TSTP Solution File: NUM307+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM307+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 11:39:57 EDT 2022
% Result : Theorem 0.37s 1.42s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM307+1 : TPTP v8.1.0. Released v3.1.0.
% 0.14/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jul 6 04:37:38 EDT 2022
% 0.21/0.35 % CPUTime :
% 0.37/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.44
% 0.37/1.44 %-----------------------------------------------------
% 0.37/1.44 fof(summ_n23_n34_something, conjecture, ? [_276719] : sum(n23, n34, _276719), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', summ_n23_n34_something)).
% 0.37/1.44 fof(rdn23, axiom, rdn_translate(n23, rdn_pos(rdn(rdnn(n3), rdnn(n2)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn23)).
% 0.37/1.44 fof(rdn34, axiom, rdn_translate(n34, rdn_pos(rdn(rdnn(n4), rdnn(n3)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn34)).
% 0.37/1.44 fof(rdn57, axiom, rdn_translate(n57, rdn_pos(rdn(rdnn(n7), rdnn(n5)))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn57)).
% 0.37/1.44 fof(rdn_digit2, axiom, rdn_non_zero_digit(rdnn(n2)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_digit2)).
% 0.37/1.44 fof(rdn_digit3, axiom, rdn_non_zero_digit(rdnn(n3)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_digit3)).
% 0.37/1.44 fof(rdn_digit5, axiom, rdn_non_zero_digit(rdnn(n5)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_digit5)).
% 0.37/1.44 fof(rdn_non_zero_by_digit, axiom, ! [_277482] : (rdn_non_zero_digit(rdnn(_277482)) => rdn_non_zero(rdnn(_277482))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+1.ax', rdn_non_zero_by_digit)).
% 0.37/1.44 fof(sum_entry_point_pos_pos, axiom, ! [_277632, _277635, _277638, _277641, _277644, _277647] : (rdn_translate(_277632, rdn_pos(_277641)) & rdn_translate(_277635, rdn_pos(_277644)) & rdn_add_with_carry(rdnn(n0), _277641, _277644, _277647) & rdn_translate(_277638, rdn_pos(_277647)) => sum(_277632, _277635, _277638)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 0.37/1.44 fof(add_digit_digit_digit, axiom, ! [_277973, _277976, _277979, _277982, _277985] : (rdn_digit_add(rdnn(_277976), rdnn(_277979), rdnn(_277985), rdnn(n0)) & rdn_digit_add(rdnn(_277985), rdnn(_277973), rdnn(_277982), rdnn(n0)) => rdn_add_with_carry(rdnn(_277973), rdnn(_277976), rdnn(_277979), rdnn(_277982))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 0.37/1.44 fof(rdn_digit_add_n0_n0_n0_n0, axiom, rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n0_n0_n0_n0)).
% 0.37/1.44 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)).
% 0.37/1.44 fof(rdn_digit_add_n3_n4_n7_n0, axiom, rdn_digit_add(rdnn(n3), rdnn(n4), rdnn(n7), rdnn(n0)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n3_n4_n7_n0)).
% 0.37/1.44 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)).
% 0.37/1.44 fof(rdn_digit_add_n7_n0_n7_n0, axiom, rdn_digit_add(rdnn(n7), rdnn(n0), rdnn(n7), rdnn(n0)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n7_n0_n7_n0)).
% 0.37/1.44 fof(add_rdn_rdn_rdn, axiom, ! [_278788, _278791, _278794, _278797, _278800, _278803, _278806, _278809, _278812, _278815, _278818] : (rdn_digit_add(rdnn(_278791), rdnn(_278797), rdnn(_278809), rdnn(_278812)) & rdn_digit_add(rdnn(_278809), rdnn(_278788), rdnn(_278803), rdnn(_278815)) & rdn_digit_add(rdnn(_278812), rdnn(_278815), rdnn(_278818), rdnn(n0)) & rdn_add_with_carry(rdnn(_278818), _278794, _278800, _278806) & rdn_non_zero(_278794) & rdn_non_zero(_278800) & rdn_non_zero(_278806) => rdn_add_with_carry(rdnn(_278788), rdn(rdnn(_278791), _278794), rdn(rdnn(_278797), _278800), rdn(rdnn(_278803), _278806))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', add_rdn_rdn_rdn)).
