TSTP Solution File: NUM314+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM314+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 0.47s 1.40s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM314+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n017.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 21:08:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/1.41
% 0.47/1.41 %-----------------------------------------------------
% 0.47/1.41 fof(show_upper_boundary, conjecture, ? [_282081] : sum(n126, n1, _282081), file('/export/starexec/sandbox/benchmark/theBenchmark.p', show_upper_boundary)).
% 0.47/1.41 fof(rdn1, axiom, rdn_translate(n1, rdn_pos(rdnn(n1))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn1)).
% 0.47/1.41 fof(rdn126, axiom, rdn_translate(n126, rdn_pos(rdn(rdnn(n6), rdn(rdnn(n2), rdnn(n1))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn126)).
% 0.47/1.41 fof(rdn127, axiom, rdn_translate(n127, rdn_pos(rdn(rdnn(n7), rdn(rdnn(n2), rdnn(n1))))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn127)).
% 0.47/1.41 fof(rdn_digit1, axiom, rdn_non_zero_digit(rdnn(n1)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_digit1)).
% 0.47/1.41 fof(rdn_non_zero_by_digit, axiom, ! [_282777] : (rdn_non_zero_digit(rdnn(_282777)) => rdn_non_zero(rdnn(_282777))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_non_zero_by_digit)).
% 0.47/1.41 fof(rdn_non_zero_by_structure, axiom, ! [_282916, _282919] : (rdn_non_zero(_282919) => rdn_non_zero(rdn(rdnn(_282916), _282919))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_non_zero_by_structure)).
% 0.47/1.41 fof(sum_entry_point_pos_pos, axiom, ! [_283083, _283086, _283089, _283092, _283095, _283098] : (rdn_translate(_283083, rdn_pos(_283092)) & rdn_translate(_283086, rdn_pos(_283095)) & rdn_add_with_carry(rdnn(n0), _283092, _283095, _283098) & rdn_translate(_283089, rdn_pos(_283098)) => sum(_283083, _283086, _283089)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 0.47/1.41 fof(add_digit_digit_digit, axiom, ! [_283424, _283427, _283430, _283433, _283436] : (rdn_digit_add(rdnn(_283427), rdnn(_283430), rdnn(_283436), rdnn(n0)) & rdn_digit_add(rdnn(_283436), rdnn(_283424), rdnn(_283433), rdnn(n0)) => rdn_add_with_carry(rdnn(_283424), rdnn(_283427), rdnn(_283430), rdnn(_283433))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 0.47/1.41 fof(add_digit_rdn_rdn, axiom, ! [_283782, _283785, _283788, _283791, _283794, _283797, _283800, _283803, _283806, _283809] : (rdn_digit_add(rdnn(_283785), rdnn(_283788), rdnn(_283800), rdnn(_283803)) & rdn_digit_add(rdnn(_283800), rdnn(_283782), rdnn(_283794), rdnn(_283806)) & rdn_digit_add(rdnn(_283803), rdnn(_283806), rdnn(_283809), rdnn(n0)) & rdn_add_with_carry(rdnn(_283809), rdnn(n0), _283791, _283797) & rdn_non_zero(_283791) & rdn_non_zero(_283797) => rdn_add_with_carry(rdnn(_283782), rdnn(_283785), rdn(rdnn(_283788), _283791), rdn(rdnn(_283794), _283797))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_digit_rdn_rdn)).
% 0.47/1.41 fof(rdn_digit_add_n0_n0_n0_n0, axiom, rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n0_n0_n0_n0)).
% 0.47/1.41 fof(rdn_digit_add_n0_n1_n1_n0, axiom, rdn_digit_add(rdnn(n0), rdnn(n1), rdnn(n1), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n0_n1_n1_n0)).
% 0.47/1.41 fof(rdn_digit_add_n0_n2_n2_n0, axiom, rdn_digit_add(rdnn(n0), rdnn(n2), rdnn(n2), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n0_n2_n2_n0)).
