%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SCT167+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 02:07:24 PM UTC 2026
% Result : Theorem 0.34s 0.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT167+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.47 % Computer : n007.cluster.edu
% 0.17/0.47 % Model : x86_64 x86_64
% 0.17/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.47 % Memory : 8046.5625MB
% 0.17/0.47 % OS : Linux 6.8.0-71-generic
% 0.17/0.47 % CPULimit : 300
% 0.17/0.47 % WCLimit : 300
% 0.17/0.47 % DateTime : Mon Sep 21 04:33:35 UTC 2026
% 0.17/0.48 % CPUTime :
% 0.22/0.60 % Drodi V4.1.1
% 0.34/0.74 % Refutation found
% 0.34/0.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.34/0.74 % SZS output start CNFRefutation for theBenchmark
% 0.34/0.74 fof(f369,axiom,(
% 0.34/0.74 (! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n )),
% 0.34/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.34/0.74 fof(f525,axiom,(
% 0.34/0.74 (! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P )),
% 0.34/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.34/0.74 fof(f527,axiom,(
% 0.34/0.74 (! [V_R_2,V_Q_2,V_Pa_2,T_c,T_a,T_b] : hAPP(hAPP(c_COMBB(T_b,T_a,T_c,V_Pa_2),V_Q_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Q_2,V_R_2)) )),
% 0.34/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.34/0.74 fof(f529,axiom,(
% 0.34/0.74 (! [V_R_2,V_Q_2,V_Pa_2,T_a,T_c,T_b] : hAPP(c_COMBS(T_b,T_c,T_a,V_Pa_2,V_Q_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Q_2,V_R_2)) )),
% 0.34/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.34/0.74 fof(f1757,plain,(
% 0.34/0.74 ![X0]: (~hAPP(c_Nat_OSuc,X0)=X0)),
% 0.34/0.74 inference(cnf_transformation,[status(thm)],[f369])).
% 0.34/0.74 fof(f2182,plain,(
% 0.34/0.74 ![X0,X1]: (hAPP(c_COMBI(X0),X1)=X1)),
% 0.34/0.74 inference(cnf_transformation,[status(thm)],[f525])).
% 0.34/0.74 fof(f2184,plain,(
% 0.34/0.74 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(c_COMBB(X0,X1,X2,X3),X4),X5)=hAPP(X3,hAPP(X4,X5)))),
% 0.34/0.74 inference(cnf_transformation,[status(thm)],[f527])).
% 0.34/0.74 fof(f2186,plain,(
% 0.34/0.74 ![X0,X1,X2,X3,X4,X5]: (hAPP(c_COMBS(X0,X1,X2,X3,X4),X5)=hAPP(hAPP(X3,X5),hAPP(X4,X5)))),
% 0.34/0.74 inference(cnf_transformation,[status(thm)],[f529])).
% 0.34/0.74 fof(f2551,plain,(
% 0.34/0.74 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,X6),X7),X8)=hAPP(X6,hAPP(X8,hAPP(X7,X8))))),
% 0.34/0.74 inference(paramodulation,[status(thm)],[f2184,f2186])).
% 0.34/0.74 fof(f2552,plain,(
% 0.34/0.74 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (hAPP(c_COMBS(X0,X1,X2,X3,X4),X5)=hAPP(c_COMBS(X6,X7,X8,X3,X4),X5))),
% 0.34/0.74 inference(paramodulation,[status(thm)],[f2186,f2186])).
% 0.34/0.74 fof(f2789,plain,(
% 0.34/0.74 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,c_Nat_OSuc),X6),X7)=hAPP(X7,hAPP(X6,X7)))),
% 0.34/0.74 inference(paramodulation,[status(thm)],[f2551,f1757])).
% 0.34/0.74 fof(f3368,plain,(
% 0.34/0.74 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~hAPP(c_COMBS(X0,X1,X2,c_COMBB(X3,X4,X5,c_Nat_OSuc),c_COMBI(X6)),X7)=hAPP(X7,X7))),
% 0.34/0.74 inference(paramodulation,[status(thm)],[f2182,f2789])).
% 0.34/0.74 fof(f3388,plain,(
% 0.34/0.74 $false),
% 0.34/0.74 inference(resolution,[status(thm)],[f3368,f2552])).
% 0.34/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 0.34/0.79 % Elapsed time: 0.295050 seconds
% 0.34/0.79 % CPU time: 0.964677 seconds
% 0.34/0.79 % Total memory used: 170.690 MB
% 0.34/0.79 % Net memory used: 169.819 MB
%------------------------------------------------------------------------------