TSTP Solution File: MSC017+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MSC017+1 : TPTP v8.1.2. Released v4.0.0.
% 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 08:02:23 EDT 2024
% Result : Theorem 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 26
% Syntax : Number of formulae : 91 ( 17 unt; 0 def)
% Number of atoms : 289 ( 16 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 352 ( 154 ~; 147 |; 18 &)
% ( 21 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 18 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 65 ( 59 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f123,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f44,f49,f54,f58,f62,f66,f70,f76,f80,f86,f93,f99,f103,f108,f114,f120,f122]) ).
fof(f122,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_17 ),
inference(avatar_split_clause,[],[f121,f118,f46,f36]) ).
fof(f36,plain,
( spl2_1
<=> dive(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f46,plain,
( spl2_3
<=> outcome(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f118,plain,
( spl2_17
<=> ! [X0] :
( ~ outcome(X0,sK1)
| ~ dive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).
fof(f121,plain,
( ~ dive(sK0)
| ~ spl2_3
| ~ spl2_17 ),
inference(resolution,[],[f119,f48]) ).
fof(f48,plain,
( outcome(sK0,sK1)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f119,plain,
( ! [X0] :
( ~ outcome(X0,sK1)
| ~ dive(X0) )
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f120,plain,
( spl2_17
| ~ spl2_5
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f116,f112,f56,f118]) ).
fof(f56,plain,
( spl2_5
<=> ! [X0] :
( ~ greater(depth(X0),depth_limit)
| ~ dive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f112,plain,
( spl2_16
<=> ! [X0] :
( greater(depth(X0),depth_limit)
| ~ outcome(X0,sK1)
| ~ dive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f116,plain,
( ! [X0] :
( ~ outcome(X0,sK1)
| ~ dive(X0) )
| ~ spl2_5
| ~ spl2_16 ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f115,plain,
( ! [X0] :
( ~ outcome(X0,sK1)
| ~ dive(X0)
| ~ dive(X0) )
| ~ spl2_5
| ~ spl2_16 ),
inference(resolution,[],[f113,f57]) ).
fof(f57,plain,
( ! [X0] :
( ~ greater(depth(X0),depth_limit)
| ~ dive(X0) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f113,plain,
( ! [X0] :
( greater(depth(X0),depth_limit)
| ~ outcome(X0,sK1)
| ~ dive(X0) )
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( spl2_16
| ~ spl2_6
| ~ spl2_15 ),
inference(avatar_split_clause,[],[f110,f106,f60,f112]) ).
fof(f60,plain,
( spl2_6
<=> ! [X0] :
( ~ greater(time(X0),time_limit)
| ~ dive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f106,plain,
( spl2_15
<=> ! [X0] :
( ~ outcome(X0,sK1)
| greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ dive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).
fof(f110,plain,
( ! [X0] :
( greater(depth(X0),depth_limit)
| ~ outcome(X0,sK1)
| ~ dive(X0) )
| ~ spl2_6
| ~ spl2_15 ),
inference(duplicate_literal_removal,[],[f109]) ).
fof(f109,plain,
( ! [X0] :
( greater(depth(X0),depth_limit)
| ~ outcome(X0,sK1)
| ~ dive(X0)
| ~ dive(X0) )
| ~ spl2_6
| ~ spl2_15 ),
inference(resolution,[],[f107,f61]) ).
fof(f61,plain,
( ! [X0] :
( ~ greater(time(X0),time_limit)
| ~ dive(X0) )
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f107,plain,
( ! [X0] :
( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit)
| ~ outcome(X0,sK1)
| ~ dive(X0) )
| ~ spl2_15 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f108,plain,
( spl2_15
| ~ spl2_12
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f104,f101,f90,f106]) ).
fof(f90,plain,
( spl2_12
<=> dci = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f101,plain,
( spl2_14
<=> ! [X0] :
( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ dive(X0)
| ~ outcome(X0,dci) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f104,plain,
( ! [X0] :
( ~ outcome(X0,sK1)
| greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ dive(X0) )
| ~ spl2_12
| ~ spl2_14 ),
inference(forward_demodulation,[],[f102,f92]) ).
