%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT063+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n016.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 1.21s 1.74s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 17
% Syntax : Number of formulae : 257 ( 58 unt; 0 def)
% Number of atoms : 808 ( 212 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 919 ( 368 ~; 426 |; 97 &)
% ( 9 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 18 ( 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 : 15 ( 13 usr; 4 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 322 ( 0 sgn 312 !; 10 ?; 180 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X1,X0)
& greater(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).
fof(f8,axiom,
! [X0,X1] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(f9,axiom,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) )
& organization(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f10,axiom,
! [X0,X1] :
( ( age(X0,X1) = zero
& organization(X0) )
=> is_aligned(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( age(X0,X1) = zero
& organization(X0) )
=> ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).
fof(f12,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/sandbox2/benchmark/theBenchmark.p',definition_4) ).
fof(f13,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/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
fof(f15,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).
fof(f17,axiom,
greater(high,mod2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18d) ).
fof(f19,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19) ).
fof(f20,conjecture,
! [X0,X1,X2,X3,X4] :
( ( greater(age(X0,X4),tau)
& smaller_or_equal(age(X0,X3),tau)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& smaller(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,X2),hazard_of_mortality(X0,X3))
& smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_9) ).
fof(f21,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( greater(age(X0,X4),tau)
& smaller_or_equal(age(X0,X3),tau)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& smaller(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,X2),hazard_of_mortality(X0,X3))
& smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2)) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f22,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,[],[f12]) ).
fof(f23,plain,
? [X0,X1,X2,X3,X4] :
( greater(age(X0,X4),tau)
& smaller_or_equal(age(X0,X3),tau)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& smaller(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,X2),hazard_of_mortality(X0,X3))
| ~ smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2)) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f24,plain,
? [X0,X1,X2,X3,X4] :
( greater(age(X0,X4),tau)
& smaller_or_equal(age(X0,X3),tau)
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& smaller(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,X2),hazard_of_mortality(X0,X3))
| ~ smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2)) ) ),
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,[],[f11]) ).
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,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f32,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,[],[f22]) ).
fof(f33,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f34,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f35,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,[],[f13]) ).
fof(f36,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,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f38,plain,
( greater(age(sK0,sK4),tau)
& smaller_or_equal(age(sK0,sK3),tau)
& greater(age(sK0,sK3),sigma)
& smaller_or_equal(age(sK0,sK2),sigma)
& smaller(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,sK2),hazard_of_mortality(sK0,sK3))
| ~ smaller(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f24]) ).
fof(f39,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(f40,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,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ( ~ smaller(X0,X1)
| greater(X1,X0) )
& ( ~ greater(X1,X0)
| smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f42,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(f43,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,[],[f37]) ).
fof(f44,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,[],[f43]) ).
fof(f45,plain,
greater(age(sK0,sK4),tau),
inference(cnf_transformation,[],[f38]) ).
fof(f46,plain,
smaller_or_equal(age(sK0,sK3),tau),
inference(cnf_transformation,[],[f38]) ).
fof(f47,plain,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f38]) ).
fof(f48,plain,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f38]) ).
fof(f49,plain,
smaller(sigma,tau),
inference(cnf_transformation,[],[f38]) ).
fof(f50,plain,
greater(tau,zero),
inference(cnf_transformation,[],[f38]) ).
fof(f52,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f53,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f54,plain,
robust_position(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f55,plain,
organization(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f56,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3))
| ~ smaller(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK2)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f57,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f59,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f60,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f61,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f62,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f63,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ greater(age(X0,X2),sigma)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f64,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
inference(cnf_transformation,[],[f42]) ).
fof(f65,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f67,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f68,plain,
! [X0,X1] :
( ~ robust_position(X0)
| ~ greater(age(X0,X1),tau)
| positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f69,plain,
! [X0,X1] :
( ~ robust_position(X0)
| ~ smaller_or_equal(age(X0,X1),tau)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f70,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f71,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,[],[f36]) ).
