%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : MGT062+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 : n014.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 08:50:47 AM UTC 2026
% Result : Theorem 240.05s 240.40s
% Output : Proof 241.56s
% 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_1,axiom,
! [X,T] :
( ( ~ has_endowment(X)
& organization(X) )
=> ~ has_immunity(X,T) ),
file('theBenchmark.p',assumption_1) ).
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_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(definition_4,axiom,
! [X] :
( robust_position(X)
<=> ! [T] :
( ( greater(age(X,T),tau)
=> positional_advantage(X,T) )
& ( smaller_or_equal(age(X,T),tau)
=> ~ positional_advantage(X,T) ) ) ),
file('theBenchmark.p',definition_4) ).
fof(assumption_17,axiom,
! [X,T] :
( organization(X)
=> ( ( ~ has_immunity(X,T)
=> ( ( ( ~ positional_advantage(X,T)
& ~ is_aligned(X,T) )
=> hazard_of_mortality(X,T) = high )
& ( ( ~ positional_advantage(X,T)
& is_aligned(X,T) )
=> hazard_of_mortality(X,T) = mod2 )
& ( ( positional_advantage(X,T)
& ~ is_aligned(X,T) )
=> hazard_of_mortality(X,T) = mod1 )
& ( ( positional_advantage(X,T)
& is_aligned(X,T) )
=> hazard_of_mortality(X,T) = low ) ) )
& ( has_immunity(X,T)
=> hazard_of_mortality(X,T) = very_low ) ) ),
file('theBenchmark.p',assumption_17) ).
fof(assumption_19,axiom,
greater(mod2,mod1),
file('theBenchmark.p',assumption_19) ).
fof(theorem_8,conjecture,
! [X,T0,T1,T2] :
( ( greater(age(X,T2),sigma)
& smaller_or_equal(age(X,T1),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(X,T0) = zero
& ~ has_endowment(X)
& robust_position(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) ) ),
file('theBenchmark.p',theorem_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]) ).
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_4,U_2] :
( 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_23,U_24] :
( 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,T] :
( ~ has_immunity(X,T)
| has_endowment(X)
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_1]) ).
fof(f_7_2,plain,
! [U_26,U_25] :
( ~ has_immunity(U_26,U_25)
| has_endowment(U_26)
| ~ organization(U_26) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
! [U_26] :
( ! [U_25] : ~ has_immunity(U_26,U_25)
| has_endowment(U_26)
| ~ organization(U_26) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
! [U_26,U_25] :
( ~ has_immunity(U_26,U_25)
| has_endowment(U_26)
| ~ organization(U_26) ),
inference(definitional_conversion,[status(esa)],[f_7_3]) ).
cnf(f_7_5,plain,
( ~ has_immunity(U_26,U_25)
| has_endowment(U_26)
| ~ organization(U_26) ),
inference(clausify,[status(thm)],[f_7_4]) ).
fof(f_8_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_8_2,plain,
! [U_29,U_28,U_27] :
( ( dissimilar(U_29,U_28,U_27)
| ( ( is_aligned(U_29,U_28)
| ~ is_aligned(U_29,U_27) )
& ( is_aligned(U_29,U_27)
| ~ is_aligned(U_29,U_28) ) )
| ~ organization(U_29) )
& ( ( ( ( ~ is_aligned(U_29,U_28)
& is_aligned(U_29,U_27) )
| ( ~ is_aligned(U_29,U_27)
& is_aligned(U_29,U_28) ) )
& organization(U_29) )
