%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:53:03 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 78 ( 17 unt; 7 def)
% Number of atoms : 234 ( 6 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 270 ( 114 ~; 111 |; 19 &)
% ( 11 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 70 ( 0 sgn 67 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,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/sandbox2/benchmark/theBenchmark.p',d13_yellow_0) ).
fof(f7,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( net_str(X2,X0)
=> ( subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_yellow_6) ).
fof(f15,axiom,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(f19,axiom,
! [X0,X1] :
( ( one_sorted_str(X0)
& net_str(X1,X0) )
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> net_str(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_6) ).
fof(f51,conjecture,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> subset(the_carrier(X2),the_carrier(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_yellow_6) ).
fof(f52,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> subset(the_carrier(X2),the_carrier(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f51]) ).
fof(f71,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,[],[f6]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( subnetstr(X2,X0,X1)
<=> ( subrelstr(X2,X1)
& the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) ) )
| ~ net_str(X2,X0) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f76,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f78]) ).
fof(f96,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ subset(the_carrier(X2),the_carrier(X1))
& subnetstr(X2,X0,X1) )
& net_str(X1,X0) )
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f106,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,[],[f71]) ).
fof(f107,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,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( subnetstr(X2,X0,X1)
| ~ subrelstr(X2,X1)
| the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
& ( ( subrelstr(X2,X1)
& the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
| ~ subnetstr(X2,X0,X1) ) )
| ~ net_str(X2,X0) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(nnf_transformation,[],[f72]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( subnetstr(X2,X0,X1)
| ~ subrelstr(X2,X1)
| the_mapping(X0,X2) != relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
& ( ( subrelstr(X2,X1)
& the_mapping(X0,X2) = relation_dom_restr_as_relation_of(the_carrier(X1),the_carrier(X0),the_mapping(X0,X1),the_carrier(X2)) )
| ~ subnetstr(X2,X0,X1) ) )
| ~ net_str(X2,X0) )
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f108]) ).
fof(f129,plain,
( ~ subset(the_carrier(sK20),the_carrier(sK19))
& subnetstr(sK20,sK18,sK19)
& net_str(sK19,sK18)
& one_sorted_str(sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20)],[f96]) ).
fof(f138,plain,
! [X0,X1] :
( subset(the_carrier(X1),the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f141,plain,
! [X2,X0,X1] :
( subrelstr(X2,X1)
| ~ subnetstr(X2,X0,X1)
| ~ net_str(X2,X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f146,plain,
! [X0,X1] :
( rel_str(X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f148,plain,
! [X2,X0,X1] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f199,plain,
one_sorted_str(sK18),
inference(cnf_transformation,[],[f129]) ).
fof(f200,plain,
net_str(sK19,sK18),
inference(cnf_transformation,[],[f129]) ).
fof(f201,plain,
subnetstr(sK20,sK18,sK19),
inference(cnf_transformation,[],[f129]) ).
fof(f202,plain,
~ subset(the_carrier(sK20),the_carrier(sK19)),
inference(cnf_transformation,[],[f129]) ).
fof(f218,plain,
! [X0,X1] :
( ~ subset(the_carrier(X1),the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X1)
| ~ rel_str(X0) ),
inference(consistent_polarity_flipping,[],[f138]) ).
fof(f221,plain,
! [X2,X0,X1] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1)
| subrelstr(X2,X1)
| net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(consistent_polarity_flipping,[],[f141]) ).
fof(f224,plain,
! [X0,X1] :
( rel_str(X1)
| net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(consistent_polarity_flipping,[],[f146]) ).
fof(f225,plain,
! [X2,X0,X1] :
( net_str(X1,X0)
| ~ subnetstr(X2,X0,X1)
| ~ one_sorted_str(X0)
| ~ net_str(X2,X0) ),
inference(consistent_polarity_flipping,[],[f148]) ).
fof(f259,plain,
subset(the_carrier(sK20),the_carrier(sK19)),
inference(consistent_polarity_flipping,[],[f202]) ).
fof(f260,plain,
~ net_str(sK19,sK18),
inference(consistent_polarity_flipping,[],[f200]) ).