fof(f72,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,[],[f36]) ).
fof(f73,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,[],[f36]) ).
fof(f74,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,[],[f36]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ is_aligned(X0,X1)
| is_aligned(X0,X2)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f44]) ).
fof(f83,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f15]) ).
fof(f84,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f19]) ).
fof(f86,plain,
greater(high,mod2),
inference(cnf_transformation,[],[f17]) ).
fof(f87,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f58]) ).
tcf(c_49,negated_conjecture,
( ~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3))
| ~ smaller(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK2))
| ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_50,negated_conjecture,
organization(sK0),
inference(cnf_transformation,[],[f55]) ).
tcf(c_51,negated_conjecture,
robust_position(sK0),
inference(cnf_transformation,[],[f54]) ).
tcf(c_52,negated_conjecture,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f53]) ).
tcf(c_53,negated_conjecture,
age(sK0,sK1) = zero,
inference(cnf_transformation,[],[f52]) ).
tcf(c_55,negated_conjecture,
greater(tau,zero),
inference(cnf_transformation,[],[f50]) ).
tcf(c_56,negated_conjecture,
smaller(sigma,tau),
inference(cnf_transformation,[],[f49]) ).
tcf(c_57,negated_conjecture,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f48]) ).
tcf(c_58,negated_conjecture,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f47]) ).
tcf(c_59,negated_conjecture,
smaller_or_equal(age(sK0,sK3),tau),
inference(cnf_transformation,[],[f46]) ).
tcf(c_60,negated_conjecture,
greater(age(sK0,sK4),tau),
inference(cnf_transformation,[],[f45]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_62,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f87]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| smaller(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_67,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,[],[f64]) ).
tcf(c_68,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,[],[f63]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( ~ robust_position(X0)
| ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| ~ robust_position(X0)
| ~ greater(age(X0,X1),tau) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_76,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,[],[f74]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| is_aligned(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod1 )
| ~ organization(X0)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| positional_advantage(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1)
| ( hazard_of_mortality(X0,X1) = high )
| ~ organization(X0) ),
inference(cnf_transformation,[],[f71]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_87,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f83]) ).
tcf(c_88,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f84]) ).
tcf(c_90,plain,
greater(high,mod2),
inference(cnf_transformation,[],[f86]) ).
tcf(c_110,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_67,c_82,c_67]) ).
tcf(c_111,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_110]) ).
tcf(c_470,plain,
! [X0: $i,X1: $i] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_52,c_74]) ).
tcf(c_471,plain,
! [X0: $i] :
( ~ organization(sK0)
| ~ has_immunity(sK0,X0) ),
inference(unflattening,[status(thm)],[c_470]) ).
tcf(c_473,plain,
! [X0: $i] : ~ has_immunity(sK0,X0),
inference(global_subsumption_just,[status(thm)],[c_471,c_50,c_471]) ).
tcf(c_480,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| ~ greater(age(X0,X1),tau)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_73]) ).
tcf(c_481,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ~ greater(age(sK0,X0),tau) ),
inference(unflattening,[status(thm)],[c_480]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i] :
( ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_51,c_72]) ).
tcf(c_490,plain,
! [X0: $i] :
( ~ positional_advantage(sK0,X0)
| ~ smaller_or_equal(age(sK0,X0),tau) ),
inference(unflattening,[status(thm)],[c_489]) ).
tcf(c_504,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != sigma )
| ( age(sK0,sK2) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_63]) ).
tcf(c_505,plain,
( smaller(age(sK0,sK2),sigma)
| ( age(sK0,sK2) = sigma ) ),
inference(unflattening,[status(thm)],[c_504]) ).
tcf(c_523,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != tau )
| ( age(sK0,sK3) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_59,c_63]) ).
