%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA043-2 : 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 12:02:34 PM UTC 2026
% Result : Unsatisfiable 13.96s 2.32s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA043-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n010.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 13:26:10 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 13.96/2.32 % Refutation found
% 13.96/2.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 13.96/2.32 % SZS output start CNFRefutation for theBenchmark
% 13.96/2.32 fof(f1,negated_conjecture,(
% 13.96/2.32 (![V_U]: (c_lessequals(c_HOL_Oabs(v_f(V_U),t_b),c_times(v_c,c_HOL_Oabs(v_h(V_U),t_b),t_b),t_b) ))),
% 13.96/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.96/2.32 fof(f2,negated_conjecture,(
% 13.96/2.32 (![V_U]: (~ c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(V_U),v_xa(V_U)),t_b),c_HOL_Oabs(v_f(v_k(v_x(V_U),v_xa(V_U))),t_b),t_b),c_times(V_U,c_times(c_HOL_Oabs(v_l(v_x(V_U),v_xa(V_U)),t_b),c_HOL_Oabs(v_h(v_k(v_x(V_U),v_xa(V_U))),t_b),t_b),t_b),t_b) ))),
% 13.96/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.96/2.32 fof(f3,negated_conjecture,(
% 13.96/2.32 class_Ring__and__Field_Oordered__idom(t_b) ),
% 13.96/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.96/2.32 fof(f4,axiom,(
% 13.96/2.32 (![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) ) ))),
% 13.96/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.96/2.32 fof(f5,axiom,(
% 13.96/2.32 (![T_a,V_a,V_b,V_c]: (( ~ class_OrderedGroup_Oab__semigroup__mult(T_a)| c_times(V_a,c_times(V_b,V_c,T_a),T_a) = c_times(V_b,c_times(V_a,V_c,T_a),T_a) ) ))),
% 13.96/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.96/2.32 fof(f6,axiom,(
% 13.96/2.32 (![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_c,V_a,T_a),c_times(V_c,V_b,T_a),T_a) ) ))),
% 13.96/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.96/2.32 fof(f7,axiom,(
% 13.96/2.32 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Oab__semigroup__mult(T) ) ))),
% 13.96/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.96/2.32 fof(f8,axiom,(
% 13.96/2.32 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Ring__and__Field_Opordered__semiring(T) ) ))),
% 13.96/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.96/2.32 fof(f9,axiom,(
% 13.96/2.32 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_OrderedGroup_Olordered__ab__group__abs(T) ) ))),
% 13.96/2.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 13.96/2.32 fof(f10,plain,(
% 13.96/2.32 ![X0]: (c_lessequals(c_HOL_Oabs(v_f(X0),t_b),c_times(v_c,c_HOL_Oabs(v_h(X0),t_b),t_b),t_b))),
% 13.96/2.32 inference(cnf_transformation,[status(thm)],[f1])).
% 13.96/2.32 fof(f11,plain,(
% 13.96/2.32 ![X0]: (~c_lessequals(c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_f(v_k(v_x(X0),v_xa(X0))),t_b),t_b),c_times(X0,c_times(c_HOL_Oabs(v_l(v_x(X0),v_xa(X0)),t_b),c_HOL_Oabs(v_h(v_k(v_x(X0),v_xa(X0))),t_b),t_b),t_b),t_b))),
% 13.96/2.32 inference(cnf_transformation,[status(thm)],[f2])).
% 13.96/2.32 fof(f12,plain,(
% 13.96/2.32 class_Ring__and__Field_Oordered__idom(t_b)),
% 13.96/2.32 inference(cnf_transformation,[status(thm)],[f3])).
% 13.96/2.32 fof(f13,plain,(
% 13.96/2.32 ![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)))),
% 13.96/2.32 inference(miniscoping,[status(thm)],[f4])).
% 13.96/2.32 fof(f14,plain,(
% 13.96/2.32 ![X0,X1]: (~class_OrderedGroup_Olordered__ab__group__abs(X0)|c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0))),
% 13.96/2.32 inference(cnf_transformation,[status(thm)],[f13])).
% 13.96/2.32 fof(f15,plain,(
% 13.96/2.32 ![T_a]: (~class_OrderedGroup_Oab__semigroup__mult(T_a)|(![V_a,V_b,V_c]: c_times(V_a,c_times(V_b,V_c,T_a),T_a)=c_times(V_b,c_times(V_a,V_c,T_a),T_a)))),
% 13.96/2.32 inference(miniscoping,[status(thm)],[f5])).
