%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO284+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 : n012.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 09:52:20 AM UTC 2026
% Result : Theorem 0.07s 5.81s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 85 ( 21 unt; 4 def)
% Number of atoms : 340 ( 101 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 446 ( 191 ~; 201 |; 48 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 124 ( 0 sgn 108 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
? [X0,X1] :
( ron(vd1127,X1)
& rcenter(vd1123,X1)
& rcircle(X1)
& ron(vd1125,X0)
& ron(vd1123,X0)
& rline(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(259)') ).
fof(f2,negated_conjecture,
~ ? [X0,X1] :
( ron(vd1127,X1)
& rcenter(vd1123,X1)
& rcircle(X1)
& ron(vd1125,X0)
& ron(vd1123,X0)
& rline(X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vd1123 = vd1129,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(258, 1150, 0)') ).
fof(f13,axiom,
( rless(vf(vd1127,vd1129),vf(vd1123,vd1125))
& vd1127 != vd1129
& vd1123 != vd1125
& vd1129 = vd1130
& rpoint(vd1130)
& vd1127 = vd1128
& rpoint(vd1128)
& vd1125 = vd1126
& rpoint(vd1126)
& vd1123 = vd1124
& rpoint(vd1124) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).
fof(f20,axiom,
! [X0,X1] :
( ( X0 != X1
& ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).
fof(f34,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(f137,plain,
! [X0,X1] :
( ~ ron(vd1127,X1)
| ~ rcenter(vd1123,X1)
| ~ rcircle(X1)
| ~ ron(vd1125,X0)
| ~ ron(vd1123,X0)
| ~ rline(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f159,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f160,plain,
! [X0,X1] :
( ? [X4] :
( ron(X1,X4)
& rcenter(X0,X4)
& rcircle(X4) )
| X0 = X1
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f159]) ).
fof(f187,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,[],[f34]) ).
fof(f188,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,[],[f187]) ).
fof(f375,plain,
! [X0,X1] :
( ? [X2] :
( ron(X1,X2)
& rcenter(X0,X2)
& rcircle(X2) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(rectify,[],[f160]) ).
fof(f376,plain,
! [X0,X1] :
( ( ron(X1,sK3(X0,X1))
& rcenter(X0,sK3(X0,X1))
& rcircle(sK3(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f375]) ).
fof(f378,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,[],[f188]) ).
fof(f379,plain,
! [X0,X1] :
( ( ron(X1,sK5(X0,X1))
& ron(X0,sK5(X0,X1))
& rline(sK5(X0,X1)) )
| X0 = X1
| ! [X3] :
( X1 != X3
| ~ rpoint(X3) )
| ! [X4] :
( X0 != X4
| ~ rpoint(X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f378]) ).
fof(f443,plain,
! [X0,X1] :
( ~ ron(vd1127,X1)
| ~ rcenter(vd1123,X1)
| ~ rcircle(X1)
| ~ ron(vd1125,X0)
| ~ ron(vd1123,X0)
| ~ rline(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f444,plain,
vd1123 = vd1129,
inference(cnf_transformation,[],[f3]) ).
fof(f458,plain,
rpoint(vd1124),
inference(cnf_transformation,[],[f13]) ).
fof(f459,plain,
vd1123 = vd1124,
inference(cnf_transformation,[],[f13]) ).
fof(f460,plain,
rpoint(vd1126),
inference(cnf_transformation,[],[f13]) ).
fof(f461,plain,
vd1125 = vd1126,
inference(cnf_transformation,[],[f13]) ).
fof(f462,plain,
rpoint(vd1128),
inference(cnf_transformation,[],[f13]) ).
fof(f463,plain,
vd1127 = vd1128,
inference(cnf_transformation,[],[f13]) ).
fof(f466,plain,
vd1123 != vd1125,
inference(cnf_transformation,[],[f13]) ).
fof(f467,plain,
vd1127 != vd1129,
inference(cnf_transformation,[],[f13]) ).
fof(f484,plain,
! [X3,X0,X1,X4] :
( rcircle(sK3(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f376]) ).
fof(f485,plain,
! [X3,X0,X1,X4] :
( rcenter(X0,sK3(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f376]) ).
fof(f486,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK3(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f376]) ).
fof(f507,plain,
! [X3,X0,X1,X4] :
( rline(sK5(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f379]) ).
fof(f508,plain,
! [X3,X0,X1,X4] :
( ron(X0,sK5(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f379]) ).
fof(f509,plain,
! [X3,X0,X1,X4] :
( ron(X1,sK5(X0,X1))
| X0 = X1
| X1 != X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(cnf_transformation,[],[f379]) ).
fof(f749,plain,
! [X3,X0,X4] :
( ron(X3,sK3(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f486]) ).