tcf(c_524,plain,
( smaller(age(sK0,sK3),tau)
| ( age(sK0,sK3) = tau ) ),
inference(unflattening,[status(thm)],[c_523]) ).
tcf(c_544,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_61,c_490]) ).
tcf(c_545,plain,
! [X0: $i] :
( ~ positional_advantage(sK0,X0)
| ~ smaller(age(sK0,X0),tau) ),
inference(unflattening,[status(thm)],[c_544]) ).
tcf(c_553,plain,
! [X0: $i,X1: $i] :
( ~ positional_advantage(sK0,X0)
| ( X1 != tau )
| ( age(sK0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_62,c_490]) ).
tcf(c_554,plain,
! [X0: $i] :
( ~ positional_advantage(sK0,X0)
| ( age(sK0,X0) != tau ) ),
inference(unflattening,[status(thm)],[c_553]) ).
tcf(c_648,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_79,c_473]) ).
tcf(c_649,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = high )
| ~ organization(sK0) ),
inference(unflattening,[status(thm)],[c_648]) ).
tcf(c_663,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_78,c_473]) ).
tcf(c_664,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ organization(sK0)
| ~ is_aligned(sK0,X0) ),
inference(unflattening,[status(thm)],[c_663]) ).
tcf(c_666,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ is_aligned(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_664,c_50,c_664]) ).
tcf(c_678,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_77,c_473]) ).
tcf(c_679,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ organization(sK0)
| ~ positional_advantage(sK0,X0) ),
inference(unflattening,[status(thm)],[c_678]) ).
tcf(c_693,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_76,c_473]) ).
tcf(c_694,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ organization(sK0)
| ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(unflattening,[status(thm)],[c_693]) ).
tcf(c_696,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ is_aligned(sK0,X0)
| ~ positional_advantage(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_694,c_50,c_694]) ).
tcf(c_697,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(renaming,[status(thm)],[c_696]) ).
tcf(c_740,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_81,c_111]) ).
tcf(c_741,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_740]) ).
tcf(c_742,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_741,c_69,c_741]) ).
tcf(c_768,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_68,c_83]) ).
tcf(c_769,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_768]) ).
tcf(c_771,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_769,c_69,c_769]) ).
tcf(c_772,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_771]) ).
tcf(c_805,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_50,c_772]) ).
tcf(c_806,plain,
! [X0: $i,X1: $i] :
( ~ is_aligned(sK0,X1)
| ~ greater(age(sK0,X1),sigma)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_805]) ).
tcf(c_817,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_50,c_742]) ).
tcf(c_818,plain,
! [X0: $i,X1: $i] :
( is_aligned(sK0,X1)
| greater(age(sK0,X1),sigma)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_817]) ).
tcf(c_829,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1)
| ( hazard_of_mortality(X0,X1) = high )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_79]) ).
tcf(c_830,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = high ) ),
inference(unflattening,[status(thm)],[c_829]) ).
tcf(c_831,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = high )
| is_aligned(sK0,X0)
| positional_advantage(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_830,c_50,c_649]) ).
tcf(c_832,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = high ) ),
inference(renaming,[status(thm)],[c_831]) ).
tcf(c_842,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| positional_advantage(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ~ is_aligned(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_78]) ).
tcf(c_843,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ is_aligned(sK0,X0) ),
inference(unflattening,[status(thm)],[c_842]) ).
tcf(c_844,plain,
! [X0: $i] :
( ~ is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| positional_advantage(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_843,c_666]) ).
tcf(c_845,plain,
! [X0: $i] :
( positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ is_aligned(sK0,X0) ),
inference(renaming,[status(thm)],[c_844]) ).
tcf(c_855,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| is_aligned(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod1 )
| ~ positional_advantage(X0,X1)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_77]) ).
tcf(c_856,plain,
! [X0: $i] :
( has_immunity(sK0,X0)
| is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ positional_advantage(sK0,X0) ),
inference(unflattening,[status(thm)],[c_855]) ).
