%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT062+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 : n019.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 04:48:23 PM UTC 2026
% Result : Theorem 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 81 ( 25 unt; 0 def)
% Number of atoms : 304 ( 54 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 338 ( 115 ~; 112 |; 74 &)
% ( 8 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 107 ( 5 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_8,conjecture,
! [X1,X5,X6,X7] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma) )
=> ( smaller(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_8) ).
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(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(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_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(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(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_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(assumption_19,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_19) ).
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(c_0_10,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_11,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( organization(X1)
& robust_position(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma) )
=> ( smaller(hazard_of_mortality(X1,X7),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_8])]) ).
fof(c_0_12,plain,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
inference(fof_simplification,[status(thm)],[assumption_1]) ).
fof(c_0_13,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_10]) ).
fof(c_0_14,plain,
! [X57,X58] :
( ~ organization(X57)
| age(X57,X58) != zero
| is_aligned(X57,X58) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])]) ).
fof(c_0_15,negated_conjecture,
( organization(esk3_0)
& robust_position(esk3_0)
& ~ has_endowment(esk3_0)
& age(esk3_0,esk4_0) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(esk3_0,esk5_0),sigma)
& greater(age(esk3_0,esk6_0),sigma)
& ( ~ smaller(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_16,plain,
! [X52,X53] :
( ~ organization(X52)
| has_endowment(X52)
| ~ has_immunity(X52,X53) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_17,plain,
! [X68,X69] :
( ( ~ has_immunity(X68,X69)
| hazard_of_mortality(X68,X69) = very_low
| ~ organization(X68) )
& ( has_immunity(X68,X69)
| epred1_2(X69,X68)
| ~ organization(X68) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_18,plain,
! [X59,X60,X61] :
( ( ~ greater(age(X59,X61),sigma)
| dissimilar(X59,X60,X61)
| ~ organization(X59)
| age(X59,X60) != zero )
& ( ~ dissimilar(X59,X60,X61)
| greater(age(X59,X61),sigma)
| ~ organization(X59)
| age(X59,X60) != zero ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])]) ).
fof(c_0_19,plain,
! [X54,X55,X56] :
( ( organization(X54)
| ~ dissimilar(X54,X55,X56) )
& ( ~ is_aligned(X54,X55)
| ~ is_aligned(X54,X56)
| ~ dissimilar(X54,X55,X56) )
& ( is_aligned(X54,X55)
| is_aligned(X54,X56)
| ~ dissimilar(X54,X55,X56) )
& ( ~ is_aligned(X54,X55)
| is_aligned(X54,X56)
| ~ organization(X54)
| dissimilar(X54,X55,X56) )
& ( ~ is_aligned(X54,X56)
| is_aligned(X54,X55)
| ~ organization(X54)
| dissimilar(X54,X55,X56) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])]) ).
cnf(c_0_20,plain,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
age(esk3_0,esk4_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
organization(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_23,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_10]) ).
cnf(c_0_24,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( has_immunity(X1,X2)
| epred1_2(X2,X1)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_26,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_27,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_28,negated_conjecture,
sigma = tau,
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,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_30,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,negated_conjecture,
is_aligned(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
fof(c_0_33,plain,
! [X74,X75] :
( ( ~ is_aligned(X74,X75)
| ~ positional_advantage(X74,X75)
| hazard_of_mortality(X74,X75) = low
| ~ epred1_2(X75,X74) )
& ( is_aligned(X74,X75)
| ~ positional_advantage(X74,X75)
| hazard_of_mortality(X74,X75) = mod1
| ~ epred1_2(X75,X74) )
& ( ~ is_aligned(X74,X75)
| positional_advantage(X74,X75)
| hazard_of_mortality(X74,X75) = mod2
| ~ epred1_2(X75,X74) )
& ( is_aligned(X74,X75)
| positional_advantage(X74,X75)
| hazard_of_mortality(X74,X75) = high
| ~ epred1_2(X75,X74) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_34,negated_conjecture,
~ has_endowment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_35,plain,
( epred1_2(X1,X2)
| has_endowment(X2)
| ~ organization(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_36,plain,
! [X62,X63,X64,X65] :
( ( ~ smaller_or_equal(age(X62,X63),tau)
| ~ positional_advantage(X62,X63)
| ~ robust_position(X62) )
& ( ~ greater(age(X62,X64),tau)
| positional_advantage(X62,X64)
| ~ robust_position(X62) )
& ( greater(age(X65,esk2_1(X65)),tau)
| smaller_or_equal(age(X65,esk1_1(X65)),tau)
| robust_position(X65) )
& ( ~ positional_advantage(X65,esk2_1(X65))
| smaller_or_equal(age(X65,esk1_1(X65)),tau)
| robust_position(X65) )
& ( greater(age(X65,esk2_1(X65)),tau)
| positional_advantage(X65,esk1_1(X65))
| robust_position(X65) )
& ( ~ positional_advantage(X65,esk2_1(X65))
| positional_advantage(X65,esk1_1(X65))
| robust_position(X65) ) ),
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_26])])])])])]) ).
