%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU406+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 12:48:45 PM UTC 2026
% Result : Theorem 1.39s 1.47s
% Output : Refutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 64 ( 12 unt; 4 def)
% Number of atoms : 262 ( 22 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 323 ( 125 ~; 121 |; 69 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 76 ( 0 sgn 66 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
! [X0,X1,X2] :
( X2 = k2_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f32,axiom,
! [X0,X1,X2] :
( X2 = k4_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f4434,conjecture,
! [X0,X1,X2,X3] :
~ ( r2_hidden(X0,k2_xboole_0(X2,X3))
& r2_hidden(X1,k2_xboole_0(X2,X3))
& ~ ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,k4_xboole_0(X2,X3)) )
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,X3) )
& ~ ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,X3) )
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,k4_xboole_0(X2,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_latsum_1) ).
fof(f4435,negated_conjecture,
~ ! [X0,X1,X2,X3] :
~ ( r2_hidden(X0,k2_xboole_0(X2,X3))
& r2_hidden(X1,k2_xboole_0(X2,X3))
& ~ ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,k4_xboole_0(X2,X3)) )
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,X3) )
& ~ ( r2_hidden(X0,k4_xboole_0(X2,X3))
& r2_hidden(X1,X3) )
& ~ ( r2_hidden(X0,X3)
& r2_hidden(X1,k4_xboole_0(X2,X3)) ) ),
inference(negated_conjecture,[status(cth)],[f4434]) ).
fof(f4439,plain,
? [X0,X1,X2,X3] :
( r2_hidden(X0,k2_xboole_0(X2,X3))
& r2_hidden(X1,k2_xboole_0(X2,X3))
& ( ~ r2_hidden(X0,k4_xboole_0(X2,X3))
| ~ r2_hidden(X1,k4_xboole_0(X2,X3)) )
& ( ~ r2_hidden(X0,X3)
| ~ r2_hidden(X1,X3) )
& ( ~ r2_hidden(X0,k4_xboole_0(X2,X3))
| ~ r2_hidden(X1,X3) )
& ( ~ r2_hidden(X0,X3)
| ~ r2_hidden(X1,k4_xboole_0(X2,X3)) ) ),
inference(ennf_transformation,[],[f4435]) ).
fof(f4498,plain,
( r2_hidden(sK0,k2_xboole_0(sK2,sK3))
& r2_hidden(sK1,k2_xboole_0(sK2,sK3))
& ( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3)) )
& ( ~ r2_hidden(sK0,sK3)
| ~ r2_hidden(sK1,sK3) )
& ( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK1,sK3) )
& ( ~ r2_hidden(sK0,sK3)
| ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f4439]) ).
fof(f4504,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f4505,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f4504]) ).
fof(f4506,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ? [X3] :
( ( ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) )
& ( r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f4505]) ).
fof(f4507,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK9(X0,X1,X2),X0)
& ~ r2_hidden(sK9(X0,X1,X2),X1) )
| ~ r2_hidden(sK9(X0,X1,X2),X2) )
& ( r2_hidden(sK9(X0,X1,X2),X0)
| r2_hidden(sK9(X0,X1,X2),X1)
| r2_hidden(sK9(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) ) )
& ( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) ) )
| k2_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X3,sK9(X0,X1,X2))],[f4506]) ).
fof(f4515,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f4516,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f4515]) ).
fof(f4517,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f4516]) ).
fof(f4518,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK10(X0,X1,X2),X0)
| r2_hidden(sK10(X0,X1,X2),X1)
| ~ r2_hidden(sK10(X0,X1,X2),X2) )
& ( ( r2_hidden(sK10(X0,X1,X2),X0)
& ~ r2_hidden(sK10(X0,X1,X2),X1) )
| r2_hidden(sK10(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X3,sK10(X0,X1,X2))],[f4517]) ).
fof(f4519,plain,
( ~ r2_hidden(sK0,sK3)
| ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3)) ),
inference(cnf_transformation,[],[f4498]) ).
fof(f4520,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK1,sK3) ),
inference(cnf_transformation,[],[f4498]) ).
fof(f4521,plain,
( ~ r2_hidden(sK0,sK3)
| ~ r2_hidden(sK1,sK3) ),
inference(cnf_transformation,[],[f4498]) ).
fof(f4522,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3)) ),
inference(cnf_transformation,[],[f4498]) ).
fof(f4523,plain,
r2_hidden(sK1,k2_xboole_0(sK2,sK3)),
inference(cnf_transformation,[],[f4498]) ).
fof(f4524,plain,
r2_hidden(sK0,k2_xboole_0(sK2,sK3)),
inference(cnf_transformation,[],[f4498]) ).
