%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV674-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:49:19 PM UTC 2026
% Result : Unsatisfiable 220.16s 28.24s
% Output : CNFRefutation 220.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 16 unt; 0 def)
% Number of atoms : 51 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 23 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f346,axiom,
! [T_a,V_x] :
( c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f366,axiom,
! [T_a,V_a] :
( c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f536,axiom,
! [T_a,V_a,V_n] :
( V_a = c_HOL_Ozero__class_Ozero(T_a)
| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a)
| ~ class_Ring__and__Field_Odivision__ring(T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f571,axiom,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f580,axiom,
! [V_m] : c_HOL_Ominus__class_Ominus(V_m,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = V_m,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f613,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f615,negated_conjecture,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f619,axiom,
! [T] :
( class_Ring__and__Field_Ocomm__semiring__1(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f622,axiom,
! [T] :
( class_Ring__and__Field_Odivision__ring(T)
| ~ class_Ring__and__Field_Ofield(T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1253,plain,
! [T_a] :
( ! [V_x] : c_Power_Opower__class_Opower(V_x,c_HOL_Ozero__class_Ozero(tc_nat),T_a) = c_HOL_Oone__class_Oone(T_a)
| ~ class_Ring__and__Field_Ocomm__semiring__1(T_a) ),
inference(miniscoping,[status(thm)],[f346]) ).
fof(f1254,plain,
! [X0,X1] :
( c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
inference(cnf_transformation,[status(thm)],[f1253]) ).
fof(f1277,plain,
! [T_a] :
( ! [V_a] : c_HOL_Oinverse__class_Oinverse(V_a,T_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(T_a),V_a,T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
inference(miniscoping,[status(thm)],[f366]) ).
fof(f1278,plain,
! [X0,X1] :
( c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f1277]) ).
fof(f1535,plain,
! [T_a,V_a] :
( V_a = c_HOL_Ozero__class_Ozero(T_a)
| ! [V_n] : c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),V_n,T_a)
| ~ class_Ring__and__Field_Odivision__ring(T_a) ),
inference(miniscoping,[status(thm)],[f536]) ).
fof(f1536,plain,
! [X0,X1,X2] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),X2,X0)
| ~ class_Ring__and__Field_Odivision__ring(X0) ),
inference(cnf_transformation,[status(thm)],[f1535]) ).
fof(f1588,plain,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(cnf_transformation,[status(thm)],[f571]) ).
fof(f1604,plain,
! [X0] : c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = X0,
inference(cnf_transformation,[status(thm)],[f580]) ).
fof(f1661,plain,
class_Ring__and__Field_Ofield(t_a),
inference(cnf_transformation,[status(thm)],[f613]) ).
fof(f1663,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_x,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(cnf_transformation,[status(thm)],[f615]) ).
fof(f1667,plain,
! [X0] :
( class_Ring__and__Field_Ocomm__semiring__1(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f1670,plain,
! [X0] :
( class_Ring__and__Field_Odivision__ring(X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f622]) ).
fof(f1749,plain,
v_a != c_HOL_Ozero__class_Ozero(t_a),
inference(forward_subsumption_resolution,[status(thm)],[f1588,f1661]) ).
fof(f1763,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,c_HOL_Ozero__class_Ozero(tc_nat),t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(backward_demodulation,[status(thm)],[f1604,f1663]) ).
fof(f2021,plain,
! [X0] : c_HOL_Oinverse__class_Oinverse(X0,t_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a),
inference(resolution,[status(thm)],[f1278,f1661]) ).
fof(f3023,plain,
class_Ring__and__Field_Ocomm__semiring__1(t_a),
inference(resolution,[status(thm)],[f1667,f1661]) ).
fof(f3253,plain,
class_Ring__and__Field_Odivision__ring(t_a),
inference(resolution,[status(thm)],[f1670,f1661]) ).
fof(f9995,plain,
! [X0] : c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),t_a) = c_HOL_Oone__class_Oone(t_a),
inference(resolution,[status(thm)],[f1254,f3023]) ).
fof(f10003,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(backward_demodulation,[status(thm)],[f9995,f1763]) ).
fof(f10024,plain,
c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),v_x,t_a) != c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(v_a,v_x,t_a),t_a),
inference(forward_demodulation,[status(thm)],[f2021,f10003]) ).
fof(f14465,plain,
! [X0,X1] :
( X0 = c_HOL_Ozero__class_Ozero(t_a)
| c_HOL_Oinverse__class_Oinverse(c_Power_Opower__class_Opower(X0,X1,t_a),t_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),X1,t_a) ),
inference(resolution,[status(thm)],[f1536,f3253]) ).
fof(f14473,plain,
v_a = c_HOL_Ozero__class_Ozero(t_a),
inference(resolution,[status(thm)],[f14465,f10024]) ).
fof(f14497,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f14473,f1749]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV674-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 09:19:33 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.42 % Drodi V4.1.1
% 220.16/28.24 % Refutation found
% 220.16/28.24 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 220.16/28.24 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.09/28.32 % Elapsed time: 27.938251 seconds
% 14.09/28.32 % CPU time: 220.825581 seconds
% 14.09/28.32 % Total memory used: 642.686 MB
% 14.09/28.32 % Net memory used: 584.963 MB
%------------------------------------------------------------------------------