TSTP Solution File: LAT022-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT022-1 : TPTP v8.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 : Mon Jun 24 10:23:55 EDT 2024
% Result : Unsatisfiable 37.49s 5.67s
% Output : CNFRefutation 37.49s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
meet(join(X0,X1),join(X2,meet(X0,X1))) = join(meet(X0,X1),meet(X2,join(X0,X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',self_dual_modularity) ).
cnf(c_50,negated_conjecture,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_modularity) ).
cnf(c_51,plain,
meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',idempotence_of_meet) ).
cnf(c_52,plain,
join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',idempotence_of_join) ).
cnf(c_53,plain,
meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',commutativity_of_meet) ).
cnf(c_54,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',commutativity_of_join) ).
cnf(c_55,plain,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',associativity_of_meet) ).
cnf(c_56,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',associativity_of_join) ).
cnf(c_57,plain,
join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',quasi_lattice1) ).
cnf(c_58,plain,
meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT004-0.ax',quasi_lattice2) ).
cnf(c_68,plain,
join(meet(X0,X1),meet(X0,join(X1,X2))) = meet(X0,join(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_57,c_56,c_54,c_55,c_53]) ).
cnf(c_69,plain,
meet(join(X0,X1),join(X0,meet(X1,X2))) = join(X0,meet(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_58,c_56,c_54,c_55,c_53]) ).
cnf(c_96,plain,
meet(a,c) = sP0_iProver_def,
definition ).
cnf(c_97,plain,
join(b,sP0_iProver_def) = sP1_iProver_def,
definition ).
cnf(c_98,plain,
meet(a,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_99,plain,
meet(a,b) = sP3_iProver_def,
definition ).
cnf(c_100,plain,
join(sP3_iProver_def,sP0_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_101,negated_conjecture,
sP2_iProver_def != sP4_iProver_def,
inference(demodulation,[status(thm)],[c_50,c_99,c_100,c_96,c_97,c_98]) ).
cnf(c_157,plain,
join(sP0_iProver_def,b) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_97,c_55,c_53,c_56,c_54]) ).
cnf(c_158,plain,
meet(sP1_iProver_def,a) = sP2_iProver_def,
inference(theory_normalisation,[status(thm)],[c_98,c_55,c_53,c_56,c_54]) ).
cnf(c_159,plain,
join(sP0_iProver_def,sP3_iProver_def) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_100,c_55,c_53,c_56,c_54]) ).
cnf(c_182,plain,
meet(X0,meet(X0,X1)) = meet(X0,X1),
inference(superposition,[status(thm)],[c_51,c_55]) ).
cnf(c_183,plain,
meet(sP1_iProver_def,meet(a,X0)) = meet(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_158,c_55]) ).
cnf(c_194,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(superposition,[status(thm)],[c_52,c_56]) ).
cnf(c_195,plain,
join(sP0_iProver_def,join(b,X0)) = join(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_157,c_56]) ).
cnf(c_196,plain,
join(sP0_iProver_def,join(sP3_iProver_def,X0)) = join(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_159,c_56]) ).
cnf(c_248,plain,
join(meet(X0,sP0_iProver_def),meet(X0,sP1_iProver_def)) = meet(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_157,c_68]) ).
cnf(c_249,plain,
join(meet(X0,sP0_iProver_def),meet(X0,sP4_iProver_def)) = meet(X0,sP4_iProver_def),
inference(superposition,[status(thm)],[c_159,c_68]) ).
cnf(c_306,plain,
meet(X0,join(X0,meet(X0,X1))) = join(X0,meet(X0,X1)),
inference(superposition,[status(thm)],[c_52,c_69]) ).
cnf(c_316,plain,
meet(join(meet(X0,X1),X0),meet(X0,join(X1,X2))) = meet(X0,join(X1,X2)),
inference(superposition,[status(thm)],[c_68,c_69]) ).
cnf(c_318,plain,
meet(join(X0,a),join(X0,sP0_iProver_def)) = join(X0,sP0_iProver_def),
inference(superposition,[status(thm)],[c_96,c_69]) ).
cnf(c_319,plain,
meet(join(X0,a),join(X0,sP3_iProver_def)) = join(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_99,c_69]) ).
cnf(c_321,plain,
meet(join(X0,X1),join(X0,meet(X2,X1))) = join(X0,meet(X2,X1)),
inference(superposition,[status(thm)],[c_53,c_69]) ).
cnf(c_329,plain,
meet(join(X0,sP3_iProver_def),join(X0,a)) = join(X0,sP3_iProver_def),
inference(theory_normalisation,[status(thm)],[c_319,c_55,c_53,c_56,c_54]) ).
