TSTP Solution File: AGT026+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : AGT026+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% 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  : 600s
% DateTime : Thu Jul 14 12:00:59 EDT 2022

% Result   : Theorem 8.68s 8.70s
% Output   : Proof 8.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : AGT026+2 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.08/0.14  % Command  : leancop_casc.sh %s %d
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Sat Jun  4 03:08:17 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 8.68/8.70  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.68/8.71  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.73/8.72  
% 8.73/8.72  %-----------------------------------------------------
% 8.73/8.72  fof(query_26, conjecture, ? [_472109, _472112] : ~ accept_population(_472109, _472112, n100), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', query_26)).
% 8.73/8.72  fof(deduced_13, axiom, ~ accept_city(countryamedicalorganization, coastvillage), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax', deduced_13)).
% 8.73/8.72  fof(deduced_220, axiom, accept_population(countryamedicalorganization, other, n0), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax', deduced_220)).
% 8.73/8.72  fof(rdn0, axiom, rdn_translate(n0, rdn_pos(rdnn(n0))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn0)).
% 8.73/8.72  fof(rdn3, axiom, rdn_translate(n3, rdn_pos(rdnn(n3))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn3)).
% 8.73/8.72  fof(rdn12, axiom, rdn_translate(n12, rdn_pos(rdn(rdnn(n2), rdnn(n1)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn12)).
% 8.73/8.72  fof(rdn85, axiom, rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn85)).
% 8.73/8.72  fof(rdn100, axiom, rdn_translate(n100, rdn_pos(rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn100)).
% 8.73/8.72  fof(rdn_digit1, axiom, rdn_non_zero_digit(rdnn(n1)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_digit1)).
% 8.73/8.72  fof(rdn_positive_less_multi_digit_high, axiom, ! [_473670, _473673, _473676, _473679] : (rdn_positive_less(_473673, _473679) => rdn_positive_less(rdn(rdnn(_473670), _473673), rdn(rdnn(_473676), _473679))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_positive_less_multi_digit_high)).
% 8.73/8.72  fof(rdn_extra_digits_positive_less, axiom, ! [_473889, _473892, _473895] : (rdn_non_zero(_473895) => rdn_positive_less(rdnn(_473889), rdn(rdnn(_473892), _473895))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_extra_digits_positive_less)).
% 8.73/8.72  fof(rdn_non_zero_by_digit, axiom, ! [_474073] : (rdn_non_zero_digit(rdnn(_474073)) => rdn_non_zero(rdnn(_474073))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_non_zero_by_digit)).
% 8.73/8.72  fof(rdn_non_zero_by_structure, axiom, ! [_474212, _474215] : (rdn_non_zero(_474215) => rdn_non_zero(rdn(rdnn(_474212), _474215))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_non_zero_by_structure)).
% 8.73/8.72  fof(less_entry_point_pos_pos, axiom, ! [_474369, _474372, _474375, _474378] : (rdn_translate(_474369, rdn_pos(_474375)) & rdn_translate(_474372, rdn_pos(_474378)) & rdn_positive_less(_474375, _474378) => less(_474369, _474372)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', less_entry_point_pos_pos)).
% 8.73/8.72  fof(a1_3, axiom, ! [_474625, _474628, _474631, _474634] : (accept_population(_474625, _474634, _474628) & less(_474631, _474628) => accept_population(_474625, _474634, _474631)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax', a1_3)).
% 8.73/8.72  fof(a2_7, axiom, ! [_474881] : (accept_population(_474881, atheist, n12) & accept_population(_474881, christian, n3) & accept_population(_474881, muslim, n0) & accept_population(_474881, native, n85) & accept_population(_474881, other, n0) <=> accept_city(_474881, coastvillage)), file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+0.ax', a2_7)).
% 8.73/8.72  
% 8.73/8.72  cnf(1, plain, [-(accept_population(_357345, _357388, n100))], clausify(query_26)).