| ~ dissimilar(U_29,U_28,U_27) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_35,U_33,U_31] :
( dissimilar(U_35,U_33,U_31)
| ( ( is_aligned(U_35,U_33)
| ~ is_aligned(U_35,U_31) )
& ( is_aligned(U_35,U_31)
| ~ is_aligned(U_35,U_33) ) )
| ~ organization(U_35) )
& ! [U_34,U_32,U_30] :
( ( ( ( ~ is_aligned(U_34,U_32)
& is_aligned(U_34,U_30) )
| ( ~ is_aligned(U_34,U_30)
& is_aligned(U_34,U_32) ) )
& organization(U_34) )
| ~ dissimilar(U_34,U_32,U_30) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_33,U_31,U_35] :
( is_aligned(U_35,U_33)
| ~ is_aligned(U_35,U_31)
| ~ sP5(U_33,U_31,U_35) )
& ! [U_33,U_31,U_35] :
( is_aligned(U_35,U_31)
| ~ is_aligned(U_35,U_33)
| ~ sP5(U_33,U_31,U_35) )
& ! [U_34,U_32,U_30] :
( ~ is_aligned(U_34,U_32)
| ~ sP3(U_34,U_32,U_30) )
& ! [U_34,U_32,U_30] :
( is_aligned(U_34,U_30)
| ~ sP3(U_34,U_32,U_30) )
& ! [U_34,U_32,U_30] :
( ~ is_aligned(U_34,U_30)
| ~ sP2(U_34,U_32,U_30) )
& ! [U_34,U_32,U_30] :
( is_aligned(U_34,U_32)
| ~ sP2(U_34,U_32,U_30) )
& ! [U_34,U_32,U_30] :
( sP3(U_34,U_32,U_30)
| sP2(U_34,U_32,U_30)
| ~ sP4(U_34,U_32,U_30) )
& ! [U_34,U_32,U_30] :
( organization(U_34)
| ~ sP4(U_34,U_32,U_30) )
& ! [U_33,U_31,U_35] :
( dissimilar(U_35,U_33,U_31)
| sP5(U_33,U_31,U_35)
| ~ organization(U_35) )
& ! [U_34,U_32,U_30] :
( sP4(U_34,U_32,U_30)
| ~ dissimilar(U_34,U_32,U_30) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2,sP3,sP4,sP5])],[f_8_3]) ).
cnf(f_8_5,plain,
( sP4(U_34,U_32,U_30)
| ~ dissimilar(U_34,U_32,U_30) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_6,plain,
( dissimilar(U_35,U_33,U_31)
| sP5(U_33,U_31,U_35)
| ~ organization(U_35) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_7,plain,
( organization(U_34)
| ~ sP4(U_34,U_32,U_30) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_8,plain,
( sP3(U_34,U_32,U_30)
| sP2(U_34,U_32,U_30)
| ~ sP4(U_34,U_32,U_30) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_9,plain,
( is_aligned(U_34,U_32)
| ~ sP2(U_34,U_32,U_30) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_10,plain,
( ~ is_aligned(U_34,U_30)
| ~ sP2(U_34,U_32,U_30) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_11,plain,
( is_aligned(U_34,U_30)
| ~ sP3(U_34,U_32,U_30) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_12,plain,
( ~ is_aligned(U_34,U_32)
| ~ sP3(U_34,U_32,U_30) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_13,plain,
( is_aligned(U_35,U_31)
| ~ is_aligned(U_35,U_33)
| ~ sP5(U_33,U_31,U_35) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_14,plain,
( is_aligned(U_35,U_33)
| ~ is_aligned(U_35,U_31)
| ~ sP5(U_33,U_31,U_35) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [X,T] :
( is_aligned(X,T)
| age(X,T) != zero
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_13]) ).
fof(f_9_2,plain,
! [U_37,U_36] :
( is_aligned(U_37,U_36)
| age(U_37,U_36) != zero
| ~ organization(U_37) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
! [U_37,U_36] :
( is_aligned(U_37,U_36)
| age(U_37,U_36) != zero
| ~ organization(U_37) ),
inference(definitional_conversion,[status(esa)],[f_9_2]) ).
