%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU137+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 : n019.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 2.41s 1.17s
% Output : Refutation 2.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 87 ( 16 unt; 7 def)
% Number of atoms : 300 ( 33 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 342 ( 129 ~; 140 |; 55 &)
% ( 14 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 124 ( 0 sgn 114 !; 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(f36,axiom,
! [X0,X1] : subset(set_difference(X0,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_xboole_1) ).
fof(f43,conjecture,
! [X0,X1] :
( subset(X0,X1)
=> X1 = set_union2(X0,set_difference(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).
fof(f44,negated_conjecture,
~ ! [X0,X1] :
( subset(X0,X1)
=> X1 = set_union2(X0,set_difference(X1,X0)) ),
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f51,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X2,X1) )
=> subset(set_union2(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(f58,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f73,plain,
? [X0,X1] :
( set_union2(X0,set_difference(X1,X0)) != X1
& subset(X0,X1) ),
inference(ennf_transformation,[],[f44]) ).
fof(f78,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(ennf_transformation,[],[f51]) ).
fof(f79,plain,
! [X0,X1,X2] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f81,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f80]) ).
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(nnf_transformation,[],[f6]) ).
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) ) ) )
& ( ! [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,[],[f85]) ).
fof(f87,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,[],[f86]) ).
fof(f88,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))],[f87]) ).
fof(f89,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,[],[f58]) ).
fof(f90,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,[],[f89]) ).
fof(f91,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))],[f90]) ).
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(nnf_transformation,[],[f9]) ).
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) ) ) )
& ( ! [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,[],[f96]) ).
fof(f98,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,[],[f97]) ).
fof(f99,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))],[f98]) ).
fof(f108,plain,
( sK10 != set_union2(sK9,set_difference(sK10,sK9))
& subset(sK9,sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10]),skolemize(X0,sK9),skolemize(X1,sK10)],[f73]) ).
fof(f115,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f119,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X1)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f120,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f125,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f126,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f135,plain,
! [X2,X0,X1,X4] :
( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1)
| set_difference(X0,X1) != X2 ),
inference(cnf_transformation,[],[f99]) ).
fof(f164,plain,
! [X0,X1] : subset(set_difference(X0,X1),X0),
inference(cnf_transformation,[],[f36]) ).
fof(f174,plain,
subset(sK9,sK10),
inference(cnf_transformation,[],[f108]) ).
fof(f175,plain,
sK10 != set_union2(sK9,set_difference(sK10,sK9)),
inference(cnf_transformation,[],[f108]) ).
fof(f183,plain,
! [X2,X0,X1] :
( subset(set_union2(X0,X2),X1)
| ~ subset(X0,X1)
| ~ subset(X2,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f187,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X0) ),
inference(equality_resolution,[],[f120]) ).
fof(f188,plain,
! [X0,X1,X4] :
( in(X4,set_union2(X0,X1))
| ~ in(X4,X1) ),
inference(equality_resolution,[],[f119]) ).
fof(f193,plain,
! [X0,X1,X4] :
( in(X4,set_difference(X0,X1))
| ~ in(X4,X0)
| in(X4,X1) ),
inference(equality_resolution,[],[f135]) ).
fof(f196,definition,
! [X0,X1] :
( sQ12_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ12_eqProxy])],[equality_proxy_definition]) ).
fof(f199,plain,
! [X0,X1] :
( sQ12_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f115,f196]) ).
fof(f228,plain,
~ sQ12_eqProxy(sK10,set_union2(sK9,set_difference(sK10,sK9))),
inference(equality_proxy_replacement,[],[f175,f196]) ).
fof(f233,plain,
! [X0,X1] :
( sQ12_eqProxy(X1,X0)
| ~ sQ12_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f196]) ).
fof(f237,plain,
~ sQ12_eqProxy(set_union2(sK9,set_difference(sK10,sK9)),sK10),
inference(resolution,[],[f233,f228]) ).
fof(f334,plain,
( ~ subset(set_union2(sK9,set_difference(sK10,sK9)),sK10)
| ~ subset(sK10,set_union2(sK9,set_difference(sK10,sK9))) ),
inference(resolution,[],[f199,f237]) ).
