TSTP Solution File: MGT059-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT059-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n021.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 : Fri Sep 1 19:45:46 EDT 2023
% Result : Unsatisfiable 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 43
% Syntax : Number of formulae : 78 ( 25 unt; 0 def)
% Number of atoms : 194 ( 31 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 189 ( 73 ~; 93 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 24 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 72 (; 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f131,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f30,f35,f40,f44,f48,f52,f56,f60,f64,f68,f74,f78,f82,f86,f90,f98,f104,f109,f113,f117,f121,f128,f130]) ).
fof(f130,plain,
( ~ spl0_19
| spl0_4
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f129,f125,f37,f106]) ).
fof(f106,plain,
( spl0_19
<=> very_low = hazard_of_mortality(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f37,plain,
( spl0_4
<=> hazard_of_mortality(sk1,sk2) = hazard_of_mortality(sk1,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f125,plain,
( spl0_23
<=> very_low = hazard_of_mortality(sk1,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f129,plain,
( very_low != hazard_of_mortality(sk1,sk2)
| spl0_4
| ~ spl0_23 ),
inference(superposition,[],[f39,f127]) ).
fof(f127,plain,
( very_low = hazard_of_mortality(sk1,sk3)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f39,plain,
( hazard_of_mortality(sk1,sk2) != hazard_of_mortality(sk1,sk3)
| spl0_4 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f128,plain,
( spl0_23
| ~ spl0_1
| ~ spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f100,f96,f32,f22,f125]) ).
fof(f22,plain,
( spl0_1
<=> organization(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f32,plain,
( spl0_3
<=> has_immunity(sk1,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f96,plain,
( spl0_17
<=> ! [X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f100,plain,
( ~ organization(sk1)
| very_low = hazard_of_mortality(sk1,sk3)
| ~ spl0_3
| ~ spl0_17 ),
inference(resolution,[],[f97,f34]) ).
fof(f34,plain,
( has_immunity(sk1,sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f97,plain,
( ! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = very_low )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f121,plain,
spl0_22,
inference(avatar_split_clause,[],[f16,f119]) ).
fof(f119,plain,
( spl0_22
<=> ! [X0,X1] :
( ~ organization(X0)
| positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = high ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ organization(X0)
| positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = high ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',assumption_17_36) ).
fof(f117,plain,
spl0_21,
inference(avatar_split_clause,[],[f15,f115]) ).
fof(f115,plain,
( spl0_21
<=> ! [X0,X1] :
( ~ organization(X0)
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f15,axiom,
! [X0,X1] :
( ~ organization(X0)
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',assumption_17_35) ).
fof(f113,plain,
spl0_20,
inference(avatar_split_clause,[],[f14,f111]) ).
fof(f111,plain,
( spl0_20
<=> ! [X0,X1] :
( ~ organization(X0)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = mod1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ organization(X0)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = mod1 ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',assumption_17_34) ).
fof(f109,plain,
( spl0_19
| ~ spl0_1
| ~ spl0_2
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f99,f96,f27,f22,f106]) ).
fof(f27,plain,
( spl0_2
<=> has_immunity(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f99,plain,
( ~ organization(sk1)
| very_low = hazard_of_mortality(sk1,sk2)
| ~ spl0_2
| ~ spl0_17 ),
inference(resolution,[],[f97,f29]) ).
fof(f29,plain,
( has_immunity(sk1,sk2)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f104,plain,
spl0_18,
inference(avatar_split_clause,[],[f13,f102]) ).
fof(f102,plain,
( spl0_18
<=> ! [X0,X1] :
( ~ organization(X0)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = low ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ organization(X0)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = low ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',assumption_17_33) ).
fof(f98,plain,
spl0_17,
inference(avatar_split_clause,[],[f12,f96]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',assumption_17_32) ).
fof(f90,plain,
spl0_16,
inference(avatar_split_clause,[],[f11,f88]) ).
fof(f88,plain,
( spl0_16
<=> ! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f11,axiom,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| greater(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',meaning_postulate_greater_comparable_11) ).
fof(f86,plain,
spl0_15,
inference(avatar_split_clause,[],[f10,f84]) ).
fof(f84,plain,
( spl0_15
<=> ! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',meaning_postulate_greater_transitive_10) ).