tcf(c_857,plain,
! [X0: $i] :
( ~ positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 )
| is_aligned(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_856,c_50,c_679]) ).
tcf(c_858,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = mod1 )
| ~ positional_advantage(sK0,X0) ),
inference(renaming,[status(thm)],[c_857]) ).
tcf(c_868,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_50,c_76]) ).
tcf(c_869,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_868]) ).
tcf(c_870,plain,
! [X0: $i] :
( ~ is_aligned(sK0,X0)
| ~ positional_advantage(sK0,X0)
| ( hazard_of_mortality(sK0,X0) = low ) ),
inference(global_subsumption_just,[status(thm)],[c_869,c_697]) ).
tcf(c_871,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = low )
| ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(renaming,[status(thm)],[c_870]) ).
tcf(c_883,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| ( X0 != sK0 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_69]) ).
tcf(c_884,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ( age(sK0,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_883]) ).
tcf(c_1912,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_818]) ).
tcf(c_1913,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sK0,X0) != zero ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_818]) ).
tcf(c_1914,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_818]) ).
tcf(c_1915,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_806]) ).
tcf(c_1916,plain,
( iPr_def_12
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_806]) ).
tcf(c_1917,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_1923,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(X0,X2)
| ~ greater(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2323,plain,
smaller(zero,tau),
inference(superposition,[status(thm)],[c_55,c_65]) ).
tcf(c_2329,plain,
smaller(mod1,mod2),
inference(superposition,[status(thm)],[c_88,c_65]) ).
tcf(c_2331,plain,
smaller(mod2,high),
inference(superposition,[status(thm)],[c_90,c_65]) ).
tcf(c_2336,plain,
positional_advantage(sK0,sK4),
inference(superposition,[status(thm)],[c_60,c_481]) ).
tcf(c_2348,plain,
~ iPr_def_11,
inference(superposition,[status(thm)],[c_53,c_1913]) ).
tcf(c_2349,plain,
iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_1916,c_2348]) ).
tcf(c_2350,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_1914,c_2348]) ).
tcf(c_2359,plain,
greater(tau,sigma),
inference(superposition,[status(thm)],[c_56,c_66]) ).
tcf(c_2360,plain,
( greater(sigma,age(sK0,sK2))
| ( age(sK0,sK2) = sigma ) ),
inference(superposition,[status(thm)],[c_505,c_66]) ).
tcf(c_2380,plain,
~ greater(low,mod1),
inference(superposition,[status(thm)],[c_87,c_71]) ).
tcf(c_2390,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| greater(X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_64,c_66]) ).
tcf(c_2403,plain,
! [X0: $i] :
( greater(age(sK0,sK4),X0)
| ~ greater(tau,X0) ),
inference(superposition,[status(thm)],[c_60,c_70]) ).
tcf(c_2441,plain,
! [X0: $i] :
( greater(tau,X0)
| ~ greater(sigma,X0) ),
inference(superposition,[status(thm)],[c_2359,c_70]) ).
tcf(c_2443,plain,
~ greater(sigma,tau),
inference(superposition,[status(thm)],[c_2359,c_71]) ).
tcf(c_2510,plain,
is_aligned(sK0,sK1),
inference(superposition,[status(thm)],[c_53,c_884]) ).
tcf(c_2511,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| greater(age(sK0,X0),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_1912,c_1912,c_2350]) ).
tcf(c_2521,plain,
! [X0: $i] :
( is_aligned(sK0,X0)
| ~ greater(sigma,age(sK0,X0)) ),
inference(superposition,[status(thm)],[c_2511,c_71]) ).
tcf(c_2538,plain,
! [X0: $i] :
( ~ is_aligned(sK0,X0)
| ~ greater(age(sK0,X0),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_1915,c_1915,c_2349]) ).
tcf(c_2545,plain,
~ is_aligned(sK0,sK3),
inference(superposition,[status(thm)],[c_58,c_2538]) ).
