%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA045-2 : 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 12:02:34 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA045-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n003.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 13:27:47 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 0.07/0.38 % Refutation found
% 0.07/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.07/0.38 fof(f1,negated_conjecture,(
% 0.07/0.38 (![V_U]: (~ c_lessequals(c_0,c_times(V_U,c_HOL_Oabs(v_g(v_x(V_U)),t_b),t_b),t_b) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f2,negated_conjecture,(
% 0.07/0.38 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f3,axiom,(
% 0.07/0.38 (![T_a,V_a]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)| c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f4,axiom,(
% 0.07/0.38 (![T_a,V_c]: (( ~ class_Ring__and__Field_Oordered__idom(T_a)| V_c = c_times(c_1,V_c,T_a) ) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f5,axiom,(
% 0.07/0.38 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.07/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.07/0.38 fof(f6,plain,(
% 0.07/0.38 ![X0]: (~c_lessequals(c_0,c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.07/0.38 fof(f7,plain,(
% 0.07/0.38 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.07/0.38 fof(f8,plain,(
% 0.07/0.38 ![T_a]: (~class_OrderedGroup_Olordered__ab__group__abs(T_a)|(![V_a]: c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a)))),
% 0.07/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.07/0.38 fof(f9,plain,(
% 0.07/0.38 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.07/0.38 fof(f10,plain,(
% 0.07/0.38 ![T_a]: (~class_Ring__and__Field_Oordered__idom(T_a)|(![V_c]: V_c=c_times(c_1,V_c,T_a)))),
% 0.07/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.07/0.38 fof(f11,plain,(
% 0.07/0.38 ![X0,X1]: (~class_Ring__and__Field_Oordered__idom(X0)|X1=c_times(c_1,X1,X0))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.07/0.38 fof(f12,plain,(
% 0.07/0.38 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.07/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.07/0.38 fof(f13,plain,(
% 0.07/0.38 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.07/0.38 inference(resolution,[status(thm)],[f12,f7])).
% 0.07/0.38 fof(f14,plain,(
% 0.07/0.38 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b))),
% 0.07/0.38 inference(resolution,[status(thm)],[f13,f9])).
% 0.07/0.38 fof(f15,plain,(
% 0.07/0.38 ![X0]: (X0=c_times(c_1,X0,t_b))),
% 0.07/0.38 inference(resolution,[status(thm)],[f11,f7])).
% 0.07/0.38 fof(f16,plain,(
% 0.07/0.38 ~c_lessequals(c_0,c_HOL_Oabs(v_g(v_x(c_1)),t_b),t_b)),
% 0.07/0.38 inference(paramodulation,[status(thm)],[f15,f6])).
% 0.07/0.38 fof(f17,plain,(
% 0.07/0.38 $false),
% 0.07/0.38 inference(forward_subsumption_resolution,[status(thm)],[f16,f14])).
% 0.07/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.059344 seconds
% 0.13/0.42 % CPU time: 0.172584 seconds
% 0.13/0.42 % Total memory used: 43.961 MB
% 0.13/0.42 % Net memory used: 43.378 MB
%------------------------------------------------------------------------------