%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT268-2 : 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 : n005.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 0.13s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT268-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.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 23:24:18 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.37 fof(f1,negated_conjecture,(
% 0.13/0.37 c_lessequals(v_S,v_A,tc_set(t_a)) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f2,negated_conjecture,(
% 0.13/0.37 c_in(v_x,v_S,t_a) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f3,negated_conjecture,(
% 0.13/0.37 ~ 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)) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f4,axiom,(
% 0.13/0.37 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,axiom,(
% 0.13/0.37 (![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)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,axiom,(
% 0.13/0.37 (![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)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f7,axiom,(
% 0.13/0.37 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f8,axiom,(
% 0.13/0.37 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f9,axiom,(
% 0.13/0.37 (![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) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f10,axiom,(
% 0.13/0.37 (![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) ))),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f11,axiom,(
% 0.13/0.37 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.13/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f12,plain,(
% 0.13/0.37 c_lessequals(v_S,v_A,tc_set(t_a))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.37 fof(f13,plain,(
% 0.13/0.37 c_in(v_x,v_S,t_a)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.37 fof(f14,plain,(
% 0.13/0.37 ~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))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.37 fof(f15,plain,(
% 0.13/0.37 v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.37 fof(f16,plain,(
% 0.13/0.37 ![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)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.37 fof(f17,plain,(
% 0.13/0.37 ![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)))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.13/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.37 fof(f19,plain,(
% 0.13/0.37 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ![X0,X1,X2]: (c_Tarski_Oglb(X0,X1,X2)=c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 ![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))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ![X0]: (~c_in(X0,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~c_lessequals(v_S,c_Tarski_Opotype_Opset(X0,t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Pair(v_x,c_Tarski_Olub(v_S,X0,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(X0,t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.13/0.38 inference(resolution,[status(thm)],[f16,f13])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ![X0]: (~c_in(c_Tarski_Odual(X0,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~c_in(c_Tarski_Odual(X0,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~c_lessequals(v_S,c_Tarski_Opotype_Opset(X0,t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Pair(v_x,c_Tarski_Olub(v_S,c_Tarski_Odual(X0,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X0,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.13/0.38 inference(paramodulation,[status(thm)],[f21,f23])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 ![X0]: (~c_in(c_Tarski_Odual(X0,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~c_in(c_Tarski_Odual(X0,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|~c_lessequals(v_S,c_Tarski_Opotype_Opset(X0,t_a,tc_Product__Type_Ounit),tc_set(t_a))|c_in(c_Pair(v_x,c_Tarski_Oglb(v_S,X0,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X0,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f20,f27])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 ~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(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_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))),
% 0.13/0.38 inference(resolution,[status(thm)],[f19,f28])).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 ~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(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))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f15,f32])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ~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))),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f34,f18])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 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))),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f35,f12])).
% 0.13/0.38 fof(f37,plain,(
% 0.13/0.38 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))),
% 0.13/0.38 inference(resolution,[status(thm)],[f36,f17])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 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))),
% 0.13/0.38 inference(forward_demodulation,[status(thm)],[f22,f37])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 $false),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f39,f14])).
% 0.13/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.034430 seconds
% 0.13/0.40 % CPU time: 0.087444 seconds
% 0.13/0.40 % Total memory used: 10.679 MB
% 0.13/0.40 % Net memory used: 10.658 MB
%------------------------------------------------------------------------------