%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP660+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 10:15:29 AM UTC 2026
% Result : Theorem 11.44s 2.55s
% Output : Refutation 12.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 8
% Syntax : Number of formulae : 102 ( 88 unt; 2 def)
% Number of atoms : 116 ( 97 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 28 ( 14 ~; 10 |; 2 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 161 ( 0 sgn 159 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X0,X1,X2] : mult(mult(mult(X2,X1),X0),X2) = mult(X2,mult(X1,mult(X0,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,conjecture,
! [X0,X1] :
( mult(X0,ld(X1,X1)) = X0
& mult(ld(X1,X1),X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f7,negated_conjecture,
~ ! [X0,X1] :
( mult(X0,ld(X1,X1)) = X0
& mult(ld(X1,X1),X0) = X0 ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
? [X0,X1] :
( mult(X0,ld(X1,X1)) != X0
| mult(ld(X1,X1),X0) != X0 ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( sK0 != mult(sK0,ld(sK1,sK1))
| sK0 != mult(ld(sK1,sK1),sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8]) ).
fof(f10,plain,
! [X0,X1] : mult(X1,ld(X1,X0)) = X0,
inference(cnf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1] : ld(X1,mult(X1,X0)) = X0,
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0,X1] : mult(rd(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] : rd(mult(X1,X0),X0) = X1,
inference(cnf_transformation,[],[f4]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(mult(mult(X2,X1),X0),X2) = mult(X2,mult(X1,mult(X0,X2))),
inference(cnf_transformation,[],[f5]) ).
fof(f15,plain,
( sK0 != mult(sK0,ld(sK1,sK1))
| sK0 != mult(ld(sK1,sK1),sK0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,definition,
( spl2_1
<=> sK0 = mult(ld(sK1,sK1),sK0) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f18,plain,
( sK0 != mult(ld(sK1,sK1),sK0)
| spl2_1 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f20,definition,
( spl2_2
<=> sK0 = mult(sK0,ld(sK1,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f21,plain,
( sK0 != mult(sK0,ld(sK1,sK1))
| spl2_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f22,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f15,f20,f17]) ).
fof(f23,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f11,f12]) ).
fof(f24,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),mult(X2,X1))) = mult(mult(X0,X2),X1),
inference(superposition,[],[f14,f10]) ).
fof(f29,plain,
! [X2,X0,X1] : ld(mult(mult(X0,X1),X2),mult(X0,mult(X1,mult(X2,X0)))) = X0,
inference(superposition,[],[f11,f14]) ).
fof(f30,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f13,f10]) ).
fof(f31,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = rd(mult(X0,mult(X1,mult(X2,X0))),X0),
inference(superposition,[],[f13,f14]) ).
fof(f41,plain,
! [X2,X0,X1] : mult(ld(X2,X0),mult(X1,X2)) = ld(X2,mult(mult(X0,X1),X2)),
inference(superposition,[],[f11,f24]) ).
fof(f51,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,mult(X2,X1))),X2) = rd(mult(X1,X0),X1),
inference(superposition,[],[f31,f12]) ).
fof(f61,plain,
! [X2,X0,X1] : rd(mult(X1,X2),X1) = mult(mult(X1,rd(X2,X0)),rd(X0,X1)),
inference(superposition,[],[f51,f12]) ).
fof(f77,plain,
! [X2,X0,X1] : mult(ld(X1,X2),mult(ld(X2,X0),X1)) = ld(X1,mult(X0,X1)),
inference(superposition,[],[f41,f10]) ).
fof(f79,plain,
! [X2,X0,X1] : ld(X1,mult(X0,X1)) = mult(ld(X1,rd(X0,X2)),mult(X2,X1)),
inference(superposition,[],[f41,f12]) ).
fof(f94,plain,
! [X2,X0,X1] : ld(X1,mult(X2,X1)) = mult(X0,mult(ld(mult(X1,X0),X2),X1)),
inference(superposition,[],[f77,f11]) ).
