TSTP Solution File: MGT062+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT062+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 : n018.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 17:51:15 EDT 2022
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 108 ( 23 unt; 0 def)
% Number of atoms : 442 ( 79 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 505 ( 171 ~; 152 |; 133 &)
% ( 17 <=>; 31 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 5 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 141 ( 125 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f204,plain,
$false,
inference(avatar_sat_refutation,[],[f99,f135,f140,f195,f203]) ).
fof(f203,plain,
( ~ spl4_1
| spl4_2
| spl4_3 ),
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f202,plain,
( $false
| ~ spl4_1
| spl4_2
| spl4_3 ),
inference(subsumption_resolution,[],[f199,f56]) ).
fof(f56,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19) ).
fof(f199,plain,
( ~ greater(mod2,mod1)
| ~ spl4_1
| spl4_2
| spl4_3 ),
inference(unit_resulting_resolution,[],[f198,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller) ).
fof(f198,plain,
( ~ smaller(mod1,mod2)
| ~ spl4_1
| spl4_2
| spl4_3 ),
inference(backward_demodulation,[],[f196,f197]) ).
fof(f197,plain,
( mod2 = hazard_of_mortality(sK0,sK2)
| ~ spl4_1
| spl4_3 ),
inference(forward_demodulation,[],[f93,f146]) ).
fof(f146,plain,
( mod2 = hazard_of_mortality(sK0,sK3)
| spl4_3 ),
inference(unit_resulting_resolution,[],[f81,f103,f119,f130,f63]) ).
fof(f63,plain,
! [X0,X1] :
( ~ is_aligned(X0,X1)
| ~ organization(X0)
| positional_advantage(X0,X1)
| mod2 = hazard_of_mortality(X0,X1)
| has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( ( ( ( low = hazard_of_mortality(X0,X1)
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( ~ is_aligned(X0,X1)
| positional_advantage(X0,X1)
| mod2 = hazard_of_mortality(X0,X1) )
& ( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| high = hazard_of_mortality(X0,X1) )
& ( is_aligned(X0,X1)
| mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1) ) )
| has_immunity(X0,X1) )
& ( ~ has_immunity(X0,X1)
| very_low = hazard_of_mortality(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( ( ( ( ( high = hazard_of_mortality(X0,X1)
| is_aligned(X0,X1)
| positional_advantage(X0,X1) )
& ( mod2 = hazard_of_mortality(X0,X1)
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1) )
& ( low = hazard_of_mortality(X0,X1)
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) ) )
| has_immunity(X0,X1) )
& ( ~ has_immunity(X0,X1)
| very_low = hazard_of_mortality(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( organization(X0)
=> ( ( ~ has_immunity(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) )
& ( ( is_aligned(X0,X1)
& positional_advantage(X0,X1) )
=> low = hazard_of_mortality(X0,X1) )
& ( ( positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> mod1 = hazard_of_mortality(X0,X1) ) ) )
& ( has_immunity(X0,X1)
=> very_low = hazard_of_mortality(X0,X1) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X3] :
( organization(X0)
=> ( ( has_immunity(X0,X3)
=> hazard_of_mortality(X0,X3) = very_low )
& ( ~ has_immunity(X0,X3)
=> ( ( ( is_aligned(X0,X3)
& positional_advantage(X0,X3) )
=> hazard_of_mortality(X0,X3) = low )
& ( ( ~ 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) = mod1 )
& ( ( is_aligned(X0,X3)
& ~ positional_advantage(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
fof(f130,plain,
( ~ positional_advantage(sK0,sK3)
| spl4_3 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f128,plain,
( spl4_3
<=> positional_advantage(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f119,plain,
is_aligned(sK0,sK3),
inference(subsumption_resolution,[],[f118,f81]) ).
fof(f118,plain,
( is_aligned(sK0,sK3)
| ~ organization(sK0) ),
inference(trivial_inequality_removal,[],[f113]) ).
fof(f113,plain,
( zero != zero
| is_aligned(sK0,sK3)
| ~ organization(sK0) ),
inference(superposition,[],[f75,f77]) ).
fof(f77,plain,
zero = age(sK0,sK3),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ~ has_endowment(sK0)
& robust_position(sK0)
& smaller_or_equal(age(sK0,sK2),sigma)
& ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK3)
| ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) )
& organization(sK0)
& sigma = tau
& greater(sigma,zero)
& greater(tau,zero)
& zero = age(sK0,sK3)
& greater(age(sK0,sK1),sigma) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f50,f51]) ).
