%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT061+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:12:59 PM UTC 2026
% Result : Theorem 3.06s 11.18s
% Output : CNFRefutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 20
% Syntax : Number of formulae : 233 ( 54 unt; 5 def)
% Number of atoms : 751 ( 179 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 824 ( 336 ~; 385 |; 75 &)
% ( 9 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 20 ( 18 usr; 9 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 324 ( 0 sgn 316 !; 8 ?; 188 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X1,X0)
& greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
fof(f6,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).
fof(f7,axiom,
! [X0,X1] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) )
& organization(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(f9,axiom,
! [X0,X1] :
( ( age(X0,X1) = zero
& organization(X0) )
=> is_aligned(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( age(X0,X1) = zero
& organization(X0) )
=> ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).
fof(f11,axiom,
! [X0] :
( fragile_position(X0)
<=> ! [X1] :
( ( greater(age(X0,X1),sigma)
=> ~ positional_advantage(X0,X1) )
& ( smaller_or_equal(age(X0,X1),sigma)
=> positional_advantage(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_3) ).
fof(f12,axiom,
! [X0,X1] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X1)
=> ( ( ( ~ positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> hazard_of_mortality(X0,X1) = high )
& ( ( ~ positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod2 )
& ( ( positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod1 )
& ( ( positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> hazard_of_mortality(X0,X1) = low ) ) )
& ( has_immunity(X0,X1)
=> hazard_of_mortality(X0,X1) = very_low ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17) ).
fof(f13,axiom,
greater(high,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a) ).
fof(f14,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).
fof(f18,conjecture,
! [X0,X1,X2,X3] :
( ( greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& greater(sigma,zero)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& fragile_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)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_7) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& greater(sigma,zero)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& fragile_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(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
! [X0] :
( fragile_position(X0)
=> ! [X1] :
( ( greater(age(X0,X1),sigma)
=> ~ positional_advantage(X0,X1) )
& ( smaller_or_equal(age(X0,X1),sigma)
=> positional_advantage(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f21,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( age(X0,X1) != zero
| ~ organization(X0)
| ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0,X1,X2] :
( age(X0,X1) != zero
| ~ organization(X0)
| ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ~ fragile_position(X0)
| ! [X1] :
( ( ~ greater(age(X0,X1),sigma)
| ~ positional_advantage(X0,X1) )
& ( ~ smaller_or_equal(age(X0,X1),sigma)
| positional_advantage(X0,X1) ) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f32,plain,
! [X0,X1] :
( ~ organization(X0)
| ( ( has_immunity(X0,X1)
| ( ( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = high )
& ( positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 )
& ( ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod1 )
& ( ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = low ) ) )
& ( ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0,X1] :
( ~ organization(X0)
| ( ( has_immunity(X0,X1)
| ( ( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = high )
& ( positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 )
& ( ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod1 )
& ( ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = low ) ) )
& ( ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low ) ) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
? [X0,X1,X2,X3] :
( greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& greater(sigma,zero)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& fragile_position(X0)
& organization(X0)
& ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& greater(sigma,zero)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& fragile_position(X0)
& organization(X0)
& ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
inference(flattening,[],[f34]) ).
fof(f36,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(f37,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,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( ~ smaller(X0,X1)
| greater(X1,X0) )
& ( ~ greater(X1,X0)
| smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( ~ dissimilar(X0,X1,X2)
| ( ( is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& organization(X0) ) )
& ( ( ( ~ is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ organization(X0)
| dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( ~ dissimilar(X0,X1,X2)
| ( ( is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& organization(X0) ) )
& ( ( ( ~ is_aligned(X0,X1)
| is_aligned(X0,X2) )
& ( ~ is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ organization(X0)
| dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( age(X0,X1) != zero
| ~ organization(X0)
| ( ( ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2) )
& ( ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f42,plain,
( greater(age(sK0,sK3),sigma)
& smaller_or_equal(age(sK0,sK2),sigma)
& greater(sigma,zero)
& zero = age(sK0,sK1)
& ~ has_endowment(sK0)
& fragile_position(sK0)
& organization(sK0)
& ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f35]) ).
