%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU406+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 19.24s 11.25s
% Output : Refutation 31.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 72 ( 16 unt; 6 def)
% Number of atoms : 282 ( 22 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 347 ( 137 ~; 131 |; 69 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 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/sandbox/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/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f66033,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/sandbox/benchmark/theBenchmark.p',t1_latsum_1) ).
fof(f66034,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)],[f66033]) ).
fof(f66074,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,[],[f66034]) ).
fof(f66199,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)],[f66074]) ).
fof(f66232,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(f66233,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,[],[f66232]) ).
fof(f66234,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,[],[f66233]) ).
fof(f66235,plain,
! [X0,X1,X2] :
( ( X2 = k2_xboole_0(X0,X1)
| ( ( ( ~ r2_hidden(sK21(X0,X1,X2),X0)
& ~ r2_hidden(sK21(X0,X1,X2),X1) )
| ~ r2_hidden(sK21(X0,X1,X2),X2) )
& ( r2_hidden(sK21(X0,X1,X2),X0)
| r2_hidden(sK21(X0,X1,X2),X1)
| r2_hidden(sK21(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,[sK21]),skolemize(X3,sK21(X0,X1,X2))],[f66234]) ).
fof(f66263,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(f66264,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,[],[f66263]) ).
fof(f66265,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,[],[f66264]) ).
fof(f66266,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK30(X0,X1,X2),X0)
| r2_hidden(sK30(X0,X1,X2),X1)
| ~ r2_hidden(sK30(X0,X1,X2),X2) )
& ( ( r2_hidden(sK30(X0,X1,X2),X0)
& ~ r2_hidden(sK30(X0,X1,X2),X1) )
| r2_hidden(sK30(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,[sK30]),skolemize(X3,sK30(X0,X1,X2))],[f66265]) ).
fof(f66268,plain,
( ~ r2_hidden(sK0,sK3)
| ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3)) ),
inference(cnf_transformation,[],[f66199]) ).
fof(f66269,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK1,sK3) ),
inference(cnf_transformation,[],[f66199]) ).
fof(f66270,plain,
( ~ r2_hidden(sK0,sK3)
| ~ r2_hidden(sK1,sK3) ),
inference(cnf_transformation,[],[f66199]) ).
fof(f66271,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3)) ),
inference(cnf_transformation,[],[f66199]) ).
fof(f66272,plain,
r2_hidden(sK1,k2_xboole_0(sK2,sK3)),
inference(cnf_transformation,[],[f66199]) ).
fof(f66273,plain,
r2_hidden(sK0,k2_xboole_0(sK2,sK3)),
inference(cnf_transformation,[],[f66199]) ).
fof(f66388,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f66389,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,[],[f66235]) ).
fof(f66520,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,[],[f66266]) ).
fof(f66569,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X0)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,k2_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f66389]) ).
fof(f66578,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f66520]) ).
fof(f66662,plain,
r2_hidden(sK1,k2_xboole_0(sK3,sK2)),
inference(forward_demodulation,[],[f66272,f66388]) ).
fof(f66663,plain,
r2_hidden(sK0,k2_xboole_0(sK3,sK2)),
inference(forward_demodulation,[],[f66273,f66388]) ).
fof(f66665,definition,
( spl69_1
<=> r2_hidden(sK1,k4_xboole_0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl69_1])],[avatar_definition]) ).
fof(f66667,plain,
( ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3))
| spl69_1 ),
inference(avatar_component_clause,[],[f66665]) ).
fof(f66669,definition,
( spl69_2
<=> r2_hidden(sK0,k4_xboole_0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl69_2])],[avatar_definition]) ).
fof(f66671,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| spl69_2 ),
inference(avatar_component_clause,[],[f66669]) ).
fof(f66672,plain,
( ~ spl69_1
| ~ spl69_2 ),
inference(avatar_split_clause,[],[f66271,f66669,f66665]) ).
fof(f66673,plain,
( ~ r2_hidden(sK1,sK2)
| r2_hidden(sK1,sK3)
| spl69_1 ),
inference(resolution,[],[f66667,f66578]) ).
fof(f66712,definition,
( spl69_3
<=> r2_hidden(sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl69_3])],[avatar_definition]) ).
fof(f66714,plain,
( ~ r2_hidden(sK1,sK3)
| spl69_3 ),
inference(avatar_component_clause,[],[f66712]) ).
