%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT062+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 1.84s 1.28s
% Output : CNFRefutation 1.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 19
% Syntax : Number of formulae : 267 ( 64 unt; 6 def)
% Number of atoms : 900 ( 255 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 930 ( 396 ~; 421 |; 85 &)
% ( 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 : 22 ( 20 usr; 11 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 343 ( 0 sgn 335 !; 8 ?; 201 :)
% 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] :
( robust_position(X0)
<=> ! [X1] :
( ( greater(age(X0,X1),tau)
=> positional_advantage(X0,X1) )
& ( smaller_or_equal(age(X0,X1),tau)
=> ~ positional_advantage(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4) ).
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(mod2,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_19) ).
fof(f14,conjecture,
! [X0,X1,X2,X3] :
( ( greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
& smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_8) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
& smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0] :
( robust_position(X0)
=> ! [X1] :
( ( greater(age(X0,X1),tau)
=> positional_advantage(X0,X1) )
& ( smaller_or_equal(age(X0,X1),tau)
=> ~ positional_advantage(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f17,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f21,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f23,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f24,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( age(X0,X1) != zero
| ~ organization(X0)
| ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f26,plain,
! [X0,X1,X2] :
( age(X0,X1) != zero
| ~ organization(X0)
| ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ~ robust_position(X0)
| ! [X1] :
( ( ~ greater(age(X0,X1),tau)
| positional_advantage(X0,X1) )
& ( ~ smaller_or_equal(age(X0,X1),tau)
| ~ positional_advantage(X0,X1) ) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f28,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(f29,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,[],[f28]) ).
fof(f30,plain,
? [X0,X1,X2,X3] :
( greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0)
& ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f31,plain,
? [X0,X1,X2,X3] :
( greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(X0,X1) = zero
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0)
& ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
inference(flattening,[],[f30]) ).
fof(f32,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(f33,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,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( ~ smaller(X0,X1)
| greater(X1,X0) )
& ( ~ greater(X1,X0)
| smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f35,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,[],[f22]) ).
fof(f36,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,[],[f35]) ).
fof(f37,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,[],[f26]) ).
fof(f38,plain,
( greater(age(sK0,sK3),sigma)
& smaller_or_equal(age(sK0,sK2),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(sK0,sK1)
& ~ has_endowment(sK0)
& robust_position(sK0)
& organization(sK0)
& ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ smaller(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)],[f31]) ).
fof(f39,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f40,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f41,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f42,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f44,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f46,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f47,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f53,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
! [X0,X1] :
( ~ robust_position(X0)
| ~ greater(age(X0,X1),tau)
| positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f57,plain,
! [X0,X1] :
( ~ robust_position(X0)
| ~ smaller_or_equal(age(X0,X1),tau)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f59,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,[],[f29]) ).
fof(f60,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,[],[f29]) ).
fof(f61,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,[],[f29]) ).
fof(f63,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f13]) ).
fof(f64,plain,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f38]) ).
fof(f65,plain,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f38]) ).
fof(f66,plain,
sigma = tau,
inference(cnf_transformation,[],[f38]) ).
fof(f67,plain,
greater(tau,zero),
inference(cnf_transformation,[],[f38]) ).
fof(f69,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f70,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f71,plain,
robust_position(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f72,plain,
organization(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f73,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f74,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),tau) ),
inference(definition_unfolding,[],[f55,f66]) ).
fof(f75,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ greater(age(X0,X2),tau)
| dissimilar(X0,X1,X2) ),
inference(definition_unfolding,[],[f54,f66]) ).
fof(f77,plain,
smaller_or_equal(age(sK0,sK2),tau),
inference(definition_unfolding,[],[f65,f66]) ).
fof(f78,plain,
greater(age(sK0,sK3),tau),
inference(definition_unfolding,[],[f64,f66]) ).
fof(f79,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f40]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_50,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f79]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| smaller(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
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,[],[f51]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f50]) ).