fof(f43,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f44,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f45,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f46,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f48,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f50,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f51,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f58,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f59,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
inference(cnf_transformation,[],[f41]) ).
fof(f60,plain,
! [X0,X1] :
( ~ fragile_position(X0)
| ~ greater(age(X0,X1),sigma)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f61,plain,
! [X0,X1] :
( ~ fragile_position(X0)
| ~ smaller_or_equal(age(X0,X1),sigma)
| positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f62,plain,
! [X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = high ),
inference(cnf_transformation,[],[f33]) ).
fof(f63,plain,
! [X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f64,plain,
! [X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f65,plain,
! [X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = low ),
inference(cnf_transformation,[],[f33]) ).
fof(f67,plain,
greater(high,mod1),
inference(cnf_transformation,[],[f13]) ).
fof(f68,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f14]) ).
fof(f72,plain,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f42]) ).
fof(f74,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f42]) ).
fof(f75,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f42]) ).
fof(f76,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f77,plain,
fragile_position(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f78,plain,
organization(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f79,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f80,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f44]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_50,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f80]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| smaller(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),sigma)
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| ~ fragile_position(X0)
| ~ smaller_or_equal(age(X0,X1),sigma) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( ~ fragile_position(X0)
| ~ positional_advantage(X0,X1)
| ~ greater(age(X0,X1),sigma) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = low )
| ~ organization(X0)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod1 )
| ~ organization(X0)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = high )
| ~ organization(X0) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_73,plain,
greater(high,mod1),
inference(cnf_transformation,[],[f67]) ).
tcf(c_74,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f68]) ).
tcf(c_78,negated_conjecture,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_79,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f78]) ).
tcf(c_80,negated_conjecture,
fragile_position(sK0),
inference(cnf_transformation,[],[f77]) ).
tcf(c_81,negated_conjecture,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f76]) ).
tcf(c_82,negated_conjecture,
age(sK0,sK1) = zero,
inference(cnf_transformation,[],[f75]) ).
tcf(c_83,negated_conjecture,
greater(sigma,zero),
inference(cnf_transformation,[],[f74]) ).
tcf(c_84,negated_conjecture,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f73]) ).
tcf(c_85,negated_conjecture,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f72]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero )
| ~ dissimilar(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_60,c_64]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| ( age(X0,X1) != zero ) ),
inference(renaming,[status(thm)],[c_105]) ).
tcf(c_450,plain,
! [X0: $i,X1: $i] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_81]) ).
tcf(c_451,plain,
! [X0: $i] :
( ~ organization(sK0)
| ~ has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_450]) ).
tcf(c_453,plain,
! [X0: $i] : ~ has_immunity(sK0,X0),
inference(global_subsumption_just,[status(thm)],[c_451,c_79,c_451]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i] :
( ~ positional_advantage(X0,X1)
| ~ greater(age(X0,X1),sigma)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_80]) ).
tcf(c_461,plain,
! [X0: $i] :
( ~ positional_advantage(sK0,X0)
| ~ greater(age(sK0,X0),sigma) ),
inference(unflattening,[status(thm)],[c_460]) ).
tcf(c_469,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),sigma)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_80]) ).
tcf(c_470,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ~ smaller_or_equal(age(sK0,X0),sigma) ),
inference(unflattening,[status(thm)],[c_469]) ).
tcf(c_486,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != sigma )
| ( age(sK0,sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_84]) ).
tcf(c_487,plain,
( smaller(age(sK0,sK2),sigma)
| ( age(sK0,sK2) = sigma ) ),
inference(unflattening,[status(thm)],[c_486]) ).
tcf(c_494,plain,
! [X0: $i,X1: $i,X2: $i] :
( positional_advantage(sK0,X0)
| ~ smaller(X1,X2)
| ( X2 != sigma )
| ( age(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_470]) ).
