%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT055+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 : Thu Sep 24 08:50:45 AM UTC 2026
% Result : Theorem 256.53s 271.81s
% Output : Proof 257.52s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(definition_smaller_or_equal,axiom,
! [X,Y] :
( smaller_or_equal(X,Y)
<=> ( X = Y
| smaller(X,Y) ) ),
file('MGT001+0.ax',definition_smaller_or_equal) ).
fof(definition_greater_or_equal,axiom,
! [X,Y] :
( greater_or_equal(X,Y)
<=> ( X = Y
| greater(X,Y) ) ),
file('MGT001+0.ax',definition_greater_or_equal) ).
fof(definition_smaller,axiom,
! [X,Y] :
( smaller(X,Y)
<=> greater(Y,X) ),
file('MGT001+0.ax',definition_smaller) ).
fof(meaning_postulate_greater_strict,axiom,
! [X,Y] :
~ ( greater(Y,X)
& greater(X,Y) ),
file('MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(meaning_postulate_greater_transitive,axiom,
! [X,Y,Z] :
( ( greater(Y,Z)
& greater(X,Y) )
=> greater(X,Z) ),
file('MGT001+0.ax',meaning_postulate_greater_transitive) ).
fof(meaning_postulate_greater_comparable,axiom,
! [X,Y] :
( greater(X,Y)
| X = Y
| smaller(X,Y) ),
file('MGT001+0.ax',meaning_postulate_greater_comparable) ).
fof(definition_1,axiom,
! [X] :
( has_endowment(X)
<=> ! [T] :
( ( greater(age(X,T),eta)
=> ~ has_immunity(X,T) )
& ( smaller_or_equal(age(X,T),eta)
=> has_immunity(X,T) )
& organization(X) ) ),
file('theBenchmark.p',definition_1) ).
fof(assumption_2,axiom,
! [X,T0,T] :
( ( has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
file('theBenchmark.p',assumption_2) ).
fof(assumption_3,axiom,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ),
file('theBenchmark.p',assumption_3) ).
fof(definition_2,axiom,
! [X,T0,T] :
( dissimilar(X,T0,T)
<=> ( ~ ( is_aligned(X,T0)
<=> is_aligned(X,T) )
& organization(X) ) ),
file('theBenchmark.p',definition_2) ).
fof(assumption_13,axiom,
! [X,T] :
( ( age(X,T) = zero
& organization(X) )
=> is_aligned(X,T) ),
file('theBenchmark.p',assumption_13) ).
fof(assumption_14,axiom,
! [X,T0,T] :
( ( ~ is_aligned(X,T)
& is_aligned(X,T0)
& organization(X) )
=> greater(capability(X,T0),capability(X,T)) ),
file('theBenchmark.p',assumption_14) ).
fof(assumption_15,axiom,
! [X,T0,T] :
( ( age(X,T0) = zero
& organization(X) )
=> ( greater(age(X,T),sigma)
<=> dissimilar(X,T0,T) ) ),
file('theBenchmark.p',assumption_15) ).
fof(assumption_16,axiom,
! [X,T0,T] :
( ( greater(capability(X,T),capability(X,T0))
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T)) ),
file('theBenchmark.p',assumption_16) ).
fof(lemma_8,conjecture,
! [X,T0,T1,T2,T3] :
( ( greater(eta,zero)
& greater(sigma,eta)
& greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& age(X,T0) = zero
& has_endowment(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) ) ),
file('theBenchmark.p',lemma_8) ).
fof(f_1_1,plain,
! [X,Y] :
( ( smaller_or_equal(X,Y)
| ( X != Y
& ~ smaller(X,Y) ) )
& ( X = Y
| smaller(X,Y)
| ~ smaller_or_equal(X,Y) ) ),
inference(fof_nnf,[status(thm)],[definition_smaller_or_equal]) ).
