%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT055+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 04:48:21 PM UTC 2026
% Result : Theorem 23.24s 14.02s
% Output : CNFRefutation 23.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 90 ( 26 unt; 0 def)
% Number of atoms : 303 ( 30 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 331 ( 118 ~; 122 |; 68 &)
% ( 7 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 147 ( 2 sgn 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_8,conjecture,
! [X1,X5,X6,X7,X8] :
( ( organization(X1)
& has_endowment(X1)
& age(X1,X5) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X8),sigma)
& greater(sigma,eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X7))
& greater(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',lemma_8) ).
fof(definition_1,axiom,
! [X1] :
( has_endowment(X1)
<=> ! [X4] :
( organization(X1)
& ( smaller_or_equal(age(X1,X4),eta)
=> has_immunity(X1,X4) )
& ( greater(age(X1,X4),eta)
=> ~ has_immunity(X1,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_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_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_2,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& has_immunity(X1,X5)
& has_immunity(X1,X4) )
=> hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).
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(assumption_3,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& has_immunity(X1,X5)
& ~ has_immunity(X1,X4) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
fof(assumption_16,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& ~ has_immunity(X1,X5)
& ~ has_immunity(X1,X4)
& greater(capability(X1,X4),capability(X1,X5)) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_16) ).
fof(assumption_14,axiom,
! [X1,X5,X4] :
( ( organization(X1)
& is_aligned(X1,X5)
& ~ is_aligned(X1,X4) )
=> greater(capability(X1,X5),capability(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14) ).
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(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(c_0_13,negated_conjecture,
~ ! [X1,X5,X6,X7,X8] :
( ( organization(X1)
& has_endowment(X1)
& age(X1,X5) = zero
& smaller_or_equal(age(X1,X6),eta)
& greater(age(X1,X7),eta)
& smaller_or_equal(age(X1,X7),sigma)
& greater(age(X1,X8),sigma)
& greater(sigma,eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X1,X8),hazard_of_mortality(X1,X7))
& greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6))
& hazard_of_mortality(X1,X6) = hazard_of_mortality(X1,X5) ) ),
inference(assume_negation,[status(cth)],[lemma_8]) ).
fof(c_0_14,plain,
! [X1] :
( has_endowment(X1)
<=> ! [X4] :
( organization(X1)
& ( smaller_or_equal(age(X1,X4),eta)
=> has_immunity(X1,X4) )
& ( greater(age(X1,X4),eta)
=> ~ has_immunity(X1,X4) ) ) ),
inference(fof_simplification,[status(thm)],[definition_1]) ).
fof(c_0_15,plain,
! [X53,X54] :
( ( ~ smaller(X53,X54)
| greater(X54,X53) )
& ( ~ greater(X54,X53)
| smaller(X53,X54) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
fof(c_0_16,negated_conjecture,
( organization(esk3_0)
& has_endowment(esk3_0)
& age(esk3_0,esk4_0) = zero
& smaller_or_equal(age(esk3_0,esk5_0),eta)
& greater(age(esk3_0,esk6_0),eta)
& smaller_or_equal(age(esk3_0,esk6_0),sigma)
& greater(age(esk3_0,esk7_0),sigma)
& greater(sigma,eta)
& greater(eta,zero)
& ( ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0))
| ~ greater(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_13])])]) ).
fof(c_0_17,plain,
! [X62,X63,X64,X65] :
( ( organization(X62)
| ~ has_endowment(X62) )
& ( ~ smaller_or_equal(age(X62,X63),eta)
| has_immunity(X62,X63)
| ~ has_endowment(X62) )
& ( ~ greater(age(X62,X64),eta)
| ~ has_immunity(X62,X64)
| ~ has_endowment(X62) )
& ( greater(age(X65,esk2_1(X65)),eta)
| smaller_or_equal(age(X65,esk1_1(X65)),eta)
| ~ organization(X65)
| has_endowment(X65) )
& ( has_immunity(X65,esk2_1(X65))
| smaller_or_equal(age(X65,esk1_1(X65)),eta)
| ~ organization(X65)
| has_endowment(X65) )
& ( greater(age(X65,esk2_1(X65)),eta)
| ~ has_immunity(X65,esk1_1(X65))
| ~ organization(X65)
| has_endowment(X65) )
& ( has_immunity(X65,esk2_1(X65))
| ~ has_immunity(X65,esk1_1(X65))
| ~ organization(X65)
| has_endowment(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_14])])])])])]) ).
fof(c_0_18,plain,
! [X49,X50] :
( ( ~ smaller_or_equal(X49,X50)
| smaller(X49,X50)
| X49 = X50 )
& ( ~ smaller(X49,X50)
| smaller_or_equal(X49,X50) )
& ( X49 != X50
| smaller_or_equal(X49,X50) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
cnf(c_0_19,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
greater(eta,zero),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
! [X77,X78] :
( ~ organization(X77)
| age(X77,X78) != zero
| is_aligned(X77,X78) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])]) ).
