%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU136+2 : 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 : n002.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 12:47:22 PM UTC 2026
% Result : Theorem 1.76s 1.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 74 ( 15 unt; 5 def)
% Number of atoms : 273 ( 34 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 319 ( 120 ~; 133 |; 52 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 126 ( 0 sgn 116 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f6,axiom,
! [X0,X1,X2] :
( X2 = set_union2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
| in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f7,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f9,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f35,axiom,
! [X0,X1,X2] :
( subset(X0,X1)
=> subset(set_difference(X0,X2),set_difference(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_xboole_1) ).
fof(f42,conjecture,
! [X0,X1] : set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_xboole_1) ).
fof(f43,negated_conjecture,
~ ! [X0,X1] : set_difference(set_union2(X0,X1),X1) = set_difference(X0,X1),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f48,axiom,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f57,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f69,plain,
! [X0,X1,X2] :
( subset(set_difference(X0,X2),set_difference(X1,X2))
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f72,plain,
? [X0,X1] : set_difference(X0,X1) != set_difference(set_union2(X0,X1),X1),
inference(ennf_transformation,[],[f43]) ).
fof(f79,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f80,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f79]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ( ~ in(X3,X0)
& ~ in(X3,X1) ) )
& ( in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ? [X3] :
( ( ( ~ in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) )
& ( in(X3,X0)
| in(X3,X1)
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(rectify,[],[f85]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( X2 = set_union2(X0,X1)
| ( ( ( ~ in(sK1(X0,X1,X2),X0)
& ~ in(sK1(X0,X1,X2),X1) )
| ~ in(sK1(X0,X1,X2),X2) )
& ( in(sK1(X0,X1,X2),X0)
| in(sK1(X0,X1,X2),X1)
| in(sK1(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ( ~ in(X4,X0)
& ~ in(X4,X1) ) )
& ( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2) ) )
| set_union2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f57]) ).
fof(f89,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f88]) ).
fof(f90,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK2(X0,X1),X1)
& in(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f89]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f96]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK4(X0,X1,X2),X0)
| in(sK4(X0,X1,X2),X1)
| ~ in(sK4(X0,X1,X2),X2) )
& ( ( in(sK4(X0,X1,X2),X0)
& ~ in(sK4(X0,X1,X2),X1) )
| in(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f97]) ).
fof(f107,plain,
set_difference(sK9,sK10) != set_difference(set_union2(sK9,sK10),sK10),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f72]) ).
fof(f114,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f117,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| in(X4,X1)
| ~ in(X4,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f87]) ).
fof(f124,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f125,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f132,plain,
! [X2,X0,X1,X4] :
( ~ in(X4,X1)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f98]) ).
fof(f133,plain,
! [X2,X0,X1,X4] :
( in(X4,X0)
| ~ in(X4,X2)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f98]) ).
fof(f134,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f98]) ).
fof(f162,plain,
! [X2,X0,X1] :
( subset(set_difference(X0,X2),set_difference(X1,X2))
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f172,plain,
set_difference(sK9,sK10) != set_difference(set_union2(sK9,sK10),sK10),
inference(cnf_transformation,[],[f107]) ).
fof(f178,plain,
! [X0,X1] : subset(X0,set_union2(X0,X1)),
inference(cnf_transformation,[],[f48]) ).
fof(f186,plain,
! [X0,X1,X4] :
( ~ in(X4,set_union2(X0,X1))
| in(X4,X1)
| in(X4,X0) ),
inference(equality_resolution,[],[f117]) ).
fof(f190,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f134]) ).
fof(f191,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| in(X4,X0) ),
inference(equality_resolution,[],[f133]) ).
fof(f192,plain,
! [X0,X1,X4] :
( ~ in(X4,set_difference(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f132]) ).
fof(f193,definition,
! [X0,X1] :
( sQ12_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ12_eqProxy])],[equality_proxy_definition]) ).
fof(f196,plain,
! [X0,X1] :
( sQ12_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f114,f193]) ).
