%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA028-2 : 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 : n010.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 0.16s 5.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ANA028-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.42 % Computer : n010.cluster.edu
% 0.16/5.42 % Model : x86_64 x86_64
% 0.16/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.42 % Memory : 8046.5625MB
% 0.16/5.42 % OS : Linux 6.8.0-71-generic
% 0.16/5.42 % CPULimit : 300
% 0.16/5.42 % WCLimit : 300
% 0.16/5.42 % DateTime : Mon Sep 21 13:25:17 UTC 2026
% 0.16/5.42 % CPUTime :
% 0.16/5.44 % Drodi V4.1.1
% 0.16/5.50 % Refutation found
% 0.16/5.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/5.50 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.50 fof(f1,axiom,(
% 0.16/5.50 (![T_a,V_y]: (( ~ class_OrderedGroup_Ocomm__monoid__add(T_a)| c_plus(c_0,V_y,T_a) = V_y ) ))),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f2,axiom,(
% 0.16/5.50 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_plus(V_a,c_minus(V_b,V_c,T_a),T_a) = c_minus(c_plus(V_a,V_b,T_a),V_c,T_a) ) ))),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f3,axiom,(
% 0.16/5.50 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_plus(c_minus(V_a,V_b,T_a),V_c,T_a) = c_minus(c_plus(V_a,V_c,T_a),V_b,T_a) ) ))),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f4,axiom,(
% 0.16/5.50 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_minus(V_a,c_minus(V_b,V_c,T_a),T_a) = c_minus(c_plus(V_a,V_c,T_a),V_b,T_a) ) ))),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f5,axiom,(
% 0.16/5.50 (![T_a,V_a,V_c,V_b]: (( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)| ~ c_lessequals(V_a,c_plus(V_c,V_b,T_a),T_a)| c_lessequals(c_minus(V_a,V_b,T_a),V_c,T_a) ) ))),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f7,axiom,(
% 0.16/5.50 (![T_a,V_a]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_minus(V_a,V_a,T_a) = c_0 ) ))),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f8,negated_conjecture,(
% 0.16/5.50 (![V_U]: (c_lessequals(v_g(V_U),v_k(V_U),t_b) ))),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f9,negated_conjecture,(
% 0.16/5.50 ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f10,axiom,(
% 0.16/5.50 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Ocomm__monoid__add(T) ) ))),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f11,axiom,(
% 0.16/5.50 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__group__add(T) ) ))),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f12,axiom,(
% 0.16/5.50 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Opordered__ab__group__add(T) ) ))),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f13,negated_conjecture,(
% 0.16/5.50 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.16/5.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.50 fof(f14,plain,(
% 0.16/5.50 ![T_a]: (~class_OrderedGroup_Ocomm__monoid__add(T_a)|(![V_y]: c_plus(c_0,V_y,T_a)=V_y))),
% 0.16/5.50 inference(miniscoping,[status(thm)],[f1])).
% 0.16/5.50 fof(f15,plain,(
% 0.16/5.50 ![X0,X1]: (~class_OrderedGroup_Ocomm__monoid__add(X0)|c_plus(c_0,X1,X0)=X1)),
% 0.16/5.50 inference(cnf_transformation,[status(thm)],[f14])).
% 0.16/5.50 fof(f16,plain,(
% 0.16/5.50 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b,V_c]: c_plus(V_a,c_minus(V_b,V_c,T_a),T_a)=c_minus(c_plus(V_a,V_b,T_a),V_c,T_a)))),
% 0.16/5.50 inference(miniscoping,[status(thm)],[f2])).
% 0.16/5.50 fof(f17,plain,(
% 0.16/5.50 ![X0,X1,X2,X3]: (~class_OrderedGroup_Oab__group__add(X0)|c_plus(X1,c_minus(X2,X3,X0),X0)=c_minus(c_plus(X1,X2,X0),X3,X0))),
% 0.16/5.50 inference(cnf_transformation,[status(thm)],[f16])).
