%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV858-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 01:26:33 PM UTC 2026
% Result : Unsatisfiable 0.50s 0.42s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 14 unt; 2 def)
% Number of atoms : 86 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 85 ( 44 ~; 39 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f271,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(X1,X3))
| hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).
fof(f344,axiom,
! [X2,X0,X1] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X1
| ~ c_lessequals(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
fof(f636,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f637,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f641,negated_conjecture,
c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f642,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f643,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f644,negated_conjecture,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f645,negated_conjecture,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_Ga)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f646,negated_conjecture,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f648,axiom,
! [X0,X1] :
( class_Lattices_Oupper__semilattice(tc_fun(X0,X1))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(f677,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
fof(f784,plain,
! [X2,X0,X1] :
( c_lessequals(X2,X1,X0)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X1
| class_Lattices_Oupper__semilattice(X0) ),
inference(consistent_polarity_flipping,[],[f344]) ).
fof(f976,plain,
~ c_lessequals(v_tsa,v_ts_H,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
inference(consistent_polarity_flipping,[],[f641]) ).
fof(f977,plain,
c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(consistent_polarity_flipping,[],[f643]) ).
fof(f978,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) ),
inference(consistent_polarity_flipping,[],[f644]) ).
fof(f979,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_Ga)) ),
inference(consistent_polarity_flipping,[],[f645]) ).
fof(f980,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,X1,t_a)
| c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
inference(consistent_polarity_flipping,[],[f646]) ).
fof(f981,plain,
! [X0,X1] :
( ~ class_Lattices_Oupper__semilattice(tc_fun(X0,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(consistent_polarity_flipping,[],[f648]) ).
fof(f1087,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(v_ts_H,X0))
| ~ c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X1)),v_Ga)) ),
inference(resolution,[],[f636,f979]) ).
fof(f1088,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(v_ts_H,X0))
| ~ c_Hoare__Mirabelle_Otriple__valid(X1,X0,t_a)
| c_Hoare__Mirabelle_Otriple__valid(X1,v_n(X1),t_a) ),
inference(resolution,[],[f636,f980]) ).
fof(f1090,plain,
hBOOL(hAPP(v_tsa,v_xa)),
inference(resolution,[],[f637,f642]) ).
fof(f1149,definition,
( spl0_1
<=> class_Lattices_Oupper__semilattice(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1151,plain,
( class_Lattices_Oupper__semilattice(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f1192,plain,
( v_ts_H = c_Lattices_Oupper__semilattice__class_Osup(v_ts_H,v_tsa,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
| class_Lattices_Oupper__semilattice(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
inference(resolution,[],[f784,f976]) ).
fof(f1197,definition,
( spl0_3
<=> v_ts_H = c_Lattices_Oupper__semilattice__class_Osup(v_ts_H,v_tsa,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1199,plain,
( v_ts_H = c_Lattices_Oupper__semilattice__class_Osup(v_ts_H,v_tsa,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1200,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f1192,f1197,f1149]) ).
fof(f1208,plain,
( ~ class_Lattices_Olattice(tc_bool)
| ~ spl0_1 ),
inference(resolution,[],[f1151,f981]) ).
fof(f1209,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1208,f677]) ).
fof(f1210,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1209]) ).
fof(f1321,plain,
! [X0,X1] : hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,v_tsa,tc_fun(X1,tc_bool)),v_xa)),
inference(resolution,[],[f271,f1090]) ).
fof(f1330,plain,
( hBOOL(hAPP(v_ts_H,v_xa))
| ~ spl0_3 ),
inference(superposition,[],[f1321,f1199]) ).
fof(f1339,plain,
( ! [X0] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_xa,t_a)
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),v_Ga)) )
| ~ spl0_3 ),
inference(resolution,[],[f1330,f1087]) ).
fof(f1340,plain,
( ! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_xa,t_a) )
| ~ spl0_3 ),
inference(resolution,[],[f1330,f1088]) ).
fof(f1539,plain,
( hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(v_x)),v_Ga))
| ~ spl0_3 ),
inference(resolution,[],[f1339,f977]) ).
fof(f1541,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_n(v_x),t_a)
| ~ spl0_3 ),
inference(resolution,[],[f1539,f978]) ).
fof(f1546,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a)
| ~ spl0_3 ),
inference(resolution,[],[f1541,f1340]) ).
fof(f1547,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f1546,f977]) ).
fof(f1548,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f1547]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f1200]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f1210]) ).
cnf(s4,plain,
~ spl0_3,
inference(sat_conversion,[],[f1548]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f1549,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV858-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.24 % Computer : n020.cluster.edu
% 0.08/0.24 % Model : x86_64 x86_64
% 0.08/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.24 % Memory : 8046.5625MB
% 0.08/0.24 % OS : Linux 6.8.0-71-generic
% 0.08/0.24 % CPULimit : 300
% 0.08/0.24 % WCLimit : 300
% 0.08/0.24 % DateTime : Mon Sep 28 12:45:34 UTC 2026
% 0.08/0.25 % CPUTime :
% 0.08/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.29 Running first-order model finding
% 0.24/0.29 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
% 0.50/0.42 % (139975)Will run a generic schedule for satisfiability detection.
% 0.50/0.42 % (139987)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1573336062:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.50/0.42 % (139982)% WARNING: option uhcvi not known.
% 0.50/0.42 % (139981)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2791376131_2999 on theBenchmark for (2999ds/0Mi)
% 0.50/0.42 % (139986)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4051755709:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.50/0.42 % (139984)dis+10_1_sil=32000:sp=arity:random_seed=2116274317:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.50/0.42 % (139985)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=772568942:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.50/0.42 % (139982)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1110222393:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.50/0.42 % (139983)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1714747869:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.50/0.42 % (139982) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-139975-139982"...
% 0.50/0.42 % (139984) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-139975-139984"...
% 0.50/0.42 % (139982)...printing done.
% 0.50/0.42 % (139982)Refutation found. Thanks to Tanya!
% 0.50/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.50/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.50/0.42 % (139982)------------------------------
% 0.50/0.42 % (139982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (139982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (139982)CaDiCaL version: 2.1.3
% 0.50/0.42 % (139982)Termination reason: Refutation
% 0.50/0.42 % (139982)Time elapsed: 0.045 s
% 0.50/0.42 % (139982)Peak memory usage: 13 MB
% 0.50/0.42 % (139982)Instructions burned: 37 (million)
% 0.50/0.42 % (139975)Success in time 0.11 s
% 0.50/0.42 % Vampire exiting
%------------------------------------------------------------------------------