%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT042+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 : n026.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 08:50:42 AM UTC 2026
% Result : Theorem 60.25s 60.56s
% Output : Proof 61.13s
% 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(assumption_4,axiom,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> ( ( ( position(X,T) = position(X,T0)
& capability(X,T) = capability(X,T0) )
=> hazard_of_mortality(X,T) = hazard_of_mortality(X,T0) )
& ( ( greater(position(X,T),position(X,T0))
& greater_or_equal(capability(X,T),capability(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( greater_or_equal(position(X,T),position(X,T0))
& greater(capability(X,T),capability(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ),
file('theBenchmark.p',assumption_4) ).
fof(assumption_5,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( ( internal_friction(X,T) = internal_friction(X,T0)
& stock_of_knowledge(X,T) = stock_of_knowledge(X,T0) )
=> capability(X,T) = capability(X,T0) )
& ( ( greater(internal_friction(X,T),internal_friction(X,T0))
& smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(capability(X,T),capability(X,T0)) )
& ( ( smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> greater(capability(X,T),capability(X,T0)) ) ) ),
file('theBenchmark.p',assumption_5) ).
fof(assumption_6,axiom,
! [X,T0,T] :
( organization(X)
=> ( ( external_ties(X,T) = external_ties(X,T0)
=> position(X,T) = position(X,T0) )
& ( greater(external_ties(X,T),external_ties(X,T0))
=> greater(position(X,T),position(X,T0)) ) ) ),
file('theBenchmark.p',assumption_6) ).
fof(lemma_1,conjecture,
! [X,T0,T] :
( ( ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> ( ( ( greater(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( greater_or_equal(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ),
file('theBenchmark.p',lemma_1) ).
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]) ).
fof(f_1_4,plain,
( ! [U_5,U_3] :
( U_5 != U_3
| ~ sP0(U_5,U_3) )
& ! [U_5,U_3] :
( ~ smaller(U_5,U_3)
| ~ sP0(U_5,U_3) )
& ! [U_5,U_3] :
( smaller_or_equal(U_5,U_3)
| sP0(U_5,U_3) )
& ! [U_2,U_4] :
( U_4 = U_2
| smaller(U_4,U_2)
| ~ smaller_or_equal(U_4,U_2) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0])],[f_1_3]) ).
cnf(f_1_5,plain,
( U_4 = U_2
| smaller(U_4,U_2)
| ~ smaller_or_equal(U_4,U_2) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_6,plain,
( smaller_or_equal(U_5,U_3)
| sP0(U_5,U_3) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_7,plain,
( ~ smaller(U_5,U_3)
| ~ sP0(U_5,U_3) ),
inference(clausify,[status(thm)],[f_1_4]) ).
cnf(f_1_8,plain,
( U_5 != U_3
| ~ sP0(U_5,U_3) ),
inference(clausify,[status(thm)],[f_1_4]) ).
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]) ).
fof(f_2_4,plain,
( ! [U_11,U_9] :
( U_11 != U_9
| ~ sP1(U_11,U_9) )
& ! [U_11,U_9] :
( ~ greater(U_11,U_9)
| ~ sP1(U_11,U_9) )
& ! [U_11,U_9] :
( greater_or_equal(U_11,U_9)
| sP1(U_11,U_9) )
& ! [U_8,U_10] :
( U_10 = U_8
| greater(U_10,U_8)
| ~ greater_or_equal(U_10,U_8) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP1])],[f_2_3]) ).
cnf(f_2_5,plain,
( U_10 = U_8
| greater(U_10,U_8)
| ~ greater_or_equal(U_10,U_8) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_6,plain,
( greater_or_equal(U_11,U_9)
| sP1(U_11,U_9) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_7,plain,
( ~ greater(U_11,U_9)
| ~ sP1(U_11,U_9) ),
inference(clausify,[status(thm)],[f_2_4]) ).
cnf(f_2_8,plain,
( U_11 != U_9
| ~ sP1(U_11,U_9) ),
inference(clausify,[status(thm)],[f_2_4]) ).
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]) ).
fof(f_3_4,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(definitional_conversion,[status(esa)],[f_3_3]) ).
cnf(f_3_5,plain,
( greater(U_14,U_16)
| ~ smaller(U_16,U_14) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_6,plain,
( smaller(U_17,U_15)
| ~ greater(U_15,U_17) ),
inference(clausify,[status(thm)],[f_3_4]) ).
