TSTP Solution File: NUM306+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM306+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n027.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 11:39:56 EDT 2022
% Result : Theorem 0.34s 1.41s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM306+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n027.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 12:24:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.34/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42 fof(sum_n23_n34_n57, conjecture, sum(n23, n34, n57), file('/export/starexec/sandbox/benchmark/theBenchmark.p', sum_n23_n34_n57)).
% 0.34/1.42 fof(rdn23, axiom, rdn_translate(n23, rdn_pos(rdn(rdnn(n3), rdnn(n2)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn23)).
% 0.34/1.42 fof(rdn34, axiom, rdn_translate(n34, rdn_pos(rdn(rdnn(n4), rdnn(n3)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn34)).
% 0.34/1.42 fof(rdn57, axiom, rdn_translate(n57, rdn_pos(rdn(rdnn(n7), rdnn(n5)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn57)).
% 0.34/1.42 fof(rdn_digit2, axiom, rdn_non_zero_digit(rdnn(n2)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_digit2)).
% 0.34/1.42 fof(rdn_digit3, axiom, rdn_non_zero_digit(rdnn(n3)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_digit3)).
% 0.34/1.42 fof(rdn_digit5, axiom, rdn_non_zero_digit(rdnn(n5)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_digit5)).
% 0.34/1.42 fof(rdn_non_zero_by_digit, axiom, ! [_277124] : (rdn_non_zero_digit(rdnn(_277124)) => rdn_non_zero(rdnn(_277124))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax', rdn_non_zero_by_digit)).
% 0.34/1.42 fof(sum_entry_point_pos_pos, axiom, ! [_277274, _277277, _277280, _277283, _277286, _277289] : (rdn_translate(_277274, rdn_pos(_277283)) & rdn_translate(_277277, rdn_pos(_277286)) & rdn_add_with_carry(rdnn(n0), _277283, _277286, _277289) & rdn_translate(_277280, rdn_pos(_277289)) => sum(_277274, _277277, _277280)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 0.34/1.42 fof(add_digit_digit_digit, axiom, ! [_277615, _277618, _277621, _277624, _277627] : (rdn_digit_add(rdnn(_277618), rdnn(_277621), rdnn(_277627), rdnn(n0)) & rdn_digit_add(rdnn(_277627), rdnn(_277615), rdnn(_277624), rdnn(n0)) => rdn_add_with_carry(rdnn(_277615), rdnn(_277618), rdnn(_277621), rdnn(_277624))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_digit_digit_digit)).
% 0.34/1.42 fof(rdn_digit_add_n0_n0_n0_n0, axiom, rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n0_n0_n0_n0)).
% 0.34/1.42 fof(rdn_digit_add_n2_n3_n5_n0, axiom, rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n2_n3_n5_n0)).
% 0.34/1.42 fof(rdn_digit_add_n3_n4_n7_n0, axiom, rdn_digit_add(rdnn(n3), rdnn(n4), rdnn(n7), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n3_n4_n7_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/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n5_n0_n5_n0)).
% 0.34/1.42 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)).
% 0.34/1.42 fof(add_rdn_rdn_rdn, axiom, ! [_278430, _278433, _278436, _278439, _278442, _278445, _278448, _278451, _278454, _278457, _278460] : (rdn_digit_add(rdnn(_278433), rdnn(_278439), rdnn(_278451), rdnn(_278454)) & rdn_digit_add(rdnn(_278451), rdnn(_278430), rdnn(_278445), rdnn(_278457)) & rdn_digit_add(rdnn(_278454), rdnn(_278457), rdnn(_278460), rdnn(n0)) & rdn_add_with_carry(rdnn(_278460), _278436, _278442, _278448) & rdn_non_zero(_278436) & rdn_non_zero(_278442) & rdn_non_zero(_278448) => rdn_add_with_carry(rdnn(_278430), rdn(rdnn(_278433), _278436), rdn(rdnn(_278439), _278442), rdn(rdnn(_278445), _278448))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_rdn_rdn_rdn)).
% 0.34/1.42
% 0.34/1.42 cnf(1, plain, [sum(n23, n34, n57)], clausify(sum_n23_n34_n57)).
