%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT052+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/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 0.26s 1.61s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 32)
% Comments :
%------------------------------------------------------------------------------
fof(background_assumption_1,conjecture,
! [X1,X5] : ~ dissimilar(X1,X5,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',background_assumption_1) ).
fof(definition_2,axiom,
! [X1,X4,X5] :
( dissimilar(X1,X4,X5)
<=> ( organization(X1)
& ~ ( is_aligned(X1,X4)
<=> is_aligned(X1,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(meaning_postulate_greater_transitive,axiom,
! [X1,X2,X3] :
( ( greater(X1,X2)
& greater(X2,X3) )
=> greater(X1,X3) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(definition_smaller,axiom,
! [X1,X2] :
( smaller(X1,X2)
<=> greater(X2,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_comparable) ).
fof(i_0_8,negated_conjecture,
~ ! [X1,X5] : ~ dissimilar(X1,X5,X5),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[background_assumption_1])]) ).
fof(i_0_9,plain,
! [X37,X38,X39] :
( ( organization(X37)
| ~ dissimilar(X37,X38,X39) )
& ( ~ is_aligned(X37,X38)
| ~ is_aligned(X37,X39)
| ~ dissimilar(X37,X38,X39) )
& ( is_aligned(X37,X38)
| is_aligned(X37,X39)
| ~ dissimilar(X37,X38,X39) )
& ( ~ is_aligned(X37,X38)
| is_aligned(X37,X39)
| ~ organization(X37)
| dissimilar(X37,X38,X39) )
& ( ~ is_aligned(X37,X39)
| is_aligned(X37,X38)
| ~ organization(X37)
| dissimilar(X37,X38,X39) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_2])])]) ).
fof(i_0_10,plain,
! [X32,X33,X34] :
( ~ greater(X32,X33)
| ~ greater(X33,X34)
| greater(X32,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_transitive])]) ).
fof(i_0_11,negated_conjecture,
dissimilar(esk1_0,esk2_0,esk2_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_8])])]) ).
fof(i_0_12,plain,
! [X30,X31] :
( ~ greater(X30,X31)
| ~ greater(X31,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[meaning_postulate_greater_strict])]) ).
fof(i_0_13,plain,
! [X26,X27] :
( ( ~ greater_or_equal(X26,X27)
| greater(X26,X27)
| X26 = X27 )
& ( ~ greater(X26,X27)
| greater_or_equal(X26,X27) )
& ( X26 != X27
| greater_or_equal(X26,X27) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_greater_or_equal])])]) ).
fof(i_0_14,plain,
! [X24,X25] :
( ( ~ smaller_or_equal(X24,X25)
| smaller(X24,X25)
| X24 = X25 )
& ( ~ smaller(X24,X25)
| smaller_or_equal(X24,X25) )
& ( X24 != X25
| smaller_or_equal(X24,X25) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller_or_equal])])]) ).
fof(i_0_15,plain,
! [X28,X29] :
( ( ~ smaller(X28,X29)
| greater(X29,X28) )
& ( ~ greater(X29,X28)
| smaller(X28,X29) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_smaller])]) ).
fof(i_0_16,plain,
! [X35,X36] :
( smaller(X35,X36)
| X35 = X36
| greater(X35,X36) ),
inference(variable_rename,[status(thm)],[meaning_postulate_greater_comparable]) ).
cnf(i_0_17,plain,
( ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_9]),
[final] ).
cnf(i_0_18,plain,
( is_aligned(X1,X2)
| is_aligned(X1,X3)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_9]),
[final] ).
cnf(i_0_19,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[i_0_9]),
[final] ).
cnf(i_0_20,plain,
( is_aligned(X1,X3)
| dissimilar(X1,X3,X2)
| ~ is_aligned(X1,X2)
| ~ organization(X1) ),
inference(split_conjunct,[status(thm)],[i_0_9]),
[final] ).
cnf(i_0_21,plain,
( organization(X1)
| ~ dissimilar(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_9]),
[final] ).
cnf(i_0_22,plain,
( greater(X1,X3)
| ~ greater(X1,X2)
| ~ greater(X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_23,negated_conjecture,
dissimilar(esk1_0,esk2_0,esk2_0),
inference(split_conjunct,[status(thm)],[i_0_11]),
[final] ).
cnf(i_0_24,plain,
( ~ greater(X1,X2)
| ~ greater(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_12]),
[final] ).
cnf(i_0_25,plain,
( greater(X1,X2)
| X1 = X2
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_26,plain,
( smaller(X1,X2)
| X1 = X2
| ~ smaller_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_27,plain,
( greater(X2,X1)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_28,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_29,plain,
( smaller(X2,X1)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_15]),
[final] ).
cnf(i_0_30,plain,
( smaller_or_equal(X1,X2)
| ~ smaller(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[final] ).
