%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO347+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 : 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 09:52:33 AM UTC 2026
% Result : ContradictoryAxioms 21.50s 3.85s
% Output : Refutation 22.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 17
% Syntax : Number of formulae : 170 ( 42 unt; 6 def)
% Number of atoms : 1199 ( 425 equ)
% Maximal formula atoms : 26 ( 7 avg)
% Number of connectives : 1786 ( 757 ~; 903 |; 111 &)
% ( 9 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 10 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-3 aty)
% Number of variables : 484 ( 0 sgn 462 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
rpoint(vd1409),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(406, 0)') ).
fof(f11,axiom,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& ? [X0] :
( vd1401 = X0
& rpoint(X0) )
& ? [X1] :
( vd1400 = X1
& rpoint(X1) )
& ? [X2] :
( vd1399 = X2
& rpoint(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof(f12,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f15,axiom,
( ron(vd1399,vskolem1416)
& ron(vd1401,vskolem1416)
& rline(vskolem1416) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','replace(replace(and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))))') ).
fof(f16,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(f20,axiom,
rS(vd1401,vd1409,vd1406),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(406), 1410, 0)') ).
fof(f49,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/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(85), 0), imp(cond(axiom(85), 0)))') ).
fof(f50,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(f58,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(f67,axiom,
! [X0,X1,X2,X3] :
( ( rS(X0,X1,X2)
& X2 = X3
& rline(X3)
& ? [X4] :
( X1 = X4
& rpoint(X4) )
& ? [X5] :
( X0 = X5
& rpoint(X5) ) )
=> ~ ron(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(99), 0), imp(cond(axiom(99), 0)))') ).
fof(f78,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f139,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,[],[f12]) ).
fof(f140,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,[],[f139]) ).
fof(f143,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,[],[f16]) ).
fof(f144,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,[],[f143]) ).
fof(f201,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,[],[f49]) ).
fof(f202,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,[],[f201]) ).
fof(f203,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,[],[f50]) ).
fof(f204,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,[],[f203]) ).
fof(f219,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,[],[f58]) ).
fof(f220,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,[],[f219]) ).
fof(f237,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f238,plain,
! [X0,X1,X2,X3] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| ! [X4] :
( X1 != X4
| ~ rpoint(X4) )
| ! [X5] :
( X0 != X5
| ~ rpoint(X5) ) ),
inference(flattening,[],[f237]) ).
fof(f367,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& vd1401 = sK1
& rpoint(sK1)
& vd1400 = sK2
& rpoint(sK2)
& vd1399 = sK3
& rpoint(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3)],[f11]) ).
fof(f368,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,[],[f144]) ).
fof(f369,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,[],[f368]) ).
fof(f455,plain,
rpoint(vd1409),
inference(cnf_transformation,[],[f10]) ).
fof(f456,plain,
rpoint(sK3),
inference(cnf_transformation,[],[f367]) ).
fof(f457,plain,
vd1399 = sK3,
inference(cnf_transformation,[],[f367]) ).
fof(f458,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f367]) ).
fof(f459,plain,
vd1400 = sK2,
inference(cnf_transformation,[],[f367]) ).
fof(f460,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f367]) ).
fof(f461,plain,
vd1401 = sK1,
inference(cnf_transformation,[],[f367]) ).
fof(f462,plain,
vd1400 != vd1399,
inference(cnf_transformation,[],[f367]) ).
fof(f463,plain,
vd1401 != vd1399,
inference(cnf_transformation,[],[f367]) ).
fof(f464,plain,
vd1401 != vd1400,
inference(cnf_transformation,[],[f367]) ).
fof(f465,plain,
rline(vd1407),
inference(cnf_transformation,[],[f367]) ).
fof(f466,plain,
ron(vd1399,vd1406),
inference(cnf_transformation,[],[f367]) ).
fof(f467,plain,
ron(vd1400,vd1406),
inference(cnf_transformation,[],[f367]) ).
fof(f468,plain,
vd1406 = vd1407,
inference(cnf_transformation,[],[f367]) ).
fof(f469,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,[],[f140]) ).
fof(f472,plain,
rline(vskolem1416),
inference(cnf_transformation,[],[f15]) ).
fof(f473,plain,
ron(vd1401,vskolem1416),
inference(cnf_transformation,[],[f15]) ).
fof(f474,plain,
ron(vd1399,vskolem1416),
inference(cnf_transformation,[],[f15]) ).
fof(f475,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,[],[f369]) ).
fof(f476,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( 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(cnf_transformation,[],[f369]) ).
fof(f483,plain,
rS(vd1401,vd1409,vd1406),
inference(cnf_transformation,[],[f20]) ).
fof(f533,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,[],[f202]) ).
fof(f536,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,[],[f204]) ).
fof(f570,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,[],[f220]) ).
fof(f585,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X0,X2)
| ~ rS(X0,X1,X2)
| X2 != X3
| ~ rline(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(cnf_transformation,[],[f238]) ).
fof(f608,plain,
v0 = vd684,
inference(cnf_transformation,[],[f78]) ).
fof(f741,plain,
ron(sK2,vd1407),
inference(definition_unfolding,[],[f467,f459,f468]) ).
fof(f742,plain,
ron(sK3,vd1407),
inference(definition_unfolding,[],[f466,f457,f468]) ).
fof(f743,plain,
sK1 != sK2,
inference(definition_unfolding,[],[f464,f461,f459]) ).
fof(f744,plain,
sK1 != sK3,
inference(definition_unfolding,[],[f463,f461,f457]) ).
