TSTP Solution File: REL006-1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 : Fri May  3 02:56:33 EDT 2024

% Result   : Unsatisfiable 35.34s 5.10s
% Output   : CNFRefutation 35.34s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    meet(converse(sk1),sk2) = zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).

cnf(c_50,negated_conjecture,
    meet(sk1,converse(sk2)) != zero,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).

cnf(c_51,plain,
    join(X0,X1) = join(X1,X0),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux1_join_commutativity_1) ).

cnf(c_52,plain,
    join(join(X0,X1),X2) = join(X0,join(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux2_join_associativity_2) ).

cnf(c_53,plain,
    join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux3_a_kind_of_de_Morgan_3) ).

cnf(c_54,plain,
    complement(join(complement(X0),complement(X1))) = meet(X0,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',maddux4_definiton_of_meet_4) ).

cnf(c_55,plain,
    composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_associativity_5) ).

cnf(c_56,plain,
    composition(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',composition_identity_6) ).

cnf(c_58,plain,
    converse(converse(X0)) = X0,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).

cnf(c_59,plain,
    join(converse(X0),converse(X1)) = converse(join(X0,X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).

cnf(c_60,plain,
    composition(converse(X0),converse(X1)) = converse(composition(X1,X0)),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).

cnf(c_61,plain,
    join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',converse_cancellativity_11) ).

cnf(c_62,plain,
    join(X0,complement(X0)) = top,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_top_12) ).

cnf(c_63,plain,
    meet(X0,complement(X0)) = zero,
    file('/export/starexec/sandbox/benchmark/Axioms/REL001-0.ax',def_zero_13) ).

cnf(c_77,plain,
    join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_53,c_52,c_51]) ).

cnf(c_78,plain,
    join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(theory_normalisation,[status(thm)],[c_61,c_52,c_51]) ).

cnf(c_111,plain,
    join(complement(join(complement(X0),X1)),meet(X0,X1)) = X0,
    inference(light_normalisation,[status(thm)],[c_77,c_54]) ).

cnf(c_112,plain,
    join(meet(X0,X1),complement(join(complement(X0),X1))) = X0,
    inference(theory_normalisation,[status(thm)],[c_111,c_52,c_51]) ).

cnf(c_121,plain,
    converse(sk2) = sP0_iProver_def,
    definition ).

cnf(c_122,plain,
    meet(sk1,sP0_iProver_def) = sP1_iProver_def,
    definition ).

cnf(c_123,plain,
    converse(sk1) = sP2_iProver_def,
    definition ).

cnf(c_124,plain,
    meet(sP2_iProver_def,sk2) = sP3_iProver_def,
    definition ).

cnf(c_125,negated_conjecture,
    sP1_iProver_def != zero,
    inference(demodulation,[status(thm)],[c_50,c_121,c_122]) ).

cnf(c_126,negated_conjecture,
    sP3_iProver_def = zero,
    inference(demodulation,[status(thm)],[c_49,c_123,c_124]) ).

cnf(c_214,plain,
    sP1_iProver_def != sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_125,c_126]) ).

cnf(c_216,plain,
    converse(sP0_iProver_def) = sk2,
    inference(superposition,[status(thm)],[c_121,c_58]) ).

cnf(c_231,plain,
    meet(X0,complement(X0)) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_63,c_126]) ).

cnf(c_232,plain,
    complement(join(complement(X0),complement(X1))) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_51,c_54]) ).

cnf(c_234,plain,
    meet(X0,complement(X0)) = complement(top),
    inference(superposition,[status(thm)],[c_62,c_54]) ).

cnf(c_237,plain,
    meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
    inference(superposition,[status(thm)],[c_54,c_54]) ).

cnf(c_239,plain,
    join(join(complement(X0),complement(X1)),meet(X0,X1)) = top,
    inference(superposition,[status(thm)],[c_54,c_62]) ).

cnf(c_242,plain,
    complement(top) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_234,c_231]) ).

cnf(c_243,plain,
    join(complement(X0),join(complement(X1),meet(X0,X1))) = top,
    inference(theory_normalisation,[status(thm)],[c_239,c_52,c_51]) ).

cnf(c_249,plain,
    complement(join(sP3_iProver_def,complement(X0))) = meet(top,X0),
    inference(superposition,[status(thm)],[c_242,c_54]) ).

