TSTP Solution File: MGT065+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT065+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_sat --cores 0 -t %d %s
% Computer : n001.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 17:51:43 EDT 2022
% Result : Theorem 1.50s 0.59s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 114 ( 30 unt; 0 def)
% Number of atoms : 498 ( 87 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 543 ( 159 ~; 160 |; 179 &)
% ( 13 <=>; 31 =>; 0 <=; 1 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 162 ( 146 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f466,plain,
$false,
inference(subsumption_resolution,[],[f459,f92]) ).
fof(f92,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).
fof(f459,plain,
~ greater(mod1,low),
inference(superposition,[],[f275,f449]) ).
fof(f449,plain,
mod1 = hazard_of_mortality(sK3,sK0),
inference(subsumption_resolution,[],[f442,f276]) ).
fof(f276,plain,
greater(high,low),
inference(resolution,[],[f128,f95]) ).
fof(f95,plain,
greater(high,mod2),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
greater(high,mod2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d) ).
fof(f128,plain,
! [X6] :
( ~ greater(X6,mod2)
| greater(X6,low) ),
inference(resolution,[],[f96,f91]) ).
fof(f91,plain,
greater(mod2,low),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
greater(mod2,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ greater(X2,X0)
| greater(X1,X0)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| greater(X1,X0)
| ~ greater(X2,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| greater(X0,X2)
| ~ greater(X1,X2) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f442,plain,
( ~ greater(high,low)
| mod1 = hazard_of_mortality(sK3,sK0) ),
inference(superposition,[],[f275,f266]) ).
fof(f266,plain,
( high = hazard_of_mortality(sK3,sK0)
| mod1 = hazard_of_mortality(sK3,sK0) ),
inference(subsumption_resolution,[],[f264,f222]) ).
fof(f222,plain,
~ is_aligned(sK3,sK0),
inference(resolution,[],[f217,f161]) ).
fof(f161,plain,
dissimilar(sK3,sK1,sK0),
inference(trivial_inequality_removal,[],[f160]) ).
fof(f160,plain,
( dissimilar(sK3,sK1,sK0)
| zero != zero ),
inference(superposition,[],[f150,f59]) ).
fof(f59,plain,
zero = age(sK3,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( smaller_or_equal(age(sK3,sK2),tau)
& greater(tau,zero)
& greater(sigma,zero)
& smaller_or_equal(age(sK3,sK2),eta)
& has_endowment(sK3)
& greater(age(sK3,sK0),sigma)
& organization(sK3)
& ( ~ greater(hazard_of_mortality(sK3,sK0),hazard_of_mortality(sK3,sK2))
| hazard_of_mortality(sK3,sK1) != hazard_of_mortality(sK3,sK2) )
& smaller_or_equal(age(sK3,sK2),sigma)
& zero = age(sK3,sK1)
& greater(age(sK3,sK0),tau)
& greater(age(sK3,sK0),eta)
& greater(eta,zero) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f42,f43]) ).
fof(f43,plain,
( ? [X0,X1,X2,X3] :
( smaller_or_equal(age(X3,X2),tau)
& greater(tau,zero)
& greater(sigma,zero)
& smaller_or_equal(age(X3,X2),eta)
& has_endowment(X3)
& greater(age(X3,X0),sigma)
& organization(X3)
& ( ~ greater(hazard_of_mortality(X3,X0),hazard_of_mortality(X3,X2))
| hazard_of_mortality(X3,X1) != hazard_of_mortality(X3,X2) )
& smaller_or_equal(age(X3,X2),sigma)
& zero = age(X3,X1)
& greater(age(X3,X0),tau)
& greater(age(X3,X0),eta)
& greater(eta,zero) )
=> ( smaller_or_equal(age(sK3,sK2),tau)
& greater(tau,zero)
& greater(sigma,zero)
& smaller_or_equal(age(sK3,sK2),eta)
& has_endowment(sK3)
& greater(age(sK3,sK0),sigma)
& organization(sK3)
& ( ~ greater(hazard_of_mortality(sK3,sK0),hazard_of_mortality(sK3,sK2))
| hazard_of_mortality(sK3,sK1) != hazard_of_mortality(sK3,sK2) )
& smaller_or_equal(age(sK3,sK2),sigma)
& zero = age(sK3,sK1)
& greater(age(sK3,sK0),tau)
