%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET821-1 : 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 : 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 02:12:39 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET821-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 05:42:19 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.41 % Drodi V4.1.1
% 0.08/0.49 % Refutation found
% 0.08/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.49 fof(f1,axiom,(
% 0.08/0.49 (![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) ) ))),
% 0.08/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.49 fof(f2,axiom,(
% 0.08/0.49 (![V_x,T_a]: (c_in(V_x,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(V_x,T_a),T_a),T_a) ))),
% 0.08/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.49 fof(f7,axiom,(
% 0.08/0.49 (![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 ) ))),
% 0.08/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.49 fof(f123,axiom,(
% 0.08/0.49 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| ~ c_less(V_x,V_x,T_a) ) ))),
% 0.08/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.49 fof(f352,axiom,(
% 0.08/0.49 class_Orderings_Oorder(tc_IntDef_Oint) ),
% 0.08/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.49 fof(f1358,negated_conjecture,(
% 0.08/0.49 c_less(v_a,v_b,tc_IntDef_Oint) ),
% 0.08/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.49 fof(f1359,negated_conjecture,(
% 0.08/0.49 c_less(v_b,v_c,tc_IntDef_Oint) ),
% 0.08/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.49 fof(f1360,negated_conjecture,(
% 0.08/0.49 (![V_U]: (( c_in(v_c,V_U,tc_IntDef_Oint)| ~ c_in(v_b,V_U,tc_IntDef_Oint)| c_in(v_a,V_U,tc_IntDef_Oint) ) ))),
% 0.08/0.49 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.49 fof(f1361,plain,(
% 0.08/0.49 ![X0,X1,X2]: (~c_in(X0,c_Datatype_Oo2s(X1,X2),X2)|X1=c_Datatype_Ooption_OSome(X0,X2))),
% 0.08/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.08/0.49 fof(f1362,plain,(
% 0.08/0.49 ![X0,X1]: (c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1))),
% 0.08/0.49 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/0.49 fof(f1369,plain,(
% 0.08/0.49 ![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)),
% 0.08/0.49 inference(miniscoping,[status(thm)],[f7])).
% 0.08/0.49 fof(f1370,plain,(
% 0.08/0.49 ![X0,X1,X2]: (~c_Datatype_Ooption_OSome(X0,X1)=c_Datatype_Ooption_OSome(X2,X1)|X0=X2)),
% 0.08/0.49 inference(cnf_transformation,[status(thm)],[f1369])).
% 0.08/0.49 fof(f1529,plain,(
% 0.08/0.49 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: ~c_less(V_x,V_x,T_a)))),
% 0.08/0.49 inference(miniscoping,[status(thm)],[f123])).
% 0.08/0.49 fof(f1530,plain,(
% 0.08/0.49 ![X0,X1]: (~class_Orderings_Oorder(X0)|~c_less(X1,X1,X0))),
% 0.08/0.49 inference(cnf_transformation,[status(thm)],[f1529])).
% 0.08/0.49 fof(f1827,plain,(
% 0.08/0.49 class_Orderings_Oorder(tc_IntDef_Oint)),
% 0.08/0.49 inference(cnf_transformation,[status(thm)],[f352])).
% 0.08/0.49 fof(f2836,plain,(
% 0.08/0.49 c_less(v_a,v_b,tc_IntDef_Oint)),
% 0.08/0.49 inference(cnf_transformation,[status(thm)],[f1358])).
% 0.08/0.49 fof(f2837,plain,(
% 0.08/0.49 c_less(v_b,v_c,tc_IntDef_Oint)),
% 0.08/0.49 inference(cnf_transformation,[status(thm)],[f1359])).
% 0.08/0.49 fof(f2838,plain,(
% 0.08/0.49 ![X0]: (c_in(v_c,X0,tc_IntDef_Oint)|~c_in(v_b,X0,tc_IntDef_Oint)|c_in(v_a,X0,tc_IntDef_Oint))),
% 0.08/0.49 inference(cnf_transformation,[status(thm)],[f1360])).
% 0.08/0.49 fof(f2843,plain,(
% 0.08/0.49 c_in(v_c,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)|c_in(v_a,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)),
% 0.08/0.49 inference(resolution,[status(thm)],[f2838,f1362])).
