%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT064+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:48:24 PM UTC 2026
% Result : Theorem 6.93s 4.66s
% Output : CNFRefutation 6.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 120 ( 32 unt; 0 def)
% Number of atoms : 412 ( 77 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 438 ( 146 ~; 170 |; 84 &)
% ( 8 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 144 ( 3 sgn 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_10,conjecture,
! [X1,X5,X6,X7,X8] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(sigma,tau)
& smaller_or_equal(age(X1,X6),tau)
& greater(age(X1,X7),tau)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X8),sigma) )
=> ( smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X8))
& smaller(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_10) ).
fof(meaning_postulate_greater_transitive,axiom,
! [X1,X2,X3] :
( ( greater(X1,X2)
& greater(X2,X3) )
=> greater(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
fof(assumption_15,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& age(X1,X5) = zero )
=> ( greater(age(X1,X4),sigma)
<=> dissimilar(X1,X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).
fof(assumption_13,axiom,
! [X1,X4] :
( ( organization(X1)
& age(X1,X4) = zero )
=> is_aligned(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
fof(assumption_17,axiom,
! [X1,X4] :
( organization(X1)
=> ( ( has_immunity(X1,X4)
=> hazard_of_mortality(X1,X4) = very_low )
& ( ~ has_immunity(X1,X4)
=> ( ( ( is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = low )
& ( ( ~ is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( ~ is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = high ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
fof(definition_4,axiom,
! [X1] :
( robust_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),tau)
=> ~ positional_advantage(X1,X4) )
& ( greater(age(X1,X4),tau)
=> positional_advantage(X1,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_4) ).
fof(definition_2,axiom,
! [X1,X5,X4] :
( dissimilar(X1,X5,X4)
<=> ( organization(X1)
& ~ ( is_aligned(X1,X5)
<=> is_aligned(X1,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(assumption_1,axiom,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(definition_smaller_or_equal,axiom,
! [X1,X2] :
( smaller_or_equal(X1,X2)
<=> ( smaller(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(assumption_19,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19) ).
fof(meaning_postulate_greater_strict,axiom,
! [X1,X2] :
~ ( greater(X1,X2)
& greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(assumption_18b,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).
fof(meaning_postulate_greater_comparable,axiom,
! [X1,X2] :
( smaller(X1,X2)
| X1 = X2
| greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).
fof(c_0_14,negated_conjecture,
~ ! [X1,X5,X6,X7,X8] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(sigma,tau)
& smaller_or_equal(age(X1,X6),tau)
& greater(age(X1,X7),tau)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X8),sigma) )
=> ( smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X8))
& smaller(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_10])]) ).
fof(c_0_15,plain,
! [X1,X4] :
( epred1_2(X4,X1)
<=> ( ( ( is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = low )
& ( ( ~ is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( ~ is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = high ) ) ),
introduced(definition) ).
fof(c_0_16,plain,
! [X51,X52,X53] :
( ~ greater(X51,X52)
| ~ greater(X52,X53)
| greater(X51,X53) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).
fof(c_0_17,negated_conjecture,
( organization(esk5_0)
& robust_position(esk5_0)
& ~ has_endowment(esk5_0)
& age(esk5_0,esk6_0) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(sigma,tau)
& smaller_or_equal(age(esk5_0,esk7_0),tau)
& greater(age(esk5_0,esk8_0),tau)
& smaller_or_equal(age(esk5_0,esk8_0),sigma)
& greater(age(esk5_0,esk9_0),sigma)
& ( ~ smaller(hazard_of_mortality(esk5_0,esk8_0),hazard_of_mortality(esk5_0,esk9_0))
| ~ smaller(hazard_of_mortality(esk5_0,esk9_0),hazard_of_mortality(esk5_0,esk7_0))
| hazard_of_mortality(esk5_0,esk7_0) != hazard_of_mortality(esk5_0,esk6_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_18,plain,
! [X69,X70,X71] :
( ( ~ greater(age(X69,X71),sigma)
| dissimilar(X69,X70,X71)
| ~ organization(X69)
| age(X69,X70) != zero )
& ( ~ dissimilar(X69,X70,X71)
| greater(age(X69,X71),sigma)
| ~ organization(X69)
| age(X69,X70) != zero ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])]) ).
