%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET822-2 : 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 : n018.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 02:12:39 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET822-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 05:41:59 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.08/0.37 % Refutation found
% 0.08/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.37 fof(f1,axiom,(
% 0.08/0.37 (![V_a,T_a]: (~ c_in(V_a,c_emptyset,T_a) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f2,axiom,(
% 0.08/0.37 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f3,axiom,(
% 0.08/0.37 (![V_a,V_b,V_A,T_a]: (( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)| c_in(V_a,V_A,T_a)| V_a = V_b ) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f4,negated_conjecture,(
% 0.08/0.37 v_P(v_f(v_b)) ),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f5,negated_conjecture,(
% 0.08/0.37 (![V_U,V_V]: (( ~ c_in(v_f(V_U),V_V,tc_IntDef_Oint)| c_in(v_x(V_U,V_V),V_V,tc_IntDef_Oint) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f6,negated_conjecture,(
% 0.08/0.37 (![V_U,V_V]: (( ~ c_in(v_f(V_U),V_V,tc_IntDef_Oint)| ~ v_P(v_x(V_U,V_V)) ) ))),
% 0.08/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.37 fof(f7,plain,(
% 0.08/0.37 ![X0,X1]: (~c_in(X0,c_emptyset,X1))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.37 fof(f8,plain,(
% 0.08/0.37 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.37 fof(f9,plain,(
% 0.08/0.37 ![V_a,V_b]: ((![V_A,T_a]: (~c_in(V_a,c_insert(V_b,V_A,T_a),T_a)|c_in(V_a,V_A,T_a)))|V_a=V_b)),
% 0.08/0.37 inference(miniscoping,[status(thm)],[f3])).
% 0.08/0.37 fof(f10,plain,(
% 0.08/0.37 ![X0,X1,X2,X3]: (~c_in(X0,c_insert(X1,X2,X3),X3)|c_in(X0,X2,X3)|X0=X1)),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/0.37 fof(f11,plain,(
% 0.08/0.37 v_P(v_f(v_b))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.37 fof(f12,plain,(
% 0.08/0.37 ![X0,X1]: (~c_in(v_f(X0),X1,tc_IntDef_Oint)|c_in(v_x(X0,X1),X1,tc_IntDef_Oint))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.37 fof(f13,plain,(
% 0.08/0.37 ![X0,X1]: (~c_in(v_f(X0),X1,tc_IntDef_Oint)|~v_P(v_x(X0,X1)))),
% 0.08/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.37 fof(f14,plain,(
% 0.08/0.37 ![X0,X1]: (~v_P(v_x(X0,c_insert(v_f(X0),X1,tc_IntDef_Oint))))),
% 0.08/0.37 inference(resolution,[status(thm)],[f8,f13])).
% 0.08/0.37 fof(f15,plain,(
% 0.08/0.37 ![X0,X1]: (c_in(v_x(X0,c_insert(v_f(X0),X1,tc_IntDef_Oint)),c_insert(v_f(X0),X1,tc_IntDef_Oint),tc_IntDef_Oint))),
% 0.08/0.37 inference(resolution,[status(thm)],[f8,f12])).
% 0.08/0.37 fof(f16,plain,(
% 0.08/0.37 ![X0,X1]: (c_in(v_x(X0,c_insert(v_f(X0),X1,tc_IntDef_Oint)),X1,tc_IntDef_Oint)|v_x(X0,c_insert(v_f(X0),X1,tc_IntDef_Oint))=v_f(X0))),
% 0.08/0.37 inference(resolution,[status(thm)],[f10,f15])).
% 0.08/0.37 fof(f19,plain,(
% 0.08/0.37 ![X0]: (v_x(X0,c_insert(v_f(X0),c_emptyset,tc_IntDef_Oint))=v_f(X0))),
% 0.08/0.37 inference(resolution,[status(thm)],[f16,f7])).
% 0.08/0.37 fof(f22,plain,(
% 0.08/0.37 ![X0]: (~v_P(v_f(X0)))),
% 0.08/0.37 inference(paramodulation,[status(thm)],[f19,f14])).
% 0.08/0.37 fof(f24,plain,(
% 0.08/0.37 $false),
% 0.08/0.37 inference(backward_subsumption_resolution,[status(thm)],[f11,f22])).
% 0.08/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.050618 seconds
% 0.13/0.41 % CPU time: 0.161159 seconds
% 0.13/0.41 % Total memory used: 79.766 MB
% 0.13/0.41 % Net memory used: 79.206 MB
%------------------------------------------------------------------------------