%------------------------------------------------------------------------------
% File : Vampire---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 THM
% 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 12:48:35 PM UTC 2026
% Result : Theorem 2.22s 1.17s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 72 ( 16 unt; 7 def)
% Number of atoms : 214 ( 6 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 243 ( 101 ~; 95 |; 19 &)
% ( 11 <=>; 17 =>; 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 : 59 ( 0 sgn 56 !; 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(f18,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( subrelstr(X1,X0)
=> rel_str(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_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(f77,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ subrelstr(X1,X0) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f18]) ).
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] :
( ~ subrelstr(X1,X0)
| subset(the_carrier(X1),the_carrier(X0))
| ~ rel_str(X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X0,X1)
| subrelstr(X2,X1)
| ~ net_str(X2,X0)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f146,plain,
! [X0,X1] :
( ~ one_sorted_str(X0)
| ~ net_str(X1,X0)
| rel_str(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f147,plain,
! [X0,X1] :
( ~ subrelstr(X1,X0)
| rel_str(X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0)
| ~ 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(f224,plain,
! [X0] :
( rel_str(X0)
| ~ net_str(X0,sK18) ),
inference(resolution,[],[f146,f199]) ).
fof(f269,plain,
( net_str(sK20,sK18)
| ~ one_sorted_str(sK18)
| ~ net_str(sK19,sK18) ),
inference(resolution,[],[f148,f201]) ).
fof(f273,definition,
( spl22_1
<=> net_str(sK19,sK18) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f274,plain,
( ~ net_str(sK19,sK18)
| spl22_1 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f276,definition,
( spl22_2
<=> one_sorted_str(sK18) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f277,plain,
( ~ one_sorted_str(sK18)
| spl22_2 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,definition,
( spl22_3
<=> net_str(sK20,sK18) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f281,plain,
( ~ spl22_1
| ~ spl22_2
| spl22_3 ),
inference(avatar_split_clause,[],[f269,f279,f276,f273]) ).
fof(f283,plain,
( $false
| spl22_1 ),
inference(resolution,[],[f274,f200]) ).
fof(f284,plain,
spl22_1,
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f285,plain,
( $false
| spl22_2 ),
inference(resolution,[],[f277,f199]) ).
fof(f287,plain,
spl22_2,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f289,plain,
( subrelstr(sK20,sK19)
| ~ net_str(sK20,sK18)
| ~ net_str(sK19,sK18)
| ~ one_sorted_str(sK18) ),
inference(resolution,[],[f141,f201]) ).
fof(f294,definition,
( spl22_4
<=> subrelstr(sK20,sK19) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f295,plain,
( subrelstr(sK20,sK19)
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f296,plain,
( ~ spl22_2
| ~ spl22_1
| ~ spl22_3
| spl22_4 ),
inference(avatar_split_clause,[],[f289,f294,f279,f273,f276]) ).
fof(f297,plain,
( subset(the_carrier(sK20),the_carrier(sK19))
| ~ rel_str(sK20)
| ~ rel_str(sK19)
| ~ spl22_4 ),
inference(resolution,[],[f295,f138]) ).
fof(f299,plain,
( rel_str(sK20)
| ~ rel_str(sK19)
| ~ spl22_4 ),
inference(resolution,[],[f295,f147]) ).
fof(f301,definition,
( spl22_5
<=> rel_str(sK19) ),
introduced(definition,[new_symbols(definition,[spl22_5])],[avatar_definition]) ).
fof(f302,plain,
( ~ rel_str(sK19)
| spl22_5 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f304,definition,
( spl22_6
<=> rel_str(sK20) ),
introduced(definition,[new_symbols(definition,[spl22_6])],[avatar_definition]) ).
fof(f306,plain,
( ~ spl22_5
| spl22_6
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f299,f294,f304,f301]) ).
fof(f313,definition,
( spl22_8
<=> subset(the_carrier(sK20),the_carrier(sK19)) ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f314,plain,
( subset(the_carrier(sK20),the_carrier(sK19))
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f315,plain,
( ~ spl22_5
| ~ spl22_6
| spl22_8
| ~ spl22_4 ),
inference(avatar_split_clause,[],[f297,f294,f313,f304,f301]) ).
fof(f318,plain,
( ~ net_str(sK19,sK18)
| spl22_5 ),
inference(resolution,[],[f302,f224]) ).
fof(f319,plain,
( ~ spl22_1
| spl22_5 ),
inference(avatar_split_clause,[],[f318,f301,f273]) ).
fof(f323,plain,
( $false
| ~ spl22_8 ),
inference(resolution,[],[f314,f202]) ).
