TSTP Solution File: MSC017+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n014.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 17:52:09 EDT 2022
% Result : Theorem 0.22s 0.54s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 114 ( 5 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 118 ( 45 ~; 38 |; 18 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 31 ( 25 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f75,plain,
$false,
inference(avatar_sat_refutation,[],[f59,f60,f74]) ).
fof(f74,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f73,plain,
( $false
| spl2_1 ),
inference(subsumption_resolution,[],[f65,f50]) ).
fof(f50,plain,
( ~ greater(nitrogen(sK0),nitrogen_limit)
| spl2_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl2_1
<=> greater(nitrogen(sK0),nitrogen_limit) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f65,plain,
greater(nitrogen(sK0),nitrogen_limit),
inference(unit_resulting_resolution,[],[f24,f63,f34]) ).
fof(f34,plain,
! [X0] :
( greater(nitrogen(X0),nitrogen_limit)
| ~ outcome(X0,dci)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ( ( greater(nitrogen(X0),nitrogen_limit)
| ~ outcome(X0,dci) )
& ( outcome(X0,dci)
| ~ greater(nitrogen(X0),nitrogen_limit) ) )
| ~ dive(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,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(f63,plain,
outcome(sK0,dci),
inference(backward_demodulation,[],[f22,f61]) ).
fof(f61,plain,
dci = sK1,
inference(unit_resulting_resolution,[],[f24,f23,f22,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ outcome(X0,X1)
| dci = X1
| ~ bad(X1)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ~ dive(X0)
| ! [X1] :
( ~ bad(X1)
| ~ outcome(X0,X1)
| dci = X1 ) ),
inference(flattening,[],[f9]) ).
fof(f9,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) ).
fof(f23,plain,
bad(sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( dive(sK0)
& bad(sK1)
& outcome(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f12,f17,f16]) ).
fof(f16,plain,
( ? [X0] :
( dive(X0)
& ? [X1] :
( bad(X1)
& outcome(X0,X1) ) )
=> ( dive(sK0)
& ? [X1] :
( bad(X1)
& outcome(sK0,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
( ? [X1] :
( bad(X1)
& outcome(sK0,X1) )
=> ( bad(sK1)
& outcome(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
? [X0] :
( dive(X0)
& ? [X1] :
( bad(X1)
& outcome(X0,X1) ) ),
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(f22,plain,
outcome(sK0,sK1),
inference(cnf_transformation,[],[f18]) ).
fof(f24,plain,
dive(sK0),
inference(cnf_transformation,[],[f18]) ).
fof(f60,plain,
~ spl2_2,
inference(avatar_split_clause,[],[f38,f53]) ).
fof(f53,plain,
( spl2_2
<=> greater(depth(sK0),depth_limit) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f38,plain,
~ greater(depth(sK0),depth_limit),
inference(unit_resulting_resolution,[],[f24,f32]) ).
fof(f32,plain,
! [X0] :
( ~ dive(X0)
| ~ greater(depth(X0),depth_limit) ),
inference(cnf_transformation,[],[f13]) ).
fof(f13,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(f59,plain,
( spl2_2
| ~ spl2_1 ),
inference(avatar_split_clause,[],[f58,f49,f53]) ).
fof(f58,plain,
( ~ greater(nitrogen(sK0),nitrogen_limit)
| greater(depth(sK0),depth_limit) ),
inference(subsumption_resolution,[],[f41,f37]) ).
fof(f37,plain,
~ greater(time(sK0),time_limit),
inference(unit_resulting_resolution,[],[f24,f31]) ).
fof(f31,plain,
! [X0] :
( ~ greater(time(X0),time_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f41,plain,
( greater(time(sK0),time_limit)
| ~ greater(nitrogen(sK0),nitrogen_limit)
| greater(depth(sK0),depth_limit) ),
inference(resolution,[],[f24,f27]) ).
fof(f27,plain,
! [X0] :
( greater(time(X0),time_limit)
| ~ dive(X0)
| ~ greater(nitrogen(X0),nitrogen_limit)
| greater(depth(X0),depth_limit) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ~ dive(X0)
| ( ( greater(nitrogen(X0),nitrogen_limit)
| ( ~ greater(depth(X0),depth_limit)
& ~ greater(time(X0),time_limit) ) )
& ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ greater(nitrogen(X0),nitrogen_limit) ) ) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ~ dive(X0)
| ( ( greater(nitrogen(X0),nitrogen_limit)
| ( ~ greater(depth(X0),depth_limit)
& ~ greater(time(X0),time_limit) ) )
& ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit)
| ~ greater(nitrogen(X0),nitrogen_limit) ) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ~ dive(X0)
| ( greater(nitrogen(X0),nitrogen_limit)
<=> ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( dive(X0)
=> ( greater(nitrogen(X0),nitrogen_limit)
<=> ( greater(depth(X0),depth_limit)
| greater(time(X0),time_limit) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MSC017+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n014.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 : Tue Aug 30 03:30:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.53 % (21841)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.22/0.53 % (21840)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.22/0.54 % (21857)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.22/0.54 % (21856)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.22/0.54 % (21849)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.22/0.54 % (21841)First to succeed.
% 0.22/0.54 % (21848)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.22/0.54 % (21848)Also succeeded, but the first one will report.
% 0.22/0.54 % (21840)Refutation not found, incomplete strategy% (21840)------------------------------
% 0.22/0.54 % (21840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (21840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (21840)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.54
% 0.22/0.54 % (21840)Memory used [KB]: 5884
% 0.22/0.54 % (21840)Time elapsed: 0.003 s
% 0.22/0.54 % (21840)Instructions burned: 1 (million)
% 0.22/0.54 % (21840)------------------------------
% 0.22/0.54 % (21840)------------------------------
% 0.22/0.54 % (21841)Refutation found. Thanks to Tanya!
% 0.22/0.54 % SZS status Theorem for theBenchmark
% 0.22/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.54 % (21841)------------------------------
% 0.22/0.54 % (21841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.54 % (21841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.54 % (21841)Termination reason: Refutation
% 0.22/0.54
% 0.22/0.54 % (21841)Memory used [KB]: 5884
% 0.22/0.54 % (21841)Time elapsed: 0.122 s
% 0.22/0.54 % (21841)Instructions burned: 2 (million)
% 0.22/0.54 % (21841)------------------------------
% 0.22/0.54 % (21841)------------------------------
% 0.22/0.54 % (21833)Success in time 0.182 s
%------------------------------------------------------------------------------