%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO297+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 : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:22 AM UTC 2026
% Result : ContradictoryAxioms 5.63s 1.92s
% Output : Refutation 7.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 79 ( 38 unt; 2 def)
% Number of atoms : 364 ( 132 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 471 ( 186 ~; 200 |; 79 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 20 con; 0-3 aty)
% Number of variables : 102 ( 0 sgn 87 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
vangle(vd1187,vd1185,vd1201) = v0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(310, 1246, 0)') ).
fof(f5,axiom,
ron(vd1187,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s2(plural(293)), 0)') ).
fof(f8,axiom,
ron(vd1185,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(s1(plural(293)), 0)') ).
fof(f9,axiom,
rline(vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(293, 0)') ).
fof(f11,axiom,
vd1199 = vd1185,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(291, 1230, 0)') ).
fof(f13,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,
( ~ ? [X0] :
( ron(vd1187,X0)
& ron(vd1186,X0)
& ron(vd1185,X0)
& rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','and(neg(neg(conjunct2(conjunct2(conjunct2(plural(comma_conjunct2(268))))))), and(holds(conjunct1(conjunct2(conjunct2(plural(comma_conjunct2(268))))), 1194, 0), and(holds(conjunct1(conjunct2(plural(comma_conjunct2(268)))), 1193, 0), and(holds(conjunct1(plural(comma_conjunct2(268))), 1192, 0), and(qe(s3(plural(comma_conjunct2(268)))), and(qe(s2(plural(comma_conjunct2(268)))), and(qe(s1(plural(comma_conjunct2(268)))), and(pred(comma_conjunct1(268), 9), and(pred(comma_conjunct1(268), 8), and(pred(comma_conjunct1(268), 7), and(qe(s3(plural(268))), and(qe(s2(plural(268))), qe(s1(plural(268)))))))))))))))') ).
fof(f31,axiom,
? [X0] :
( vd1201 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s3(plural(271)))') ).
fof(f33,axiom,
? [X0] :
( vd1199 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(271)))') ).
fof(f34,axiom,
~ ron(vd1187,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(270))') ).
fof(f48,axiom,
ron(vd1199,vd1197),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(272, 0)') ).
fof(f51,axiom,
~ ron(vd1201,vd1232),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','neg(neg(296))') ).
fof(f64,axiom,
v0 = vd684,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f163,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,[],[f13]) ).
fof(f164,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,[],[f163]) ).
fof(f171,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& ? [X1] :
( vd1187 = X1
& rpoint(X1) )
& ? [X2] :
( vd1186 = X2
& rpoint(X2) )
& ? [X3] :
( vd1185 = X3
& rpoint(X3) )
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& ? [X4] :
( vd1180 = X4
& rpoint(X4) )
& ? [X5] :
( vd1179 = X5
& rpoint(X5) )
& ? [X6] :
( vd1178 = X6
& rpoint(X6) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f376,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| v0 != vangle(X2,X0,X4) )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(nnf_transformation,[],[f164]) ).
fof(f377,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ( ( ~ rR(X0,X2,X4)
& ron(X4,X6) )
| v0 != vangle(X2,X0,X4) )
& ( vangle(X2,X0,X4) = v0
| rR(X0,X2,X4)
| ~ ron(X4,X6) ) )
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(flattening,[],[f376]) ).
fof(f378,plain,
( ! [X0] :
( ~ ron(vd1187,X0)
| ~ ron(vd1186,X0)
| ~ ron(vd1185,X0)
| ~ rline(X0) )
& vangle(vd1179,vd1178,vd1180) = vangle(vd1186,vd1185,vd1187)
& vf(vd1178,vd1180) = vf(vd1185,vd1187)
& vf(vd1178,vd1179) = vf(vd1185,vd1186)
& vd1187 = sK1
& rpoint(sK1)
& vd1186 = sK2
& rpoint(sK2)
& vd1185 = sK3
& rpoint(sK3)
& vd1179 != vd1180
& vd1178 != vd1180
& vd1178 != vd1179
& vd1180 = sK4
& rpoint(sK4)
& vd1179 = sK5
& rpoint(sK5)
& vd1178 = sK6
& rpoint(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f171]) ).
fof(f379,plain,
( vd1201 = sK7
& rpoint(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X0,sK7)],[f31]) ).
