%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU406+3 : 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 : 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 11.08s 4.07s
% Output : Refutation 13.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 10 unt; 4 def)
% Number of atoms : 183 ( 12 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 220 ( 90 ~; 75 |; 49 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 48 ( 0 sgn 41 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
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(f109,axiom,
! [X0,X1] : k4_xboole_0(k2_xboole_0(X0,X1),X1) = k4_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(f19023,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(f19024,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)],[f19023]) ).
fof(f19029,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,[],[f19024]) ).
fof(f19101,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)],[f19029]) ).
fof(f19130,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(f19131,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,[],[f19130]) ).
fof(f19132,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,[],[f19131]) ).
fof(f19133,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK13(X0,X1,X2),X0)
| r2_hidden(sK13(X0,X1,X2),X1)
| ~ r2_hidden(sK13(X0,X1,X2),X2) )
& ( ( r2_hidden(sK13(X0,X1,X2),X0)
& ~ r2_hidden(sK13(X0,X1,X2),X1) )
| r2_hidden(sK13(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,[sK13]),skolemize(X3,sK13(X0,X1,X2))],[f19132]) ).
fof(f19134,plain,
( ~ r2_hidden(sK0,sK3)
| ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3)) ),
inference(cnf_transformation,[],[f19101]) ).
fof(f19135,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK1,sK3) ),
inference(cnf_transformation,[],[f19101]) ).
fof(f19136,plain,
( ~ r2_hidden(sK0,sK3)
| ~ r2_hidden(sK1,sK3) ),
inference(cnf_transformation,[],[f19101]) ).
fof(f19137,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3)) ),
inference(cnf_transformation,[],[f19101]) ).
fof(f19138,plain,
r2_hidden(sK1,k2_xboole_0(sK2,sK3)),
inference(cnf_transformation,[],[f19101]) ).
fof(f19139,plain,
r2_hidden(sK0,k2_xboole_0(sK2,sK3)),
inference(cnf_transformation,[],[f19101]) ).
fof(f19264,plain,
! [X0,X1] : k4_xboole_0(X0,X1) = k4_xboole_0(k2_xboole_0(X0,X1),X1),
inference(cnf_transformation,[],[f109]) ).
fof(f19278,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,[],[f19133]) ).
fof(f19297,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,X0)
| r2_hidden(X4,k4_xboole_0(X0,X1))
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f19278]) ).
fof(f19314,definition,
( spl14_1
<=> r2_hidden(sK1,k4_xboole_0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f19316,plain,
( ~ r2_hidden(sK1,k4_xboole_0(sK2,sK3))
| spl14_1 ),
inference(avatar_component_clause,[],[f19314]) ).
fof(f19318,definition,
( spl14_2
<=> r2_hidden(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl14_2])],[avatar_definition]) ).
fof(f19320,plain,
( ~ r2_hidden(sK0,sK3)
| spl14_2 ),
inference(avatar_component_clause,[],[f19318]) ).
fof(f19321,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f19134,f19318,f19314]) ).
fof(f19323,definition,
( spl14_3
<=> r2_hidden(sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl14_3])],[avatar_definition]) ).
fof(f19325,plain,
( ~ r2_hidden(sK1,sK3)
| spl14_3 ),
inference(avatar_component_clause,[],[f19323]) ).
fof(f19327,definition,
( spl14_4
<=> r2_hidden(sK0,k4_xboole_0(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl14_4])],[avatar_definition]) ).
fof(f19329,plain,
( ~ r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| spl14_4 ),
inference(avatar_component_clause,[],[f19327]) ).
fof(f19330,plain,
( ~ spl14_3
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f19135,f19327,f19323]) ).
fof(f19331,plain,
( ~ spl14_3
| ~ spl14_2 ),
inference(avatar_split_clause,[],[f19136,f19318,f19323]) ).
fof(f19332,plain,
( ~ spl14_1
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f19137,f19327,f19314]) ).