cnf(f_9_4,plain,
( is_aligned(U_37,U_36)
| age(U_37,U_36) != zero
| ~ organization(U_37) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_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_10_2,plain,
! [U_40,U_39,U_38] :
( ( ( greater(age(U_40,U_38),sigma)
| ~ dissimilar(U_40,U_39,U_38) )
& ( dissimilar(U_40,U_39,U_38)
| ~ greater(age(U_40,U_38),sigma) ) )
| age(U_40,U_39) != zero
| ~ organization(U_40) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
! [U_40,U_39] :
( ( ! [U_42] :
( greater(age(U_40,U_42),sigma)
| ~ dissimilar(U_40,U_39,U_42) )
& ! [U_41] :
( dissimilar(U_40,U_39,U_41)
| ~ greater(age(U_40,U_41),sigma) ) )
| age(U_40,U_39) != zero
| ~ organization(U_40) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
( ! [U_39,U_41,U_42,U_40] :
( greater(age(U_40,U_42),sigma)
| ~ dissimilar(U_40,U_39,U_42)
| ~ sP6(U_39,U_41,U_42,U_40) )
& ! [U_39,U_41,U_42,U_40] :
( dissimilar(U_40,U_39,U_41)
| ~ greater(age(U_40,U_41),sigma)
| ~ sP6(U_39,U_41,U_42,U_40) )
& ! [U_39,U_41,U_42,U_40] :
( sP6(U_39,U_41,U_42,U_40)
| age(U_40,U_39) != zero
| ~ organization(U_40) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP6])],[f_10_3]) ).
cnf(f_10_5,plain,
( sP6(U_39,U_41,U_42,U_40)
| age(U_40,U_39) != zero
| ~ organization(U_40) ),
inference(clausify,[status(thm)],[f_10_4]) ).
cnf(f_10_6,plain,
( dissimilar(U_40,U_39,U_41)
| ~ greater(age(U_40,U_41),sigma)
| ~ sP6(U_39,U_41,U_42,U_40) ),
inference(clausify,[status(thm)],[f_10_4]) ).
cnf(f_10_7,plain,
( greater(age(U_40,U_42),sigma)
| ~ dissimilar(U_40,U_39,U_42)
| ~ sP6(U_39,U_41,U_42,U_40) ),
inference(clausify,[status(thm)],[f_10_4]) ).
fof(f_11_1,plain,
! [X] :
( ( robust_position(X)
| ? [T] :
( ( ~ positional_advantage(X,T)
& greater(age(X,T),tau) )
| ( positional_advantage(X,T)
& smaller_or_equal(age(X,T),tau) ) ) )
& ( ! [T] :
( ( positional_advantage(X,T)
| ~ greater(age(X,T),tau) )
& ( ~ positional_advantage(X,T)
| ~ smaller_or_equal(age(X,T),tau) ) )
| ~ robust_position(X) ) ),
inference(fof_nnf,[status(thm)],[definition_4]) ).
fof(f_11_2,plain,
! [U_45] :
( ( robust_position(U_45)
| ? [U_44] :
( ( ~ positional_advantage(U_45,U_44)
& greater(age(U_45,U_44),tau) )
| ( positional_advantage(U_45,U_44)
& smaller_or_equal(age(U_45,U_44),tau) ) ) )
& ( ! [U_43] :
( ( positional_advantage(U_45,U_43)
| ~ greater(age(U_45,U_43),tau) )
& ( ~ positional_advantage(U_45,U_43)
| ~ smaller_or_equal(age(U_45,U_43),tau) ) )
| ~ robust_position(U_45) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_51] :
( robust_position(U_51)
| ? [U_49] :
( ~ positional_advantage(U_51,U_49)
& greater(age(U_51,U_49),tau) )
| ? [U_48] :
( positional_advantage(U_51,U_48)
& smaller_or_equal(age(U_51,U_48),tau) ) )
& ! [U_50] :
( ( ! [U_47] :
( positional_advantage(U_50,U_47)
| ~ greater(age(U_50,U_47),tau) )
& ! [U_46] :
( ~ positional_advantage(U_50,U_46)
| ~ smaller_or_equal(age(U_50,U_46),tau) ) )
| ~ robust_position(U_50) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
( ! [U_51] :
( robust_position(U_51)
| ? [U_49] :
( ~ positional_advantage(U_51,U_49)
& greater(age(U_51,U_49),tau) )
| ( positional_advantage(U_51,sK1(U_51))
& smaller_or_equal(age(U_51,sK1(U_51)),tau) ) )
& ! [U_50] :
( ( ! [U_47] :
( positional_advantage(U_50,U_47)
| ~ greater(age(U_50,U_47),tau) )
& ! [U_46] :
( ~ positional_advantage(U_50,U_46)
| ~ smaller_or_equal(age(U_50,U_46),tau) ) )
| ~ robust_position(U_50) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_48,sK1(U_51))],[f_11_3]) ).
