%------------------------------------------------------------------------------
% 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/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 : Unsatisfiable 2.41s 1.29s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 31
% Syntax : Number of formulae : 156 ( 50 unt; 6 def)
% Number of atoms : 432 ( 115 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 471 ( 226 ~; 245 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 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 : 21 ( 19 usr; 10 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 193 ( 0 sgn 193 !; 0 ?; 149 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
fof(f7,axiom,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
fof(f8,axiom,
! [X0,X1] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
fof(f11,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
fof(f12,axiom,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1_39) ).
fof(f13,axiom,
! [X2,X0,X1] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_40) ).
fof(f15,axiom,
! [X2,X0,X1] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_42) ).
fof(f17,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2_44) ).
fof(f20,axiom,
! [X0,X1] :
( is_aligned(X0,X1)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13_47) ).
fof(f21,axiom,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_48) ).
fof(f22,axiom,
! [X2,X0,X1] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15_49) ).
fof(f23,axiom,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau)
| ~ robust_position(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4_50) ).
fof(f24,axiom,
! [X0,X1] :
( positional_advantage(X0,X1)
| ~ greater(age(X0,X1),tau)
| ~ robust_position(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4_51) ).
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/sandbox2/benchmark/theBenchmark.p',assumption_17_58) ).
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/sandbox2/benchmark/theBenchmark.p',assumption_17_59) ).
fof(f34,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19_61) ).
fof(f35,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_62) ).
fof(f36,negated_conjecture,
robust_position(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_63) ).
fof(f37,negated_conjecture,
~ has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_64) ).
fof(f38,negated_conjecture,
age(sk2,sk3) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_65) ).
fof(f39,plain,
zero = age(sk2,sk3),
inference(reorient_equations,[],[f38]) ).
fof(f42,negated_conjecture,
sigma = tau,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_68) ).
fof(f43,negated_conjecture,
smaller_or_equal(age(sk2,sk4),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_69) ).
fof(f44,negated_conjecture,
greater(age(sk2,sk5),sigma),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_70) ).
fof(f45,negated_conjecture,
( hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3)
| ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8_71) ).
fof(f46,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),tau)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(definition_unfolding,[],[f21,f42]) ).
fof(f47,plain,
! [X2,X0,X1] :
( greater(age(X0,X2),tau)
| ~ dissimilar(X0,X1,X2)
| age(X0,X1) != zero
| ~ organization(X0) ),
inference(definition_unfolding,[],[f22,f42]) ).
fof(f49,plain,
smaller_or_equal(age(sk2,sk4),tau),
inference(definition_unfolding,[],[f43,f42]) ).
fof(f50,plain,
greater(age(sk2,sk5),tau),
inference(definition_unfolding,[],[f44,f42]) ).
fof(f51,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_95,plain,
! [X0: $i] : smaller_or_equal(X0,X0),
inference(cnf_transformation,[],[f51]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] :
( smaller(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] :
( smaller(X0,X1)
| greater(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] :
( has_endowment(X0)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| dissimilar(X0,X1,X2)
| ~ organization(X0)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_110,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| ~ organization(X0)
| ( age(X0,X1) != zero ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_111,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,[],[f46]) ).
tcf(c_112,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,[],[f47]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i] :
( ~ robust_position(X0)
| ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_114,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| ~ robust_position(X0)
| ~ greater(age(X0,X1),tau) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_120,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_121,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_123,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f34]) ).
tcf(c_124,negated_conjecture,
organization(sk2),
inference(cnf_transformation,[],[f35]) ).
tcf(c_125,negated_conjecture,
robust_position(sk2),
inference(cnf_transformation,[],[f36]) ).
tcf(c_126,negated_conjecture,
~ has_endowment(sk2),
inference(cnf_transformation,[],[f37]) ).
tcf(c_127,negated_conjecture,
age(sk2,sk3) = zero,
inference(cnf_transformation,[],[f39]) ).
tcf(c_130,negated_conjecture,
smaller_or_equal(age(sk2,sk4),tau),
inference(cnf_transformation,[],[f49]) ).
tcf(c_131,negated_conjecture,
greater(age(sk2,sk5),tau),
inference(cnf_transformation,[],[f50]) ).
tcf(c_132,negated_conjecture,
( ~ smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ( hazard_of_mortality(sk2,sk3) != hazard_of_mortality(sk2,sk4) ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_154,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_112,c_105,c_112]) ).
tcf(c_155,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_154]) ).