tcf(c_2548,plain,
( ~ is_aligned(sK0,sK4)
| ~ greater(tau,sigma) ),
inference(superposition,[status(thm)],[c_2403,c_2538]) ).
tcf(c_2550,plain,
~ is_aligned(sK0,sK4),
inference(forward_subsumption_resolution,[status(thm)],[c_2548,c_2359]) ).
tcf(c_2557,plain,
( positional_advantage(sK0,sK1)
| ( hazard_of_mortality(sK0,sK1) = mod2 ) ),
inference(superposition,[status(thm)],[c_2510,c_845]) ).
tcf(c_2564,plain,
! [X0: $i] :
( greater(sigma,X0)
| ( age(sK0,sK2) = sigma )
| ~ greater(age(sK0,sK2),X0) ),
inference(superposition,[status(thm)],[c_2360,c_70]) ).
tcf(c_2607,plain,
( is_aligned(sK0,sK4)
| ( hazard_of_mortality(sK0,sK4) = mod1 ) ),
inference(superposition,[status(thm)],[c_2336,c_858]) ).
tcf(c_2608,plain,
hazard_of_mortality(sK0,sK4) = mod1,
inference(forward_subsumption_resolution,[status(thm)],[c_2607,c_2550]) ).
tcf(c_2612,plain,
( ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
| ~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3))
| ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ) ),
inference(demodulation,[status(thm)],[c_49,c_2608]) ).
tcf(c_2708,plain,
( is_aligned(sK0,sK2)
| ( age(sK0,sK2) = sigma ) ),
inference(superposition,[status(thm)],[c_2360,c_2521]) ).
tcf(c_2739,plain,
! [X0: $i] :
( greater(age(sK0,X0),tau)
| ( age(sK0,X0) = tau )
| ~ positional_advantage(sK0,X0) ),
inference(superposition,[status(thm)],[c_64,c_545]) ).
tcf(c_2740,plain,
( ( age(sK0,sK3) = tau )
| ~ positional_advantage(sK0,sK3) ),
inference(superposition,[status(thm)],[c_524,c_545]) ).
tcf(c_2741,plain,
( ~ positional_advantage(sK0,sK1)
| ~ smaller(zero,tau) ),
inference(superposition,[status(thm)],[c_53,c_545]) ).
tcf(c_2742,plain,
~ positional_advantage(sK0,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_2741,c_2323]) ).
tcf(c_2748,plain,
hazard_of_mortality(sK0,sK1) = mod2,
inference(backward_subsumption_resolution,[status(thm)],[c_2557,c_2742]) ).
tcf(c_2749,plain,
( ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
| ~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK3))
| ( hazard_of_mortality(sK0,sK2) != mod2 ) ),
inference(demodulation,[status(thm)],[c_2612,c_2748]) ).
tcf(c_2802,plain,
~ positional_advantage(sK0,sK3),
inference(backward_subsumption_resolution,[status(thm)],[c_2740,c_554]) ).
tcf(c_2991,plain,
( is_aligned(sK0,sK3)
| ( hazard_of_mortality(sK0,sK3) = high ) ),
inference(superposition,[status(thm)],[c_832,c_2802]) ).
tcf(c_2992,plain,
hazard_of_mortality(sK0,sK3) = high,
inference(forward_subsumption_resolution,[status(thm)],[c_2991,c_2545]) ).
tcf(c_2993,plain,
( ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
| ~ smaller(hazard_of_mortality(sK0,sK2),high)
| ( hazard_of_mortality(sK0,sK2) != mod2 ) ),
inference(demodulation,[status(thm)],[c_2749,c_2992]) ).
tcf(c_3001,plain,
( positional_advantage(sK0,sK2)
| ( age(sK0,sK2) = sigma )
| ( hazard_of_mortality(sK0,sK2) = mod2 ) ),
inference(superposition,[status(thm)],[c_2708,c_845]) ).