% 0.34/1.42 cnf(2, plain, [-(rdn_translate(n23, rdn_pos(rdn(rdnn(n3), rdnn(n2)))))], clausify(rdn23)).
% 0.34/1.42 cnf(3, plain, [-(rdn_translate(n34, rdn_pos(rdn(rdnn(n4), rdnn(n3)))))], clausify(rdn34)).
% 0.34/1.42 cnf(4, plain, [-(rdn_translate(n57, rdn_pos(rdn(rdnn(n7), rdnn(n5)))))], clausify(rdn57)).
% 0.34/1.42 cnf(5, plain, [-(rdn_non_zero_digit(rdnn(n2)))], clausify(rdn_digit2)).
% 0.34/1.42 cnf(6, plain, [-(rdn_non_zero_digit(rdnn(n3)))], clausify(rdn_digit3)).
% 0.34/1.42 cnf(7, plain, [-(rdn_non_zero_digit(rdnn(n5)))], clausify(rdn_digit5)).
% 0.34/1.42 cnf(8, plain, [rdn_non_zero_digit(rdnn(_173930)), -(rdn_non_zero(rdnn(_173930)))], clausify(rdn_non_zero_by_digit)).
% 0.34/1.42 cnf(9, plain, [-(sum(_178251, _178343, _178434)), rdn_translate(_178251, rdn_pos(_178524)), rdn_translate(_178343, rdn_pos(_178613)), rdn_add_with_carry(rdnn(n0), _178524, _178613, _178701), rdn_translate(_178434, rdn_pos(_178701))], clausify(sum_entry_point_pos_pos)).
% 0.34/1.42 cnf(10, plain, [-(rdn_add_with_carry(rdnn(_187041), rdnn(_187133), rdnn(_187224), rdnn(_187314))), rdn_digit_add(rdnn(_187133), rdnn(_187224), rdnn(_187403), rdnn(n0)), rdn_digit_add(rdnn(_187403), rdnn(_187041), rdnn(_187314), rdnn(n0))], clausify(add_digit_digit_digit)).
% 0.34/1.42 cnf(11, plain, [-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))], clausify(rdn_digit_add_n0_n0_n0_n0)).
% 0.34/1.42 cnf(12, plain, [-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n2_n3_n5_n0)).
% 0.34/1.42 cnf(13, plain, [-(rdn_digit_add(rdnn(n3), rdnn(n4), rdnn(n7), rdnn(n0)))], clausify(rdn_digit_add_n3_n4_n7_n0)).
% 0.34/1.42 cnf(14, plain, [-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))], clausify(rdn_digit_add_n5_n0_n5_n0)).
% 0.34/1.42 cnf(15, plain, [-(rdn_digit_add(rdnn(n7), rdnn(n0), rdnn(n7), rdnn(n0)))], clausify(rdn_digit_add_n7_n0_n7_n0)).
% 0.34/1.42 cnf(16, plain, [-(rdn_add_with_carry(rdnn(_193030), rdn(rdnn(_193204), _193377), rdn(rdnn(_193549), _193720), rdn(rdnn(_193890), _194059))), rdn_digit_add(rdnn(_193204), rdnn(_193549), rdnn(_194227), rdnn(_194394)), rdn_digit_add(rdnn(_194227), rdnn(_193030), rdnn(_193890), rdnn(_194560)), rdn_digit_add(rdnn(_194394), rdnn(_194560), rdnn(_194725), rdnn(n0)), rdn_add_with_carry(rdnn(_194725), _193377, _193720, _194059), rdn_non_zero(_193377), rdn_non_zero(_193720), rdn_non_zero(_194059)], clausify(add_rdn_rdn_rdn)).
% 0.34/1.42
% 0.34/1.42 cnf('1',plain,[sum(n23, n34, n57)],start(1)).
% 0.34/1.42 cnf('1.1',plain,[-(sum(n23, n34, n57)), rdn_translate(n23, rdn_pos(rdn(rdnn(n3), rdnn(n2)))), rdn_translate(n34, rdn_pos(rdn(rdnn(n4), rdnn(n3)))), rdn_add_with_carry(rdnn(n0), rdn(rdnn(n3), rdnn(n2)), rdn(rdnn(n4), rdnn(n3)), rdn(rdnn(n7), rdnn(n5))), rdn_translate(n57, rdn_pos(rdn(rdnn(n7), rdnn(n5))))],extension(9,bind([[_178251, _178343, _178524, _178613, _178434, _178701], [n23, n34, rdn(rdnn(n3), rdnn(n2)), rdn(rdnn(n4), rdnn(n3)), n57, rdn(rdnn(n7), rdnn(n5))]]))).
