↑ Up

CSE_E---1.7.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : LAT017-1 : TPTP v9.2.1. Bugfixed v2.2.1.
% 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 : n018.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 04:37:21 PM UTC 2026

% Result   : Unsatisfiable 164.48s 88.92s
% Output   : CNFRefutation 165.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_12)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_e2,negated_conjecture,
    join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_e2) ).

cnf(meet_complement,axiom,
    meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',meet_complement) ).

cnf(associativity_of_meet,axiom,
    meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',associativity_of_meet) ).

cnf(absorption2,axiom,
    join(X1,meet(X1,X2)) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',absorption2) ).

cnf(commutativity_of_meet,axiom,
    meet(X1,X2) = meet(X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',commutativity_of_meet) ).

cnf(bottom,axiom,
    meet(complement(X1),X1) = n0,
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',bottom) ).

cnf(associativity_of_join,axiom,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',associativity_of_join) ).

cnf(join_complement,axiom,
    join(X1,join(X2,complement(X2))) = join(X2,complement(X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',join_complement) ).

cnf(commutativity_of_join,axiom,
    join(X1,X2) = join(X2,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',commutativity_of_join) ).

cnf(top,axiom,
    join(complement(X1),X1) = n1,
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',top) ).

cnf(complement_involution,axiom,
    complement(complement(X1)) = X1,
    file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',complement_involution) ).

cnf(i_0_11,negated_conjecture,
    join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
    prove_e2 ).

cnf(i_0_12,axiom,
    meet(X1,X2) = complement(join(complement(X1),complement(X2))),
    meet_complement ).

cnf(i_0_13,axiom,
    meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
    associativity_of_meet ).

cnf(i_0_14,axiom,
    join(X1,meet(X1,X2)) = X1,
    absorption2 ).

cnf(i_0_15,axiom,
    meet(X1,X2) = meet(X2,X1),
    commutativity_of_meet ).

cnf(i_0_16,axiom,
    meet(complement(X1),X1) = n0,
    bottom ).

cnf(i_0_17,negated_conjecture,
    join(a,join(complement(join(complement(complement(a)),complement(complement(join(complement(join(a,complement(b))),complement(join(a,b))))))),complement(join(complement(complement(a)),complement(join(complement(join(complement(complement(a)),complement(b))),complement(join(complement(complement(a)),complement(complement(b)))))))))) != n1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_11,c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),
    [final] ).

cnf(i_0_18,plain,
    complement(join(complement(complement(join(complement(X1),complement(X2)))),complement(X3))) = complement(join(complement(X1),complement(complement(join(complement(X2),complement(X3)))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_13,c_0_12]),c_0_12]),c_0_12]),c_0_12]),
    [final] ).

cnf(i_0_19,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rw,[status(thm)],[i_0_14,c_0_12]),
    [final] ).

cnf(i_0_20,plain,
    complement(join(complement(X1),complement(X2))) = complement(join(complement(X2),complement(X1))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_15,c_0_12]),c_0_12]),
    [final] ).

cnf(i_0_21,axiom,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    associativity_of_join,
    [final] ).

cnf(i_0_22,plain,
    complement(join(complement(complement(X1)),complement(X1))) = n0,
    inference(rw,[status(thm)],[i_0_16,c_0_12]),
    [final] ).

cnf(i_0_23,axiom,
    join(X1,join(X2,complement(X2))) = join(X2,complement(X2)),
    join_complement,
    [final] ).

cnf(i_0_24,axiom,
    join(X1,X2) = join(X2,X1),
    commutativity_of_join,
    [final] ).

cnf(i_0_25,axiom,
    join(complement(X1),X1) = n1,
    top,
    [final] ).

cnf(i_0_26,axiom,
    complement(complement(X1)) = X1,
    complement_involution,
    [final] ).

cnf(i_0_27,axiom,
    X1 = X1 ).

cnf(i_0_28,axiom,
    ( X1 = X2
    | X2 != X1 ) ).

