%------------------------------------------------------------------------------
% 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 : n007.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 : Unsatisfiable 0.27s 1.62s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 20)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_6_30,axiom,
( greater(position(X1,X2),position(X1,X3))
| ~ organization(X1)
| ~ greater(external_ties(X1,X2),external_ties(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_30) ).
cnf(assumption_8_32,axiom,
( greater(external_ties(X1,X2),external_ties(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8_32) ).
cnf(lemma_4_35,negated_conjecture,
~ greater(position(sk1,sk3),position(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4_35) ).
cnf(assumption_6_31,axiom,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1)
| external_ties(X1,X2) != external_ties(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_31) ).
cnf(meaning_postulate_greater_transitive_10,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
cnf(lemma_4_34,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4_34) ).
cnf(meaning_postulate_greater_strict_9,axiom,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).
cnf(definition_greater_or_equal_4,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_4) ).
cnf(definition_smaller_or_equal_1,axiom,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_1) ).
cnf(definition_smaller_7,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
cnf(definition_greater_or_equal_5,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_5) ).
cnf(definition_smaller_8,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_8) ).
cnf(definition_smaller_or_equal_2,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
cnf(meaning_postulate_greater_comparable_11,axiom,
( smaller(X1,X2)
| X1 = X2
| greater(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
cnf(definition_greater_or_equal_6,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).
cnf(definition_smaller_or_equal_3,axiom,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
cnf(lemma_4_33,negated_conjecture,
organization(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_4_33) ).
cnf(i_0_17,axiom,
( greater(position(X1,X2),position(X1,X3))
| ~ organization(X1)
| ~ greater(external_ties(X1,X2),external_ties(X1,X3)) ),
assumption_6_30,
[final] ).
cnf(i_0_18,axiom,
( greater(external_ties(X1,X2),external_ties(X1,X3))
| ~ organization(X1)
| ~ greater(age(X1,X2),age(X1,X3)) ),
assumption_8_32,
[final] ).
cnf(i_0_19,negated_conjecture,
~ greater(position(sk1,sk3),position(sk1,sk2)),
lemma_4_35,
[final] ).
cnf(i_0_20,axiom,
( position(X1,X2) = position(X1,X3)
| ~ organization(X1)
| external_ties(X1,X2) != external_ties(X1,X3) ),
assumption_6_31,
[final] ).
cnf(i_0_21,axiom,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
meaning_postulate_greater_transitive_10,
[final] ).
cnf(i_0_22,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)),
lemma_4_34,
[final] ).
cnf(i_0_23,axiom,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
meaning_postulate_greater_strict_9,
[final] ).
cnf(i_0_24,axiom,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
definition_greater_or_equal_4,
[final] ).
cnf(i_0_25,axiom,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
definition_smaller_or_equal_1,
[final] ).
cnf(i_0_26,axiom,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
definition_smaller_7,
[final] ).
cnf(i_0_27,axiom,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
definition_greater_or_equal_5,
[final] ).
cnf(i_0_28,axiom,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
definition_smaller_8,
[final] ).
cnf(i_0_29,axiom,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
definition_smaller_or_equal_2,
[final] ).
cnf(i_0_30,axiom,
( smaller(X1,X2)
| X1 = X2
| greater(X1,X2) ),
meaning_postulate_greater_comparable_11,
[final] ).
cnf(i_0_31,axiom,
( greater_or_equal(X1,X2)
| X1 != X2 ),
definition_greater_or_equal_6,
[final] ).
cnf(i_0_32,axiom,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
definition_smaller_or_equal_3,
[final] ).
cnf(i_0_33,negated_conjecture,
organization(sk1),
lemma_4_33,
[final] ).
cnf(i_0_34,axiom,
X1 = X1 ).
cnf(i_0_35,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_36,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_37,axiom,
( X1 != X2
| position(X1,X3) = position(X2,X3) ) ).
cnf(i_0_38,axiom,
( X1 != X2
| position(X3,X1) = position(X3,X2) ) ).
cnf(i_0_39,axiom,
( X1 != X2
| external_ties(X1,X3) = external_ties(X2,X3) ) ).
cnf(i_0_40,axiom,
( X1 != X2
| external_ties(X3,X1) = external_ties(X3,X2) ) ).
cnf(i_0_41,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_42,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_43,axiom,
( X1 != X2
| ~ organization(X1)
| organization(X2) ) ).
cnf(i_0_44,axiom,
( X1 != X2
| ~ greater_or_equal(X1,X3)
| greater_or_equal(X2,X3) ) ).
cnf(i_0_45,axiom,
( X1 != X2
| ~ greater_or_equal(X3,X1)
| greater_or_equal(X3,X2) ) ).