cnf(c_252,plain,
    join(sP3_iProver_def,composition(converse(X0),complement(composition(X0,top)))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_242,c_78]) ).

cnf(c_253,plain,
    complement(join(complement(X0),sP3_iProver_def)) = meet(X0,top),
    inference(superposition,[status(thm)],[c_242,c_54]) ).

cnf(c_255,plain,
    complement(join(sP3_iProver_def,complement(X0))) = meet(X0,top),
    inference(theory_normalisation,[status(thm)],[c_253,c_52,c_51]) ).

cnf(c_265,plain,
    meet(join(sP3_iProver_def,complement(X0)),meet(top,X0)) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_249,c_231]) ).

cnf(c_331,plain,
    join(sP1_iProver_def,complement(join(complement(sk1),sP0_iProver_def))) = sk1,
    inference(superposition,[status(thm)],[c_122,c_112]) ).

cnf(c_334,plain,
    join(sP3_iProver_def,complement(join(complement(join(sP3_iProver_def,complement(X0))),meet(top,X0)))) = join(sP3_iProver_def,complement(X0)),
    inference(superposition,[status(thm)],[c_265,c_112]) ).

cnf(c_338,plain,
    join(meet(X0,X1),complement(join(X1,complement(X0)))) = X0,
    inference(superposition,[status(thm)],[c_51,c_112]) ).

cnf(c_349,plain,
    join(sP1_iProver_def,complement(join(sP0_iProver_def,complement(sk1)))) = sk1,
    inference(theory_normalisation,[status(thm)],[c_331,c_52,c_51]) ).

cnf(c_356,plain,
    join(sP3_iProver_def,complement(join(meet(top,X0),complement(join(sP3_iProver_def,complement(X0)))))) = join(sP3_iProver_def,complement(X0)),
    inference(theory_normalisation,[status(thm)],[c_334,c_52,c_51]) ).

cnf(c_357,plain,
    join(sP3_iProver_def,complement(join(meet(top,X0),meet(top,X0)))) = join(sP3_iProver_def,complement(X0)),
    inference(light_normalisation,[status(thm)],[c_356,c_249]) ).

cnf(c_387,plain,
    converse(join(sP0_iProver_def,X0)) = join(sk2,converse(X0)),
    inference(superposition,[status(thm)],[c_216,c_59]) ).

cnf(c_388,plain,
    converse(join(X0,sk1)) = join(converse(X0),sP2_iProver_def),
    inference(superposition,[status(thm)],[c_123,c_59]) ).

cnf(c_390,plain,
    converse(join(X0,converse(X1))) = join(converse(X0),X1),
    inference(superposition,[status(thm)],[c_58,c_59]) ).

cnf(c_398,plain,
    converse(join(X0,sk1)) = join(sP2_iProver_def,converse(X0)),
    inference(theory_normalisation,[status(thm)],[c_388,c_52,c_51]) ).

cnf(c_426,plain,
    converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(superposition,[status(thm)],[c_58,c_60]) ).

cnf(c_457,plain,
    join(X0,join(complement(X0),X1)) = join(top,X1),
    inference(superposition,[status(thm)],[c_62,c_52]) ).

cnf(c_461,plain,
    join(X0,join(X1,complement(join(X0,X1)))) = top,
    inference(superposition,[status(thm)],[c_52,c_62]) ).

cnf(c_486,plain,
    composition(X0,composition(one,X1)) = composition(X0,X1),
    inference(superposition,[status(thm)],[c_56,c_55]) ).

cnf(c_2409,plain,
    meet(X0,X1) = meet(X1,X0),
    inference(superposition,[status(thm)],[c_232,c_54]) ).

cnf(c_2416,plain,
    meet(sP0_iProver_def,sk1) = sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_122,c_2409]) ).

cnf(c_2521,plain,
    join(sP1_iProver_def,complement(join(complement(sP0_iProver_def),sk1))) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_2416,c_112]) ).

cnf(c_2522,plain,
    join(sP1_iProver_def,complement(join(sk1,complement(sP0_iProver_def)))) = sP0_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_2521,c_52,c_51]) ).

cnf(c_4305,plain,
    join(meet(X0,join(complement(X1),meet(X0,X1))),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_243,c_112]) ).

cnf(c_4313,plain,
    join(complement(top),meet(X0,join(complement(X1),meet(X0,X1)))) = X0,
    inference(theory_normalisation,[status(thm)],[c_4305,c_52,c_51]) ).