fof(c_0_22,plain,
! [X68,X69,X70] :
( ~ organization(X68)
| ~ has_immunity(X68,X69)
| ~ has_immunity(X68,X70)
| hazard_of_mortality(X68,X69) = hazard_of_mortality(X68,X70) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_2])]) ).
cnf(c_0_23,plain,
( has_immunity(X1,X2)
| ~ smaller_or_equal(age(X1,X2),eta)
| ~ has_endowment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
smaller_or_equal(age(esk3_0,esk5_0),eta),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
has_endowment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_27,negated_conjecture,
smaller(zero,eta),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_28,plain,
! [X82,X83,X84] :
( ( ~ greater(age(X82,X84),sigma)
| dissimilar(X82,X83,X84)
| ~ organization(X82)
| age(X82,X83) != zero )
& ( ~ dissimilar(X82,X83,X84)
| greater(age(X82,X84),sigma)
| ~ organization(X82)
| age(X82,X83) != zero ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])]) ).
fof(c_0_29,plain,
! [X74,X75,X76] :
( ( organization(X74)
| ~ dissimilar(X74,X75,X76) )
& ( ~ is_aligned(X74,X75)
| ~ is_aligned(X74,X76)
| ~ dissimilar(X74,X75,X76) )
& ( is_aligned(X74,X75)
| is_aligned(X74,X76)
| ~ dissimilar(X74,X75,X76) )
& ( ~ is_aligned(X74,X75)
| is_aligned(X74,X76)
| ~ organization(X74)
| dissimilar(X74,X75,X76) )
& ( ~ is_aligned(X74,X76)
| is_aligned(X74,X75)
| ~ organization(X74)
| dissimilar(X74,X75,X76) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])]) ).
cnf(c_0_30,plain,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,negated_conjecture,
age(esk3_0,esk4_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,negated_conjecture,
organization(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,plain,
( hazard_of_mortality(X1,X2) = hazard_of_mortality(X1,X3)
| ~ organization(X1)
| ~ has_immunity(X1,X2)
| ~ has_immunity(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,negated_conjecture,
has_immunity(esk3_0,esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_35,negated_conjecture,
smaller_or_equal(zero,eta),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
fof(c_0_36,plain,
! [X1,X5,X4] :
( ( organization(X1)
& has_immunity(X1,X5)
& ~ has_immunity(X1,X4) )
=> greater(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X5)) ),
inference(fof_simplification,[status(thm)],[assumption_3]) ).
fof(c_0_37,plain,
! [X1,X5,X4] :
( ( organization(X1)
& ~ has_immunity(X1,X5)
& ~ has_immunity(X1,X4)
& greater(capability(X1,X4),capability(X1,X5)) )
=> greater(hazard_of_mortality(X1,X5),hazard_of_mortality(X1,X4)) ),
inference(fof_simplification,[status(thm)],[assumption_16]) ).
fof(c_0_38,plain,
! [X1,X5,X4] :
( ( organization(X1)
& is_aligned(X1,X5)
& ~ is_aligned(X1,X4) )
=> greater(capability(X1,X5),capability(X1,X4)) ),
inference(fof_simplification,[status(thm)],[assumption_14]) ).
cnf(c_0_39,plain,
( greater(age(X1,X3),sigma)
| ~ dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_41,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_42,negated_conjecture,
is_aligned(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).
fof(c_0_43,plain,
! [X57,X58,X59] :
( ~ greater(X57,X58)
| ~ greater(X58,X59)
| greater(X57,X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).
cnf(c_0_44,negated_conjecture,
( hazard_of_mortality(esk3_0,X1) = hazard_of_mortality(esk3_0,esk5_0)
| ~ has_immunity(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_32])]) ).
cnf(c_0_45,negated_conjecture,
has_immunity(esk3_0,esk4_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_31]),c_0_25]),c_0_35])]) ).
fof(c_0_46,plain,
! [X71,X72,X73] :
( ~ organization(X71)
| ~ has_immunity(X71,X72)
| has_immunity(X71,X73)
| greater(hazard_of_mortality(X71,X73),hazard_of_mortality(X71,X72)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
fof(c_0_47,plain,
! [X85,X86,X87] :
( ~ organization(X85)
| has_immunity(X85,X86)
| has_immunity(X85,X87)
| ~ greater(capability(X85,X87),capability(X85,X86))
| greater(hazard_of_mortality(X85,X86),hazard_of_mortality(X85,X87)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).
fof(c_0_48,plain,
! [X79,X80,X81] :
( ~ organization(X79)
| ~ is_aligned(X79,X80)
| is_aligned(X79,X81)
| greater(capability(X79,X80),capability(X79,X81)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).
cnf(c_0_49,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,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_41,c_0_42]),c_0_32])]) ).