cnf(c_330,plain,
meet(join(X0,sP0_iProver_def),join(X0,a)) = join(X0,sP0_iProver_def),
inference(theory_normalisation,[status(thm)],[c_318,c_55,c_53,c_56,c_54]) ).
cnf(c_334,plain,
meet(X0,meet(join(X1,X2),join(X0,meet(X0,X1)))) = meet(X0,join(X1,X2)),
inference(theory_normalisation,[status(thm)],[c_316,c_55,c_53,c_56,c_54]) ).
cnf(c_335,plain,
meet(join(X0,X1),join(X2,meet(X2,X0))) = meet(X2,join(X0,X1)),
inference(ac_demodulation,[status(thm)],[c_334,c_306,c_55,c_53,c_56,c_54]) ).
cnf(c_426,plain,
meet(a,sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_96,c_182]) ).
cnf(c_430,plain,
meet(sP1_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_158,c_182]) ).
cnf(c_442,plain,
meet(sP0_iProver_def,a) = sP0_iProver_def,
inference(theory_normalisation,[status(thm)],[c_426,c_55,c_53,c_56,c_54]) ).
cnf(c_541,plain,
meet(X0,join(X1,meet(X0,X0))) = join(meet(X0,X0),meet(X1,X0)),
inference(superposition,[status(thm)],[c_52,c_49]) ).
cnf(c_553,plain,
meet(X0,join(X1,X0)) = join(X0,meet(X1,X0)),
inference(ac_demodulation,[status(thm)],[c_541,c_51,c_51,c_55,c_53,c_56,c_54]) ).
cnf(c_626,plain,
meet(sP1_iProver_def,sP3_iProver_def) = meet(sP2_iProver_def,b),
inference(superposition,[status(thm)],[c_99,c_183]) ).
cnf(c_628,plain,
meet(sP1_iProver_def,meet(X0,a)) = meet(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_53,c_183]) ).
cnf(c_742,plain,
join(sP0_iProver_def,sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_157,c_194]) ).
cnf(c_794,plain,
join(sP0_iProver_def,join(X0,b)) = join(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_54,c_195]) ).
cnf(c_849,plain,
join(sP0_iProver_def,sP3_iProver_def) = join(sP4_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_52,c_196]) ).
cnf(c_857,plain,
join(sP0_iProver_def,sP3_iProver_def) = join(sP3_iProver_def,sP4_iProver_def),
inference(theory_normalisation,[status(thm)],[c_849,c_55,c_53,c_56,c_54]) ).
cnf(c_858,plain,
join(sP3_iProver_def,sP4_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_857,c_159]) ).
cnf(c_874,plain,
join(meet(X0,sP3_iProver_def),meet(X0,sP4_iProver_def)) = meet(X0,sP4_iProver_def),
inference(superposition,[status(thm)],[c_858,c_68]) ).
cnf(c_1890,plain,
join(sP1_iProver_def,sP3_iProver_def) = join(sP4_iProver_def,b),
inference(superposition,[status(thm)],[c_794,c_196]) ).
cnf(c_1911,plain,
join(sP0_iProver_def,join(sP1_iProver_def,sP3_iProver_def)) = join(sP1_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_1890,c_794]) ).
cnf(c_1912,plain,
join(sP1_iProver_def,sP4_iProver_def) = join(sP3_iProver_def,sP1_iProver_def),
inference(ac_demodulation,[status(thm)],[c_1911,c_742,c_55,c_53,c_56,c_54]) ).
cnf(c_1913,plain,
join(sP1_iProver_def,sP3_iProver_def) = join(sP1_iProver_def,sP4_iProver_def),
inference(theory_normalisation,[status(thm)],[c_1912,c_55,c_53,c_56,c_54]) ).
cnf(c_2015,plain,
join(join(sP1_iProver_def,sP3_iProver_def),X0) = join(sP1_iProver_def,join(sP4_iProver_def,X0)),
inference(superposition,[status(thm)],[c_1913,c_56]) ).
cnf(c_2019,plain,
join(sP1_iProver_def,join(sP3_iProver_def,X0)) = join(sP1_iProver_def,join(sP4_iProver_def,X0)),
inference(theory_normalisation,[status(thm)],[c_2015,c_55,c_53,c_56,c_54]) ).
cnf(c_4262,plain,
join(meet(sP0_iProver_def,X0),meet(X0,sP1_iProver_def)) = meet(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_53,c_248]) ).
cnf(c_4273,plain,
meet(join(meet(X0,sP0_iProver_def),X0),meet(X0,sP1_iProver_def)) = meet(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_248,c_69]) ).
