%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : LAT281-2 : 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 : n009.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 01:03:30 PM UTC 2026
% Result : Unsatisfiable 0.16s 5.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT281-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.45 % Computer : n009.cluster.edu
% 0.16/5.45 % Model : x86_64 x86_64
% 0.16/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.45 % Memory : 8046.5625MB
% 0.16/5.45 % OS : Linux 6.8.0-71-generic
% 0.16/5.45 % CPULimit : 300
% 0.16/5.45 % WCLimit : 300
% 0.16/5.45 % DateTime : Sun Sep 20 23:26:02 UTC 2026
% 0.16/5.45 % CPUTime :
% 0.16/5.46 % Drodi V4.1.1
% 0.16/5.49 % Refutation found
% 0.16/5.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/5.49 % SZS output start CNFRefutation for theBenchmark
% 0.16/5.49 fof(f1,negated_conjecture,(
% 0.16/5.49 c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.16/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.49 fof(f2,negated_conjecture,(
% 0.16/5.49 c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.16/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.49 fof(f3,negated_conjecture,(
% 0.16/5.49 ~ c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 0.16/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.49 fof(f4,axiom,(
% 0.16/5.49 (![V_r,T_a,V_V,V_W,V_U]: (( ~ c_Relation_Otrans(V_r,T_a)| ~ c_in(c_Pair(V_V,V_W,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_in(c_Pair(V_U,V_V,T_a,T_a),V_r,tc_prod(T_a,T_a))| c_in(c_Pair(V_U,V_W,T_a,T_a),V_r,tc_prod(T_a,T_a)) ) ))),
% 0.16/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.49 fof(f5,axiom,(
% 0.16/5.49 (![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_Otrans(c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ) ))),
% 0.16/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.49 fof(f6,axiom,(
% 0.16/5.49 c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 0.16/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.49 fof(f7,axiom,(
% 0.16/5.49 v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
% 0.16/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/5.49 fof(f8,plain,(
% 0.16/5.49 c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.16/5.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.16/5.49 fof(f9,plain,(
% 0.16/5.49 c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.16/5.49 inference(cnf_transformation,[status(thm)],[f2])).
% 0.16/5.49 fof(f10,plain,(
% 0.16/5.49 ~c_in(c_Pair(v_a,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.16/5.49 inference(cnf_transformation,[status(thm)],[f3])).
% 0.16/5.49 fof(f11,plain,(
% 0.16/5.49 ![V_r,T_a,V_W,V_U]: ((![V_V]: ((~c_Relation_Otrans(V_r,T_a)|~c_in(c_Pair(V_V,V_W,T_a,T_a),V_r,tc_prod(T_a,T_a)))|~c_in(c_Pair(V_U,V_V,T_a,T_a),V_r,tc_prod(T_a,T_a))))|c_in(c_Pair(V_U,V_W,T_a,T_a),V_r,tc_prod(T_a,T_a)))),
% 0.16/5.49 inference(miniscoping,[status(thm)],[f4])).
% 0.16/5.49 fof(f12,plain,(
% 0.16/5.49 ![X0,X1,X2,X3,X4]: (~c_Relation_Otrans(X0,X1)|~c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))|~c_in(c_Pair(X4,X2,X1,X1),X0,tc_prod(X1,X1))|c_in(c_Pair(X4,X3,X1,X1),X0,tc_prod(X1,X1)))),
% 0.16/5.49 inference(cnf_transformation,[status(thm)],[f11])).
% 0.16/5.49 fof(f13,plain,(
% 0.16/5.49 ![X0,X1]: (~c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))|c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1))),
% 0.16/5.49 inference(cnf_transformation,[status(thm)],[f5])).
% 0.16/5.49 fof(f14,plain,(
% 0.16/5.49 c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 0.16/5.49 inference(cnf_transformation,[status(thm)],[f6])).
% 0.16/5.49 fof(f15,plain,(
% 0.16/5.49 v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),
% 0.16/5.49 inference(cnf_transformation,[status(thm)],[f7])).
% 0.16/5.49 fof(f16,plain,(
% 0.16/5.49 c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a)),
% 0.16/5.49 inference(resolution,[status(thm)],[f14,f13])).
% 0.16/5.49 fof(f17,plain,(
% 0.16/5.49 c_Relation_Otrans(v_r,t_a)),
% 0.16/5.49 inference(forward_demodulation,[status(thm)],[f15,f16])).
% 0.16/5.49 fof(f18,plain,(
% 0.16/5.49 ![X0,X1,X2]: (~c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(X2,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|c_in(c_Pair(X2,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.16/5.49 inference(resolution,[status(thm)],[f17,f12])).
% 0.16/5.49 fof(f19,plain,(
% 0.16/5.49 ![X0]: (~c_in(c_Pair(X0,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(v_a,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)))),
% 0.16/5.49 inference(resolution,[status(thm)],[f18,f10])).
% 0.16/5.49 fof(f20,plain,(
% 0.16/5.49 ~c_in(c_Pair(v_b,v_c,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 0.16/5.49 inference(resolution,[status(thm)],[f19,f8])).
% 0.16/5.49 fof(f22,plain,(
% 0.16/5.49 $false),
% 0.16/5.49 inference(forward_subsumption_resolution,[status(thm)],[f20,f9])).
% 0.16/5.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/5.51 % Elapsed time: 0.054625 seconds
% 0.21/5.51 % CPU time: 0.171383 seconds
% 0.21/5.51 % Total memory used: 66.439 MB
% 0.21/5.51 % Net memory used: 65.876 MB
%------------------------------------------------------------------------------