%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU229+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 12:47:53 PM UTC 2026
% Result : Theorem 4.32s 1.55s
% Output : Refutation 5.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 6
% Syntax : Number of formulae : 78 ( 16 unt; 2 def)
% Number of atoms : 253 ( 130 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 282 ( 107 ~; 125 |; 43 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-4 aty)
% Number of variables : 156 ( 0 sgn 149 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( X3 = unordered_triple(X0,X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ~ ( X4 != X0
& X4 != X1
& X4 != X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_enumset1) ).
fof(f24,conjecture,
! [X0,X1,X2] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_ordinal1) ).
fof(f25,negated_conjecture,
~ ! [X0,X1,X2] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
fof(f28,axiom,
! [X0,X1] :
~ ( in(X0,X1)
& ! [X2] :
~ ( in(X2,X1)
& ! [X3] :
~ ( in(X3,X1)
& in(X3,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tarski) ).
fof(f35,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( X3 = unordered_triple(X0,X1,X2)
<=> ! [X4] :
( in(X4,X3)
<=> ( X0 = X4
| X1 = X4
| X2 = X4 ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f44,plain,
? [X0,X1,X2] :
( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f47,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ( X3 = unordered_triple(X0,X1,X2)
| ? [X4] :
( ( ( X0 != X4
& X1 != X4
& X2 != X4 )
| ~ in(X4,X3) )
& ( X0 = X4
| X1 = X4
| X2 = X4
| in(X4,X3) ) ) )
& ( ! [X4] :
( ( in(X4,X3)
| ( X0 != X4
& X1 != X4
& X2 != X4 ) )
& ( X0 = X4
| X1 = X4
| X2 = X4
| ~ in(X4,X3) ) )
| unordered_triple(X0,X1,X2) != X3 ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ( X3 = unordered_triple(X0,X1,X2)
| ? [X4] :
( ( ( X0 != X4
& X1 != X4
& X2 != X4 )
| ~ in(X4,X3) )
& ( X0 = X4
| X1 = X4
| X2 = X4
| in(X4,X3) ) ) )
& ( ! [X4] :
( ( in(X4,X3)
| ( X0 != X4
& X1 != X4
& X2 != X4 ) )
& ( X0 = X4
| X1 = X4
| X2 = X4
| ~ in(X4,X3) ) )
| unordered_triple(X0,X1,X2) != X3 ) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ( X3 = unordered_triple(X0,X1,X2)
| ? [X4] :
( ( ( X0 != X4
& X1 != X4
& X2 != X4 )
| ~ in(X4,X3) )
& ( X0 = X4
| X1 = X4
| X2 = X4
| in(X4,X3) ) ) )
& ( ! [X5] :
( ( in(X5,X3)
| ( X0 != X5
& X1 != X5
& X2 != X5 ) )
& ( X0 = X5
| X1 = X5
| X2 = X5
| ~ in(X5,X3) ) )
| unordered_triple(X0,X1,X2) != X3 ) ),
inference(rectify,[],[f50]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( ( X3 = unordered_triple(X0,X1,X2)
| ( ( ( sK0(X0,X1,X2,X3) != X0
& sK0(X0,X1,X2,X3) != X1
& sK0(X0,X1,X2,X3) != X2 )
| ~ in(sK0(X0,X1,X2,X3),X3) )
& ( sK0(X0,X1,X2,X3) = X0
| sK0(X0,X1,X2,X3) = X1
| sK0(X0,X1,X2,X3) = X2
| in(sK0(X0,X1,X2,X3),X3) ) ) )
& ( ! [X5] :
( ( in(X5,X3)
| ( X0 != X5
& X1 != X5
& X2 != X5 ) )
& ( X0 = X5
| X1 = X5
| X2 = X5
| ~ in(X5,X3) ) )
| unordered_triple(X0,X1,X2) != X3 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X0,X1,X2,X3))],[f51]) ).
fof(f63,plain,
( in(sK11,sK12)
& in(sK12,sK13)
& in(sK13,sK11) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11,sK12,sK13]),skolemize(X0,sK11),skolemize(X1,sK12),skolemize(X2,sK13)],[f44]) ).
fof(f64,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK14(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK14(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X2,sK14(X1))],[f47]) ).