% 8.73/8.72  cnf(2, plain, [_158412 = _158461, -(rdn_pos(_158412) = rdn_pos(_158461))], theory(equality)).
% 8.73/8.72  cnf(3, plain, [-(_144052 = _144052)], theory(equality)).
% 8.73/8.72  cnf(4, plain, [-(rdn_translate(_153597, _153728)), rdn_translate(_153530, _153663), _153530 = _153597, _153663 = _153728], theory(equality)).
% 8.73/8.72  cnf(5, plain, [accept_city(countryamedicalorganization, coastvillage)], clausify(deduced_13)).
% 8.73/8.72  cnf(6, plain, [-(accept_population(countryamedicalorganization, other, n0))], clausify(deduced_220)).
% 8.73/8.72  cnf(7, plain, [-(rdn_translate(n0, rdn_pos(rdnn(n0))))], clausify(rdn0)).
% 8.73/8.72  cnf(8, plain, [-(rdn_translate(n3, rdn_pos(rdnn(n3))))], clausify(rdn3)).
% 8.73/8.72  cnf(9, plain, [-(rdn_translate(n12, rdn_pos(rdn(rdnn(n2), rdnn(n1)))))], clausify(rdn12)).
% 8.73/8.72  cnf(10, plain, [-(rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8)))))], clausify(rdn85)).
% 8.73/8.72  cnf(11, plain, [-(rdn_translate(n100, rdn_pos(rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))))], clausify(rdn100)).
% 8.73/8.72  cnf(12, plain, [-(rdn_non_zero_digit(rdnn(n1)))], clausify(rdn_digit1)).
% 8.73/8.72  cnf(13, plain, [rdn_positive_less(_351364, _351491), -(rdn_positive_less(rdn(rdnn(_351299), _351364), rdn(rdnn(_351428), _351491)))], clausify(rdn_positive_less_multi_digit_high)).
% 8.73/8.72  cnf(14, plain, [rdn_non_zero(_352628), -(rdn_positive_less(rdnn(_352517), rdn(rdnn(_352573), _352628)))], clausify(rdn_extra_digits_positive_less)).
% 8.73/8.72  cnf(15, plain, [rdn_non_zero_digit(rdnn(_352958)), -(rdn_non_zero(rdnn(_352958)))], clausify(rdn_non_zero_by_digit)).
% 8.73/8.72  cnf(16, plain, [rdn_non_zero(_353252), -(rdn_non_zero(rdn(rdnn(_353204), _353252)))], clausify(rdn_non_zero_by_structure)).
% 8.73/8.72  cnf(17, plain, [-(less(_353531, _353602)), rdn_translate(_353531, rdn_pos(_353672)), rdn_translate(_353602, rdn_pos(_353741)), rdn_positive_less(_353672, _353741)], clausify(less_entry_point_pos_pos)).
% 8.73/8.72  cnf(18, plain, [-(accept_population(_160351, _160537, _160476)), accept_population(_160351, _160537, _160414), less(_160476, _160414)], clausify(a1_3)).
% 8.73/8.72  cnf(19, plain, [-(accept_city(_167430, coastvillage)), accept_population(_167430, atheist, n12), accept_population(_167430, christian, n3), accept_population(_167430, muslim, n0), accept_population(_167430, native, n85), accept_population(_167430, other, n0)], clausify(a2_7)).
% 8.73/8.72  
% 8.73/8.72  cnf('1',plain,[accept_city(countryamedicalorganization, coastvillage)],start(5)).
% 8.73/8.72  cnf('1.1',plain,[-(accept_city(countryamedicalorganization, coastvillage)), accept_population(countryamedicalorganization, atheist, n12), accept_population(countryamedicalorganization, christian, n3), accept_population(countryamedicalorganization, muslim, n0), accept_population(countryamedicalorganization, native, n85), accept_population(countryamedicalorganization, other, n0)],extension(19,bind([[_167430], [countryamedicalorganization]]))).