fof(f105,plain,
! [X2,X0,X1] : mult(ld(X2,X1),X0) = ld(ld(X0,X2),ld(X0,mult(X1,X0))),
inference(superposition,[],[f11,f77]) ).
fof(f160,plain,
! [X2,X0,X1] : mult(ld(X1,rd(X0,X2)),X2) = ld(ld(X2,X1),ld(X2,X0)),
inference(superposition,[],[f105,f12]) ).
fof(f161,plain,
! [X0,X1] : mult(ld(X1,X0),X0) = ld(ld(X0,X1),X0),
inference(superposition,[],[f105,f11]) ).
fof(f178,plain,
! [X0,X1] : ld(X0,X1) = mult(ld(mult(X1,X0),X1),X1),
inference(superposition,[],[f161,f11]) ).
fof(f206,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = rd(ld(X0,X1),X1),
inference(superposition,[],[f13,f178]) ).
fof(f249,plain,
! [X2,X0,X1] : ld(X0,ld(X1,X2)) = mult(ld(mult(X1,X0),rd(X2,X1)),X1),
inference(superposition,[],[f160,f11]) ).
fof(f320,plain,
! [X2,X0,X1] : ld(ld(X1,X0),mult(X2,ld(X1,X0))) = mult(ld(ld(X1,X0),rd(X2,X1)),X0),
inference(superposition,[],[f79,f10]) ).
fof(f1074,plain,
! [X0,X1] : ld(ld(X1,X0),X0) = mult(ld(ld(X1,X0),rd(X1,X1)),X0),
inference(superposition,[],[f320,f10]) ).
fof(f1143,plain,
! [X0,X1] : ld(ld(X0,X1),rd(X0,X0)) = rd(ld(ld(X0,X1),X1),X1),
inference(superposition,[],[f13,f1074]) ).
fof(f1177,plain,
! [X0,X1] : ld(ld(X0,X1),rd(X0,X0)) = ld(mult(X1,ld(X0,X1)),X1),
inference(forward_demodulation,[],[f1143,f206]) ).
fof(f1193,plain,
! [X0,X1] : ld(X0,rd(X1,X1)) = ld(mult(mult(X1,X0),X0),mult(X1,X0)),
inference(superposition,[],[f1177,f11]) ).
fof(f1204,plain,
! [X0,X1] : ld(mult(X1,X0),X1) = ld(X0,rd(rd(X1,X0),rd(X1,X0))),
inference(superposition,[],[f1177,f23]) ).
fof(f1205,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),rd(X0,X0)),
inference(superposition,[],[f1177,f10]) ).
fof(f1208,plain,
! [X0,X1] : rd(X1,X1) = mult(ld(X1,X0),ld(mult(X0,ld(X1,X0)),X0)),
inference(superposition,[],[f10,f1177]) ).
fof(f1273,plain,
! [X0] : rd(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(superposition,[],[f10,f1205]) ).
fof(f2272,plain,
! [X0,X1] : rd(rd(X1,X0),rd(X1,X0)) = mult(X0,ld(mult(X1,X0),X1)),
inference(superposition,[],[f1208,f23]) ).
fof(f3527,plain,
! [X0] : ld(rd(X0,X0),rd(X0,X0)) = ld(rd(mult(X0,X0),X0),mult(X0,rd(X0,X0))),
inference(superposition,[],[f1193,f61]) ).
fof(f3615,plain,
! [X0] : ld(rd(X0,X0),rd(X0,X0)) = ld(X0,mult(X0,rd(X0,X0))),
inference(forward_demodulation,[],[f3527,f13]) ).
fof(f3628,plain,
! [X0] : rd(X0,X0) = ld(rd(X0,X0),rd(X0,X0)),
inference(forward_demodulation,[],[f3615,f11]) ).
fof(f3641,plain,
! [X0] : rd(X0,X0) = rd(rd(X0,X0),rd(X0,X0)),
inference(superposition,[],[f30,f3628]) ).
