%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA021-1 : 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 12:02:31 PM UTC 2026
% Result : Unsatisfiable 0.23s 6.02s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ANA021-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/5.45 % Computer : n002.cluster.edu
% 0.18/5.45 % Model : x86_64 x86_64
% 0.18/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.45 % Memory : 8046.5625MB
% 0.18/5.45 % OS : Linux 6.8.0-71-generic
% 0.18/5.45 % CPULimit : 300
% 0.18/5.45 % WCLimit : 300
% 0.18/5.45 % DateTime : Mon Sep 21 13:26:54 UTC 2026
% 0.18/5.45 % CPUTime :
% 0.23/5.58 % Drodi V4.1.1
% 0.23/6.02 % Refutation found
% 0.23/6.02 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/6.02 % SZS output start CNFRefutation for theBenchmark
% 0.23/6.02 fof(f910,axiom,(
% 0.23/6.02 c_1 = c_Suc(c_0) ),
% 0.23/6.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/6.02 fof(f918,axiom,(
% 0.23/6.02 (![V_y]: (( ~ c_less(c_0,V_y,tc_nat)| c_Suc(c_minus(V_y,c_Suc(c_0),tc_nat)) = V_y ) ))),
% 0.23/6.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/6.02 fof(f983,axiom,(
% 0.23/6.02 (![V_n]: (( c_less(c_0,V_n,tc_nat)| V_n = c_0 ) ))),
% 0.23/6.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/6.02 fof(f2788,negated_conjecture,(
% 0.23/6.02 (![V_U]: (c_lessequals(c_HOL_Oabs(v_f(c_Suc(V_U)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(V_U)),t_a),t_a),t_a) ))),
% 0.23/6.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/6.02 fof(f2789,negated_conjecture,(
% 0.23/6.02 v_x != c_0 ),
% 0.23/6.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/6.02 fof(f2790,negated_conjecture,(
% 0.23/6.02 ~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ),
% 0.23/6.02 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.23/6.02 fof(f4015,plain,(
% 0.23/6.02 c_1=c_Suc(c_0)),
% 0.23/6.02 inference(cnf_transformation,[status(thm)],[f910])).
% 0.23/6.02 fof(f4023,plain,(
% 0.23/6.02 ![X0]: (~c_less(c_0,X0,tc_nat)|c_Suc(c_minus(X0,c_Suc(c_0),tc_nat))=X0)),
% 0.23/6.02 inference(cnf_transformation,[status(thm)],[f918])).
% 0.23/6.02 fof(f4117,plain,(
% 0.23/6.02 ![X0]: (c_less(c_0,X0,tc_nat)|X0=c_0)),
% 0.23/6.02 inference(cnf_transformation,[status(thm)],[f983])).
% 0.23/6.02 fof(f6233,plain,(
% 0.23/6.02 ![X0]: (c_lessequals(c_HOL_Oabs(v_f(c_Suc(X0)),t_a),c_times(v_c,c_HOL_Oabs(v_h(c_Suc(X0)),t_a),t_a),t_a))),
% 0.23/6.02 inference(cnf_transformation,[status(thm)],[f2788])).
% 0.23/6.02 fof(f6234,plain,(
% 0.23/6.02 ~v_x=c_0),
% 0.23/6.02 inference(cnf_transformation,[status(thm)],[f2789])).
% 0.23/6.02 fof(f6235,plain,(
% 0.23/6.02 ~c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a)),
% 0.23/6.02 inference(cnf_transformation,[status(thm)],[f2790])).
% 0.23/6.02 fof(f6276,plain,(
% 0.23/6.02 ![X0]: (~c_less(c_0,X0,tc_nat)|c_Suc(c_minus(X0,c_1,tc_nat))=X0)),
% 0.23/6.02 inference(forward_demodulation,[status(thm)],[f4015,f4023])).
% 0.23/6.02 fof(f6514,plain,(
% 0.23/6.02 ![X0]: (X0=c_0|c_Suc(c_minus(X0,c_1,tc_nat))=X0)),
% 0.23/6.02 inference(resolution,[status(thm)],[f4117,f6276])).
% 0.23/6.02 fof(f6763,plain,(
% 0.23/6.02 ![X0]: (c_lessequals(c_HOL_Oabs(v_f(c_Suc(c_minus(X0,c_1,tc_nat))),t_a),c_times(v_c,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)|X0=c_0)),
% 0.23/6.02 inference(paramodulation,[status(thm)],[f6514,f6233])).
% 0.23/6.02 fof(f6786,plain,(
% 0.23/6.02 ![X0]: (c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_c,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)|X0=c_0|X0=c_0)),
% 0.23/6.02 inference(paramodulation,[status(thm)],[f6514,f6763])).
% 0.23/6.02 fof(f6787,plain,(
% 0.23/6.02 ![X0]: (c_lessequals(c_HOL_Oabs(v_f(X0),t_a),c_times(v_c,c_HOL_Oabs(v_h(X0),t_a),t_a),t_a)|X0=c_0)),
% 0.23/6.02 inference(duplicate_literals_removal,[status(thm)],[f6786])).
% 0.23/6.02 fof(f6788,plain,(
% 0.23/6.02 v_x=c_0),
% 0.23/6.02 inference(resolution,[status(thm)],[f6787,f6235])).
% 0.23/6.02 fof(f6790,plain,(
% 0.23/6.02 $false),
% 0.23/6.02 inference(forward_subsumption_resolution,[status(thm)],[f6788,f6234])).
% 0.23/6.02 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/6.05 % Elapsed time: 0.579093 seconds
% 0.23/6.05 % CPU time: 3.496690 seconds
% 0.23/6.05 % Total memory used: 277.697 MB
% 0.23/6.05 % Net memory used: 275.477 MB
%------------------------------------------------------------------------------