TSTP Solution File: MGT061+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n019.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 17:51:41 EDT 2022
% Result : Theorem 1.40s 0.53s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 120 ( 27 unt; 0 def)
% Number of atoms : 463 ( 83 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 528 ( 185 ~; 171 |; 124 &)
% ( 14 <=>; 33 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 174 ( 158 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f318,plain,
$false,
inference(subsumption_resolution,[],[f316,f65]) ).
fof(f65,plain,
greater(mod2,low),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
greater(mod2,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18e) ).
fof(f316,plain,
~ greater(mod2,low),
inference(superposition,[],[f243,f313]) ).
fof(f313,plain,
mod2 = hazard_of_mortality(sK1,sK2),
inference(subsumption_resolution,[],[f307,f61]) ).
fof(f61,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).
fof(f307,plain,
( mod2 = hazard_of_mortality(sK1,sK2)
| ~ greater(mod1,low) ),
inference(resolution,[],[f113,f291]) ).
fof(f291,plain,
( ~ greater(high,low)
| mod2 = hazard_of_mortality(sK1,sK2) ),
inference(superposition,[],[f243,f169]) ).
fof(f169,plain,
( high = hazard_of_mortality(sK1,sK2)
| mod2 = hazard_of_mortality(sK1,sK2) ),
inference(resolution,[],[f162,f155]) ).
fof(f155,plain,
( is_aligned(sK1,sK2)
| high = hazard_of_mortality(sK1,sK2) ),
inference(resolution,[],[f132,f120]) ).
fof(f120,plain,
~ positional_advantage(sK1,sK2),
inference(subsumption_resolution,[],[f118,f89]) ).
fof(f89,plain,
fragile_position(sK1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( greater(sigma,zero)
& ~ has_endowment(sK1)
& greater(age(sK1,sK2),sigma)
& smaller_or_equal(age(sK1,sK3),sigma)
& fragile_position(sK1)
& organization(sK1)
& zero = age(sK1,sK0)
& ( ~ greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK3))
| hazard_of_mortality(sK1,sK0) != hazard_of_mortality(sK1,sK3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f56,f57]) ).
fof(f57,plain,
( ? [X0,X1,X2,X3] :
( greater(sigma,zero)
& ~ has_endowment(X1)
& greater(age(X1,X2),sigma)
& smaller_or_equal(age(X1,X3),sigma)
& fragile_position(X1)
& organization(X1)
& zero = age(X1,X0)
& ( ~ greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| hazard_of_mortality(X1,X0) != hazard_of_mortality(X1,X3) ) )
=> ( greater(sigma,zero)
& ~ has_endowment(sK1)
& greater(age(sK1,sK2),sigma)
& smaller_or_equal(age(sK1,sK3),sigma)
& fragile_position(sK1)
& organization(sK1)
& zero = age(sK1,sK0)
& ( ~ greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK3))
| hazard_of_mortality(sK1,sK0) != hazard_of_mortality(sK1,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0,X1,X2,X3] :
( greater(sigma,zero)
& ~ has_endowment(X1)
& greater(age(X1,X2),sigma)
& smaller_or_equal(age(X1,X3),sigma)
& fragile_position(X1)
& organization(X1)
& zero = age(X1,X0)
& ( ~ greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| hazard_of_mortality(X1,X0) != hazard_of_mortality(X1,X3) ) ),
inference(rectify,[],[f44]) ).