tcf(c_495,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ~ smaller(age(sK0,X0),sigma) ),
inference(unflattening,[status(thm)],[c_494]) ).
tcf(c_503,plain,
! [X0: $i,X1: $i] :
( positional_advantage(sK0,X0)
| ( X1 != sigma )
| ( age(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_470]) ).
tcf(c_504,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( age(sK0,X0) != sigma ) ),
inference(unflattening,[status(thm)],[c_503]) ).
tcf(c_512,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( sigma != sigma )
| ( age(sK0,X0) != age(sK0,sK2) ) ),
inference(resolution_lifted,[status(thm)],[c_84,c_470]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ( age(sK0,sK2) = sigma )
| ( X1 != sigma )
| ( age(sK0,sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_487]) ).
tcf(c_547,plain,
( greater(sigma,age(sK0,sK2))
| ( age(sK0,sK2) = sigma ) ),
inference(unflattening,[status(thm)],[c_546]) ).
tcf(c_554,plain,
! [X0: $i,X1: $i,X2: $i] :
( positional_advantage(sK0,X0)
| greater(X1,X2)
| ( X1 = X2 )
| ( X2 != sigma )
| ( age(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_495]) ).
tcf(c_555,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| greater(age(sK0,X0),sigma)
| ( age(sK0,X0) = sigma ) ),
inference(unflattening,[status(thm)],[c_554]) ).
tcf(c_557,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| greater(age(sK0,X0),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_555,c_504,c_555]) ).
tcf(c_660,plain,
! [X0: $i,X1: $i,X2: $i] :
( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| ( hazard_of_mortality(X0,X1) = high )
| ~ organization(X0)
| ( X1 != X2 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_72,c_453]) ).
tcf(c_661,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = high )
| ~ organization(sK0) ),
inference(unflattening,[status(thm)],[c_660]) ).
tcf(c_663,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = high ) ),
inference(global_subsumption_just,[status(thm)],[c_661,c_79,c_661]) ).
tcf(c_675,plain,
! [X0: $i,X1: $i,X2: $i] :
( positional_advantage(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| ( X1 != X2 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_71,c_453]) ).
tcf(c_676,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ organization(sK0)
| ~ is_aligned(sK0,X0) ),
inference(unflattening,[status(thm)],[c_675]) ).
tcf(c_690,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod1 )
| ~ organization(X0)
| ~ positional_advantage(X0,X1)
| ( X1 != X2 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_70,c_453]) ).
tcf(c_691,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ organization(sK0)
| ~ positional_advantage(sK0,X0) ),
inference(unflattening,[status(thm)],[c_690]) ).
tcf(c_705,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hazard_of_mortality(X0,X1) = low )
| ~ organization(X0)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| ( X1 != X2 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_69,c_453]) ).
tcf(c_706,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ organization(sK0)
| ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(unflattening,[status(thm)],[c_705]) ).
tcf(c_708,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ is_aligned(sK0,X0)
| ~ positional_advantage(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_706,c_79,c_706]) ).
tcf(c_709,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(renaming,[status(thm)],[c_708]) ).
tcf(c_759,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ organization(X0)
| ~ is_aligned(X2,X5)
| ~ is_aligned(X2,X3)
| ~ greater(age(X0,X4),sigma)
| ( X4 != X5 )
| ( X1 != X3 )
| ( X0 != X2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_61]) ).
tcf(c_760,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero ) ),
inference(unflattening,[status(thm)],[c_759]) ).
tcf(c_762,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ( age(X0,X1) != zero )
| ~ greater(age(X0,X2),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_760,c_63,c_760]) ).
tcf(c_763,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ~ greater(age(X0,X2),sigma)
| ( age(X0,X1) != zero ) ),
inference(renaming,[status(thm)],[c_762]) ).