fof(f20712,plain,
! [X0] :
( r2_hidden(sK1,X0)
| r2_hidden(sK1,k4_xboole_0(k2_xboole_0(sK2,sK3),X0)) ),
inference(resolution,[],[f19297,f19138]) ).
fof(f20713,plain,
! [X0] :
( r2_hidden(sK0,X0)
| r2_hidden(sK0,k4_xboole_0(k2_xboole_0(sK2,sK3),X0)) ),
inference(resolution,[],[f19297,f19139]) ).
fof(f24079,plain,
( r2_hidden(sK1,k4_xboole_0(k2_xboole_0(sK2,sK3),sK3))
| spl14_3 ),
inference(resolution,[],[f20712,f19325]) ).
fof(f24144,plain,
( r2_hidden(sK1,k4_xboole_0(sK2,sK3))
| spl14_3 ),
inference(forward_demodulation,[],[f24079,f19264]) ).
fof(f24146,plain,
( $false
| spl14_1
| spl14_3 ),
inference(forward_subsumption_resolution,[],[f24144,f19316]) ).
fof(f24147,plain,
( spl14_1
| spl14_3 ),
inference(avatar_contradiction_clause,[],[f24146]) ).
fof(f24311,plain,
( r2_hidden(sK0,k4_xboole_0(k2_xboole_0(sK2,sK3),sK3))
| spl14_2 ),
inference(resolution,[],[f20713,f19320]) ).
fof(f24343,plain,
( r2_hidden(sK0,k4_xboole_0(sK2,sK3))
| spl14_2 ),
inference(forward_demodulation,[],[f24311,f19264]) ).
fof(f24345,plain,
( $false
| spl14_2
| spl14_4 ),
inference(forward_subsumption_resolution,[],[f24343,f19329]) ).
fof(f24346,plain,
( spl14_2
| spl14_4 ),
inference(avatar_contradiction_clause,[],[f24345]) ).
cnf(s1,plain,
( ~ spl14_1
| ~ spl14_2 ),
inference(sat_conversion,[],[f19321]) ).
cnf(s2,plain,
( ~ spl14_3
| ~ spl14_4 ),
inference(sat_conversion,[],[f19330]) ).
cnf(s3,plain,
( ~ spl14_2
| ~ spl14_3 ),
inference(sat_conversion,[],[f19331]) ).
cnf(s4,plain,
( ~ spl14_1
| ~ spl14_4 ),
inference(sat_conversion,[],[f19332]) ).
cnf(s67,plain,
( spl14_1
| spl14_3 ),
inference(sat_conversion,[],[f24147]) ).
cnf(s69,plain,
( spl14_2
| spl14_4 ),
inference(sat_conversion,[],[f24346]) ).
cnf(s71,plain,
~ spl14_3,
inference(rat,[],[s69,s2,s3]) ).
cnf(s72,plain,
spl14_1,
inference(rat,[],[s67,s71]) ).
cnf(s74,plain,
~ spl14_4,
inference(rat,[],[s4,s72]) ).
cnf(s75,plain,
~ spl14_2,
inference(rat,[],[s1,s72]) ).
cnf(s77,plain,
$false,
inference(rat,[],[s69,s74,s75]) ).
fof(f24347,plain,
$false,
inference(avatar_sat_refutation,[],[s77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU406+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n013.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Mon Sep 28 05:09:24 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 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
% 11.08/4.07 % (817855)Detected formulas, will run a generic FOF schedule.
% 11.08/4.07 % (817860)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=3262865522:i=141193_2985 on theBenchmark for (2985ds/141193Mi)
% 11.08/4.07 % (817861)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=4246263466:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2985 on theBenchmark for (2985ds/134677Mi)
% 11.08/4.07 % (817862)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=2403449783:i=141695:sd=1:nm=32:gsp=on:ss=included_2985 on theBenchmark for (2985ds/141695Mi)
% 11.08/4.07 % (817865)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=19022214:s2a=on:i=139:gtg=position_2985 on theBenchmark for (2985ds/139Mi)
% 11.08/4.07 % (817864)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=389758509:i=119:av=off:ss=axioms_2985 on theBenchmark for (2985ds/119Mi)
% 11.08/4.07 % (817863)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1361151213:i=109:sd=1:ins=1:gsp=on:ss=axioms_2985 on theBenchmark for (2985ds/109Mi)
% 11.08/4.07 % (817866)dis-21_1_sil=8000:lcm=predicate:random_seed=3588315993:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2985 on theBenchmark for (2985ds/129Mi)
% 11.08/4.07 % (817865)Instruction limit reached!