fof(f65,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f70,plain,
! [X2,X3,X0,X1,X5] :
( X0 = X5
| X1 = X5
| X2 = X5
| ~ in(X5,X3)
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f52]) ).
fof(f71,plain,
! [X2,X3,X0,X1,X5] :
( in(X5,X3)
| X2 != X5
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f52]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X5] :
( in(X5,X3)
| X1 != X5
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f52]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X5] :
( in(X5,X3)
| X0 != X5
| unordered_triple(X0,X1,X2) != X3 ),
inference(cnf_transformation,[],[f52]) ).
fof(f102,plain,
in(sK13,sK11),
inference(cnf_transformation,[],[f63]) ).
fof(f103,plain,
in(sK12,sK13),
inference(cnf_transformation,[],[f63]) ).
fof(f104,plain,
in(sK11,sK12),
inference(cnf_transformation,[],[f63]) ).
fof(f107,plain,
! [X3,X0,X1] :
( ~ in(X3,sK14(X1))
| ~ in(X3,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f108,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK14(X1),X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f110,plain,
! [X2,X3,X1,X5] :
( in(X5,X3)
| unordered_triple(X5,X1,X2) != X3 ),
inference(equality_resolution,[],[f73]) ).
fof(f111,plain,
! [X2,X1,X5] : in(X5,unordered_triple(X5,X1,X2)),
inference(equality_resolution,[],[f110]) ).
fof(f112,plain,
! [X2,X3,X0,X5] :
( in(X5,X3)
| unordered_triple(X0,X5,X2) != X3 ),
inference(equality_resolution,[],[f72]) ).
fof(f113,plain,
! [X2,X0,X5] : in(X5,unordered_triple(X0,X5,X2)),
inference(equality_resolution,[],[f112]) ).
fof(f114,plain,
! [X3,X0,X1,X5] :
( in(X5,X3)
| unordered_triple(X0,X1,X5) != X3 ),
inference(equality_resolution,[],[f71]) ).
fof(f115,plain,
! [X0,X1,X5] : in(X5,unordered_triple(X0,X1,X5)),
inference(equality_resolution,[],[f114]) ).
fof(f116,plain,
! [X2,X0,X1,X5] :
( ~ in(X5,unordered_triple(X0,X1,X2))
| X1 = X5
| X2 = X5
| X0 = X5 ),
inference(equality_resolution,[],[f70]) ).
fof(f122,plain,
! [X2,X0,X1] : in(sK14(unordered_triple(X0,X1,X2)),unordered_triple(X0,X1,X2)),
inference(resolution,[],[f108,f111]) ).
fof(f129,plain,
~ in(sK12,sK11),
inference(resolution,[],[f65,f104]) ).
fof(f131,plain,
~ in(sK11,sK13),
inference(resolution,[],[f65,f102]) ).
fof(f138,plain,
! [X2,X0,X1] :
( sK14(unordered_triple(X1,X0,X2)) = X0
| sK14(unordered_triple(X1,X0,X2)) = X2
| sK14(unordered_triple(X1,X0,X2)) = X1 ),
inference(resolution,[],[f122,f116]) ).
fof(f143,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X4,unordered_triple(X2,X0,X3))
| ~ in(X1,unordered_triple(X2,X0,X3))
| ~ in(X1,X0)
| sK14(unordered_triple(X2,X0,X3)) = X3
| sK14(unordered_triple(X2,X0,X3)) = X2 ),
inference(superposition,[],[f107,f138]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X4,unordered_triple(X2,X3,X0))
| ~ in(X1,unordered_triple(X2,X3,X0))
| ~ in(X1,X0)
| sK14(unordered_triple(X2,X3,X0)) = X3
| sK14(unordered_triple(X2,X3,X0)) = X2 ),
inference(superposition,[],[f107,f138]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X4,unordered_triple(X0,X2,X3))
| ~ in(X1,unordered_triple(X0,X2,X3))
| ~ in(X1,X0)
| sK14(unordered_triple(X0,X2,X3)) = X2
| sK14(unordered_triple(X0,X2,X3)) = X3 ),
inference(superposition,[],[f107,f138]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,unordered_triple(X1,X2,X3))
| ~ in(X0,X1)
| sK14(unordered_triple(X1,X2,X3)) = X2
| sK14(unordered_triple(X1,X2,X3)) = X3 ),
inference(resolution,[],[f147,f122]) ).