cnf(i_0_46,axiom,
( X1 != X2
| ~ smaller(X1,X3)
| smaller(X2,X3) ) ).
cnf(i_0_47,axiom,
( X1 != X2
| ~ smaller(X3,X1)
| smaller(X3,X2) ) ).
cnf(i_0_48,axiom,
( X1 != X2
| ~ smaller_or_equal(X1,X3)
| smaller_or_equal(X2,X3) ) ).
cnf(i_0_49,axiom,
( X1 != X2
| ~ smaller_or_equal(X3,X1)
| smaller_or_equal(X3,X2) ) ).
cnf(i_0_34_001,axiom,
X1 = X1 ).
cnf(i_0_35_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_36_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_37_004,axiom,
( X1 != X2
| position(X1,X3) = position(X2,X3) ) ).
cnf(i_0_38_005,axiom,
( X1 != X2
| position(X3,X1) = position(X3,X2) ) ).
cnf(i_0_39_006,axiom,
( X1 != X2
| external_ties(X1,X3) = external_ties(X2,X3) ) ).
cnf(i_0_40_007,axiom,
( X1 != X2
| external_ties(X3,X1) = external_ties(X3,X2) ) ).
cnf(i_0_41_008,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_42_009,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_43_010,axiom,
( X1 != X2
| ~ organization(X1)
| organization(X2) ) ).
cnf(i_0_44_011,axiom,
( X1 != X2
| ~ greater_or_equal(X1,X3)
| greater_or_equal(X2,X3) ) ).
cnf(i_0_45_012,axiom,
( X1 != X2
| ~ greater_or_equal(X3,X1)
| greater_or_equal(X3,X2) ) ).
cnf(i_0_46_013,axiom,
( X1 != X2
| ~ smaller(X1,X3)
| smaller(X2,X3) ) ).
cnf(i_0_47_014,axiom,
( X1 != X2
| ~ smaller(X3,X1)
| smaller(X3,X2) ) ).
cnf(i_0_48_015,axiom,
( X1 != X2
| ~ smaller_or_equal(X1,X3)
| smaller_or_equal(X2,X3) ) ).
cnf(i_0_49_016,axiom,
( X1 != X2
| ~ smaller_or_equal(X3,X1)
| smaller_or_equal(X3,X2) ) ).
cnf(i_0_50,plain,
( ~ organization(X1)
| position(X1,X2) = position(X1,X2) ),
inference(equality_inference,[],[20]) ).
cnf(i_0_51,plain,
greater_or_equal(X1,X1),
inference(equality_inference,[],[31]) ).
cnf(i_0_52,plain,
smaller_or_equal(X1,X1),
inference(equality_inference,[],[32]) ).
cnf(i_0_53,plain,
~ greater(age(sk1,sk2),age(sk1,sk3)),
inference(scs_inference,[],[i_0_22,i_0_23]) ).
cnf(i_0_54,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_55,plain,
greater_or_equal(age(sk1,sk3),age(sk1,sk2)),
inference(scs_inference,[],[i_0_22,i_0_23,i_0_27]) ).
cnf(i_0_56,plain,
( ~ greater(X1,X2)
| greater_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_57,plain,
smaller(age(sk1,sk2),age(sk1,sk3)),
inference(scs_inference,[],[i_0_22,i_0_23,i_0_27,i_0_28]) ).
cnf(i_0_58,plain,
( ~ greater(X1,X2)
| smaller(X2,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_59,plain,
smaller_or_equal(age(sk1,sk2),age(sk1,sk3)),
inference(scs_inference,[],[i_0_22,i_0_23,i_0_27,i_0_28,i_0_29]) ).
cnf(i_0_60,plain,
( ~ smaller(X1,X2)
| smaller_or_equal(X1,X2) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_61,plain,
greater(external_ties(sk1,sk3),external_ties(sk1,sk2)),
inference(scs_inference,[],[i_0_33,i_0_22,i_0_23,i_0_27,i_0_28,i_0_29,i_0_18]) ).
cnf(i_0_62,plain,
( ~ greater(age(X1,X2),age(X1,X3))
| greater(external_ties(X1,X2),external_ties(X1,X3))
| ~ organization(X1) ),
inference(rename_variables,[],[i_0_18]) ).
cnf(i_0_63,plain,
$false,
inference(scs_inference,[],[i_0_19,i_0_33,i_0_22,i_0_23,i_0_27,i_0_28,i_0_29,i_0_18,i_0_17]),
[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
% 0.16/0.33 % Computer : n007.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 23:29:39 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.27/1.62 % Version : CSE_E---1.7
% 0.27/1.62 % Problem : theBenchmark.p
% 0.27/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 0.27/1.62 % SZS output start CNFRefutation
% See solution above
% 0.27/1.65 % Total time : 1.273s
%------------------------------------------------------------------------------