% 0.37/1.44
% 0.37/1.44 cnf(1, plain, [sum(n23, n34, _227140)], clausify(summ_n23_n34_something)).
% 0.37/1.44 cnf(2, plain, [-(rdn_translate(n23, rdn_pos(rdn(rdnn(n3), rdnn(n2)))))], clausify(rdn23)).
% 0.37/1.44 cnf(3, plain, [-(rdn_translate(n34, rdn_pos(rdn(rdnn(n4), rdnn(n3)))))], clausify(rdn34)).
% 0.37/1.44 cnf(4, plain, [-(rdn_translate(n57, rdn_pos(rdn(rdnn(n7), rdnn(n5)))))], clausify(rdn57)).
% 0.37/1.44 cnf(5, plain, [-(rdn_non_zero_digit(rdnn(n2)))], clausify(rdn_digit2)).
% 0.37/1.44 cnf(6, plain, [-(rdn_non_zero_digit(rdnn(n3)))], clausify(rdn_digit3)).
% 0.37/1.44 cnf(7, plain, [-(rdn_non_zero_digit(rdnn(n5)))], clausify(rdn_digit5)).
% 0.37/1.44 cnf(8, plain, [rdn_non_zero_digit(rdnn(_174045)), -(rdn_non_zero(rdnn(_174045)))], clausify(rdn_non_zero_by_digit)).
% 0.37/1.44 cnf(9, plain, [-(sum(_178366, _178458, _178549)), rdn_translate(_178366, rdn_pos(_178639)), rdn_translate(_178458, rdn_pos(_178728)), rdn_add_with_carry(rdnn(n0), _178639, _178728, _178816), rdn_translate(_178549, rdn_pos(_178816))], clausify(sum_entry_point_pos_pos)).
% 0.37/1.44 cnf(10, plain, [-(rdn_add_with_carry(rdnn(_187156), rdnn(_187248), rdnn(_187339), rdnn(_187429))), rdn_digit_add(rdnn(_187248), rdnn(_187339), rdnn(_187518), rdnn(n0)), rdn_digit_add(rdnn(_187518), rdnn(_187156), rdnn(_187429), rdnn(n0))], clausify(add_digit_digit_digit)).
% 0.37/1.44 cnf(11, plain, [-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))], clausify(rdn_digit_add_n0_n0_n0_n0)).
% 0.37/1.44 cnf(12, plain, [-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n2_n3_n5_n0)).
% 0.37/1.44 cnf(13, plain, [-(rdn_digit_add(rdnn(n3), rdnn(n4), rdnn(n7), rdnn(n0)))], clausify(rdn_digit_add_n3_n4_n7_n0)).
% 0.37/1.44 cnf(14, plain, [-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n5_n0_n5_n0)).
% 0.37/1.44 cnf(15, plain, [-(rdn_digit_add(rdnn(n7), rdnn(n0), rdnn(n7), rdnn(n0)))], clausify(rdn_digit_add_n7_n0_n7_n0)).
% 0.37/1.44 cnf(16, plain, [-(rdn_add_with_carry(rdnn(_193145), rdn(rdnn(_193319), _193492), rdn(rdnn(_193664), _193835), rdn(rdnn(_194005), _194174))), rdn_digit_add(rdnn(_193319), rdnn(_193664), rdnn(_194342), rdnn(_194509)), rdn_digit_add(rdnn(_194342), rdnn(_193145), rdnn(_194005), rdnn(_194675)), rdn_digit_add(rdnn(_194509), rdnn(_194675), rdnn(_194840), rdnn(n0)), rdn_add_with_carry(rdnn(_194840), _193492, _193835, _194174), rdn_non_zero(_193492), rdn_non_zero(_193835), rdn_non_zero(_194174)], clausify(add_rdn_rdn_rdn)).
% 0.37/1.44
% 0.37/1.44 cnf('1',plain,[sum(n23, n34, n57)],start(1,bind([[_227140], [n57]]))).
