%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA030-2 : 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 : n005.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 0.19s 0.69s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ANA030-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n005.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 13:24:48 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.48 % Drodi V4.1.1
% 0.19/0.69 % Refutation found
% 0.19/0.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.69 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.69 fof(f1,negated_conjecture,(
% 0.19/0.69 (![V_U]: (c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(V_U),v_g(V_U),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(V_U),t_b),t_b),t_b) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f2,negated_conjecture,(
% 0.19/0.69 (![V_U]: (~ c_lessequals(v_f(v_x(V_U)),c_plus(v_g(v_x(V_U)),c_times(V_U,c_HOL_Oabs(v_h(v_x(V_U)),t_b),t_b),t_b),t_b) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f3,negated_conjecture,(
% 0.19/0.69 class_Ring__and__Field_Oordered__idom(t_b) ),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f4,axiom,(
% 0.19/0.69 (![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 ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f5,axiom,(
% 0.19/0.69 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_plus(V_a,c_uminus(V_b,T_a),T_a) = c_minus(V_a,V_b,T_a) ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f6,axiom,(
% 0.19/0.69 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Opordered__ab__group__add(T_a)| ~ c_lessequals(c_minus(V_a,V_b,T_a),V_c,T_a)| c_lessequals(V_a,c_plus(V_c,V_b,T_a),T_a) ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f7,axiom,(
% 0.19/0.69 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_minus(V_a,c_uminus(V_b,T_a),T_a) = c_plus(V_a,V_b,T_a) ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f8,axiom,(
% 0.19/0.69 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_uminus(c_plus(V_a,V_b,T_a),T_a) = c_plus(c_uminus(V_a,T_a),c_uminus(V_b,T_a),T_a) ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f9,axiom,(
% 0.19/0.69 (![T_a,V_a,V_b]: (( ~ class_OrderedGroup_Oab__group__add(T_a)| c_uminus(c_minus(V_a,V_b,T_a),T_a) = c_minus(V_b,V_a,T_a) ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f11,axiom,(
% 0.19/0.69 (![T_b,V_y,V_x]: (( ~ class_Orderings_Olinorder(T_b)| c_lessequals(V_y,c_Orderings_Omax(V_x,V_y,T_b),T_b) ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f12,axiom,(
% 0.19/0.69 (![T_b,V_x,V_y,V_z]: (( ~ class_Orderings_Olinorder(T_b)| ~ c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b)| c_lessequals(V_x,V_z,T_b) ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f13,axiom,(
% 0.19/0.69 (![T]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T)| class_OrderedGroup_Opordered__ab__group__add(T) ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f14,axiom,(
% 0.19/0.69 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Olinorder(T) ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f15,axiom,(
% 0.19/0.69 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__group__add(T) ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f16,axiom,(
% 0.19/0.69 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 0.19/0.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.69 fof(f17,plain,(
% 0.19/0.69 ![X0]: (c_lessequals(c_HOL_Oabs(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f1])).
% 0.19/0.69 fof(f18,plain,(
% 0.19/0.69 ![X0]: (~c_lessequals(v_f(v_x(X0)),c_plus(v_g(v_x(X0)),c_times(X0,c_HOL_Oabs(v_h(v_x(X0)),t_b),t_b),t_b),t_b))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f2])).
% 0.19/0.69 fof(f19,plain,(
% 0.19/0.69 class_Ring__and__Field_Oordered__idom(t_b)),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f3])).
% 0.19/0.69 fof(f20,plain,(
% 0.19/0.69 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|~c_lessequals(c_0,X1,X0)|c_HOL_Oabs(X1,X0)=X1)),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f4])).
% 0.19/0.69 fof(f21,plain,(
% 0.19/0.69 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b]: c_plus(V_a,c_uminus(V_b,T_a),T_a)=c_minus(V_a,V_b,T_a)))),
% 0.19/0.69 inference(miniscoping,[status(thm)],[f5])).
% 0.19/0.69 fof(f22,plain,(
% 0.19/0.69 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_plus(X1,c_uminus(X2,X0),X0)=c_minus(X1,X2,X0))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f21])).
% 0.19/0.69 fof(f23,plain,(
% 0.19/0.69 ![X0,X1,X2,X3]: (~class_OrderedGroup_Opordered__ab__group__add(X0)|~c_lessequals(c_minus(X1,X2,X0),X3,X0)|c_lessequals(X1,c_plus(X3,X2,X0),X0))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f6])).
% 0.19/0.69 fof(f24,plain,(
% 0.19/0.69 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b]: c_minus(V_a,c_uminus(V_b,T_a),T_a)=c_plus(V_a,V_b,T_a)))),
% 0.19/0.69 inference(miniscoping,[status(thm)],[f7])).
% 0.19/0.69 fof(f25,plain,(
% 0.19/0.69 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_minus(X1,c_uminus(X2,X0),X0)=c_plus(X1,X2,X0))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f24])).
% 0.19/0.69 fof(f26,plain,(
% 0.19/0.69 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b]: c_uminus(c_plus(V_a,V_b,T_a),T_a)=c_plus(c_uminus(V_a,T_a),c_uminus(V_b,T_a),T_a)))),
% 0.19/0.69 inference(miniscoping,[status(thm)],[f8])).
