TSTP Solution File: NUM693_8 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM693_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n024.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 : Sun May 5 08:41:54 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 53 ( 16 unt; 7 typ; 0 def)
% Number of atoms : 105 ( 44 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 30 ~; 31 |; 1 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of FOOLs : 28 ( 14 fml; 14 var)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 4 >; 2 *; 0 +; 0 <<)
% Number of predicates : 12 ( 9 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 34 !; 2 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
nat: $tType ).
tff(func_def_0,type,
x: nat ).
tff(func_def_1,type,
n_1: nat ).
tff(func_def_2,type,
suc: nat > nat ).
tff(func_def_3,type,
pl: ( nat * nat ) > nat ).
tff(func_def_6,type,
sK0: nat > nat ).
tff(pred_def_1,type,
more: ( nat * nat ) > $o ).
tff(f103,plain,
$false,
inference(avatar_sat_refutation,[],[f32,f37,f42,f46,f50,f57,f62,f67,f102]) ).
tff(f102,plain,
( spl1_2
| spl1_1
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f63,f60,f29,f34]) ).
tff(f34,plain,
( spl1_2
<=> ( n_1 = x ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
tff(f29,plain,
( spl1_1
<=> more(x,n_1) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
tff(f60,plain,
( spl1_7
<=> ! [X0: nat] :
( more(X0,n_1)
| ( n_1 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
tff(f63,plain,
( ( n_1 = x )
| spl1_1
| ~ spl1_7 ),
inference(resolution,[],[f61,f31]) ).
tff(f31,plain,
( ~ more(x,n_1)
| spl1_1 ),
inference(avatar_component_clause,[],[f29]) ).
tff(f61,plain,
( ! [X0: nat] :
( more(X0,n_1)
| ( n_1 = X0 ) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f60]) ).
tff(f67,plain,
( spl1_8
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f51,f48,f65]) ).
tff(f65,plain,
( spl1_8
<=> ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).
tff(f48,plain,
( spl1_5
<=> ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
tff(f51,plain,
( ! [X0: $o,X1: $o] :
( ( (X0) = (X1) )
| ( $false = (X1) )
| ( $false = (X0) ) )
| ~ spl1_5 ),
inference(superposition,[],[f49,f49]) ).
tff(f49,plain,
( ! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) )
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f48]) ).
tff(f62,plain,
( spl1_7
| ~ spl1_4
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f58,f55,f44,f60]) ).
tff(f44,plain,
( spl1_4
<=> ! [X0: nat,X1: nat] : more(pl(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
tff(f55,plain,
( spl1_6
<=> ! [X0: nat] :
( ( pl(n_1,sK0(X0)) = X0 )
| ( n_1 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
tff(f58,plain,
( ! [X0: nat] :
( more(X0,n_1)
| ( n_1 = X0 ) )
| ~ spl1_4
| ~ spl1_6 ),
inference(superposition,[],[f45,f56]) ).
tff(f56,plain,
( ! [X0: nat] :
( ( pl(n_1,sK0(X0)) = X0 )
| ( n_1 = X0 ) )
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f45,plain,
( ! [X0: nat,X1: nat] : more(pl(X0,X1),X0)
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f44]) ).
tff(f57,plain,
spl1_6,
inference(avatar_split_clause,[],[f26,f55]) ).
tff(f26,plain,
! [X0: nat] :
( ( pl(n_1,sK0(X0)) = X0 )
| ( n_1 = X0 ) ),
inference(definition_unfolding,[],[f23,f22]) ).
tff(f22,plain,
! [X0: nat] : ( suc(X0) = pl(n_1,X0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f11,plain,
! [X0: nat] : ( suc(X0) = pl(n_1,X0) ),
inference(rectify,[],[f4]) ).
tff(f4,axiom,
! [X1: nat] : ( suc(X1) = pl(n_1,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz4g) ).
tff(f23,plain,
! [X0: nat] :
( ( suc(sK0(X0)) = X0 )
| ( n_1 = X0 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: nat] :
( ( suc(sK0(X0)) = X0 )
| ( n_1 = X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f16,f18]) ).