fof(f750,plain,
! [X3,X4] :
( ron(X3,sK3(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f749]) ).
fof(f751,plain,
! [X3,X0,X4] :
( rcenter(X0,sK3(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f485]) ).
fof(f752,plain,
! [X3,X4] :
( rcenter(X4,sK3(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f751]) ).
fof(f753,plain,
! [X3,X0,X4] :
( rcircle(sK3(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f484]) ).
fof(f754,plain,
! [X3,X4] :
( rcircle(sK3(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f753]) ).
fof(f771,plain,
! [X3,X0,X4] :
( ron(X3,sK5(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f509]) ).
fof(f772,plain,
! [X3,X4] :
( ron(X3,sK5(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f771]) ).
fof(f773,plain,
! [X3,X0,X4] :
( ron(X0,sK5(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f508]) ).
fof(f774,plain,
! [X3,X4] :
( ron(X4,sK5(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f773]) ).
fof(f775,plain,
! [X3,X0,X4] :
( rline(sK5(X0,X3))
| X0 = X3
| ~ rpoint(X3)
| X0 != X4
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f507]) ).
fof(f776,plain,
! [X3,X4] :
( rline(sK5(X4,X3))
| X3 = X4
| ~ rpoint(X3)
| ~ rpoint(X4) ),
inference(equality_resolution,[],[f775]) ).
fof(f1452,definition,
( spl46_13
<=> vd1127 = vd1123 ),
introduced(definition,[new_symbols(definition,[spl46_13])],[avatar_definition]) ).
fof(f1456,definition,
( spl46_14
<=> vd1123 = vd1129 ),
introduced(definition,[new_symbols(definition,[spl46_14])],[avatar_definition]) ).
fof(f1458,plain,
( vd1123 = vd1129
| ~ spl46_14 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1605,definition,
( spl46_44
<=> ! [X0] :
( ~ ron(vd1125,X0)
| ~ rline(X0)
| ~ ron(vd1123,X0) ) ),
introduced(definition,[new_symbols(definition,[spl46_44])],[avatar_definition]) ).
fof(f1606,plain,
( ! [X0] :
( ~ rline(X0)
| ~ ron(vd1125,X0)
| ~ ron(vd1123,X0) )
| ~ spl46_44 ),
inference(avatar_component_clause,[],[f1605]) ).
fof(f1608,definition,
( spl46_45
<=> ! [X1] :
( ~ ron(vd1127,X1)
| ~ rcircle(X1)
| ~ rcenter(vd1123,X1) ) ),
introduced(definition,[new_symbols(definition,[spl46_45])],[avatar_definition]) ).
fof(f1609,plain,
( ! [X1] :
( ~ rcircle(X1)
| ~ ron(vd1127,X1)
| ~ rcenter(vd1123,X1) )
| ~ spl46_45 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f1610,plain,
( spl46_44
| spl46_45 ),
inference(avatar_split_clause,[],[f443,f1608,f1605]) ).
fof(f1611,plain,
spl46_14,
inference(avatar_split_clause,[],[f444,f1456]) ).
fof(f1612,plain,
rpoint(vd1123),
inference(superposition,[],[f458,f459]) ).
fof(f1613,plain,
rpoint(vd1125),
inference(superposition,[],[f460,f461]) ).
fof(f1614,plain,
rpoint(vd1127),
inference(superposition,[],[f462,f463]) ).
fof(f1616,plain,
( vd1127 != vd1123
| ~ spl46_14 ),
inference(superposition,[],[f467,f1458]) ).
fof(f1704,plain,
( ! [X0,X1] :
( ~ ron(vd1125,sK5(X1,X0))
| ~ rpoint(X0)
| ~ rpoint(X1)
| X0 = X1
| ~ ron(vd1123,sK5(X1,X0)) )
| ~ spl46_44 ),
inference(resolution,[],[f776,f1606]) ).
fof(f1733,plain,
( ! [X0] :
( vd1125 = X0
| ~ rpoint(vd1125)
| ~ rpoint(X0)
| ~ rpoint(vd1125)
| ~ rpoint(X0)
| vd1125 = X0
| ~ ron(vd1123,sK5(X0,vd1125)) )
| ~ spl46_44 ),
inference(resolution,[],[f772,f1704]) ).
fof(f1734,plain,
( ! [X0] :
( vd1125 = X0
| ~ rpoint(vd1125)
| ~ rpoint(X0)
| ~ ron(vd1123,sK5(X0,vd1125)) )
| ~ spl46_44 ),
inference(duplicate_literal_removal,[],[f1733]) ).
