%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT268-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 01:03:27 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT268-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 23:24:11 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.38 fof(f1,axiom,(
% 0.10/0.38 (![A,B,C]: (ifeq(A,A,B,C) = B ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f2,negated_conjecture,(
% 0.10/0.38 c_lessequals(v_S,v_A,tc_set(t_a)) = true ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f3,negated_conjecture,(
% 0.10/0.38 c_in(v_x,v_S,t_a) = true ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f4,negated_conjecture,(
% 0.10/0.38 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)) != true ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f5,axiom,(
% 0.10/0.38 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f6,axiom,(
% 0.10/0.38 (![V_S,V_cl,T_a,V_x]: (ifeq(c_lessequals(V_S,c_Tarski_Opotype_Opset(V_cl,T_a,tc_Product__Type_Ounit),tc_set(T_a)),true,ifeq(c_in(V_cl,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit)),true,ifeq(c_in(V_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit)),true,ifeq(c_in(V_x,V_S,T_a),true,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)),true),true),true),true) = true ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f7,axiom,(
% 0.10/0.38 (![V_x,V_y,T_a,V_cl]: (ifeq(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)),true,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)),true) = true ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f8,axiom,(
% 0.10/0.38 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) = true ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f9,axiom,(
% 0.10/0.38 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) = true ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f10,axiom,(
% 0.10/0.38 (![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) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f11,axiom,(
% 0.10/0.38 (![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) ))),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f12,axiom,(
% 0.10/0.38 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.10/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.38 fof(f13,plain,(
% 0.10/0.38 ![X0,X1,X2]: (ifeq(X0,X0,X1,X2)=X1)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.38 fof(f14,plain,(
% 0.10/0.38 c_lessequals(v_S,v_A,tc_set(t_a))=true),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.38 fof(f15,plain,(
% 0.10/0.38 c_in(v_x,v_S,t_a)=true),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.38 fof(f16,plain,(
% 0.10/0.38 ~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))=true),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.38 fof(f17,plain,(
% 0.10/0.38 v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.38 fof(f18,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2)),true,ifeq(c_in(X1,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)),true,ifeq(c_in(X1,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)),true,ifeq(c_in(X3,X0,X2),true,c_in(c_Pair(X3,c_Tarski_Olub(X0,X1,X2),X2,X2),c_Tarski_Opotype_Oorder(X1,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)),true),true),true),true)=true)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.38 fof(f19,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (ifeq(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)),true,c_in(c_Pair(X1,X0,X2,X2),c_Tarski_Opotype_Oorder(X3,X2,tc_Product__Type_Ounit),tc_prod(X2,X2)),true)=true)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.38 fof(f20,plain,(
% 0.10/0.38 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))=true),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.38 fof(f21,plain,(
% 0.10/0.38 c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))=true),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.10/0.38 fof(f22,plain,(
% 0.10/0.38 ![X0,X1,X2]: (c_Tarski_Oglb(X0,X1,X2)=c_Tarski_Olub(X0,c_Tarski_Odual(X1,X2),X2))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.38 fof(f23,plain,(
% 0.10/0.38 ![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))),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.38 fof(f24,plain,(
% 0.10/0.38 v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.10/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.38 fof(f32,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),tc_set(X2)),true,ifeq(c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)),true,ifeq(c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)),true,ifeq(c_in(X3,X0,X2),true,c_in(c_Pair(X3,c_Tarski_Oglb(X0,X1,X2),X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2)),true),true),true),true)=true)),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f22,f18])).
% 0.10/0.38 fof(f36,plain,(
% 0.10/0.38 ![X0,X1,X2,X3]: (ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(X1,X2,tc_Product__Type_Ounit),tc_set(X2)),true,ifeq(c_in(c_Tarski_Odual(X1,X2),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)),true,ifeq(c_in(c_Tarski_Odual(X1,X2),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X2,tc_Product__Type_Ounit)),true,ifeq(c_in(X3,X0,X2),true,c_in(c_Pair(X3,c_Tarski_Oglb(X0,X1,X2),X2,X2),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X1,X2),X2,tc_Product__Type_Ounit),tc_prod(X2,X2)),true),true),true),true)=true)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f23,f32])).