fof(f745,plain,
sK2 != sK3,
inference(definition_unfolding,[],[f462,f459,f457]) ).
fof(f747,plain,
ron(sK3,vskolem1416),
inference(definition_unfolding,[],[f474,f457]) ).
fof(f748,plain,
ron(sK1,vskolem1416),
inference(definition_unfolding,[],[f473,f461]) ).
fof(f750,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| vangle(X2,X0,X4) != vd684
| ~ 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,[],[f476,f608]) ).
fof(f751,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,[],[f475,f608]) ).
fof(f754,plain,
rS(sK1,vd1409,vd1407),
inference(definition_unfolding,[],[f483,f461,f468]) ).
fof(f783,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,[],[f469]) ).
fof(f784,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,[],[f783]) ).
fof(f785,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,[],[f784]) ).
fof(f786,plain,
! [X6,X7,X4,X5] :
( ~ rline(X5)
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| ~ ron(X7,X5)
| ~ rline(X4)
| X4 = X5
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f785]) ).
fof(f791,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( ron(X4,X7)
| vangle(X2,X0,X4) != vd684
| ~ 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,[],[f750]) ).
fof(f792,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,[],[f791]) ).
fof(f793,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,[],[f792]) ).
fof(f794,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,[],[f793]) ).
fof(f795,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,[],[f751]) ).
fof(f796,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,[],[f795]) ).
fof(f797,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,[],[f796]) ).
fof(f798,plain,
! [X3,X1,X7,X5] :
( ~ rline(X7)
| rR(X1,X3,X5)
| ~ ron(X5,X7)
| ~ ron(X3,X7)
| ~ ron(X1,X7)
| X1 = X5
| X1 = X3
| vd684 = vangle(X3,X1,X5)
| ~ rpoint(X5)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(equality_resolution,[],[f797]) ).
fof(f971,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,[],[f533]) ).
fof(f972,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,[],[f971]) ).
fof(f973,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,[],[f972]) ).
fof(f974,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,[],[f973]) ).
fof(f978,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,[],[f536]) ).
fof(f979,plain,
! [X3,X1,X4,X5] :
( ~ rR(X1,X3,X3)
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f978]) ).
fof(f980,plain,
! [X3,X4,X5] :
( ~ rR(X4,X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X4)
| X3 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f979]) ).
fof(f981,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f980]) ).
fof(f1066,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,[],[f570]) ).
fof(f1067,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,[],[f1066]) ).
fof(f1068,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,[],[f1067]) ).
fof(f1069,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,[],[f1068]) ).
fof(f1070,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,[],[f1069]) ).
fof(f1071,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,[],[f1070]) ).
fof(f1072,plain,
! [X10,X11,X8,X9,X7,X12,X13] :
( ~ rline(X7)
| 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)
| ~ ron(X13,X8)
| vangle(X10,X13,X9) = vangle(X12,X13,X11)
| ~ rline(X8)
| ~ rpoint(X9)
| ~ rpoint(X10)
| ~ rpoint(X11)
| ~ rpoint(X12)
| ~ rpoint(X13) ),
inference(equality_resolution,[],[f1071]) ).
fof(f1109,plain,
! [X3,X0,X1,X4,X5] :
( ~ ron(X0,X3)
| ~ rS(X0,X1,X3)
| ~ rline(X3)
| X1 != X4
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f585]) ).
fof(f1110,plain,
! [X3,X0,X4,X5] :
( ~ ron(X0,X3)
| ~ rS(X0,X4,X3)
| ~ rline(X3)
| ~ rpoint(X4)
| X0 != X5
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1109]) ).
fof(f1111,plain,
! [X3,X4,X5] :
( ~ rS(X5,X4,X3)
| ~ ron(X5,X3)
| ~ rline(X3)
| ~ rpoint(X4)
| ~ rpoint(X5) ),
inference(equality_resolution,[],[f1110]) ).
fof(f1573,plain,
! [X4,X5] :
( ~ rR(X4,X5,X5)
| ~ rpoint(X5)
| ~ rpoint(X4) ),
inference(duplicate_literal_removal,[],[f981]) ).
fof(f1630,plain,
! [X2,X0,X1] :
( rR(X0,X1,X2)
| ~ ron(X2,vskolem1416)
| ~ ron(X1,vskolem1416)
| ~ ron(X0,vskolem1416)
| X0 = X2
| X0 = X1
| vangle(X1,X0,X2) = vd684
| ~ rpoint(X2)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f798,f472]) ).
fof(f1659,plain,
! [X2,X0,X1] :
( ~ ron(X2,vd1407)
| ~ ron(X0,vd1407)
| ~ ron(X2,X1)
| ~ ron(X0,X1)
| ~ rline(X1)
| vd1407 = X1
| X0 = X2
| ~ rpoint(X0)
| ~ rpoint(X2) ),
inference(resolution,[],[f786,f465]) ).
fof(f2329,plain,
! [X0,X1] :
( ~ rpoint(X0)
| ~ rpoint(X1)
| ~ ron(X0,vskolem1416)
| ~ ron(X0,vskolem1416)
| ~ ron(X1,vskolem1416)
| X0 = X1
| X0 = X1
| vd684 = vangle(X0,X1,X0)
| ~ rpoint(X0)
| ~ rpoint(X0)
| ~ rpoint(X1) ),
inference(resolution,[],[f1573,f1630]) ).
fof(f2332,plain,
! [X0,X1] :
( ~ ron(X1,vskolem1416)
| ~ rpoint(X1)
| ~ ron(X0,vskolem1416)
| ~ rpoint(X0)
| X0 = X1
| vd684 = vangle(X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f2329]) ).