fof(f_11_5,plain,
( ! [U_51] :
( robust_position(U_51)
| ( ~ positional_advantage(U_51,sK2(U_51))
& greater(age(U_51,sK2(U_51)),tau) )
| ( positional_advantage(U_51,sK1(U_51))
& smaller_or_equal(age(U_51,sK1(U_51)),tau) ) )
& ! [U_50] :
( ( ! [U_47] :
( positional_advantage(U_50,U_47)
| ~ greater(age(U_50,U_47),tau) )
& ! [U_46] :
( ~ positional_advantage(U_50,U_46)
| ~ smaller_or_equal(age(U_50,U_46),tau) ) )
| ~ robust_position(U_50) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_49,sK2(U_51))],[f_11_4]) ).
fof(f_11_6,plain,
( ! [U_51] :
( ~ positional_advantage(U_51,sK2(U_51))
| ~ sP9(U_51) )
& ! [U_51] :
( greater(age(U_51,sK2(U_51)),tau)
| ~ sP9(U_51) )
& ! [U_51] :
( positional_advantage(U_51,sK1(U_51))
| ~ sP8(U_51) )
& ! [U_51] :
( smaller_or_equal(age(U_51,sK1(U_51)),tau)
| ~ sP8(U_51) )
& ! [U_50,U_47,U_46] :
( positional_advantage(U_50,U_47)
| ~ greater(age(U_50,U_47),tau)
| ~ sP7(U_50,U_47,U_46) )
& ! [U_50,U_47,U_46] :
( ~ positional_advantage(U_50,U_46)
| ~ smaller_or_equal(age(U_50,U_46),tau)
| ~ sP7(U_50,U_47,U_46) )
& ! [U_51] :
( robust_position(U_51)
| sP9(U_51)
| sP8(U_51) )
& ! [U_50,U_47,U_46] :
( sP7(U_50,U_47,U_46)
| ~ robust_position(U_50) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP7,sP8,sP9])],[f_11_5]) ).
cnf(f_11_7,plain,
( sP7(U_50,U_47,U_46)
| ~ robust_position(U_50) ),
inference(clausify,[status(thm)],[f_11_6]) ).
cnf(f_11_8,plain,
( robust_position(U_51)
| sP9(U_51)
| sP8(U_51) ),
inference(clausify,[status(thm)],[f_11_6]) ).
cnf(f_11_9,plain,
( ~ positional_advantage(U_50,U_46)
| ~ smaller_or_equal(age(U_50,U_46),tau)
| ~ sP7(U_50,U_47,U_46) ),
inference(clausify,[status(thm)],[f_11_6]) ).
cnf(f_11_10,plain,
( positional_advantage(U_50,U_47)
| ~ greater(age(U_50,U_47),tau)
| ~ sP7(U_50,U_47,U_46) ),
inference(clausify,[status(thm)],[f_11_6]) ).
cnf(f_11_11,plain,
( smaller_or_equal(age(U_51,sK1(U_51)),tau)
| ~ sP8(U_51) ),
inference(clausify,[status(thm)],[f_11_6]) ).
cnf(f_11_12,plain,
( positional_advantage(U_51,sK1(U_51))
| ~ sP8(U_51) ),
inference(clausify,[status(thm)],[f_11_6]) ).
cnf(f_11_13,plain,
( greater(age(U_51,sK2(U_51)),tau)
| ~ sP9(U_51) ),
inference(clausify,[status(thm)],[f_11_6]) ).
cnf(f_11_14,plain,
( ~ positional_advantage(U_51,sK2(U_51))
| ~ sP9(U_51) ),
inference(clausify,[status(thm)],[f_11_6]) ).
fof(f_12_1,plain,
! [X,T] :
( ( ( ( ( hazard_of_mortality(X,T) = high
| positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod2
| positional_advantage(X,T)
| ~ is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod1
| ~ positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = low
| ~ positional_advantage(X,T)
| ~ is_aligned(X,T) ) )
| has_immunity(X,T) )
& ( hazard_of_mortality(X,T) = very_low
| ~ has_immunity(X,T) ) )
| ~ organization(X) ),
inference(fof_nnf,[status(thm)],[assumption_17]) ).