cnf(i_0_29,axiom,
    ( X1 = X2
    | X1 != X3
    | X3 != X2 ) ).

cnf(i_0_30,axiom,
    ( X1 != X2
    | join(X1,X3) = join(X2,X3) ) ).

cnf(i_0_31,axiom,
    ( X1 != X2
    | join(X3,X1) = join(X3,X2) ) ).

cnf(i_0_32,axiom,
    ( X1 != X2
    | complement(X1) = complement(X2) ) ).

cnf(i_0_33,plain,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    inference(scs_inference,[],[i_0_21,i_0_28]) ).

cnf(i_0_34,plain,
    join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
    inference(scs_inference,[],[i_0_24,i_0_21,i_0_28,i_0_29]) ).

cnf(i_0_35,plain,
    join(join(X1,X2),X3) = join(X1,join(X2,X3)),
    inference(rename_variables,[],[i_0_21]) ).

cnf(i_0_36,plain,
    join(X1,X2) = join(X2,X1),
    inference(rename_variables,[],[i_0_24]) ).

cnf(i_0_39,plain,
    join(X1,join(X2,complement(X2))) = join(X2,complement(X2)),
    inference(rename_variables,[],[i_0_23]) ).

cnf(i_0_76,plain,
    X1 = complement(complement(X1)),
    inference(scs_inference,[],[i_0_26,i_0_28]) ).

cnf(i_0_93,plain,
    n1 = join(complement(X1),X1),
    inference(scs_inference,[],[i_0_25,i_0_28]) ).

cnf(i_0_99,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_119,plain,
    complement(complement(X1)) = X1,
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_252,plain,
    n0 = complement(join(complement(complement(X1)),complement(X1))),
    inference(scs_inference,[],[i_0_22,i_0_28]) ).

cnf(i_0_259,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_264,plain,
    join(X1,complement(X1)) = join(X2,join(X1,complement(X1))),
    inference(scs_inference,[],[i_0_23,i_0_28]) ).

cnf(i_0_268,plain,
    X1 = join(X1,complement(join(complement(X1),complement(X2)))),
    inference(scs_inference,[],[i_0_19,i_0_28]) ).

cnf(i_0_472,plain,
    complement(complement(X1)) = X1,
    inference(rename_variables,[],[i_0_26]) ).

cnf(i_0_746,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_748,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_750,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_753,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_755,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_758,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_760,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_762,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_765,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_767,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_769,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_771,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_773,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_775,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_777,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_779,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_781,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_783,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_785,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_787,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_789,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_791,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_793,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_795,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_798,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_800,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_803,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_805,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_807,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_809,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_811,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_813,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_815,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_817,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_819,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_821,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_823,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_825,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_827,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_829,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_831,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_833,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_835,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_837,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_839,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_841,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_843,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_845,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_847,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_849,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_851,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_853,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_855,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_857,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_860,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_862,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_864,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_866,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_868,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_870,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_872,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_874,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_876,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_878,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_880,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_882,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_884,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_886,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(i_0_888,plain,
    join(X1,complement(join(complement(X1),complement(X2)))) = X1,
    inference(rename_variables,[],[i_0_19]) ).

cnf(c_0_276,plain,
    X1 = join(X1,complement(join(complement(X1),complement(X2)))),
    i_0_268 ).

cnf(c_0_277,plain,
    X1 = complement(complement(X1)),
    i_0_76 ).

cnf(c_0_278,plain,
    join(X1,join(X2,X3)) = join(join(X1,X2),X3),
    i_0_33 ).

cnf(c_0_279,plain,
    join(X1,X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_276]),c_0_277]) ).

cnf(c_0_280,plain,
    join(X1,join(X1,X2)) = join(X1,X2),
    inference(spm,[status(thm)],[c_0_278,c_0_279]) ).

cnf(c_0_281,axiom,
    join(X1,X2) = join(X2,X1),
    i_0_24 ).

cnf(c_0_282,plain,
    join(X1,complement(join(complement(X1),X2))) = X1,
    inference(spm,[status(thm)],[c_0_276,c_0_277]) ).