cnf(c_4276,plain,
meet(X0,meet(sP1_iProver_def,join(X0,meet(X0,sP0_iProver_def)))) = meet(X0,sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_4273,c_55,c_53,c_56,c_54]) ).
cnf(c_4277,plain,
meet(sP1_iProver_def,join(X0,meet(X0,sP0_iProver_def))) = meet(X0,sP1_iProver_def),
inference(ac_demodulation,[status(thm)],[c_4276,c_306,c_55,c_53,c_56,c_54]) ).
cnf(c_4495,plain,
meet(join(meet(X0,sP0_iProver_def),X0),meet(X0,sP4_iProver_def)) = meet(X0,sP4_iProver_def),
inference(superposition,[status(thm)],[c_249,c_69]) ).
cnf(c_4498,plain,
meet(X0,meet(sP4_iProver_def,join(X0,meet(X0,sP0_iProver_def)))) = meet(X0,sP4_iProver_def),
inference(theory_normalisation,[status(thm)],[c_4495,c_55,c_53,c_56,c_54]) ).
cnf(c_4499,plain,
meet(sP4_iProver_def,join(X0,meet(X0,sP0_iProver_def))) = meet(X0,sP4_iProver_def),
inference(ac_demodulation,[status(thm)],[c_4498,c_306,c_55,c_53,c_56,c_54]) ).
cnf(c_4696,plain,
meet(sP4_iProver_def,join(sP0_iProver_def,a)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_159,c_329]) ).
cnf(c_4699,plain,
meet(join(X0,sP3_iProver_def),join(a,X0)) = join(X0,sP3_iProver_def),
inference(superposition,[status(thm)],[c_54,c_329]) ).
cnf(c_4802,plain,
meet(sP4_iProver_def,meet(join(sP0_iProver_def,a),X0)) = meet(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_4696,c_55]) ).
cnf(c_4954,plain,
meet(join(sP0_iProver_def,X0),join(X0,a)) = join(sP0_iProver_def,X0),
inference(superposition,[status(thm)],[c_54,c_330]) ).
cnf(c_5143,plain,
meet(X0,join(X1,X0)) = join(X0,meet(X0,X1)),
inference(superposition,[status(thm)],[c_53,c_553]) ).
cnf(c_5153,plain,
meet(meet(X0,X1),join(X0,meet(X0,X1))) = join(meet(X0,X1),meet(X0,X1)),
inference(superposition,[status(thm)],[c_182,c_553]) ).
cnf(c_5293,plain,
meet(X0,meet(X1,join(X0,meet(X0,X1)))) = join(meet(X0,X1),meet(X0,X1)),
inference(theory_normalisation,[status(thm)],[c_5153,c_55,c_53,c_56,c_54]) ).
cnf(c_5294,plain,
meet(X0,join(X1,meet(X1,X0))) = meet(X1,X0),
inference(ac_demodulation,[status(thm)],[c_5293,c_306,c_52,c_55,c_53,c_56,c_54]) ).
cnf(c_6457,plain,
join(sP3_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)) = meet(sP3_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_51,c_874]) ).
cnf(c_6462,plain,
join(meet(sP4_iProver_def,sP3_iProver_def),sP4_iProver_def) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_51,c_874]) ).
cnf(c_6463,plain,
join(meet(X0,sP3_iProver_def),meet(sP4_iProver_def,X0)) = meet(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_53,c_874]) ).
cnf(c_6472,plain,
join(sP4_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_6462,c_55,c_53,c_56,c_54]) ).
cnf(c_6717,plain,
join(sP0_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)) = join(sP4_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_6457,c_196]) ).
cnf(c_6718,plain,
join(sP0_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_6717,c_6472]) ).
cnf(c_7326,plain,
join(sP1_iProver_def,join(sP3_iProver_def,meet(sP3_iProver_def,sP4_iProver_def))) = join(sP1_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_6472,c_2019]) ).
cnf(c_7347,plain,
join(sP1_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)) = join(sP1_iProver_def,sP4_iProver_def),
inference(ac_demodulation,[status(thm)],[c_7326,c_6457,c_55,c_53,c_56,c_54]) ).
cnf(c_7348,plain,
join(sP1_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)) = join(sP1_iProver_def,sP3_iProver_def),
inference(light_normalisation,[status(thm)],[c_7347,c_1913]) ).
cnf(c_7368,plain,
join(sP0_iProver_def,meet(a,sP1_iProver_def)) = meet(a,sP1_iProver_def),
inference(superposition,[status(thm)],[c_442,c_4262]) ).
