TSTP Solution File: MGT061+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n017.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 : Wed Aug 31 17:51:14 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 107 ( 29 unt; 0 def)
% Number of atoms : 434 ( 74 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 495 ( 168 ~; 148 |; 128 &)
% ( 17 <=>; 33 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 3 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 163 ( 147 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f231,plain,
$false,
inference(avatar_sat_refutation,[],[f108,f225,f228]) ).
fof(f228,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f227]) ).
fof(f227,plain,
( $false
| spl4_2 ),
inference(subsumption_resolution,[],[f226,f212]) ).
fof(f212,plain,
low = hazard_of_mortality(sK2,sK1),
inference(unit_resulting_resolution,[],[f84,f137,f109,f199,f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0)
| low = hazard_of_mortality(X0,X1)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( ( ~ has_immunity(X0,X1)
| very_low = hazard_of_mortality(X0,X1) )
& ( has_immunity(X0,X1)
| ( ( ~ positional_advantage(X0,X1)
| low = hazard_of_mortality(X0,X1)
| ~ is_aligned(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( is_aligned(X0,X1)
| positional_advantage(X0,X1)
| high = hazard_of_mortality(X0,X1) )
& ( ~ is_aligned(X0,X1)
| positional_advantage(X0,X1)
| mod2 = hazard_of_mortality(X0,X1) ) ) ) )
| ~ organization(X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ( ( ~ has_immunity(X1,X0)
| very_low = hazard_of_mortality(X1,X0) )
& ( has_immunity(X1,X0)
| ( ( ~ positional_advantage(X1,X0)
| low = hazard_of_mortality(X1,X0)
| ~ is_aligned(X1,X0) )
& ( mod1 = hazard_of_mortality(X1,X0)
| is_aligned(X1,X0)
| ~ positional_advantage(X1,X0) )
& ( is_aligned(X1,X0)
| positional_advantage(X1,X0)
| high = hazard_of_mortality(X1,X0) )
& ( ~ is_aligned(X1,X0)
| positional_advantage(X1,X0)
| mod2 = hazard_of_mortality(X1,X0) ) ) ) )
| ~ organization(X1) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( ( ~ has_immunity(X1,X0)
| very_low = hazard_of_mortality(X1,X0) )
& ( ( ( high = hazard_of_mortality(X1,X0)
| positional_advantage(X1,X0)
| is_aligned(X1,X0) )
& ( low = hazard_of_mortality(X1,X0)
| ~ is_aligned(X1,X0)
| ~ positional_advantage(X1,X0) )
& ( mod2 = hazard_of_mortality(X1,X0)
| ~ is_aligned(X1,X0)
| positional_advantage(X1,X0) )
& ( mod1 = hazard_of_mortality(X1,X0)
| is_aligned(X1,X0)
| ~ positional_advantage(X1,X0) ) )
| has_immunity(X1,X0) ) )
| ~ organization(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( organization(X1)
=> ( ( has_immunity(X1,X0)
=> very_low = hazard_of_mortality(X1,X0) )
& ( ~ has_immunity(X1,X0)
=> ( ( ( ~ positional_advantage(X1,X0)
& ~ is_aligned(X1,X0) )
=> high = hazard_of_mortality(X1,X0) )
& ( ( is_aligned(X1,X0)
& positional_advantage(X1,X0) )
=> low = hazard_of_mortality(X1,X0) )
& ( ( is_aligned(X1,X0)
& ~ positional_advantage(X1,X0) )
=> mod2 = hazard_of_mortality(X1,X0) )
& ( ( ~ is_aligned(X1,X0)
& positional_advantage(X1,X0) )
=> mod1 = hazard_of_mortality(X1,X0) ) ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3,X0] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X3)
=> ( ( ( ~ is_aligned(X0,X3)
& ~ positional_advantage(X0,X3) )
=> hazard_of_mortality(X0,X3) = high )
& ( ( positional_advantage(X0,X3)
& is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = low )
& ( ( is_aligned(X0,X3)
& ~ positional_advantage(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod2 )
& ( ( ~ is_aligned(X0,X3)
& positional_advantage(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod1 ) ) )
& ( has_immunity(X0,X3)
=> hazard_of_mortality(X0,X3) = very_low ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).
