%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW522_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 : n005.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 : Theorem 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 6 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-4 aty)
% Number of functors : 46 ( 46 usr; 8 con; 0-10 aty)
% Number of variables : 18 ( 15 !; 3 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
com: $tType ).
tff(type_def_7,type,
loc: $tType ).
tff(type_def_8,type,
pname: $tType ).
tff(type_def_9,type,
state: $tType ).
tff(type_def_10,type,
vname: $tType ).
tff(type_def_11,type,
bool: $tType ).
tff(type_def_12,type,
hoare_28830079triple: $tType > $tType ).
tff(type_def_13,type,
nat: $tType ).
tff(type_def_14,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
ass: ( vname * fun(state,nat) ) > com ).
tff(func_def_1,type,
cond: ( fun(state,bool) * com * com ) > com ).
tff(func_def_2,type,
local: ( loc * fun(state,nat) * com ) > com ).
tff(func_def_3,type,
skip: com ).
tff(func_def_4,type,
semi: ( com * com ) > com ).
tff(func_def_5,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_6,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_7,type,
com_size: com > nat ).
tff(func_def_8,type,
plus_plus:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_9,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_10,type,
hoare_1841697145triple:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) ) > hoare_28830079triple(X0) ) ).
tff(func_def_11,type,
hoare_376461865e_case:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).
tff(func_def_12,type,
hoare_678420151le_rec:
!>[X0: $tType,X1: $tType] : ( ( fun(fun(X0,fun(state,bool)),fun(com,fun(fun(X0,fun(state,bool)),X1))) * hoare_28830079triple(X0) ) > X1 ) ).
tff(func_def_13,type,
hoare_47506394e_size:
!>[X0: $tType] : ( ( fun(X0,nat) * hoare_28830079triple(X0) ) > nat ) ).
tff(func_def_14,type,
suc: nat > nat ).
tff(func_def_15,type,
nat_case:
!>[X0: $tType] : ( ( X0 * fun(nat,X0) * nat ) > X0 ) ).
tff(func_def_16,type,
nat_rec:
!>[X0: $tType] : ( ( X0 * fun(nat,fun(X0,X0)) * nat ) > X0 ) ).
tff(func_def_17,type,
semiri532925092at_aux:
!>[X0: $tType] : ( ( fun(X0,X0) * nat * X0 ) > X0 ) ).
tff(func_def_18,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_19,type,
update: ( state * vname * nat ) > state ).
tff(func_def_20,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_21,type,
fFalse: bool ).
tff(func_def_22,type,
fTrue: bool ).
tff(func_def_23,type,
ga: fun(hoare_28830079triple(a),bool) ).
tff(func_def_24,type,
n: nat ).
tff(func_def_25,type,
sK0:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) * nat ) > X0 ) ).
tff(func_def_26,type,
sK1:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) * nat ) > state ) ).
tff(func_def_27,type,
sK2:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) * nat ) > state ) ).
tff(func_def_28,type,
sK3: ( state * state * com * state * state * com ) > nat ).
tff(func_def_29,type,
sK4: ( state * nat * state * com * com ) > state ).
tff(func_def_30,type,
sK5:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(func_def_31,type,
sK6:
!>[X0: $tType] : ( hoare_28830079triple(X0) > com ) ).
tff(func_def_32,type,
sK7:
!>[X0: $tType] : ( hoare_28830079triple(X0) > fun(X0,fun(state,bool)) ) ).
tff(func_def_33,type,
sK8:
!>[X0: $tType] : ( ( nat * fun(hoare_28830079triple(X0),bool) ) > hoare_28830079triple(X0) ) ).
tff(func_def_34,type,
sK9:
!>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * X0 * fun(nat,X0) ) > nat ) ).
tff(func_def_35,type,
sK10:
!>[X0: $tType,X1: $tType] : ( ( fun(X1,X0) * fun(X1,X0) ) > X1 ) ).
tff(func_def_36,type,
sK11:
!>[X0: $tType] : ( ( fun(nat,fun(X0,X0)) * X0 * fun(nat,X0) ) > nat ) ).