fof(f2342,plain,
! [X0] :
( ~ rpoint(sK1)
| ~ ron(X0,vskolem1416)
| ~ rpoint(X0)
| sK1 = X0
| vd684 = vangle(X0,sK1,X0) ),
inference(resolution,[],[f2332,f748]) ).
fof(f2345,plain,
! [X0] :
( ~ ron(X0,vskolem1416)
| ~ rpoint(X0)
| sK1 = X0
| vd684 = vangle(X0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f2342,f460]) ).
fof(f2355,plain,
( ~ rpoint(sK3)
| sK1 = sK3
| vd684 = vangle(sK3,sK1,sK3) ),
inference(resolution,[],[f2345,f747]) ).
fof(f2356,plain,
( sK1 = sK3
| vd684 = vangle(sK3,sK1,sK3) ),
inference(forward_subsumption_resolution,[],[f2355,f456]) ).
fof(f2357,plain,
vd684 = vangle(sK3,sK1,sK3),
inference(forward_subsumption_resolution,[],[f2356,f744]) ).
fof(f2477,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ron(X2,vd1407)
| rR(X0,X3,X4)
| X0 = X2
| X0 = X4
| X0 = X1
| X0 = X3
| rR(X0,X1,X2)
| ~ ron(X1,vd1407)
| ~ ron(X4,X5)
| ~ ron(X3,X5)
| ~ ron(X0,X5)
| vangle(X4,X0,X2) = vangle(X3,X0,X1)
| ~ rline(X5)
| ~ rpoint(X2)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rpoint(X3)
| ~ rpoint(X0) ),
inference(resolution,[],[f1072,f465]) ).
fof(f3920,plain,
( ~ ron(sK1,vd1407)
| ~ rline(vd1407)
| ~ rpoint(vd1409)
| ~ rpoint(sK1) ),
inference(resolution,[],[f1111,f754]) ).
fof(f31939,plain,
( ~ ron(sK1,vd1407)
| ~ rpoint(vd1409)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f3920,f465]) ).
fof(f31969,definition,
( spl55_2170
<=> ron(sK1,vd1407) ),
introduced(definition,[new_symbols(definition,[spl55_2170])],[avatar_definition]) ).
fof(f31970,plain,
( ~ ron(sK1,vd1407)
| spl55_2170 ),
inference(avatar_component_clause,[],[f31969]) ).
fof(f31972,definition,
( spl55_2171
<=> vd1407 = vskolem1416 ),
introduced(definition,[new_symbols(definition,[spl55_2171])],[avatar_definition]) ).
fof(f31973,plain,
( vd1407 = vskolem1416
| ~ spl55_2171 ),
inference(avatar_component_clause,[],[f31972]) ).
fof(f32001,plain,
( ~ ron(sK1,vd1407)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f31939,f455]) ).
fof(f32038,plain,
~ ron(sK1,vd1407),
inference(forward_subsumption_resolution,[],[f32001,f460]) ).
fof(f32068,plain,
~ spl55_2170,
inference(avatar_split_clause,[],[f32038,f31969]) ).
fof(f32183,definition,
( spl55_2201
<=> vd684 = vangle(sK3,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl55_2201])],[avatar_definition]) ).
fof(f32221,plain,
! [X0,X1] :
( ~ ron(X0,vd1407)
| ~ ron(sK2,X1)
| ~ ron(X0,X1)
| ~ rline(X1)
| vd1407 = X1
| sK2 = X0
| ~ rpoint(X0)
| ~ rpoint(sK2) ),
inference(resolution,[],[f1659,f741]) ).
fof(f32224,plain,
! [X0,X1] :
( ~ ron(X0,vd1407)
| ~ ron(sK2,X1)
| ~ ron(X0,X1)
| ~ rline(X1)
| vd1407 = X1
| sK2 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f32221,f458]) ).
fof(f32237,plain,
! [X2,X3,X0,X1,X4] :
( rR(X0,X1,X2)
| sK2 = X0
| X0 = X2
| X0 = X3
| X0 = X1
| rR(X0,X3,sK2)
| ~ ron(X3,vd1407)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| vangle(X1,X0,X3) = vangle(X2,X0,sK2)
| ~ rline(X4)
| ~ rpoint(sK2)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f2477,f741]) ).
fof(f32240,plain,
! [X2,X3,X0,X1,X4] :
( ~ ron(X3,vd1407)
| sK2 = X0
| X0 = X2
| X0 = X3
| X0 = X1
| rR(X0,X3,sK2)
| rR(X0,X1,X2)
| ~ ron(X2,X4)
| ~ ron(X1,X4)
| ~ ron(X0,X4)
| vangle(X1,X0,X3) = vangle(X2,X0,sK2)
| ~ rline(X4)
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f32237,f458]) ).
fof(f32293,plain,
! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| vd1407 = X0
| sK2 = sK3
| ~ rpoint(sK3) ),
inference(resolution,[],[f32224,f742]) ).
fof(f32295,plain,
! [X0] :
( ~ ron(sK2,X0)
| ~ ron(sK3,X0)
| ~ rline(X0)
| vd1407 = X0
| ~ rpoint(sK3) ),
inference(forward_subsumption_resolution,[],[f32293,f745]) ).
fof(f32296,plain,
! [X0] :
( ~ rline(X0)
| ~ ron(sK3,X0)
| ~ ron(sK2,X0)
| vd1407 = X0 ),
inference(forward_subsumption_resolution,[],[f32295,f456]) ).