cnf(c_7399,plain,
join(sP0_iProver_def,meet(sP1_iProver_def,a)) = meet(sP1_iProver_def,a),
inference(theory_normalisation,[status(thm)],[c_7368,c_55,c_53,c_56,c_54]) ).
cnf(c_7400,plain,
join(sP0_iProver_def,sP2_iProver_def) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_7399,c_158]) ).
cnf(c_7806,plain,
join(sP0_iProver_def,join(sP2_iProver_def,X0)) = join(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_7400,c_56]) ).
cnf(c_7924,plain,
join(sP1_iProver_def,sP2_iProver_def) = join(sP2_iProver_def,b),
inference(superposition,[status(thm)],[c_7806,c_794]) ).
cnf(c_11178,plain,
meet(sP1_iProver_def,join(b,a)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_157,c_4954]) ).
cnf(c_11179,plain,
meet(sP4_iProver_def,join(sP3_iProver_def,a)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_159,c_4954]) ).
cnf(c_11201,plain,
meet(sP4_iProver_def,join(meet(sP3_iProver_def,sP4_iProver_def),a)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_6718,c_4954]) ).
cnf(c_11221,plain,
meet(sP4_iProver_def,join(a,a)) = meet(sP4_iProver_def,join(sP0_iProver_def,a)),
inference(superposition,[status(thm)],[c_4954,c_4802]) ).
cnf(c_11222,plain,
meet(sP1_iProver_def,join(a,b)) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_11178,c_55,c_53,c_56,c_54]) ).
cnf(c_11224,plain,
meet(sP4_iProver_def,join(a,meet(sP3_iProver_def,sP4_iProver_def))) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_11201,c_55,c_53,c_56,c_54]) ).
cnf(c_11225,plain,
meet(sP4_iProver_def,join(sP0_iProver_def,a)) = meet(sP4_iProver_def,a),
inference(ac_demodulation,[status(thm)],[c_11221,c_52,c_55,c_53,c_56,c_54]) ).
cnf(c_11226,plain,
meet(sP4_iProver_def,a) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_11225,c_4696]) ).
cnf(c_11816,plain,
meet(join(sP3_iProver_def,a),join(sP4_iProver_def,join(sP3_iProver_def,a))) = join(join(sP3_iProver_def,a),sP4_iProver_def),
inference(superposition,[status(thm)],[c_11179,c_553]) ).
cnf(c_11824,plain,
meet(join(sP3_iProver_def,a),join(sP3_iProver_def,join(sP4_iProver_def,a))) = join(sP3_iProver_def,join(sP4_iProver_def,a)),
inference(theory_normalisation,[status(thm)],[c_11816,c_55,c_53,c_56,c_54]) ).
cnf(c_11825,plain,
meet(join(sP3_iProver_def,a),join(a,sP4_iProver_def)) = join(a,sP4_iProver_def),
inference(ac_demodulation,[status(thm)],[c_11824,c_858,c_858,c_55,c_53,c_56,c_54]) ).
cnf(c_11826,plain,
meet(join(sP3_iProver_def,a),join(sP4_iProver_def,a)) = join(sP4_iProver_def,a),
inference(theory_normalisation,[status(thm)],[c_11825,c_55,c_53,c_56,c_54]) ).
cnf(c_11841,plain,
meet(sP1_iProver_def,meet(join(a,b),X0)) = meet(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_11222,c_55]) ).
cnf(c_11846,plain,
join(meet(sP1_iProver_def,a),sP1_iProver_def) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_11222,c_68]) ).
cnf(c_11849,plain,
join(sP1_iProver_def,meet(sP1_iProver_def,a)) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_11846,c_55,c_53,c_56,c_54]) ).
cnf(c_11850,plain,
join(sP1_iProver_def,sP2_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_11849,c_158]) ).
cnf(c_11863,plain,
join(sP2_iProver_def,b) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_7924,c_11850]) ).
cnf(c_11876,plain,
join(sP1_iProver_def,join(sP2_iProver_def,X0)) = join(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_11850,c_56]) ).
cnf(c_11896,plain,
meet(sP4_iProver_def,meet(a,X0)) = meet(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_11226,c_55]) ).
cnf(c_11905,plain,
meet(sP1_iProver_def,sP4_iProver_def) = meet(sP2_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_11226,c_628]) ).
cnf(c_11920,plain,
join(meet(X0,sP2_iProver_def),meet(X0,sP1_iProver_def)) = meet(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_11863,c_68]) ).