fof(f_12_2,plain,
! [U_53,U_52] :
( ( ( ( ( hazard_of_mortality(U_53,U_52) = high
| positional_advantage(U_53,U_52)
| is_aligned(U_53,U_52) )
& ( hazard_of_mortality(U_53,U_52) = mod2
| positional_advantage(U_53,U_52)
| ~ is_aligned(U_53,U_52) )
& ( hazard_of_mortality(U_53,U_52) = mod1
| ~ positional_advantage(U_53,U_52)
| is_aligned(U_53,U_52) )
& ( hazard_of_mortality(U_53,U_52) = low
| ~ positional_advantage(U_53,U_52)
| ~ is_aligned(U_53,U_52) ) )
| has_immunity(U_53,U_52) )
& ( hazard_of_mortality(U_53,U_52) = very_low
| ~ has_immunity(U_53,U_52) ) )
| ~ organization(U_53) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
! [U_53] :
( ( ! [U_55] :
( ( ( hazard_of_mortality(U_53,U_55) = high
| positional_advantage(U_53,U_55)
| is_aligned(U_53,U_55) )
& ( hazard_of_mortality(U_53,U_55) = mod2
| positional_advantage(U_53,U_55)
| ~ is_aligned(U_53,U_55) )
& ( hazard_of_mortality(U_53,U_55) = mod1
| ~ positional_advantage(U_53,U_55)
| is_aligned(U_53,U_55) )
& ( hazard_of_mortality(U_53,U_55) = low
| ~ positional_advantage(U_53,U_55)
| ~ is_aligned(U_53,U_55) ) )
| has_immunity(U_53,U_55) )
& ! [U_54] :
( hazard_of_mortality(U_53,U_54) = very_low
| ~ has_immunity(U_53,U_54) ) )
| ~ organization(U_53) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_55,U_53] :
( hazard_of_mortality(U_53,U_55) = high
| positional_advantage(U_53,U_55)
| is_aligned(U_53,U_55)
| ~ sP10(U_55,U_53) )
& ! [U_55,U_53] :
( hazard_of_mortality(U_53,U_55) = mod2
| positional_advantage(U_53,U_55)
| ~ is_aligned(U_53,U_55)
| ~ sP10(U_55,U_53) )
& ! [U_55,U_53] :
( hazard_of_mortality(U_53,U_55) = mod1
| ~ positional_advantage(U_53,U_55)
| is_aligned(U_53,U_55)
| ~ sP10(U_55,U_53) )
& ! [U_55,U_53] :
( hazard_of_mortality(U_53,U_55) = low
| ~ positional_advantage(U_53,U_55)
| ~ is_aligned(U_53,U_55)
| ~ sP10(U_55,U_53) )
& ! [U_55,U_53,U_54] :
( sP10(U_55,U_53)
| has_immunity(U_53,U_55)
| ~ sP11(U_55,U_53,U_54) )
& ! [U_55,U_53,U_54] :
( hazard_of_mortality(U_53,U_54) = very_low
| ~ has_immunity(U_53,U_54)
| ~ sP11(U_55,U_53,U_54) )
& ! [U_55,U_53,U_54] :
( sP11(U_55,U_53,U_54)
| ~ organization(U_53) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP10,sP11])],[f_12_3]) ).
cnf(f_12_5,plain,
( sP11(U_55,U_53,U_54)
| ~ organization(U_53) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_6,plain,
( hazard_of_mortality(U_53,U_54) = very_low
| ~ has_immunity(U_53,U_54)
| ~ sP11(U_55,U_53,U_54) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_7,plain,
( sP10(U_55,U_53)
| has_immunity(U_53,U_55)
| ~ sP11(U_55,U_53,U_54) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_8,plain,
( hazard_of_mortality(U_53,U_55) = low
| ~ positional_advantage(U_53,U_55)
| ~ is_aligned(U_53,U_55)
| ~ sP10(U_55,U_53) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_9,plain,
( hazard_of_mortality(U_53,U_55) = mod1
| ~ positional_advantage(U_53,U_55)
| is_aligned(U_53,U_55)
| ~ sP10(U_55,U_53) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_10,plain,
( hazard_of_mortality(U_53,U_55) = mod2
| positional_advantage(U_53,U_55)
| ~ is_aligned(U_53,U_55)
| ~ sP10(U_55,U_53) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_11,plain,
( hazard_of_mortality(U_53,U_55) = high
| positional_advantage(U_53,U_55)
| is_aligned(U_53,U_55)
| ~ sP10(U_55,U_53) ),
inference(clausify,[status(thm)],[f_12_4]) ).