tcf(c_551,plain,
! [X0: $i,X1: $i] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_104,c_126]) ).
tcf(c_552,plain,
! [X0: $i] :
( ~ organization(sk2)
| ~ has_immunity(sk2,X0) ),
inference(unflattening,[status(thm)],[c_551]) ).
tcf(c_554,plain,
! [X0: $i] : ~ has_immunity(sk2,X0),
inference(global_subsumption_just,[status(thm)],[c_552,c_124,c_552]) ).
tcf(c_1015,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 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_121,c_554]) ).
tcf(c_1016,plain,
! [X0: $i] :
( positional_advantage(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ organization(sk2)
| ~ is_aligned(sk2,X0) ),
inference(unflattening,[status(thm)],[c_1015]) ).
tcf(c_1018,plain,
! [X0: $i] :
( positional_advantage(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ is_aligned(sk2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1016,c_124,c_1016]) ).
tcf(c_1030,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 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_120,c_554]) ).
tcf(c_1031,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod1 )
| ~ organization(sk2)
| ~ positional_advantage(sk2,X0) ),
inference(unflattening,[status(thm)],[c_1030]) ).
tcf(c_1094,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_111,c_107]) ).
tcf(c_1095,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_1094]) ).
tcf(c_1097,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_1095,c_110,c_1095]) ).
tcf(c_1098,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_1097]) ).
tcf(c_1118,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_108,c_155]) ).
tcf(c_1119,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_1118]) ).
tcf(c_1120,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_1119,c_110,c_1119]) ).
tcf(c_1159,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(X0,X2)
| greater(age(X0,X2),tau)
| ( X0 != sk2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_1120,c_124]) ).
tcf(c_1160,plain,
! [X0: $i,X1: $i] :
( is_aligned(sk2,X1)
| greater(age(sk2,X1),tau)
| ( age(sk2,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_1159]) ).
tcf(c_1171,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ is_aligned(X0,X2)
| ~ greater(age(X0,X2),tau)
| ( X0 != sk2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_1098,c_124]) ).
tcf(c_1172,plain,
! [X0: $i,X1: $i] :
( ~ is_aligned(sk2,X1)
| ~ greater(age(sk2,X1),tau)
| ( age(sk2,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_1171]) ).
tcf(c_1196,plain,
! [X0: $i,X1: $i] :
( positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod2 )
| ~ is_aligned(X0,X1)
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_121,c_124]) ).
tcf(c_1197,plain,
! [X0: $i] :
( positional_advantage(sk2,X0)
| has_immunity(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ is_aligned(sk2,X0) ),
inference(unflattening,[status(thm)],[c_1196]) ).
tcf(c_1198,plain,
! [X0: $i] :
( positional_advantage(sk2,X0)
| ~ is_aligned(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod2 ) ),
inference(global_subsumption_just,[status(thm)],[c_1197,c_1018]) ).
tcf(c_1199,plain,
! [X0: $i] :
( positional_advantage(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ is_aligned(sk2,X0) ),
inference(renaming,[status(thm)],[c_1198]) ).
tcf(c_1209,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| has_immunity(X0,X1)
| ( hazard_of_mortality(X0,X1) = mod1 )
| ~ positional_advantage(X0,X1)
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_120,c_124]) ).
tcf(c_1210,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| has_immunity(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod1 )
| ~ positional_advantage(sk2,X0) ),
inference(unflattening,[status(thm)],[c_1209]) ).
tcf(c_1211,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ~ positional_advantage(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod1 ) ),
inference(global_subsumption_just,[status(thm)],[c_1210,c_124,c_1031]) ).
tcf(c_1212,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod1 )
| ~ positional_advantage(sk2,X0) ),
inference(renaming,[status(thm)],[c_1211]) ).
tcf(c_1237,plain,
! [X0: $i,X1: $i] :
( is_aligned(X0,X1)
| ( X0 != sk2 )
| ( age(X0,X1) != zero ) ),
inference(resolution_lifted,[status(thm)],[c_110,c_124]) ).
tcf(c_1238,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ( age(sk2,X0) != zero ) ),
inference(unflattening,[status(thm)],[c_1237]) ).
tcf(c_1420,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ robust_position(X1)
| ~ robust_position(X0)
| ~ smaller_or_equal(age(X1,X3),tau)
| ~ greater(age(X0,X2),tau)
| ( X2 != X3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_114,c_113]) ).