cnf(i_0_31,plain,
( smaller(X1,X2)
| X1 = X2
| greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_16]),
[final] ).
cnf(i_0_32,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_13]),
[final] ).
cnf(i_0_33,plain,
( smaller_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[i_0_14]),
[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
| ~ is_aligned(X1,X3)
| is_aligned(X2,X3) ) ).
cnf(i_0_38,axiom,
( X1 != X2
| ~ is_aligned(X3,X1)
| is_aligned(X3,X2) ) ).
cnf(i_0_39,axiom,
( X1 != X2
| ~ dissimilar(X1,X3,X4)
| dissimilar(X2,X3,X4) ) ).
cnf(i_0_40,axiom,
( X1 != X2
| ~ dissimilar(X3,X1,X4)
| dissimilar(X3,X2,X4) ) ).
cnf(i_0_41,axiom,
( X1 != X2
| ~ dissimilar(X3,X4,X1)
| dissimilar(X3,X4,X2) ) ).
cnf(i_0_42,axiom,
( X1 != X2
| ~ organization(X1)
| organization(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
| ~ greater_or_equal(X1,X3)
| greater_or_equal(X2,X3) ) ).
cnf(i_0_46,axiom,
( X1 != X2
| ~ greater_or_equal(X3,X1)
| greater_or_equal(X3,X2) ) ).
cnf(i_0_47,axiom,
( X1 != X2
| ~ smaller(X1,X3)
| smaller(X2,X3) ) ).
cnf(i_0_48,axiom,
( X1 != X2
| ~ smaller(X3,X1)
| smaller(X3,X2) ) ).
cnf(i_0_49,axiom,
( X1 != X2
| ~ smaller_or_equal(X1,X3)
| smaller_or_equal(X2,X3) ) ).
cnf(i_0_50,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
| ~ is_aligned(X1,X3)
| is_aligned(X2,X3) ) ).
cnf(i_0_38_005,axiom,
( X1 != X2
| ~ is_aligned(X3,X1)
| is_aligned(X3,X2) ) ).
cnf(i_0_39_006,axiom,
( X1 != X2
| ~ dissimilar(X1,X3,X4)
| dissimilar(X2,X3,X4) ) ).
cnf(i_0_40_007,axiom,
( X1 != X2
| ~ dissimilar(X3,X1,X4)
| dissimilar(X3,X2,X4) ) ).
cnf(i_0_41_008,axiom,
( X1 != X2
| ~ dissimilar(X3,X4,X1)
| dissimilar(X3,X4,X2) ) ).
cnf(i_0_42_009,axiom,
( X1 != X2
| ~ organization(X1)
| organization(X2) ) ).
cnf(i_0_43_010,axiom,
( X1 != X2
| ~ greater(X1,X3)
| greater(X2,X3) ) ).
cnf(i_0_44_011,axiom,
( X1 != X2
| ~ greater(X3,X1)
| greater(X3,X2) ) ).
cnf(i_0_45_012,axiom,
( X1 != X2
| ~ greater_or_equal(X1,X3)
| greater_or_equal(X2,X3) ) ).
cnf(i_0_46_013,axiom,
( X1 != X2
| ~ greater_or_equal(X3,X1)
| greater_or_equal(X3,X2) ) ).
cnf(i_0_47_014,axiom,
( X1 != X2
| ~ smaller(X1,X3)
| smaller(X2,X3) ) ).
cnf(i_0_48_015,axiom,
( X1 != X2
| ~ smaller(X3,X1)
| smaller(X3,X2) ) ).
cnf(i_0_49_016,axiom,
( X1 != X2
| ~ smaller_or_equal(X1,X3)
| smaller_or_equal(X2,X3) ) ).
cnf(i_0_50_017,axiom,
( X1 != X2
| ~ smaller_or_equal(X3,X1)
| smaller_or_equal(X3,X2) ) ).
cnf(i_0_51,plain,
greater_or_equal(X1,X1),
inference(equality_inference,[],[32]) ).
cnf(i_0_52,plain,
smaller_or_equal(X1,X1),
inference(equality_inference,[],[33]) ).
cnf(i_0_53,plain,
~ is_aligned(esk1_0,esk2_0),
inference(scs_inference,[],[i_0_23,i_0_17]) ).
cnf(i_0_54,plain,
( ~ dissimilar(X1,X2,X3)
| ~ is_aligned(X1,X2)
| ~ is_aligned(X1,X3) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_55,plain,
$false,
inference(scs_inference,[],[i_0_23,i_0_17,i_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT052+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n005.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 23:30:45 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 0.26/1.61 % Version : CSE_E---1.7
% 0.26/1.61 % Problem : theBenchmark.p
% 0.26/1.61 % SZS status Theorem for theBenchmark.p
% 0.26/1.61 % SZS output start CNFRefutation
% See solution above
% 0.26/1.63 % Total time : 1.271s
%------------------------------------------------------------------------------