fof(f381,plain,
( vd1199 = sK9
& rpoint(sK9) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X0,sK9)],[f33]) ).
fof(f453,plain,
vangle(vd1187,vd1185,vd1201) = v0,
inference(cnf_transformation,[],[f4]) ).
fof(f454,plain,
ron(vd1187,vd1232),
inference(cnf_transformation,[],[f5]) ).
fof(f457,plain,
ron(vd1185,vd1232),
inference(cnf_transformation,[],[f8]) ).
fof(f458,plain,
rline(vd1232),
inference(cnf_transformation,[],[f9]) ).
fof(f460,plain,
vd1185 = vd1199,
inference(cnf_transformation,[],[f11]) ).
fof(f463,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ron(X4,X6)
| v0 != vangle(X2,X0,X4)
| ~ ron(X2,X6)
| ~ ron(X0,X6)
| X0 = X4
| X0 = X2
| X6 != X7
| ~ rline(X7)
| X4 != X5
| ~ rpoint(X5)
| X2 != X3
| ~ rpoint(X3)
| X0 != X1
| ~ rpoint(X1) ),
inference(cnf_transformation,[],[f377]) ).
fof(f484,plain,
rpoint(sK1),
inference(cnf_transformation,[],[f378]) ).
fof(f485,plain,
vd1187 = sK1,
inference(cnf_transformation,[],[f378]) ).
fof(f500,plain,
rpoint(sK7),
inference(cnf_transformation,[],[f379]) ).
fof(f501,plain,
vd1201 = sK7,
inference(cnf_transformation,[],[f379]) ).
fof(f504,plain,
rpoint(sK9),
inference(cnf_transformation,[],[f381]) ).
fof(f505,plain,
vd1199 = sK9,
inference(cnf_transformation,[],[f381]) ).
fof(f506,plain,
~ ron(vd1187,vd1197),
inference(cnf_transformation,[],[f34]) ).
fof(f522,plain,
ron(vd1199,vd1197),
inference(cnf_transformation,[],[f48]) ).
fof(f528,plain,
~ ron(vd1201,vd1232),
inference(cnf_transformation,[],[f51]) ).
fof(f544,plain,
v0 = vd684,
inference(cnf_transformation,[],[f64]) ).
fof(f751,plain,
vd1185 = sK9,
inference(definition_unfolding,[],[f460,f505]) ).
fof(f754,plain,
vd684 = vangle(sK1,sK9,sK7),
inference(definition_unfolding,[],[f453,f485,f751,f501,f544]) ).
fof(f755,plain,
ron(sK1,vd1232),
inference(definition_unfolding,[],[f454,f485]) ).
fof(f758,plain,
ron(sK9,vd1232),
inference(definition_unfolding,[],[f457,f751]) ).
fof(f761,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,[],[f463,f544]) ).
fof(f788,plain,
~ ron(sK1,vd1197),
inference(definition_unfolding,[],[f506,f485]) ).
fof(f799,plain,
ron(sK9,vd1197),
inference(definition_unfolding,[],[f522,f505]) ).
fof(f800,plain,
~ ron(sK7,vd1232),
inference(definition_unfolding,[],[f528,f501]) ).
fof(f811,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,[],[f761]) ).
fof(f812,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,[],[f811]) ).
fof(f813,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,[],[f812]) ).
fof(f814,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,[],[f813]) ).
fof(f1583,definition,
( spl55_13
<=> sK1 = sK9 ),
introduced(definition,[new_symbols(definition,[spl55_13])],[avatar_definition]) ).
fof(f1584,plain,
( sK1 != sK9
| spl55_13 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f1585,plain,
( sK1 = sK9
| ~ spl55_13 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f1605,plain,
! [X0] :
( vd684 != vd684
| ron(sK7,X0)
| ~ ron(sK1,X0)
| ~ ron(sK9,X0)
| sK7 = sK9
| sK1 = sK9
| ~ rline(X0)
| ~ rpoint(sK7)
| ~ rpoint(sK1)
| ~ rpoint(sK9) ),
inference(superposition,[],[f814,f754]) ).
fof(f1606,plain,
! [X0] :
( ron(sK7,X0)
| ~ ron(sK1,X0)
| ~ ron(sK9,X0)
| sK7 = sK9
| sK1 = sK9
| ~ rline(X0)
| ~ rpoint(sK7)
| ~ rpoint(sK1)
| ~ rpoint(sK9) ),
inference(trivial_inequality_removal,[],[f1605]) ).
