TSTP Solution File: NUM845+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n015.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 11:45:09 EDT 2022
% Result : Theorem 0.39s 1.43s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM845+2 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : leancop_casc.sh %s %d
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jul 7 03:36:49 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.39/1.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/1.44
% 0.39/1.44 %-----------------------------------------------------
% 0.39/1.44 fof('qu(ind(267), imp(267))', conjecture, ! [_34255] : (vmul(vsucc(vd411), _34255) = vplus(vmul(vd411, _34255), _34255) => vmul(vsucc(vd411), vsucc(_34255)) = vplus(vmul(vd411, vsucc(_34255)), vsucc(_34255))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(ind(267), imp(267))')).
% 0.39/1.44 fof('ass(cond(conseq(263), 1), 0)', axiom, ! [_34551] : (vmul(vsucc(vd411), _34551) = vplus(vmul(vd411, _34551), _34551) => vplus(vplus(vmul(vd411, _34551), vd411), vsucc(_34551)) = vplus(vmul(vd411, vsucc(_34551)), vsucc(_34551))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 0)')).
% 0.39/1.44 fof('ass(cond(conseq(263), 1), 1)', axiom, ! [_34842] : (vmul(vsucc(vd411), _34842) = vplus(vmul(vd411, _34842), _34842) => vplus(vmul(vd411, _34842), vplus(vd411, vsucc(_34842))) = vplus(vplus(vmul(vd411, _34842), vd411), vsucc(_34842))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 1)')).
% 0.39/1.44 fof('ass(cond(conseq(263), 1), 2)', axiom, ! [_35140] : (vmul(vsucc(vd411), _35140) = vplus(vmul(vd411, _35140), _35140) => vplus(vmul(vd411, _35140), vsucc(vplus(vd411, _35140))) = vplus(vmul(vd411, _35140), vplus(vd411, vsucc(_35140)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 2)')).
% 0.39/1.44 fof('ass(cond(conseq(263), 1), 3)', axiom, ! [_35438] : (vmul(vsucc(vd411), _35438) = vplus(vmul(vd411, _35438), _35438) => vplus(vmul(vd411, _35438), vplus(vsucc(vd411), _35438)) = vplus(vmul(vd411, _35438), vsucc(vplus(vd411, _35438)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 3)')).
% 0.39/1.44 fof('ass(cond(conseq(263), 1), 4)', axiom, ! [_35736] : (vmul(vsucc(vd411), _35736) = vplus(vmul(vd411, _35736), _35736) => vplus(vmul(vd411, _35736), vplus(_35736, vsucc(vd411))) = vplus(vmul(vd411, _35736), vplus(vsucc(vd411), _35736))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 4)')).
% 0.39/1.44 fof('ass(cond(conseq(263), 1), 5)', axiom, ! [_36034] : (vmul(vsucc(vd411), _36034) = vplus(vmul(vd411, _36034), _36034) => vplus(vplus(vmul(vd411, _36034), _36034), vsucc(vd411)) = vplus(vmul(vd411, _36034), vplus(_36034, vsucc(vd411)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 5)')).
% 0.39/1.44 fof('ass(cond(conseq(263), 1), 6)', axiom, ! [_36332] : (vmul(vsucc(vd411), _36332) = vplus(vmul(vd411, _36332), _36332) => vplus(vmul(vsucc(vd411), _36332), vsucc(vd411)) = vplus(vplus(vmul(vd411, _36332), _36332), vsucc(vd411))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'ass(cond(conseq(263), 1), 6)')).
% 0.39/1.44 fof('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))', axiom, ! [_36624, _36627] : (vmul(_36624, vsucc(_36627)) = vplus(vmul(_36624, _36627), _36624) & vmul(_36624, v1) = _36624), file('/export/starexec/sandbox/benchmark/theBenchmark.p', 'qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')).
% 0.39/1.44
% 0.39/1.44 cnf(1, plain, [-(vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ []))], clausify('qu(ind(267), imp(267))')).
