%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ARI589_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:33:25 AM UTC 2026
% Result : Theorem 5.55s 1.48s
% Output : Refutation 7.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 77 ( 1 unt; 0 typ; 7 def)
% Number of atoms : 268 ( 128 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 300 ( 109 ~; 182 |; 2 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 150 ( 0 atm; 0 fun; 83 num; 67 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 8 prp; 0-2 aty)
% Number of functors : 8 ( 5 usr; 8 con; 0-0 aty)
% Number of variables : 67 ( 63 !; 4 ?; 67 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
sK0: $int ).
tff(func_def_1,type,
sK1: $int ).
tff(func_def_3,type,
'$inst3': $int ).
tff(func_def_4,type,
'$inst4': $int ).
tff(func_def_5,type,
'$inst5': $int ).
tff(f1,conjecture,
! [X1: $int,X0: $int] :
? [X2: $int] :
( ( X1 != X2 )
& ( X0 != X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exists_X_noteq_Y_Z) ).
tff(f2,negated_conjecture,
~ ! [X1: $int,X0: $int] :
? [X2: $int] :
( ( X1 != X2 )
& ( X0 != X2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
? [X0: $int,X1: $int] :
! [X2: $int] :
( ( X0 = X2 )
| ( X1 = X2 ) ),
inference(ennf_transformation,[],[f2]) ).
tff(f4,plain,
! [X2: $int] :
( ( sK0 = X2 )
| ( sK1 = X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f3]) ).
tff(f5,plain,
! [X2: $int] :
( ( sK1 = X2 )
| ( sK0 = X2 ) ),
inference(cnf_transformation,[],[f4]) ).
tff(f6,plain,
! [X0: $int,X1: $int] :
( ( sK0 = X1 )
| ( X0 = X1 )
| ( sK0 = X0 ) ),
inference(superposition,[],[f5,f5]) ).
tff(f7,plain,
! [X0: $int] :
( ( sK0 != sK1 )
| ( sK0 = X0 ) ),
inference(equality_factoring,[],[f5]) ).
tff(f9,definition,
( spl2_1
<=> ! [X0: $int] : ( sK0 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
tff(f10,plain,
( ! [X0: $int] : ( sK0 = X0 )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f9]) ).
tff(f12,definition,
( spl2_2
<=> ( sK0 = sK1 ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
tff(f14,plain,
( ( sK0 != sK1 )
| spl2_2 ),
inference(avatar_component_clause,[],[f12]) ).
tff(f15,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f7,f12,f9]) ).
tff(f17,plain,
( ! [X0: $int,X1: $int] :
( ( sK1 != X0 )
| ( sK0 = X1 )
| ( X0 = X1 ) )
| spl2_2 ),
inference(superposition,[],[f14,f6]) ).
tff(f22,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( X0 != X1 )
| ( sK0 = X2 )
| ( sK0 = X0 )
| ( X1 = X2 ) )
| spl2_2 ),
inference(superposition,[],[f17,f5]) ).
tff(f24,plain,
( ( 2 != 2 )
| ( sK0 = 3 )
| ( sK0 = 2 )
| ( 2 = 3 )
| spl2_2 ),
inference(instantiation,[],[f22]) ).
tff(f25,plain,
( ( sK0 = 3 )
| ( sK0 = 2 )
| spl2_2 ),
inference(interpreted_simplification,[],[f24]) ).
tff(f28,definition,
( spl2_3
<=> ( sK0 = 2 ) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
tff(f30,plain,
( ( sK0 = 2 )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f28]) ).
tff(f32,definition,
( spl2_4
<=> ( sK0 = 3 ) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
tff(f34,plain,
( ( sK0 = 3 )
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f32]) ).
tff(f35,plain,
( spl2_3
| spl2_4
| spl2_2 ),
inference(avatar_split_clause,[],[f25,f12,f32,f28]) ).
tff(f37,plain,
( ! [X0: $int,X1: $int] :
( ( 2 = X1 )
| ( X0 = X1 )
| ( 2 = X0 ) )
| ~ spl2_3 ),
inference(superposition,[],[f6,f30]) ).