fof(f92,plain,
( dci = sK1
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f102,plain,
( ! [X0] :
( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ dive(X0)
| ~ outcome(X0,dci) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( spl2_14
| ~ spl2_8
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f88,f84,f68,f101]) ).
fof(f68,plain,
( spl2_8
<=> ! [X0] :
( greater(nitrogen(X0),nitrogen_limit)
| ~ outcome(X0,dci)
| ~ dive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f84,plain,
( spl2_11
<=> ! [X0] :
( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit)
| ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f88,plain,
( ! [X0] :
( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ dive(X0)
| ~ outcome(X0,dci) )
| ~ spl2_8
| ~ spl2_11 ),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f87,plain,
( ! [X0] :
( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ dive(X0)
| ~ outcome(X0,dci)
| ~ dive(X0) )
| ~ spl2_8
| ~ spl2_11 ),
inference(resolution,[],[f85,f69]) ).
fof(f69,plain,
( ! [X0] :
( greater(nitrogen(X0),nitrogen_limit)
| ~ outcome(X0,dci)
| ~ dive(X0) )
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f85,plain,
( ! [X0] :
( ~ greater(nitrogen(X0),nitrogen_limit)
| greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ dive(X0) )
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f99,plain,
( spl2_13
| ~ spl2_1
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f81,f74,f36,f96]) ).
fof(f96,plain,
( spl2_13
<=> nitrogen(sK0) = padi(depth(sK0),time(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f74,plain,
( spl2_9
<=> ! [X0] :
( nitrogen(X0) = padi(depth(X0),time(X0))
| ~ dive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f81,plain,
( nitrogen(sK0) = padi(depth(sK0),time(sK0))
| ~ spl2_1
| ~ spl2_9 ),
inference(resolution,[],[f75,f38]) ).
fof(f38,plain,
( dive(sK0)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f75,plain,
( ! [X0] :
( ~ dive(X0)
| nitrogen(X0) = padi(depth(X0),time(X0)) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f93,plain,
( ~ spl2_1
| spl2_12
| ~ spl2_2
| ~ spl2_3
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f82,f78,f46,f41,f90,f36]) ).
fof(f41,plain,
( spl2_2
<=> bad(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f78,plain,
( spl2_10
<=> ! [X0,X1] :
( dci = X1
| ~ bad(X1)
| ~ outcome(X0,X1)
| ~ dive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f82,plain,
( ~ bad(sK1)
| dci = sK1
| ~ dive(sK0)
| ~ spl2_3
| ~ spl2_10 ),
inference(resolution,[],[f79,f48]) ).
fof(f79,plain,
( ! [X0,X1] :
( ~ outcome(X0,X1)
| ~ bad(X1)
| dci = X1
| ~ dive(X0) )
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f86,plain,
spl2_11,
inference(avatar_split_clause,[],[f33,f84]) ).
fof(f33,plain,
! [X0] :
( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit)
| ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ( ( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit)
| ~ greater(nitrogen(X0),nitrogen_limit) )
& ( greater(nitrogen(X0),nitrogen_limit)
| ( ~ greater(time(X0),time_limit)
& ~ greater(depth(X0),depth_limit) ) ) )
| ~ dive(X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( ( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit)
| ~ greater(nitrogen(X0),nitrogen_limit) )
& ( greater(nitrogen(X0),nitrogen_limit)
| ( ~ greater(time(X0),time_limit)
& ~ greater(depth(X0),depth_limit) ) ) )
| ~ dive(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ( ( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit) )
<=> greater(nitrogen(X0),nitrogen_limit) )
| ~ dive(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( dive(X0)
=> ( ( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit) )
<=> greater(nitrogen(X0),nitrogen_limit) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
fof(f80,plain,
spl2_10,
inference(avatar_split_clause,[],[f34,f78]) ).
fof(f34,plain,
! [X0,X1] :
( dci = X1
| ~ bad(X1)
| ~ outcome(X0,X1)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( dci = X1
| ~ bad(X1)
| ~ outcome(X0,X1) )
| ~ dive(X0) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ! [X1] :
( dci = X1
| ~ bad(X1)
| ~ outcome(X0,X1) )
| ~ dive(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( dive(X0)
=> ! [X1] :
( ( bad(X1)
& outcome(X0,X1) )
=> dci = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dci_is_the_only_bad_outcome) ).