fof(f44,plain,
? [X1,X2,X0,X3] :
( greater(sigma,zero)
& ~ has_endowment(X2)
& greater(age(X2,X0),sigma)
& smaller_or_equal(age(X2,X3),sigma)
& fragile_position(X2)
& organization(X2)
& zero = age(X2,X1)
& ( ~ greater(hazard_of_mortality(X2,X0),hazard_of_mortality(X2,X3))
| hazard_of_mortality(X2,X1) != hazard_of_mortality(X2,X3) ) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
? [X0,X3,X1,X2] :
( ( ~ greater(hazard_of_mortality(X2,X0),hazard_of_mortality(X2,X3))
| hazard_of_mortality(X2,X1) != hazard_of_mortality(X2,X3) )
& greater(sigma,zero)
& fragile_position(X2)
& ~ has_endowment(X2)
& organization(X2)
& greater(age(X2,X0),sigma)
& smaller_or_equal(age(X2,X3),sigma)
& zero = age(X2,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X3,X1,X2] :
( ( greater(sigma,zero)
& fragile_position(X2)
& ~ has_endowment(X2)
& organization(X2)
& greater(age(X2,X0),sigma)
& smaller_or_equal(age(X2,X3),sigma)
& zero = age(X2,X1) )
=> ( greater(hazard_of_mortality(X2,X0),hazard_of_mortality(X2,X3))
& hazard_of_mortality(X2,X1) = hazard_of_mortality(X2,X3) ) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X6,X4,X0,X5] :
( ( greater(sigma,zero)
& zero = age(X0,X4)
& greater(age(X0,X6),sigma)
& organization(X0)
& fragile_position(X0)
& ~ has_endowment(X0)
& smaller_or_equal(age(X0,X5),sigma) )
=> ( 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,
! [X6,X4,X0,X5] :
( ( greater(sigma,zero)
& zero = age(X0,X4)
& greater(age(X0,X6),sigma)
& organization(X0)
& fragile_position(X0)
& ~ has_endowment(X0)
& smaller_or_equal(age(X0,X5),sigma) )
=> ( 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(f118,plain,
( ~ positional_advantage(sK1,sK2)
| ~ fragile_position(sK1) ),
inference(resolution,[],[f84,f91]) ).
fof(f91,plain,
greater(age(sK1,sK2),sigma),
inference(cnf_transformation,[],[f58]) ).
fof(f84,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),sigma)
| ~ fragile_position(X0)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,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,[],[f30]) ).
fof(f30,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,[],[f24]) ).
fof(f24,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(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ! [X3] :
( ( smaller_or_equal(age(X0,X3),sigma)
=> positional_advantage(X0,X3) )
& ( greater(age(X0,X3),sigma)
=> ~ positional_advantage(X0,X3) ) )
<=> fragile_position(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3) ).
fof(f132,plain,
! [X0] :
( positional_advantage(sK1,X0)
| is_aligned(sK1,X0)
| high = hazard_of_mortality(sK1,X0) ),
inference(subsumption_resolution,[],[f131,f106]) ).
fof(f106,plain,
! [X0] : ~ has_immunity(sK1,X0),
inference(subsumption_resolution,[],[f105,f92]) ).
fof(f92,plain,
~ has_endowment(sK1),
inference(cnf_transformation,[],[f58]) ).
fof(f105,plain,
! [X0] :
( has_endowment(sK1)
| ~ has_immunity(sK1,X0) ),
inference(resolution,[],[f68,f88]) ).
fof(f88,plain,
organization(sK1),
inference(cnf_transformation,[],[f58]) ).
fof(f68,plain,
! [X0,X1] :
( ~ organization(X1)
| ~ has_immunity(X1,X0)
| has_endowment(X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ~ has_immunity(X1,X0)
| has_endowment(X1)
| ~ organization(X1) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X1,X0] :
( ~ has_immunity(X1,X0)
| has_endowment(X1)
| ~ organization(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ( ~ has_endowment(X1)
& organization(X1) )
=> ~ has_immunity(X1,X0) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X0] :
( ( organization(X0)
& ~ has_endowment(X0) )
=> ~ has_immunity(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).
fof(f131,plain,
! [X0] :
( high = hazard_of_mortality(sK1,X0)
| is_aligned(sK1,X0)
| has_immunity(sK1,X0)
| positional_advantage(sK1,X0) ),
inference(resolution,[],[f74,f88]) ).