fof(f224,plain,
~ sQ12_eqProxy(set_difference(sK9,sK10),set_difference(set_union2(sK9,sK10),sK10)),
inference(equality_proxy_replacement,[],[f172,f193]) ).
fof(f323,plain,
( ~ subset(set_difference(sK9,sK10),set_difference(set_union2(sK9,sK10),sK10))
| ~ subset(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)) ),
inference(resolution,[],[f196,f224]) ).
fof(f329,definition,
( spl13_6
<=> subset(set_difference(sK9,sK10),set_difference(set_union2(sK9,sK10),sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f330,plain,
( ~ subset(set_difference(sK9,sK10),set_difference(set_union2(sK9,sK10),sK10))
| spl13_6 ),
inference(avatar_component_clause,[],[f329]) ).
fof(f332,definition,
( spl13_7
<=> subset(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f333,plain,
( ~ subset(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10))
| spl13_7 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f335,plain,
( ~ spl13_7
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f323,f329,f332]) ).
fof(f546,plain,
( ~ subset(sK9,set_union2(sK9,sK10))
| spl13_6 ),
inference(resolution,[],[f162,f330]) ).
fof(f562,plain,
( $false
| spl13_6 ),
inference(resolution,[],[f546,f178]) ).
fof(f566,plain,
spl13_6,
inference(avatar_contradiction_clause,[],[f562]) ).
fof(f569,plain,
( ~ in(sK2(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)),set_difference(sK9,sK10))
| spl13_7 ),
inference(resolution,[],[f333,f125]) ).
fof(f570,plain,
( in(sK2(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)),set_difference(set_union2(sK9,sK10),sK10))
| spl13_7 ),
inference(resolution,[],[f333,f124]) ).
fof(f589,plain,
( ~ in(sK2(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)),sK10)
| spl13_7 ),
inference(resolution,[],[f570,f192]) ).
fof(f590,plain,
( in(sK2(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)),set_union2(sK9,sK10))
| spl13_7 ),
inference(resolution,[],[f570,f191]) ).
fof(f1354,plain,
( in(sK2(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)),sK10)
| in(sK2(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)),sK9)
| spl13_7 ),
inference(resolution,[],[f186,f590]) ).
fof(f1359,definition,
( spl13_20
<=> in(sK2(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)),sK9) ),
introduced(definition,[new_symbols(definition,[spl13_20])],[avatar_definition]) ).
fof(f1362,definition,
( spl13_21
<=> in(sK2(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)),sK10) ),
introduced(definition,[new_symbols(definition,[spl13_21])],[avatar_definition]) ).
fof(f1363,plain,
( in(sK2(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)),sK10)
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f1364,plain,
( spl13_20
| spl13_21
| spl13_7 ),
inference(avatar_split_clause,[],[f1354,f332,f1362,f1359]) ).
fof(f1854,plain,
( ~ in(sK2(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)),sK9)
| in(sK2(set_difference(set_union2(sK9,sK10),sK10),set_difference(sK9,sK10)),sK10)
| spl13_7 ),
inference(resolution,[],[f190,f569]) ).
fof(f1863,plain,
( spl13_21
| ~ spl13_20
| spl13_7 ),
inference(avatar_split_clause,[],[f1854,f332,f1359,f1362]) ).
fof(f1864,plain,
( $false
| spl13_7
| ~ spl13_21 ),
inference(resolution,[],[f1363,f589]) ).
fof(f1867,plain,
( spl13_7
| ~ spl13_21 ),
inference(avatar_contradiction_clause,[],[f1864]) ).
cnf(s8,plain,
( ~ spl13_6
| ~ spl13_7 ),
inference(sat_conversion,[],[f335]) ).
cnf(s9,plain,
spl13_6,
inference(sat_conversion,[],[f566]) ).
cnf(s16,plain,
( spl13_7
| spl13_20
| spl13_21 ),
inference(sat_conversion,[],[f1364]) ).
cnf(s29,plain,
( spl13_7
| ~ spl13_20
| spl13_21 ),
inference(sat_conversion,[],[f1863]) ).
cnf(s30,plain,
( spl13_7
| ~ spl13_21 ),
inference(sat_conversion,[],[f1867]) ).
cnf(s33,plain,
~ spl13_7,
inference(rat,[],[s8,s9]) ).
cnf(s34,plain,
~ spl13_21,
inference(rat,[],[s30,s33]) ).
cnf(s35,plain,
~ spl13_20,
inference(rat,[],[s29,s34,s33]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s16,s34,s35,s33]) ).
fof(f1868,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU136+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 03:43:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 1.76/1.30 % (4127435)Detected formulas, will run a generic FOF schedule.