fof(f159,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| sK14(unordered_triple(X1,X0,X2)) = X0
| sK14(unordered_triple(X1,X0,X2)) = X2 ),
inference(resolution,[],[f157,f113]) ).
fof(f165,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,unordered_triple(X1,X2,X3))
| ~ in(X0,X2)
| sK14(unordered_triple(X1,X2,X3)) = X3
| sK14(unordered_triple(X1,X2,X3)) = X1 ),
inference(resolution,[],[f143,f122]) ).
fof(f166,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| sK14(unordered_triple(X2,X1,X0)) = X0
| sK14(unordered_triple(X2,X1,X0)) = X2 ),
inference(resolution,[],[f165,f115]) ).
fof(f173,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,unordered_triple(X1,X2,X3))
| ~ in(X0,X3)
| sK14(unordered_triple(X1,X2,X3)) = X2
| sK14(unordered_triple(X1,X2,X3)) = X1 ),
inference(resolution,[],[f145,f122]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| sK14(unordered_triple(X0,X2,X1)) = X2
| sK14(unordered_triple(X0,X2,X1)) = X0 ),
inference(resolution,[],[f173,f111]) ).
fof(f237,definition,
( spl15_2
<=> sK11 = sK13 ),
introduced(definition,[new_symbols(definition,[spl15_2])],[avatar_definition]) ).
fof(f238,plain,
( sK11 != sK13
| spl15_2 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f239,plain,
( sK11 = sK13
| ~ spl15_2 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f243,plain,
( in(sK12,sK11)
| ~ spl15_2 ),
inference(superposition,[],[f103,f239]) ).
fof(f251,plain,
( $false
| ~ spl15_2 ),
inference(forward_subsumption_resolution,[],[f243,f129]) ).
fof(f252,plain,
~ spl15_2,
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f274,definition,
( spl15_4
<=> sK12 = sK13 ),
introduced(definition,[new_symbols(definition,[spl15_4])],[avatar_definition]) ).
fof(f275,plain,
( sK12 != sK13
| spl15_4 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f276,plain,
( sK12 = sK13
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f281,plain,
( in(sK12,sK11)
| ~ spl15_4 ),
inference(superposition,[],[f102,f276]) ).
fof(f292,plain,
( $false
| ~ spl15_4 ),
inference(forward_subsumption_resolution,[],[f281,f129]) ).
fof(f293,plain,
~ spl15_4,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f306,plain,
! [X0] :
( sK14(unordered_triple(sK12,X0,sK13)) = X0
| sK12 = sK14(unordered_triple(sK12,X0,sK13)) ),
inference(resolution,[],[f176,f103]) ).
fof(f342,plain,
! [X0] :
( sK11 = sK14(unordered_triple(sK12,sK11,X0))
| sK14(unordered_triple(sK12,sK11,X0)) = X0 ),
inference(resolution,[],[f159,f104]) ).
fof(f373,plain,
( sK11 = sK13
| sK12 = sK13
| sK11 = sK14(unordered_triple(sK12,sK11,sK13)) ),
inference(superposition,[],[f306,f342]) ).
fof(f377,plain,
! [X0] :
( sK11 != X0
| sK11 = sK14(unordered_triple(sK12,sK11,X0)) ),
inference(equality_factoring,[],[f342]) ).
fof(f378,plain,
( sK12 = sK13
| sK11 = sK14(unordered_triple(sK12,sK11,sK13)) ),
inference(forward_subsumption_resolution,[],[f373,f377]) ).
fof(f384,plain,
( sK11 = sK14(unordered_triple(sK12,sK11,sK13))
| spl15_4 ),
inference(forward_subsumption_resolution,[],[f378,f275]) ).
fof(f395,plain,
! [X0] :
( sK13 = sK14(unordered_triple(X0,sK11,sK13))
| sK14(unordered_triple(X0,sK11,sK13)) = X0 ),
inference(resolution,[],[f166,f102]) ).
fof(f399,plain,
( sK11 = sK13
| sK12 = sK13
| sK12 = sK14(unordered_triple(sK12,sK11,sK13)) ),
inference(superposition,[],[f306,f395]) ).
