TSTP Solution File: NUM345+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM345+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% 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 : 600s
% DateTime : Mon Jul 18 11:40:10 EDT 2022
% Result : Theorem 237.48s 229.65s
% Output : Proof 237.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM345+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 12:34:01 EDT 2022
% 0.18/0.33 % CPUTime :
% 237.48/229.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 237.48/229.66 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 237.48/229.66
% 237.48/229.66 %-----------------------------------------------------
% 237.48/229.66 fof(rdn_digit_add_n5_n0_n5_n0, axiom, rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n5_n0_n5_n0)).
% 237.48/229.66 fof(less_entry_point_pos_pos, axiom, ! [_359888, _359891, _359894, _359897] : (rdn_translate(_359888, rdn_pos(_359894)) & rdn_translate(_359891, rdn_pos(_359897)) & rdn_positive_less(_359894, _359897) => less(_359888, _359891)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', less_entry_point_pos_pos)).
% 237.48/229.66 fof(rdn_positive_less56, axiom, rdn_positive_less(rdnn(n5), rdnn(n6)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_positive_less56)).
% 237.48/229.66 fof(rdn5, axiom, rdn_translate(n5, rdn_pos(rdnn(n5))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn5)).
% 237.48/229.66 fof(unique_sum, axiom, ! [_360359, _360362, _360365, _360368] : (sum(_360359, _360362, _360365) & sum(_360359, _360362, _360368) => _360365 = _360368), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', unique_sum)).
% 237.48/229.66 fof(sum_n2_n3_less_n6, conjecture, ! [_360574] : (sum(n2, n3, _360574) => less(_360574, n6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sum_n2_n3_less_n6)).
% 237.48/229.66 fof(sum_entry_point_pos_pos, axiom, ! [_360750, _360753, _360756, _360759, _360762, _360765] : (rdn_translate(_360750, rdn_pos(_360759)) & rdn_translate(_360753, rdn_pos(_360762)) & rdn_add_with_carry(rdnn(n0), _360759, _360762, _360765) & rdn_translate(_360756, rdn_pos(_360765)) => sum(_360750, _360753, _360756)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 237.48/229.66 fof(add_digit_digit_digit, axiom, ! [_361164, _361167, _361170, _361173, _361176] : (rdn_digit_add(rdnn(_361167), rdnn(_361170), rdnn(_361176), rdnn(n0)) & rdn_digit_add(rdnn(_361176), rdnn(_361164), rdnn(_361173), rdnn(n0)) => rdn_add_with_carry(rdnn(_361164), rdnn(_361167), rdnn(_361170), rdnn(_361173))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 237.48/229.66 fof(rdn2, axiom, rdn_translate(n2, rdn_pos(rdnn(n2))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn2)).
% 237.48/229.66 fof(rdn_digit_add_n2_n3_n5_n0, axiom, rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n2_n3_n5_n0)).
% 237.48/229.66 fof(rdn3, axiom, rdn_translate(n3, rdn_pos(rdnn(n3))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn3)).
% 237.48/229.66 fof(rdn6, axiom, rdn_translate(n6, rdn_pos(rdnn(n6))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn6)).
% 237.48/229.66
% 237.48/229.66 cnf(1, plain, [-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n5_n0_n5_n0)).
% 237.48/229.66 cnf(2, plain, [-(less(_174677, _174748)), rdn_translate(_174677, rdn_pos(_174818)), rdn_translate(_174748, rdn_pos(_174887)), rdn_positive_less(_174818, _174887)], clausify(less_entry_point_pos_pos)).
% 237.48/229.66 cnf(3, plain, [-(rdn_positive_less(rdnn(n5), rdnn(n6)))], clausify(rdn_positive_less56)).
% 237.48/229.66 cnf(4, plain, [-(_96630 = _96630)], theory(equality)).
% 237.48/229.66 cnf(5, plain, [-(rdn_translate(n5, rdn_pos(rdnn(n5))))], clausify(rdn5)).
% 237.48/229.66 cnf(6, plain, [-(rdn_translate(_104148, _104279)), rdn_translate(_104081, _104214), _104081 = _104148, _104214 = _104279], theory(equality)).
% 237.48/229.66 cnf(7, plain, [-(_184974 = _185035), sum(_184849, _184912, _184974), sum(_184849, _184912, _185035)], clausify(unique_sum)).
% 237.48/229.66 cnf(8, plain, [-(sum(n2, n3, 1 ^ []))], clausify(sum_n2_n3_less_n6)).
% 237.48/229.66 cnf(9, plain, [-(sum(_178425, _178517, _178608)), rdn_translate(_178425, rdn_pos(_178698)), rdn_translate(_178517, rdn_pos(_178787)), rdn_add_with_carry(rdnn(n0), _178698, _178787, _178875), rdn_translate(_178608, rdn_pos(_178875))], clausify(sum_entry_point_pos_pos)).