% 0.08/0.49 fof(f2844,definition,(
% 0.08/0.49 sQ0_spl <=> (c_in(v_c,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint))),
% 0.08/0.49 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.08/0.49 fof(f2845,plain,(
% 0.08/0.49 c_in(v_c,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)|~sQ0_spl),
% 0.08/0.49 inference(component_clause,[status(thm)],[f2844])).
% 0.08/0.49 fof(f2847,definition,(
% 0.08/0.49 sQ1_spl <=> (c_in(v_a,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint))),
% 0.08/0.49 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.08/0.49 fof(f2848,plain,(
% 0.08/0.49 c_in(v_a,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)|~sQ1_spl),
% 0.08/0.49 inference(component_clause,[status(thm)],[f2847])).
% 0.08/0.49 fof(f2850,plain,(
% 0.08/0.49 sQ0_spl|sQ1_spl),
% 0.08/0.49 inference(split_clause,[status(thm)],[f2843,f2844,f2847])).
% 0.08/0.49 fof(f2851,plain,(
% 0.08/0.51 c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint)=c_Datatype_Ooption_OSome(v_c,tc_IntDef_Oint)|~sQ0_spl),
% 0.08/0.51 inference(resolution,[status(thm)],[f2845,f1361])).
% 0.08/0.51 fof(f2859,plain,(
% 0.08/0.51 v_b=v_c|~sQ0_spl),
% 0.08/0.51 inference(resolution,[status(thm)],[f1370,f2851])).
% 0.08/0.51 fof(f2887,plain,(
% 0.08/0.51 c_less(v_b,v_b,tc_IntDef_Oint)|~sQ0_spl),
% 0.08/0.51 inference(backward_demodulation,[status(thm)],[f2859,f2837])).
% 0.08/0.51 fof(f3513,plain,(
% 0.08/0.51 ~class_Orderings_Oorder(tc_IntDef_Oint)|~sQ0_spl),
% 0.08/0.51 inference(resolution,[status(thm)],[f1530,f2887])).
% 0.08/0.51 fof(f3599,plain,(
% 0.08/0.51 $false|~sQ0_spl),
% 0.08/0.51 inference(forward_subsumption_resolution,[status(thm)],[f3513,f1827])).
% 0.08/0.51 fof(f3600,plain,(
% 0.08/0.51 ~sQ0_spl),
% 0.08/0.51 inference(contradiction_clause,[status(thm)],[f3599])).
% 0.08/0.51 fof(f3611,plain,(
% 0.08/0.51 c_Datatype_Ooption_OSome(v_b,tc_IntDef_Oint)=c_Datatype_Ooption_OSome(v_a,tc_IntDef_Oint)|~sQ1_spl),
% 0.08/0.51 inference(resolution,[status(thm)],[f2848,f1361])).
% 0.08/0.51 fof(f3613,plain,(
% 0.08/0.51 v_b=v_a|~sQ1_spl),
% 0.08/0.51 inference(resolution,[status(thm)],[f3611,f1370])).
% 0.08/0.51 fof(f3631,plain,(
% 0.08/0.51 c_less(v_a,v_a,tc_IntDef_Oint)|~sQ1_spl),
% 0.08/0.51 inference(backward_demodulation,[status(thm)],[f3613,f2836])).
% 0.08/0.51 fof(f3632,plain,(
% 0.08/0.51 ~class_Orderings_Oorder(tc_IntDef_Oint)|~sQ1_spl),
% 0.08/0.51 inference(resolution,[status(thm)],[f3631,f1530])).
% 0.08/0.51 fof(f3633,plain,(
% 0.08/0.51 $false|~sQ1_spl),
% 0.08/0.51 inference(forward_subsumption_resolution,[status(thm)],[f3632,f1827])).
% 0.08/0.51 fof(f3634,plain,(
% 0.08/0.51 ~sQ1_spl),
% 0.08/0.51 inference(contradiction_clause,[status(thm)],[f3633])).
% 0.08/0.51 fof(f3635,plain,(
% 0.08/0.51 $false),
% 0.08/0.51 inference(sat_refutation,[status(thm)],[f2850,f3600,f3634])).
% 0.08/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.52 % Elapsed time: 0.152238 seconds
% 0.08/0.52 % CPU time: 0.694912 seconds
% 0.08/0.52 % Total memory used: 159.409 MB
% 0.08/0.52 % Net memory used: 158.694 MB
%------------------------------------------------------------------------------