%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM380+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 12:15:01 PM UTC 2026
% Result : Theorem 6.67s 1.93s
% Output : Refutation 8.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 6
% Syntax : Number of formulae : 68 ( 16 unt; 3 def)
% Number of atoms : 261 ( 132 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 316 ( 123 ~; 130 |; 56 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-5 aty)
% Number of variables : 185 ( 0 sgn 177 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2,X3,X4] :
( X4 = unordered_quadruple(X0,X1,X2,X3)
<=> ! [X5] :
( in(X5,X4)
<=> ~ ( X5 != X0
& X5 != X1
& X5 != X2
& X5 != X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_enumset1) ).
fof(f22,conjecture,
! [X0,X1,X2,X3] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X3)
& in(X3,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_ordinal1) ).
fof(f23,negated_conjecture,
~ ! [X0,X1,X2,X3] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X3)
& in(X3,X0) ),
inference(negated_conjecture,[status(cth)],[f22]) ).
fof(f26,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(f33,plain,
! [X0,X1,X2,X3,X4] :
( X4 = unordered_quadruple(X0,X1,X2,X3)
<=> ! [X5] :
( in(X5,X4)
<=> ( X0 = X5
| X1 = X5
| X2 = X5
| X3 = X5 ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f37,plain,
? [X0,X1,X2,X3] :
( in(X0,X1)
& in(X1,X2)
& in(X2,X3)
& in(X3,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f40,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ? [X2] :
( in(X2,X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,X2) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4] :
( ( X4 = unordered_quadruple(X0,X1,X2,X3)
| ? [X5] :
( ( ( X0 != X5
& X1 != X5
& X2 != X5
& X3 != X5 )
| ~ in(X5,X4) )
& ( X0 = X5
| X1 = X5
| X2 = X5
| X3 = X5
| in(X5,X4) ) ) )
& ( ! [X5] :
( ( in(X5,X4)
| ( X0 != X5
& X1 != X5
& X2 != X5
& X3 != X5 ) )
& ( X0 = X5
| X1 = X5
| X2 = X5
| X3 = X5
| ~ in(X5,X4) ) )
| unordered_quadruple(X0,X1,X2,X3) != X4 ) ),
inference(nnf_transformation,[],[f33]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4] :
( ( X4 = unordered_quadruple(X0,X1,X2,X3)
| ? [X5] :
( ( ( X0 != X5
& X1 != X5
& X2 != X5
& X3 != X5 )
| ~ in(X5,X4) )
& ( X0 = X5
| X1 = X5
| X2 = X5
| X3 = X5
| in(X5,X4) ) ) )
& ( ! [X5] :
( ( in(X5,X4)
| ( X0 != X5
& X1 != X5
& X2 != X5
& X3 != X5 ) )
& ( X0 = X5
| X1 = X5
| X2 = X5
| X3 = X5
| ~ in(X5,X4) ) )
| unordered_quadruple(X0,X1,X2,X3) != X4 ) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4] :
( ( X4 = unordered_quadruple(X0,X1,X2,X3)
| ? [X5] :
( ( ( X0 != X5
& X1 != X5
& X2 != X5
& X3 != X5 )
| ~ in(X5,X4) )
& ( X0 = X5
| X1 = X5
| X2 = X5
| X3 = X5
| in(X5,X4) ) ) )
& ( ! [X6] :
( ( in(X6,X4)
| ( X0 != X6
& X1 != X6
& X2 != X6
& X3 != X6 ) )
& ( X0 = X6
| X1 = X6
| X2 = X6
| X3 = X6
| ~ in(X6,X4) ) )
| unordered_quadruple(X0,X1,X2,X3) != X4 ) ),
inference(rectify,[],[f43]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4] :
( ( X4 = unordered_quadruple(X0,X1,X2,X3)
| ( ( ( sK0(X0,X1,X2,X3,X4) != X0
& sK0(X0,X1,X2,X3,X4) != X1
& sK0(X0,X1,X2,X3,X4) != X2
& sK0(X0,X1,X2,X3,X4) != X3 )
| ~ in(sK0(X0,X1,X2,X3,X4),X4) )
& ( sK0(X0,X1,X2,X3,X4) = X0
| sK0(X0,X1,X2,X3,X4) = X1
| sK0(X0,X1,X2,X3,X4) = X2
| sK0(X0,X1,X2,X3,X4) = X3
| in(sK0(X0,X1,X2,X3,X4),X4) ) ) )
& ( ! [X6] :
( ( in(X6,X4)
| ( X0 != X6
& X1 != X6
& X2 != X6
& X3 != X6 ) )
& ( X0 = X6
| X1 = X6
| X2 = X6
| X3 = X6
| ~ in(X6,X4) ) )
| unordered_quadruple(X0,X1,X2,X3) != X4 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X5,sK0(X0,X1,X2,X3,X4))],[f44]) ).