tcf(c_3157,plain,
! [X0: $i,X1: $i] :
( greater(X0,X1)
| ~ greater(tau,sigma)
| ( X1 != sigma )
| ( X0 != tau ) ),
inference(instantiation,[status(thm)],[c_1923]) ).
tcf(c_3304,plain,
tau = tau,
inference(instantiation,[status(thm)],[c_1917]) ).
tcf(c_3507,plain,
( ( age(sK0,sK2) = sigma )
| ( hazard_of_mortality(sK0,sK2) = mod2 )
| ( hazard_of_mortality(sK0,sK2) = low )
| ~ is_aligned(sK0,sK2) ),
inference(superposition,[status(thm)],[c_3001,c_871]) ).
tcf(c_3675,plain,
( ( age(sK0,sK2) = sigma )
| ( hazard_of_mortality(sK0,sK2) = mod2 )
| ( hazard_of_mortality(sK0,sK2) = low ) ),
inference(global_subsumption_just,[status(thm)],[c_3507,c_2708,c_3507]) ).
tcf(c_3683,plain,
( ( age(sK0,sK2) = sigma )
| ( hazard_of_mortality(sK0,sK2) = low )
| ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
| ~ smaller(hazard_of_mortality(sK0,sK2),high) ),
inference(superposition,[status(thm)],[c_3675,c_2993]) ).
tcf(c_4244,plain,
( ( age(sK0,sK2) = sigma )
| ( hazard_of_mortality(sK0,sK2) = low )
| ~ smaller(mod2,high)
| ~ smaller(mod1,hazard_of_mortality(sK0,sK2)) ),
inference(superposition,[status(thm)],[c_3675,c_3683]) ).
tcf(c_4246,plain,
( ( age(sK0,sK2) = sigma )
| ( hazard_of_mortality(sK0,sK2) = low )
| ~ smaller(mod1,hazard_of_mortality(sK0,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4244,c_2331]) ).
tcf(c_4306,plain,
! [X0: $i] :
( greater(age(sK0,X0),tau)
| ~ positional_advantage(sK0,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2739,c_554,c_2739]) ).
tcf(c_4321,plain,
( greater(sigma,tau)
| ( age(sK0,sK2) = sigma )
| ~ positional_advantage(sK0,sK2) ),
inference(superposition,[status(thm)],[c_4306,c_2564]) ).
tcf(c_4327,plain,
( ( age(sK0,sK2) = sigma )
| ~ positional_advantage(sK0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4321,c_2443]) ).
tcf(c_4354,plain,
( ( age(sK0,sK2) = sigma )
| ( hazard_of_mortality(sK0,sK2) = mod2 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3001,c_4327]) ).
tcf(c_4367,plain,
( ( age(sK0,sK2) = sigma )
| ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
| ~ smaller(hazard_of_mortality(sK0,sK2),high) ),
inference(superposition,[status(thm)],[c_4354,c_2993]) ).
tcf(c_4974,plain,
! [X0: $i] :
( greater(tau,X0)
| ~ greater(tau,sigma)
| ( tau != tau )
| ( X0 != sigma ) ),
inference(instantiation,[status(thm)],[c_3157]) ).
tcf(c_5275,plain,
! [X0: $i] :
( greater(tau,X0)
| greater(X0,sigma)
| ( X0 = sigma ) ),
inference(superposition,[status(thm)],[c_2390,c_2441]) ).
tcf(c_6091,plain,
( ( age(sK0,sK2) = sigma )
| ( hazard_of_mortality(sK0,sK2) = low )
| ~ smaller(mod1,mod2) ),
inference(superposition,[status(thm)],[c_4354,c_4246]) ).
tcf(c_6093,plain,
( ( age(sK0,sK2) = sigma )
| ( hazard_of_mortality(sK0,sK2) = low ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6091,c_2329]) ).