fof(f504,definition,
( spl21_20
<=> one_sorted_str(sK18) ),
introduced(definition,[new_symbols(definition,[spl21_20])],[avatar_definition]) ).
fof(f506,plain,
( ~ one_sorted_str(sK18)
| spl21_20 ),
inference(avatar_component_clause,[],[f504]) ).
fof(f508,plain,
( $false
| spl21_20 ),
inference(resolution,[],[f506,f199]) ).
fof(f510,plain,
spl21_20,
inference(avatar_contradiction_clause,[],[f508]) ).
fof(f816,plain,
( ~ subrelstr(sK20,sK19)
| ~ rel_str(sK20)
| ~ rel_str(sK19) ),
inference(resolution,[],[f218,f259]) ).
fof(f818,definition,
( spl21_31
<=> rel_str(sK19) ),
introduced(definition,[new_symbols(definition,[spl21_31])],[avatar_definition]) ).
fof(f820,plain,
( ~ rel_str(sK19)
| spl21_31 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f822,definition,
( spl21_32
<=> rel_str(sK20) ),
introduced(definition,[new_symbols(definition,[spl21_32])],[avatar_definition]) ).
fof(f824,plain,
( ~ rel_str(sK20)
| spl21_32 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f826,definition,
( spl21_33
<=> subrelstr(sK20,sK19) ),
introduced(definition,[new_symbols(definition,[spl21_33])],[avatar_definition]) ).
fof(f829,plain,
( ~ spl21_31
| ~ spl21_32
| ~ spl21_33 ),
inference(avatar_split_clause,[],[f816,f826,f822,f818]) ).
fof(f830,plain,
( ! [X0] :
( net_str(sK19,X0)
| ~ one_sorted_str(X0) )
| spl21_31 ),
inference(resolution,[],[f820,f224]) ).
fof(f832,plain,
( ! [X0] :
( net_str(sK20,X0)
| ~ one_sorted_str(X0) )
| spl21_32 ),
inference(resolution,[],[f824,f224]) ).
fof(f834,plain,
( ~ one_sorted_str(sK18)
| spl21_31 ),
inference(resolution,[],[f830,f260]) ).
fof(f835,plain,
( ~ spl21_20
| spl21_31 ),
inference(avatar_split_clause,[],[f834,f818,f504]) ).
fof(f1002,plain,
! [X0] :
( ~ subnetstr(X0,sK18,sK19)
| ~ one_sorted_str(sK18)
| ~ net_str(X0,sK18) ),
inference(resolution,[],[f225,f260]) ).
fof(f1006,definition,
( spl21_44
<=> ! [X0] :
( ~ subnetstr(X0,sK18,sK19)
| ~ net_str(X0,sK18) ) ),
introduced(definition,[new_symbols(definition,[spl21_44])],[avatar_definition]) ).
fof(f1007,plain,
( ! [X0] :
( ~ subnetstr(X0,sK18,sK19)
| ~ net_str(X0,sK18) )
| ~ spl21_44 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1008,plain,
( ~ spl21_20
| spl21_44 ),
inference(avatar_split_clause,[],[f1002,f1006,f504]) ).
fof(f1009,plain,
( ~ net_str(sK20,sK18)
| ~ spl21_44 ),
inference(resolution,[],[f1007,f201]) ).
fof(f1012,definition,
( spl21_45
<=> net_str(sK19,sK18) ),
introduced(definition,[new_symbols(definition,[spl21_45])],[avatar_definition]) ).
fof(f1014,plain,
( net_str(sK19,sK18)
| ~ spl21_45 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1020,plain,
( ~ one_sorted_str(sK18)
| spl21_32
| ~ spl21_44 ),
inference(resolution,[],[f1009,f832]) ).
fof(f1032,plain,
( ~ spl21_20
| spl21_32
| ~ spl21_44 ),
inference(avatar_split_clause,[],[f1020,f1006,f822,f504]) ).
fof(f1045,plain,
( $false
| ~ spl21_45 ),
inference(resolution,[],[f1014,f260]) ).
fof(f1046,plain,
~ spl21_45,
inference(avatar_contradiction_clause,[],[f1045]) ).
