%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT054+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 : n012.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 1.12s 1.61s
% Output : CNFRefutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 65 ( 11 unt; 0 def)
% Number of atoms : 215 ( 23 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 243 ( 93 ~; 89 |; 44 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 118 ( 5 sgn 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(theorem_5,conjecture,
! [X1,X5,X6,X7] :
( ( organization(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma)
& greater(sigma,zero) )
=> greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5) ).
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(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_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_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
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_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_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_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(assumption_1,axiom,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(c_0_11,negated_conjecture,
~ ! [X1,X5,X6,X7] :
( ( organization(X1)
& ~ has_endowment(X1)
& age(X1,X5) = zero
& smaller_or_equal(age(X1,X6),sigma)
& greater(age(X1,X7),sigma)
& greater(sigma,zero) )
=> greater(hazard_of_mortality(X1,X7),hazard_of_mortality(X1,X6)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[theorem_5])]) ).
fof(c_0_12,plain,
! [X65,X66] :
( ~ organization(X65)
| age(X65,X66) != zero
| is_aligned(X65,X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_13])]) ).
fof(c_0_13,negated_conjecture,
( organization(esk1_0)
& ~ has_endowment(esk1_0)
& age(esk1_0,esk2_0) = zero
& smaller_or_equal(age(esk1_0,esk3_0),sigma)
& greater(age(esk1_0,esk4_0),sigma)
& greater(sigma,zero)
& ~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_14,plain,
! [X44,X45] :
( ( ~ smaller_or_equal(X44,X45)
| smaller(X44,X45)
| X44 = X45 )
& ( ~ smaller(X44,X45)
| smaller_or_equal(X44,X45) )
& ( X44 != X45
| smaller_or_equal(X44,X45) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
fof(c_0_15,plain,
! [X70,X71,X72] :
( ( ~ greater(age(X70,X72),sigma)
| dissimilar(X70,X71,X72)
| ~ organization(X70)
| age(X70,X71) != zero )
& ( ~ dissimilar(X70,X71,X72)
| greater(age(X70,X72),sigma)
| ~ organization(X70)
| age(X70,X71) != zero ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_15])])]) ).
fof(c_0_16,plain,
! [X62,X63,X64] :
( ( organization(X62)
| ~ dissimilar(X62,X63,X64) )
& ( ~ is_aligned(X62,X63)
| ~ is_aligned(X62,X64)
| ~ dissimilar(X62,X63,X64) )
& ( is_aligned(X62,X63)
| is_aligned(X62,X64)
| ~ dissimilar(X62,X63,X64) )
& ( ~ is_aligned(X62,X63)
| is_aligned(X62,X64)
| ~ organization(X62)
| dissimilar(X62,X63,X64) )
& ( ~ is_aligned(X62,X64)
| is_aligned(X62,X63)
| ~ organization(X62)
| dissimilar(X62,X63,X64) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])]) ).
cnf(c_0_17,plain,
( is_aligned(X1,X2)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
age(esk1_0,esk2_0) = zero,
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_20,plain,
! [X48,X49] :
( ( ~ smaller(X48,X49)
| greater(X49,X48) )
& ( ~ greater(X49,X48)
| smaller(X48,X49) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
cnf(c_0_21,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
smaller_or_equal(age(esk1_0,esk3_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,plain,
( greater(age(X1,X3),sigma)
| ~ dissimilar(X1,X2,X3)
| ~ organization(X1)
| age(X1,X2) != zero ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
is_aligned(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
fof(c_0_27,plain,
! [X50,X51] :
( ~ greater(X50,X51)
| ~ greater(X51,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])]) ).
cnf(c_0_28,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| smaller(age(esk1_0,esk3_0),sigma) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_30,plain,
( greater(age(X1,X2),sigma)
| age(X1,X3) != zero
| ~ dissimilar(X1,X3,X2) ),
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( is_aligned(esk1_0,X1)
| dissimilar(esk1_0,esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_19])]) ).
cnf(c_0_32,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| greater(sigma,age(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( is_aligned(esk1_0,X1)
| greater(age(esk1_0,X1),sigma) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_18])]) ).
