%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU219+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:52:26 PM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 12 unt; 2 def)
% Number of atoms : 90 ( 33 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 84 ( 32 ~; 27 |; 16 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 sgn 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> function_inverse(X0) = relation_inverse(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_funct_1) ).
fof(f174,axiom,
! [X0] :
( relation(X0)
=> ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
fof(f202,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
fof(f203,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( one_to_one(X0)
=> ( relation_rng(X0) = relation_dom(function_inverse(X0))
& relation_dom(X0) = relation_rng(function_inverse(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f202]) ).
fof(f274,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f275,plain,
! [X0] :
( function_inverse(X0) = relation_inverse(X0)
| ~ one_to_one(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f274]) ).
fof(f381,plain,
! [X0] :
( ( relation_rng(X0) = relation_dom(relation_inverse(X0))
& relation_dom(X0) = relation_rng(relation_inverse(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f174]) ).
fof(f408,plain,
? [X0] :
( ( relation_rng(X0) != relation_dom(function_inverse(X0))
| relation_dom(X0) != relation_rng(function_inverse(X0)) )
& one_to_one(X0)
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f203]) ).
fof(f409,plain,
? [X0] :
( ( relation_rng(X0) != relation_dom(function_inverse(X0))
| relation_dom(X0) != relation_rng(function_inverse(X0)) )
& one_to_one(X0)
& relation(X0)
& function(X0) ),
inference(flattening,[],[f408]) ).
fof(f579,plain,
( ( relation_rng(sK73) != relation_dom(function_inverse(sK73))
| relation_dom(sK73) != relation_rng(function_inverse(sK73)) )
& one_to_one(sK73)
& relation(sK73)
& function(sK73) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(X0,sK73)],[f409]) ).
fof(f741,plain,
! [X0] :
( ~ one_to_one(X0)
| relation_inverse(X0) = function_inverse(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f905,plain,
! [X0] :
( ~ relation(X0)
| relation_dom(X0) = relation_rng(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f381]) ).
fof(f906,plain,
! [X0] :
( ~ relation(X0)
| relation_rng(X0) = relation_dom(relation_inverse(X0)) ),
inference(cnf_transformation,[],[f381]) ).
fof(f956,plain,
function(sK73),
inference(cnf_transformation,[],[f579]) ).
fof(f957,plain,
relation(sK73),
inference(cnf_transformation,[],[f579]) ).
fof(f958,plain,
one_to_one(sK73),
inference(cnf_transformation,[],[f579]) ).
fof(f959,plain,
( relation_rng(sK73) != relation_dom(function_inverse(sK73))
| relation_dom(sK73) != relation_rng(function_inverse(sK73)) ),
inference(cnf_transformation,[],[f579]) ).
fof(f1226,definition,
( spl78_1
<=> relation_dom(sK73) = relation_rng(function_inverse(sK73)) ),
introduced(definition,[new_symbols(definition,[spl78_1])],[avatar_definition]) ).
fof(f1228,plain,
( relation_dom(sK73) != relation_rng(function_inverse(sK73))
| spl78_1 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f1230,definition,
( spl78_2
<=> relation_rng(sK73) = relation_dom(function_inverse(sK73)) ),
introduced(definition,[new_symbols(definition,[spl78_2])],[avatar_definition]) ).
fof(f1232,plain,
( relation_rng(sK73) != relation_dom(function_inverse(sK73))
| spl78_2 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f1233,plain,
( ~ spl78_1
| ~ spl78_2 ),
inference(avatar_split_clause,[],[f959,f1230,f1226]) ).
fof(f1579,plain,
relation_dom(sK73) = relation_rng(relation_inverse(sK73)),
inference(resolution,[],[f905,f957]) ).
fof(f1626,plain,
relation_rng(sK73) = relation_dom(relation_inverse(sK73)),
inference(resolution,[],[f906,f957]) ).
fof(f3214,plain,
( function_inverse(sK73) = relation_inverse(sK73)
| ~ relation(sK73)
| ~ function(sK73) ),
inference(resolution,[],[f741,f958]) ).
fof(f3215,plain,
( function_inverse(sK73) = relation_inverse(sK73)
| ~ function(sK73) ),
inference(forward_subsumption_resolution,[],[f3214,f957]) ).
fof(f3219,plain,
function_inverse(sK73) = relation_inverse(sK73),
inference(forward_subsumption_resolution,[],[f3215,f956]) ).
fof(f3223,plain,
( relation_dom(sK73) != relation_rng(relation_inverse(sK73))
| spl78_1 ),
inference(superposition,[],[f1228,f3219]) ).
fof(f3227,plain,
( $false
| spl78_1 ),
inference(forward_subsumption_resolution,[],[f3223,f1579]) ).
fof(f3228,plain,
spl78_1,
inference(avatar_contradiction_clause,[],[f3227]) ).
fof(f3231,plain,
( relation_rng(sK73) != relation_dom(relation_inverse(sK73))
| spl78_2 ),
inference(forward_demodulation,[],[f1232,f3219]) ).
fof(f3232,plain,
( $false
| spl78_2 ),
inference(forward_subsumption_resolution,[],[f3231,f1626]) ).
fof(f3233,plain,
spl78_2,
inference(avatar_contradiction_clause,[],[f3232]) ).
cnf(s1,plain,
( ~ spl78_1
| ~ spl78_2 ),
inference(sat_conversion,[],[f1233]) ).
cnf(s33,plain,
spl78_1,
inference(sat_conversion,[],[f3228]) ).
cnf(s34,plain,
spl78_2,
inference(sat_conversion,[],[f3233]) ).
cnf(s37,plain,
$false,
inference(rat,[],[s1,s34,s33]) ).
fof(f3234,plain,
$false,
inference(avatar_sat_refutation,[],[s37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU219+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 04:08:25 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.18/0.50 % (1859690)Will run a generic schedule for satisfiability detection.
% 0.18/0.50 % (1859698)dis+10_1_sil=32000:sp=arity:random_seed=2582294072:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50 % (1859696)% WARNING: option uhcvi not known.
% 0.18/0.50 % (1859695)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2594864305_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50 % (1859696)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=538311503:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50 % (1859697)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1571809350:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50 % (1859699)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2554366051:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50 % (1859700)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3233300502:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50 % (1859701)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3565955546:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50 % (1859698) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1859690-1859698"...
% 0.18/0.50 % (1859698)...printing done.
% 0.18/0.50 % (1859698)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Theorem for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (1859698)------------------------------
% 0.18/0.50 % (1859698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.50 % (1859698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.50 % (1859698)CaDiCaL version: 2.1.3
% 0.18/0.50 % (1859698)Termination reason: Refutation
% 0.18/0.50 % (1859698)Time elapsed: 0.030 s
% 0.18/0.50 % (1859698)Peak memory usage: 14 MB
% 0.18/0.50 % (1859698)Instructions burned: 81 (million)
% 0.18/0.50 % (1859690)Success in time 0.065 s
% 0.18/0.50 % Vampire exiting
%------------------------------------------------------------------------------