fof(f_1_2,plain,
! [U_1,U_0] :
( ( smaller_or_equal(U_1,U_0)
| ( U_1 != U_0
& ~ smaller(U_1,U_0) ) )
& ( U_1 = U_0
| smaller(U_1,U_0)
| ~ smaller_or_equal(U_1,U_0) ) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_5,U_3] :
( smaller_or_equal(U_5,U_3)
| ( U_5 != U_3
& ~ smaller(U_5,U_3) ) )
& ! [U_4,U_2] :
( U_4 = U_2
| smaller(U_4,U_2)
| ~ smaller_or_equal(U_4,U_2) ) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
( U_4 = U_2
| smaller(U_4,U_2)
| ~ smaller_or_equal(U_4,U_2) ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,plain,
( ~ smaller(U_5,U_3)
| smaller_or_equal(U_5,U_3) ),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_6,plain,
( U_5 != U_3
| smaller_or_equal(U_5,U_3) ),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [X,Y] :
( ( greater_or_equal(X,Y)
| ( X != Y
& ~ greater(X,Y) ) )
& ( X = Y
| greater(X,Y)
| ~ greater_or_equal(X,Y) ) ),
inference(fof_nnf,[status(thm)],[definition_greater_or_equal]) ).
fof(f_2_2,plain,
! [U_7,U_6] :
( ( greater_or_equal(U_7,U_6)
| ( U_7 != U_6
& ~ greater(U_7,U_6) ) )
& ( U_7 = U_6
| greater(U_7,U_6)
| ~ greater_or_equal(U_7,U_6) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_11,U_9] :
( greater_or_equal(U_11,U_9)
| ( U_11 != U_9
& ~ greater(U_11,U_9) ) )
& ! [U_10,U_8] :
( U_10 = U_8
| greater(U_10,U_8)
| ~ greater_or_equal(U_10,U_8) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( U_10 = U_8
| greater(U_10,U_8)
| ~ greater_or_equal(U_10,U_8) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_5,plain,
( ~ greater(U_11,U_9)
| greater_or_equal(U_11,U_9) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_6,plain,
( U_11 != U_9
| greater_or_equal(U_11,U_9) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [X,Y] :
( ( smaller(X,Y)
| ~ greater(Y,X) )
& ( greater(Y,X)
| ~ smaller(X,Y) ) ),
inference(fof_nnf,[status(thm)],[definition_smaller]) ).
fof(f_3_2,plain,
! [U_13,U_12] :
( ( smaller(U_13,U_12)
| ~ greater(U_12,U_13) )
& ( greater(U_12,U_13)
| ~ smaller(U_13,U_12) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_17,U_15] :
( smaller(U_17,U_15)
| ~ greater(U_15,U_17) )
& ! [U_16,U_14] :
( greater(U_14,U_16)
| ~ smaller(U_16,U_14) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
cnf(f_3_4,plain,
( greater(U_14,U_16)
| ~ smaller(U_16,U_14) ),
inference(clausify,[status(thm)],[f_3_3]) ).
cnf(f_3_5,plain,
( smaller(U_17,U_15)
| ~ greater(U_15,U_17) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_4_1,plain,
! [X,Y] :
( ~ greater(Y,X)
| ~ greater(X,Y) ),
inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict]) ).
fof(f_4_2,plain,
! [U_19,U_18] :
( ~ greater(U_18,U_19)
| ~ greater(U_19,U_18) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
cnf(f_4_3,plain,
( ~ greater(U_18,U_19)
| ~ greater(U_19,U_18) ),
inference(clausify,[status(thm)],[f_4_2]) ).
fof(f_5_1,plain,
! [X,Y,Z] :
( greater(X,Z)
| ~ greater(Y,Z)
| ~ greater(X,Y) ),
inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive]) ).
fof(f_5_2,plain,
! [U_22,U_21,U_20] :
( greater(U_22,U_20)
| ~ greater(U_21,U_20)
| ~ greater(U_22,U_21) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( greater(U_22,U_20)
| ~ greater(U_21,U_20)
| ~ greater(U_22,U_21) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [X,Y] :
( greater(X,Y)
| X = Y
| smaller(X,Y) ),
inference(fof_nnf,[status(thm)],[meaning_postulate_greater_comparable]) ).
