%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV824-1 : 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 : n016.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 0.23s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV824-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n016.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 09:32:22 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.23/0.52 % Drodi V4.1.1
% 0.23/0.60 % Refutation found
% 0.23/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.60 fof(f636,axiom,(
% 0.23/0.60 (![V_c,V_s,V_n,V_s_H]: (( c_Natural_Oevaln(V_c,V_s,c_Suc(V_n),V_s_H)| ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) ) ))),
% 0.23/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.60 fof(f671,negated_conjecture,(
% 0.23/0.60 v_fun1(v_x,v_xa) ),
% 0.23/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.60 fof(f672,negated_conjecture,(
% 0.23/0.60 c_Natural_Oevaln(v_com,v_xa,v_n,v_xb) ),
% 0.23/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.60 fof(f673,negated_conjecture,(
% 0.23/0.60 ~ v_fun2(v_x,v_xb) ),
% 0.23/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.60 fof(f674,negated_conjecture,(
% 0.23/0.60 (![V_Z,V_s_H,V_s]: (( v_fun2(V_Z,V_s_H)| ~ c_Natural_Oevaln(v_com,V_s,c_Suc(v_n),V_s_H)| ~ v_fun1(V_Z,V_s) ) ))),
% 0.23/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.60 fof(f1740,plain,(
% 0.23/0.60 ![X0,X1,X2,X3]: (c_Natural_Oevaln(X0,X1,c_Suc(X2),X3)|~c_Natural_Oevaln(X0,X1,X2,X3))),
% 0.23/0.60 inference(cnf_transformation,[status(thm)],[f636])).
% 0.23/0.60 fof(f1781,plain,(
% 0.23/0.60 v_fun1(v_x,v_xa)),
% 0.23/0.60 inference(cnf_transformation,[status(thm)],[f671])).
% 0.23/0.60 fof(f1782,plain,(
% 0.23/0.60 c_Natural_Oevaln(v_com,v_xa,v_n,v_xb)),
% 0.23/0.60 inference(cnf_transformation,[status(thm)],[f672])).
% 0.23/0.60 fof(f1783,plain,(
% 0.23/0.60 ~v_fun2(v_x,v_xb)),
% 0.23/0.60 inference(cnf_transformation,[status(thm)],[f673])).
% 0.23/0.60 fof(f1784,plain,(
% 0.23/0.60 ![V_Z,V_s]: ((![V_s_H]: (v_fun2(V_Z,V_s_H)|~c_Natural_Oevaln(v_com,V_s,c_Suc(v_n),V_s_H)))|~v_fun1(V_Z,V_s))),
% 0.23/0.60 inference(miniscoping,[status(thm)],[f674])).
% 0.23/0.60 fof(f1785,plain,(
% 0.23/0.60 ![X0,X1,X2]: (v_fun2(X0,X1)|~c_Natural_Oevaln(v_com,X2,c_Suc(v_n),X1)|~v_fun1(X0,X2))),
% 0.23/0.60 inference(cnf_transformation,[status(thm)],[f1784])).
% 0.23/0.60 fof(f2128,plain,(
% 0.23/0.60 c_Natural_Oevaln(v_com,v_xa,c_Suc(v_n),v_xb)),
% 0.23/0.60 inference(resolution,[status(thm)],[f1740,f1782])).
% 0.23/0.60 fof(f2129,plain,(
% 0.23/0.60 ![X0]: (v_fun2(X0,v_xb)|~v_fun1(X0,v_xa))),
% 0.23/0.60 inference(resolution,[status(thm)],[f2128,f1785])).
% 0.23/0.60 fof(f2131,plain,(
% 0.23/0.60 v_fun2(v_x,v_xb)),
% 0.23/0.60 inference(resolution,[status(thm)],[f2129,f1781])).
% 0.23/0.60 fof(f2132,plain,(
% 0.23/0.60 $false),
% 0.23/0.60 inference(forward_subsumption_resolution,[status(thm)],[f2131,f1783])).
% 0.23/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.62 % Elapsed time: 0.160629 seconds
% 0.23/0.62 % CPU time: 0.567004 seconds
% 0.23/0.62 % Total memory used: 134.697 MB
% 0.23/0.62 % Net memory used: 134.184 MB
%------------------------------------------------------------------------------