TSTP Solution File: SWW469_5 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW469_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n008.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 : Mon Jun 24 18:32:38 EDT 2024
% Result : Theorem 0.27s 0.48s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 40 ( 20 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 7 |; 0 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 22 ( 20 usr; 4 prp; 0-5 aty)
% Number of functors : 32 ( 32 usr; 5 con; 0-4 aty)
% Number of variables : 26 ( 11 !; 15 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
com: $tType ).
tff(type_def_6,type,
state: $tType ).
tff(type_def_7,type,
node: ( $tType * $tType ) > $tType ).
tff(type_def_8,type,
bool: $tType ).
tff(type_def_9,type,
hoare_28830079triple: $tType > $tType ).
tff(type_def_10,type,
int: $tType ).
tff(type_def_11,type,
nat: $tType ).
tff(type_def_12,type,
char: $tType ).
tff(type_def_13,type,
literal: $tType ).
tff(type_def_14,type,
nibble: $tType ).
tff(type_def_15,type,
fun: ( $tType * $tType ) > $tType ).
tff(type_def_16,type,
sum_sum: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
one_one:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
sgn_sgn:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_2,type,
uminus_uminus:
!>[X0: $tType] : ( X0 > X0 ) ).
tff(func_def_3,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_4,type,
bool_size: bool > nat ).
tff(func_def_5,type,
equal_equal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_6,type,
hoare_689268419triple:
!>[X0: $tType] : fun(fun(node(sum_sum(com,fun(X0,fun(state,bool))),sum_sum(state,X0)),bool),hoare_28830079triple(X0)) ).
tff(func_def_7,type,
hoare_334633230triple:
!>[X0: $tType] : fun(hoare_28830079triple(X0),fun(node(sum_sum(com,fun(X0,fun(state,bool))),sum_sum(state,X0)),bool)) ).
tff(func_def_8,type,
hoare_1841697145triple:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * com * fun(X0,fun(state,bool)) ) > hoare_28830079triple(X0) ) ).
tff(func_def_9,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_10,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_11,type,
hoare_711253694ep_set:
!>[X0: $tType] : fun(fun(node(sum_sum(com,fun(X0,fun(state,bool))),sum_sum(state,X0)),bool),bool) ).
tff(func_def_12,type,
hoare_47506394e_size:
!>[X0: $tType] : ( ( fun(X0,nat) * hoare_28830079triple(X0) ) > nat ) ).
tff(func_def_13,type,
nat_size: nat > nat ).
tff(func_def_14,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_15,type,
size_size:
!>[X0: $tType] : ( X0 > nat ) ).
tff(func_def_16,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_17,type,
char1: ( nibble * nibble ) > char ).
tff(func_def_18,type,
char_case:
!>[X0: $tType] : ( ( fun(nibble,fun(nibble,X0)) * char ) > X0 ) ).
tff(func_def_19,type,
char_rec:
!>[X0: $tType] : ( ( fun(nibble,fun(nibble,X0)) * char ) > X0 ) ).
tff(func_def_20,type,
char_size: char > nat ).
tff(func_def_21,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_22,type,
fFalse: bool ).
tff(func_def_23,type,
fTrue: bool ).
tff(func_def_24,type,
fequal:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_25,type,
sK0: state ).
tff(func_def_26,type,
sK1: state ).
tff(func_def_27,type,
sK2: state ).
tff(pred_def_1,type,
enum:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
cl_HOL_Oequal:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
one:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
zero:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
sgn_if:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
group_add:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
zero_neq_one:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_12,type,
linord219039673up_add:
!>[X0: $tType] : $o ).
tff(pred_def_13,type,
semigroup:
!>[X0: $tType] : ( fun(X0,fun(X0,X0)) > $o ) ).
tff(pred_def_17,type,
ord_less:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_18,type,
type_definition:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X1,X0) * fun(X1,bool) ) > $o ) ).
tff(pred_def_19,type,
member:
!>[X0: $tType] : ( ( X0 * fun(X0,bool) ) > $o ) ).
tff(pred_def_20,type,
pp: bool > $o ).
tff(f175,plain,
$false,
inference(avatar_sat_refutation,[],[f162,f164,f174]) ).
tff(f174,plain,
spl3_2,
inference(avatar_contradiction_clause,[],[f173]) ).
tff(f173,plain,
( $false
| spl3_2 ),
inference(equality_resolution,[],[f167]) ).