fof(f3683,plain,
! [X0] : rd(X0,X0) = mult(X0,ld(mult(X0,X0),X0)),
inference(forward_demodulation,[],[f3641,f2272]) ).
fof(f3722,plain,
! [X0] : rd(mult(X0,X0),mult(X0,X0)) = mult(ld(mult(X0,X0),X0),ld(rd(X0,X0),X0)),
inference(superposition,[],[f1208,f3683]) ).
fof(f3785,plain,
! [X0] : mult(ld(mult(X0,X0),X0),X0) = rd(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f3722,f23]) ).
fof(f3803,plain,
! [X0] : ld(X0,X0) = rd(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f3785,f178]) ).
fof(f3820,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = rd(rd(X0,X0),rd(X0,X0)),
inference(superposition,[],[f3803,f1273]) ).
fof(f3828,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(superposition,[],[f3628,f3803]) ).
fof(f3850,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,rd(X0,X0)),X0),
inference(forward_demodulation,[],[f3828,f160]) ).
fof(f3852,plain,
! [X0] : ld(ld(X0,X0),ld(X0,X0)) = mult(X0,ld(mult(X0,X0),X0)),
inference(forward_demodulation,[],[f3820,f2272]) ).
fof(f3855,plain,
! [X0] : rd(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f3852,f3683]) ).
fof(f3856,plain,
! [X0] : rd(X0,X0) = mult(ld(X0,rd(X0,X0)),X0),
inference(forward_demodulation,[],[f3855,f160]) ).
fof(f3857,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[],[f3856,f3850]) ).
fof(f3867,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(superposition,[],[f12,f3857]) ).
fof(f3879,plain,
! [X0] : ld(mult(X0,X0),X0) = ld(X0,rd(ld(X0,X0),ld(X0,X0))),
inference(superposition,[],[f1204,f3857]) ).
fof(f3900,plain,
! [X0] : ld(mult(X0,X0),X0) = ld(X0,ld(ld(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[],[f3879,f3857]) ).
fof(f3916,plain,
! [X0] : ld(mult(X0,X0),X0) = ld(X0,mult(ld(X0,rd(X0,X0)),X0)),
inference(forward_demodulation,[],[f3900,f160]) ).
fof(f3923,plain,
! [X0] : ld(mult(X0,X0),X0) = ld(X0,ld(X0,X0)),
inference(forward_demodulation,[],[f3916,f3850]) ).
fof(f3950,plain,
! [X0,X1] : ld(ld(X0,X0),mult(X1,ld(X0,X0))) = mult(X0,mult(ld(X0,X1),ld(X0,X0))),
inference(superposition,[],[f94,f3867]) ).
fof(f3958,plain,
! [X0,X1] : ld(X0,ld(ld(X0,X0),X1)) = mult(ld(X0,rd(X1,ld(X0,X0))),ld(X0,X0)),
inference(superposition,[],[f249,f3867]) ).
fof(f3997,plain,
! [X0,X1] : mult(ld(ld(X0,X0),rd(X1,X0)),X0) = mult(X0,mult(ld(X0,X1),ld(X0,X0))),
inference(forward_demodulation,[],[f3950,f320]) ).
fof(f4036,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,ld(X0,X0)),X0),
inference(superposition,[],[f178,f3923]) ).
fof(f4139,plain,
! [X0] : mult(ld(X0,X0),ld(X0,X0)) = ld(X0,mult(ld(X0,X0),X0)),
inference(superposition,[],[f77,f4036]) ).
fof(f4208,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f4139,f3867]) ).
fof(f4279,plain,
! [X0,X1] : mult(mult(X1,ld(X0,X0)),ld(X0,X0)) = mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),ld(X0,X0))),
inference(superposition,[],[f24,f4208]) ).
fof(f4291,plain,
! [X0,X1] : ld(ld(X0,X0),mult(X1,ld(X0,X0))) = mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),ld(X0,X0))),
inference(superposition,[],[f94,f4208]) ).