fof(f32299,plain,
( ~ ron(sK3,vskolem1416)
| ~ ron(sK2,vskolem1416)
| vd1407 = vskolem1416 ),
inference(resolution,[],[f32296,f472]) ).
fof(f32301,plain,
( ~ ron(sK2,vskolem1416)
| vd1407 = vskolem1416 ),
inference(forward_subsumption_resolution,[],[f32299,f747]) ).
fof(f32313,definition,
( spl55_2212
<=> ron(sK2,vskolem1416) ),
introduced(definition,[new_symbols(definition,[spl55_2212])],[avatar_definition]) ).
fof(f32314,plain,
( ~ ron(sK2,vskolem1416)
| spl55_2212 ),
inference(avatar_component_clause,[],[f32313]) ).
fof(f32315,plain,
( spl55_2171
| ~ spl55_2212 ),
inference(avatar_split_clause,[],[f32301,f32313,f31972]) ).
fof(f32326,plain,
! [X2,X3,X0,X1] :
( sK2 = X0
| X0 = X1
| sK3 = X0
| X0 = X2
| rR(X0,sK3,sK2)
| rR(X0,X2,X1)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| vangle(X1,X0,sK2) = vangle(X2,X0,sK3)
| ~ rline(X3)
| ~ rpoint(X1)
| ~ rpoint(sK3)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f32240,f742]) ).
fof(f32328,plain,
! [X2,X3,X0,X1] :
( ~ rline(X3)
| X0 = X1
| sK3 = X0
| X0 = X2
| rR(X0,sK3,sK2)
| rR(X0,X2,X1)
| ~ ron(X1,X3)
| ~ ron(X2,X3)
| ~ ron(X0,X3)
| vangle(X1,X0,sK2) = vangle(X2,X0,sK3)
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f32326,f456]) ).
fof(f32345,plain,
! [X2,X0,X1] :
( ~ ron(X1,vskolem1416)
| sK3 = X0
| X0 = X2
| rR(X0,sK3,sK2)
| rR(X0,X2,X1)
| X0 = X1
| ~ ron(X2,vskolem1416)
| ~ ron(X0,vskolem1416)
| vangle(X1,X0,sK2) = vangle(X2,X0,sK3)
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X0) ),
inference(resolution,[],[f32328,f472]) ).
fof(f32370,plain,
! [X0,X1] :
( sK3 = X0
| X0 = X1
| rR(X0,sK3,sK2)
| rR(X0,X1,sK3)
| sK3 = X0
| ~ ron(X1,vskolem1416)
| ~ ron(X0,vskolem1416)
| vangle(sK3,X0,sK2) = vangle(X1,X0,sK3)
| sK2 = X0
| ~ rpoint(sK3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(resolution,[],[f32345,f747]) ).
fof(f32371,plain,
! [X0,X1] :
( sK3 = X0
| X0 = X1
| rR(X0,sK3,sK2)
| rR(X0,X1,sK3)
| ~ ron(X1,vskolem1416)
| ~ ron(X0,vskolem1416)
| vangle(sK3,X0,sK2) = vangle(X1,X0,sK3)
| sK2 = X0
| ~ rpoint(sK3)
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f32370]) ).
fof(f32372,plain,
! [X0,X1] :
( ~ ron(X1,vskolem1416)
| X0 = X1
| rR(X0,sK3,sK2)
| rR(X0,X1,sK3)
| sK3 = X0
| ~ ron(X0,vskolem1416)
| vangle(sK3,X0,sK2) = vangle(X1,X0,sK3)
| sK2 = X0
| ~ rpoint(X1)
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f32371,f456]) ).
fof(f32375,plain,
! [X0] :
( sK3 = X0
| rR(X0,sK3,sK2)
| rR(X0,sK3,sK3)
| sK3 = X0
| ~ ron(X0,vskolem1416)
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK2)
| sK2 = X0
| ~ rpoint(sK3)
| ~ rpoint(X0) ),
inference(resolution,[],[f32372,f747]) ).
fof(f32376,plain,
! [X0] :
( sK3 = X0
| rR(X0,sK3,sK2)
| rR(X0,sK3,sK3)
| ~ ron(X0,vskolem1416)
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK2)
| sK2 = X0
| ~ rpoint(sK3)
| ~ rpoint(X0) ),
inference(duplicate_literal_removal,[],[f32375]) ).
fof(f32377,plain,
! [X0] :
( ~ ron(X0,vskolem1416)
| rR(X0,sK3,sK2)
| rR(X0,sK3,sK3)
| sK3 = X0
| vangle(sK3,X0,sK3) = vangle(sK3,X0,sK2)
| sK2 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f32376,f456]) ).
fof(f32385,plain,
( rR(sK1,sK3,sK2)
| rR(sK1,sK3,sK3)
| sK1 = sK3
| vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
| sK1 = sK2
| ~ rpoint(sK1) ),
inference(resolution,[],[f32377,f748]) ).
fof(f32387,plain,
( rR(sK1,sK3,sK2)
| rR(sK1,sK3,sK3)
| vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
| sK1 = sK2
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f32385,f744]) ).
fof(f32388,plain,
( rR(sK1,sK3,sK2)
| rR(sK1,sK3,sK3)
| vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3)
| ~ rpoint(sK1) ),
inference(forward_subsumption_resolution,[],[f32387,f743]) ).
fof(f32389,plain,
( rR(sK1,sK3,sK2)
| rR(sK1,sK3,sK3)
| vangle(sK3,sK1,sK2) = vangle(sK3,sK1,sK3) ),
inference(forward_subsumption_resolution,[],[f32388,f460]) ).