fof(f_13_1,plain,
greater(mod2,mod1),
inference(fof_nnf,[status(thm)],[assumption_19]) ).
fof(f_13_2,plain,
greater(mod2,mod1),
inference(definitional_conversion,[status(esa)],[f_13_1]) ).
cnf(f_13_3,plain,
greater(mod2,mod1),
inference(clausify,[status(thm)],[f_13_2]) ).
fof(f_14_1,negated_conjecture,
~ ! [X,T0,T1,T2] :
( ( greater(age(X,T2),sigma)
& smaller_or_equal(age(X,T1),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(X,T0) = zero
& ~ has_endowment(X)
& robust_position(X)
& organization(X) )
=> ( hazard_of_mortality(X,T1) = hazard_of_mortality(X,T0)
& smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) ) ),
inference(negate,[status(cth)],[theorem_8]) ).
fof(f_14_2,negated_conjecture,
? [X,T0,T1,T2] :
( ( hazard_of_mortality(X,T1) != hazard_of_mortality(X,T0)
| ~ smaller(hazard_of_mortality(X,T2),hazard_of_mortality(X,T1)) )
& greater(age(X,T2),sigma)
& smaller_or_equal(age(X,T1),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(X,T0) = zero
& ~ has_endowment(X)
& robust_position(X)
& organization(X) ),
inference(fof_nnf,[status(thm)],[f_14_1]) ).
fof(f_14_3,negated_conjecture,
? [U_59,U_58,U_57,U_56] :
( ( hazard_of_mortality(U_59,U_57) != hazard_of_mortality(U_59,U_58)
| ~ smaller(hazard_of_mortality(U_59,U_56),hazard_of_mortality(U_59,U_57)) )
& greater(age(U_59,U_56),sigma)
& smaller_or_equal(age(U_59,U_57),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(U_59,U_58) = zero
& ~ has_endowment(U_59)
& robust_position(U_59)
& organization(U_59) ),
inference(variable_rename,[status(thm)],[f_14_2]) ).
fof(f_14_4,negated_conjecture,
? [U_58,U_57,U_56] :
( ( hazard_of_mortality(sK3,U_57) != hazard_of_mortality(sK3,U_58)
| ~ smaller(hazard_of_mortality(sK3,U_56),hazard_of_mortality(sK3,U_57)) )
& greater(age(sK3,U_56),sigma)
& smaller_or_equal(age(sK3,U_57),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(sK3,U_58) = zero
& ~ has_endowment(sK3)
& robust_position(sK3)
& organization(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_59,sK3)],[f_14_3]) ).
fof(f_14_5,negated_conjecture,
? [U_57,U_56] :
( ( hazard_of_mortality(sK3,U_57) != hazard_of_mortality(sK3,sK4)
| ~ smaller(hazard_of_mortality(sK3,U_56),hazard_of_mortality(sK3,U_57)) )
& greater(age(sK3,U_56),sigma)
& smaller_or_equal(age(sK3,U_57),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(sK3,sK4) = zero
& ~ has_endowment(sK3)
& robust_position(sK3)
& organization(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_58,sK4)],[f_14_4]) ).
fof(f_14_6,negated_conjecture,
? [U_56] :
( ( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| ~ smaller(hazard_of_mortality(sK3,U_56),hazard_of_mortality(sK3,sK5)) )
& greater(age(sK3,U_56),sigma)
& smaller_or_equal(age(sK3,sK5),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(sK3,sK4) = zero
& ~ has_endowment(sK3)
& robust_position(sK3)
& organization(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_57,sK5)],[f_14_5]) ).