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,[],[f49]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_64,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),tau)
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_65,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ greater(age(X0,X2),tau)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f75]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ~ robust_position(X0)
| ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| ~ robust_position(X0)
| ~ greater(age(X0,X1),tau) ),
inference(cnf_transformation,[],[f56]) ).
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,[],[f61]) ).
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,[],[f60]) ).
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,[],[f59]) ).
tcf(c_73,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f63]) ).
tcf(c_74,negated_conjecture,
( ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_75,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f72]) ).
tcf(c_76,negated_conjecture,
robust_position(sK0),
inference(cnf_transformation,[],[f71]) ).
tcf(c_77,negated_conjecture,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f70]) ).
tcf(c_78,negated_conjecture,
age(sK0,sK1) = zero,
inference(cnf_transformation,[],[f69]) ).
tcf(c_80,negated_conjecture,
greater(tau,zero),
inference(cnf_transformation,[],[f67]) ).
tcf(c_81,negated_conjecture,
smaller_or_equal(age(sK0,sK2),tau),
inference(cnf_transformation,[],[f77]) ).
tcf(c_82,negated_conjecture,
greater(age(sK0,sK3),tau),
inference(cnf_transformation,[],[f78]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),tau)
| ( age(X0,X1) != zero )
| ~ dissimilar(X0,X1,X2) ),
inference(global_subsumption_just,[status(thm)],[c_64,c_60,c_64]) ).
tcf(c_103,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( greater(age(X0,X2),tau)
| ~ dissimilar(X0,X1,X2)
| ( age(X0,X1) != zero ) ),
inference(renaming,[status(thm)],[c_102]) ).
tcf(c_440,plain,
! [X0: $i,X1: $i] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_77]) ).
tcf(c_441,plain,
! [X0: $i] :
( ~ organization(sK0)
| ~ has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_440]) ).
tcf(c_443,plain,
! [X0: $i] : ~ has_immunity(sK0,X0),
inference(global_subsumption_just,[status(thm)],[c_441,c_75,c_441]) ).
tcf(c_450,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| ~ greater(age(X0,X1),tau)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_67,c_76]) ).
tcf(c_451,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ~ greater(age(sK0,X0),tau) ),
inference(unflattening,[status(thm)],[c_450]) ).
tcf(c_459,plain,
! [X0: $i,X1: $i] :
( ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_66,c_76]) ).
tcf(c_460,plain,
! [X0: $i] :
( ~ positional_advantage(sK0,X0)
| ~ smaller_or_equal(age(sK0,X0),tau) ),
inference(unflattening,[status(thm)],[c_459]) ).
tcf(c_476,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != tau )
| ( age(sK0,sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_81]) ).
tcf(c_477,plain,
( smaller(age(sK0,sK2),tau)
| ( age(sK0,sK2) = tau ) ),
inference(unflattening,[status(thm)],[c_476]) ).
tcf(c_484,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ positional_advantage(sK0,X0)
| ~ smaller(X1,X2)
| ( X2 != tau )
| ( age(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_460]) ).
tcf(c_485,plain,
! [X0: $i] :
( ~ positional_advantage(sK0,X0)
| ~ smaller(age(sK0,X0),tau) ),
inference(unflattening,[status(thm)],[c_484]) ).
tcf(c_493,plain,
! [X0: $i,X1: $i] :
( ~ positional_advantage(sK0,X0)
| ( X1 != tau )
| ( age(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_460]) ).
tcf(c_494,plain,
! [X0: $i] :
( ~ positional_advantage(sK0,X0)
| ( age(sK0,X0) != tau ) ),
inference(unflattening,[status(thm)],[c_493]) ).
tcf(c_536,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ( X0 = X1 )
| ( hazard_of_mortality(sK0,sK2) != X1 )
| ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) )
| ( hazard_of_mortality(sK0,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_74]) ).
tcf(c_537,plain,
( greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| ( hazard_of_mortality(sK0,sK3) = hazard_of_mortality(sK0,sK2) )
| ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
inference(unflattening,[status(thm)],[c_536]) ).