fof(f32390,plain,
( vd684 = vangle(sK3,sK1,sK2)
| rR(sK1,sK3,sK2)
| rR(sK1,sK3,sK3) ),
inference(forward_demodulation,[],[f32389,f2357]) ).
fof(f32393,definition,
( spl55_2213
<=> rR(sK1,sK3,sK3) ),
introduced(definition,[new_symbols(definition,[spl55_2213])],[avatar_definition]) ).
fof(f32394,plain,
( rR(sK1,sK3,sK3)
| ~ spl55_2213 ),
inference(avatar_component_clause,[],[f32393]) ).
fof(f32396,definition,
( spl55_2214
<=> rR(sK1,sK3,sK2) ),
introduced(definition,[new_symbols(definition,[spl55_2214])],[avatar_definition]) ).
fof(f32397,plain,
( rR(sK1,sK3,sK2)
| ~ spl55_2214 ),
inference(avatar_component_clause,[],[f32396]) ).
fof(f32399,plain,
( vd684 = vangle(sK3,sK1,sK2)
| ~ spl55_2201 ),
inference(avatar_component_clause,[],[f32183]) ).
fof(f32400,plain,
( spl55_2213
| spl55_2214
| spl55_2201 ),
inference(avatar_split_clause,[],[f32390,f32183,f32396,f32393]) ).
fof(f32405,plain,
( $false
| ~ spl55_2201
| spl55_2212 ),
inference(unit_resulting_resolution,[],[f794,f460,f456,f458,f472,f747,f32314,f748,f744,f743,f32399]) ).
fof(f32410,plain,
( ~ spl55_2201
| spl55_2212 ),
inference(avatar_contradiction_clause,[],[f32405]) ).
fof(f32426,plain,
( ~ rpoint(sK3)
| ~ rpoint(sK1)
| ~ spl55_2213 ),
inference(resolution,[],[f32394,f1573]) ).
fof(f32440,plain,
( ~ rpoint(sK1)
| ~ spl55_2213 ),
inference(forward_subsumption_resolution,[],[f32426,f456]) ).
fof(f32443,plain,
( $false
| ~ spl55_2213 ),
inference(forward_subsumption_resolution,[],[f32440,f460]) ).
fof(f32444,plain,
~ spl55_2213,
inference(avatar_contradiction_clause,[],[f32443]) ).
fof(f32446,plain,
( $false
| spl55_2170
| ~ spl55_2214 ),
inference(unit_resulting_resolution,[],[f974,f456,f460,f458,f465,f31970,f742,f741,f32397]) ).
fof(f32452,plain,
( spl55_2170
| ~ spl55_2214 ),
inference(avatar_contradiction_clause,[],[f32446]) ).
fof(f32470,plain,
( ron(sK1,vd1407)
| ~ spl55_2171 ),
inference(superposition,[],[f748,f31973]) ).
fof(f32502,plain,
( $false
| spl55_2170
| ~ spl55_2171 ),
inference(forward_subsumption_resolution,[],[f32470,f31970]) ).
fof(f32503,plain,
( spl55_2170
| ~ spl55_2171 ),
inference(avatar_contradiction_clause,[],[f32502]) ).
cnf(s2460,plain,
~ spl55_2170,
inference(sat_conversion,[],[f32068]) ).
cnf(s2490,plain,
( spl55_2171
| ~ spl55_2212 ),
inference(sat_conversion,[],[f32315]) ).
cnf(s2492,plain,
( spl55_2201
| spl55_2213
| spl55_2214 ),
inference(sat_conversion,[],[f32400]) ).
cnf(s2493,plain,
( ~ spl55_2201
| spl55_2212 ),
inference(sat_conversion,[],[f32410]) ).
cnf(s2498,plain,
~ spl55_2213,
inference(sat_conversion,[],[f32444]) ).
cnf(s2500,plain,
( spl55_2170
| ~ spl55_2214 ),
inference(sat_conversion,[],[f32452]) ).
cnf(s2503,plain,
( spl55_2170
| ~ spl55_2171 ),
inference(sat_conversion,[],[f32503]) ).
cnf(s2504,plain,
( spl55_2201
| spl55_2214 ),
inference(rat,[],[s2492,s2498]) ).
cnf(s2506,plain,
~ spl55_2171,
inference(rat,[],[s2503,s2460]) ).
cnf(s2507,plain,
~ spl55_2214,
inference(rat,[],[s2500,s2460]) ).
cnf(s2508,plain,
~ spl55_2212,
inference(rat,[],[s2490,s2506]) ).
cnf(s2509,plain,
spl55_2201,
inference(rat,[],[s2504,s2507]) ).
cnf(s2510,plain,
$false,
inference(rat,[],[s2493,s2508,s2509]) ).
fof(f32504,plain,
$false,
inference(avatar_sat_refutation,[],[s2510]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO347+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 08:12:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 12.75/2.72 % (1333399)Detected formulas, will run a generic FOF schedule.
% 12.75/2.72 % (1333425)dis-21_1_sil=8000:lcm=predicate:random_seed=2908885763: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)
% 12.75/2.72 % (1333420)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=811470013:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 12.75/2.72 % (1333425)Instruction limit reached!
