%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU232+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:47:54 PM UTC 2026
% Result : Theorem 15.67s 3.12s
% Output : Refutation 16.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 123 ( 24 unt; 7 def)
% Number of atoms : 316 ( 24 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 312 ( 119 ~; 130 |; 46 &)
% ( 9 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 92 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f4,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f26,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f32,axiom,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
~ ( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_ordinal1) ).
fof(f34,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f37,axiom,
! [X0] :
( ordinal(X0)
<=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_ordinal1) ).
fof(f186,conjecture,
! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
fof(f187,negated_conjecture,
~ ! [X0,X1] :
( ordinal(X1)
=> ( in(X0,X1)
=> ordinal(X0) ) ),
inference(negated_conjecture,[status(cth)],[f186]) ).
fof(f208,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& in(X1,X2)
& in(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_ordinal1) ).
fof(f269,plain,
? [X0,X1] :
( ~ ordinal(X0)
& in(X0,X1)
& ordinal(X1) ),
inference(ennf_transformation,[],[f187]) ).
fof(f270,plain,
? [X0,X1] :
( ~ ordinal(X0)
& in(X0,X1)
& ordinal(X1) ),
inference(flattening,[],[f269]) ).
fof(f272,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ in(X1,X2)
| ~ in(X2,X0) ),
inference(ennf_transformation,[],[f208]) ).
fof(f274,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f279,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f284,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f285,plain,
! [X0] :
( epsilon_connected(X0)
<=> ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| in(X1,X2)
| X1 = X2
| in(X2,X1) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f288,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f289,plain,
( ~ ordinal(sK0)
& in(sK0,sK1)
& ordinal(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f270]) ).
fof(f294,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f295,plain,
! [X0] :
( ( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) )
& ( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ) ),
inference(flattening,[],[f294]) ).
fof(f296,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f297,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ? [X1] :
( ~ subset(X1,X0)
& in(X1,X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(rectify,[],[f296]) ).
fof(f298,plain,
! [X0] :
( ( epsilon_transitive(X0)
| ( ~ subset(sK5(X0),X0)
& in(sK5(X0),X0) ) )
& ( ! [X2] :
( subset(X2,X0)
| ~ in(X2,X0) )
| ~ epsilon_transitive(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f297]) ).
fof(f299,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) )
& ( ! [X1,X2] :
( ~ in(X1,X0)
| ~ in(X2,X0)
| in(X1,X2)
| X1 = X2
| in(X2,X1) )
| ~ epsilon_connected(X0) ) ),
inference(nnf_transformation,[],[f285]) ).
fof(f300,plain,
! [X0] :
( ( epsilon_connected(X0)
| ? [X1,X2] :
( in(X1,X0)
& in(X2,X0)
& ~ in(X1,X2)
& X1 != X2
& ~ in(X2,X1) ) )
& ( ! [X3,X4] :
( ~ in(X3,X0)
| ~ in(X4,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3) )
| ~ epsilon_connected(X0) ) ),
inference(rectify,[],[f299]) ).
fof(f301,plain,
! [X0] :
( ( epsilon_connected(X0)
| ( in(sK6(X0),X0)
& in(sK7(X0),X0)
& ~ in(sK6(X0),sK7(X0))
& sK6(X0) != sK7(X0)
& ~ in(sK7(X0),sK6(X0)) ) )
& ( ! [X3,X4] :
( ~ in(X3,X0)
| ~ in(X4,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3) )
| ~ epsilon_connected(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X1,sK6(X0)),skolemize(X2,sK7(X0))],[f300]) ).
fof(f302,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,[],[f288]) ).
fof(f303,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,[],[f302]) ).
fof(f304,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK8(X0,X1),X1)
& in(sK8(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f303]) ).
fof(f307,plain,
ordinal(sK1),
inference(cnf_transformation,[],[f289]) ).
fof(f308,plain,
in(sK0,sK1),
inference(cnf_transformation,[],[f289]) ).