tcf(c_547,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ( age(sK0,sK2) = tau )
| ( X1 != tau )
| ( age(sK0,sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_477]) ).
tcf(c_548,plain,
( greater(tau,age(sK0,sK2))
| ( age(sK0,sK2) = tau ) ),
inference(unflattening,[status(thm)],[c_547]) ).
tcf(c_555,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X1,X2)
| ( X1 = X2 )
| ~ positional_advantage(sK0,X0)
| ( X2 != tau )
| ( age(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_485]) ).
tcf(c_556,plain,
! [X0: $i] :
( greater(age(sK0,X0),tau)
| ( age(sK0,X0) = tau )
| ~ positional_advantage(sK0,X0) ),
inference(unflattening,[status(thm)],[c_555]) ).
tcf(c_558,plain,
! [X0: $i] :
( greater(age(sK0,X0),tau)
| ~ positional_advantage(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_556,c_494,c_556]) ).
tcf(c_567,plain,
! [X0: $i,X1: $i] :
( ~ greater(X0,X1)
| ( hazard_of_mortality(sK0,sK2) != X0 )
| ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) )
| ( hazard_of_mortality(sK0,sK3) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_74]) ).
tcf(c_568,plain,
( ~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3))
| ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
inference(unflattening,[status(thm)],[c_567]) ).
tcf(c_703,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_443]) ).
tcf(c_704,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ organization(sK0)
| ~ is_aligned(sK0,X0) ),
inference(unflattening,[status(thm)],[c_703]) ).
tcf(c_706,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ is_aligned(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_704,c_75,c_704]) ).
tcf(c_718,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_443]) ).
tcf(c_719,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ organization(sK0)
| ~ positional_advantage(sK0,X0) ),
inference(unflattening,[status(thm)],[c_718]) ).
tcf(c_733,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_443]) ).
tcf(c_734,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ organization(sK0)
| ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(unflattening,[status(thm)],[c_733]) ).
tcf(c_787,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),tau)
| ( X4 != X5 )
| ( X1 != X3 )
| ( X0 != X2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_65,c_61]) ).
tcf(c_788,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ greater(age(X0,X2),tau)
| ( age(X0,X1) != zero ) ),
inference(unflattening,[status(thm)],[c_787]) ).
tcf(c_790,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ( age(X0,X1) != zero )
| ~ greater(age(X0,X2),tau) ),
inference(global_subsumption_just,[status(thm)],[c_788,c_63,c_788]) ).
tcf(c_791,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ organization(X0)
| ~ is_aligned(X0,X2)
| ~ greater(age(X0,X2),tau)
| ( age(X0,X1) != zero ) ),
inference(renaming,[status(thm)],[c_790]) ).
tcf(c_806,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( is_aligned(X2,X4)
| greater(age(X0,X5),tau)
| ~ organization(X2)
| ~ is_aligned(X2,X3)
| ( X4 != X5 )
| ( X1 != X3 )
| ( X0 != X2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_103]) ).
tcf(c_807,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),tau)
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| ( age(X0,X1) != zero ) ),
inference(unflattening,[status(thm)],[c_806]) ).
tcf(c_808,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),tau)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(global_subsumption_just,[status(thm)],[c_807,c_63,c_807]) ).
tcf(c_847,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),tau)
| ( X0 != sK0 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_808,c_75]) ).
tcf(c_848,plain,
! [X0: $i,X1: $i] :
( is_aligned(sK0,X1)
| greater(age(sK0,X1),tau)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_847]) ).
tcf(c_859,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ greater(age(X0,X2),tau)
| ( X0 != sK0 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_791,c_75]) ).
tcf(c_860,plain,
! [X0: $i,X1: $i] :
( ~ is_aligned(sK0,X1)
| ~ greater(age(sK0,X1),tau)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_859]) ).
tcf(c_884,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_75]) ).
tcf(c_885,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_884]) ).