fof(f1735,plain,
( ! [X0] :
( ~ ron(vd1123,sK5(X0,vd1125))
| ~ rpoint(X0)
| vd1125 = X0 )
| ~ spl46_44 ),
inference(forward_subsumption_resolution,[],[f1734,f1613]) ).
fof(f1737,plain,
( vd1123 = vd1125
| ~ rpoint(vd1125)
| ~ rpoint(vd1123)
| ~ rpoint(vd1123)
| vd1123 = vd1125
| ~ spl46_44 ),
inference(resolution,[],[f774,f1735]) ).
fof(f1738,plain,
( vd1123 = vd1125
| ~ rpoint(vd1125)
| ~ rpoint(vd1123)
| ~ spl46_44 ),
inference(duplicate_literal_removal,[],[f1737]) ).
fof(f1740,plain,
( ~ rpoint(vd1125)
| ~ rpoint(vd1123)
| ~ spl46_44 ),
inference(forward_subsumption_resolution,[],[f1738,f466]) ).
fof(f1742,plain,
( ~ rpoint(vd1123)
| ~ spl46_44 ),
inference(forward_subsumption_resolution,[],[f1740,f1613]) ).
fof(f1743,plain,
( $false
| ~ spl46_44 ),
inference(forward_subsumption_resolution,[],[f1742,f1612]) ).
fof(f1744,plain,
~ spl46_44,
inference(avatar_contradiction_clause,[],[f1743]) ).
fof(f1745,plain,
( ! [X0,X1] :
( ~ rcenter(vd1123,sK3(X0,X1))
| ~ ron(vd1127,sK3(X0,X1))
| X0 = X1
| ~ rpoint(X1)
| ~ rpoint(X0) )
| ~ spl46_45 ),
inference(resolution,[],[f1609,f754]) ).
fof(f1746,plain,
( ! [X0] :
( ~ ron(vd1127,sK3(vd1123,X0))
| vd1123 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1123)
| vd1123 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1123) )
| ~ spl46_45 ),
inference(resolution,[],[f1745,f752]) ).
fof(f1747,plain,
( ! [X0] :
( ~ ron(vd1127,sK3(vd1123,X0))
| vd1123 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1123) )
| ~ spl46_45 ),
inference(duplicate_literal_removal,[],[f1746]) ).
fof(f1748,plain,
( ! [X0] :
( ~ ron(vd1127,sK3(vd1123,X0))
| vd1123 = X0
| ~ rpoint(X0) )
| ~ spl46_45 ),
inference(forward_subsumption_resolution,[],[f1747,f1612]) ).
fof(f1749,plain,
( vd1127 = vd1123
| ~ rpoint(vd1127)
| vd1127 = vd1123
| ~ rpoint(vd1127)
| ~ rpoint(vd1123)
| ~ spl46_45 ),
inference(resolution,[],[f1748,f750]) ).
fof(f1750,plain,
( vd1127 = vd1123
| ~ rpoint(vd1127)
| ~ rpoint(vd1123)
| ~ spl46_45 ),
inference(duplicate_literal_removal,[],[f1749]) ).
fof(f1757,plain,
( ~ spl46_13
| ~ spl46_14 ),
inference(avatar_split_clause,[],[f1616,f1456,f1452]) ).
fof(f1758,plain,
( vd1127 = vd1123
| ~ rpoint(vd1123)
| ~ spl46_45 ),
inference(forward_subsumption_resolution,[],[f1750,f1614]) ).
fof(f1759,plain,
( vd1127 = vd1123
| ~ spl46_45 ),
inference(forward_subsumption_resolution,[],[f1758,f1612]) ).
fof(f1760,plain,
( spl46_13
| ~ spl46_45 ),
inference(avatar_split_clause,[],[f1759,f1608,f1452]) ).
cnf(s43,plain,
( spl46_44
| spl46_45 ),
inference(sat_conversion,[],[f1610]) ).
cnf(s44,plain,
spl46_14,
inference(sat_conversion,[],[f1611]) ).
cnf(s49,plain,
~ spl46_44,
inference(sat_conversion,[],[f1744]) ).
cnf(s51,plain,
( ~ spl46_13
| ~ spl46_14 ),
inference(sat_conversion,[],[f1757]) ).
cnf(s52,plain,
( spl46_13
| ~ spl46_45 ),
inference(sat_conversion,[],[f1760]) ).
cnf(s53,plain,
~ spl46_13,
inference(rat,[],[s51,s44]) ).
cnf(s54,plain,
~ spl46_45,
inference(rat,[],[s52,s53]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s43,s54,s49]) ).
fof(f1761,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO284+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/5.32 % Computer : n012.cluster.edu
% 0.04/5.32 % Model : x86_64 x86_64
% 0.04/5.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.32 % Memory : 8046.5625MB
% 0.04/5.32 % OS : Linux 6.8.0-71-generic
% 0.04/5.32 % CPULimit : 300
% 0.04/5.32 % WCLimit : 300
% 0.04/5.32 % DateTime : Sun Sep 27 07:58:55 UTC 2026
% 0.04/5.32 % CPUTime :
% 0.04/5.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/5.34 Running first-order theorem proving
% 0.04/5.34 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
% 0.07/5.81 % (2048117)Detected formulas, will run a generic FOF schedule.