% 8.73/8.72  cnf('1.1.1',plain,[-(accept_population(countryamedicalorganization, atheist, n12)), accept_population(countryamedicalorganization, atheist, n100), less(n12, n100)],extension(18,bind([[_160351, _160537, _160476, _160414], [countryamedicalorganization, atheist, n12, n100]]))).
% 8.73/8.72  cnf('1.1.1.1',plain,[-(accept_population(countryamedicalorganization, atheist, n100))],extension(1,bind([[_357345, _357388], [countryamedicalorganization, atheist]]))).
% 8.73/8.72  cnf('1.1.1.2',plain,[-(less(n12, n100)), rdn_translate(n12, rdn_pos(rdn(rdnn(n2), rdnn(n1)))), rdn_translate(n100, rdn_pos(rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))), rdn_positive_less(rdn(rdnn(n2), rdnn(n1)), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))],extension(17,bind([[_353531, _353602, _353672, _353741], [n12, n100, rdn(rdnn(n2), rdnn(n1)), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1)))]]))).
% 8.73/8.72  cnf('1.1.1.2.1',plain,[-(rdn_translate(n12, rdn_pos(rdn(rdnn(n2), rdnn(n1)))))],extension(9)).
% 8.73/8.72  cnf('1.1.1.2.2',plain,[-(rdn_translate(n100, rdn_pos(rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))))],extension(11)).
% 8.73/8.72  cnf('1.1.1.2.3',plain,[-(rdn_positive_less(rdn(rdnn(n2), rdnn(n1)), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))), rdn_positive_less(rdnn(n1), rdn(rdnn(n0), rdnn(n1)))],extension(13,bind([[_351299, _351428, _351364, _351491], [n2, n0, rdnn(n1), rdn(rdnn(n0), rdnn(n1))]]))).
% 8.73/8.72  cnf('1.1.1.2.3.1',plain,[-(rdn_positive_less(rdnn(n1), rdn(rdnn(n0), rdnn(n1)))), rdn_non_zero(rdnn(n1))],extension(14,bind([[_352517, _352573, _352628], [n1, n0, rdnn(n1)]]))).
% 8.73/8.72  cnf('1.1.1.2.3.1.1',plain,[-(rdn_non_zero(rdnn(n1))), rdn_non_zero_digit(rdnn(n1))],extension(15,bind([[_352958], [n1]]))).
% 8.73/8.72  cnf('1.1.1.2.3.1.1.1',plain,[-(rdn_non_zero_digit(rdnn(n1)))],extension(12)).
% 8.73/8.72  cnf('1.1.2',plain,[-(accept_population(countryamedicalorganization, christian, n3)), accept_population(countryamedicalorganization, christian, n100), less(n3, n100)],extension(18,bind([[_160351, _160537, _160476, _160414], [countryamedicalorganization, christian, n3, n100]]))).
% 8.73/8.72  cnf('1.1.2.1',plain,[-(accept_population(countryamedicalorganization, christian, n100))],extension(1,bind([[_357345, _357388], [countryamedicalorganization, christian]]))).
% 8.73/8.72  cnf('1.1.2.2',plain,[-(less(n3, n100)), rdn_translate(n3, rdn_pos(rdnn(n3))), rdn_translate(n100, rdn_pos(rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))), rdn_positive_less(rdnn(n3), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))],extension(17,bind([[_353531, _353602, _353672, _353741], [n3, n100, rdnn(n3), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1)))]]))).
% 8.73/8.72  cnf('1.1.2.2.1',plain,[-(rdn_translate(n3, rdn_pos(rdnn(n3))))],extension(8)).
% 8.73/8.72  cnf('1.1.2.2.2',plain,[-(rdn_translate(n100, rdn_pos(rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))))],extension(11)).
% 8.73/8.72  cnf('1.1.2.2.3',plain,[-(rdn_positive_less(rdnn(n3), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))), rdn_non_zero(rdn(rdnn(n0), rdnn(n1)))],extension(14,bind([[_352517, _352573, _352628], [n3, n0, rdn(rdnn(n0), rdnn(n1))]]))).