tcf(c_886,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 ) ),
inference(global_subsumption_just,[status(thm)],[c_885,c_706]) ).
tcf(c_887,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ is_aligned(sK0,X0) ),
inference(renaming,[status(thm)],[c_886]) ).
tcf(c_897,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_75]) ).
tcf(c_898,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_897]) ).
tcf(c_899,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ~ positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 ) ),
inference(global_subsumption_just,[status(thm)],[c_898,c_75,c_719]) ).
tcf(c_900,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ positional_advantage(sK0,X0) ),
inference(renaming,[status(thm)],[c_899]) ).
tcf(c_910,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_75]) ).
tcf(c_911,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_910]) ).
tcf(c_912,plain,
! [X0: $i] :
( ~ is_aligned(sK0,X0)
| ~ positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = low ) ),
inference(global_subsumption_just,[status(thm)],[c_911,c_75,c_734]) ).
tcf(c_913,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(renaming,[status(thm)],[c_912]) ).
tcf(c_925,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| ( X0 != sK0 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_63,c_75]) ).
tcf(c_926,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_925]) ).
tcf(c_954,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(sK0,X1) = low )
| ~ positional_advantage(sK0,X1)
| ( sK0 != sK0 )
| ( X0 != X1 )
| ( age(sK0,X0) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_926,c_913]) ).
tcf(c_955,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_954]) ).
tcf(c_978,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(sK0,X1) = low )
| ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ positional_advantage(sK0,X1)
| ~ positional_advantage(sK0,X0)
| ( sK0 != sK0 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_900,c_913]) ).
tcf(c_979,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = mod1 )
| ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0) ),
inference(unflattening,[status(thm)],[c_978]) ).
tcf(c_1008,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ greater(age(sK0,X2),tau)
| ( sK0 != sK0 )
| ( X0 != X2 )
| ( age(sK0,X1) != zero )
| ( age(sK0,X0) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_926,c_860]) ).
tcf(c_1009,plain,
! [X0: $i,X1: $i] :
( ~ greater(age(sK0,X1),tau)
| ( age(sK0,X1) != zero )
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_1008]) ).
tcf(c_1020,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hazard_of_mortality(sK0,X1) = mod1 )
| ~ positional_advantage(sK0,X1)
| ~ greater(age(sK0,X2),tau)
| ( sK0 != sK0 )
| ( X1 != X2 )
| ( age(sK0,X0) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_900,c_860]) ).
tcf(c_1021,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(sK0,X1) = mod1 )
| ~ positional_advantage(sK0,X1)
| ~ greater(age(sK0,X1),tau)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_1020]) ).
tcf(c_1031,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(sK0,X1) = mod1 )
| ~ positional_advantage(sK0,X1)
| ( age(sK0,X0) != zero ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1021,c_558]) ).
tcf(c_1040,plain,
! [X0: $i,X1: $i,X2: $i] :
( positional_advantage(sK0,X1)
| greater(age(sK0,X2),tau)
| ( hazard_of_mortality(sK0,X1) = mod2 )
| ( sK0 != sK0 )
| ( X1 != X2 )
| ( age(sK0,X0) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_887,c_848]) ).
tcf(c_1041,plain,
! [X0: $i,X1: $i] :
( positional_advantage(sK0,X1)
| greater(age(sK0,X1),tau)
| ( hazard_of_mortality(sK0,X1) = mod2 )
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_1040]) ).
tcf(c_1050,plain,
! [X0: $i,X1: $i] :
( positional_advantage(sK0,X1)
| ( hazard_of_mortality(sK0,X1) = mod2 )
| ( age(sK0,X0) != zero ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1041,c_451]) ).
tcf(c_1336,plain,
! [X0: $i] :
( ~ greater(age(sK0,X0),tau)
| positional_advantage(sK0,X0) ),
inference(prop_impl_just,[status(thm)],[c_451]) ).
tcf(c_1337,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ~ greater(age(sK0,X0),tau) ),
inference(renaming,[status(thm)],[c_1336]) ).
