TSTP Solution File: LAT170-1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT170-1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n010.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 02:34:47 EDT 2024
% Result : Unsatisfiable 15.74s 2.66s
% Output : CNFRefutation 15.74s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
join(X0,meet(X1,meet(join(X0,X2),join(X2,meet(X1,X3))))) = join(X0,meet(X1,join(X2,meet(X0,X3)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H49_dual) ).
cnf(c_50,negated_conjecture,
meet(a,join(b,meet(join(a,b),join(c,meet(a,b))))) != meet(a,join(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_H58) ).
cnf(c_53,plain,
meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(c_54,plain,
join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(c_55,plain,
meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(c_56,plain,
join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(c_57,plain,
meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(c_58,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(c_92,plain,
join(a,b) = sP0_iProver_def,
definition ).
cnf(c_93,plain,
meet(a,b) = sP1_iProver_def,
definition ).
cnf(c_94,plain,
join(c,sP1_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_95,plain,
meet(sP0_iProver_def,sP2_iProver_def) = sP3_iProver_def,
definition ).
cnf(c_96,plain,
join(b,sP3_iProver_def) = sP4_iProver_def,
definition ).
cnf(c_97,plain,
meet(a,sP4_iProver_def) = sP5_iProver_def,
definition ).
cnf(c_98,plain,
join(b,c) = sP6_iProver_def,
definition ).
cnf(c_99,plain,
meet(a,sP6_iProver_def) = sP7_iProver_def,
definition ).
cnf(c_100,negated_conjecture,
sP5_iProver_def != sP7_iProver_def,
inference(demodulation,[status(thm)],[c_50,c_98,c_99,c_93,c_94,c_92,c_95,c_96,c_97]) ).
cnf(c_162,plain,
meet(X0,meet(X1,X2)) = meet(X1,meet(X0,X2)),
inference(superposition,[status(thm)],[c_57,c_55]) ).
cnf(c_163,plain,
join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(superposition,[status(thm)],[c_58,c_56]) ).
cnf(c_168,plain,
join(sP1_iProver_def,c) = sP2_iProver_def,
inference(theory_normalisation,[status(thm)],[c_94,c_57,c_55,c_58,c_56]) ).
cnf(c_169,plain,
join(sP3_iProver_def,b) = sP4_iProver_def,
inference(theory_normalisation,[status(thm)],[c_96,c_57,c_55,c_58,c_56]) ).
cnf(c_170,plain,
meet(sP4_iProver_def,a) = sP5_iProver_def,
inference(theory_normalisation,[status(thm)],[c_97,c_57,c_55,c_58,c_56]) ).
cnf(c_171,plain,
meet(sP6_iProver_def,a) = sP7_iProver_def,
inference(theory_normalisation,[status(thm)],[c_99,c_57,c_55,c_58,c_56]) ).
cnf(c_172,plain,
meet(b,sP6_iProver_def) = b,
inference(superposition,[status(thm)],[c_98,c_53]) ).
cnf(c_173,plain,
meet(a,sP0_iProver_def) = a,
inference(superposition,[status(thm)],[c_92,c_53]) ).
cnf(c_176,plain,
meet(sP3_iProver_def,sP4_iProver_def) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_169,c_53]) ).
cnf(c_177,plain,
meet(sP0_iProver_def,a) = a,
inference(theory_normalisation,[status(thm)],[c_173,c_57,c_55,c_58,c_56]) ).
cnf(c_178,plain,
meet(sP6_iProver_def,b) = b,
inference(theory_normalisation,[status(thm)],[c_172,c_57,c_55,c_58,c_56]) ).
cnf(c_190,plain,
join(sP6_iProver_def,b) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_178,c_54]) ).
cnf(c_198,plain,
join(X0,meet(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_55,c_54]) ).
cnf(c_213,plain,
meet(a,meet(X0,b)) = meet(X0,sP1_iProver_def),
inference(superposition,[status(thm)],[c_93,c_162]) ).
cnf(c_215,plain,
meet(X0,meet(X1,join(X0,X2))) = meet(X1,X0),
inference(superposition,[status(thm)],[c_53,c_162]) ).