% 0.47/1.41 fof(rdn_digit_add_n1_n0_n1_n0, axiom, rdn_digit_add(rdnn(n1), rdnn(n0), rdnn(n1), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n1_n0_n1_n0)).
% 0.47/1.41 fof(rdn_digit_add_n1_n6_n7_n0, axiom, rdn_digit_add(rdnn(n1), rdnn(n6), rdnn(n7), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n1_n6_n7_n0)).
% 0.47/1.41 fof(rdn_digit_add_n2_n0_n2_n0, axiom, rdn_digit_add(rdnn(n2), rdnn(n0), rdnn(n2), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n2_n0_n2_n0)).
% 0.47/1.41 fof(rdn_digit_add_n7_n0_n7_n0, axiom, rdn_digit_add(rdnn(n7), rdnn(n0), rdnn(n7), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n7_n0_n7_n0)).
% 0.47/1.41 fof(add_rdn_digit_rdn, axiom, ! [_285003, _285006, _285009, _285012, _285015, _285018] : (rdn_add_with_carry(rdnn(_285003), rdnn(_285012), rdn(rdnn(_285006), _285009), rdn(rdnn(_285015), _285018)) => rdn_add_with_carry(rdnn(_285003), rdn(rdnn(_285006), _285009), rdnn(_285012), rdn(rdnn(_285015), _285018))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_rdn_digit_rdn)).
% 0.47/1.41
% 0.47/1.41 cnf(1, plain, [sum(n126, n1, _227100)], clausify(show_upper_boundary)).
% 0.47/1.41 cnf(2, plain, [-(_96531 = _96531)], theory(equality)).
% 0.47/1.41 cnf(3, plain, [-(rdn_digit_add(_101309, _101512, _101711, _101906)), rdn_digit_add(_101206, _101411, _101612, _101809), _101206 = _101309, _101411 = _101512, _101612 = _101711, _101809 = _101906], theory(equality)).
% 0.47/1.41 cnf(4, plain, [-(rdn_translate(n1, rdn_pos(rdnn(n1))))], clausify(rdn1)).
% 0.47/1.41 cnf(5, plain, [-(rdn_translate(n126, rdn_pos(rdn(rdnn(n6), rdn(rdnn(n2), rdnn(n1))))))], clausify(rdn126)).
% 0.47/1.41 cnf(6, plain, [-(rdn_translate(n127, rdn_pos(rdn(rdnn(n7), rdn(rdnn(n2), rdnn(n1))))))], clausify(rdn127)).
% 0.47/1.41 cnf(7, plain, [-(rdn_non_zero_digit(rdnn(n1)))], clausify(rdn_digit1)).
% 0.47/1.41 cnf(8, plain, [rdn_non_zero_digit(rdnn(_174005)), -(rdn_non_zero(rdnn(_174005)))], clausify(rdn_non_zero_by_digit)).
% 0.47/1.41 cnf(9, plain, [rdn_non_zero(_174299), -(rdn_non_zero(rdn(rdnn(_174251), _174299)))], clausify(rdn_non_zero_by_structure)).
% 0.47/1.41 cnf(10, plain, [-(sum(_178326, _178418, _178509)), rdn_translate(_178326, rdn_pos(_178599)), rdn_translate(_178418, rdn_pos(_178688)), rdn_add_with_carry(rdnn(n0), _178599, _178688, _178776), rdn_translate(_178509, rdn_pos(_178776))], clausify(sum_entry_point_pos_pos)).
% 0.47/1.41 cnf(11, plain, [-(rdn_add_with_carry(rdnn(_187116), rdnn(_187208), rdnn(_187299), rdnn(_187389))), rdn_digit_add(rdnn(_187208), rdnn(_187299), rdnn(_187478), rdnn(n0)), rdn_digit_add(rdnn(_187478), rdnn(_187116), rdnn(_187389), rdnn(n0))], clausify(add_digit_digit_digit)).
