%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW525_5 : TPTP v9.3.1. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 01:40:23 PM UTC 2026
% Result : ContradictoryAxioms 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 13 unt; 0 typ; 2 def)
% Number of atoms : 43 ( 13 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 9 |; 1 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 8 con; 0-10 aty)
% Number of variables : 13 ( 0 sgn 7 !; 6 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
com: $tType ).
tff(type_def_6,type,
loc: $tType ).
tff(type_def_7,type,
pname: $tType ).
tff(type_def_8,type,
state: $tType ).
tff(type_def_9,type,
vname: $tType ).
tff(type_def_10,type,
bool: $tType ).
tff(type_def_11,type,
nat: $tType ).
tff(type_def_12,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
ass: ( vname * fun(state,nat) ) > com ).
tff(func_def_1,type,
call: ( vname * pname * fun(state,nat) ) > com ).
tff(func_def_2,type,
cond: ( fun(state,bool) * com * com ) > com ).
tff(func_def_3,type,
local: ( loc * fun(state,nat) * com ) > com ).
tff(func_def_4,type,
skip: com ).
tff(func_def_5,type,
semi: ( com * com ) > com ).
tff(func_def_6,type,
while: ( fun(state,bool) * com ) > com ).
tff(func_def_7,type,
com_case:
!>[X0: $tType] : ( ( X0 * fun(vname,fun(fun(state,nat),X0)) * fun(loc,fun(fun(state,nat),fun(com,X0))) * fun(com,fun(com,X0)) * fun(fun(state,bool),fun(com,fun(com,X0))) * fun(fun(state,bool),fun(com,X0)) * fun(pname,X0) * fun(vname,fun(pname,fun(fun(state,nat),X0))) * com ) > X0 ) ).
tff(func_def_8,type,
com_rec:
!>[X0: $tType] : ( ( X0 * fun(vname,fun(fun(state,nat),X0)) * fun(loc,fun(fun(state,nat),fun(com,fun(X0,X0)))) * fun(com,fun(com,fun(X0,fun(X0,X0)))) * fun(fun(state,bool),fun(com,fun(com,fun(X0,fun(X0,X0))))) * fun(fun(state,bool),fun(com,fun(X0,X0))) * fun(pname,X0) * fun(vname,fun(pname,fun(fun(state,nat),X0))) * com ) > X0 ) ).
tff(func_def_9,type,
update: ( state * vname * nat ) > state ).
tff(func_def_10,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_11,type,
fFalse: bool ).
tff(func_def_12,type,
fTrue: bool ).
tff(func_def_13,type,
z: state ).
tff(func_def_14,type,
c: com ).
tff(func_def_15,type,
s: state ).
tff(func_def_16,type,
sK0: state ).
tff(func_def_17,type,
sK1: state ).
tff(func_def_18,type,
sK2: state > state ).
tff(func_def_19,type,
sK3: ( state * state * com * com ) > state ).
tff(func_def_20,type,
sK4: ( state * state * com * fun(state,bool) ) > state ).
tff(func_def_21,type,
sK5: ( state * state * com ) > nat ).
tff(func_def_22,type,
sK6: state > state ).
tff(pred_def_1,type,
wt: com > $o ).
tff(pred_def_3,type,
evalc: ( com * state * state ) > $o ).
tff(pred_def_4,type,
evaln: ( com * state * nat * state ) > $o ).
tff(pred_def_5,type,
pp: bool > $o ).
tff(f1,axiom,
( hoare_531836380gleton
<=> ? [X3: state,X4: state] : ( X3 != X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
tff(f101,axiom,
hoare_531836380gleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(f102,axiom,
! [X0: state] :
( ! [X1: state] :
( evalc(c,z,X1)
=> ( X0 = X1 ) )
=> ( X0 = s ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f103,axiom,
~ ? [X0: state] : evalc(c,z,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
tff(f106,plain,
( hoare_531836380gleton
<=> ? [X0: state,X1: state] : ( X0 != X1 ) ),
inference(rectify,[],[f1]) ).
tff(f151,plain,
! [X0: state] :
( ( X0 = s )
| ? [X1: state] :
( ( X0 != X1 )
& evalc(c,z,X1) ) ),
inference(ennf_transformation,[],[f102]) ).