tff(func_def_37,type,
sK12: nat > nat ).
tff(func_def_38,type,
sK13: fun(nat,bool) > nat ).
tff(func_def_39,type,
sK14: nat > nat ).
tff(func_def_40,type,
sK15: fun(nat,bool) > nat ).
tff(func_def_41,type,
sK16: a ).
tff(func_def_42,type,
sK17: state ).
tff(func_def_43,type,
sK18: state ).
tff(pred_def_1,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
cancel_semigroup_add:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
wt: com > $o ).
tff(pred_def_5,type,
hoare_592965047valids:
!>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).
tff(pred_def_6,type,
hoare_1633586161_valid:
!>[X0: $tType] : ( ( nat * hoare_28830079triple(X0) ) > $o ) ).
tff(pred_def_7,type,
evaln: ( com * state * nat * state ) > $o ).
tff(pred_def_8,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_9,type,
pp: bool > $o ).
tff(pred_def_10,type,
p: ( a * state ) > $o ).
tff(f2,axiom,
! [X0: state,X1: nat,X2: state] :
( evaln(skip,X2,X1,X0)
=> ( X0 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_evaln__elim__cases_I1_J) ).
tff(f102,conjecture,
! [X0: a,X1: state] :
( ~ p(X0,X1)
| ! [X2: state] :
( ~ evaln(skip,X1,n,X2)
| p(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f103,negated_conjecture,
~ ! [X0: a,X1: state] :
( ~ p(X0,X1)
| ! [X2: state] :
( ~ evaln(skip,X1,n,X2)
| p(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f102]) ).
tff(f106,plain,
! [X0: state,X1: nat,X2: state] :
( ( X0 = X2 )
| ~ evaln(skip,X2,X1,X0) ),
inference(ennf_transformation,[],[f2]) ).
tff(f148,plain,
? [X0: a,X1: state] :
( p(X0,X1)
& ? [X2: state] :
( evaln(skip,X1,n,X2)
& ~ p(X0,X2) ) ),
inference(ennf_transformation,[],[f103]) ).
tff(f180,plain,
( p(sK16,sK17)
& evaln(skip,sK17,n,sK18)
& ~ p(sK16,sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17,sK18]),skolemize(X0,sK16),skolemize(X1,sK17),skolemize(X2,sK18)],[f148]) ).
tff(f182,plain,
! [X2: state,X0: state,X1: nat] :
( ~ evaln(skip,X2,X1,X0)
| ( X0 = X2 ) ),
inference(cnf_transformation,[],[f106]) ).
tff(f313,plain,
~ p(sK16,sK18),
inference(cnf_transformation,[],[f180]) ).
tff(f314,plain,
evaln(skip,sK17,n,sK18),
inference(cnf_transformation,[],[f180]) ).
tff(f315,plain,
p(sK16,sK17),
inference(cnf_transformation,[],[f180]) ).
tff(f363,plain,
sK17 = sK18,
inference(resolution,[],[f182,f314]) ).
tff(f370,plain,
~ p(sK16,sK17),
inference(superposition,[],[f313,f363]) ).
tff(f371,plain,
$false,
inference(forward_subsumption_resolution,[],[f370,f315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW522_5 : TPTP v9.3.1. Released v6.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 14:17:16 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.26 % (808299)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (808306)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=527140498:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (808305)% WARNING: option uhcvi not known.
% 0.08/0.26 % (808306) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-808299-808306"...
% 0.08/0.26 % (808306)...printing done.
% 0.08/0.26 % (808306)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Theorem for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (808306)------------------------------
% 0.08/0.26 % (808306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (808306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (808306)CaDiCaL version: 2.1.3
% 0.08/0.26 % (808306)Termination reason: Refutation
% 0.08/0.26 % (808306)Time elapsed: 0.004 s
% 0.08/0.26 % (808306)Peak memory usage: 12 MB
% 0.08/0.26 % (808306)Instructions burned: 11 (million)
% 0.08/0.26 % (808299)Success in time 0.033 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------