% 0.16/5.50 fof(f18,plain,(
% 0.16/5.50 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b,V_c]: c_plus(c_minus(V_a,V_b,T_a),V_c,T_a)=c_minus(c_plus(V_a,V_c,T_a),V_b,T_a)))),
% 0.16/5.50 inference(miniscoping,[status(thm)],[f3])).
% 0.16/5.50 fof(f19,plain,(
% 0.16/5.50 ![X0,X1,X2,X3]: (~class_OrderedGroup_Oab__group__add(X0)|c_plus(c_minus(X1,X2,X0),X3,X0)=c_minus(c_plus(X1,X3,X0),X2,X0))),
% 0.16/5.50 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/5.50 fof(f20,plain,(
% 0.16/5.50 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b,V_c]: c_minus(V_a,c_minus(V_b,V_c,T_a),T_a)=c_minus(c_plus(V_a,V_c,T_a),V_b,T_a)))),
% 0.16/5.50 inference(miniscoping,[status(thm)],[f4])).
% 0.16/5.50 fof(f21,plain,(
% 0.16/5.50 ![X0,X1,X2,X3]: (~class_OrderedGroup_Oab__group__add(X0)|c_minus(X1,c_minus(X2,X3,X0),X0)=c_minus(c_plus(X1,X3,X0),X2,X0))),
% 0.16/5.50 inference(cnf_transformation,[status(thm)],[f20])).
% 0.16/5.50 fof(f22,plain,(
% 0.16/5.50 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|~c_lessequals(X1,c_plus(X2,X3,X0),X0)|c_lessequals(c_minus(X1,X3,X0),X2,X0))),
% 0.19/5.51 inference(cnf_transformation,[status(thm)],[f5])).
% 0.19/5.51 fof(f24,plain,(
% 0.19/5.51 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a]: c_minus(V_a,V_a,T_a)=c_0))),
% 0.19/5.51 inference(miniscoping,[status(thm)],[f7])).
% 0.19/5.51 fof(f25,plain,(
% 0.19/5.51 ![X0,X1]: (~class_OrderedGroup_Oab__group__add(X0)|c_minus(X1,X1,X0)=c_0)),
% 0.19/5.51 inference(cnf_transformation,[status(thm)],[f24])).
% 0.19/5.51 fof(f26,plain,(
% 0.19/5.51 ![X0]: (c_lessequals(v_g(X0),v_k(X0),t_b))),
% 0.19/5.51 inference(cnf_transformation,[status(thm)],[f8])).
% 0.19/5.51 fof(f27,plain,(
% 0.19/5.51 ~c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b)),
% 0.19/5.51 inference(cnf_transformation,[status(thm)],[f9])).
% 0.19/5.51 fof(f28,plain,(
% 0.19/5.51 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Ocomm__monoid__add(X0))),
% 0.19/5.51 inference(cnf_transformation,[status(thm)],[f10])).
% 0.19/5.51 fof(f29,plain,(
% 0.19/5.51 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__group__add(X0))),
% 0.19/5.51 inference(cnf_transformation,[status(thm)],[f11])).
% 0.19/5.51 fof(f30,plain,(
% 0.19/5.51 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Opordered__ab__group__add(X0))),
% 0.19/5.51 inference(cnf_transformation,[status(thm)],[f12])).
% 0.19/5.51 fof(f31,plain,(
% 0.19/5.51 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.19/5.51 inference(cnf_transformation,[status(thm)],[f13])).
% 0.19/5.51 fof(f32,plain,(
% 0.19/5.51 class_OrderedGroup_Oab__group__add(t_b)),
% 0.19/5.51 inference(resolution,[status(thm)],[f29,f31])).
% 0.19/5.51 fof(f33,plain,(
% 0.19/5.51 class_OrderedGroup_Ocomm__monoid__add(t_b)),
% 0.19/5.51 inference(resolution,[status(thm)],[f28,f31])).