tff(f38,plain,
( ( sK1 != 2 )
| spl2_2
| ~ spl2_3 ),
inference(superposition,[],[f14,f30]) ).
tff(f40,definition,
( spl2_5
<=> ( sK1 = 2 ) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
tff(f41,plain,
( ( sK1 = 2 )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f40]) ).
tff(f42,plain,
( ( sK1 != 2 )
| spl2_5 ),
inference(avatar_component_clause,[],[f40]) ).
tff(f43,plain,
( ~ spl2_5
| spl2_2
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f38,f28,f12,f40]) ).
tff(f45,plain,
( ! [X0: $int] :
( ( sK0 = X0 )
| ( 2 != X0 ) )
| spl2_5 ),
inference(superposition,[],[f42,f5]) ).
tff(f48,plain,
( ! [X0: $int] :
( ( sK1 = X0 )
| ( 2 = X0 )
| ( 2 != 2 ) )
| ~ spl2_3
| spl2_5 ),
inference(superposition,[],[f42,f37]) ).
tff(f57,plain,
( ! [X0: $int] :
( ( sK1 = X0 )
| ( 2 = X0 ) )
| ~ spl2_3
| spl2_5 ),
inference(trivial_inequality_removal,[],[f48]) ).
tff(f62,definition,
( spl2_6
<=> ! [X1: $int] :
( ( sK1 = X1 )
| ( 2 = X1 ) ) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
tff(f63,plain,
( ! [X1: $int] :
( ( 2 = X1 )
| ( sK1 = X1 ) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f62]) ).
tff(f73,plain,
( spl2_6
| ~ spl2_3
| spl2_5 ),
inference(avatar_split_clause,[],[f57,f40,f28,f62]) ).
tff(f74,plain,
( ! [X0: $int,X1: $int] :
( ( sK1 = X1 )
| ( X0 = X1 )
| ( sK1 = X0 ) )
| ~ spl2_6 ),
inference(superposition,[],[f63,f63]) ).
tff(f83,plain,
( ! [X0: $int,X1: $int] :
( ( 2 != X0 )
| ( sK1 = X1 )
| ( X0 = X1 ) )
| spl2_5
| ~ spl2_6 ),
inference(superposition,[],[f42,f74]) ).
tff(f97,plain,
( ( 2 != 2 )
| ( sK1 = 3 )
| ( 2 = 3 )
| spl2_5
| ~ spl2_6 ),
inference(instantiation,[],[f83]) ).
tff(f98,plain,
( ( sK1 = 3 )
| spl2_5
| ~ spl2_6 ),
inference(interpreted_simplification,[],[f97]) ).
tff(f103,definition,
( spl2_9
<=> ( sK1 = 3 ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
tff(f104,plain,
( ( sK1 != 3 )
| spl2_9 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f105,plain,
( ( sK1 = 3 )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f103]) ).
tff(f106,plain,
( spl2_9
| spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f98,f62,f40,f103]) ).
tff(f107,plain,
( ! [X0: $int,X1: $int] : ( X0 = X1 )
| ~ spl2_1 ),
inference(superposition,[],[f10,f10]) ).
tff(f110,plain,
( ! [X0: $int] : ( 2 != X0 )
| ~ spl2_1
| spl2_5 ),
inference(superposition,[],[f42,f107]) ).
tff(f120,plain,
( $false
| ~ spl2_1
| spl2_5 ),
inference(forward_subsumption_resolution,[],[f110,f107]) ).
tff(f121,plain,
( ~ spl2_1
| spl2_5 ),
inference(avatar_contradiction_clause,[],[f120]) ).
tff(f126,plain,
( ( sK1 != 3 )
| spl2_2
| ~ spl2_4 ),
inference(superposition,[],[f14,f34]) ).
tff(f127,plain,
( ! [X0: $int,X1: $int] :
( ( 3 = X1 )
| ( X0 = X1 )
| ( 3 = X0 ) )
| ~ spl2_4 ),
inference(superposition,[],[f6,f34]) ).
tff(f128,plain,
( ~ spl2_9
| spl2_2
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f126,f32,f12,f103]) ).
tff(f132,plain,
( ! [X0: $int] :
( ( 2 != X0 )
| ( 3 = X0 ) )
| ~ spl2_4
| spl2_5 ),
inference(forward_demodulation,[],[f45,f34]) ).
