TSTP Solution File: MSC017+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MSC017+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Tue May 21 00:52:41 EDT 2024
% Result : Theorem 0.17s 0.42s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 12 unt; 0 def)
% Number of atoms : 115 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 122 ( 48 ~; 38 |; 19 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-1 aty)
% Number of variables : 37 ( 31 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f60,plain,
$false,
inference(subsumption_resolution,[],[f58,f54]) ).
fof(f54,plain,
~ outcome(sK2,dci),
inference(unit_resulting_resolution,[],[f26,f50,f34]) ).
fof(f34,plain,
! [X0] :
( ~ outcome(X0,dci)
| greater(nitrogen(X0),nitrogen_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,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/sandbox/benchmark/theBenchmark.p',too_much_nitrogen) ).
fof(f50,plain,
~ greater(nitrogen(sK2),nitrogen_limit),
inference(unit_resulting_resolution,[],[f42,f49,f36]) ).
fof(f36,plain,
! [X0] :
( ~ greater(nitrogen(X0),nitrogen_limit)
| sP0(X0)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( ( sP0(X0)
| ~ greater(nitrogen(X0),nitrogen_limit) )
& ( greater(nitrogen(X0),nitrogen_limit)
| ~ sP0(X0) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ( sP0(X0)
<=> greater(nitrogen(X0),nitrogen_limit) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f49,plain,
~ sP0(sK2),
inference(unit_resulting_resolution,[],[f45,f44,f37]) ).
fof(f37,plain,
! [X0] :
( ~ sP0(X0)
| greater(depth(X0),depth_limit)
| greater(time(X0),time_limit) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ( sP0(X0)
| ( ~ greater(time(X0),time_limit)
& ~ greater(depth(X0),depth_limit) ) )
& ( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit)
| ~ sP0(X0) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ( sP0(X0)
| ( ~ greater(time(X0),time_limit)
& ~ greater(depth(X0),depth_limit) ) )
& ( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit)
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( sP0(X0)
<=> ( greater(time(X0),time_limit)
| greater(depth(X0),depth_limit) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f44,plain,
~ greater(depth(sK2),depth_limit),
inference(unit_resulting_resolution,[],[f26,f31]) ).
fof(f31,plain,
! [X0] :
( ~ greater(depth(X0),depth_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/sandbox/benchmark/theBenchmark.p',no_deep_long) ).
fof(f45,plain,
~ greater(time(sK2),time_limit),
inference(unit_resulting_resolution,[],[f26,f32]) ).
fof(f32,plain,
! [X0] :
( ~ greater(time(X0),time_limit)
| ~ dive(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f42,plain,
sP1(sK2),
inference(unit_resulting_resolution,[],[f26,f40]) ).
fof(f40,plain,
! [X0] :
( ~ dive(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( sP1(X0)
| ~ dive(X0) ),
inference(definition_folding,[],[f13,f17,f16]) ).
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/sandbox/benchmark/theBenchmark.p',depth_and_time_and_nitrogen) ).
fof(f26,plain,
dive(sK2),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( bad(sK3)
& outcome(sK2,sK3)
& dive(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f9,f20,f19]) ).
fof(f19,plain,
( ? [X0] :
( ? [X1] :
( bad(X1)
& outcome(X0,X1) )
& dive(X0) )
=> ( ? [X1] :
( bad(X1)
& outcome(sK2,X1) )
& dive(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
( ? [X1] :
( bad(X1)
& outcome(sK2,X1) )
=> ( bad(sK3)
& outcome(sK2,sK3) ) ),
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/sandbox/benchmark/theBenchmark.p',no_bad) ).
fof(f58,plain,
outcome(sK2,dci),
inference(superposition,[],[f27,f56]) ).
fof(f56,plain,
dci = sK3,
inference(unit_resulting_resolution,[],[f26,f27,f28,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ outcome(X0,X1)
| ~ bad(X1)
| dci = 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/sandbox/benchmark/theBenchmark.p',dci_is_the_only_bad_outcome) ).
fof(f28,plain,
bad(sK3),
inference(cnf_transformation,[],[f21]) ).
fof(f27,plain,
outcome(sK2,sK3),
inference(cnf_transformation,[],[f21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.15 % Problem : MSC017+1 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.17 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.17/0.39 % Computer : n012.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.40 % CPULimit : 300
% 0.17/0.40 % WCLimit : 300
% 0.17/0.40 % DateTime : Sun May 19 23:00:23 EDT 2024
% 0.17/0.40 % CPUTime :
% 0.17/0.40 % (22608)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.42 % (22614)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)
% 0.17/0.42 % (22613)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)
% 0.17/0.42 % (22615)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)
% 0.17/0.42 % (22611)WARNING: value z3 for option sas not known
% 0.17/0.42 % (22609)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.42 % (22615)First to succeed.
% 0.17/0.42 % (22614)Also succeeded, but the first one will report.
% 0.17/0.42 % (22613)Also succeeded, but the first one will report.
% 0.17/0.42 % (22615)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22608"
% 0.17/0.42 % (22611)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)
% 0.17/0.42 TRYING [1]
% 0.17/0.42 TRYING [2]
% 0.17/0.42 % (22615)Refutation found. Thanks to Tanya!
% 0.17/0.42 % SZS status Theorem for theBenchmark
% 0.17/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.42 % (22615)------------------------------
% 0.17/0.42 % (22615)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.42 % (22615)Termination reason: Refutation
% 0.17/0.42
% 0.17/0.42 % (22615)Memory used [KB]: 746
% 0.17/0.42 % (22615)Time elapsed: 0.004 s
% 0.17/0.42 % (22615)Instructions burned: 4 (million)
% 0.17/0.42 % (22608)Success in time 0.018 s
%------------------------------------------------------------------------------