%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:53:16 PM UTC 2026
% Result : Unsatisfiable 0.24s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV861-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.43 % Computer : n019.cluster.edu
% 0.13/0.43 % Model : x86_64 x86_64
% 0.13/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43 % Memory : 8046.5625MB
% 0.13/0.43 % OS : Linux 6.8.0-71-generic
% 0.13/0.43 % CPULimit : 300
% 0.13/0.43 % WCLimit : 300
% 0.13/0.43 % DateTime : Mon Sep 21 09:29:04 UTC 2026
% 0.13/0.43 % CPUTime :
% 0.13/0.47 % Drodi V4.1.1
% 0.24/0.50 % Refutation found
% 0.24/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.24/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.24/0.50 fof(f569,negated_conjecture,(
% 0.24/0.50 hBOOL(hAPP(hAPP(v_P,v_Z),v_s)) ),
% 0.24/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.50 fof(f570,negated_conjecture,(
% 0.24/0.50 c_Natural_Oevaln(v_c,v_s,v_n,v_s1) ),
% 0.24/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.50 fof(f571,negated_conjecture,(
% 0.24/0.50 c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H) ),
% 0.24/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.50 fof(f572,negated_conjecture,(
% 0.24/0.50 ~ hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H)) ),
% 0.24/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.50 fof(f574,negated_conjecture,(
% 0.24/0.50 (![V_Z,V_s_H,V_s]: (( hBOOL(hAPP(hAPP(v_Q,V_Z),V_s_H))| ~ c_Natural_Oevaln(v_c,V_s,v_n,V_s_H)| ~ hBOOL(hAPP(hAPP(v_P,V_Z),V_s)) ) ))),
% 0.24/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.50 fof(f575,negated_conjecture,(
% 0.24/0.50 (![V_Z,V_s_H,V_s]: (( hBOOL(hAPP(hAPP(v_R,V_Z),V_s_H))| ~ c_Natural_Oevaln(v_d,V_s,v_n,V_s_H)| ~ hBOOL(hAPP(hAPP(v_Q,V_Z),V_s)) ) ))),
% 0.24/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.24/0.50 fof(f1510,plain,(
% 0.24/0.50 hBOOL(hAPP(hAPP(v_P,v_Z),v_s))),
% 0.24/0.50 inference(cnf_transformation,[status(thm)],[f569])).
% 0.24/0.50 fof(f1511,plain,(
% 0.24/0.50 c_Natural_Oevaln(v_c,v_s,v_n,v_s1)),
% 0.24/0.50 inference(cnf_transformation,[status(thm)],[f570])).
% 0.24/0.50 fof(f1512,plain,(
% 0.24/0.50 c_Natural_Oevaln(v_d,v_s1,v_n,v_s_H)),
% 0.24/0.50 inference(cnf_transformation,[status(thm)],[f571])).
% 0.24/0.50 fof(f1513,plain,(
% 0.24/0.50 ~hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H))),
% 0.24/0.50 inference(cnf_transformation,[status(thm)],[f572])).
% 0.24/0.50 fof(f1515,plain,(
% 0.24/0.50 ![V_Z,V_s]: ((![V_s_H]: (hBOOL(hAPP(hAPP(v_Q,V_Z),V_s_H))|~c_Natural_Oevaln(v_c,V_s,v_n,V_s_H)))|~hBOOL(hAPP(hAPP(v_P,V_Z),V_s)))),
% 0.24/0.50 inference(miniscoping,[status(thm)],[f574])).
% 0.24/0.50 fof(f1516,plain,(
% 0.24/0.50 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(v_Q,X0),X1))|~c_Natural_Oevaln(v_c,X2,v_n,X1)|~hBOOL(hAPP(hAPP(v_P,X0),X2)))),
% 0.24/0.50 inference(cnf_transformation,[status(thm)],[f1515])).
% 0.24/0.50 fof(f1517,plain,(
% 0.24/0.50 ![V_Z,V_s]: ((![V_s_H]: (hBOOL(hAPP(hAPP(v_R,V_Z),V_s_H))|~c_Natural_Oevaln(v_d,V_s,v_n,V_s_H)))|~hBOOL(hAPP(hAPP(v_Q,V_Z),V_s)))),
% 0.24/0.50 inference(miniscoping,[status(thm)],[f575])).
% 0.24/0.50 fof(f1518,plain,(
% 0.24/0.50 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(v_R,X0),X1))|~c_Natural_Oevaln(v_d,X2,v_n,X1)|~hBOOL(hAPP(hAPP(v_Q,X0),X2)))),
% 0.24/0.50 inference(cnf_transformation,[status(thm)],[f1517])).
% 0.24/0.50 fof(f1561,plain,(
% 0.24/0.50 ![X0]: (hBOOL(hAPP(hAPP(v_Q,v_Z),X0))|~c_Natural_Oevaln(v_c,v_s,v_n,X0))),
% 0.24/0.50 inference(resolution,[status(thm)],[f1516,f1510])).
% 0.24/0.50 fof(f1565,plain,(
% 0.24/0.50 hBOOL(hAPP(hAPP(v_Q,v_Z),v_s1))),
% 0.24/0.50 inference(resolution,[status(thm)],[f1561,f1511])).
% 0.24/0.50 fof(f1583,plain,(
% 0.24/0.50 ![X0]: (hBOOL(hAPP(hAPP(v_R,v_Z),X0))|~c_Natural_Oevaln(v_d,v_s1,v_n,X0))),
% 0.24/0.50 inference(resolution,[status(thm)],[f1518,f1565])).
% 0.24/0.50 fof(f1584,plain,(
% 0.24/0.50 hBOOL(hAPP(hAPP(v_R,v_Z),v_s_H))),
% 0.24/0.50 inference(resolution,[status(thm)],[f1583,f1512])).
% 0.24/0.50 fof(f1585,plain,(
% 0.24/0.50 $false),
% 0.24/0.50 inference(forward_subsumption_resolution,[status(thm)],[f1584,f1513])).
% 0.24/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.56 % Elapsed time: 0.114930 seconds
% 0.24/0.56 % CPU time: 0.276392 seconds
% 0.24/0.56 % Total memory used: 131.651 MB
% 0.24/0.56 % Net memory used: 131.311 MB
%------------------------------------------------------------------------------