tff(f133,plain,
( ( 2 != 2 )
| ( 2 = 3 )
| ~ spl2_4
| spl2_5 ),
inference(instantiation,[],[f132]) ).
tff(f134,plain,
( $false
| ~ spl2_4
| spl2_5 ),
inference(interpreted_simplification,[],[f133]) ).
tff(f138,plain,
( ~ spl2_4
| spl2_5 ),
inference(avatar_contradiction_clause,[],[f134]) ).
tff(f141,plain,
( ! [X0: $int] :
( ( 2 = X0 )
| ( sK0 = X0 ) )
| ~ spl2_5 ),
inference(superposition,[],[f5,f41]) ).
tff(f142,plain,
( ! [X0: $int] :
( ( 3 = X0 )
| ( 2 = X0 ) )
| ~ spl2_4
| ~ spl2_5 ),
inference(forward_demodulation,[],[f141,f34]) ).
tff(f162,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( 2 = X0 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X2 ) )
| ~ spl2_4
| ~ spl2_5 ),
inference(superposition,[],[f127,f142]) ).
tff(f219,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( X1 = X2 )
| ( X0 = X2 )
| ( 2 != X1 )
| ( X0 = X1 ) )
| ~ spl2_4
| ~ spl2_5 ),
inference(equality_factoring,[],[f162]) ).
tff(f230,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( X1 = X2 )
| ( X0 = X1 )
| ( X0 = X2 ) )
| ~ spl2_4
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f219,f162]) ).
tff(f251,plain,
( ! [X0: $int,X1: $int] :
( ( sK1 = X1 )
| ( 3 != X0 )
| ( X0 = X1 ) )
| ~ spl2_4
| ~ spl2_5
| spl2_9 ),
inference(superposition,[],[f104,f230]) ).
tff(f264,plain,
( ! [X0: $int,X1: $int] :
( ( 3 != X0 )
| ( X0 = X1 )
| ( 2 = X1 ) )
| ~ spl2_4
| ~ spl2_5
| spl2_9 ),
inference(forward_demodulation,[],[f251,f41]) ).
tff(f281,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( X0 != X1 )
| ( 2 = X2 )
| ( 2 = X0 )
| ( X1 = X2 ) )
| ~ spl2_4
| ~ spl2_5
| spl2_9 ),
inference(superposition,[],[f264,f142]) ).
tff(f322,plain,
( ( 3 != 3 )
| ( 4 = 2 )
| ( 2 = 3 )
| ( 4 = 3 )
| ~ spl2_4
| ~ spl2_5
| spl2_9 ),
inference(instantiation,[],[f281]) ).
tff(f323,plain,
( ( 4 = 2 )
| ~ spl2_4
| ~ spl2_5
| spl2_9 ),
inference(interpreted_simplification,[],[f322]) ).
tff(f325,plain,
( $false
| ~ spl2_4
| ~ spl2_5
| spl2_9 ),
inference(evaluation,[],[f323]) ).
tff(f326,plain,
( ~ spl2_4
| ~ spl2_5
| spl2_9 ),
inference(avatar_contradiction_clause,[],[f325]) ).
tff(f340,plain,
( ! [X0: $int] : ( 3 != X0 )
| ~ spl2_1
| spl2_9 ),
inference(superposition,[],[f104,f107]) ).
tff(f344,plain,
( $false
| ~ spl2_1
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f340,f107]) ).
tff(f345,plain,
( ~ spl2_1
| spl2_9 ),
inference(avatar_contradiction_clause,[],[f344]) ).
tff(f351,plain,
( ! [X0: $int,X1: $int] :
( ( X0 = X1 )
| ( sK1 != X0 )
| ( sK0 = X1 ) )
| spl2_2 ),
inference(superposition,[],[f14,f6]) ).
tff(f364,plain,
( ! [X1: $int] :
( ( 3 = X1 )
| ( 2 = X1 ) )
| ~ spl2_6
| ~ spl2_9 ),
inference(forward_demodulation,[],[f63,f105]) ).