cnf(c_4314,plain,
    join(sP3_iProver_def,meet(X0,join(complement(X1),meet(X0,X1)))) = X0,
    inference(light_normalisation,[status(thm)],[c_4313,c_242]) ).

cnf(c_5483,plain,
    composition(converse(one),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_56,c_426]) ).

cnf(c_5539,plain,
    composition(converse(one),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_5483,c_58]) ).

cnf(c_5626,plain,
    converse(one) = one,
    inference(superposition,[status(thm)],[c_5539,c_56]) ).

cnf(c_5644,plain,
    composition(converse(one),X0) = composition(one,X0),
    inference(superposition,[status(thm)],[c_5539,c_486]) ).

cnf(c_5647,plain,
    composition(one,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_5644,c_5539]) ).

cnf(c_5878,plain,
    join(sP3_iProver_def,composition(converse(one),complement(top))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_5647,c_252]) ).

cnf(c_5889,plain,
    join(sP3_iProver_def,composition(one,sP3_iProver_def)) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_5878,c_242,c_5626]) ).

cnf(c_5923,plain,
    join(sP3_iProver_def,sP3_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_5889,c_5647]) ).

cnf(c_5933,plain,
    join(sP3_iProver_def,join(sP3_iProver_def,X0)) = join(sP3_iProver_def,X0),
    inference(superposition,[status(thm)],[c_5923,c_52]) ).

cnf(c_6879,plain,
    join(sP3_iProver_def,X0) = X0,
    inference(superposition,[status(thm)],[c_4314,c_5933]) ).

cnf(c_6889,plain,
    meet(X0,top) = complement(complement(X0)),
    inference(demodulation,[status(thm)],[c_255,c_6879]) ).

cnf(c_6890,plain,
    meet(top,X0) = complement(complement(X0)),
    inference(demodulation,[status(thm)],[c_249,c_6879]) ).

cnf(c_6994,plain,
    join(X0,sP3_iProver_def) = X0,
    inference(superposition,[status(thm)],[c_6879,c_51]) ).

cnf(c_6996,plain,
    complement(sP3_iProver_def) = top,
    inference(superposition,[status(thm)],[c_6879,c_62]) ).

cnf(c_6997,plain,
    join(converse(sP3_iProver_def),X0) = converse(converse(X0)),
    inference(superposition,[status(thm)],[c_6879,c_390]) ).

cnf(c_7009,plain,
    join(converse(sP3_iProver_def),X0) = X0,
    inference(light_normalisation,[status(thm)],[c_6997,c_58]) ).

cnf(c_7022,plain,
    join(meet(sP3_iProver_def,X0),complement(join(top,X0))) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_6996,c_112]) ).

cnf(c_7281,plain,
    join(X0,join(X1,complement(X0))) = join(top,X1),
    inference(superposition,[status(thm)],[c_51,c_457]) ).

cnf(c_7420,plain,
    join(meet(X0,join(X1,complement(join(complement(X0),X1)))),complement(top)) = X0,
    inference(superposition,[status(thm)],[c_461,c_112]) ).

cnf(c_7454,plain,
    join(complement(top),meet(X0,join(X1,complement(join(complement(X0),X1))))) = X0,
    inference(theory_normalisation,[status(thm)],[c_7420,c_52,c_51]) ).

cnf(c_7455,plain,
    join(sP3_iProver_def,meet(X0,join(X1,complement(join(complement(X0),X1))))) = X0,
    inference(light_normalisation,[status(thm)],[c_7454,c_242]) ).

cnf(c_7562,plain,
    meet(X0,join(X1,complement(join(complement(X0),X1)))) = X0,
    inference(demodulation,[status(thm)],[c_7455,c_6879]) ).

cnf(c_7709,plain,
    converse(sP3_iProver_def) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_7009,c_6994]) ).

cnf(c_8132,plain,
    complement(join(meet(X0,X1),complement(top))) = complement(complement(join(complement(X0),complement(X1)))),
    inference(superposition,[status(thm)],[c_6889,c_237]) ).

cnf(c_8142,plain,
    complement(join(complement(top),meet(X0,X1))) = complement(complement(join(complement(X0),complement(X1)))),
    inference(theory_normalisation,[status(thm)],[c_8132,c_52,c_51]) ).