fof(f74,plain,
! [X0,X1] :
( ~ organization(X1)
| has_immunity(X1,X0)
| is_aligned(X1,X0)
| high = hazard_of_mortality(X1,X0)
| positional_advantage(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( ( ~ has_immunity(X1,X0)
| very_low = hazard_of_mortality(X1,X0) )
& ( ( ( ~ is_aligned(X1,X0)
| positional_advantage(X1,X0)
| mod2 = hazard_of_mortality(X1,X0) )
& ( ~ positional_advantage(X1,X0)
| is_aligned(X1,X0)
| mod1 = hazard_of_mortality(X1,X0) )
& ( low = hazard_of_mortality(X1,X0)
| ~ is_aligned(X1,X0)
| ~ positional_advantage(X1,X0) )
& ( positional_advantage(X1,X0)
| high = hazard_of_mortality(X1,X0)
| is_aligned(X1,X0) ) )
| has_immunity(X1,X0) ) )
| ~ organization(X1) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( ( ( ( high = hazard_of_mortality(X1,X0)
| is_aligned(X1,X0)
| positional_advantage(X1,X0) )
& ( mod1 = 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)
| positional_advantage(X1,X0)
| ~ is_aligned(X1,X0) ) )
| has_immunity(X1,X0) )
& ( ~ has_immunity(X1,X0)
| very_low = hazard_of_mortality(X1,X0) ) )
| ~ organization(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( organization(X1)
=> ( ( ~ has_immunity(X1,X0)
=> ( ( ( ~ is_aligned(X1,X0)
& ~ positional_advantage(X1,X0) )
=> high = hazard_of_mortality(X1,X0) )
& ( ( positional_advantage(X1,X0)
& ~ is_aligned(X1,X0) )
=> mod1 = hazard_of_mortality(X1,X0) )
& ( ( is_aligned(X1,X0)
& positional_advantage(X1,X0) )
=> low = hazard_of_mortality(X1,X0) )
& ( ( ~ positional_advantage(X1,X0)
& is_aligned(X1,X0) )
=> mod2 = hazard_of_mortality(X1,X0) ) ) )
& ( has_immunity(X1,X0)
=> very_low = 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) = mod1 )
& ( ( ~ 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 ) ) )
& ( has_immunity(X0,X3)
=> hazard_of_mortality(X0,X3) = very_low ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).
fof(f162,plain,
( ~ is_aligned(sK1,sK2)
| mod2 = hazard_of_mortality(sK1,sK2) ),
inference(resolution,[],[f152,f120]) ).
fof(f152,plain,
! [X0] :
( positional_advantage(sK1,X0)
| ~ is_aligned(sK1,X0)
| mod2 = hazard_of_mortality(sK1,X0) ),
inference(subsumption_resolution,[],[f151,f106]) ).
fof(f151,plain,
! [X0] :
( has_immunity(sK1,X0)
| ~ is_aligned(sK1,X0)
| positional_advantage(sK1,X0)
| mod2 = hazard_of_mortality(sK1,X0) ),
inference(resolution,[],[f77,f88]) ).
fof(f77,plain,
! [X0,X1] :
( ~ organization(X1)
| ~ is_aligned(X1,X0)
| has_immunity(X1,X0)
| mod2 = hazard_of_mortality(X1,X0)
| positional_advantage(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f113,plain,
! [X5] :
( greater(high,X5)
| ~ greater(mod1,X5) ),
inference(resolution,[],[f72,f66]) ).
fof(f66,plain,
greater(high,mod1),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
greater(high,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a) ).
fof(f72,plain,
! [X2,X0,X1] :
( ~ greater(X2,X0)
| ~ greater(X0,X1)
| greater(X2,X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( greater(X2,X1)
| ~ greater(X0,X1)
| ~ greater(X2,X0) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X0,X2,X1] :
( greater(X1,X2)
| ~ greater(X0,X2)
| ~ greater(X1,X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X1,X0,X2] :
( greater(X1,X2)
| ~ greater(X0,X2)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X1,X0,X2] :
( ( greater(X0,X2)
& greater(X1,X0) )
=> greater(X1,X2) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f243,plain,
~ greater(hazard_of_mortality(sK1,sK2),low),
inference(subsumption_resolution,[],[f242,f189]) ).
fof(f189,plain,
low = hazard_of_mortality(sK1,sK0),
inference(subsumption_resolution,[],[f188,f116]) ).
