%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW277+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:07:33 PM UTC 2026
% Result : Theorem 107.72s 14.39s
% Output : CNFRefutation 107.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 11 unt; 0 def)
% Number of atoms : 37 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 11 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 19 ( 18 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_s____)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f921,axiom,
! [V_b,V_a,T_a] :
( class_Divides_Osemiring__div(T_a)
=> ( hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Odiv(T_a,V_b,V_a)) = V_b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1140,axiom,
class_Fields_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1177,axiom,
! [T_1] :
( class_Fields_Ofield(T_1)
=> class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1208,hypothesis,
( ? [B_u] : v_s____ = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),B_u)
=> v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1209,conjecture,
v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1210,negated_conjecture,
~ v_thesis____,
inference(negated_conjecture,[status(cth)],[f1209]) ).
fof(f1217,plain,
hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_s____)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f4154,plain,
! [V_b,V_a,T_a] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Odiv(T_a,V_b,V_a)) = V_b
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b))
| ~ class_Divides_Osemiring__div(T_a) ),
inference(pre_NNF_transformation,[status(thm)],[f921]) ).
fof(f4155,plain,
! [T_a] :
( ! [V_b,V_a] :
( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Odiv(T_a,V_b,V_a)) = V_b
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(T_a),V_a),V_b)) )
| ~ class_Divides_Osemiring__div(T_a) ),
inference(miniscoping,[status(thm)],[f4154]) ).
fof(f4156,plain,
! [X0,X1,X2] :
( ~ class_Divides_Osemiring__div(X0)
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(X0),X1),X2))
| hAPP(hAPP(c_Groups_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X0,X2,X1)) = X2 ),
inference(cnf_transformation,[status(thm)],[f4155]) ).
fof(f4603,plain,
class_Fields_Ofield(tc_Complex_Ocomplex),
inference(cnf_transformation,[status(thm)],[f1140]) ).
fof(f4670,plain,
! [T_1] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(T_1))
| ~ class_Fields_Ofield(T_1) ),
inference(pre_NNF_transformation,[status(thm)],[f1177]) ).
fof(f4671,plain,
! [X0] :
( class_Divides_Osemiring__div(tc_Polynomial_Opoly(X0))
| ~ class_Fields_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f4670]) ).
fof(f4730,plain,
( v_thesis____
| ! [B_u] : v_s____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),B_u) ),
inference(pre_NNF_transformation,[status(thm)],[f1208]) ).
fof(f4731,plain,
! [X0] :
( v_thesis____
| v_s____ != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0) ),
inference(cnf_transformation,[status(thm)],[f4730]) ).
fof(f4732,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f1210]) ).
fof(f4949,plain,
! [X0] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),X0) != v_s____,
inference(forward_subsumption_resolution,[status(thm)],[f4731,f4732]) ).
fof(f15588,plain,
( ~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ hBOOL(hAPP(hAPP(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_a____),c_Polynomial_OpCons(tc_Complex_Ocomplex,c_Groups_Oone__class_Oone(tc_Complex_Ocomplex),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))),v_s____)) ),
inference(resolution,[status(thm)],[f4156,f4949]) ).
fof(f15605,plain,
~ class_Divides_Osemiring__div(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(forward_subsumption_resolution,[status(thm)],[f15588,f1217]) ).
fof(f15646,plain,
~ class_Fields_Ofield(tc_Complex_Ocomplex),
inference(resolution,[status(thm)],[f15605,f4671]) ).
fof(f15647,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f15646,f4603]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW277+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n020.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 09:46:32 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.28/0.60 % Drodi V4.1.1
% 107.72/14.39 % Refutation found
% 107.72/14.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 107.72/14.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.84/14.60 % Elapsed time: 14.111696 seconds
% 7.84/14.60 % CPU time: 109.768486 seconds
% 7.84/14.60 % Total memory used: 938.693 MB
% 7.84/14.60 % Net memory used: 891.851 MB
%------------------------------------------------------------------------------