TSTP Solution File: NUM331+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM331+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n012.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 205.98s 199.69s
% Output : Proof 205.98s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM331+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n012.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 04:48:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 205.98/199.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 205.98/199.70 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 205.98/199.71
% 205.98/199.71 %-----------------------------------------------------
% 205.98/199.71 fof(rdn13, axiom, rdn_translate(n13, rdn_pos(rdn(rdnn(n3), rdnn(n1)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn13)).
% 205.98/199.71 fof(unique_sum, axiom, ! [_334668, _334671, _334674, _334677] : (sum(_334668, _334671, _334674) & sum(_334668, _334671, _334677) => _334674 = _334677), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', unique_sum)).
% 205.98/199.71 fof(add_digit_digit_rdn, axiom, ! [_334936, _334939, _334942, _334945, _334948, _334951, _334954] : (rdn_digit_add(rdnn(_334939), rdnn(_334942), rdnn(_334945), rdnn(_334951)) & rdn_digit_add(rdnn(_334945), rdnn(_334936), rdnn(_334948), rdnn(_334954)) & rdn_digit_add(rdnn(_334951), rdnn(_334954), rdnn(n1), rdnn(n0)) => rdn_add_with_carry(rdnn(_334936), rdnn(_334939), rdnn(_334942), rdn(rdnn(_334948), rdnn(n1)))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', add_digit_digit_rdn)).
% 205.98/199.71 fof(communative_sum_n6_n7, conjecture, ! [_335447, _335450] : (sum(n6, n7, _335447) & sum(n7, n6, _335450) => _335447 = _335450), file('/export/starexec/sandbox/benchmark/theBenchmark.p', communative_sum_n6_n7)).
% 205.98/199.71 fof(rdn7, axiom, rdn_translate(n7, rdn_pos(rdnn(n7))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn7)).
% 205.98/199.71 fof(rdn6, axiom, rdn_translate(n6, rdn_pos(rdnn(n6))), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax', rdn6)).
% 205.98/199.71 fof(rdn_digit_add_n7_n6_n3_n1, axiom, rdn_digit_add(rdnn(n7), rdnn(n6), rdnn(n3), rdnn(n1)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n7_n6_n3_n1)).
% 205.98/199.71 fof(sum_entry_point_pos_pos, axiom, ! [_335943, _335946, _335949, _335952, _335955, _335958] : (rdn_translate(_335943, rdn_pos(_335952)) & rdn_translate(_335946, rdn_pos(_335955)) & rdn_add_with_carry(rdnn(n0), _335952, _335955, _335958) & rdn_translate(_335949, rdn_pos(_335958)) => sum(_335943, _335946, _335949)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', sum_entry_point_pos_pos)).
% 205.98/199.71 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)).
% 205.98/199.71 fof(rdn_digit_add_n6_n7_n3_n1, axiom, rdn_digit_add(rdnn(n6), rdnn(n7), rdnn(n3), rdnn(n1)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n6_n7_n3_n1)).
% 205.98/199.71 fof(rdn_digit_add_n3_n0_n3_n0, axiom, rdn_digit_add(rdnn(n3), rdnn(n0), rdnn(n3), rdnn(n0)), file('/export/starexec/sandbox/benchmark/Axioms/NUM005+2.ax', rdn_digit_add_n3_n0_n3_n0)).
% 205.98/199.71
% 205.98/199.71 cnf(1, plain, [-(rdn_translate(n13, rdn_pos(rdn(rdnn(n3), rdnn(n1)))))], clausify(rdn13)).
% 205.98/199.71 cnf(2, plain, [-(_185068 = _185129), sum(_184943, _185006, _185068), sum(_184943, _185006, _185129)], clausify(unique_sum)).
% 205.98/199.71 cnf(3, plain, [-(rdn_add_with_carry(rdnn(_188507), rdnn(_188628), rdnn(_188748), rdn(rdnn(_188985), rdnn(n1)))), rdn_digit_add(rdnn(_188628), rdnn(_188748), rdnn(_188867), rdnn(_189102)), rdn_digit_add(rdnn(_188867), rdnn(_188507), rdnn(_188985), rdnn(_189218)), rdn_digit_add(rdnn(_189102), rdnn(_189218), rdnn(n1), rdnn(n0))], clausify(add_digit_digit_rdn)).
% 205.98/199.71 cnf(4, plain, [1 ^ [] = 2 ^ []], clausify(communative_sum_n6_n7)).
