%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV857-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 01:26:32 PM UTC 2026
% Result : Unsatisfiable 0.21s 0.29s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 36 ( 13 unt; 2 def)
% Number of atoms : 63 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 32 ~; 25 |; 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 : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f267,axiom,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0,X1,tc_fun(X2,tc_bool)),X3))
| ~ hBOOL(hAPP(X0,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sup1CI_1) ).
fof(f340,axiom,
! [X2,X0,X1] :
( ~ class_Lattices_Oupper__semilattice(X0)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X2
| ~ c_lessequals(X1,X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
fof(f632,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
| ~ hBOOL(hAPP(X2,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_1) ).
fof(f633,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mem__def_0) ).
fof(f635,negated_conjecture,
c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f636,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f637,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f638,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f640,axiom,
! [X0,X1] :
( class_Lattices_Oupper__semilattice(tc_fun(X0,X1))
| ~ class_Lattices_Olattice(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
fof(f669,axiom,
class_Lattices_Olattice(tc_bool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
fof(f759,plain,
! [X2,X0,X1] :
( c_lessequals(X1,X2,X0)
| c_Lattices_Oupper__semilattice__class_Osup(X1,X2,X0) = X2
| class_Lattices_Oupper__semilattice(X0) ),
inference(consistent_polarity_flipping,[],[f340]) ).
fof(f936,plain,
~ c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),
inference(consistent_polarity_flipping,[],[f635]) ).
fof(f937,plain,
c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a),
inference(consistent_polarity_flipping,[],[f637]) ).
fof(f938,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,[],[f638]) ).
fof(f939,plain,
! [X0,X1] :
( ~ class_Lattices_Oupper__semilattice(tc_fun(X0,X1))
| ~ class_Lattices_Olattice(X1) ),
inference(consistent_polarity_flipping,[],[f640]) ).
fof(f1057,plain,
! [X0] :
( ~ hBOOL(hAPP(v_Ga,X0))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) ),
inference(resolution,[],[f632,f938]) ).
fof(f1059,plain,
hBOOL(hAPP(v_tsa,v_xa)),
inference(resolution,[],[f633,f636]) ).
fof(f1172,plain,
( v_Ga = c_Lattices_Oupper__semilattice__class_Osup(v_tsa,v_Ga,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,[],[f759,f936]) ).
fof(f1176,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(f1178,plain,
( class_Lattices_Oupper__semilattice(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1180,definition,
( spl0_2
<=> v_Ga = c_Lattices_Oupper__semilattice__class_Osup(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1182,plain,
( v_Ga = c_Lattices_Oupper__semilattice__class_Osup(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1183,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1172,f1180,f1176]) ).
fof(f1246,plain,
( ~ class_Lattices_Olattice(tc_bool)
| ~ spl0_1 ),
inference(resolution,[],[f1178,f939]) ).
fof(f1247,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f1246,f669]) ).
fof(f1248,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1247]) ).
fof(f1304,plain,
( ! [X0] :
( hBOOL(hAPP(v_Ga,X0))
| ~ hBOOL(hAPP(v_tsa,X0)) )
| ~ spl0_2 ),
inference(superposition,[],[f267,f1182]) ).
fof(f1306,plain,
( ! [X0] :
( ~ hBOOL(hAPP(v_tsa,X0))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f1304,f1057]) ).
fof(f1318,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a)
| ~ spl0_2 ),
inference(resolution,[],[f1306,f1059]) ).
fof(f1319,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1318,f937]) ).
fof(f1320,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1319]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1183]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f1248]) ).
cnf(s4,plain,
~ spl0_2,
inference(sat_conversion,[],[f1320]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f1321,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV857-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n009.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 12:44:45 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.21/0.29 % (3004012)Will run a generic schedule for satisfiability detection.
% 0.21/0.29 % (3004018)% WARNING: option uhcvi not known.
% 0.21/0.29 % (3004018)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2704753320:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.29 % (3004017)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1356891494_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.29 % (3004019)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=27550203:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.29 % (3004020)dis+10_1_sil=32000:sp=arity:random_seed=1430658949:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.29 % (3004021)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=33338629:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.29 % (3004022)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3098165360:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.29 % (3004023)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4104234422:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.29 % (3004018) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3004012-3004018"...
% 0.21/0.29 % (3004018)...printing done.
% 0.21/0.29 % (3004018)Refutation found. Thanks to Tanya!
% 0.21/0.29 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.29 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.29 % (3004018)------------------------------
% 0.21/0.29 % (3004018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.29 % (3004018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.29 % (3004018)CaDiCaL version: 2.1.3
% 0.21/0.29 % (3004018)Termination reason: Refutation
% 0.21/0.29 % (3004018)Time elapsed: 0.012 s
% 0.21/0.29 % (3004018)Peak memory usage: 13 MB
% 0.21/0.29 % (3004018)Instructions burned: 29 (million)
% 0.21/0.29 % (3004012)Success in time 0.063 s
% 0.21/0.29 % Vampire exiting
%------------------------------------------------------------------------------