%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : MGT065-1 : 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 : n006.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 02:13:00 PM UTC 2026
% Result : Unsatisfiable 1.43s 1.29s
% Output : CNFRefutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 34
% Syntax : Number of formulae : 162 ( 37 unt; 0 def)
% Number of atoms : 442 ( 145 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 503 ( 223 ~; 280 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 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 : 14 ( 12 usr; 4 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 208 ( 0 sgn 208 !; 0 ?; 161 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_1) ).
fof(f2,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
fof(f3,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
fof(f7,axiom,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).
fof(f10,axiom,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
fof(f11,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
fof(f13,axiom,
! [X0,X1] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_41) ).
fof(f14,axiom,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1_42) ).
fof(f19,axiom,
! [X2,X0,X1] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_47) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_49) ).
fof(f23,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2_51) ).
fof(f26,axiom,
! [X0,X1] :
( is_aligned(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13_54) ).
fof(f27,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_55) ).
fof(f28,axiom,
! [X2,X0,X1] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15_56) ).
fof(f29,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_57) ).
fof(f30,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = low
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_58) ).
fof(f31,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = mod1
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_59) ).
fof(f32,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = mod2
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_60) ).
fof(f33,axiom,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = high
| positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_17_61) ).
fof(f34,axiom,
greater(high,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18a_62) ).
fof(f35,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b_63) ).
fof(f36,axiom,
greater(low,very_low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18c_64) ).
fof(f39,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_67) ).
fof(f41,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_69) ).
fof(f42,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_70) ).
fof(f43,plain,
zero = age(sk2,sk3),
inference(reorient_equations,[],[f42]) ).
fof(f46,negated_conjecture,
greater(eta,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_73) ).
fof(f47,negated_conjecture,
smaller_or_equal(age(sk2,sk4),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_74) ).
fof(f49,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_76) ).
fof(f50,negated_conjecture,
greater(age(sk2,sk5),sigma),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_77) ).
fof(f52,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_79) ).
fof(f53,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_11_80) ).
fof(f54,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_103,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f54]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_109,plain,
! [X0: $i,X1: $i] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i,X2: $i] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| greater(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( ~ has_endowment(X0)
| ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_124,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,[],[f27]) ).
tcf(c_125,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,[],[f28]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(X0,X1) = very_low )
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_127,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,[],[f30]) ).
tcf(c_128,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,[],[f31]) ).
tcf(c_129,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,[],[f32]) ).
tcf(c_130,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = high )
| ~ organization(X0) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_131,plain,
greater(high,mod1),
inference(cnf_transformation,[],[f34]) ).
tcf(c_132,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f35]) ).
tcf(c_133,plain,
greater(low,very_low),
inference(cnf_transformation,[],[f36]) ).
tcf(c_136,negated_conjecture,
organization(sk2),
inference(cnf_transformation,[],[f39]) ).
tcf(c_137,negated_conjecture,
has_endowment(sk2),
inference(cnf_transformation,[],[f41]) ).
tcf(c_138,negated_conjecture,
age(sk2,sk3) = zero,
inference(cnf_transformation,[],[f43]) ).
tcf(c_141,negated_conjecture,
greater(eta,zero),
inference(cnf_transformation,[],[f46]) ).
tcf(c_142,negated_conjecture,
smaller_or_equal(age(sk2,sk4),sigma),
inference(cnf_transformation,[],[f47]) ).
tcf(c_144,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
inference(cnf_transformation,[],[f49]) ).
tcf(c_145,negated_conjecture,
greater(age(sk2,sk5),sigma),
inference(cnf_transformation,[],[f50]) ).
tcf(c_147,negated_conjecture,
greater(age(sk2,sk5),eta),
inference(cnf_transformation,[],[f52]) ).
tcf(c_148,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4) ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_169,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_125,c_118,c_125]) ).
tcf(c_170,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_169]) ).
tcf(c_467,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( is_aligned(X1,X3)
| is_aligned(X0,X2)
| has_immunity(X1,X3)
| has_immunity(X0,X2)
| ( hazard_of_mortality(X1,X3) = mod1 )
| ( hazard_of_mortality(X0,X2) = high )
| ~ organization(X1)
| ~ organization(X0)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_130,c_128]) ).
tcf(c_468,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = high )
| ( hazard_of_mortality(X0,X1) = mod1 )
| ~ organization(X0) ),
inference(unflattening,[status(thm)],[c_467]) ).