% 237.48/229.66 cnf(10, plain, [-(rdn_add_with_carry(rdnn(_187215), rdnn(_187307), rdnn(_187398), rdnn(_187488))), rdn_digit_add(rdnn(_187307), rdnn(_187398), rdnn(_187577), rdnn(n0)), rdn_digit_add(rdnn(_187577), rdnn(_187215), rdnn(_187488), rdnn(n0))], clausify(add_digit_digit_digit)).
% 237.48/229.66 cnf(11, plain, [-(rdn_translate(n2, rdn_pos(rdnn(n2))))], clausify(rdn2)).
% 237.48/229.66 cnf(12, plain, [-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n2_n3_n5_n0)).
% 237.48/229.66 cnf(13, plain, [-(rdn_translate(n3, rdn_pos(rdnn(n3))))], clausify(rdn3)).
% 237.48/229.66 cnf(14, plain, [-(rdn_translate(n6, rdn_pos(rdnn(n6))))], clausify(rdn6)).
% 237.48/229.66 cnf(15, plain, [less(1 ^ [], n6)], clausify(sum_n2_n3_less_n6)).
% 237.48/229.66
% 237.48/229.66 cnf('1',plain,[-(sum(n2, n3, 1 ^ []))],start(8)).
% 237.48/229.66 cnf('1.1',plain,[sum(n2, n3, 1 ^ []), -(n5 = 1 ^ []), sum(n2, n3, n5)],extension(7,bind([[_185035, _184849, _184912, _184974], [1 ^ [], n2, n3, n5]]))).
% 237.48/229.66 cnf('1.1.1',plain,[n5 = 1 ^ [], -(rdn_translate(1 ^ [], rdn_pos(rdnn(n5)))), rdn_translate(n5, rdn_pos(rdnn(n5))), rdn_pos(rdnn(n5)) = rdn_pos(rdnn(n5))],extension(6,bind([[_104148, _104081, _104214, _104279], [1 ^ [], n5, rdn_pos(rdnn(n5)), rdn_pos(rdnn(n5))]]))).
% 237.48/229.66 cnf('1.1.1.1',plain,[rdn_translate(1 ^ [], rdn_pos(rdnn(n5))), -(less(1 ^ [], n6)), rdn_translate(n6, rdn_pos(rdnn(n6))), rdn_positive_less(rdnn(n5), rdnn(n6))],extension(2,bind([[_174677, _174748, _174818, _174887], [1 ^ [], n6, rdnn(n5), rdnn(n6)]]))).
% 237.48/229.66 cnf('1.1.1.1.1',plain,[less(1 ^ [], n6)],extension(15)).
% 237.48/229.66 cnf('1.1.1.1.2',plain,[-(rdn_translate(n6, rdn_pos(rdnn(n6))))],extension(14)).
% 237.48/229.66 cnf('1.1.1.1.3',plain,[-(rdn_positive_less(rdnn(n5), rdnn(n6)))],extension(3)).
% 237.48/229.66 cnf('1.1.1.2',plain,[-(rdn_translate(n5, rdn_pos(rdnn(n5))))],extension(5)).
% 237.48/229.66 cnf('1.1.1.3',plain,[-(rdn_pos(rdnn(n5)) = rdn_pos(rdnn(n5)))],extension(4,bind([[_96630], [rdn_pos(rdnn(n5))]]))).
% 237.48/229.66 cnf('1.1.2',plain,[-(sum(n2, n3, n5)), rdn_translate(n2, rdn_pos(rdnn(n2))), rdn_translate(n3, rdn_pos(rdnn(n3))), rdn_add_with_carry(rdnn(n0), rdnn(n2), rdnn(n3), rdnn(n5)), rdn_translate(n5, rdn_pos(rdnn(n5)))],extension(9,bind([[_178425, _178517, _178698, _178787, _178608, _178875], [n2, n3, rdnn(n2), rdnn(n3), n5, rdnn(n5)]]))).
% 237.48/229.66 cnf('1.1.2.1',plain,[-(rdn_translate(n2, rdn_pos(rdnn(n2))))],extension(11)).
% 237.48/229.66 cnf('1.1.2.2',plain,[-(rdn_translate(n3, rdn_pos(rdnn(n3))))],extension(13)).
% 237.48/229.66 cnf('1.1.2.3',plain,[-(rdn_add_with_carry(rdnn(n0), rdnn(n2), rdnn(n3), rdnn(n5))), rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)), rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0))],extension(10,bind([[_187307, _187398, _187577, _187215, _187488], [n2, n3, n5, n0, n5]]))).
% 237.48/229.66 cnf('1.1.2.3.1',plain,[-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))],extension(12)).
% 237.48/229.66 cnf('1.1.2.3.2',plain,[-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))],extension(1)).
% 237.48/229.66 cnf('1.1.2.4',plain,[-(rdn_translate(n5, rdn_pos(rdnn(n5))))],extension(5)).
% 237.48/229.66 %-----------------------------------------------------
% 237.48/229.67
% 237.51/229.67 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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