TSTP Solution File: NUM346+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM346+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 238.66s 230.18s
% Output : Proof 238.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM346+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 00:12:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 238.66/230.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 238.66/230.19 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 238.78/230.19
% 238.78/230.19 %-----------------------------------------------------
% 238.78/230.19 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)).
% 238.78/230.19 fof(less_entry_point_pos_pos, axiom, ! [_359892, _359895, _359898, _359901] : (rdn_translate(_359892, rdn_pos(_359898)) & rdn_translate(_359895, rdn_pos(_359901)) & rdn_positive_less(_359898, _359901) => less(_359892, _359895)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', less_entry_point_pos_pos)).
% 238.78/230.19 fof(rdn4, axiom, rdn_translate(n4, rdn_pos(rdnn(n4))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn4)).
% 238.78/230.19 fof(rdn5, axiom, rdn_translate(n5, rdn_pos(rdnn(n5))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn5)).
% 238.78/230.19 fof(unique_sum, axiom, ! [_360363, _360366, _360369, _360372] : (sum(_360363, _360366, _360369) & sum(_360363, _360366, _360372) => _360369 = _360372), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', unique_sum)).
% 238.78/230.19 fof(sum_n2_n3_greater_n4, conjecture, ! [_360578] : (sum(n2, n3, _360578) => less(n4, _360578)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sum_n2_n3_greater_n4)).
% 238.78/230.19 fof(sum_entry_point_pos_pos, axiom, ! [_360754, _360757, _360760, _360763, _360766, _360769] : (rdn_translate(_360754, rdn_pos(_360763)) & rdn_translate(_360757, rdn_pos(_360766)) & rdn_add_with_carry(rdnn(n0), _360763, _360766, _360769) & rdn_translate(_360760, rdn_pos(_360769)) => sum(_360754, _360757, _360760)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 238.78/230.19 fof(rdn_positive_less45, axiom, rdn_positive_less(rdnn(n4), rdnn(n5)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_positive_less45)).
% 238.78/230.19 fof(add_digit_digit_digit, axiom, ! [_361225, _361228, _361231, _361234, _361237] : (rdn_digit_add(rdnn(_361228), rdnn(_361231), rdnn(_361237), rdnn(n0)) & rdn_digit_add(rdnn(_361237), rdnn(_361225), rdnn(_361234), rdnn(n0)) => rdn_add_with_carry(rdnn(_361225), rdnn(_361228), rdnn(_361231), rdnn(_361234))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 238.78/230.19 fof(rdn2, axiom, rdn_translate(n2, rdn_pos(rdnn(n2))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn2)).
% 238.78/230.19 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)).
% 238.78/230.19 fof(rdn3, axiom, rdn_translate(n3, rdn_pos(rdnn(n3))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn3)).
% 238.78/230.19
% 238.78/230.19 cnf(1, plain, [-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n5_n0_n5_n0)).
% 238.78/230.19 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)).
% 238.78/230.19 cnf(3, plain, [-(rdn_translate(n4, rdn_pos(rdnn(n4))))], clausify(rdn4)).
% 238.78/230.19 cnf(4, plain, [-(_96630 = _96630)], theory(equality)).
% 238.78/230.19 cnf(5, plain, [-(rdn_translate(n5, rdn_pos(rdnn(n5))))], clausify(rdn5)).
% 238.78/230.19 cnf(6, plain, [-(rdn_translate(_104148, _104279)), rdn_translate(_104081, _104214), _104081 = _104148, _104214 = _104279], theory(equality)).
% 238.78/230.19 cnf(7, plain, [-(_184974 = _185035), sum(_184849, _184912, _184974), sum(_184849, _184912, _185035)], clausify(unique_sum)).
% 238.78/230.19 cnf(8, plain, [-(sum(n2, n3, 1 ^ []))], clausify(sum_n2_n3_greater_n4)).
% 238.78/230.19 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)).
% 238.78/230.19 cnf(10, plain, [-(rdn_positive_less(rdnn(n4), rdnn(n5)))], clausify(rdn_positive_less45)).
% 238.78/230.19 cnf(11, 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)).
% 238.78/230.19 cnf(12, plain, [-(rdn_translate(n2, rdn_pos(rdnn(n2))))], clausify(rdn2)).
% 238.78/230.19 cnf(13, plain, [-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n2_n3_n5_n0)).
% 238.78/230.19 cnf(14, plain, [-(rdn_translate(n3, rdn_pos(rdnn(n3))))], clausify(rdn3)).
% 238.78/230.19 cnf(15, plain, [less(n4, 1 ^ [])], clausify(sum_n2_n3_greater_n4)).
% 238.78/230.19
% 238.78/230.19 cnf('1',plain,[-(sum(n2, n3, 1 ^ []))],start(8)).
% 238.78/230.19 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]]))).
% 238.78/230.19 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))]]))).
% 238.78/230.19 cnf('1.1.1.1',plain,[rdn_translate(1 ^ [], rdn_pos(rdnn(n5))), -(less(n4, 1 ^ [])), rdn_translate(n4, rdn_pos(rdnn(n4))), rdn_positive_less(rdnn(n4), rdnn(n5))],extension(2,bind([[_174748, _174677, _174818, _174887], [1 ^ [], n4, rdnn(n4), rdnn(n5)]]))).
% 238.78/230.19 cnf('1.1.1.1.1',plain,[less(n4, 1 ^ [])],extension(15)).
% 238.78/230.19 cnf('1.1.1.1.2',plain,[-(rdn_translate(n4, rdn_pos(rdnn(n4))))],extension(3)).
% 238.78/230.19 cnf('1.1.1.1.3',plain,[-(rdn_positive_less(rdnn(n4), rdnn(n5)))],extension(10)).
% 238.78/230.19 cnf('1.1.1.2',plain,[-(rdn_translate(n5, rdn_pos(rdnn(n5))))],extension(5)).
% 238.78/230.19 cnf('1.1.1.3',plain,[-(rdn_pos(rdnn(n5)) = rdn_pos(rdnn(n5)))],extension(4,bind([[_96630], [rdn_pos(rdnn(n5))]]))).
% 238.78/230.19 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)]]))).
% 238.78/230.19 cnf('1.1.2.1',plain,[-(rdn_translate(n2, rdn_pos(rdnn(n2))))],extension(12)).
% 238.78/230.19 cnf('1.1.2.2',plain,[-(rdn_translate(n3, rdn_pos(rdnn(n3))))],extension(14)).
% 238.78/230.19 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(11,bind([[_187307, _187398, _187577, _187215, _187488], [n2, n3, n5, n0, n5]]))).
% 238.78/230.19 cnf('1.1.2.3.1',plain,[-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))],extension(13)).
% 238.78/230.19 cnf('1.1.2.3.2',plain,[-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))],extension(1)).
% 238.78/230.19 cnf('1.1.2.4',plain,[-(rdn_translate(n5, rdn_pos(rdnn(n5))))],extension(5)).
% 238.78/230.19 %-----------------------------------------------------
% 238.78/230.20
% 238.78/230.20 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------