TSTP Solution File: SWW530_5 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW530_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 18:33:25 EDT 2024
% Result : Theorem 0.23s 0.46s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 68 ( 15 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 55 ( 25 ~; 20 |; 0 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 2 prp; 0-4 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-5 aty)
% Number of variables : 43 ( 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
a: $tType ).
tff(type_def_6,type,
b: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
huffma1450048681e_tree: $tType > $tType ).
tff(type_def_9,type,
int: $tType ).
tff(type_def_10,type,
list: $tType > $tType ).
tff(type_def_11,type,
nat: $tType ).
tff(type_def_12,type,
fun: ( $tType * $tType ) > $tType ).
tff(func_def_0,type,
zero_zero:
!>[X0: $tType] : X0 ).
tff(func_def_1,type,
huffma410068972_depth:
!>[X0: $tType] : ( ( huffma1450048681e_tree(X0) * X0 ) > nat ) ).
tff(func_def_2,type,
huffma945805758height:
!>[X0: $tType] : ( huffma1450048681e_tree(X0) > nat ) ).
tff(func_def_3,type,
huffma632063779ight_F:
!>[X0: $tType] : ( list(huffma1450048681e_tree(X0)) > nat ) ).
tff(func_def_4,type,
if:
!>[X0: $tType] : ( ( bool * X0 * X0 ) > X0 ) ).
tff(func_def_5,type,
nat1: int > nat ).
tff(func_def_6,type,
ring_1_of_int:
!>[X0: $tType] : ( int > X0 ) ).
tff(func_def_7,type,
linorder_insort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 * list(X0) ) > list(X0) ) ).
tff(func_def_8,type,
linorder_sort_key:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * list(X0) ) > list(X0) ) ).
tff(func_def_9,type,
cons:
!>[X0: $tType] : ( ( X0 * list(X0) ) > list(X0) ) ).
tff(func_def_10,type,
list_case:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),X0)) * list(X1) ) > X0 ) ).
tff(func_def_11,type,
list_rec:
!>[X0: $tType,X1: $tType] : ( ( X0 * fun(X1,fun(list(X1),fun(X0,X0))) * list(X1) ) > X0 ) ).
tff(func_def_12,type,
splice:
!>[X0: $tType] : ( ( list(X0) * list(X0) ) > list(X0) ) ).
tff(func_def_13,type,
semiring_1_of_nat:
!>[X0: $tType] : ( nat > X0 ) ).
tff(func_def_14,type,
ord_max:
!>[X0: $tType] : ( ( X0 * X0 ) > X0 ) ).
tff(func_def_15,type,
aa:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * X0 ) > X1 ) ).
tff(func_def_16,type,
fFalse: bool ).
tff(func_def_17,type,
fTrue: bool ).
tff(func_def_18,type,
a1: a ).
tff(func_def_19,type,
t_1: huffma1450048681e_tree(b) ).
tff(func_def_20,type,
t_2: huffma1450048681e_tree(a) ).
tff(pred_def_1,type,
ring_1:
!>[X0: $tType] : $o ).
tff(pred_def_2,type,
ord:
!>[X0: $tType] : $o ).
tff(pred_def_3,type,
ring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_4,type,
order:
!>[X0: $tType] : $o ).
tff(pred_def_5,type,
semiring_1:
!>[X0: $tType] : $o ).
tff(pred_def_6,type,
linorder:
!>[X0: $tType] : $o ).
tff(pred_def_7,type,
preorder:
!>[X0: $tType] : $o ).
tff(pred_def_8,type,
semiring_char_0:
!>[X0: $tType] : $o ).
tff(pred_def_9,type,
linordered_idom:
!>[X0: $tType] : $o ).
tff(pred_def_10,type,
linordered_semidom:
!>[X0: $tType] : $o ).
tff(pred_def_11,type,
null:
!>[X0: $tType] : ( list(X0) > $o ) ).
tff(pred_def_12,type,
nat_tr1645093318rphism:
!>[X0: $tType,X1: $tType] : ( ( fun(X0,X1) * fun(X0,bool) ) > $o ) ).
tff(pred_def_13,type,
ord_less_eq:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(pred_def_14,type,
order_strict_mono:
!>[X0: $tType,X1: $tType] : ( fun(X0,X1) > $o ) ).