tcf(c_1338,plain,
! [X0: $i] :
( greater(age(sK0,X0),tau)
| ~ positional_advantage(sK0,X0) ),
inference(prop_impl_just,[status(thm)],[c_494,c_556]) ).
tcf(c_1344,plain,
( ~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3))
| ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
inference(prop_impl_just,[status(thm)],[c_568]) ).
tcf(c_1352,plain,
( greater(tau,age(sK0,sK2))
| ( age(sK0,sK2) = tau ) ),
inference(prop_impl_just,[status(thm)],[c_548]) ).
tcf(c_1865,plain,
! [X0: $i] :
( ~ iPr_def_10
| ( hazard_of_mortality(sK0,X0) = mod2 )
| positional_advantage(sK0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1050]) ).
tcf(c_1866,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sK0,X0) != zero ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1050]) ).
tcf(c_1867,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1050]) ).
tcf(c_1868,plain,
! [X0: $i] :
( ~ iPr_def_12
| ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ positional_advantage(sK0,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1031]) ).
tcf(c_1869,plain,
( iPr_def_12
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1031]) ).
tcf(c_1870,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( age(sK0,X0) != zero )
| ~ greater(age(sK0,X0),tau) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_1009]) ).
tcf(c_1871,plain,
( iPr_def_13
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1009]) ).
tcf(c_1872,definition,
iPr_def_14 = age(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_1873,definition,
iPr_def_15 = hazard_of_mortality(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_1874,definition,
iPr_def_16 = hazard_of_mortality(sK0,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_1875,definition,
iPr_def_17 = hazard_of_mortality(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_1876,definition,
iPr_def_18 = age(sK0,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_1877,definition,
iPr_def_19 = age(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_1878,plain,
( iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_1867]) ).
tcf(c_1880,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ iPr_def_10 ),
inference(demodulation,[status(thm)],[c_1865]) ).
tcf(c_1881,plain,
( iPr_def_12
| iPr_def_11 ),
inference(demodulation,[status(thm)],[c_1869]) ).
tcf(c_1883,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ iPr_def_12
| ~ positional_advantage(sK0,X0) ),
inference(demodulation,[status(thm)],[c_1868]) ).
tcf(c_1884,plain,
( iPr_def_13
| iPr_def_11 ),
inference(demodulation,[status(thm)],[c_1871]) ).
tcf(c_1885,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sK0,X0) != zero ) ),
inference(demodulation,[status(thm)],[c_1866]) ).
tcf(c_1886,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ greater(age(sK0,X0),tau)
| ( age(sK0,X0) != zero ) ),
inference(demodulation,[status(thm)],[c_1870]) ).
tcf(c_1888,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = mod1 )
| ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0) ),
inference(demodulation,[status(thm)],[c_979]) ).
tcf(c_1889,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0)
| ( age(sK0,X0) != zero ) ),
inference(demodulation,[status(thm)],[c_955]) ).
tcf(c_1891,plain,
( greater(iPr_def_15,iPr_def_16)
| ( iPr_def_15 = iPr_def_16 )
| ( iPr_def_16 != iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_537]) ).
tcf(c_1892,negated_conjecture,
greater(iPr_def_18,tau),
inference(demodulation,[status(thm)],[c_82,c_1876]) ).
tcf(c_1893,negated_conjecture,
greater(tau,zero),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_1894,negated_conjecture,
iPr_def_19 = zero,
inference(demodulation,[status(thm)],[c_78,c_1877]) ).
tcf(c_1909,plain,
! [X0: $i] :
( ( age(sK0,X0) != zero )
| ~ positional_advantage(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1889,c_494,c_556,c_1885,c_1884,c_1886]) ).
tcf(c_1910,plain,
! [X0: $i] :
( ~ positional_advantage(sK0,X0)
| ( age(sK0,X0) != zero ) ),
inference(renaming,[status(thm)],[c_1909]) ).
