TSTP Solution File: MGT062-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT062-1 : 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 : n011.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 07:59:08 EDT 2024
% Result : Unsatisfiable 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 56
% Syntax : Number of formulae : 182 ( 30 unt; 0 def)
% Number of atoms : 418 ( 52 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 429 ( 193 ~; 207 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 41 ( 39 usr; 30 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1442,plain,
$false,
inference(avatar_sat_refutation,[],[f89,f98,f152,f163,f172,f279,f324,f343,f430,f444,f678,f686,f790,f1391,f1413,f1421,f1426,f1429,f1435,f1441]) ).
fof(f1441,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f1440]) ).
fof(f1440,plain,
( $false
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f1439,f35]) ).
fof(f35,axiom,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_62) ).
fof(f1439,plain,
( ~ organization(sk2)
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f1437,f37]) ).
fof(f37,axiom,
~ has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_64) ).
fof(f1437,plain,
( has_endowment(sk2)
| ~ organization(sk2)
| ~ spl0_29 ),
inference(resolution,[],[f1412,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_39) ).
fof(f1412,plain,
( has_immunity(sk2,sk4)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1410]) ).
fof(f1410,plain,
( spl0_29
<=> has_immunity(sk2,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1435,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[],[f1434]) ).
fof(f1434,plain,
( $false
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f1433,f35]) ).
fof(f1433,plain,
( ~ organization(sk2)
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f1431,f37]) ).
fof(f1431,plain,
( has_endowment(sk2)
| ~ organization(sk2)
| ~ spl0_27 ),
inference(resolution,[],[f1390,f12]) ).
fof(f1390,plain,
( has_immunity(sk2,sk5)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1388]) ).
fof(f1388,plain,
( spl0_27
<=> has_immunity(sk2,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1429,plain,
( spl0_20
| ~ spl0_21
| ~ spl0_26
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1428]) ).
fof(f1428,plain,
( $false
| spl0_20
| ~ spl0_21
| ~ spl0_26
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f1427,f53]) ).
fof(f53,plain,
smaller(mod1,mod2),
inference(resolution,[],[f8,f34]) ).
fof(f34,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19_61) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_8) ).
fof(f1427,plain,
( ~ smaller(mod1,mod2)
| spl0_20
| ~ spl0_21
| ~ spl0_26
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1424,f1386]) ).
fof(f1386,plain,
( mod1 = hazard_of_mortality(sk2,sk5)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1384,plain,
( spl0_26
<=> mod1 = hazard_of_mortality(sk2,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1424,plain,
( ~ smaller(hazard_of_mortality(sk2,sk5),mod2)
| spl0_20
| ~ spl0_21
| ~ spl0_28 ),
inference(superposition,[],[f439,f1422]) ).
fof(f1422,plain,
( mod2 = hazard_of_mortality(sk2,sk3)
| ~ spl0_21
| ~ spl0_28 ),
inference(forward_demodulation,[],[f442,f1408]) ).
fof(f1408,plain,
( mod2 = hazard_of_mortality(sk2,sk4)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f1406]) ).
fof(f1406,plain,
( spl0_28
<=> mod2 = hazard_of_mortality(sk2,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f442,plain,
( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f441,plain,
( spl0_21
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f439,plain,
( ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3))
| spl0_20 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl0_20
<=> smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1426,plain,
( spl0_20
| ~ spl0_21
| ~ spl0_26
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1425]) ).
fof(f1425,plain,
( $false
| spl0_20
| ~ spl0_21
| ~ spl0_26
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f1423,f53]) ).
fof(f1423,plain,
( ~ smaller(mod1,mod2)
| spl0_20
| ~ spl0_21
| ~ spl0_26
| ~ spl0_28 ),
inference(superposition,[],[f1392,f1422]) ).
fof(f1392,plain,
( ~ smaller(mod1,hazard_of_mortality(sk2,sk3))
| spl0_20
| ~ spl0_26 ),
inference(superposition,[],[f439,f1386]) ).