cnf(c_0_51,plain,
( dissimilar(X1,X3,X2)
| ~ greater(age(X1,X2),sigma)
| ~ organization(X1)
| age(X1,X3) != zero ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_52,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
greater(sigma,eta),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_54,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0))
| ~ greater(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_16]) ).
cnf(c_0_55,negated_conjecture,
hazard_of_mortality(esk3_0,esk4_0) = hazard_of_mortality(esk3_0,esk5_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_56,plain,
( has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,plain,
( ~ greater(age(X1,X2),eta)
| ~ has_immunity(X1,X2)
| ~ has_endowment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_58,negated_conjecture,
greater(age(esk3_0,esk6_0),eta),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_59,plain,
( has_immunity(X1,X2)
| has_immunity(X1,X3)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_60,plain,
( is_aligned(X1,X3)
| greater(capability(X1,X2),capability(X1,X3))
| ~ organization(X1)
| ~ is_aligned(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,negated_conjecture,
( is_aligned(esk3_0,X1)
| greater(age(esk3_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_31])]) ).
cnf(c_0_62,negated_conjecture,
( dissimilar(esk3_0,esk4_0,X1)
| ~ greater(age(esk3_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_31]),c_0_32])]) ).
cnf(c_0_63,negated_conjecture,
greater(age(esk3_0,esk7_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_64,negated_conjecture,
( greater(X1,eta)
| ~ greater(X1,sigma) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_65,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_66,negated_conjecture,
smaller_or_equal(age(esk3_0,esk6_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_67,negated_conjecture,
( ~ greater(hazard_of_mortality(esk3_0,esk6_0),hazard_of_mortality(esk3_0,esk5_0))
| ~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]) ).
cnf(c_0_68,negated_conjecture,
( has_immunity(esk3_0,X1)
| greater(hazard_of_mortality(esk3_0,X1),hazard_of_mortality(esk3_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_34]),c_0_32])]) ).
cnf(c_0_69,negated_conjecture,
~ has_immunity(esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_25])]) ).
cnf(c_0_70,plain,
( has_immunity(X1,X2)
| greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X3))
| ~ organization(X1)
| ~ greater(capability(X1,X3),capability(X1,X2)) ),
inference(csr,[status(thm)],[c_0_59,c_0_56]) ).
cnf(c_0_71,negated_conjecture,
( is_aligned(esk3_0,X1)
| greater(capability(esk3_0,X2),capability(esk3_0,X1))
| greater(age(esk3_0,X2),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_32])]) ).
cnf(c_0_72,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_73,negated_conjecture,
dissimilar(esk3_0,esk4_0,esk7_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_74,negated_conjecture,
greater(age(esk3_0,esk7_0),eta),
inference(spm,[status(thm)],[c_0_64,c_0_63]) ).
fof(c_0_75,plain,
! [X55,X56] :
( ~ greater(X55,X56)
| ~ greater(X56,X55) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])]) ).
cnf(c_0_76,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_77,negated_conjecture,
( age(esk3_0,esk6_0) = sigma
| smaller(age(esk3_0,esk6_0),sigma) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_78,negated_conjecture,
~ greater(hazard_of_mortality(esk3_0,esk7_0),hazard_of_mortality(esk3_0,esk6_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_79,negated_conjecture,
( is_aligned(esk3_0,X1)
| has_immunity(esk3_0,X1)
| greater(hazard_of_mortality(esk3_0,X1),hazard_of_mortality(esk3_0,X2))
| greater(age(esk3_0,X2),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_32])]) ).
cnf(c_0_80,negated_conjecture,
~ is_aligned(esk3_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_42])]) ).
cnf(c_0_81,negated_conjecture,
~ has_immunity(esk3_0,esk7_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_74]),c_0_25])]) ).
cnf(c_0_82,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_83,negated_conjecture,
( age(esk3_0,esk6_0) = sigma
| greater(sigma,age(esk3_0,esk6_0)) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_84,negated_conjecture,
greater(age(esk3_0,esk6_0),sigma),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_80]),c_0_81]) ).
cnf(c_0_85,negated_conjecture,
( age(esk3_0,esk6_0) = sigma
| ~ greater(age(esk3_0,esk6_0),sigma) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_86,negated_conjecture,
~ greater(sigma,age(esk3_0,esk6_0)),
inference(spm,[status(thm)],[c_0_82,c_0_84]) ).
cnf(c_0_87,negated_conjecture,
age(esk3_0,esk6_0) = sigma,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_84])]) ).
cnf(c_0_88,negated_conjecture,
~ greater(sigma,sigma),
inference(rw,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_89,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_87]),c_0_88]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT055+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
% 0.15/0.33 % Computer : n005.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 23:30:30 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 23.24/14.02 % Version : CSE_E---1.7
% 23.24/14.02 % Problem : theBenchmark.p
% 23.24/14.02 % SZS status Theorem for theBenchmark.p
% 23.24/14.02 % SZS output start CNFRefutation
% See solution above
% 23.37/14.11 % Total time : 10.385s
%------------------------------------------------------------------------------