tcf(c_778,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_aligned(X2,X4)
| greater(age(X0,X5),sigma)
| ~ organization(X2)
| ~ is_aligned(X2,X3)
| ( X4 != X5 )
| ( X1 != X3 )
| ( X0 != X2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_106]) ).
tcf(c_779,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),sigma)
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| ( age(X0,X1) != zero ) ),
inference(unflattening,[status(thm)],[c_778]) ).
tcf(c_780,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),sigma)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(global_subsumption_just,[status(thm)],[c_779,c_63,c_779]) ).
tcf(c_819,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),sigma)
| ( X0 != sK0 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_780,c_79]) ).
tcf(c_820,plain,
! [X0: $i,X1: $i] :
( is_aligned(sK0,X1)
| greater(age(sK0,X1),sigma)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_819]) ).
tcf(c_831,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ greater(age(X0,X2),sigma)
| ( X0 != sK0 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_763,c_79]) ).
tcf(c_832,plain,
! [X0: $i,X1: $i] :
( ~ is_aligned(sK0,X1)
| ~ greater(age(sK0,X1),sigma)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_831]) ).
tcf(c_843,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = high )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_72,c_79]) ).
tcf(c_844,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| has_immunity(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = high ) ),
inference(unflattening,[status(thm)],[c_843]) ).
tcf(c_845,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = high ) ),
inference(global_subsumption_just,[status(thm)],[c_844,c_663]) ).
tcf(c_856,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ~ is_aligned(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_71,c_79]) ).
tcf(c_857,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| has_immunity(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ is_aligned(sK0,X0) ),
inference(unflattening,[status(thm)],[c_856]) ).
tcf(c_858,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 ) ),
inference(global_subsumption_just,[status(thm)],[c_857,c_79,c_676]) ).
tcf(c_859,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ is_aligned(sK0,X0) ),
inference(renaming,[status(thm)],[c_858]) ).
tcf(c_869,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod1 )
| ~ positional_advantage(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_70,c_79]) ).
tcf(c_870,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| has_immunity(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ positional_advantage(sK0,X0) ),
inference(unflattening,[status(thm)],[c_869]) ).
tcf(c_871,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ~ positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 ) ),
inference(global_subsumption_just,[status(thm)],[c_870,c_79,c_691]) ).
tcf(c_872,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ positional_advantage(sK0,X0) ),
inference(renaming,[status(thm)],[c_871]) ).
tcf(c_882,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = low )
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_69,c_79]) ).
tcf(c_883,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(unflattening,[status(thm)],[c_882]) ).
tcf(c_884,plain,
! [X0: $i] :
( ~ is_aligned(sK0,X0)
| ~ positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = low ) ),
inference(global_subsumption_just,[status(thm)],[c_883,c_709]) ).
tcf(c_885,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(renaming,[status(thm)],[c_884]) ).
tcf(c_1127,plain,
! [X0: $i,X1: $i] :
( greater(age(sK0,X0),sigma)
| ( hazard_of_mortality(sK0,X1) = low )
| ~ is_aligned(sK0,X1)
| ( sK0 != sK0 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_557,c_885]) ).
tcf(c_1128,plain,
! [X0: $i] :
( greater(age(sK0,X0),sigma)
| ( hazard_of_mortality(sK0,X0) = low )
| ~ is_aligned(sK0,X0) ),
inference(unflattening,[status(thm)],[c_1127]) ).
tcf(c_1259,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( age(sK0,X0) != age(sK0,sK2) ) ),
inference(equality_resolution_simp,[status(thm)],[c_512]) ).
tcf(c_1275,plain,
! [X0: $i] :
( ( age(sK0,X0) != age(sK0,sK2) )
| positional_advantage(sK0,X0) ),
inference(prop_impl_just,[status(thm)],[c_1259]) ).
tcf(c_1276,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( age(sK0,X0) != age(sK0,sK2) ) ),
inference(renaming,[status(thm)],[c_1275]) ).