% 13.96/2.32 fof(f16,plain,(
% 13.96/2.32 ![X0,X1,X2,X3]: (~class_OrderedGroup_Oab__semigroup__mult(X0)|c_times(X1,c_times(X2,X3,X0),X0)=c_times(X2,c_times(X1,X3,X0),X0))),
% 13.96/2.32 inference(cnf_transformation,[status(thm)],[f15])).
% 13.96/2.32 fof(f17,plain,(
% 13.96/2.32 ![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(X3,X1,X0),c_times(X3,X2,X0),X0))),
% 13.96/2.32 inference(cnf_transformation,[status(thm)],[f6])).
% 13.96/2.32 fof(f18,plain,(
% 13.96/2.32 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Oab__semigroup__mult(X0))),
% 13.96/2.32 inference(cnf_transformation,[status(thm)],[f7])).
% 13.96/2.32 fof(f19,plain,(
% 13.96/2.32 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Ring__and__Field_Opordered__semiring(X0))),
% 13.96/2.32 inference(cnf_transformation,[status(thm)],[f8])).
% 13.96/2.32 fof(f20,plain,(
% 13.96/2.32 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_OrderedGroup_Olordered__ab__group__abs(X0))),
% 12.89/2.34 inference(cnf_transformation,[status(thm)],[f9])).
% 12.89/2.34 fof(f21,plain,(
% 12.89/2.34 class_OrderedGroup_Oab__semigroup__mult(t_b)),
% 12.89/2.34 inference(resolution,[status(thm)],[f18,f12])).
% 12.89/2.34 fof(f22,plain,(
% 12.89/2.34 class_Ring__and__Field_Opordered__semiring(t_b)),
% 12.89/2.34 inference(resolution,[status(thm)],[f19,f12])).
% 12.89/2.34 fof(f23,plain,(
% 12.89/2.34 ![X0,X1,X2]: (c_times(X0,c_times(X1,X2,t_b),t_b)=c_times(X1,c_times(X0,X2,t_b),t_b))),
% 12.89/2.34 inference(resolution,[status(thm)],[f16,f21])).
% 12.89/2.34 fof(f24,plain,(
% 12.89/2.34 class_OrderedGroup_Olordered__ab__group__abs(t_b)),
% 12.89/2.34 inference(resolution,[status(thm)],[f20,f12])).
% 12.89/2.34 fof(f25,plain,(
% 12.89/2.34 ![X0]: (c_lessequals(c_0,c_HOL_Oabs(X0,t_b),t_b))),
% 12.89/2.34 inference(resolution,[status(thm)],[f24,f14])).
% 12.89/2.34 fof(f35,plain,(
% 12.89/2.34 ![X0,X1]: (~class_Ring__and__Field_Opordered__semiring(t_b)|~c_lessequals(c_0,X0,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_f(X1),t_b),t_b),c_times(X0,c_times(v_c,c_HOL_Oabs(v_h(X1),t_b),t_b),t_b),t_b))),
% 12.89/2.34 inference(resolution,[status(thm)],[f17,f10])).
% 12.89/2.34 fof(f37,plain,(
% 12.89/2.34 ![X0,X1]: (~c_lessequals(c_0,X0,t_b)|c_lessequals(c_times(X0,c_HOL_Oabs(v_f(X1),t_b),t_b),c_times(X0,c_times(v_c,c_HOL_Oabs(v_h(X1),t_b),t_b),t_b),t_b))),
% 12.89/2.34 inference(forward_subsumption_resolution,[status(thm)],[f35,f22])).
% 12.89/2.34 fof(f39,plain,(
% 12.89/2.34 ![X0,X1]: (c_lessequals(c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_f(X1),t_b),t_b),c_times(c_HOL_Oabs(X0,t_b),c_times(v_c,c_HOL_Oabs(v_h(X1),t_b),t_b),t_b),t_b))),
% 12.89/2.34 inference(resolution,[status(thm)],[f37,f25])).
% 12.89/2.34 fof(f211,plain,(
% 12.89/2.34 ![X0,X1]: (c_lessequals(c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_f(X1),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(v_h(X1),t_b),t_b),t_b),t_b))),
% 12.89/2.34 inference(paramodulation,[status(thm)],[f23,f39])).
% 12.89/2.34 fof(f3119,plain,(
% 12.89/2.34 $false),
% 12.89/2.34 inference(resolution,[status(thm)],[f211,f11])).
% 12.89/2.34 % SZS output end CNFRefutation for theBenchmark.p
% 12.89/2.35 % Elapsed time: 1.913238 seconds
% 12.89/2.35 % CPU time: 14.901183 seconds
% 12.89/2.35 % Total memory used: 87.335 MB
% 12.89/2.35 % Net memory used: 86.914 MB
%------------------------------------------------------------------------------