cnf(c_0_35,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| ~ greater(age(esk1_0,esk3_0),sigma) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_36,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_37,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_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,negated_conjecture,
( is_aligned(esk1_0,X1)
| ~ greater(sigma,age(esk1_0,X1)) ),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
( age(esk1_0,esk3_0) = sigma
| is_aligned(esk1_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_41,plain,
! [X73,X74,X75] :
( ~ organization(X73)
| has_immunity(X73,X74)
| has_immunity(X73,X75)
| ~ greater(capability(X73,X75),capability(X73,X74))
| greater(hazard_of_mortality(X73,X74),hazard_of_mortality(X73,X75)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).
fof(c_0_42,plain,
! [X59,X60,X61] :
( ~ organization(X59)
| ~ has_immunity(X59,X60)
| has_immunity(X59,X61)
| greater(hazard_of_mortality(X59,X61),hazard_of_mortality(X59,X60)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).
fof(c_0_43,plain,
! [X67,X68,X69] :
( ~ organization(X67)
| ~ is_aligned(X67,X68)
| is_aligned(X67,X69)
| greater(capability(X67,X68),capability(X67,X69)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).
cnf(c_0_44,negated_conjecture,
( is_aligned(esk1_0,esk3_0)
| ~ greater(sigma,sigma) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_46,plain,
( dissimilar(X1,X3,X2)
| ~ greater(age(X1,X2),sigma)
| ~ organization(X1)
| age(X1,X3) != zero ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_47,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_41]) ).
cnf(c_0_48,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_42]) ).
cnf(c_0_49,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_43]) ).
cnf(c_0_50,negated_conjecture,
is_aligned(esk1_0,esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_40]),c_0_44]) ).
cnf(c_0_51,plain,
( age(X1,X2) != zero
| ~ is_aligned(X1,X3)
| ~ organization(X1)
| ~ greater(age(X1,X3),sigma) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_17]) ).
cnf(c_0_52,negated_conjecture,
greater(age(esk1_0,esk4_0),sigma),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_53,plain,
! [X1,X4] :
( ( organization(X1)
& ~ has_endowment(X1) )
=> ~ has_immunity(X1,X4) ),
inference(fof_simplification,[status(thm)],[assumption_1]) ).
cnf(c_0_54,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_47,c_0_48]) ).
cnf(c_0_55,negated_conjecture,
( is_aligned(esk1_0,X1)
| greater(capability(esk1_0,esk3_0),capability(esk1_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_19])]) ).
cnf(c_0_56,negated_conjecture,
( age(esk1_0,X1) != zero
| ~ is_aligned(esk1_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_19])]) ).
fof(c_0_57,plain,
! [X57,X58] :
( ~ organization(X57)
| has_endowment(X57)
| ~ has_immunity(X57,X58) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])]) ).
cnf(c_0_58,negated_conjecture,
~ greater(hazard_of_mortality(esk1_0,esk4_0),hazard_of_mortality(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_59,negated_conjecture,
( is_aligned(esk1_0,X1)
| has_immunity(esk1_0,X1)
| greater(hazard_of_mortality(esk1_0,X1),hazard_of_mortality(esk1_0,esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_19])]) ).
cnf(c_0_60,negated_conjecture,
~ is_aligned(esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_56,c_0_18]) ).
cnf(c_0_61,plain,
( has_endowment(X1)
| ~ organization(X1)
| ~ has_immunity(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,negated_conjecture,
has_immunity(esk1_0,esk4_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_63,negated_conjecture,
~ has_endowment(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_64,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_19])]),c_0_63]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : MGT054+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.06 % 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
% 0.06/0.24 % Computer : n012.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 23:30:31 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 1.12/1.61 % Version : CSE_E---1.7
% 1.12/1.61 % Problem : theBenchmark.p
% 1.12/1.61 % SZS status Theorem for theBenchmark.p
% 1.12/1.61 % SZS output start CNFRefutation
% See solution above
% 1.12/1.61 % Total time : 1.361s
%------------------------------------------------------------------------------