cnf(c_0_37,negated_conjecture,
greater(age(esk3_0,esk6_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_38,plain,
( dissimilar(X1,X2,X3)
| age(X1,X2) != zero
| ~ organization(X1)
| ~ greater(age(X1,X3),tau) ),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_39,plain,
( greater(age(X1,X2),tau)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_28]),c_0_30]) ).
cnf(c_0_40,negated_conjecture,
( is_aligned(esk3_0,X1)
| dissimilar(esk3_0,esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_22])]) ).
cnf(c_0_41,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_33]) ).
cnf(c_0_42,negated_conjecture,
epred1_2(X1,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_22])]) ).
cnf(c_0_43,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_33]) ).
cnf(c_0_44,plain,
( positional_advantage(X1,X2)
| ~ greater(age(X1,X2),tau)
| ~ robust_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,negated_conjecture,
greater(age(esk3_0,esk6_0),tau),
inference(rw,[status(thm)],[c_0_37,c_0_28]) ).
cnf(c_0_46,negated_conjecture,
robust_position(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_47,negated_conjecture,
( dissimilar(esk3_0,esk4_0,X1)
| ~ greater(age(esk3_0,X1),tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_21]),c_0_22])]) ).
cnf(c_0_48,negated_conjecture,
( is_aligned(esk3_0,X1)
| greater(age(esk3_0,X1),tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_21])]) ).
cnf(c_0_49,plain,
( hazard_of_mortality(esk3_0,X1) = mod2
| positional_advantage(esk3_0,X1)
| ~ is_aligned(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,plain,
( hazard_of_mortality(esk3_0,X1) = mod1
| is_aligned(esk3_0,X1)
| ~ positional_advantage(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_42]) ).
cnf(c_0_51,negated_conjecture,
positional_advantage(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_52,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_53,negated_conjecture,
dissimilar(esk3_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_47,c_0_45]) ).
cnf(c_0_54,plain,
( ~ smaller_or_equal(age(X1,X2),tau)
| ~ positional_advantage(X1,X2)
| ~ robust_position(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55,negated_conjecture,
( positional_advantage(esk3_0,X1)
| is_aligned(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_48]),c_0_46])]) ).
cnf(c_0_56,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_57,negated_conjecture,
( ~ smaller(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| hazard_of_mortality(esk3_0,esk5_0) != hazard_of_mortality(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_58,negated_conjecture,
( hazard_of_mortality(esk3_0,esk4_0) = mod2
| positional_advantage(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_59,negated_conjecture,
( hazard_of_mortality(esk3_0,esk6_0) = mod1
| is_aligned(esk3_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_60,negated_conjecture,
~ is_aligned(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_32])]) ).
cnf(c_0_61,negated_conjecture,
( is_aligned(esk3_0,X1)
| ~ smaller_or_equal(age(esk3_0,X1),tau) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_46])]) ).
cnf(c_0_62,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),tau),
inference(rw,[status(thm)],[c_0_56,c_0_28]) ).
fof(c_0_63,plain,
! [X43,X44] :
( ( ~ smaller(X43,X44)
| greater(X44,X43) )
& ( ~ greater(X44,X43)
| smaller(X43,X44) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
cnf(c_0_64,negated_conjecture,
greater(sigma,zero),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_65,negated_conjecture,
( positional_advantage(esk3_0,esk4_0)
| hazard_of_mortality(esk3_0,esk5_0) != mod2
| ~ smaller(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
hazard_of_mortality(esk3_0,esk6_0) = mod1,
inference(sr,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
is_aligned(esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_69,plain,
greater(mod2,mod1),
inference(split_conjunct,[status(thm)],[assumption_19]) ).
fof(c_0_70,plain,
! [X39,X40] :
( ( ~ smaller_or_equal(X39,X40)
| smaller(X39,X40)
| X39 = X40 )
& ( ~ smaller(X39,X40)
| smaller_or_equal(X39,X40) )
& ( X39 != X40
| smaller_or_equal(X39,X40) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
cnf(c_0_71,negated_conjecture,
greater(tau,zero),
inference(rw,[status(thm)],[c_0_64,c_0_28]) ).
cnf(c_0_72,negated_conjecture,
( positional_advantage(esk3_0,esk4_0)
| hazard_of_mortality(esk3_0,esk5_0) != mod2
| ~ smaller(mod1,hazard_of_mortality(esk3_0,esk5_0)) ),
inference(rw,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,plain,
( hazard_of_mortality(esk3_0,esk5_0) = mod2
| positional_advantage(esk3_0,esk5_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_67]) ).
cnf(c_0_74,plain,
smaller(mod1,mod2),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,negated_conjecture,
smaller(zero,tau),
inference(spm,[status(thm)],[c_0_68,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( positional_advantage(esk3_0,esk5_0)
| positional_advantage(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_78,negated_conjecture,
smaller_or_equal(zero,tau),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_79,negated_conjecture,
positional_advantage(esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_77]),c_0_46]),c_0_21]),c_0_78])]) ).
cnf(c_0_80,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_79]),c_0_46]),c_0_62])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT062+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 : n019.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 23:31:29 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Theorem for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.367s
%------------------------------------------------------------------------------