%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA007-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:02:29 PM UTC 2026
% Result : Unsatisfiable 44.96s 6.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ANA007-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 13:20:51 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.35/0.64 % Drodi V4.1.1
% 44.96/6.44 % Refutation found
% 44.96/6.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 44.96/6.44 % SZS output start CNFRefutation for theBenchmark
% 44.96/6.44 fof(f1368,axiom,(
% 44.96/6.44 (![T_a,V_c]: (( ~ class_Ring__and__Field_Oordered__idom(T_a)| V_c = c_times(c_1,V_c,T_a) ) ))),
% 44.96/6.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.96/6.44 fof(f1689,axiom,(
% 44.96/6.44 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| c_lessequals(V_x,V_x,T_a) ) ))),
% 44.96/6.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.96/6.44 fof(f1878,axiom,(
% 44.96/6.44 (![T]: (( ~ class_LOrder_Olorder(T)| class_Orderings_Oorder(T) ) ))),
% 44.96/6.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.96/6.44 fof(f2070,axiom,(
% 44.96/6.44 (![T]: (( ~ class_Orderings_Olinorder(T)| class_LOrder_Olorder(T) ) ))),
% 44.96/6.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.96/6.44 fof(f2444,axiom,(
% 44.96/6.44 (![T]: (( ~ class_Ring__and__Field_Oordered__idom(T)| class_Orderings_Olinorder(T) ) ))),
% 44.96/6.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.96/6.44 fof(f2783,negated_conjecture,(
% 44.96/6.44 (![V_U]: (~ c_lessequals(c_HOL_Oabs(v_f(v_x(V_U)),t_b),c_times(V_U,c_HOL_Oabs(v_f(v_x(V_U)),t_b),t_b),t_b) ))),
% 44.96/6.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.96/6.44 fof(f2784,negated_conjecture,(
% 44.96/6.44 class_Ring__and__Field_Oordered__idom(t_b) ),
% 44.96/6.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 44.96/6.44 fof(f4664,plain,(
% 44.96/6.44 ![T_a]: (~class_Ring__and__Field_Oordered__idom(T_a)|(![V_c]: V_c=c_times(c_1,V_c,T_a)))),
% 44.96/6.44 inference(miniscoping,[status(thm)],[f1368])).
% 44.96/6.44 fof(f4665,plain,(
% 44.96/6.44 ![X0,X1]: (~class_Ring__and__Field_Oordered__idom(X0)|X1=c_times(c_1,X1,X0))),
% 44.96/6.44 inference(cnf_transformation,[status(thm)],[f4664])).
% 44.96/6.44 fof(f5106,plain,(
% 44.96/6.44 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: c_lessequals(V_x,V_x,T_a)))),
% 44.96/6.44 inference(miniscoping,[status(thm)],[f1689])).
% 44.96/6.44 fof(f5107,plain,(
% 44.96/6.44 ![X0,X1]: (~class_Orderings_Oorder(X0)|c_lessequals(X1,X1,X0))),
% 44.96/6.44 inference(cnf_transformation,[status(thm)],[f5106])).
% 44.96/6.44 fof(f5314,plain,(
% 44.96/6.44 ![X0]: (~class_LOrder_Olorder(X0)|class_Orderings_Oorder(X0))),
% 44.96/6.44 inference(cnf_transformation,[status(thm)],[f1878])).
% 44.96/6.44 fof(f5506,plain,(
% 44.96/6.44 ![X0]: (~class_Orderings_Olinorder(X0)|class_LOrder_Olorder(X0))),
% 44.96/6.44 inference(cnf_transformation,[status(thm)],[f2070])).
% 44.96/6.44 fof(f5880,plain,(
% 44.96/6.44 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|class_Orderings_Olinorder(X0))),
% 44.96/6.44 inference(cnf_transformation,[status(thm)],[f2444])).
% 44.96/6.44 fof(f6221,plain,(
% 44.96/6.44 ![X0]: (~c_lessequals(c_HOL_Oabs(v_f(v_x(X0)),t_b),c_times(X0,c_HOL_Oabs(v_f(v_x(X0)),t_b),t_b),t_b))),
% 44.96/6.44 inference(cnf_transformation,[status(thm)],[f2783])).
% 44.96/6.44 fof(f6222,plain,(
% 44.96/6.44 class_Ring__and__Field_Oordered__idom(t_b)),
% 44.96/6.44 inference(cnf_transformation,[status(thm)],[f2784])).
% 44.96/6.44 fof(f6237,plain,(
% 44.96/6.44 ![X0]: (X0=c_times(c_1,X0,t_b))),
% 44.96/6.44 inference(resolution,[status(thm)],[f4665,f6222])).
% 44.96/6.44 fof(f6341,plain,(
% 44.96/6.44 class_Orderings_Olinorder(t_b)),
% 44.96/6.44 inference(resolution,[status(thm)],[f5880,f6222])).
% 44.96/6.44 fof(f10181,plain,(
% 44.96/6.44 class_LOrder_Olorder(t_b)),
% 44.96/6.44 inference(resolution,[status(thm)],[f5506,f6341])).
% 44.96/6.44 fof(f10184,plain,(
% 44.96/6.44 class_Orderings_Oorder(t_b)),
% 44.96/6.44 inference(resolution,[status(thm)],[f10181,f5314])).
% 44.96/6.44 fof(f23556,plain,(
% 44.96/6.44 ~c_lessequals(c_HOL_Oabs(v_f(v_x(c_1)),t_b),c_HOL_Oabs(v_f(v_x(c_1)),t_b),t_b)),
% 44.96/6.44 inference(paramodulation,[status(thm)],[f6237,f6221])).
% 44.96/6.44 fof(f32497,plain,(
% 44.96/6.44 ~class_Orderings_Oorder(t_b)),
% 44.96/6.44 inference(resolution,[status(thm)],[f5107,f23556])).
% 44.96/6.44 fof(f32516,plain,(
% 44.96/6.44 $false),
% 44.96/6.44 inference(forward_subsumption_resolution,[status(thm)],[f32497,f10184])).
% 44.96/6.44 % SZS output end CNFRefutation for theBenchmark.p
% 40.05/6.49 % Elapsed time: 6.014603 seconds
% 40.05/6.49 % CPU time: 45.898101 seconds
% 40.05/6.49 % Total memory used: 474.378 MB
% 40.05/6.49 % Net memory used: 449.504 MB
%------------------------------------------------------------------------------