tcf(c_489,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( has_immunity(X1,X3)
| has_immunity(X0,X2)
| ( hazard_of_mortality(X1,X3) = low )
| ( hazard_of_mortality(X0,X2) = mod2 )
| ~ organization(X1)
| ~ organization(X0)
| ~ is_aligned(X1,X3)
| ~ is_aligned(X0,X2)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_129,c_127]) ).
tcf(c_490,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ( hazard_of_mortality(X0,X1) = low )
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(unflattening,[status(thm)],[c_489]) ).
tcf(c_831,plain,
! [X0: $i,X1: $i] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_114,c_137]) ).
tcf(c_832,plain,
! [X0: $i] :
( ~ has_immunity(sk2,X0)
| ~ greater(age(sk2,X0),eta) ),
inference(unflattening,[status(thm)],[c_831]) ).
tcf(c_887,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_124,c_120]) ).
tcf(c_888,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_887]) ).
tcf(c_890,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_888,c_123,c_888]) ).
tcf(c_891,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_890]) ).
tcf(c_910,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_121,c_170]) ).
tcf(c_911,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_910]) ).
tcf(c_912,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_911,c_123,c_911]) ).
tcf(c_1170,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),sigma)
| ( X0 != sk2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_912,c_136]) ).
tcf(c_1171,plain,
! [X0: $i,X1: $i] :
( is_aligned(sk2,X1)
| greater(age(sk2,X1),sigma)
| ( age(sk2,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_1170]) ).
tcf(c_1182,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ greater(age(X0,X2),sigma)
| ( X0 != sk2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_891,c_136]) ).
tcf(c_1183,plain,
! [X0: $i,X1: $i] :
( ~ is_aligned(sk2,X1)
| ~ greater(age(sk2,X1),sigma)
| ( age(sk2,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_1182]) ).
tcf(c_1194,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ( hazard_of_mortality(X0,X1) = low )
| ~ is_aligned(X0,X1)
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_490,c_136]) ).
tcf(c_1195,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod2 )
| ( hazard_of_mortality(sk2,X0) = low )
| ~ is_aligned(sk2,X0) ),
inference(unflattening,[status(thm)],[c_1194]) ).
tcf(c_1209,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = high )
| ( hazard_of_mortality(X0,X1) = mod1 )
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_468,c_136]) ).
tcf(c_1210,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| has_immunity(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = high )
| ( hazard_of_mortality(sk2,X0) = mod1 ) ),
inference(unflattening,[status(thm)],[c_1209]) ).
tcf(c_1224,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(X0,X1) = very_low )
| ~ has_immunity(X0,X1)
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_126,c_136]) ).
tcf(c_1225,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,X0) = very_low )
| ~ has_immunity(sk2,X0) ),
inference(unflattening,[status(thm)],[c_1224]) ).
tcf(c_1310,plain,
! [X0: $i,X1: $i] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_113,c_137]) ).
tcf(c_1311,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| ~ smaller_or_equal(age(sk2,X0),eta) ),
inference(unflattening,[status(thm)],[c_1310]) ).
tcf(c_1324,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != sigma )
| ( age(sk2,sk4) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_142,c_101]) ).
tcf(c_1325,plain,
( smaller(age(sk2,sk4),sigma)
| ( age(sk2,sk4) = sigma ) ),
inference(unflattening,[status(thm)],[c_1324]) ).
tcf(c_1362,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| ( X0 = X1 )
| ( X1 != eta )
| ( age(sk2,sk4) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_144,c_101]) ).
tcf(c_1363,plain,
( smaller(age(sk2,sk4),eta)
| ( age(sk2,sk4) = eta ) ),
inference(unflattening,[status(thm)],[c_1362]) ).
tcf(c_1383,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(sk2,X0)
| ~ smaller(X1,X2)
| ( X2 != eta )
| ( age(sk2,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_102,c_1311]) ).
tcf(c_1384,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| ~ smaller(age(sk2,X0),eta) ),
inference(unflattening,[status(thm)],[c_1383]) ).
tcf(c_1392,plain,
! [X0: $i,X1: $i] :
( has_immunity(sk2,X0)
| ( X1 != eta )
| ( age(sk2,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_103,c_1311]) ).
tcf(c_1393,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| ( age(sk2,X0) != eta ) ),
inference(unflattening,[status(thm)],[c_1392]) ).
tcf(c_1433,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ( age(sk2,sk4) = sigma )
| ( X1 != sigma )
| ( age(sk2,sk4) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_1325]) ).
tcf(c_1434,plain,
( greater(sigma,age(sk2,sk4))
| ( age(sk2,sk4) = sigma ) ),
inference(unflattening,[status(thm)],[c_1433]) ).
