%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA039-1 : 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 : n007.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 12:02:33 PM UTC 2026
% Result : Unsatisfiable 18.60s 3.03s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA039-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n007.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 13:24:06 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.22/0.54 % Drodi V4.1.1
% 18.60/3.03 % Refutation found
% 18.60/3.03 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.60/3.03 % SZS output start CNFRefutation for theBenchmark
% 18.60/3.03 fof(f1084,axiom,(
% 18.60/3.03 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 18.60/3.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.60/3.03 fof(f1086,axiom,(
% 18.60/3.03 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Oorder(T) ) ))),
% 18.60/3.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.60/3.03 fof(f1093,axiom,(
% 18.60/3.03 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 18.60/3.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.60/3.03 fof(f1411,axiom,(
% 18.60/3.03 (![T_a,V_a]: (( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)| c_lessequals(V_a,c_HOL_Oabs(V_a,T_a),T_a) ) ))),
% 18.60/3.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.60/3.03 fof(f1412,axiom,(
% 18.60/3.03 (![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) ) ))),
% 18.60/3.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.60/3.03 fof(f1413,axiom,(
% 18.60/3.03 (![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) ) ))),
% 18.60/3.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.60/3.03 fof(f1414,axiom,(
% 18.60/3.03 (![T_a,V_a,V_b,V_c]: (( ~ class_Ring__and__Field_Opordered__semiring(T_a)| ~ c_lessequals(V_a,V_b,T_a)| ~ c_lessequals(c_0,V_c,T_a)| c_lessequals(c_times(V_a,V_c,T_a),c_times(V_b,V_c,T_a),T_a) ) ))),
% 18.60/3.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.60/3.03 fof(f1415,negated_conjecture,(
% 18.60/3.03 (![V_U]: (c_lessequals(c_HOL_Oabs(v_h(V_U),t_a),c_times(v_c,c_HOL_Oabs(v_f(V_U),t_a),t_a),t_a) ))),
% 18.60/3.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.60/3.03 fof(f1417,negated_conjecture,(
% 18.60/3.03 ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a) ),
% 18.60/3.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.60/3.03 fof(f1418,negated_conjecture,(
% 18.60/3.03 class_Ring__and__Field_Oordered__idom(t_a) ),
% 18.60/3.03 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 18.60/3.03 fof(f2658,plain,(
% 18.60/3.03 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 18.60/3.03 inference(cnf_transformation,[status(thm)],[f1084])).
% 18.60/3.03 fof(f2660,plain,(
% 18.60/3.03 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Oorder(X0))),
% 18.60/3.03 inference(cnf_transformation,[status(thm)],[f1086])).
% 18.60/3.03 fof(f2667,plain,(
% 18.60/3.03 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 18.60/3.03 inference(cnf_transformation,[status(thm)],[f1093])).
% 18.60/3.03 fof(f2985,plain,(
% 18.60/3.03 ![T_a]: (~class_OrderedGroup_Olordered__ab__group__abs(T_a)|(![V_a]: c_lessequals(V_a,c_HOL_Oabs(V_a,T_a),T_a)))),
% 18.60/3.03 inference(miniscoping,[status(thm)],[f1411])).
% 18.60/3.03 fof(f2986,plain,(
% 18.60/3.03 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(X1,c_HOL_Oabs(X1,X0),X0))),
% 18.60/3.03 inference(cnf_transformation,[status(thm)],[f2985])).
% 18.60/3.03 fof(f2987,plain,(
% 18.60/3.03 ![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)))),
% 18.60/3.03 inference(miniscoping,[status(thm)],[f1412])).
% 18.60/3.03 fof(f2988,plain,(
% 18.60/3.03 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 18.60/3.03 inference(cnf_transformation,[status(thm)],[f2987])).
% 18.60/3.03 fof(f2989,plain,(
% 18.60/3.03 ![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))),
% 18.60/3.03 inference(miniscoping,[status(thm)],[f1413])).
% 18.60/3.03 fof(f2990,plain,(
% 18.60/3.03 ![X0,X1,X2,X3]: (~class_Orderings_Oorder(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(X3,X1,X0)|c_lessequals(X3,X2,X0))),
% 18.60/3.03 inference(cnf_transformation,[status(thm)],[f2989])).
% 18.60/3.03 fof(f2991,plain,(
% 18.60/3.03 ![X0,X1,X2,X3]: (~class_Ring__and__Field_Opordered__semiring(X0)|~c_lessequals(X1,X2,X0)|~c_lessequals(c_0,X3,X0)|c_lessequals(c_times(X1,X3,X0),c_times(X2,X3,X0),X0))),
% 18.60/3.03 inference(cnf_transformation,[status(thm)],[f1414])).