fof(f325,plain,
~ spl22_8,
inference(avatar_contradiction_clause,[],[f323]) ).
cnf(s1,plain,
( ~ spl22_1
| ~ spl22_2
| spl22_3 ),
inference(sat_conversion,[],[f281]) ).
cnf(s2,plain,
spl22_1,
inference(sat_conversion,[],[f284]) ).
cnf(s3,plain,
spl22_2,
inference(sat_conversion,[],[f287]) ).
cnf(s4,plain,
( ~ spl22_1
| ~ spl22_2
| ~ spl22_3
| spl22_4 ),
inference(sat_conversion,[],[f296]) ).
cnf(s5,plain,
( ~ spl22_4
| ~ spl22_5
| spl22_6 ),
inference(sat_conversion,[],[f306]) ).
cnf(s7,plain,
( ~ spl22_4
| ~ spl22_5
| ~ spl22_6
| spl22_8 ),
inference(sat_conversion,[],[f315]) ).
cnf(s8,plain,
( ~ spl22_1
| spl22_5 ),
inference(sat_conversion,[],[f319]) ).
cnf(s9,plain,
~ spl22_8,
inference(sat_conversion,[],[f325]) ).
cnf(s10,plain,
( ~ spl22_4
| ~ spl22_5
| ~ spl22_6 ),
inference(rat,[],[s7,s9]) ).
cnf(s11,plain,
spl22_5,
inference(rat,[],[s8,s2]) ).
cnf(s12,plain,
spl22_3,
inference(rat,[],[s1,s3,s2]) ).
cnf(s13,plain,
spl22_4,
inference(rat,[],[s4,s2,s3,s12]) ).
cnf(s14,plain,
~ spl22_6,
inference(rat,[],[s10,s11,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s5,s11,s14,s13]) ).
fof(f326,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU373+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n018.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 05:01:09 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 2.22/1.17 % (2998951)Detected formulas, will run a generic FOF schedule.
% 2.22/1.17 % (2998962)dis-21_1_sil=8000:lcm=predicate:random_seed=1534642914: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)
% 2.22/1.17 % (2998962)First to succeed.
% 2.22/1.17 % (2998962)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2998951"
% 2.22/1.17 % (2998956)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=131841111:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.22/1.17 % (2998958)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=2642873589:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.22/1.17 % (2998960)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=113795192:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.22/1.17 % (2998961)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=621005450:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.22/1.17 % (2998959)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=843597278:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.22/1.17 % (2998957)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=2585120423:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.22/1.17 % (2998959)Refutation not found, incomplete strategy
% 2.22/1.17 % (2998959)------------------------------
% 2.22/1.17 % (2998959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/1.17 % (2998959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/1.17 % (2998959)CaDiCaL version: 2.1.3
% 2.22/1.17 % (2998959)Termination reason: Refutation not found, incomplete strategy
% 2.22/1.17 % (2998959)Time elapsed: 0.001 s
% 2.22/1.17 % (2998959)Peak memory usage: 88 MB
% 2.22/1.17 % (2998960)Refutation not found, incomplete strategy
% 2.22/1.17 % (2998960)------------------------------
% 2.22/1.17 % (2998960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/1.17 % (2998960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/1.17 % (2998960)CaDiCaL version: 2.1.3
% 2.22/1.17 % (2998960)Termination reason: Refutation not found, incomplete strategy
% 2.22/1.17 % (2998960)Time elapsed: 0.002 s
% 2.22/1.17 % (2998960)Peak memory usage: 88 MB
% 2.22/1.17 % (2998960)Instructions burned: 1 (million)
% 2.22/1.17 % (2998961)Also succeeded, but the first one will report.
% 2.22/1.17 % (2998962)Refutation found. Thanks to Tanya!
% 2.22/1.17 % SZS status Theorem for theBenchmark
% 2.22/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.37 % (2998962)------------------------------
% 2.71/1.37 % (2998962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.37 % (2998962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.37 % (2998962)CaDiCaL version: 2.1.3
% 2.71/1.37 % (2998962)Termination reason: Refutation
% 2.71/1.37 % (2998962)Time elapsed: 0.003 s
% 2.71/1.37 % (2998962)Peak memory usage: 89 MB
% 2.71/1.37 % (2998962)Instructions burned: 6 (million)
% 2.71/1.37 % (2998962)------------------------------
% 2.71/1.37 % (2998962)------------------------------
% 2.71/1.37 % (2998951)Success in time 0.301 s
% 2.71/1.37 % Vampire exiting
%------------------------------------------------------------------------------