fof(c_0_19,plain,
! [X67,X68] :
( ~ organization(X67)
| age(X67,X68) != zero
| is_aligned(X67,X68) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])]) ).
fof(c_0_20,plain,
! [X1,X4] :
( epred1_2(X4,X1)
=> ( ( ( is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = low )
& ( ( ~ is_aligned(X1,X4)
& positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod1 )
& ( ( is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = mod2 )
& ( ( ~ is_aligned(X1,X4)
& ~ positional_advantage(X1,X4) )
=> hazard_of_mortality(X1,X4) = high ) ) ),
inference(split_equiv,[status(thm)],[c_0_15]) ).
fof(c_0_21,plain,
! [X1,X4] :
( organization(X1)
=> ( ( has_immunity(X1,X4)
=> hazard_of_mortality(X1,X4) = very_low )
& ( ~ has_immunity(X1,X4)
=> epred1_2(X4,X1) ) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_17]),c_0_15]) ).
fof(c_0_22,plain,
! [X1] :
( robust_position(X1)
<=> ! [X4] :
( ( smaller_or_equal(age(X1,X4),tau)
=> ~ positional_advantage(X1,X4) )
& ( greater(age(X1,X4),tau)
=> positional_advantage(X1,X4) ) ) ),
inference(fof_simplification,[status(thm)],[definition_4]) ).
cnf(c_0_23,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
greater(sigma,tau),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( dissimilar(X1,X3,X2)
| ~ greater(age(X1,X2),sigma)
| ~ organization(X1)
| age(X1,X3) != zero ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_26,negated_conjecture,
age(esk5_0,esk6_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
organization(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_28,plain,
! [X64,X65,X66] :
( ( organization(X64)
| ~ dissimilar(X64,X65,X66) )
& ( ~ is_aligned(X64,X65)
| ~ is_aligned(X64,X66)
| ~ dissimilar(X64,X65,X66) )
& ( is_aligned(X64,X65)
| is_aligned(X64,X66)
| ~ dissimilar(X64,X65,X66) )
& ( ~ is_aligned(X64,X65)
| is_aligned(X64,X66)
| ~ organization(X64)
| dissimilar(X64,X65,X66) )
& ( ~ is_aligned(X64,X66)
| is_aligned(X64,X65)
| ~ organization(X64)
| dissimilar(X64,X65,X66) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])]) ).
cnf(c_0_29,plain,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_30,plain,
! [X85,X86] :
( ( ~ is_aligned(X85,X86)
| ~ positional_advantage(X85,X86)
| hazard_of_mortality(X85,X86) = low
| ~ epred1_2(X86,X85) )
& ( is_aligned(X85,X86)
| ~ positional_advantage(X85,X86)
| hazard_of_mortality(X85,X86) = mod1
| ~ epred1_2(X86,X85) )
& ( ~ is_aligned(X85,X86)
| positional_advantage(X85,X86)
| hazard_of_mortality(X85,X86) = mod2
| ~ epred1_2(X86,X85) )
& ( is_aligned(X85,X86)
| positional_advantage(X85,X86)
| hazard_of_mortality(X85,X86) = high
| ~ epred1_2(X86,X85) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_31,plain,
! [X78,X79] :
( ( ~ has_immunity(X78,X79)
| hazard_of_mortality(X78,X79) = very_low
| ~ organization(X78) )
& ( has_immunity(X78,X79)
| epred1_2(X79,X78)
| ~ organization(X78) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_32,plain,
! [X72,X73,X74,X75] :
( ( ~ smaller_or_equal(age(X72,X73),tau)
| ~ positional_advantage(X72,X73)
| ~ robust_position(X72) )
& ( ~ greater(age(X72,X74),tau)
| positional_advantage(X72,X74)
| ~ robust_position(X72) )
& ( greater(age(X75,esk4_1(X75)),tau)
| smaller_or_equal(age(X75,esk3_1(X75)),tau)
| robust_position(X75) )
& ( ~ positional_advantage(X75,esk4_1(X75))
| smaller_or_equal(age(X75,esk3_1(X75)),tau)
| robust_position(X75) )
& ( greater(age(X75,esk4_1(X75)),tau)
| positional_advantage(X75,esk3_1(X75))
| robust_position(X75) )
& ( ~ positional_advantage(X75,esk4_1(X75))
| positional_advantage(X75,esk3_1(X75))
| robust_position(X75) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])])]) ).
