%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU362+1 : 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 : 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 12:48:32 PM UTC 2026
% Result : Theorem 1.84s 1.30s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 19
% Syntax : Number of formulae : 117 ( 31 unt; 11 def)
% Number of atoms : 326 ( 12 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 343 ( 134 ~; 128 |; 42 &)
% ( 16 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 12 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 80 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( rel_str(X1)
=> ( subrelstr(X1,X0)
<=> ( subset(the_carrier(X1),the_carrier(X0))
& subset(the_InternalRel(X1),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d13_yellow_0) ).
fof(f6,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f15,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(f35,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f36,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f37,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f38,axiom,
! [X0,X1,X2] :
~ ( in(X0,X1)
& element(X1,powerset(X2))
& empty(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f39,conjecture,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( X4 = X2
& X5 = X3
& related(X1,X4,X5) )
=> related(X0,X2,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_yellow_0) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X1))
=> ( ( X4 = X2
& X5 = X3
& related(X1,X4,X5) )
=> related(X0,X2,X3) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f51,plain,
! [X0] :
( ! [X1] :
( ( subrelstr(X1,X0)
<=> ( subset(the_carrier(X1),the_carrier(X0))
& subset(the_InternalRel(X1),the_InternalRel(X0)) ) )
| ~ rel_str(X1) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f52,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( related(X0,X1,X2)
<=> in(ordered_pair(X1,X2),the_InternalRel(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f53,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f62,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f63,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f65,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(ennf_transformation,[],[f38]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(X0,X2,X3)
& X4 = X2
& X5 = X3
& related(X1,X4,X5)
& element(X5,the_carrier(X1)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& subrelstr(X1,X0) )
& rel_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f68,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ related(X0,X2,X3)
& X4 = X2
& X5 = X3
& related(X1,X4,X5)
& element(X5,the_carrier(X1)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
& subrelstr(X1,X0) )
& rel_str(X0) ),
inference(flattening,[],[f67]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( ( subrelstr(X1,X0)
| ~ subset(the_carrier(X1),the_carrier(X0))
| ~ subset(the_InternalRel(X1),the_InternalRel(X0)) )
& ( ( subset(the_carrier(X1),the_carrier(X0))
& subset(the_InternalRel(X1),the_InternalRel(X0)) )
| ~ subrelstr(X1,X0) ) )
| ~ rel_str(X1) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f51]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( ( subrelstr(X1,X0)
| ~ subset(the_carrier(X1),the_carrier(X0))
| ~ subset(the_InternalRel(X1),the_InternalRel(X0)) )
& ( ( subset(the_carrier(X1),the_carrier(X0))
& subset(the_InternalRel(X1),the_InternalRel(X0)) )
| ~ subrelstr(X1,X0) ) )
| ~ rel_str(X1) )
| ~ rel_str(X0) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0)) )
& ( in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ related(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f52]) ).
fof(f86,plain,
! [X0,X1] :
( ( element(X0,powerset(X1))
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ element(X0,powerset(X1)) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f87,plain,
( ~ related(sK10,sK12,sK13)
& sK12 = sK14
& sK13 = sK15
& related(sK11,sK14,sK15)
& element(sK15,the_carrier(sK11))
& element(sK14,the_carrier(sK11))
& element(sK13,the_carrier(sK10))
& element(sK12,the_carrier(sK10))
& subrelstr(sK11,sK10)
& rel_str(sK10) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14,sK15]),skolemize(X0,sK10),skolemize(X1,sK11),skolemize(X2,sK12),skolemize(X3,sK13),skolemize(X4,sK14),skolemize(X5,sK15)],[f68]) ).
fof(f91,plain,
! [X0,X1] :
( ~ subrelstr(X1,X0)
| subset(the_InternalRel(X1),the_InternalRel(X0))
| ~ rel_str(X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f94,plain,
! [X2,X0,X1] :
( ~ related(X0,X1,X2)
| in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f95,plain,
! [X2,X0,X1] :
( related(X0,X1,X2)
| ~ in(ordered_pair(X1,X2),the_InternalRel(X0))
| ~ element(X2,the_carrier(X0))
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f96,plain,
! [X0,X1] :
( ~ subrelstr(X1,X0)
| rel_str(X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f120,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f122,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| element(X0,powerset(X1)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| element(X0,X2)
| ~ element(X1,powerset(X2)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| ~ empty(X2) ),
inference(cnf_transformation,[],[f66]) ).
fof(f125,plain,
rel_str(sK10),
inference(cnf_transformation,[],[f87]) ).
fof(f126,plain,
subrelstr(sK11,sK10),
inference(cnf_transformation,[],[f87]) ).