fof(f66715,plain,
( ~ spl69_3
| ~ spl69_2 ),
inference(avatar_split_clause,[],[f66269,f66669,f66712]) ).
fof(f66716,plain,
( ~ r2_hidden(sK0,sK2)
| r2_hidden(sK0,sK3)
| spl69_2 ),
inference(resolution,[],[f66671,f66578]) ).
fof(f66755,definition,
( spl69_4
<=> r2_hidden(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl69_4])],[avatar_definition]) ).
fof(f66757,plain,
( ~ r2_hidden(sK0,sK3)
| spl69_4 ),
inference(avatar_component_clause,[],[f66755]) ).
fof(f66758,plain,
( ~ spl69_1
| ~ spl69_4 ),
inference(avatar_split_clause,[],[f66268,f66755,f66665]) ).
fof(f66759,plain,
( ~ spl69_3
| ~ spl69_4 ),
inference(avatar_split_clause,[],[f66270,f66755,f66712]) ).
fof(f66760,plain,
( ~ r2_hidden(sK1,sK2)
| spl69_1
| spl69_3 ),
inference(backward_subsumption_resolution,[],[f66673,f66714]) ).
fof(f66792,definition,
( spl69_5
<=> r2_hidden(sK1,k2_xboole_0(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl69_5])],[avatar_definition]) ).
fof(f66794,plain,
( r2_hidden(sK1,k2_xboole_0(sK3,sK2))
| ~ spl69_5 ),
inference(avatar_component_clause,[],[f66792]) ).
fof(f66795,plain,
spl69_5,
inference(avatar_split_clause,[],[f66662,f66792]) ).
fof(f66796,plain,
( r2_hidden(sK1,sK3)
| r2_hidden(sK1,sK2)
| ~ spl69_5 ),
inference(resolution,[],[f66794,f66569]) ).
fof(f66862,plain,
( r2_hidden(sK1,sK2)
| spl69_3
| ~ spl69_5 ),
inference(forward_subsumption_resolution,[],[f66796,f66714]) ).
fof(f66865,plain,
( $false
| spl69_1
| spl69_3
| ~ spl69_5 ),
inference(forward_subsumption_resolution,[],[f66862,f66760]) ).
fof(f66866,plain,
( spl69_1
| spl69_3
| ~ spl69_5 ),
inference(avatar_contradiction_clause,[],[f66865]) ).
fof(f66867,plain,
( ~ r2_hidden(sK0,sK2)
| spl69_2
| spl69_4 ),
inference(backward_subsumption_resolution,[],[f66716,f66757]) ).
fof(f66899,definition,
( spl69_6
<=> r2_hidden(sK0,k2_xboole_0(sK3,sK2)) ),
introduced(definition,[new_symbols(definition,[spl69_6])],[avatar_definition]) ).
fof(f66901,plain,
( r2_hidden(sK0,k2_xboole_0(sK3,sK2))
| ~ spl69_6 ),
inference(avatar_component_clause,[],[f66899]) ).
fof(f66902,plain,
spl69_6,
inference(avatar_split_clause,[],[f66663,f66899]) ).
fof(f66903,plain,
( r2_hidden(sK0,sK3)
| r2_hidden(sK0,sK2)
| ~ spl69_6 ),
inference(resolution,[],[f66901,f66569]) ).
fof(f66969,plain,
( r2_hidden(sK0,sK2)
| spl69_4
| ~ spl69_6 ),
inference(forward_subsumption_resolution,[],[f66903,f66757]) ).
fof(f66972,plain,
( $false
| spl69_2
| spl69_4
| ~ spl69_6 ),
inference(forward_subsumption_resolution,[],[f66969,f66867]) ).
fof(f66973,plain,
( spl69_2
| spl69_4
| ~ spl69_6 ),
inference(avatar_contradiction_clause,[],[f66972]) ).
cnf(s1,plain,
( ~ spl69_1
| ~ spl69_2 ),
inference(sat_conversion,[],[f66672]) ).
cnf(s2,plain,
( ~ spl69_2
| ~ spl69_3 ),
inference(sat_conversion,[],[f66715]) ).
cnf(s3,plain,
( ~ spl69_1
| ~ spl69_4 ),
inference(sat_conversion,[],[f66758]) ).
cnf(s4,plain,
( ~ spl69_3
| ~ spl69_4 ),
inference(sat_conversion,[],[f66759]) ).