tcf(c_1912,plain,
! [X0: $i] :
( ( age(sK0,X0) != zero )
| ~ greater(age(sK0,X0),tau) ),
inference(global_subsumption_just,[status(thm)],[c_1886,c_451,c_1910]) ).
tcf(c_1913,plain,
! [X0: $i] :
( ~ greater(age(sK0,X0),tau)
| ( age(sK0,X0) != zero ) ),
inference(renaming,[status(thm)],[c_1912]) ).
tcf(c_2452,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sK0,X0) != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1885,c_1894]) ).
tcf(c_2469,plain,
~ iPr_def_11,
inference(superposition,[status(thm)],[c_1877,c_2452]) ).
tcf(c_2471,plain,
iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_1881,c_2469]) ).
tcf(c_2472,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_1878,c_2469]) ).
tcf(c_2477,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 ) ),
inference(global_subsumption_just,[status(thm)],[c_1880,c_1880,c_2472]) ).
tcf(c_2484,plain,
! [X0: $i] :
( ( age(sK0,X0) != zero )
| ~ greater(age(sK0,X0),tau) ),
inference(global_subsumption_just,[status(thm)],[c_1886,c_1913]) ).
tcf(c_2485,plain,
! [X0: $i] :
( ~ greater(age(sK0,X0),tau)
| ( age(sK0,X0) != zero ) ),
inference(renaming,[status(thm)],[c_2484]) ).
tcf(c_2486,plain,
! [X0: $i] :
( ~ greater(age(sK0,X0),tau)
| ( age(sK0,X0) != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_2485,c_1894]) ).
tcf(c_2493,plain,
~ greater(age(sK0,sK1),tau),
inference(superposition,[status(thm)],[c_1877,c_2486]) ).
tcf(c_2496,plain,
~ greater(iPr_def_19,tau),
inference(light_normalisation,[status(thm)],[c_2493,c_1877]) ).
tcf(c_2523,plain,
( greater(iPr_def_19,tau)
| ~ positional_advantage(sK0,sK1) ),
inference(superposition,[status(thm)],[c_1877,c_1338]) ).
tcf(c_2524,plain,
( greater(iPr_def_14,tau)
| ~ positional_advantage(sK0,sK2) ),
inference(superposition,[status(thm)],[c_1872,c_1338]) ).
tcf(c_2560,plain,
( greater(tau,iPr_def_14)
| ( tau = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_1352,c_1872]) ).
tcf(c_2567,plain,
( ( tau = iPr_def_14 )
| ~ greater(iPr_def_14,tau) ),
inference(superposition,[status(thm)],[c_2560,c_54]) ).
tcf(c_2581,plain,
~ positional_advantage(sK0,sK1),
inference(global_subsumption_just,[status(thm)],[c_2523,c_2496,c_2523]) ).
tcf(c_2583,plain,
hazard_of_mortality(sK0,sK1) = mod2,
inference(superposition,[status(thm)],[c_2477,c_2581]) ).
tcf(c_2584,plain,
mod2 = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_2583,c_1875]) ).
tcf(c_2586,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_2477,c_2584]) ).
tcf(c_2685,plain,
( ~ greater(iPr_def_16,iPr_def_15)
| ( iPr_def_16 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_1344,c_1873,c_1874,c_1875]) ).
tcf(c_3172,plain,
( greater(iPr_def_14,tau)
| ( hazard_of_mortality(sK0,sK2) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2586,c_2524]) ).
tcf(c_3173,plain,
( greater(iPr_def_14,tau)
| ( iPr_def_16 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3172,c_1874]) ).
tcf(c_3282,plain,
greater(tau,iPr_def_19),
inference(light_normalisation,[status(thm)],[c_1893,c_1894]) ).
tcf(c_3475,plain,
~ greater(mod1,mod2),
inference(superposition,[status(thm)],[c_73,c_54]) ).
tcf(c_3477,plain,
~ greater(iPr_def_19,tau),
inference(superposition,[status(thm)],[c_3282,c_54]) ).