fof(f127,plain,
element(sK12,the_carrier(sK10)),
inference(cnf_transformation,[],[f87]) ).
fof(f128,plain,
element(sK13,the_carrier(sK10)),
inference(cnf_transformation,[],[f87]) ).
fof(f129,plain,
element(sK14,the_carrier(sK11)),
inference(cnf_transformation,[],[f87]) ).
fof(f130,plain,
element(sK15,the_carrier(sK11)),
inference(cnf_transformation,[],[f87]) ).
fof(f131,plain,
related(sK11,sK14,sK15),
inference(cnf_transformation,[],[f87]) ).
fof(f132,plain,
sK13 = sK15,
inference(cnf_transformation,[],[f87]) ).
fof(f133,plain,
sK12 = sK14,
inference(cnf_transformation,[],[f87]) ).
fof(f134,plain,
~ related(sK10,sK12,sK13),
inference(cnf_transformation,[],[f87]) ).
fof(f138,plain,
~ related(sK10,sK14,sK15),
inference(definition_unfolding,[],[f134,f133,f132]) ).
fof(f139,plain,
element(sK15,the_carrier(sK10)),
inference(definition_unfolding,[],[f128,f132]) ).
fof(f140,plain,
element(sK14,the_carrier(sK10)),
inference(definition_unfolding,[],[f127,f133]) ).
fof(f147,plain,
( rel_str(sK11)
| ~ rel_str(sK10) ),
inference(resolution,[],[f96,f126]) ).
fof(f151,definition,
( spl17_1
<=> rel_str(sK10) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f152,plain,
( ~ rel_str(sK10)
| spl17_1 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,definition,
( spl17_2
<=> rel_str(sK11) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f156,plain,
( ~ spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f147,f154,f151]) ).
fof(f157,plain,
( $false
| spl17_1 ),
inference(resolution,[],[f152,f125]) ).
fof(f158,plain,
spl17_1,
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f189,plain,
( subset(the_InternalRel(sK11),the_InternalRel(sK10))
| ~ rel_str(sK11)
| ~ rel_str(sK10) ),
inference(resolution,[],[f91,f126]) ).
fof(f194,definition,
( spl17_3
<=> subset(the_InternalRel(sK11),the_InternalRel(sK10)) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f195,plain,
( subset(the_InternalRel(sK11),the_InternalRel(sK10))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f196,plain,
( ~ spl17_1
| ~ spl17_2
| spl17_3 ),
inference(avatar_split_clause,[],[f189,f194,f154,f151]) ).
fof(f197,plain,
( element(the_InternalRel(sK11),powerset(the_InternalRel(sK10)))
| ~ spl17_3 ),
inference(resolution,[],[f195,f122]) ).
fof(f216,plain,
( in(ordered_pair(sK14,sK15),the_InternalRel(sK11))
| ~ element(sK15,the_carrier(sK11))
| ~ element(sK14,the_carrier(sK11))
| ~ rel_str(sK11) ),
inference(resolution,[],[f94,f131]) ).
fof(f218,definition,
( spl17_5
<=> element(sK14,the_carrier(sK11)) ),
introduced(definition,[new_symbols(definition,[spl17_5])],[avatar_definition]) ).
fof(f219,plain,
( ~ element(sK14,the_carrier(sK11))
| spl17_5 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f221,definition,
( spl17_6
<=> element(sK15,the_carrier(sK11)) ),
introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition]) ).
fof(f222,plain,
( ~ element(sK15,the_carrier(sK11))
| spl17_6 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f224,definition,
( spl17_7
<=> in(ordered_pair(sK14,sK15),the_InternalRel(sK11)) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f225,plain,
( in(ordered_pair(sK14,sK15),the_InternalRel(sK11))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f226,plain,
( ~ spl17_2
| ~ spl17_5
| ~ spl17_6
| spl17_7 ),
inference(avatar_split_clause,[],[f216,f224,f221,f218,f154]) ).
fof(f227,plain,
( $false
| spl17_5 ),
inference(resolution,[],[f219,f129]) ).
fof(f228,plain,
spl17_5,
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f229,plain,
( $false
| spl17_6 ),
inference(resolution,[],[f222,f130]) ).
fof(f230,plain,
spl17_6,
inference(avatar_contradiction_clause,[],[f229]) ).
fof(f231,plain,
( ! [X0] :
( element(ordered_pair(sK14,sK15),X0)
| ~ element(the_InternalRel(sK11),powerset(X0)) )
| ~ spl17_7 ),
inference(resolution,[],[f225,f123]) ).