% 0.19/0.69 fof(f27,plain,(
% 0.19/0.69 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_uminus(c_plus(X1,X2,X0),X0)=c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f26])).
% 0.19/0.69 fof(f28,plain,(
% 0.19/0.69 ![T_a]: (~class_OrderedGroup_Oab__group__add(T_a)|(![V_a,V_b]: c_uminus(c_minus(V_a,V_b,T_a),T_a)=c_minus(V_b,V_a,T_a)))),
% 0.19/0.69 inference(miniscoping,[status(thm)],[f9])).
% 0.19/0.69 fof(f29,plain,(
% 0.19/0.69 ![X0,X1,X2]: (~class_OrderedGroup_Oab__group__add(X0)|c_uminus(c_minus(X1,X2,X0),X0)=c_minus(X2,X1,X0))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f28])).
% 0.19/0.69 fof(f32,plain,(
% 0.19/0.69 ![T_b]: (~class_Orderings_Olinorder(T_b)|(![V_y,V_x]: c_lessequals(V_y,c_Orderings_Omax(V_x,V_y,T_b),T_b)))),
% 0.19/0.69 inference(miniscoping,[status(thm)],[f11])).
% 0.19/0.69 fof(f33,plain,(
% 0.19/0.69 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f32])).
% 0.19/0.69 fof(f34,plain,(
% 0.19/0.69 ![T_b,V_x,V_z]: ((~class_Orderings_Olinorder(T_b)|(![V_y]: ~c_lessequals(c_Orderings_Omax(V_x,V_y,T_b),V_z,T_b)))|c_lessequals(V_x,V_z,T_b))),
% 0.19/0.69 inference(miniscoping,[status(thm)],[f12])).
% 0.19/0.69 fof(f35,plain,(
% 0.19/0.69 ![X0,X1,X2,X3]: (~class_Orderings_Olinorder(X0)|~c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)|c_lessequals(X1,X3,X0))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f34])).
% 0.19/0.69 fof(f36,plain,(
% 0.19/0.69 ![X0]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|class_OrderedGroup_Opordered__ab__group__add(X0))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f13])).
% 0.19/0.69 fof(f37,plain,(
% 0.19/0.69 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Olinorder(X0))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f14])).
% 0.19/0.69 fof(f38,plain,(
% 0.19/0.69 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__group__add(X0))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f15])).
% 0.19/0.69 fof(f39,plain,(
% 0.19/0.69 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 0.19/0.69 inference(cnf_transformation,[status(thm)],[f16])).
% 0.19/0.69 fof(f40,plain,(
% 0.19/0.69 class_OrderedGroup_Oab__group__add(t_b)),
% 0.19/0.69 inference(resolution,[status(thm)],[f38,f19])).
% 0.19/0.69 fof(f41,plain,(
% 0.19/0.69 ![X0,X1]: (c_plus(X0,c_uminus(X1,t_b),t_b)=c_minus(X0,X1,t_b))),
% 0.19/0.69 inference(resolution,[status(thm)],[f22,f40])).
% 0.19/0.69 fof(f42,plain,(
% 0.19/0.69 ![X0,X1]: (c_minus(X0,c_uminus(X1,t_b),t_b)=c_plus(X0,X1,t_b))),
% 0.19/0.69 inference(resolution,[status(thm)],[f25,f40])).
% 0.19/0.69 fof(f43,plain,(
% 0.19/0.69 ![X0,X1]: (c_uminus(c_minus(X0,X1,t_b),t_b)=c_minus(X1,X0,t_b))),
% 0.19/0.69 inference(resolution,[status(thm)],[f29,f40])).
% 0.19/0.69 fof(f44,plain,(
% 0.19/0.69 ![X0,X1]: (c_uminus(c_plus(X0,X1,t_b),t_b)=c_minus(c_uminus(X1,t_b),X0,t_b))),
% 0.19/0.69 inference(paramodulation,[status(thm)],[f42,f43])).
% 0.19/0.69 fof(f71,plain,(
% 0.19/0.69 ![X0,X1]: (c_uminus(c_plus(X0,X1,t_b),t_b)=c_plus(c_uminus(X0,t_b),c_uminus(X1,t_b),t_b))),
% 0.19/0.69 inference(resolution,[status(thm)],[f27,f40])).
% 0.19/0.69 fof(f72,plain,(
% 0.19/0.69 ![X0,X1]: (c_minus(c_uminus(X0,t_b),X1,t_b)=c_plus(c_uminus(X1,t_b),c_uminus(X0,t_b),t_b))),
% 0.19/0.69 inference(forward_demodulation,[status(thm)],[f44,f71])).
% 0.19/0.69 fof(f73,plain,(
% 0.19/0.69 ![X0,X1]: (c_minus(c_uminus(X0,t_b),X1,t_b)=c_minus(c_uminus(X1,t_b),X0,t_b))),
% 0.19/0.69 inference(forward_demodulation,[status(thm)],[f41,f72])).
