TSTP Solution File: MGT064-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT064-1 : 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 : n010.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 07:59:22 EDT 2024
% Result : Unsatisfiable 2.54s 0.70s
% Output : Refutation 2.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 30
% Syntax : Number of formulae : 81 ( 37 unt; 0 def)
% Number of atoms : 162 ( 38 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 157 ( 76 ~; 81 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11588,plain,
$false,
inference(subsumption_resolution,[],[f11584,f69]) ).
fof(f69,plain,
smaller(low,mod1),
inference(unit_resulting_resolution,[],[f42,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_8) ).
fof(f42,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b_69) ).
fof(f11584,plain,
~ smaller(low,mod1),
inference(superposition,[],[f11318,f11528]) ).
fof(f11528,plain,
low = hazard_of_mortality(sk3,sk6),
inference(subsumption_resolution,[],[f11519,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
fof(f11519,plain,
( greater(sigma,sigma)
| low = hazard_of_mortality(sk3,sk6) ),
inference(superposition,[],[f9613,f11334]) ).
fof(f11334,plain,
sigma = age(sk3,sk6),
inference(subsumption_resolution,[],[f11333,f69]) ).
fof(f11333,plain,
( ~ smaller(low,mod1)
| sigma = age(sk3,sk6) ),
inference(superposition,[],[f11318,f9614]) ).
fof(f9614,plain,
( low = hazard_of_mortality(sk3,sk6)
| sigma = age(sk3,sk6) ),
inference(resolution,[],[f9613,f5815]) ).
fof(f5815,plain,
( ~ greater(age(sk3,sk6),sigma)
| sigma = age(sk3,sk6) ),
inference(resolution,[],[f5798,f9]) ).
fof(f5798,plain,
( greater(sigma,age(sk3,sk6))
| sigma = age(sk3,sk6) ),
inference(resolution,[],[f187,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_7) ).
fof(f187,plain,
( smaller(age(sk3,sk6),sigma)
| sigma = age(sk3,sk6) ),
inference(resolution,[],[f1,f56]) ).
fof(f56,axiom,
smaller_or_equal(age(sk3,sk6),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10_83) ).
fof(f1,axiom,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
fof(f9613,plain,
( greater(age(sk3,sk6),sigma)
| low = hazard_of_mortality(sk3,sk6) ),
inference(resolution,[],[f9612,f9391]) ).
fof(f9391,plain,
! [X0] :
( is_aligned(sk3,X0)
| greater(age(sk3,X0),sigma) ),
inference(subsumption_resolution,[],[f9390,f50]) ).
fof(f50,axiom,
zero = age(sk3,sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10_77) ).
fof(f9390,plain,
! [X0] :
( zero != age(sk3,sk4)
| greater(age(sk3,X0),sigma)
| is_aligned(sk3,X0) ),
inference(subsumption_resolution,[],[f9386,f47]) ).
fof(f47,axiom,
organization(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10_74) ).
fof(f9386,plain,
! [X0] :
( ~ organization(sk3)
| zero != age(sk3,sk4)
| greater(age(sk3,X0),sigma)
| is_aligned(sk3,X0) ),
inference(resolution,[],[f29,f6426]) ).
fof(f6426,plain,
! [X0] :
( dissimilar(sk3,sk4,X0)
| is_aligned(sk3,X0) ),
inference(subsumption_resolution,[],[f6425,f47]) ).
fof(f6425,plain,
! [X0] :
( ~ organization(sk3)
| is_aligned(sk3,X0)
| dissimilar(sk3,sk4,X0) ),
inference(resolution,[],[f24,f1529]) ).
fof(f1529,plain,
is_aligned(sk3,sk4),
inference(unit_resulting_resolution,[],[f47,f50,f27]) ).
fof(f27,axiom,
! [X0,X1] :
( ~ organization(X0)
| is_aligned(X0,X1)
| age(X0,X1) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13_54) ).
fof(f24,axiom,
! [X2,X0,X1] :
( ~ is_aligned(X0,X1)
| ~ organization(X0)
| is_aligned(X0,X2)
| dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_51) ).
fof(f29,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ organization(X0)
| age(X0,X1) != zero
| greater(age(X0,X2),sigma) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_56) ).
fof(f9612,plain,
( ~ is_aligned(sk3,sk6)
| low = hazard_of_mortality(sk3,sk6) ),
inference(subsumption_resolution,[],[f9611,f184]) ).
fof(f184,plain,
! [X0] : ~ has_immunity(sk3,X0),
inference(unit_resulting_resolution,[],[f47,f49,f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1_46) ).