fof(f82,plain,
spl0_14,
inference(avatar_split_clause,[],[f4,f80]) ).
fof(f80,plain,
( spl0_14
<=> ! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',definition_greater_or_equal_4) ).
fof(f78,plain,
( spl0_13
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f69,f46,f76]) ).
fof(f76,plain,
( spl0_13
<=> ! [X0] : smaller_or_equal(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f46,plain,
( spl0_6
<=> ! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f69,plain,
( ! [X0] : smaller_or_equal(X0,X0)
| ~ spl0_6 ),
inference(equality_resolution,[],[f47]) ).
fof(f47,plain,
( ! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f74,plain,
spl0_12,
inference(avatar_split_clause,[],[f1,f72]) ).
fof(f72,plain,
( spl0_12
<=> ! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',definition_smaller_or_equal_1) ).
fof(f68,plain,
spl0_11,
inference(avatar_split_clause,[],[f9,f66]) ).
fof(f66,plain,
( spl0_11
<=> ! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',meaning_postulate_greater_strict_9) ).
fof(f64,plain,
spl0_10,
inference(avatar_split_clause,[],[f8,f62]) ).
fof(f62,plain,
( spl0_10
<=> ! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',definition_smaller_8) ).
fof(f60,plain,
spl0_9,
inference(avatar_split_clause,[],[f7,f58]) ).
fof(f58,plain,
( spl0_9
<=> ! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',definition_smaller_7) ).
fof(f56,plain,
spl0_8,
inference(avatar_split_clause,[],[f6,f54]) ).
fof(f54,plain,
( spl0_8
<=> ! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',definition_greater_or_equal_6) ).
fof(f52,plain,
spl0_7,
inference(avatar_split_clause,[],[f5,f50]) ).
fof(f50,plain,
( spl0_7
<=> ! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',definition_greater_or_equal_5) ).
fof(f48,plain,
spl0_6,
inference(avatar_split_clause,[],[f3,f46]) ).
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',definition_smaller_or_equal_3) ).
fof(f44,plain,
spl0_5,
inference(avatar_split_clause,[],[f2,f42]) ).
fof(f42,plain,
( spl0_5
<=> ! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',definition_smaller_or_equal_2) ).
fof(f40,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f20,f37]) ).
fof(f20,axiom,
hazard_of_mortality(sk1,sk2) != hazard_of_mortality(sk1,sk3),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',assumption_2_40) ).
fof(f35,plain,
spl0_3,
inference(avatar_split_clause,[],[f19,f32]) ).
fof(f19,axiom,
has_immunity(sk1,sk3),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',assumption_2_39) ).
fof(f30,plain,
spl0_2,
inference(avatar_split_clause,[],[f18,f27]) ).
fof(f18,axiom,
has_immunity(sk1,sk2),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',assumption_2_38) ).
fof(f25,plain,
spl0_1,
inference(avatar_split_clause,[],[f17,f22]) ).
fof(f17,axiom,
organization(sk1),
file('/export/starexec/sandbox/tmp/tmp.9FzB9UYpB1/Vampire---4.8_17821',assumption_2_37) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT059-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n021.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 : Wed Aug 30 17:01:00 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.41 % (17927)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (17928)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (17932)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 Vampire---4 for (531ds/0Mi)
% 0.22/0.42 % (17929)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (17930)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 Vampire---4 for (569ds/0Mi)
% 0.22/0.42 % (17931)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (17933)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 Vampire---4 for (522ds/0Mi)
% 0.22/0.42 % (17934)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 Vampire---4 for (497ds/0Mi)
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 % (17932)First to succeed.
% 0.22/0.42 TRYING [4]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 % (17934)Also succeeded, but the first one will report.
% 0.22/0.42 TRYING [5]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 % (17933)Also succeeded, but the first one will report.
% 0.22/0.42 % (17932)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (17932)------------------------------
% 0.22/0.43 % (17932)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (17932)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (17932)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (17932)Memory used [KB]: 5373
% 0.22/0.43 % (17932)Time elapsed: 0.006 s
% 0.22/0.43 % (17932)------------------------------
% 0.22/0.43 % (17932)------------------------------
% 0.22/0.43 % (17927)Success in time 0.063 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------