TSTP Solution File: SWW525_5 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW525_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 17:35:28 EDT 2024
% Result : ContradictoryAxioms 0.13s 0.37s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 45
% Syntax : Number of formulae : 62 ( 10 unt; 39 typ; 0 def)
% Number of atoms : 48 ( 25 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 47 ( 22 ~; 10 |; 7 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 78 ( 24 >; 54 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 2 prp; 0-5 aty)
% Number of functors : 24 ( 24 usr; 8 con; 0-10 aty)
% Number of variables : 35 ( 17 !; 14 ?; 35 :)
% ( 4 !>; 0 ?*; 0 @-; 0 @+)
% 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,
sK4: state > state ).
tff(func_def_17,type,
sK5: state > state ).
tff(func_def_18,type,
sK6: state ).
tff(func_def_19,type,
sK7: state ).
tff(func_def_20,type,
sK8: ( state * state * com ) > nat ).
tff(func_def_21,type,
sK9: ( state * state * com * com ) > state ).
tff(func_def_22,type,
sK10: ( state * com * fun(state,bool) * 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(pred_def_6,type,
sP0: ( state * com * fun(state,bool) * state ) > $o ).
tff(pred_def_7,type,
sP1: ( state * fun(state,bool) * state ) > $o ).
tff(pred_def_8,type,
sP2: ( state * state * com * fun(state,bool) ) > $o ).
tff(pred_def_9,type,
sP3: ( state * nat * state * com * fun(state,bool) ) > $o ).
tff(f449,plain,
$false,
inference(subsumption_resolution,[],[f448,f445]) ).
tff(f445,plain,
! [X0: state] : ( s = X0 ),
inference(subsumption_resolution,[],[f297,f296]) ).
tff(f296,plain,
! [X0: state] : ~ evalc(c,z,X0),
inference(cnf_transformation,[],[f206]) ).
tff(f206,plain,
! [X0: state] : ~ evalc(c,z,X0),
inference(ennf_transformation,[],[f107]) ).
tff(f107,plain,
~ ? [X0: state] : evalc(c,z,X0),
inference(rectify,[],[f103]) ).
tff(f103,axiom,
~ ? [X59: state] : evalc(c,z,X59),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
tff(f297,plain,
! [X0: state] :
( ( s = X0 )
| evalc(c,z,sK4(X0)) ),
inference(cnf_transformation,[],[f259]) ).
tff(f259,plain,
! [X0: state] :
( ( s = X0 )
| ( ( sK4(X0) != X0 )
& evalc(c,z,sK4(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f207,f258]) ).
tff(f258,plain,
! [X0: state] :
( ? [X1: state] :
( ( X0 != X1 )
& evalc(c,z,X1) )
=> ( ( sK4(X0) != X0 )
& evalc(c,z,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
tff(f207,plain,
! [X0: state] :
( ( s = X0 )
| ? [X1: state] :
( ( X0 != X1 )
& evalc(c,z,X1) ) ),
inference(ennf_transformation,[],[f108]) ).
tff(f108,plain,
! [X0: state] :
( ! [X1: state] :
( evalc(c,z,X1)
=> ( X0 = X1 ) )
=> ( s = X0 ) ),
inference(rectify,[],[f102]) ).
tff(f102,axiom,
! [X58: state] :
( ! [X27: state] :
( evalc(c,z,X27)
=> ( X27 = X58 ) )
=> ( s = X58 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f448,plain,
s != sK6,
inference(forward_demodulation,[],[f447,f445]) ).
tff(f447,plain,
sK6 != sK7,
inference(subsumption_resolution,[],[f303,f295]) ).
tff(f295,plain,
hoare_531836380gleton,
inference(cnf_transformation,[],[f101]) ).
tff(f101,axiom,
hoare_531836380gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f303,plain,
( ( sK6 != sK7 )
| ~ hoare_531836380gleton ),
inference(cnf_transformation,[],[f265]) ).
tff(f265,plain,
( ( hoare_531836380gleton
| ! [X0: state,X1: state] : ( X0 = X1 ) )
& ( ( sK6 != sK7 )
| ~ hoare_531836380gleton ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f263,f264]) ).
tff(f264,plain,
( ? [X2: state,X3: state] : ( X2 != X3 )
=> ( sK6 != sK7 ) ),
introduced(choice_axiom,[]) ).
tff(f263,plain,
( ( hoare_531836380gleton
| ! [X0: state,X1: state] : ( X0 = X1 ) )
& ( ? [X2: state,X3: state] : ( X2 != X3 )
| ~ hoare_531836380gleton ) ),
inference(rectify,[],[f262]) ).
tff(f262,plain,
( ( hoare_531836380gleton
| ! [X0: state,X1: state] : ( X0 = X1 ) )
& ( ? [X0: state,X1: state] : ( X0 != X1 )
| ~ hoare_531836380gleton ) ),
inference(nnf_transformation,[],[f110]) ).
tff(f110,plain,
( hoare_531836380gleton
<=> ? [X0: state,X1: state] : ( X0 != X1 ) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
( hoare_531836380gleton
<=> ? [X3: state,X4: state] : ( X3 != X4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_state__not__singleton__def) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW525_5 : TPTP v8.1.2. Released v6.0.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 03:49:58 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (12530)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (12533)WARNING: value z3 for option sas not known
% 0.13/0.37 % (12532)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (12531)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (12534)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (12533)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (12535)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.37 % (12536)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.37 % (12537)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.37 % (12537)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: % Exception at run slice levelFinite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % Exception at run slice level
% 0.13/0.37 User error: Finite model buillding is currently not compatible with polymorphism or higher-order constructs
% 0.13/0.37 % (12537)First to succeed.
% 0.13/0.37 % (12537)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status ContradictoryAxioms for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (12537)------------------------------
% 0.13/0.37 % (12537)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37 % (12537)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (12537)Memory used [KB]: 975
% 0.13/0.37 % (12537)Time elapsed: 0.006 s
% 0.13/0.37 % (12537)Instructions burned: 9 (million)
% 0.13/0.37 % (12537)------------------------------
% 0.13/0.37 % (12537)------------------------------
% 0.13/0.37 % (12530)Success in time 0.026 s
%------------------------------------------------------------------------------