TSTP Solution File: MGT065+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT065+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 : n022.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 07:59:33 EDT 2024
% Result : Theorem 0.21s 0.55s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 17
% Syntax : Number of formulae : 113 ( 35 unt; 0 def)
% Number of atoms : 506 ( 96 equ)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 550 ( 157 ~; 163 |; 182 &)
% ( 15 <=>; 31 =>; 0 <=; 2 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 157 ( 145 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7069,plain,
$false,
inference(subsumption_resolution,[],[f7068,f1004]) ).
fof(f1004,plain,
very_low = hazard_of_mortality(sK3,sK5),
inference(unit_resulting_resolution,[],[f59,f507,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| very_low = hazard_of_mortality(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( ( sP1(X1,X0)
| has_immunity(X0,X1) )
& ( very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(definition_folding,[],[f31,f42]) ).
fof(f42,plain,
! [X1,X0] :
( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = 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) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| ~ sP1(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f31,plain,
! [X0,X1] :
( ( ( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = 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) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| has_immunity(X0,X1) )
& ( very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( ( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = 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) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| has_immunity(X0,X1) )
& ( very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X1)
=> ( ( ( ~ positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> high = hazard_of_mortality(X0,X1) )
& ( ( ~ positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> mod2 = 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) )
=> low = 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)
=> ( ( ( ~ 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) = mod2 )
& ( ( positional_advantage(X0,X3)
& ~ is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod1 )
& ( ( 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(f507,plain,
has_immunity(sK3,sK5),
inference(unit_resulting_resolution,[],[f107,f67,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( ( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) )
& ( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta) )
& organization(X0) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) )
& ( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta) )
& organization(X0) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f67,plain,
smaller_or_equal(age(sK3,sK5),eta),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| ~ greater(hazard_of_mortality(sK3,sK6),hazard_of_mortality(sK3,sK5)) )
& greater(age(sK3,sK6),eta)
& greater(age(sK3,sK6),tau)
& greater(age(sK3,sK6),sigma)
& smaller_or_equal(age(sK3,sK5),eta)
& smaller_or_equal(age(sK3,sK5),tau)
& smaller_or_equal(age(sK3,sK5),sigma)
& greater(eta,zero)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(sK3,sK4)
& has_endowment(sK3)
& organization(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6])],[f28,f46]) ).
fof(f46,plain,
( ? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(age(X0,X3),eta)
& greater(age(X0,X3),tau)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),eta)
& smaller_or_equal(age(X0,X2),tau)
& smaller_or_equal(age(X0,X2),sigma)
& greater(eta,zero)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) )
=> ( ( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| ~ greater(hazard_of_mortality(sK3,sK6),hazard_of_mortality(sK3,sK5)) )
& greater(age(sK3,sK6),eta)
& greater(age(sK3,sK6),tau)
& greater(age(sK3,sK6),sigma)
& smaller_or_equal(age(sK3,sK5),eta)
& smaller_or_equal(age(sK3,sK5),tau)
& smaller_or_equal(age(sK3,sK5),sigma)
& greater(eta,zero)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(sK3,sK4)
& has_endowment(sK3)
& organization(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f28,plain,
? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(age(X0,X3),eta)
& greater(age(X0,X3),tau)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),eta)
& smaller_or_equal(age(X0,X2),tau)
& smaller_or_equal(age(X0,X2),sigma)
& greater(eta,zero)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(age(X0,X3),eta)
& greater(age(X0,X3),tau)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),eta)
& smaller_or_equal(age(X0,X2),tau)
& smaller_or_equal(age(X0,X2),sigma)