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]) ).
fof(f_4_3,plain,
! [U_18,U_19] :
( ~ greater(U_18,U_19)
| ~ greater(U_19,U_18) ),
inference(definitional_conversion,[status(esa)],[f_4_2]) ).
cnf(f_4_4,plain,
( ~ greater(U_18,U_19)
| ~ greater(U_19,U_18) ),
inference(clausify,[status(thm)],[f_4_3]) ).
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]) ).
fof(f_5_3,plain,
! [U_22,U_20,U_21] :
( greater(U_22,U_20)
| ~ greater(U_21,U_20)
| ~ greater(U_22,U_21) ),
inference(definitional_conversion,[status(esa)],[f_5_2]) ).
cnf(f_5_4,plain,
( greater(U_22,U_20)
| ~ greater(U_21,U_20)
| ~ greater(U_22,U_21) ),
inference(clausify,[status(thm)],[f_5_3]) ).
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]) ).
fof(f_6_3,plain,
! [U_24,U_23] :
( greater(U_24,U_23)
| U_24 = U_23
| smaller(U_24,U_23) ),
inference(definitional_conversion,[status(esa)],[f_6_2]) ).
cnf(f_6_4,plain,
( greater(U_24,U_23)
| U_24 = U_23
| smaller(U_24,U_23) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [X,T0,T] :
( ( ( hazard_of_mortality(X,T) = hazard_of_mortality(X,T0)
| position(X,T) != position(X,T0)
| capability(X,T) != capability(X,T0) )
& ( smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| ~ greater(position(X,T),position(X,T0))
| ~ greater_or_equal(capability(X,T),capability(X,T0)) )
& ( smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
| ~ greater_or_equal(position(X,T),position(X,T0))
| ~ greater(capability(X,T),capability(X,T0)) ) )
| has_immunity(X,T)
| has_immunity(X,T0)
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_4]) ).
fof(f_7_2,plain,
! [U_27,U_26,U_25] :
( ( ( hazard_of_mortality(U_27,U_25) = hazard_of_mortality(U_27,U_26)
| position(U_27,U_25) != position(U_27,U_26)
| capability(U_27,U_25) != capability(U_27,U_26) )
& ( smaller(hazard_of_mortality(U_27,U_25),hazard_of_mortality(U_27,U_26))
| ~ greater(position(U_27,U_25),position(U_27,U_26))
| ~ greater_or_equal(capability(U_27,U_25),capability(U_27,U_26)) )
& ( smaller(hazard_of_mortality(U_27,U_25),hazard_of_mortality(U_27,U_26))
| ~ greater_or_equal(position(U_27,U_25),position(U_27,U_26))
| ~ greater(capability(U_27,U_25),capability(U_27,U_26)) ) )
| has_immunity(U_27,U_25)
| has_immunity(U_27,U_26)
| ~ organization(U_27) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_26,U_25,U_27] :
( hazard_of_mortality(U_27,U_25) = hazard_of_mortality(U_27,U_26)
| position(U_27,U_25) != position(U_27,U_26)
| capability(U_27,U_25) != capability(U_27,U_26)
| ~ sP2(U_26,U_25,U_27) )
& ! [U_26,U_25,U_27] :
( smaller(hazard_of_mortality(U_27,U_25),hazard_of_mortality(U_27,U_26))
| ~ greater(position(U_27,U_25),position(U_27,U_26))
| ~ greater_or_equal(capability(U_27,U_25),capability(U_27,U_26))
| ~ sP2(U_26,U_25,U_27) )
& ! [U_26,U_25,U_27] :
( smaller(hazard_of_mortality(U_27,U_25),hazard_of_mortality(U_27,U_26))
| ~ greater_or_equal(position(U_27,U_25),position(U_27,U_26))
| ~ greater(capability(U_27,U_25),capability(U_27,U_26))
| ~ sP2(U_26,U_25,U_27) )
& ! [U_26,U_25,U_27] :
( sP2(U_26,U_25,U_27)
| has_immunity(U_27,U_25)
| has_immunity(U_27,U_26)
| ~ organization(U_27) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_7_2]) ).