tcf(c_1449,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ( age(sk2,sk4) = eta )
| ( X1 != eta )
| ( age(sk2,sk4) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_1363]) ).
tcf(c_1450,plain,
( greater(eta,age(sk2,sk4))
| ( age(sk2,sk4) = eta ) ),
inference(unflattening,[status(thm)],[c_1449]) ).
tcf(c_1457,plain,
! [X0: $i,X1: $i,X2: $i] :
( has_immunity(sk2,X0)
| greater(X1,X2)
| ( X1 = X2 )
| ( X2 != eta )
| ( age(sk2,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_111,c_1384]) ).
tcf(c_1458,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| greater(age(sk2,X0),eta)
| ( age(sk2,X0) = eta ) ),
inference(unflattening,[status(thm)],[c_1457]) ).
tcf(c_2223,plain,
! [X0: $i] :
( ~ greater(age(sk2,X0),eta)
| ~ has_immunity(sk2,X0) ),
inference(prop_impl_just,[status(thm)],[c_832]) ).
tcf(c_2224,plain,
! [X0: $i] :
( ~ has_immunity(sk2,X0)
| ~ greater(age(sk2,X0),eta) ),
inference(renaming,[status(thm)],[c_2223]) ).
tcf(c_2225,plain,
! [X0: $i] :
( greater(age(sk2,X0),eta)
| has_immunity(sk2,X0) ),
inference(prop_impl_just,[status(thm)],[c_1393,c_1458]) ).
tcf(c_2226,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| greater(age(sk2,X0),eta) ),
inference(renaming,[status(thm)],[c_2225]) ).
tcf(c_2235,plain,
( greater(sigma,age(sk2,sk4))
| ( age(sk2,sk4) = sigma ) ),
inference(prop_impl_just,[status(thm)],[c_1434]) ).
tcf(c_2239,plain,
( greater(eta,age(sk2,sk4))
| ( age(sk2,sk4) = eta ) ),
inference(prop_impl_just,[status(thm)],[c_1450]) ).
tcf(c_2241,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,X0) = very_low )
| ~ has_immunity(sk2,X0) ),
inference(prop_impl_just,[status(thm)],[c_1225]) ).
tcf(c_2245,plain,
! [X0: $i] :
( ( age(sk2,X0) != eta )
| has_immunity(sk2,X0) ),
inference(prop_impl_just,[status(thm)],[c_1393]) ).
tcf(c_2246,plain,
! [X0: $i] :
( has_immunity(sk2,X0)
| ( age(sk2,X0) != eta ) ),
inference(renaming,[status(thm)],[c_2245]) ).
tcf(c_2671,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ greater(age(sk2,X0),sigma)
| ~ is_aligned(sk2,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1183]) ).
tcf(c_2672,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sk2,X0) != zero ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1183]) ).
tcf(c_2673,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1183]) ).
tcf(c_2674,plain,
! [X0: $i] :
( ~ iPr_def_12
| greater(age(sk2,X0),sigma)
| is_aligned(sk2,X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1171]) ).
tcf(c_2675,plain,
( iPr_def_12
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1171]) ).
tcf(c_2678,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2681,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( greater(X0,X2)
| ~ greater(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_3262,plain,
( ~ iPr_def_11
| ( age(sk2,sk3) != zero ) ),
inference(instantiation,[status(thm)],[c_2672]) ).
tcf(c_3270,plain,
( ~ iPr_def_10
| ~ is_aligned(sk2,sk5)
| ~ greater(age(sk2,sk5),sigma) ),
inference(instantiation,[status(thm)],[c_2671]) ).
tcf(c_3277,plain,
( ~ has_immunity(sk2,sk5)
| ~ greater(age(sk2,sk5),eta) ),
inference(instantiation,[status(thm)],[c_2224]) ).
tcf(c_3278,plain,
! [X0: $i,X1: $i] :
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ greater(X1,X0)
| ( hazard_of_mortality(sk2,sk5) != X1 )
| ( hazard_of_mortality(sk2,sk4) != X0 ) ),
inference(instantiation,[status(thm)],[c_2681]) ).
tcf(c_3285,plain,
( ~ greater(zero,eta)
| ~ greater(eta,zero) ),
inference(instantiation,[status(thm)],[c_109]) ).
tcf(c_3291,plain,
( is_aligned(sk2,sk5)
| has_immunity(sk2,sk5)
| ( hazard_of_mortality(sk2,sk5) = high )
| ( hazard_of_mortality(sk2,sk5) = mod1 ) ),
inference(instantiation,[status(thm)],[c_1210]) ).