fof(f199,plain,
is_aligned(sK2,sK1),
inference(unit_resulting_resolution,[],[f84,f123,f193,f75]) ).
fof(f75,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ organization(X0)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ( ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ) ) )
& ( ( organization(X0)
& ( ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X1)
| is_aligned(X0,X2) ) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0,X2] :
( ( dissimilar(X1,X0,X2)
| ~ organization(X1)
| ( ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) ) ) )
& ( ( organization(X1)
& ( ~ is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X0)
| is_aligned(X1,X2) ) )
| ~ dissimilar(X1,X0,X2) ) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X1,X0,X2] :
( ( dissimilar(X1,X0,X2)
| ~ organization(X1)
| ( ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) ) ) )
& ( ( organization(X1)
& ( ~ is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X0)
| is_aligned(X1,X2) ) )
| ~ dissimilar(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0,X2] :
( dissimilar(X1,X0,X2)
<=> ( organization(X1)
& ( is_aligned(X1,X2)
<~> is_aligned(X1,X0) ) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X2,X0] :
( ( organization(X1)
& ~ ( is_aligned(X1,X2)
<=> is_aligned(X1,X0) ) )
<=> dissimilar(X1,X0,X2) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X4,X0,X3] :
( ( ~ ( is_aligned(X0,X3)
<=> is_aligned(X0,X4) )
& organization(X0) )
<=> dissimilar(X0,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(f193,plain,
~ dissimilar(sK2,sK3,sK1),
inference(unit_resulting_resolution,[],[f84,f80,f145,f85]) ).
fof(f85,plain,
! [X2,X0,X1] :
( zero != age(X1,X2)
| greater(age(X1,X0),sigma)
| ~ organization(X1)
| ~ dissimilar(X1,X2,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( zero != age(X1,X2)
| ( ( dissimilar(X1,X2,X0)
| ~ greater(age(X1,X0),sigma) )
& ( greater(age(X1,X0),sigma)
| ~ dissimilar(X1,X2,X0) ) )
| ~ organization(X1) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X2,X1,X0] :
( zero != age(X1,X0)
| ( ( dissimilar(X1,X0,X2)
| ~ greater(age(X1,X2),sigma) )
& ( greater(age(X1,X2),sigma)
| ~ dissimilar(X1,X0,X2) ) )
| ~ organization(X1) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X2,X1,X0] :
( zero != age(X1,X0)
| ( dissimilar(X1,X0,X2)
<=> greater(age(X1,X2),sigma) )
| ~ organization(X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X2,X1] :
( ( dissimilar(X1,X0,X2)
<=> greater(age(X1,X2),sigma) )
| zero != age(X1,X0)
| ~ organization(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X2,X1] :
( ( zero = age(X1,X0)
& organization(X1) )
=> ( dissimilar(X1,X0,X2)
<=> greater(age(X1,X2),sigma) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X4,X0,X3] :
( ( organization(X0)
& zero = age(X0,X4) )
=> ( greater(age(X0,X3),sigma)
<=> dissimilar(X0,X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).
fof(f145,plain,
~ greater(age(sK2,sK1),sigma),
inference(unit_resulting_resolution,[],[f77,f137,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),sigma)
| ~ fragile_position(X0)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ( positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),sigma) )
& ( ~ positional_advantage(X0,X1)
| ~ greater(age(X0,X1),sigma) ) )
| ~ fragile_position(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( fragile_position(X0)
=> ! [X1] :
( ( smaller_or_equal(age(X0,X1),sigma)
=> positional_advantage(X0,X1) )
& ( greater(age(X0,X1),sigma)
=> ~ positional_advantage(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ! [X1] :
( ( smaller_or_equal(age(X0,X1),sigma)
=> positional_advantage(X0,X1) )
& ( greater(age(X0,X1),sigma)
=> ~ positional_advantage(X0,X1) ) )
<=> fragile_position(X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ! [X3] :
( ( greater(age(X0,X3),sigma)
=> ~ positional_advantage(X0,X3) )
& ( smaller_or_equal(age(X0,X3),sigma)
=> positional_advantage(X0,X3) ) )
<=> fragile_position(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3) ).