cnf(c_8143,plain,
    complement(join(sP3_iProver_def,meet(X0,X1))) = complement(meet(X1,X0)),
    inference(light_normalisation,[status(thm)],[c_8142,c_232,c_242]) ).

cnf(c_9321,plain,
    join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
    inference(superposition,[status(thm)],[c_112,c_7281]) ).

cnf(c_9362,plain,
    join(X0,join(X1,complement(X0))) = join(top,meet(X0,X1)),
    inference(theory_normalisation,[status(thm)],[c_9321,c_52,c_51]) ).

cnf(c_9363,plain,
    join(top,meet(X0,X1)) = join(top,X1),
    inference(light_normalisation,[status(thm)],[c_9362,c_7281]) ).

cnf(c_9478,plain,
    join(top,complement(X0)) = join(top,sP3_iProver_def),
    inference(superposition,[status(thm)],[c_231,c_9363]) ).

cnf(c_9499,plain,
    join(top,complement(X0)) = join(sP3_iProver_def,top),
    inference(theory_normalisation,[status(thm)],[c_9478,c_52,c_51]) ).

cnf(c_9570,plain,
    join(top,complement(X0)) = top,
    inference(demodulation,[status(thm)],[c_9499,c_6879]) ).

cnf(c_9571,plain,
    join(top,meet(X0,X1)) = top,
    inference(superposition,[status(thm)],[c_232,c_9570]) ).

cnf(c_9579,plain,
    join(X0,top) = top,
    inference(superposition,[status(thm)],[c_9570,c_461]) ).

cnf(c_9581,plain,
    meet(X0,top) = X0,
    inference(superposition,[status(thm)],[c_9570,c_7562]) ).

cnf(c_9589,plain,
    join(top,X0) = top,
    inference(demodulation,[status(thm)],[c_9363,c_9571]) ).

cnf(c_9590,plain,
    join(meet(sP3_iProver_def,X0),complement(top)) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_7022,c_9589]) ).

cnf(c_9593,plain,
    join(complement(top),meet(sP3_iProver_def,X0)) = sP3_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_9590,c_52,c_51]) ).

cnf(c_9594,plain,
    join(sP3_iProver_def,meet(sP3_iProver_def,X0)) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_9593,c_242]) ).

cnf(c_9595,plain,
    complement(complement(X0)) = X0,
    inference(demodulation,[status(thm)],[c_6889,c_9581]) ).

cnf(c_9597,plain,
    meet(top,X0) = X0,
    inference(demodulation,[status(thm)],[c_6890,c_9595]) ).

cnf(c_9608,plain,
    meet(sP3_iProver_def,X0) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_9594,c_6879]) ).

cnf(c_9724,plain,
    complement(join(meet(X0,X1),complement(top))) = join(complement(X0),complement(X1)),
    inference(superposition,[status(thm)],[c_9581,c_237]) ).

cnf(c_9730,plain,
    complement(join(complement(top),meet(X0,X1))) = join(complement(X0),complement(X1)),
    inference(theory_normalisation,[status(thm)],[c_9724,c_52,c_51]) ).

cnf(c_9731,plain,
    join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
    inference(light_normalisation,[status(thm)],[c_9730,c_242,c_8143]) ).

cnf(c_9838,plain,
    join(complement(X0),join(complement(X1),X2)) = join(complement(meet(X1,X0)),X2),
    inference(superposition,[status(thm)],[c_9731,c_52]) ).

cnf(c_9839,plain,
    join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
    inference(superposition,[status(thm)],[c_9731,c_51]) ).

cnf(c_10751,plain,
    join(sP3_iProver_def,complement(join(X0,X0))) = join(sP3_iProver_def,complement(X0)),
    inference(light_normalisation,[status(thm)],[c_357,c_9597]) ).

cnf(c_10752,plain,
    complement(join(X0,X0)) = complement(X0),
    inference(demodulation,[status(thm)],[c_10751,c_6879]) ).

cnf(c_10761,plain,
    join(X0,X0) = complement(complement(X0)),
    inference(superposition,[status(thm)],[c_10752,c_9595]) ).

cnf(c_10783,plain,
    join(X0,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_10761,c_9595]) ).

cnf(c_10851,plain,
    join(X0,join(X0,X1)) = join(X0,X1),
    inference(superposition,[status(thm)],[c_10783,c_52]) ).

