%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT045+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 : n015.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 04:48:19 PM UTC 2026
% Result : Theorem 0.27s 1.61s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 22)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_4,conjecture,
! [X1,X4,X5] :
( ( organization(X1)
& greater(age(X1,X5),age(X1,X4)) )
=> greater(position(X1,X5),position(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4) ).
fof(assumption_6,axiom,
! [X1,X4,X5] :
( organization(X1)
=> ( ( greater(external_ties(X1,X5),external_ties(X1,X4))
=> greater(position(X1,X5),position(X1,X4)) )
& ( external_ties(X1,X5) = external_ties(X1,X4)
=> position(X1,X5) = position(X1,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
fof(assumption_8,axiom,
! [X1,X4,X5] :
( ( organization(X1)
& greater(age(X1,X5),age(X1,X4)) )
=> greater(external_ties(X1,X5),external_ties(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8) ).
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(definition_greater_or_equal,axiom,
! [X1,X2] :
( greater_or_equal(X1,X2)
<=> ( greater(X1,X2)
| X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).
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(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_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(i_0_9,negated_conjecture,
~ ! [X1,X4,X5] :
( ( organization(X1)
& greater(age(X1,X5),age(X1,X4)) )
=> greater(position(X1,X5),position(X1,X4)) ),
inference(assume_negation,[status(cth)],[lemma_4]) ).
fof(i_0_10,plain,
! [X41,X42,X43] :
( ( ~ greater(external_ties(X41,X43),external_ties(X41,X42))
| greater(position(X41,X43),position(X41,X42))
| ~ organization(X41) )
& ( external_ties(X41,X43) != external_ties(X41,X42)
| position(X41,X43) = position(X41,X42)
| ~ organization(X41) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_6])])]) ).
fof(i_0_11,plain,
! [X44,X45,X46] :
( ~ organization(X44)
| ~ greater(age(X44,X46),age(X44,X45))
| greater(external_ties(X44,X46),external_ties(X44,X45)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[assumption_8])]) ).
fof(i_0_12,negated_conjecture,
( organization(esk1_0)
& greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0))
& ~ greater(position(esk1_0,esk3_0),position(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_9])])]) ).
fof(i_0_13,plain,
! [X36,X37,X38] :
( ~ greater(X36,X37)
| ~ greater(X37,X38)
| greater(X36,X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).
fof(i_0_14,plain,
! [X34,X35] :
( ~ greater(X34,X35)
| ~ greater(X35,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])]) ).
fof(i_0_15,plain,
! [X30,X31] :
( ( ~ greater_or_equal(X30,X31)
| greater(X30,X31)
| X30 = X31 )
& ( ~ greater(X30,X31)
| greater_or_equal(X30,X31) )
& ( X30 != X31
| greater_or_equal(X30,X31) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_greater_or_equal])])]) ).
fof(i_0_16,plain,
! [X28,X29] :
( ( ~ smaller_or_equal(X28,X29)
| smaller(X28,X29)
| X28 = X29 )
& ( ~ smaller(X28,X29)
| smaller_or_equal(X28,X29) )
& ( X28 != X29
| smaller_or_equal(X28,X29) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
fof(i_0_17,plain,
! [X32,X33] :
( ( ~ smaller(X32,X33)
| greater(X33,X32) )
& ( ~ greater(X33,X32)
| smaller(X32,X33) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
fof(i_0_18,plain,
! [X39,X40] :
( smaller(X39,X40)
| X39 = X40
| greater(X39,X40) ),
inference(variable_rename,[status(thm)],[meaning_postulate_greater_comparable]) ).
cnf(i_0_19,plain,
( greater(position(X1,X2),position(X1,X3))
| ~ greater(external_ties(X1,X2),external_ties(X1,X3))
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_20,plain,
( greater(external_ties(X1,X2),external_ties(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
inference(split_conjunct,[status(thm)],[i_0_11]),
[final] ).
cnf(i_0_21,negated_conjecture,
~ greater(position(esk1_0,esk3_0),position(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[i_0_12]),
[final] ).
cnf(i_0_22,plain,
( position(X1,X2) = position(X1,X3)
| external_ties(X1,X2) != external_ties(X1,X3)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_23,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_24,negated_conjecture,
greater(age(esk1_0,esk3_0),age(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[i_0_12]),
[final] ).
cnf(i_0_25,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_26,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_27,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_28,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_29,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_30,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_17]),
[final] ).
cnf(i_0_31,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_32,plain,
( smaller(X1,X2)
| X1 = X2
| greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_18]),
[final] ).
cnf(i_0_33,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_34,plain,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_35,negated_conjecture,
organization(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_12]),
[final] ).
cnf(i_0_36,axiom,
X1 = X1 ).
cnf(i_0_37,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_38,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_39,axiom,
( X1 != X2
| position(X1,X3) = position(X2,X3) ) ).
cnf(i_0_40,axiom,
( X1 != X2
| position(X3,X1) = position(X3,X2) ) ).
cnf(i_0_41,axiom,
( X1 != X2
| external_ties(X1,X3) = external_ties(X2,X3) ) ).
cnf(i_0_42,axiom,
( X1 != X2
| external_ties(X3,X1) = external_ties(X3,X2) ) ).