cnf(c_0_283,plain,
    join(X1,join(X2,X1)) = join(X2,X1),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

cnf(c_0_284,plain,
    join(X1,complement(join(X2,complement(X1)))) = X1,
    inference(spm,[status(thm)],[c_0_282,c_0_283]) ).

cnf(c_0_285,plain,
    n1 = join(complement(X1),X1),
    i_0_93 ).

cnf(c_0_286,negated_conjecture,
    join(a,join(complement(join(complement(complement(a)),complement(complement(join(complement(join(a,complement(b))),complement(join(a,b))))))),complement(join(complement(complement(a)),complement(join(complement(join(complement(complement(a)),complement(b))),complement(join(complement(complement(a)),complement(complement(b)))))))))) != n1,
    i_0_17 ).

cnf(c_0_287,plain,
    join(complement(X1),complement(join(X2,X1))) = complement(X1),
    inference(spm,[status(thm)],[c_0_284,c_0_277]) ).

cnf(c_0_288,plain,
    join(X1,join(complement(join(complement(X1),X2)),X3)) = join(X1,X3),
    inference(spm,[status(thm)],[c_0_278,c_0_282]) ).

cnf(c_0_289,plain,
    join(X1,complement(X1)) = n1,
    inference(rw,[status(thm)],[c_0_285,c_0_281]) ).

cnf(c_0_290,negated_conjecture,
    join(a,join(complement(join(a,join(complement(join(a,complement(b))),complement(join(a,b))))),complement(join(a,complement(join(complement(join(a,complement(b))),complement(join(a,b)))))))) != n1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_286,c_0_277]),c_0_277]),c_0_277]),c_0_277]),c_0_277]),c_0_277]) ).

cnf(c_0_291,plain,
    join(complement(join(X1,X2)),complement(join(complement(join(complement(X1),X3)),X2))) = complement(join(complement(join(complement(X1),X3)),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_288]),c_0_281]) ).

cnf(c_0_292,plain,
    join(complement(X1),complement(join(X1,X2))) = complement(X1),
    inference(spm,[status(thm)],[c_0_282,c_0_277]) ).

cnf(c_0_293,plain,
    join(X1,join(X2,complement(join(X1,X2)))) = n1,
    inference(spm,[status(thm)],[c_0_289,c_0_278]) ).

cnf(c_0_294,negated_conjecture,
    join(a,join(complement(join(a,join(complement(join(a,b)),complement(join(a,complement(b)))))),complement(join(a,complement(join(complement(join(a,b)),complement(join(a,complement(b))))))))) != n1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_290,c_0_281]),c_0_281]) ).

cnf(c_0_295,plain,
    join(X1,complement(join(complement(join(X1,X2)),complement(join(X1,X3))))) = complement(join(complement(join(X1,X2)),complement(join(X1,X3)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_292]),c_0_277]),c_0_277]),c_0_277]) ).

cnf(c_0_296,plain,
    join(X1,join(X2,X3)) = join(X2,join(X3,X1)),
    i_0_34 ).

cnf(c_0_297,plain,
    join(X1,join(X2,join(X3,complement(join(X1,join(X2,X3)))))) = n1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_293]),c_0_278]) ).

cnf(c_0_298,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_295]),c_0_277]),c_0_296]),c_0_297])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT017-1 : TPTP v9.2.1. Bugfixed v2.2.1.
% 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 : n018.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 20:46:47 EDT 2026
% 0.16/0.34  % CPUTime    : 
% 0.16/0.35  % start to proof: theBenchmark
% 164.48/88.92  % Version  : CSE_E---1.7
% 164.48/88.92  % Problem  : theBenchmark.p
% 164.48/88.92  % SZS status Unsatisfiable for theBenchmark.p
% 164.48/88.92  % SZS output start CNFRefutation
% See solution above
% 165.60/90.04  % Total time : 87.165s
%------------------------------------------------------------------------------