fof(f309,plain,
~ ordinal(sK0),
inference(cnf_transformation,[],[f289]) ).
fof(f312,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ in(X1,X2)
| ~ in(X2,X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f315,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f322,plain,
! [X0] :
( ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ),
inference(cnf_transformation,[],[f295]) ).
fof(f324,plain,
! [X0] :
( epsilon_connected(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f325,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f279]) ).
fof(f330,plain,
! [X2,X0] :
( subset(X2,X0)
| ~ in(X2,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f331,plain,
! [X0] :
( in(sK5(X0),X0)
| epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f332,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ subset(sK5(X0),X0) ),
inference(cnf_transformation,[],[f298]) ).
fof(f333,plain,
! [X3,X0,X4] :
( ~ epsilon_connected(X0)
| ~ in(X4,X0)
| in(X3,X4)
| X3 = X4
| in(X4,X3)
| ~ in(X3,X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f334,plain,
! [X0] :
( epsilon_connected(X0)
| ~ in(sK7(X0),sK6(X0)) ),
inference(cnf_transformation,[],[f301]) ).
fof(f335,plain,
! [X0] :
( epsilon_connected(X0)
| sK6(X0) != sK7(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f336,plain,
! [X0] :
( epsilon_connected(X0)
| ~ in(sK6(X0),sK7(X0)) ),
inference(cnf_transformation,[],[f301]) ).
fof(f337,plain,
! [X0] :
( in(sK7(X0),X0)
| epsilon_connected(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f338,plain,
! [X0] :
( epsilon_connected(X0)
| in(sK6(X0),X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f341,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f304]) ).
fof(f342,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK8(X0,X1),X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f343,plain,
! [X0,X1] :
( ~ in(sK8(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f304]) ).
fof(f353,plain,
ordinal(sK0),
inference(consistent_polarity_flipping,[],[f309]) ).
fof(f354,plain,
~ ordinal(sK1),
inference(consistent_polarity_flipping,[],[f307]) ).
fof(f357,plain,
! [X0] :
( ~ ordinal(X0)
| ~ epsilon_transitive(X0)
| ~ epsilon_connected(X0) ),
inference(consistent_polarity_flipping,[],[f322]) ).
fof(f361,plain,
! [X0] :
( epsilon_transitive(X0)
| ordinal(X0) ),
inference(consistent_polarity_flipping,[],[f325]) ).
fof(f362,plain,
! [X0] :
( epsilon_connected(X0)
| ordinal(X0) ),
inference(consistent_polarity_flipping,[],[f324]) ).
fof(f368,plain,
( ~ epsilon_transitive(sK0)
| ~ epsilon_connected(sK0) ),
inference(resolution,[],[f353,f357]) ).
fof(f369,plain,
epsilon_connected(sK1),
inference(unit_resulting_resolution,[],[f362,f354]) ).
fof(f370,plain,
epsilon_transitive(sK1),
inference(unit_resulting_resolution,[],[f361,f354]) ).
fof(f391,plain,
subset(sK0,sK1),
inference(unit_resulting_resolution,[],[f330,f308,f370]) ).
fof(f404,definition,
( spl11_1
<=> epsilon_connected(sK0) ),
introduced(definition,[new_symbols(definition,[spl11_1])],[avatar_definition]) ).
fof(f406,plain,
( ~ epsilon_connected(sK0)
| spl11_1 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f408,definition,
( spl11_2
<=> epsilon_transitive(sK0) ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f410,plain,
( ~ epsilon_transitive(sK0)
| spl11_2 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f411,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(avatar_split_clause,[],[f368,f408,f404]) ).
fof(f416,plain,
( ~ subset(sK5(sK0),sK0)
| spl11_2 ),
inference(resolution,[],[f410,f332]) ).
fof(f419,definition,
sF12 = sK5(sK0),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f420,plain,
sK5(sK0) = sF12,
inference(reorient_equations,[],[f419]) ).
