TSTP Solution File: NUM341+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n007.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 11:40:08 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
% 0.03/0.12  % Problem  : NUM341+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n007.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 17:41:14 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.35/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42  
% 0.35/1.42  %-----------------------------------------------------
% 0.35/1.42  fof(add_same_as_subtract, conjecture, ? [_277092, _277095, _277098] : (sum(_277092, _277095, _277098) <=> difference(_277098, _277095, _277092) & difference(_277098, _277092, _277095)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', add_same_as_subtract)).
% 0.35/1.42  fof(rdn0, axiom, rdn_translate(n0, rdn_pos(rdnn(n0))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax', rdn0)).
% 0.35/1.42  fof(sum_entry_point_pos_pos, axiom, ! [_277697, _277700, _277703, _277706, _277709, _277712] : (rdn_translate(_277697, rdn_pos(_277706)) & rdn_translate(_277700, rdn_pos(_277709)) & rdn_add_with_carry(rdnn(n0), _277706, _277709, _277712) & rdn_translate(_277703, rdn_pos(_277712)) => sum(_277697, _277700, _277703)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 0.35/1.42  fof(minus_entry_point, axiom, ! [_278036, _278039, _278042] : (sum(_278039, _278042, _278036) <=> difference(_278036, _278039, _278042)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', minus_entry_point)).
% 0.35/1.42  fof(add_digit_digit_digit, axiom, ! [_278208, _278211, _278214, _278217, _278220] : (rdn_digit_add(rdnn(_278211), rdnn(_278214), rdnn(_278220), rdnn(n0)) & rdn_digit_add(rdnn(_278220), rdnn(_278208), rdnn(_278217), rdnn(n0)) => rdn_add_with_carry(rdnn(_278208), rdnn(_278211), rdnn(_278214), rdnn(_278217))), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 0.35/1.42  fof(rdn_digit_add_n0_n0_n0_n0, axiom, rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n0_n0_n0_n0)).
% 0.35/1.42  
% 0.35/1.42  cnf(1, plain, [-(2 ^ [_227491, _227432, _227372]), sum(_227372, _227432, _227491)], clausify(add_same_as_subtract)).
% 0.35/1.42  cnf(2, plain, [-(1 ^ [_227491, _227432, _227372]), difference(_227491, _227432, _227372), difference(_227491, _227372, _227432)], clausify(add_same_as_subtract)).
% 0.35/1.42  cnf(3, plain, [-(1 ^ [_227491, _227432, _227372]), -(sum(_227372, _227432, _227491))], clausify(add_same_as_subtract)).
% 0.35/1.42  cnf(4, plain, [2 ^ [_227491, _227432, _227372], 1 ^ [_227491, _227432, _227372]], clausify(add_same_as_subtract)).
% 0.35/1.42  cnf(5, plain, [-(rdn_translate(n0, rdn_pos(rdnn(n0))))], clausify(rdn0)).
% 0.35/1.42  cnf(6, plain, [-(sum(_178598, _178690, _178781)), rdn_translate(_178598, rdn_pos(_178871)), rdn_translate(_178690, rdn_pos(_178960)), rdn_add_with_carry(rdnn(n0), _178871, _178960, _179048), rdn_translate(_178781, rdn_pos(_179048))], clausify(sum_entry_point_pos_pos)).
% 0.35/1.42  cnf(7, plain, [sum(_186979, _187030, _186927), -(difference(_186927, _186979, _187030))], clausify(minus_entry_point)).
% 0.35/1.42  cnf(8, plain, [-(rdn_add_with_carry(rdnn(_187388), rdnn(_187480), rdnn(_187571), rdnn(_187661))), rdn_digit_add(rdnn(_187480), rdnn(_187571), rdnn(_187750), rdnn(n0)), rdn_digit_add(rdnn(_187750), rdnn(_187388), rdnn(_187661), rdnn(n0))], clausify(add_digit_digit_digit)).
% 0.35/1.42  cnf(9, plain, [-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))], clausify(rdn_digit_add_n0_n0_n0_n0)).
% 0.35/1.42  
% 0.35/1.42  cnf('1',plain,[2 ^ [n0, n0, n0], 1 ^ [n0, n0, n0]],start(4,bind([[_227491, _227432, _227372], [n0, n0, n0]]))).
% 0.35/1.42  cnf('1.1',plain,[-(2 ^ [n0, n0, n0]), sum(n0, n0, n0)],extension(1,bind([[_227372, _227432, _227491], [n0, n0, n0]]))).
% 0.35/1.42  cnf('1.1.1',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(6,bind([[_178598, _178690, _178871, _178960, _178781, _179048], [n0, n0, rdnn(n0), rdnn(n0), n0, rdnn(n0)]]))).
% 0.35/1.42  cnf('1.1.1.1',plain,[-(rdn_translate(n0, rdn_pos(rdnn(n0))))],extension(5)).
% 0.35/1.42  cnf('1.1.1.2',plain,[-(rdn_translate(n0, rdn_pos(rdnn(n0))))],extension(5)).
% 0.35/1.42  cnf('1.1.1.3',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(8,bind([[_187480, _187571, _187750, _187388, _187661], [n0, n0, n0, n0, n0]]))).
% 0.35/1.42  cnf('1.1.1.3.1',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))],extension(9)).
% 0.35/1.42  cnf('1.1.1.3.2',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))],extension(9)).
% 0.35/1.42  cnf('1.1.1.4',plain,[-(rdn_translate(n0, rdn_pos(rdnn(n0))))],extension(5)).
% 0.35/1.42  cnf('1.2',plain,[-(1 ^ [n0, n0, n0]), difference(n0, n0, n0), difference(n0, n0, n0)],extension(2,bind([[_227491, _227372, _227432], [n0, n0, n0]]))).
% 0.35/1.42  cnf('1.2.1',plain,[-(difference(n0, n0, n0)), sum(n0, n0, n0)],extension(7,bind([[_186979, _187030, _186927], [n0, n0, n0]]))).
% 0.35/1.42  cnf('1.2.1.1',plain,[-(sum(n0, n0, n0)), -(1 ^ [n0, n0, n0])],extension(3,bind([[_227491, _227432, _227372], [n0, n0, n0]]))).
% 0.35/1.42  cnf('1.2.1.1.1',plain,[1 ^ [n0, n0, n0]],reduction('1')).
% 0.35/1.42  cnf('1.2.2',plain,[-(difference(n0, n0, n0))],lemmata('1.2')).
% 0.35/1.42  %-----------------------------------------------------
% 0.35/1.43  
% 0.35/1.43  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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