cnf(f_7_4,plain,
( sP2(U_26,U_25,U_27)
| has_immunity(U_27,U_25)
| has_immunity(U_27,U_26)
| ~ organization(U_27) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_5,plain,
( smaller(hazard_of_mortality(U_27,U_25),hazard_of_mortality(U_27,U_26))
| ~ greater_or_equal(position(U_27,U_25),position(U_27,U_26))
| ~ greater(capability(U_27,U_25),capability(U_27,U_26))
| ~ sP2(U_26,U_25,U_27) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_6,plain,
( smaller(hazard_of_mortality(U_27,U_25),hazard_of_mortality(U_27,U_26))
| ~ greater(position(U_27,U_25),position(U_27,U_26))
| ~ greater_or_equal(capability(U_27,U_25),capability(U_27,U_26))
| ~ sP2(U_26,U_25,U_27) ),
inference(clausify,[status(thm)],[f_7_3]) ).
cnf(f_7_7,plain,
( hazard_of_mortality(U_27,U_25) = hazard_of_mortality(U_27,U_26)
| position(U_27,U_25) != position(U_27,U_26)
| capability(U_27,U_25) != capability(U_27,U_26)
| ~ sP2(U_26,U_25,U_27) ),
inference(clausify,[status(thm)],[f_7_3]) ).
fof(f_8_1,plain,
! [X,T0,T] :
( ( ( capability(X,T) = capability(X,T0)
| internal_friction(X,T) != internal_friction(X,T0)
| stock_of_knowledge(X,T) != stock_of_knowledge(X,T0) )
& ( smaller(capability(X,T),capability(X,T0))
| ~ greater(internal_friction(X,T),internal_friction(X,T0))
| ~ smaller_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
& ( greater(capability(X,T),capability(X,T0))
| ~ smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
| ~ greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ) )
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_5]) ).
fof(f_8_2,plain,
! [U_30,U_29,U_28] :
( ( ( capability(U_30,U_28) = capability(U_30,U_29)
| internal_friction(U_30,U_28) != internal_friction(U_30,U_29)
| stock_of_knowledge(U_30,U_28) != stock_of_knowledge(U_30,U_29) )
& ( smaller(capability(U_30,U_28),capability(U_30,U_29))
| ~ greater(internal_friction(U_30,U_28),internal_friction(U_30,U_29))
| ~ smaller_or_equal(stock_of_knowledge(U_30,U_28),stock_of_knowledge(U_30,U_29)) )
& ( greater(capability(U_30,U_28),capability(U_30,U_29))
| ~ smaller_or_equal(internal_friction(U_30,U_28),internal_friction(U_30,U_29))
| ~ greater(stock_of_knowledge(U_30,U_28),stock_of_knowledge(U_30,U_29)) ) )
| ~ organization(U_30) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
! [U_30] :
( ( ! [U_36,U_33] :
( capability(U_30,U_33) = capability(U_30,U_36)
| internal_friction(U_30,U_33) != internal_friction(U_30,U_36)
| stock_of_knowledge(U_30,U_33) != stock_of_knowledge(U_30,U_36) )
& ! [U_35,U_32] :
( smaller(capability(U_30,U_32),capability(U_30,U_35))
| ~ greater(internal_friction(U_30,U_32),internal_friction(U_30,U_35))
| ~ smaller_or_equal(stock_of_knowledge(U_30,U_32),stock_of_knowledge(U_30,U_35)) )
& ! [U_34,U_31] :
( greater(capability(U_30,U_31),capability(U_30,U_34))
| ~ smaller_or_equal(internal_friction(U_30,U_31),internal_friction(U_30,U_34))
| ~ greater(stock_of_knowledge(U_30,U_31),stock_of_knowledge(U_30,U_34)) ) )
| ~ organization(U_30) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_30,U_31,U_34,U_35,U_32,U_33,U_36] :
( capability(U_30,U_33) = capability(U_30,U_36)
| internal_friction(U_30,U_33) != internal_friction(U_30,U_36)
| stock_of_knowledge(U_30,U_33) != stock_of_knowledge(U_30,U_36)
| ~ sP3(U_30,U_31,U_34,U_35,U_32,U_33,U_36) )
& ! [U_30,U_31,U_34,U_35,U_32,U_33,U_36] :
( smaller(capability(U_30,U_32),capability(U_30,U_35))
| ~ greater(internal_friction(U_30,U_32),internal_friction(U_30,U_35))
| ~ smaller_or_equal(stock_of_knowledge(U_30,U_32),stock_of_knowledge(U_30,U_35))
| ~ sP3(U_30,U_31,U_34,U_35,U_32,U_33,U_36) )
& ! [U_30,U_31,U_34,U_35,U_32,U_33,U_36] :
( greater(capability(U_30,U_31),capability(U_30,U_34))
| ~ smaller_or_equal(internal_friction(U_30,U_31),internal_friction(U_30,U_34))
| ~ greater(stock_of_knowledge(U_30,U_31),stock_of_knowledge(U_30,U_34))
| ~ sP3(U_30,U_31,U_34,U_35,U_32,U_33,U_36) )
& ! [U_30,U_31,U_34,U_35,U_32,U_33,U_36] :
( sP3(U_30,U_31,U_34,U_35,U_32,U_33,U_36)
| ~ organization(U_30) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP3])],[f_8_3]) ).