% 12.75/2.72 % (1333425)------------------------------
% 12.75/2.72 % (1333425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.72 % (1333425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.72 % (1333425)CaDiCaL version: 2.1.3
% 12.75/2.72 % (1333425)Termination reason: Instruction limit
% 12.75/2.72 % (1333425)Termination phase: Saturation
% 12.75/2.72 % (1333425)Time elapsed: 0.061 s
% 12.75/2.72 % (1333425)Peak memory usage: 90 MB
% 12.75/2.72 % (1333425)Instructions burned: 130 (million)
% 12.75/2.72 % (1333423)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1313915926:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 12.75/2.72 % (1333422)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3687317641:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 12.75/2.72 % (1333421)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=3096932884:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 12.75/2.72 % (1333424)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2689069519:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 12.75/2.72 % (1333419)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=4032740359:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 12.75/2.72 % (1333423)Refutation not found, incomplete strategy
% 12.75/2.72 % (1333423)------------------------------
% 12.75/2.72 % (1333423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.72 % (1333423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.72 % (1333423)CaDiCaL version: 2.1.3
% 12.75/2.72 % (1333423)Termination reason: Refutation not found, incomplete strategy
% 12.75/2.72 % (1333423)Time elapsed: 0.002 s
% 12.75/2.72 % (1333423)Peak memory usage: 86 MB
% 12.75/2.72 % (1333422)Refutation not found, incomplete strategy
% 12.75/2.72 % (1333422)------------------------------
% 12.75/2.72 % (1333422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.72 % (1333422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.72 % (1333422)CaDiCaL version: 2.1.3
% 12.75/2.72 % (1333422)Termination reason: Refutation not found, incomplete strategy
% 12.75/2.72 % (1333422)Time elapsed: 0.002 s
% 12.75/2.72 % (1333422)Peak memory usage: 86 MB
% 12.75/2.72 % (1333422)Instructions burned: 1 (million)
% 12.75/2.72 % (1333436)lrs+10_1_sil=8000:sp=occurrence:random_seed=862775072:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 12.75/2.72 % (1333436)Refutation not found, incomplete strategy
% 12.75/2.72 % (1333436)------------------------------
% 12.75/2.72 % (1333436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.72 % (1333436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.72 % (1333436)CaDiCaL version: 2.1.3
% 12.75/2.72 % (1333436)Termination reason: Refutation not found, incomplete strategy
% 12.75/2.72 % (1333436)Time elapsed: 0.001 s
% 12.75/2.72 % (1333436)Peak memory usage: 86 MB
% 12.75/2.72 % (1333436)Instructions burned: 1 (million)
% 12.75/2.72 % (1333424)Instruction limit reached!
% 12.75/2.72 % (1333424)------------------------------
% 12.75/2.72 % (1333424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.75/2.72 % (1333424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.75/2.72 % (1333424)CaDiCaL version: 2.1.3
% 12.75/2.72 % (1333424)Termination reason: Instruction limit
% 12.75/2.72 % (1333424)Termination phase: Saturation
% 12.75/2.72 % (1333424)Time elapsed: 0.146 s
% 12.75/2.72 % (1333424)Peak memory usage: 90 MB
% 12.75/2.72 % (1333424)Instructions burned: 139 (million)
% 12.75/2.72 % (1333423)------------------------------
% 12.75/2.72 % (1333423)------------------------------
% 17.47/3.26 % (1333436)------------------------------
% 17.47/3.26 % (1333436)------------------------------
% 17.47/3.26 % (1333446)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2722122299:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 17.47/3.26 % (1333446)Refutation not found, incomplete strategy
% 17.47/3.26 % (1333446)------------------------------
% 17.47/3.26 % (1333446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.47/3.26 % (1333446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.26 % (1333446)CaDiCaL version: 2.1.3
% 17.47/3.26 % (1333446)Termination reason: Refutation not found, incomplete strategy
% 17.47/3.26 % (1333446)Time elapsed: 0.003 s
% 17.47/3.26 % (1333446)Peak memory usage: 87 MB
% 17.47/3.26 % (1333446)Instructions burned: 2 (million)
% 17.47/3.26 % (1333422)------------------------------
% 17.47/3.26 % (1333422)------------------------------
% 17.47/3.26 % (1333450)lrs+1011_1_sil=32000:sp=occurrence:random_seed=718518749:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 17.47/3.26 % (1333450)Refutation not found, incomplete strategy
% 17.47/3.26 % (1333450)------------------------------
% 17.47/3.26 % (1333450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.47/3.26 % (1333450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.26 % (1333450)CaDiCaL version: 2.1.3
% 17.47/3.26 % (1333450)Termination reason: Refutation not found, incomplete strategy
% 17.47/3.26 % (1333450)Time elapsed: 0.001 s
% 17.47/3.26 % (1333450)Peak memory usage: 87 MB
% 17.47/3.26 % (1333450)Instructions burned: 1 (million)
% 17.47/3.26 % (1333456)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=601680316:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 17.47/3.26 % (1333458)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4119666605:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 17.47/3.26 % (1333458)Refutation not found, incomplete strategy
% 17.47/3.26 % (1333458)------------------------------
% 17.47/3.26 % (1333458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.47/3.26 % (1333458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.26 % (1333458)CaDiCaL version: 2.1.3
% 17.47/3.26 % (1333458)Termination reason: Refutation not found, incomplete strategy
% 17.47/3.26 % (1333458)Time elapsed: 0.002 s
% 17.47/3.26 % (1333458)Peak memory usage: 86 MB
% 17.47/3.26 % (1333458)Instructions burned: 1 (million)
% 17.47/3.26 % (1333456)Instruction limit reached!