fof(f_6_2,plain,
! [U_24,U_23] :
( greater(U_24,U_23)
| U_24 = U_23
| smaller(U_24,U_23) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( greater(U_24,U_23)
| U_24 = U_23
| smaller(U_24,U_23) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_7_1,plain,
! [X] :
( ( has_endowment(X)
| ? [T] :
( ( has_immunity(X,T)
& greater(age(X,T),eta) )
| ( ~ has_immunity(X,T)
& smaller_or_equal(age(X,T),eta) )
| ~ organization(X) ) )
& ( ! [T] :
( ( ~ has_immunity(X,T)
| ~ greater(age(X,T),eta) )
& ( has_immunity(X,T)
| ~ smaller_or_equal(age(X,T),eta) )
& organization(X) )
| ~ has_endowment(X) ) ),
inference(fof_nnf,[status(thm)],[definition_1]) ).
fof(f_7_2,plain,
! [U_27] :
( ( has_endowment(U_27)
| ? [U_26] :
( ( has_immunity(U_27,U_26)
& greater(age(U_27,U_26),eta) )
| ( ~ has_immunity(U_27,U_26)
& smaller_or_equal(age(U_27,U_26),eta) )
| ~ organization(U_27) ) )
& ( ! [U_25] :
( ( ~ has_immunity(U_27,U_25)
| ~ greater(age(U_27,U_25),eta) )
& ( has_immunity(U_27,U_25)
| ~ smaller_or_equal(age(U_27,U_25),eta) )
& organization(U_27) )
| ~ has_endowment(U_27) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_33] :
( has_endowment(U_33)
| ? [U_31] :
( has_immunity(U_33,U_31)
& greater(age(U_33,U_31),eta) )
| ? [U_30] :
( ~ has_immunity(U_33,U_30)
& smaller_or_equal(age(U_33,U_30),eta) )
| ~ organization(U_33) )
& ! [U_32] :
( ( ! [U_29] :
( ~ has_immunity(U_32,U_29)
| ~ greater(age(U_32,U_29),eta) )
& ! [U_28] :
( has_immunity(U_32,U_28)
| ~ smaller_or_equal(age(U_32,U_28),eta) )
& organization(U_32) )
| ~ has_endowment(U_32) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
( ! [U_33] :
( has_endowment(U_33)
| ? [U_31] :
( has_immunity(U_33,U_31)
& greater(age(U_33,U_31),eta) )
| ( ~ has_immunity(U_33,sK1(U_33))
& smaller_or_equal(age(U_33,sK1(U_33)),eta) )
| ~ organization(U_33) )
& ! [U_32] :
( ( ! [U_29] :
( ~ has_immunity(U_32,U_29)
| ~ greater(age(U_32,U_29),eta) )
& ! [U_28] :
( has_immunity(U_32,U_28)
| ~ smaller_or_equal(age(U_32,U_28),eta) )
& organization(U_32) )
| ~ has_endowment(U_32) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_30,sK1(U_33))],[f_7_3]) ).
fof(f_7_5,plain,
( ! [U_33] :
( has_endowment(U_33)
| ( has_immunity(U_33,sK2(U_33))
& greater(age(U_33,sK2(U_33)),eta) )
| ( ~ has_immunity(U_33,sK1(U_33))
& smaller_or_equal(age(U_33,sK1(U_33)),eta) )
| ~ organization(U_33) )
& ! [U_32] :
( ( ! [U_29] :
( ~ has_immunity(U_32,U_29)
| ~ greater(age(U_32,U_29),eta) )
& ! [U_28] :
( has_immunity(U_32,U_28)
| ~ smaller_or_equal(age(U_32,U_28),eta) )
& organization(U_32) )
| ~ has_endowment(U_32) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_31,sK2(U_33))],[f_7_4]) ).
cnf(f_7_6,plain,
( organization(U_32)
| ~ has_endowment(U_32) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_7,plain,
( has_immunity(U_32,U_28)
| ~ smaller_or_equal(age(U_32,U_28),eta)
| ~ has_endowment(U_32) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_8,plain,
( ~ has_immunity(U_32,U_29)
| ~ greater(age(U_32,U_29),eta)
| ~ has_endowment(U_32) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_9,plain,
( greater(age(U_33,sK2(U_33)),eta)
| smaller_or_equal(age(U_33,sK1(U_33)),eta)
| ~ organization(U_33)
| has_endowment(U_33) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_10,plain,
( has_immunity(U_33,sK2(U_33))
| smaller_or_equal(age(U_33,sK1(U_33)),eta)
| ~ organization(U_33)
| has_endowment(U_33) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_11,plain,
( greater(age(U_33,sK2(U_33)),eta)
| ~ has_immunity(U_33,sK1(U_33))
| ~ organization(U_33)
| has_endowment(U_33) ),
inference(clausify,[status(thm)],[f_7_5]) ).