fof(f1421,plain,
( spl0_21
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1420]) ).
fof(f1420,plain,
( $false
| spl0_21
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f1419,f35]) ).
fof(f1419,plain,
( ~ organization(sk2)
| spl0_21
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f1417,f37]) ).
fof(f1417,plain,
( has_endowment(sk2)
| ~ organization(sk2)
| spl0_21
| ~ spl0_28 ),
inference(resolution,[],[f1415,f12]) ).
fof(f1415,plain,
( has_immunity(sk2,sk3)
| spl0_21
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f1404,f1414]) ).
fof(f1414,plain,
( mod2 != hazard_of_mortality(sk2,sk3)
| spl0_21
| ~ spl0_28 ),
inference(superposition,[],[f443,f1408]) ).
fof(f443,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| spl0_21 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f1404,plain,
( has_immunity(sk2,sk3)
| mod2 = hazard_of_mortality(sk2,sk3) ),
inference(subsumption_resolution,[],[f1403,f35]) ).
fof(f1403,plain,
( has_immunity(sk2,sk3)
| ~ organization(sk2)
| mod2 = hazard_of_mortality(sk2,sk3) ),
inference(subsumption_resolution,[],[f1396,f260]) ).
fof(f260,plain,
is_aligned(sk2,sk3),
inference(subsumption_resolution,[],[f259,f35]) ).
fof(f259,plain,
( is_aligned(sk2,sk3)
| ~ organization(sk2) ),
inference(trivial_inequality_removal,[],[f258]) ).
fof(f258,plain,
( zero != zero
| is_aligned(sk2,sk3)
| ~ organization(sk2) ),
inference(superposition,[],[f20,f38]) ).
fof(f38,axiom,
zero = age(sk2,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_65) ).
fof(f20,axiom,
! [X0,X1] :
( age(X0,X1) != zero
| is_aligned(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_47) ).
fof(f1396,plain,
( ~ is_aligned(sk2,sk3)
| has_immunity(sk2,sk3)
| ~ organization(sk2)
| mod2 = hazard_of_mortality(sk2,sk3) ),
inference(resolution,[],[f32,f315]) ).
fof(f315,plain,
~ positional_advantage(sk2,sk3),
inference(subsumption_resolution,[],[f314,f36]) ).
fof(f36,axiom,
robust_position(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_63) ).
fof(f314,plain,
( ~ robust_position(sk2)
| ~ positional_advantage(sk2,sk3) ),
inference(subsumption_resolution,[],[f312,f55]) ).
fof(f55,plain,
smaller_or_equal(zero,sigma),
inference(resolution,[],[f50,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_2) ).
fof(f50,plain,
smaller(zero,sigma),
inference(resolution,[],[f8,f39]) ).
fof(f39,axiom,
greater(sigma,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_66) ).
fof(f312,plain,
( ~ smaller_or_equal(zero,sigma)
| ~ robust_position(sk2)
| ~ positional_advantage(sk2,sk3) ),
inference(superposition,[],[f294,f38]) ).
fof(f294,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),sigma)
| ~ robust_position(X0)
| ~ positional_advantage(X0,X1) ),
inference(forward_demodulation,[],[f23,f41]) ).
fof(f41,axiom,
sigma = tau,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_68) ).
fof(f23,axiom,
! [X0,X1] :
( ~ robust_position(X0)
| ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4_50) ).
fof(f32,axiom,
! [X0,X1] :
( positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = mod2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17_59) ).
fof(f1413,plain,
( spl0_28
| spl0_29 ),
inference(avatar_split_clause,[],[f1402,f1410,f1406]) ).
fof(f1402,plain,
( has_immunity(sk2,sk4)
| mod2 = hazard_of_mortality(sk2,sk4) ),
inference(subsumption_resolution,[],[f1401,f35]) ).