cnf(c_217,plain,
meet(sP4_iProver_def,meet(X0,a)) = meet(X0,sP5_iProver_def),
inference(superposition,[status(thm)],[c_170,c_162]) ).
cnf(c_218,plain,
meet(sP6_iProver_def,meet(X0,a)) = meet(X0,sP7_iProver_def),
inference(superposition,[status(thm)],[c_171,c_162]) ).
cnf(c_221,plain,
meet(sP0_iProver_def,meet(X0,a)) = meet(X0,a),
inference(superposition,[status(thm)],[c_177,c_162]) ).
cnf(c_227,plain,
join(X0,meet(X1,meet(X0,X2))) = X0,
inference(superposition,[status(thm)],[c_162,c_54]) ).
cnf(c_272,plain,
meet(X0,join(X1,X0)) = X0,
inference(superposition,[status(thm)],[c_56,c_53]) ).
cnf(c_279,plain,
meet(sP0_iProver_def,meet(sP2_iProver_def,X0)) = meet(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_95,c_57]) ).
cnf(c_280,plain,
meet(sP4_iProver_def,meet(a,X0)) = meet(sP5_iProver_def,X0),
inference(superposition,[status(thm)],[c_170,c_57]) ).
cnf(c_283,plain,
meet(sP3_iProver_def,meet(sP4_iProver_def,X0)) = meet(sP3_iProver_def,X0),
inference(superposition,[status(thm)],[c_176,c_57]) ).
cnf(c_312,plain,
join(sP3_iProver_def,join(b,X0)) = join(sP4_iProver_def,X0),
inference(superposition,[status(thm)],[c_169,c_58]) ).
cnf(c_397,plain,
join(X0,meet(a,meet(join(X0,X1),join(X1,sP1_iProver_def)))) = join(X0,meet(a,join(X1,meet(X0,b)))),
inference(superposition,[status(thm)],[c_93,c_49]) ).
cnf(c_536,plain,
join(sP2_iProver_def,sP3_iProver_def) = sP2_iProver_def,
inference(superposition,[status(thm)],[c_95,c_198]) ).
cnf(c_539,plain,
join(a,sP7_iProver_def) = a,
inference(superposition,[status(thm)],[c_171,c_198]) ).
cnf(c_553,plain,
join(sP7_iProver_def,a) = a,
inference(theory_normalisation,[status(thm)],[c_539,c_57,c_55,c_58,c_56]) ).
cnf(c_590,plain,
join(sP2_iProver_def,join(sP3_iProver_def,X0)) = join(sP2_iProver_def,X0),
inference(superposition,[status(thm)],[c_536,c_58]) ).
cnf(c_606,plain,
meet(sP7_iProver_def,a) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_553,c_53]) ).
cnf(c_632,plain,
meet(sP7_iProver_def,meet(X0,a)) = meet(X0,sP7_iProver_def),
inference(superposition,[status(thm)],[c_606,c_162]) ).
cnf(c_734,plain,
meet(b,sP4_iProver_def) = b,
inference(superposition,[status(thm)],[c_169,c_272]) ).
cnf(c_760,plain,
meet(sP4_iProver_def,b) = b,
inference(theory_normalisation,[status(thm)],[c_734,c_57,c_55,c_58,c_56]) ).
cnf(c_838,plain,
join(b,join(X0,c)) = join(X0,sP6_iProver_def),
inference(superposition,[status(thm)],[c_98,c_163]) ).
cnf(c_1216,plain,
meet(a,b) = meet(sP6_iProver_def,sP1_iProver_def),
inference(superposition,[status(thm)],[c_178,c_213]) ).
cnf(c_1233,plain,
meet(a,b) = meet(sP1_iProver_def,sP6_iProver_def),
inference(theory_normalisation,[status(thm)],[c_1216,c_57,c_55,c_58,c_56]) ).
cnf(c_1234,plain,
meet(sP1_iProver_def,sP6_iProver_def) = sP1_iProver_def,
inference(light_normalisation,[status(thm)],[c_1233,c_93]) ).
