TSTP Solution File: MGT059+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n008.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 07:58:57 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 125 ( 38 equ)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 143 ( 40 ~; 36 |; 49 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 32 ( 23 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,plain,
$false,
inference(subsumption_resolution,[],[f53,f49]) ).
fof(f49,plain,
very_low = hazard_of_mortality(sK1,sK2),
inference(unit_resulting_resolution,[],[f27,f28,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| very_low = hazard_of_mortality(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( ( sP0(X1,X0)
| has_immunity(X0,X1) )
& ( very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(definition_folding,[],[f16,f21]) ).
fof(f21,plain,
! [X1,X0] :
( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f16,plain,
! [X0,X1] :
( ( ( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| has_immunity(X0,X1) )
& ( very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( ( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| has_immunity(X0,X1) )
& ( very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X1)
=> ( ( ( ~ positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> high = hazard_of_mortality(X0,X1) )
& ( ( ~ positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> mod2 = hazard_of_mortality(X0,X1) )
& ( ( positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> mod1 = hazard_of_mortality(X0,X1) )
& ( ( positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> low = hazard_of_mortality(X0,X1) ) ) )
& ( has_immunity(X0,X1)
=> very_low = hazard_of_mortality(X0,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X3)
=> ( ( ( ~ positional_advantage(X0,X3)
& ~ is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = high )
& ( ( ~ positional_advantage(X0,X3)
& is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod2 )
& ( ( positional_advantage(X0,X3)
& ~ is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod1 )
& ( ( positional_advantage(X0,X3)
& is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = low ) ) )
& ( has_immunity(X0,X3)
=> hazard_of_mortality(X0,X3) = very_low ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).
fof(f28,plain,
has_immunity(sK1,sK2),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( hazard_of_mortality(sK1,sK3) != hazard_of_mortality(sK1,sK2)
& has_immunity(sK1,sK3)
& has_immunity(sK1,sK2)
& organization(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f14,f23]) ).
fof(f23,plain,
( ? [X0,X1,X2] :
( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
& has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) )
=> ( hazard_of_mortality(sK1,sK3) != hazard_of_mortality(sK1,sK2)
& has_immunity(sK1,sK3)
& has_immunity(sK1,sK2)
& organization(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f14,plain,
? [X0,X1,X2] :
( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
& has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
? [X0,X1,X2] :
( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
& has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X0,X1,X2] :
( ( has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) )
=> hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X4,X3] :
( ( has_immunity(X0,X3)
& has_immunity(X0,X4)
& organization(X0) )
=> hazard_of_mortality(X0,X3) = hazard_of_mortality(X0,X4) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X4,X3] :
( ( has_immunity(X0,X3)
& has_immunity(X0,X4)
& organization(X0) )
=> hazard_of_mortality(X0,X3) = hazard_of_mortality(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2) ).
fof(f27,plain,
organization(sK1),
inference(cnf_transformation,[],[f24]) ).
fof(f53,plain,
very_low != hazard_of_mortality(sK1,sK2),
inference(superposition,[],[f30,f50]) ).
fof(f50,plain,
very_low = hazard_of_mortality(sK1,sK3),
inference(unit_resulting_resolution,[],[f27,f29,f36]) ).
fof(f29,plain,
has_immunity(sK1,sK3),
inference(cnf_transformation,[],[f24]) ).
fof(f30,plain,
hazard_of_mortality(sK1,sK3) != hazard_of_mortality(sK1,sK2),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT059+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n008.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:03:23 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % (12463)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (12466)WARNING: value z3 for option sas not known
% 0.15/0.39 % (12467)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (12465)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (12468)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)
% 0.15/0.39 % (12466)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)
% 0.15/0.39 % (12464)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (12469)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)
% 0.15/0.39 % (12470)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (12470)First to succeed.
% 0.15/0.39 % (12469)Also succeeded, but the first one will report.
% 0.15/0.39 % (12470)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12463"
% 0.15/0.39 TRYING [4]
% 0.15/0.39 % (12468)Also succeeded, but the first one will report.
% 0.15/0.39 % (12466)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (12470)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (12470)------------------------------
% 0.15/0.39 % (12470)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (12470)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (12470)Memory used [KB]: 775
% 0.15/0.39 % (12470)Time elapsed: 0.004 s
% 0.15/0.39 % (12470)Instructions burned: 4 (million)
% 0.15/0.39 % (12463)Success in time 0.02 s
%------------------------------------------------------------------------------