fof(f339,definition,
( spl13_6
<=> subset(set_union2(sK9,set_difference(sK10,sK9)),sK10) ),
introduced(definition,[new_symbols(definition,[spl13_6])],[avatar_definition]) ).
fof(f340,plain,
( ~ subset(set_union2(sK9,set_difference(sK10,sK9)),sK10)
| spl13_6 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f342,definition,
( spl13_7
<=> subset(sK10,set_union2(sK9,set_difference(sK10,sK9))) ),
introduced(definition,[new_symbols(definition,[spl13_7])],[avatar_definition]) ).
fof(f343,plain,
( ~ subset(sK10,set_union2(sK9,set_difference(sK10,sK9)))
| spl13_7 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f345,plain,
( ~ spl13_7
| ~ spl13_6 ),
inference(avatar_split_clause,[],[f334,f339,f342]) ).
fof(f857,plain,
( ~ in(sK2(sK10,set_union2(sK9,set_difference(sK10,sK9))),set_union2(sK9,set_difference(sK10,sK9)))
| spl13_7 ),
inference(resolution,[],[f343,f126]) ).
fof(f858,plain,
( in(sK2(sK10,set_union2(sK9,set_difference(sK10,sK9))),sK10)
| spl13_7 ),
inference(resolution,[],[f343,f125]) ).
fof(f872,plain,
( ~ in(sK2(sK10,set_union2(sK9,set_difference(sK10,sK9))),set_difference(sK10,sK9))
| spl13_7 ),
inference(resolution,[],[f857,f188]) ).
fof(f873,plain,
( ~ in(sK2(sK10,set_union2(sK9,set_difference(sK10,sK9))),sK9)
| spl13_7 ),
inference(resolution,[],[f857,f187]) ).
fof(f1737,plain,
( ~ in(sK2(sK10,set_union2(sK9,set_difference(sK10,sK9))),sK10)
| in(sK2(sK10,set_union2(sK9,set_difference(sK10,sK9))),sK9)
| spl13_7 ),
inference(resolution,[],[f193,f872]) ).
fof(f1741,definition,
( spl13_21
<=> in(sK2(sK10,set_union2(sK9,set_difference(sK10,sK9))),sK9) ),
introduced(definition,[new_symbols(definition,[spl13_21])],[avatar_definition]) ).
fof(f1742,plain,
( in(sK2(sK10,set_union2(sK9,set_difference(sK10,sK9))),sK9)
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1744,definition,
( spl13_22
<=> in(sK2(sK10,set_union2(sK9,set_difference(sK10,sK9))),sK10) ),
introduced(definition,[new_symbols(definition,[spl13_22])],[avatar_definition]) ).
fof(f1745,plain,
( ~ in(sK2(sK10,set_union2(sK9,set_difference(sK10,sK9))),sK10)
| spl13_22 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f1746,plain,
( spl13_21
| ~ spl13_22
| spl13_7 ),
inference(avatar_split_clause,[],[f1737,f342,f1744,f1741]) ).
fof(f1747,plain,
( $false
| spl13_7
| spl13_22 ),
inference(resolution,[],[f1745,f858]) ).
fof(f1757,plain,
( spl13_7
| spl13_22 ),
inference(avatar_contradiction_clause,[],[f1747]) ).
fof(f1772,plain,
( $false
| spl13_7
| ~ spl13_21 ),
inference(resolution,[],[f1742,f873]) ).
fof(f1776,plain,
( spl13_7
| ~ spl13_21 ),
inference(avatar_contradiction_clause,[],[f1772]) ).
fof(f1779,plain,
( ~ subset(sK9,sK10)
| ~ subset(set_difference(sK10,sK9),sK10)
| spl13_6 ),
inference(resolution,[],[f340,f183]) ).
fof(f1784,definition,
( spl13_27
<=> subset(set_difference(sK10,sK9),sK10) ),
introduced(definition,[new_symbols(definition,[spl13_27])],[avatar_definition]) ).
fof(f1785,plain,
( ~ subset(set_difference(sK10,sK9),sK10)
| spl13_27 ),
inference(avatar_component_clause,[],[f1784]) ).