fof(f1883,plain,
( ~ ron(sK9,vd1197)
| ~ spl55_13 ),
inference(superposition,[],[f788,f1585]) ).
fof(f1891,plain,
( $false
| ~ spl55_13 ),
inference(forward_subsumption_resolution,[],[f1883,f799]) ).
fof(f1892,plain,
~ spl55_13,
inference(avatar_contradiction_clause,[],[f1891]) ).
fof(f1916,definition,
( spl55_27
<=> sK7 = sK9 ),
introduced(definition,[new_symbols(definition,[spl55_27])],[avatar_definition]) ).
fof(f1917,plain,
( sK7 != sK9
| spl55_27 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f1918,plain,
( sK7 = sK9
| ~ spl55_27 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f2316,plain,
( ~ ron(sK9,vd1232)
| ~ spl55_27 ),
inference(superposition,[],[f800,f1918]) ).
fof(f2331,plain,
( $false
| ~ spl55_27 ),
inference(forward_subsumption_resolution,[],[f2316,f758]) ).
fof(f2332,plain,
~ spl55_27,
inference(avatar_contradiction_clause,[],[f2331]) ).
fof(f3434,plain,
( ! [X0] :
( ron(sK7,X0)
| ~ ron(sK1,X0)
| ~ ron(sK9,X0)
| sK1 = sK9
| ~ rline(X0)
| ~ rpoint(sK7)
| ~ rpoint(sK1)
| ~ rpoint(sK9) )
| spl55_27 ),
inference(forward_subsumption_resolution,[],[f1606,f1917]) ).
fof(f3535,plain,
( ! [X0] :
( ron(sK7,X0)
| ~ ron(sK1,X0)
| ~ ron(sK9,X0)
| ~ rline(X0)
| ~ rpoint(sK7)
| ~ rpoint(sK1)
| ~ rpoint(sK9) )
| spl55_13
| spl55_27 ),
inference(forward_subsumption_resolution,[],[f3434,f1584]) ).
fof(f3613,plain,
( ! [X0] :
( ron(sK7,X0)
| ~ ron(sK1,X0)
| ~ ron(sK9,X0)
| ~ rline(X0)
| ~ rpoint(sK1)
| ~ rpoint(sK9) )
| spl55_13
| spl55_27 ),
inference(forward_subsumption_resolution,[],[f3535,f500]) ).
fof(f3672,plain,
( ! [X0] :
( ron(sK7,X0)
| ~ ron(sK1,X0)
| ~ ron(sK9,X0)
| ~ rline(X0)
| ~ rpoint(sK9) )
| spl55_13
| spl55_27 ),
inference(forward_subsumption_resolution,[],[f3613,f484]) ).
fof(f3721,plain,
( ! [X0] :
( ~ ron(sK9,X0)
| ~ ron(sK1,X0)
| ron(sK7,X0)
| ~ rline(X0) )
| spl55_13
| spl55_27 ),
inference(forward_subsumption_resolution,[],[f3672,f504]) ).
fof(f3987,plain,
( ~ ron(sK1,vd1232)
| ron(sK7,vd1232)
| ~ rline(vd1232)
| spl55_13
| spl55_27 ),
inference(resolution,[],[f3721,f758]) ).
fof(f3996,plain,
( ron(sK7,vd1232)
| ~ rline(vd1232)
| spl55_13
| spl55_27 ),
inference(forward_subsumption_resolution,[],[f3987,f755]) ).
fof(f3999,plain,
( ~ rline(vd1232)
| spl55_13
| spl55_27 ),
inference(forward_subsumption_resolution,[],[f3996,f800]) ).
fof(f4000,plain,
( $false
| spl55_13
| spl55_27 ),
inference(forward_subsumption_resolution,[],[f3999,f458]) ).
fof(f4001,plain,
( spl55_13
| spl55_27 ),
inference(avatar_contradiction_clause,[],[f4000]) ).
cnf(s23,plain,
~ spl55_13,
inference(sat_conversion,[],[f1892]) ).
cnf(s72,plain,
~ spl55_27,
inference(sat_conversion,[],[f2332]) ).
cnf(s97,plain,
( spl55_13
| spl55_27 ),
inference(sat_conversion,[],[f4001]) ).
cnf(s98,plain,
spl55_13,
inference(rat,[],[s97,s72]) ).
cnf(s108,plain,
$false,
inference(rat,[],[s23,s98]) ).
fof(f4002,plain,
$false,
inference(avatar_sat_refutation,[],[s108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO297+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n008.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 08:01:25 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 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
% 5.63/1.92 % (902704)Detected formulas, will run a generic FOF schedule.