tcf(c_6620,plain,
( ( low = mod2 )
| ( age(sK0,sK2) = sigma ) ),
inference(superposition,[status(thm)],[c_6093,c_4354]) ).
tcf(c_7005,plain,
( greater(sigma,tau)
| ( low = mod2 )
| ~ positional_advantage(sK0,sK2) ),
inference(superposition,[status(thm)],[c_6620,c_4306]) ).
tcf(c_7008,plain,
( is_aligned(sK0,sK2)
| ( low = mod2 )
| ~ greater(sigma,sigma) ),
inference(superposition,[status(thm)],[c_6620,c_2521]) ).
tcf(c_7011,plain,
( is_aligned(sK0,sK2)
| greater(sigma,sigma)
| ( low = mod2 ) ),
inference(superposition,[status(thm)],[c_6620,c_2511]) ).
tcf(c_7023,plain,
( is_aligned(sK0,sK2)
| ( low = mod2 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7011,c_7008]) ).
tcf(c_7026,plain,
( ( low = mod2 )
| ~ positional_advantage(sK0,sK2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7005,c_2443]) ).
tcf(c_7106,plain,
( positional_advantage(sK0,sK2)
| ( low = mod2 )
| ( hazard_of_mortality(sK0,sK2) = mod2 ) ),
inference(superposition,[status(thm)],[c_7023,c_845]) ).
tcf(c_7113,plain,
( ( hazard_of_mortality(sK0,sK2) = mod2 )
| ( low = mod2 ) ),
inference(global_subsumption_just,[status(thm)],[c_7106,c_7026,c_7106]) ).
tcf(c_7114,plain,
( ( low = mod2 )
| ( hazard_of_mortality(sK0,sK2) = mod2 ) ),
inference(renaming,[status(thm)],[c_7113]) ).
tcf(c_7122,plain,
( ( low = mod2 )
| ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
| ~ smaller(hazard_of_mortality(sK0,sK2),high) ),
inference(superposition,[status(thm)],[c_7114,c_2993]) ).
tcf(c_7178,plain,
! [X0: $i] :
( greater(tau,X0)
| greater(X0,sigma) ),
inference(global_subsumption_just,[status(thm)],[c_5275,c_2359,c_3304,c_4974,c_5275]) ).
tcf(c_7218,plain,
! [X0: $i] :
( greater(tau,age(sK0,X0))
| ~ is_aligned(sK0,X0) ),
inference(superposition,[status(thm)],[c_7178,c_2538]) ).
tcf(c_7337,plain,
! [X0: $i] :
( smaller(age(sK0,X0),tau)
| ~ is_aligned(sK0,X0) ),
inference(superposition,[status(thm)],[c_7218,c_65]) ).
tcf(c_7379,plain,
! [X0: $i] :
( ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0) ),
inference(superposition,[status(thm)],[c_7337,c_545]) ).
tcf(c_7388,plain,
! [X0: $i] :
( ( hazard_of_mortality(sK0,X0) = mod2 )
| ~ is_aligned(sK0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[c_845,c_7379]) ).
tcf(c_8425,plain,
( ( age(sK0,sK2) = sigma )
| ~ smaller(mod2,high)
| ~ smaller(mod1,hazard_of_mortality(sK0,sK2)) ),
inference(superposition,[status(thm)],[c_4354,c_4367]) ).
tcf(c_8427,plain,
( ( age(sK0,sK2) = sigma )
| ~ smaller(mod1,hazard_of_mortality(sK0,sK2)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8425,c_2331]) ).
tcf(c_8544,plain,
( ( low = mod2 )
| ~ smaller(mod1,mod2)
| ~ smaller(hazard_of_mortality(sK0,sK2),high) ),
inference(superposition,[status(thm)],[c_7114,c_7122]) ).