fof(f77,plain,
fragile_position(sK2),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( organization(sK2)
& greater(sigma,zero)
& ( ~ greater(hazard_of_mortality(sK2,sK0),hazard_of_mortality(sK2,sK1))
| hazard_of_mortality(sK2,sK1) != hazard_of_mortality(sK2,sK3) )
& smaller_or_equal(age(sK2,sK1),sigma)
& zero = age(sK2,sK3)
& ~ has_endowment(sK2)
& greater(age(sK2,sK0),sigma)
& fragile_position(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f51,f52]) ).
fof(f52,plain,
( ? [X0,X1,X2,X3] :
( organization(X2)
& greater(sigma,zero)
& ( ~ greater(hazard_of_mortality(X2,X0),hazard_of_mortality(X2,X1))
| hazard_of_mortality(X2,X3) != hazard_of_mortality(X2,X1) )
& smaller_or_equal(age(X2,X1),sigma)
& zero = age(X2,X3)
& ~ has_endowment(X2)
& greater(age(X2,X0),sigma)
& fragile_position(X2) )
=> ( organization(sK2)
& greater(sigma,zero)
& ( ~ greater(hazard_of_mortality(sK2,sK0),hazard_of_mortality(sK2,sK1))
| hazard_of_mortality(sK2,sK1) != hazard_of_mortality(sK2,sK3) )
& smaller_or_equal(age(sK2,sK1),sigma)
& zero = age(sK2,sK3)
& ~ has_endowment(sK2)
& greater(age(sK2,sK0),sigma)
& fragile_position(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f51,plain,
? [X0,X1,X2,X3] :
( organization(X2)
& greater(sigma,zero)
& ( ~ greater(hazard_of_mortality(X2,X0),hazard_of_mortality(X2,X1))
| hazard_of_mortality(X2,X3) != hazard_of_mortality(X2,X1) )
& smaller_or_equal(age(X2,X1),sigma)
& zero = age(X2,X3)
& ~ has_endowment(X2)
& greater(age(X2,X0),sigma)
& fragile_position(X2) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
? [X3,X0,X2,X1] :
( organization(X2)
& greater(sigma,zero)
& ( ~ greater(hazard_of_mortality(X2,X3),hazard_of_mortality(X2,X0))
| hazard_of_mortality(X2,X0) != hazard_of_mortality(X2,X1) )
& smaller_or_equal(age(X2,X0),sigma)
& zero = age(X2,X1)
& ~ has_endowment(X2)
& greater(age(X2,X3),sigma)
& fragile_position(X2) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X0,X3,X1,X2] :
( ( ~ greater(hazard_of_mortality(X2,X3),hazard_of_mortality(X2,X0))
| hazard_of_mortality(X2,X0) != hazard_of_mortality(X2,X1) )
& ~ has_endowment(X2)
& greater(sigma,zero)
& organization(X2)
& zero = age(X2,X1)
& smaller_or_equal(age(X2,X0),sigma)
& fragile_position(X2)
& greater(age(X2,X3),sigma) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X3,X1,X2] :
( ( ~ has_endowment(X2)
& greater(sigma,zero)
& organization(X2)
& zero = age(X2,X1)
& smaller_or_equal(age(X2,X0),sigma)
& fragile_position(X2)
& greater(age(X2,X3),sigma) )
=> ( greater(hazard_of_mortality(X2,X3),hazard_of_mortality(X2,X0))
& hazard_of_mortality(X2,X0) = hazard_of_mortality(X2,X1) ) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X5,X4,X0,X6] :
( ( smaller_or_equal(age(X0,X5),sigma)
& zero = age(X0,X4)
& organization(X0)
& greater(age(X0,X6),sigma)
& greater(sigma,zero)
& ~ has_endowment(X0)
& fragile_position(X0) )
=> ( greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5))
& hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X5,X4,X0,X6] :
( ( smaller_or_equal(age(X0,X5),sigma)
& zero = age(X0,X4)
& organization(X0)
& greater(age(X0,X6),sigma)
& greater(sigma,zero)
& ~ has_endowment(X0)
& fragile_position(X0) )
=> ( greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5))
& hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7) ).
fof(f80,plain,
zero = age(sK2,sK3),
inference(cnf_transformation,[],[f53]) ).