fof(f1285,plain,
( ! [X0] :
( ~ subnetstr(sK20,sK18,X0)
| subrelstr(sK20,X0)
| net_str(X0,sK18)
| ~ one_sorted_str(sK18) )
| ~ spl21_44 ),
inference(resolution,[],[f221,f1009]) ).
fof(f1288,definition,
( spl21_89
<=> ! [X0] :
( ~ subnetstr(sK20,sK18,X0)
| net_str(X0,sK18)
| subrelstr(sK20,X0) ) ),
introduced(definition,[new_symbols(definition,[spl21_89])],[avatar_definition]) ).
fof(f1289,plain,
( ! [X0] :
( ~ subnetstr(sK20,sK18,X0)
| net_str(X0,sK18)
| subrelstr(sK20,X0) )
| ~ spl21_89 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1290,plain,
( ~ spl21_20
| spl21_89
| ~ spl21_44 ),
inference(avatar_split_clause,[],[f1285,f1006,f1288,f504]) ).
fof(f1347,plain,
( net_str(sK19,sK18)
| subrelstr(sK20,sK19)
| ~ spl21_89 ),
inference(resolution,[],[f1289,f201]) ).
fof(f1348,plain,
( spl21_33
| spl21_45
| ~ spl21_89 ),
inference(avatar_split_clause,[],[f1347,f1288,f1012,f826]) ).
cnf(s17,plain,
spl21_20,
inference(sat_conversion,[],[f510]) ).
cnf(s28,plain,
( ~ spl21_31
| ~ spl21_32
| ~ spl21_33 ),
inference(sat_conversion,[],[f829]) ).
cnf(s29,plain,
( ~ spl21_20
| spl21_31 ),
inference(sat_conversion,[],[f835]) ).
cnf(s40,plain,
( ~ spl21_20
| spl21_44 ),
inference(sat_conversion,[],[f1008]) ).
cnf(s44,plain,
( ~ spl21_20
| spl21_32
| ~ spl21_44 ),
inference(sat_conversion,[],[f1032]) ).
cnf(s47,plain,
~ spl21_45,
inference(sat_conversion,[],[f1046]) ).
cnf(s86,plain,
( ~ spl21_20
| ~ spl21_44
| spl21_89 ),
inference(sat_conversion,[],[f1290]) ).
cnf(s101,plain,
( spl21_33
| spl21_45
| ~ spl21_89 ),
inference(sat_conversion,[],[f1348]) ).
cnf(s114,plain,
spl21_44,
inference(rat,[],[s40,s17]) ).
cnf(s115,plain,
spl21_31,
inference(rat,[],[s29,s17]) ).
cnf(s116,plain,
spl21_89,
inference(rat,[],[s86,s17,s114]) ).
cnf(s121,plain,
spl21_32,
inference(rat,[],[s44,s17,s114]) ).
cnf(s122,plain,
spl21_33,
inference(rat,[],[s101,s47,s116]) ).
cnf(s127,plain,
$false,
inference(rat,[],[s28,s115,s122,s121]) ).
fof(f1349,plain,
$false,
inference(avatar_sat_refutation,[],[s127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n002.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 05:01:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.45 % (4158900)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (4158911)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=754444254:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (4158906)% WARNING: option uhcvi not known.
% 0.10/0.45 % (4158905)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1102823821_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (4158909)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2996785279:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (4158907)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2152735353:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (4158908)dis+10_1_sil=32000:sp=arity:random_seed=2036392534:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (4158910)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=920138548:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (4158906)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1161512439:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (4158908) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4158900-4158908"...
% 0.10/0.45 % (4158911) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4158900-4158911"...
% 0.10/0.45 % (4158911)...printing done.
% 0.10/0.45 % (4158908)...printing done.
% 0.10/0.45 % (4158906) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4158900-4158906"...
% 0.10/0.45 % (4158911)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (4158911)------------------------------
% 0.10/0.45 % (4158911)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (4158911)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (4158911)CaDiCaL version: 2.1.3
% 0.10/0.45 % (4158911)Termination reason: Refutation
% 0.10/0.45 % (4158911)Time elapsed: 0.015 s
% 0.10/0.45 % (4158911)Peak memory usage: 13 MB
% 0.10/0.45 % (4158911)Instructions burned: 37 (million)
% 0.10/0.45 % (4158900)Success in time 0.042 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------