& greater(age(sK3,sK0),eta)
& greater(eta,zero) ) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
? [X0,X1,X2,X3] :
( smaller_or_equal(age(X3,X2),tau)
& greater(tau,zero)
& greater(sigma,zero)
& smaller_or_equal(age(X3,X2),eta)
& has_endowment(X3)
& greater(age(X3,X0),sigma)
& organization(X3)
& ( ~ greater(hazard_of_mortality(X3,X0),hazard_of_mortality(X3,X2))
| hazard_of_mortality(X3,X1) != hazard_of_mortality(X3,X2) )
& smaller_or_equal(age(X3,X2),sigma)
& zero = age(X3,X1)
& greater(age(X3,X0),tau)
& greater(age(X3,X0),eta)
& greater(eta,zero) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
? [X3,X1,X0,X2] :
( smaller_or_equal(age(X2,X0),tau)
& greater(tau,zero)
& greater(sigma,zero)
& smaller_or_equal(age(X2,X0),eta)
& has_endowment(X2)
& greater(age(X2,X3),sigma)
& organization(X2)
& ( ~ greater(hazard_of_mortality(X2,X3),hazard_of_mortality(X2,X0))
| hazard_of_mortality(X2,X1) != hazard_of_mortality(X2,X0) )
& smaller_or_equal(age(X2,X0),sigma)
& zero = age(X2,X1)
& greater(age(X2,X3),tau)
& greater(age(X2,X3),eta)
& greater(eta,zero) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
? [X2,X3,X1,X0] :
( ( ~ greater(hazard_of_mortality(X2,X3),hazard_of_mortality(X2,X0))
| hazard_of_mortality(X2,X1) != hazard_of_mortality(X2,X0) )
& greater(sigma,zero)
& greater(tau,zero)
& organization(X2)
& smaller_or_equal(age(X2,X0),sigma)
& smaller_or_equal(age(X2,X0),eta)
& greater(age(X2,X3),tau)
& greater(eta,zero)
& greater(age(X2,X3),sigma)
& smaller_or_equal(age(X2,X0),tau)
& has_endowment(X2)
& zero = age(X2,X1)
& greater(age(X2,X3),eta) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
~ ! [X2,X3,X1,X0] :
( ( greater(sigma,zero)
& greater(tau,zero)
& organization(X2)
& smaller_or_equal(age(X2,X0),sigma)
& smaller_or_equal(age(X2,X0),eta)
& greater(age(X2,X3),tau)
& greater(eta,zero)
& greater(age(X2,X3),sigma)
& smaller_or_equal(age(X2,X0),tau)
& has_endowment(X2)
& zero = age(X2,X1)
& greater(age(X2,X3),eta) )
=> ( greater(hazard_of_mortality(X2,X3),hazard_of_mortality(X2,X0))
& hazard_of_mortality(X2,X1) = hazard_of_mortality(X2,X0) ) ),
inference(pure_predicate_removal,[],[f21]) ).
fof(f21,plain,
~ ! [X2,X3,X1,X0] :
( ( greater(sigma,zero)
& greater(tau,zero)
& organization(X2)
& smaller_or_equal(age(X2,X0),sigma)
& smaller_or_equal(age(X2,X0),eta)
& ( robust_position(X2)
| fragile_position(X2) )
& greater(age(X2,X3),tau)
& greater(eta,zero)
& greater(age(X2,X3),sigma)
& smaller_or_equal(age(X2,X0),tau)
& has_endowment(X2)
& zero = age(X2,X1)
& greater(age(X2,X3),eta) )
=> ( greater(hazard_of_mortality(X2,X3),hazard_of_mortality(X2,X0))
& hazard_of_mortality(X2,X1) = hazard_of_mortality(X2,X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X5,X4,X0,X6] :
( ( greater(age(X0,X6),tau)
& smaller_or_equal(age(X0,X5),sigma)
& has_endowment(X0)
& smaller_or_equal(age(X0,X5),eta)
& zero = age(X0,X4)
& organization(X0)
& greater(eta,zero)
& greater(age(X0,X6),eta)
& greater(sigma,zero)
& greater(age(X0,X6),sigma)
& greater(tau,zero)
& smaller_or_equal(age(X0,X5),tau)
& ( fragile_position(X0)
| robust_position(X0) ) )
=> ( hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4)
& greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X5,X4,X0,X6] :
( ( greater(age(X0,X6),tau)
& smaller_or_equal(age(X0,X5),sigma)
& has_endowment(X0)
& smaller_or_equal(age(X0,X5),eta)
& zero = age(X0,X4)
& organization(X0)
& greater(eta,zero)
& greater(age(X0,X6),eta)
& greater(sigma,zero)
& greater(age(X0,X6),sigma)
& greater(tau,zero)
& smaller_or_equal(age(X0,X5),tau)
& ( fragile_position(X0)
| robust_position(X0) ) )
=> ( hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4)
& greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11) ).