% 0.39/1.44 cnf(2, plain, [vmul(vsucc(vd411), vsucc(1 ^ [])) = vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))], clausify('qu(ind(267), imp(267))')).
% 0.39/1.44 cnf(3, plain, [-(_11233 = _11344), _11233 = _11289, _11289 = _11344], theory(equality)).
% 0.39/1.44 cnf(4, plain, [vmul(vsucc(vd411), _13342) = vplus(vmul(vd411, _13342), _13342), -(vplus(vplus(vmul(vd411, _13342), vd411), vsucc(_13342)) = vplus(vmul(vd411, vsucc(_13342)), vsucc(_13342)))], clausify('ass(cond(conseq(263), 1), 0)')).
% 0.39/1.44 cnf(5, plain, [vmul(vsucc(vd411), _13986) = vplus(vmul(vd411, _13986), _13986), -(vplus(vmul(vd411, _13986), vplus(vd411, vsucc(_13986))) = vplus(vplus(vmul(vd411, _13986), vd411), vsucc(_13986)))], clausify('ass(cond(conseq(263), 1), 1)')).
% 0.39/1.44 cnf(6, plain, [vmul(vsucc(vd411), _14652) = vplus(vmul(vd411, _14652), _14652), -(vplus(vmul(vd411, _14652), vsucc(vplus(vd411, _14652))) = vplus(vmul(vd411, _14652), vplus(vd411, vsucc(_14652))))], clausify('ass(cond(conseq(263), 1), 2)')).
% 0.39/1.44 cnf(7, plain, [vmul(vsucc(vd411), _15318) = vplus(vmul(vd411, _15318), _15318), -(vplus(vmul(vd411, _15318), vplus(vsucc(vd411), _15318)) = vplus(vmul(vd411, _15318), vsucc(vplus(vd411, _15318))))], clausify('ass(cond(conseq(263), 1), 3)')).
% 0.39/1.44 cnf(8, plain, [vmul(vsucc(vd411), _15982) = vplus(vmul(vd411, _15982), _15982), -(vplus(vmul(vd411, _15982), vplus(_15982, vsucc(vd411))) = vplus(vmul(vd411, _15982), vplus(vsucc(vd411), _15982)))], clausify('ass(cond(conseq(263), 1), 4)')).
% 0.39/1.44 cnf(9, plain, [vmul(vsucc(vd411), _16644) = vplus(vmul(vd411, _16644), _16644), -(vplus(vplus(vmul(vd411, _16644), _16644), vsucc(vd411)) = vplus(vmul(vd411, _16644), vplus(_16644, vsucc(vd411))))], clausify('ass(cond(conseq(263), 1), 5)')).
% 0.39/1.44 cnf(10, plain, [vmul(vsucc(vd411), _17306) = vplus(vmul(vd411, _17306), _17306), -(vplus(vmul(vsucc(vd411), _17306), vsucc(vd411)) = vplus(vplus(vmul(vd411, _17306), _17306), vsucc(vd411)))], clausify('ass(cond(conseq(263), 1), 6)')).
% 0.39/1.44 cnf(11, plain, [-(vmul(_18780, vsucc(_18839)) = vplus(vmul(_18780, _18839), _18780))], clausify('qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))')).
% 0.39/1.44
% 0.39/1.44 cnf('1',plain,[vmul(vsucc(vd411), vsucc(1 ^ [])) = vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))],start(2)).
% 0.39/1.44 cnf('1.1',plain,[-(vmul(vsucc(vd411), vsucc(1 ^ [])) = vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))), vmul(vsucc(vd411), vsucc(1 ^ [])) = vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ [])), vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ [])) = vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))],extension(3,bind([[_11233, _11289, _11344], [vmul(vsucc(vd411), vsucc(1 ^ [])), vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ [])), vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))]]))).