fof(f_14_7,negated_conjecture,
( ( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| ~ smaller(hazard_of_mortality(sK3,sK6),hazard_of_mortality(sK3,sK5)) )
& greater(age(sK3,sK6),sigma)
& smaller_or_equal(age(sK3,sK5),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(sK3,sK4) = zero
& ~ has_endowment(sK3)
& robust_position(sK3)
& organization(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_56,sK6)],[f_14_6]) ).
fof(f_14_8,negated_conjecture,
( ( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| ~ smaller(hazard_of_mortality(sK3,sK6),hazard_of_mortality(sK3,sK5)) )
& greater(age(sK3,sK6),sigma)
& smaller_or_equal(age(sK3,sK5),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& age(sK3,sK4) = zero
& ~ has_endowment(sK3)
& robust_position(sK3)
& organization(sK3) ),
inference(definitional_conversion,[status(esa)],[f_14_7]) ).
cnf(f_14_9,negated_conjecture,
organization(sK3),
inference(clausify,[status(thm)],[f_14_8]) ).
cnf(f_14_10,negated_conjecture,
robust_position(sK3),
inference(clausify,[status(thm)],[f_14_8]) ).
cnf(f_14_11,negated_conjecture,
~ has_endowment(sK3),
inference(clausify,[status(thm)],[f_14_8]) ).
cnf(f_14_12,negated_conjecture,
age(sK3,sK4) = zero,
inference(clausify,[status(thm)],[f_14_8]) ).
cnf(f_14_13,negated_conjecture,
greater(sigma,zero),
inference(clausify,[status(thm)],[f_14_8]) ).
cnf(f_14_14,negated_conjecture,
greater(tau,zero),
inference(clausify,[status(thm)],[f_14_8]) ).
cnf(f_14_15,negated_conjecture,
sigma = tau,
inference(clausify,[status(thm)],[f_14_8]) ).
cnf(f_14_16,negated_conjecture,
smaller_or_equal(age(sK3,sK5),sigma),
inference(clausify,[status(thm)],[f_14_8]) ).
cnf(f_14_17,negated_conjecture,
greater(age(sK3,sK6),sigma),
inference(clausify,[status(thm)],[f_14_8]) ).
cnf(f_14_18,negated_conjecture,
( hazard_of_mortality(sK3,sK5) != hazard_of_mortality(sK3,sK4)
| ~ smaller(hazard_of_mortality(sK3,sK6),hazard_of_mortality(sK3,sK5)) ),
inference(clausify,[status(thm)],[f_14_8]) ).
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,
( sK1(Eq_x_0) = sK1(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_7,axiom,
( sK2(Eq_x_0) = sK2(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(equality_8,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_9,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_10,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_11,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_12,axiom,
( organization(Eq_y_0)
| ~ organization(Eq_x_0)
| 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,
( 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_15,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_16,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(equality_17,axiom,
( robust_position(Eq_y_0)
| ~ robust_position(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_18,axiom,
( positional_advantage(Eq_y_0,Eq_y_1)
| ~ positional_advantage(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_19,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_20,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_21,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_22,axiom,
( sP3(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP3(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_23,axiom,
( sP4(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP4(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_24,axiom,
( sP5(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP5(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_25,axiom,
( sP6(Eq_y_0,Eq_y_1,Eq_y_2,Eq_y_3)
| ~ sP6(Eq_x_0,Eq_x_1,Eq_x_2,Eq_x_3)
| 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_26,axiom,
( sP7(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP7(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_27,axiom,
( sP8(Eq_y_0)
| ~ sP8(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_28,axiom,
( sP9(Eq_y_0)
| ~ sP9(Eq_x_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_29,axiom,
( sP10(Eq_y_0,Eq_y_1)
| ~ sP10(Eq_x_0,Eq_x_1)
| Eq_x_1 != Eq_y_1
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_predicates]) ).
cnf(equality_30,axiom,
( sP11(Eq_y_0,Eq_y_1,Eq_y_2)
| ~ sP11(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(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT062+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
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 19 16:19:05 UTC 2026
% 0.09/0.37 % CPUTime :
% 240.05/240.40 % SZS status Theorem for theBenchmark
% 240.05/240.40 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------