tcf(c_1421,plain,
! [X0: $i,X1: $i] :
( ~ robust_position(X0)
| ~ smaller_or_equal(age(X0,X1),tau)
| ~ greater(age(X0,X1),tau) ),
inference(unflattening,[status(thm)],[c_1420]) ).
tcf(c_1481,plain,
! [X0: $i,X1: $i,X2: $i] :
( is_aligned(sk2,X2)
| ( hazard_of_mortality(sk2,X2) = mod1 )
| ~ robust_position(X0)
| ~ greater(age(X0,X1),tau)
| ( X1 != X2 )
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_114,c_1212]) ).
tcf(c_1482,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod1 )
| ~ robust_position(sk2)
| ~ greater(age(sk2,X0),tau) ),
inference(unflattening,[status(thm)],[c_1481]) ).
tcf(c_1484,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod1 )
| ~ greater(age(sk2,X0),tau) ),
inference(global_subsumption_just,[status(thm)],[c_1482,c_125,c_1482]) ).
tcf(c_1496,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hazard_of_mortality(sk2,X2) = mod2 )
| ~ robust_position(X0)
| ~ is_aligned(sk2,X2)
| ~ smaller_or_equal(age(X0,X1),tau)
| ( X1 != X2 )
| ( X0 != sk2 ) ),
inference(resolution_lifted,[status(thm)],[c_113,c_1199]) ).
tcf(c_1497,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ robust_position(sk2)
| ~ is_aligned(sk2,X0)
| ~ smaller_or_equal(age(sk2,X0),tau) ),
inference(unflattening,[status(thm)],[c_1496]) ).
tcf(c_1499,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ smaller_or_equal(age(sk2,X0),tau)
| ~ is_aligned(sk2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_1497,c_125,c_1497]) ).
tcf(c_1500,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ is_aligned(sk2,X0)
| ~ smaller_or_equal(age(sk2,X0),tau) ),
inference(renaming,[status(thm)],[c_1499]) ).
tcf(c_1706,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ is_aligned(sk2,X0)
| ~ smaller(X1,X2)
| ( X2 != tau )
| ( age(sk2,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_1500]) ).
tcf(c_1707,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ is_aligned(sk2,X0)
| ~ smaller(age(sk2,X0),tau) ),
inference(unflattening,[status(thm)],[c_1706]) ).
tcf(c_1730,plain,
! [X0: $i,X1: $i] :
( ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ is_aligned(sk2,X0)
| ( X1 != tau )
| ( age(sk2,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_95,c_1500]) ).
tcf(c_1731,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ is_aligned(sk2,X0)
| ( age(sk2,X0) != tau ) ),
inference(unflattening,[status(thm)],[c_1730]) ).
tcf(c_2761,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ is_aligned(sk2,X0)
| ~ greater(age(sk2,X0),tau) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_1172]) ).
tcf(c_2762,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sk2,X0) != zero ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1172]) ).
tcf(c_2763,plain,
( iPr_def_11
| iPr_def_10 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1172]) ).
tcf(c_2764,plain,
! [X0: $i] :
( ~ iPr_def_12
| is_aligned(sk2,X0)
| greater(age(sk2,X0),tau) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_1160]) ).
tcf(c_2765,plain,
( iPr_def_12
| iPr_def_11 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_1160]) ).
tcf(c_2766,definition,
iPr_def_13 = age(sk2,sk5),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2767,definition,
iPr_def_14 = age(sk2,sk4),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2768,definition,
iPr_def_15 = hazard_of_mortality(sk2,sk3),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2769,definition,
iPr_def_16 = hazard_of_mortality(sk2,sk4),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_2770,definition,
iPr_def_17 = hazard_of_mortality(sk2,sk5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_2771,definition,
iPr_def_18 = age(sk2,sk3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_2773,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ is_aligned(sk2,X0)
| ~ smaller_or_equal(age(sk2,X0),tau) ),
inference(demodulation,[status(thm)],[c_1500]) ).
tcf(c_2774,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod1 )
| ~ greater(age(sk2,X0),tau) ),
inference(demodulation,[status(thm)],[c_1484]) ).
tcf(c_2778,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ( age(sk2,X0) != zero ) ),
inference(demodulation,[status(thm)],[c_1238]) ).
tcf(c_2779,plain,
( iPr_def_11
| iPr_def_10 ),
inference(demodulation,[status(thm)],[c_2763]) ).
tcf(c_2781,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ is_aligned(sk2,X0)
| ~ greater(age(sk2,X0),tau) ),
inference(demodulation,[status(thm)],[c_2761]) ).