tcf(c_3585,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( tau = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3173,c_2567]) ).
tcf(c_3745,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 ) ),
inference(global_subsumption_just,[status(thm)],[c_1880,c_1880,c_2472]) ).
tcf(c_3896,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ positional_advantage(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1888,c_1883,c_2471]) ).
tcf(c_3903,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = mod2 )
| ( hazard_of_mortality(sK0,X0) = mod1 ) ),
inference(superposition,[status(thm)],[c_3745,c_3896]) ).
tcf(c_3914,plain,
( ( mod2 = iPr_def_15 )
| ( hazard_of_mortality(sK0,sK3) = mod1 ) ),
inference(superposition,[status(thm)],[c_3903,c_1873]) ).
tcf(c_3915,plain,
( ( mod2 = iPr_def_16 )
| ( hazard_of_mortality(sK0,sK2) = mod1 ) ),
inference(superposition,[status(thm)],[c_3903,c_1874]) ).
tcf(c_3920,plain,
( ( mod2 = iPr_def_16 )
| ( mod1 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_3915,c_1874]) ).
tcf(c_3923,plain,
( ( mod2 = iPr_def_15 )
| ( mod1 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3914,c_1873]) ).
tcf(c_4038,plain,
( greater(iPr_def_19,tau)
| ~ positional_advantage(sK0,sK1) ),
inference(superposition,[status(thm)],[c_1877,c_1338]) ).
tcf(c_4044,plain,
~ positional_advantage(sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_4038,c_3477]) ).
tcf(c_4091,plain,
( greater(iPr_def_14,iPr_def_14)
| ( iPr_def_16 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3585,c_3173]) ).
tcf(c_4275,plain,
( ( iPr_def_16 = iPr_def_17 )
| ~ greater(iPr_def_14,iPr_def_14) ),
inference(superposition,[status(thm)],[c_4091,c_54]) ).
tcf(c_4283,plain,
iPr_def_16 = iPr_def_17,
inference(backward_subsumption_resolution,[status(thm)],[c_4091,c_4275]) ).
tcf(c_4286,plain,
~ greater(iPr_def_16,iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_2685,c_4283]) ).
tcf(c_4302,plain,
mod2 = iPr_def_16,
inference(demodulation,[status(thm)],[c_2584,c_4283]) ).
tcf(c_4745,plain,
hazard_of_mortality(sK0,sK1) = mod2,
inference(superposition,[status(thm)],[c_3745,c_4044]) ).
tcf(c_4746,plain,
mod2 = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_4745,c_1875]) ).
tcf(c_4747,plain,
~ greater(mod1,iPr_def_17),
inference(demodulation,[status(thm)],[c_3475,c_4746]) ).
tcf(c_4750,plain,
greater(iPr_def_17,mod1),
inference(demodulation,[status(thm)],[c_73,c_4746]) ).
tcf(c_5507,plain,
mod2 = iPr_def_16,
inference(global_subsumption_just,[status(thm)],[c_3920,c_4302]) ).
tcf(c_5509,plain,
iPr_def_16 = iPr_def_17,
inference(demodulation,[status(thm)],[c_4746,c_5507]) ).
tcf(c_5511,plain,
( greater(iPr_def_15,iPr_def_16)
| ( iPr_def_15 = iPr_def_16 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1891,c_5509]) ).
tcf(c_5513,plain,
~ greater(mod1,iPr_def_16),
inference(demodulation,[status(thm)],[c_4747,c_5509]) ).
tcf(c_5516,plain,
greater(iPr_def_16,mod1),
inference(demodulation,[status(thm)],[c_4750,c_5509]) ).
tcf(c_5535,plain,
! [X0: $i] :
( greater(iPr_def_15,X0)
| ( iPr_def_15 = iPr_def_16 )
| ~ greater(iPr_def_16,X0) ),
inference(superposition,[status(thm)],[c_5511,c_55]) ).
tcf(c_5747,plain,
( greater(iPr_def_15,mod1)
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_5516,c_5535]) ).