tff(pred_def_15,type,
pp: bool > $o ).
tff(f321,plain,
$false,
inference(subsumption_resolution,[],[f320,f283]) ).
tff(f283,plain,
huffma410068972_depth(a,t_2,a1) = huffma945805758height(a,t_2),
inference(subsumption_resolution,[],[f277,f219]) ).
tff(f219,plain,
! [X0: $tType,X2: huffma1450048681e_tree(X0),X1: X0] : ord_less_eq(nat,huffma410068972_depth(X0,X2,X1),huffma945805758height(X0,X2)),
inference(cnf_transformation,[],[f136]) ).
tff(f136,plain,
! [X0: $tType,X1: X0,X2: huffma1450048681e_tree(X0)] : ord_less_eq(nat,huffma410068972_depth(X0,X2,X1),huffma945805758height(X0,X2)),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X0: $tType,X4: X0,X6: huffma1450048681e_tree(X0)] : ord_less_eq(nat,huffma410068972_depth(X0,X6,X4),huffma945805758height(X0,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f277,plain,
( ~ ord_less_eq(nat,huffma410068972_depth(a,t_2,a1),huffma945805758height(a,t_2))
| ( huffma410068972_depth(a,t_2,a1) = huffma945805758height(a,t_2) ) ),
inference(resolution,[],[f226,f268]) ).
tff(f268,plain,
ord_less_eq(nat,huffma945805758height(a,t_2),huffma410068972_depth(a,t_2,a1)),
inference(subsumption_resolution,[],[f265,f230]) ).
tff(f230,plain,
linorder(nat),
inference(cnf_transformation,[],[f117]) ).
tff(f117,axiom,
linorder(nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f265,plain,
( ord_less_eq(nat,huffma945805758height(a,t_2),huffma410068972_depth(a,t_2,a1))
| ~ linorder(nat) ),
inference(superposition,[],[f256,f215]) ).
tff(f215,plain,
huffma410068972_depth(a,t_2,a1) = ord_max(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2)),
inference(cnf_transformation,[],[f130]) ).
tff(f130,axiom,
huffma410068972_depth(a,t_2,a1) = ord_max(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f256,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ord_less_eq(X0,X2,ord_max(X0,X1,X2))
| ~ linorder(X0) ),
inference(cnf_transformation,[],[f201]) ).
tff(f201,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ord_less_eq(X0,X2,ord_max(X0,X1,X2))
| ~ linorder(X0) ),
inference(ennf_transformation,[],[f164]) ).
tff(f164,plain,
! [X0: $tType] :
( linorder(X0)
=> ! [X1: X0,X2: X0] : ord_less_eq(X0,X2,ord_max(X0,X1,X2)) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
! [X0: $tType] :
( linorder(X0)
=> ! [X13: X0,X12: X0] : ord_less_eq(X0,X12,ord_max(X0,X13,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f226,plain,
! [X0: nat,X1: nat] :
( ~ ord_less_eq(nat,X1,X0)
| ~ ord_less_eq(nat,X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f177]) ).
tff(f177,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
| ~ ord_less_eq(nat,X0,X1)
| ~ ord_less_eq(nat,X1,X0) ),
inference(flattening,[],[f176]) ).
tff(f176,plain,
! [X0: nat,X1: nat] :
( ( X0 = X1 )
| ~ ord_less_eq(nat,X0,X1)
| ~ ord_less_eq(nat,X1,X0) ),
inference(ennf_transformation,[],[f141]) ).
tff(f141,plain,
! [X0: nat,X1: nat] :
( ord_less_eq(nat,X1,X0)
=> ( ord_less_eq(nat,X0,X1)
=> ( X0 = X1 ) ) ),
inference(rectify,[],[f46]) ).
tff(f46,axiom,
! [X27: nat,X28: nat] :
( ord_less_eq(nat,X28,X27)
=> ( ord_less_eq(nat,X27,X28)
=> ( X27 = X28 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f320,plain,
huffma410068972_depth(a,t_2,a1) != huffma945805758height(a,t_2),
inference(subsumption_resolution,[],[f263,f286]) ).
tff(f286,plain,
ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2)),
inference(backward_demodulation,[],[f272,f283]) ).