tff(f375,plain,
( ! [X0: $int,X1: $int] :
( ( sK0 = X1 )
| ( 3 != X0 )
| ( X0 = X1 ) )
| spl2_2
| ~ spl2_9 ),
inference(forward_demodulation,[],[f351,f105]) ).
tff(f376,plain,
( ! [X0: $int,X1: $int] :
( ( 3 != X0 )
| ( X0 = X1 )
| ( 2 = X1 ) )
| spl2_2
| ~ spl2_3
| ~ spl2_9 ),
inference(forward_demodulation,[],[f375,f30]) ).
tff(f379,plain,
( ! [X2: $int,X0: $int,X1: $int] :
( ( X0 != X1 )
| ( 2 = X0 )
| ( 2 = X2 )
| ( X1 = X2 ) )
| spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(superposition,[],[f376,f364]) ).
tff(f400,plain,
( ( 3 != 3 )
| ( 2 = 3 )
| ( 4 = 2 )
| ( 4 = 3 )
| spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(instantiation,[],[f379]) ).
tff(f401,plain,
( ( 4 = 2 )
| spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(interpreted_simplification,[],[f400]) ).
tff(f403,plain,
( $false
| spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(evaluation,[],[f401]) ).
tff(f404,plain,
( spl2_2
| ~ spl2_3
| ~ spl2_6
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f403]) ).
tff(f405,plain,
$false,
inference(avatar_smt_refutation,[],[f404,f345,f326,f138,f128,f121,f106,f73,f43,f35,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ARI589_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.15 % Computer : n012.cluster.edu
% 0.06/0.15 % Model : x86_64 x86_64
% 0.06/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.15 % Memory : 8046.5625MB
% 0.06/0.15 % OS : Linux 6.8.0-71-generic
% 0.06/0.15 % CPULimit : 300
% 0.06/0.15 % WCLimit : 300
% 0.06/0.15 % DateTime : Mon Sep 28 20:52:34 UTC 2026
% 0.06/0.15 % CPUTime :
% 0.06/0.15 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 Running first-order theorem proving
% 0.06/0.18 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.07/1.33 % (3749239)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 5.07/1.33 % (3749254)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=2935318876:i=33:rtra=on_3000 on theBenchmark for (3000ds/33Mi)
% 5.07/1.33 % (3749253)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=132072849:i=46:rtra=on_3000 on theBenchmark for (3000ds/46Mi)
% 5.07/1.33 % (3749252)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=1664996417:i=4:rtra=on_3000 on theBenchmark for (3000ds/4Mi)
% 5.07/1.33 % (3749250)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3746860261:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_3000 on theBenchmark for (3000ds/201Mi)
% 5.07/1.33 % (3749251)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=1726437553:s2a=on:i=7:rtra=on:inst=on_3000 on theBenchmark for (3000ds/7Mi)
% 5.07/1.33 % (3749248)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2571509768:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_3000 on theBenchmark for (3000ds/12Mi)
% 5.07/1.33 % (3749249)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3442227104:i=307:kws=precedence:nm=0:rtra=on_3000 on theBenchmark for (3000ds/307Mi)
% 5.07/1.33 % (3749252)Instruction limit reached!
% 5.07/1.33 % (3749252)------------------------------
% 5.07/1.33 % (3749252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.33 % (3749252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.33 % (3749252)CaDiCaL version: 2.1.3
% 5.07/1.33 % (3749252)Termination reason: Instruction limit
% 5.07/1.33 % (3749252)Termination phase: Saturation
% 5.07/1.33 % (3749252)Time elapsed: 0.003 s
% 5.07/1.33 % (3749252)Peak memory usage: 88 MB
% 5.07/1.33 % (3749252)Instructions burned: 5 (million)
% 5.07/1.33 % (3749251)Instruction limit reached!
% 5.07/1.33 % (3749251)------------------------------
% 5.07/1.33 % (3749251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.33 % (3749251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.33 % (3749251)CaDiCaL version: 2.1.3
% 5.07/1.33 % (3749251)Termination reason: Instruction limit
% 5.07/1.33 % (3749251)Termination phase: Saturation
% 5.07/1.33 % (3749251)Time elapsed: 0.004 s
% 5.07/1.33 % (3749251)Peak memory usage: 88 MB
% 5.07/1.33 % (3749251)Instructions burned: 8 (million)
% 5.07/1.33 % (3749254)Instruction limit reached!