% 11.08/4.07 % (817865)------------------------------
% 11.08/4.07 % (817865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/4.07 % (817865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/4.07 % (817865)CaDiCaL version: 2.1.3
% 11.08/4.07 % (817865)Termination reason: Instruction limit
% 11.08/4.07 % (817865)Termination phase: Property scanning
% 11.08/4.07 % (817865)Time elapsed: 0.118 s
% 11.08/4.07 % (817865)Peak memory usage: 112 MB
% 11.08/4.07 % (817865)Instructions burned: 139 (million)
% 11.08/4.07 % (817863)Instruction limit reached!
% 11.08/4.07 % (817863)------------------------------
% 11.08/4.07 % (817863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/4.07 % (817863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/4.07 % (817863)CaDiCaL version: 2.1.3
% 11.08/4.07 % (817863)Termination reason: Instruction limit
% 11.08/4.07 % (817863)Termination phase: SInE selection
% 11.08/4.07 % (817863)Time elapsed: 0.130 s
% 11.08/4.07 % (817863)Peak memory usage: 112 MB
% 11.08/4.07 % (817863)Instructions burned: 111 (million)
% 11.08/4.07 % (817866)Instruction limit reached!
% 11.08/4.07 % (817866)------------------------------
% 11.08/4.07 % (817866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/4.07 % (817866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/4.07 % (817866)CaDiCaL version: 2.1.3
% 11.08/4.07 % (817866)Termination reason: Instruction limit
% 11.08/4.07 % (817866)Termination phase: SInE selection
% 11.08/4.07 % (817866)Time elapsed: 0.134 s
% 11.08/4.07 % (817866)Peak memory usage: 112 MB
% 11.08/4.07 % (817866)Instructions burned: 129 (million)
% 11.08/4.07 % (817864)Instruction limit reached!
% 11.08/4.07 % (817864)------------------------------
% 11.08/4.07 % (817864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/4.07 % (817864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/4.07 % (817864)CaDiCaL version: 2.1.3
% 11.08/4.07 % (817864)Termination reason: Instruction limit
% 11.08/4.07 % (817864)Termination phase: Preprocessing 3
% 11.08/4.07 % (817864)Time elapsed: 0.154 s
% 11.08/4.07 % (817864)Peak memory usage: 114 MB
% 11.08/4.07 % (817864)Instructions burned: 119 (million)
% 11.08/4.07 % (817874)lrs+10_1_sil=8000:sp=occurrence:random_seed=560948723:i=285:sd=3:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/285Mi)
% 11.08/4.07 % (817875)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1287595313:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/157Mi)
% 11.08/4.07 % (817876)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3723328233:i=325:sd=1:ss=axioms:sgt=32_2981 on theBenchmark for (2981ds/325Mi)
% 11.08/4.07 % (817877)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=1747244292:s2a=on:i=248:s2at=1.23:gtg=position_2981 on theBenchmark for (2981ds/248Mi)
% 11.08/4.07 % (817875)Instruction limit reached!
% 11.08/4.07 % (817875)------------------------------
% 11.08/4.07 % (817875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/4.07 % (817875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/4.07 % (817875)CaDiCaL version: 2.1.3
% 11.08/4.07 % (817875)Termination reason: Instruction limit
% 11.08/4.07 % (817875)Termination phase: Property scanning
% 11.08/4.07 % (817875)Time elapsed: 0.135 s
% 11.08/4.07 % (817875)Peak memory usage: 112 MB
% 11.08/4.07 % (817875)Instructions burned: 157 (million)
% 11.08/4.07 % (817877)Instruction limit reached!
