%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV679-1 : TPTP v9.3.1. Released v4.1.0.
% 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 02:49:20 PM UTC 2026
% Result : Unsatisfiable 0.28s 1.06s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 49 ( 26 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 45 ( 21 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 25 ( 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f346,axiom,
! [T_a,V_a] :
( V_a = c_HOL_Ozero__class_Ozero(T_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/sandbox/benchmark/theBenchmark.p') ).
fof(f426,axiom,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f568,axiom,
! [T_a,V_a,V_n,V_m] :
( V_a = c_HOL_Ozero__class_Ozero(T_a)
| ~ c_lessequals(V_m,V_n,tc_nat)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f604,axiom,
! [V_n,V_m] :
( c_lessequals(V_m,V_n,tc_nat)
| c_lessequals(V_n,V_m,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f628,axiom,
~ c_lessequals(v_n,v_m,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f641,negated_conjecture,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f642,negated_conjecture,
( c_lessequals(v_n,v_m,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1216,plain,
! [X0,X1] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| 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)],[f346]) ).
fof(f1340,plain,
( v_a != c_HOL_Ozero__class_Ozero(t_a)
| ~ class_Ring__and__Field_Ofield(t_a) ),
inference(cnf_transformation,[status(thm)],[f426]) ).
fof(f1553,plain,
! [T_a,V_a] :
( V_a = c_HOL_Ozero__class_Ozero(T_a)
| ! [V_n,V_m] :
( ~ c_lessequals(V_m,V_n,tc_nat)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(V_a,T_a),c_HOL_Ominus__class_Ominus(V_n,V_m,tc_nat),T_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(V_a,V_m,T_a),c_Power_Opower__class_Opower(V_a,V_n,T_a),T_a)
| ~ class_Ring__and__Field_Ofield(T_a) ) ),
inference(miniscoping,[status(thm)],[f568]) ).
fof(f1554,plain,
! [X0,X1,X2,X3] :
( X1 = c_HOL_Ozero__class_Ozero(X0)
| ~ c_lessequals(X3,X2,tc_nat)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X2,X3,tc_nat),X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
| ~ class_Ring__and__Field_Ofield(X0) ),
inference(cnf_transformation,[status(thm)],[f1553]) ).
fof(f1607,plain,
! [X0,X1] :
( c_lessequals(X1,X0,tc_nat)
| c_lessequals(X0,X1,tc_nat) ),
inference(cnf_transformation,[status(thm)],[f604]) ).
fof(f1646,plain,
~ c_lessequals(v_n,v_m,tc_nat),
inference(cnf_transformation,[status(thm)],[f628]) ).
fof(f1667,plain,
class_Ring__and__Field_Ofield(t_a),
inference(cnf_transformation,[status(thm)],[f641]) ).
fof(f1668,plain,
( c_lessequals(v_n,v_m,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
inference(cnf_transformation,[status(thm)],[f642]) ).
fof(f1715,plain,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),
inference(backward_subsumption_resolution,[status(thm)],[f1668,f1646]) ).
fof(f1719,plain,
v_a != c_HOL_Ozero__class_Ozero(t_a),
inference(forward_subsumption_resolution,[status(thm)],[f1340,f1667]) ).
fof(f1769,plain,
! [X0] :
( X0 = c_HOL_Ozero__class_Ozero(t_a)
| 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)],[f1216,f1667]) ).
fof(f1801,plain,
( v_a = c_HOL_Ozero__class_Ozero(t_a)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),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),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
inference(paramodulation,[status(thm)],[f1769,f1715]) ).
fof(f1803,plain,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),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),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),
inference(forward_subsumption_resolution,[status(thm)],[f1801,f1719]) ).
fof(f1845,plain,
c_lessequals(v_m,v_n,tc_nat),
inference(resolution,[status(thm)],[f1607,f1646]) ).
fof(f3052,plain,
! [X0,X1,X2] :
( X0 = c_HOL_Ozero__class_Ozero(t_a)
| ~ c_lessequals(X2,X1,tc_nat)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,X2,t_a),c_Power_Opower__class_Opower(X0,X1,t_a),t_a) ),
inference(resolution,[status(thm)],[f1554,f1667]) ).
fof(f3103,plain,
! [X0] :
( X0 = c_HOL_Ozero__class_Ozero(t_a)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X0,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X0,v_m,t_a),c_Power_Opower__class_Opower(X0,v_n,t_a),t_a) ),
inference(resolution,[status(thm)],[f3052,f1845]) ).
fof(f4717,plain,
v_a = c_HOL_Ozero__class_Ozero(t_a),
inference(resolution,[status(thm)],[f3103,f1803]) ).
fof(f4730,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f4717,f1719]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV679-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n020.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 09:19:47 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.50 % Drodi V4.1.1
% 0.28/1.06 % Refutation found
% 0.28/1.06 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.28/1.06 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.82/1.11 % Elapsed time: 0.653082 seconds
% 3.82/1.11 % CPU time: 4.327654 seconds
% 3.82/1.11 % Total memory used: 179.947 MB
% 3.82/1.11 % Net memory used: 177.713 MB
%------------------------------------------------------------------------------