%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT262-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 01:03:26 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n014.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 23:23:34 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.36 % Drodi V4.1.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f1,negated_conjecture,(
% 0.14/0.37 c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f2,negated_conjecture,(
% 0.14/0.37 ~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f3,axiom,(
% 0.14/0.37 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f4,axiom,(
% 0.14/0.37 (![V_cl,T_a]: (c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl,T_a),T_a,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit) ))),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f5,plain,(
% 0.14/0.37 c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.37 fof(f6,plain,(
% 0.14/0.37 ~c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.37 fof(f7,plain,(
% 0.14/0.37 v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.37 fof(f8,plain,(
% 0.14/0.37 ![X0,X1]: (c_Tarski_Opotype_Opset(c_Tarski_Odual(X0,X1),X1,tc_Product__Type_Ounit)=c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit))),
% 0.14/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.37 fof(f9,plain,(
% 0.14/0.37 c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.14/0.37 inference(backward_demodulation,[status(thm)],[f7,f5])).
% 0.14/0.37 fof(f10,plain,(
% 0.14/0.37 ~c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))),
% 0.14/0.37 inference(backward_demodulation,[status(thm)],[f8,f6])).
% 0.14/0.37 fof(f11,plain,(
% 0.14/0.37 ~c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f7,f10])).
% 0.14/0.37 fof(f12,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f11,f9])).
% 0.14/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.39 % Elapsed time: 0.031115 seconds
% 0.14/0.39 % CPU time: 0.072381 seconds
% 0.14/0.39 % Total memory used: 4.593 MB
% 0.14/0.39 % Net memory used: 3.968 MB
%------------------------------------------------------------------------------