& greater(eta,zero)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
~ ! [X0,X1,X2,X3] :
( ( greater(age(X0,X3),eta)
& greater(age(X0,X3),tau)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),eta)
& smaller_or_equal(age(X0,X2),tau)
& smaller_or_equal(age(X0,X2),sigma)
& greater(eta,zero)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
& greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
inference(pure_predicate_removal,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2,X3] :
( ( greater(age(X0,X3),eta)
& greater(age(X0,X3),tau)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),eta)
& smaller_or_equal(age(X0,X2),tau)
& smaller_or_equal(age(X0,X2),sigma)
& greater(eta,zero)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& has_endowment(X0)
& ( fragile_position(X0)
| robust_position(X0) )
& organization(X0) )
=> ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
& greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X0,X4,X5,X6] :
( ( greater(age(X0,X6),eta)
& greater(age(X0,X6),tau)
& greater(age(X0,X6),sigma)
& smaller_or_equal(age(X0,X5),eta)
& smaller_or_equal(age(X0,X5),tau)
& smaller_or_equal(age(X0,X5),sigma)
& greater(eta,zero)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X4)
& has_endowment(X0)
& ( fragile_position(X0)
| robust_position(X0) )
& organization(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,
! [X0,X4,X5,X6] :
( ( greater(age(X0,X6),eta)
& greater(age(X0,X6),tau)
& greater(age(X0,X6),sigma)
& smaller_or_equal(age(X0,X5),eta)
& smaller_or_equal(age(X0,X5),tau)
& smaller_or_equal(age(X0,X5),sigma)
& greater(eta,zero)
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X4)
& has_endowment(X0)
& ( fragile_position(X0)
| robust_position(X0) )
& organization(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(f107,plain,
sP0(sK3),
inference(unit_resulting_resolution,[],[f60,f80]) ).
fof(f80,plain,
! [X0] :
( ~ has_endowment(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( sP0(X0)
| ~ has_endowment(X0) ),
inference(definition_folding,[],[f29,f40]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) )
& ( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta) )
& organization(X0) )
| ~ has_endowment(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( has_endowment(X0)
=> ! [X1] :
( ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) )
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& organization(X0) ) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f20,plain,
! [X0] :
( has_endowment(X0)
<=> ! [X1] :
( ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) )
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& organization(X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( has_endowment(X0)
<=> ! [X3] :
( ( greater(age(X0,X3),eta)
=> ~ has_immunity(X0,X3) )
& ( smaller_or_equal(age(X0,X3),eta)
=> has_immunity(X0,X3) )
& organization(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
fof(f60,plain,
has_endowment(sK3),
inference(cnf_transformation,[],[f47]) ).
fof(f59,plain,
organization(sK3),
inference(cnf_transformation,[],[f47]) ).
fof(f7068,plain,
very_low != hazard_of_mortality(sK3,sK5),
inference(forward_demodulation,[],[f7067,f1003]) ).
fof(f1003,plain,
very_low = hazard_of_mortality(sK3,sK4),
inference(unit_resulting_resolution,[],[f59,f511,f86]) ).
fof(f511,plain,
has_immunity(sK3,sK4),
inference(subsumption_resolution,[],[f510,f107]) ).
fof(f510,plain,
( has_immunity(sK3,sK4)
| ~ sP0(sK3) ),
inference(subsumption_resolution,[],[f509,f158]) ).
fof(f158,plain,
smaller_or_equal(zero,eta),
inference(unit_resulting_resolution,[],[f114,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,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,[],[f52]) ).
fof(f52,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/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f114,plain,
smaller(zero,eta),
inference(unit_resulting_resolution,[],[f64,f90]) ).
fof(f90,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,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/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f64,plain,
greater(eta,zero),
inference(cnf_transformation,[],[f47]) ).
fof(f509,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK3,sK4)
| ~ sP0(sK3) ),
inference(superposition,[],[f78,f61]) ).
fof(f61,plain,
zero = age(sK3,sK4),
inference(cnf_transformation,[],[f47]) ).
fof(f7067,plain,
hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4),
inference(subsumption_resolution,[],[f7066,f274]) ).
fof(f274,plain,
greater(mod1,very_low),
inference(unit_resulting_resolution,[],[f75,f76,f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(X0,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f37]) ).