fof(f57,plain,
( in(sK12,sK13)
& in(sK13,sK14)
& in(sK14,sK15)
& in(sK15,sK12) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15)],[f37]) ).
fof(f58,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ( in(sK16(X1),X1)
& ! [X3] :
( ~ in(X3,X1)
| ~ in(X3,sK16(X1)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X2,sK16(X1))],[f40]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X6,X4] :
( X0 = X6
| X1 = X6
| X2 = X6
| X3 = X6
| ~ in(X6,X4)
| unordered_quadruple(X0,X1,X2,X3) != X4 ),
inference(cnf_transformation,[],[f45]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X6,X4] :
( in(X6,X4)
| X3 != X6
| unordered_quadruple(X0,X1,X2,X3) != X4 ),
inference(cnf_transformation,[],[f45]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X6,X4] :
( in(X6,X4)
| X2 != X6
| unordered_quadruple(X0,X1,X2,X3) != X4 ),
inference(cnf_transformation,[],[f45]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X6,X4] :
( in(X6,X4)
| X1 != X6
| unordered_quadruple(X0,X1,X2,X3) != X4 ),
inference(cnf_transformation,[],[f45]) ).
fof(f69,plain,
! [X2,X3,X0,X1,X6,X4] :
( in(X6,X4)
| X0 != X6
| unordered_quadruple(X0,X1,X2,X3) != X4 ),
inference(cnf_transformation,[],[f45]) ).
fof(f106,plain,
in(sK15,sK12),
inference(cnf_transformation,[],[f57]) ).
fof(f107,plain,
in(sK14,sK15),
inference(cnf_transformation,[],[f57]) ).
fof(f108,plain,
in(sK13,sK14),
inference(cnf_transformation,[],[f57]) ).
fof(f109,plain,
in(sK12,sK13),
inference(cnf_transformation,[],[f57]) ).
fof(f112,plain,
! [X3,X0,X1] :
( ~ in(X3,sK16(X1))
| ~ in(X3,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f113,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(sK16(X1),X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f115,plain,
! [X2,X3,X1,X6,X4] :
( in(X6,X4)
| unordered_quadruple(X6,X1,X2,X3) != X4 ),
inference(equality_resolution,[],[f69]) ).
fof(f116,plain,
! [X2,X3,X1,X6] : in(X6,unordered_quadruple(X6,X1,X2,X3)),
inference(equality_resolution,[],[f115]) ).
fof(f117,plain,
! [X2,X3,X0,X6,X4] :
( in(X6,X4)
| unordered_quadruple(X0,X6,X2,X3) != X4 ),
inference(equality_resolution,[],[f68]) ).
fof(f118,plain,
! [X2,X3,X0,X6] : in(X6,unordered_quadruple(X0,X6,X2,X3)),
inference(equality_resolution,[],[f117]) ).
fof(f119,plain,
! [X3,X0,X1,X6,X4] :
( in(X6,X4)
| unordered_quadruple(X0,X1,X6,X3) != X4 ),
inference(equality_resolution,[],[f67]) ).
fof(f120,plain,
! [X3,X0,X1,X6] : in(X6,unordered_quadruple(X0,X1,X6,X3)),
inference(equality_resolution,[],[f119]) ).
fof(f121,plain,
! [X2,X0,X1,X6,X4] :
( in(X6,X4)
| unordered_quadruple(X0,X1,X2,X6) != X4 ),
inference(equality_resolution,[],[f66]) ).
