%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWW297+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 : n002.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 03:08:56 PM UTC 2026
% Result : Theorem 0.83s 1.24s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW297+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
% 0.08/0.34 % Computer : n002.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 09:48:47 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.66/1.02 % Drodi V4.1.1
% 0.83/1.24 % Refutation found
% 0.83/1.24 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.83/1.24 % SZS output start CNFRefutation for theBenchmark
% 0.83/1.24 fof(f2,axiom,(
% 0.83/1.24 (! [V_s_H,V_n,V_s,V_c] :( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)=> c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) )),
% 0.83/1.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.83/1.24 fof(f5225,conjecture,(
% 0.83/1.24 ( (! [B_Z,B_s] :( v_fun1(B_Z,B_s)=> (! [B_s_H] :( c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H)=> v_fun2(B_Z,B_s_H) ) )))=> (! [B_Z,B_s] :( v_fun1(B_Z,B_s)=> (! [B_s_H] :( c_Natural_Oevaln(v_com,B_s,v_n,B_s_H)=> v_fun2(B_Z,B_s_H) ) )) )) ),
% 0.83/1.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.83/1.24 fof(f5226,negated_conjecture,(
% 0.83/1.24 ~(( (! [B_Z,B_s] :( v_fun1(B_Z,B_s)=> (! [B_s_H] :( c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H)=> v_fun2(B_Z,B_s_H) ) )))=> (! [B_Z,B_s] :( v_fun1(B_Z,B_s)=> (! [B_s_H] :( c_Natural_Oevaln(v_com,B_s,v_n,B_s_H)=> v_fun2(B_Z,B_s_H) ) )) )) )),
% 0.83/1.24 inference(negated_conjecture,[status(cth)],[f5225])).
% 0.83/1.24 fof(f5230,plain,(
% 0.83/1.24 ![V_s_H,V_n,V_s,V_c]: (~c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)|c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H))),
% 0.83/1.24 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.83/1.24 fof(f5231,plain,(
% 0.83/1.24 ![X0,X1,X2,X3]: (~c_Natural_Oevaln(X0,X1,X2,X3)|c_Natural_Oevaln(X0,X1,hAPP(c_Nat_OSuc,X2),X3))),
% 0.83/1.24 inference(cnf_transformation,[status(thm)],[f5230])).
% 0.83/1.24 fof(f20138,plain,(
% 0.83/1.24 ((![B_Z,B_s]: (~v_fun1(B_Z,B_s)|(![B_s_H]: (~c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H)|v_fun2(B_Z,B_s_H)))))&(?[B_Z,B_s]: (v_fun1(B_Z,B_s)&(?[B_s_H]: (c_Natural_Oevaln(v_com,B_s,v_n,B_s_H)&~v_fun2(B_Z,B_s_H))))))),
% 0.83/1.24 inference(pre_NNF_transformation,[status(thm)],[f5226])).
% 0.83/1.24 fof(f20139,plain,(
% 0.83/1.24 (![B_Z,B_s]: (~v_fun1(B_Z,B_s)|(![B_s_H]: (~c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H)|v_fun2(B_Z,B_s_H)))))&(v_fun1(sK554_skl,sK555_skl)&(c_Natural_Oevaln(v_com,sK555_skl,v_n,sK556_skl)&~v_fun2(sK554_skl,sK556_skl)))),
% 0.83/1.24 inference(skolemize,[status(esa),new_symbols(skolem,[sK554_skl,sK555_skl,sK556_skl]),skolemize(B_Z,sK554_skl),skolemize(B_s,sK555_skl),skolemize(B_s_H,sK556_skl)],[f20138])).
% 0.83/1.24 fof(f20140,plain,(
% 0.83/1.24 ![X0,X1,X2]: (~v_fun1(X0,X1)|~c_Natural_Oevaln(v_com,X1,hAPP(c_Nat_OSuc,v_n),X2)|v_fun2(X0,X2))),
% 0.83/1.24 inference(cnf_transformation,[status(thm)],[f20139])).
% 0.83/1.24 fof(f20141,plain,(
% 0.83/1.24 v_fun1(sK554_skl,sK555_skl)),
% 0.83/1.24 inference(cnf_transformation,[status(thm)],[f20139])).
% 0.83/1.24 fof(f20142,plain,(
% 0.83/1.24 c_Natural_Oevaln(v_com,sK555_skl,v_n,sK556_skl)),
% 0.83/1.24 inference(cnf_transformation,[status(thm)],[f20139])).
% 0.83/1.24 fof(f20143,plain,(
% 0.83/1.24 ~v_fun2(sK554_skl,sK556_skl)),
% 0.83/1.24 inference(cnf_transformation,[status(thm)],[f20139])).
% 0.83/1.24 fof(f20956,plain,(
% 0.83/1.24 ![X0]: (~v_fun1(sK554_skl,X0)|~c_Natural_Oevaln(v_com,X0,hAPP(c_Nat_OSuc,v_n),sK556_skl))),
% 0.83/1.24 inference(resolution,[status(thm)],[f20143,f20140])).
% 0.83/1.24 fof(f20957,plain,(
% 0.83/1.24 ~c_Natural_Oevaln(v_com,sK555_skl,hAPP(c_Nat_OSuc,v_n),sK556_skl)),
% 0.83/1.24 inference(resolution,[status(thm)],[f20956,f20141])).
% 0.83/1.24 fof(f20958,plain,(
% 0.83/1.24 ~c_Natural_Oevaln(v_com,sK555_skl,v_n,sK556_skl)),
% 0.83/1.24 inference(resolution,[status(thm)],[f20957,f5231])).
% 0.83/1.24 fof(f20959,plain,(
% 0.83/1.24 $false),
% 0.83/1.24 inference(forward_subsumption_resolution,[status(thm)],[f20958,f20142])).
% 0.83/1.24 % SZS output end CNFRefutation for theBenchmark.p
% 0.83/1.28 % Elapsed time: 0.919792 seconds
% 0.83/1.28 % CPU time: 1.946939 seconds
% 0.83/1.28 % Total memory used: 665.598 MB
% 0.83/1.28 % Net memory used: 659.476 MB
%------------------------------------------------------------------------------