% 0.37/1.44 cnf('1.1',plain,[-(sum(n23, n34, n57)), rdn_translate(n23, rdn_pos(rdn(rdnn(n3), rdnn(n2)))), rdn_translate(n34, rdn_pos(rdn(rdnn(n4), rdnn(n3)))), rdn_add_with_carry(rdnn(n0), rdn(rdnn(n3), rdnn(n2)), rdn(rdnn(n4), rdnn(n3)), rdn(rdnn(n7), rdnn(n5))), rdn_translate(n57, rdn_pos(rdn(rdnn(n7), rdnn(n5))))],extension(9,bind([[_178366, _178458, _178639, _178728, _178549, _178816], [n23, n34, rdn(rdnn(n3), rdnn(n2)), rdn(rdnn(n4), rdnn(n3)), n57, rdn(rdnn(n7), rdnn(n5))]]))).
% 0.37/1.44 cnf('1.1.1',plain,[-(rdn_translate(n23, rdn_pos(rdn(rdnn(n3), rdnn(n2)))))],extension(2)).
% 0.37/1.44 cnf('1.1.2',plain,[-(rdn_translate(n34, rdn_pos(rdn(rdnn(n4), rdnn(n3)))))],extension(3)).
% 0.37/1.44 cnf('1.1.3',plain,[-(rdn_add_with_carry(rdnn(n0), rdn(rdnn(n3), rdnn(n2)), rdn(rdnn(n4), rdnn(n3)), rdn(rdnn(n7), rdnn(n5)))), rdn_digit_add(rdnn(n3), rdnn(n4), rdnn(n7), rdnn(n0)), rdn_digit_add(rdnn(n7), rdnn(n0), rdnn(n7), rdnn(n0)), rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)), rdn_add_with_carry(rdnn(n0), rdnn(n2), rdnn(n3), rdnn(n5)), rdn_non_zero(rdnn(n2)), rdn_non_zero(rdnn(n3)), rdn_non_zero(rdnn(n5))],extension(16,bind([[_193319, _193664, _194342, _193145, _194005, _194509, _194675, _194840, _193492, _193835, _194174], [n3, n4, n7, n0, n7, n0, n0, n0, rdnn(n2), rdnn(n3), rdnn(n5)]]))).
% 0.37/1.44 cnf('1.1.3.1',plain,[-(rdn_digit_add(rdnn(n3), rdnn(n4), rdnn(n7), rdnn(n0)))],extension(13)).
% 0.37/1.44 cnf('1.1.3.2',plain,[-(rdn_digit_add(rdnn(n7), rdnn(n0), rdnn(n7), rdnn(n0)))],extension(15)).
% 0.37/1.44 cnf('1.1.3.3',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))],extension(11)).
% 0.37/1.44 cnf('1.1.3.4',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(10,bind([[_187248, _187339, _187518, _187156, _187429], [n2, n3, n5, n0, n5]]))).
% 0.37/1.44 cnf('1.1.3.4.1',plain,[-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))],extension(12)).
% 0.37/1.44 cnf('1.1.3.4.2',plain,[-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))],extension(14)).
% 0.37/1.44 cnf('1.1.3.5',plain,[-(rdn_non_zero(rdnn(n2))), rdn_non_zero_digit(rdnn(n2))],extension(8,bind([[_174045], [n2]]))).
% 0.37/1.44 cnf('1.1.3.5.1',plain,[-(rdn_non_zero_digit(rdnn(n2)))],extension(5)).
% 0.37/1.44 cnf('1.1.3.6',plain,[-(rdn_non_zero(rdnn(n3))), rdn_non_zero_digit(rdnn(n3))],extension(8,bind([[_174045], [n3]]))).
% 0.37/1.44 cnf('1.1.3.6.1',plain,[-(rdn_non_zero_digit(rdnn(n3)))],extension(6)).
% 0.37/1.44 cnf('1.1.3.7',plain,[-(rdn_non_zero(rdnn(n5))), rdn_non_zero_digit(rdnn(n5))],extension(8,bind([[_174045], [n5]]))).
% 0.37/1.44 cnf('1.1.3.7.1',plain,[-(rdn_non_zero_digit(rdnn(n5)))],extension(7)).
% 0.37/1.44 cnf('1.1.4',plain,[-(rdn_translate(n57, rdn_pos(rdn(rdnn(n7), rdnn(n5)))))],extension(4)).
% 0.37/1.44 %-----------------------------------------------------
% 0.37/1.44
% 0.37/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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