cnf(f_7_12,plain,
( has_immunity(U_33,sK2(U_33))
| ~ has_immunity(U_33,sK1(U_33))
| ~ organization(U_33)
| has_endowment(U_33) ),
inference(clausify,[status(thm)],[f_7_5]) ).
fof(f_8_1,plain,
! [X,T0,T] :
( hazard_of_mortality(X,T0) = hazard_of_mortality(X,T)
| ~ has_immunity(X,T)
| ~ has_immunity(X,T0)
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_2]) ).
fof(f_8_2,plain,
! [U_36,U_35,U_34] :
( hazard_of_mortality(U_36,U_35) = hazard_of_mortality(U_36,U_34)
| ~ has_immunity(U_36,U_34)
| ~ has_immunity(U_36,U_35)
| ~ organization(U_36) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
cnf(f_8_3,plain,
( hazard_of_mortality(U_36,U_35) = hazard_of_mortality(U_36,U_34)
| ~ has_immunity(U_36,U_34)
| ~ has_immunity(U_36,U_35)
| ~ organization(U_36) ),
inference(clausify,[status(thm)],[f_8_2]) ).
fof(f_9_1,plain,
! [X,T0,T] :
( greater(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| has_immunity(X,T)
| ~ has_immunity(X,T0)
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_3]) ).
fof(f_9_2,plain,
! [U_39,U_38,U_37] :
( greater(hazard_of_mortality(U_39,U_37),hazard_of_mortality(U_39,U_38))
| has_immunity(U_39,U_37)
| ~ has_immunity(U_39,U_38)
| ~ organization(U_39) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
cnf(f_9_3,plain,
( greater(hazard_of_mortality(U_39,U_37),hazard_of_mortality(U_39,U_38))
| has_immunity(U_39,U_37)
| ~ has_immunity(U_39,U_38)
| ~ organization(U_39) ),
inference(clausify,[status(thm)],[f_9_2]) ).
fof(f_10_1,plain,
! [X,T0,T] :
( ( dissimilar(X,T0,T)
| ( ( is_aligned(X,T0)
| ~ is_aligned(X,T) )
& ( is_aligned(X,T)
| ~ is_aligned(X,T0) ) )
| ~ organization(X) )
& ( ( ( ( ~ is_aligned(X,T0)
& is_aligned(X,T) )
| ( ~ is_aligned(X,T)
& is_aligned(X,T0) ) )
& organization(X) )
| ~ dissimilar(X,T0,T) ) ),
inference(fof_nnf,[status(thm)],[definition_2]) ).
fof(f_10_2,plain,
! [U_42,U_41,U_40] :
( ( dissimilar(U_42,U_41,U_40)
| ( ( is_aligned(U_42,U_41)
| ~ is_aligned(U_42,U_40) )
& ( is_aligned(U_42,U_40)
| ~ is_aligned(U_42,U_41) ) )
| ~ organization(U_42) )
& ( ( ( ( ~ is_aligned(U_42,U_41)
& is_aligned(U_42,U_40) )
| ( ~ is_aligned(U_42,U_40)
& is_aligned(U_42,U_41) ) )
& organization(U_42) )
| ~ dissimilar(U_42,U_41,U_40) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_48,U_46,U_44] :
( dissimilar(U_48,U_46,U_44)
| ( ( is_aligned(U_48,U_46)
| ~ is_aligned(U_48,U_44) )
& ( is_aligned(U_48,U_44)
| ~ is_aligned(U_48,U_46) ) )
| ~ organization(U_48) )
& ! [U_47,U_45,U_43] :
( ( ( ( ~ is_aligned(U_47,U_45)
& is_aligned(U_47,U_43) )
| ( ~ is_aligned(U_47,U_43)
& is_aligned(U_47,U_45) ) )
& organization(U_47) )
| ~ dissimilar(U_47,U_45,U_43) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( organization(U_47)
| ~ dissimilar(U_47,U_45,U_43) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_5,plain,
( is_aligned(U_47,U_43)
| is_aligned(U_47,U_45)
| ~ dissimilar(U_47,U_45,U_43) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_6,plain,
( ~ is_aligned(U_47,U_45)
| is_aligned(U_47,U_45)
| ~ dissimilar(U_47,U_45,U_43) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_7,plain,
( is_aligned(U_47,U_43)
| ~ is_aligned(U_47,U_43)
| ~ dissimilar(U_47,U_45,U_43) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_8,plain,
( ~ is_aligned(U_47,U_45)
| ~ is_aligned(U_47,U_43)
| ~ dissimilar(U_47,U_45,U_43) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_9,plain,
( is_aligned(U_48,U_44)
| ~ is_aligned(U_48,U_46)
| ~ organization(U_48)
| dissimilar(U_48,U_46,U_44) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_10,plain,
( is_aligned(U_48,U_46)
| ~ is_aligned(U_48,U_44)
| ~ organization(U_48)
| dissimilar(U_48,U_46,U_44) ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [X,T] :
( is_aligned(X,T)
| age(X,T) != zero
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_13]) ).