cnf(c_11020,plain,
    join(sP1_iProver_def,sk1) = sk1,
    inference(superposition,[status(thm)],[c_349,c_10851]) ).

cnf(c_11033,plain,
    join(sP1_iProver_def,sP0_iProver_def) = sP0_iProver_def,
    inference(superposition,[status(thm)],[c_2522,c_10851]) ).

cnf(c_11052,plain,
    join(sP0_iProver_def,sP1_iProver_def) = sP0_iProver_def,
    inference(theory_normalisation,[status(thm)],[c_11033,c_52,c_51]) ).

cnf(c_11090,plain,
    join(sP2_iProver_def,converse(sP1_iProver_def)) = converse(sk1),
    inference(superposition,[status(thm)],[c_11020,c_398]) ).

cnf(c_11091,plain,
    join(sP2_iProver_def,converse(sP1_iProver_def)) = sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_11090,c_123]) ).

cnf(c_11100,plain,
    join(sk2,converse(sP1_iProver_def)) = converse(sP0_iProver_def),
    inference(superposition,[status(thm)],[c_11052,c_387]) ).

cnf(c_11101,plain,
    join(sk2,converse(sP1_iProver_def)) = sk2,
    inference(light_normalisation,[status(thm)],[c_11100,c_216]) ).

cnf(c_11106,plain,
    join(sP2_iProver_def,join(converse(sP1_iProver_def),X0)) = join(sP2_iProver_def,X0),
    inference(superposition,[status(thm)],[c_11091,c_52]) ).

cnf(c_11121,plain,
    join(sk2,join(converse(sP1_iProver_def),X0)) = join(sk2,X0),
    inference(superposition,[status(thm)],[c_11101,c_52]) ).

cnf(c_11407,plain,
    join(sP2_iProver_def,complement(converse(sP1_iProver_def))) = join(sP2_iProver_def,top),
    inference(superposition,[status(thm)],[c_62,c_11106]) ).

cnf(c_11431,plain,
    join(sP2_iProver_def,complement(converse(sP1_iProver_def))) = top,
    inference(demodulation,[status(thm)],[c_11407,c_9579]) ).

cnf(c_11437,plain,
    join(meet(converse(sP1_iProver_def),sP2_iProver_def),complement(top)) = converse(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_11431,c_338]) ).

cnf(c_11440,plain,
    join(complement(top),meet(converse(sP1_iProver_def),sP2_iProver_def)) = converse(sP1_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_11437,c_52,c_51]) ).

cnf(c_11441,plain,
    join(sP3_iProver_def,meet(converse(sP1_iProver_def),sP2_iProver_def)) = converse(sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_11440,c_242]) ).

cnf(c_11453,plain,
    join(sk2,complement(converse(sP1_iProver_def))) = join(sk2,top),
    inference(superposition,[status(thm)],[c_62,c_11121]) ).

cnf(c_11662,plain,
    meet(sP2_iProver_def,converse(sP1_iProver_def)) = converse(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_11441,c_2409,c_6879]) ).

cnf(c_11677,plain,
    join(sk2,complement(converse(sP1_iProver_def))) = top,
    inference(demodulation,[status(thm)],[c_11453,c_9579]) ).

cnf(c_11683,plain,
    join(meet(converse(sP1_iProver_def),sk2),complement(top)) = converse(sP1_iProver_def),
    inference(superposition,[status(thm)],[c_11677,c_338]) ).

cnf(c_11686,plain,
    join(complement(top),meet(converse(sP1_iProver_def),sk2)) = converse(sP1_iProver_def),
    inference(theory_normalisation,[status(thm)],[c_11683,c_52,c_51]) ).

cnf(c_11687,plain,
    join(sP3_iProver_def,meet(converse(sP1_iProver_def),sk2)) = converse(sP1_iProver_def),
    inference(light_normalisation,[status(thm)],[c_11686,c_242]) ).

cnf(c_12074,plain,
    meet(sk2,converse(sP1_iProver_def)) = converse(sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_11687,c_2409,c_6879]) ).

cnf(c_25172,plain,
    join(complement(meet(X0,X1)),complement(X2)) = join(complement(X1),complement(meet(X2,X0))),
    inference(superposition,[status(thm)],[c_9731,c_9838]) ).

cnf(c_28859,plain,
    complement(meet(meet(X0,X1),X2)) = complement(meet(X1,meet(X2,X0))),
    inference(demodulation,[status(thm)],[c_25172,c_9839]) ).