cnf(c_0_33,negated_conjecture,
( greater(X1,tau)
| ~ greater(X1,sigma) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_34,negated_conjecture,
greater(age(esk5_0,esk9_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_35,negated_conjecture,
( dissimilar(esk5_0,esk6_0,X1)
| ~ greater(age(esk5_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).
cnf(c_0_36,plain,
( greater(age(X1,X3),sigma)
| ~ dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_37,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_39,negated_conjecture,
is_aligned(esk5_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_26]),c_0_27])]) ).
fof(c_0_40,plain,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
inference(fof_simplification,[status(thm)],[assumption_1]) ).
cnf(c_0_41,plain,
( is_aligned(X1,X2)
| hazard_of_mortality(X1,X2) = mod1
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_42,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_43,plain,
( positional_advantage(X1,X2)
| ~ greater(age(X1,X2),tau)
| ~ robust_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_44,negated_conjecture,
greater(age(esk5_0,esk9_0),tau),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_45,negated_conjecture,
robust_position(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_46,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_47,negated_conjecture,
dissimilar(esk5_0,esk6_0,esk9_0),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_48,plain,
( positional_advantage(X1,X2)
| hazard_of_mortality(X1,X2) = mod2
| ~ is_aligned(X1,X2)
| ~ epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_49,plain,
! [X47,X48] :
( ( ~ smaller(X47,X48)
| greater(X48,X47) )
& ( ~ greater(X48,X47)
| smaller(X47,X48) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
cnf(c_0_50,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_51,negated_conjecture,
( is_aligned(esk5_0,X1)
| dissimilar(esk5_0,esk6_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_27])]) ).
fof(c_0_52,plain,
! [X62,X63] :
( ~ organization(X62)
| has_endowment(X62)
| ~ has_immunity(X62,X63) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])]) ).
cnf(c_0_53,plain,
( hazard_of_mortality(X1,X2) = mod1
| is_aligned(X1,X2)
| has_immunity(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_54,negated_conjecture,
positional_advantage(esk5_0,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_55,negated_conjecture,
~ is_aligned(esk5_0,esk9_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_39])]) ).
cnf(c_0_56,plain,
( hazard_of_mortality(X1,X2) = mod2
| positional_advantage(X1,X2)
| has_immunity(X1,X2)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_42]) ).
fof(c_0_57,plain,
! [X43,X44] :
( ( ~ smaller_or_equal(X43,X44)
| smaller(X43,X44)
| X43 = X44 )
& ( ~ smaller(X43,X44)
| smaller_or_equal(X43,X44) )
& ( X43 != X44
| smaller_or_equal(X43,X44) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
cnf(c_0_58,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_59,negated_conjecture,
greater(tau,zero),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_60,negated_conjecture,
( is_aligned(esk5_0,X1)
| greater(age(esk5_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_26])]) ).
cnf(c_0_61,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,negated_conjecture,
( hazard_of_mortality(esk5_0,esk9_0) = mod1
| has_immunity(esk5_0,esk9_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_27])]),c_0_55]) ).
cnf(c_0_63,negated_conjecture,
~ has_endowment(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_64,negated_conjecture,
( hazard_of_mortality(esk5_0,esk6_0) = mod2
| positional_advantage(esk5_0,esk6_0)
| has_immunity(esk5_0,esk6_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_39]),c_0_27])]) ).
cnf(c_0_65,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,negated_conjecture,
smaller(zero,tau),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_67,plain,
( hazard_of_mortality(esk5_0,X1) = mod2
| positional_advantage(esk5_0,X1)
| has_immunity(esk5_0,X1)
| greater(age(esk5_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_60]),c_0_27])]) ).
cnf(c_0_68,plain,
( hazard_of_mortality(X1,X2) = low
| ~ is_aligned(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ epred1_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_69,negated_conjecture,
( ~ smaller(hazard_of_mortality(esk5_0,esk8_0),hazard_of_mortality(esk5_0,esk9_0))
| ~ smaller(hazard_of_mortality(esk5_0,esk9_0),hazard_of_mortality(esk5_0,esk7_0))
| hazard_of_mortality(esk5_0,esk7_0) != hazard_of_mortality(esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_70,negated_conjecture,
hazard_of_mortality(esk5_0,esk9_0) = mod1,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_27])]),c_0_63]) ).
