%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SCT138+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 : n015.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 02:07:21 PM UTC 2026
% Result : Theorem 10.87s 2.11s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT138+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.34 % Computer : n015.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Mon Sep 21 04:36:50 UTC 2026
% 0.06/0.35 % CPUTime :
% 0.12/0.46 % Drodi V4.1.1
% 10.87/2.11 % Refutation found
% 10.87/2.11 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.87/2.11 % SZS output start CNFRefutation for theBenchmark
% 10.87/2.11 fof(f1,axiom,(
% 10.87/2.11 (! [V_g_2,V_f_2] :( (! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x))=> V_f_2 = V_g_2 ) )),
% 10.87/2.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.87/2.11 fof(f35,axiom,(
% 10.87/2.11 (! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs )),
% 10.87/2.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.87/2.11 fof(f511,axiom,(
% 10.87/2.11 (! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P )),
% 10.87/2.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.87/2.11 fof(f513,axiom,(
% 10.87/2.11 (! [V_R_2,V_Q_2,V_Pa_2,T_c,T_a,T_b] : hAPP(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)) )),
% 10.87/2.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.87/2.11 fof(f515,axiom,(
% 10.87/2.11 (! [V_R_2,V_Q_2,V_Pa_2,T_a,T_c,T_b] : hAPP(hAPP(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)) )),
% 10.87/2.11 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 10.87/2.11 fof(f525,plain,(
% 10.87/2.11 ![V_g_2,V_f_2]: ((?[B_x]: ~hAPP(V_f_2,B_x)=hAPP(V_g_2,B_x))|V_f_2=V_g_2)),
% 10.87/2.11 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 10.87/2.11 fof(f526,plain,(
% 10.87/2.11 ![V_g_2,V_f_2]: (~hAPP(V_f_2,sK0_skl(V_f_2,V_g_2))=hAPP(V_g_2,sK0_skl(V_f_2,V_g_2))|V_f_2=V_g_2)),
% 10.87/2.11 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B_x,sK0_skl(V_f_2,V_g_2))],[f525])).
% 10.87/2.11 fof(f527,plain,(
% 10.87/2.11 ![X0,X1]: (~hAPP(X0,sK0_skl(X0,X1))=hAPP(X1,sK0_skl(X0,X1))|X0=X1)),
% 10.87/2.11 inference(cnf_transformation,[status(thm)],[f526])).
% 10.87/2.11 fof(f659,plain,(
% 10.87/2.11 ![X0,X1,X2]: (~hAPP(hAPP(c_List_Olist_OCons(X0),X1),X2)=X2)),
% 10.87/2.11 inference(cnf_transformation,[status(thm)],[f35])).
% 10.87/2.11 fof(f2172,plain,(
% 10.87/2.11 ![X0,X1]: (hAPP(c_COMBI(X0),X1)=X1)),
% 10.87/2.11 inference(cnf_transformation,[status(thm)],[f511])).
% 10.87/2.11 fof(f2174,plain,(
% 10.87/2.11 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBB(X0,X1,X2),X3),X4),X5)=hAPP(X3,hAPP(X4,X5)))),
% 10.87/2.11 inference(cnf_transformation,[status(thm)],[f513])).
% 10.87/2.11 fof(f2176,plain,(
% 10.87/2.11 ![X0,X1,X2,X3,X4,X5]: (hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),X3),X4),X5)=hAPP(hAPP(X3,X5),hAPP(X4,X5)))),
% 10.87/2.11 inference(cnf_transformation,[status(thm)],[f515])).
% 10.87/2.11 fof(f2322,plain,(
% 10.87/2.11 ![X0,X1,X2,X3,X4,X5]: (~hAPP(X0,hAPP(X1,sK0_skl(hAPP(hAPP(c_COMBB(X2,X3,X4),X0),X1),X5)))=hAPP(X5,sK0_skl(hAPP(hAPP(c_COMBB(X2,X3,X4),X0),X1),X5))|hAPP(hAPP(c_COMBB(X2,X3,X4),X0),X1)=X5)),
% 10.87/2.11 inference(paramodulation,[status(thm)],[f2174,f527])).
% 10.87/2.11 fof(f2328,plain,(
% 10.87/2.11 ![X0,X1,X2,X3,X4]: (hAPP(hAPP(c_COMBB(X0,X1,X2),c_COMBI(X3)),X4)=X4)),
% 10.87/2.11 inference(resolution,[status(thm)],[f2322,f2172])).
% 10.87/2.11 fof(f2861,plain,(
% 10.87/2.11 ![X0,X1,X2,X3,X4,X5]: (~hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),c_List_Olist_OCons(X3)),X4),X5)=hAPP(X4,X5))),
% 10.87/2.11 inference(paramodulation,[status(thm)],[f2176,f659])).
% 10.87/2.11 fof(f2907,plain,(
% 10.87/2.11 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (~hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_List_Olist_OCons(X6))),X7),X8)=hAPP(X8,hAPP(X7,X8)))),
% 10.87/2.11 inference(paramodulation,[status(thm)],[f2176,f2861])).
% 10.87/2.11 fof(f4890,plain,(
% 10.87/2.11 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11]: (~hAPP(hAPP(hAPP(c_COMBS(X0,X1,X2),hAPP(c_COMBS(X3,X4,X5),c_List_Olist_OCons(X6))),hAPP(c_COMBB(X7,X8,X9),c_COMBI(X10))),X11)=hAPP(X11,X11))),
% 10.87/2.11 inference(paramodulation,[status(thm)],[f2328,f2907])).
% 10.87/2.11 fof(f5175,plain,(
% 10.87/2.11 $false),
% 10.87/2.11 inference(equality_resolution,[status(thm)],[f4890])).
% 10.87/2.11 % SZS output end CNFRefutation for theBenchmark.p
% 2.19/2.16 % Elapsed time: 1.790891 seconds
% 2.19/2.16 % CPU time: 12.752177 seconds
% 2.19/2.16 % Total memory used: 269.286 MB
% 2.19/2.16 % Net memory used: 265.651 MB
%------------------------------------------------------------------------------