%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM321+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 11:40:02 EDT 2022
% Result : Theorem 221.76s 215.18s
% Output : Proof 221.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM321+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n016.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 : Wed Jul 6 06:32:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 221.76/215.18 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 221.76/215.19 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 221.83/215.19
% 221.83/215.19 %-----------------------------------------------------
% 221.83/215.19 fof(rdn_positive_less45, axiom, rdn_positive_less(rdnn(n4), rdnn(n5)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_positive_less45)).
% 221.83/215.19 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)).
% 221.83/215.19 fof(rdn_positive_less_transitivity, axiom, ! [_294649, _294652, _294655] : (rdn_positive_less(rdnn(_294649), rdnn(_294652)) & rdn_positive_less(rdnn(_294652), rdnn(_294655)) => rdn_positive_less(rdnn(_294649), rdnn(_294655))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_positive_less_transitivity)).
% 221.83/215.19 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)).
% 221.83/215.19 fof(sum_entry_point_pos_neg_2, axiom, ! [_295108, _295111, _295114, _295117, _295120, _295123] : (rdn_translate(_295108, rdn_pos(_295117)) & rdn_translate(_295111, rdn_neg(_295120)) & rdn_positive_less(_295120, _295117) & rdn_add_with_carry(rdnn(n0), _295120, _295123, _295117) & rdn_translate(_295114, rdn_pos(_295123)) => sum(_295108, _295111, _295114)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_neg_2)).
% 221.83/215.19 fof(sum_n5_nn2_what, conjecture, ? [_295488] : sum(n5, nn2, _295488), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sum_n5_nn2_what)).
% 221.83/215.19 fof(rdn3, axiom, rdn_translate(n3, rdn_pos(rdnn(n3))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn3)).
% 221.83/215.19 fof(rdn_positive_less34, axiom, rdn_positive_less(rdnn(n3), rdnn(n4)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_positive_less34)).
% 221.83/215.19 fof(add_digit_digit_digit, axiom, ! [_295823, _295826, _295829, _295832, _295835] : (rdn_digit_add(rdnn(_295826), rdnn(_295829), rdnn(_295835), rdnn(n0)) & rdn_digit_add(rdnn(_295835), rdnn(_295823), rdnn(_295832), rdnn(n0)) => rdn_add_with_carry(rdnn(_295823), rdnn(_295826), rdnn(_295829), rdnn(_295832))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 221.83/215.19 fof(rdn_positive_less23, axiom, rdn_positive_less(rdnn(n2), rdnn(n3)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_positive_less23)).
% 221.83/215.19 fof(rdnn2, axiom, rdn_translate(nn2, rdn_neg(rdnn(n2))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdnn2)).
% 221.83/215.19 fof(rdn5, axiom, rdn_translate(n5, rdn_pos(rdnn(n5))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn5)).
% 221.83/215.19
% 221.83/215.19 cnf(1, plain, [-(rdn_positive_less(rdnn(n4), rdnn(n5)))], clausify(rdn_positive_less45)).
% 221.83/215.19 cnf(2, plain, [-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n2_n3_n5_n0)).
% 221.83/215.19 cnf(3, plain, [-(rdn_positive_less(rdnn(_171768), rdnn(_171903))), rdn_positive_less(rdnn(_171768), rdnn(_171836)), rdn_positive_less(rdnn(_171836), rdnn(_171903))], clausify(rdn_positive_less_transitivity)).
% 221.83/215.19 cnf(4, plain, [-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n5_n0_n5_n0)).
% 221.83/215.19 cnf(5, plain, [-(sum(_182033, _182131, _182228)), rdn_translate(_182033, rdn_pos(_182324)), rdn_translate(_182131, rdn_neg(_182419)), rdn_positive_less(_182419, _182324), rdn_add_with_carry(rdnn(n0), _182419, _182513, _182324), rdn_translate(_182228, rdn_pos(_182513))], clausify(sum_entry_point_pos_neg_2)).
% 221.83/215.19 cnf(6, plain, [sum(n5, nn2, _227121)], clausify(sum_n5_nn2_what)).