fof(f122,plain,
! [X2,X0,X1,X6] : in(X6,unordered_quadruple(X0,X1,X2,X6)),
inference(equality_resolution,[],[f121]) ).
fof(f123,plain,
! [X2,X3,X0,X1,X6] :
( ~ in(X6,unordered_quadruple(X0,X1,X2,X3))
| X1 = X6
| X2 = X6
| X3 = X6
| X0 = X6 ),
inference(equality_resolution,[],[f65]) ).
fof(f131,plain,
! [X2,X3,X0,X1] : in(sK16(unordered_quadruple(X0,X1,X2,X3)),unordered_quadruple(X0,X1,X2,X3)),
inference(resolution,[],[f113,f122]) ).
fof(f152,plain,
! [X2,X3,X0,X1] :
( sK16(unordered_quadruple(X1,X0,X2,X3)) = X0
| sK16(unordered_quadruple(X1,X0,X2,X3)) = X2
| sK16(unordered_quadruple(X1,X0,X2,X3)) = X3
| sK16(unordered_quadruple(X1,X0,X2,X3)) = X1 ),
inference(resolution,[],[f131,f123]) ).
fof(f156,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ in(X5,unordered_quadruple(X2,X0,X3,X4))
| ~ in(X1,unordered_quadruple(X2,X0,X3,X4))
| ~ in(X1,X0)
| sK16(unordered_quadruple(X2,X0,X3,X4)) = X3
| sK16(unordered_quadruple(X2,X0,X3,X4)) = X4
| sK16(unordered_quadruple(X2,X0,X3,X4)) = X2 ),
inference(superposition,[],[f112,f152]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X4] :
( ~ in(X0,unordered_quadruple(X1,X2,X3,X4))
| ~ in(X0,X2)
| sK16(unordered_quadruple(X1,X2,X3,X4)) = X3
| sK16(unordered_quadruple(X1,X2,X3,X4)) = X4
| sK16(unordered_quadruple(X1,X2,X3,X4)) = X1 ),
inference(resolution,[],[f156,f131]) ).
fof(f183,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,X1)
| sK16(unordered_quadruple(X2,X1,X3,X0)) = X3
| sK16(unordered_quadruple(X2,X1,X3,X0)) = X0
| sK16(unordered_quadruple(X2,X1,X3,X0)) = X2 ),
inference(resolution,[],[f179,f122]) ).
fof(f220,plain,
! [X0,X1] :
( sK16(unordered_quadruple(X0,sK14,X1,sK13)) = X1
| sK13 = sK16(unordered_quadruple(X0,sK14,X1,sK13))
| sK16(unordered_quadruple(X0,sK14,X1,sK13)) = X0 ),
inference(resolution,[],[f183,f108]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ in(X0,sK13)
| ~ in(X0,unordered_quadruple(X1,sK14,X2,sK13))
| ~ in(X3,unordered_quadruple(X1,sK14,X2,sK13))
| sK16(unordered_quadruple(X1,sK14,X2,sK13)) = X2
| sK16(unordered_quadruple(X1,sK14,X2,sK13)) = X1 ),
inference(superposition,[],[f112,f220]) ).
fof(f330,plain,
! [X2,X0,X1] :
( ~ in(sK12,unordered_quadruple(X0,sK14,X1,sK13))
| ~ in(X2,unordered_quadruple(X0,sK14,X1,sK13))
| sK16(unordered_quadruple(X0,sK14,X1,sK13)) = X1
| sK16(unordered_quadruple(X0,sK14,X1,sK13)) = X0 ),
inference(resolution,[],[f312,f109]) ).
fof(f338,plain,
! [X0,X1] :
( ~ in(X0,unordered_quadruple(sK12,sK14,X1,sK13))
| sK16(unordered_quadruple(sK12,sK14,X1,sK13)) = X1
| sK12 = sK16(unordered_quadruple(sK12,sK14,X1,sK13)) ),
inference(resolution,[],[f330,f116]) ).