% 0.19/5.51 fof(f34,plain,(
% 0.19/5.51 class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 0.19/5.51 inference(resolution,[status(thm)],[f30,f31])).
% 0.19/5.51 fof(f35,plain,(
% 0.19/5.51 ![X0]: (c_plus(c_0,X0,t_b)=X0)),
% 0.19/5.51 inference(resolution,[status(thm)],[f15,f33])).
% 0.19/5.51 fof(f36,plain,(
% 0.19/5.51 ![X0]: (c_minus(X0,X0,t_b)=c_0)),
% 0.19/5.51 inference(resolution,[status(thm)],[f25,f32])).
% 0.19/5.51 fof(f37,plain,(
% 0.19/5.51 ![X0,X1,X2]: (c_plus(X0,c_minus(X1,X2,t_b),t_b)=c_minus(c_plus(X0,X1,t_b),X2,t_b))),
% 0.19/5.51 inference(resolution,[status(thm)],[f17,f32])).
% 0.19/5.51 fof(f149,plain,(
% 0.19/5.51 ![X0,X1,X2]: (c_plus(c_minus(X0,X1,t_b),X2,t_b)=c_minus(c_plus(X0,X2,t_b),X1,t_b))),
% 0.19/5.51 inference(resolution,[status(thm)],[f19,f32])).
% 0.19/5.51 fof(f150,plain,(
% 0.19/5.51 ![X0,X1,X2]: (c_plus(c_minus(X0,X1,t_b),X2,t_b)=c_plus(X0,c_minus(X2,X1,t_b),t_b))),
% 0.19/5.51 inference(forward_demodulation,[status(thm)],[f37,f149])).
% 0.19/5.51 fof(f151,plain,(
% 0.19/5.51 ![X0,X1,X2]: (c_minus(X0,c_minus(X1,X2,t_b),t_b)=c_minus(c_plus(X0,X2,t_b),X1,t_b))),
% 0.19/5.51 inference(resolution,[status(thm)],[f21,f32])).
% 0.19/5.51 fof(f152,plain,(
% 0.19/5.51 ![X0,X1,X2]: (c_minus(X0,c_minus(X1,X2,t_b),t_b)=c_plus(X0,c_minus(X2,X1,t_b),t_b))),
% 0.19/5.51 inference(forward_demodulation,[status(thm)],[f37,f151])).
% 0.19/5.51 fof(f153,plain,(
% 0.19/5.51 ![X0,X1,X2]: (~c_lessequals(X0,c_plus(X1,X2,t_b),t_b)|c_lessequals(c_minus(X0,X2,t_b),X1,t_b))),
% 0.19/5.51 inference(resolution,[status(thm)],[f22,f34])).
% 0.19/5.51 fof(f160,plain,(
% 0.19/5.51 ![X0,X1]: (c_plus(c_0,X0,t_b)=c_plus(X1,c_minus(X0,X1,t_b),t_b))),
% 0.19/5.51 inference(paramodulation,[status(thm)],[f36,f150])).
% 0.19/5.51 fof(f182,plain,(
% 0.19/5.51 ![X0,X1]: (X0=c_plus(X1,c_minus(X0,X1,t_b),t_b))),
% 0.19/5.51 inference(forward_demodulation,[status(thm)],[f35,f160])).
% 0.19/5.51 fof(f206,plain,(
% 0.19/5.51 ![X0]: (X0=c_minus(X0,c_0,t_b))),
% 0.19/5.51 inference(paramodulation,[status(thm)],[f35,f182])).
% 0.19/5.51 fof(f209,plain,(
% 0.19/5.51 ![X0]: (X0=c_plus(X0,c_0,t_b))),
% 0.19/5.51 inference(paramodulation,[status(thm)],[f36,f182])).
% 0.19/5.51 fof(f218,plain,(
% 0.19/5.51 ![X0,X1,X2]: (c_plus(X0,c_minus(c_minus(X1,X0,t_b),X2,t_b),t_b)=c_minus(X1,X2,t_b))),
% 0.19/5.51 inference(paramodulation,[status(thm)],[f182,f37])).
