%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA029-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 12:02:32 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA029-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.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 13:20:28 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,negated_conjecture,(
% 0.13/0.40 ~ c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,negated_conjecture,(
% 0.13/0.40 ~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,negated_conjecture,(
% 0.13/0.40 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,axiom,(
% 0.13/0.40 (![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) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f7,axiom,(
% 0.13/0.40 (![T_a,V_y,V_x]: (( ~ class_Orderings_Olinorder(T_a)| c_less(V_y,V_x,T_a)| c_lessequals(V_x,V_y,T_a) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f8,axiom,(
% 0.13/0.40 (![T_b,V_y,V_z,V_x]: (( ~ class_Orderings_Olinorder(T_b)| ~ c_lessequals(V_y,V_z,T_b)| ~ c_lessequals(V_x,V_z,T_b)| c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,axiom,(
% 0.13/0.40 (![T_a,V_y,V_z,V_x]: (( ~ class_Orderings_Oorder(T_a)| ~ c_lessequals(V_y,V_z,T_a)| ~ c_lessequals(V_x,V_y,T_a)| c_lessequals(V_x,V_z,T_a) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f10,axiom,(
% 0.13/0.40 (![T_a,V_x,V_y]: (( ~ class_Orderings_Oorder(T_a)| ~ c_less(V_x,V_y,T_a)| c_lessequals(V_x,V_y,T_a) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f11,axiom,(
% 0.13/0.40 (![T]: (( ~ class_OrderedGroup_Opordered__ab__group__add(T)| class_Orderings_Oorder(T) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f12,axiom,(
% 0.13/0.40 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Olinorder(T) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f13,axiom,(
% 0.13/0.40 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f14,axiom,(
% 0.13/0.40 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Opordered__ab__group__add(T) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 ~c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f16,plain,(
% 0.13/0.40 ~c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f17,plain,(
% 0.13/0.40 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f18,plain,(
% 0.13/0.40 ![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)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.13/0.40 fof(f19,plain,(
% 0.13/0.40 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.40 fof(f22,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_less(X1,X2,X0)|c_lessequals(X2,X1,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f23,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~class_Orderings_Olinorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X2,X0)|c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f24,plain,(
% 0.13/0.40 ![T_a,V_z,V_x]: ((![V_y]: ((~class_Orderings_Oorder(T_a)|~c_lessequals(V_y,V_z,T_a))|~c_lessequals(V_x,V_y,T_a)))|c_lessequals(V_x,V_z,T_a))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.40 fof(f25,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X1,X0)|c_lessequals(X3,X2,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f26,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~class_Orderings_Oorder(X0)|~c_less(X1,X2,X0)|c_lessequals(X1,X2,X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.41 fof(f27,plain,(
% 0.13/0.41 ![X0]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|class_Orderings_Oorder(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.41 fof(f28,plain,(
% 0.13/0.41 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Olinorder(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.41 fof(f29,plain,(
% 0.13/0.41 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.41 fof(f30,plain,(
% 0.13/0.41 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Opordered__ab__group__add(X0))),
% 0.13/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.41 fof(f31,plain,(
% 0.13/0.41 ![X0]: (class_Orderings_Oorder(X0)|~class_Ring__and__Field_Oordered__idom(X0))),
% 0.13/0.41 inference(resolution,[status(thm)],[f27,f30])).
% 0.13/0.41 fof(f32,plain,(
% 0.13/0.41 class_Orderings_Oorder(t_b)),
% 0.13/0.41 inference(resolution,[status(thm)],[f31,f17])).
% 0.13/0.41 fof(f33,plain,(
% 0.13/0.41 class_Orderings_Olinorder(t_b)),
% 0.13/0.41 inference(resolution,[status(thm)],[f28,f17])).
% 0.13/0.41 fof(f34,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|~c_lessequals(X2,X1,t_b)|c_lessequals(c_Orderings_Omax(X2,X0,t_b),X1,t_b))),
% 0.13/0.41 inference(resolution,[status(thm)],[f33,f23])).
% 0.13/0.41 fof(f35,plain,(
% 0.13/0.41 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.13/0.41 inference(resolution,[status(thm)],[f29,f17])).
% 0.13/0.41 fof(f36,plain,(
% 0.13/0.41 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b))),
% 0.13/0.41 inference(resolution,[status(thm)],[f35,f19])).
% 0.13/0.41 fof(f37,plain,(
% 0.13/0.41 ![X0,X1]: (c_less(X0,X1,t_b)|c_lessequals(X1,X0,t_b))),
% 0.13/0.41 inference(resolution,[status(thm)],[f22,f33])).
% 0.13/0.41 fof(f39,plain,(
% 0.13/0.41 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_b)|~c_lessequals(X2,X0,t_b)|c_lessequals(X2,X1,t_b))),
% 0.13/0.41 inference(resolution,[status(thm)],[f25,f32])).
% 0.13/0.41 fof(f43,plain,(
% 0.13/0.41 ![X0,X1]: (~c_lessequals(c_HOL_Oabs(X0,t_b),X1,t_b)|c_lessequals(c_0,X1,t_b))),
% 0.13/0.41 inference(resolution,[status(thm)],[f39,f36])).
% 0.13/0.41 fof(f45,plain,(
% 0.13/0.41 ~c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)|~c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)),
% 0.13/0.41 inference(resolution,[status(thm)],[f34,f16])).
% 0.13/0.41 fof(f47,plain,(
% 0.13/0.41 ~c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f45,f36])).
% 0.13/0.41 fof(f48,plain,(
% 0.13/0.41 ![X0,X1]: (c_lessequals(c_0,X0,t_b)|c_less(X0,c_HOL_Oabs(X1,t_b),t_b))),
% 0.13/0.41 inference(resolution,[status(thm)],[f43,f37])).
% 0.13/0.41 fof(f52,plain,(
% 0.13/0.41 ![X0,X1]: (~c_less(X0,X1,t_b)|c_lessequals(X0,X1,t_b))),
% 0.13/0.41 inference(resolution,[status(thm)],[f26,f32])).
% 0.13/0.41 fof(f55,plain,(
% 0.13/0.41 ![X0,X1]: (c_lessequals(X0,c_HOL_Oabs(X1,t_b),t_b)|c_lessequals(c_0,X0,t_b))),
% 0.13/0.41 inference(resolution,[status(thm)],[f52,f48])).
% 0.13/0.41 fof(f73,plain,(
% 0.13/0.41 c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b)),
% 0.13/0.41 inference(resolution,[status(thm)],[f47,f55])).
% 0.13/0.41 fof(f75,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f73,f15])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.063707 seconds
% 0.13/0.43 % CPU time: 0.287583 seconds
% 0.13/0.43 % Total memory used: 22.092 MB
% 0.13/0.43 % Net memory used: 21.321 MB
%------------------------------------------------------------------------------