fof(f232,plain,
( ! [X0] :
( ~ empty(X0)
| ~ element(the_InternalRel(sK11),powerset(X0)) )
| ~ spl17_7 ),
inference(resolution,[],[f225,f124]) ).
fof(f261,plain,
( ~ in(ordered_pair(sK14,sK15),the_InternalRel(sK10))
| ~ element(sK15,the_carrier(sK10))
| ~ element(sK14,the_carrier(sK10))
| ~ rel_str(sK10) ),
inference(resolution,[],[f95,f138]) ).
fof(f265,definition,
( spl17_10
<=> element(sK14,the_carrier(sK10)) ),
introduced(definition,[new_symbols(definition,[spl17_10])],[avatar_definition]) ).
fof(f266,plain,
( ~ element(sK14,the_carrier(sK10))
| spl17_10 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f268,definition,
( spl17_11
<=> element(sK15,the_carrier(sK10)) ),
introduced(definition,[new_symbols(definition,[spl17_11])],[avatar_definition]) ).
fof(f269,plain,
( ~ element(sK15,the_carrier(sK10))
| spl17_11 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f271,definition,
( spl17_12
<=> in(ordered_pair(sK14,sK15),the_InternalRel(sK10)) ),
introduced(definition,[new_symbols(definition,[spl17_12])],[avatar_definition]) ).
fof(f272,plain,
( ~ in(ordered_pair(sK14,sK15),the_InternalRel(sK10))
| spl17_12 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f273,plain,
( ~ spl17_1
| ~ spl17_10
| ~ spl17_11
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f261,f271,f268,f265,f151]) ).
fof(f274,plain,
( $false
| spl17_10 ),
inference(resolution,[],[f266,f140]) ).
fof(f275,plain,
spl17_10,
inference(avatar_contradiction_clause,[],[f274]) ).
fof(f276,plain,
( $false
| spl17_11 ),
inference(resolution,[],[f269,f139]) ).
fof(f277,plain,
spl17_11,
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f278,plain,
( empty(the_InternalRel(sK10))
| ~ element(ordered_pair(sK14,sK15),the_InternalRel(sK10))
| spl17_12 ),
inference(resolution,[],[f272,f120]) ).
fof(f280,definition,
( spl17_13
<=> element(ordered_pair(sK14,sK15),the_InternalRel(sK10)) ),
introduced(definition,[new_symbols(definition,[spl17_13])],[avatar_definition]) ).
fof(f281,plain,
( ~ element(ordered_pair(sK14,sK15),the_InternalRel(sK10))
| spl17_13 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f283,definition,
( spl17_14
<=> empty(the_InternalRel(sK10)) ),
introduced(definition,[new_symbols(definition,[spl17_14])],[avatar_definition]) ).
fof(f284,plain,
( empty(the_InternalRel(sK10))
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f285,plain,
( ~ spl17_13
| spl17_14
| spl17_12 ),
inference(avatar_split_clause,[],[f278,f271,f283,f280]) ).
fof(f286,plain,
( ~ element(the_InternalRel(sK11),powerset(the_InternalRel(sK10)))
| ~ spl17_7
| spl17_13 ),
inference(resolution,[],[f281,f231]) ).
fof(f287,plain,
( $false
| ~ spl17_3
| ~ spl17_7
| spl17_13 ),
inference(resolution,[],[f286,f197]) ).
fof(f288,plain,
( ~ spl17_3
| ~ spl17_7
| spl17_13 ),
inference(avatar_contradiction_clause,[],[f287]) ).
fof(f289,plain,
( ~ element(the_InternalRel(sK11),powerset(the_InternalRel(sK10)))
| ~ spl17_7
| ~ spl17_14 ),
inference(resolution,[],[f284,f232]) ).
fof(f290,plain,
( $false
| ~ spl17_3
| ~ spl17_7
| ~ spl17_14 ),
inference(resolution,[],[f289,f197]) ).
fof(f291,plain,
( ~ spl17_3
| ~ spl17_7
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f290]) ).
cnf(s1,plain,
( ~ spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f156]) ).
cnf(s2,plain,
spl17_1,
inference(sat_conversion,[],[f158]) ).
cnf(s3,plain,
( ~ spl17_1
| ~ spl17_2
| spl17_3 ),
inference(sat_conversion,[],[f196]) ).
cnf(s5,plain,
( ~ spl17_2
| ~ spl17_5
| ~ spl17_6
| spl17_7 ),
inference(sat_conversion,[],[f226]) ).
cnf(s6,plain,
spl17_5,
inference(sat_conversion,[],[f228]) ).
cnf(s7,plain,
spl17_6,
inference(sat_conversion,[],[f230]) ).