cnf(c_1299,plain,
join(sP6_iProver_def,sP1_iProver_def) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_1234,c_198]) ).
cnf(c_1302,plain,
join(sP1_iProver_def,sP6_iProver_def) = sP6_iProver_def,
inference(theory_normalisation,[status(thm)],[c_1299,c_57,c_55,c_58,c_56]) ).
cnf(c_1612,plain,
meet(sP4_iProver_def,sP7_iProver_def) = meet(sP6_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_171,c_217]) ).
cnf(c_1630,plain,
meet(sP4_iProver_def,sP7_iProver_def) = meet(sP5_iProver_def,sP6_iProver_def),
inference(theory_normalisation,[status(thm)],[c_1612,c_57,c_55,c_58,c_56]) ).
cnf(c_3794,plain,
meet(sP2_iProver_def,a) = meet(sP3_iProver_def,a),
inference(superposition,[status(thm)],[c_279,c_221]) ).
cnf(c_3881,plain,
meet(sP6_iProver_def,meet(sP2_iProver_def,a)) = meet(sP3_iProver_def,sP7_iProver_def),
inference(superposition,[status(thm)],[c_3794,c_218]) ).
cnf(c_3882,plain,
meet(sP4_iProver_def,meet(sP2_iProver_def,a)) = meet(sP3_iProver_def,sP5_iProver_def),
inference(superposition,[status(thm)],[c_3794,c_217]) ).
cnf(c_3885,plain,
meet(sP2_iProver_def,meet(sP4_iProver_def,a)) = meet(sP3_iProver_def,sP5_iProver_def),
inference(theory_normalisation,[status(thm)],[c_3882,c_57,c_55,c_58,c_56]) ).
cnf(c_3886,plain,
meet(sP2_iProver_def,sP5_iProver_def) = meet(sP3_iProver_def,sP5_iProver_def),
inference(light_normalisation,[status(thm)],[c_3885,c_170]) ).
cnf(c_3887,plain,
meet(sP2_iProver_def,meet(sP6_iProver_def,a)) = meet(sP3_iProver_def,sP7_iProver_def),
inference(theory_normalisation,[status(thm)],[c_3881,c_57,c_55,c_58,c_56]) ).
cnf(c_3888,plain,
meet(sP2_iProver_def,sP7_iProver_def) = meet(sP3_iProver_def,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_3887,c_171]) ).
cnf(c_4284,plain,
meet(sP5_iProver_def,join(sP4_iProver_def,X0)) = meet(a,sP4_iProver_def),
inference(superposition,[status(thm)],[c_280,c_215]) ).
cnf(c_4289,plain,
meet(sP5_iProver_def,join(sP4_iProver_def,X0)) = meet(sP4_iProver_def,a),
inference(theory_normalisation,[status(thm)],[c_4284,c_57,c_55,c_58,c_56]) ).
cnf(c_4290,plain,
meet(sP5_iProver_def,join(sP4_iProver_def,X0)) = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_4289,c_170]) ).
cnf(c_4426,plain,
meet(sP5_iProver_def,join(X0,sP4_iProver_def)) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_56,c_4290]) ).
cnf(c_5838,plain,
join(sP4_iProver_def,meet(sP3_iProver_def,X0)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_283,c_227]) ).
cnf(c_6252,plain,
join(sP4_iProver_def,meet(X0,sP3_iProver_def)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_215,c_5838]) ).
cnf(c_7292,plain,
join(sP4_iProver_def,meet(X0,meet(X1,sP3_iProver_def))) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_57,c_6252]) ).
cnf(c_7708,plain,
join(sP3_iProver_def,sP6_iProver_def) = join(sP4_iProver_def,c),
inference(superposition,[status(thm)],[c_98,c_312]) ).
cnf(c_9863,plain,
join(sP2_iProver_def,b) = join(sP2_iProver_def,sP4_iProver_def),
inference(superposition,[status(thm)],[c_169,c_590]) ).