fof(f4324,plain,
! [X0,X1] : mult(ld(ld(X0,X0),rd(X1,X0)),X0) = mult(ld(X0,X0),mult(ld(ld(X0,X0),X1),ld(X0,X0))),
inference(forward_demodulation,[],[f4291,f320]) ).
fof(f4356,plain,
! [X0,X1] : mult(ld(ld(X0,X0),rd(X1,X0)),X0) = mult(mult(X1,ld(X0,X0)),ld(X0,X0)),
inference(forward_demodulation,[],[f4324,f4279]) ).
fof(f4381,plain,
! [X0,X1] : mult(mult(X1,ld(X0,X0)),ld(X0,X0)) = mult(X0,mult(ld(X0,X1),ld(X0,X0))),
inference(forward_demodulation,[],[f4356,f3997]) ).
fof(f5223,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(X1,mult(ld(X1,rd(X0,ld(X1,X1))),ld(X1,X1))),
inference(superposition,[],[f4381,f12]) ).
fof(f5306,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(X1,ld(X1,ld(ld(X1,X1),X0))),
inference(forward_demodulation,[],[f5223,f3958]) ).
fof(f5336,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = ld(ld(X1,X1),X0),
inference(forward_demodulation,[],[f5306,f10]) ).
fof(f5440,plain,
! [X0,X1] : mult(ld(X1,X1),mult(X0,ld(X1,X1))) = X0,
inference(superposition,[],[f10,f5336]) ).
fof(f5470,plain,
! [X0,X1] : mult(mult(ld(X0,X0),X1),ld(X0,X0)) = X1,
inference(superposition,[],[f11,f5336]) ).
fof(f5653,plain,
! [X0,X1] : ld(X1,X1) = ld(X0,mult(ld(X1,X1),mult(X0,mult(ld(X1,X1),ld(X1,X1))))),
inference(superposition,[],[f29,f5470]) ).
fof(f5655,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(ld(X1,X1),mult(X0,mult(ld(X1,X1),ld(X1,X1)))),
inference(superposition,[],[f14,f5470]) ).
fof(f5719,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(ld(X1,X1),mult(X0,rd(X1,X1))),
inference(forward_demodulation,[],[f5655,f1273]) ).
fof(f5721,plain,
! [X0,X1] : ld(X1,X1) = ld(X0,mult(ld(X1,X1),mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[],[f5653,f1273]) ).
fof(f5754,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = mult(ld(X1,X1),mult(X0,ld(X1,X1))),
inference(forward_demodulation,[],[f5719,f3857]) ).
fof(f5756,plain,
! [X0,X1] : ld(X1,X1) = ld(X0,mult(ld(X1,X1),mult(X0,ld(X1,X1)))),
inference(forward_demodulation,[],[f5721,f3857]) ).
fof(f5777,plain,
! [X0,X1] : mult(X0,ld(X1,X1)) = X0,
inference(forward_demodulation,[],[f5754,f5440]) ).
fof(f5779,plain,
! [X0,X1] : ld(X1,X1) = ld(X0,X0),
inference(forward_demodulation,[],[f5756,f5440]) ).
fof(f5892,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = X1,
inference(superposition,[],[f5470,f5777]) ).
fof(f6163,plain,
( ! [X0] : sK0 != mult(ld(X0,X0),sK0)
| spl2_1 ),
inference(superposition,[],[f18,f5779]) ).
fof(f6255,plain,
( $false
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f6163,f5892]) ).
fof(f6256,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f6255]) ).
fof(f6366,plain,
( $false
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f21,f5777]) ).
fof(f6367,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f6366]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f22]) ).
cnf(s3,plain,
spl2_1,
inference(sat_conversion,[],[f6256]) ).
cnf(s4,plain,
spl2_2,
inference(sat_conversion,[],[f6367]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f6368,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP660+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n009.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 10:33:00 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.53/2.27 % (1835935)Detected formulas, will run a generic FOF schedule.