cnf(i_0_43,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_44,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_45,axiom,
( X1 != X2
| ~ organization(X1)
| organization(X2) ) ).
cnf(i_0_46,axiom,
( X1 != X2
| ~ greater_or_equal(X1,X3)
| greater_or_equal(X2,X3) ) ).
cnf(i_0_47,axiom,
( X1 != X2
| ~ greater_or_equal(X3,X1)
| greater_or_equal(X3,X2) ) ).
cnf(i_0_48,axiom,
( X1 != X2
| ~ smaller(X1,X3)
| smaller(X2,X3) ) ).
cnf(i_0_49,axiom,
( X1 != X2
| ~ smaller(X3,X1)
| smaller(X3,X2) ) ).
cnf(i_0_50,axiom,
( X1 != X2
| ~ smaller_or_equal(X1,X3)
| smaller_or_equal(X2,X3) ) ).
cnf(i_0_51,axiom,
( X1 != X2
| ~ smaller_or_equal(X3,X1)
| smaller_or_equal(X3,X2) ) ).
cnf(i_0_36_001,axiom,
X1 = X1 ).
cnf(i_0_37_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_38_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_39_004,axiom,
( X1 != X2
| position(X1,X3) = position(X2,X3) ) ).
cnf(i_0_40_005,axiom,
( X1 != X2
| position(X3,X1) = position(X3,X2) ) ).
cnf(i_0_41_006,axiom,
( X1 != X2
| external_ties(X1,X3) = external_ties(X2,X3) ) ).
cnf(i_0_42_007,axiom,
( X1 != X2
| external_ties(X3,X1) = external_ties(X3,X2) ) ).
cnf(i_0_43_008,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_44_009,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_45_010,axiom,
( X1 != X2
| ~ organization(X1)
| organization(X2) ) ).
cnf(i_0_46_011,axiom,
( X1 != X2
| ~ greater_or_equal(X1,X3)
| greater_or_equal(X2,X3) ) ).
cnf(i_0_47_012,axiom,
( X1 != X2
| ~ greater_or_equal(X3,X1)
| greater_or_equal(X3,X2) ) ).
cnf(i_0_48_013,axiom,
( X1 != X2
| ~ smaller(X1,X3)
| smaller(X2,X3) ) ).
cnf(i_0_49_014,axiom,
( X1 != X2
| ~ smaller(X3,X1)
| smaller(X3,X2) ) ).
cnf(i_0_50_015,axiom,
( X1 != X2
| ~ smaller_or_equal(X1,X3)
| smaller_or_equal(X2,X3) ) ).
cnf(i_0_51_016,axiom,
( X1 != X2
| ~ smaller_or_equal(X3,X1)
| smaller_or_equal(X3,X2) ) ).
cnf(i_0_52,plain,
( ~ organization(X1)
| position(X1,X2) = position(X1,X2) ),
inference(equality_inference,[],[22]) ).
cnf(i_0_53,plain,
greater_or_equal(X1,X1),
inference(equality_inference,[],[33]) ).
cnf(i_0_54,plain,
smaller_or_equal(X1,X1),
inference(equality_inference,[],[34]) ).
cnf(i_0_55,plain,
~ greater(age(esk1_0,esk2_0),age(esk1_0,esk3_0)),
inference(scs_inference,[],[i_0_24,i_0_25]) ).
cnf(i_0_56,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_57,plain,
greater_or_equal(age(esk1_0,esk3_0),age(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_24,i_0_25,i_0_29]) ).
cnf(i_0_58,plain,
( ~ greater(X1,X2)
| greater_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_59,plain,
smaller(age(esk1_0,esk2_0),age(esk1_0,esk3_0)),
inference(scs_inference,[],[i_0_24,i_0_25,i_0_29,i_0_30]) ).
cnf(i_0_60,plain,
( ~ greater(X1,X2)
| smaller(X2,X1) ),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_61,plain,
smaller_or_equal(age(esk1_0,esk2_0),age(esk1_0,esk3_0)),
inference(scs_inference,[],[i_0_24,i_0_25,i_0_29,i_0_30,i_0_31]) ).
cnf(i_0_62,plain,
( ~ smaller(X1,X2)
| smaller_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_31]) ).
cnf(i_0_63,plain,
greater(external_ties(esk1_0,esk3_0),external_ties(esk1_0,esk2_0)),
inference(scs_inference,[],[i_0_35,i_0_24,i_0_25,i_0_29,i_0_30,i_0_31,i_0_20]) ).
cnf(i_0_64,plain,
( ~ greater(age(X1,X2),age(X1,X3))
| greater(external_ties(X1,X2),external_ties(X1,X3))
| ~ organization(X1) ),
inference(rename_variables,[],[i_0_20]) ).
cnf(i_0_65,plain,
$false,
inference(scs_inference,[],[i_0_21,i_0_35,i_0_24,i_0_25,i_0_29,i_0_30,i_0_31,i_0_20,i_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT045+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
% 0.14/0.32 % Computer : n015.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 23:30:17 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 0.27/1.61 % Version : CSE_E---1.7
% 0.27/1.61 % Problem : theBenchmark.p
% 0.27/1.61 % SZS status Theorem for theBenchmark.p
% 0.27/1.61 % SZS output start CNFRefutation
% See solution above
% 0.27/1.65 % Total time : 1.273s
%------------------------------------------------------------------------------