fof(f116,plain,
is_aligned(sK1,sK0),
inference(subsumption_resolution,[],[f115,f88]) ).
fof(f115,plain,
( is_aligned(sK1,sK0)
| ~ organization(sK1) ),
inference(trivial_inequality_removal,[],[f114]) ).
fof(f114,plain,
( zero != zero
| ~ organization(sK1)
| is_aligned(sK1,sK0) ),
inference(superposition,[],[f73,f87]) ).
fof(f87,plain,
zero = age(sK1,sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f73,plain,
! [X0,X1] :
( zero != age(X1,X0)
| ~ organization(X1)
| is_aligned(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( is_aligned(X1,X0)
| ~ organization(X1)
| zero != age(X1,X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( is_aligned(X0,X1)
| ~ organization(X0)
| zero != age(X0,X1) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( is_aligned(X0,X1)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,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(f188,plain,
( low = hazard_of_mortality(sK1,sK0)
| ~ is_aligned(sK1,sK0) ),
inference(resolution,[],[f186,f134]) ).
fof(f134,plain,
! [X0] :
( ~ positional_advantage(sK1,X0)
| low = hazard_of_mortality(sK1,X0)
| ~ is_aligned(sK1,X0) ),
inference(subsumption_resolution,[],[f133,f106]) ).
fof(f133,plain,
! [X0] :
( low = hazard_of_mortality(sK1,X0)
| ~ is_aligned(sK1,X0)
| has_immunity(sK1,X0)
| ~ positional_advantage(sK1,X0) ),
inference(resolution,[],[f75,f88]) ).
fof(f75,plain,
! [X0,X1] :
( ~ organization(X1)
| ~ positional_advantage(X1,X0)
| low = hazard_of_mortality(X1,X0)
| ~ is_aligned(X1,X0)
| has_immunity(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f186,plain,
positional_advantage(sK1,sK0),
inference(resolution,[],[f185,f123]) ).
fof(f123,plain,
( ~ smaller_or_equal(zero,sigma)
| positional_advantage(sK1,sK0) ),
inference(subsumption_resolution,[],[f122,f89]) ).
fof(f122,plain,
( ~ fragile_position(sK1)
| ~ smaller_or_equal(zero,sigma)
| positional_advantage(sK1,sK0) ),
inference(superposition,[],[f85,f87]) ).
fof(f85,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),sigma)
| positional_advantage(X0,X1)
| ~ fragile_position(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f185,plain,
smaller_or_equal(zero,sigma),
inference(resolution,[],[f177,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ smaller(X1,X0)
| smaller_or_equal(X1,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( X0 = X1
| smaller(X1,X0)
| ~ smaller_or_equal(X1,X0) )
& ( smaller_or_equal(X1,X0)
| ( X0 != X1
& ~ smaller(X1,X0) ) ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) )
& ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) ) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) )
& ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ( X0 = X1
| smaller(X0,X1) )
<=> smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f177,plain,
smaller(zero,sigma),
inference(resolution,[],[f95,f93]) ).
fof(f93,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f58]) ).
fof(f95,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ~ smaller(X0,X1) )
& ( smaller(X0,X1)
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ( greater(X0,X1)
| ~ smaller(X1,X0) )
& ( smaller(X1,X0)
| ~ greater(X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( greater(X0,X1)
<=> smaller(X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( greater(X1,X0)
<=> smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f242,plain,
( ~ greater(hazard_of_mortality(sK1,sK2),low)
| low != hazard_of_mortality(sK1,sK0) ),
inference(superposition,[],[f86,f235]) ).
fof(f235,plain,
low = hazard_of_mortality(sK1,sK3),
inference(resolution,[],[f220,f156]) ).
fof(f156,plain,
( ~ is_aligned(sK1,sK3)
| low = hazard_of_mortality(sK1,sK3) ),
inference(resolution,[],[f134,f124]) ).
fof(f124,plain,
positional_advantage(sK1,sK3),
inference(subsumption_resolution,[],[f121,f89]) ).