fof(f51,plain,
( ? [X0,X1,X2,X3] :
( ~ has_endowment(X0)
& robust_position(X0)
& smaller_or_equal(age(X0,X2),sigma)
& ( hazard_of_mortality(X0,X3) != hazard_of_mortality(X0,X2)
| ~ smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) )
& organization(X0)
& sigma = tau
& greater(sigma,zero)
& greater(tau,zero)
& age(X0,X3) = zero
& greater(age(X0,X1),sigma) )
=> ( ~ has_endowment(sK0)
& robust_position(sK0)
& smaller_or_equal(age(sK0,sK2),sigma)
& ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK3)
| ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) )
& organization(sK0)
& sigma = tau
& greater(sigma,zero)
& greater(tau,zero)
& zero = age(sK0,sK3)
& greater(age(sK0,sK1),sigma) ) ),
introduced(choice_axiom,[]) ).
fof(f50,plain,
? [X0,X1,X2,X3] :
( ~ has_endowment(X0)
& robust_position(X0)
& smaller_or_equal(age(X0,X2),sigma)
& ( hazard_of_mortality(X0,X3) != hazard_of_mortality(X0,X2)
| ~ smaller(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) )
& organization(X0)
& sigma = tau
& greater(sigma,zero)
& greater(tau,zero)
& age(X0,X3) = zero
& greater(age(X0,X1),sigma) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
? [X0,X3,X1,X2] :
( ~ has_endowment(X0)
& robust_position(X0)
& smaller_or_equal(age(X0,X1),sigma)
& ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X1)) )
& organization(X0)
& sigma = tau
& greater(sigma,zero)
& greater(tau,zero)
& zero = age(X0,X2)
& greater(age(X0,X3),sigma) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
? [X3,X0,X1,X2] :
( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X1)) )
& ~ has_endowment(X0)
& robust_position(X0)
& smaller_or_equal(age(X0,X1),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& organization(X0)
& zero = age(X0,X2)
& greater(age(X0,X3),sigma) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X3,X0,X1,X2] :
( ( ~ has_endowment(X0)
& robust_position(X0)
& smaller_or_equal(age(X0,X1),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& organization(X0)
& zero = age(X0,X2)
& greater(age(X0,X3),sigma) )
=> ( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
& smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X1)) ) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X5,X4,X6] :
( ( greater(sigma,zero)
& sigma = tau
& greater(tau,zero)
& ~ has_endowment(X0)
& greater(age(X0,X6),sigma)
& robust_position(X0)
& zero = age(X0,X4)
& smaller_or_equal(age(X0,X5),sigma)
& organization(X0) )
=> ( smaller(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5))
& hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4) ) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X5,X4,X6] :
( ( greater(sigma,zero)
& sigma = tau
& greater(tau,zero)
& ~ has_endowment(X0)
& greater(age(X0,X6),sigma)
& robust_position(X0)
& zero = age(X0,X4)
& smaller_or_equal(age(X0,X5),sigma)
& organization(X0) )
=> ( smaller(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5))
& hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8) ).
fof(f75,plain,
! [X0,X1] :
( zero != age(X1,X0)
| is_aligned(X1,X0)
| ~ organization(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( zero != age(X1,X0)
| ~ organization(X1)
| is_aligned(X1,X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( is_aligned(X1,X0)
| ~ organization(X1)
| zero != age(X1,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( organization(X1)
& zero = age(X1,X0) )
=> is_aligned(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X0] :
( ( organization(X0)
& age(X0,X3) = zero )
=> is_aligned(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
fof(f103,plain,
! [X0] : ~ has_immunity(sK0,X0),
inference(unit_resulting_resolution,[],[f81,f85,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ has_immunity(X1,X0)
| ~ organization(X1)
| has_endowment(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ organization(X1)
| ~ has_immunity(X1,X0)
| has_endowment(X1) ),
inference(rectify,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_endowment(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( organization(X0)
& ~ has_endowment(X0) )
=> ~ has_immunity(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3] :
( ( organization(X0)
& ~ has_endowment(X0) )
=> ~ has_immunity(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(f85,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f52]) ).
fof(f81,plain,
organization(sK0),
inference(cnf_transformation,[],[f52]) ).
fof(f93,plain,
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK3)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl4_1
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f196,plain,
( ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
| spl4_2 ),
inference(forward_demodulation,[],[f98,f171]) ).