cnf(s5,plain,
spl69_5,
inference(sat_conversion,[],[f66795]) ).
cnf(s6,plain,
( spl69_1
| spl69_3
| ~ spl69_5 ),
inference(sat_conversion,[],[f66866]) ).
cnf(s7,plain,
spl69_6,
inference(sat_conversion,[],[f66902]) ).
cnf(s8,plain,
( spl69_2
| spl69_4
| ~ spl69_6 ),
inference(sat_conversion,[],[f66973]) ).
cnf(s9,plain,
~ spl69_3,
inference(rat,[],[s8,s2,s4,s7]) ).
cnf(s10,plain,
spl69_1,
inference(rat,[],[s6,s5,s9]) ).
cnf(s11,plain,
~ spl69_4,
inference(rat,[],[s3,s10]) ).
cnf(s12,plain,
~ spl69_2,
inference(rat,[],[s1,s10]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s8,s7,s11,s12]) ).
fof(f66974,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU406+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.43 % Computer : n013.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Mon Sep 28 05:10:03 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.49 Running first-order theorem proving
% 0.24/0.49 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
% 19.24/11.25 % (824060)Detected formulas, will run a generic FOF schedule.
% 19.24/11.25 % (824071)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=1603938403:i=141193_2931 on theBenchmark for (2931ds/141193Mi)
% 19.24/11.25 % (824072)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=1112404775:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2931 on theBenchmark for (2931ds/134677Mi)
% 19.24/11.25 % (824076)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=105424236:s2a=on:i=139:gtg=position_2931 on theBenchmark for (2931ds/139Mi)
% 19.24/11.25 % (824074)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4015156304:i=109:sd=1:ins=1:gsp=on:ss=axioms_2931 on theBenchmark for (2931ds/109Mi)
% 19.24/11.25 % (824073)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=3421764051:i=141695:sd=1:nm=32:gsp=on:ss=included_2931 on theBenchmark for (2931ds/141695Mi)
% 19.24/11.25 % (824077)dis-21_1_sil=8000:lcm=predicate:random_seed=717471565:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2931 on theBenchmark for (2931ds/129Mi)
% 19.24/11.25 % (824075)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=365516333:i=119:av=off:ss=axioms_2931 on theBenchmark for (2931ds/119Mi)
% 19.24/11.25 % (824074)Instruction limit reached!
% 19.24/11.25 % (824074)------------------------------
% 19.24/11.25 % (824074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824074)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824074)Termination reason: Instruction limit
% 19.24/11.25 % (824074)Termination phase: SInE selection
% 19.24/11.25 % (824074)Time elapsed: 0.120 s
% 19.24/11.25 % (824074)Peak memory usage: 193 MB
% 19.24/11.25 % (824074)Instructions burned: 109 (million)
% 19.24/11.25 % (824076)Instruction limit reached!
% 19.24/11.25 % (824076)------------------------------
% 19.24/11.25 % (824076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824076)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824076)Termination reason: Instruction limit
% 19.24/11.25 % (824076)Termination phase: Property scanning
% 19.24/11.25 % (824076)Time elapsed: 0.127 s
% 19.24/11.25 % (824076)Peak memory usage: 193 MB
% 19.24/11.25 % (824076)Instructions burned: 139 (million)
% 19.24/11.25 % (824075)Instruction limit reached!
% 19.24/11.25 % (824075)------------------------------
% 19.24/11.25 % (824075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824075)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824075)Termination reason: Instruction limit
% 19.24/11.25 % (824075)Termination phase: SInE selection
% 19.24/11.25 % (824075)Time elapsed: 0.127 s
% 19.24/11.25 % (824075)Peak memory usage: 193 MB
% 19.24/11.25 % (824075)Instructions burned: 119 (million)
% 19.24/11.25 % (824077)Instruction limit reached!
% 19.24/11.25 % (824077)------------------------------
% 19.24/11.25 % (824077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824077)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824077)Termination reason: Instruction limit
% 19.24/11.25 % (824077)Termination phase: SInE selection
% 19.24/11.25 % (824077)Time elapsed: 0.138 s
% 19.24/11.25 % (824077)Peak memory usage: 193 MB
% 19.24/11.25 % (824077)Instructions burned: 129 (million)
% 19.24/11.25 % (824085)lrs+10_1_sil=8000:sp=occurrence:random_seed=126713156:i=285:sd=3:ss=axioms:sgt=8_2927 on theBenchmark for (2927ds/285Mi)
% 19.24/11.25 % (824086)lrs+10_1_sil=32000:urr=on:br=off:random_seed=480607245:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2927 on theBenchmark for (2927ds/157Mi)
% 19.24/11.25 % (824087)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1225260636:i=325:sd=1:ss=axioms:sgt=32_2926 on theBenchmark for (2926ds/325Mi)
% 19.24/11.25 % (824088)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=2743485478:s2a=on:i=248:s2at=1.23:gtg=position_2926 on theBenchmark for (2926ds/248Mi)
% 19.24/11.25 % (824086)Instruction limit reached!