fof(f123,plain,
is_aligned(sK2,sK3),
inference(unit_resulting_resolution,[],[f84,f80,f65]) ).
fof(f65,plain,
! [X0,X1] :
( zero != age(X0,X1)
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( is_aligned(X0,X1)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ( zero = age(X0,X1)
& organization(X0) )
=> is_aligned(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X3] :
( ( age(X0,X3) = zero
& organization(X0) )
=> is_aligned(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).
fof(f109,plain,
! [X0] : ~ has_immunity(sK2,X0),
inference(unit_resulting_resolution,[],[f79,f84,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ has_immunity(X1,X0)
| ~ organization(X1)
| has_endowment(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ has_immunity(X1,X0)
| has_endowment(X1)
| ~ organization(X1) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ~ has_immunity(X1,X0)
| has_endowment(X1)
| ~ organization(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ( ~ has_endowment(X1)
& organization(X1) )
=> ~ has_immunity(X1,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X0] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).
fof(f79,plain,
~ has_endowment(sK2),
inference(cnf_transformation,[],[f53]) ).
fof(f137,plain,
positional_advantage(sK2,sK1),
inference(unit_resulting_resolution,[],[f77,f81,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),sigma)
| ~ fragile_position(X0)
| positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f81,plain,
smaller_or_equal(age(sK2,sK1),sigma),
inference(cnf_transformation,[],[f53]) ).
fof(f84,plain,
organization(sK2),
inference(cnf_transformation,[],[f53]) ).
fof(f226,plain,
( low != hazard_of_mortality(sK2,sK1)
| spl4_2 ),
inference(forward_demodulation,[],[f107,f143]) ).
fof(f143,plain,
low = hazard_of_mortality(sK2,sK3),
inference(unit_resulting_resolution,[],[f84,f123,f109,f134,f93]) ).
fof(f134,plain,
positional_advantage(sK2,sK3),
inference(subsumption_resolution,[],[f133,f77]) ).
fof(f133,plain,
( ~ fragile_position(sK2)
| positional_advantage(sK2,sK3) ),
inference(subsumption_resolution,[],[f128,f114]) ).
fof(f114,plain,
smaller_or_equal(zero,sigma),
inference(unit_resulting_resolution,[],[f110,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ( smaller_or_equal(X1,X0)
| ( ~ smaller(X1,X0)
& X0 != X1 ) )
& ( smaller(X1,X0)
| X0 = X1
| ~ smaller_or_equal(X1,X0) ) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ( smaller_or_equal(X1,X0)
| ( ~ smaller(X1,X0)
& X0 != X1 ) )
& ( smaller(X1,X0)
| X0 = X1
| ~ smaller_or_equal(X1,X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
( smaller_or_equal(X1,X0)
<=> ( smaller(X1,X0)
| X0 = X1 ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f110,plain,
smaller(zero,sigma),
inference(unit_resulting_resolution,[],[f83,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X1,X0] :
( ( smaller(X1,X0)
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ~ smaller(X1,X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( smaller(X1,X0)
<=> greater(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f83,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f53]) ).
fof(f128,plain,
( ~ smaller_or_equal(zero,sigma)
| positional_advantage(sK2,sK3)
| ~ fragile_position(sK2) ),
inference(superposition,[],[f64,f80]) ).
fof(f107,plain,
( hazard_of_mortality(sK2,sK1) != hazard_of_mortality(sK2,sK3)
| spl4_2 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl4_2
<=> hazard_of_mortality(sK2,sK1) = hazard_of_mortality(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f225,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f224]) ).
fof(f224,plain,
( $false
| spl4_1 ),
inference(subsumption_resolution,[],[f216,f66]) ).
fof(f66,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).
fof(f216,plain,
( ~ greater(mod1,low)
| spl4_1 ),
inference(backward_demodulation,[],[f169,f212]) ).
fof(f169,plain,
( ~ greater(mod1,hazard_of_mortality(sK2,sK1))
| spl4_1 ),
inference(unit_resulting_resolution,[],[f70,f167,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ greater(X1,X0)
| greater(X1,X2)
| ~ greater(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ greater(X1,X0)
| ~ greater(X0,X2)
| greater(X1,X2) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X2,X1,X0] :
( ~ greater(X1,X2)
| ~ greater(X2,X0)
| greater(X1,X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X1,X2,X0] :
( greater(X1,X0)
| ~ greater(X2,X0)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X2,X0] :
( ( greater(X2,X0)
& greater(X1,X2) )
=> greater(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f167,plain,
( ~ greater(high,hazard_of_mortality(sK2,sK1))
| spl4_1 ),
inference(backward_demodulation,[],[f103,f165]) ).