fof(f1401,plain,
( has_immunity(sk2,sk4)
| ~ organization(sk2)
| mod2 = hazard_of_mortality(sk2,sk4) ),
inference(subsumption_resolution,[],[f1395,f1318]) ).
fof(f1318,plain,
is_aligned(sk2,sk4),
inference(resolution,[],[f1317,f313]) ).
fof(f313,plain,
~ positional_advantage(sk2,sk4),
inference(subsumption_resolution,[],[f310,f36]) ).
fof(f310,plain,
( ~ robust_position(sk2)
| ~ positional_advantage(sk2,sk4) ),
inference(resolution,[],[f294,f42]) ).
fof(f42,axiom,
smaller_or_equal(age(sk2,sk4),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_69) ).
fof(f1317,plain,
! [X0] :
( positional_advantage(sk2,X0)
| is_aligned(sk2,X0) ),
inference(subsumption_resolution,[],[f1316,f35]) ).
fof(f1316,plain,
! [X0] :
( positional_advantage(sk2,X0)
| is_aligned(sk2,X0)
| ~ organization(sk2) ),
inference(subsumption_resolution,[],[f1315,f260]) ).
fof(f1315,plain,
! [X0] :
( positional_advantage(sk2,X0)
| ~ is_aligned(sk2,sk3)
| is_aligned(sk2,X0)
| ~ organization(sk2) ),
inference(resolution,[],[f1305,f17]) ).
fof(f17,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_44) ).
fof(f1305,plain,
! [X0] :
( ~ dissimilar(sk2,sk3,X0)
| positional_advantage(sk2,X0) ),
inference(subsumption_resolution,[],[f1290,f36]) ).
fof(f1290,plain,
! [X0] :
( ~ dissimilar(sk2,sk3,X0)
| ~ robust_position(sk2)
| positional_advantage(sk2,X0) ),
inference(resolution,[],[f1288,f326]) ).
fof(f326,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),sigma)
| ~ robust_position(X0)
| positional_advantage(X0,X1) ),
inference(forward_demodulation,[],[f24,f41]) ).
fof(f24,axiom,
! [X0,X1] :
( ~ robust_position(X0)
| positional_advantage(X0,X1)
| ~ greater(age(X0,X1),tau) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4_51) ).
fof(f1288,plain,
! [X0] :
( greater(age(sk2,X0),sigma)
| ~ dissimilar(sk2,sk3,X0) ),
inference(subsumption_resolution,[],[f1287,f35]) ).
fof(f1287,plain,
! [X0] :
( ~ dissimilar(sk2,sk3,X0)
| ~ organization(sk2)
| greater(age(sk2,X0),sigma) ),
inference(trivial_inequality_removal,[],[f1286]) ).
fof(f1286,plain,
! [X0] :
( zero != zero
| ~ dissimilar(sk2,sk3,X0)
| ~ organization(sk2)
| greater(age(sk2,X0),sigma) ),
inference(superposition,[],[f22,f38]) ).
fof(f22,axiom,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| ~ organization(X0)
| greater(age(X0,X2),sigma) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_49) ).
fof(f1395,plain,
( ~ is_aligned(sk2,sk4)
| has_immunity(sk2,sk4)
| ~ organization(sk2)
| mod2 = hazard_of_mortality(sk2,sk4) ),
inference(resolution,[],[f32,f313]) ).
fof(f1391,plain,
( spl0_26
| spl0_27 ),
inference(avatar_split_clause,[],[f1381,f1388,f1384]) ).
fof(f1381,plain,
( has_immunity(sk2,sk5)
| mod1 = hazard_of_mortality(sk2,sk5) ),
inference(subsumption_resolution,[],[f1380,f1214]) ).
fof(f1214,plain,
~ is_aligned(sk2,sk5),
inference(subsumption_resolution,[],[f1212,f260]) ).