% 19.24/11.25 % (824086)------------------------------
% 19.24/11.25 % (824086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824086)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824086)Termination reason: Instruction limit
% 19.24/11.25 % (824086)Termination phase: Property scanning
% 19.24/11.25 % (824086)Time elapsed: 0.143 s
% 19.24/11.25 % (824086)Peak memory usage: 193 MB
% 19.24/11.25 % (824086)Instructions burned: 158 (million)
% 19.24/11.25 % (824085)Instruction limit reached!
% 19.24/11.25 % (824085)------------------------------
% 19.24/11.25 % (824085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824085)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824085)Termination reason: Instruction limit
% 19.24/11.25 % (824085)Termination phase: SInE selection
% 19.24/11.25 % (824085)Time elapsed: 0.301 s
% 19.24/11.25 % (824085)Peak memory usage: 193 MB
% 19.24/11.25 % (824085)Instructions burned: 285 (million)
% 19.24/11.25 % (824088)Instruction limit reached!
% 19.24/11.25 % (824088)------------------------------
% 19.24/11.25 % (824088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824088)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824088)Termination reason: Instruction limit
% 19.24/11.25 % (824088)Termination phase: Property scanning
% 19.24/11.25 % (824088)Time elapsed: 0.211 s
% 19.24/11.25 % (824088)Peak memory usage: 193 MB
% 19.24/11.25 % (824088)Instructions burned: 248 (million)
% 19.24/11.25 % (824087)Instruction limit reached!
% 19.24/11.25 % (824087)------------------------------
% 19.24/11.25 % (824087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824087)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824087)Termination reason: Instruction limit
% 19.24/11.25 % (824087)Termination phase: SInE selection
% 19.24/11.25 % (824087)Time elapsed: 0.357 s
% 19.24/11.25 % (824087)Peak memory usage: 194 MB
% 19.24/11.25 % (824087)Instructions burned: 325 (million)
% 19.24/11.25 % (824093)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3133037122:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2922 on theBenchmark for (2922ds/294Mi)
% 19.24/11.25 % (824094)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1836935956:i=2350_2921 on theBenchmark for (2921ds/2350Mi)
% 19.24/11.25 % (824095)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3982431097:cts=off:i=113:fsr=off:ss=included:sgt=4_2921 on theBenchmark for (2921ds/113Mi)
% 19.24/11.25 % (824096)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1768620978:i=127:av=off:fsr=off:sup=off_2920 on theBenchmark for (2920ds/127Mi)
% 19.24/11.25 % (824095)Instruction limit reached!
% 19.24/11.25 % (824095)------------------------------
% 19.24/11.25 % (824095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824095)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824095)Termination reason: Instruction limit
% 19.24/11.25 % (824095)Termination phase: SInE selection
% 19.24/11.25 % (824095)Time elapsed: 0.138 s
% 19.24/11.25 % (824095)Peak memory usage: 193 MB
% 19.24/11.25 % (824095)Instructions burned: 113 (million)
% 19.24/11.25 % (824093)Instruction limit reached!
% 19.24/11.25 % (824093)------------------------------
% 19.24/11.25 % (824093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824093)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824093)Termination reason: Instruction limit
% 19.24/11.25 % (824093)Termination phase: SInE selection
% 19.24/11.25 % (824093)Time elapsed: 0.301 s
% 19.24/11.25 % (824093)Peak memory usage: 193 MB
% 19.24/11.25 % (824093)Instructions burned: 295 (million)
% 19.24/11.25 % (824096)Instruction limit reached!