% 205.98/199.71 cnf(5, plain, [_96877 = _96922, -(_96922 = _96877)], theory(equality)).
% 205.98/199.71 cnf(6, plain, [-(rdn_translate(n7, rdn_pos(rdnn(n7))))], clausify(rdn7)).
% 205.98/199.71 cnf(7, plain, [-(rdn_translate(n6, rdn_pos(rdnn(n6))))], clausify(rdn6)).
% 205.98/199.71 cnf(8, plain, [-(rdn_digit_add(rdnn(n7), rdnn(n6), rdnn(n3), rdnn(n1)))], clausify(rdn_digit_add_n7_n6_n3_n1)).
% 205.98/199.71 cnf(9, plain, [-(sum(n7, n6, 2 ^ []))], clausify(communative_sum_n6_n7)).
% 205.98/199.71 cnf(10, plain, [-(sum(_178519, _178611, _178702)), rdn_translate(_178519, rdn_pos(_178792)), rdn_translate(_178611, rdn_pos(_178881)), rdn_add_with_carry(rdnn(n0), _178792, _178881, _178969), rdn_translate(_178702, rdn_pos(_178969))], clausify(sum_entry_point_pos_pos)).
% 205.98/199.71 cnf(11, plain, [-(rdn_digit_add(rdnn(n1), rdnn(n0), rdnn(n1), rdnn(n0)))], clausify(rdn_digit_add_n1_n0_n1_n0)).
% 205.98/199.71 cnf(12, plain, [-(rdn_digit_add(rdnn(n6), rdnn(n7), rdnn(n3), rdnn(n1)))], clausify(rdn_digit_add_n6_n7_n3_n1)).
% 205.98/199.71 cnf(13, plain, [-(rdn_digit_add(rdnn(n3), rdnn(n0), rdnn(n3), rdnn(n0)))], clausify(rdn_digit_add_n3_n0_n3_n0)).
% 205.98/199.71 cnf(14, plain, [-(_97156 = _97267), _97156 = _97212, _97212 = _97267], theory(equality)).
% 205.98/199.71 cnf(15, plain, [-(sum(n6, n7, 1 ^ []))], clausify(communative_sum_n6_n7)).
% 205.98/199.71
% 205.98/199.71 cnf('1',plain,[1 ^ [] = 2 ^ []],start(4)).
% 205.98/199.71 cnf('1.1',plain,[-(1 ^ [] = 2 ^ []), 1 ^ [] = n13, n13 = 2 ^ []],extension(14,bind([[_97156, _97212, _97267], [1 ^ [], n13, 2 ^ []]]))).
% 205.98/199.71 cnf('1.1.1',plain,[-(1 ^ [] = n13), sum(n6, n7, 1 ^ []), sum(n6, n7, n13)],extension(2,bind([[_185068, _184943, _185006, _185129], [1 ^ [], n6, n7, n13]]))).
% 205.98/199.71 cnf('1.1.1.1',plain,[-(sum(n6, n7, 1 ^ []))],extension(15)).
% 205.98/199.71 cnf('1.1.1.2',plain,[-(sum(n6, n7, n13)), rdn_translate(n6, rdn_pos(rdnn(n6))), rdn_translate(n7, rdn_pos(rdnn(n7))), rdn_add_with_carry(rdnn(n0), rdnn(n6), rdnn(n7), rdn(rdnn(n3), rdnn(n1))), rdn_translate(n13, rdn_pos(rdn(rdnn(n3), rdnn(n1))))],extension(10,bind([[_178519, _178611, _178792, _178881, _178702, _178969], [n6, n7, rdnn(n6), rdnn(n7), n13, rdn(rdnn(n3), rdnn(n1))]]))).
% 205.98/199.71 cnf('1.1.1.2.1',plain,[-(rdn_translate(n6, rdn_pos(rdnn(n6))))],extension(7)).
% 205.98/199.71 cnf('1.1.1.2.2',plain,[-(rdn_translate(n7, rdn_pos(rdnn(n7))))],extension(6)).
% 205.98/199.71 cnf('1.1.1.2.3',plain,[-(rdn_add_with_carry(rdnn(n0), rdnn(n6), rdnn(n7), rdn(rdnn(n3), rdnn(n1)))), rdn_digit_add(rdnn(n6), rdnn(n7), rdnn(n3), rdnn(n1)), rdn_digit_add(rdnn(n3), rdnn(n0), rdnn(n3), rdnn(n0)), rdn_digit_add(rdnn(n1), rdnn(n0), rdnn(n1), rdnn(n0))],extension(3,bind([[_188628, _188748, _188867, _188507, _188985, _189102, _189218], [n6, n7, n3, n0, n3, n1, n0]]))).
