TSTP Solution File: NUM330+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : NUM330+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 11:40:05 EDT 2022
% Result : Theorem 18.85s 19.05s
% Output : Proof 18.85s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM330+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n021.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 : Thu Jul 7 18:48:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 18.85/19.05 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.85/19.06 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.85/19.06
% 18.85/19.06 %-----------------------------------------------------
% 18.85/19.06 fof(sum_n4_n4_n8, conjecture, ? [_274037, _274040] : (sum(_274037, _274040, n8) & _274037 = n4 & _274040 = n4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', sum_n4_n4_n8)).
% 18.85/19.06 fof(rdn4, axiom, rdn_translate(n4, rdn_pos(rdnn(n4))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn4)).
% 18.85/19.06 fof(rdn8, axiom, rdn_translate(n8, rdn_pos(rdnn(n8))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn8)).
% 18.85/19.06 fof(sum_entry_point_pos_pos, axiom, ! [_274642, _274645, _274648, _274651, _274654, _274657] : (rdn_translate(_274642, rdn_pos(_274651)) & rdn_translate(_274645, rdn_pos(_274654)) & rdn_add_with_carry(rdnn(n0), _274651, _274654, _274657) & rdn_translate(_274648, rdn_pos(_274657)) => sum(_274642, _274645, _274648)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 18.85/19.06 fof(add_digit_digit_digit, axiom, ! [_274983, _274986, _274989, _274992, _274995] : (rdn_digit_add(rdnn(_274986), rdnn(_274989), rdnn(_274995), rdnn(n0)) & rdn_digit_add(rdnn(_274995), rdnn(_274983), rdnn(_274992), rdnn(n0)) => rdn_add_with_carry(rdnn(_274983), rdnn(_274986), rdnn(_274989), rdnn(_274992))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 18.85/19.06 fof(rdn_digit_add_n4_n4_n8_n0, axiom, rdn_digit_add(rdnn(n4), rdnn(n4), rdnn(n8), rdnn(n0)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n4_n4_n8_n0)).
% 18.85/19.06 fof(rdn_digit_add_n8_n0_n8_n0, axiom, rdn_digit_add(rdnn(n8), rdnn(n0), rdnn(n8), rdnn(n0)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n8_n0_n8_n0)).
% 18.85/19.06
% 18.85/19.06 cnf(1, plain, [sum(_227316, _227369, n8), _227316 = n4, _227369 = n4], clausify(sum_n4_n4_n8)).
% 18.85/19.06 cnf(2, plain, [-(_96747 = _96747)], theory(equality)).
% 18.85/19.06 cnf(3, plain, [-(rdn_translate(n4, rdn_pos(rdnn(n4))))], clausify(rdn4)).
% 18.85/19.06 cnf(4, plain, [-(rdn_translate(n8, rdn_pos(rdnn(n8))))], clausify(rdn8)).
% 18.85/19.06 cnf(5, plain, [-(sum(_178542, _178634, _178725)), rdn_translate(_178542, rdn_pos(_178815)), rdn_translate(_178634, rdn_pos(_178904)), rdn_add_with_carry(rdnn(n0), _178815, _178904, _178992), rdn_translate(_178725, rdn_pos(_178992))], clausify(sum_entry_point_pos_pos)).
% 18.85/19.06 cnf(6, plain, [-(rdn_add_with_carry(rdnn(_187332), rdnn(_187424), rdnn(_187515), rdnn(_187605))), rdn_digit_add(rdnn(_187424), rdnn(_187515), rdnn(_187694), rdnn(n0)), rdn_digit_add(rdnn(_187694), rdnn(_187332), rdnn(_187605), rdnn(n0))], clausify(add_digit_digit_digit)).
% 18.85/19.06 cnf(7, plain, [-(rdn_digit_add(rdnn(n4), rdnn(n4), rdnn(n8), rdnn(n0)))], clausify(rdn_digit_add_n4_n4_n8_n0)).
% 18.85/19.06 cnf(8, plain, [-(rdn_digit_add(rdnn(n8), rdnn(n0), rdnn(n8), rdnn(n0)))], clausify(rdn_digit_add_n8_n0_n8_n0)).
% 18.85/19.06
% 18.85/19.06 cnf('1',plain,[sum(n4, n4, n8), n4 = n4, n4 = n4],start(1,bind([[_227316, _227369], [n4, n4]]))).
% 18.85/19.06 cnf('1.1',plain,[-(sum(n4, n4, n8)), rdn_translate(n4, rdn_pos(rdnn(n4))), rdn_translate(n4, rdn_pos(rdnn(n4))), rdn_add_with_carry(rdnn(n0), rdnn(n4), rdnn(n4), rdnn(n8)), rdn_translate(n8, rdn_pos(rdnn(n8)))],extension(5,bind([[_178542, _178634, _178815, _178904, _178725, _178992], [n4, n4, rdnn(n4), rdnn(n4), n8, rdnn(n8)]]))).
% 18.85/19.06 cnf('1.1.1',plain,[-(rdn_translate(n4, rdn_pos(rdnn(n4))))],extension(3)).
% 18.85/19.06 cnf('1.1.2',plain,[-(rdn_translate(n4, rdn_pos(rdnn(n4))))],extension(3)).
% 18.85/19.06 cnf('1.1.3',plain,[-(rdn_add_with_carry(rdnn(n0), rdnn(n4), rdnn(n4), rdnn(n8))), rdn_digit_add(rdnn(n4), rdnn(n4), rdnn(n8), rdnn(n0)), rdn_digit_add(rdnn(n8), rdnn(n0), rdnn(n8), rdnn(n0))],extension(6,bind([[_187424, _187515, _187694, _187332, _187605], [n4, n4, n8, n0, n8]]))).
% 18.85/19.06 cnf('1.1.3.1',plain,[-(rdn_digit_add(rdnn(n4), rdnn(n4), rdnn(n8), rdnn(n0)))],extension(7)).
% 18.85/19.06 cnf('1.1.3.2',plain,[-(rdn_digit_add(rdnn(n8), rdnn(n0), rdnn(n8), rdnn(n0)))],extension(8)).
% 18.85/19.06 cnf('1.1.4',plain,[-(rdn_translate(n8, rdn_pos(rdnn(n8))))],extension(4)).
% 18.85/19.06 cnf('1.2',plain,[-(n4 = n4)],extension(2,bind([[_96747], [n4]]))).
% 18.85/19.06 cnf('1.3',plain,[-(n4 = n4)],extension(2,bind([[_96747], [n4]]))).
% 18.85/19.06 %-----------------------------------------------------
% 18.85/19.07
% 18.85/19.07 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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