%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM401+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 12:24:07 PM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 125 ( 18 unt; 9 def)
% Number of atoms : 317 ( 25 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 314 ( 122 ~; 151 |; 9 &)
% ( 21 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 75 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( ordinal(X0)
=> ( epsilon_transitive(X0)
& epsilon_connected(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_ordinal1) ).
fof(f9,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ( ordinal_subset(X0,X1)
| ordinal_subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectedness_r1_ordinal1) ).
fof(f10,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f11,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_ordinal1) ).
fof(f12,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f13,axiom,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( in(X1,X0)
=> subset(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_ordinal1) ).
fof(f14,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(f39,axiom,
! [X0,X1] :
( ( ordinal(X0)
& ordinal(X1) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
fof(f42,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_ordinal1) ).
fof(f46,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ~ ( ~ in(X0,X1)
& X0 != X1
& ~ in(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_ordinal1) ).
fof(f48,conjecture,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ( in(X0,succ(X1))
<=> ordinal_subset(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_ordinal1) ).
fof(f49,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ( in(X0,succ(X1))
<=> ordinal_subset(X0,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f69,plain,
! [X0] :
( ( epsilon_transitive(X0)
& epsilon_connected(X0) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f76,plain,
! [X0,X1] :
( ordinal_subset(X0,X1)
| ordinal_subset(X1,X0)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f77,plain,
! [X0,X1] :
( ordinal_subset(X0,X1)
| ordinal_subset(X1,X0)
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0] :
( epsilon_transitive(X0)
<=> ! [X1] :
( subset(X1,X0)
| ~ in(X1,X0) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f84,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f85,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X0)
| ~ ordinal(X1) ),
inference(flattening,[],[f84]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| X0 = X1
| in(X1,X0)
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(flattening,[],[f89]) ).
fof(f93,plain,
? [X0] :
( ? [X1] :
( ( in(X0,succ(X1))
<~> ordinal_subset(X0,X1) )
& ordinal(X1) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f103,plain,
! [X0] :
( epsilon_transitive(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f110,plain,
! [X0,X1] :
( ordinal_subset(X1,X0)
| ordinal_subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f113,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f114,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f11]) ).
fof(f116,plain,
! [X2,X0,X1] :
( X0 = X2
| ~ in(X2,X1)
| singleton(X0) != X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f119,plain,
! [X0,X1] :
( subset(X1,X0)
| ~ in(X1,X0)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f125,plain,
! [X2,X3,X0,X1] :
( in(X3,X1)
| in(X3,X0)
| ~ in(X3,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f14]) ).
fof(f127,plain,
! [X2,X3,X0,X1] :
( ~ in(X3,X0)
| in(X3,X2)
| set_union2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f14]) ).
fof(f180,plain,
! [X0,X1] :
( ordinal_subset(X0,X1)
| ~ ordinal(X0)
| ~ subset(X0,X1)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f181,plain,
! [X0,X1] :
( ~ ordinal_subset(X0,X1)
| ~ ordinal(X0)
| subset(X0,X1)
| ~ ordinal(X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f184,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f188,plain,
! [X0,X1] :
( ~ ordinal(X0)
| ~ ordinal(X1)
| in(X1,X0)
| X0 = X1
| in(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f190,plain,
( ordinal_subset(sK17,sK18)
| in(sK17,succ(sK18)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f191,plain,
( ~ ordinal_subset(sK17,sK18)
| ~ in(sK17,succ(sK18)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f192,plain,
ordinal(sK18),
inference(cnf_transformation,[],[f93]) ).
fof(f193,plain,
ordinal(sK17),
inference(cnf_transformation,[],[f93]) ).
fof(f206,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f184,f114]) ).
fof(f208,plain,
( ~ ordinal_subset(sK17,sK18)
| ~ in(sK17,set_union2(sK18,singleton(sK18))) ),
inference(definition_unfolding,[],[f191,f114]) ).
fof(f209,plain,
( ordinal_subset(sK17,sK18)
| in(sK17,set_union2(sK18,singleton(sK18))) ),
inference(definition_unfolding,[],[f190,f114]) ).