fof(f76,plain,
spl2_9,
inference(avatar_split_clause,[],[f26,f74]) ).
fof(f26,plain,
! [X0] :
( nitrogen(X0) = padi(depth(X0),time(X0))
| ~ dive(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( nitrogen(X0) = padi(depth(X0),time(X0))
| ~ dive(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( dive(X0)
=> nitrogen(X0) = padi(depth(X0),time(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dive_nitrogen) ).
fof(f70,plain,
spl2_8,
inference(avatar_split_clause,[],[f30,f68]) ).
fof(f30,plain,
! [X0] :
( greater(nitrogen(X0),nitrogen_limit)
| ~ outcome(X0,dci)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ( ( greater(nitrogen(X0),nitrogen_limit)
| ~ outcome(X0,dci) )
& ( outcome(X0,dci)
| ~ greater(nitrogen(X0),nitrogen_limit) ) )
| ~ dive(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ( greater(nitrogen(X0),nitrogen_limit)
<=> outcome(X0,dci) )
| ~ dive(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( dive(X0)
=> ( greater(nitrogen(X0),nitrogen_limit)
<=> outcome(X0,dci) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',too_much_nitrogen) ).
fof(f66,plain,
spl2_7,
inference(avatar_split_clause,[],[f29,f64]) ).
fof(f64,plain,
( spl2_7
<=> ! [X0] :
( outcome(X0,dci)
| ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f29,plain,
! [X0] :
( outcome(X0,dci)
| ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f62,plain,
spl2_6,
inference(avatar_split_clause,[],[f28,f60]) ).
fof(f28,plain,
! [X0] :
( ~ greater(time(X0),time_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ( ~ greater(time(X0),time_limit)
& ~ greater(depth(X0),depth_limit) )
| ~ dive(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( dive(X0)
=> ( ~ greater(time(X0),time_limit)
& ~ greater(depth(X0),depth_limit) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_deep_long) ).
fof(f58,plain,
spl2_5,
inference(avatar_split_clause,[],[f27,f56]) ).
fof(f27,plain,
! [X0] :
( ~ greater(depth(X0),depth_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f54,plain,
spl2_4,
inference(avatar_split_clause,[],[f25,f51]) ).
fof(f51,plain,
( spl2_4
<=> bad(dci) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f25,plain,
bad(dci),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
bad(dci),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bad_dci) ).
fof(f49,plain,
spl2_3,
inference(avatar_split_clause,[],[f23,f46]) ).
fof(f23,plain,
outcome(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( bad(sK1)
& outcome(sK0,sK1)
& dive(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f9,f17,f16]) ).
fof(f16,plain,
( ? [X0] :
( ? [X1] :
( bad(X1)
& outcome(X0,X1) )
& dive(X0) )
=> ( ? [X1] :
( bad(X1)
& outcome(sK0,X1) )
& dive(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X1] :
( bad(X1)
& outcome(sK0,X1) )
=> ( bad(sK1)
& outcome(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
? [X0] :
( ? [X1] :
( bad(X1)
& outcome(X0,X1) )
& dive(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X0] :
( dive(X0)
=> ! [X1] :
( outcome(X0,X1)
=> ~ bad(X1) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X0] :
( dive(X0)
=> ! [X1] :
( outcome(X0,X1)
=> ~ bad(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_bad) ).
fof(f44,plain,
spl2_2,
inference(avatar_split_clause,[],[f24,f41]) ).
fof(f24,plain,
bad(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f39,plain,
spl2_1,
inference(avatar_split_clause,[],[f22,f36]) ).
fof(f22,plain,
dive(sK0),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MSC017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % 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 12:49:35 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (29886)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (29894)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 % (29894)First to succeed.
% 0.14/0.37 % (29894)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29886"
% 0.14/0.37 % (29894)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 % (29894)------------------------------
% 0.14/0.37 % (29894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (29894)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (29894)Memory used [KB]: 784
% 0.14/0.37 % (29894)Time elapsed: 0.004 s
% 0.14/0.37 % (29894)Instructions burned: 5 (million)
% 0.14/0.37 % (29886)Success in time 0.013 s
%------------------------------------------------------------------------------