cnf(f_8_5,plain,
( sP3(U_30,U_31,U_34,U_35,U_32,U_33,U_36)
| ~ organization(U_30) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_6,plain,
( greater(capability(U_30,U_31),capability(U_30,U_34))
| ~ smaller_or_equal(internal_friction(U_30,U_31),internal_friction(U_30,U_34))
| ~ greater(stock_of_knowledge(U_30,U_31),stock_of_knowledge(U_30,U_34))
| ~ sP3(U_30,U_31,U_34,U_35,U_32,U_33,U_36) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_7,plain,
( smaller(capability(U_30,U_32),capability(U_30,U_35))
| ~ greater(internal_friction(U_30,U_32),internal_friction(U_30,U_35))
| ~ smaller_or_equal(stock_of_knowledge(U_30,U_32),stock_of_knowledge(U_30,U_35))
| ~ sP3(U_30,U_31,U_34,U_35,U_32,U_33,U_36) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_8,plain,
( capability(U_30,U_33) = capability(U_30,U_36)
| internal_friction(U_30,U_33) != internal_friction(U_30,U_36)
| stock_of_knowledge(U_30,U_33) != stock_of_knowledge(U_30,U_36)
| ~ sP3(U_30,U_31,U_34,U_35,U_32,U_33,U_36) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [X,T0,T] :
( ( ( position(X,T) = position(X,T0)
| external_ties(X,T) != external_ties(X,T0) )
& ( greater(position(X,T),position(X,T0))
| ~ greater(external_ties(X,T),external_ties(X,T0)) ) )
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_6]) ).
fof(f_9_2,plain,
! [U_39,U_38,U_37] :
( ( ( position(U_39,U_37) = position(U_39,U_38)
| external_ties(U_39,U_37) != external_ties(U_39,U_38) )
& ( greater(position(U_39,U_37),position(U_39,U_38))
| ~ greater(external_ties(U_39,U_37),external_ties(U_39,U_38)) ) )
| ~ organization(U_39) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_39] :
( ( ! [U_43,U_41] :
( position(U_39,U_41) = position(U_39,U_43)
| external_ties(U_39,U_41) != external_ties(U_39,U_43) )
& ! [U_42,U_40] :
( greater(position(U_39,U_40),position(U_39,U_42))
| ~ greater(external_ties(U_39,U_40),external_ties(U_39,U_42)) ) )
| ~ organization(U_39) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_40,U_43,U_41,U_42,U_39] :
( position(U_39,U_41) = position(U_39,U_43)
| external_ties(U_39,U_41) != external_ties(U_39,U_43)
| ~ sP4(U_40,U_43,U_41,U_42,U_39) )
& ! [U_40,U_43,U_41,U_42,U_39] :
( greater(position(U_39,U_40),position(U_39,U_42))
| ~ greater(external_ties(U_39,U_40),external_ties(U_39,U_42))
| ~ sP4(U_40,U_43,U_41,U_42,U_39) )
& ! [U_40,U_43,U_41,U_42,U_39] :
( sP4(U_40,U_43,U_41,U_42,U_39)
| ~ organization(U_39) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP4])],[f_9_3]) ).