fof(f424,plain,
( in(sF12,sK0)
| epsilon_transitive(sK0) ),
inference(superposition,[],[f331,f420]) ).
fof(f425,plain,
( in(sF12,sK0)
| spl11_2 ),
inference(forward_subsumption_resolution,[],[f424,f410]) ).
fof(f432,plain,
( in(sF12,sK1)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f341,f391,f425]) ).
fof(f437,plain,
( ! [X0] :
( ~ in(X0,sF12)
| ~ in(sK0,X0) )
| spl11_2 ),
inference(resolution,[],[f425,f312]) ).
fof(f506,plain,
( subset(sF12,sK1)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f330,f370,f432]) ).
fof(f694,definition,
! [X0] : sF18(X0) = sK8(sK0,X0),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f695,plain,
! [X0] : sK8(sK0,X0) = sF18(X0),
inference(reorient_equations,[],[f694]) ).
fof(f741,plain,
( in(sK8(sK5(sK0),sK0),sK5(sK0))
| spl11_2 ),
inference(resolution,[],[f416,f342]) ).
fof(f743,plain,
( ~ subset(sF12,sK0)
| spl11_2 ),
inference(superposition,[],[f416,f420]) ).
fof(f744,plain,
( in(sK8(sF12,sK0),sF12)
| spl11_2 ),
inference(forward_demodulation,[],[f741,f420]) ).
fof(f747,definition,
sF19 = sK8(sF12,sK0),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f748,plain,
sK8(sF12,sK0) = sF19,
inference(reorient_equations,[],[f747]) ).
fof(f857,plain,
( ~ in(sF19,sK0)
| subset(sF12,sK0) ),
inference(superposition,[],[f343,f748]) ).
fof(f858,plain,
( ~ in(sF19,sK0)
| spl11_2 ),
inference(forward_subsumption_resolution,[],[f857,f743]) ).
fof(f876,plain,
( in(sK8(sF12,sK0),sK1)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f341,f506,f744]) ).
fof(f881,plain,
( ~ in(sK0,sK8(sF12,sK0))
| spl11_2 ),
inference(resolution,[],[f744,f437]) ).
fof(f883,plain,
( ~ in(sF12,sK8(sF12,sK0))
| spl11_2 ),
inference(resolution,[],[f744,f315]) ).
fof(f888,plain,
( ~ in(sF12,sF19)
| spl11_2 ),
inference(forward_demodulation,[],[f883,f748]) ).
fof(f890,plain,
( ~ in(sK0,sF19)
| spl11_2 ),
inference(forward_demodulation,[],[f881,f748]) ).
fof(f902,plain,
( in(sF19,sK1)
| spl11_2 ),
inference(forward_demodulation,[],[f876,f748]) ).
fof(f939,plain,
( ~ subset(sK0,sF19)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f341,f425,f888]) ).
fof(f955,plain,
( sK0 = sF19
| spl11_2 ),
inference(unit_resulting_resolution,[],[f333,f369,f890,f858,f308,f902]) ).
fof(f978,plain,
( ~ in(sK8(sK0,sF19),sF19)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f343,f939]) ).
fof(f979,plain,
( in(sK8(sK0,sF19),sK0)
| spl11_2 ),
inference(resolution,[],[f939,f342]) ).
fof(f981,plain,
( in(sF18(sF19),sK0)
| spl11_2 ),
inference(forward_demodulation,[],[f979,f695]) ).
fof(f983,plain,
( ~ in(sK8(sK0,sK0),sK0)
| spl11_2 ),
inference(forward_demodulation,[],[f978,f955]) ).
fof(f984,plain,
( in(sF18(sK0),sK0)
| spl11_2 ),
inference(forward_demodulation,[],[f981,f955]) ).
fof(f986,plain,
( ~ in(sF18(sK0),sK0)
| spl11_2 ),
inference(forward_demodulation,[],[f983,f695]) ).