tcf(c_1279,plain,
( greater(sigma,age(sK0,sK2))
| ( age(sK0,sK2) = sigma ) ),
inference(prop_impl_just,[status(thm)],[c_547]) ).
tcf(c_1830,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ greater(age(sK0,X0),sigma)
| ~ is_aligned(sK0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_832]) ).
tcf(c_1831,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sK0,X0) != zero ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_832]) ).
tcf(c_1832,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_832]) ).
tcf(c_1833,plain,
! [X0: $i] :
( ~ iPr_def_12
| greater(age(sK0,X0),sigma)
| is_aligned(sK0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_820]) ).
tcf(c_1834,plain,
( iPr_def_12
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_820]) ).
tcf(c_1835,definition,
iPr_def_13 = age(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_1836,definition,
iPr_def_14 = age(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1837,definition,
iPr_def_15 = hazard_of_mortality(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_1838,definition,
iPr_def_16 = hazard_of_mortality(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_1839,definition,
iPr_def_17 = hazard_of_mortality(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_1840,plain,
( iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_1832]) ).
tcf(c_1842,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ is_aligned(sK0,X0)
| ~ greater(age(sK0,X0),sigma) ),
inference(demodulation,[status(thm)],[c_1830]) ).
tcf(c_1843,plain,
( iPr_def_12
| iPr_def_11 ),
inference(demodulation,[status(thm)],[c_1834]) ).
tcf(c_1844,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sK0,X0) != zero ) ),
inference(demodulation,[status(thm)],[c_1831]) ).
tcf(c_1845,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| greater(age(sK0,X0),sigma)
| ~ iPr_def_12 ),
inference(demodulation,[status(thm)],[c_1833]) ).
tcf(c_1846,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(demodulation,[status(thm)],[c_885]) ).
tcf(c_1847,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ positional_advantage(sK0,X0) ),
inference(demodulation,[status(thm)],[c_872]) ).
tcf(c_1848,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ is_aligned(sK0,X0) ),
inference(demodulation,[status(thm)],[c_859]) ).
tcf(c_1849,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = high ) ),
inference(demodulation,[status(thm)],[c_845]) ).
tcf(c_1850,negated_conjecture,
greater(iPr_def_13,sigma),
inference(demodulation,[status(thm)],[c_85,c_1835]) ).
tcf(c_1851,negated_conjecture,
greater(sigma,zero),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_1852,negated_conjecture,
iPr_def_14 = zero,
inference(demodulation,[status(thm)],[c_82,c_1836]) ).
tcf(c_1853,negated_conjecture,
( ~ greater(iPr_def_17,iPr_def_15)
| ( iPr_def_15 != iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_78,c_1839,c_1838,c_1837]) ).
tcf(c_1854,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1869,plain,
! [X0: $i] :
( ~ greater(age(sK0,X0),sigma)
| ~ positional_advantage(sK0,X0) ),
inference(prop_impl_just,[status(thm)],[c_461]) ).
tcf(c_1870,plain,
! [X0: $i] :
( ~ positional_advantage(sK0,X0)
| ~ greater(age(sK0,X0),sigma) ),
inference(renaming,[status(thm)],[c_1869]) ).
tcf(c_1871,plain,
! [X0: $i] :
( greater(age(sK0,X0),sigma)
| positional_advantage(sK0,X0) ),
inference(prop_impl_just,[status(thm)],[c_504,c_555]) ).
tcf(c_1872,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| greater(age(sK0,X0),sigma) ),
inference(renaming,[status(thm)],[c_1871]) ).
tcf(c_1972,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ~ iPr_def_10
| ~ is_aligned(sK0,X0) ),
inference(bin_hyper_res,[status(thm)],[c_1842,c_1872]) ).
tcf(c_1973,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ~ iPr_def_12
| ~ positional_advantage(sK0,X0) ),
inference(bin_hyper_res,[status(thm)],[c_1845,c_1870]) ).
tcf(c_2404,plain,
greater(sigma,iPr_def_14),
inference(light_normalisation,[status(thm)],[c_1851,c_1852]) ).
