%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU374+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 : n026.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 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 51 ( 18 unt; 0 def)
% Number of atoms : 228 ( 27 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 288 ( 111 ~; 102 |; 43 &)
% ( 2 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-4 aty)
% Number of variables : 100 ( 86 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,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(f14,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,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(f50,conjecture,
! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X3 = X5
& X4 = X6
& related(X2,X5,X6) )
=> related(X1,X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_yellow_6) ).
fof(f51,negated_conjecture,
~ ! [X0] :
( one_sorted_str(X0)
=> ! [X1] :
( net_str(X1,X0)
=> ! [X2] :
( subnetstr(X2,X0,X1)
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ! [X5] :
( element(X5,the_carrier(X2))
=> ! [X6] :
( element(X6,the_carrier(X2))
=> ( ( X3 = X5
& X4 = X6
& related(X2,X5,X6) )
=> related(X1,X3,X4) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
fof(f56,axiom,
! [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/sandbox2/benchmark/theBenchmark.p',t60_yellow_0) ).
fof(f71,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,[],[f6]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( rel_str(X1)
| ~ net_str(X1,X0) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f77,plain,
! [X0,X1] :
( ! [X2] :
( net_str(X2,X0)
| ~ subnetstr(X2,X0,X1) )
| ~ one_sorted_str(X0)
| ~ net_str(X1,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(flattening,[],[f77]) ).
fof(f95,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X1,X3,X4)
& X3 = X5
& X4 = X6
& related(X2,X5,X6)
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,X0,X1) )
& net_str(X1,X0) )
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f96,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ~ related(X1,X3,X4)
& X3 = X5
& X4 = X6
& related(X2,X5,X6)
& element(X6,the_carrier(X2)) )
& element(X5,the_carrier(X2)) )
& element(X4,the_carrier(X1)) )
& element(X3,the_carrier(X1)) )
& subnetstr(X2,X0,X1) )
& net_str(X1,X0) )
& one_sorted_str(X0) ),
inference(flattening,[],[f95]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( related(X0,X2,X3)
| X2 != X4
| X3 != X5
| ~ 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,[],[f56]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( related(X0,X2,X3)
| X2 != X4
| X3 != X5
| ~ 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,[],[f103]) ).
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,[],[f71]) ).
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,
( ~ related(sK19,sK21,sK22)
& sK21 = sK23
& sK22 = sK24
& related(sK20,sK23,sK24)
& element(sK24,the_carrier(sK20))
& element(sK23,the_carrier(sK20))
& element(sK22,the_carrier(sK19))
& element(sK21,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,sK21,sK22,sK23,sK24]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20),skolemize(X3,sK21),skolemize(X4,sK22),skolemize(X5,sK23),skolemize(X6,sK24)],[f96]) ).
fof(f137,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(f142,plain,
! [X0,X1] :
( ~ net_str(X1,X0)
| rel_str(X1)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X0,X1)
| net_str(X2,X0)
| ~ one_sorted_str(X0)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f195,plain,
one_sorted_str(sK18),
inference(cnf_transformation,[],[f129]) ).
fof(f196,plain,
net_str(sK19,sK18),
inference(cnf_transformation,[],[f129]) ).
fof(f197,plain,
subnetstr(sK20,sK18,sK19),
inference(cnf_transformation,[],[f129]) ).
fof(f198,plain,
element(sK21,the_carrier(sK19)),
inference(cnf_transformation,[],[f129]) ).
fof(f199,plain,
element(sK22,the_carrier(sK19)),
inference(cnf_transformation,[],[f129]) ).
fof(f200,plain,
element(sK23,the_carrier(sK20)),
inference(cnf_transformation,[],[f129]) ).
fof(f201,plain,
element(sK24,the_carrier(sK20)),
inference(cnf_transformation,[],[f129]) ).
fof(f202,plain,
related(sK20,sK23,sK24),
inference(cnf_transformation,[],[f129]) ).
fof(f203,plain,
sK22 = sK24,
inference(cnf_transformation,[],[f129]) ).
fof(f204,plain,
sK21 = sK23,
inference(cnf_transformation,[],[f129]) ).
fof(f205,plain,
~ related(sK19,sK21,sK22),
inference(cnf_transformation,[],[f129]) ).
fof(f210,plain,
! [X2,X3,X0,X1,X4,X5] :
( related(X0,X2,X3)
| X2 != X4
| X3 != X5
| ~ 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(cnf_transformation,[],[f104]) ).
fof(f214,plain,
~ related(sK19,sK23,sK24),
inference(definition_unfolding,[],[f205,f204,f203]) ).
fof(f215,plain,
element(sK24,the_carrier(sK19)),
inference(definition_unfolding,[],[f199,f203]) ).
