TSTP Solution File: SET025-4 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SET025-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 09:10:32 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 22
% Syntax : Number of formulae : 40 ( 22 unt; 0 def)
% Number of atoms : 62 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 19 ~; 12 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 11 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f232,plain,
$false,
inference(avatar_sat_refutation,[],[f190,f195,f200,f204,f209,f213,f217,f221,f225,f229,f231]) ).
fof(f231,plain,
( spl0_1
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f230,plain,
( $false
| spl0_1
| ~ spl0_7 ),
inference(resolution,[],[f216,f189]) ).
fof(f189,plain,
( ~ little_set(non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b)))
| spl0_1 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f187,plain,
( spl0_1
<=> little_set(non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f216,plain,
( ! [X0,X1] : little_set(non_ordered_pair(X0,X1))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl0_7
<=> ! [X0,X1] : little_set(non_ordered_pair(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f229,plain,
spl0_10,
inference(avatar_split_clause,[],[f111,f227]) ).
fof(f227,plain,
( spl0_10
<=> ! [X7] :
( ~ one_to_one_function(X7)
| function(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f111,axiom,
! [X7] :
( ~ one_to_one_function(X7)
| function(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_to_one_function1) ).
fof(f225,plain,
spl0_9,
inference(avatar_split_clause,[],[f87,f223]) ).
fof(f223,plain,
( spl0_9
<=> ! [X7] :
( ~ function(X7)
| single_valued_set(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f87,axiom,
! [X7] :
( ~ function(X7)
| single_valued_set(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function2) ).
fof(f221,plain,
spl0_8,
inference(avatar_split_clause,[],[f86,f219]) ).
fof(f219,plain,
( spl0_8
<=> ! [X7] :
( ~ function(X7)
| relation(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f86,axiom,
! [X7] :
( ~ function(X7)
| relation(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',function1) ).
fof(f217,plain,
spl0_7,
inference(avatar_split_clause,[],[f8,f215]) ).
fof(f8,axiom,
! [X0,X1] : little_set(non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_ordered_pair4) ).
fof(f213,plain,
spl0_6,
inference(avatar_split_clause,[],[f172,f211]) ).
fof(f211,plain,
( spl0_6
<=> ! [X1] : ~ proper_subset(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f172,plain,
! [X1] : ~ proper_subset(X1,X1),
inference(equality_resolution,[],[f71]) ).
fof(f71,axiom,
! [X0,X1] :
( X0 != X1
| ~ proper_subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proper_subset2) ).
fof(f209,plain,
spl0_5,
inference(avatar_split_clause,[],[f61,f206]) ).
fof(f206,plain,
( spl0_5
<=> member(empty_set,infinity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f61,axiom,
member(empty_set,infinity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infinity2) ).
fof(f204,plain,
spl0_4,
inference(avatar_split_clause,[],[f58,f202]) ).
fof(f202,plain,
( spl0_4
<=> ! [X3] : ~ member(X3,empty_set) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f58,axiom,
! [X3] : ~ member(X3,empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',empty_set) ).
fof(f200,plain,
spl0_3,
inference(avatar_split_clause,[],[f100,f197]) ).
fof(f197,plain,
( spl0_3
<=> function(f25) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f100,axiom,
function(f25),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',choice1) ).
fof(f195,plain,
spl0_2,
inference(avatar_split_clause,[],[f60,f192]) ).
fof(f192,plain,
( spl0_2
<=> little_set(infinity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f60,axiom,
little_set(infinity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infinity1) ).
fof(f190,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f146,f187]) ).
fof(f146,plain,
~ little_set(non_ordered_pair(non_ordered_pair(a,a),non_ordered_pair(a,b))),
inference(definition_unfolding,[],[f142,f144]) ).
fof(f144,plain,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(non_ordered_pair(X0,X0),non_ordered_pair(X0,X1)),
inference(definition_unfolding,[],[f10,f9]) ).
fof(f9,axiom,
! [X0] : singleton_set(X0) = non_ordered_pair(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f10,axiom,
! [X0,X1] : ordered_pair(X0,X1) = non_ordered_pair(singleton_set(X0),non_ordered_pair(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ordered_pair) ).
fof(f142,axiom,
~ little_set(ordered_pair(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ordered_pairs_are_small) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET025-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n003.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 16:57:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (22284)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (22290)WARNING: value z3 for option sas not known
% 0.14/0.38 % (22293)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)
% 0.14/0.38 % (22294)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)
% 0.14/0.38 % (22291)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (22290)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)
% 0.14/0.38 % (22289)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (22288)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (22292)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)
% 0.14/0.39 % (22292)First to succeed.
% 0.14/0.39 % (22292)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22284"
% 0.14/0.39 % (22292)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (22292)------------------------------
% 0.14/0.39 % (22292)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (22292)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (22292)Memory used [KB]: 985
% 0.14/0.39 % (22292)Time elapsed: 0.010 s
% 0.14/0.39 % (22292)Instructions burned: 9 (million)
% 0.14/0.39 % (22284)Success in time 0.031 s
%------------------------------------------------------------------------------