TSTP Solution File: SWW513_5 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW513_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n014.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 18:33:20 EDT 2024
% Result : Theorem 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 12 ~; 9 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 14 usr; 1 prp; 0-6 aty)
% Number of functors : 26 ( 26 usr; 7 con; 0-5 aty)
% Number of variables : 33 ( 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
state: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
hoare_28830079triple: $tType > $tType ).
tff(type_def_9,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
combb:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,X1) * fun(X2,X0) ) > fun(X2,X1) ) ).
tff(func_def_1,type,
combc:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * X1 ) > fun(X0,X2) ) ).
tff(func_def_2,type,
combs:
!>[X0: $tType,X1: $tType,X2: $tType] : ( ( fun(X0,fun(X1,X2)) * fun(X0,X1) ) > fun(X0,X2) ) ).
tff(func_def_3,type,
uminus_uminus:
!>[X0: $tType] : fun(X0,X0) ).
tff(func_def_4,type,
ord_Least:
!>[X0: $tType] : ( fun(X0,bool) > X0 ) ).
tff(func_def_5,type,
ord_less_eq:
!>[X0: $tType] : fun(X0,fun(X0,bool)) ).
tff(func_def_6,type,
powp:
!>[X0: $tType] : ( fun(X0,bool) > fun(fun(X0,bool),bool) ) ).
tff(func_def_7,type,
ord_atLeast:
!>[X0: $tType] : ( X0 > fun(X0,bool) ) ).
tff(func_def_8,type,
ord_atMost:
!>[X0: $tType] : ( X0 > fun(X0,bool) ) ).
tff(func_def_9,type,
ord_greaterThan:
!>[X0: $tType] : ( X0 > fun(X0,bool) ) ).
tff(func_def_10,type,
ord_lessThan:
!>[X0: $tType] : ( X0 > fun(X0,bool) ) ).
tff(func_def_11,type,
collect:
!>[X0: $tType] : ( fun(X0,bool) > fun(X0,bool) ) ).
tff(func_def_12,type,
pow:
!>[X0: $tType] : ( fun(X0,bool) > fun(fun(X0,bool),bool) ) ).
tff(func_def_13,type,
image:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > fun(fun(X0,bool),fun(X1,bool)) ) ).
tff(func_def_14,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_15,type,
fFalse: bool ).
tff(func_def_16,type,
fNot: fun(bool,bool) ).
tff(func_def_17,type,
fTrue: bool ).
tff(func_def_18,type,
member:
!>[X0: $tType] : fun(X0,fun(fun(X0,bool),bool)) ).
tff(func_def_19,type,
g: fun(hoare_28830079triple(a),bool) ).
tff(func_def_20,type,
ga: fun(hoare_28830079triple(a),bool) ).
tff(func_def_21,type,
ts: fun(hoare_28830079triple(a),bool) ).
tff(func_def_22,type,
tsa: fun(hoare_28830079triple(a),bool) ).
tff(func_def_23,type,
sK0:
!>[X0: $tType] : ( ( fun(X0,bool) * fun(X0,bool) ) > X0 ) ).
tff(pred_def_1,type,
enum:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
wellorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
ordered_ab_group_add:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
enum_enum_all:
!>[X0: $tType] : ( fun(X0,bool) > $o ) ).
tff(pred_def_9,type,
hoare_992312373derivs:
!>[X0: $tType] : ( ( fun(hoare_28830079triple(X0),bool) * fun(hoare_28830079triple(X0),bool) ) > $o ) ).
tff(pred_def_10,type,
hoare_1442473487ek_and:
!>[X0: $tType] : ( ( fun(X0,fun(state,bool)) * fun(state,bool) * X0 * state ) > $o ) ).
tff(pred_def_11,type,
order_mono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_12,type,
order_strict_mono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_13,type,
inv_imagep:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,fun(X0,bool)) * fun(X1,X0) * X1 * X1 ) > $o ) ).
tff(pred_def_14,type,
pp: bool > $o ).
tff(f193,plain,
$false,
inference(resolution,[],[f180,f146]) ).
tff(f146,plain,
~ hoare_992312373derivs(a,ga,tsa),
inference(cnf_transformation,[],[f123]) ).
tff(f123,plain,
~ hoare_992312373derivs(a,ga,tsa),
inference(flattening,[],[f122]) ).
tff(f122,negated_conjecture,
~ hoare_992312373derivs(a,ga,tsa),
inference(negated_conjecture,[],[f121]) ).
tff(f121,conjecture,
hoare_992312373derivs(a,ga,tsa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f180,plain,
hoare_992312373derivs(a,ga,tsa),
inference(resolution,[],[f168,f148]) ).
tff(f148,plain,
hoare_992312373derivs(a,ga,ts),
inference(cnf_transformation,[],[f120]) ).
tff(f120,axiom,
hoare_992312373derivs(a,ga,ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f168,plain,
! [X0: fun(hoare_28830079triple(a),bool)] :
( ~ hoare_992312373derivs(a,X0,ts)
| hoare_992312373derivs(a,X0,tsa) ),
inference(resolution,[],[f163,f151]) ).
tff(f151,plain,
! [X0: $tType,X2: fun(hoare_28830079triple(X0),bool),X3: fun(hoare_28830079triple(X0),bool),X1: fun(hoare_28830079triple(X0),bool)] :
( ~ hoare_992312373derivs(X0,X3,X2)
| ~ hoare_992312373derivs(X0,X1,X3)
| hoare_992312373derivs(X0,X1,X2) ),
inference(cnf_transformation,[],[f133]) ).