fof(f1212,plain,
( ~ is_aligned(sk2,sk3)
| ~ is_aligned(sk2,sk5) ),
inference(resolution,[],[f1211,f15]) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_42) ).
fof(f1211,plain,
dissimilar(sk2,sk3,sk5),
inference(trivial_inequality_removal,[],[f1210]) ).
fof(f1210,plain,
( zero != zero
| dissimilar(sk2,sk3,sk5) ),
inference(superposition,[],[f1207,f38]) ).
fof(f1207,plain,
! [X0] :
( zero != age(sk2,X0)
| dissimilar(sk2,X0,sk5) ),
inference(subsumption_resolution,[],[f1196,f35]) ).
fof(f1196,plain,
! [X0] :
( dissimilar(sk2,X0,sk5)
| zero != age(sk2,X0)
| ~ organization(sk2) ),
inference(resolution,[],[f21,f43]) ).
fof(f43,axiom,
greater(age(sk2,sk5),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_70) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_48) ).
fof(f1380,plain,
( has_immunity(sk2,sk5)
| is_aligned(sk2,sk5)
| mod1 = hazard_of_mortality(sk2,sk5) ),
inference(subsumption_resolution,[],[f1377,f35]) ).
fof(f1377,plain,
( ~ organization(sk2)
| has_immunity(sk2,sk5)
| is_aligned(sk2,sk5)
| mod1 = hazard_of_mortality(sk2,sk5) ),
inference(resolution,[],[f31,f331]) ).
fof(f331,plain,
positional_advantage(sk2,sk5),
inference(subsumption_resolution,[],[f327,f36]) ).
fof(f327,plain,
( ~ robust_position(sk2)
| positional_advantage(sk2,sk5) ),
inference(resolution,[],[f326,f43]) ).
fof(f31,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/sandbox2/benchmark/theBenchmark.p',assumption_17_58) ).
fof(f790,plain,
( spl0_24
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f395,f787,f783]) ).
fof(f783,plain,
( spl0_24
<=> greater(mod2,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f787,plain,
( spl0_25
<=> smaller(age(sk2,sk5),mod1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f395,plain,
( ~ smaller(age(sk2,sk5),mod1)
| greater(mod2,sigma) ),
inference(resolution,[],[f352,f102]) ).
fof(f102,plain,
! [X0] :
( ~ greater(X0,age(sk2,sk5))
| greater(X0,sigma) ),
inference(resolution,[],[f10,f43]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive_10) ).
fof(f352,plain,
! [X0] :
( greater(mod2,X0)
| ~ smaller(X0,mod1) ),
inference(resolution,[],[f99,f34]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| greater(X0,X2)
| ~ smaller(X2,X1) ),
inference(resolution,[],[f10,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_7) ).
fof(f686,plain,
( spl0_13
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f685,plain,
( $false
| spl0_13
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f684,f277]) ).
fof(f277,plain,
( ~ smaller(zero,mod2)
| spl0_13 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f276,plain,
( spl0_13
<=> smaller(zero,mod2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f684,plain,
( smaller(zero,mod2)
| ~ spl0_22 ),
inference(resolution,[],[f674,f8]) ).
fof(f674,plain,
( greater(mod2,zero)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f672,plain,
( spl0_22
<=> greater(mod2,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f678,plain,
( spl0_22
| spl0_23 ),
inference(avatar_split_clause,[],[f389,f676,f672]) ).
fof(f676,plain,
( spl0_23
<=> ! [X0] :
( ~ smaller(X0,mod1)
| ~ smaller(sigma,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f389,plain,
! [X0] :
( ~ smaller(X0,mod1)
| ~ smaller(sigma,X0)
| greater(mod2,zero) ),
inference(resolution,[],[f352,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ smaller(sigma,X0)
| greater(X1,zero) ),
inference(resolution,[],[f106,f10]) ).
fof(f106,plain,
! [X0] :
( greater(X0,zero)
| ~ smaller(sigma,X0) ),
inference(resolution,[],[f100,f7]) ).