fof(f_11_2,plain,
! [U_50,U_49] :
( is_aligned(U_50,U_49)
| age(U_50,U_49) != zero
| ~ organization(U_50) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
cnf(f_11_3,plain,
( is_aligned(U_50,U_49)
| age(U_50,U_49) != zero
| ~ organization(U_50) ),
inference(clausify,[status(thm)],[f_11_2]) ).
fof(f_12_1,plain,
! [X,T0,T] :
( greater(capability(X,T0),capability(X,T))
| is_aligned(X,T)
| ~ is_aligned(X,T0)
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_14]) ).
fof(f_12_2,plain,
! [U_53,U_52,U_51] :
( greater(capability(U_53,U_52),capability(U_53,U_51))
| is_aligned(U_53,U_51)
| ~ is_aligned(U_53,U_52)
| ~ organization(U_53) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
cnf(f_12_3,plain,
( greater(capability(U_53,U_52),capability(U_53,U_51))
| is_aligned(U_53,U_51)
| ~ is_aligned(U_53,U_52)
| ~ organization(U_53) ),
inference(clausify,[status(thm)],[f_12_2]) ).
fof(f_13_1,plain,
! [X,T0,T] :
( ( ( greater(age(X,T),sigma)
| ~ dissimilar(X,T0,T) )
& ( dissimilar(X,T0,T)
| ~ greater(age(X,T),sigma) ) )
| age(X,T0) != zero
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_15]) ).
fof(f_13_2,plain,
! [U_56,U_55,U_54] :
( ( ( greater(age(U_56,U_54),sigma)
| ~ dissimilar(U_56,U_55,U_54) )
& ( dissimilar(U_56,U_55,U_54)
| ~ greater(age(U_56,U_54),sigma) ) )
| age(U_56,U_55) != zero
| ~ organization(U_56) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
! [U_56,U_55] :
( ( ! [U_58] :
( greater(age(U_56,U_58),sigma)
| ~ dissimilar(U_56,U_55,U_58) )
& ! [U_57] :
( dissimilar(U_56,U_55,U_57)
| ~ greater(age(U_56,U_57),sigma) ) )
| age(U_56,U_55) != zero
| ~ organization(U_56) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( dissimilar(U_56,U_55,U_57)
| ~ greater(age(U_56,U_57),sigma)
| age(U_56,U_55) != zero
| ~ organization(U_56) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_5,plain,
( greater(age(U_56,U_58),sigma)
| ~ dissimilar(U_56,U_55,U_58)
| age(U_56,U_55) != zero
| ~ organization(U_56) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [X,T0,T] :
( greater(hazard_of_mortality(X,T0),hazard_of_mortality(X,T))
| ~ greater(capability(X,T),capability(X,T0))
| has_immunity(X,T)
| has_immunity(X,T0)
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_16]) ).
fof(f_14_2,plain,
! [U_61,U_60,U_59] :
( greater(hazard_of_mortality(U_61,U_60),hazard_of_mortality(U_61,U_59))
| ~ greater(capability(U_61,U_59),capability(U_61,U_60))
| has_immunity(U_61,U_59)
| has_immunity(U_61,U_60)
| ~ organization(U_61) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
cnf(f_14_3,plain,
( greater(hazard_of_mortality(U_61,U_60),hazard_of_mortality(U_61,U_59))
| ~ greater(capability(U_61,U_59),capability(U_61,U_60))
| has_immunity(U_61,U_59)
| has_immunity(U_61,U_60)
| ~ organization(U_61) ),
inference(clausify,[status(thm)],[f_14_2]) ).
