%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET822-1 : 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 : n003.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 0.14s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET822-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n003.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 05:41:30 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.14/0.41 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.44 fof(f1,axiom,(
% 0.14/0.44 (![V_x,V_xo,T_a]: (( ~ c_in(V_x,c_Datatype_Oo2s(V_xo,T_a),T_a)| V_xo = c_Datatype_Ooption_OSome(V_x,T_a) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f2,axiom,(
% 0.14/0.44 (![V_x,T_a]: (c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f7,axiom,(
% 0.14/0.44 (![V_a,T_a,V_a_H]: (( c_Datatype_Ooption_OSome(V_a,T_a) != c_Datatype_Ooption_OSome(V_a_H,T_a)| V_a = V_a_H ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f1358,negated_conjecture,(
% 0.14/0.44 v_P(v_f(v_b)) ),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f1359,negated_conjecture,(
% 0.14/0.44 (![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) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f1360,negated_conjecture,(
% 0.14/0.44 (![V_U,V_V]: (( ~ c_in(v_f(V_U),V_V,tc_IntDef_Oint)| ~ v_P(v_x(V_U,V_V)) ) ))),
% 0.14/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.44 fof(f1361,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~c_in(X0,c_Datatype_Oo2s(X1,X2),X2)|X1=c_Datatype_Ooption_OSome(X0,X2))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.44 fof(f1362,plain,(
% 0.14/0.44 ![X0,X1]: (c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.44 fof(f1369,plain,(
% 0.14/0.44 ![V_a,V_a_H]: ((![T_a]: ~c_Datatype_Ooption_OSome(V_a,T_a)=c_Datatype_Ooption_OSome(V_a_H,T_a))|V_a=V_a_H)),
% 0.14/0.44 inference(miniscoping,[status(thm)],[f7])).
% 0.14/0.44 fof(f1370,plain,(
% 0.14/0.44 ![X0,X1,X2]: (~c_Datatype_Ooption_OSome(X0,X1)=c_Datatype_Ooption_OSome(X2,X1)|X0=X2)),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f1369])).
% 0.14/0.44 fof(f2836,plain,(
% 0.14/0.44 v_P(v_f(v_b))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f1358])).
% 0.14/0.44 fof(f2837,plain,(
% 0.14/0.44 ![X0,X1]: (~c_in(v_f(X0),X1,tc_IntDef_Oint)|c_in(v_x(X0,X1),X1,tc_IntDef_Oint))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f1359])).
% 0.14/0.44 fof(f2838,plain,(
% 0.14/0.44 ![X0,X1]: (~c_in(v_f(X0),X1,tc_IntDef_Oint)|~v_P(v_x(X0,X1)))),
% 0.14/0.44 inference(cnf_transformation,[status(thm)],[f1360])).
% 0.14/0.44 fof(f2839,plain,(
% 0.14/0.44 ![X0]: (c_in(v_x(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_f(X0),tc_IntDef_Oint),tc_IntDef_Oint)),c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_f(X0),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint))),
% 0.14/0.44 inference(resolution,[status(thm)],[f1362,f2837])).
% 0.14/0.44 fof(f2841,plain,(
% 0.14/0.44 ![X0]: (c_Datatype_Ooption_OSome(v_f(X0),tc_IntDef_Oint)=c_Datatype_Ooption_OSome(v_x(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_f(X0),tc_IntDef_Oint),tc_IntDef_Oint)),tc_IntDef_Oint))),
% 0.14/0.44 inference(resolution,[status(thm)],[f2839,f1361])).
% 0.14/0.44 fof(f2850,plain,(
% 0.14/0.44 ![X0]: (v_f(X0)=v_x(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_f(X0),tc_IntDef_Oint),tc_IntDef_Oint)))),
% 0.14/0.44 inference(resolution,[status(thm)],[f1370,f2841])).
% 0.14/0.44 fof(f2878,plain,(
% 0.14/0.44 ![X0]: (~c_in(v_f(X0),c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_f(X0),tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)|~v_P(v_f(X0)))),
% 0.14/0.44 inference(paramodulation,[status(thm)],[f2850,f2838])).
% 0.14/0.44 fof(f2879,plain,(
% 0.14/0.44 ![X0]: (~v_P(v_f(X0)))),
% 0.14/0.44 inference(forward_subsumption_resolution,[status(thm)],[f2878,f1362])).
% 0.14/0.44 fof(f2882,plain,(
% 0.14/0.44 $false),
% 0.14/0.44 inference(backward_subsumption_resolution,[status(thm)],[f2836,f2879])).
% 0.14/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.47 % Elapsed time: 0.104441 seconds
% 0.14/0.47 % CPU time: 0.243089 seconds
% 0.14/0.47 % Total memory used: 151.116 MB
% 0.14/0.47 % Net memory used: 150.680 MB
%------------------------------------------------------------------------------