fof(f100,plain,
! [X0] :
( ~ greater(X0,sigma)
| greater(X0,zero) ),
inference(resolution,[],[f10,f39]) ).
fof(f444,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f47,f441,f437]) ).
fof(f47,plain,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk3)) ),
inference(inner_rewriting,[],[f44]) ).
fof(f44,axiom,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_71) ).
fof(f430,plain,
( ~ spl0_18
| spl0_19
| spl0_13 ),
inference(avatar_split_clause,[],[f421,f276,f427,f423]) ).
fof(f423,plain,
( spl0_18
<=> smaller_or_equal(zero,mod1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f427,plain,
( spl0_19
<=> zero = mod1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f421,plain,
( zero = mod1
| ~ smaller_or_equal(zero,mod1)
| spl0_13 ),
inference(resolution,[],[f409,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal_1) ).
fof(f409,plain,
( ~ smaller(zero,mod1)
| spl0_13 ),
inference(resolution,[],[f393,f277]) ).
fof(f393,plain,
! [X0] :
( smaller(X0,mod2)
| ~ smaller(X0,mod1) ),
inference(resolution,[],[f352,f8]) ).
fof(f343,plain,
( ~ spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f111,f340,f336]) ).
fof(f336,plain,
( spl0_16
<=> smaller_or_equal(age(sk2,sk5),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f340,plain,
( spl0_17
<=> zero = age(sk2,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f111,plain,
( zero = age(sk2,sk5)
| ~ smaller_or_equal(age(sk2,sk5),zero) ),
inference(resolution,[],[f108,f1]) ).
fof(f108,plain,
~ smaller(age(sk2,sk5),zero),
inference(resolution,[],[f105,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ smaller(X0,X1) ),
inference(resolution,[],[f9,f7]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict_9) ).
fof(f105,plain,
greater(age(sk2,sk5),zero),
inference(resolution,[],[f100,f43]) ).
fof(f324,plain,
( ~ spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f78,f321,f317]) ).
fof(f317,plain,
( spl0_14
<=> smaller_or_equal(age(sk2,sk5),sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f321,plain,
( spl0_15
<=> sigma = age(sk2,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f78,plain,
( sigma = age(sk2,sk5)
| ~ smaller_or_equal(age(sk2,sk5),sigma) ),
inference(resolution,[],[f1,f66]) ).
fof(f66,plain,
~ smaller(age(sk2,sk5),sigma),
inference(resolution,[],[f61,f7]) ).
fof(f61,plain,
~ greater(sigma,age(sk2,sk5)),
inference(resolution,[],[f9,f43]) ).
fof(f279,plain,
( spl0_11
| spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f229,f276,f272,f268]) ).
fof(f268,plain,
( spl0_11
<=> smaller(mod1,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f272,plain,
( spl0_12
<=> sigma = mod2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f229,plain,
( smaller(zero,mod2)
| sigma = mod2
| smaller(mod1,sigma) ),
inference(resolution,[],[f190,f142]) ).
fof(f142,plain,
! [X0] :
( ~ smaller(mod2,X0)
| smaller(mod1,X0) ),
inference(resolution,[],[f138,f8]) ).
fof(f138,plain,
! [X0] :
( greater(X0,mod1)
| ~ smaller(mod2,X0) ),
inference(resolution,[],[f103,f7]) ).
fof(f103,plain,
! [X0] :
( ~ greater(X0,mod2)
| greater(X0,mod1) ),
inference(resolution,[],[f10,f34]) ).
fof(f190,plain,
! [X0] :
( smaller(zero,X0)
| smaller(X0,sigma)
| sigma = X0 ),
inference(resolution,[],[f125,f8]) ).
fof(f125,plain,
! [X0] :
( greater(X0,zero)
| sigma = X0
| smaller(X0,sigma) ),
inference(resolution,[],[f11,f100]) ).