cnf(c_11937,plain,
join(meet(X0,sP1_iProver_def),meet(X0,sP2_iProver_def)) = meet(X0,sP1_iProver_def),
inference(theory_normalisation,[status(thm)],[c_11920,c_55,c_53,c_56,c_54]) ).
cnf(c_12102,plain,
meet(sP4_iProver_def,b) = meet(sP4_iProver_def,sP3_iProver_def),
inference(superposition,[status(thm)],[c_99,c_11896]) ).
cnf(c_12124,plain,
meet(sP3_iProver_def,sP4_iProver_def) = meet(sP4_iProver_def,b),
inference(theory_normalisation,[status(thm)],[c_12102,c_55,c_53,c_56,c_54]) ).
cnf(c_12211,plain,
meet(join(a,meet(sP3_iProver_def,sP4_iProver_def)),join(sP4_iProver_def,join(a,meet(sP3_iProver_def,sP4_iProver_def)))) = join(join(a,meet(sP3_iProver_def,sP4_iProver_def)),sP4_iProver_def),
inference(superposition,[status(thm)],[c_11224,c_553]) ).
cnf(c_12220,plain,
meet(join(a,meet(sP3_iProver_def,sP4_iProver_def)),join(sP4_iProver_def,join(a,meet(sP3_iProver_def,sP4_iProver_def)))) = join(sP4_iProver_def,join(a,meet(sP3_iProver_def,sP4_iProver_def))),
inference(theory_normalisation,[status(thm)],[c_12211,c_55,c_53,c_56,c_54]) ).
cnf(c_12221,plain,
join(a,meet(sP3_iProver_def,sP4_iProver_def)) = join(a,sP4_iProver_def),
inference(ac_demodulation,[status(thm)],[c_12220,c_321,c_6472,c_6472,c_55,c_53,c_56,c_54]) ).
cnf(c_12222,plain,
join(a,meet(sP3_iProver_def,sP4_iProver_def)) = join(sP4_iProver_def,a),
inference(theory_normalisation,[status(thm)],[c_12221,c_55,c_53,c_56,c_54]) ).
cnf(c_13035,plain,
meet(join(meet(sP3_iProver_def,sP4_iProver_def),sP3_iProver_def),join(sP4_iProver_def,a)) = join(meet(sP3_iProver_def,sP4_iProver_def),sP3_iProver_def),
inference(superposition,[status(thm)],[c_12222,c_4699]) ).
cnf(c_13040,plain,
meet(join(sP4_iProver_def,a),join(sP3_iProver_def,meet(sP3_iProver_def,sP4_iProver_def))) = join(sP3_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_13035,c_55,c_53,c_56,c_54]) ).
cnf(c_13041,plain,
meet(sP3_iProver_def,join(sP4_iProver_def,a)) = join(sP3_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)),
inference(ac_demodulation,[status(thm)],[c_13040,c_335,c_55,c_53,c_56,c_54]) ).
cnf(c_13042,plain,
meet(sP3_iProver_def,join(sP4_iProver_def,a)) = meet(sP3_iProver_def,sP4_iProver_def),
inference(light_normalisation,[status(thm)],[c_13041,c_6457]) ).
cnf(c_13968,plain,
meet(sP4_iProver_def,meet(X0,join(sP0_iProver_def,X0))) = meet(X0,sP4_iProver_def),
inference(demodulation,[status(thm)],[c_4499,c_5143]) ).
cnf(c_13969,plain,
meet(sP1_iProver_def,meet(X0,join(sP0_iProver_def,X0))) = meet(X0,sP1_iProver_def),
inference(demodulation,[status(thm)],[c_4277,c_5143]) ).
cnf(c_13981,plain,
meet(a,join(b,a)) = join(a,sP3_iProver_def),
inference(superposition,[status(thm)],[c_99,c_5143]) ).
cnf(c_14029,plain,
meet(sP2_iProver_def,join(b,sP2_iProver_def)) = join(sP2_iProver_def,meet(sP1_iProver_def,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_626,c_5143]) ).
cnf(c_14065,plain,
meet(sP4_iProver_def,join(b,sP4_iProver_def)) = join(sP4_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_12124,c_5143]) ).
cnf(c_14149,plain,
meet(a,join(a,b)) = join(sP3_iProver_def,a),
inference(theory_normalisation,[status(thm)],[c_13981,c_55,c_53,c_56,c_54]) ).
cnf(c_14181,plain,
meet(sP4_iProver_def,join(sP4_iProver_def,b)) = join(sP4_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_14065,c_55,c_53,c_56,c_54]) ).
cnf(c_14182,plain,
meet(sP4_iProver_def,join(sP1_iProver_def,sP3_iProver_def)) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_14181,c_1890,c_6472]) ).