% 8.73/8.72  cnf('1.1.2.2.3.1',plain,[-(rdn_non_zero(rdn(rdnn(n0), rdnn(n1)))), rdn_non_zero(rdnn(n1))],extension(16,bind([[_353204, _353252], [n0, rdnn(n1)]]))).
% 8.73/8.72  cnf('1.1.2.2.3.1.1',plain,[-(rdn_non_zero(rdnn(n1))), rdn_non_zero_digit(rdnn(n1))],extension(15,bind([[_352958], [n1]]))).
% 8.73/8.72  cnf('1.1.2.2.3.1.1.1',plain,[-(rdn_non_zero_digit(rdnn(n1)))],extension(12)).
% 8.73/8.72  cnf('1.1.3',plain,[-(accept_population(countryamedicalorganization, muslim, n0)), accept_population(countryamedicalorganization, muslim, n100), less(n0, n100)],extension(18,bind([[_160351, _160537, _160476, _160414], [countryamedicalorganization, muslim, n0, n100]]))).
% 8.73/8.72  cnf('1.1.3.1',plain,[-(accept_population(countryamedicalorganization, muslim, n100))],extension(1,bind([[_357345, _357388], [countryamedicalorganization, muslim]]))).
% 8.73/8.72  cnf('1.1.3.2',plain,[-(less(n0, n100)), rdn_translate(n0, rdn_pos(rdnn(n0))), rdn_translate(n100, rdn_pos(rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))), rdn_positive_less(rdnn(n0), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))],extension(17,bind([[_353531, _353602, _353672, _353741], [n0, n100, rdnn(n0), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1)))]]))).
% 8.73/8.72  cnf('1.1.3.2.1',plain,[-(rdn_translate(n0, rdn_pos(rdnn(n0)))), rdn_translate(n0, rdn_pos(rdnn(n0))), n0 = n0, rdn_pos(rdnn(n0)) = rdn_pos(rdnn(n0))],extension(4,bind([[_153530, _153597, _153663, _153728], [n0, n0, rdn_pos(rdnn(n0)), rdn_pos(rdnn(n0))]]))).
% 8.73/8.72  cnf('1.1.3.2.1.1',plain,[-(rdn_translate(n0, rdn_pos(rdnn(n0)))), rdn_translate(n0, rdn_pos(rdnn(n0))), n0 = n0, rdn_pos(rdnn(n0)) = rdn_pos(rdnn(n0))],extension(4,bind([[_153530, _153597, _153663, _153728], [n0, n0, rdn_pos(rdnn(n0)), rdn_pos(rdnn(n0))]]))).
% 8.73/8.72  cnf('1.1.3.2.1.1.1',plain,[-(rdn_translate(n0, rdn_pos(rdnn(n0))))],extension(7)).
% 8.73/8.72  cnf('1.1.3.2.1.1.2',plain,[-(n0 = n0)],extension(3,bind([[_144052], [n0]]))).
% 8.73/8.72  cnf('1.1.3.2.1.1.3',plain,[-(rdn_pos(rdnn(n0)) = rdn_pos(rdnn(n0)))],extension(3,bind([[_144052], [rdn_pos(rdnn(n0))]]))).
% 8.73/8.72  cnf('1.1.3.2.1.2',plain,[-(n0 = n0)],extension(3,bind([[_144052], [n0]]))).
% 8.73/8.72  cnf('1.1.3.2.1.3',plain,[-(rdn_pos(rdnn(n0)) = rdn_pos(rdnn(n0))), rdnn(n0) = rdnn(n0)],extension(2,bind([[_158412, _158461], [rdnn(n0), rdnn(n0)]]))).
% 8.73/8.72  cnf('1.1.3.2.1.3.1',plain,[-(rdnn(n0) = rdnn(n0))],extension(3,bind([[_144052], [rdnn(n0)]]))).
