%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM329+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 0.33s 1.40s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM329+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n013.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 : Thu Jul 7 04:16:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.33/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.41 fof(idempotent_element, conjecture, ? [_273024] : sum(_273024, _273024, _273024), file('/export/starexec/sandbox/benchmark/theBenchmark.p', idempotent_element)).
% 0.33/1.41 fof(rdn0, axiom, rdn_translate(n0, rdn_pos(rdnn(n0))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn0)).
% 0.33/1.41 fof(sum_entry_point_pos_pos, axiom, ! [_273502, _273505, _273508, _273511, _273514, _273517] : (rdn_translate(_273502, rdn_pos(_273511)) & rdn_translate(_273505, rdn_pos(_273514)) & rdn_add_with_carry(rdnn(n0), _273511, _273514, _273517) & rdn_translate(_273508, rdn_pos(_273517)) => sum(_273502, _273505, _273508)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 0.33/1.41 fof(add_digit_digit_digit, axiom, ! [_273843, _273846, _273849, _273852, _273855] : (rdn_digit_add(rdnn(_273846), rdnn(_273849), rdnn(_273855), rdnn(n0)) & rdn_digit_add(rdnn(_273855), rdnn(_273843), rdnn(_273852), rdnn(n0)) => rdn_add_with_carry(rdnn(_273843), rdnn(_273846), rdnn(_273849), rdnn(_273852))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 0.33/1.41 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)).
% 0.33/1.41
% 0.33/1.41 cnf(1, plain, [sum(_227096, _227096, _227096)], clausify(idempotent_element)).
% 0.33/1.41 cnf(2, plain, [-(rdn_translate(n0, rdn_pos(rdnn(n0))))], clausify(rdn0)).
% 0.33/1.41 cnf(3, plain, [-(sum(_178322, _178414, _178505)), rdn_translate(_178322, rdn_pos(_178595)), rdn_translate(_178414, rdn_pos(_178684)), rdn_add_with_carry(rdnn(n0), _178595, _178684, _178772), rdn_translate(_178505, rdn_pos(_178772))], clausify(sum_entry_point_pos_pos)).
% 0.33/1.41 cnf(4, plain, [-(rdn_add_with_carry(rdnn(_187112), rdnn(_187204), rdnn(_187295), rdnn(_187385))), rdn_digit_add(rdnn(_187204), rdnn(_187295), rdnn(_187474), rdnn(n0)), rdn_digit_add(rdnn(_187474), rdnn(_187112), rdnn(_187385), rdnn(n0))], clausify(add_digit_digit_digit)).
% 0.33/1.41 cnf(5, plain, [-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))], clausify(rdn_digit_add_n0_n0_n0_n0)).
% 0.33/1.41
% 0.33/1.41 cnf('1',plain,[sum(n0, n0, n0)],start(1,bind([[_227096], [n0]]))).
% 0.33/1.41 cnf('1.1',plain,[-(sum(n0, n0, n0)), rdn_translate(n0, rdn_pos(rdnn(n0))), rdn_translate(n0, rdn_pos(rdnn(n0))), rdn_add_with_carry(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)), rdn_translate(n0, rdn_pos(rdnn(n0)))],extension(3,bind([[_178322, _178414, _178595, _178684, _178505, _178772], [n0, n0, rdnn(n0), rdnn(n0), n0, rdnn(n0)]]))).
% 0.33/1.41 cnf('1.1.1',plain,[-(rdn_translate(n0, rdn_pos(rdnn(n0))))],extension(2)).
% 0.33/1.41 cnf('1.1.2',plain,[-(rdn_translate(n0, rdn_pos(rdnn(n0))))],extension(2)).
% 0.33/1.41 cnf('1.1.3',plain,[-(rdn_add_with_carry(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0))), rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)), rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0))],extension(4,bind([[_187204, _187295, _187474, _187112, _187385], [n0, n0, n0, n0, n0]]))).
% 0.33/1.41 cnf('1.1.3.1',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))],extension(5)).
% 0.33/1.41 cnf('1.1.3.2',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))],extension(5)).
% 0.33/1.41 cnf('1.1.4',plain,[-(rdn_translate(n0, rdn_pos(rdnn(n0))))],extension(2)).
% 0.33/1.41 %-----------------------------------------------------
% 0.33/1.42
% 0.33/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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