fof(f11,axiom,
! [X0,X1] :
( greater(X0,X1)
| smaller(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable_11) ).
fof(f172,plain,
( ~ spl0_9
| spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f154,f149,f169,f165]) ).
fof(f165,plain,
( spl0_9
<=> smaller_or_equal(mod2,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f169,plain,
( spl0_10
<=> zero = mod2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f149,plain,
( spl0_6
<=> smaller(mod2,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f154,plain,
( zero = mod2
| ~ smaller_or_equal(mod2,zero)
| spl0_6 ),
inference(resolution,[],[f151,f1]) ).
fof(f151,plain,
( ~ smaller(mod2,zero)
| spl0_6 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f163,plain,
( ~ spl0_7
| spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f153,f145,f160,f156]) ).
fof(f156,plain,
( spl0_7
<=> smaller_or_equal(sigma,mod1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f160,plain,
( spl0_8
<=> sigma = mod1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f145,plain,
( spl0_5
<=> smaller(sigma,mod1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f153,plain,
( sigma = mod1
| ~ smaller_or_equal(sigma,mod1)
| spl0_5 ),
inference(resolution,[],[f147,f1]) ).
fof(f147,plain,
( ~ smaller(sigma,mod1)
| spl0_5 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f152,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f143,f149,f145]) ).
fof(f143,plain,
( ~ smaller(mod2,zero)
| ~ smaller(sigma,mod1) ),
inference(resolution,[],[f138,f117]) ).
fof(f117,plain,
! [X0] :
( ~ greater(zero,X0)
| ~ smaller(sigma,X0) ),
inference(resolution,[],[f106,f9]) ).
fof(f98,plain,
( ~ spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f80,f95,f91]) ).
fof(f91,plain,
( spl0_3
<=> smaller_or_equal(mod2,mod1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f95,plain,
( spl0_4
<=> mod1 = mod2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f80,plain,
( mod1 = mod2
| ~ smaller_or_equal(mod2,mod1) ),
inference(resolution,[],[f1,f65]) ).
fof(f65,plain,
~ smaller(mod2,mod1),
inference(resolution,[],[f62,f7]) ).
fof(f62,plain,
~ greater(mod1,mod2),
inference(resolution,[],[f9,f34]) ).
fof(f89,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f79,f86,f82]) ).
fof(f82,plain,
( spl0_1
<=> smaller_or_equal(sigma,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f86,plain,
( spl0_2
<=> zero = sigma ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f79,plain,
( zero = sigma
| ~ smaller_or_equal(sigma,zero) ),
inference(resolution,[],[f1,f64]) ).
fof(f64,plain,
~ smaller(sigma,zero),
inference(resolution,[],[f59,f7]) ).
fof(f59,plain,
~ greater(zero,sigma),
inference(resolution,[],[f9,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : MGT062-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.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 20:04:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (10798)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (10801)WARNING: value z3 for option sas not known
% 0.15/0.38 % (10802)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (10800)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (10799)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (10803)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)
% 0.15/0.38 % (10804)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)
% 0.15/0.38 % (10805)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)
% 0.15/0.38 % (10801)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [5]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [6]
% 0.15/0.40 TRYING [5]
% 0.15/0.40 TRYING [3]
% 0.15/0.41 TRYING [7]
% 0.15/0.41 TRYING [6]
% 0.15/0.42 % (10801)First to succeed.
% 0.15/0.42 % (10801)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10798"
% 0.22/0.42 % (10801)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42 % (10801)------------------------------
% 0.22/0.42 % (10801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.42 % (10801)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (10801)Memory used [KB]: 1258
% 0.22/0.42 % (10801)Time elapsed: 0.043 s
% 0.22/0.42 % (10801)Instructions burned: 62 (million)
% 0.22/0.42 % (10798)Success in time 0.05 s
%------------------------------------------------------------------------------