cnf(c_0_71,plain,
( ~ smaller_or_equal(age(X1,X2),tau)
| ~ positional_advantage(X1,X2)
| ~ robust_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_72,negated_conjecture,
( hazard_of_mortality(esk5_0,esk6_0) = mod2
| positional_advantage(esk5_0,esk6_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_64]),c_0_27])]),c_0_63]) ).
cnf(c_0_73,negated_conjecture,
smaller_or_equal(zero,tau),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,plain,
( hazard_of_mortality(esk5_0,X1) = mod2
| positional_advantage(esk5_0,X1)
| greater(age(esk5_0,X1),sigma) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_67]),c_0_27])]),c_0_63]) ).
cnf(c_0_75,plain,
( hazard_of_mortality(X1,X2) = low
| has_immunity(X1,X2)
| ~ positional_advantage(X1,X2)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(spm,[status(thm)],[c_0_68,c_0_42]) ).
cnf(c_0_76,negated_conjecture,
greater(age(esk5_0,esk8_0),tau),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_77,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_78,negated_conjecture,
smaller_or_equal(age(esk5_0,esk8_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_79,negated_conjecture,
( hazard_of_mortality(esk5_0,esk6_0) != hazard_of_mortality(esk5_0,esk7_0)
| ~ smaller(hazard_of_mortality(esk5_0,esk8_0),mod1)
| ~ smaller(mod1,hazard_of_mortality(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70]),c_0_70]) ).
cnf(c_0_80,negated_conjecture,
hazard_of_mortality(esk5_0,esk6_0) = mod2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_45]),c_0_26]),c_0_73])]) ).
cnf(c_0_81,plain,
( hazard_of_mortality(esk5_0,X1) = mod2
| greater(age(esk5_0,X1),sigma)
| ~ smaller_or_equal(age(esk5_0,X1),tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_74]),c_0_45])]) ).
cnf(c_0_82,negated_conjecture,
smaller_or_equal(age(esk5_0,esk7_0),tau),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_83,plain,
greater(mod2,mod1),
inference(split_conjunct,[status(thm)],[assumption_19]) ).
cnf(c_0_84,plain,
( hazard_of_mortality(esk5_0,X1) = low
| has_immunity(esk5_0,X1)
| greater(age(esk5_0,X1),sigma)
| ~ positional_advantage(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_60]),c_0_27])]) ).
cnf(c_0_85,negated_conjecture,
positional_advantage(esk5_0,esk8_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_76]),c_0_45])]) ).
fof(c_0_86,plain,
! [X49,X50] :
( ~ greater(X49,X50)
| ~ greater(X50,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])]) ).
cnf(c_0_87,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_88,negated_conjecture,
( age(esk5_0,esk8_0) = sigma
| smaller(age(esk5_0,esk8_0),sigma) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_89,negated_conjecture,
( hazard_of_mortality(esk5_0,esk7_0) != mod2
| ~ smaller(hazard_of_mortality(esk5_0,esk8_0),mod1)
| ~ smaller(mod1,hazard_of_mortality(esk5_0,esk7_0)) ),
inference(rw,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_90,negated_conjecture,
( hazard_of_mortality(esk5_0,esk7_0) = mod2
| greater(age(esk5_0,esk7_0),sigma) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_91,plain,
smaller(mod1,mod2),
inference(spm,[status(thm)],[c_0_58,c_0_83]) ).
cnf(c_0_92,negated_conjecture,
( hazard_of_mortality(esk5_0,esk8_0) = low
| has_immunity(esk5_0,esk8_0)
| greater(age(esk5_0,esk8_0),sigma) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_93,plain,
greater(mod1,low),
inference(split_conjunct,[status(thm)],[assumption_18b]) ).
fof(c_0_94,plain,
! [X54,X55] :
( smaller(X54,X55)
| X54 = X55
| greater(X54,X55) ),
inference(variable_rename,[status(thm)],[meaning_postulate_greater_comparable]) ).
