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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWW378+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n014.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 03:09:03 PM UTC 2026

% Result   : Theorem 31.79s 5.10s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW378+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.38  % Computer : n014.cluster.edu
% 0.10/0.38  % Model    : x86_64 x86_64
% 0.10/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38  % Memory   : 8046.5625MB
% 0.10/0.38  % OS       : Linux 6.8.0-71-generic
% 0.10/0.38  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Mon Sep 21 09:50:04 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.77/1.07  % Drodi V4.1.1
% 31.79/5.10  % Refutation found
% 31.79/5.10  % SZS status Theorem for theBenchmark: Theorem is valid
% 31.79/5.10  % SZS output start CNFRefutation for theBenchmark
% 31.79/5.10  fof(f3867,axiom,(
% 31.79/5.10    (! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )),
% 31.79/5.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.79/5.10  fof(f5222,axiom,(
% 31.79/5.10    (! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P )),
% 31.79/5.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.79/5.10  fof(f5226,axiom,(
% 31.79/5.10    (! [V_R_2,V_Q_2,V_P_2,T_a,T_c,T_b] : hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P_2),V_Q_2),V_R_2) = hAPP(hAPP(V_P_2,V_R_2),hAPP(V_Q_2,V_R_2)) )),
% 31.79/5.10    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.79/5.10  fof(f16731,plain,(
% 31.79/5.10    ![X0,X1,X2]: (~X0=hAPP(hAPP(c_List_Olist_OCons(X1),X2),X0))),
% 31.79/5.10    inference(cnf_transformation,[status(thm)],[f3867])).
% 31.79/5.10  fof(f19948,plain,(
% 31.79/5.10    ![X0,X1]: (hAPP(c_COMBI(X0),X1)=X1)),
% 31.79/5.10    inference(cnf_transformation,[status(thm)],[f5222])).
% 31.79/5.10  fof(f19952,plain,(
% 31.79/5.10    ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5)=hAPP(hAPP(X3,X5),hAPP(X4,X5)))),
% 31.79/5.10    inference(cnf_transformation,[status(thm)],[f5226])).
% 31.79/5.10  fof(f21161,plain,(
% 31.79/5.10    ![X0,X1,X2,X3,X4,X5]: (~hAPP(X0,X1)=hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),c_List_Olist_OCons(X5)),X0),X1))),
% 31.79/5.10    inference(paramodulation,[status(thm)],[f19952,f16731])).
% 31.79/5.10  fof(f21180,plain,(
% 31.79/5.10    ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~hAPP(X0,hAPP(X1,X0))=hAPP(hAPP(hAPP(c_COMBS(X2,X3,X4),hAPP(c_COMBS(X5,X6,X7),c_List_Olist_OCons(X8))),X1),X0))),
% 31.79/5.10    inference(paramodulation,[status(thm)],[f19952,f21161])).
% 31.79/5.10  fof(f21195,plain,(
% 31.79/5.10    ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~hAPP(X0,X0)=hAPP(hAPP(hAPP(c_COMBS(X1,X2,X3),hAPP(c_COMBS(X4,X5,X6),c_List_Olist_OCons(X7))),c_COMBI(X8)),X0))),
% 31.79/5.10    inference(paramodulation,[status(thm)],[f19948,f21180])).
% 31.79/5.10  fof(f21224,plain,(
% 31.79/5.10    $false),
% 31.79/5.10    inference(equality_resolution,[status(thm)],[f21195])).
% 31.79/5.10  % SZS output end CNFRefutation for theBenchmark.p
% 16.74/5.20  % Elapsed time: 4.796378 seconds
% 16.74/5.20  % CPU time: 32.337542 seconds
% 16.74/5.20  % Total memory used: 911.069 MB
% 16.74/5.20  % Net memory used: 901.234 MB
%------------------------------------------------------------------------------