fof(f344,plain,
! [X0] :
( sK16(unordered_quadruple(sK12,sK14,X0,sK13)) = X0
| sK12 = sK16(unordered_quadruple(sK12,sK14,X0,sK13)) ),
inference(resolution,[],[f338,f131]) ).
fof(f354,plain,
! [X2,X0,X1] :
( ~ in(X0,sK12)
| ~ in(X0,unordered_quadruple(sK12,sK14,X1,sK13))
| ~ in(X2,unordered_quadruple(sK12,sK14,X1,sK13))
| sK16(unordered_quadruple(sK12,sK14,X1,sK13)) = X1 ),
inference(superposition,[],[f112,f344]) ).
fof(f369,plain,
! [X0,X1] :
( ~ in(sK15,unordered_quadruple(sK12,sK14,X0,sK13))
| ~ in(X1,unordered_quadruple(sK12,sK14,X0,sK13))
| sK16(unordered_quadruple(sK12,sK14,X0,sK13)) = X0 ),
inference(resolution,[],[f354,f106]) ).
fof(f628,plain,
! [X0] :
( ~ in(X0,unordered_quadruple(sK12,sK14,sK15,sK13))
| sK15 = sK16(unordered_quadruple(sK12,sK14,sK15,sK13)) ),
inference(resolution,[],[f369,f120]) ).
fof(f630,definition,
( spl17_1
<=> sK15 = sK16(unordered_quadruple(sK12,sK14,sK15,sK13)) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f631,plain,
( sK15 = sK16(unordered_quadruple(sK12,sK14,sK15,sK13))
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f633,definition,
( spl17_2
<=> ! [X0] : ~ in(X0,unordered_quadruple(sK12,sK14,sK15,sK13)) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f634,plain,
( ! [X0] : ~ in(X0,unordered_quadruple(sK12,sK14,sK15,sK13))
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f635,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f628,f633,f630]) ).
fof(f637,plain,
( $false
| ~ spl17_2 ),
inference(unit_resulting_resolution,[],[f113,f116,f634]) ).
fof(f649,plain,
~ spl17_2,
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f723,plain,
( ! [X0,X1] :
( ~ in(X0,sK15)
| ~ in(X0,unordered_quadruple(sK12,sK14,sK15,sK13))
| ~ in(X1,unordered_quadruple(sK12,sK14,sK15,sK13)) )
| ~ spl17_1 ),
inference(superposition,[],[f112,f631]) ).
fof(f725,definition,
( spl17_9
<=> ! [X0] :
( ~ in(X0,sK15)
| ~ in(X0,unordered_quadruple(sK12,sK14,sK15,sK13)) ) ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
fof(f726,plain,
( ! [X0] :
( ~ in(X0,sK15)
| ~ in(X0,unordered_quadruple(sK12,sK14,sK15,sK13)) )
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f727,plain,
( spl17_2
| spl17_9
| ~ spl17_1 ),
inference(avatar_split_clause,[],[f723,f630,f725,f633]) ).
fof(f731,plain,
( ~ in(sK14,unordered_quadruple(sK12,sK14,sK15,sK13))
| ~ spl17_9 ),
inference(resolution,[],[f726,f107]) ).
fof(f734,plain,
( $false
| ~ spl17_9 ),
inference(forward_subsumption_resolution,[],[f731,f118]) ).
fof(f735,plain,
~ spl17_9,
inference(avatar_contradiction_clause,[],[f734]) ).
cnf(s1,plain,
( spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f635]) ).
cnf(s8,plain,
~ spl17_2,
inference(sat_conversion,[],[f649]) ).
cnf(s33,plain,
( ~ spl17_1
| spl17_2
| spl17_9 ),
inference(sat_conversion,[],[f727]) ).
cnf(s35,plain,
~ spl17_9,
inference(sat_conversion,[],[f735]) ).
cnf(s36,plain,
( ~ spl17_1
| spl17_2 ),
inference(rat,[],[s33,s35]) ).
cnf(s40,plain,
~ spl17_1,
inference(rat,[],[s36,s8]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s1,s8,s40]) ).
fof(f736,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM380+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 % Computer : n007.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sun Sep 27 19:43:10 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.34 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 6.67/1.93 % (1736150)Detected formulas, will run a generic FOF schedule.