cnf(f_9_5,plain,
( sP4(U_40,U_43,U_41,U_42,U_39)
| ~ organization(U_39) ),
inference(clausify,[status(thm)],[f_9_4]) ).
cnf(f_9_6,plain,
( greater(position(U_39,U_40),position(U_39,U_42))
| ~ greater(external_ties(U_39,U_40),external_ties(U_39,U_42))
| ~ sP4(U_40,U_43,U_41,U_42,U_39) ),
inference(clausify,[status(thm)],[f_9_4]) ).
cnf(f_9_7,plain,
( position(U_39,U_41) = position(U_39,U_43)
| external_ties(U_39,U_41) != external_ties(U_39,U_43)
| ~ sP4(U_40,U_43,U_41,U_42,U_39) ),
inference(clausify,[status(thm)],[f_9_4]) ).
fof(f_10_1,negated_conjecture,
~ ! [X,T0,T] :
( ( ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) )
=> ( ( ( greater(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) )
& ( ( greater_or_equal(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
=> smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0)) ) ) ),
inference(negate,[status(cth)],[lemma_1]) ).
fof(f_10_2,negated_conjecture,
? [X,T0,T] :
( ( ( ~ smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& greater(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater_or_equal(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) )
| ( ~ smaller(hazard_of_mortality(X,T),hazard_of_mortality(X,T0))
& greater_or_equal(external_ties(X,T),external_ties(X,T0))
& smaller_or_equal(internal_friction(X,T),internal_friction(X,T0))
& greater(stock_of_knowledge(X,T),stock_of_knowledge(X,T0)) ) )
& ~ has_immunity(X,T)
& ~ has_immunity(X,T0)
& organization(X) ),
inference(fof_nnf,[status(thm)],[f_10_1]) ).
fof(f_10_3,negated_conjecture,
? [U_46,U_45,U_44] :
( ( ( ~ smaller(hazard_of_mortality(U_46,U_44),hazard_of_mortality(U_46,U_45))
& greater(external_ties(U_46,U_44),external_ties(U_46,U_45))
& smaller_or_equal(internal_friction(U_46,U_44),internal_friction(U_46,U_45))
& greater_or_equal(stock_of_knowledge(U_46,U_44),stock_of_knowledge(U_46,U_45)) )
| ( ~ smaller(hazard_of_mortality(U_46,U_44),hazard_of_mortality(U_46,U_45))
& greater_or_equal(external_ties(U_46,U_44),external_ties(U_46,U_45))
& smaller_or_equal(internal_friction(U_46,U_44),internal_friction(U_46,U_45))
& greater(stock_of_knowledge(U_46,U_44),stock_of_knowledge(U_46,U_45)) ) )
& ~ has_immunity(U_46,U_44)
& ~ has_immunity(U_46,U_45)
& organization(U_46) ),
inference(variable_rename,[status(thm)],[f_10_2]) ).
fof(f_10_4,negated_conjecture,
? [U_45,U_44] :
( ( ( ~ smaller(hazard_of_mortality(sK1,U_44),hazard_of_mortality(sK1,U_45))
& greater(external_ties(sK1,U_44),external_ties(sK1,U_45))
& smaller_or_equal(internal_friction(sK1,U_44),internal_friction(sK1,U_45))
& greater_or_equal(stock_of_knowledge(sK1,U_44),stock_of_knowledge(sK1,U_45)) )
| ( ~ smaller(hazard_of_mortality(sK1,U_44),hazard_of_mortality(sK1,U_45))
& greater_or_equal(external_ties(sK1,U_44),external_ties(sK1,U_45))
& smaller_or_equal(internal_friction(sK1,U_44),internal_friction(sK1,U_45))
& greater(stock_of_knowledge(sK1,U_44),stock_of_knowledge(sK1,U_45)) ) )
& ~ has_immunity(sK1,U_44)
& ~ has_immunity(sK1,U_45)
& organization(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_46,sK1)],[f_10_3]) ).