% 5.07/1.33 % (3749254)------------------------------
% 5.07/1.33 % (3749254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.33 % (3749254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.33 % (3749254)CaDiCaL version: 2.1.3
% 5.07/1.33 % (3749254)Termination reason: Instruction limit
% 5.07/1.33 % (3749254)Termination phase: Saturation
% 5.07/1.33 % (3749254)Time elapsed: 0.023 s
% 5.07/1.33 % (3749254)Peak memory usage: 114 MB
% 5.07/1.33 % (3749254)Instructions burned: 33 (million)
% 5.07/1.33 % (3749248)Refutation not found, incomplete strategy
% 5.07/1.33 % (3749248)------------------------------
% 5.07/1.33 % (3749248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.33 % (3749248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.33 % (3749248)CaDiCaL version: 2.1.3
% 5.07/1.33 % (3749248)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.33 % (3749248)Time elapsed: 0.023 s
% 5.07/1.33 % (3749248)Peak memory usage: 114 MB
% 5.07/1.33 % (3749248)Instructions burned: 6 (million)
% 5.07/1.33 % (3749249)Refutation not found, incomplete strategy
% 5.07/1.33 % (3749249)------------------------------
% 5.07/1.33 % (3749249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.33 % (3749249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.33 % (3749249)CaDiCaL version: 2.1.3
% 5.07/1.33 % (3749249)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.33 % (3749249)Time elapsed: 0.025 s
% 5.07/1.33 % (3749249)Peak memory usage: 115 MB
% 5.07/1.33 % (3749249)Instructions burned: 9 (million)
% 5.07/1.33 % (3749250)Refutation not found, incomplete strategy
% 5.07/1.33 % (3749250)------------------------------
% 5.07/1.33 % (3749250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.33 % (3749250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749250)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749250)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.48 % (3749250)Time elapsed: 0.029 s
% 5.55/1.48 % (3749250)Peak memory usage: 113 MB
% 5.55/1.48 % (3749250)Instructions burned: 22 (million)
% 5.55/1.48 % (3749253)Instruction limit reached!
% 5.55/1.48 % (3749253)------------------------------
% 5.55/1.48 % (3749253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749253)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749253)Termination reason: Instruction limit
% 5.55/1.48 % (3749253)Termination phase: Saturation
% 5.55/1.48 % (3749253)Time elapsed: 0.036 s
% 5.55/1.48 % (3749253)Peak memory usage: 114 MB
% 5.55/1.48 % (3749253)Instructions burned: 47 (million)
% 5.55/1.48 % (3749264)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=213166921:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 5.55/1.48 % (3749263)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=1682063730:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 5.55/1.48 % (3749262)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=1777196671:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.55/1.48 % (3749264)Refutation not found, incomplete strategy
% 5.55/1.48 % (3749264)------------------------------
% 5.55/1.48 % (3749264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749264)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749264)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.48 % (3749264)Time elapsed: 0.002 s
% 5.55/1.48 % (3749264)Peak memory usage: 90 MB
% 5.55/1.48 % (3749264)Instructions burned: 3 (million)
% 5.55/1.48 % (3749263)Refutation not found, incomplete strategy
% 5.55/1.48 % (3749263)------------------------------
% 5.55/1.48 % (3749263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749263)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749263)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.48 % (3749263)Time elapsed: 0.003 s
% 5.55/1.48 % (3749263)Peak memory usage: 88 MB
% 5.55/1.48 % (3749263)Instructions burned: 6 (million)
% 5.55/1.48 % (3749262)Instruction limit reached!
