TSTP Solution File: NUM313+1 by leanCoP---2.2
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%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM313+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n008.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 11:39:59 EDT 2022
% Result : Theorem 0.36s 1.39s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM313+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n008.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 19:45:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.36/1.39 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.41
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41 fof(sumn2_only_n3_n5, conjecture, ! [_273852] : (sum(n2, _273852, n5) => _273852 = n3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sumn2_only_n3_n5)).
% 0.36/1.41 fof(rdn2, axiom, rdn_translate(n2, rdn_pos(rdnn(n2))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn2)).
% 0.36/1.41 fof(rdn3, axiom, rdn_translate(n3, rdn_pos(rdnn(n3))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn3)).
% 0.36/1.41 fof(rdn5, axiom, rdn_translate(n5, rdn_pos(rdnn(n5))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn5)).
% 0.36/1.41 fof(sum_entry_point_pos_pos, axiom, ! [_274479, _274482, _274485, _274488, _274491, _274494] : (rdn_translate(_274479, rdn_pos(_274488)) & rdn_translate(_274482, rdn_pos(_274491)) & rdn_add_with_carry(rdnn(n0), _274488, _274491, _274494) & rdn_translate(_274485, rdn_pos(_274494)) => sum(_274479, _274482, _274485)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 0.36/1.41 fof(unique_RHS, axiom, ! [_274817, _274820, _274823, _274826] : (sum(_274817, _274820, _274826) & sum(_274817, _274823, _274826) => _274820 = _274823), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', unique_RHS)).
% 0.36/1.41 fof(add_digit_digit_digit, axiom, ! [_275025, _275028, _275031, _275034, _275037] : (rdn_digit_add(rdnn(_275028), rdnn(_275031), rdnn(_275037), rdnn(n0)) & rdn_digit_add(rdnn(_275037), rdnn(_275025), rdnn(_275034), rdnn(n0)) => rdn_add_with_carry(rdnn(_275025), rdnn(_275028), rdnn(_275031), rdnn(_275034))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 0.36/1.41 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)).
% 0.36/1.41 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)).
% 0.36/1.41
% 0.36/1.41 cnf(1, plain, [-(sum(n2, 1 ^ [], n5))], clausify(sumn2_only_n3_n5)).
% 0.36/1.41 cnf(2, plain, [1 ^ [] = n3], clausify(sumn2_only_n3_n5)).
% 0.36/1.41 cnf(3, plain, [-(rdn_translate(n2, rdn_pos(rdnn(n2))))], clausify(rdn2)).
% 0.36/1.41 cnf(4, plain, [-(rdn_translate(n3, rdn_pos(rdnn(n3))))], clausify(rdn3)).
% 0.36/1.41 cnf(5, plain, [-(rdn_translate(n5, rdn_pos(rdnn(n5))))], clausify(rdn5)).
% 0.36/1.41 cnf(6, plain, [-(sum(_178439, _178531, _178622)), rdn_translate(_178439, rdn_pos(_178712)), rdn_translate(_178531, rdn_pos(_178801)), rdn_add_with_carry(rdnn(n0), _178712, _178801, _178889), rdn_translate(_178622, rdn_pos(_178889))], clausify(sum_entry_point_pos_pos)).
% 0.36/1.41 cnf(7, plain, [-(_186196 = _186258), sum(_186133, _186196, _186319), sum(_186133, _186258, _186319)], clausify(unique_RHS)).
% 0.36/1.41 cnf(8, plain, [-(rdn_add_with_carry(rdnn(_187229), rdnn(_187321), rdnn(_187412), rdnn(_187502))), rdn_digit_add(rdnn(_187321), rdnn(_187412), rdnn(_187591), rdnn(n0)), rdn_digit_add(rdnn(_187591), rdnn(_187229), rdnn(_187502), rdnn(n0))], clausify(add_digit_digit_digit)).
% 0.36/1.41 cnf(9, plain, [-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n2_n3_n5_n0)).
% 0.36/1.41 cnf(10, plain, [-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n5_n0_n5_n0)).
% 0.36/1.41
% 0.36/1.41 cnf('1',plain,[1 ^ [] = n3],start(2)).
% 0.36/1.41 cnf('1.1',plain,[-(1 ^ [] = n3), sum(n2, 1 ^ [], n5), sum(n2, n3, n5)],extension(7,bind([[_186196, _186133, _186258, _186319], [1 ^ [], n2, n3, n5]]))).
% 0.36/1.41 cnf('1.1.1',plain,[-(sum(n2, 1 ^ [], n5))],extension(1)).
% 0.36/1.41 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([[_178439, _178531, _178712, _178801, _178622, _178889], [n2, n3, rdnn(n2), rdnn(n3), n5, rdnn(n5)]]))).
% 0.36/1.41 cnf('1.1.2.1',plain,[-(rdn_translate(n2, rdn_pos(rdnn(n2))))],extension(3)).
% 0.36/1.41 cnf('1.1.2.2',plain,[-(rdn_translate(n3, rdn_pos(rdnn(n3))))],extension(4)).
% 0.36/1.41 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([[_187321, _187412, _187591, _187229, _187502], [n2, n3, n5, n0, n5]]))).
% 0.36/1.41 cnf('1.1.2.3.1',plain,[-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))],extension(9)).
% 0.36/1.41 cnf('1.1.2.3.2',plain,[-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))],extension(10)).
% 0.36/1.41 cnf('1.1.2.4',plain,[-(rdn_translate(n5, rdn_pos(rdnn(n5))))],extension(5)).
% 0.36/1.41 %-----------------------------------------------------
% 0.36/1.41
% 0.36/1.41 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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