%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV823-1 : TPTP v9.3.1. Released v4.1.0.
% 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 02:53:13 PM UTC 2026
% Result : Unsatisfiable 141.48s 18.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV823-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n011.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 09:27:40 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.32/0.57 % Drodi V4.1.1
% 141.48/18.56 % Refutation found
% 141.48/18.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 141.48/18.56 % SZS output start CNFRefutation for theBenchmark
% 141.48/18.56 fof(f42,axiom,(
% 141.48/18.56 (![V_m,V_n]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_n),V_m) ))),
% 141.48/18.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 141.48/18.56 fof(f152,axiom,(
% 141.48/18.56 (![V_m,V_n]: (( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n) != V_m| V_n = c_HOL_Ozero__class_Ozero(tc_nat) ) ))),
% 141.48/18.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 141.48/18.56 fof(f694,axiom,(
% 141.48/18.56 (![T_a,V_x]: (hAPP(c_Fun_Oid(T_a),V_x) = V_x ))),
% 141.48/18.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 141.48/18.56 fof(f739,axiom,(
% 141.48/18.56 (![V_m]: (hAPP(c_Suc,V_m) != c_HOL_Ozero__class_Ozero(tc_nat) ))),
% 141.48/18.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 141.48/18.56 fof(f853,axiom,(
% 141.48/18.56 (![V_m,V_n]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),hAPP(c_Suc,V_n)) = hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)) ))),
% 141.48/18.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 141.48/18.56 fof(f940,axiom,(
% 141.48/18.56 (![T_b,T_a,T_c,V_P,V_Q,V_R]: (hAPP(hAPP(hAPP(c_COMBB(T_b,T_a,T_c),V_P),V_Q),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ))),
% 141.48/18.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 141.48/18.56 fof(f942,axiom,(
% 141.48/18.56 (![T_b,T_c,T_a,V_P,V_Q,V_R]: (hAPP(hAPP(hAPP(c_COMBS(T_b,T_c,T_a),V_P),V_Q),V_R) = hAPP(hAPP(V_P,V_R),hAPP(V_Q,V_R)) ))),
% 141.48/18.56 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 141.48/18.56 fof(f1064,plain,(
% 141.48/18.56 ![X0,X1]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)=hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0))),
% 141.48/18.56 inference(cnf_transformation,[status(thm)],[f42])).
% 141.48/18.56 fof(f1235,plain,(
% 141.48/18.56 ![V_n]: ((![V_m]: ~hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),V_m),V_n)=V_m)|V_n=c_HOL_Ozero__class_Ozero(tc_nat))),
% 141.48/18.56 inference(miniscoping,[status(thm)],[f152])).
% 141.48/18.56 fof(f1236,plain,(
% 141.48/18.56 ![X0,X1]: (~hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)=X0|X1=c_HOL_Ozero__class_Ozero(tc_nat))),
% 141.48/18.56 inference(cnf_transformation,[status(thm)],[f1235])).
% 141.48/18.56 fof(f2144,plain,(
% 141.48/18.56 ![X0,X1]: (hAPP(c_Fun_Oid(X0),X1)=X1)),
% 141.48/18.56 inference(cnf_transformation,[status(thm)],[f694])).
% 141.48/18.56 fof(f2208,plain,(
% 141.48/18.56 ![X0]: (~hAPP(c_Suc,X0)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 141.48/18.56 inference(cnf_transformation,[status(thm)],[f739])).
% 141.48/18.56 fof(f2381,plain,(
% 141.48/18.56 ![X0,X1]: (hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(c_Suc,X1))=hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)))),
% 141.48/18.56 inference(cnf_transformation,[status(thm)],[f853])).
% 141.48/18.56 fof(f2508,plain,(
% 141.48/18.56 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5)=hAPP(X3,hAPP(X4,X5)))),
% 141.48/18.56 inference(cnf_transformation,[status(thm)],[f940])).