% 5.63/1.92 % (902709)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=2159212159:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.63/1.92 % (902714)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1059107050:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.63/1.92 % (902715)dis-21_1_sil=8000:lcm=predicate:random_seed=185745913: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)
% 5.63/1.92 % (902711)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=711794429:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.63/1.92 % (902712)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=479644185:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.63/1.92 % (902710)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=2385425695:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.63/1.92 % (902713)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4159848832:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.63/1.92 % (902713)Refutation not found, incomplete strategy
% 5.63/1.92 % (902713)------------------------------
% 5.63/1.92 % (902713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92 % (902713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92 % (902713)CaDiCaL version: 2.1.3
% 5.63/1.92 % (902712)Refutation not found, incomplete strategy
% 5.63/1.92 % (902712)------------------------------
% 5.63/1.92 % (902712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92 % (902713)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92 % (902713)Time elapsed: 0.001 s
% 5.63/1.92 % (902713)Peak memory usage: 86 MB
% 5.63/1.92 % (902712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92 % (902712)CaDiCaL version: 2.1.3
% 5.63/1.92 % (902712)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92 % (902712)Time elapsed: 0.001 s
% 5.63/1.92 % (902712)Peak memory usage: 87 MB
% 5.63/1.92 % (902715)Instruction limit reached!
% 5.63/1.92 % (902715)------------------------------
% 5.63/1.92 % (902715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92 % (902715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92 % (902715)CaDiCaL version: 2.1.3
% 5.63/1.92 % (902715)Termination reason: Instruction limit
% 5.63/1.92 % (902715)Termination phase: Saturation
% 5.63/1.92 % (902715)Time elapsed: 0.069 s
% 5.63/1.92 % (902715)Peak memory usage: 90 MB
% 5.63/1.92 % (902715)Instructions burned: 131 (million)
% 5.63/1.92 % (902714)Instruction limit reached!
% 5.63/1.92 % (902714)------------------------------
% 5.63/1.92 % (902714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92 % (902714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92 % (902714)CaDiCaL version: 2.1.3
% 5.63/1.92 % (902714)Termination reason: Instruction limit
% 5.63/1.92 % (902714)Termination phase: Saturation
% 5.63/1.92 % (902714)Time elapsed: 0.084 s
% 5.63/1.92 % (902714)Peak memory usage: 90 MB
% 5.63/1.92 % (902714)Instructions burned: 140 (million)
% 5.63/1.92 % (902723)lrs+10_1_sil=8000:sp=occurrence:random_seed=2026403929:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.63/1.92 % (902713)------------------------------
% 5.63/1.92 % (902713)------------------------------
% 5.63/1.92 % (902723)Refutation not found, incomplete strategy
% 5.63/1.92 % (902723)------------------------------
% 5.63/1.92 % (902723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92 % (902723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92 % (902723)CaDiCaL version: 2.1.3
% 5.63/1.92 % (902723)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92 % (902723)Time elapsed: 0.001 s
% 5.63/1.92 % (902723)Peak memory usage: 87 MB
% 5.63/1.92 % (902723)Instructions burned: 1 (million)
% 5.63/1.92 % (902712)------------------------------
% 5.63/1.92 % (902712)------------------------------
% 5.63/1.92 % (902724)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2823800660:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.63/1.92 % (902724)Refutation not found, incomplete strategy
% 5.63/1.92 % (902724)------------------------------
% 5.63/1.92 % (902724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92 % (902724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92 % (902724)CaDiCaL version: 2.1.3
% 5.63/1.92 % (902724)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92 % (902724)Time elapsed: 0.002 s
% 5.63/1.92 % (902724)Peak memory usage: 88 MB
% 5.63/1.92 % (902724)Instructions burned: 2 (million)
% 5.63/1.92 % (902727)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=472050627:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.63/1.92 % (902726)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2080050116:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.63/1.92 % (902726)Refutation not found, incomplete strategy
% 5.63/1.92 % (902726)------------------------------
% 5.63/1.92 % (902726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92 % (902726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92 % (902726)CaDiCaL version: 2.1.3
% 5.63/1.92 % (902726)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92 % (902726)Time elapsed: 0.001 s
% 5.63/1.92 % (902726)Peak memory usage: 87 MB
% 5.63/1.92 % (902726)Instructions burned: 1 (million)
% 5.63/1.92 % (902727)Instruction limit reached!
