%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT268-1 : 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 : n006.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 01:03:27 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT268-1 : 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 : n006.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 23:23:59 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 0.12/0.45 % Refutation found
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.45 fof(f1,axiom,(
% 0.12/0.45 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f2,axiom,(
% 0.12/0.45 (![V_x,V_S,T_a,V_cl]: (( ~ c_in(V_x,V_S,T_a)| ~ c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))| ~ c_in(V_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))| ~ c_lessequals(V_S,c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),tc_set(T_a))| c_in(c_Pair(V_x,c_Tarski_Olub(V_S,V_cl,T_a),T_a,T_a),c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a)) ) ))),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f3,axiom,(
% 0.12/0.45 (![V_x,V_y,T_a,V_cl]: (( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(V_cl,T_a),T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a))| c_in(c_Pair(V_y,V_x,T_a,T_a),c_Tarski_Opotype_Oorder(V_cl,T_a,tc_Product__Type_Ounit),tc_prod(T_a,T_a)) ) ))),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f9,axiom,(
% 0.12/0.45 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f10,axiom,(
% 0.12/0.45 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f11,axiom,(
% 0.12/0.45 (![V_S,V_cl,T_a]: (c_Tarski_Oglb(V_S,V_cl,T_a) = c_Tarski_Olub(V_S,c_Tarski_Odual(V_cl,T_a),T_a) ))),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f12,axiom,(
% 0.12/0.45 (![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) ))),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f13,axiom,(
% 0.12/0.45 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f2750,negated_conjecture,(
% 0.12/0.45 c_lessequals(v_S,v_A,tc_set(t_a)) ),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f2751,negated_conjecture,(
% 0.12/0.45 c_in(v_x,v_S,t_a) ),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f2752,negated_conjecture,(
% 0.12/0.45 ~ c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f2753,plain,(
% 0.12/0.45 v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.45 fof(f2754,plain,(
% 0.12/0.45 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_in(X3,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))|~c_in(X3,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit))|~c_lessequals(X1,c_Tarski_Opotype_Opset(X3,X2,tc_Product__Type_Ounit),tc_set(X2))|c_in(c_Pair(X0,c_Tarski_Olub(X1,X3,X2),X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.45 fof(f2755,plain,(
% 0.12/0.45 ![X0,X1,X2,X3]: (~c_in(c_Pair(X0,X1,X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X3,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2))|c_in(c_Pair(X1,X0,X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.45 fof(f2761,plain,(
% 0.12/0.45 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.45 fof(f2762,plain,(
% 0.12/0.45 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.45 fof(f2763,plain,(
% 0.12/0.45 ![X0,X1,X2]: (c_Tarski_Oglb(X0,X1,X2)=c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.45 fof(f2764,plain,(
% 0.12/0.45 ![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))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.47 fof(f2765,plain,(
% 0.12/0.47 v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.47 fof(f6119,plain,(
% 0.12/0.47 c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f2750])).
% 0.12/0.47 fof(f6120,plain,(
% 0.12/0.47 c_in(v_x,v_S,t_a)),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f2751])).
% 0.12/0.47 fof(f6121,plain,(
% 0.12/0.47 ~c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.47 inference(cnf_transformation,[status(thm)],[f2752])).
% 0.12/0.47 fof(f6136,plain,(
% 0.12/0.47 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~c_lessequals(X1,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Olub(X1,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.12/0.47 inference(resolution,[status(thm)],[f2762,f2754])).
% 0.12/0.47 fof(f6137,plain,(
% 0.12/0.47 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~c_lessequals(X1,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Oglb(X1,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.12/0.47 inference(forward_demodulation,[status(thm)],[f2763,f6136])).
% 0.12/0.47 fof(f6138,plain,(
% 0.12/0.47 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_lessequals(X1,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Oglb(X1,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.12/0.47 inference(forward_subsumption_resolution,[status(thm)],[f6137,f2761])).
% 0.12/0.47 fof(f6152,plain,(
% 0.12/0.47 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_lessequals(X1,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Oglb(X1,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.12/0.47 inference(forward_demodulation,[status(thm)],[f2764,f6138])).
% 0.12/0.47 fof(f6153,plain,(
% 0.12/0.47 ![X0,X1]: (~c_in(X0,X1,t_a)|~c_lessequals(X1,v_A,tc_set(t_a))|c_in(c_Pair(X0,c_Tarski_Oglb(X1,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.12/0.47 inference(forward_demodulation,[status(thm)],[f2753,f6152])).
% 0.12/0.47 fof(f6154,plain,(
% 0.12/0.47 ~c_lessequals(v_S,v_A,tc_set(t_a))|c_in(c_Pair(v_x,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))),
% 0.12/0.47 inference(resolution,[status(thm)],[f6153,f6120])).
% 0.12/0.47 fof(f6155,plain,(
% 0.12/0.47 c_in(c_Pair(v_x,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))),
% 0.12/0.47 inference(forward_subsumption_resolution,[status(thm)],[f6154,f6119])).
% 0.12/0.47 fof(f6163,plain,(
% 0.12/0.47 c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a))),
% 0.12/0.47 inference(resolution,[status(thm)],[f6155,f2755])).
% 0.12/0.47 fof(f6165,plain,(
% 0.12/0.47 c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.12/0.47 inference(forward_demodulation,[status(thm)],[f2765,f6163])).
% 0.12/0.47 fof(f6166,plain,(
% 0.12/0.47 $false),
% 0.12/0.47 inference(forward_subsumption_resolution,[status(thm)],[f6165,f6121])).
% 0.12/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.63/0.51 % Elapsed time: 0.141765 seconds
% 0.63/0.51 % CPU time: 0.421229 seconds
% 0.63/0.51 % Total memory used: 218.588 MB
% 0.63/0.51 % Net memory used: 217.560 MB
%------------------------------------------------------------------------------