fof(f171,plain,
mod1 = hazard_of_mortality(sK0,sK1),
inference(unit_resulting_resolution,[],[f81,f103,f122,f152,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| ~ organization(X0)
| mod1 = hazard_of_mortality(X0,X1)
| has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f152,plain,
~ is_aligned(sK0,sK1),
inference(unit_resulting_resolution,[],[f119,f112,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X2,X1)
| ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X2,X1)
| ~ organization(X0)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) ) )
& ( ( organization(X0)
& ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ dissimilar(X0,X2,X1) ) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X2,X1)
| ~ organization(X0)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) ) )
& ( ( organization(X0)
& ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ dissimilar(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( dissimilar(X0,X2,X1)
<=> ( organization(X0)
& ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0] :
( dissimilar(X0,X2,X1)
<=> ( ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X3,X4] :
( ( organization(X0)
& ~ ( is_aligned(X0,X3)
<=> is_aligned(X0,X4) ) )
<=> dissimilar(X0,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f112,plain,
dissimilar(sK0,sK3,sK1),
inference(unit_resulting_resolution,[],[f81,f76,f77,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( zero != age(X1,X2)
| dissimilar(X1,X2,X0)
| ~ greater(age(X1,X0),sigma)
| ~ organization(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ organization(X1)
| ( ( greater(age(X1,X0),sigma)
| ~ dissimilar(X1,X2,X0) )
& ( dissimilar(X1,X2,X0)
| ~ greater(age(X1,X0),sigma) ) )
| zero != age(X1,X2) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X1,X0,X2] :
( ~ organization(X0)
| ( ( greater(age(X0,X1),sigma)
| ~ dissimilar(X0,X2,X1) )
& ( dissimilar(X0,X2,X1)
| ~ greater(age(X0,X1),sigma) ) )
| zero != age(X0,X2) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X0,X2] :
( ~ organization(X0)
| ( greater(age(X0,X1),sigma)
<=> dissimilar(X0,X2,X1) )
| zero != age(X0,X2) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X1,X0,X2] :
( ( greater(age(X0,X1),sigma)
<=> dissimilar(X0,X2,X1) )
| ~ organization(X0)
| zero != age(X0,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0,X2] :
( ( organization(X0)
& zero = age(X0,X2) )
=> ( greater(age(X0,X1),sigma)
<=> dissimilar(X0,X2,X1) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X3,X4] :
( ( organization(X0)
& zero = age(X0,X4) )
=> ( dissimilar(X0,X4,X3)
<=> greater(age(X0,X3),sigma) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).
fof(f76,plain,
greater(age(sK0,sK1),sigma),
inference(cnf_transformation,[],[f52]) ).
fof(f122,plain,
positional_advantage(sK0,sK1),
inference(unit_resulting_resolution,[],[f84,f76,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),sigma)
| ~ robust_position(X0)
| positional_advantage(X0,X1) ),
inference(backward_demodulation,[],[f74,f80]) ).
fof(f80,plain,
sigma = tau,
inference(cnf_transformation,[],[f52]) ).
fof(f74,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),tau)
| ~ robust_position(X0)
| positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ( ~ greater(age(X0,X1),tau)
| positional_advantage(X0,X1) )
& ( ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau) ) )
| ~ robust_position(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( robust_position(X0)
=> ! [X1] :
( ( greater(age(X0,X1),tau)
=> positional_advantage(X0,X1) )
& ( smaller_or_equal(age(X0,X1),tau)
=> ~ positional_advantage(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f19]) ).
fof(f19,plain,
! [X0] :
( ! [X1] :
( ( greater(age(X0,X1),tau)
=> positional_advantage(X0,X1) )
& ( smaller_or_equal(age(X0,X1),tau)
=> ~ positional_advantage(X0,X1) ) )
<=> robust_position(X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( robust_position(X0)
<=> ! [X3] :
( ( smaller_or_equal(age(X0,X3),tau)
=> ~ positional_advantage(X0,X3) )
& ( greater(age(X0,X3),tau)
=> positional_advantage(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4) ).
fof(f84,plain,
robust_position(sK0),
inference(cnf_transformation,[],[f52]) ).
fof(f98,plain,
( ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| spl4_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f96,plain,
( spl4_2
<=> smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f195,plain,
( spl4_1
| spl4_3 ),
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| spl4_1
| spl4_3 ),
inference(subsumption_resolution,[],[f188,f169]) ).
fof(f169,plain,
( dissimilar(sK0,sK3,sK2)
| spl4_1
| spl4_3 ),
inference(unit_resulting_resolution,[],[f119,f81,f149,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( dissimilar(X0,X2,X1)
| is_aligned(X0,X1)
| ~ organization(X0)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f149,plain,
( ~ is_aligned(sK0,sK2)
| spl4_1
| spl4_3 ),
inference(unit_resulting_resolution,[],[f81,f103,f124,f147,f63]) ).
fof(f147,plain,
( mod2 != hazard_of_mortality(sK0,sK2)
| spl4_1
| spl4_3 ),
inference(backward_demodulation,[],[f94,f146]) ).
fof(f94,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK3)
| spl4_1 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f124,plain,
~ positional_advantage(sK0,sK2),
inference(unit_resulting_resolution,[],[f84,f83,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),sigma)
| ~ robust_position(X0)
| ~ positional_advantage(X0,X1) ),
inference(backward_demodulation,[],[f73,f80]) ).
fof(f73,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),tau)
| ~ robust_position(X0)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f83,plain,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f52]) ).
