%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SCT007-1 : 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 : n013.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 02:07:12 PM UTC 2026
% Result : Unsatisfiable 0.54s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT007-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:24:51 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.41 % Drodi V4.1.1
% 0.54/0.54 % Refutation found
% 0.54/0.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.54/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.54/0.54 fof(f541,axiom,(
% 0.54/0.54 (![V_A,V_r,T_a]: (( hBOOL(c_Order__Relation_Olinear__order__on(V_A,c_Relation_Oconverse(V_r,T_a,T_a),T_a))| ~ hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)) ) ))),
% 0.54/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.54/0.54 fof(f569,axiom,(
% 0.54/0.54 (![V_A,T_a,V_r]: (( hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(V_A,T_a),c_HOL_Ominus__class_Ominus(V_r,c_Relation_OId(T_a),tc_fun(tc_prod(T_a,T_a),tc_bool))))| ~ hBOOL(c_Order__Relation_Olinear__order__on(V_A,V_r,T_a)) ) ))),
% 0.54/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.54/0.54 fof(f570,negated_conjecture,(
% 0.54/0.54 hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt)) ),
% 0.54/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.54/0.54 fof(f572,negated_conjecture,(
% 0.54/0.54 (![V_x]: (~ hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),V_x)) ))),
% 0.54/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.54/0.54 fof(f1405,plain,(
% 0.54/0.54 ![X0,X1,X2]: (hBOOL(c_Order__Relation_Olinear__order__on(X0,c_Relation_Oconverse(X1,X2,X2),X2))|~hBOOL(c_Order__Relation_Olinear__order__on(X0,X1,X2)))),
% 0.54/0.54 inference(cnf_transformation,[status(thm)],[f541])).
% 0.54/0.54 fof(f1439,plain,(
% 0.54/0.54 ![X0,X1,X2]: (hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(X0,X1),c_HOL_Ominus__class_Ominus(X2,c_Relation_OId(X1),tc_fun(tc_prod(X1,X1),tc_bool))))|~hBOOL(c_Order__Relation_Olinear__order__on(X0,X2,X1)))),
% 0.54/0.54 inference(cnf_transformation,[status(thm)],[f569])).
% 0.54/0.54 fof(f1440,plain,(
% 0.54/0.54 hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),v_r,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.54/0.54 inference(cnf_transformation,[status(thm)],[f570])).
% 0.54/0.54 fof(f1442,plain,(
% 0.54/0.54 ![X0]: (~hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),X0)))),
% 0.54/0.54 inference(cnf_transformation,[status(thm)],[f572])).
% 0.54/0.54 fof(f2586,plain,(
% 0.54/0.54 hBOOL(c_Order__Relation_Olinear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),c_Relation_Oconverse(v_r,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.54/0.54 inference(resolution,[status(thm)],[f1405,f1440])).
% 0.54/0.54 fof(f2886,plain,(
% 0.54/0.54 hBOOL(hAPP(c_Order__Relation_Ostrict__linear__order__on(c_Orderings_Otop__class_Otop(tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_bool)),tc_Arrow__Order__Mirabelle_Oalt),c_HOL_Ominus__class_Ominus(c_Relation_Oconverse(v_r,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Relation_OId(tc_Arrow__Order__Mirabelle_Oalt),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))))),
% 0.54/0.54 inference(resolution,[status(thm)],[f1439,f2586])).
% 0.54/0.54 fof(f2889,plain,(
% 0.54/0.54 $false),
% 0.54/0.54 inference(forward_subsumption_resolution,[status(thm)],[f2886,f1442])).
% 0.54/0.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.54/0.55 % Elapsed time: 0.177531 seconds
% 0.54/0.55 % CPU time: 0.838770 seconds
% 0.54/0.55 % Total memory used: 148.467 MB
% 0.54/0.55 % Net memory used: 147.798 MB
%------------------------------------------------------------------------------