fof(f150,plain,
! [X0] :
( zero != age(sK3,X0)
| dissimilar(sK3,X0,sK0) ),
inference(subsumption_resolution,[],[f148,f62]) ).
fof(f62,plain,
organization(sK3),
inference(cnf_transformation,[],[f44]) ).
fof(f148,plain,
! [X0] :
( zero != age(sK3,X0)
| dissimilar(sK3,X0,sK0)
| ~ organization(sK3) ),
inference(resolution,[],[f89,f63]) ).
fof(f63,plain,
greater(age(sK3,sK0),sigma),
inference(cnf_transformation,[],[f44]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ greater(age(X2,X0),sigma)
| zero != age(X2,X1)
| ~ organization(X2)
| dissimilar(X2,X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( zero != age(X2,X1)
| ( ( greater(age(X2,X0),sigma)
| ~ dissimilar(X2,X1,X0) )
& ( dissimilar(X2,X1,X0)
| ~ greater(age(X2,X0),sigma) ) )
| ~ organization(X2) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X2,X1,X0] :
( zero != age(X0,X1)
| ( ( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2) )
& ( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma) ) )
| ~ organization(X0) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X2,X1,X0] :
( zero != age(X0,X1)
| ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0,X2] :
( ( zero = age(X0,X1)
& organization(X0) )
=> ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X4,X3] :
( ( organization(X0)
& zero = age(X0,X4) )
=> ( dissimilar(X0,X4,X3)
<=> greater(age(X0,X3),sigma) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).
fof(f217,plain,
! [X0] :
( ~ dissimilar(sK3,sK1,X0)
| ~ is_aligned(sK3,X0) ),
inference(resolution,[],[f77,f134]) ).
fof(f134,plain,
is_aligned(sK3,sK1),
inference(subsumption_resolution,[],[f133,f62]) ).
fof(f133,plain,
( ~ organization(sK3)
| is_aligned(sK3,sK1) ),
inference(trivial_inequality_removal,[],[f132]) ).
fof(f132,plain,
( ~ organization(sK3)
| zero != zero
| is_aligned(sK3,sK1) ),
inference(superposition,[],[f86,f59]) ).
fof(f86,plain,
! [X0,X1] :
( zero != age(X1,X0)
| is_aligned(X1,X0)
| ~ organization(X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( is_aligned(X1,X0)
| ~ organization(X1)
| zero != age(X1,X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( is_aligned(X1,X0)
| ~ organization(X1)
| zero != age(X1,X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X1,X0] :
( ( organization(X1)
& zero = age(X1,X0) )
=> is_aligned(X1,X0) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X0] :
( ( age(X0,X3) = zero
& organization(X0) )
=> is_aligned(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ is_aligned(X1,X2)
| ~ dissimilar(X1,X2,X0)
| ~ is_aligned(X1,X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( ( ( ~ is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X0)
| is_aligned(X1,X2) )
& organization(X1) )
| ~ dissimilar(X1,X2,X0) )
& ( dissimilar(X1,X2,X0)
| ( ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) ) )
| ~ organization(X1) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( ( ( ~ is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X0)
| is_aligned(X1,X2) )
& organization(X1) )
| ~ dissimilar(X1,X2,X0) )
& ( dissimilar(X1,X2,X0)
| ( ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) ) )
| ~ organization(X1) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ( is_aligned(X1,X2)
<~> is_aligned(X1,X0) )
& organization(X1) )
<=> dissimilar(X1,X2,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X2,X0] :
( dissimilar(X1,X2,X0)
<=> ( ~ ( is_aligned(X1,X0)
<=> is_aligned(X1,X2) )
& organization(X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3,X0,X4] :
( ( organization(X0)
& ~ ( is_aligned(X0,X3)
<=> is_aligned(X0,X4) ) )
<=> dissimilar(X0,X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(f264,plain,
( high = hazard_of_mortality(sK3,sK0)
| mod1 = hazard_of_mortality(sK3,sK0)
| is_aligned(sK3,sK0) ),
inference(resolution,[],[f176,f137]) ).