cnf(c_14190,plain,
meet(sP2_iProver_def,join(sP2_iProver_def,b)) = join(sP2_iProver_def,meet(sP1_iProver_def,sP3_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_14029,c_55,c_53,c_56,c_54]) ).
cnf(c_14191,plain,
join(sP2_iProver_def,meet(sP1_iProver_def,sP3_iProver_def)) = meet(sP2_iProver_def,sP1_iProver_def),
inference(light_normalisation,[status(thm)],[c_14190,c_11863]) ).
cnf(c_14192,plain,
join(sP2_iProver_def,meet(sP1_iProver_def,sP3_iProver_def)) = meet(sP1_iProver_def,sP2_iProver_def),
inference(theory_normalisation,[status(thm)],[c_14191,c_55,c_53,c_56,c_54]) ).
cnf(c_14193,plain,
join(sP2_iProver_def,meet(sP1_iProver_def,sP3_iProver_def)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_14192,c_430]) ).
cnf(c_15151,plain,
join(sP1_iProver_def,meet(sP1_iProver_def,sP3_iProver_def)) = join(sP1_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_14193,c_11876]) ).
cnf(c_15158,plain,
join(sP1_iProver_def,meet(sP1_iProver_def,sP3_iProver_def)) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_15151,c_11850]) ).
cnf(c_15497,plain,
meet(sP1_iProver_def,join(sP3_iProver_def,sP1_iProver_def)) = sP1_iProver_def,
inference(superposition,[status(thm)],[c_15158,c_5143]) ).
cnf(c_15498,plain,
meet(sP1_iProver_def,join(sP1_iProver_def,sP3_iProver_def)) = sP1_iProver_def,
inference(theory_normalisation,[status(thm)],[c_15497,c_55,c_53,c_56,c_54]) ).
cnf(c_15606,plain,
join(meet(join(sP1_iProver_def,sP3_iProver_def),sP3_iProver_def),sP4_iProver_def) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_14182,c_6463]) ).
cnf(c_15642,plain,
join(sP4_iProver_def,meet(sP3_iProver_def,join(sP1_iProver_def,sP3_iProver_def))) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_15606,c_55,c_53,c_56,c_54]) ).
cnf(c_23721,plain,
meet(sP1_iProver_def,meet(X0,join(a,b))) = meet(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_53,c_11841]) ).
cnf(c_24368,plain,
join(meet(sP1_iProver_def,X0),meet(X0,sP2_iProver_def)) = meet(sP1_iProver_def,X0),
inference(superposition,[status(thm)],[c_53,c_11937]) ).
cnf(c_36744,plain,
meet(sP4_iProver_def,meet(b,sP1_iProver_def)) = meet(b,sP4_iProver_def),
inference(superposition,[status(thm)],[c_157,c_13968]) ).
cnf(c_36808,plain,
meet(sP1_iProver_def,meet(sP4_iProver_def,b)) = meet(sP4_iProver_def,b),
inference(theory_normalisation,[status(thm)],[c_36744,c_55,c_53,c_56,c_54]) ).
cnf(c_36809,plain,
meet(sP1_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)) = meet(sP3_iProver_def,sP4_iProver_def),
inference(light_normalisation,[status(thm)],[c_36808,c_12124]) ).
cnf(c_37040,plain,
meet(sP1_iProver_def,join(meet(sP3_iProver_def,sP4_iProver_def),sP1_iProver_def)) = join(sP1_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)),
inference(superposition,[status(thm)],[c_36809,c_5143]) ).
cnf(c_37059,plain,
meet(sP1_iProver_def,join(sP1_iProver_def,meet(sP3_iProver_def,sP4_iProver_def))) = join(sP1_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_37040,c_55,c_53,c_56,c_54]) ).
cnf(c_37060,plain,
join(sP1_iProver_def,sP3_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_37059,c_7348,c_15498]) ).
cnf(c_37072,plain,
join(sP4_iProver_def,meet(sP3_iProver_def,sP1_iProver_def)) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_15642,c_37060]) ).
cnf(c_37076,plain,
meet(sP4_iProver_def,sP1_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_14182,c_37060]) ).
cnf(c_37079,plain,
join(sP4_iProver_def,b) = sP1_iProver_def,
inference(demodulation,[status(thm)],[c_1890,c_37060]) ).
cnf(c_37092,plain,
meet(sP1_iProver_def,sP4_iProver_def) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_37076,c_55,c_53,c_56,c_54]) ).
cnf(c_37095,plain,
meet(sP2_iProver_def,sP4_iProver_def) = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_11905,c_37092]) ).
