%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW213+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 : Fri Jul 25 05:04:01 PM UTC 2025
% Result : Theorem 2.78s 0.72s
% Output : CNFRefutation 2.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 30 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 17 ( 1 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,plain,
v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(conj_1_negated,plain,
~ v_thesis____,
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(1640,plain,
~ v_thesis____,
inference(cnf,[status(esa)],[conj_1_negated]) ).
cnf(l0,plain,
~ v_thesis____,
inference(instantiation,[status(thm)],[1640]) ).
fof(conj_0,plain,
! [B_q] :
( c_Polynomial_Odegree(tc_Complex_Ocomplex,B_q) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
=> ( ! [B_x] : hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,B_q),B_x) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,B_x))
=> v_thesis____ ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(1639,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X0),sK31(X0)) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sK31(X0)))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,X0) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
| v_thesis____ ),
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l1,plain,
( hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z)),sK31(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z))) != hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sK31(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z))))
| c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z)) != c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)
| v_thesis____ ),
inference(instantiation,[status(thm)],[1639]) ).
fof(fact_degree__offset__poly,plain,
! [V_h,V_p,T_a] :
( class_Rings_Ocomm__semiring__0(T_a)
=> c_Polynomial_Odegree(T_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)) = c_Polynomial_Odegree(T_a,V_p) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_degree__offset__poly) ).
cnf(16,plain,
( ~ class_Rings_Ocomm__semiring__0(X0)
| c_Polynomial_Odegree(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2)) = c_Polynomial_Odegree(X0,X1) ),
inference(cnf,[status(esa)],[fact_degree__offset__poly]) ).
cnf(l4,plain,
( ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)
| c_Polynomial_Odegree(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z)) = c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p) ),
inference(instantiation,[status(thm)],[16]) ).
fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__0) ).
cnf(1557,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(cnf,[status(esa)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]) ).
cnf(l6,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(instantiation,[status(thm)],[1557]) ).
fof(fact_poly__offset__poly,plain,
! [V_x,V_h,V_p,T_a] :
( class_Rings_Ocomm__semiring__0(T_a)
=> hAPP(c_Polynomial_Opoly(T_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(T_a,V_p,V_h)),V_x) = hAPP(c_Polynomial_Opoly(T_a,V_p),c_Groups_Oplus__class_Oplus(T_a,V_h,V_x)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_poly__offset__poly) ).
cnf(2,plain,
( ~ class_Rings_Ocomm__semiring__0(X0)
| hAPP(c_Polynomial_Opoly(X0,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X0,X1,X2)),X3) = hAPP(c_Polynomial_Opoly(X0,X1),c_Groups_Oplus__class_Oplus(X0,X2,X3)) ),
inference(cnf,[status(esa)],[fact_poly__offset__poly]) ).
cnf(l2,plain,
( ~ class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)
| hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z)),sK31(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z))) = hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,sK31(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(tc_Complex_Ocomplex,v_p,v_z)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l3,plain,
class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(instantiation,[status(thm)],[1557]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l6,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SWW213+1 : TPTP v9.0.0. Released v5.2.0.
% 0.02/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jul 22 12:59:49 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.15/0.36 % launching worker at depth: 1
% 0.15/0.36 % launching worker at depth: 2
% 0.15/0.36 % launching worker at depth: 8
% 0.15/0.36 % launching worker at depth: 3
% 0.15/0.36 % launching worker at depth: 4
% 0.15/0.36 % launching worker at depth: 5
% 0.15/0.36 % launching worker at depth: 6
% 0.15/0.36 % launching worker at depth: 7
% 0.15/0.36 % launching worker at depth: 9
% 0.15/0.39 % launching worker at depth: 10
% 2.78/0.72 % SZS status Theorem for theBenchmark
% 2.78/0.72 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------