%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT277-2 : 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 : n010.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 01:03:29 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT277-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 23:25:10 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.39 fof(f1,negated_conjecture,(
% 0.10/0.39 c_in(v_x,v_A,t_a) ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f2,negated_conjecture,(
% 0.10/0.39 ~ c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f3,axiom,(
% 0.10/0.39 (![V_A,V_r,T_a,V_a]: (( ~ c_Relation_Orefl(V_A,V_r,T_a)| ~ c_in(V_a,V_A,T_a)| c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f4,axiom,(
% 0.10/0.39 v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f5,axiom,(
% 0.10/0.39 (![V_P,T_a]: (( ~ c_in(V_P,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(T_a,tc_Product__Type_Ounit))| c_Relation_Orefl(c_Tarski_Opotype_Opset(V_P,T_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ) ))),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f6,axiom,(
% 0.10/0.39 c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f7,axiom,(
% 0.10/0.39 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.10/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.39 fof(f8,plain,(
% 0.10/0.39 c_in(v_x,v_A,t_a)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.39 fof(f9,plain,(
% 0.10/0.39 ~c_in(c_Pair(v_x,v_x,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.39 fof(f10,plain,(
% 0.10/0.39 ![V_r,T_a,V_a]: ((![V_A]: (~c_Relation_Orefl(V_A,V_r,T_a)|~c_in(V_a,V_A,T_a)))|c_in(c_Pair(V_a,V_a,T_a,T_a),V_r,tc_prod(T_a,T_a)))),
% 0.10/0.39 inference(miniscoping,[status(thm)],[f3])).
% 0.10/0.39 fof(f11,plain,(
% 0.10/0.39 ![X0,X1,X2,X3]: (~c_Relation_Orefl(X0,X1,X2)|~c_in(X3,X0,X2)|c_in(c_Pair(X3,X3,X2,X2),X1,tc_prod(X2,X2)))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.10/0.39 fof(f12,plain,(
% 0.10/0.39 v_A=c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.39 fof(f13,plain,(
% 0.10/0.39 ![X0,X1]: (~c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))|c_Relation_Orefl(c_Tarski_Opotype_Opset(X0,X1,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.39 fof(f14,plain,(
% 0.10/0.39 c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.39 fof(f15,plain,(
% 0.10/0.39 v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.10/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.39 fof(f16,plain,(
% 0.10/0.39 c_Relation_Orefl(c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)),
% 0.10/0.39 inference(resolution,[status(thm)],[f14,f13])).
% 0.10/0.39 fof(f17,plain,(
% 0.10/0.39 c_Relation_Orefl(v_A,c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f12,f16])).
% 0.10/0.39 fof(f18,plain,(
% 0.10/0.39 c_Relation_Orefl(v_A,v_r,t_a)),
% 0.10/0.39 inference(forward_demodulation,[status(thm)],[f15,f17])).
% 0.10/0.39 fof(f19,plain,(
% 0.10/0.39 ![X0]: (~c_in(X0,v_A,t_a)|c_in(c_Pair(X0,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.10/0.39 inference(resolution,[status(thm)],[f18,f11])).
% 0.10/0.39 fof(f20,plain,(
% 0.10/0.39 ~c_in(v_x,v_A,t_a)),
% 0.10/0.39 inference(resolution,[status(thm)],[f19,f9])).
% 0.10/0.39 fof(f21,plain,(
% 0.10/0.39 $false),
% 0.10/0.39 inference(forward_subsumption_resolution,[status(thm)],[f20,f8])).
% 0.10/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.42 % Elapsed time: 0.043202 seconds
% 0.10/0.42 % CPU time: 0.131807 seconds
% 0.10/0.42 % Total memory used: 51.869 MB
% 0.10/0.42 % Net memory used: 51.436 MB
%------------------------------------------------------------------------------