% 8.73/8.72  cnf('1.1.3.2.2',plain,[-(rdn_translate(n100, rdn_pos(rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))))],extension(11)).
% 8.73/8.72  cnf('1.1.3.2.3',plain,[-(rdn_positive_less(rdnn(n0), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))), rdn_non_zero(rdn(rdnn(n0), rdnn(n1)))],extension(14,bind([[_352517, _352573, _352628], [n0, n0, rdn(rdnn(n0), rdnn(n1))]]))).
% 8.73/8.72  cnf('1.1.3.2.3.1',plain,[-(rdn_non_zero(rdn(rdnn(n0), rdnn(n1)))), rdn_non_zero(rdnn(n1))],extension(16,bind([[_353204, _353252], [n0, rdnn(n1)]]))).
% 8.73/8.72  cnf('1.1.3.2.3.1.1',plain,[-(rdn_non_zero(rdnn(n1))), rdn_non_zero_digit(rdnn(n1))],extension(15,bind([[_352958], [n1]]))).
% 8.73/8.72  cnf('1.1.3.2.3.1.1.1',plain,[-(rdn_non_zero_digit(rdnn(n1)))],extension(12)).
% 8.73/8.72  cnf('1.1.4',plain,[-(accept_population(countryamedicalorganization, native, n85)), accept_population(countryamedicalorganization, native, n100), less(n85, n100)],extension(18,bind([[_160351, _160537, _160476, _160414], [countryamedicalorganization, native, n85, n100]]))).
% 8.73/8.72  cnf('1.1.4.1',plain,[-(accept_population(countryamedicalorganization, native, n100))],extension(1,bind([[_357345, _357388], [countryamedicalorganization, native]]))).
% 8.73/8.72  cnf('1.1.4.2',plain,[-(less(n85, n100)), rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8)))), rdn_translate(n100, rdn_pos(rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))), rdn_positive_less(rdn(rdnn(n5), rdnn(n8)), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))],extension(17,bind([[_353531, _353602, _353672, _353741], [n85, n100, rdn(rdnn(n5), rdnn(n8)), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1)))]]))).
% 8.73/8.72  cnf('1.1.4.2.1',plain,[-(rdn_translate(n85, rdn_pos(rdn(rdnn(n5), rdnn(n8)))))],extension(10)).
% 8.73/8.72  cnf('1.1.4.2.2',plain,[-(rdn_translate(n100, rdn_pos(rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))))],extension(11)).
% 8.73/8.72  cnf('1.1.4.2.3',plain,[-(rdn_positive_less(rdn(rdnn(n5), rdnn(n8)), rdn(rdnn(n0), rdn(rdnn(n0), rdnn(n1))))), rdn_positive_less(rdnn(n8), rdn(rdnn(n0), rdnn(n1)))],extension(13,bind([[_351299, _351428, _351364, _351491], [n5, n0, rdnn(n8), rdn(rdnn(n0), rdnn(n1))]]))).
% 8.73/8.72  cnf('1.1.4.2.3.1',plain,[-(rdn_positive_less(rdnn(n8), rdn(rdnn(n0), rdnn(n1)))), rdn_non_zero(rdnn(n1))],extension(14,bind([[_352517, _352573, _352628], [n8, n0, rdnn(n1)]]))).
% 8.73/8.72  cnf('1.1.4.2.3.1.1',plain,[-(rdn_non_zero(rdnn(n1))), rdn_non_zero_digit(rdnn(n1))],extension(15,bind([[_352958], [n1]]))).
% 8.73/8.72  cnf('1.1.4.2.3.1.1.1',plain,[-(rdn_non_zero_digit(rdnn(n1)))],extension(12)).
% 8.73/8.72  cnf('1.1.5',plain,[-(accept_population(countryamedicalorganization, other, n0))],extension(6)).
% 8.73/8.72  %-----------------------------------------------------
% 8.73/8.72  
% 8.73/8.73  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------