% 141.48/18.56 fof(f2510,plain,(
% 141.48/18.56 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5)=hAPP(hAPP(X3,X5),hAPP(X4,X5)))),
% 141.48/18.56 inference(cnf_transformation,[status(thm)],[f942])).
% 141.48/18.56 fof(f3467,plain,(
% 141.48/18.56 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),c_Fun_Oid(X4)),X5)=hAPP(hAPP(X3,X5),X5))),
% 141.48/18.56 inference(paramodulation,[status(thm)],[f2144,f2510])).
% 141.48/18.56 fof(f7796,plain,(
% 141.48/18.56 ![X0,X1]: (~hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1))=X0|hAPP(c_Suc,X1)=c_HOL_Ozero__class_Ozero(tc_nat))),
% 141.48/18.56 inference(paramodulation,[status(thm)],[f2381,f1236])).
% 141.48/18.56 fof(f7823,plain,(
% 141.48/18.56 ![X0,X1]: (~hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1))=X0)),
% 141.48/18.56 inference(forward_subsumption_resolution,[status(thm)],[f7796,f2208])).
% 141.48/18.56 fof(f9831,plain,(
% 141.48/18.56 ![X0,X1]: (~hAPP(c_Suc,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1))=X1)),
% 141.48/18.56 inference(paramodulation,[status(thm)],[f1064,f7823])).
% 141.48/18.56 fof(f9851,plain,(
% 141.48/18.56 ![X0,X1]: (~hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)=X1|X0=c_HOL_Ozero__class_Ozero(tc_nat))),
% 141.48/18.56 inference(paramodulation,[status(thm)],[f1064,f1236])).
% 141.48/18.56 fof(f9913,plain,(
% 141.48/18.56 ![X0,X1,X2,X3,X4]: (~hAPP(c_Suc,hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_HOL_Oplus__class_Oplus(tc_nat)),X3),X4))=hAPP(X3,X4))),
% 141.48/18.56 inference(paramodulation,[status(thm)],[f2510,f9831])).
% 141.48/18.56 fof(f10008,plain,(
% 141.48/18.56 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~hAPP(c_Suc,hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_HOL_Oplus__class_Oplus(tc_nat))),c_Fun_Oid(X6)),X7))=hAPP(X7,X7))),
% 82.22/18.77 inference(paramodulation,[status(thm)],[f3467,f9913])).
% 82.22/18.77 fof(f10360,plain,(
% 82.22/18.77 ![X0,X1,X2,X3,X4]: (~hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_HOL_Oplus__class_Oplus(tc_nat)),X3),X4)=hAPP(X3,X4)|X4=c_HOL_Ozero__class_Ozero(tc_nat))),
% 82.22/18.77 inference(paramodulation,[status(thm)],[f2510,f9851])).
% 82.22/18.77 fof(f10382,plain,(
% 82.22/18.77 ![X0,X1,X2,X3,X4,X5,X6]: (hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_HOL_Oplus__class_Oplus(tc_nat))),c_Fun_Oid(X6))=c_HOL_Ozero__class_Ozero(tc_nat))),
% 82.22/18.77 inference(resolution,[status(thm)],[f10360,f3467])).
% 82.22/18.77 fof(f10418,plain,(
% 82.22/18.77 ![X0]: (~hAPP(c_Suc,hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X0))=hAPP(X0,X0))),
% 82.22/18.77 inference(backward_demodulation,[status(thm)],[f10382,f10008])).
% 82.22/18.77 fof(f10602,plain,(
% 82.22/18.77 $false),
% 82.22/18.77 inference(resolution,[status(thm)],[f10418,f2508])).
% 82.22/18.77 % SZS output end CNFRefutation for theBenchmark.p
% 10.76/18.87 % Elapsed time: 18.420137 seconds
% 10.76/18.87 % CPU time: 144.286150 seconds
% 10.76/18.87 % Total memory used: 1.321 GB
% 10.76/18.87 % Net memory used: 1.285 GB
%------------------------------------------------------------------------------