% 5.55/1.48 % (3749262)------------------------------
% 5.55/1.48 % (3749262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749262)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749262)Termination reason: Instruction limit
% 5.55/1.48 % (3749262)Termination phase: Saturation
% 5.55/1.48 % (3749262)Time elapsed: 0.007 s
% 5.55/1.48 % (3749262)Peak memory usage: 88 MB
% 5.55/1.48 % (3749262)Instructions burned: 16 (million)
% 5.55/1.48 % (3749248)------------------------------
% 5.55/1.48 % (3749248)------------------------------
% 5.55/1.48 % (3749249)------------------------------
% 5.55/1.48 % (3749249)------------------------------
% 5.55/1.48 % (3749250)------------------------------
% 5.55/1.48 % (3749250)------------------------------
% 5.55/1.48 % (3749265)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=287580253:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 5.55/1.48 % (3749265)Refutation not found, incomplete strategy
% 5.55/1.48 % (3749265)------------------------------
% 5.55/1.48 % (3749265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749265)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749265)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.48 % (3749265)Time elapsed: 0.004 s
% 5.55/1.48 % (3749265)Peak memory usage: 89 MB
% 5.55/1.48 % (3749265)Instructions burned: 6 (million)
% 5.55/1.48 % (3749264)------------------------------
% 5.55/1.48 % (3749264)------------------------------
% 5.55/1.48 % (3749269)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1085643049:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 5.55/1.48 % (3749263)------------------------------
% 5.55/1.48 % (3749263)------------------------------
% 5.55/1.48 % (3749269)Instruction limit reached!
% 5.55/1.48 % (3749269)------------------------------
% 5.55/1.48 % (3749269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749269)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749269)Termination reason: Instruction limit
% 5.55/1.48 % (3749269)Termination phase: Saturation
% 5.55/1.48 % (3749269)Time elapsed: 0.011 s
% 5.55/1.48 % (3749269)Peak memory usage: 89 MB
% 5.55/1.48 % (3749269)Instructions burned: 27 (million)
% 5.55/1.48 % (3749270)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=2725342454:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 5.55/1.48 % (3749273)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=2365377593:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 5.55/1.48 % (3749273)Refutation not found, incomplete strategy
% 5.55/1.48 % (3749273)------------------------------
% 5.55/1.48 % (3749273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749273)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749273)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.48 % (3749273)Time elapsed: 0.006 s
% 5.55/1.48 % (3749273)Peak memory usage: 88 MB
% 5.55/1.48 % (3749273)Instructions burned: 11 (million)
% 5.55/1.48 % (3749270)Refutation not found, incomplete strategy
% 5.55/1.48 % (3749270)------------------------------
% 5.55/1.48 % (3749270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749270)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749270)Termination reason: Refutation not found, incomplete strategy
% 5.55/1.48 % (3749270)Time elapsed: 0.018 s
% 5.55/1.48 % (3749270)Peak memory usage: 88 MB
% 5.55/1.48 % (3749270)Instructions burned: 40 (million)
% 5.55/1.48 % (3749272)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=4208214658:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 5.55/1.48 % (3749272)Instruction limit reached!
% 5.55/1.48 % (3749272)------------------------------
% 5.55/1.48 % (3749272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749272)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749272)Termination reason: Instruction limit
% 5.55/1.48 % (3749272)Termination phase: Saturation
% 5.55/1.48 % (3749272)Time elapsed: 0.003 s
% 5.55/1.48 % (3749272)Peak memory usage: 88 MB
% 5.55/1.48 % (3749272)Instructions burned: 4 (million)
% 5.55/1.48 % (3749265)------------------------------
% 5.55/1.48 % (3749265)------------------------------
% 5.55/1.48 % (3749274)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=597619522:i=4:ep=RST:ins=2:rtra=on_2994 on theBenchmark for (2994ds/4Mi)
% 5.55/1.48 % (3749274)Instruction limit reached!
% 5.55/1.48 % (3749274)------------------------------
% 5.55/1.48 % (3749274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749274)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749274)Termination reason: Instruction limit
% 5.55/1.48 % (3749274)Termination phase: Saturation
% 5.55/1.48 % (3749274)Time elapsed: 0.003 s
% 5.55/1.48 % (3749274)Peak memory usage: 88 MB
% 5.55/1.48 % (3749274)Instructions burned: 4 (million)
% 5.55/1.48 % (3749276)dis+1010_128_isp=bottom:to=lpo:thi=overlap:prc=on:sas=z3:si=on:fd=preordered:random_seed=1719249223:i=66:thsqd=64:thsqc=16:rtra=on:thsq=on:ev=force_2994 on theBenchmark for (2994ds/66Mi)
% 5.55/1.48 % (3749276)First to succeed.
