%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA044-2 : 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 : n026.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 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA044-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:28:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f1,negated_conjecture,(
% 0.14/0.40 (![V_U,V_V]: (c_lessequals(c_0,v_l(V_U,V_V),t_b) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f2,negated_conjecture,(
% 0.14/0.40 (![V_U]: (c_lessequals(c_0,v_h(V_U),t_b) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f3,negated_conjecture,(
% 0.14/0.40 c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b) != c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,negated_conjecture,(
% 0.14/0.40 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,axiom,(
% 0.14/0.40 (![T_a,V_y]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)| ~ c_lessequals(c_0,V_y,T_a)| c_HOL_Oabs(V_y,T_a) = V_y ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,axiom,(
% 0.14/0.40 (![T_a,V_b,V_a]: (( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)| ~ c_lessequals(c_0,V_b,T_a)| ~ c_lessequals(c_0,V_a,T_a)| c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f7,axiom,(
% 0.14/0.40 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__cancel__semiring(T) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f8,axiom,(
% 0.14/0.40 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f9,plain,(
% 0.14/0.40 ![X0,X1]: (c_lessequals(c_0,v_l(X0,X1),t_b))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.40 fof(f10,plain,(
% 0.14/0.40 ![X0]: (c_lessequals(c_0,v_h(X0),t_b))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.40 fof(f11,plain,(
% 0.14/0.40 ~c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)=c_HOL_Oabs(c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b),t_b)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f12,plain,(
% 0.14/0.40 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f13,plain,(
% 0.14/0.40 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|~c_lessequals(c_0,X1,X0)|c_HOL_Oabs(X1,X0)=X1)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.40 fof(f14,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~class_Ring__and__Field_Opordered__cancel__semiring(X0)|~c_lessequals(c_0,X1,X0)|~c_lessequals(c_0,X2,X0)|c_lessequals(c_0,c_times(X2,X1,X0),X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f15,plain,(
% 0.14/0.40 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__cancel__semiring(X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.40 fof(f16,plain,(
% 0.14/0.40 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.40 fof(f17,plain,(
% 0.14/0.40 class_Ring__and__Field_Opordered__cancel__semiring(t_b)),
% 0.14/0.40 inference(resolution,[status(thm)],[f15,f12])).
% 0.14/0.40 fof(f18,plain,(
% 0.14/0.40 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.14/0.40 inference(resolution,[status(thm)],[f16,f12])).
% 0.14/0.40 fof(f19,plain,(
% 0.14/0.40 ![X0]: (~c_lessequals(c_0,X0,t_b)|c_HOL_Oabs(X0,t_b)=X0)),
% 0.14/0.40 inference(resolution,[status(thm)],[f18,f13])).
% 0.14/0.40 fof(f22,plain,(
% 0.14/0.40 ![X0,X1]: (~c_lessequals(c_0,X0,t_b)|~c_lessequals(c_0,X1,t_b)|c_lessequals(c_0,c_times(X1,X0,t_b),t_b))),
% 0.14/0.40 inference(resolution,[status(thm)],[f14,f17])).
% 0.14/0.40 fof(f24,plain,(
% 0.14/0.40 ![X0,X1]: (~c_lessequals(c_0,X0,t_b)|c_lessequals(c_0,c_times(X0,v_h(X1),t_b),t_b))),
% 0.14/0.40 inference(resolution,[status(thm)],[f22,f10])).
% 0.14/0.40 fof(f25,plain,(
% 0.14/0.40 ![X0,X1,X2]: (c_lessequals(c_0,c_times(v_l(X0,X1),v_h(X2),t_b),t_b))),
% 0.14/0.40 inference(resolution,[status(thm)],[f24,f9])).
% 0.14/0.40 fof(f32,plain,(
% 0.14/0.40 ![X0,X1,X2]: (c_HOL_Oabs(c_times(v_l(X0,X1),v_h(X2),t_b),t_b)=c_times(v_l(X0,X1),v_h(X2),t_b))),
% 0.14/0.40 inference(resolution,[status(thm)],[f25,f19])).
% 0.14/0.40 fof(f73,plain,(
% 0.14/0.40 ~c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)=c_times(v_l(v_x,v_xa),v_h(v_k(v_x,v_xa)),t_b)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f32,f11])).
% 0.14/0.40 fof(f74,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f73])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.049378 seconds
% 0.14/0.43 % CPU time: 0.148099 seconds
% 0.14/0.43 % Total memory used: 44.554 MB
% 0.14/0.43 % Net memory used: 44.078 MB
%------------------------------------------------------------------------------