fof(f137,plain,
has_immunity(sK3,sK0),
inference(subsumption_resolution,[],[f135,f105]) ).
fof(f105,plain,
~ has_endowment(sK3),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f64,plain,
has_endowment(sK3),
inference(cnf_transformation,[],[f44]) ).
fof(f135,plain,
( has_endowment(sK3)
| has_immunity(sK3,sK0) ),
inference(resolution,[],[f100,f57]) ).
fof(f57,plain,
greater(age(sK3,sK0),eta),
inference(cnf_transformation,[],[f44]) ).
fof(f100,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| has_endowment(X0)
| has_immunity(X0,X1) ),
inference(consistent_polarity_flipping,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1) )
& ( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) )
& organization(X0) )
| ~ has_endowment(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( has_endowment(X0)
=> ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) )
<=> has_endowment(X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ! [X3] :
( organization(X0)
& ( smaller_or_equal(age(X0,X3),eta)
=> has_immunity(X0,X3) )
& ( greater(age(X0,X3),eta)
=> ~ has_immunity(X0,X3) ) )
<=> has_endowment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
fof(f176,plain,
! [X0] :
( ~ has_immunity(sK3,X0)
| is_aligned(sK3,X0)
| high = hazard_of_mortality(sK3,X0)
| mod1 = hazard_of_mortality(sK3,X0) ),
inference(duplicate_literal_removal,[],[f175]) ).
fof(f175,plain,
! [X0] :
( mod1 = hazard_of_mortality(sK3,X0)
| ~ has_immunity(sK3,X0)
| is_aligned(sK3,X0)
| is_aligned(sK3,X0)
| high = hazard_of_mortality(sK3,X0)
| ~ has_immunity(sK3,X0) ),
inference(resolution,[],[f158,f157]) ).
fof(f157,plain,
! [X0] :
( positional_advantage(sK3,X0)
| is_aligned(sK3,X0)
| mod1 = hazard_of_mortality(sK3,X0)
| ~ has_immunity(sK3,X0) ),
inference(resolution,[],[f101,f62]) ).
fof(f101,plain,
! [X0,X1] :
( ~ organization(X0)
| mod1 = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1)
| is_aligned(X0,X1)
| positional_advantage(X0,X1) ),
inference(consistent_polarity_flipping,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| ~ organization(X0)
| has_immunity(X0,X1)
| mod1 = hazard_of_mortality(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ organization(X0)
| ( ( has_immunity(X0,X1)
| ( ( positional_advantage(X0,X1)
| mod2 = hazard_of_mortality(X0,X1)
| ~ is_aligned(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( is_aligned(X0,X1)
| high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1) )
& ( ~ is_aligned(X0,X1)
| low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1) ) ) )
& ( ~ has_immunity(X0,X1)
| very_low = hazard_of_mortality(X0,X1) ) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( ( ( ( high = 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)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = hazard_of_mortality(X0,X1)
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1) ) )
| has_immunity(X0,X1) )
& ( ~ has_immunity(X0,X1)
| very_low = hazard_of_mortality(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X1)
=> ( ( ( ~ is_aligned(X0,X1)
& ~ positional_advantage(X0,X1) )
=> high = hazard_of_mortality(X0,X1) )
& ( ( positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> low = hazard_of_mortality(X0,X1) )
& ( ( positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> mod1 = hazard_of_mortality(X0,X1) )
& ( ( is_aligned(X0,X1)
& ~ positional_advantage(X0,X1) )
=> mod2 = hazard_of_mortality(X0,X1) ) ) )
& ( has_immunity(X0,X1)
=> very_low = hazard_of_mortality(X0,X1) ) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X3] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X3)
=> ( ( ( ~ is_aligned(X0,X3)
& positional_advantage(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod1 )
& ( ( is_aligned(X0,X3)
& ~ positional_advantage(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod2 )
& ( ( ~ positional_advantage(X0,X3)
& ~ is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = high )
& ( ( positional_advantage(X0,X3)
& is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = low ) ) )
& ( has_immunity(X0,X3)
=> hazard_of_mortality(X0,X3) = very_low ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).