tff(f272,plain,
ord_less_eq(nat,huffma945805758height(b,t_1),huffma410068972_depth(a,t_2,a1)),
inference(subsumption_resolution,[],[f269,f230]) ).
tff(f269,plain,
( ord_less_eq(nat,huffma945805758height(b,t_1),huffma410068972_depth(a,t_2,a1))
| ~ linorder(nat) ),
inference(superposition,[],[f257,f215]) ).
tff(f257,plain,
! [X0: $tType,X2: X0,X1: X0] :
( ord_less_eq(X0,X2,ord_max(X0,X2,X1))
| ~ linorder(X0) ),
inference(cnf_transformation,[],[f202]) ).
tff(f202,plain,
! [X0: $tType] :
( ! [X1: X0,X2: X0] : ord_less_eq(X0,X2,ord_max(X0,X2,X1))
| ~ linorder(X0) ),
inference(ennf_transformation,[],[f165]) ).
tff(f165,plain,
! [X0: $tType] :
( linorder(X0)
=> ! [X1: X0,X2: X0] : ord_less_eq(X0,X2,ord_max(X0,X2,X1)) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X0: $tType] :
( linorder(X0)
=> ! [X12: X0,X13: X0] : ord_less_eq(X0,X13,ord_max(X0,X13,X12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f263,plain,
( ~ ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
| ( huffma410068972_depth(a,t_2,a1) != huffma945805758height(a,t_2) ) ),
inference(subsumption_resolution,[],[f216,f214]) ).
tff(f214,plain,
~ p,
inference(cnf_transformation,[],[f134]) ).
tff(f134,plain,
~ p,
inference(flattening,[],[f133]) ).
tff(f133,negated_conjecture,
~ p,
inference(negated_conjecture,[],[f132]) ).
tff(f132,conjecture,
p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
tff(f216,plain,
( p
| ~ ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
| ( huffma410068972_depth(a,t_2,a1) != huffma945805758height(a,t_2) ) ),
inference(cnf_transformation,[],[f172]) ).
tff(f172,plain,
( p
| ~ ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
| ( huffma410068972_depth(a,t_2,a1) != huffma945805758height(a,t_2) ) ),
inference(flattening,[],[f171]) ).
tff(f171,plain,
( p
| ~ ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
| ( huffma410068972_depth(a,t_2,a1) != huffma945805758height(a,t_2) ) ),
inference(ennf_transformation,[],[f131]) ).
tff(f131,axiom,
( ( huffma410068972_depth(a,t_2,a1) = huffma945805758height(a,t_2) )
=> ( ord_less_eq(nat,huffma945805758height(b,t_1),huffma945805758height(a,t_2))
=> p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWW530_5 : TPTP v8.2.0. Released v6.0.0.
% 0.08/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n020.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 : Wed Jun 19 05:51:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.37 This is a TF1_THM_EQU_NAR problem
% 0.13/0.37 Running first-order theorem proving
% 0.13/0.37 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.45 % (19685)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (19692)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)
% 0.23/0.45 % (19685)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (19687)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.23/0.45 % (19685)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (19689)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)
% 0.23/0.45 % (19685)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (19688)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)
% 0.23/0.45 % (19685)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (19690)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.23/0.45 % (19685)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (19691)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)
% 0.23/0.45 % (19685)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (19686)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)
% 0.23/0.46 % (19692)First to succeed.
% 0.23/0.46 % (19692)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19685"
% 0.23/0.46 % (19685)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (19692)Refutation found. Thanks to Tanya!
% 0.23/0.46 % SZS status Theorem for theBenchmark
% 0.23/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.46 % (19692)------------------------------
% 0.23/0.46 % (19692)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.46 % (19692)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.46 % (19692)Termination reason: Refutation
% 0.23/0.46
% 0.23/0.46 % (19692)Memory used [KB]: 1220
% 0.23/0.46 % (19692)Time elapsed: 0.009 s
% 0.23/0.46 % (19692)Instructions burned: 10 (million)
% 0.23/0.46 % (19692)------------------------------
% 0.23/0.46 % (19692)------------------------------
% 0.23/0.46 % (19685)Success in time 0.068 s
%------------------------------------------------------------------------------