fof(f987,plain,
( $false
| spl11_2 ),
inference(forward_subsumption_resolution,[],[f986,f984]) ).
fof(f988,plain,
spl11_2,
inference(avatar_contradiction_clause,[],[f987]) ).
fof(f995,plain,
( in(sK7(sK0),sK0)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f337,f406]) ).
fof(f999,plain,
( ~ in(sK7(sK0),sK6(sK0))
| spl11_1 ),
inference(resolution,[],[f406,f334]) ).
fof(f1000,plain,
( sK7(sK0) != sK6(sK0)
| spl11_1 ),
inference(resolution,[],[f406,f335]) ).
fof(f1001,plain,
( ~ in(sK6(sK0),sK7(sK0))
| spl11_1 ),
inference(resolution,[],[f406,f336]) ).
fof(f1002,plain,
( in(sK6(sK0),sK0)
| spl11_1 ),
inference(resolution,[],[f406,f338]) ).
fof(f1005,definition,
sF23 = sK6(sK0),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f1006,plain,
sK6(sK0) = sF23,
inference(reorient_equations,[],[f1005]) ).
fof(f1007,definition,
sF24 = sK7(sK0),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f1008,plain,
sK7(sK0) = sF24,
inference(reorient_equations,[],[f1007]) ).
fof(f1026,plain,
( in(sK7(sK0),sK1)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f341,f391,f995]) ).
fof(f1047,plain,
( in(sF24,sK1)
| spl11_1 ),
inference(forward_demodulation,[],[f1026,f1008]) ).
fof(f1135,plain,
( in(sK6(sK0),sK1)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f341,f391,f1002]) ).
fof(f1156,plain,
( in(sF23,sK1)
| spl11_1 ),
inference(forward_demodulation,[],[f1135,f1006]) ).
fof(f1215,plain,
( ~ in(sK7(sK0),sF23)
| spl11_1 ),
inference(superposition,[],[f999,f1006]) ).
fof(f1216,plain,
( ~ in(sF24,sF23)
| spl11_1 ),
inference(forward_demodulation,[],[f1215,f1008]) ).
fof(f1308,plain,
( sK6(sK0) != sF24
| spl11_1 ),
inference(superposition,[],[f1000,f1008]) ).
fof(f1314,plain,
( sF23 != sF24
| spl11_1 ),
inference(forward_demodulation,[],[f1308,f1006]) ).
fof(f1322,plain,
( ~ in(sK6(sK0),sF24)
| spl11_1 ),
inference(superposition,[],[f1001,f1008]) ).
fof(f1323,plain,
( ~ in(sF23,sF24)
| spl11_1 ),
inference(forward_demodulation,[],[f1322,f1006]) ).
fof(f1352,plain,
( in(sF23,sF24)
| spl11_1 ),
inference(unit_resulting_resolution,[],[f333,f369,f1047,f1156,f1216,f1314]) ).
fof(f1355,plain,
( $false
| spl11_1 ),
inference(forward_subsumption_resolution,[],[f1352,f1323]) ).
fof(f1356,plain,
spl11_1,
inference(avatar_contradiction_clause,[],[f1355]) ).
cnf(s1,plain,
( ~ spl11_1
| ~ spl11_2 ),
inference(sat_conversion,[],[f411]) ).
cnf(s13,plain,
spl11_2,
inference(sat_conversion,[],[f988]) ).
cnf(s15,plain,
spl11_1,
inference(sat_conversion,[],[f1356]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s13,s15]) ).
fof(f1357,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU232+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n008.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 04:13:39 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 13.39/2.84 % (1862739)Detected formulas, will run a generic FOF schedule.
% 13.39/2.84 % (1862745)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=2849155716:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.39/2.84 % (1862749)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3315371833:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.39/2.84 % (1862750)dis-21_1_sil=8000:lcm=predicate:random_seed=4288016123: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)
% 13.39/2.84 % (1862747)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3501928553:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.39/2.84 % (1862744)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=1947081977:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.39/2.84 % (1862748)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3320358715:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.39/2.84 % (1862746)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=19367950:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.39/2.84 % (1862750)Instruction limit reached!