cnf(c_10766,plain,
meet(sP7_iProver_def,meet(a,X0)) = meet(X0,sP7_iProver_def),
inference(superposition,[status(thm)],[c_55,c_632]) ).
cnf(c_12949,plain,
join(b,sP2_iProver_def) = join(sP1_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_168,c_838]) ).
cnf(c_12953,plain,
join(b,join(sP3_iProver_def,sP6_iProver_def)) = join(sP4_iProver_def,sP6_iProver_def),
inference(superposition,[status(thm)],[c_7708,c_838]) ).
cnf(c_12981,plain,
join(sP1_iProver_def,sP6_iProver_def) = join(sP2_iProver_def,b),
inference(theory_normalisation,[status(thm)],[c_12949,c_57,c_55,c_58,c_56]) ).
cnf(c_12982,plain,
join(sP2_iProver_def,sP4_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_12981,c_1302,c_9863]) ).
cnf(c_12992,plain,
join(sP3_iProver_def,join(sP6_iProver_def,b)) = join(sP4_iProver_def,sP6_iProver_def),
inference(theory_normalisation,[status(thm)],[c_12953,c_57,c_55,c_58,c_56]) ).
cnf(c_12993,plain,
join(sP3_iProver_def,sP6_iProver_def) = join(sP4_iProver_def,sP6_iProver_def),
inference(light_normalisation,[status(thm)],[c_12992,c_190]) ).
cnf(c_13060,plain,
meet(sP4_iProver_def,sP6_iProver_def) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_12982,c_272]) ).
cnf(c_13070,plain,
meet(sP5_iProver_def,sP6_iProver_def) = sP5_iProver_def,
inference(superposition,[status(thm)],[c_12982,c_4426]) ).
cnf(c_13073,plain,
meet(sP4_iProver_def,sP7_iProver_def) = sP5_iProver_def,
inference(demodulation,[status(thm)],[c_1630,c_13070]) ).
cnf(c_13236,plain,
join(sP6_iProver_def,sP4_iProver_def) = sP6_iProver_def,
inference(superposition,[status(thm)],[c_13060,c_198]) ).
cnf(c_13244,plain,
join(sP4_iProver_def,sP6_iProver_def) = sP6_iProver_def,
inference(theory_normalisation,[status(thm)],[c_13236,c_57,c_55,c_58,c_56]) ).
cnf(c_13245,plain,
join(sP3_iProver_def,sP6_iProver_def) = sP6_iProver_def,
inference(light_normalisation,[status(thm)],[c_13244,c_12993]) ).
cnf(c_13248,plain,
join(sP4_iProver_def,c) = sP6_iProver_def,
inference(demodulation,[status(thm)],[c_7708,c_13245]) ).
cnf(c_13616,plain,
meet(sP3_iProver_def,sP5_iProver_def) = meet(sP3_iProver_def,sP7_iProver_def),
inference(superposition,[status(thm)],[c_13073,c_283]) ).
cnf(c_13620,plain,
meet(sP2_iProver_def,sP5_iProver_def) = meet(sP2_iProver_def,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_13616,c_3886,c_3888]) ).
cnf(c_13624,plain,
meet(sP2_iProver_def,sP5_iProver_def) = meet(sP3_iProver_def,sP7_iProver_def),
inference(demodulation,[status(thm)],[c_3888,c_13620]) ).
cnf(c_63102,plain,
join(sP4_iProver_def,meet(a,meet(sP6_iProver_def,join(c,sP1_iProver_def)))) = join(sP4_iProver_def,meet(a,join(c,meet(sP4_iProver_def,b)))),
inference(superposition,[status(thm)],[c_13248,c_397]) ).
cnf(c_63324,plain,
join(sP4_iProver_def,meet(a,join(c,meet(sP4_iProver_def,b)))) = join(sP4_iProver_def,meet(sP6_iProver_def,meet(a,join(sP1_iProver_def,c)))),
inference(theory_normalisation,[status(thm)],[c_63102,c_57,c_55,c_58,c_56]) ).