fof(f4588,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f4589,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k2_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f4507]) ).
fof(f4654,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f4518]) ).
fof(f4694,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X0,X1))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f4589]) ).
fof(f4697,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f4654]) ).
fof(f4719,definition,
( spl24_1
<=> r2_hidden(sK1,k4_xboole_0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl24_1])],[avatar_definition]) ).
fof(f4721,plain,
( ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3))
| spl24_1 ),
inference(avatar_component_clause,[],[f4719]) ).
fof(f4723,definition,
( spl24_2
<=> r2_hidden(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
fof(f4725,plain,
( ~ r2_hidden(sK0,sK3)
| spl24_2 ),
inference(avatar_component_clause,[],[f4723]) ).
fof(f4726,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f4519,f4723,f4719]) ).
fof(f4728,definition,
( spl24_3
<=> r2_hidden(sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl24_3])],[avatar_definition]) ).
fof(f4730,plain,
( ~ r2_hidden(sK1,sK3)
| spl24_3 ),
inference(avatar_component_clause,[],[f4728]) ).
fof(f4732,definition,
( spl24_4
<=> r2_hidden(sK0,k4_xboole_0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl24_4])],[avatar_definition]) ).
fof(f4734,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| spl24_4 ),
inference(avatar_component_clause,[],[f4732]) ).
fof(f4735,plain,
( ~ spl24_3
| ~ spl24_4 ),
inference(avatar_split_clause,[],[f4520,f4732,f4728]) ).
fof(f4736,plain,
( ~ spl24_3
| ~ spl24_2 ),
inference(avatar_split_clause,[],[f4521,f4723,f4728]) ).
fof(f4737,plain,
( ~ spl24_1
| ~ spl24_4 ),
inference(avatar_split_clause,[],[f4522,f4732,f4719]) ).
fof(f4738,plain,
r2_hidden(sK1,k2_xboole_0(sK3,sK2)),
inference(forward_demodulation,[],[f4523,f4588]) ).
fof(f4739,plain,
r2_hidden(sK0,k2_xboole_0(sK3,sK2)),
inference(forward_demodulation,[],[f4524,f4588]) ).
fof(f4740,plain,
( ~ r2_hidden(sK1,sK2)
| r2_hidden(sK1,sK3)
| spl24_1 ),
inference(resolution,[],[f4721,f4697]) ).
fof(f4751,plain,
( ~ r2_hidden(sK1,sK2)
| spl24_1
| spl24_3 ),
inference(forward_subsumption_resolution,[],[f4740,f4730]) ).
fof(f4752,plain,
( r2_hidden(sK1,sK2)
| r2_hidden(sK1,sK3) ),
inference(resolution,[],[f4738,f4694]) ).
fof(f4762,plain,
( r2_hidden(sK1,sK3)
| spl24_1
| spl24_3 ),
inference(forward_subsumption_resolution,[],[f4752,f4751]) ).
fof(f4763,plain,
( $false
| spl24_1
| spl24_3 ),
inference(forward_subsumption_resolution,[],[f4762,f4730]) ).
fof(f4764,plain,
( spl24_1
| spl24_3 ),
inference(avatar_contradiction_clause,[],[f4763]) ).
fof(f4798,plain,
( ~ r2_hidden(sK0,sK2)
| r2_hidden(sK0,sK3)
| spl24_4 ),
inference(resolution,[],[f4734,f4697]) ).
fof(f4800,plain,
( ~ r2_hidden(sK0,sK2)
| spl24_2
| spl24_4 ),
inference(forward_subsumption_resolution,[],[f4798,f4725]) ).
fof(f4801,plain,
( r2_hidden(sK0,sK2)
| r2_hidden(sK0,sK3) ),
inference(resolution,[],[f4739,f4694]) ).
fof(f4810,plain,
( r2_hidden(sK0,sK3)
| spl24_2
| spl24_4 ),
inference(forward_subsumption_resolution,[],[f4801,f4800]) ).
fof(f4811,plain,
( $false
| spl24_2
| spl24_4 ),
inference(forward_subsumption_resolution,[],[f4810,f4725]) ).
fof(f4812,plain,
( spl24_2
| spl24_4 ),
inference(avatar_contradiction_clause,[],[f4811]) ).
cnf(s1,plain,
( ~ spl24_1
| ~ spl24_2 ),
inference(sat_conversion,[],[f4726]) ).
cnf(s2,plain,
( ~ spl24_3
| ~ spl24_4 ),
inference(sat_conversion,[],[f4735]) ).
cnf(s3,plain,
( ~ spl24_2
| ~ spl24_3 ),
inference(sat_conversion,[],[f4736]) ).
