructions burned: 134 (million)
% 28.56/5.84 % (3235347)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3274216935:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2964 on theBenchmark for (2964ds/141Mi)
% 28.56/5.84 % (3235347)Refutation not found, incomplete strategy
% 28.56/5.84 % (3235347)------------------------------
% 28.56/5.84 % (3235347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235347)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235347)Termination reason: Refutation not found, incomplete strategy
% 28.56/5.84 % (3235347)Time elapsed: 0.023 s
% 28.56/5.84 % (3235347)Peak memory usage: 89 MB
% 28.56/5.84 % (3235347)Instructions burned: 26 (million)
% 28.56/5.84 % (3235349)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=624516716:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2962 on theBenchmark for (2962ds/431Mi)
% 28.56/5.84 % (3235349)Refutation not found, incomplete strategy
% 28.56/5.84 % (3235349)------------------------------
% 28.56/5.84 % (3235349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.56/5.84 % (3235349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.56/5.84 % (3235349)CaDiCaL version: 2.1.3
% 28.56/5.84 % (3235349)Termination reason: Refutation not found, incomplete strategy
% 28.56/5.84 % (3235349)Time elapsed: 0.012 s
% 28.56/5.84 % (3235349)Peak memory usage: 88 MB
% 28.56/5.84 % (3235349)Instructions burned: 11 (million)
% 28.56/5.84 % (3235347)------------------------------
% 28.56/5.84 % (3235347)------------------------------
% 28.56/5.84 % (3235282)First to succeed.
% 28.56/5.84 % (3235282)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3235277"
% 28.56/5.84 % (3235349)------------------------------
% 28.56/5.84 % (3235349)------------------------------
% 28.56/5.84 % (3235356)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=2527688475:i=6060:aac=none:ins=25_2956 on theBenchmark for (2956ds/6060Mi)
% 28.56/5.84 % (3235357)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=957878981:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2956 on theBenchmark for (2956ds/150Mi)
% 28.56/5.84 % (3235282)Refutation found. Thanks to Tanya!
% 28.56/5.84 % SZS status Theorem for theBenchmark
% 28.56/5.84 % SZS output start Proof for theBenchmark
% See solution above
% 34.61/6.06 % (3235282)------------------------------
% 34.61/6.06 % (3235282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.61/6.06 % (3235282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.61/6.06 % (3235282)CaDiCaL version: 2.1.3
% 34.61/6.06 % (3235282)Termination reason: Refutation
% 34.61/6.06 % (3235282)Time elapsed: 4.082 s
% 34.61/6.06 % (3235282)Peak memory usage: 154 MB
% 34.61/6.06 % (3235282)Instructions burned: 4453 (million)
% 34.61/6.06 % (3235282)------------------------------
% 34.61/6.06 % (3235282)------------------------------
% 34.61/6.06 % (3235277)Success in time 4.782 s
% 34.61/6.06 % Vampire exiting
%------------------------------------------------------------------------------