%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV849-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 01:19:39 PM UTC 2026
% Result : Unsatisfiable 0.64s 0.96s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 25
% Syntax : Number of formulae : 96 ( 21 unt; 12 def)
% Number of atoms : 243 ( 11 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 273 ( 126 ~; 135 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 12 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f533,negated_conjecture,
hBOOL(hAPP(v_ba,v_s0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f534,negated_conjecture,
c_Natural_Oevaln(v_ca,v_s0,v_na,v_s1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f536,negated_conjecture,
v_ba = v_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f537,negated_conjecture,
v_ca = v_c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f538,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_xb),v_s0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f539,negated_conjecture,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f540,negated_conjecture,
( hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f545,negated_conjecture,
! [X0] :
( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).
fof(f546,negated_conjecture,
! [X0] :
( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_13) ).
fof(f547,negated_conjecture,
! [X0] :
( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_14) ).
fof(f548,negated_conjecture,
! [X0] :
( c_Com_Ocom_OWhile(v_ba,v_ca) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_15) ).
fof(f549,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ c_Natural_Oevaln(v_c,X2,X3,X1)
| hBOOL(hAPP(hAPP(v_P,X0),X1))
| ~ hBOOL(hAPP(v_b,X2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X3)),v_G)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_16) ).
fof(f550,negated_conjecture,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X3,v_n(X3),t_a)
| ~ c_Natural_Oevaln(v_c,X2,X3,X1)
| ~ hBOOL(hAPP(v_b,X2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2))
| hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_17) ).
fof(f582,plain,
hBOOL(hAPP(v_b,v_s0)),
inference(definition_unfolding,[],[f533,f536]) ).
fof(f583,plain,
c_Natural_Oevaln(v_c,v_s0,v_na,v_s1),
inference(definition_unfolding,[],[f534,f537]) ).
fof(f589,plain,
! [X0] :
( c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c)
| hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
inference(definition_unfolding,[],[f545,f536,f537]) ).
fof(f590,plain,
! [X0] :
( c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
inference(definition_unfolding,[],[f546,f536,f537]) ).
fof(f591,plain,
! [X0] :
( c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c)
| hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(definition_unfolding,[],[f547,f536,f537]) ).
fof(f592,plain,
! [X0] :
( c_Com_Ocom_OWhile(v_b,v_c) != c_Com_Ocom_OWhile(v_b,v_c)
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(definition_unfolding,[],[f548,f536,f537]) ).
fof(f593,definition,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).
fof(f874,plain,
! [X0] :
( ~ sQ0_eqProxy(c_Com_Ocom_OWhile(v_b,v_c),c_Com_Ocom_OWhile(v_b,v_c))
| hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
inference(equality_proxy_replacement,[],[f589,f593]) ).
fof(f875,plain,
! [X0] :
( ~ sQ0_eqProxy(c_Com_Ocom_OWhile(v_b,v_c),c_Com_Ocom_OWhile(v_b,v_c))
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
inference(equality_proxy_replacement,[],[f590,f593]) ).
fof(f876,plain,
! [X0] :
( ~ sQ0_eqProxy(c_Com_Ocom_OWhile(v_b,v_c),c_Com_Ocom_OWhile(v_b,v_c))
| hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(equality_proxy_replacement,[],[f591,f593]) ).
fof(f877,plain,
! [X0] :
( ~ sQ0_eqProxy(c_Com_Ocom_OWhile(v_b,v_c),c_Com_Ocom_OWhile(v_b,v_c))
| ~ hBOOL(hAPP(v_b,v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(equality_proxy_replacement,[],[f592,f593]) ).
fof(f879,plain,
! [X0] : sQ0_eqProxy(X0,X0),
inference(equality_proxy_axiom,[],[f593]) ).
fof(f882,definition,
( spl1_1
<=> c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f883,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| spl1_1 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f885,definition,
( spl1_2
<=> ! [X0] : ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f886,plain,
( ! [X0] : ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ spl1_2 ),
inference(avatar_component_clause,[],[f885]) ).
fof(f888,definition,
( spl1_3
<=> hBOOL(hAPP(v_b,v_s2)) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f891,definition,
( spl1_4
<=> sQ0_eqProxy(c_Com_Ocom_OWhile(v_b,v_c),c_Com_Ocom_OWhile(v_b,v_c)) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f892,plain,
( ~ sQ0_eqProxy(c_Com_Ocom_OWhile(v_b,v_c),c_Com_Ocom_OWhile(v_b,v_c))
| spl1_4 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f893,plain,
( ~ spl1_1
| spl1_2
| ~ spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f877,f891,f888,f885,f882]) ).
fof(f895,definition,
( spl1_5
<=> ! [X0] :
( hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) ) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f896,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(v_P,X0),v_s2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s1)) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f897,plain,
( ~ spl1_1
| spl1_5
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f876,f891,f895,f882]) ).
fof(f899,definition,
( spl1_6
<=> hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f900,plain,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f901,plain,
( spl1_6
| spl1_2
| ~ spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f875,f891,f888,f885,f899]) ).