% 9.53/2.27 % (1835944)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2207249260:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.53/2.27 % (1835940)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=1562239838:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.53/2.27 % (1835943)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=919997020:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.53/2.27 % (1835941)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=22067831:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.53/2.27 % (1835942)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=1910478405:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.53/2.27 % (1835943)Refutation not found, incomplete strategy
% 9.53/2.27 % (1835943)------------------------------
% 9.53/2.27 % (1835943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.27 % (1835943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.27 % (1835943)CaDiCaL version: 2.1.3
% 9.53/2.27 % (1835943)Termination reason: Refutation not found, incomplete strategy
% 9.53/2.27 % (1835943)Time elapsed: 0.001 s
% 9.53/2.27 % (1835943)Peak memory usage: 88 MB
% 9.53/2.27 % (1835946)dis-21_1_sil=8000:lcm=predicate:random_seed=835398484: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)
% 9.53/2.27 % (1835945)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3197516011:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.53/2.27 % (1835944)Instruction limit reached!
% 9.53/2.27 % (1835944)------------------------------
% 9.53/2.27 % (1835944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.27 % (1835944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.27 % (1835944)CaDiCaL version: 2.1.3
% 9.53/2.27 % (1835944)Termination reason: Instruction limit
% 9.53/2.27 % (1835944)Termination phase: Saturation
% 9.53/2.27 % (1835944)Time elapsed: 0.039 s
% 9.53/2.27 % (1835944)Peak memory usage: 89 MB
% 9.53/2.27 % (1835944)Instructions burned: 121 (million)
% 9.53/2.27 % (1835946)Refutation not found, incomplete strategy
% 9.53/2.27 % (1835946)------------------------------
% 9.53/2.27 % (1835946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.27 % (1835946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.27 % (1835946)CaDiCaL version: 2.1.3
% 9.53/2.27 % (1835946)Termination reason: Refutation not found, incomplete strategy
% 9.53/2.27 % (1835946)Time elapsed: 0.001 s
% 9.53/2.27 % (1835946)Peak memory usage: 88 MB
% 9.53/2.27 % (1835945)Instruction limit reached!
% 9.53/2.27 % (1835945)------------------------------
% 9.53/2.27 % (1835945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.27 % (1835945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.27 % (1835945)CaDiCaL version: 2.1.3
% 9.53/2.27 % (1835945)Termination reason: Instruction limit
% 9.53/2.27 % (1835945)Termination phase: Saturation
% 9.53/2.27 % (1835945)Time elapsed: 0.084 s
% 9.53/2.27 % (1835945)Peak memory usage: 89 MB
% 9.53/2.27 % (1835945)Instructions burned: 140 (million)
% 9.53/2.27 % (1835954)lrs+10_1_sil=8000:sp=occurrence:random_seed=310784979:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.53/2.27 % (1835954)Instruction limit reached!
% 9.53/2.27 % (1835954)------------------------------
% 9.53/2.27 % (1835954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.53/2.27 % (1835954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.53/2.27 % (1835954)CaDiCaL version: 2.1.3
% 9.53/2.27 % (1835954)Termination reason: Instruction limit
% 9.53/2.27 % (1835954)Termination phase: Saturation
% 9.53/2.27 % (1835954)Time elapsed: 0.098 s
% 9.53/2.27 % (1835954)Peak memory usage: 92 MB
% 9.53/2.27 % (1835954)Instructions burned: 288 (million)
% 9.53/2.27 % (1835955)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3932033377:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.44/2.55 % (1835943)------------------------------
% 11.44/2.55 % (1835943)------------------------------
% 11.44/2.55 % (1835946)------------------------------
% 11.44/2.55 % (1835946)------------------------------
% 11.44/2.55 % (1835957)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2651303596:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.44/2.55 % (1835955)Instruction limit reached!