fof(f_15_1,negated_conjecture,
~ ! [X,T0,T1,T2,T3] :
( ( greater(eta,zero)
& greater(sigma,eta)
& greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& age(X,T0) = zero
& has_endowment(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
& greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) ) ),
inference(negate,[status(cth)],[lemma_8]) ).
fof(f_15_2,negated_conjecture,
? [X,T0,T1,T2,T3] :
( ( hazard_of_mortality(X,T1) != hazard_of_mortality(X,T0)
| ~ greater(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1))
| ~ greater(hazard_of_mortality(X,T3),hazard_of_mortality(X,T2)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(X,T3),sigma)
& smaller_or_equal(age(X,T2),sigma)
& greater(age(X,T2),eta)
& smaller_or_equal(age(X,T1),eta)
& age(X,T0) = zero
& has_endowment(X)
& organization(X) ),
inference(fof_nnf,[status(thm)],[f_15_1]) ).
fof(f_15_3,negated_conjecture,
? [U_66,U_65,U_64,U_63,U_62] :
( ( hazard_of_mortality(U_66,U_64) != hazard_of_mortality(U_66,U_65)
| ~ greater(hazard_of_mortality(U_66,U_63),hazard_of_mortality(U_66,U_64))
| ~ greater(hazard_of_mortality(U_66,U_62),hazard_of_mortality(U_66,U_63)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(U_66,U_62),sigma)
& smaller_or_equal(age(U_66,U_63),sigma)
& greater(age(U_66,U_63),eta)
& smaller_or_equal(age(U_66,U_64),eta)
& age(U_66,U_65) = zero
& has_endowment(U_66)
& organization(U_66) ),
inference(variable_rename,[status(thm)],[f_15_2]) ).
fof(f_15_4,negated_conjecture,
? [U_65,U_64,U_63,U_62] :
( ( hazard_of_mortality(sK3,U_64) != hazard_of_mortality(sK3,U_65)
| ~ greater(hazard_of_mortality(sK3,U_63),hazard_of_mortality(sK3,U_64))
| ~ greater(hazard_of_mortality(sK3,U_62),hazard_of_mortality(sK3,U_63)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(sK3,U_62),sigma)
& smaller_or_equal(age(sK3,U_63),sigma)
& greater(age(sK3,U_63),eta)
& smaller_or_equal(age(sK3,U_64),eta)
& age(sK3,U_65) = zero
& has_endowment(sK3)
& organization(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_66,sK3)],[f_15_3]) ).
fof(f_15_5,negated_conjecture,
? [U_64,U_63,U_62] :
( ( hazard_of_mortality(sK3,U_64) != hazard_of_mortality(sK3,sK4)
| ~ greater(hazard_of_mortality(sK3,U_63),hazard_of_mortality(sK3,U_64))
| ~ greater(hazard_of_mortality(sK3,U_62),hazard_of_mortality(sK3,U_63)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(sK3,U_62),sigma)
& smaller_or_equal(age(sK3,U_63),sigma)
& greater(age(sK3,U_63),eta)
& smaller_or_equal(age(sK3,U_64),eta)
& age(sK3,sK4) = zero
& has_endowment(sK3)
& organization(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_65,sK4)],[f_15_4]) ).
fof(f_15_6,negated_conjecture,
? [U_63,U_62] :
( ( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| ~ greater(hazard_of_mortality(sK3,U_63),hazard_of_mortality(sK3,sK5))
| ~ greater(hazard_of_mortality(sK3,U_62),hazard_of_mortality(sK3,U_63)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(sK3,U_62),sigma)
& smaller_or_equal(age(sK3,U_63),sigma)
& greater(age(sK3,U_63),eta)
& smaller_or_equal(age(sK3,sK5),eta)
& age(sK3,sK4) = zero
& has_endowment(sK3)
& organization(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_64,sK5)],[f_15_5]) ).