fof(f49,axiom,
~ has_endowment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10_76) ).
fof(f9611,plain,
( ~ is_aligned(sk3,sk6)
| has_immunity(sk3,sk6)
| low = hazard_of_mortality(sk3,sk6) ),
inference(subsumption_resolution,[],[f9608,f47]) ).
fof(f9608,plain,
( ~ organization(sk3)
| ~ is_aligned(sk3,sk6)
| has_immunity(sk3,sk6)
| low = hazard_of_mortality(sk3,sk6) ),
inference(resolution,[],[f37,f3184]) ).
fof(f3184,plain,
positional_advantage(sk3,sk6),
inference(unit_resulting_resolution,[],[f48,f55,f31]) ).
fof(f31,axiom,
! [X0,X1] :
( ~ greater(age(X0,X1),tau)
| positional_advantage(X0,X1)
| ~ robust_position(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_58) ).
fof(f55,axiom,
greater(age(sk3,sk6),tau),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10_82) ).
fof(f48,axiom,
robust_position(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10_75) ).
fof(f37,axiom,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = low ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_64) ).
fof(f11318,plain,
~ smaller(hazard_of_mortality(sk3,sk6),mod1),
inference(forward_demodulation,[],[f11317,f9846]) ).
fof(f9846,plain,
mod1 = hazard_of_mortality(sk3,sk7),
inference(unit_resulting_resolution,[],[f3185,f9082,f184,f47,f38]) ).
fof(f38,axiom,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| ~ organization(X0)
| has_immunity(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_65) ).
fof(f9082,plain,
~ is_aligned(sk3,sk7),
inference(unit_resulting_resolution,[],[f1529,f9064,f22]) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_49) ).
fof(f9064,plain,
dissimilar(sk3,sk4,sk7),
inference(unit_resulting_resolution,[],[f47,f50,f57,f28]) ).
fof(f28,axiom,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_55) ).
fof(f57,axiom,
greater(age(sk3,sk7),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10_84) ).
fof(f3185,plain,
positional_advantage(sk3,sk7),
inference(unit_resulting_resolution,[],[f48,f213,f31]) ).
fof(f213,plain,
greater(age(sk3,sk7),tau),
inference(unit_resulting_resolution,[],[f53,f57,f10]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
fof(f53,axiom,
greater(sigma,tau),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10_80) ).
fof(f11317,plain,
~ smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7)),
inference(subsumption_resolution,[],[f11316,f10618]) ).
fof(f10618,plain,
mod2 = hazard_of_mortality(sk3,sk5),
inference(unit_resulting_resolution,[],[f9394,f184,f1895,f47,f39]) ).
fof(f39,axiom,
! [X0,X1] :
( ~ is_aligned(X0,X1)
| ~ organization(X0)
| positional_advantage(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_66) ).
fof(f1895,plain,
~ positional_advantage(sk3,sk5),
inference(unit_resulting_resolution,[],[f48,f54,f30]) ).
fof(f30,axiom,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| ~ robust_position(X0)
| ~ smaller_or_equal(age(X0,X1),tau) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4_57) ).
fof(f54,axiom,
smaller_or_equal(age(sk3,sk5),tau),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10_81) ).
fof(f9394,plain,
is_aligned(sk3,sk5),
inference(unit_resulting_resolution,[],[f47,f1529,f9385,f24]) ).
fof(f9385,plain,
~ dissimilar(sk3,sk4,sk5),
inference(unit_resulting_resolution,[],[f47,f3197,f50,f29]) ).
fof(f3197,plain,
~ greater(age(sk3,sk5),sigma),
inference(unit_resulting_resolution,[],[f53,f3183,f10]) ).
fof(f3183,plain,
~ greater(age(sk3,sk5),tau),
inference(unit_resulting_resolution,[],[f48,f1895,f31]) ).
fof(f11316,plain,
( mod2 != hazard_of_mortality(sk3,sk5)
| ~ smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7)) ),
inference(forward_demodulation,[],[f11315,f10635]) ).
fof(f10635,plain,
mod2 = hazard_of_mortality(sk3,sk4),
inference(subsumption_resolution,[],[f10634,f90]) ).
fof(f90,plain,
smaller_or_equal(zero,tau),
inference(unit_resulting_resolution,[],[f64,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
fof(f64,plain,
smaller(zero,tau),
inference(unit_resulting_resolution,[],[f52,f8]) ).
fof(f52,axiom,
greater(tau,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10_79) ).