% 0.34/1.42 cnf('1.1.1',plain,[-(rdn_translate(n23, rdn_pos(rdn(rdnn(n3), rdnn(n2)))))],extension(2)).
% 0.34/1.42 cnf('1.1.2',plain,[-(rdn_translate(n34, rdn_pos(rdn(rdnn(n4), rdnn(n3)))))],extension(3)).
% 0.34/1.42 cnf('1.1.3',plain,[-(rdn_add_with_carry(rdnn(n0), rdn(rdnn(n3), rdnn(n2)), rdn(rdnn(n4), rdnn(n3)), rdn(rdnn(n7), rdnn(n5)))), rdn_digit_add(rdnn(n3), rdnn(n4), 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(n2), rdnn(n3), rdnn(n5)), rdn_non_zero(rdnn(n2)), rdn_non_zero(rdnn(n3)), rdn_non_zero(rdnn(n5))],extension(16,bind([[_193204, _193549, _194227, _193030, _193890, _194394, _194560, _194725, _193377, _193720, _194059], [n3, n4, n7, n0, n7, n0, n0, n0, rdnn(n2), rdnn(n3), rdnn(n5)]]))).
% 0.34/1.42 cnf('1.1.3.1',plain,[-(rdn_digit_add(rdnn(n3), rdnn(n4), rdnn(n7), rdnn(n0)))],extension(13)).
% 0.34/1.42 cnf('1.1.3.2',plain,[-(rdn_digit_add(rdnn(n7), rdnn(n0), rdnn(n7), rdnn(n0)))],extension(15)).
% 0.34/1.42 cnf('1.1.3.3',plain,[-(rdn_digit_add(rdnn(n0), rdnn(n0), rdnn(n0), rdnn(n0)))],extension(11)).
% 0.34/1.42 cnf('1.1.3.4',plain,[-(rdn_add_with_carry(rdnn(n0), rdnn(n2), rdnn(n3), rdnn(n5))), rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)), rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0))],extension(10,bind([[_187133, _187224, _187403, _187041, _187314], [n2, n3, n5, n0, n5]]))).
% 0.34/1.42 cnf('1.1.3.4.1',plain,[-(rdn_digit_add(rdnn(n2), rdnn(n3), rdnn(n5), rdnn(n0)))],extension(12)).
% 0.34/1.42 cnf('1.1.3.4.2',plain,[-(rdn_digit_add(rdnn(n5), rdnn(n0), rdnn(n5), rdnn(n0)))],extension(14)).
% 0.34/1.42 cnf('1.1.3.5',plain,[-(rdn_non_zero(rdnn(n2))), rdn_non_zero_digit(rdnn(n2))],extension(8,bind([[_173930], [n2]]))).
% 0.34/1.42 cnf('1.1.3.5.1',plain,[-(rdn_non_zero_digit(rdnn(n2)))],extension(5)).
% 0.34/1.42 cnf('1.1.3.6',plain,[-(rdn_non_zero(rdnn(n3))), rdn_non_zero_digit(rdnn(n3))],extension(8,bind([[_173930], [n3]]))).
% 0.34/1.42 cnf('1.1.3.6.1',plain,[-(rdn_non_zero_digit(rdnn(n3)))],extension(6)).
% 0.34/1.42 cnf('1.1.3.7',plain,[-(rdn_non_zero(rdnn(n5))), rdn_non_zero_digit(rdnn(n5))],extension(8,bind([[_173930], [n5]]))).
% 0.34/1.42 cnf('1.1.3.7.1',plain,[-(rdn_non_zero_digit(rdnn(n5)))],extension(7)).
% 0.34/1.42 cnf('1.1.4',plain,[-(rdn_translate(n57, rdn_pos(rdn(rdnn(n7), rdnn(n5)))))],extension(4)).
% 0.34/1.42 %-----------------------------------------------------
% 0.34/1.42
% 0.34/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------