tcf(c_3620,plain,
( ( hazard_of_mortality(sk2,sk4) = very_low )
| ~ has_immunity(sk2,sk4) ),
inference(instantiation,[status(thm)],[c_2241]) ).
tcf(c_3679,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| greater(age(sk2,X0),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_2674,c_138,c_2674,c_2675,c_3262]) ).
tcf(c_3683,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ~ greater(sigma,age(sk2,X0)) ),
inference(superposition,[status(thm)],[c_3679,c_109]) ).
tcf(c_3718,plain,
! [X0: $i] :
( greater(high,X0)
| ~ greater(mod1,X0) ),
inference(superposition,[status(thm)],[c_131,c_110]) ).
tcf(c_3719,plain,
! [X0: $i] :
( greater(mod1,X0)
| ~ greater(low,X0) ),
inference(superposition,[status(thm)],[c_132,c_110]) ).
tcf(c_3793,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4) )
| ( hazard_of_mortality(sk2,sk4) != X0 )
| ( hazard_of_mortality(sk2,sk3) != X0 ) ),
inference(instantiation,[status(thm)],[c_2678]) ).
tcf(c_3982,plain,
( ( age(sk2,sk4) = eta )
| ~ greater(age(sk2,sk4),eta) ),
inference(superposition,[status(thm)],[c_2239,c_109]) ).
tcf(c_4007,plain,
greater(mod1,very_low),
inference(superposition,[status(thm)],[c_133,c_3719]) ).
tcf(c_4051,plain,
! [X0: $i] :
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ greater(high,X0)
| ( hazard_of_mortality(sk2,sk5) != high )
| ( hazard_of_mortality(sk2,sk4) != X0 ) ),
inference(instantiation,[status(thm)],[c_3278]) ).
tcf(c_4311,plain,
( has_immunity(sk2,sk4)
| ( age(sk2,sk4) != eta ) ),
inference(instantiation,[status(thm)],[c_2246]) ).
tcf(c_4313,plain,
( has_immunity(sk2,sk4)
| greater(age(sk2,sk4),eta) ),
inference(instantiation,[status(thm)],[c_2226]) ).
tcf(c_4461,plain,
greater(high,very_low),
inference(superposition,[status(thm)],[c_4007,c_3718]) ).
tcf(c_4889,plain,
( ( hazard_of_mortality(sk2,sk3) = hazard_of_mortality(sk2,sk4) )
| ( hazard_of_mortality(sk2,sk4) != very_low )
| ( hazard_of_mortality(sk2,sk3) != very_low ) ),
inference(instantiation,[status(thm)],[c_3793]) ).
tcf(c_5181,plain,
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ greater(high,very_low)
| ( hazard_of_mortality(sk2,sk5) != high )
| ( hazard_of_mortality(sk2,sk4) != very_low ) ),
inference(instantiation,[status(thm)],[c_4051]) ).
tcf(c_5263,plain,
! [X0: $i] :
( ~ is_aligned(sk2,X0)
| ~ greater(age(sk2,X0),sigma) ),
inference(global_subsumption_just,[status(thm)],[c_2671,c_138,c_2671,c_2673,c_3262]) ).
tcf(c_5265,plain,
~ is_aligned(sk2,sk5),
inference(superposition,[status(thm)],[c_145,c_5263]) ).
tcf(c_5269,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = high )
| ( hazard_of_mortality(sk2,X0) = mod1 )
| ( hazard_of_mortality(sk2,X0) = very_low ) ),
inference(superposition,[status(thm)],[c_1210,c_2241]) ).
tcf(c_5287,plain,
( is_aligned(sk2,sk4)
| ( age(sk2,sk4) = sigma ) ),
inference(superposition,[status(thm)],[c_2235,c_3683]) ).
tcf(c_5292,plain,
( has_immunity(sk2,sk4)
| ( hazard_of_mortality(sk2,sk4) = mod2 )
| ( hazard_of_mortality(sk2,sk4) = low )
| ( age(sk2,sk4) = sigma ) ),
inference(superposition,[status(thm)],[c_5287,c_1195]) ).
tcf(c_5425,plain,
( ( hazard_of_mortality(sk2,sk5) = high )
| ( hazard_of_mortality(sk2,sk5) = mod1 )
| ( hazard_of_mortality(sk2,sk5) = very_low ) ),
inference(superposition,[status(thm)],[c_5269,c_5265]) ).