cnf(c_37100,plain,
join(sP4_iProver_def,meet(sP1_iProver_def,sP3_iProver_def)) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_37072,c_55,c_53,c_56,c_54]) ).
cnf(c_37357,plain,
join(sP4_iProver_def,meet(sP2_iProver_def,join(sP4_iProver_def,X0))) = meet(sP2_iProver_def,join(sP4_iProver_def,X0)),
inference(superposition,[status(thm)],[c_37095,c_68]) ).
cnf(c_39887,plain,
meet(sP1_iProver_def,meet(X0,join(X0,sP0_iProver_def))) = meet(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_54,c_13969]) ).
cnf(c_39890,plain,
meet(sP1_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)) = meet(sP3_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_159,c_13969]) ).
cnf(c_39953,plain,
meet(sP1_iProver_def,meet(sP3_iProver_def,sP4_iProver_def)) = meet(sP1_iProver_def,sP3_iProver_def),
inference(theory_normalisation,[status(thm)],[c_39890,c_55,c_53,c_56,c_54]) ).
cnf(c_39954,plain,
meet(sP1_iProver_def,sP3_iProver_def) = meet(sP3_iProver_def,sP4_iProver_def),
inference(ac_demodulation,[status(thm)],[c_39953,c_37092,c_55,c_53,c_56,c_54]) ).
cnf(c_40032,plain,
meet(sP3_iProver_def,join(sP4_iProver_def,a)) = meet(sP1_iProver_def,sP3_iProver_def),
inference(demodulation,[status(thm)],[c_13042,c_39954]) ).
cnf(c_48684,plain,
meet(b,join(a,sP3_iProver_def)) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_99,c_5294]) ).
cnf(c_49008,plain,
meet(b,join(sP3_iProver_def,a)) = sP3_iProver_def,
inference(theory_normalisation,[status(thm)],[c_48684,c_55,c_53,c_56,c_54]) ).
cnf(c_50246,plain,
meet(b,meet(join(sP3_iProver_def,a),X0)) = meet(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_49008,c_55]) ).
cnf(c_50633,plain,
meet(sP1_iProver_def,join(sP3_iProver_def,a)) = meet(sP1_iProver_def,a),
inference(superposition,[status(thm)],[c_14149,c_23721]) ).
cnf(c_50662,plain,
meet(sP1_iProver_def,join(sP3_iProver_def,a)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_50633,c_158]) ).
cnf(c_50824,plain,
meet(sP1_iProver_def,meet(join(sP3_iProver_def,a),X0)) = meet(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_50662,c_55]) ).
cnf(c_62127,plain,
meet(b,join(sP4_iProver_def,a)) = meet(sP3_iProver_def,join(sP4_iProver_def,a)),
inference(superposition,[status(thm)],[c_11826,c_50246]) ).
cnf(c_62156,plain,
meet(b,join(sP4_iProver_def,a)) = meet(sP1_iProver_def,sP3_iProver_def),
inference(light_normalisation,[status(thm)],[c_62127,c_40032]) ).
cnf(c_62371,plain,
meet(join(sP4_iProver_def,a),join(b,meet(sP4_iProver_def,a))) = join(meet(sP4_iProver_def,a),meet(sP1_iProver_def,sP3_iProver_def)),
inference(superposition,[status(thm)],[c_62156,c_49]) ).
cnf(c_62431,plain,
meet(join(sP4_iProver_def,a),join(b,meet(sP4_iProver_def,a))) = join(meet(sP1_iProver_def,sP3_iProver_def),meet(sP4_iProver_def,a)),
inference(theory_normalisation,[status(thm)],[c_62371,c_55,c_53,c_56,c_54]) ).
cnf(c_62432,plain,
meet(join(sP4_iProver_def,a),join(b,sP4_iProver_def)) = join(meet(sP1_iProver_def,sP3_iProver_def),sP4_iProver_def),
inference(light_normalisation,[status(thm)],[c_62431,c_11226]) ).
cnf(c_62433,plain,
meet(join(sP4_iProver_def,a),join(sP4_iProver_def,b)) = join(sP4_iProver_def,meet(sP1_iProver_def,sP3_iProver_def)),
inference(theory_normalisation,[status(thm)],[c_62432,c_55,c_53,c_56,c_54]) ).
cnf(c_62434,plain,
meet(join(sP4_iProver_def,a),sP1_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_62433,c_37079,c_37100]) ).
cnf(c_62435,plain,
meet(sP1_iProver_def,join(sP4_iProver_def,a)) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_62434,c_55,c_53,c_56,c_54]) ).