fof(f212,plain,
! [X2,X0] :
( ~ in(X2,singleton(X0))
| X0 = X2 ),
inference(equality_resolution,[],[f116]) ).
fof(f215,plain,
! [X3,X0,X1] :
( in(X3,set_union2(X0,X1))
| ~ in(X3,X0) ),
inference(equality_resolution,[],[f127]) ).
fof(f217,plain,
! [X3,X0,X1] :
( ~ in(X3,set_union2(X0,X1))
| in(X3,X0)
| in(X3,X1) ),
inference(equality_resolution,[],[f125]) ).
fof(f219,definition,
( spl19_1
<=> in(sK17,set_union2(sK18,singleton(sK18))) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f220,plain,
( ~ in(sK17,set_union2(sK18,singleton(sK18)))
| spl19_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f221,plain,
( in(sK17,set_union2(sK18,singleton(sK18)))
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f223,definition,
( spl19_2
<=> ordinal_subset(sK17,sK18) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f224,plain,
( ~ ordinal_subset(sK17,sK18)
| spl19_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f225,plain,
( ordinal_subset(sK17,sK18)
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f226,plain,
( spl19_1
| spl19_2 ),
inference(avatar_split_clause,[],[f209,f223,f219]) ).
fof(f227,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f208,f223,f219]) ).
fof(f338,plain,
( ~ in(sK17,sK18)
| spl19_1 ),
inference(resolution,[],[f215,f220]) ).
fof(f373,plain,
( ~ ordinal(sK17)
| subset(sK17,sK18)
| ~ ordinal(sK18)
| ~ spl19_2 ),
inference(resolution,[],[f181,f225]) ).
fof(f382,plain,
( subset(sK17,sK18)
| ~ ordinal(sK18)
| ~ spl19_2 ),
inference(forward_subsumption_resolution,[],[f373,f193]) ).
fof(f383,plain,
( subset(sK17,sK18)
| ~ spl19_2 ),
inference(forward_subsumption_resolution,[],[f382,f192]) ).
fof(f384,plain,
( ~ subset(sK18,sK17)
| sK17 = sK18
| ~ spl19_2 ),
inference(resolution,[],[f383,f113]) ).
fof(f387,definition,
( spl19_5
<=> sK17 = sK18 ),
introduced(definition,[new_symbols(definition,[spl19_5])],[avatar_definition]) ).
fof(f388,plain,
( sK17 != sK18
| spl19_5 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f389,plain,
( sK17 = sK18
| ~ spl19_5 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f391,definition,
( spl19_6
<=> subset(sK18,sK17) ),
introduced(definition,[new_symbols(definition,[spl19_6])],[avatar_definition]) ).
fof(f393,plain,
( ~ subset(sK18,sK17)
| spl19_6 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f395,plain,
( spl19_5
| ~ spl19_6
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f384,f223,f391,f387]) ).
fof(f406,plain,
( ~ in(sK18,sK17)
| ~ epsilon_transitive(sK17)
| spl19_6 ),
inference(resolution,[],[f393,f119]) ).
fof(f408,definition,
( spl19_7
<=> epsilon_transitive(sK17) ),
introduced(definition,[new_symbols(definition,[spl19_7])],[avatar_definition]) ).
fof(f410,plain,
( ~ epsilon_transitive(sK17)
| spl19_7 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f412,definition,
( spl19_8
<=> in(sK18,sK17) ),
introduced(definition,[new_symbols(definition,[spl19_8])],[avatar_definition]) ).
fof(f414,plain,
( ~ in(sK18,sK17)
| spl19_8 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f415,plain,
( ~ spl19_7
| ~ spl19_8
| spl19_6 ),
inference(avatar_split_clause,[],[f406,f391,f412,f408]) ).
fof(f427,plain,
( ~ ordinal(sK17)
| spl19_7 ),
inference(resolution,[],[f410,f103]) ).
fof(f428,plain,
( $false
| spl19_7 ),
inference(forward_subsumption_resolution,[],[f427,f193]) ).
fof(f429,plain,
spl19_7,
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f446,plain,
! [X0] :
( ~ ordinal(X0)
| in(sK17,X0)
| sK17 = X0
| in(X0,sK17) ),
inference(resolution,[],[f188,f193]) ).