% 1.76/1.30 % (4127440)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=2766953237:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.76/1.30 % (4127443)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2254182173:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.76/1.30 % (4127446)dis-21_1_sil=8000:lcm=predicate:random_seed=1845768455: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)
% 1.76/1.30 % (4127444)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1589960280:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.76/1.30 % (4127441)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=1212548160:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.76/1.30 % (4127442)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=3917994101:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.76/1.30 % (4127445)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1050771842:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.76/1.30 % (4127446)First to succeed.
% 1.76/1.30 % (4127446)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4127435"
% 1.76/1.30 % (4127443)Instruction limit reached!
% 1.76/1.30 % (4127443)------------------------------
% 1.76/1.30 % (4127443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.76/1.30 % (4127443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/1.30 % (4127443)CaDiCaL version: 2.1.3
% 1.76/1.30 % (4127443)Termination reason: Instruction limit
% 1.76/1.30 % (4127443)Termination phase: Saturation
% 1.76/1.30 % (4127443)Time elapsed: 0.074 s
% 1.76/1.30 % (4127443)Peak memory usage: 89 MB
% 1.76/1.30 % (4127443)Instructions burned: 110 (million)
% 1.76/1.30 % (4127444)Instruction limit reached!
% 1.76/1.30 % (4127444)------------------------------
% 1.76/1.30 % (4127444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.76/1.30 % (4127444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/1.30 % (4127444)CaDiCaL version: 2.1.3
% 1.76/1.30 % (4127444)Termination reason: Instruction limit
% 1.76/1.30 % (4127444)Termination phase: Saturation
% 1.76/1.30 % (4127444)Time elapsed: 0.078 s
% 1.76/1.30 % (4127444)Peak memory usage: 88 MB
% 1.76/1.30 % (4127444)Instructions burned: 120 (million)
% 1.76/1.30 % (4127445)Instruction limit reached!
% 1.76/1.30 % (4127445)------------------------------
% 1.76/1.30 % (4127445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.76/1.30 % (4127445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.76/1.30 % (4127445)CaDiCaL version: 2.1.3
% 1.76/1.30 % (4127445)Termination reason: Instruction limit
% 1.76/1.30 % (4127445)Termination phase: Saturation
% 1.76/1.30 % (4127445)Time elapsed: 0.092 s
% 1.76/1.30 % (4127445)Peak memory usage: 89 MB
% 1.76/1.30 % (4127445)Instructions burned: 140 (million)
% 1.76/1.30 % (4127455)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1070902375:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.76/1.30 % (4127454)lrs+10_1_sil=8000:sp=occurrence:random_seed=321559206:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.76/1.30 % (4127456)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1446440376:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 1.76/1.30 % (4127446)Refutation found. Thanks to Tanya!
% 1.76/1.30 % SZS status Theorem for theBenchmark
% 1.76/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.40 % (4127446)------------------------------
% 0.18/1.40 % (4127446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.40 % (4127446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.40 % (4127446)CaDiCaL version: 2.1.3
% 0.18/1.40 % (4127446)Termination reason: Refutation
% 0.18/1.40 % (4127446)Time elapsed: 0.032 s
% 0.18/1.40 % (4127446)Peak memory usage: 89 MB
% 0.18/1.40 % (4127446)Instructions burned: 48 (million)
% 0.18/1.40 % (4127446)------------------------------
% 0.18/1.40 % (4127446)------------------------------
% 0.18/1.40 % (4127435)Success in time 0.458 s
% 0.18/1.40 % Vampire exiting
%------------------------------------------------------------------------------