tff(f167,plain,
( ! [X0: state] : ( sK1 != X0 )
| spl3_2 ),
inference(superposition,[],[f161,f163]) ).
tff(f163,plain,
! [X0: state,X1: state] : ( X0 = X1 ),
inference(superposition,[],[f151,f151]) ).
tff(f151,plain,
! [X1: state] : ( sK0 = X1 ),
inference(cnf_transformation,[],[f148]) ).
tff(f148,plain,
! [X1: state] : ( sK0 = X1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f145,f147]) ).
tff(f147,plain,
( ? [X0: state] :
! [X1: state] : ( X0 = X1 )
=> ! [X1: state] : ( sK0 = X1 ) ),
introduced(choice_axiom,[]) ).
tff(f145,plain,
? [X0: state] :
! [X1: state] : ( X0 = X1 ),
inference(ennf_transformation,[],[f142]) ).
tff(f142,plain,
~ ! [X0: state] :
? [X1: state] : ( X0 != X1 ),
inference(rectify,[],[f141]) ).
tff(f141,negated_conjecture,
~ ! [X52: state] :
? [X53: state] : ( X52 != X53 ),
inference(negated_conjecture,[],[f140]) ).
tff(f140,conjecture,
! [X52: state] :
? [X53: state] : ( X52 != X53 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f161,plain,
( ( sK1 != sK2 )
| spl3_2 ),
inference(avatar_component_clause,[],[f159]) ).
tff(f159,plain,
( spl3_2
<=> ( sK1 = sK2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
tff(f164,plain,
spl3_1,
inference(avatar_split_clause,[],[f152,f155]) ).
tff(f155,plain,
( spl3_1
<=> hoare_531836380gleton ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
tff(f152,plain,
hoare_531836380gleton,
inference(cnf_transformation,[],[f139]) ).
tff(f139,axiom,
hoare_531836380gleton,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f162,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f153,f159,f155]) ).
tff(f153,plain,
( ( sK1 != sK2 )
| ~ hoare_531836380gleton ),
inference(cnf_transformation,[],[f150]) ).
tff(f150,plain,
( ( sK1 != sK2 )
| ~ hoare_531836380gleton ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f146,f149]) ).
tff(f149,plain,
( ? [X0: state,X1: state] : ( X0 != X1 )
=> ( sK1 != sK2 ) ),
introduced(choice_axiom,[]) ).
tff(f146,plain,
( ? [X0: state,X1: state] : ( X0 != X1 )
| ~ hoare_531836380gleton ),
inference(ennf_transformation,[],[f144]) ).
tff(f144,plain,
( hoare_531836380gleton
=> ? [X0: state,X1: state] : ( X0 != X1 ) ),
inference(unused_predicate_definition_removal,[],[f143]) ).
tff(f143,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',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : SWW469_5 : TPTP v8.2.0. Released v6.0.0.
% 0.03/0.14 % Command : run_vampire %s %d THM
% 0.15/0.38 % Computer : n008.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Wed Jun 19 06:31:09 EDT 2024
% 0.15/0.38 % CPUTime :
% 0.15/0.40 This is a TF1_THM_EQU_NAR problem
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.27/0.47 % (5370)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (5373)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.27/0.47 % (5370)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (5371)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.27/0.47 % (5370)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (5377)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.27/0.47 % (5370)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (5376)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.27/0.47 % (5370)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (5375)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.27/0.47 % (5370)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (5372)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.27/0.47 % (5370)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.47 % (5374)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.27/0.48 % (5376)First to succeed.
% 0.27/0.48 % (5377)Also succeeded, but the first one will report.
% 0.27/0.48 % (5376)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5370"
% 0.27/0.48 % (5370)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.48 % (5376)Refutation found. Thanks to Tanya!
% 0.27/0.48 % SZS status Theorem for theBenchmark
% 0.27/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.48 % (5376)------------------------------
% 0.27/0.48 % (5376)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.27/0.48 % (5376)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.27/0.48 % (5376)Termination reason: Refutation
% 0.27/0.48
% 0.27/0.48 % (5376)Memory used [KB]: 1162
% 0.27/0.48 % (5376)Time elapsed: 0.006 s
% 0.27/0.48 % (5376)Instructions burned: 3 (million)
% 0.27/0.48 % (5376)------------------------------
% 0.27/0.48 % (5376)------------------------------
% 0.27/0.48 % (5370)Success in time 0.068 s
%------------------------------------------------------------------------------