TSTP Solution File: MSC017+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MSC017+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n025.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 : Wed Aug 31 17:52:37 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 6 unt; 0 def)
% Number of atoms : 139 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 156 ( 65 ~; 55 |; 18 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 37 ( 31 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f69,plain,
$false,
inference(avatar_sat_refutation,[],[f50,f53,f59,f68]) ).
fof(f68,plain,
( ~ spl2_1
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f67,f47,f39]) ).
fof(f39,plain,
( spl2_1
<=> dive(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f47,plain,
( spl2_3
<=> dci = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f67,plain,
( ~ dive(sK0)
| ~ spl2_3 ),
inference(resolution,[],[f66,f61]) ).
fof(f61,plain,
( outcome(sK0,dci)
| ~ spl2_3 ),
inference(backward_demodulation,[],[f30,f49]) ).
fof(f49,plain,
( dci = sK1
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f30,plain,
outcome(sK0,sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( outcome(sK0,sK1)
& bad(sK1)
& dive(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f15,f19,f18]) ).
fof(f18,plain,
( ? [X0] :
( ? [X1] :
( outcome(X0,X1)
& bad(X1) )
& dive(X0) )
=> ( ? [X1] :
( outcome(sK0,X1)
& bad(X1) )
& dive(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ? [X1] :
( outcome(sK0,X1)
& bad(X1) )
=> ( outcome(sK0,sK1)
& bad(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
? [X0] :
( ? [X1] :
( outcome(X0,X1)
& bad(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(f66,plain,
! [X0] :
( ~ outcome(X0,dci)
| ~ dive(X0) ),
inference(duplicate_literal_removal,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ dive(X0)
| ~ dive(X0)
| ~ outcome(X0,dci) ),
inference(resolution,[],[f64,f31]) ).
fof(f31,plain,
! [X0] :
( greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0)
| ~ outcome(X0,dci) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ( ( outcome(X0,dci)
| ~ greater(nitrogen(X0),nitrogen_limit) )
& ( greater(nitrogen(X0),nitrogen_limit)
| ~ outcome(X0,dci) ) )
| ~ dive(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ( outcome(X0,dci)
<=> greater(nitrogen(X0),nitrogen_limit) )
| ~ dive(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( dive(X0)
=> ( outcome(X0,dci)
<=> greater(nitrogen(X0),nitrogen_limit) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',too_much_nitrogen) ).
fof(f64,plain,
! [X0] :
( ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(duplicate_literal_removal,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0)
| ~ dive(X0) ),
inference(resolution,[],[f57,f34]) ).
fof(f34,plain,
! [X0] :
( ~ greater(depth(X0),depth_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ~ dive(X0)
| ( ~ greater(depth(X0),depth_limit)
& ~ greater(time(X0),time_limit) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( dive(X0)
=> ( ~ greater(depth(X0),depth_limit)
& ~ greater(time(X0),time_limit) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',no_deep_long) ).
fof(f57,plain,
! [X1] :
( greater(depth(X1),depth_limit)
| ~ greater(nitrogen(X1),nitrogen_limit)
| ~ dive(X1) ),
inference(duplicate_literal_removal,[],[f55]) ).
fof(f55,plain,
! [X1] :
( greater(depth(X1),depth_limit)
| ~ dive(X1)
| ~ greater(nitrogen(X1),nitrogen_limit)
| ~ dive(X1) ),
inference(resolution,[],[f26,f33]) ).
fof(f33,plain,
! [X0] :
( ~ greater(time(X0),time_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f26,plain,
! [X0] :
( greater(time(X0),time_limit)
| ~ greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0)
| greater(depth(X0),depth_limit) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ( ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ greater(nitrogen(X0),nitrogen_limit) )
& ( greater(nitrogen(X0),nitrogen_limit)
| ( ~ greater(depth(X0),depth_limit)
& ~ greater(time(X0),time_limit) ) ) )
| ~ dive(X0) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ( ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ greater(nitrogen(X0),nitrogen_limit) )
& ( greater(nitrogen(X0),nitrogen_limit)
| ( ~ greater(depth(X0),depth_limit)
& ~ greater(time(X0),time_limit) ) ) )
| ~ dive(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ( ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit) )
<=> greater(nitrogen(X0),nitrogen_limit) )
| ~ dive(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( dive(X0)
=> ( ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit) )
<=> greater(nitrogen(X0),nitrogen_limit) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
fof(f59,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f58]) ).
fof(f58,plain,
( $false
| spl2_2 ),
inference(resolution,[],[f45,f29]) ).
fof(f29,plain,
bad(sK1),
inference(cnf_transformation,[],[f20]) ).
fof(f45,plain,
( ~ bad(sK1)
| spl2_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl2_2
<=> bad(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f53,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f52,plain,
( $false
| spl2_1 ),
inference(resolution,[],[f41,f28]) ).
fof(f28,plain,
dive(sK0),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
( ~ dive(sK0)
| spl2_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f50,plain,
( ~ spl2_1
| ~ spl2_2
| spl2_3 ),
inference(avatar_split_clause,[],[f37,f47,f43,f39]) ).
fof(f37,plain,
( dci = sK1
| ~ bad(sK1)
| ~ dive(sK0) ),
inference(resolution,[],[f22,f30]) ).
fof(f22,plain,
! [X0,X1] :
( ~ outcome(X0,X1)
| ~ dive(X0)
| ~ bad(X1)
| dci = X1 ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ~ dive(X0)
| ! [X1] :
( ~ bad(X1)
| ~ outcome(X0,X1)
| dci = X1 ) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ! [X1] :
( dci = X1
| ~ outcome(X0,X1)
| ~ bad(X1) )
| ~ dive(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( dive(X0)
=> ! [X1] :
( ( outcome(X0,X1)
& bad(X1) )
=> dci = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dci_is_the_only_bad_outcome) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MSC017+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 03:38:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.49 % (18503)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50 % (18519)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.50 % (18502)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (18503)First to succeed.
% 0.20/0.50 % (18500)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (18500)Also succeeded, but the first one will report.
% 0.20/0.51 % (18503)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (18503)------------------------------
% 0.20/0.51 % (18503)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (18503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (18503)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (18503)Memory used [KB]: 5373
% 0.20/0.51 % (18503)Time elapsed: 0.105 s
% 0.20/0.51 % (18503)Instructions burned: 2 (million)
% 0.20/0.51 % (18503)------------------------------
% 0.20/0.51 % (18503)------------------------------
% 0.20/0.51 % (18492)Success in time 0.156 s
%------------------------------------------------------------------------------