cnf(c_63325,plain,
join(sP4_iProver_def,meet(a,join(c,b))) = join(sP4_iProver_def,meet(sP6_iProver_def,meet(a,sP2_iProver_def))),
inference(light_normalisation,[status(thm)],[c_63324,c_168,c_760]) ).
cnf(c_63326,plain,
join(sP4_iProver_def,meet(a,join(b,c))) = join(sP4_iProver_def,meet(sP2_iProver_def,meet(sP6_iProver_def,a))),
inference(theory_normalisation,[status(thm)],[c_63325,c_57,c_55,c_58,c_56]) ).
cnf(c_63327,plain,
join(sP4_iProver_def,meet(sP2_iProver_def,sP5_iProver_def)) = join(sP4_iProver_def,sP7_iProver_def),
inference(light_normalisation,[status(thm)],[c_63326,c_98,c_99,c_171,c_13620]) ).
cnf(c_64873,plain,
join(sP4_iProver_def,meet(sP3_iProver_def,sP7_iProver_def)) = sP4_iProver_def,
inference(superposition,[status(thm)],[c_10766,c_7292]) ).
cnf(c_64901,plain,
join(sP4_iProver_def,sP7_iProver_def) = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_64873,c_13624,c_63327]) ).
cnf(c_65672,plain,
meet(sP7_iProver_def,sP4_iProver_def) = sP7_iProver_def,
inference(superposition,[status(thm)],[c_64901,c_272]) ).
cnf(c_65694,plain,
meet(sP4_iProver_def,sP7_iProver_def) = sP7_iProver_def,
inference(theory_normalisation,[status(thm)],[c_65672,c_57,c_55,c_58,c_56]) ).
cnf(c_65695,plain,
sP5_iProver_def = sP7_iProver_def,
inference(light_normalisation,[status(thm)],[c_65694,c_13073]) ).
cnf(c_65696,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_65695,c_100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LAT170-1 : TPTP v8.1.2. Released v3.1.0.
% 0.06/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 17:59:34 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running UEQ theorem proving
% 0.19/0.47 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
% 15.74/2.66 % SZS status Started for theBenchmark.p
% 15.74/2.66 % SZS status Unsatisfiable for theBenchmark.p
% 15.74/2.66
% 15.74/2.66 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 15.74/2.66
% 15.74/2.66 ------ iProver source info
% 15.74/2.66
% 15.74/2.66 git: date: 2024-05-02 19:28:25 +0000
% 15.74/2.66 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 15.74/2.66 git: non_committed_changes: false
% 15.74/2.66
% 15.74/2.66 ------ Parsing...successful
% 15.74/2.66
% 15.74/2.66
% 15.74/2.66
% 15.74/2.66 ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 15.74/2.66
% 15.74/2.66 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 15.74/2.66
% 15.74/2.66 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 15.74/2.66 ------ Proving...
% 15.74/2.66 ------ Problem Properties
% 15.74/2.66
% 15.74/2.66
% 15.74/2.66 clauses 18
% 15.74/2.66 conjectures 1
% 15.74/2.66 EPR 1
% 15.74/2.66 Horn 18
% 15.74/2.66 unary 18
% 15.74/2.66 binary 0
% 15.74/2.66 lits 18
% 15.74/2.66 lits eq 18
% 15.74/2.66 fd_pure 0
% 15.74/2.66 fd_pseudo 0
% 15.74/2.66 fd_cond 0
% 15.74/2.66 fd_pseudo_cond 0
% 15.74/2.66 AC symbols 2
% 15.74/2.66
% 15.74/2.66 ------ Input Options Time Limit: Unbounded
% 15.74/2.66
% 15.74/2.66
% 15.74/2.66 ------
% 15.74/2.66 Current options:
% 15.74/2.66 ------
% 15.74/2.66
% 15.74/2.66
% 15.74/2.66
% 15.74/2.66
% 15.74/2.66 ------ Proving...
% 15.74/2.66
% 15.74/2.66
% 15.74/2.66 % SZS status Unsatisfiable for theBenchmark.p
% 15.74/2.66
% 15.74/2.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.74/2.66
% 15.74/2.67
%------------------------------------------------------------------------------