TSTP Solution File: NUM311+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM311+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 11:39:58 EDT 2022
% Result : Theorem 0.37s 1.41s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM311+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 07:43:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.37/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/1.42
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.42 fof(sum_n2_n3_only_n5, conjecture, ! [_273812] : (sum(n2, n3, _273812) => _273812 = n5), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sum_n2_n3_only_n5)).
% 0.37/1.42 fof(rdn2, axiom, rdn_translate(n2, rdn_pos(rdnn(n2))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn2)).
% 0.37/1.42 fof(rdn3, axiom, rdn_translate(n3, rdn_pos(rdnn(n3))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn3)).
% 0.37/1.42 fof(rdn5, axiom, rdn_translate(n5, rdn_pos(rdnn(n5))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn5)).
% 0.37/1.42 fof(sum_entry_point_pos_pos, axiom, ! [_274439, _274442, _274445, _274448, _274451, _274454] : (rdn_translate(_274439, rdn_pos(_274448)) & rdn_translate(_274442, rdn_pos(_274451)) & rdn_add_with_carry(rdnn(n0), _274448, _274451, _274454) & rdn_translate(_274445, rdn_pos(_274454)) => sum(_274439, _274442, _274445)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 0.37/1.42 fof(unique_sum, axiom, ! [_274775, _274778, _274781, _274784] : (sum(_274775, _274778, _274781) & sum(_274775, _274778, _274784) => _274781 = _274784), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', unique_sum)).
% 0.37/1.42 fof(add_digit_digit_digit, axiom, ! [_274985, _274988, _274991, _274994, _274997] : (rdn_digit_add(rdnn(_274988), rdnn(_274991), rdnn(_274997), rdnn(n0)) & rdn_digit_add(rdnn(_274997), rdnn(_274985), rdnn(_274994), rdnn(n0)) => rdn_add_with_carry(rdnn(_274985), rdnn(_274988), rdnn(_274991), rdnn(_274994))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 0.37/1.42 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)).
% 0.37/1.42 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)).
% 0.37/1.42
% 0.37/1.42 cnf(1, plain, [-(sum(n2, n3, 1 ^ []))], clausify(sum_n2_n3_only_n5)).
% 0.37/1.42 cnf(2, plain, [1 ^ [] = n5], clausify(sum_n2_n3_only_n5)).
% 0.37/1.42 cnf(3, plain, [-(rdn_translate(n2, rdn_pos(rdnn(n2))))], clausify(rdn2)).
% 0.37/1.42 cnf(4, plain, [-(rdn_translate(n3, rdn_pos(rdnn(n3))))], clausify(rdn3)).
% 0.37/1.42 cnf(5, plain, [-(rdn_translate(n5, rdn_pos(rdnn(n5))))], clausify(rdn5)).
% 0.37/1.42 cnf(6, plain, [-(sum(_178399, _178491, _178582)), rdn_translate(_178399, rdn_pos(_178672)), rdn_translate(_178491, rdn_pos(_178761)), rdn_add_with_carry(rdnn(n0), _178672, _178761, _178849), rdn_translate(_178582, rdn_pos(_178849))], clausify(sum_entry_point_pos_pos)).
% 0.37/1.42 cnf(7, plain, [-(_184948 = _185009), sum(_184823, _184886, _184948), sum(_184823, _184886, _185009)], clausify(unique_sum)).
% 0.37/1.42 cnf(8, plain, [-(rdn_add_with_carry(rdnn(_187189), rdnn(_187281), rdnn(_187372), rdnn(_187462))), rdn_digit_add(rdnn(_187281), rdnn(_187372), rdnn(_187551), rdnn(n0)), rdn_digit_add(rdnn(_187551), rdnn(_187189), rdnn(_187462), rdnn(n0))], clausify(add_digit_digit_digit)).
% 0.37/1.42 cnf(9, plain, [-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n2_n3_n5_n0)).
% 0.37/1.42 cnf(10, plain, [-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n5_n0_n5_n0)).
% 0.37/1.42
% 0.37/1.42 cnf('1',plain,[1 ^ [] = n5],start(2)).
% 0.37/1.42 cnf('1.1',plain,[-(1 ^ [] = n5), sum(n2, n3, 1 ^ []), sum(n2, n3, n5)],extension(7,bind([[_184948, _184823, _184886, _185009], [1 ^ [], n2, n3, n5]]))).
% 0.37/1.42 cnf('1.1.1',plain,[-(sum(n2, n3, 1 ^ []))],extension(1)).
% 0.37/1.42 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(6,bind([[_178399, _178491, _178672, _178761, _178582, _178849], [n2, n3, rdnn(n2), rdnn(n3), n5, rdnn(n5)]]))).
% 0.37/1.42 cnf('1.1.2.1',plain,[-(rdn_translate(n2, rdn_pos(rdnn(n2))))],extension(3)).
% 0.37/1.42 cnf('1.1.2.2',plain,[-(rdn_translate(n3, rdn_pos(rdnn(n3))))],extension(4)).
% 0.37/1.42 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(8,bind([[_187281, _187372, _187551, _187189, _187462], [n2, n3, n5, n0, n5]]))).
% 0.37/1.42 cnf('1.1.2.3.1',plain,[-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))],extension(9)).
% 0.37/1.42 cnf('1.1.2.3.2',plain,[-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))],extension(10)).
% 0.37/1.42 cnf('1.1.2.4',plain,[-(rdn_translate(n5, rdn_pos(rdnn(n5))))],extension(5)).
% 0.37/1.42 %-----------------------------------------------------
% 0.37/1.43
% 0.37/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------