fof(f403,plain,
! [X0] :
( sK13 != X0
| sK14(unordered_triple(X0,sK11,sK13)) = X0 ),
inference(equality_factoring,[],[f395]) ).
fof(f405,plain,
( sK11 = sK13
| sK12 = sK14(unordered_triple(sK12,sK11,sK13)) ),
inference(forward_subsumption_resolution,[],[f399,f403]) ).
fof(f407,plain,
( sK12 = sK14(unordered_triple(sK12,sK11,sK13))
| spl15_2 ),
inference(forward_subsumption_resolution,[],[f405,f238]) ).
fof(f409,plain,
( sK11 = sK12
| spl15_2
| spl15_4 ),
inference(forward_demodulation,[],[f407,f384]) ).
fof(f411,plain,
( in(sK11,sK13)
| spl15_2
| spl15_4 ),
inference(superposition,[],[f103,f409]) ).
fof(f430,plain,
( $false
| spl15_2
| spl15_4 ),
inference(forward_subsumption_resolution,[],[f411,f131]) ).
fof(f431,plain,
( spl15_2
| spl15_4 ),
inference(avatar_contradiction_clause,[],[f430]) ).
cnf(s3,plain,
~ spl15_2,
inference(sat_conversion,[],[f252]) ).
cnf(s8,plain,
~ spl15_4,
inference(sat_conversion,[],[f293]) ).
cnf(s9,plain,
( spl15_2
| spl15_4 ),
inference(sat_conversion,[],[f431]) ).
cnf(s10,plain,
spl15_2,
inference(rat,[],[s9,s8]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s3,s10]) ).
fof(f432,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU229+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n010.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 04:11:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 4.32/1.55 % (1548326)Detected formulas, will run a generic FOF schedule.
% 4.32/1.55 % (1548331)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=3562125612:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.32/1.55 % (1548335)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1196653395:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.32/1.55 % (1548336)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3695801126:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.32/1.55 % (1548332)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=4171925750:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.32/1.55 % (1548337)dis-21_1_sil=8000:lcm=predicate:random_seed=1923047361:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.32/1.55 % (1548334)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=281232937:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.32/1.55 % (1548333)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=3138242561:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.32/1.55 % (1548334)Refutation not found, incomplete strategy
% 4.32/1.55 % (1548334)------------------------------
% 4.32/1.55 % (1548334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/1.55 % (1548334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.55 % (1548334)CaDiCaL version: 2.1.3
% 4.32/1.55 % (1548334)Termination reason: Refutation not found, incomplete strategy
% 4.32/1.55 % (1548334)Time elapsed: 0.001 s
% 4.32/1.55 % (1548334)Peak memory usage: 88 MB
% 4.32/1.55 % (1548335)Refutation not found, incomplete strategy
% 4.32/1.55 % (1548335)------------------------------
% 4.32/1.55 % (1548335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/1.55 % (1548335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.55 % (1548335)CaDiCaL version: 2.1.3
% 4.32/1.55 % (1548335)Termination reason: Refutation not found, incomplete strategy
% 4.32/1.55 % (1548335)Time elapsed: 0.001 s
% 4.32/1.55 % (1548335)Peak memory usage: 88 MB
% 4.32/1.55 % (1548337)Instruction limit reached!
% 4.32/1.55 % (1548337)------------------------------
% 4.32/1.55 % (1548337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/1.55 % (1548337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.55 % (1548337)CaDiCaL version: 2.1.3
% 4.32/1.55 % (1548337)Termination reason: Instruction limit
% 4.32/1.55 % (1548337)Termination phase: Saturation
% 4.32/1.55 % (1548337)Time elapsed: 0.072 s
% 4.32/1.55 % (1548337)Peak memory usage: 89 MB
% 4.32/1.55 % (1548337)Instructions burned: 131 (million)
% 4.32/1.55 % (1548336)Instruction limit reached!