tcf(c_8548,plain,
( ( low = mod2 )
| ~ smaller(hazard_of_mortality(sK0,sK2),high) ),
inference(forward_subsumption_resolution,[status(thm)],[c_8544,c_2329]) ).
tcf(c_9153,plain,
( ( age(sK0,sK2) = sigma )
| ~ smaller(mod1,mod2) ),
inference(superposition,[status(thm)],[c_4354,c_8427]) ).
tcf(c_9155,plain,
age(sK0,sK2) = sigma,
inference(forward_subsumption_resolution,[status(thm)],[c_9153,c_2329]) ).
tcf(c_9225,plain,
( is_aligned(sK0,sK2)
| ~ greater(sigma,sigma) ),
inference(superposition,[status(thm)],[c_9155,c_2521]) ).
tcf(c_9228,plain,
( is_aligned(sK0,sK2)
| greater(sigma,sigma) ),
inference(superposition,[status(thm)],[c_9155,c_2511]) ).
tcf(c_9237,plain,
is_aligned(sK0,sK2),
inference(backward_subsumption_resolution,[status(thm)],[c_9228,c_9225]) ).
tcf(c_9241,plain,
hazard_of_mortality(sK0,sK2) = mod2,
inference(superposition,[status(thm)],[c_9237,c_7388]) ).
tcf(c_9560,plain,
( ( low = mod2 )
| ~ smaller(mod2,high) ),
inference(light_normalisation,[status(thm)],[c_8548,c_9241]) ).
tcf(c_9561,plain,
low = mod2,
inference(forward_subsumption_resolution,[status(thm)],[c_9560,c_2331]) ).
tcf(c_9653,plain,
greater(low,mod1),
inference(demodulation,[status(thm)],[c_88,c_9561]) ).
tcf(c_9655,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9653,c_2380]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT063+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 01:22:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 1.21/1.74 % SZS status Started for theBenchmark.p
% 1.21/1.74 % SZS status Theorem for theBenchmark.p
% 1.21/1.74
% 1.21/1.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.21/1.74
% 1.21/1.74 % ------ iProver source info
% 1.21/1.74
% 1.21/1.74 % git: date: 2026-07-19 20:42:38 +0200
% 1.21/1.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.21/1.74 % git: non_committed_changes: false
% 1.21/1.74
% 1.21/1.74 % ------ Parsing...
% 1.21/1.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.21/1.74
% 1.21/1.74 % ------ 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 %
% 1.21/1.74
% 1.21/1.74 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.21/1.74
% 1.21/1.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.21/1.74 % ------ Proving...
% 1.21/1.74 % ------ Problem Properties
% 1.21/1.74
% 1.21/1.74 %
% 1.21/1.74 % clauses 35
% 1.21/1.74 % conjectures 7
% 1.21/1.74 % EPR 16
% 1.21/1.74 % Horn 26
% 1.21/1.74 % unary 12
% 1.21/1.74 % binary 13
% 1.21/1.74 % lits 68
% 1.21/1.74 % lits eq 15
% 1.21/1.74 % fd_pure 0
% 1.21/1.74 % fd_pseudo 0
% 1.21/1.74 % fd_cond 0
% 1.21/1.74 % fd_pseudo_cond 1
% 1.21/1.74 % AC symbols 0
% 1.21/1.74
% 1.21/1.74 % ------ Schedule dynamic 5 is on
% 1.21/1.74
% 1.21/1.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.21/1.74
% 1.21/1.74
% 1.21/1.74 % ------
% 1.21/1.74 % Current options:
% 1.21/1.74 % ------
% 1.21/1.74
% 1.21/1.74
% 1.21/1.74 %
% 1.21/1.74
% 1.21/1.74 % ------ Proving...
% 1.21/1.74 %
% 1.21/1.74
% 1.21/1.74 % SZS status Theorem for theBenchmark.p
% 1.21/1.74
% 1.21/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.21/1.74
% 1.21/1.74
%------------------------------------------------------------------------------