tcf(c_2415,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sK0,X0) != iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_1844,c_1852]) ).
tcf(c_2432,plain,
( is_aligned(sK0,sK1)
| greater(iPr_def_14,sigma)
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_1836,c_1845]) ).
tcf(c_2433,plain,
~ iPr_def_11,
inference(superposition,[status(thm)],[c_1836,c_2415]) ).
tcf(c_2437,plain,
iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_1843,c_2433]) ).
tcf(c_2438,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_1840,c_2433]) ).
tcf(c_2439,plain,
( is_aligned(sK0,sK1)
| greater(iPr_def_14,sigma) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2432,c_2437]) ).
tcf(c_2442,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| greater(age(sK0,X0),sigma) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1845,c_2437]) ).
tcf(c_2448,plain,
! [X0: $i] :
( ~ greater(age(sK0,X0),sigma)
| ~ is_aligned(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1842,c_1842,c_2438]) ).
tcf(c_2449,plain,
! [X0: $i] :
( ~ is_aligned(sK0,X0)
| ~ greater(age(sK0,X0),sigma) ),
inference(renaming,[status(thm)],[c_2448]) ).
tcf(c_2456,plain,
( ~ is_aligned(sK0,sK3)
| ~ greater(iPr_def_13,sigma) ),
inference(superposition,[status(thm)],[c_1835,c_2449]) ).
tcf(c_2457,plain,
~ is_aligned(sK0,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_2456,c_1850]) ).
tcf(c_2460,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = high ) ),
inference(global_subsumption_just,[status(thm)],[c_1849,c_79,c_661,c_1972,c_2438]) ).
tcf(c_2467,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ~ positional_advantage(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1847,c_1973,c_2437]) ).
tcf(c_2474,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = high ) ),
inference(superposition,[status(thm)],[c_2460,c_2467]) ).
tcf(c_2478,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1848,c_1972,c_2438]) ).
tcf(c_2485,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1846,c_461,c_1128,c_1973,c_2437]) ).
tcf(c_2506,plain,
~ greater(iPr_def_14,sigma),
inference(superposition,[status(thm)],[c_2404,c_54]) ).
tcf(c_2513,plain,
! [X0: $i] :
( greater(high,X0)
| ~ greater(mod1,X0) ),
inference(superposition,[status(thm)],[c_73,c_55]) ).
tcf(c_2565,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ~ greater(sigma,age(sK0,X0)) ),
inference(superposition,[status(thm)],[c_2442,c_54]) ).
tcf(c_2613,plain,
greater(high,low),
inference(superposition,[status(thm)],[c_74,c_2513]) ).
tcf(c_2626,plain,
is_aligned(sK0,sK1),
inference(global_subsumption_just,[status(thm)],[c_2439,c_2439,c_2506]) ).
tcf(c_2628,plain,
positional_advantage(sK0,sK1),
inference(superposition,[status(thm)],[c_2626,c_2478]) ).
tcf(c_2629,plain,
hazard_of_mortality(sK0,sK1) = low,
inference(superposition,[status(thm)],[c_2628,c_2485]) ).
tcf(c_2631,plain,
low = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_2629,c_1838]) ).
tcf(c_2633,plain,
greater(high,iPr_def_16),
inference(demodulation,[status(thm)],[c_2613,c_2631]) ).
tcf(c_2638,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = iPr_def_16 )
| ~ positional_advantage(sK0,X0) ),
inference(demodulation,[status(thm)],[c_2485,c_2631]) ).
tcf(c_2670,plain,
hazard_of_mortality(sK0,sK3) = high,
inference(superposition,[status(thm)],[c_2474,c_2457]) ).
tcf(c_2671,plain,
high = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_2670,c_1839]) ).
tcf(c_2673,plain,
greater(iPr_def_17,iPr_def_16),
inference(demodulation,[status(thm)],[c_2633,c_2671]) ).