% 0.47/1.41 cnf(12, plain, [-(rdn_add_with_carry(rdnn(_190173), rdnn(_190334), rdn(rdnn(_190494), _190653), rdn(rdnn(_190811), _190968))), rdn_digit_add(rdnn(_190334), rdnn(_190494), rdnn(_191124), rdnn(_191279)), rdn_digit_add(rdnn(_191124), rdnn(_190173), rdnn(_190811), rdnn(_191433)), rdn_digit_add(rdnn(_191279), rdnn(_191433), rdnn(_191586), rdnn(n0)), rdn_add_with_carry(rdnn(_191586), rdnn(n0), _190653, _190968), rdn_non_zero(_190653), rdn_non_zero(_190968)], clausify(add_digit_rdn_rdn)).
% 0.47/1.41 cnf(13, plain, [-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))], clausify(rdn_digit_add_n0_n0_n0_n0)).
% 0.47/1.41 cnf(14, plain, [-(rdn_digit_add(rdnn(n0), rdnn(n1), rdnn(n1), rdnn(n0)))], clausify(rdn_digit_add_n0_n1_n1_n0)).
% 0.47/1.41 cnf(15, plain, [-(rdn_digit_add(rdnn(n0), rdnn(n2), rdnn(n2), rdnn(n0)))], clausify(rdn_digit_add_n0_n2_n2_n0)).
% 0.47/1.41 cnf(16, plain, [-(rdn_digit_add(rdnn(n1), rdnn(n0), rdnn(n1), rdnn(n0)))], clausify(rdn_digit_add_n1_n0_n1_n0)).
% 0.47/1.41 cnf(17, plain, [-(rdn_digit_add(rdnn(n1), rdnn(n6), rdnn(n7), rdnn(n0)))], clausify(rdn_digit_add_n1_n6_n7_n0)).
% 0.47/1.41 cnf(18, plain, [-(rdn_digit_add(rdnn(n2), rdnn(n0), rdnn(n2), rdnn(n0)))], clausify(rdn_digit_add_n2_n0_n2_n0)).
% 0.47/1.41 cnf(19, plain, [-(rdn_digit_add(rdnn(n7), rdnn(n0), rdnn(n7), rdnn(n0)))], clausify(rdn_digit_add_n7_n0_n7_n0)).
% 0.47/1.41 cnf(20, plain, [rdn_add_with_carry(rdnn(_196412), rdnn(_196700), rdn(rdnn(_196509), _196605), rdn(rdnn(_196794), _196887)), -(rdn_add_with_carry(rdnn(_196412), rdn(rdnn(_196509), _196605), rdnn(_196700), rdn(rdnn(_196794), _196887)))], clausify(add_rdn_digit_rdn)).
% 0.47/1.41
% 0.47/1.41 cnf('1',plain,[sum(n126, n1, n127)],start(1,bind([[_227100], [n127]]))).
% 0.47/1.41 cnf('1.1',plain,[-(sum(n126, n1, n127)), rdn_translate(n126, rdn_pos(rdn(rdnn(n6), rdn(rdnn(n2), rdnn(n1))))), rdn_translate(n1, rdn_pos(rdnn(n1))), rdn_add_with_carry(rdnn(n0), rdn(rdnn(n6), rdn(rdnn(n2), rdnn(n1))), rdnn(n1), rdn(rdnn(n7), rdn(rdnn(n2), rdnn(n1)))), rdn_translate(n127, rdn_pos(rdn(rdnn(n7), rdn(rdnn(n2), rdnn(n1)))))],extension(10,bind([[_178326, _178418, _178599, _178688, _178509, _178776], [n126, n1, rdn(rdnn(n6), rdn(rdnn(n2), rdnn(n1))), rdnn(n1), n127, rdn(rdnn(n7), rdn(rdnn(n2), rdnn(n1)))]]))).
