TSTP Solution File: NUM338+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM338+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 11:40:07 EDT 2022
% Result : Theorem 0.34s 1.41s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM338+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 16:42:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.42
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42 fof(diff_n5_n3_only_n2, conjecture, ! [_275722] : (difference(n5, n3, _275722) => _275722 = n2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', diff_n5_n3_only_n2)).
% 0.34/1.42 fof(rdn2, axiom, rdn_translate(n2, rdn_pos(rdnn(n2))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn2)).
% 0.34/1.42 fof(rdn3, axiom, rdn_translate(n3, rdn_pos(rdnn(n3))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn3)).
% 0.34/1.42 fof(rdn5, axiom, rdn_translate(n5, rdn_pos(rdnn(n5))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn5)).
% 0.34/1.42 fof(sum_entry_point_pos_pos, axiom, ! [_276371, _276374, _276377, _276380, _276383, _276386] : (rdn_translate(_276371, rdn_pos(_276380)) & rdn_translate(_276374, rdn_pos(_276383)) & rdn_add_with_carry(rdnn(n0), _276380, _276383, _276386) & rdn_translate(_276377, rdn_pos(_276386)) => sum(_276371, _276374, _276377)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 0.34/1.42 fof(unique_RHS, axiom, ! [_276709, _276712, _276715, _276718] : (sum(_276709, _276712, _276718) & sum(_276709, _276715, _276718) => _276712 = _276715), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', unique_RHS)).
% 0.34/1.42 fof(minus_entry_point, axiom, ! [_276916, _276919, _276922] : (sum(_276919, _276922, _276916) <=> difference(_276916, _276919, _276922)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', minus_entry_point)).
% 0.34/1.42 fof(add_digit_digit_digit, axiom, ! [_277087, _277090, _277093, _277096, _277099] : (rdn_digit_add(rdnn(_277090), rdnn(_277093), rdnn(_277099), rdnn(n0)) & rdn_digit_add(rdnn(_277099), rdnn(_277087), rdnn(_277096), rdnn(n0)) => rdn_add_with_carry(rdnn(_277087), rdnn(_277090), rdnn(_277093), rdnn(_277096))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 0.34/1.42 fof(rdn_digit_add_n3_n2_n5_n0, axiom, rdn_digit_add(rdnn(n3), rdnn(n2), rdnn(n5), rdnn(n0)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n3_n2_n5_n0)).
% 0.34/1.42 fof(rdn_digit_add_n5_n0_n5_n0, axiom, rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n5_n0_n5_n0)).
% 0.34/1.42
% 0.34/1.42 cnf(1, plain, [-(difference(n5, n3, 1 ^ []))], clausify(diff_n5_n3_only_n2)).
% 0.34/1.42 cnf(2, plain, [1 ^ [] = n2], clausify(diff_n5_n3_only_n2)).
% 0.34/1.42 cnf(3, plain, [-(_96599 = _96599)], theory(equality)).
% 0.34/1.42 cnf(4, plain, [-(sum(_104749, _104916, _105079)), sum(_104664, _104833, _104998), _104664 = _104749, _104833 = _104916, _104998 = _105079], theory(equality)).
% 0.34/1.42 cnf(5, plain, [-(rdn_translate(n2, rdn_pos(rdnn(n2))))], clausify(rdn2)).
% 0.34/1.42 cnf(6, plain, [-(rdn_translate(n3, rdn_pos(rdnn(n3))))], clausify(rdn3)).
% 0.34/1.42 cnf(7, plain, [-(rdn_translate(n5, rdn_pos(rdnn(n5))))], clausify(rdn5)).
% 0.34/1.42 cnf(8, plain, [-(sum(_178394, _178486, _178577)), rdn_translate(_178394, rdn_pos(_178667)), rdn_translate(_178486, rdn_pos(_178756)), rdn_add_with_carry(rdnn(n0), _178667, _178756, _178844), rdn_translate(_178577, rdn_pos(_178844))], clausify(sum_entry_point_pos_pos)).
% 0.34/1.42 cnf(9, plain, [-(_186151 = _186213), sum(_186088, _186151, _186274), sum(_186088, _186213, _186274)], clausify(unique_RHS)).
% 0.34/1.42 cnf(10, plain, [-(sum(_186775, _186826, _186723)), difference(_186723, _186775, _186826)], clausify(minus_entry_point)).