tcf(c_2776,plain,
( is_aligned(sK0,sK2)
| ( age(sK0,sK2) = sigma ) ),
inference(superposition,[status(thm)],[c_1279,c_2565]) ).
tcf(c_2794,plain,
( positional_advantage(sK0,sK2)
| ( age(sK0,sK2) != age(sK0,sK2) ) ),
inference(instantiation,[status(thm)],[c_1276]) ).
tcf(c_2795,plain,
age(sK0,sK2) = age(sK0,sK2),
inference(instantiation,[status(thm)],[c_1854]) ).
tcf(c_2909,plain,
( positional_advantage(sK0,sK2)
| ( age(sK0,sK2) = sigma ) ),
inference(superposition,[status(thm)],[c_2776,c_2478]) ).
tcf(c_2912,plain,
positional_advantage(sK0,sK2),
inference(global_subsumption_just,[status(thm)],[c_2909,c_2794,c_2795]) ).
tcf(c_2914,plain,
hazard_of_mortality(sK0,sK2) = iPr_def_16,
inference(superposition,[status(thm)],[c_2912,c_2638]) ).
tcf(c_2916,plain,
iPr_def_15 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_2914,c_1837]) ).
tcf(c_2917,plain,
~ greater(iPr_def_17,iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_1853,c_2916]) ).
tcf(c_2926,plain,
greater(iPr_def_17,iPr_def_15),
inference(demodulation,[status(thm)],[c_2673,c_2916]) ).
tcf(c_2943,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2926,c_2917]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT061+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/10.38 % Computer : n011.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Thu Sep 24 01:17:24 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/10.41 Running first-order theorem proving
% 0.14/10.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/10.42
% 0.14/10.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.42
% 0.14/10.42 % Detected problem language: tptp
% 0.14/10.43 % Proving...
% 3.06/11.18 % SZS status Started for theBenchmark.p
% 3.06/11.18 % SZS status Theorem for theBenchmark.p
% 3.06/11.18
% 3.06/11.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.06/11.18
% 3.06/11.18 % ------ iProver source info
% 3.06/11.18
% 3.06/11.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.06/11.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.06/11.18 % git: non_committed_changes: false
% 3.06/11.18
% 3.06/11.18 % ------ Parsing...
% 3.06/11.18 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.06/11.18
% 3.06/11.18 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 5 0s sf_e pe_s pe_e %
% 3.06/11.18
% 3.06/11.18 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.06/11.18
% 3.06/11.18 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.06/11.18 % ------ Proving...
% 3.06/11.18 % ------ Problem Properties
% 3.06/11.18
% 3.06/11.18 %
% 3.06/11.18 % clauses 33
% 3.06/11.18 % conjectures 4
% 3.06/11.18 % EPR 14
% 3.06/11.18 % Horn 24
% 3.06/11.18 % unary 13
% 3.06/11.18 % binary 12
% 3.06/11.18 % lits 61
% 3.06/11.18 % lits eq 17
% 3.06/11.18 % fd_pure 0
% 3.06/11.18 % fd_pseudo 0
% 3.06/11.18 % fd_cond 0
% 3.06/11.18 % fd_pseudo_cond 1
% 3.06/11.18 % AC symbols 0
% 3.06/11.18
% 3.06/11.18 % ------ Schedule dynamic 5 is on
% 3.06/11.18
% 3.06/11.18 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.06/11.18
% 3.06/11.18
% 3.06/11.18 % ------
% 3.06/11.18 % Current options:
% 3.06/11.18 % ------
% 3.06/11.18
% 3.06/11.18
% 3.06/11.18 %
% 3.06/11.18
% 3.06/11.18 % ------ Proving...
% 3.06/11.18 %
% 3.06/11.18
% 3.06/11.18 % SZS status Theorem for theBenchmark.p
% 3.06/11.18
% 3.06/11.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.06/11.18
% 3.06/11.18
%------------------------------------------------------------------------------