% 0.07/5.81 % (2048128)dis-21_1_sil=8000:lcm=predicate:random_seed=3587359693: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)
% 0.07/5.81 % (2048125)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4275182117:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.07/5.81 % (2048127)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2965209528:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.07/5.81 % (2048126)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1924321596:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.07/5.81 % (2048122)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=1546903152:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.07/5.81 % (2048123)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=960998278:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.07/5.81 % (2048124)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=122877347:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.07/5.81 % (2048125)Refutation not found, incomplete strategy
% 0.07/5.81 % (2048125)------------------------------
% 0.07/5.81 % (2048125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.07/5.81 % (2048125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/5.81 % (2048125)CaDiCaL version: 2.1.3
% 0.07/5.81 % (2048125)Termination reason: Refutation not found, incomplete strategy
% 0.07/5.81 % (2048125)Time elapsed: 0.003 s
% 0.07/5.81 % (2048125)Peak memory usage: 89 MB
% 0.07/5.81 % (2048125)Instructions burned: 6 (million)
% 0.07/5.81 % (2048127)First to succeed.
% 0.07/5.81 % (2048127)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2048117"
% 0.07/5.81 % (2048126)Instruction limit reached!
% 0.07/5.81 % (2048126)------------------------------
% 0.07/5.81 % (2048126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.07/5.81 % (2048126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/5.81 % (2048126)CaDiCaL version: 2.1.3
% 0.07/5.81 % (2048126)Termination reason: Instruction limit
% 0.07/5.81 % (2048126)Termination phase: Saturation
% 0.07/5.81 % (2048126)Time elapsed: 0.034 s
% 0.07/5.81 % (2048126)Peak memory usage: 89 MB
% 0.07/5.81 % (2048126)Instructions burned: 119 (million)
% 0.07/5.81 % (2048128)Instruction limit reached!
% 0.07/5.81 % (2048128)------------------------------
% 0.07/5.81 % (2048128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.07/5.81 % (2048128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/5.81 % (2048128)CaDiCaL version: 2.1.3
% 0.07/5.81 % (2048128)Termination reason: Instruction limit
% 0.07/5.81 % (2048128)Termination phase: Saturation
% 0.07/5.81 % (2048128)Time elapsed: 0.037 s
% 0.07/5.81 % (2048128)Peak memory usage: 89 MB
% 0.07/5.81 % (2048128)Instructions burned: 131 (million)
% 0.07/5.81 % (2048137)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2429831111:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.07/5.81 % (2048136)lrs+10_1_sil=8000:sp=occurrence:random_seed=4020842807:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.07/5.81 % (2048137)Refutation not found, incomplete strategy
% 0.07/5.81 % (2048137)------------------------------
% 0.07/5.81 % (2048137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.07/5.81 % (2048137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/5.81 % (2048137)CaDiCaL version: 2.1.3
% 0.07/5.81 % (2048137)Termination reason: Refutation not found, incomplete strategy
% 0.07/5.81 % (2048137)Time elapsed: 0.003 s
% 0.07/5.81 % (2048137)Peak memory usage: 89 MB
% 0.07/5.81 % (2048137)Instructions burned: 6 (million)
% 0.07/5.81 % (2048125)------------------------------
% 0.07/5.81 % (2048125)------------------------------
% 0.07/5.81 % (2048127)Refutation found. Thanks to Tanya!
% 0.07/5.81 % SZS status Theorem for theBenchmark
% 0.07/5.81 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/5.90 % (2048127)------------------------------
% 0.07/5.90 % (2048127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.07/5.90 % (2048127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/5.90 % (2048127)CaDiCaL version: 2.1.3
% 0.07/5.90 % (2048127)Termination reason: Refutation
% 0.07/5.90 % (2048127)Time elapsed: 0.011 s
% 0.07/5.90 % (2048127)Peak memory usage: 90 MB
% 0.07/5.90 % (2048127)Instructions burned: 34 (million)
% 0.07/5.90 % (2048127)------------------------------
% 0.07/5.90 % (2048127)------------------------------
% 0.07/5.90 % (2048117)Success in time 0.273 s
% 0.07/5.90 % Vampire exiting
%------------------------------------------------------------------------------