cnf(c_62560,plain,
join(sP4_iProver_def,meet(join(sP4_iProver_def,a),sP2_iProver_def)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_62435,c_24368]) ).
cnf(c_62575,plain,
join(sP4_iProver_def,meet(sP2_iProver_def,join(sP4_iProver_def,a))) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_62560,c_55,c_53,c_56,c_54]) ).
cnf(c_62576,plain,
meet(sP2_iProver_def,join(sP4_iProver_def,a)) = sP4_iProver_def,
inference(ac_demodulation,[status(thm)],[c_62575,c_37357,c_55,c_53,c_56,c_54]) ).
cnf(c_64164,plain,
meet(sP2_iProver_def,join(join(sP3_iProver_def,a),sP0_iProver_def)) = meet(join(sP3_iProver_def,a),sP1_iProver_def),
inference(superposition,[status(thm)],[c_50824,c_39887]) ).
cnf(c_64195,plain,
meet(sP2_iProver_def,join(sP0_iProver_def,join(sP3_iProver_def,a))) = meet(sP1_iProver_def,join(sP3_iProver_def,a)),
inference(theory_normalisation,[status(thm)],[c_64164,c_55,c_53,c_56,c_54]) ).
cnf(c_64196,plain,
meet(sP1_iProver_def,join(sP3_iProver_def,a)) = meet(sP2_iProver_def,join(a,sP4_iProver_def)),
inference(ac_demodulation,[status(thm)],[c_64195,c_159,c_55,c_53,c_56,c_54]) ).
cnf(c_64197,plain,
meet(sP2_iProver_def,join(a,sP4_iProver_def)) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_64196,c_50662]) ).
cnf(c_64198,plain,
meet(sP2_iProver_def,join(sP4_iProver_def,a)) = sP2_iProver_def,
inference(theory_normalisation,[status(thm)],[c_64197,c_55,c_53,c_56,c_54]) ).
cnf(c_64268,plain,
sP2_iProver_def = sP4_iProver_def,
inference(demodulation,[status(thm)],[c_62576,c_64198]) ).
cnf(c_64269,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_64268,c_101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT022-1 : TPTP v8.2.0. Released v2.2.0.
% 0.06/0.12 % Command : run_iprover %s %d THM
% 0.12/0.31 % Computer : n029.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Fri Jun 21 20:28:09 EDT 2024
% 0.12/0.31 % CPUTime :
% 0.17/0.46 Running UEQ theorem proving
% 0.17/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule casc_j12_ueq --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 37.49/5.67 % SZS status Started for theBenchmark.p
% 37.49/5.67 % SZS status Unsatisfiable for theBenchmark.p
% 37.49/5.67
% 37.49/5.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 37.49/5.67
% 37.49/5.67 ------ iProver source info
% 37.49/5.67
% 37.49/5.67 git: date: 2024-06-12 09:56:46 +0000
% 37.49/5.67 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 37.49/5.67 git: non_committed_changes: false
% 37.49/5.67
% 37.49/5.67 ------ Parsing...successful
% 37.49/5.67
% 37.49/5.67
% 37.49/5.67
% 37.49/5.67 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 37.49/5.67
% 37.49/5.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 37.49/5.67
% 37.49/5.67 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 37.49/5.67 ------ Proving...
% 37.49/5.67 ------ Problem Properties
% 37.49/5.67
% 37.49/5.67
% 37.49/5.67 clauses 15
% 37.49/5.67 conjectures 1
% 37.49/5.67 EPR 1
% 37.49/5.67 Horn 15
% 37.49/5.67 unary 15
% 37.49/5.67 binary 0
% 37.49/5.67 lits 15
% 37.49/5.67 lits eq 15
% 37.49/5.67 fd_pure 0
% 37.49/5.67 fd_pseudo 0
% 37.49/5.67 fd_cond 0
% 37.49/5.67 fd_pseudo_cond 0
% 37.49/5.67 AC symbols 2
% 37.49/5.67
% 37.49/5.67 ------ Input Options Time Limit: Unbounded
% 37.49/5.67
% 37.49/5.67
% 37.49/5.67 ------
% 37.49/5.67 Current options:
% 37.49/5.67 ------
% 37.49/5.67
% 37.49/5.67
% 37.49/5.67
% 37.49/5.67
% 37.49/5.67 ------ Proving...
% 37.49/5.67
% 37.49/5.67
% 37.49/5.67 % SZS status Unsatisfiable for theBenchmark.p
% 37.49/5.67
% 37.49/5.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 37.49/5.67
% 37.49/5.68
%------------------------------------------------------------------------------