tff(f152,plain,
! [X0: state] : ~ evalc(c,z,X0),
inference(ennf_transformation,[],[f103]) ).
tff(f154,plain,
( ( sK0 != sK1 )
| ~ hoare_531836380gleton ),
inference(cnf_transformation,[],[f106]) ).
tff(f281,plain,
hoare_531836380gleton,
inference(cnf_transformation,[],[f101]) ).
tff(f282,plain,
! [X0: state] :
( evalc(c,z,sK6(X0))
| ( s = X0 ) ),
inference(cnf_transformation,[],[f151]) ).
tff(f284,plain,
! [X0: state] : ~ evalc(c,z,X0),
inference(cnf_transformation,[],[f152]) ).
tff(f301,plain,
( ( sK0 != sK1 )
| hoare_531836380gleton ),
inference(consistent_polarity_flipping,[],[f154]) ).
tff(f304,plain,
~ hoare_531836380gleton,
inference(consistent_polarity_flipping,[],[f281]) ).
tff(f309,definition,
( spl7_2
<=> hoare_531836380gleton ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
tff(f318,definition,
( spl7_4
<=> ( sK0 = sK1 ) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
tff(f320,plain,
( ( sK0 != sK1 )
| spl7_4 ),
inference(avatar_component_clause,[],[f318]) ).
tff(f321,plain,
( spl7_2
| ~ spl7_4 ),
inference(avatar_split_clause,[],[f301,f318,f309]) ).
tff(f322,plain,
~ spl7_2,
inference(avatar_split_clause,[],[f304,f309]) ).
tff(f332,plain,
! [X0: state] : ( s = X0 ),
inference(forward_subsumption_resolution,[],[f282,f284]) ).
tff(f335,plain,
( ( s != sK0 )
| spl7_4 ),
inference(superposition,[],[f320,f332]) ).
tff(f340,plain,
( $false
| spl7_4 ),
inference(forward_subsumption_resolution,[],[f335,f332]) ).
tff(f341,plain,
spl7_4,
inference(avatar_contradiction_clause,[],[f340]) ).
cnf(s3,plain,
( spl7_2
| ~ spl7_4 ),
inference(sat_conversion,[],[f321]) ).
cnf(s4,plain,
~ spl7_2,
inference(sat_conversion,[],[f322]) ).
cnf(s7,plain,
spl7_4,
inference(sat_conversion,[],[f341]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s3,s7,s4]) ).
tff(f343,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW525_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n016.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 14:22:19 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.20/0.28 % (3649996)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (3650001)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3561729072_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % Exception at run slice level
% 0.20/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.28 % (3650002)% WARNING: option uhcvi not known.
% 0.20/0.28 % (3650002)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3948960940:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (3650003)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3388943976:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (3650004)dis+10_1_sil=32000:sp=arity:random_seed=1922078547:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (3650005)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1037843200:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (3650006)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3970187107:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (3650007)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3479461806:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (3650009)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3902780333:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.20/0.28 % (3650002) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3649996-3650002"...
% 0.20/0.28 % (3650004) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3649996-3650004"...
% 0.20/0.28 % (3650006) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3649996-3650006"...
% 0.20/0.28 % (3650005) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3649996-3650005"...
% 0.20/0.28 % Exception at run slice level
% 0.20/0.28 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 0.20/0.28 % (3650003) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3649996-3650003"...
% 0.20/0.28 % (3650002)...printing done.
% 0.20/0.28 % (3650004)...printing done.
% 0.20/0.28 % (3650006)...printing done.
% 0.20/0.28 % (3650007) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3649996-3650007"...
% 0.20/0.28 % (3650005)...printing done.
% 0.20/0.28 % (3650002)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status ContradictoryAxioms for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (3650002)------------------------------
% 0.20/0.28 % (3650002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (3650002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (3650002)CaDiCaL version: 2.1.3
% 0.20/0.28 % (3650002)Termination reason: Refutation
% 0.20/0.28 % (3650002)Time elapsed: 0.005 s
% 0.20/0.28 % (3650002)Peak memory usage: 12 MB
% 0.20/0.28 % (3650002)Instructions burned: 7 (million)
% 0.20/0.28 % (3649996)Success in time 0.046 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------