cnf(s9,plain,
( ~ spl17_1
| ~ spl17_10
| ~ spl17_11
| ~ spl17_12 ),
inference(sat_conversion,[],[f273]) ).
cnf(s10,plain,
spl17_10,
inference(sat_conversion,[],[f275]) ).
cnf(s11,plain,
spl17_11,
inference(sat_conversion,[],[f277]) ).
cnf(s12,plain,
( spl17_12
| ~ spl17_13
| spl17_14 ),
inference(sat_conversion,[],[f285]) ).
cnf(s13,plain,
( ~ spl17_3
| ~ spl17_7
| spl17_13 ),
inference(sat_conversion,[],[f288]) ).
cnf(s14,plain,
( ~ spl17_3
| ~ spl17_7
| ~ spl17_14 ),
inference(sat_conversion,[],[f291]) ).
cnf(s15,plain,
( ~ spl17_1
| ~ spl17_12 ),
inference(rat,[],[s9,s11,s10]) ).
cnf(s16,plain,
( ~ spl17_2
| spl17_7 ),
inference(rat,[],[s5,s7,s6]) ).
cnf(s17,plain,
~ spl17_12,
inference(rat,[],[s15,s2]) ).
cnf(s18,plain,
spl17_2,
inference(rat,[],[s1,s2]) ).
cnf(s19,plain,
spl17_7,
inference(rat,[],[s16,s18]) ).
cnf(s21,plain,
spl17_3,
inference(rat,[],[s3,s2,s18]) ).
cnf(s22,plain,
~ spl17_14,
inference(rat,[],[s14,s19,s21]) ).
cnf(s23,plain,
spl17_13,
inference(rat,[],[s13,s19,s21]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s12,s17,s22,s23]) ).
fof(f292,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU362+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 04:55:24 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
% 1.84/1.30 % (1886438)Detected formulas, will run a generic FOF schedule.
% 1.84/1.30 % (1886443)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=1613661142:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.84/1.30 % (1886444)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=3841011173:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.84/1.30 % (1886445)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=4013156499:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.84/1.30 % (1886447)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1099327239:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.84/1.30 % (1886448)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2828076033:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.84/1.30 % (1886449)dis-21_1_sil=8000:lcm=predicate:random_seed=3415288781: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)
% 1.84/1.30 % (1886447)Refutation not found, incomplete strategy
% 1.84/1.30 % (1886447)------------------------------
% 1.84/1.30 % (1886447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.84/1.30 % (1886447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/1.30 % (1886447)CaDiCaL version: 2.1.3
% 1.84/1.30 % (1886447)Termination reason: Refutation not found, incomplete strategy
% 1.84/1.30 % (1886447)Time elapsed: 0.002 s
% 1.84/1.30 % (1886447)Peak memory usage: 88 MB
% 1.84/1.30 % (1886447)Instructions burned: 1 (million)
% 1.84/1.30 % (1886449)First to succeed.
% 1.84/1.30 % (1886449)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1886438"
% 1.84/1.30 % (1886448)Also succeeded, but the first one will report.
% 1.84/1.30 % (1886446)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1235089368:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.84/1.30 % (1886446)Refutation not found, incomplete strategy
% 1.84/1.30 % (1886446)------------------------------
% 1.84/1.30 % (1886446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.84/1.30 % (1886446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.84/1.30 % (1886446)CaDiCaL version: 2.1.3
% 1.84/1.30 % (1886446)Termination reason: Refutation not found, incomplete strategy
% 1.84/1.30 % (1886446)Time elapsed: 0.001 s
% 1.84/1.30 % (1886446)Peak memory usage: 88 MB
% 1.84/1.30 % (1886447)------------------------------
% 1.84/1.30 % (1886447)------------------------------
% 1.84/1.30 % (1886449)Refutation found. Thanks to Tanya!
% 1.84/1.30 % SZS status Theorem for theBenchmark
% 1.84/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.50 % (1886449)------------------------------
% 0.18/1.50 % (1886449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.50 % (1886449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.50 % (1886449)CaDiCaL version: 2.1.3
% 0.18/1.50 % (1886449)Termination reason: Refutation
% 0.18/1.50 % (1886449)Time elapsed: 0.006 s
% 0.18/1.50 % (1886449)Peak memory usage: 89 MB
% 0.18/1.50 % (1886449)Instructions burned: 7 (million)
% 0.18/1.50 % (1886449)------------------------------
% 0.18/1.50 % (1886449)------------------------------
% 0.18/1.50 % (1886438)Success in time 0.441 s
% 0.18/1.50 % Vampire exiting
%------------------------------------------------------------------------------