fof(f37,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(f76,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) ).
fof(f75,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).
fof(f7066,plain,
( ~ greater(mod1,very_low)
| hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4) ),
inference(forward_demodulation,[],[f7039,f1003]) ).
fof(f7039,plain,
( ~ greater(mod1,hazard_of_mortality(sK3,sK4))
| hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4) ),
inference(superposition,[],[f106,f7037]) ).
fof(f7037,plain,
mod1 = hazard_of_mortality(sK3,sK6),
inference(subsumption_resolution,[],[f7036,f1004]) ).
fof(f7036,plain,
( very_low != hazard_of_mortality(sK3,sK5)
| mod1 = hazard_of_mortality(sK3,sK6) ),
inference(forward_demodulation,[],[f7035,f1003]) ).
fof(f7035,plain,
( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| mod1 = hazard_of_mortality(sK3,sK6) ),
inference(subsumption_resolution,[],[f7034,f295]) ).
fof(f295,plain,
greater(high,very_low),
inference(unit_resulting_resolution,[],[f73,f273,f97]) ).
fof(f273,plain,
greater(mod2,very_low),
inference(unit_resulting_resolution,[],[f74,f76,f97]) ).
fof(f74,plain,
greater(mod2,low),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
greater(mod2,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e) ).
fof(f73,plain,
greater(high,mod2),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
greater(high,mod2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18d) ).
fof(f7034,plain,
( ~ greater(high,very_low)
| hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| mod1 = hazard_of_mortality(sK3,sK6) ),
inference(forward_demodulation,[],[f7004,f1003]) ).
fof(f7004,plain,
( ~ greater(high,hazard_of_mortality(sK3,sK4))
| hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| mod1 = hazard_of_mortality(sK3,sK6) ),
inference(superposition,[],[f106,f7003]) ).
fof(f7003,plain,
( high = hazard_of_mortality(sK3,sK6)
| mod1 = hazard_of_mortality(sK3,sK6) ),
inference(subsumption_resolution,[],[f7002,f6731]) ).
fof(f6731,plain,
~ is_aligned(sK3,sK6),
inference(unit_resulting_resolution,[],[f1143,f6728,f99]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| ( ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) ) ) )
& ( ( ( ~ is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X0)
| is_aligned(X1,X2) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ( sP2(X2,X0,X1)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) ) )
& ( ( ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ sP2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X2,X0,X1] :
( sP2(X2,X0,X1)
<=> ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f6728,plain,
sP2(sK6,sK3,sK4),
inference(unit_resulting_resolution,[],[f6721,f103]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| sP2(X2,X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ sP2(X2,X0,X1)
| ~ organization(X0) )
& ( ( sP2(X2,X0,X1)
& organization(X0) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ sP2(X2,X0,X1)
| ~ organization(X0) )
& ( ( sP2(X2,X0,X1)
& organization(X0) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( sP2(X2,X0,X1)
& organization(X0) ) ),
inference(definition_folding,[],[f39,f44]) ).
fof(f39,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X4,X3] :
( dissimilar(X0,X4,X3)
<=> ( ~ ( is_aligned(X0,X4)
<=> is_aligned(X0,X3) )
& organization(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(f6721,plain,
dissimilar(sK3,sK4,sK6),
inference(unit_resulting_resolution,[],[f59,f61,f68,f95]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ( ( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2) )
& ( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma) ) )
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,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] :
( ( zero = age(X0,X4)
& organization(X0) )
=> ( greater(age(X0,X3),sigma)
<=> dissimilar(X0,X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).
fof(f68,plain,
greater(age(sK3,sK6),sigma),
inference(cnf_transformation,[],[f47]) ).
fof(f1143,plain,
is_aligned(sK3,sK4),
inference(unit_resulting_resolution,[],[f59,f61,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ organization(X0)
| zero != age(X0,X1)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( 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(f7002,plain,
( is_aligned(sK3,sK6)
| high = hazard_of_mortality(sK3,sK6)
| mod1 = hazard_of_mortality(sK3,sK6) ),
inference(duplicate_literal_removal,[],[f7000]) ).