tff(f133,plain,
! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool),X2: fun(hoare_28830079triple(X0),bool),X3: fun(hoare_28830079triple(X0),bool)] :
( hoare_992312373derivs(X0,X1,X2)
| ~ hoare_992312373derivs(X0,X1,X3)
| ~ hoare_992312373derivs(X0,X3,X2) ),
inference(flattening,[],[f132]) ).
tff(f132,plain,
! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool),X2: fun(hoare_28830079triple(X0),bool),X3: fun(hoare_28830079triple(X0),bool)] :
( hoare_992312373derivs(X0,X1,X2)
| ~ hoare_992312373derivs(X0,X1,X3)
| ~ hoare_992312373derivs(X0,X3,X2) ),
inference(ennf_transformation,[],[f124]) ).
tff(f124,plain,
! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool),X2: fun(hoare_28830079triple(X0),bool),X3: fun(hoare_28830079triple(X0),bool)] :
( hoare_992312373derivs(X0,X3,X2)
=> ( hoare_992312373derivs(X0,X1,X3)
=> hoare_992312373derivs(X0,X1,X2) ) ),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: $tType,X3: fun(hoare_28830079triple(X1),bool),X4: fun(hoare_28830079triple(X1),bool),X6: fun(hoare_28830079triple(X1),bool)] :
( hoare_992312373derivs(X1,X6,X4)
=> ( hoare_992312373derivs(X1,X3,X6)
=> hoare_992312373derivs(X1,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f163,plain,
hoare_992312373derivs(a,ts,tsa),
inference(resolution,[],[f159,f150]) ).
tff(f150,plain,
pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(fun(hoare_28830079triple(a),bool),fun(fun(hoare_28830079triple(a),bool),bool),ord_less_eq(fun(hoare_28830079triple(a),bool)),tsa),ts)),
inference(cnf_transformation,[],[f118]) ).
tff(f118,axiom,
pp(aa(fun(hoare_28830079triple(a),bool),bool,aa(fun(hoare_28830079triple(a),bool),fun(fun(hoare_28830079triple(a),bool),bool),ord_less_eq(fun(hoare_28830079triple(a),bool)),tsa),ts)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f159,plain,
! [X0: $tType,X2: fun(hoare_28830079triple(X0),bool),X1: fun(hoare_28830079triple(X0),bool)] :
( ~ pp(aa(fun(hoare_28830079triple(X0),bool),bool,aa(fun(hoare_28830079triple(X0),bool),fun(fun(hoare_28830079triple(X0),bool),bool),ord_less_eq(fun(hoare_28830079triple(X0),bool)),X2),X1))
| hoare_992312373derivs(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
tff(f143,plain,
! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool),X2: fun(hoare_28830079triple(X0),bool)] :
( hoare_992312373derivs(X0,X1,X2)
| ~ pp(aa(fun(hoare_28830079triple(X0),bool),bool,aa(fun(hoare_28830079triple(X0),bool),fun(fun(hoare_28830079triple(X0),bool),bool),ord_less_eq(fun(hoare_28830079triple(X0),bool)),X2),X1)) ),
inference(ennf_transformation,[],[f131]) ).
tff(f131,plain,
! [X0: $tType,X1: fun(hoare_28830079triple(X0),bool),X2: fun(hoare_28830079triple(X0),bool)] :
( pp(aa(fun(hoare_28830079triple(X0),bool),bool,aa(fun(hoare_28830079triple(X0),bool),fun(fun(hoare_28830079triple(X0),bool),bool),ord_less_eq(fun(hoare_28830079triple(X0),bool)),X2),X1))
=> hoare_992312373derivs(X0,X1,X2) ),
inference(rectify,[],[f1]) ).
tff(f1,axiom,
! [X1: $tType,X3: fun(hoare_28830079triple(X1),bool),X4: fun(hoare_28830079triple(X1),bool)] :
( pp(aa(fun(hoare_28830079triple(X1),bool),bool,aa(fun(hoare_28830079triple(X1),bool),fun(fun(hoare_28830079triple(X1),bool),bool),ord_less_eq(fun(hoare_28830079triple(X1),bool)),X4),X3))
=> hoare_992312373derivs(X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW513_5 : TPTP v8.2.0. Released v6.0.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jun 19 04:23:09 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.35 This is a TF1_THM_EQU_NAR problem
% 0.13/0.35 Running first-order theorem proving
% 0.13/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.43 % (17049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (17052)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)
% 0.21/0.43 % (17049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (17056)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)
% 0.21/0.43 % (17049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (17053)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)
% 0.21/0.43 % (17049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (17050)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)
% 0.21/0.43 % (17049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (17055)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)
% 0.21/0.43 % (17049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (17051)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.21/0.43 % (17049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (17054)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.21/0.43 % (17055)First to succeed.
% 0.21/0.43 % (17055)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17049"
% 0.21/0.43 % (17056)Also succeeded, but the first one will report.
% 0.21/0.43 % (17049)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (17055)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Theorem for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43 % (17055)------------------------------
% 0.21/0.43 % (17055)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.43 % (17055)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.43 % (17055)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (17055)Memory used [KB]: 1204
% 0.21/0.43 % (17055)Time elapsed: 0.006 s
% 0.21/0.43 % (17055)Instructions burned: 6 (million)
% 0.21/0.43 % (17055)------------------------------
% 0.21/0.43 % (17055)------------------------------
% 0.21/0.43 % (17049)Success in time 0.067 s
%------------------------------------------------------------------------------