tcf(c_2782,plain,
( iPr_def_12
| iPr_def_11 ),
inference(demodulation,[status(thm)],[c_2765]) ).
tcf(c_2783,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sk2,X0) != zero ) ),
inference(demodulation,[status(thm)],[c_2762]) ).
tcf(c_2784,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| greater(age(sk2,X0),tau)
| ~ iPr_def_12 ),
inference(demodulation,[status(thm)],[c_2764]) ).
tcf(c_2785,negated_conjecture,
greater(iPr_def_13,tau),
inference(demodulation,[status(thm)],[c_131,c_2766]) ).
tcf(c_2786,negated_conjecture,
smaller_or_equal(iPr_def_14,tau),
inference(demodulation,[status(thm)],[c_130,c_2767]) ).
tcf(c_2787,negated_conjecture,
( ~ smaller(iPr_def_17,iPr_def_16)
| ( iPr_def_15 != iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_132,c_2770,c_2769,c_2768]) ).
tcf(c_2789,negated_conjecture,
iPr_def_18 = zero,
inference(demodulation,[status(thm)],[c_127,c_2771]) ).
tcf(c_2790,negated_conjecture,
robust_position(sk2),
inference(demodulation,[status(thm)],[c_125]) ).
tcf(c_3217,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( age(sk2,X0) != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2783,c_2789]) ).
tcf(c_3224,plain,
~ iPr_def_11,
inference(superposition,[status(thm)],[c_2771,c_3217]) ).
tcf(c_3227,plain,
iPr_def_12,
inference(backward_subsumption_resolution,[status(thm)],[c_2782,c_3224]) ).
tcf(c_3228,plain,
iPr_def_10,
inference(backward_subsumption_resolution,[status(thm)],[c_2779,c_3224]) ).
tcf(c_3229,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ( age(sk2,X0) != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2778,c_2789]) ).
tcf(c_3236,plain,
is_aligned(sk2,sk3),
inference(superposition,[status(thm)],[c_2771,c_3229]) ).
tcf(c_3251,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| greater(age(sk2,X0),tau) ),
inference(global_subsumption_just,[status(thm)],[c_2784,c_2784,c_3227]) ).
tcf(c_3259,plain,
( greater(iPr_def_14,tau)
| is_aligned(sk2,sk4) ),
inference(superposition,[status(thm)],[c_2767,c_3251]) ).
tcf(c_3263,plain,
! [X0: $i] :
( ~ greater(age(sk2,X0),tau)
| ~ is_aligned(sk2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2781,c_2781,c_3228]) ).
tcf(c_3264,plain,
! [X0: $i] :
( ~ is_aligned(sk2,X0)
| ~ greater(age(sk2,X0),tau) ),
inference(renaming,[status(thm)],[c_3263]) ).
tcf(c_3273,plain,
( ~ greater(iPr_def_13,tau)
| ~ is_aligned(sk2,sk5) ),
inference(superposition,[status(thm)],[c_2766,c_3264]) ).
tcf(c_3274,plain,
~ is_aligned(sk2,sk5),
inference(forward_subsumption_resolution,[status(thm)],[c_3273,c_2785]) ).
tcf(c_3287,plain,
smaller(mod1,mod2),
inference(superposition,[status(thm)],[c_123,c_100]) ).
tcf(c_3311,plain,
! [X0: $i,X1: $i] :
( greater(X1,X0)
| greater(X0,X1)
| ( X0 = X1 ) ),
inference(superposition,[status(thm)],[c_103,c_99]) ).
tcf(c_3341,plain,
( ~ robust_position(sk2)
| ~ smaller_or_equal(iPr_def_14,tau)
| ~ greater(age(sk2,sk4),tau) ),
inference(superposition,[status(thm)],[c_2767,c_1421]) ).
tcf(c_3345,plain,
( ~ robust_position(sk2)
| ~ smaller_or_equal(iPr_def_14,tau)
| ~ greater(iPr_def_14,tau) ),
inference(light_normalisation,[status(thm)],[c_3341,c_2767]) ).
tcf(c_3346,plain,
~ greater(iPr_def_14,tau),
inference(forward_subsumption_resolution,[status(thm)],[c_3345,c_2790,c_2786]) ).
tcf(c_3348,plain,
is_aligned(sk2,sk4),
inference(backward_subsumption_resolution,[status(thm)],[c_3259,c_3346]) ).