fof(f7000,plain,
( is_aligned(sK3,sK6)
| high = hazard_of_mortality(sK3,sK6)
| is_aligned(sK3,sK6)
| mod1 = hazard_of_mortality(sK3,sK6) ),
inference(resolution,[],[f6461,f5587]) ).
fof(f5587,plain,
( ~ positional_advantage(sK3,sK6)
| is_aligned(sK3,sK6)
| mod1 = hazard_of_mortality(sK3,sK6) ),
inference(resolution,[],[f83,f824]) ).
fof(f824,plain,
sP1(sK6,sK3),
inference(unit_resulting_resolution,[],[f59,f816,f87]) ).
fof(f87,plain,
! [X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f816,plain,
~ has_immunity(sK3,sK6),
inference(unit_resulting_resolution,[],[f107,f70,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f70,plain,
greater(age(sK3,sK6),eta),
inference(cnf_transformation,[],[f47]) ).
fof(f83,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ positional_advantage(X1,X0)
| is_aligned(X1,X0)
| mod1 = hazard_of_mortality(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( ( high = hazard_of_mortality(X1,X0)
| positional_advantage(X1,X0)
| is_aligned(X1,X0) )
& ( mod2 = hazard_of_mortality(X1,X0)
| positional_advantage(X1,X0)
| ~ is_aligned(X1,X0) )
& ( mod1 = hazard_of_mortality(X1,X0)
| ~ positional_advantage(X1,X0)
| is_aligned(X1,X0) )
& ( low = hazard_of_mortality(X1,X0)
| ~ positional_advantage(X1,X0)
| ~ is_aligned(X1,X0) ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X1,X0] :
( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = 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) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f42]) ).
fof(f6461,plain,
( positional_advantage(sK3,sK6)
| is_aligned(sK3,sK6)
| high = hazard_of_mortality(sK3,sK6) ),
inference(resolution,[],[f85,f824]) ).
fof(f85,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| positional_advantage(X1,X0)
| is_aligned(X1,X0)
| high = hazard_of_mortality(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f106,plain,
( ~ greater(hazard_of_mortality(sK3,sK6),hazard_of_mortality(sK3,sK4))
| hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4) ),
inference(inner_rewriting,[],[f71]) ).
fof(f71,plain,
( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| ~ greater(hazard_of_mortality(sK3,sK6),hazard_of_mortality(sK3,sK5)) ),
inference(cnf_transformation,[],[f47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT065+1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n022.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 : Fri May 3 20:03:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (26264)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (26267)WARNING: value z3 for option sas not known
% 0.14/0.38 % (26265)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (26266)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (26268)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (26267)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)
% 0.14/0.38 % (26269)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)
% 0.14/0.38 % (26270)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)
% 0.14/0.38 % (26271)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [5]
% 0.14/0.40 TRYING [3]
% 0.14/0.40 TRYING [6]
% 0.14/0.42 TRYING [7]
% 0.14/0.43 TRYING [8]
% 0.14/0.43 TRYING [4]
% 0.21/0.45 TRYING [9]
% 0.21/0.48 TRYING [10]
% 0.21/0.51 TRYING [11]
% 0.21/0.53 TRYING [12]
% 0.21/0.55 % (26271)First to succeed.
% 0.21/0.55 % (26271)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26264"
% 0.21/0.55 % (26271)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 % (26271)------------------------------
% 0.21/0.55 % (26271)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.55 % (26271)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (26271)Memory used [KB]: 1679
% 0.21/0.55 % (26271)Time elapsed: 0.170 s
% 0.21/0.55 % (26271)Instructions burned: 434 (million)
% 0.21/0.55 % (26264)Success in time 0.177 s
%------------------------------------------------------------------------------