%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM344+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 11:40:09 EDT 2022
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM344+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n029.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 : Tue Jul 5 11:43:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.35/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.43
% 0.35/1.43 %-----------------------------------------------------
% 0.35/1.43 fof(exist_bigger_plus_one, conjecture, ? [_274295, _274298] : (sum(_274295, n1, _274298) & less(_274295, _274298)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', exist_bigger_plus_one)).
% 0.35/1.43 fof(rdn0, axiom, rdn_translate(n0, rdn_pos(rdnn(n0))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn0)).
% 0.35/1.43 fof(rdn1, axiom, rdn_translate(n1, rdn_pos(rdnn(n1))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn1)).
% 0.35/1.43 fof(rdn_positive_less01, axiom, rdn_positive_less(rdnn(n0), rdnn(n1)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_positive_less01)).
% 0.35/1.43 fof(less_entry_point_pos_pos, axiom, ! [_274916, _274919, _274922, _274925] : (rdn_translate(_274916, rdn_pos(_274922)) & rdn_translate(_274919, rdn_pos(_274925)) & rdn_positive_less(_274922, _274925) => less(_274916, _274919)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', less_entry_point_pos_pos)).
% 0.35/1.43 fof(sum_entry_point_pos_pos, axiom, ! [_275167, _275170, _275173, _275176, _275179, _275182] : (rdn_translate(_275167, rdn_pos(_275176)) & rdn_translate(_275170, rdn_pos(_275179)) & rdn_add_with_carry(rdnn(n0), _275176, _275179, _275182) & rdn_translate(_275173, rdn_pos(_275182)) => sum(_275167, _275170, _275173)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 0.35/1.43 fof(add_digit_digit_digit, axiom, ! [_275508, _275511, _275514, _275517, _275520] : (rdn_digit_add(rdnn(_275511), rdnn(_275514), rdnn(_275520), rdnn(n0)) & rdn_digit_add(rdnn(_275520), rdnn(_275508), rdnn(_275517), rdnn(n0)) => rdn_add_with_carry(rdnn(_275508), rdnn(_275511), rdnn(_275514), rdnn(_275517))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 0.35/1.43 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)).
% 0.35/1.43 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)).
% 0.35/1.43
% 0.35/1.43 cnf(1, plain, [sum(_227205, n1, _227252), less(_227205, _227252)], clausify(exist_bigger_plus_one)).
% 0.35/1.43 cnf(2, plain, [-(rdn_translate(n0, rdn_pos(rdnn(n0))))], clausify(rdn0)).
% 0.35/1.43 cnf(3, plain, [-(rdn_translate(n1, rdn_pos(rdnn(n1))))], clausify(rdn1)).
% 0.35/1.43 cnf(4, plain, [-(rdn_positive_less(rdnn(n0), rdnn(n1)))], clausify(rdn_positive_less01)).
% 0.35/1.43 cnf(5, plain, [-(less(_174683, _174754)), rdn_translate(_174683, rdn_pos(_174824)), rdn_translate(_174754, rdn_pos(_174893)), rdn_positive_less(_174824, _174893)], clausify(less_entry_point_pos_pos)).
% 0.35/1.43 cnf(6, plain, [-(sum(_178431, _178523, _178614)), rdn_translate(_178431, rdn_pos(_178704)), rdn_translate(_178523, rdn_pos(_178793)), rdn_add_with_carry(rdnn(n0), _178704, _178793, _178881), rdn_translate(_178614, rdn_pos(_178881))], clausify(sum_entry_point_pos_pos)).
% 0.35/1.43 cnf(7, plain, [-(rdn_add_with_carry(rdnn(_187221), rdnn(_187313), rdnn(_187404), rdnn(_187494))), rdn_digit_add(rdnn(_187313), rdnn(_187404), rdnn(_187583), rdnn(n0)), rdn_digit_add(rdnn(_187583), rdnn(_187221), rdnn(_187494), rdnn(n0))], clausify(add_digit_digit_digit)).
% 0.35/1.43 cnf(8, plain, [-(rdn_digit_add(rdnn(n0), rdnn(n1), rdnn(n1), rdnn(n0)))], clausify(rdn_digit_add_n0_n1_n1_n0)).
% 0.35/1.43 cnf(9, plain, [-(rdn_digit_add(rdnn(n1), rdnn(n0), rdnn(n1), rdnn(n0)))], clausify(rdn_digit_add_n1_n0_n1_n0)).
% 0.35/1.43
% 0.35/1.43 cnf('1',plain,[sum(n0, n1, n1), less(n0, n1)],start(1,bind([[_227205, _227252], [n0, n1]]))).
% 0.35/1.43 cnf('1.1',plain,[-(sum(n0, n1, n1)), rdn_translate(n0, rdn_pos(rdnn(n0))), rdn_translate(n1, rdn_pos(rdnn(n1))), rdn_add_with_carry(rdnn(n0), rdnn(n0), rdnn(n1), rdnn(n1)), rdn_translate(n1, rdn_pos(rdnn(n1)))],extension(6,bind([[_178431, _178523, _178704, _178793, _178614, _178881], [n0, n1, rdnn(n0), rdnn(n1), n1, rdnn(n1)]]))).
% 0.35/1.43 cnf('1.1.1',plain,[-(rdn_translate(n0, rdn_pos(rdnn(n0))))],extension(2)).
% 0.35/1.43 cnf('1.1.2',plain,[-(rdn_translate(n1, rdn_pos(rdnn(n1))))],extension(3)).
% 0.35/1.43 cnf('1.1.3',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(7,bind([[_187313, _187404, _187583, _187221, _187494], [n0, n1, n1, n0, n1]]))).
% 0.35/1.43 cnf('1.1.3.1',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n1), rdnn(n1), rdnn(n0)))],extension(8)).
% 0.35/1.43 cnf('1.1.3.2',plain,[-(rdn_digit_add(rdnn(n1), rdnn(n0), rdnn(n1), rdnn(n0)))],extension(9)).
% 0.35/1.43 cnf('1.1.4',plain,[-(rdn_translate(n1, rdn_pos(rdnn(n1))))],extension(3)).
% 0.35/1.43 cnf('1.2',plain,[-(less(n0, n1)), rdn_translate(n0, rdn_pos(rdnn(n0))), rdn_translate(n1, rdn_pos(rdnn(n1))), rdn_positive_less(rdnn(n0), rdnn(n1))],extension(5,bind([[_174683, _174754, _174824, _174893], [n0, n1, rdnn(n0), rdnn(n1)]]))).
% 0.35/1.43 cnf('1.2.1',plain,[-(rdn_translate(n0, rdn_pos(rdnn(n0))))],extension(2)).
% 0.35/1.43 cnf('1.2.2',plain,[-(rdn_translate(n1, rdn_pos(rdnn(n1))))],extension(3)).
% 0.35/1.43 cnf('1.2.3',plain,[-(rdn_positive_less(rdnn(n0), rdnn(n1)))],extension(4)).
% 0.35/1.43 %-----------------------------------------------------
% 0.35/1.43
% 0.35/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------