% 19.24/11.25 % (824096)------------------------------
% 19.24/11.25 % (824096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824096)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824096)Termination reason: Instruction limit
% 19.24/11.25 % (824096)Termination phase: Preprocessing 1
% 19.24/11.25 % (824096)Time elapsed: 0.155 s
% 19.24/11.25 % (824096)Peak memory usage: 194 MB
% 19.24/11.25 % (824096)Instructions burned: 127 (million)
% 19.24/11.25 % (824101)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1687195078:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2917 on theBenchmark for (2917ds/114Mi)
% 19.24/11.25 % (824102)lrs+10_1_sil=8000:sp=occurrence:random_seed=972422622:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2916 on theBenchmark for (2916ds/907Mi)
% 19.24/11.25 % (824101)Instruction limit reached!
% 19.24/11.25 % (824101)------------------------------
% 19.24/11.25 % (824101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824101)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824101)Termination reason: Instruction limit
% 19.24/11.25 % (824101)Termination phase: Property scanning
% 19.24/11.25 % (824101)Time elapsed: 0.106 s
% 19.24/11.25 % (824101)Peak memory usage: 193 MB
% 19.24/11.25 % (824101)Instructions burned: 115 (million)
% 19.24/11.25 % (824103)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3233704331:i=437:sd=1:aac=none:ss=included_2915 on theBenchmark for (2915ds/437Mi)
% 19.24/11.25 % (824106)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1472396951:i=5202:ss=axioms:sgt=16_2913 on theBenchmark for (2913ds/5202Mi)
% 19.24/11.25 % (824103)Instruction limit reached!
% 19.24/11.25 % (824103)------------------------------
% 19.24/11.25 % (824103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824103)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824103)Termination reason: Instruction limit
% 19.24/11.25 % (824103)Termination phase: SInE selection
% 19.24/11.25 % (824103)Time elapsed: 0.465 s
% 19.24/11.25 % (824103)Peak memory usage: 194 MB
% 19.24/11.25 % (824103)Instructions burned: 437 (million)
% 19.24/11.25 % (824109)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3198698816:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2908 on theBenchmark for (2908ds/134Mi)
% 19.24/11.25 % (824102)Instruction limit reached!
% 19.24/11.25 % (824102)------------------------------
% 19.24/11.25 % (824102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824102)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824102)Termination reason: Instruction limit
% 19.24/11.25 % (824102)Termination phase: Saturation
% 19.24/11.25 % (824102)Time elapsed: 0.983 s
% 19.24/11.25 % (824102)Peak memory usage: 202 MB
% 19.24/11.25 % (824102)Instructions burned: 907 (million)
% 19.24/11.25 % (824109)Instruction limit reached!
% 19.24/11.25 % (824109)------------------------------
% 19.24/11.25 % (824109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.24/11.25 % (824109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.24/11.25 % (824109)CaDiCaL version: 2.1.3
% 19.24/11.25 % (824109)Termination reason: Instruction limit
% 19.24/11.25 % (824109)Termination phase: SInE selection
% 19.24/11.25 % (824109)Time elapsed: 0.154 s
% 19.24/11.25 % (824109)Peak memory usage: 193 MB
% 19.24/11.25 % (824109)Instructions burned: 134 (million)
% 19.24/11.25 % (824073)First to succeed.
% 19.24/11.25 % (824073)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-824060"
% 19.24/11.25 % (824111)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3992595150:st=8:i=592:sd=3:ep=RST:ss=axioms_2903 on theBenchmark for (2903ds/592Mi)
% 19.24/11.25 % (824112)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=780982032:st=3:i=13193:sd=3:ss=axioms_2903 on theBenchmark for (2903ds/13193Mi)
% 19.24/11.25 % (824073)Refutation found. Thanks to Tanya!
% 19.24/11.25 % SZS status Theorem for theBenchmark
% 19.24/11.25 % SZS output start Proof for theBenchmark
% See solution above
% 31.10/11.54 % (824073)------------------------------
% 31.10/11.54 % (824073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.10/11.54 % (824073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.10/11.54 % (824073)CaDiCaL version: 2.1.3
% 31.10/11.54 % (824073)Termination reason: Refutation
% 31.10/11.54 % (824073)Time elapsed: 2.544 s
% 31.10/11.54 % (824073)Peak memory usage: 273 MB
% 31.10/11.54 % (824073)Instructions burned: 2404 (million)
% 31.10/11.54 % (824073)------------------------------
% 31.10/11.54 % (824073)------------------------------
% 31.10/11.54 % (824060)Success in time 10.205 s
% 31.10/11.54 % Vampire exiting
%------------------------------------------------------------------------------