fof(f902,plain,
( spl1_6
| spl1_5
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f874,f891,f895,f899]) ).
fof(f917,definition,
( spl1_11
<=> ! [X0] :
( hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f918,plain,
( ! [X0] :
( ~ hBOOL(hAPP(hAPP(v_P,X0),v_s0))
| hBOOL(hAPP(hAPP(v_P,X0),v_s1)) )
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f926,definition,
( spl1_13
<=> hBOOL(hAPP(hAPP(v_P,v_xb),v_s2)) ),
introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).
fof(f927,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s2))
| spl1_13 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f929,plain,
( ~ spl1_13
| spl1_3 ),
inference(avatar_split_clause,[],[f540,f888,f926]) ).
fof(f930,plain,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_c,X0,v_na,X1)
| ~ hBOOL(hAPP(v_b,X0))
| ~ hBOOL(hAPP(hAPP(v_P,X2),X0))
| hBOOL(hAPP(hAPP(v_P,X2),X1))
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G)) ),
inference(resolution,[],[f550,f539]) ).
fof(f932,definition,
( spl1_14
<=> hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G)) ),
introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).
fof(f935,definition,
( spl1_15
<=> ! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_c,X0,v_na,X1)
| hBOOL(hAPP(hAPP(v_P,X2),X1))
| ~ hBOOL(hAPP(hAPP(v_P,X2),X0))
| ~ hBOOL(hAPP(v_b,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).
fof(f936,plain,
( ! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_c,X0,v_na,X1)
| hBOOL(hAPP(hAPP(v_P,X2),X1))
| ~ hBOOL(hAPP(hAPP(v_P,X2),X0))
| ~ hBOOL(hAPP(v_b,X0)) )
| ~ spl1_15 ),
inference(avatar_component_clause,[],[f935]) ).
fof(f937,plain,
( ~ spl1_14
| spl1_15 ),
inference(avatar_split_clause,[],[f930,f935,f932]) ).
fof(f938,plain,
! [X0] :
( hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ hBOOL(hAPP(v_b,v_s0))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s0))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_na)),v_G)) ),
inference(resolution,[],[f549,f583]) ).
fof(f941,definition,
( spl1_16
<=> hBOOL(hAPP(v_b,v_s0)) ),
introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).
fof(f942,plain,
( ~ hBOOL(hAPP(v_b,v_s0))
| spl1_16 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f943,plain,
( spl1_14
| ~ spl1_16
| spl1_11 ),
inference(avatar_split_clause,[],[f938,f917,f941,f932]) ).
fof(f944,plain,
( $false
| spl1_16 ),
inference(resolution,[],[f942,f582]) ).
fof(f945,plain,
spl1_16,
inference(avatar_contradiction_clause,[],[f944]) ).
fof(f946,plain,
( hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
| ~ spl1_11 ),
inference(resolution,[],[f918,f538]) ).
fof(f947,plain,
( $false
| spl1_4 ),
inference(resolution,[],[f879,f892]) ).
fof(f948,plain,
spl1_4,
inference(avatar_contradiction_clause,[],[f947]) ).
fof(f949,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G))
| spl1_1 ),
inference(resolution,[],[f883,f539]) ).
fof(f950,plain,
( ~ hBOOL(hAPP(hAPP(v_P,v_xb),v_s1))
| ~ spl1_5
| spl1_13 ),
inference(resolution,[],[f896,f927]) ).
fof(f951,plain,
( $false
| ~ spl1_5
| ~ spl1_11
| spl1_13 ),
inference(resolution,[],[f950,f946]) ).
fof(f952,plain,
( ~ spl1_5
| ~ spl1_11
| spl1_13 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f953,plain,
( $false
| spl1_1
| ~ spl1_6 ),
inference(resolution,[],[f949,f900]) ).
fof(f954,plain,
( spl1_1
| ~ spl1_6 ),
inference(avatar_contradiction_clause,[],[f953]) ).
fof(f955,plain,
( $false
| ~ spl1_2
| ~ spl1_11 ),
inference(resolution,[],[f886,f946]) ).
fof(f956,plain,
( ~ spl1_2
| ~ spl1_11 ),
inference(avatar_contradiction_clause,[],[f955]) ).
fof(f957,plain,
( ! [X0] :
( hBOOL(hAPP(hAPP(v_P,X0),v_s1))
| ~ hBOOL(hAPP(hAPP(v_P,X0),v_s0))
| ~ hBOOL(hAPP(v_b,v_s0)) )
| ~ spl1_15 ),
inference(resolution,[],[f936,f583]) ).
fof(f958,plain,
( ~ spl1_16
| spl1_11
| ~ spl1_15 ),
inference(avatar_split_clause,[],[f957,f935,f917,f941]) ).
cnf(s1,plain,
( ~ spl1_1
| spl1_2
| ~ spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f893]) ).
