%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : ANA021-2 : 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 : n009.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 0.21s 0.53s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA021-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 % Computer : n009.cluster.edu
% 0.17/0.48 % Model : x86_64 x86_64
% 0.17/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.48 % Memory : 8046.5625MB
% 0.17/0.48 % OS : Linux 6.8.0-71-generic
% 0.17/0.48 % CPULimit : 300
% 0.17/0.48 % WCLimit : 300
% 0.17/0.48 % DateTime : Mon Sep 21 13:24:28 UTC 2026
% 0.17/0.49 % CPUTime :
% 0.17/0.52 % Drodi V4.1.1
% 0.21/0.53 % Refutation found
% 0.21/0.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.53 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.53 fof(f1,axiom,(
% 0.21/0.53 (![V_x]: (( ~ c_less(c_0,V_x,tc_nat)| V_x = c_Suc(c_minus(V_x,c_1,tc_nat)) ) ))),
% 0.21/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.53 fof(f2,axiom,(
% 0.21/0.53 (![V_n]: (( c_less(c_0,V_n,tc_nat)| V_n = c_0 ) ))),
% 0.21/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.53 fof(f3,negated_conjecture,(
% 0.21/0.53 (![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) ))),
% 0.21/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.53 fof(f4,negated_conjecture,(
% 0.21/0.53 v_x != c_0 ),
% 0.21/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.53 fof(f5,negated_conjecture,(
% 0.21/0.53 ~ 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) ),
% 0.21/0.53 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.53 fof(f6,plain,(
% 0.21/0.53 ![X0]: (~c_less(c_0,X0,tc_nat)|X0=c_Suc(c_minus(X0,c_1,tc_nat)))),
% 0.21/0.53 inference(cnf_transformation,[status(thm)],[f1])).
% 0.21/0.53 fof(f7,plain,(
% 0.21/0.53 ![X0]: (c_less(c_0,X0,tc_nat)|X0=c_0)),
% 0.21/0.53 inference(cnf_transformation,[status(thm)],[f2])).
% 0.21/0.53 fof(f8,plain,(
% 0.21/0.53 ![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))),
% 0.21/0.53 inference(cnf_transformation,[status(thm)],[f3])).
% 0.21/0.53 fof(f9,plain,(
% 0.21/0.53 ~v_x=c_0),
% 0.21/0.53 inference(cnf_transformation,[status(thm)],[f4])).
% 0.21/0.53 fof(f10,plain,(
% 0.21/0.53 ~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)),
% 0.21/0.53 inference(cnf_transformation,[status(thm)],[f5])).
% 0.21/0.53 fof(f11,plain,(
% 0.21/0.53 ![X0]: (X0=c_Suc(c_minus(X0,c_1,tc_nat))|X0=c_0)),
% 0.21/0.53 inference(resolution,[status(thm)],[f6,f7])).
% 0.21/0.53 fof(f12,plain,(
% 0.21/0.53 ![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)),
% 0.21/0.53 inference(paramodulation,[status(thm)],[f11,f8])).
% 0.21/0.53 fof(f14,plain,(
% 0.21/0.53 ![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)),
% 0.21/0.53 inference(paramodulation,[status(thm)],[f11,f12])).
% 0.21/0.53 fof(f15,plain,(
% 0.21/0.53 ![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)),
% 0.21/0.53 inference(duplicate_literals_removal,[status(thm)],[f14])).
% 0.21/0.53 fof(f18,plain,(
% 0.21/0.53 v_x=c_0),
% 0.21/0.53 inference(resolution,[status(thm)],[f15,f10])).
% 0.21/0.53 fof(f19,plain,(
% 0.21/0.53 $false),
% 0.21/0.53 inference(forward_subsumption_resolution,[status(thm)],[f18,f9])).
% 0.21/0.53 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.59 % Elapsed time: 0.081628 seconds
% 0.21/0.59 % CPU time: 0.103641 seconds
% 0.21/0.59 % Total memory used: 7.492 MB
% 0.21/0.59 % Net memory used: 7.460 MB
%------------------------------------------------------------------------------