% 0.39/1.44 cnf('1.1.1',plain,[-(vmul(vsucc(vd411), vsucc(1 ^ [])) = vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ []))), vmul(vsucc(vd411), vsucc(1 ^ [])) = vplus(vplus(vmul(vd411, 1 ^ []), 1 ^ []), vsucc(vd411)), vplus(vplus(vmul(vd411, 1 ^ []), 1 ^ []), vsucc(vd411)) = vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ []))],extension(3,bind([[_11233, _11289, _11344], [vmul(vsucc(vd411), vsucc(1 ^ [])), vplus(vplus(vmul(vd411, 1 ^ []), 1 ^ []), vsucc(vd411)), vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ []))]]))).
% 0.39/1.44 cnf('1.1.1.1',plain,[-(vmul(vsucc(vd411), vsucc(1 ^ [])) = vplus(vplus(vmul(vd411, 1 ^ []), 1 ^ []), vsucc(vd411))), vmul(vsucc(vd411), vsucc(1 ^ [])) = vplus(vmul(vsucc(vd411), 1 ^ []), vsucc(vd411)), vplus(vmul(vsucc(vd411), 1 ^ []), vsucc(vd411)) = vplus(vplus(vmul(vd411, 1 ^ []), 1 ^ []), vsucc(vd411))],extension(3,bind([[_11233, _11289, _11344], [vmul(vsucc(vd411), vsucc(1 ^ [])), vplus(vmul(vsucc(vd411), 1 ^ []), vsucc(vd411)), vplus(vplus(vmul(vd411, 1 ^ []), 1 ^ []), vsucc(vd411))]]))).
% 0.39/1.44 cnf('1.1.1.1.1',plain,[-(vmul(vsucc(vd411), vsucc(1 ^ [])) = vplus(vmul(vsucc(vd411), 1 ^ []), vsucc(vd411)))],extension(11,bind([[_18839, _18780], [1 ^ [], vsucc(vd411)]]))).
% 0.39/1.44 cnf('1.1.1.1.2',plain,[-(vplus(vmul(vsucc(vd411), 1 ^ []), vsucc(vd411)) = vplus(vplus(vmul(vd411, 1 ^ []), 1 ^ []), vsucc(vd411))), vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ [])],extension(10,bind([[_17306], [1 ^ []]]))).
% 0.39/1.44 cnf('1.1.1.1.2.1',plain,[-(vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ []))],extension(1)).
% 0.39/1.44 cnf('1.1.1.2',plain,[-(vplus(vplus(vmul(vd411, 1 ^ []), 1 ^ []), vsucc(vd411)) = vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ []))), vplus(vplus(vmul(vd411, 1 ^ []), 1 ^ []), vsucc(vd411)) = vplus(vmul(vd411, 1 ^ []), vplus(1 ^ [], vsucc(vd411))), vplus(vmul(vd411, 1 ^ []), vplus(1 ^ [], vsucc(vd411))) = vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ []))],extension(3,bind([[_11233, _11289, _11344], [vplus(vplus(vmul(vd411, 1 ^ []), 1 ^ []), vsucc(vd411)), vplus(vmul(vd411, 1 ^ []), vplus(1 ^ [], vsucc(vd411))), vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ []))]]))).
% 0.39/1.44 cnf('1.1.1.2.1',plain,[-(vplus(vplus(vmul(vd411, 1 ^ []), 1 ^ []), vsucc(vd411)) = vplus(vmul(vd411, 1 ^ []), vplus(1 ^ [], vsucc(vd411)))), vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ [])],extension(9,bind([[_16644], [1 ^ []]]))).
% 0.39/1.44 cnf('1.1.1.2.1.1',plain,[-(vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ []))],extension(1)).
% 0.39/1.44 cnf('1.1.1.2.2',plain,[-(vplus(vmul(vd411, 1 ^ []), vplus(1 ^ [], vsucc(vd411))) = vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ []))), vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ [])],extension(8,bind([[_15982], [1 ^ []]]))).
% 0.39/1.44 cnf('1.1.1.2.2.1',plain,[-(vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ []))],extension(1)).