cnf(s2,plain,
( ~ spl1_1
| ~ spl1_4
| spl1_5 ),
inference(sat_conversion,[],[f897]) ).
cnf(s3,plain,
( spl1_2
| ~ spl1_3
| ~ spl1_4
| spl1_6 ),
inference(sat_conversion,[],[f901]) ).
cnf(s4,plain,
( ~ spl1_4
| spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f902]) ).
cnf(s9,plain,
( spl1_3
| ~ spl1_13 ),
inference(sat_conversion,[],[f929]) ).
cnf(s10,plain,
( ~ spl1_14
| spl1_15 ),
inference(sat_conversion,[],[f937]) ).
cnf(s11,plain,
( spl1_11
| spl1_14
| ~ spl1_16 ),
inference(sat_conversion,[],[f943]) ).
cnf(s12,plain,
spl1_16,
inference(sat_conversion,[],[f945]) ).
cnf(s13,plain,
spl1_4,
inference(sat_conversion,[],[f948]) ).
cnf(s14,plain,
( ~ spl1_5
| ~ spl1_11
| spl1_13 ),
inference(sat_conversion,[],[f952]) ).
cnf(s15,plain,
( spl1_1
| ~ spl1_6 ),
inference(sat_conversion,[],[f954]) ).
cnf(s16,plain,
( ~ spl1_2
| ~ spl1_11 ),
inference(sat_conversion,[],[f956]) ).
cnf(s17,plain,
( spl1_11
| ~ spl1_15
| ~ spl1_16 ),
inference(sat_conversion,[],[f958]) ).
cnf(s18,plain,
( spl1_11
| spl1_14 ),
inference(rat,[],[s11,s12]) ).
cnf(s19,plain,
( spl1_5
| spl1_6 ),
inference(rat,[],[s4,s13]) ).
cnf(s20,plain,
( spl1_2
| ~ spl1_3
| spl1_6 ),
inference(rat,[],[s3,s13]) ).
cnf(s21,plain,
( ~ spl1_1
| spl1_5 ),
inference(rat,[],[s2,s13]) ).
cnf(s22,plain,
( ~ spl1_1
| spl1_2
| ~ spl1_3 ),
inference(rat,[],[s1,s13]) ).
cnf(s23,plain,
spl1_11,
inference(rat,[],[s10,s18,s17,s12]) ).
cnf(s24,plain,
~ spl1_2,
inference(rat,[],[s16,s23]) ).
cnf(s25,plain,
spl1_6,
inference(rat,[],[s9,s20,s14,s19,s24,s23]) ).
cnf(s26,plain,
spl1_1,
inference(rat,[],[s15,s25]) ).
cnf(s27,plain,
spl1_5,
inference(rat,[],[s21,s26]) ).
cnf(s28,plain,
~ spl1_3,
inference(rat,[],[s22,s24,s26]) ).
cnf(s29,plain,
spl1_13,
inference(rat,[],[s14,s23,s27]) ).
cnf(s30,plain,
$false,
inference(rat,[],[s9,s29,s28]) ).
fof(f959,plain,
$false,
inference(avatar_sat_refutation,[],[s30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV849-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n014.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Mon Sep 28 12:43:01 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running first-order theorem proving
% 0.11/0.21 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
% 0.64/0.96 % (1754235)Input is clausal, will run a generic CNF schedule.
% 0.64/0.96 % (1754246)dis-21_1_sil=8000:lcm=predicate:random_seed=3885928904:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.64/0.96 % (1754246)First to succeed.
% 0.64/0.96 % (1754246)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1754235"
% 0.64/0.96 % (1754244)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1508929093:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.64/0.96 % (1754243)lrs+10_1_sil=8000:sp=occurrence:random_seed=3560409654:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.64/0.96 % (1754241)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2753839013:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.64/0.96 % (1754240)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=3263134499:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.64/0.96 % (1754245)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=397160852:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.64/0.96 % (1754242)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2093450457:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.64/0.96 % (1754243)Also succeeded, but the first one will report.
% 0.64/0.96 % (1754244)Also succeeded, but the first one will report.
% 0.64/0.96 % (1754245)Also succeeded, but the first one will report.
% 0.64/0.96 % (1754246)Refutation found. Thanks to Tanya!
% 0.64/0.96 % SZS status Unsatisfiable for theBenchmark
% 0.64/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/1.16 % (1754246)------------------------------
% 2.74/1.16 % (1754246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.16 % (1754246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.16 % (1754246)CaDiCaL version: 2.1.3
% 2.74/1.16 % (1754246)Termination reason: Refutation
% 2.74/1.16 % (1754246)Time elapsed: 0.007 s
% 2.74/1.16 % (1754246)Peak memory usage: 89 MB
% 2.74/1.16 % (1754246)Instructions burned: 24 (million)
% 2.74/1.16 % (1754246)------------------------------
% 2.74/1.16 % (1754246)------------------------------
% 2.74/1.16 % (1754235)Success in time 0.312 s
% 2.74/1.16 % Vampire exiting
%------------------------------------------------------------------------------