% 6.67/1.93 % (1736161)dis-21_1_sil=8000:lcm=predicate:random_seed=2311044337: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)
% 6.67/1.93 % (1736160)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1454149209:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.67/1.93 % (1736159)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=63688269:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.67/1.93 % (1736158)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3081092795:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.67/1.93 % (1736155)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=2673024244:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.67/1.93 % (1736157)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=589366978:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.67/1.93 % (1736156)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=691451361:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.67/1.93 % (1736161)Instruction limit reached!
% 6.67/1.93 % (1736161)------------------------------
% 6.67/1.93 % (1736161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736161)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736161)Termination reason: Instruction limit
% 6.67/1.93 % (1736161)Termination phase: Saturation
% 6.67/1.93 % (1736161)Time elapsed: 0.037 s
% 6.67/1.93 % (1736161)Peak memory usage: 89 MB
% 6.67/1.93 % (1736161)Instructions burned: 132 (million)
% 6.67/1.93 % (1736158)Refutation not found, incomplete strategy
% 6.67/1.93 % (1736158)------------------------------
% 6.67/1.93 % (1736158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736159)Refutation not found, incomplete strategy
% 6.67/1.93 % (1736159)------------------------------
% 6.67/1.93 % (1736159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736158)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736159)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736158)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.93 % (1736158)Time elapsed: 0.001 s
% 6.67/1.93 % (1736159)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.93 % (1736159)Time elapsed: 0.001 s
% 6.67/1.93 % (1736158)Peak memory usage: 88 MB
% 6.67/1.93 % (1736159)Peak memory usage: 88 MB
% 6.67/1.93 % (1736160)Instruction limit reached!
% 6.67/1.93 % (1736160)------------------------------
% 6.67/1.93 % (1736160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736160)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736160)Termination reason: Instruction limit
% 6.67/1.93 % (1736160)Termination phase: Saturation
% 6.67/1.93 % (1736160)Time elapsed: 0.086 s
% 6.67/1.93 % (1736160)Peak memory usage: 89 MB
% 6.67/1.93 % (1736160)Instructions burned: 140 (million)
% 6.67/1.93 % (1736169)lrs+10_1_sil=8000:sp=occurrence:random_seed=215497066:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.67/1.93 % (1736169)Instruction limit reached!
% 6.67/1.93 % (1736169)------------------------------
% 6.67/1.93 % (1736169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736169)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736169)Termination reason: Instruction limit
% 6.67/1.93 % (1736169)Termination phase: Saturation
% 6.67/1.93 % (1736169)Time elapsed: 0.070 s
% 6.67/1.93 % (1736169)Peak memory usage: 90 MB
% 6.67/1.93 % (1736169)Instructions burned: 290 (million)
% 6.67/1.93 % (1736170)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1047072108:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.67/1.93 % (1736170)Refutation not found, incomplete strategy
% 6.67/1.93 % (1736170)------------------------------
% 6.67/1.93 % (1736170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736170)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736170)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.93 % (1736170)Time elapsed: 0.016 s
% 6.67/1.93 % (1736170)Peak memory usage: 89 MB
% 6.67/1.93 % (1736170)Instructions burned: 26 (million)
% 6.67/1.93 % (1736158)------------------------------
% 6.67/1.93 % (1736158)------------------------------
% 6.67/1.93 % (1736159)------------------------------
% 6.67/1.93 % (1736159)------------------------------
% 6.67/1.93 % (1736172)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2036623993:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.67/1.93 % (1736172)Instruction limit reached!