% 0.10/0.38 fof(f38,plain,(
% 0.10/0.38 ![X0,X1]: (ifeq(c_in(c_Pair(X0,X1,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)),true,c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)),true)=true)),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f24,f19])).
% 0.10/0.38 fof(f59,plain,(
% 0.10/0.38 ![X0,X1]: (ifeq(c_lessequals(X0,v_A,tc_set(t_a)),true,ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(X1,X0,t_a),true,c_in(c_Pair(X1,c_Tarski_Oglb(X0,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)),true),true),true),true)=true)),
% 0.10/0.38 inference(paramodulation,[status(thm)],[f17,f36])).
% 0.10/0.38 fof(f61,plain,(
% 0.10/0.38 ![X0,X1]: (ifeq(c_lessequals(X0,v_A,tc_set(t_a)),true,ifeq(true,true,ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(X1,X0,t_a),true,c_in(c_Pair(X1,c_Tarski_Oglb(X0,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)),true),true),true),true)=true)),
% 0.10/0.38 inference(forward_demodulation,[status(thm)],[f20,f59])).
% 0.10/0.38 fof(f62,plain,(
% 0.10/0.38 ![X0,X1]: (ifeq(c_lessequals(X0,v_A,tc_set(t_a)),true,ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),true,ifeq(c_in(X1,X0,t_a),true,c_in(c_Pair(X1,c_Tarski_Oglb(X0,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)),true),true),true)=true)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f13,f61])).
% 0.15/0.38 fof(f63,plain,(
% 0.15/0.38 ![X0,X1]: (ifeq(c_lessequals(X0,v_A,tc_set(t_a)),true,ifeq(true,true,ifeq(c_in(X1,X0,t_a),true,c_in(c_Pair(X1,c_Tarski_Oglb(X0,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)),true),true),true)=true)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f21,f62])).
% 0.15/0.38 fof(f64,plain,(
% 0.15/0.38 ![X0,X1]: (ifeq(c_lessequals(X0,v_A,tc_set(t_a)),true,ifeq(c_in(X1,X0,t_a),true,c_in(c_Pair(X1,c_Tarski_Oglb(X0,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)),true),true)=true)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f13,f63])).
% 0.15/0.38 fof(f67,plain,(
% 0.15/0.38 ifeq(c_lessequals(v_S,v_A,tc_set(t_a)),true,ifeq(true,true,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)),true),true)=true),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f15,f64])).
% 0.15/0.38 fof(f69,plain,(
% 0.15/0.38 ifeq(true,true,ifeq(true,true,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)),true),true)=true),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f14,f67])).
% 0.15/0.38 fof(f70,plain,(
% 0.15/0.38 ifeq(true,true,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)),true)=true),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f13,f69])).
% 0.15/0.38 fof(f71,plain,(
% 0.15/0.38 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))=true),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f13,f70])).
% 0.15/0.38 fof(f74,plain,(
% 0.15/0.38 ifeq(true,true,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)),true)=true),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f71,f38])).
% 0.15/0.38 fof(f90,plain,(
% 0.15/0.38 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))=true),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f13,f74])).
% 0.15/0.38 fof(f91,plain,(
% 0.15/0.38 $false),
% 0.15/0.38 inference(forward_subsumption_resolution,[status(thm)],[f90,f16])).
% 0.15/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 2.59/1.63 % Elapsed time: 1.034270 seconds
% 2.59/1.63 % CPU time: 0.035666 seconds
% 2.59/1.63 % Total memory used: 1.421 MB
% 2.59/1.63 % Net memory used: 1.415 MB
%------------------------------------------------------------------------------