% 11.44/2.55 % (1835955)------------------------------
% 11.44/2.55 % (1835955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835955)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835955)Termination reason: Instruction limit
% 11.44/2.55 % (1835955)Termination phase: Saturation
% 11.44/2.55 % (1835955)Time elapsed: 0.103 s
% 11.44/2.55 % (1835955)Peak memory usage: 91 MB
% 11.44/2.55 % (1835955)Instructions burned: 157 (million)
% 11.44/2.55 % (1835960)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2584736059:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.44/2.55 % (1835959)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=2077378278:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.44/2.55 % (1835960)Refutation not found, incomplete strategy
% 11.44/2.55 % (1835960)------------------------------
% 11.44/2.55 % (1835960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835960)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835960)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.55 % (1835960)Time elapsed: 0.001 s
% 11.44/2.55 % (1835960)Peak memory usage: 88 MB
% 11.44/2.55 % (1835957)Instruction limit reached!
% 11.44/2.55 % (1835957)------------------------------
% 11.44/2.55 % (1835957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835957)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835957)Termination reason: Instruction limit
% 11.44/2.55 % (1835957)Termination phase: Saturation
% 11.44/2.55 % (1835957)Time elapsed: 0.112 s
% 11.44/2.55 % (1835957)Peak memory usage: 93 MB
% 11.44/2.55 % (1835957)Instructions burned: 325 (million)
% 11.44/2.55 % (1835962)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1042556164:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 11.44/2.55 % (1835965)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3566338977:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.44/2.55 % (1835965)Refutation not found, incomplete strategy
% 11.44/2.55 % (1835965)------------------------------
% 11.44/2.55 % (1835965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835965)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835965)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.55 % (1835965)Time elapsed: 0.001 s
% 11.44/2.55 % (1835965)Peak memory usage: 88 MB
% 11.44/2.55 % (1835959)Instruction limit reached!
% 11.44/2.55 % (1835959)------------------------------
% 11.44/2.55 % (1835959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835959)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835959)Termination reason: Instruction limit
% 11.44/2.55 % (1835959)Termination phase: Saturation
% 11.44/2.55 % (1835959)Time elapsed: 0.162 s
% 11.44/2.55 % (1835959)Peak memory usage: 92 MB
% 11.44/2.55 % (1835959)Instructions burned: 248 (million)
% 11.44/2.55 % (1835942)Refutation not found, incomplete strategy
% 11.44/2.55 % (1835942)------------------------------
% 11.44/2.55 % (1835942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835942)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835942)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.55 % (1835942)Time elapsed: 0.600 s
% 11.44/2.55 % (1835942)Peak memory usage: 127 MB
% 11.44/2.55 % (1835942)Instructions burned: 888 (million)
% 11.44/2.55 % (1835960)------------------------------
% 11.44/2.55 % (1835960)------------------------------
% 11.44/2.55 % (1835965)------------------------------
% 11.44/2.55 % (1835965)------------------------------
% 11.44/2.55 % (1835968)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2988234887:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.44/2.55 % (1835968)Refutation not found, incomplete strategy
% 11.44/2.55 % (1835968)------------------------------
% 11.44/2.55 % (1835968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835968)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835968)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.55 % (1835968)Time elapsed: 0.001 s
% 11.44/2.55 % (1835968)Peak memory usage: 87 MB
% 11.44/2.55 % (1835969)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3469857451:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 11.44/2.55 % (1835969)Refutation not found, incomplete strategy
% 11.44/2.55 % (1835969)------------------------------
% 11.44/2.55 % (1835969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835969)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835969)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.55 % (1835969)Time elapsed: 0.001 s
% 11.44/2.55 % (1835969)Peak memory usage: 88 MB
% 11.44/2.55 % (1835970)lrs+10_1_sil=8000:sp=occurrence:random_seed=3192403517:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.44/2.55 % (1835942)------------------------------
% 11.44/2.55 % (1835942)------------------------------
% 11.44/2.55 % (1835968)------------------------------
% 11.44/2.55 % (1835968)------------------------------
% 11.44/2.55 % (1835974)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1515166471:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 11.44/2.55 % (1835974)Refutation not found, incomplete strategy
% 11.44/2.55 % (1835974)------------------------------
% 11.44/2.55 % (1835974)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835974)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835974)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.55 % (1835974)Time elapsed: 0.001 s
% 11.44/2.55 % (1835974)Peak memory usage: 88 MB
% 11.44/2.55 % (1835969)------------------------------
% 11.44/2.55 % (1835969)------------------------------
% 11.44/2.55 % (1835975)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=8786051:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.44/2.55 % (1835970)Instruction limit reached!
