TSTP Solution File: GEO452+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : GEO452+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n008.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 : Sat Jul 16 05:05:02 EDT 2022

% Result   : Theorem 31.14s 30.45s
% Output   : Proof 31.23s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO452+1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n008.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 : Fri Jun 17 15:40:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 9.49/9.34  
% 9.49/9.34  *** ECLiPSe fatal error: Out of swap space in heap allocation
% 10.66/10.46  calling an undefined procedure -(_3307954 = 0 ^ file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aMATRIXu_VECTORu_MUL)) in module eclipse
% 10.66/10.46  abort
% 31.14/30.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.14/30.46  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.14/30.46  
% 31.14/30.46  %-----------------------------------------------------
% 31.14/30.46  fof(aMATRIXu_VECTORu_MUL, conjecture, ! [_2210825, _2210828, _2210831] : (p(s(bool, i(s(fun(fun(cart(real, _2210828), cart(real, _2210825)), bool), linear), s(fun(cart(real, _2210828), cart(real, _2210825)), _2210831)))) => ! [_2210923] : s(cart(real, _2210825), i(s(fun(cart(real, _2210828), cart(real, _2210825)), _2210831), s(cart(real, _2210828), _2210923))) = s(cart(real, _2210825), i(s(fun(cart(real, _2210828), cart(real, _2210825)), i(s(fun(cart(cart(real, _2210828), _2210825), fun(cart(real, _2210828), cart(real, _2210825))), matrixu_vectoru_mul), s(cart(cart(real, _2210828), _2210825), i(s(fun(fun(cart(real, _2210828), cart(real, _2210825)), cart(cart(real, _2210828), _2210825)), matrix), s(fun(cart(real, _2210828), cart(real, _2210825)), _2210831))))), s(cart(real, _2210828), _2210923)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aMATRIXu_VECTORu_MUL)).
% 31.14/30.46  fof(aMATRIXu_WORKS, axiom, ! [_2212363, _2212366, _2212369] : (p(s(bool, i(s(fun(fun(cart(real, _2212366), cart(real, _2212363)), bool), linear), s(fun(cart(real, _2212366), cart(real, _2212363)), _2212369)))) => ! [_2212461] : s(cart(real, _2212363), i(s(fun(cart(real, _2212366), cart(real, _2212363)), i(s(fun(cart(cart(real, _2212366), _2212363), fun(cart(real, _2212366), cart(real, _2212363))), matrixu_vectoru_mul), s(cart(cart(real, _2212366), _2212363), i(s(fun(fun(cart(real, _2212366), cart(real, _2212363)), cart(cart(real, _2212366), _2212363)), matrix), s(fun(cart(real, _2212366), cart(real, _2212363)), _2212369))))), s(cart(real, _2212366), _2212461))) = s(cart(real, _2212363), i(s(fun(cart(real, _2212366), cart(real, _2212363)), _2212369), s(cart(real, _2212366), _2212461)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', aMATRIXu_WORKS)).
% 31.14/30.46  
% 31.14/30.46  cnf(1, plain, [-(p(s(bool, i(s(fun(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), bool), linear), s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ [])))))], clausify(aMATRIXu_VECTORu_MUL)).
% 31.14/30.46  cnf(2, plain, [s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []), s(cart(real, 6135 ^ []), 6137 ^ []))) = s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), i(s(fun(cart(cart(real, 6135 ^ []), 6134 ^ []), fun(cart(real, 6135 ^ []), cart(real, 6134 ^ []))), matrixu_vectoru_mul), s(cart(cart(real, 6135 ^ []), 6134 ^ []), i(s(fun(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), cart(cart(real, 6135 ^ []), 6134 ^ [])), matrix), s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []))))), s(cart(real, 6135 ^ []), 6137 ^ [])))], clausify(aMATRIXu_VECTORu_MUL)).
% 31.14/30.46  cnf(3, plain, [_766251 = _766252, -(_766252 = _766251)], theory(equality)).
