%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA009-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 12:02:29 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA009-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/10.38 % Computer : n003.cluster.edu
% 0.08/10.38 % Model : x86_64 x86_64
% 0.08/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.38 % Memory : 8046.5625MB
% 0.08/10.38 % OS : Linux 6.8.0-71-generic
% 0.08/10.38 % CPULimit : 300
% 0.08/10.38 % WCLimit : 300
% 0.08/10.38 % DateTime : Mon Sep 21 13:24:42 UTC 2026
% 0.08/10.38 % CPUTime :
% 0.08/10.39 % Drodi V4.1.1
% 0.14/10.42 % Refutation found
% 0.14/10.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.42 fof(f1,axiom,(
% 0.14/10.42 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)| ~ c_lessequals(V_a,V_b,T_a)| c_lessequals(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a) ) ))),
% 0.14/10.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f2,axiom,(
% 0.14/10.42 (![T_a,V_a]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_plus(V_a,c_uminus(V_a,T_a),T_a) = c_0 ) ))),
% 0.14/10.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f3,negated_conjecture,(
% 0.14/10.42 (![V_U]: (c_lessequals(v_lb(V_U),v_f(V_U),t_b) ))),
% 0.14/10.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f4,negated_conjecture,(
% 0.14/10.42 ~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b) ),
% 0.14/10.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f5,axiom,(
% 0.14/10.42 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T) ) ))),
% 0.14/10.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f6,axiom,(
% 0.14/10.42 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__group__add(T) ) ))),
% 0.14/10.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f7,negated_conjecture,(
% 0.14/10.42 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.14/10.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/10.42 fof(f8,plain,(
% 0.14/10.42 ![T_a,V_a,V_b]: ((~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(T_a)|~c_lessequals(V_a,V_b,T_a))|(![V_c]: c_lessequals(c_plus(V_a,V_c,T_a),c_plus(V_b,V_c,T_a),T_a)))),
% 0.14/10.42 inference(miniscoping,[status(thm)],[f1])).
% 0.14/10.42 fof(f9,plain,(
% 0.14/10.42 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)|~c_lessequals(X1,X2,X0)|c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/10.42 fof(f10,plain,(
% 0.14/10.42 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a]: c_plus(V_a,c_uminus(V_a,T_a),T_a)=c_0))),
% 0.14/10.42 inference(miniscoping,[status(thm)],[f2])).
% 0.14/10.42 fof(f11,plain,(
% 0.14/10.42 ![X0,X1]: (~class_OrderedGroup_Oab__group__add(X0)|c_plus(X1,c_uminus(X1,X0),X0)=c_0)),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/10.42 fof(f12,plain,(
% 0.14/10.42 ![X0]: (c_lessequals(v_lb(X0),v_f(X0),t_b))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/10.42 fof(f13,plain,(
% 0.14/10.42 ~c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b)),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/10.42 fof(f14,plain,(
% 0.14/10.42 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/10.42 fof(f15,plain,(
% 0.14/10.42 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__group__add(X0))),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/10.42 fof(f16,plain,(
% 0.14/10.42 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.14/10.42 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/10.42 fof(f17,plain,(
% 0.14/10.42 class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)),
% 0.14/10.42 inference(resolution,[status(thm)],[f14,f16])).
% 0.14/10.42 fof(f18,plain,(
% 0.14/10.42 class_OrderedGroup_Oab__group__add(t_b)),
% 0.14/10.42 inference(resolution,[status(thm)],[f15,f16])).
% 0.14/10.42 fof(f19,plain,(
% 0.14/10.42 ![X0]: (c_plus(X0,c_uminus(X0,t_b),t_b)=c_0)),
% 0.14/10.42 inference(resolution,[status(thm)],[f18,f11])).
% 0.14/10.42 fof(f20,plain,(
% 0.14/10.42 ![X0,X1]: (~class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)|c_lessequals(c_plus(v_lb(X0),X1,t_b),c_plus(v_f(X0),X1,t_b),t_b))),
% 0.14/10.42 inference(resolution,[status(thm)],[f9,f12])).
% 0.14/10.42 fof(f21,plain,(
% 0.14/10.42 ![X0,X1]: (c_lessequals(c_plus(v_lb(X0),X1,t_b),c_plus(v_f(X0),X1,t_b),t_b))),
% 0.14/10.42 inference(forward_subsumption_resolution,[status(thm)],[f20,f17])).
% 0.14/10.42 fof(f23,plain,(
% 0.14/10.42 ![X0]: (c_lessequals(c_0,c_plus(v_f(X0),c_uminus(v_lb(X0),t_b),t_b),t_b))),
% 0.14/10.42 inference(paramodulation,[status(thm)],[f19,f21])).
% 0.14/10.42 fof(f27,plain,(
% 0.14/10.42 $false),
% 0.14/10.42 inference(backward_subsumption_resolution,[status(thm)],[f13,f23])).
% 0.14/10.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.45 % Elapsed time: 0.058210 seconds
% 0.14/10.45 % CPU time: 0.140577 seconds
% 0.14/10.45 % Total memory used: 30.385 MB
% 0.14/10.45 % Net memory used: 30.099 MB
%------------------------------------------------------------------------------