fof(f479,plain,
( in(sK17,sK18)
| sK17 = sK18
| in(sK18,sK17) ),
inference(resolution,[],[f446,f192]) ).
fof(f481,plain,
( sK17 = sK18
| in(sK18,sK17)
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f479,f338]) ).
fof(f524,plain,
( sK17 = sK18
| spl19_1
| spl19_8 ),
inference(forward_subsumption_resolution,[],[f481,f414]) ).
fof(f535,plain,
( spl19_5
| spl19_1
| spl19_8 ),
inference(avatar_split_clause,[],[f524,f412,f219,f387]) ).
fof(f548,plain,
( ~ in(sK18,set_union2(sK18,singleton(sK18)))
| spl19_1
| ~ spl19_5 ),
inference(superposition,[],[f220,f389]) ).
fof(f561,plain,
( $false
| spl19_1
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f548,f206]) ).
fof(f562,plain,
( spl19_1
| ~ spl19_5 ),
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f565,plain,
( ~ ordinal(sK17)
| ~ subset(sK17,sK18)
| ~ ordinal(sK18)
| spl19_2 ),
inference(resolution,[],[f224,f180]) ).
fof(f567,plain,
( ordinal_subset(sK18,sK17)
| ~ ordinal(sK17)
| ~ ordinal(sK18)
| spl19_2 ),
inference(resolution,[],[f224,f110]) ).
fof(f568,plain,
( ordinal_subset(sK18,sK17)
| ~ ordinal(sK18)
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f567,f193]) ).
fof(f570,plain,
( ~ subset(sK17,sK18)
| ~ ordinal(sK18)
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f565,f193]) ).
fof(f571,plain,
( ordinal_subset(sK18,sK17)
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f568,f192]) ).
fof(f573,plain,
( ~ subset(sK17,sK18)
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f570,f192]) ).
fof(f579,plain,
( in(sK17,sK18)
| in(sK17,singleton(sK18))
| ~ spl19_1 ),
inference(resolution,[],[f221,f217]) ).
fof(f581,plain,
( ~ in(sK17,sK18)
| ~ epsilon_transitive(sK18)
| spl19_2 ),
inference(resolution,[],[f573,f119]) ).
fof(f649,plain,
( ~ ordinal_subset(sK18,sK18)
| spl19_2
| ~ spl19_5 ),
inference(superposition,[],[f224,f389]) ).
fof(f652,plain,
( ordinal_subset(sK18,sK18)
| spl19_2
| ~ spl19_5 ),
inference(superposition,[],[f571,f389]) ).
fof(f656,plain,
( $false
| spl19_2
| ~ spl19_5 ),
inference(forward_subsumption_resolution,[],[f649,f652]) ).
fof(f657,plain,
( spl19_2
| ~ spl19_5 ),
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f659,definition,
( spl19_20
<=> in(sK17,singleton(sK18)) ),
introduced(definition,[new_symbols(definition,[spl19_20])],[avatar_definition]) ).
fof(f661,plain,
( in(sK17,singleton(sK18))
| ~ spl19_20 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f663,definition,
( spl19_21
<=> in(sK17,sK18) ),
introduced(definition,[new_symbols(definition,[spl19_21])],[avatar_definition]) ).
fof(f666,plain,
( spl19_20
| spl19_21
| ~ spl19_1 ),
inference(avatar_split_clause,[],[f579,f219,f663,f659]) ).
fof(f668,definition,
( spl19_22
<=> epsilon_transitive(sK18) ),
introduced(definition,[new_symbols(definition,[spl19_22])],[avatar_definition]) ).
fof(f670,plain,
( ~ epsilon_transitive(sK18)
| spl19_22 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f671,plain,
( ~ spl19_22
| ~ spl19_21
| spl19_2 ),
inference(avatar_split_clause,[],[f581,f223,f663,f668]) ).
fof(f722,plain,
( sK17 = sK18
| ~ spl19_20 ),
inference(resolution,[],[f661,f212]) ).
fof(f723,plain,
( $false
| spl19_5
| ~ spl19_20 ),
inference(forward_subsumption_resolution,[],[f722,f388]) ).