% 11.44/2.55 % (1835970)------------------------------
% 11.44/2.55 % (1835970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835970)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835970)Termination reason: Instruction limit
% 11.44/2.55 % (1835970)Termination phase: Saturation
% 11.44/2.55 % (1835970)Time elapsed: 0.317 s
% 11.44/2.55 % (1835970)Peak memory usage: 101 MB
% 11.44/2.55 % (1835970)Instructions burned: 909 (million)
% 11.44/2.55 % (1835977)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2507165869:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 11.44/2.55 % (1835977)Refutation not found, incomplete strategy
% 11.44/2.55 % (1835977)------------------------------
% 11.44/2.55 % (1835977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835977)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835977)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.55 % (1835977)Time elapsed: 0.001 s
% 11.44/2.55 % (1835977)Peak memory usage: 89 MB
% 11.44/2.55 % (1835979)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1055459174:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 11.44/2.55 % (1835974)------------------------------
% 11.44/2.55 % (1835974)------------------------------
% 11.44/2.55 % (1835941)First to succeed.
% 11.44/2.55 % (1835941)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1835935"
% 11.44/2.55 % (1835940)Also succeeded, but the first one will report.
% 11.44/2.55 % (1835979)Instruction limit reached!
% 11.44/2.55 % (1835979)------------------------------
% 11.44/2.55 % (1835979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835979)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835979)Termination reason: Instruction limit
% 11.44/2.55 % (1835979)Termination phase: Saturation
% 11.44/2.55 % (1835979)Time elapsed: 0.174 s
% 11.44/2.55 % (1835979)Peak memory usage: 93 MB
% 11.44/2.55 % (1835979)Instructions burned: 595 (million)
% 11.44/2.55 % (1835982)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=449881258:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 11.44/2.55 % (1835977)------------------------------
% 11.44/2.55 % (1835977)------------------------------
% 11.44/2.55 % (1835962)Also succeeded, but the first one will report.
% 11.44/2.55 % (1835983)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=137578876:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 11.44/2.55 % (1835983)Instruction limit reached!
% 11.44/2.55 % (1835983)------------------------------
% 11.44/2.55 % (1835983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.44/2.55 % (1835983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.55 % (1835983)CaDiCaL version: 2.1.3
% 11.44/2.55 % (1835983)Termination reason: Instruction limit
% 11.44/2.55 % (1835983)Termination phase: Saturation
% 11.44/2.55 % (1835983)Time elapsed: 0.045 s
% 11.44/2.55 % (1835983)Peak memory usage: 90 MB
% 11.44/2.55 % (1835983)Instructions burned: 127 (million)
% 11.44/2.55 % (1835985)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=126742417:i=134:gtgl=5:slsql=off:gtg=exists_sym_2984 on theBenchmark for (2984ds/134Mi)
% 11.44/2.55 % (1835941)Refutation found. Thanks to Tanya!
% 11.44/2.55 % SZS status Theorem for theBenchmark
% 11.44/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 12.32/2.65 % (1835941)------------------------------
% 12.32/2.65 % (1835941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.32/2.65 % (1835941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.32/2.65 % (1835941)CaDiCaL version: 2.1.3
% 12.32/2.65 % (1835941)Termination reason: Refutation
% 12.32/2.65 % (1835941)Time elapsed: 1.255 s
% 12.32/2.65 % (1835941)Peak memory usage: 140 MB
% 12.32/2.65 % (1835941)Instructions burned: 1975 (million)
% 12.32/2.65 % (1835941)------------------------------
% 12.32/2.65 % (1835941)------------------------------
% 12.32/2.65 % (1835935)Success in time 1.676 s
% 12.32/2.65 % Vampire exiting
%------------------------------------------------------------------------------