tcf(c_5915,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( mod1 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3923,c_5507]) ).
tcf(c_5922,plain,
( greater(iPr_def_15,iPr_def_15)
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_5915,c_5747]) ).
tcf(c_5923,plain,
( greater(iPr_def_16,iPr_def_15)
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_5915,c_5516]) ).
tcf(c_6040,plain,
iPr_def_15 = iPr_def_16,
inference(global_subsumption_just,[status(thm)],[c_5922,c_4286,c_5923]) ).
tcf(c_6044,plain,
~ greater(mod1,iPr_def_15),
inference(demodulation,[status(thm)],[c_5513,c_6040]) ).
tcf(c_6051,plain,
greater(iPr_def_15,mod1),
inference(demodulation,[status(thm)],[c_5516,c_6040]) ).
tcf(c_6100,plain,
( positional_advantage(sK0,sK3)
| ~ greater(iPr_def_18,tau) ),
inference(superposition,[status(thm)],[c_1876,c_1337]) ).
tcf(c_6101,plain,
positional_advantage(sK0,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_6100,c_1892]) ).
tcf(c_6104,plain,
hazard_of_mortality(sK0,sK3) = mod1,
inference(superposition,[status(thm)],[c_6101,c_3896]) ).
tcf(c_6105,plain,
mod1 = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_6104,c_1873]) ).
tcf(c_6173,plain,
greater(iPr_def_15,iPr_def_15),
inference(light_normalisation,[status(thm)],[c_6051,c_6105]) ).
tcf(c_6198,plain,
~ greater(iPr_def_15,iPr_def_15),
inference(light_normalisation,[status(thm)],[c_6044,c_6105]) ).
tcf(c_6199,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_6198,c_6173]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT062+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n011.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 01:16:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.84/1.28 % SZS status Started for theBenchmark.p
% 1.84/1.28 % SZS status Theorem for theBenchmark.p
% 1.84/1.28
% 1.84/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.84/1.28
% 1.84/1.28 % ------ iProver source info
% 1.84/1.28
% 1.84/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.84/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.84/1.28 % git: non_committed_changes: false
% 1.84/1.28
% 1.84/1.28 % ------ Parsing...
% 1.84/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.84/1.28
% 1.84/1.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 1.84/1.28
% 1.84/1.28 % ------ Preprocessing... gs_s sp: 6 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.84/1.28
% 1.84/1.28 % ------ Preprocessing... sf_s rm: 2 0s sf_e sf_s rm: 0 0s sf_e
% 1.84/1.28 % ------ Proving...
% 1.84/1.28 % ------ Problem Properties
% 1.84/1.28
% 1.84/1.28 %
% 1.84/1.28 % clauses 32
% 1.84/1.28 % conjectures 3
% 1.84/1.28 % EPR 12
% 1.84/1.28 % Horn 23
% 1.84/1.28 % unary 10
% 1.84/1.28 % binary 12
% 1.84/1.28 % lits 65
% 1.84/1.28 % lits eq 28
% 1.84/1.28 % fd_pure 0
% 1.84/1.28 % fd_pseudo 0
% 1.84/1.28 % fd_cond 0
% 1.84/1.28 % fd_pseudo_cond 1
% 1.84/1.28 % AC symbols 0
% 1.84/1.28
% 1.84/1.28 % ------ Schedule dynamic 5 is on
% 1.84/1.28
% 1.84/1.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.84/1.28
% 1.84/1.28
% 1.84/1.28 % ------
% 1.84/1.28 % Current options:
% 1.84/1.28 % ------
% 1.84/1.28
% 1.84/1.28
% 1.84/1.28 %
% 1.84/1.28
% 1.84/1.28 % ------ Proving...
% 1.84/1.28 %
% 1.84/1.28
% 1.84/1.28 % SZS status Theorem for theBenchmark.p
% 1.84/1.28
% 1.84/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.84/1.29
% 1.84/1.29
%------------------------------------------------------------------------------