% 11.08/4.07 % (817877)------------------------------
% 11.08/4.07 % (817877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/4.07 % (817877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/4.07 % (817877)CaDiCaL version: 2.1.3
% 11.08/4.07 % (817877)Termination reason: Instruction limit
% 11.08/4.07 % (817877)Termination phase: Property scanning
% 11.08/4.07 % (817877)Time elapsed: 0.212 s
% 11.08/4.07 % (817877)Peak memory usage: 112 MB
% 11.08/4.07 % (817877)Instructions burned: 248 (million)
% 11.08/4.07 % (817874)Instruction limit reached!
% 11.08/4.07 % (817874)------------------------------
% 11.08/4.07 % (817874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/4.07 % (817874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/4.07 % (817874)CaDiCaL version: 2.1.3
% 11.08/4.07 % (817874)Termination reason: Instruction limit
% 11.08/4.07 % (817874)Termination phase: Saturation
% 11.08/4.07 % (817874)Time elapsed: 0.330 s
% 11.08/4.07 % (817874)Peak memory usage: 119 MB
% 11.08/4.07 % (817874)Instructions burned: 285 (million)
% 11.08/4.07 % (817876)First to succeed.
% 11.08/4.07 % (817876)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-817855"
% 11.08/4.07 % (817882)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2429393949:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2977 on theBenchmark for (2977ds/294Mi)
% 11.08/4.07 % (817883)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=536224926:i=2350_2976 on theBenchmark for (2976ds/2350Mi)
% 11.08/4.07 % (817884)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=580746294:cts=off:i=113:fsr=off:ss=included:sgt=4_2975 on theBenchmark for (2975ds/113Mi)
% 11.08/4.07 % (817884)Instruction limit reached!
% 11.08/4.07 % (817884)------------------------------
% 11.08/4.07 % (817884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/4.07 % (817884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/4.07 % (817884)CaDiCaL version: 2.1.3
% 11.08/4.07 % (817884)Termination reason: Instruction limit
% 11.08/4.07 % (817884)Termination phase: Preprocessing 1
% 11.08/4.07 % (817884)Time elapsed: 0.136 s
% 11.08/4.07 % (817884)Peak memory usage: 112 MB
% 11.08/4.07 % (817884)Instructions burned: 113 (million)
% 11.08/4.07 % (817882)Instruction limit reached!
% 11.08/4.07 % (817882)------------------------------
% 11.08/4.07 % (817882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.08/4.07 % (817882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.08/4.07 % (817882)CaDiCaL version: 2.1.3
% 11.08/4.07 % (817882)Termination reason: Instruction limit
% 11.08/4.07 % (817882)Termination phase: Property scanning
% 11.08/4.07 % (817882)Time elapsed: 0.343 s
% 11.08/4.07 % (817882)Peak memory usage: 118 MB
% 11.08/4.07 % (817882)Instructions burned: 295 (million)
% 11.08/4.07 % (817876)Refutation found. Thanks to Tanya!
% 11.08/4.07 % SZS status Theorem for theBenchmark
% 11.08/4.07 % SZS output start Proof for theBenchmark
% See solution above
% 13.45/4.42 % (817876)------------------------------
% 13.45/4.42 % (817876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.45/4.42 % (817876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.45/4.42 % (817876)CaDiCaL version: 2.1.3
% 13.45/4.42 % (817876)Termination reason: Refutation
% 13.45/4.42 % (817876)Time elapsed: 0.386 s
% 13.45/4.42 % (817876)Peak memory usage: 120 MB
% 13.45/4.42 % (817876)Instructions burned: 325 (million)
% 13.45/4.42 % (817876)------------------------------
% 13.45/4.42 % (817876)------------------------------
% 13.45/4.42 % (817855)Success in time 2.983 s
% 13.45/4.42 % Vampire exiting
%------------------------------------------------------------------------------