fof(f216,plain,
element(sK23,the_carrier(sK19)),
inference(definition_unfolding,[],[f198,f204]) ).
fof(f217,plain,
! [X3,X0,X1,X4,X5] :
( related(X0,X4,X3)
| X3 != X5
| ~ related(X1,X4,X5)
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X3,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f210]) ).
fof(f218,plain,
! [X0,X1,X4,X5] :
( ~ related(X1,X4,X5)
| related(X0,X4,X5)
| ~ element(X5,the_carrier(X1))
| ~ element(X4,the_carrier(X1))
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ subrelstr(X1,X0)
| ~ rel_str(X0) ),
inference(equality_resolution,[],[f217]) ).
fof(f242,plain,
( rel_str(sK19)
| ~ one_sorted_str(sK18) ),
inference(resolution,[],[f142,f196]) ).
fof(f245,plain,
rel_str(sK19),
inference(forward_subsumption_resolution,[],[f242,f195]) ).
fof(f373,plain,
! [X2,X0,X1] :
( ~ subnetstr(X2,X0,X1)
| subrelstr(X2,X1)
| ~ net_str(X1,X0)
| ~ one_sorted_str(X0) ),
inference(forward_subsumption_resolution,[],[f137,f144]) ).
fof(f374,plain,
( subrelstr(sK20,sK19)
| ~ net_str(sK19,sK18)
| ~ one_sorted_str(sK18) ),
inference(resolution,[],[f373,f197]) ).
fof(f377,plain,
( subrelstr(sK20,sK19)
| ~ one_sorted_str(sK18) ),
inference(forward_subsumption_resolution,[],[f374,f196]) ).
fof(f378,plain,
subrelstr(sK20,sK19),
inference(forward_subsumption_resolution,[],[f377,f195]) ).
fof(f392,plain,
! [X0] :
( related(X0,sK23,sK24)
| ~ element(sK24,the_carrier(sK20))
| ~ element(sK23,the_carrier(sK20))
| ~ element(sK24,the_carrier(X0))
| ~ element(sK23,the_carrier(X0))
| ~ subrelstr(sK20,X0)
| ~ rel_str(X0) ),
inference(resolution,[],[f218,f202]) ).
fof(f393,plain,
! [X0] :
( related(X0,sK23,sK24)
| ~ element(sK23,the_carrier(sK20))
| ~ element(sK24,the_carrier(X0))
| ~ element(sK23,the_carrier(X0))
| ~ subrelstr(sK20,X0)
| ~ rel_str(X0) ),
inference(forward_subsumption_resolution,[],[f392,f201]) ).
fof(f394,plain,
! [X0] :
( ~ element(sK24,the_carrier(X0))
| related(X0,sK23,sK24)
| ~ element(sK23,the_carrier(X0))
| ~ subrelstr(sK20,X0)
| ~ rel_str(X0) ),
inference(forward_subsumption_resolution,[],[f393,f200]) ).
fof(f408,plain,
( related(sK19,sK23,sK24)
| ~ element(sK23,the_carrier(sK19))
| ~ subrelstr(sK20,sK19)
| ~ rel_str(sK19) ),
inference(resolution,[],[f394,f215]) ).
fof(f409,plain,
( ~ element(sK23,the_carrier(sK19))
| ~ subrelstr(sK20,sK19)
| ~ rel_str(sK19) ),
inference(forward_subsumption_resolution,[],[f408,f214]) ).
fof(f410,plain,
( ~ subrelstr(sK20,sK19)
| ~ rel_str(sK19) ),
inference(forward_subsumption_resolution,[],[f409,f216]) ).
fof(f411,plain,
~ rel_str(sK19),
inference(forward_subsumption_resolution,[],[f410,f378]) ).
fof(f412,plain,
$false,
inference(forward_subsumption_resolution,[],[f411,f245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU374+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n026.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 05:01:27 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.11/0.45 % (3470393)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3470401)dis+10_1_sil=32000:sp=arity:random_seed=461376939:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (3470399)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3470401) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3470393-3470401"...
% 0.11/0.45 % (3470401)...printing done.
% 0.11/0.45 % (3470401)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (3470401)------------------------------
% 0.11/0.46 % (3470401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (3470401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (3470401)CaDiCaL version: 2.1.3
% 0.11/0.46 % (3470401)Termination reason: Refutation
% 0.11/0.46 % (3470401)Time elapsed: 0.005 s
% 0.11/0.46 % (3470401)Peak memory usage: 12 MB
% 0.11/0.46 % (3470401)Instructions burned: 10 (million)
% 0.11/0.46 % (3470393)Success in time 0.029 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------