% 17.47/3.26 % (1333456)------------------------------
% 17.47/3.26 % (1333456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.47/3.26 % (1333456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.26 % (1333456)CaDiCaL version: 2.1.3
% 17.47/3.26 % (1333456)Termination reason: Instruction limit
% 17.47/3.26 % (1333456)Termination phase: Saturation
% 17.47/3.26 % (1333456)Time elapsed: 0.114 s
% 17.47/3.26 % (1333456)Peak memory usage: 93 MB
% 17.47/3.26 % (1333456)Instructions burned: 248 (million)
% 17.47/3.26 % (1333446)------------------------------
% 17.47/3.26 % (1333446)------------------------------
% 17.47/3.26 % (1333450)------------------------------
% 17.47/3.26 % (1333450)------------------------------
% 17.47/3.26 % (1333464)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3780518589:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 17.47/3.26 % (1333465)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1198866573:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 17.47/3.26 % (1333465)Refutation not found, incomplete strategy
% 17.47/3.26 % (1333465)------------------------------
% 17.47/3.26 % (1333465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.47/3.26 % (1333465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.47/3.26 % (1333465)CaDiCaL version: 2.1.3
% 17.47/3.26 % (1333465)Termination reason: Refutation not found, incomplete strategy
% 17.47/3.26 % (1333465)Time elapsed: 0.023 s
% 17.47/3.26 % (1333465)Peak memory usage: 89 MB
% 17.47/3.26 % (1333465)Instructions burned: 25 (million)
% 17.47/3.26 % (1333466)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1125516068:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 17.47/3.26 % (1333458)------------------------------
% 20.59/3.78 % (1333458)------------------------------
% 20.59/3.78 % (1333421)Refutation not found, incomplete strategy
% 20.59/3.78 % (1333421)------------------------------
% 20.59/3.78 % (1333421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.59/3.78 % (1333421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.59/3.78 % (1333421)CaDiCaL version: 2.1.3
% 20.59/3.78 % (1333421)Termination reason: Refutation not found, incomplete strategy
% 20.59/3.78 % (1333421)Time elapsed: 1.015 s
% 20.59/3.78 % (1333421)Peak memory usage: 134 MB
% 20.59/3.78 % (1333421)Instructions burned: 950 (million)
% 20.59/3.78 % (1333466)Refutation not found, incomplete strategy
% 20.59/3.78 % (1333466)------------------------------
% 20.59/3.78 % (1333466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.59/3.78 % (1333466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.59/3.78 % (1333466)CaDiCaL version: 2.1.3
% 20.59/3.78 % (1333466)Termination reason: Refutation not found, incomplete strategy
% 20.59/3.78 % (1333466)Time elapsed: 0.037 s
% 20.59/3.78 % (1333466)Peak memory usage: 88 MB
% 20.59/3.79 % (1333466)Instructions burned: 42 (million)
% 20.59/3.79 % (1333472)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1246593612:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 20.59/3.79 % (1333465)------------------------------
% 20.59/3.79 % (1333465)------------------------------
% 20.59/3.79 % (1333472)Instruction limit reached!
% 20.59/3.79 % (1333472)------------------------------
% 20.59/3.79 % (1333472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.59/3.79 % (1333472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.59/3.79 % (1333472)CaDiCaL version: 2.1.3
% 20.59/3.79 % (1333472)Termination reason: Instruction limit
% 20.59/3.79 % (1333472)Termination phase: Saturation
% 20.59/3.79 % (1333472)Time elapsed: 0.101 s
% 20.59/3.79 % (1333472)Peak memory usage: 89 MB
% 20.59/3.79 % (1333472)Instructions burned: 115 (million)
% 20.59/3.79 % (1333421)------------------------------
% 20.59/3.79 % (1333421)------------------------------
% 20.59/3.79 % (1333466)------------------------------
% 20.59/3.79 % (1333466)------------------------------
% 20.59/3.79 % (1333476)lrs+10_1_sil=8000:sp=occurrence:random_seed=2372687070:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 20.59/3.79 % (1333476)Refutation not found, incomplete strategy
% 20.59/3.79 % (1333476)------------------------------
% 20.59/3.79 % (1333476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.59/3.79 % (1333476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.59/3.79 % (1333476)CaDiCaL version: 2.1.3
% 20.59/3.79 % (1333476)Termination reason: Refutation not found, incomplete strategy
% 20.59/3.79 % (1333476)Time elapsed: 0.002 s
% 20.59/3.79 % (1333476)Peak memory usage: 86 MB
% 20.59/3.79 % (1333476)Instructions burned: 1 (million)
% 20.59/3.79 % (1333477)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2757868401:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 20.59/3.79 % (1333477)Refutation not found, incomplete strategy
% 20.59/3.79 % (1333477)------------------------------
% 20.59/3.79 % (1333477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.59/3.79 % (1333477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.59/3.79 % (1333477)CaDiCaL version: 2.1.3
% 20.59/3.79 % (1333477)Termination reason: Refutation not found, incomplete strategy
% 20.59/3.79 % (1333477)Time elapsed: 0.030 s
% 20.59/3.79 % (1333477)Peak memory usage: 89 MB
% 20.59/3.79 % (1333477)Instructions burned: 31 (million)
% 20.59/3.79 % (1333479)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=665234688:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2983 on theBenchmark for (2983ds/134Mi)
% 20.59/3.79 % (1333478)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1409204889:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 20.59/3.79 % (1333479)Instruction limit reached!