% 13.39/2.84 % (1862750)------------------------------
% 13.39/2.84 % (1862750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.39/2.84 % (1862750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.84 % (1862750)CaDiCaL version: 2.1.3
% 13.39/2.84 % (1862750)Termination reason: Instruction limit
% 13.39/2.84 % (1862750)Termination phase: Saturation
% 13.39/2.84 % (1862750)Time elapsed: 0.062 s
% 13.39/2.84 % (1862750)Peak memory usage: 90 MB
% 13.39/2.84 % (1862750)Instructions burned: 130 (million)
% 13.39/2.84 % (1862747)Instruction limit reached!
% 13.39/2.84 % (1862747)------------------------------
% 13.39/2.84 % (1862747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.39/2.84 % (1862747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.84 % (1862747)CaDiCaL version: 2.1.3
% 13.39/2.84 % (1862747)Termination reason: Instruction limit
% 13.39/2.84 % (1862747)Termination phase: Saturation
% 13.39/2.84 % (1862747)Time elapsed: 0.069 s
% 13.39/2.84 % (1862747)Peak memory usage: 90 MB
% 13.39/2.84 % (1862747)Instructions burned: 110 (million)
% 13.39/2.84 % (1862748)Instruction limit reached!
% 13.39/2.84 % (1862748)------------------------------
% 13.39/2.84 % (1862748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.39/2.84 % (1862748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.84 % (1862748)CaDiCaL version: 2.1.3
% 13.39/2.84 % (1862748)Termination reason: Instruction limit
% 13.39/2.84 % (1862748)Termination phase: Saturation
% 13.39/2.84 % (1862748)Time elapsed: 0.080 s
% 13.39/2.84 % (1862748)Peak memory usage: 89 MB
% 13.39/2.84 % (1862748)Instructions burned: 120 (million)
% 13.39/2.84 % (1862749)Instruction limit reached!
% 13.39/2.84 % (1862749)------------------------------
% 13.39/2.84 % (1862749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.39/2.84 % (1862749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.84 % (1862749)CaDiCaL version: 2.1.3
% 13.39/2.84 % (1862749)Termination reason: Instruction limit
% 13.39/2.84 % (1862749)Termination phase: Saturation
% 13.39/2.84 % (1862749)Time elapsed: 0.100 s
% 13.39/2.84 % (1862749)Peak memory usage: 90 MB
% 13.39/2.84 % (1862749)Instructions burned: 139 (million)
% 13.39/2.84 % (1862759)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2828590908:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.39/2.84 % (1862758)lrs+10_1_sil=8000:sp=occurrence:random_seed=3844441870:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.39/2.84 % (1862759)Refutation not found, incomplete strategy
% 13.39/2.84 % (1862759)------------------------------
% 13.39/2.84 % (1862759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.39/2.84 % (1862759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.39/2.84 % (1862759)CaDiCaL version: 2.1.3
% 13.39/2.84 % (1862759)Termination reason: Refutation not found, incomplete strategy
% 15.67/3.12 % (1862759)Time elapsed: 0.003 s
% 15.67/3.12 % (1862759)Peak memory usage: 89 MB
% 15.67/3.12 % (1862759)Instructions burned: 3 (million)
% 15.67/3.12 % (1862760)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2466136891:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.67/3.12 % (1862761)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=2518389483:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 15.67/3.12 % (1862760)Instruction limit reached!
% 15.67/3.12 % (1862760)------------------------------
% 15.67/3.12 % (1862760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862760)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862760)Termination reason: Instruction limit
% 15.67/3.12 % (1862760)Termination phase: Saturation
% 15.67/3.12 % (1862760)Time elapsed: 0.127 s
% 15.67/3.12 % (1862760)Peak memory usage: 93 MB
% 15.67/3.12 % (1862760)Instructions burned: 327 (million)
% 15.67/3.12 % (1862758)Instruction limit reached!