cnf(c_0_95,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_96,negated_conjecture,
( age(esk5_0,esk8_0) = sigma
| greater(sigma,age(esk5_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_97,negated_conjecture,
( greater(age(esk5_0,esk7_0),sigma)
| ~ smaller(hazard_of_mortality(esk5_0,esk8_0),mod1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).
cnf(c_0_98,negated_conjecture,
( hazard_of_mortality(esk5_0,esk8_0) = low
| greater(age(esk5_0,esk8_0),sigma) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_92]),c_0_27])]),c_0_63]) ).
cnf(c_0_99,plain,
smaller(low,mod1),
inference(spm,[status(thm)],[c_0_58,c_0_93]) ).
cnf(c_0_100,plain,
( smaller(X1,X2)
| X1 = X2
| greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_101,negated_conjecture,
( age(esk5_0,esk8_0) = sigma
| ~ greater(age(esk5_0,esk8_0),sigma) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
( greater(age(esk5_0,esk8_0),sigma)
| greater(age(esk5_0,esk7_0),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]) ).
cnf(c_0_103,plain,
( X1 = X2
| greater(X1,X2)
| greater(X2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( age(esk5_0,esk8_0) = sigma
| greater(age(esk5_0,esk7_0),sigma) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_105,negated_conjecture,
( sigma = X1
| greater(sigma,X1)
| greater(X1,tau) ),
inference(spm,[status(thm)],[c_0_33,c_0_103]) ).
cnf(c_0_106,negated_conjecture,
( age(esk5_0,esk8_0) = sigma
| greater(age(esk5_0,esk7_0),tau) ),
inference(spm,[status(thm)],[c_0_33,c_0_104]) ).
cnf(c_0_107,negated_conjecture,
( age(X1,X2) = sigma
| positional_advantage(X1,X2)
| greater(sigma,age(X1,X2))
| ~ robust_position(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
( age(esk5_0,esk8_0) = sigma
| positional_advantage(esk5_0,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_106]),c_0_45])]) ).
cnf(c_0_109,negated_conjecture,
( age(X1,X2) = sigma
| greater(sigma,age(X1,X2))
| ~ robust_position(X1)
| ~ smaller_or_equal(age(X1,X2),tau) ),
inference(spm,[status(thm)],[c_0_71,c_0_107]) ).
cnf(c_0_110,negated_conjecture,
( greater(age(esk5_0,esk7_0),sigma)
| ~ greater(sigma,age(esk5_0,esk8_0)) ),
inference(spm,[status(thm)],[c_0_95,c_0_102]) ).
cnf(c_0_111,negated_conjecture,
age(esk5_0,esk8_0) = sigma,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_108]),c_0_45]),c_0_82])]) ).
cnf(c_0_112,negated_conjecture,
( age(esk5_0,esk7_0) = sigma
| greater(sigma,age(esk5_0,esk7_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_82]),c_0_45])]) ).
cnf(c_0_113,negated_conjecture,
( greater(age(esk5_0,esk7_0),sigma)
| ~ greater(sigma,sigma) ),
inference(rw,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_114,negated_conjecture,
( age(esk5_0,esk7_0) = sigma
| ~ greater(age(esk5_0,esk7_0),sigma) ),
inference(spm,[status(thm)],[c_0_95,c_0_112]) ).
cnf(c_0_115,negated_conjecture,
greater(age(esk5_0,esk7_0),sigma),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_111]),c_0_113]) ).
cnf(c_0_116,negated_conjecture,
~ smaller_or_equal(age(esk5_0,esk8_0),tau),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_85]),c_0_45])]) ).
cnf(c_0_117,negated_conjecture,
age(esk5_0,esk7_0) = sigma,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115])]) ).
cnf(c_0_118,negated_conjecture,
~ smaller_or_equal(sigma,tau),
inference(rw,[status(thm)],[c_0_116,c_0_111]) ).
cnf(c_0_119,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_117]),c_0_118]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT064+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n005.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 23:31:15 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 6.93/4.66 % Version : CSE_E---1.7
% 6.93/4.66 % Problem : theBenchmark.p
% 6.93/4.66 % SZS status Theorem for theBenchmark.p
% 6.93/4.66 % SZS output start CNFRefutation
% See solution above
% 6.93/4.69 % Total time : 3.369s
%------------------------------------------------------------------------------