%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV857-1 : 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 : n018.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 0.08s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV857-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 09:30:59 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.41 % Drodi V4.1.1
% 0.08/0.43 % Refutation found
% 0.08/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.43 fof(f524,axiom,(
% 0.08/0.43 (![V_Q,V_x,V_P,T_a]: (( hBOOL(hAPP(V_Q,V_x))| ~ c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool))| ~ hBOOL(hAPP(V_P,V_x)) ) ))),
% 0.08/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f542,axiom,(
% 0.08/0.43 (![T_a,V_x,V_S]: (( hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))| ~ hBOOL(hAPP(V_S,V_x)) ) ))),
% 0.08/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f543,axiom,(
% 0.08/0.43 (![V_S,V_x,T_a]: (( hBOOL(hAPP(V_S,V_x))| ~ hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)) ) ))),
% 0.08/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f545,negated_conjecture,(
% 0.08/0.43 c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)) ),
% 0.08/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f546,negated_conjecture,(
% 0.08/0.43 hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa)) ),
% 0.08/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f547,negated_conjecture,(
% 0.08/0.43 ~ c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a) ),
% 0.08/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f548,negated_conjecture,(
% 0.08/0.43 (![V_xb]: (( c_Hoare__Mirabelle_Otriple__valid(v_x,V_xb,t_a)| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),V_xb),v_Ga)) ) ))),
% 0.08/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.43 fof(f1378,plain,(
% 0.08/0.43 ![V_x,V_P]: ((![V_Q]: (hBOOL(hAPP(V_Q,V_x))|(![T_a]: ~c_lessequals(V_P,V_Q,tc_fun(T_a,tc_bool)))))|~hBOOL(hAPP(V_P,V_x)))),
% 0.08/0.43 inference(miniscoping,[status(thm)],[f524])).
% 0.08/0.43 fof(f1379,plain,(
% 0.08/0.43 ![X0,X1,X2,X3]: (hBOOL(hAPP(X0,X1))|~c_lessequals(X2,X0,tc_fun(X3,tc_bool))|~hBOOL(hAPP(X2,X1)))),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f1378])).
% 0.08/0.43 fof(f1407,plain,(
% 0.08/0.43 ![V_x,V_S]: ((![T_a]: hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S)))|~hBOOL(hAPP(V_S,V_x)))),
% 0.08/0.43 inference(miniscoping,[status(thm)],[f542])).
% 0.08/0.43 fof(f1408,plain,(
% 0.08/0.43 ![X0,X1,X2]: (hBOOL(hAPP(hAPP(c_in(X0),X1),X2))|~hBOOL(hAPP(X2,X1)))),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f1407])).
% 0.08/0.43 fof(f1409,plain,(
% 0.08/0.43 ![V_S,V_x]: (hBOOL(hAPP(V_S,V_x))|(![T_a]: ~hBOOL(hAPP(hAPP(c_in(T_a),V_x),V_S))))),
% 0.08/0.43 inference(miniscoping,[status(thm)],[f543])).
% 0.08/0.43 fof(f1410,plain,(
% 0.08/0.43 ![X0,X1,X2]: (hBOOL(hAPP(X0,X1))|~hBOOL(hAPP(hAPP(c_in(X2),X1),X0)))),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f1409])).
% 0.08/0.43 fof(f1413,plain,(
% 0.08/0.43 c_lessequals(v_tsa,v_Ga,tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool))),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f545])).
% 0.08/0.43 fof(f1414,plain,(
% 0.08/0.43 hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_tsa))),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f546])).
% 0.08/0.43 fof(f1415,plain,(
% 0.08/0.43 ~c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a)),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f547])).
% 0.08/0.43 fof(f1416,plain,(
% 0.08/0.43 ![X0]: (c_Hoare__Mirabelle_Otriple__valid(v_x,X0,t_a)|~hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_Ga)))),
% 0.08/0.43 inference(cnf_transformation,[status(thm)],[f548])).
% 0.08/0.43 fof(f1478,plain,(
% 0.08/0.43 hBOOL(hAPP(v_tsa,v_xa))),
% 0.08/0.43 inference(resolution,[status(thm)],[f1410,f1414])).
% 0.08/0.43 fof(f1510,plain,(
% 0.08/0.43 ![X0]: (hBOOL(hAPP(v_Ga,X0))|~hBOOL(hAPP(v_tsa,X0)))),
% 0.08/0.43 inference(resolution,[status(thm)],[f1413,f1379])).
% 0.08/0.43 fof(f1513,plain,(
% 0.08/0.43 hBOOL(hAPP(v_Ga,v_xa))),
% 0.08/0.43 inference(resolution,[status(thm)],[f1510,f1478])).
% 0.08/0.43 fof(f1514,plain,(
% 0.08/0.43 ![X0]: (hBOOL(hAPP(hAPP(c_in(X0),v_xa),v_Ga)))),
% 0.08/0.43 inference(resolution,[status(thm)],[f1513,f1408])).
% 0.08/0.43 fof(f1515,plain,(
% 0.08/0.43 c_Hoare__Mirabelle_Otriple__valid(v_x,v_xa,t_a)),
% 0.08/0.43 inference(resolution,[status(thm)],[f1514,f1416])).
% 0.08/0.43 fof(f1518,plain,(
% 0.08/0.43 $false),
% 0.08/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1515,f1415])).
% 0.08/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.46 % Elapsed time: 0.087909 seconds
% 0.08/0.46 % CPU time: 0.180953 seconds
% 0.08/0.46 % Total memory used: 57.589 MB
% 0.08/0.46 % Net memory used: 57.446 MB
%------------------------------------------------------------------------------