fof(f121,plain,
( ~ fragile_position(sK1)
| positional_advantage(sK1,sK3) ),
inference(resolution,[],[f85,f90]) ).
fof(f90,plain,
smaller_or_equal(age(sK1,sK3),sigma),
inference(cnf_transformation,[],[f58]) ).
fof(f220,plain,
is_aligned(sK1,sK3),
inference(resolution,[],[f212,f124]) ).
fof(f212,plain,
! [X0] :
( ~ positional_advantage(sK1,X0)
| is_aligned(sK1,X0) ),
inference(resolution,[],[f205,f147]) ).
fof(f147,plain,
! [X2] :
( ~ dissimilar(sK1,sK0,X2)
| ~ positional_advantage(sK1,X2) ),
inference(subsumption_resolution,[],[f142,f89]) ).
fof(f142,plain,
! [X2] :
( ~ positional_advantage(sK1,X2)
| ~ fragile_position(sK1)
| ~ dissimilar(sK1,sK0,X2) ),
inference(resolution,[],[f127,f84]) ).
fof(f127,plain,
! [X0] :
( greater(age(sK1,X0),sigma)
| ~ dissimilar(sK1,sK0,X0) ),
inference(subsumption_resolution,[],[f126,f88]) ).
fof(f126,plain,
! [X0] :
( ~ dissimilar(sK1,sK0,X0)
| ~ organization(sK1)
| greater(age(sK1,X0),sigma) ),
inference(trivial_inequality_removal,[],[f125]) ).
fof(f125,plain,
! [X0] :
( zero != zero
| greater(age(sK1,X0),sigma)
| ~ dissimilar(sK1,sK0,X0)
| ~ organization(sK1) ),
inference(superposition,[],[f69,f87]) ).
fof(f69,plain,
! [X2,X0,X1] :
( zero != age(X1,X2)
| ~ dissimilar(X1,X2,X0)
| ~ organization(X1)
| greater(age(X1,X0),sigma) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ( ( dissimilar(X1,X2,X0)
| ~ greater(age(X1,X0),sigma) )
& ( greater(age(X1,X0),sigma)
| ~ dissimilar(X1,X2,X0) ) )
| ~ organization(X1)
| zero != age(X1,X2) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
! [X2,X1,X0] :
( ( ( dissimilar(X1,X0,X2)
| ~ greater(age(X1,X2),sigma) )
& ( greater(age(X1,X2),sigma)
| ~ dissimilar(X1,X0,X2) ) )
| ~ organization(X1)
| zero != age(X1,X0) ),
inference(nnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X2,X1,X0] :
( ( dissimilar(X1,X0,X2)
<=> greater(age(X1,X2),sigma) )
| ~ organization(X1)
| zero != age(X1,X0) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X2,X1,X0] :
( ( dissimilar(X1,X0,X2)
<=> greater(age(X1,X2),sigma) )
| ~ organization(X1)
| zero != age(X1,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X2,X1,X0] :
( ( organization(X1)
& zero = age(X1,X0) )
=> ( 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(f205,plain,
! [X0] :
( dissimilar(sK1,sK0,X0)
| is_aligned(sK1,X0) ),
inference(resolution,[],[f198,f116]) ).