% 0.34/1.42 cnf(11, plain, [-(rdn_add_with_carry(rdnn(_187184), rdnn(_187276), rdnn(_187367), rdnn(_187457))), rdn_digit_add(rdnn(_187276), rdnn(_187367), rdnn(_187546), rdnn(n0)), rdn_digit_add(rdnn(_187546), rdnn(_187184), rdnn(_187457), rdnn(n0))], clausify(add_digit_digit_digit)).
% 0.34/1.42 cnf(12, plain, [-(rdn_digit_add(rdnn(n3), rdnn(n2), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n3_n2_n5_n0)).
% 0.34/1.42 cnf(13, plain, [-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n5_n0_n5_n0)).
% 0.34/1.42
% 0.34/1.42 cnf('1',plain,[1 ^ [] = n2],start(2)).
% 0.34/1.42 cnf('1.1',plain,[-(1 ^ [] = n2), sum(n3, 1 ^ [], n5), sum(n3, n2, n5)],extension(9,bind([[_186151, _186088, _186213, _186274], [1 ^ [], n3, n2, n5]]))).
% 0.34/1.42 cnf('1.1.1',plain,[-(sum(n3, 1 ^ [], n5)), sum(n3, 1 ^ [], n5), n3 = n3, 1 ^ [] = 1 ^ [], n5 = n5],extension(4,bind([[_104664, _104749, _104833, _104916, _104998, _105079], [n3, n3, 1 ^ [], 1 ^ [], n5, n5]]))).
% 0.34/1.42 cnf('1.1.1.1',plain,[-(sum(n3, 1 ^ [], n5)), difference(n5, n3, 1 ^ [])],extension(10,bind([[_186723, _186775, _186826], [n5, n3, 1 ^ []]]))).
% 0.34/1.42 cnf('1.1.1.1.1',plain,[-(difference(n5, n3, 1 ^ []))],extension(1)).
% 0.34/1.42 cnf('1.1.1.2',plain,[-(n3 = n3)],extension(3,bind([[_96599], [n3]]))).
% 0.34/1.42 cnf('1.1.1.3',plain,[-(1 ^ [] = 1 ^ [])],extension(3,bind([[_96599], [1 ^ []]]))).
% 0.34/1.42 cnf('1.1.1.4',plain,[-(n5 = n5)],extension(3,bind([[_96599], [n5]]))).
% 0.34/1.42 cnf('1.1.2',plain,[-(sum(n3, n2, n5)), rdn_translate(n3, rdn_pos(rdnn(n3))), rdn_translate(n2, rdn_pos(rdnn(n2))), rdn_add_with_carry(rdnn(n0), rdnn(n3), rdnn(n2), rdnn(n5)), rdn_translate(n5, rdn_pos(rdnn(n5)))],extension(8,bind([[_178394, _178486, _178667, _178756, _178577, _178844], [n3, n2, rdnn(n3), rdnn(n2), n5, rdnn(n5)]]))).
% 0.34/1.42 cnf('1.1.2.1',plain,[-(rdn_translate(n3, rdn_pos(rdnn(n3))))],extension(6)).
% 0.34/1.42 cnf('1.1.2.2',plain,[-(rdn_translate(n2, rdn_pos(rdnn(n2))))],extension(5)).
% 0.34/1.42 cnf('1.1.2.3',plain,[-(rdn_add_with_carry(rdnn(n0), rdnn(n3), rdnn(n2), rdnn(n5))), rdn_digit_add(rdnn(n3), rdnn(n2), rdnn(n5), rdnn(n0)), rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0))],extension(11,bind([[_187276, _187367, _187546, _187184, _187457], [n3, n2, n5, n0, n5]]))).
% 0.34/1.42 cnf('1.1.2.3.1',plain,[-(rdn_digit_add(rdnn(n3), rdnn(n2), rdnn(n5), rdnn(n0)))],extension(12)).
% 0.34/1.42 cnf('1.1.2.3.2',plain,[-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))],extension(13)).
% 0.34/1.42 cnf('1.1.2.4',plain,[-(rdn_translate(n5, rdn_pos(rdnn(n5))))],extension(7)).
% 0.34/1.42 %-----------------------------------------------------
% 0.43/1.42
% 0.43/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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