fof(f_15_7,negated_conjecture,
? [U_62] :
( ( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| ~ greater(hazard_of_mortality(sK3,sK6),hazard_of_mortality(sK3,sK5))
| ~ greater(hazard_of_mortality(sK3,U_62),hazard_of_mortality(sK3,sK6)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(sK3,U_62),sigma)
& smaller_or_equal(age(sK3,sK6),sigma)
& greater(age(sK3,sK6),eta)
& smaller_or_equal(age(sK3,sK5),eta)
& age(sK3,sK4) = zero
& has_endowment(sK3)
& organization(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_63,sK6)],[f_15_6]) ).
fof(f_15_8,negated_conjecture,
( ( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| ~ greater(hazard_of_mortality(sK3,sK6),hazard_of_mortality(sK3,sK5))
| ~ greater(hazard_of_mortality(sK3,sK7),hazard_of_mortality(sK3,sK6)) )
& greater(eta,zero)
& greater(sigma,eta)
& greater(age(sK3,sK7),sigma)
& smaller_or_equal(age(sK3,sK6),sigma)
& greater(age(sK3,sK6),eta)
& smaller_or_equal(age(sK3,sK5),eta)
& age(sK3,sK4) = zero
& has_endowment(sK3)
& organization(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_62,sK7)],[f_15_7]) ).
cnf(f_15_9,negated_conjecture,
organization(sK3),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_10,negated_conjecture,
has_endowment(sK3),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_11,negated_conjecture,
age(sK3,sK4) = zero,
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_12,negated_conjecture,
smaller_or_equal(age(sK3,sK5),eta),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_13,negated_conjecture,
greater(age(sK3,sK6),eta),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_14,negated_conjecture,
smaller_or_equal(age(sK3,sK6),sigma),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_15,negated_conjecture,
greater(age(sK3,sK7),sigma),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_16,negated_conjecture,
greater(sigma,eta),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_17,negated_conjecture,
greater(eta,zero),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_15_18,negated_conjecture,
( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| ~ greater(hazard_of_mortality(sK3,sK6),hazard_of_mortality(sK3,sK5))
| ~ greater(hazard_of_mortality(sK3,sK7),hazard_of_mortality(sK3,sK6)) ),
inference(clausify,[status(thm)],[f_15_8]) ).
cnf(f_10_6_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_6]) ).
cnf(f_10_7_true,plain,
$true,
inference(clause_is_true,[status(thm)],[f_10_7]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(equality_4,axiom,
( age(Eq_x_0,Eq_x_1) = age(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_5,axiom,
( hazard_of_mortality(Eq_x_0,Eq_x_1) = hazard_of_mortality(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_6,axiom,
( capability(Eq_x_0,Eq_x_1) = capability(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK1(Eq_x_0) = sK1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( sK2(Eq_x_0) = sK2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( smaller_or_equal(Eq_y_0,Eq_y_1)
| ~ smaller_or_equal(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_10,axiom,
( smaller(Eq_y_0,Eq_y_1)
| ~ smaller(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_11,axiom,
( greater_or_equal(Eq_y_0,Eq_y_1)
| ~ greater_or_equal(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_12,axiom,
( greater(Eq_y_0,Eq_y_1)
| ~ greater(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_13,axiom,
( has_endowment(Eq_y_0)
| ~ has_endowment(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_14,axiom,
( organization(Eq_y_0)
| ~ organization(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_15,axiom,
( has_immunity(Eq_y_0,Eq_y_1)
| ~ has_immunity(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_16,axiom,
( dissimilar(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ dissimilar(Eq_x_0,Eq_x_1,Eq_x_2)
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( is_aligned(Eq_y_0,Eq_y_1)
| ~ is_aligned(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT055+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/15.39 % Computer : n013.cluster.edu
% 0.09/15.39 % Model : x86_64 x86_64
% 0.09/15.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/15.39 % Memory : 8046.5625MB
% 0.09/15.39 % OS : Linux 6.8.0-71-generic
% 0.09/15.39 % CPULimit : 300
% 0.09/15.39 % WCLimit : 300
% 0.09/15.39 % DateTime : Sat Sep 19 16:17:15 UTC 2026
% 0.09/15.39 % CPUTime :
% 256.53/271.81 % SZS status Theorem for theBenchmark
% 256.53/271.81 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------