fof(f198,plain,
! [X0,X1] :
( ~ is_aligned(sK1,X1)
| dissimilar(sK1,X1,X0)
| is_aligned(sK1,X0) ),
inference(resolution,[],[f79,f88]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ organization(X2)
| is_aligned(X2,X1)
| ~ is_aligned(X2,X0)
| dissimilar(X2,X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( ( organization(X2)
& ( ~ is_aligned(X2,X1)
| ~ is_aligned(X2,X0) )
& ( is_aligned(X2,X1)
| is_aligned(X2,X0) ) )
| ~ dissimilar(X2,X0,X1) )
& ( dissimilar(X2,X0,X1)
| ~ organization(X2)
| ( ( is_aligned(X2,X0)
| ~ is_aligned(X2,X1) )
& ( is_aligned(X2,X1)
| ~ is_aligned(X2,X0) ) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X2,X1] :
( ( ( organization(X1)
& ( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X2)
| is_aligned(X1,X0) ) )
| ~ dissimilar(X1,X0,X2) )
& ( dissimilar(X1,X0,X2)
| ~ organization(X1)
| ( ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) ) ) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X2,X1] :
( ( ( organization(X1)
& ( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X0) )
& ( is_aligned(X1,X2)
| is_aligned(X1,X0) ) )
| ~ dissimilar(X1,X0,X2) )
& ( dissimilar(X1,X0,X2)
| ~ organization(X1)
| ( ( is_aligned(X1,X0)
| ~ is_aligned(X1,X2) )
& ( is_aligned(X1,X2)
| ~ is_aligned(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X2,X1] :
( ( organization(X1)
& ( is_aligned(X1,X0)
<~> is_aligned(X1,X2) ) )
<=> dissimilar(X1,X0,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ( organization(X1)
& ~ ( is_aligned(X1,X0)
<=> is_aligned(X1,X2) ) )
<=> dissimilar(X1,X0,X2) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X4,X0,X3] :
( dissimilar(X0,X4,X3)
<=> ( organization(X0)
& ~ ( is_aligned(X0,X4)
<=> is_aligned(X0,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(f86,plain,
( ~ greater(hazard_of_mortality(sK1,sK2),hazard_of_mortality(sK1,sK3))
| hazard_of_mortality(sK1,sK0) != hazard_of_mortality(sK1,sK3) ),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT061+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 03:27:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.49 % (29050)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)
% 0.19/0.49 % (29042)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)
% 0.19/0.49 % (29034)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)
% 0.19/0.50 % (29029)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)
% 0.19/0.50 % (29033)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)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 % (29030)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)
% 0.19/0.50 % (29032)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 TRYING [3]
% 0.19/0.50 % (29035)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (29043)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)
% 0.19/0.51 TRYING [4]
% 0.19/0.51 % (29053)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (29048)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)
% 0.19/0.52 TRYING [5]
% 0.19/0.52 % (29031)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)
% 0.19/0.52 % (29056)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (29035)Instruction limit reached!
% 0.19/0.52 % (29035)------------------------------
% 0.19/0.52 % (29035)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (29052)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (29057)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)
% 0.19/0.52 % (29051)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)
% 0.19/0.52 % (29038)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (29035)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (29035)Termination reason: Unknown
% 0.19/0.52 % (29035)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (29035)Memory used [KB]: 5628
% 0.19/0.52 % (29035)Time elapsed: 0.123 s
% 0.19/0.52 % (29035)Instructions burned: 8 (million)
% 0.19/0.52 % (29035)------------------------------
% 0.19/0.52 % (29035)------------------------------
% 1.40/0.52 % (29029)Refutation not found, incomplete strategy% (29029)------------------------------
% 1.40/0.52 % (29029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.52 % (29029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.52 % (29029)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.52
% 1.40/0.52 % (29029)Memory used [KB]: 5500
% 1.40/0.52 % (29029)Time elapsed: 0.128 s
% 1.40/0.52 % (29029)Instructions burned: 4 (million)
% 1.40/0.52 % (29029)------------------------------
% 1.40/0.52 % (29029)------------------------------
% 1.40/0.53 % (29030)First to succeed.
% 1.40/0.53 % (29045)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.53 % (29054)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)
% 1.40/0.53 TRYING [1]
% 1.40/0.53 % (29030)Refutation found. Thanks to Tanya!
% 1.40/0.53 % SZS status Theorem for theBenchmark
% 1.40/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.53 % (29030)------------------------------
% 1.40/0.53 % (29030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (29030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (29030)Termination reason: Refutation
% 1.40/0.53
% 1.40/0.53 % (29030)Memory used [KB]: 1151
% 1.40/0.53 % (29030)Time elapsed: 0.132 s
% 1.40/0.53 % (29030)Instructions burned: 11 (million)
% 1.40/0.53 % (29030)------------------------------
% 1.40/0.53 % (29030)------------------------------
% 1.40/0.53 % (29027)Success in time 0.187 s
%------------------------------------------------------------------------------