cnf(c_28865,plain,
    complement(meet(X0,meet(X1,X2))) = complement(meet(X1,meet(X2,X0))),
    inference(superposition,[status(thm)],[c_2409,c_28859]) ).

cnf(c_28879,plain,
    complement(meet(sk2,meet(X0,sP2_iProver_def))) = complement(meet(sP3_iProver_def,X0)),
    inference(superposition,[status(thm)],[c_124,c_28859]) ).

cnf(c_28980,plain,
    complement(meet(sk2,meet(X0,sP2_iProver_def))) = top,
    inference(light_normalisation,[status(thm)],[c_28879,c_6996,c_9608]) ).

cnf(c_54551,plain,
    complement(meet(sP2_iProver_def,meet(sk2,X0))) = top,
    inference(demodulation,[status(thm)],[c_28980,c_28865]) ).

cnf(c_54602,plain,
    meet(sP2_iProver_def,meet(sk2,X0)) = complement(top),
    inference(superposition,[status(thm)],[c_54551,c_9595]) ).

cnf(c_54643,plain,
    meet(sP2_iProver_def,meet(sk2,X0)) = sP3_iProver_def,
    inference(light_normalisation,[status(thm)],[c_54602,c_242]) ).

cnf(c_54798,plain,
    meet(sP2_iProver_def,converse(sP1_iProver_def)) = sP3_iProver_def,
    inference(superposition,[status(thm)],[c_12074,c_54643]) ).

cnf(c_54869,plain,
    converse(sP1_iProver_def) = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_11662,c_54798]) ).

cnf(c_56245,plain,
    converse(sP3_iProver_def) = sP1_iProver_def,
    inference(superposition,[status(thm)],[c_54869,c_58]) ).

cnf(c_56289,plain,
    sP1_iProver_def = sP3_iProver_def,
    inference(demodulation,[status(thm)],[c_7709,c_56245]) ).

cnf(c_56290,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_56289,c_214]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n026.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 20:14:51 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.42  Running UEQ theorem proving
% 0.16/0.42  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_24_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 35.34/5.10  % SZS status Started for theBenchmark.p
% 35.34/5.10  % SZS status Unsatisfiable for theBenchmark.p
% 35.34/5.10  
% 35.34/5.10  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 35.34/5.10  
% 35.34/5.10  ------  iProver source info
% 35.34/5.10  
% 35.34/5.10  git: date: 2024-05-02 19:28:25 +0000
% 35.34/5.10  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 35.34/5.10  git: non_committed_changes: false
% 35.34/5.10  
% 35.34/5.10  ------ Parsing...successful
% 35.34/5.10  
% 35.34/5.10  
% 35.34/5.10  
% 35.34/5.10  ------ Preprocessing... sup_sim: 1  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 35.34/5.10  
% 35.34/5.10  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 35.34/5.10  
% 35.34/5.10  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 35.34/5.10  ------ Proving...
% 35.34/5.10  ------ Problem Properties 
% 35.34/5.10  
% 35.34/5.10  
% 35.34/5.10  clauses                                 19
% 35.34/5.10  conjectures                             2
% 35.34/5.10  EPR                                     2
% 35.34/5.10  Horn                                    19
% 35.34/5.10  unary                                   19
% 35.34/5.10  binary                                  0
% 35.34/5.10  lits                                    19
% 35.34/5.10  lits eq                                 19
% 35.34/5.10  fd_pure                                 0
% 35.34/5.10  fd_pseudo                               0
% 35.34/5.10  fd_cond                                 0
% 35.34/5.10  fd_pseudo_cond                          0
% 35.34/5.10  AC symbols                              1
% 35.34/5.10  
% 35.34/5.10  ------ Input Options Time Limit: Unbounded
% 35.34/5.10  
% 35.34/5.10  
% 35.34/5.10  ------ 
% 35.34/5.10  Current options:
% 35.34/5.10  ------ 
% 35.34/5.10  
% 35.34/5.10  
% 35.34/5.10  
% 35.34/5.10  
% 35.34/5.10  ------ Proving...
% 35.34/5.10  
% 35.34/5.10  
% 35.34/5.10  % SZS status Unsatisfiable for theBenchmark.p
% 35.34/5.10  
% 35.34/5.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 35.34/5.10  
% 35.34/5.10  
%------------------------------------------------------------------------------