% 0.47/1.41 cnf('1.1.1',plain,[-(rdn_translate(n126, rdn_pos(rdn(rdnn(n6), rdn(rdnn(n2), rdnn(n1))))))],extension(5)).
% 0.47/1.41 cnf('1.1.2',plain,[-(rdn_translate(n1, rdn_pos(rdnn(n1))))],extension(4)).
% 0.47/1.41 cnf('1.1.3',plain,[-(rdn_add_with_carry(rdnn(n0), rdn(rdnn(n6), rdn(rdnn(n2), rdnn(n1))), rdnn(n1), rdn(rdnn(n7), rdn(rdnn(n2), rdnn(n1))))), rdn_add_with_carry(rdnn(n0), rdnn(n1), rdn(rdnn(n6), rdn(rdnn(n2), rdnn(n1))), rdn(rdnn(n7), rdn(rdnn(n2), rdnn(n1))))],extension(20,bind([[_196412, _196700, _196509, _196605, _196794, _196887], [n0, n1, n6, rdn(rdnn(n2), rdnn(n1)), n7, rdn(rdnn(n2), rdnn(n1))]]))).
% 0.47/1.41 cnf('1.1.3.1',plain,[-(rdn_add_with_carry(rdnn(n0), rdnn(n1), rdn(rdnn(n6), rdn(rdnn(n2), rdnn(n1))), rdn(rdnn(n7), rdn(rdnn(n2), rdnn(n1))))), rdn_digit_add(rdnn(n1), rdnn(n6), 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(n0), rdn(rdnn(n2), rdnn(n1)), rdn(rdnn(n2), rdnn(n1))), rdn_non_zero(rdn(rdnn(n2), rdnn(n1))), rdn_non_zero(rdn(rdnn(n2), rdnn(n1)))],extension(12,bind([[_190334, _190494, _191124, _190173, _190811, _191279, _191433, _191586, _190653, _190968], [n1, n6, n7, n0, n7, n0, n0, n0, rdn(rdnn(n2), rdnn(n1)), rdn(rdnn(n2), rdnn(n1))]]))).
% 0.47/1.41 cnf('1.1.3.1.1',plain,[-(rdn_digit_add(rdnn(n1), rdnn(n6), rdnn(n7), rdnn(n0)))],extension(17)).
% 0.47/1.41 cnf('1.1.3.1.2',plain,[-(rdn_digit_add(rdnn(n7), rdnn(n0), rdnn(n7), rdnn(n0)))],extension(19)).
% 0.47/1.41 cnf('1.1.3.1.3',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0))), rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)), rdnn(n0) = rdnn(n0), rdnn(n0) = rdnn(n0), rdnn(n0) = rdnn(n0), rdnn(n0) = rdnn(n0)],extension(3,bind([[_101206, _101309, _101411, _101512, _101612, _101711, _101809, _101906], [rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)]]))).
% 0.47/1.41 cnf('1.1.3.1.3.1',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))],extension(13)).
% 0.47/1.41 cnf('1.1.3.1.3.2',plain,[-(rdnn(n0) = rdnn(n0))],extension(2,bind([[_96531], [rdnn(n0)]]))).
% 0.47/1.41 cnf('1.1.3.1.3.3',plain,[-(rdnn(n0) = rdnn(n0))],extension(2,bind([[_96531], [rdnn(n0)]]))).
% 0.47/1.41 cnf('1.1.3.1.3.4',plain,[-(rdnn(n0) = rdnn(n0))],extension(2,bind([[_96531], [rdnn(n0)]]))).
% 0.47/1.41 cnf('1.1.3.1.3.5',plain,[-(rdnn(n0) = rdnn(n0))],extension(2,bind([[_96531], [rdnn(n0)]]))).