fof(f188,plain,
~ dissimilar(sK0,sK3,sK2),
inference(unit_resulting_resolution,[],[f144,f121]) ).
fof(f121,plain,
! [X1] :
( greater(age(sK0,X1),sigma)
| ~ dissimilar(sK0,sK3,X1) ),
inference(subsumption_resolution,[],[f116,f81]) ).
fof(f116,plain,
! [X1] :
( greater(age(sK0,X1),sigma)
| ~ organization(sK0)
| ~ dissimilar(sK0,sK3,X1) ),
inference(trivial_inequality_removal,[],[f115]) ).
fof(f115,plain,
! [X1] :
( zero != zero
| ~ organization(sK0)
| greater(age(sK0,X1),sigma)
| ~ dissimilar(sK0,sK3,X1) ),
inference(superposition,[],[f88,f77]) ).
fof(f88,plain,
! [X2,X0,X1] :
( zero != age(X1,X2)
| greater(age(X1,X0),sigma)
| ~ dissimilar(X1,X2,X0)
| ~ organization(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f144,plain,
~ greater(age(sK0,sK2),sigma),
inference(unit_resulting_resolution,[],[f84,f124,f101]) ).
fof(f140,plain,
spl4_4,
inference(avatar_split_clause,[],[f139,f132]) ).
fof(f132,plain,
( spl4_4
<=> smaller_or_equal(zero,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f139,plain,
smaller_or_equal(zero,sigma),
inference(unit_resulting_resolution,[],[f106,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) )
& ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) )
& ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f106,plain,
smaller(zero,sigma),
inference(unit_resulting_resolution,[],[f79,f71]) ).
fof(f79,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f52]) ).
fof(f135,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f126,f132,f128]) ).
fof(f126,plain,
( ~ smaller_or_equal(zero,sigma)
| ~ positional_advantage(sK0,sK3) ),
inference(subsumption_resolution,[],[f125,f84]) ).
fof(f125,plain,
( ~ robust_position(sK0)
| ~ positional_advantage(sK0,sK3)
| ~ smaller_or_equal(zero,sigma) ),
inference(superposition,[],[f102,f77]) ).
fof(f99,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f82,f96,f92]) ).
fof(f82,plain,
( ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK3) ),
inference(cnf_transformation,[],[f52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : MGT062+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 30 03:27:55 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.51 % (29430)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.52 % (29435)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)
% 0.21/0.52 % (29436)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)
% 0.21/0.52 % (29439)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52 % (29433)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)
% 0.21/0.53 % (29433)Instruction limit reached!
% 0.21/0.53 % (29433)------------------------------
% 0.21/0.53 % (29433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (29455)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)
% 0.21/0.53 % (29433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (29433)Termination reason: Unknown
% 0.21/0.53 % (29433)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (29433)Memory used [KB]: 6012
% 0.21/0.53 % (29433)Time elapsed: 0.122 s
% 0.21/0.53 % (29433)Instructions burned: 4 (million)
% 0.21/0.53 % (29433)------------------------------
% 0.21/0.53 % (29433)------------------------------
% 0.21/0.53 % (29446)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)
% 0.21/0.53 % (29454)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)
% 0.21/0.53 % (29441)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)
% 0.21/0.53 % (29459)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)
% 0.21/0.54 % (29432)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)
% 0.21/0.54 % (29438)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)
% 0.21/0.54 % (29456)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)
% 0.21/0.54 % (29446)Instruction limit reached!
% 0.21/0.54 % (29446)------------------------------
% 0.21/0.54 % (29446)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29446)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29446)Termination reason: Unknown
% 0.21/0.54 % (29446)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (29446)Memory used [KB]: 6012
% 0.21/0.54 % (29446)Time elapsed: 0.091 s
% 0.21/0.54 % (29446)Instructions burned: 7 (million)
% 0.21/0.54 % (29446)------------------------------
% 0.21/0.54 % (29446)------------------------------
% 0.21/0.54 % (29447)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)
% 0.21/0.54 % (29434)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)
% 0.21/0.55 % (29434)First to succeed.
% 0.21/0.55 % (29437)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)
% 0.21/0.55 % (29434)Refutation found. Thanks to Tanya!
% 0.21/0.55 % SZS status Theorem for theBenchmark
% 0.21/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (29434)------------------------------
% 0.21/0.55 % (29434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (29434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (29434)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (29434)Memory used [KB]: 6012
% 0.21/0.55 % (29434)Time elapsed: 0.129 s
% 0.21/0.55 % (29434)Instructions burned: 6 (million)
% 0.21/0.55 % (29434)------------------------------
% 0.21/0.55 % (29434)------------------------------
% 0.21/0.55 % (29428)Success in time 0.18 s
%------------------------------------------------------------------------------