% 6.67/1.93 % (1736172)------------------------------
% 6.67/1.93 % (1736172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736172)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736172)Termination reason: Instruction limit
% 6.67/1.93 % (1736172)Termination phase: Saturation
% 6.67/1.93 % (1736172)Time elapsed: 0.091 s
% 6.67/1.93 % (1736172)Peak memory usage: 90 MB
% 6.67/1.93 % (1736172)Instructions burned: 326 (million)
% 6.67/1.93 % (1736174)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=2706274243:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.67/1.93 % (1736175)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3741418219:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.67/1.93 % (1736175)Refutation not found, incomplete strategy
% 6.67/1.93 % (1736175)------------------------------
% 6.67/1.93 % (1736175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736175)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736175)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.93 % (1736175)Time elapsed: 0.001 s
% 6.67/1.93 % (1736175)Peak memory usage: 88 MB
% 6.67/1.93 % (1736177)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2344251748:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.67/1.93 % (1736170)------------------------------
% 6.67/1.93 % (1736170)------------------------------
% 6.67/1.93 % (1736174)Instruction limit reached!
% 6.67/1.93 % (1736174)------------------------------
% 6.67/1.93 % (1736174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736174)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736174)Termination reason: Instruction limit
% 6.67/1.93 % (1736174)Termination phase: Saturation
% 6.67/1.93 % (1736174)Time elapsed: 0.122 s
% 6.67/1.93 % (1736174)Peak memory usage: 90 MB
% 6.67/1.93 % (1736174)Instructions burned: 249 (million)
% 6.67/1.93 % (1736181)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=510886173:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.67/1.93 % (1736182)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=679978610:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.67/1.93 % (1736175)------------------------------
% 6.67/1.93 % (1736175)------------------------------
% 6.67/1.93 % (1736181)Instruction limit reached!
% 6.67/1.93 % (1736181)------------------------------
% 6.67/1.93 % (1736181)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736181)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736181)Termination reason: Instruction limit
% 6.67/1.93 % (1736181)Termination phase: Saturation
% 6.67/1.93 % (1736181)Time elapsed: 0.071 s
% 6.67/1.93 % (1736181)Peak memory usage: 89 MB
% 6.67/1.93 % (1736181)Instructions burned: 115 (million)
% 6.67/1.93 % (1736182)Instruction limit reached!
% 6.67/1.93 % (1736182)------------------------------
% 6.67/1.93 % (1736182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736182)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736182)Termination reason: Instruction limit
% 6.67/1.93 % (1736182)Termination phase: Saturation
% 6.67/1.93 % (1736182)Time elapsed: 0.063 s
% 6.67/1.93 % (1736182)Peak memory usage: 89 MB
% 6.67/1.93 % (1736182)Instructions burned: 129 (million)
% 6.67/1.93 % (1736156)First to succeed.
% 6.67/1.93 % (1736156)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1736150"
% 6.67/1.93 % (1736185)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3393875393:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.67/1.93 % (1736185)Also succeeded, but the first one will report.
% 6.67/1.93 % (1736186)lrs+10_1_sil=8000:sp=occurrence:random_seed=700041052:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.67/1.93 % (1736187)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4171507149:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.67/1.93 % (1736187)Refutation not found, incomplete strategy
% 6.67/1.93 % (1736187)------------------------------
% 6.67/1.93 % (1736187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.93 % (1736187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.93 % (1736187)CaDiCaL version: 2.1.3
% 6.67/1.93 % (1736187)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.93 % (1736187)Time elapsed: 0.002 s
% 6.67/1.93 % (1736187)Peak memory usage: 88 MB
% 6.67/1.93 % (1736187)Instructions burned: 2 (million)
% 6.67/1.93 % (1736156)Refutation found. Thanks to Tanya!
% 6.67/1.93 % SZS status Theorem for theBenchmark
% 6.67/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 8.37/2.12 % (1736156)------------------------------
% 8.37/2.12 % (1736156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.37/2.12 % (1736156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/2.12 % (1736156)CaDiCaL version: 2.1.3
% 8.37/2.12 % (1736156)Termination reason: Refutation
% 8.37/2.12 % (1736156)Time elapsed: 0.705 s
% 8.37/2.12 % (1736156)Peak memory usage: 129 MB
% 8.37/2.12 % (1736156)Instructions burned: 1041 (million)
% 8.37/2.12 % (1736156)------------------------------
% 8.37/2.12 % (1736156)------------------------------
% 8.37/2.12 % (1736150)Success in time 1.112 s
% 8.37/2.12 % Vampire exiting
%------------------------------------------------------------------------------