% 31.14/30.46  cnf(4, plain, [p(s(bool, i(s(fun(fun(cart(real, _1248855), cart(real, _1248854)), bool), linear), s(fun(cart(real, _1248855), cart(real, _1248854)), _1248856)))), -(s(cart(real, _1248854), i(s(fun(cart(real, _1248855), cart(real, _1248854)), i(s(fun(cart(cart(real, _1248855), _1248854), fun(cart(real, _1248855), cart(real, _1248854))), matrixu_vectoru_mul), s(cart(cart(real, _1248855), _1248854), i(s(fun(fun(cart(real, _1248855), cart(real, _1248854)), cart(cart(real, _1248855), _1248854)), matrix), s(fun(cart(real, _1248855), cart(real, _1248854)), _1248856))))), s(cart(real, _1248855), _1248892))) = s(cart(real, _1248854), i(s(fun(cart(real, _1248855), cart(real, _1248854)), _1248856), s(cart(real, _1248855), _1248892))))], clausify(aMATRIXu_WORKS)).
% 31.14/30.46  
% 31.14/30.46  cnf('1',plain,[-(p(s(bool, i(s(fun(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), bool), linear), s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ [])))))],start(1)).
% 31.14/30.46  cnf('1.1',plain,[p(s(bool, i(s(fun(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), bool), linear), s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ [])))), -(s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), i(s(fun(cart(cart(real, 6135 ^ []), 6134 ^ []), fun(cart(real, 6135 ^ []), cart(real, 6134 ^ []))), matrixu_vectoru_mul), s(cart(cart(real, 6135 ^ []), 6134 ^ []), i(s(fun(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), cart(cart(real, 6135 ^ []), 6134 ^ [])), matrix), s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []))))), s(cart(real, 6135 ^ []), 6137 ^ []))) = s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []), s(cart(real, 6135 ^ []), 6137 ^ []))))],extension(4,bind([[_1248854, _1248856, _1248855, _1248892], [6134 ^ [], 6136 ^ [], 6135 ^ [], 6137 ^ []]]))).
% 31.14/30.46  cnf('1.1.1',plain,[s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), i(s(fun(cart(cart(real, 6135 ^ []), 6134 ^ []), fun(cart(real, 6135 ^ []), cart(real, 6134 ^ []))), matrixu_vectoru_mul), s(cart(cart(real, 6135 ^ []), 6134 ^ []), i(s(fun(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), cart(cart(real, 6135 ^ []), 6134 ^ [])), matrix), s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []))))), s(cart(real, 6135 ^ []), 6137 ^ []))) = s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []), s(cart(real, 6135 ^ []), 6137 ^ []))), -(s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []), s(cart(real, 6135 ^ []), 6137 ^ []))) = s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), i(s(fun(cart(cart(real, 6135 ^ []), 6134 ^ []), fun(cart(real, 6135 ^ []), cart(real, 6134 ^ []))), matrixu_vectoru_mul), s(cart(cart(real, 6135 ^ []), 6134 ^ []), i(s(fun(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), cart(cart(real, 6135 ^ []), 6134 ^ [])), matrix), s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []))))), s(cart(real, 6135 ^ []), 6137 ^ []))))],extension(3,bind([[_766252, _766251], [s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []), s(cart(real, 6135 ^ []), 6137 ^ []))), s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), i(s(fun(cart(cart(real, 6135 ^ []), 6134 ^ []), fun(cart(real, 6135 ^ []), cart(real, 6134 ^ []))), matrixu_vectoru_mul), s(cart(cart(real, 6135 ^ []), 6134 ^ []), i(s(fun(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), cart(cart(real, 6135 ^ []), 6134 ^ [])), matrix), s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []))))), s(cart(real, 6135 ^ []), 6137 ^ [])))]]))).
% 31.14/30.46  cnf('1.1.1.1',plain,[s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []), s(cart(real, 6135 ^ []), 6137 ^ []))) = s(cart(real, 6134 ^ []), i(s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), i(s(fun(cart(cart(real, 6135 ^ []), 6134 ^ []), fun(cart(real, 6135 ^ []), cart(real, 6134 ^ []))), matrixu_vectoru_mul), s(cart(cart(real, 6135 ^ []), 6134 ^ []), i(s(fun(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), cart(cart(real, 6135 ^ []), 6134 ^ [])), matrix), s(fun(cart(real, 6135 ^ []), cart(real, 6134 ^ [])), 6136 ^ []))))), s(cart(real, 6135 ^ []), 6137 ^ [])))],extension(2)).
% 31.14/30.46  %-----------------------------------------------------
% 31.23/30.47  
% 31.23/30.47  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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