%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GEO450+1 : TPTP v9.0.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n031.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 : 300s
% DateTime : Thu Jul 24 01:39:02 PM UTC 2025
% Result : Theorem 60.88s 8.93s
% Output : CNFRefutation 60.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aMATRIXu_SUBu_LZERO,plain,
! [N,M,A5] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),i(s(fun(num,cart(cart(real,N),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),A5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aMATRIXu_SUBu_LZERO) ).
fof(aMATRIXu_SUBu_LZERO_negated,plain,
~ ! [N,M,A5] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),i(s(fun(num,cart(cart(real,N),M)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,N),M),A5))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),A5))),
inference(negate_conjecture,[status(cth)],[aMATRIXu_SUBu_LZERO]) ).
cnf(6853,plain,
s(cart(cart(real,sK4570),sK4571),i(s(fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571)),i(s(fun(cart(cart(real,sK4570),sK4571),fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571))),matrixu_sub),s(cart(cart(real,sK4570),sK4571),i(s(fun(num,cart(cart(real,sK4570),sK4571)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,sK4570),sK4571),sK4572))) != s(cart(cart(real,sK4570),sK4571),i(s(fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571)),matrixu_neg),s(cart(cart(real,sK4570),sK4571),sK4572))),
inference(cnf,[status(esa)],[aMATRIXu_SUBu_LZERO_negated]) ).
cnf(l0,plain,
s(cart(cart(real,sK4570),sK4571),i(s(fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571)),i(s(fun(cart(cart(real,sK4570),sK4571),fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571))),matrixu_sub),s(cart(cart(real,sK4570),sK4571),i(s(fun(num,cart(cart(real,sK4570),sK4571)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,sK4570),sK4571),sK4572))) != s(cart(cart(real,sK4570),sK4571),i(s(fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571)),matrixu_neg),s(cart(cart(real,sK4570),sK4571),sK4572))),
inference(instantiation,[status(thm)],[6853]) ).
fof(aMATRIXu_SUB,plain,
! [N,M,A5,B0] : s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_sub),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),B0))) = s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),i(s(fun(cart(cart(real,N),M),fun(cart(cart(real,N),M),cart(cart(real,N),M))),matrixu_add),s(cart(cart(real,N),M),A5))),s(cart(cart(real,N),M),i(s(fun(cart(cart(real,N),M),cart(cart(real,N),M)),matrixu_neg),s(cart(cart(real,N),M),B0))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aMATRIXu_SUB) ).
cnf(6826,plain,
s(cart(cart(real,X0),X1),i(s(fun(cart(cart(real,X0),X1),cart(cart(real,X0),X1)),i(s(fun(cart(cart(real,X0),X1),fun(cart(cart(real,X0),X1),cart(cart(real,X0),X1))),matrixu_sub),s(cart(cart(real,X0),X1),X2))),s(cart(cart(real,X0),X1),X3))) = s(cart(cart(real,X0),X1),i(s(fun(cart(cart(real,X0),X1),cart(cart(real,X0),X1)),i(s(fun(cart(cart(real,X0),X1),fun(cart(cart(real,X0),X1),cart(cart(real,X0),X1))),matrixu_add),s(cart(cart(real,X0),X1),X2))),s(cart(cart(real,X0),X1),i(s(fun(cart(cart(real,X0),X1),cart(cart(real,X0),X1)),matrixu_neg),s(cart(cart(real,X0),X1),X3))))),
inference(cnf,[status(esa)],[aMATRIXu_SUB]) ).
cnf(l3,plain,
s(cart(cart(real,sK4570),sK4571),i(s(fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571)),i(s(fun(cart(cart(real,sK4570),sK4571),fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571))),matrixu_sub),s(cart(cart(real,sK4570),sK4571),i(s(fun(num,cart(cart(real,sK4570),sK4571)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,sK4570),sK4571),sK4572))) = s(cart(cart(real,sK4570),sK4571),i(s(fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571)),i(s(fun(cart(cart(real,sK4570),sK4571),fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571))),matrixu_add),s(cart(cart(real,sK4570),sK4571),i(s(fun(num,cart(cart(real,sK4570),sK4571)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,sK4570),sK4571),i(s(fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571)),matrixu_neg),s(cart(cart(real,sK4570),sK4571),sK4572))))),
inference(instantiation,[status(thm)],[6826]) ).
fof(aMATRIXu_ADDu_LID,plain,
! [Q114603,Q114604,A5] : s(cart(cart(real,Q114603),Q114604),i(s(fun(cart(cart(real,Q114603),Q114604),cart(cart(real,Q114603),Q114604)),i(s(fun(cart(cart(real,Q114603),Q114604),fun(cart(cart(real,Q114603),Q114604),cart(cart(real,Q114603),Q114604))),matrixu_add),s(cart(cart(real,Q114603),Q114604),i(s(fun(num,cart(cart(real,Q114603),Q114604)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,Q114603),Q114604),A5))) = s(cart(cart(real,Q114603),Q114604),A5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aMATRIXu_ADDu_LID) ).
cnf(6822,plain,
s(cart(cart(real,X0),X1),i(s(fun(cart(cart(real,X0),X1),cart(cart(real,X0),X1)),i(s(fun(cart(cart(real,X0),X1),fun(cart(cart(real,X0),X1),cart(cart(real,X0),X1))),matrixu_add),s(cart(cart(real,X0),X1),i(s(fun(num,cart(cart(real,X0),X1)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,X0),X1),X2))) = s(cart(cart(real,X0),X1),X2),
inference(cnf,[status(esa)],[aMATRIXu_ADDu_LID]) ).
cnf(l2,plain,
s(cart(cart(real,sK4570),sK4571),i(s(fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571)),i(s(fun(cart(cart(real,sK4570),sK4571),fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571))),matrixu_add),s(cart(cart(real,sK4570),sK4571),i(s(fun(num,cart(cart(real,sK4570),sK4571)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))),s(cart(cart(real,sK4570),sK4571),i(s(fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571)),matrixu_neg),s(cart(cart(real,sK4570),sK4571),sK4572))))) = s(cart(cart(real,sK4570),sK4571),i(s(fun(cart(cart(real,sK4570),sK4571),cart(cart(real,sK4570),sK4571)),matrixu_neg),s(cart(cart(real,sK4570),sK4571),sK4572))),
inference(instantiation,[status(thm)],[6822]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO450+1 : TPTP v9.0.0. Released v7.0.0.
% 0.09/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n031.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Sun Jul 20 12:18:03 EDT 2025
% 0.09/0.31 % CPUTime :
% 1.21/1.41 % launching worker at depth: 4
% 1.21/1.41 % launching worker at depth: 5
% 1.21/1.41 % launching worker at depth: 1
% 1.21/1.41 % launching worker at depth: 2
% 1.21/1.41 % launching worker at depth: 3
% 1.21/1.41 % launching worker at depth: 6
% 1.21/1.41 % launching worker at depth: 7
% 1.21/1.41 % launching worker at depth: 8
% 1.26/1.43 % launching worker at depth: 9
% 60.88/8.93 % SZS status Theorem for theBenchmark
% 60.88/8.93 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------