%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA024-2 : 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 : 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 12:02:31 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA024-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 13:25:19 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| V_a = c_plus(c_minus(V_a,V_b,T_a),V_b,T_a) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,axiom,(
% 0.12/0.38 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)| ~ c_lessequals(c_plus(V_a,V_b,T_a),V_c,T_a)| c_lessequals(V_a,c_minus(V_c,V_b,T_a),T_a) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,negated_conjecture,(
% 0.12/0.38 (![V_U]: (c_lessequals(v_k(V_U),v_f(V_U),t_b) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,negated_conjecture,(
% 0.12/0.38 ~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f5,axiom,(
% 0.12/0.38 (![T]: (( ~ class_OrderedGroup_Opordered__ab__group__add(T)| class_OrderedGroup_Oab__group__add(T) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f6,axiom,(
% 0.12/0.38 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Opordered__ab__group__add(T) ) ))),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f7,negated_conjecture,(
% 0.12/0.38 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b]: V_a=c_plus(c_minus(V_a,V_b,T_a),V_b,T_a)))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|X1=c_plus(c_minus(X1,X2,X0),X2,X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.38 fof(f10,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|~c_lessequals(c_plus(X1,X2,X0),X3,X0)|c_lessequals(X1,c_minus(X3,X2,X0),X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f11,plain,(
% 0.12/0.38 ![X0]: (c_lessequals(v_k(X0),v_f(X0),t_b))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 ~c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f13,plain,(
% 0.12/0.38 ![X0]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|class_OrderedGroup_Oab__group__add(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.38 fof(f14,plain,(
% 0.12/0.38 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Opordered__ab__group__add(X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|X1=c_plus(c_minus(X1,X2,X0),X2,X0))),
% 0.12/0.38 inference(resolution,[status(thm)],[f13,f9])).
% 0.12/0.38 fof(f17,plain,(
% 0.12/0.38 ![X0,X1,X2]: (X0=c_plus(c_minus(X0,X1,X2),X1,X2)|~class_Ring__and__Field_Oordered__idom(X2))),
% 0.12/0.38 inference(resolution,[status(thm)],[f16,f14])).
% 0.12/0.38 fof(f18,plain,(
% 0.12/0.38 ![X0,X1]: (X0=c_plus(c_minus(X0,X1,t_b),X1,t_b))),
% 0.12/0.38 inference(resolution,[status(thm)],[f17,f15])).
% 0.12/0.38 fof(f19,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~class_OrderedGroup_Opordered__ab__group__add(t_b)|~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X2,t_b),c_minus(X1,X2,t_b),t_b))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f18,f10])).
% 0.12/0.38 fof(f20,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X2,t_b),c_minus(X1,X2,t_b),t_b)|~class_Ring__and__Field_Oordered__idom(t_b))),
% 0.12/0.38 inference(resolution,[status(thm)],[f19,f14])).
% 0.12/0.38 fof(f21,plain,(
% 0.12/0.38 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X2,t_b),c_minus(X1,X2,t_b),t_b))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f20,f15])).
% 0.12/0.38 fof(f22,plain,(
% 0.12/0.38 ~c_lessequals(v_k(v_x),v_f(v_x),t_b)),
% 0.12/0.38 inference(resolution,[status(thm)],[f21,f12])).
% 0.12/0.38 fof(f23,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f22,f11])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.045885 seconds
% 0.12/0.40 % CPU time: 0.134576 seconds
% 0.12/0.40 % Total memory used: 44.069 MB
% 0.12/0.40 % Net memory used: 43.521 MB
%------------------------------------------------------------------------------