% 18.60/3.03 fof(f2992,plain,(
% 18.60/3.03 ![X0]: (c_lessequals(c_HOL_Oabs(v_h(X0),t_a),c_times(v_c,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a))),
% 0.62/3.12 inference(cnf_transformation,[status(thm)],[f1415])).
% 0.62/3.12 fof(f2994,plain,(
% 0.62/3.12 ~c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)),
% 0.62/3.12 inference(cnf_transformation,[status(thm)],[f1417])).
% 0.62/3.12 fof(f2995,plain,(
% 0.62/3.12 class_Ring__and__Field_Oordered__idom(t_a)),
% 0.62/3.12 inference(cnf_transformation,[status(thm)],[f1418])).
% 0.62/3.12 fof(f3176,plain,(
% 0.62/3.12 class_Ring__and__Field_Opordered__semiring(t_a)),
% 0.62/3.12 inference(resolution,[status(thm)],[f2658,f2995])).
% 0.62/3.12 fof(f3177,plain,(
% 0.62/3.12 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_a)|~c_lessequals(c_0,X2,t_a)|c_lessequals(c_times(X0,X2,t_a),c_times(X1,X2,t_a),t_a))),
% 0.62/3.12 inference(resolution,[status(thm)],[f3176,f2991])).
% 0.62/3.12 fof(f3181,plain,(
% 0.62/3.12 class_Orderings_Oorder(t_a)),
% 0.62/3.12 inference(resolution,[status(thm)],[f2660,f2995])).
% 0.62/3.12 fof(f3277,plain,(
% 0.62/3.12 class_OrderedGroup_Olordered__ab__group__abs(t_a)),
% 0.62/3.12 inference(resolution,[status(thm)],[f2667,f2995])).
% 0.62/3.12 fof(f3278,plain,(
% 0.62/3.12 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_a),t_a))),
% 0.62/3.12 inference(resolution,[status(thm)],[f3277,f2988])).
% 0.62/3.12 fof(f3279,plain,(
% 0.62/3.12 ![X0]: (c_lessequals(X0,c_HOL_Oabs(X0,t_a),t_a))),
% 0.62/3.12 inference(resolution,[status(thm)],[f3277,f2986])).
% 0.62/3.12 fof(f3370,plain,(
% 0.62/3.12 ![X0,X1,X2]: (~c_lessequals(X0,X1,t_a)|~c_lessequals(X2,X0,t_a)|c_lessequals(X2,X1,t_a))),
% 0.62/3.12 inference(resolution,[status(thm)],[f2990,f3181])).
% 0.62/3.12 fof(f3382,plain,(
% 0.62/3.12 ![X0]: (~c_lessequals(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)|~c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),X0,t_a))),
% 0.62/3.12 inference(resolution,[status(thm)],[f3370,f2994])).
% 0.62/3.12 fof(f3383,plain,(
% 0.62/3.12 ![X0]: (~c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)|~c_lessequals(X0,c_HOL_Oabs(v_c,t_a),t_a)|~c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_a),t_a))),
% 0.62/3.12 inference(resolution,[status(thm)],[f3382,f3177])).
% 0.62/3.12 fof(f3386,plain,(
% 0.62/3.12 ![X0]: (~c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)|~c_lessequals(X0,c_HOL_Oabs(v_c,t_a),t_a))),
% 0.62/3.12 inference(forward_subsumption_resolution,[status(thm)],[f3383,f3278])).
% 0.62/3.12 fof(f3387,plain,(
% 0.62/3.12 ~c_lessequals(v_c,c_HOL_Oabs(v_c,t_a),t_a)),
% 0.62/3.12 inference(resolution,[status(thm)],[f3386,f2992])).
% 0.62/3.12 fof(f3389,plain,(
% 0.62/3.12 $false),
% 0.62/3.12 inference(forward_subsumption_resolution,[status(thm)],[f3387,f3279])).
% 0.62/3.12 % SZS output end CNFRefutation for theBenchmark.p
% 0.62/3.12 % Elapsed time: 2.644291 seconds
% 0.62/3.12 % CPU time: 19.828161 seconds
% 0.62/3.12 % Total memory used: 350.634 MB
% 0.62/3.12 % Net memory used: 339.967 MB
%------------------------------------------------------------------------------