fof(f165,plain,
high = hazard_of_mortality(sK2,sK0),
inference(unit_resulting_resolution,[],[f84,f109,f117,f146,f91]) ).
fof(f91,plain,
! [X0,X1] :
( positional_advantage(X0,X1)
| has_immunity(X0,X1)
| is_aligned(X0,X1)
| high = hazard_of_mortality(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f146,plain,
~ is_aligned(sK2,sK0),
inference(unit_resulting_resolution,[],[f123,f124,f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f124,plain,
dissimilar(sK2,sK3,sK0),
inference(unit_resulting_resolution,[],[f84,f78,f80,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( zero != age(X1,X2)
| dissimilar(X1,X2,X0)
| ~ organization(X1)
| ~ greater(age(X1,X0),sigma) ),
inference(cnf_transformation,[],[f55]) ).
fof(f78,plain,
greater(age(sK2,sK0),sigma),
inference(cnf_transformation,[],[f53]) ).
fof(f117,plain,
~ positional_advantage(sK2,sK0),
inference(unit_resulting_resolution,[],[f77,f78,f63]) ).
fof(f103,plain,
( ~ greater(hazard_of_mortality(sK2,sK0),hazard_of_mortality(sK2,sK1))
| spl4_1 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl4_1
<=> greater(hazard_of_mortality(sK2,sK0),hazard_of_mortality(sK2,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f70,plain,
greater(high,mod1),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
greater(high,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a) ).
fof(f108,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f82,f105,f101]) ).
fof(f82,plain,
( hazard_of_mortality(sK2,sK1) != hazard_of_mortality(sK2,sK3)
| ~ greater(hazard_of_mortality(sK2,sK0),hazard_of_mortality(sK2,sK1)) ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 02:47:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (19596)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (19597)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.51 % (19610)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51 % (19595)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (19603)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.19/0.52 % (19596)Refutation not found, incomplete strategy% (19596)------------------------------
% 0.19/0.52 % (19596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19607)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (19615)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.52 % (19602)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.52 % (19611)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (19607)Instruction limit reached!
% 0.19/0.52 % (19607)------------------------------
% 0.19/0.52 % (19607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19610)Instruction limit reached!
% 0.19/0.52 % (19610)------------------------------
% 0.19/0.52 % (19610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (19596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19596)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (19596)Memory used [KB]: 6012
% 0.19/0.52 % (19596)Time elapsed: 0.118 s
% 0.19/0.52 % (19596)Instructions burned: 8 (million)
% 0.19/0.52 % (19596)------------------------------
% 0.19/0.52 % (19596)------------------------------
% 0.19/0.52 % (19616)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.19/0.52 % (19619)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (19593)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.52 % (19610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (19610)Termination reason: Unknown
% 0.19/0.52 % (19610)Termination phase: Finite model building preprocessing
% 0.19/0.52
% 0.19/0.52 % (19610)Memory used [KB]: 1407
% 0.19/0.52 % (19610)Time elapsed: 0.003 s
% 0.19/0.52 % (19610)Instructions burned: 3 (million)
% 0.19/0.52 % (19610)------------------------------
% 0.19/0.52 % (19610)------------------------------
% 0.19/0.52 % (19599)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (19600)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.52 % (19617)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.53 % (19598)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.53 % (19607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19607)Termination reason: Unknown
% 0.19/0.53 % (19607)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19607)Memory used [KB]: 6012
% 0.19/0.53 % (19607)Time elapsed: 0.003 s
% 0.19/0.53 % (19607)Instructions burned: 3 (million)
% 0.19/0.53 % (19607)------------------------------
% 0.19/0.53 % (19607)------------------------------
% 0.19/0.53 % (19602)First to succeed.
% 0.19/0.53 % (19611)Instruction limit reached!