fof(f10634,plain,
( ~ smaller_or_equal(zero,tau)
| mod2 = hazard_of_mortality(sk3,sk4) ),
inference(forward_demodulation,[],[f10633,f50]) ).
fof(f10633,plain,
( mod2 = hazard_of_mortality(sk3,sk4)
| ~ smaller_or_equal(age(sk3,sk4),tau) ),
inference(subsumption_resolution,[],[f10629,f48]) ).
fof(f10629,plain,
( mod2 = hazard_of_mortality(sk3,sk4)
| ~ robust_position(sk3)
| ~ smaller_or_equal(age(sk3,sk4),tau) ),
inference(resolution,[],[f10626,f30]) ).
fof(f10626,plain,
( positional_advantage(sk3,sk4)
| mod2 = hazard_of_mortality(sk3,sk4) ),
inference(subsumption_resolution,[],[f10625,f184]) ).
fof(f10625,plain,
( positional_advantage(sk3,sk4)
| has_immunity(sk3,sk4)
| mod2 = hazard_of_mortality(sk3,sk4) ),
inference(subsumption_resolution,[],[f10620,f47]) ).
fof(f10620,plain,
( ~ organization(sk3)
| positional_advantage(sk3,sk4)
| has_immunity(sk3,sk4)
| mod2 = hazard_of_mortality(sk3,sk4) ),
inference(resolution,[],[f39,f1529]) ).
fof(f11315,plain,
( hazard_of_mortality(sk3,sk5) != hazard_of_mortality(sk3,sk4)
| ~ smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7)) ),
inference(subsumption_resolution,[],[f11314,f72]) ).
fof(f72,plain,
smaller(mod1,mod2),
inference(unit_resulting_resolution,[],[f46,f8]) ).
fof(f46,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_19_73) ).
fof(f11314,plain,
( ~ smaller(mod1,mod2)
| hazard_of_mortality(sk3,sk5) != hazard_of_mortality(sk3,sk4)
| ~ smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7)) ),
inference(forward_demodulation,[],[f11289,f10635]) ).
fof(f11289,plain,
( ~ smaller(mod1,hazard_of_mortality(sk3,sk4))
| hazard_of_mortality(sk3,sk5) != hazard_of_mortality(sk3,sk4)
| ~ smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7)) ),
inference(superposition,[],[f61,f9846]) ).
fof(f61,plain,
( ~ smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk4))
| hazard_of_mortality(sk3,sk5) != hazard_of_mortality(sk3,sk4)
| ~ smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7)) ),
inference(inner_rewriting,[],[f58]) ).
fof(f58,axiom,
( hazard_of_mortality(sk3,sk5) != hazard_of_mortality(sk3,sk4)
| ~ smaller(hazard_of_mortality(sk3,sk7),hazard_of_mortality(sk3,sk5))
| ~ smaller(hazard_of_mortality(sk3,sk6),hazard_of_mortality(sk3,sk7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10_85) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT064-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.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 20:04:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (32127)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (32130)WARNING: value z3 for option sas not known
% 0.14/0.38 % (32131)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (32129)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (32128)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (32132)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)
% 0.14/0.38 % (32130)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)
% 0.14/0.38 % (32133)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)
% 0.14/0.38 % (32134)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [5]
% 0.22/0.40 TRYING [3]
% 0.22/0.41 TRYING [6]
% 0.22/0.44 TRYING [4]
% 0.22/0.45 TRYING [7]
% 0.22/0.49 TRYING [8]
% 0.22/0.50 TRYING [5]
% 0.22/0.52 TRYING [9]
% 0.22/0.56 TRYING [10]
% 0.22/0.59 TRYING [11]
% 2.07/0.64 TRYING [12]
% 2.07/0.69 TRYING [13]
% 2.54/0.70 % (32134)First to succeed.
% 2.54/0.70 % (32134)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-32127"
% 2.54/0.70 % (32134)Refutation found. Thanks to Tanya!
% 2.54/0.70 % SZS status Unsatisfiable for theBenchmark
% 2.54/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.54/0.71 % (32134)------------------------------
% 2.54/0.71 % (32134)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.54/0.71 % (32134)Termination reason: Refutation
% 2.54/0.71
% 2.54/0.71 % (32134)Memory used [KB]: 2390
% 2.54/0.71 % (32134)Time elapsed: 0.329 s
% 2.54/0.71 % (32134)Instructions burned: 1114 (million)
% 2.54/0.71 % (32127)Success in time 0.334 s
%------------------------------------------------------------------------------