% 0.19/5.51 fof(f229,plain,(
% 0.19/5.51 ![X0,X1]: (c_minus(X0,X1,t_b)=c_plus(X0,c_minus(c_0,X1,t_b),t_b))),
% 0.19/5.51 inference(paramodulation,[status(thm)],[f150,f209])).
% 0.19/5.51 fof(f357,plain,(
% 0.19/5.51 ![X0,X1]: (~c_lessequals(X0,X1,t_b)|c_lessequals(c_minus(X0,X1,t_b),c_0,t_b))),
% 0.19/5.51 inference(paramodulation,[status(thm)],[f35,f153])).
% 0.19/5.51 fof(f360,plain,(
% 0.19/5.51 ![X0,X1,X2]: (~c_lessequals(X0,c_minus(X1,X2,t_b),t_b)|c_lessequals(c_minus(X0,c_minus(c_0,X2,t_b),t_b),X1,t_b))),
% 0.19/5.51 inference(paramodulation,[status(thm)],[f229,f153])).
% 0.19/5.51 fof(f362,plain,(
% 0.19/5.51 ![X0,X1,X2]: (~c_lessequals(X0,c_minus(X1,X2,t_b),t_b)|c_lessequals(c_plus(X0,c_minus(X2,c_0,t_b),t_b),X1,t_b))),
% 0.19/5.51 inference(forward_demodulation,[status(thm)],[f152,f360])).
% 0.19/5.52 fof(f363,plain,(
% 0.19/5.52 ![X0,X1,X2]: (~c_lessequals(X0,c_minus(X1,X2,t_b),t_b)|c_lessequals(c_plus(X0,X2,t_b),X1,t_b))),
% 0.19/5.52 inference(forward_demodulation,[status(thm)],[f206,f362])).
% 0.19/5.52 fof(f374,plain,(
% 0.19/5.52 ![X0]: (c_lessequals(c_minus(v_g(X0),v_k(X0),t_b),c_0,t_b))),
% 0.19/5.52 inference(resolution,[status(thm)],[f357,f26])).
% 0.19/5.52 fof(f749,plain,(
% 0.19/5.52 ![X0,X1]: (~c_lessequals(X0,c_0,t_b)|c_lessequals(c_plus(X0,X1,t_b),X1,t_b))),
% 0.19/5.52 inference(paramodulation,[status(thm)],[f36,f363])).
% 0.19/5.52 fof(f751,plain,(
% 0.19/5.52 ![X0,X1]: (c_lessequals(c_plus(c_minus(v_g(X0),v_k(X0),t_b),X1,t_b),X1,t_b))),
% 0.19/5.52 inference(resolution,[status(thm)],[f749,f374])).
% 0.19/5.52 fof(f752,plain,(
% 0.19/5.52 ![X0,X1]: (c_lessequals(c_plus(v_g(X0),c_minus(X1,v_k(X0),t_b),t_b),X1,t_b))),
% 0.19/5.52 inference(forward_demodulation,[status(thm)],[f150,f751])).
% 0.19/5.52 fof(f759,plain,(
% 0.19/5.52 ![X0,X1]: (c_lessequals(c_minus(X0,v_k(X1),t_b),c_minus(X0,v_g(X1),t_b),t_b))),
% 0.19/5.52 inference(paramodulation,[status(thm)],[f218,f752])).
% 0.19/5.52 fof(f784,plain,(
% 0.19/5.52 $false),
% 0.19/5.52 inference(backward_subsumption_resolution,[status(thm)],[f27,f759])).
% 0.19/5.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/5.53 % Elapsed time: 0.087681 seconds
% 0.19/5.53 % CPU time: 0.482234 seconds
% 0.19/5.53 % Total memory used: 50.456 MB
% 0.19/5.53 % Net memory used: 50.216 MB
%------------------------------------------------------------------------------