cnf(s4,plain,
( ~ spl24_1
| ~ spl24_4 ),
inference(sat_conversion,[],[f4737]) ).
cnf(s6,plain,
( spl24_1
| spl24_3 ),
inference(sat_conversion,[],[f4764]) ).
cnf(s11,plain,
( spl24_2
| spl24_4 ),
inference(sat_conversion,[],[f4812]) ).
cnf(s12,plain,
~ spl24_3,
inference(rat,[],[s11,s2,s3]) ).
cnf(s14,plain,
spl24_1,
inference(rat,[],[s6,s12]) ).
cnf(s15,plain,
~ spl24_4,
inference(rat,[],[s4,s14]) ).
cnf(s16,plain,
~ spl24_2,
inference(rat,[],[s1,s14]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s11,s15,s16]) ).
fof(f4813,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU406+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n004.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 28 05:10:08 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 1.39/1.47 % (4167631)Detected formulas, will run a generic FOF schedule.
% 1.39/1.47 % (4167640)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2037837682:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 1.39/1.47 % (4167641)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3566995091:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 1.39/1.47 % (4167639)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3839772427:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 1.39/1.47 % (4167638)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=1094295786:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 1.39/1.47 % (4167636)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=3232194790:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 1.39/1.47 % (4167637)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=1357679795:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 1.39/1.47 % (4167640)Instruction limit reached!
% 1.39/1.47 % (4167640)------------------------------
% 1.39/1.47 % (4167640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.39/1.47 % (4167640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/1.47 % (4167640)CaDiCaL version: 2.1.3
% 1.39/1.47 % (4167640)Termination reason: Instruction limit
% 1.39/1.47 % (4167640)Termination phase: Saturation
% 1.39/1.47 % (4167640)Time elapsed: 0.047 s
% 1.39/1.47 % (4167640)Peak memory usage: 94 MB
% 1.39/1.47 % (4167640)Instructions burned: 119 (million)
% 1.39/1.47 % (4167642)dis-21_1_sil=8000:lcm=predicate:random_seed=1924756225:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 1.39/1.47 % (4167639)First to succeed.
% 1.39/1.47 % (4167639)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4167631"
% 1.39/1.47 % (4167641)Instruction limit reached!
% 1.39/1.47 % (4167641)------------------------------
% 1.39/1.47 % (4167641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.39/1.47 % (4167641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/1.47 % (4167641)CaDiCaL version: 2.1.3
% 1.39/1.47 % (4167641)Termination reason: Instruction limit
% 1.39/1.47 % (4167641)Termination phase: Preprocessing 3
% 1.39/1.47 % (4167641)Time elapsed: 0.089 s
% 1.39/1.47 % (4167641)Peak memory usage: 95 MB
% 1.39/1.47 % (4167641)Instructions burned: 140 (million)
% 1.39/1.47 % (4167649)lrs+10_1_sil=8000:sp=occurrence:random_seed=1704458300:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 1.39/1.47 % (4167642)Instruction limit reached!
% 1.39/1.47 % (4167642)------------------------------
% 1.39/1.47 % (4167642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.39/1.47 % (4167642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.39/1.47 % (4167642)CaDiCaL version: 2.1.3
% 1.39/1.47 % (4167642)Termination reason: Instruction limit
% 1.39/1.47 % (4167642)Termination phase: Preprocessing 3
% 1.39/1.47 % (4167642)Time elapsed: 0.096 s
% 1.39/1.47 % (4167642)Peak memory usage: 95 MB
% 1.39/1.47 % (4167642)Instructions burned: 130 (million)
% 1.39/1.47 % (4167649)Also succeeded, but the first one will report.
% 1.39/1.47 % (4167651)lrs+10_1_sil=32000:urr=on:br=off:random_seed=978765649:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 1.39/1.47 % (4167653)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1370088553:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 1.39/1.47 % (4167639)Refutation found. Thanks to Tanya!
% 1.39/1.47 % SZS status Theorem for theBenchmark
% 1.39/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.81/1.67 % (4167639)------------------------------
% 3.81/1.67 % (4167639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.81/1.67 % (4167639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.81/1.67 % (4167639)CaDiCaL version: 2.1.3
% 3.81/1.67 % (4167639)Termination reason: Refutation
% 3.81/1.67 % (4167639)Time elapsed: 0.027 s
% 3.81/1.67 % (4167639)Peak memory usage: 95 MB
% 3.81/1.67 % (4167639)Instructions burned: 35 (million)
% 3.81/1.67 % (4167639)------------------------------
% 3.81/1.67 % (4167639)------------------------------
% 3.81/1.67 % (4167631)Success in time 0.611 s
% 3.81/1.67 % Vampire exiting
%------------------------------------------------------------------------------