% 5.55/1.48 % (3749277)lrs+10_1_thi=all:si=on:fd=off:random_seed=3829616572:i=53:rtra=on:gtg=all_2994 on theBenchmark for (2994ds/53Mi)
% 5.55/1.48 % (3749276)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3749239"
% 5.55/1.48 % (3749277)Also succeeded, but the first one will report.
% 5.55/1.48 % (3749282)lrs+10_1_to=lakbo:sil=128000:si=on:alasca=on:sp=occurrence:random_seed=320415081:st=3:i=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/2Mi)
% 5.55/1.48 % (3749273)------------------------------
% 5.55/1.48 % (3749273)------------------------------
% 5.55/1.48 % (3749282)Instruction limit reached!
% 5.55/1.48 % (3749282)------------------------------
% 5.55/1.48 % (3749282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749282)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749282)Termination reason: Instruction limit
% 5.55/1.48 % (3749282)Termination phase: Saturation
% 5.55/1.48 % (3749282)Time elapsed: 0.002 s
% 5.55/1.48 % (3749282)Peak memory usage: 90 MB
% 5.55/1.48 % (3749282)Instructions burned: 5 (million)
% 5.55/1.48 % (3749281)ott+1011_1_to=kbo:plsq=on:drc=off:si=on:plsqr=32,1:sp=const_frequency:sos=all:uwa=one_side_interpreted:sac=on:random_seed=3210194932:i=8:ep=RST:nm=16:rtra=on:gtg=exists_top_2993 on theBenchmark for (2993ds/8Mi)
% 5.55/1.48 % (3749270)------------------------------
% 5.55/1.48 % (3749270)------------------------------
% 5.55/1.48 % (3749281)Instruction limit reached!
% 5.55/1.48 % (3749281)------------------------------
% 5.55/1.48 % (3749281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749281)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749281)Termination reason: Instruction limit
% 5.55/1.48 % (3749281)Termination phase: Saturation
% 5.55/1.48 % (3749281)Time elapsed: 0.006 s
% 5.55/1.48 % (3749281)Peak memory usage: 88 MB
% 5.55/1.48 % (3749281)Instructions burned: 9 (million)
% 5.55/1.48 % (3749285)dis+1002_1_to=lpo:sil=64000:si=on:flr=on:random_seed=820283985:i=2:doe=on:canc=force:asg=cautious:rtra=on_2992 on theBenchmark for (2992ds/2Mi)
% 5.55/1.48 % (3749285)Instruction limit reached!
% 5.55/1.48 % (3749285)------------------------------
% 5.55/1.48 % (3749285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.55/1.48 % (3749285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.55/1.48 % (3749285)CaDiCaL version: 2.1.3
% 5.55/1.48 % (3749285)Termination reason: Instruction limit
% 5.55/1.48 % (3749285)Termination phase: Saturation
% 5.55/1.48 % (3749285)Time elapsed: 0.003 s
% 5.55/1.48 % (3749285)Peak memory usage: 89 MB
% 5.55/1.48 % (3749285)Instructions burned: 4 (million)
% 5.55/1.48 % (3749276)Refutation found. Thanks to Tanya!
% 5.55/1.48 % SZS status Theorem for theBenchmark
% 5.55/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 7.23/1.68 % (3749276)------------------------------
% 7.23/1.68 % (3749276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.23/1.68 % (3749276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.23/1.68 % (3749276)CaDiCaL version: 2.1.3
% 7.23/1.68 % (3749276)Termination reason: Refutation
% 7.23/1.68 % (3749276)Time elapsed: 0.057 s
% 7.23/1.68 % (3749276)Peak memory usage: 133 MB
% 7.23/1.68 % (3749276)Instructions burned: 56 (million)
% 7.23/1.68 % (3749276)------------------------------
% 7.23/1.68 % (3749276)------------------------------
% 7.23/1.68 % (3749239)Success in time 0.964 s
% 7.23/1.68 % Vampire exiting
%------------------------------------------------------------------------------