fof(f_10_5,negated_conjecture,
? [U_44] :
( ( ( ~ smaller(hazard_of_mortality(sK1,U_44),hazard_of_mortality(sK1,sK2))
& greater(external_ties(sK1,U_44),external_ties(sK1,sK2))
& smaller_or_equal(internal_friction(sK1,U_44),internal_friction(sK1,sK2))
& greater_or_equal(stock_of_knowledge(sK1,U_44),stock_of_knowledge(sK1,sK2)) )
| ( ~ smaller(hazard_of_mortality(sK1,U_44),hazard_of_mortality(sK1,sK2))
& greater_or_equal(external_ties(sK1,U_44),external_ties(sK1,sK2))
& smaller_or_equal(internal_friction(sK1,U_44),internal_friction(sK1,sK2))
& greater(stock_of_knowledge(sK1,U_44),stock_of_knowledge(sK1,sK2)) ) )
& ~ has_immunity(sK1,U_44)
& ~ has_immunity(sK1,sK2)
& organization(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_45,sK2)],[f_10_4]) ).
fof(f_10_6,negated_conjecture,
( ( ( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
& greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
& smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
& greater_or_equal(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) )
| ( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
& greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2))
& smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
& greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2)) ) )
& ~ has_immunity(sK1,sK3)
& ~ has_immunity(sK1,sK2)
& organization(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_44,sK3)],[f_10_5]) ).
fof(f_10_7,negated_conjecture,
( ( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ~ sP6 )
& ( greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| ~ sP6 )
& ( smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| ~ sP6 )
& ( greater_or_equal(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ~ sP6 )
& ( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ~ sP5 )
& ( greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2))
| ~ sP5 )
& ( smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| ~ sP5 )
& ( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ~ sP5 )
& ( sP6
| sP5 )
& ~ has_immunity(sK1,sK3)
& ~ has_immunity(sK1,sK2)
& organization(sK1) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP5,sP6])],[f_10_6]) ).
cnf(f_10_8,negated_conjecture,
organization(sK1),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_9,negated_conjecture,
~ has_immunity(sK1,sK2),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_10,negated_conjecture,
~ has_immunity(sK1,sK3),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_11,negated_conjecture,
( sP6
| sP5 ),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_12,negated_conjecture,
( greater(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ~ sP5 ),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_13,negated_conjecture,
( smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| ~ sP5 ),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_14,negated_conjecture,
( greater_or_equal(external_ties(sK1,sK3),external_ties(sK1,sK2))
| ~ sP5 ),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_15,negated_conjecture,
( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ~ sP5 ),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_16,negated_conjecture,
( greater_or_equal(stock_of_knowledge(sK1,sK3),stock_of_knowledge(sK1,sK2))
| ~ sP6 ),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_17,negated_conjecture,
( smaller_or_equal(internal_friction(sK1,sK3),internal_friction(sK1,sK2))
| ~ sP6 ),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_18,negated_conjecture,
( greater(external_ties(sK1,sK3),external_ties(sK1,sK2))
| ~ sP6 ),
inference(clausify,[status(thm)],[f_10_7]) ).
cnf(f_10_19,negated_conjecture,
( ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| ~ sP6 ),
inference(clausify,[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,
( 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_5,axiom,
( position(Eq_x_0,Eq_x_1) = position(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,
( 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_7,axiom,
( stock_of_knowledge(Eq_x_0,Eq_x_1) = stock_of_knowledge(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,axiom,
( internal_friction(Eq_x_0,Eq_x_1) = internal_friction(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_9,axiom,
( external_ties(Eq_x_0,Eq_x_1) = external_ties(Eq_y_0,Eq_y_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_10,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_11,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_12,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_13,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_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,
( sP0(Eq_y_0,Eq_y_1)
| ~ sP0(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_17,axiom,
( sP1(Eq_y_0,Eq_y_1)
| ~ sP1(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( sP2(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP2(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_19,axiom,
( sP3(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4,Eq_y_5,Eq_y_6)
| ~ sP3(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4,Eq_x_5,Eq_x_6)
| Eq_x_6 != Eq_y_6
| Eq_x_5 != Eq_y_5
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_20,axiom,
( sP4(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3,Eq_y_4)
| ~ sP4(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3,Eq_x_4)
| Eq_x_4 != Eq_y_4
| Eq_x_3 != Eq_y_3
| Eq_x_2 != Eq_y_2
| 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 : MGT042+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
% 0.08/0.36 % Computer : n026.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
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sat Sep 19 16:18:05 UTC 2026
% 0.08/0.37 % CPUTime :
% 60.25/60.56 % SZS status Theorem for theBenchmark
% 60.25/60.56 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------