% 0.19/0.69 fof(f88,plain,(
% 0.19/0.70 ![X0,X1]: (c_uminus(c_minus(c_uminus(X0,t_b),X1,t_b),t_b)=c_minus(X0,c_uminus(X1,t_b),t_b))),
% 0.19/0.70 inference(paramodulation,[status(thm)],[f73,f43])).
% 0.19/0.70 fof(f98,plain,(
% 0.19/0.70 ![X0,X1]: (c_minus(X0,c_uminus(X1,t_b),t_b)=c_minus(X1,c_uminus(X0,t_b),t_b))),
% 0.19/0.70 inference(forward_demodulation,[status(thm)],[f43,f88])).
% 0.19/0.70 fof(f99,plain,(
% 0.19/0.70 ![X0,X1]: (c_plus(X0,X1,t_b)=c_minus(X1,c_uminus(X0,t_b),t_b))),
% 0.19/0.70 inference(forward_demodulation,[status(thm)],[f42,f98])).
% 0.19/0.70 fof(f122,plain,(
% 0.19/0.70 class_Orderings_Olinorder(t_b)),
% 0.19/0.70 inference(resolution,[status(thm)],[f37,f19])).
% 0.19/0.70 fof(f123,plain,(
% 0.19/0.70 ![X0,X1,X2]: (~c_lessequals(c_Orderings_Omax(X0,X1,t_b),X2,t_b)|c_lessequals(X0,X2,t_b))),
% 0.19/0.70 inference(resolution,[status(thm)],[f122,f35])).
% 0.19/0.70 fof(f124,plain,(
% 0.19/0.70 ![X0,X1]: (c_lessequals(X0,c_Orderings_Omax(X1,X0,t_b),t_b))),
% 0.19/0.70 inference(resolution,[status(thm)],[f122,f33])).
% 0.19/0.70 fof(f125,plain,(
% 0.19/0.70 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 0.19/0.70 inference(resolution,[status(thm)],[f39,f19])).
% 0.19/0.70 fof(f126,plain,(
% 0.19/0.70 class_OrderedGroup_Opordered__ab__group__add(t_b)),
% 0.19/0.70 inference(resolution,[status(thm)],[f125,f36])).
% 0.19/0.70 fof(f127,plain,(
% 0.19/0.70 ![X0]: (~c_lessequals(c_0,X0,t_b)|c_HOL_Oabs(X0,t_b)=X0)),
% 0.19/0.70 inference(resolution,[status(thm)],[f125,f20])).
% 0.19/0.70 fof(f141,plain,(
% 0.19/0.70 ![X0]: (c_HOL_Oabs(c_Orderings_Omax(X0,c_0,t_b),t_b)=c_Orderings_Omax(X0,c_0,t_b))),
% 0.19/0.70 inference(resolution,[status(thm)],[f127,f124])).
% 0.19/0.70 fof(f154,plain,(
% 0.19/0.70 ![X0,X1]: (c_plus(X0,X1,t_b)=c_plus(X1,X0,t_b))),
% 0.19/0.70 inference(paramodulation,[status(thm)],[f42,f99])).
% 0.19/0.70 fof(f185,plain,(
% 0.19/0.70 ![X0,X1,X2]: (~c_lessequals(c_minus(X0,X1,t_b),X2,t_b)|c_lessequals(X0,c_plus(X2,X1,t_b),t_b))),
% 0.19/0.70 inference(resolution,[status(thm)],[f23,f126])).
% 0.19/0.70 fof(f216,plain,(
% 0.19/0.70 ![X0]: (c_lessequals(c_Orderings_Omax(c_minus(v_f(X0),v_g(X0),t_b),c_0,t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b))),
% 0.19/0.70 inference(backward_demodulation,[status(thm)],[f141,f17])).
% 0.19/0.70 fof(f313,plain,(
% 0.19/0.70 ![X0]: (c_lessequals(c_minus(v_f(X0),v_g(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b))),
% 0.19/0.70 inference(resolution,[status(thm)],[f216,f123])).
% 0.19/0.70 fof(f653,plain,(
% 0.19/0.70 ![X0]: (c_lessequals(v_f(X0),c_plus(c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),v_g(X0),t_b),t_b))),
% 0.19/0.70 inference(resolution,[status(thm)],[f313,f185])).
% 0.19/0.70 fof(f654,plain,(
% 0.19/0.70 ![X0]: (c_lessequals(v_f(X0),c_plus(v_g(X0),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b),t_b))),
% 0.19/0.70 inference(forward_demodulation,[status(thm)],[f154,f653])).
% 0.19/0.70 fof(f2273,plain,(
% 0.19/0.70 $false),
% 0.19/0.70 inference(resolution,[status(thm)],[f654,f18])).
% 0.19/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 0.28/0.73 % Elapsed time: 0.253256 seconds
% 0.28/0.73 % CPU time: 1.722680 seconds
% 0.28/0.73 % Total memory used: 65.260 MB
% 0.28/0.73 % Net memory used: 64.286 MB
%------------------------------------------------------------------------------