TSTP Solution File: NUM317+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM317+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 11:40:00 EDT 2022
% Result : Theorem 223.98s 216.25s
% Output : Proof 223.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : NUM317+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jul 6 12:48:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 223.98/216.25 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 223.98/216.26 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 223.98/216.26
% 223.98/216.26 %-----------------------------------------------------
% 223.98/216.26 fof(rdn_positive_less45, axiom, rdn_positive_less(rdnn(n4), rdnn(n5)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_positive_less45)).
% 223.98/216.26 fof(rdn_digit_add_n2_n3_n5_n0, axiom, rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n2_n3_n5_n0)).
% 223.98/216.26 fof(rdn_positive_less_transitivity, axiom, ! [_294432, _294435, _294438] : (rdn_positive_less(rdnn(_294432), rdnn(_294435)) & rdn_positive_less(rdnn(_294435), rdnn(_294438)) => rdn_positive_less(rdnn(_294432), rdnn(_294438))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_positive_less_transitivity)).
% 223.98/216.26 fof(rdn_digit_add_n5_n0_n5_n0, axiom, rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n5_n0_n5_n0)).
% 223.98/216.26 fof(sum_entry_point_pos_neg_2, axiom, ! [_294891, _294894, _294897, _294900, _294903, _294906] : (rdn_translate(_294891, rdn_pos(_294900)) & rdn_translate(_294894, rdn_neg(_294903)) & rdn_positive_less(_294903, _294900) & rdn_add_with_carry(rdnn(n0), _294903, _294906, _294900) & rdn_translate(_294897, rdn_pos(_294906)) => sum(_294891, _294894, _294897)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_neg_2)).
% 223.98/216.26 fof(sum_n5_nn2_n3, conjecture, sum(n5, nn2, n3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sum_n5_nn2_n3)).
% 223.98/216.26 fof(rdn3, axiom, rdn_translate(n3, rdn_pos(rdnn(n3))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn3)).
% 223.98/216.26 fof(rdn_positive_less34, axiom, rdn_positive_less(rdnn(n3), rdnn(n4)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_positive_less34)).
% 223.98/216.26 fof(add_digit_digit_digit, axiom, ! [_295545, _295548, _295551, _295554, _295557] : (rdn_digit_add(rdnn(_295548), rdnn(_295551), rdnn(_295557), rdnn(n0)) & rdn_digit_add(rdnn(_295557), rdnn(_295545), rdnn(_295554), rdnn(n0)) => rdn_add_with_carry(rdnn(_295545), rdnn(_295548), rdnn(_295551), rdnn(_295554))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 223.98/216.26 fof(rdn_positive_less23, axiom, rdn_positive_less(rdnn(n2), rdnn(n3)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_positive_less23)).
% 223.98/216.26 fof(rdnn2, axiom, rdn_translate(nn2, rdn_neg(rdnn(n2))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdnn2)).
% 223.98/216.26 fof(rdn5, axiom, rdn_translate(n5, rdn_pos(rdnn(n5))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn5)).
% 223.98/216.26
% 223.98/216.26 cnf(1, plain, [-(rdn_positive_less(rdnn(n4), rdnn(n5)))], clausify(rdn_positive_less45)).
% 223.98/216.26 cnf(2, plain, [-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n2_n3_n5_n0)).
% 223.98/216.26 cnf(3, plain, [-(rdn_positive_less(rdnn(_171733), rdnn(_171868))), rdn_positive_less(rdnn(_171733), rdnn(_171801)), rdn_positive_less(rdnn(_171801), rdnn(_171868))], clausify(rdn_positive_less_transitivity)).
% 223.98/216.26 cnf(4, plain, [-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n5_n0_n5_n0)).
% 223.98/216.26 cnf(5, plain, [-(sum(_181998, _182096, _182193)), rdn_translate(_181998, rdn_pos(_182289)), rdn_translate(_182096, rdn_neg(_182384)), rdn_positive_less(_182384, _182289), rdn_add_with_carry(rdnn(n0), _182384, _182478, _182289), rdn_translate(_182193, rdn_pos(_182478))], clausify(sum_entry_point_pos_neg_2)).
% 223.98/216.26 cnf(6, plain, [sum(n5, nn2, n3)], clausify(sum_n5_nn2_n3)).
% 223.98/216.26 cnf(7, plain, [-(rdn_translate(n3, rdn_pos(rdnn(n3))))], clausify(rdn3)).
% 223.98/216.26 cnf(8, plain, [-(rdn_positive_less(rdnn(n3), rdnn(n4)))], clausify(rdn_positive_less34)).
% 223.98/216.26 cnf(9, plain, [-(rdn_add_with_carry(rdnn(_187102), rdnn(_187194), rdnn(_187285), rdnn(_187375))), rdn_digit_add(rdnn(_187194), rdnn(_187285), rdnn(_187464), rdnn(n0)), rdn_digit_add(rdnn(_187464), rdnn(_187102), rdnn(_187375), rdnn(n0))], clausify(add_digit_digit_digit)).
% 223.98/216.26 cnf(10, plain, [-(rdn_positive_less(rdnn(n2), rdnn(n3)))], clausify(rdn_positive_less23)).
% 223.98/216.26 cnf(11, plain, [-(rdn_translate(nn2, rdn_neg(rdnn(n2))))], clausify(rdnn2)).
% 223.98/216.26 cnf(12, plain, [-(rdn_translate(n5, rdn_pos(rdnn(n5))))], clausify(rdn5)).
% 223.98/216.26
% 223.98/216.26 cnf('1',plain,[sum(n5, nn2, n3)],start(6)).
% 223.98/216.26 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([[_181998, _182096, _182384, _182289, _182193, _182478], [n5, nn2, rdnn(n2), rdnn(n5), n3, rdnn(n3)]]))).
% 223.98/216.26 cnf('1.1.1',plain,[-(rdn_translate(n5, rdn_pos(rdnn(n5))))],extension(12)).
% 223.98/216.26 cnf('1.1.2',plain,[-(rdn_translate(nn2, rdn_neg(rdnn(n2))))],extension(11)).
% 223.98/216.26 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([[_171733, _171801, _171868], [n2, n4, n5]]))).
% 223.98/216.26 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([[_171733, _171801, _171868], [n2, n3, n4]]))).
% 223.98/216.26 cnf('1.1.3.1.1',plain,[-(rdn_positive_less(rdnn(n2), rdnn(n3)))],extension(10)).
% 223.98/216.26 cnf('1.1.3.1.2',plain,[-(rdn_positive_less(rdnn(n3), rdnn(n4)))],extension(8)).
% 223.98/216.26 cnf('1.1.3.2',plain,[-(rdn_positive_less(rdnn(n4), rdnn(n5)))],extension(1)).
% 223.98/216.26 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([[_187194, _187285, _187464, _187102, _187375], [n2, n3, n5, n0, n5]]))).
% 223.98/216.26 cnf('1.1.4.1',plain,[-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))],extension(2)).
% 223.98/216.26 cnf('1.1.4.2',plain,[-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))],extension(4)).
% 223.98/216.26 cnf('1.1.5',plain,[-(rdn_translate(n3, rdn_pos(rdnn(n3))))],extension(7)).
% 223.98/216.26 %-----------------------------------------------------
% 223.98/216.27
% 223.98/216.27 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------