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Drodi-SAT---4.1.1.UNS-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : LAT259-1 : 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 : n013.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 01:03:25 PM UTC 2026

% Result   : Unsatisfiable 93.37s 20.70s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LAT259-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.39  % Computer : n013.cluster.edu
% 0.10/5.39  % Model    : x86_64 x86_64
% 0.10/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39  % Memory   : 8046.5625MB
% 0.10/5.39  % OS       : Linux 6.8.0-71-generic
% 0.10/5.39  % CPULimit : 300
% 0.10/5.39  % WCLimit  : 300
% 0.10/5.39  % DateTime : Sun Sep 20 23:23:07 UTC 2026
% 0.10/5.39  % CPUTime  : 
% 0.17/5.58  % Drodi V4.1.1
% 93.37/20.70  % Refutation found
% 93.37/20.70  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 93.37/20.70  % SZS output start CNFRefutation for theBenchmark
% 93.37/20.70  fof(f2737,axiom,(
% 93.37/20.70    (![V_r,T_a,V_V,V_U]: (( ~ c_Relation_Oantisym(V_r,T_a)| ~ c_in(c_Pair(V_V,V_U,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))| V_U = V_V ) ))),
% 93.37/20.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.37/20.70  fof(f2743,axiom,(
% 93.37/20.70    (![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_Oantisym(c_Tarski_Opotype_Oorder(V_P,T_a,tc_Product__Type_Ounit),T_a) ) ))),
% 93.37/20.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.37/20.70  fof(f2746,axiom,(
% 93.37/20.70    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)) ),
% 93.37/20.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.37/20.70  fof(f2747,axiom,(
% 93.37/20.70    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit) ),
% 93.37/20.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.37/20.70  fof(f2748,negated_conjecture,(
% 93.37/20.70    c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 93.37/20.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.37/20.70  fof(f2749,negated_conjecture,(
% 93.37/20.70    c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a)) ),
% 93.37/20.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.37/20.70  fof(f2750,negated_conjecture,(
% 93.37/20.70    v_a != v_b ),
% 93.37/20.70    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 93.37/20.70  fof(f6104,plain,(
% 93.37/20.70    ![V_V,V_U]: ((![V_r,T_a]: ((~c_Relation_Oantisym(V_r,T_a)|~c_in(c_Pair(V_V,V_U,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))))|V_U=V_V)),
% 93.37/20.70    inference(miniscoping,[status(thm)],[f2737])).
% 93.37/20.70  fof(f6105,plain,(
% 93.37/20.70    ![X0,X1,X2,X3]: (~c_Relation_Oantisym(X0,X1)|~c_in(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1))|~c_in(c_Pair(X3,X2,X1,X1),X0,tc_prod(X1,X1))|X3=X2)),
% 93.37/20.70    inference(cnf_transformation,[status(thm)],[f6104])).
% 93.37/20.70  fof(f6111,plain,(
% 93.37/20.70    ![X0,X1]: (~c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))|c_Relation_Oantisym(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1))),
% 93.37/20.70    inference(cnf_transformation,[status(thm)],[f2743])).
% 93.37/20.70  fof(f6114,plain,(
% 93.37/20.70    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))),
% 93.37/20.70    inference(cnf_transformation,[status(thm)],[f2746])).
% 93.37/20.70  fof(f6115,plain,(
% 93.37/20.70    v_r=c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit)),
% 93.37/20.70    inference(cnf_transformation,[status(thm)],[f2747])).
% 93.37/20.70  fof(f6116,plain,(
% 93.37/20.70    c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 93.37/20.70    inference(cnf_transformation,[status(thm)],[f2748])).
% 93.37/20.70  fof(f6117,plain,(
% 93.37/20.70    c_in(c_Pair(v_b,v_a,t_a,t_a),v_r,tc_prod(t_a,t_a))),
% 93.37/20.70    inference(cnf_transformation,[status(thm)],[f2749])).
% 93.37/20.70  fof(f6118,plain,(
% 93.37/20.70    ~v_a=v_b),
% 93.37/20.70    inference(cnf_transformation,[status(thm)],[f2750])).
% 93.37/20.70  fof(f51134,plain,(
% 93.37/20.70    ~c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit))|c_Relation_Oantisym(v_r,t_a)),
% 93.37/20.70    inference(paramodulation,[status(thm)],[f6115,f6111])).
% 93.37/20.70  fof(f51227,plain,(
% 93.37/20.70    c_Relation_Oantisym(v_r,t_a)),
% 93.37/20.70    inference(forward_subsumption_resolution,[status(thm)],[f51134,f6114])).
% 93.37/20.70  fof(f51228,plain,(
% 93.37/20.70    ![X0,X1]: (~c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))|~c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a))|X1=X0)),
% 93.37/20.70    inference(resolution,[status(thm)],[f51227,f6105])).
% 93.37/20.70  fof(f51499,plain,(
% 93.37/20.70    ~c_in(c_Pair(v_a,v_b,t_a,t_a),v_r,tc_prod(t_a,t_a))|v_b=v_a),
% 93.37/20.70    inference(resolution,[status(thm)],[f51228,f6117])).
% 93.37/20.70  fof(f51504,plain,(
% 93.37/20.70    v_b=v_a),
% 93.37/20.70    inference(forward_subsumption_resolution,[status(thm)],[f51499,f6116])).
% 93.37/20.70  fof(f51506,plain,(
% 93.37/20.70    $false),
% 93.37/20.70    inference(forward_subsumption_resolution,[status(thm)],[f51504,f6118])).
% 93.37/20.70  % SZS output end CNFRefutation for theBenchmark.p
% 11.56/20.74  % Elapsed time: 15.322744 seconds
% 11.56/20.74  % CPU time: 119.502335 seconds
% 11.56/20.74  % Total memory used: 892.132 MB
% 11.56/20.74  % Net memory used: 869.713 MB
%------------------------------------------------------------------------------