fof(f1787,definition,
( spl13_28
<=> subset(sK9,sK10) ),
introduced(definition,[new_symbols(definition,[spl13_28])],[avatar_definition]) ).
fof(f1788,plain,
( ~ subset(sK9,sK10)
| spl13_28 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f1789,plain,
( ~ spl13_27
| ~ spl13_28
| spl13_6 ),
inference(avatar_split_clause,[],[f1779,f339,f1787,f1784]) ).
fof(f1790,plain,
( $false
| spl13_27 ),
inference(resolution,[],[f1785,f164]) ).
fof(f1794,plain,
spl13_27,
inference(avatar_contradiction_clause,[],[f1790]) ).
fof(f1795,plain,
( $false
| spl13_28 ),
inference(resolution,[],[f1788,f174]) ).
fof(f1799,plain,
spl13_28,
inference(avatar_contradiction_clause,[],[f1795]) ).
cnf(s8,plain,
( ~ spl13_6
| ~ spl13_7 ),
inference(sat_conversion,[],[f345]) ).
cnf(s18,plain,
( spl13_7
| spl13_21
| ~ spl13_22 ),
inference(sat_conversion,[],[f1746]) ).
cnf(s19,plain,
( spl13_7
| spl13_22 ),
inference(sat_conversion,[],[f1757]) ).
cnf(s22,plain,
( spl13_7
| ~ spl13_21 ),
inference(sat_conversion,[],[f1776]) ).
cnf(s23,plain,
( spl13_6
| ~ spl13_27
| ~ spl13_28 ),
inference(sat_conversion,[],[f1789]) ).
cnf(s24,plain,
spl13_27,
inference(sat_conversion,[],[f1794]) ).
cnf(s25,plain,
spl13_28,
inference(sat_conversion,[],[f1799]) ).
cnf(s26,plain,
spl13_6,
inference(rat,[],[s23,s25,s24]) ).
cnf(s27,plain,
~ spl13_7,
inference(rat,[],[s8,s26]) ).
cnf(s28,plain,
~ spl13_21,
inference(rat,[],[s22,s27]) ).
cnf(s29,plain,
spl13_22,
inference(rat,[],[s19,s27]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s18,s29,s28,s27]) ).
fof(f1800,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU137+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 03:41:49 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.41/1.17 % (3640734)Detected formulas, will run a generic FOF schedule.
% 2.41/1.17 % (3640745)dis-21_1_sil=8000:lcm=predicate:random_seed=3025763818: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)
% 2.41/1.17 % (3640745)First to succeed.
% 2.41/1.17 % (3640745)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3640734"
% 2.41/1.17 % (3640740)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=554695782:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.41/1.17 % (3640742)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1061080474:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.41/1.17 % (3640741)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=2859958195:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.41/1.17 % (3640739)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=870183777:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.41/1.17 % (3640743)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3149463209:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.41/1.17 % (3640743)Also succeeded, but the first one will report.
% 2.41/1.17 % (3640744)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3107905823:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.41/1.17 % (3640742)Also succeeded, but the first one will report.
% 2.41/1.17 % (3640744)Also succeeded, but the first one will report.
% 2.41/1.17 % (3640745)Refutation found. Thanks to Tanya!
% 2.41/1.17 % SZS status Theorem for theBenchmark
% 2.41/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.77/1.37 % (3640745)------------------------------
% 2.77/1.37 % (3640745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.37 % (3640745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.37 % (3640745)CaDiCaL version: 2.1.3
% 2.77/1.37 % (3640745)Termination reason: Refutation
% 2.77/1.37 % (3640745)Time elapsed: 0.018 s
% 2.77/1.37 % (3640745)Peak memory usage: 89 MB
% 2.77/1.37 % (3640745)Instructions burned: 47 (million)
% 2.77/1.37 % (3640745)------------------------------
% 2.77/1.37 % (3640745)------------------------------
% 2.77/1.37 % (3640734)Success in time 0.311 s
% 2.77/1.37 % Vampire exiting
%------------------------------------------------------------------------------