% 205.98/199.71 cnf('1.1.1.2.3.1',plain,[-(rdn_digit_add(rdnn(n6), rdnn(n7), rdnn(n3), rdnn(n1)))],extension(12)).
% 205.98/199.71 cnf('1.1.1.2.3.2',plain,[-(rdn_digit_add(rdnn(n3), rdnn(n0), rdnn(n3), rdnn(n0)))],extension(13)).
% 205.98/199.71 cnf('1.1.1.2.3.3',plain,[-(rdn_digit_add(rdnn(n1), rdnn(n0), rdnn(n1), rdnn(n0)))],extension(11)).
% 205.98/199.71 cnf('1.1.1.2.4',plain,[-(rdn_translate(n13, rdn_pos(rdn(rdnn(n3), rdnn(n1)))))],extension(1)).
% 205.98/199.71 cnf('1.1.2',plain,[-(n13 = 2 ^ []), 2 ^ [] = n13],extension(5,bind([[_96877, _96922], [2 ^ [], n13]]))).
% 205.98/199.71 cnf('1.1.2.1',plain,[-(2 ^ [] = n13), sum(n7, n6, 2 ^ []), sum(n7, n6, n13)],extension(2,bind([[_185068, _184943, _185006, _185129], [2 ^ [], n7, n6, n13]]))).
% 205.98/199.71 cnf('1.1.2.1.1',plain,[-(sum(n7, n6, 2 ^ []))],extension(9)).
% 205.98/199.71 cnf('1.1.2.1.2',plain,[-(sum(n7, n6, n13)), rdn_translate(n7, rdn_pos(rdnn(n7))), rdn_translate(n6, rdn_pos(rdnn(n6))), rdn_add_with_carry(rdnn(n0), rdnn(n7), rdnn(n6), rdn(rdnn(n3), rdnn(n1))), rdn_translate(n13, rdn_pos(rdn(rdnn(n3), rdnn(n1))))],extension(10,bind([[_178519, _178611, _178792, _178881, _178702, _178969], [n7, n6, rdnn(n7), rdnn(n6), n13, rdn(rdnn(n3), rdnn(n1))]]))).
% 205.98/199.71 cnf('1.1.2.1.2.1',plain,[-(rdn_translate(n7, rdn_pos(rdnn(n7))))],extension(6)).
% 205.98/199.71 cnf('1.1.2.1.2.2',plain,[-(rdn_translate(n6, rdn_pos(rdnn(n6))))],extension(7)).
% 205.98/199.71 cnf('1.1.2.1.2.3',plain,[-(rdn_add_with_carry(rdnn(n0), rdnn(n7), rdnn(n6), rdn(rdnn(n3), rdnn(n1)))), rdn_digit_add(rdnn(n7), rdnn(n6), rdnn(n3), rdnn(n1)), rdn_digit_add(rdnn(n3), rdnn(n0), rdnn(n3), rdnn(n0)), rdn_digit_add(rdnn(n1), rdnn(n0), rdnn(n1), rdnn(n0))],extension(3,bind([[_188628, _188748, _188867, _188507, _188985, _189102, _189218], [n7, n6, n3, n0, n3, n1, n0]]))).
% 205.98/199.71 cnf('1.1.2.1.2.3.1',plain,[-(rdn_digit_add(rdnn(n7), rdnn(n6), rdnn(n3), rdnn(n1)))],extension(8)).
% 205.98/199.71 cnf('1.1.2.1.2.3.2',plain,[-(rdn_digit_add(rdnn(n3), rdnn(n0), rdnn(n3), rdnn(n0)))],extension(13)).
% 205.98/199.71 cnf('1.1.2.1.2.3.3',plain,[-(rdn_digit_add(rdnn(n1), rdnn(n0), rdnn(n1), rdnn(n0)))],extension(11)).
% 205.98/199.71 cnf('1.1.2.1.2.4',plain,[-(rdn_translate(n13, rdn_pos(rdn(rdnn(n3), rdnn(n1)))))],extension(1)).
% 205.98/199.71 %-----------------------------------------------------
% 205.98/199.71
% 205.98/199.71 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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