% 221.83/215.19 cnf(7, plain, [-(rdn_translate(n3, rdn_pos(rdnn(n3))))], clausify(rdn3)).
% 221.83/215.19 cnf(8, plain, [-(rdn_positive_less(rdnn(n3), rdnn(n4)))], clausify(rdn_positive_less34)).
% 221.83/215.19 cnf(9, plain, [-(rdn_add_with_carry(rdnn(_187137), rdnn(_187229), rdnn(_187320), rdnn(_187410))), rdn_digit_add(rdnn(_187229), rdnn(_187320), rdnn(_187499), rdnn(n0)), rdn_digit_add(rdnn(_187499), rdnn(_187137), rdnn(_187410), rdnn(n0))], clausify(add_digit_digit_digit)).
% 221.83/215.19 cnf(10, plain, [-(rdn_positive_less(rdnn(n2), rdnn(n3)))], clausify(rdn_positive_less23)).
% 221.83/215.19 cnf(11, plain, [-(rdn_translate(nn2, rdn_neg(rdnn(n2))))], clausify(rdnn2)).
% 221.83/215.19 cnf(12, plain, [-(rdn_translate(n5, rdn_pos(rdnn(n5))))], clausify(rdn5)).
% 221.83/215.19
% 221.83/215.19 cnf('1',plain,[sum(n5, nn2, n3)],start(6,bind([[_227121], [n3]]))).
% 221.83/215.19 cnf('1.1',plain,[-(sum(n5, nn2, n3)), rdn_translate(n5, rdn_pos(rdnn(n5))), rdn_translate(nn2, rdn_neg(rdnn(n2))), rdn_positive_less(rdnn(n2), rdnn(n5)), rdn_add_with_carry(rdnn(n0), rdnn(n2), rdnn(n3), rdnn(n5)), rdn_translate(n3, rdn_pos(rdnn(n3)))],extension(5,bind([[_182033, _182131, _182419, _182324, _182228, _182513], [n5, nn2, rdnn(n2), rdnn(n5), n3, rdnn(n3)]]))).
% 221.83/215.19 cnf('1.1.1',plain,[-(rdn_translate(n5, rdn_pos(rdnn(n5))))],extension(12)).
% 221.83/215.19 cnf('1.1.2',plain,[-(rdn_translate(nn2, rdn_neg(rdnn(n2))))],extension(11)).
% 221.83/215.19 cnf('1.1.3',plain,[-(rdn_positive_less(rdnn(n2), rdnn(n5))), rdn_positive_less(rdnn(n2), rdnn(n4)), rdn_positive_less(rdnn(n4), rdnn(n5))],extension(3,bind([[_171768, _171836, _171903], [n2, n4, n5]]))).
% 221.83/215.19 cnf('1.1.3.1',plain,[-(rdn_positive_less(rdnn(n2), rdnn(n4))), rdn_positive_less(rdnn(n2), rdnn(n3)), rdn_positive_less(rdnn(n3), rdnn(n4))],extension(3,bind([[_171768, _171836, _171903], [n2, n3, n4]]))).
% 221.83/215.20 cnf('1.1.3.1.1',plain,[-(rdn_positive_less(rdnn(n2), rdnn(n3)))],extension(10)).
% 221.83/215.20 cnf('1.1.3.1.2',plain,[-(rdn_positive_less(rdnn(n3), rdnn(n4)))],extension(8)).
% 221.83/215.20 cnf('1.1.3.2',plain,[-(rdn_positive_less(rdnn(n4), rdnn(n5)))],extension(1)).
% 221.83/215.20 cnf('1.1.4',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(9,bind([[_187229, _187320, _187499, _187137, _187410], [n2, n3, n5, n0, n5]]))).
% 221.83/215.20 cnf('1.1.4.1',plain,[-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))],extension(2)).
% 221.83/215.20 cnf('1.1.4.2',plain,[-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))],extension(4)).
% 221.83/215.20 cnf('1.1.5',plain,[-(rdn_translate(n3, rdn_pos(rdnn(n3))))],extension(7)).
% 221.83/215.20 %-----------------------------------------------------
% 221.83/215.20
% 221.84/215.20 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------