% 15.67/3.12 % (1862758)------------------------------
% 15.67/3.12 % (1862758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862758)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862758)Termination reason: Instruction limit
% 15.67/3.12 % (1862758)Termination phase: Saturation
% 15.67/3.12 % (1862758)Time elapsed: 0.188 s
% 15.67/3.12 % (1862758)Peak memory usage: 93 MB
% 15.67/3.12 % (1862758)Instructions burned: 285 (million)
% 15.67/3.12 % (1862761)Instruction limit reached!
% 15.67/3.12 % (1862761)------------------------------
% 15.67/3.12 % (1862761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862761)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862761)Termination reason: Instruction limit
% 15.67/3.12 % (1862761)Termination phase: Saturation
% 15.67/3.12 % (1862761)Time elapsed: 0.144 s
% 15.67/3.12 % (1862761)Peak memory usage: 93 MB
% 15.67/3.12 % (1862761)Instructions burned: 248 (million)
% 15.67/3.12 % (1862759)------------------------------
% 15.67/3.12 % (1862759)------------------------------
% 15.67/3.12 % (1862766)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=669054354:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 15.67/3.12 % (1862767)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1785603124:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.67/3.12 % (1862768)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3359009529:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.67/3.12 % (1862766)Instruction limit reached!
% 15.67/3.12 % (1862766)------------------------------
% 15.67/3.12 % (1862766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862766)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862766)Termination reason: Instruction limit
% 15.67/3.12 % (1862766)Termination phase: Saturation
% 15.67/3.12 % (1862766)Time elapsed: 0.104 s
% 15.67/3.12 % (1862766)Peak memory usage: 91 MB
% 15.67/3.12 % (1862766)Instructions burned: 296 (million)
% 15.67/3.12 % (1862769)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3903657055:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 15.67/3.12 % (1862768)Instruction limit reached!
% 15.67/3.12 % (1862768)------------------------------
% 15.67/3.12 % (1862768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862768)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862768)Termination reason: Instruction limit
% 15.67/3.12 % (1862768)Termination phase: Saturation
% 15.67/3.12 % (1862768)Time elapsed: 0.069 s
% 15.67/3.12 % (1862768)Peak memory usage: 90 MB
% 15.67/3.12 % (1862768)Instructions burned: 115 (million)
% 15.67/3.12 % (1862769)Instruction limit reached!
% 15.67/3.12 % (1862769)------------------------------
% 15.67/3.12 % (1862769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862769)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862769)Termination reason: Instruction limit
% 15.67/3.12 % (1862769)Termination phase: Saturation
% 15.67/3.12 % (1862769)Time elapsed: 0.070 s
% 15.67/3.12 % (1862769)Peak memory usage: 90 MB
% 15.67/3.12 % (1862769)Instructions burned: 129 (million)
% 15.67/3.12 % (1862773)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3304584867:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 15.67/3.12 % (1862775)lrs+10_1_sil=8000:sp=occurrence:random_seed=3660421261:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 15.67/3.12 % (1862773)Instruction limit reached!
% 15.67/3.12 % (1862773)------------------------------
% 15.67/3.12 % (1862773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862773)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862773)Termination reason: Instruction limit
% 15.67/3.12 % (1862773)Termination phase: Saturation
% 15.67/3.12 % (1862773)Time elapsed: 0.069 s
% 15.67/3.12 % (1862773)Peak memory usage: 89 MB
% 15.67/3.12 % (1862773)Instructions burned: 114 (million)
% 15.67/3.12 % (1862776)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=165368191:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 15.67/3.12 % (1862779)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3261694716:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 15.67/3.12 % (1862775)Instruction limit reached!
