%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA045-1 : 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 : n002.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 3.94s 1.16s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA045-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n002.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 13:29:02 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.24/0.48 % Drodi V4.1.1
% 3.94/1.16 % Refutation found
% 3.94/1.16 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.94/1.16 % SZS output start CNFRefutation for theBenchmark
% 3.94/1.16 fof(f268,axiom,(
% 3.94/1.16 c_IntDef_Oint(c_0) = c_0 ),
% 3.94/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/1.16 fof(f271,axiom,(
% 3.94/1.16 c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 3.94/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/1.16 fof(f290,axiom,(
% 3.94/1.16 (![T_a]: (( ~ class_Ring__and__Field_Oordered__idom(T_a)| c_0 = c_IntDef_Oof__int(c_0,T_a) ) ))),
% 3.94/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/1.16 fof(f292,axiom,(
% 3.94/1.16 (![T_a,V_z]: (( ~ class_Ring__and__Field_Oordered__idom(T_a)| ~ c_lessequals(c_0,V_z,tc_IntDef_Oint)| c_lessequals(c_0,c_IntDef_Oof__int(V_z,T_a),T_a) ) ))),
% 3.94/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/1.16 fof(f1363,axiom,(
% 3.94/1.16 (![T_a,V_b]: (( ~ class_Ring__and__Field_Oordered__idom(T_a)| c_0 = c_times(c_0,V_b,T_a) ) ))),
% 3.94/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/1.16 fof(f2783,negated_conjecture,(
% 3.94/1.16 (![V_U]: (~ c_lessequals(c_0,c_times(V_U,c_HOL_Oabs(v_g(v_x(V_U)),t_b),t_b),t_b) ))),
% 3.94/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/1.16 fof(f2784,negated_conjecture,(
% 3.94/1.16 class_Ring__and__Field_Oordered__idom(t_b) ),
% 3.94/1.16 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.94/1.16 fof(f3145,plain,(
% 3.94/1.16 c_IntDef_Oint(c_0)=c_0),
% 3.94/1.16 inference(cnf_transformation,[status(thm)],[f268])).
% 3.94/1.16 fof(f3148,plain,(
% 3.94/1.16 c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint)),
% 3.94/1.16 inference(cnf_transformation,[status(thm)],[f271])).
% 3.94/1.16 fof(f3170,plain,(
% 3.94/1.16 ![X0]: (~class_Ring__and__Field_Oordered__idom(X0)|c_0=c_IntDef_Oof__int(c_0,X0))),
% 3.94/1.16 inference(cnf_transformation,[status(thm)],[f290])).
% 3.94/1.16 fof(f3173,plain,(
% 3.94/1.16 ![X0,X1]: (~class_Ring__and__Field_Oordered__idom(X0)|~c_lessequals(c_0,X1,tc_IntDef_Oint)|c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0))),
% 3.94/1.16 inference(cnf_transformation,[status(thm)],[f292])).
% 3.94/1.16 fof(f4654,plain,(
% 3.94/1.16 ![T_a]: (~class_Ring__and__Field_Oordered__idom(T_a)|(![V_b]: c_0=c_times(c_0,V_b,T_a)))),
% 3.94/1.16 inference(miniscoping,[status(thm)],[f1363])).
% 3.94/1.16 fof(f4655,plain,(
% 3.94/1.16 ![X0,X1]: (~class_Ring__and__Field_Oordered__idom(X0)|c_0=c_times(c_0,X1,X0))),
% 3.94/1.16 inference(cnf_transformation,[status(thm)],[f4654])).
% 3.94/1.16 fof(f6221,plain,(
% 3.94/1.16 ![X0]: (~c_lessequals(c_0,c_times(X0,c_HOL_Oabs(v_g(v_x(X0)),t_b),t_b),t_b))),
% 3.94/1.16 inference(cnf_transformation,[status(thm)],[f2783])).
% 3.94/1.16 fof(f6222,plain,(
% 3.94/1.16 class_Ring__and__Field_Oordered__idom(t_b)),
% 3.94/1.16 inference(cnf_transformation,[status(thm)],[f2784])).
% 3.94/1.16 fof(f6491,plain,(
% 3.94/1.16 ![X0]: (c_0=c_times(c_0,X0,t_b))),
% 3.94/1.16 inference(resolution,[status(thm)],[f4655,f6222])).
% 3.94/1.16 fof(f6497,plain,(
% 3.94/1.16 ~c_lessequals(c_0,c_0,t_b)),
% 3.94/1.16 inference(paramodulation,[status(thm)],[f6491,f6221])).
% 3.94/1.16 fof(f13196,plain,(
% 3.94/1.16 c_lessequals(c_0,c_0,tc_IntDef_Oint)),
% 3.94/1.16 inference(forward_demodulation,[status(thm)],[f3145,f3148])).
% 3.94/1.16 fof(f13773,plain,(
% 3.94/1.16 c_0=c_IntDef_Oof__int(c_0,t_b)),
% 3.94/1.16 inference(resolution,[status(thm)],[f3170,f6222])).
% 3.94/1.16 fof(f14071,plain,(
% 3.94/1.16 ![X0]: (~c_lessequals(c_0,X0,tc_IntDef_Oint)|c_lessequals(c_0,c_IntDef_Oof__int(X0,t_b),t_b))),
% 3.94/1.16 inference(resolution,[status(thm)],[f3173,f6222])).
% 3.94/1.16 fof(f14325,plain,(
% 3.94/1.16 c_lessequals(c_0,c_IntDef_Oof__int(c_0,t_b),t_b)),
% 3.94/1.16 inference(resolution,[status(thm)],[f14071,f13196])).
% 3.94/1.16 fof(f14336,plain,(
% 3.94/1.16 c_lessequals(c_0,c_0,t_b)),
% 3.94/1.16 inference(forward_demodulation,[status(thm)],[f13773,f14325])).
% 3.94/1.16 fof(f14337,plain,(
% 3.94/1.16 $false),
% 3.94/1.16 inference(forward_subsumption_resolution,[status(thm)],[f14336,f6497])).
% 3.94/1.16 % SZS output end CNFRefutation for theBenchmark.p
% 3.94/1.20 % Elapsed time: 0.829627 seconds
% 3.94/1.20 % CPU time: 5.367423 seconds
% 3.94/1.20 % Total memory used: 268.325 MB
% 3.94/1.20 % Net memory used: 264.172 MB
%------------------------------------------------------------------------------