tff(f18,plain,
! [X0: nat] :
( ? [X1: nat] : ( suc(X1) = X0 )
=> ( suc(sK0(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
tff(f16,plain,
! [X0: nat] :
( ? [X1: nat] : ( suc(X1) = X0 )
| ( n_1 = X0 ) ),
inference(ennf_transformation,[],[f12]) ).
tff(f12,plain,
! [X0: nat] :
( ( n_1 != X0 )
=> ~ ! [X1: nat] : ( suc(X1) != X0 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: nat] :
( ( n_1 != X1 )
=> ~ ! [X2: nat] : ( suc(X2) != X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz3) ).
tff(f50,plain,
spl1_5,
inference(avatar_split_clause,[],[f8,f48]) ).
tff(f8,plain,
! [X0: $o] :
( ( $true = (X0) )
| ( $false = (X0) ) ),
introduced(fool_axiom,[]) ).
tff(f46,plain,
spl1_4,
inference(avatar_split_clause,[],[f25,f44]) ).
tff(f25,plain,
! [X0: nat,X1: nat] : more(pl(X0,X1),X0),
inference(cnf_transformation,[],[f14]) ).
tff(f14,plain,
! [X0: nat,X1: nat] : more(pl(X0,X1),X0),
inference(rectify,[],[f3]) ).
tff(f3,axiom,
! [X1: nat,X3: nat] : more(pl(X1,X3),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz18) ).
tff(f42,plain,
~ spl1_3,
inference(avatar_split_clause,[],[f7,f39]) ).
tff(f39,plain,
( spl1_3
<=> ( $true = $false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
tff(f7,plain,
$true != $false,
introduced(fool_axiom,[]) ).
tff(f37,plain,
~ spl1_2,
inference(avatar_split_clause,[],[f21,f34]) ).
tff(f21,plain,
n_1 != x,
inference(cnf_transformation,[],[f15]) ).
tff(f15,plain,
( ( n_1 != x )
& ~ more(x,n_1) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,negated_conjecture,
~ ( ~ more(x,n_1)
=> ( n_1 = x ) ),
inference(negated_conjecture,[],[f5]) ).
tff(f5,conjecture,
( ~ more(x,n_1)
=> ( n_1 = x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satz24) ).
tff(f32,plain,
~ spl1_1,
inference(avatar_split_clause,[],[f20,f29]) ).
tff(f20,plain,
~ more(x,n_1),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM693_8 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 14:44:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (20901)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (20904)WARNING: value z3 for option sas not known
% 0.14/0.37 % (20903)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (20905)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (20906)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)
% 0.14/0.37 % (20904)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)
% 0.14/0.37 Detected minimum model sizes of [1,1]
% 0.14/0.37 Detected maximum model sizes of [max,2]
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [1,2]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.37 % (20905)Refutation not found, incomplete strategy% (20905)------------------------------
% 0.14/0.37 % (20905)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (20908)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)
% 0.14/0.37 % (20905)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.37
% 0.14/0.37 % (20905)Memory used [KB]: 727
% 0.14/0.37 % (20905)Time elapsed: 0.003 s
% 0.14/0.37 % (20905)Instructions burned: 3 (million)
% 0.14/0.37 % (20902)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (20907)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)
% 0.14/0.37 % (20905)------------------------------
% 0.14/0.37 % (20905)------------------------------
% 0.14/0.37 Detected minimum model sizes of [1,1]
% 0.14/0.37 Detected maximum model sizes of [max,2]
% 0.14/0.37 % (20906)First to succeed.
% 0.14/0.37 % (20904)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [1,1]
% 0.14/0.37 TRYING [1,2]
% 0.14/0.37 TRYING [2,2]
% 0.14/0.37 % (20908)Also succeeded, but the first one will report.
% 0.14/0.37 TRYING [3,2]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (20906)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20901"
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [4,2]
% 0.14/0.37 % (20907)Also succeeded, but the first one will report.
% 0.14/0.37 % (20906)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Theorem for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (20906)------------------------------
% 0.14/0.37 % (20906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (20906)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (20906)Memory used [KB]: 778
% 0.14/0.37 % (20906)Time elapsed: 0.005 s
% 0.14/0.37 % (20906)Instructions burned: 5 (million)
% 0.14/0.37 % (20901)Success in time 0.03 s
%------------------------------------------------------------------------------