% 0.39/1.44 cnf('1.1.2',plain,[-(vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ [])) = vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))), vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ [])) = vplus(vmul(vd411, 1 ^ []), vplus(vd411, vsucc(1 ^ []))), vplus(vmul(vd411, 1 ^ []), vplus(vd411, vsucc(1 ^ []))) = vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))],extension(3,bind([[_11233, _11289, _11344], [vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ [])), vplus(vmul(vd411, 1 ^ []), vplus(vd411, vsucc(1 ^ []))), vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))]]))).
% 0.39/1.44 cnf('1.1.2.1',plain,[-(vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ [])) = vplus(vmul(vd411, 1 ^ []), vplus(vd411, vsucc(1 ^ [])))), vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ [])) = vplus(vmul(vd411, 1 ^ []), vsucc(vplus(vd411, 1 ^ []))), vplus(vmul(vd411, 1 ^ []), vsucc(vplus(vd411, 1 ^ []))) = vplus(vmul(vd411, 1 ^ []), vplus(vd411, vsucc(1 ^ [])))],extension(3,bind([[_11233, _11289, _11344], [vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ [])), vplus(vmul(vd411, 1 ^ []), vsucc(vplus(vd411, 1 ^ []))), vplus(vmul(vd411, 1 ^ []), vplus(vd411, vsucc(1 ^ [])))]]))).
% 0.39/1.44 cnf('1.1.2.1.1',plain,[-(vplus(vmul(vd411, 1 ^ []), vplus(vsucc(vd411), 1 ^ [])) = vplus(vmul(vd411, 1 ^ []), vsucc(vplus(vd411, 1 ^ [])))), vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ [])],extension(7,bind([[_15318], [1 ^ []]]))).
% 0.39/1.44 cnf('1.1.2.1.1.1',plain,[-(vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ []))],extension(1)).
% 0.39/1.44 cnf('1.1.2.1.2',plain,[-(vplus(vmul(vd411, 1 ^ []), vsucc(vplus(vd411, 1 ^ []))) = vplus(vmul(vd411, 1 ^ []), vplus(vd411, vsucc(1 ^ [])))), vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ [])],extension(6,bind([[_14652], [1 ^ []]]))).
% 0.39/1.44 cnf('1.1.2.1.2.1',plain,[-(vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ []))],extension(1)).
% 0.39/1.44 cnf('1.1.2.2',plain,[-(vplus(vmul(vd411, 1 ^ []), vplus(vd411, vsucc(1 ^ []))) = vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))), vplus(vmul(vd411, 1 ^ []), vplus(vd411, vsucc(1 ^ []))) = vplus(vplus(vmul(vd411, 1 ^ []), vd411), vsucc(1 ^ [])), vplus(vplus(vmul(vd411, 1 ^ []), vd411), vsucc(1 ^ [])) = vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))],extension(3,bind([[_11233, _11289, _11344], [vplus(vmul(vd411, 1 ^ []), vplus(vd411, vsucc(1 ^ []))), vplus(vplus(vmul(vd411, 1 ^ []), vd411), vsucc(1 ^ [])), vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))]]))).
% 0.39/1.44 cnf('1.1.2.2.1',plain,[-(vplus(vmul(vd411, 1 ^ []), vplus(vd411, vsucc(1 ^ []))) = vplus(vplus(vmul(vd411, 1 ^ []), vd411), vsucc(1 ^ []))), vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ [])],extension(5,bind([[_13986], [1 ^ []]]))).
% 0.39/1.44 cnf('1.1.2.2.1.1',plain,[-(vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ []))],extension(1)).
% 0.39/1.44 cnf('1.1.2.2.2',plain,[-(vplus(vplus(vmul(vd411, 1 ^ []), vd411), vsucc(1 ^ [])) = vplus(vmul(vd411, vsucc(1 ^ [])), vsucc(1 ^ []))), vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ [])],extension(4,bind([[_13342], [1 ^ []]]))).
% 0.39/1.44 cnf('1.1.2.2.2.1',plain,[-(vmul(vsucc(vd411), 1 ^ []) = vplus(vmul(vd411, 1 ^ []), 1 ^ []))],extension(1)).
% 0.39/1.44 %-----------------------------------------------------
% 0.39/1.45
% 0.39/1.45 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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