% 0.19/0.53 % (19611)------------------------------
% 0.19/0.53 % (19611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19611)Termination reason: Unknown
% 0.19/0.53 % (19611)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19611)Memory used [KB]: 6012
% 0.19/0.53 % (19611)Time elapsed: 0.004 s
% 0.19/0.53 % (19611)Instructions burned: 3 (million)
% 0.19/0.53 % (19611)------------------------------
% 0.19/0.53 % (19611)------------------------------
% 0.19/0.53 % (19594)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.53 % (19598)Refutation not found, incomplete strategy% (19598)------------------------------
% 0.19/0.53 % (19598)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19598)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (19598)Memory used [KB]: 1535
% 0.19/0.53 % (19598)Time elapsed: 0.128 s
% 0.19/0.53 % (19598)Instructions burned: 8 (million)
% 0.19/0.53 % (19598)------------------------------
% 0.19/0.53 % (19598)------------------------------
% 0.19/0.53 % (19622)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.53 % (19613)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.53 % (19621)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (19604)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (19603)Instruction limit reached!
% 0.19/0.53 % (19603)------------------------------
% 0.19/0.53 % (19603)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19595)Instruction limit reached!
% 0.19/0.53 % (19595)------------------------------
% 0.19/0.53 % (19595)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19595)Termination reason: Unknown
% 0.19/0.53 % (19595)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19595)Memory used [KB]: 6012
% 0.19/0.53 % (19595)Time elapsed: 0.137 s
% 0.19/0.53 % (19595)Instructions burned: 3 (million)
% 0.19/0.53 % (19595)------------------------------
% 0.19/0.53 % (19595)------------------------------
% 0.19/0.53 % (19612)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.19/0.53 % (19620)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.53 % (19618)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.53 % (19597)Instruction limit reached!
% 0.19/0.53 % (19597)------------------------------
% 0.19/0.53 % (19597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (19594)Also succeeded, but the first one will report.
% 0.19/0.53 % (19597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (19597)Termination reason: Unknown
% 0.19/0.53 % (19597)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (19597)Memory used [KB]: 6140
% 0.19/0.53 % (19597)Time elapsed: 0.138 s
% 0.19/0.53 % (19597)Instructions burned: 13 (million)
% 0.19/0.53 % (19597)------------------------------
% 0.19/0.53 % (19597)------------------------------
% 0.19/0.54 % (19606)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (19605)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.54 % (19609)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (19614)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (19612)Instruction limit reached!
% 0.19/0.54 % (19612)------------------------------
% 0.19/0.54 % (19612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (19612)Termination reason: Unknown
% 0.19/0.54 % (19612)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (19612)Memory used [KB]: 6140
% 0.19/0.54 % (19612)Time elapsed: 0.145 s
% 0.19/0.54 % (19612)Instructions burned: 11 (million)
% 0.19/0.54 % (19612)------------------------------
% 0.19/0.54 % (19612)------------------------------
% 0.19/0.54 % (19608)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.54 % (19605)Refutation not found, incomplete strategy% (19605)------------------------------
% 0.19/0.54 % (19605)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (19605)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (19605)Memory used [KB]: 1535
% 0.19/0.54 % (19605)Time elapsed: 0.140 s
% 0.19/0.54 % (19605)Instructions burned: 4 (million)
% 0.19/0.54 % (19605)------------------------------
% 0.19/0.54 % (19605)------------------------------
% 0.19/0.54 % (19621)Instruction limit reached!
% 0.19/0.54 % (19621)------------------------------
% 0.19/0.54 % (19621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19602)Refutation found. Thanks to Tanya!
% 0.19/0.54 % SZS status Theorem for theBenchmark
% 0.19/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.54 % (19602)------------------------------
% 0.19/0.54 % (19602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (19602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (19602)Termination reason: Refutation
% 0.19/0.54
% 0.19/0.54 % (19602)Memory used [KB]: 6140
% 0.19/0.54 % (19602)Time elapsed: 0.134 s
% 0.19/0.54 % (19602)Instructions burned: 7 (million)
% 0.19/0.54 % (19602)------------------------------
% 0.19/0.54 % (19602)------------------------------
% 0.19/0.54 % (19592)Success in time 0.188 s
%------------------------------------------------------------------------------