tcf(c_5427,plain,
( ( hazard_of_mortality(sk2,sk5) = high )
| ( hazard_of_mortality(sk2,sk5) = mod1 ) ),
inference(global_subsumption_just,[status(thm)],[c_5425,c_147,c_145,c_138,c_2673,c_3262,c_3270,c_3277,c_3291]) ).
tcf(c_5455,plain,
has_immunity(sk2,sk4),
inference(global_subsumption_just,[status(thm)],[c_5292,c_3982,c_4313,c_4311]) ).
tcf(c_5457,plain,
hazard_of_mortality(sk2,sk4) = very_low,
inference(superposition,[status(thm)],[c_5455,c_2241]) ).
tcf(c_6148,plain,
( greater(zero,eta)
| has_immunity(sk2,sk3) ),
inference(superposition,[status(thm)],[c_138,c_2226]) ).
tcf(c_6208,plain,
has_immunity(sk2,sk3),
inference(global_subsumption_just,[status(thm)],[c_6148,c_141,c_3285,c_6148]) ).
tcf(c_6210,plain,
hazard_of_mortality(sk2,sk3) = very_low,
inference(superposition,[status(thm)],[c_6208,c_2241]) ).
tcf(c_6211,plain,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ( hazard_of_mortality(sk2,sk4) != very_low ) ),
inference(superposition,[status(thm)],[c_6210,c_148]) ).
tcf(c_6293,plain,
~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)),
inference(global_subsumption_just,[status(thm)],[c_6211,c_148,c_3620,c_4889,c_5455,c_6210]) ).
tcf(c_6295,plain,
( ( hazard_of_mortality(sk2,sk5) = mod1 )
| ~ greater(high,hazard_of_mortality(sk2,sk4)) ),
inference(superposition,[status(thm)],[c_5427,c_6293]) ).
tcf(c_6296,plain,
~ greater(hazard_of_mortality(sk2,sk5),very_low),
inference(superposition,[status(thm)],[c_5457,c_6293]) ).
tcf(c_6387,plain,
hazard_of_mortality(sk2,sk5) = mod1,
inference(global_subsumption_just,[status(thm)],[c_6295,c_148,c_3620,c_4461,c_4889,c_5181,c_5427,c_5455,c_6210]) ).
tcf(c_6389,plain,
~ greater(mod1,very_low),
inference(superposition,[status(thm)],[c_6387,c_6296]) ).
tcf(c_6391,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_6389,c_4007]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT065-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Thu Sep 24 01:18:12 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 0.08/0.42
% 0.08/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.42
% 0.08/0.42 % Detected problem language: tptp
% 0.08/0.43 % Proving...
% 1.43/1.29 % SZS status Started for theBenchmark.p
% 1.43/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.43/1.29
% 1.43/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.43/1.29
% 1.43/1.29 % ------ iProver source info
% 1.43/1.29
% 1.43/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 1.43/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.43/1.29 % git: non_committed_changes: false
% 1.43/1.29
% 1.43/1.29 % ------ Parsing...% successful
% 1.43/1.29
% 1.43/1.29
% 1.43/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.43/1.29
% 1.43/1.29 % ------ 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: 4 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 1.43/1.29
% 1.43/1.29 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.43/1.29
% 1.43/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 1.43/1.29 % ------ Proving...
% 1.43/1.29 % ------ Problem Properties
% 1.43/1.29
% 1.43/1.29 %
% 1.43/1.29 % clauses 33
% 1.43/1.29 % conjectures 8
% 1.43/1.29 % EPR 13
% 1.43/1.29 % Horn 23
% 1.43/1.29 % unary 12
% 1.43/1.29 % binary 15
% 1.43/1.29 % lits 62
% 1.43/1.29 % lits eq 15
% 1.43/1.29 % fd_pure 0
% 1.43/1.29 % fd_pseudo 0
% 1.43/1.29 % fd_cond 0
% 1.43/1.29 % fd_pseudo_cond 1
% 1.43/1.29 % AC symbols 0
% 1.43/1.29
% 1.43/1.29 % ------ Input Options Time Limit: Unbounded
% 1.43/1.29
% 1.43/1.29
% 1.43/1.29 % ------
% 1.43/1.29 % Current options:
% 1.43/1.29 % ------
% 1.43/1.29
% 1.43/1.29
% 1.43/1.29 %
% 1.43/1.29
% 1.43/1.29 % ------ Proving...
% 1.43/1.29 %
% 1.43/1.29
% 1.43/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 1.43/1.29
% 1.43/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.43/1.29
% 1.43/1.29
%------------------------------------------------------------------------------