% 15.67/3.12 % (1862775)------------------------------
% 15.67/3.12 % (1862775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862775)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862775)Termination reason: Instruction limit
% 15.67/3.12 % (1862775)Termination phase: Saturation
% 15.67/3.12 % (1862775)Time elapsed: 0.300 s
% 15.67/3.12 % (1862775)Peak memory usage: 101 MB
% 15.67/3.12 % (1862775)Instructions burned: 908 (million)
% 15.67/3.12 % (1862776)Instruction limit reached!
% 15.67/3.12 % (1862776)------------------------------
% 15.67/3.12 % (1862776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862776)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862776)Termination reason: Instruction limit
% 15.67/3.12 % (1862776)Termination phase: Saturation
% 15.67/3.12 % (1862776)Time elapsed: 0.279 s
% 15.67/3.12 % (1862776)Peak memory usage: 93 MB
% 15.67/3.12 % (1862776)Instructions burned: 438 (million)
% 15.67/3.12 % (1862782)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1871429571:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 15.67/3.12 % (1862782)Instruction limit reached!
% 15.67/3.12 % (1862782)------------------------------
% 15.67/3.12 % (1862782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862782)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862782)Termination reason: Instruction limit
% 15.67/3.12 % (1862782)Termination phase: Saturation
% 15.67/3.12 % (1862782)Time elapsed: 0.044 s
% 15.67/3.12 % (1862782)Peak memory usage: 91 MB
% 15.67/3.12 % (1862782)Instructions burned: 134 (million)
% 15.67/3.12 % (1862783)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2040787329:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 15.67/3.12 % (1862785)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=169413535:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 15.67/3.12 % (1862783)Instruction limit reached!
% 15.67/3.12 % (1862783)------------------------------
% 15.67/3.12 % (1862783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862783)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862783)Termination reason: Instruction limit
% 15.67/3.12 % (1862783)Termination phase: Saturation
% 15.67/3.12 % (1862783)Time elapsed: 0.346 s
% 15.67/3.12 % (1862783)Peak memory usage: 98 MB
% 15.67/3.12 % (1862783)Instructions burned: 593 (million)
% 15.67/3.12 % (1862788)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=135998502:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2981 on theBenchmark for (2981ds/125Mi)
% 15.67/3.12 % (1862788)First to succeed.
% 15.67/3.12 % (1862788)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1862739"
% 15.67/3.12 % (1862767)Instruction limit reached!
% 15.67/3.12 % (1862767)------------------------------
% 15.67/3.12 % (1862767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.12 % (1862767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.12 % (1862767)CaDiCaL version: 2.1.3
% 15.67/3.12 % (1862767)Termination reason: Instruction limit
% 15.67/3.12 % (1862767)Termination phase: Saturation
% 15.67/3.12 % (1862767)Time elapsed: 1.482 s
% 15.67/3.12 % (1862767)Peak memory usage: 143 MB
% 15.67/3.12 % (1862767)Instructions burned: 2350 (million)
% 15.67/3.12 % (1862788)Refutation found. Thanks to Tanya!
% 15.67/3.12 % SZS status Theorem for theBenchmark
% 15.67/3.12 % SZS output start Proof for theBenchmark
% See solution above
% 16.50/3.32 % (1862788)------------------------------
% 16.50/3.32 % (1862788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.32 % (1862788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.32 % (1862788)CaDiCaL version: 2.1.3
% 16.50/3.32 % (1862788)Termination reason: Refutation
% 16.50/3.32 % (1862788)Time elapsed: 0.025 s
% 16.50/3.32 % (1862788)Peak memory usage: 90 MB
% 16.50/3.32 % (1862788)Instructions burned: 34 (million)
% 16.50/3.32 % (1862788)------------------------------
% 16.50/3.32 % (1862788)------------------------------
% 16.50/3.32 % (1862739)Success in time 2.252 s
% 16.50/3.32 % Vampire exiting
%------------------------------------------------------------------------------