% 20.59/3.79 % (1333479)------------------------------
% 20.59/3.79 % (1333479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.59/3.79 % (1333479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.59/3.79 % (1333479)CaDiCaL version: 2.1.3
% 20.59/3.79 % (1333479)Termination reason: Instruction limit
% 20.59/3.79 % (1333479)Termination phase: Saturation
% 21.50/3.85 % (1333479)Time elapsed: 0.116 s
% 21.50/3.85 % (1333479)Peak memory usage: 93 MB
% 21.50/3.85 % (1333479)Instructions burned: 134 (million)
% 21.50/3.85 % (1333476)------------------------------
% 21.50/3.85 % (1333476)------------------------------
% 21.50/3.85 % (1333484)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1571224914:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 21.50/3.85 % (1333484)Refutation not found, incomplete strategy
% 21.50/3.85 % (1333484)------------------------------
% 21.50/3.85 % (1333484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.50/3.85 % (1333484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.50/3.85 % (1333484)CaDiCaL version: 2.1.3
% 21.50/3.85 % (1333484)Termination reason: Refutation not found, incomplete strategy
% 21.50/3.85 % (1333484)Time elapsed: 0.002 s
% 21.50/3.85 % (1333484)Peak memory usage: 87 MB
% 21.50/3.85 % (1333484)Instructions burned: 1 (million)
% 21.50/3.85 % (1333477)------------------------------
% 21.50/3.85 % (1333477)------------------------------
% 21.50/3.85 % (1333485)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2636695224:st=3:i=13193:sd=3:ss=axioms_2978 on theBenchmark for (2978ds/13193Mi)
% 21.50/3.85 % (1333488)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=4201280626:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 21.50/3.85 % (1333488)Refutation not found, incomplete strategy
% 21.50/3.85 % (1333488)------------------------------
% 21.50/3.85 % (1333488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.50/3.85 % (1333488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.50/3.85 % (1333488)CaDiCaL version: 2.1.3
% 21.50/3.85 % (1333488)Termination reason: Refutation not found, incomplete strategy
% 21.50/3.85 % (1333488)Time elapsed: 0.004 s
% 21.50/3.85 % (1333488)Peak memory usage: 88 MB
% 21.50/3.85 % (1333488)Instructions burned: 3 (million)
% 21.50/3.85 [W927 08:12:48.463245995 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.463289729 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.463344223 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.463363823 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.463406087 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.463424087 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.463463747 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.463493790 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.463538957 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.463557988 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.463601131 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.463680522 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 % (1333484)------------------------------
% 21.50/3.85 % (1333484)------------------------------
% 21.50/3.85 % (1333478)Refutation not found, incomplete strategy
% 21.50/3.85 % (1333478)------------------------------
% 21.50/3.85 % (1333478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.50/3.85 % (1333478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.50/3.85 % (1333478)CaDiCaL version: 2.1.3
% 21.50/3.85 % (1333478)Termination reason: Refutation not found, incomplete strategy
% 21.50/3.85 % (1333478)Time elapsed: 0.884 s
% 21.50/3.85 % (1333478)Peak memory usage: 126 MB
% 21.50/3.85 % (1333478)Instructions burned: 828 (million)
% 21.50/3.85 % (1333420)First to succeed.
% 21.50/3.85 % (1333420)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1333399"
% 21.50/3.85 % (1333494)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1597470036:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 21.50/3.85 % (1333488)------------------------------
% 21.50/3.85 % (1333488)------------------------------
% 21.50/3.85 % (1333494)Instruction limit reached!
% 21.50/3.85 % (1333494)------------------------------
% 21.50/3.85 % (1333494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.50/3.85 % (1333494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.50/3.85 % (1333494)CaDiCaL version: 2.1.3
% 21.50/3.85 % (1333494)Termination reason: Instruction limit
% 21.50/3.85 % (1333494)Termination phase: Saturation
% 21.50/3.85 % (1333494)Time elapsed: 0.138 s
% 21.50/3.85 % (1333494)Peak memory usage: 91 MB
% 21.50/3.85 % (1333494)Instructions burned: 135 (million)
% 21.50/3.85 [W927 08:12:48.992587898 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.992646959 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.992711103 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.992731066 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.992775350 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.992793063 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.992838837 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.992857280 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.992911237 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.992928901 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.992973231 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 [W927 08:12:48.992991204 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 21.50/3.85 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 21.50/3.85 % (1333496)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=263354672:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 21.50/3.85 % (1333496)Refutation not found, incomplete strategy
% 21.50/3.85 % (1333496)------------------------------
% 21.50/3.85 % (1333496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.50/3.85 % (1333496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.50/3.85 % (1333496)CaDiCaL version: 2.1.3
% 21.50/3.85 % (1333496)Termination reason: Refutation not found, incomplete strategy
% 21.50/3.85 % (1333496)Time elapsed: 0.002 s
% 21.50/3.85 % (1333496)Peak memory usage: 87 MB
% 21.50/3.85 % (1333496)Instructions burned: 1 (million)
% 21.50/3.85 % (1333420)Refutation found. Thanks to Tanya!
% 21.50/3.85 % SZS status ContradictoryAxioms for theBenchmark
% 21.50/3.85 % SZS output start Proof for theBenchmark
% See solution above
% 22.28/4.05 % (1333420)------------------------------
% 22.28/4.05 % (1333420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.28/4.05 % (1333420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.28/4.05 % (1333420)CaDiCaL version: 2.1.3
% 22.28/4.05 % (1333420)Termination reason: Refutation
% 22.28/4.05 % (1333420)Time elapsed: 2.646 s
% 22.28/4.05 % (1333420)Peak memory usage: 157 MB
% 22.28/4.05 % (1333420)Instructions burned: 4202 (million)
% 22.28/4.05 % (1333420)------------------------------
% 22.28/4.05 % (1333420)------------------------------
% 22.28/4.05 % (1333399)Success in time 3.085 s
% 22.28/4.05 % Vampire exiting
%------------------------------------------------------------------------------