% 0.47/1.41 cnf('1.1.3.1.4',plain,[-(rdn_add_with_carry(rdnn(n0), rdnn(n0), rdn(rdnn(n2), rdnn(n1)), rdn(rdnn(n2), rdnn(n1)))), rdn_digit_add(rdnn(n0), rdnn(n2), rdnn(n2), rdnn(n0)), rdn_digit_add(rdnn(n2), rdnn(n0), rdnn(n2), rdnn(n0)), rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)), rdn_add_with_carry(rdnn(n0), rdnn(n0), rdnn(n1), rdnn(n1)), rdn_non_zero(rdnn(n1)), rdn_non_zero(rdnn(n1))],extension(12,bind([[_190334, _190494, _191124, _190173, _190811, _191279, _191433, _191586, _190653, _190968], [n0, n2, n2, n0, n2, n0, n0, n0, rdnn(n1), rdnn(n1)]]))).
% 0.47/1.41 cnf('1.1.3.1.4.1',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n2), rdnn(n2), rdnn(n0)))],extension(15)).
% 0.47/1.41 cnf('1.1.3.1.4.2',plain,[-(rdn_digit_add(rdnn(n2), rdnn(n0), rdnn(n2), rdnn(n0)))],extension(18)).
% 0.47/1.41 cnf('1.1.3.1.4.3',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))],extension(13)).
% 0.47/1.41 cnf('1.1.3.1.4.4',plain,[-(rdn_add_with_carry(rdnn(n0), rdnn(n0), rdnn(n1), rdnn(n1))), rdn_digit_add(rdnn(n0), rdnn(n1), rdnn(n1), rdnn(n0)), rdn_digit_add(rdnn(n1), rdnn(n0), rdnn(n1), rdnn(n0))],extension(11,bind([[_187208, _187299, _187478, _187116, _187389], [n0, n1, n1, n0, n1]]))).
% 0.47/1.41 cnf('1.1.3.1.4.4.1',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n1), rdnn(n1), rdnn(n0)))],extension(14)).
% 0.47/1.41 cnf('1.1.3.1.4.4.2',plain,[-(rdn_digit_add(rdnn(n1), rdnn(n0), rdnn(n1), rdnn(n0)))],extension(16)).
% 0.47/1.41 cnf('1.1.3.1.4.5',plain,[-(rdn_non_zero(rdnn(n1))), rdn_non_zero_digit(rdnn(n1))],extension(8,bind([[_174005], [n1]]))).
% 0.47/1.41 cnf('1.1.3.1.4.5.1',plain,[-(rdn_non_zero_digit(rdnn(n1)))],extension(7)).
% 0.47/1.41 cnf('1.1.3.1.4.6',plain,[-(rdn_non_zero(rdnn(n1)))],lemmata('1.1.3.1.4')).
% 0.47/1.41 cnf('1.1.3.1.5',plain,[-(rdn_non_zero(rdn(rdnn(n2), rdnn(n1)))), rdn_non_zero(rdnn(n1))],extension(9,bind([[_174251, _174299], [n2, rdnn(n1)]]))).
% 0.47/1.41 cnf('1.1.3.1.5.1',plain,[-(rdn_non_zero(rdnn(n1))), rdn_non_zero_digit(rdnn(n1))],extension(8,bind([[_174005], [n1]]))).
% 0.47/1.41 cnf('1.1.3.1.5.1.1',plain,[-(rdn_non_zero_digit(rdnn(n1)))],extension(7)).
% 0.47/1.41 cnf('1.1.3.1.6',plain,[-(rdn_non_zero(rdn(rdnn(n2), rdnn(n1))))],lemmata('1.1.3.1')).
% 0.47/1.41 cnf('1.1.4',plain,[-(rdn_translate(n127, rdn_pos(rdn(rdnn(n7), rdn(rdnn(n2), rdnn(n1))))))],extension(6)).
% 0.47/1.41 %-----------------------------------------------------
% 0.47/1.42
% 0.47/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------