fof(f724,plain,
( spl19_5
| ~ spl19_20 ),
inference(avatar_contradiction_clause,[],[f723]) ).
fof(f732,plain,
( ~ ordinal(sK18)
| spl19_22 ),
inference(resolution,[],[f670,f103]) ).
fof(f733,plain,
( $false
| spl19_22 ),
inference(forward_subsumption_resolution,[],[f732,f192]) ).
fof(f734,plain,
spl19_22,
inference(avatar_contradiction_clause,[],[f733]) ).
cnf(s1,plain,
( spl19_1
| spl19_2 ),
inference(sat_conversion,[],[f226]) ).
cnf(s2,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(sat_conversion,[],[f227]) ).
cnf(s5,plain,
( ~ spl19_2
| spl19_5
| ~ spl19_6 ),
inference(sat_conversion,[],[f395]) ).
cnf(s6,plain,
( spl19_6
| ~ spl19_7
| ~ spl19_8 ),
inference(sat_conversion,[],[f415]) ).
cnf(s7,plain,
spl19_7,
inference(sat_conversion,[],[f429]) ).
cnf(s12,plain,
( spl19_1
| spl19_5
| spl19_8 ),
inference(sat_conversion,[],[f535]) ).
cnf(s16,plain,
( spl19_1
| ~ spl19_5 ),
inference(sat_conversion,[],[f562]) ).
cnf(s20,plain,
( spl19_2
| ~ spl19_5 ),
inference(sat_conversion,[],[f657]) ).
cnf(s21,plain,
( ~ spl19_1
| spl19_20
| spl19_21 ),
inference(sat_conversion,[],[f666]) ).
cnf(s22,plain,
( spl19_2
| ~ spl19_21
| ~ spl19_22 ),
inference(sat_conversion,[],[f671]) ).
cnf(s28,plain,
( spl19_5
| ~ spl19_20 ),
inference(sat_conversion,[],[f724]) ).
cnf(s31,plain,
spl19_22,
inference(sat_conversion,[],[f734]) ).
cnf(s32,plain,
( spl19_2
| ~ spl19_21 ),
inference(rat,[],[s22,s31]) ).
cnf(s33,plain,
( spl19_6
| ~ spl19_8 ),
inference(rat,[],[s6,s7]) ).
cnf(s34,plain,
spl19_1,
inference(rat,[],[s33,s5,s12,s1,s16]) ).
cnf(s35,plain,
~ spl19_2,
inference(rat,[],[s2,s34]) ).
cnf(s36,plain,
~ spl19_21,
inference(rat,[],[s32,s35]) ).
cnf(s37,plain,
~ spl19_5,
inference(rat,[],[s20,s35]) ).
cnf(s39,plain,
spl19_20,
inference(rat,[],[s21,s34,s36]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s28,s39,s37]) ).
fof(f735,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM401+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 19:48:54 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.46 % (2683879)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (2683885)% WARNING: option uhcvi not known.
% 0.12/0.46 % (2683885)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3543089161:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (2683888)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2710489202:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (2683890)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1422138508:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % (2683884)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=826925026_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % (2683887)dis+10_1_sil=32000:sp=arity:random_seed=253545969:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (2683886)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3706195782:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (2683889)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4132081900:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.46 % TRYING [1]
% 0.12/0.46 % TRYING [2]
% 0.12/0.46 % TRYING [3]
% 0.12/0.46 % TRYING [4]
% 0.12/0.46 % (2683888) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2683879-2683888"...
% 0.12/0.46 % TRYING [5]
% 0.12/0.46 % (2683888)...printing done.
% 0.12/0.46 % (2683888)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (2683888)------------------------------
% 0.12/0.46 % (2683888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (2683888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (2683888)CaDiCaL version: 2.1.3
% 0.12/0.46 % (2683888)Termination reason: Refutation
% 0.12/0.46 % (2683888)Time elapsed: 0.015 s
% 0.12/0.46 % (2683888)Peak memory usage: 13 MB
% 0.12/0.46 % (2683888)Instructions burned: 19 (million)
% 0.12/0.46 % (2683879)Success in time 0.049 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------