% 5.63/1.92 % (902727)------------------------------
% 5.63/1.92 % (902727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92 % (902727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92 % (902727)CaDiCaL version: 2.1.3
% 5.63/1.92 % (902727)Termination reason: Instruction limit
% 5.63/1.92 % (902727)Termination phase: Saturation
% 5.63/1.92 % (902727)Time elapsed: 0.066 s
% 5.63/1.92 % (902727)Peak memory usage: 93 MB
% 5.63/1.92 % (902727)Instructions burned: 249 (million)
% 5.63/1.92 % (902723)------------------------------
% 5.63/1.92 % (902723)------------------------------
% 5.63/1.92 % (902724)------------------------------
% 5.63/1.92 % (902724)------------------------------
% 5.63/1.92 % (902731)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2040053175:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 5.63/1.92 % (902731)Refutation not found, incomplete strategy
% 5.63/1.92 % (902731)------------------------------
% 5.63/1.92 % (902731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92 % (902731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92 % (902731)CaDiCaL version: 2.1.3
% 5.63/1.92 % (902731)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92 % (902731)Time elapsed: 0.001 s
% 5.63/1.92 % (902731)Peak memory usage: 87 MB
% 5.63/1.92 % (902731)Instructions burned: 1 (million)
% 5.63/1.92 % (902709)First to succeed.
% 5.63/1.92 % (902709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-902704"
% 5.63/1.92 % (902711)Refutation not found, incomplete strategy
% 5.63/1.92 % (902711)------------------------------
% 5.63/1.92 % (902711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92 % (902711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92 % (902711)CaDiCaL version: 2.1.3
% 5.63/1.92 % (902711)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92 % (902711)Time elapsed: 0.633 s
% 5.63/1.92 % (902711)Peak memory usage: 134 MB
% 5.63/1.92 % (902711)Instructions burned: 943 (million)
% 5.63/1.92 % (902732)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3839848133:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.63/1.92 % (902726)------------------------------
% 5.63/1.92 % (902726)------------------------------
% 5.63/1.92 % (902733)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1920018708:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.63/1.92 % (902733)Refutation not found, incomplete strategy
% 5.63/1.92 % (902733)------------------------------
% 5.63/1.92 % (902733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.92 % (902733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.92 % (902733)CaDiCaL version: 2.1.3
% 5.63/1.92 % (902733)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.92 % (902733)Time elapsed: 0.013 s
% 5.63/1.92 % (902733)Peak memory usage: 89 MB
% 5.63/1.92 % (902733)Instructions burned: 23 (million)
% 5.63/1.92 % (902731)------------------------------
% 5.63/1.92 % (902731)------------------------------
% 5.63/1.92 % (902710)Also succeeded, but the first one will report.
% 5.63/1.92 % (902736)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3283174783:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 5.63/1.92 % (902709)Refutation found. Thanks to Tanya!
% 5.63/1.92 % SZS status ContradictoryAxioms for theBenchmark
% 5.63/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 7.82/2.12 % (902709)------------------------------
% 7.82/2.12 % (902709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.82/2.12 % (902709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.82/2.12 % (902709)CaDiCaL version: 2.1.3
% 7.82/2.12 % (902709)Termination reason: Refutation
% 7.82/2.12 % (902709)Time elapsed: 0.634 s
% 7.82/2.12 % (902709)Peak memory usage: 134 MB
% 7.82/2.12 % (902709)Instructions burned: 1367 (million)
% 7.82/2.12 % (902709)------------------------------
% 7.82/2.12 % (902709)------------------------------
% 7.82/2.12 % (902704)Success in time 1.036 s
% 7.82/2.12 % Vampire exiting
%------------------------------------------------------------------------------