tcf(c_3471,plain,
! [X0: $i] :
( greater(tau,age(sk2,X0))
| ( age(sk2,X0) = tau )
| ~ is_aligned(sk2,X0) ),
inference(superposition,[status(thm)],[c_3311,c_3264]) ).
tcf(c_4579,plain,
! [X0: $i] :
( is_aligned(sk2,X0)
| ( hazard_of_mortality(sk2,X0) = mod1 ) ),
inference(global_subsumption_just,[status(thm)],[c_2774,c_1484,c_2784,c_3227]) ).
tcf(c_4586,plain,
hazard_of_mortality(sk2,sk5) = mod1,
inference(superposition,[status(thm)],[c_4579,c_3274]) ).
tcf(c_4587,plain,
mod1 = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_4586,c_2770]) ).
tcf(c_4599,plain,
smaller(iPr_def_17,mod2),
inference(demodulation,[status(thm)],[c_3287,c_4587]) ).
tcf(c_5560,plain,
! [X0: $i] :
( smaller(age(sk2,X0),tau)
| ( age(sk2,X0) = tau )
| ~ is_aligned(sk2,X0) ),
inference(superposition,[status(thm)],[c_3471,c_100]) ).
tcf(c_5660,plain,
! [X0: $i] :
( ( hazard_of_mortality(sk2,X0) = mod2 )
| ~ is_aligned(sk2,X0) ),
inference(global_subsumption_just,[status(thm)],[c_2773,c_1707,c_1731,c_5560]) ).
tcf(c_5667,plain,
hazard_of_mortality(sk2,sk3) = mod2,
inference(superposition,[status(thm)],[c_3236,c_5660]) ).
tcf(c_5668,plain,
hazard_of_mortality(sk2,sk4) = mod2,
inference(superposition,[status(thm)],[c_3348,c_5660]) ).
tcf(c_5669,plain,
mod2 = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_5668,c_2769]) ).
tcf(c_5670,plain,
mod2 = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_5667,c_2768]) ).
tcf(c_5678,plain,
smaller(iPr_def_17,iPr_def_16),
inference(demodulation,[status(thm)],[c_4599,c_5669]) ).
tcf(c_5689,plain,
iPr_def_15 != iPr_def_16,
inference(backward_subsumption_resolution,[status(thm)],[c_2787,c_5678]) ).
tcf(c_5709,plain,
iPr_def_15 = iPr_def_16,
inference(demodulation,[status(thm)],[c_5669,c_5670]) ).
tcf(c_5710,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_5709,c_5689]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 01:19:06 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 2.41/1.29 % SZS status Started for theBenchmark.p
% 2.41/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.41/1.29
% 2.41/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.41/1.29
% 2.41/1.29 % ------ iProver source info
% 2.41/1.29
% 2.41/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.41/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.41/1.29 % git: non_committed_changes: false
% 2.41/1.29
% 2.41/1.29 % ------ Parsing...% successful
% 2.41/1.29
% 2.41/1.29
% 2.41/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.41/1.29
% 2.41/1.29 % ------ 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 %
% 2.41/1.29
% 2.41/1.29 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.41/1.29
% 2.41/1.29 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.41/1.29 % ------ Proving...
% 2.41/1.29 % ------ Problem Properties
% 2.41/1.29
% 2.41/1.29 %
% 2.41/1.29 % clauses 35
% 2.41/1.29 % conjectures 6
% 2.41/1.29 % EPR 17
% 2.41/1.29 % Horn 25
% 2.41/1.29 % unary 13
% 2.41/1.29 % binary 9
% 2.41/1.29 % lits 70
% 2.41/1.29 % lits eq 20
% 2.41/1.29 % fd_pure 0
% 2.41/1.29 % fd_pseudo 0
% 2.41/1.29 % fd_cond 0
% 2.41/1.29 % fd_pseudo_cond 2
% 2.41/1.29 % AC symbols 0
% 2.41/1.29
% 2.41/1.29 % ------ Schedule dynamic 5 is on
% 2.41/1.29
% 2.41/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.41/1.29
% 2.41/1.29
% 2.41/1.29 % ------
% 2.41/1.29 % Current options:
% 2.41/1.29 % ------
% 2.41/1.29
% 2.41/1.29
% 2.41/1.29 %
% 2.41/1.29
% 2.41/1.29 % ------ Proving...
% 2.41/1.29 %
% 2.41/1.29
% 2.41/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.41/1.29
% 2.41/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.41/1.29
% 2.41/1.29
%------------------------------------------------------------------------------