%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SCT002-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 02:07:11 PM UTC 2026
% Result : Unsatisfiable 0.54s 16.81s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT002-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.14/16.69 % CPULimit : 300
% 0.14/16.69 % WCLimit : 300
% 0.14/16.69 % DateTime : Mon Sep 21 04:25:23 UTC 2026
% 0.54/16.70 % CPUTime :
% 0.54/16.78 % Drodi V4.1.1
% 0.54/16.81 % Refutation found
% 0.54/16.81 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.54/16.81 % SZS output start CNFRefutation for theBenchmark
% 0.54/16.81 fof(f646,axiom,(
% 0.54/16.81 (![V_x,V_z,T_a,V_r,V_y]: (( hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))| ~ hBOOL(c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))| ~ hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))| ~ c_Relation_Otrans(V_r,T_a) ) ))),
% 0.54/16.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.54/16.81 fof(f651,negated_conjecture,(
% 0.54/16.81 c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt) ),
% 0.54/16.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.54/16.81 fof(f652,negated_conjecture,(
% 0.54/16.81 (![V_x]: (~ hBOOL(c_in(c_Pair(V_x,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ))),
% 0.54/16.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.54/16.81 fof(f653,negated_conjecture,(
% 0.54/16.81 hBOOL(c_in(c_Pair(v_y,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
% 0.54/16.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.54/16.81 fof(f654,negated_conjecture,(
% 0.54/16.81 hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))) ),
% 0.54/16.81 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.54/16.81 fof(f1622,plain,(
% 0.54/16.81 ![T_a,V_r]: ((![V_x,V_y]: ((![V_z]: (hBOOL(c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))|~hBOOL(c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a)))))|~hBOOL(c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a)))))|~c_Relation_Otrans(V_r,T_a))),
% 0.54/16.81 inference(miniscoping,[status(thm)],[f646])).
% 0.54/16.81 fof(f1623,plain,(
% 0.54/16.81 ![X0,X1,X2,X3,X4]: (hBOOL(c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)))|~hBOOL(c_in(c_Pair(X4,X1,X2,X2),X3,tc_prod(X2,X2)))|~hBOOL(c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2)))|~c_Relation_Otrans(X3,X2))),
% 0.54/16.81 inference(cnf_transformation,[status(thm)],[f1622])).
% 0.54/16.81 fof(f1631,plain,(
% 0.54/16.81 c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)),
% 0.54/16.81 inference(cnf_transformation,[status(thm)],[f651])).
% 0.54/16.81 fof(f1632,plain,(
% 0.54/16.81 ![X0]: (~hBOOL(c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))),
% 0.54/16.81 inference(cnf_transformation,[status(thm)],[f652])).
% 0.54/16.81 fof(f1633,plain,(
% 0.54/16.81 hBOOL(c_in(c_Pair(v_y,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.54/16.81 inference(cnf_transformation,[status(thm)],[f653])).
% 0.54/16.81 fof(f1634,plain,(
% 0.54/16.81 hBOOL(c_in(c_Pair(v_x,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.54/16.81 inference(cnf_transformation,[status(thm)],[f654])).
% 0.54/16.81 fof(f1970,plain,(
% 0.54/16.81 ![X0]: (hBOOL(c_in(c_Pair(X0,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(X0,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.54/16.81 inference(resolution,[status(thm)],[f1623,f1634])).
% 0.54/16.81 fof(f1982,definition,(
% 0.54/16.81 ![X0]: (sQ2_spl <=> (hBOOL(c_in(c_Pair(X0,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(X0,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))))),
% 0.54/16.81 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.54/16.81 fof(f1983,plain,(
% 0.54/16.81 ![X0]: (hBOOL(c_in(c_Pair(X0,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~hBOOL(c_in(c_Pair(X0,v_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~sQ2_spl)),
% 0.54/16.82 inference(component_clause,[status(thm)],[f1982])).
% 0.54/16.82 fof(f1985,definition,(
% 0.54/16.82 sQ3_spl <=> (c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.54/16.82 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.54/16.82 fof(f1987,plain,(
% 0.54/16.82 ~c_Relation_Otrans(v_L,tc_Arrow__Order__Mirabelle_Oalt)|sQ3_spl),
% 0.54/16.82 inference(component_clause,[status(thm)],[f1985])).
% 0.54/16.82 fof(f1988,plain,(
% 0.54/16.82 sQ2_spl|~sQ3_spl),
% 0.54/16.82 inference(split_clause,[status(thm)],[f1970,f1982,f1985])).
% 0.54/16.82 fof(f2021,plain,(
% 0.54/16.82 $false|sQ3_spl),
% 0.54/16.82 inference(forward_subsumption_resolution,[status(thm)],[f1987,f1631])).
% 0.54/16.82 fof(f2022,plain,(
% 0.54/16.82 sQ3_spl),
% 0.54/16.82 inference(contradiction_clause,[status(thm)],[f2021])).
% 0.54/16.82 fof(f2082,plain,(
% 0.54/16.82 hBOOL(c_in(c_Pair(v_y,v_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))|~sQ2_spl),
% 0.54/16.82 inference(resolution,[status(thm)],[f1983,f1633])).
% 0.54/16.82 fof(f2087,plain,(
% 0.54/16.82 $false|~sQ2_spl),
% 0.54/16.82 inference(forward_subsumption_resolution,[status(thm)],[f2082,f1632])).
% 0.54/16.82 fof(f2088,plain,(
% 0.54/16.82 ~sQ2_spl),
% 0.54/16.82 inference(contradiction_clause,[status(thm)],[f2087])).
% 0.54/16.82 fof(f2089,plain,(
% 0.54/16.82 $false),
% 0.54/16.82 inference(sat_refutation,[status(thm)],[f1988,f2022,f2088])).
% 0.54/16.82 % SZS output end CNFRefutation for theBenchmark.p
% 0.54/16.85 % Elapsed time: 0.140567 seconds
% 0.54/16.85 % CPU time: 0.341239 seconds
% 0.54/16.85 % Total memory used: 102.744 MB
% 0.54/16.85 % Net memory used: 102.476 MB
%------------------------------------------------------------------------------