fof(f158,plain,
! [X0] :
( ~ positional_advantage(sK3,X0)
| high = hazard_of_mortality(sK3,X0)
| ~ has_immunity(sK3,X0)
| is_aligned(sK3,X0) ),
inference(resolution,[],[f107,f62]) ).
fof(f107,plain,
! [X0,X1] :
( ~ organization(X0)
| high = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) ),
inference(consistent_polarity_flipping,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0)
| is_aligned(X0,X1)
| high = hazard_of_mortality(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f275,plain,
~ greater(hazard_of_mortality(sK3,sK0),low),
inference(subsumption_resolution,[],[f274,f209]) ).
fof(f209,plain,
very_low = hazard_of_mortality(sK3,sK1),
inference(resolution,[],[f202,f152]) ).
fof(f152,plain,
( ~ smaller_or_equal(zero,eta)
| very_low = hazard_of_mortality(sK3,sK1) ),
inference(resolution,[],[f146,f144]) ).
fof(f144,plain,
( ~ has_immunity(sK3,sK1)
| ~ smaller_or_equal(zero,eta) ),
inference(subsumption_resolution,[],[f142,f105]) ).
fof(f142,plain,
( ~ smaller_or_equal(zero,eta)
| has_endowment(sK3)
| ~ has_immunity(sK3,sK1) ),
inference(superposition,[],[f104,f59]) ).
fof(f104,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| has_endowment(X0) ),
inference(consistent_polarity_flipping,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0)
| has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f146,plain,
! [X0] :
( has_immunity(sK3,X0)
| very_low = hazard_of_mortality(sK3,X0) ),
inference(resolution,[],[f110,f62]) ).
fof(f110,plain,
! [X0,X1] :
( ~ organization(X0)
| very_low = hazard_of_mortality(X0,X1)
| has_immunity(X0,X1) ),
inference(consistent_polarity_flipping,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ organization(X0)
| very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f202,plain,
smaller_or_equal(zero,eta),
inference(resolution,[],[f191,f99]) ).
fof(f99,plain,
! [X0,X1] :
( smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(consistent_polarity_flipping,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f191,plain,
~ smaller(zero,eta),
inference(resolution,[],[f98,f56]) ).
fof(f56,plain,
greater(eta,zero),
inference(cnf_transformation,[],[f44]) ).
fof(f98,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ smaller(X1,X0) ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( smaller(X1,X0)
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ~ smaller(X1,X0) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f274,plain,
( ~ greater(hazard_of_mortality(sK3,sK0),low)
| very_low != hazard_of_mortality(sK3,sK1) ),
inference(resolution,[],[f127,f156]) ).
fof(f156,plain,
( ~ greater(hazard_of_mortality(sK3,sK0),very_low)
| very_low != hazard_of_mortality(sK3,sK1) ),
inference(superposition,[],[f61,f151]) ).
fof(f151,plain,
very_low = hazard_of_mortality(sK3,sK2),
inference(resolution,[],[f146,f143]) ).
fof(f143,plain,
~ has_immunity(sK3,sK2),
inference(subsumption_resolution,[],[f141,f105]) ).
fof(f141,plain,
( ~ has_immunity(sK3,sK2)
| has_endowment(sK3) ),
inference(resolution,[],[f104,f65]) ).
fof(f65,plain,
smaller_or_equal(age(sK3,sK2),eta),
inference(cnf_transformation,[],[f44]) ).
fof(f61,plain,
( ~ greater(hazard_of_mortality(sK3,sK0),hazard_of_mortality(sK3,sK2))
| hazard_of_mortality(sK3,sK1) != hazard_of_mortality(sK3,sK2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f127,plain,
! [X5] :
( greater(X5,very_low)
| ~ greater(X5,low) ),
inference(resolution,[],[f96,f72]) ).