% 4.32/1.55 % (1548336)------------------------------
% 4.32/1.55 % (1548336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/1.55 % (1548336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.55 % (1548336)CaDiCaL version: 2.1.3
% 4.32/1.55 % (1548336)Termination reason: Instruction limit
% 4.32/1.55 % (1548336)Termination phase: Saturation
% 4.32/1.55 % (1548336)Time elapsed: 0.099 s
% 4.32/1.55 % (1548336)Peak memory usage: 89 MB
% 4.32/1.55 % (1548336)Instructions burned: 140 (million)
% 4.32/1.55 % (1548345)lrs+10_1_sil=8000:sp=occurrence:random_seed=2787938373:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.32/1.55 % (1548346)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4258586129:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.32/1.55 % (1548346)Refutation not found, incomplete strategy
% 4.32/1.55 % (1548346)------------------------------
% 4.32/1.55 % (1548346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/1.55 % (1548346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.55 % (1548346)CaDiCaL version: 2.1.3
% 4.32/1.55 % (1548346)Termination reason: Refutation not found, incomplete strategy
% 4.32/1.55 % (1548346)Time elapsed: 0.004 s
% 4.32/1.55 % (1548346)Peak memory usage: 88 MB
% 4.32/1.55 % (1548346)Instructions burned: 5 (million)
% 4.32/1.55 % (1548334)------------------------------
% 4.32/1.55 % (1548334)------------------------------
% 4.32/1.55 % (1548335)------------------------------
% 4.32/1.55 % (1548335)------------------------------
% 4.32/1.55 % (1548345)Instruction limit reached!
% 4.32/1.55 % (1548345)------------------------------
% 4.32/1.55 % (1548345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/1.55 % (1548345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.55 % (1548345)CaDiCaL version: 2.1.3
% 4.32/1.55 % (1548345)Termination reason: Instruction limit
% 4.32/1.55 % (1548345)Termination phase: Saturation
% 4.32/1.55 % (1548345)Time elapsed: 0.137 s
% 4.32/1.55 % (1548345)Peak memory usage: 89 MB
% 4.32/1.55 % (1548345)Instructions burned: 286 (million)
% 4.32/1.55 % (1548331)First to succeed.
% 4.32/1.55 % (1548331)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1548326"
% 4.32/1.55 % (1548349)lrs+1011_1_sil=32000:sp=occurrence:random_seed=501934567:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 4.32/1.55 % (1548350)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=2029476774:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.32/1.55 % (1548351)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3430049253:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.32/1.55 % (1548351)Refutation not found, incomplete strategy
% 4.32/1.55 % (1548351)------------------------------
% 4.32/1.55 % (1548351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/1.55 % (1548351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.55 % (1548351)CaDiCaL version: 2.1.3
% 4.32/1.55 % (1548351)Termination reason: Refutation not found, incomplete strategy
% 4.32/1.55 % (1548351)Time elapsed: 0.001 s
% 4.32/1.55 % (1548351)Peak memory usage: 88 MB
% 4.32/1.55 % (1548346)------------------------------
% 4.32/1.55 % (1548346)------------------------------
% 4.32/1.55 % (1548350)Instruction limit reached!
% 4.32/1.55 % (1548350)------------------------------
% 4.32/1.55 % (1548350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/1.55 % (1548350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.55 % (1548350)CaDiCaL version: 2.1.3
% 4.32/1.55 % (1548350)Termination reason: Instruction limit
% 4.32/1.55 % (1548350)Termination phase: Saturation
% 4.32/1.55 % (1548350)Time elapsed: 0.116 s
% 4.32/1.55 % (1548350)Peak memory usage: 90 MB
% 4.32/1.55 % (1548350)Instructions burned: 249 (million)
% 4.32/1.55 % (1548331)Refutation found. Thanks to Tanya!
% 4.32/1.55 % SZS status Theorem for theBenchmark
% 4.32/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 5.44/1.64 % (1548331)------------------------------
% 5.44/1.64 % (1548331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.44/1.64 % (1548331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.44/1.64 % (1548331)CaDiCaL version: 2.1.3
% 5.44/1.64 % (1548331)Termination reason: Refutation
% 5.44/1.64 % (1548331)Time elapsed: 0.430 s
% 5.44/1.64 % (1548331)Peak memory usage: 130 MB
% 5.44/1.64 % (1548331)Instructions burned: 991 (million)
% 5.44/1.64 % (1548331)------------------------------
% 5.44/1.64 % (1548331)------------------------------
% 5.44/1.64 % (1548326)Success in time 0.701 s
% 5.44/1.64 % Vampire exiting
%------------------------------------------------------------------------------