fof(f72,plain,
greater(low,very_low),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
greater(low,very_low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT065+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 03:46:15 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (29506)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 % (29483)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (29488)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (29497)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.52 % (29486)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (29498)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (29505)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (29495)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.52 % (29487)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (29482)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.37/0.53 TRYING [1]
% 1.37/0.53 TRYING [2]
% 1.37/0.53 TRYING [3]
% 1.37/0.53 TRYING [2]
% 1.37/0.53 TRYING [4]
% 1.37/0.53 TRYING [3]
% 1.37/0.53 % (29484)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.37/0.53 % (29512)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.37/0.53 % (29489)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.53 TRYING [4]
% 1.37/0.53 % (29485)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.53 TRYING [5]
% 1.37/0.53 % (29509)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.37/0.53 TRYING [5]
% 1.37/0.53 % (29499)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.37/0.53 % (29492)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.54 % (29502)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.54 % (29500)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.37/0.54 % (29507)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.37/0.54 TRYING [1]
% 1.37/0.54 TRYING [2]
% 1.50/0.54 % (29496)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.54 % (29501)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.54 TRYING [6]
% 1.50/0.54 % (29491)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.50/0.54 % (29508)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.50/0.55 % (29503)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.50/0.55 % (29510)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.50/0.55 % (29489)Instruction limit reached!
% 1.50/0.55 % (29489)------------------------------
% 1.50/0.55 % (29489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (29489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (29489)Termination reason: Unknown
% 1.50/0.55 % (29489)Termination phase: Saturation
% 1.50/0.55
% 1.50/0.55 % (29489)Memory used [KB]: 5628
% 1.50/0.55 % (29489)Time elapsed: 0.100 s
% 1.50/0.55 % (29489)Instructions burned: 8 (million)
% 1.50/0.55 % (29489)------------------------------
% 1.50/0.55 % (29489)------------------------------
% 1.50/0.55 % (29491)Instruction limit reached!
% 1.50/0.55 % (29491)------------------------------
% 1.50/0.55 % (29491)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (29491)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (29491)Termination reason: Unknown
% 1.50/0.55 % (29491)Termination phase: Preprocessing 3
% 1.50/0.55
% 1.50/0.55 % (29491)Memory used [KB]: 895
% 1.50/0.55 % (29491)Time elapsed: 0.005 s
% 1.50/0.55 % (29491)Instructions burned: 2 (million)
% 1.50/0.55 % (29491)------------------------------
% 1.50/0.55 % (29491)------------------------------
% 1.50/0.55 % (29504)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.50/0.55 % (29494)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.55 % (29483)Refutation not found, incomplete strategy% (29483)------------------------------
% 1.50/0.55 % (29483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 % (29483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (29483)Termination reason: Refutation not found, incomplete strategy
% 1.50/0.55
% 1.50/0.55 % (29483)Memory used [KB]: 5500
% 1.50/0.55 % (29483)Time elapsed: 0.151 s
% 1.50/0.55 % (29483)Instructions burned: 4 (million)
% 1.50/0.55 % (29483)------------------------------
% 1.50/0.55 % (29483)------------------------------
% 1.50/0.55 % (29493)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.55 % (29511)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.50/0.56 TRYING [6]
% 1.50/0.56 TRYING [7]
% 1.50/0.56 TRYING [3]
% 1.50/0.57 % (29502)First to succeed.
% 1.50/0.57 TRYING [4]
% 1.50/0.57 TRYING [5]
% 1.50/0.58 TRYING [8]
% 1.50/0.59 % (29488)Instruction limit reached!
% 1.50/0.59 % (29488)------------------------------
% 1.50/0.59 % (29488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (29488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (29488)Termination reason: Unknown
% 1.50/0.59 % (29488)Termination phase: Finite model building SAT solving
% 1.50/0.59
% 1.50/0.59 % (29488)Memory used [KB]: 6524
% 1.50/0.59 % (29488)Time elapsed: 0.153 s
% 1.50/0.59 % (29488)Instructions burned: 53 (million)
% 1.50/0.59 % (29488)------------------------------
% 1.50/0.59 % (29488)------------------------------
% 1.50/0.59 % (29502)Refutation found. Thanks to Tanya!
% 1.50/0.59 % SZS status Theorem for theBenchmark
% 1.50/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.50/0.59 % (29502)------------------------------
% 1.50/0.59 % (29502)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.59 % (29502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.59 % (29502)Termination reason: Refutation
% 1.50/0.59
% 1.50/0.59 % (29502)Memory used [KB]: 1151
% 1.50/0.59 % (29502)Time elapsed: 0.155 s
% 1.50/0.59 % (29502)Instructions burned: 16 (million)
% 1.50/0.59 % (29502)------------------------------
% 1.50/0.59 % (29502)------------------------------
% 1.50/0.59 % (29478)Success in time 0.237 s
%------------------------------------------------------------------------------