%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : COM010-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 12:10:42 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COM010-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.42 % Computer : n009.cluster.edu
% 0.13/0.42 % Model : x86_64 x86_64
% 0.13/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.42 % Memory : 8046.5625MB
% 0.13/0.42 % OS : Linux 6.8.0-71-generic
% 0.13/0.42 % CPULimit : 300
% 0.13/0.42 % WCLimit : 300
% 0.13/0.42 % DateTime : Mon Sep 21 14:13:57 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.43 % Drodi V4.1.1
% 0.13/0.44 % Refutation found
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.44 fof(f1,negated_conjecture,(
% 0.13/0.44 c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f2,negated_conjecture,(
% 0.13/0.44 c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f3,negated_conjecture,(
% 0.13/0.44 c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a) ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f4,negated_conjecture,(
% 0.13/0.44 v_F != v_G ),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f5,axiom,(
% 0.13/0.44 (![V_y,T_a]: (c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(V_y,T_a),c_Pair(c_UNITY_OActs(V_y,T_a),c_UNITY_OAllowedActs(V_y,T_a),tc_set(tc_set(tc_prod(T_a,T_a))),tc_set(tc_set(tc_prod(T_a,T_a)))),tc_set(T_a),tc_prod(tc_set(tc_set(tc_prod(T_a,T_a))),tc_set(tc_set(tc_prod(T_a,T_a))))),T_a) = V_y ))),
% 0.13/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.44 fof(f6,plain,(
% 0.13/0.44 c_UNITY_OInit(v_F,t_a)=c_UNITY_OInit(v_G,t_a)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.44 fof(f7,plain,(
% 0.13/0.44 c_UNITY_OActs(v_F,t_a)=c_UNITY_OActs(v_G,t_a)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.44 fof(f8,plain,(
% 0.13/0.44 c_UNITY_OAllowedActs(v_F,t_a)=c_UNITY_OAllowedActs(v_G,t_a)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.44 fof(f9,plain,(
% 0.13/0.44 ~v_F=v_G),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.44 fof(f10,plain,(
% 0.13/0.44 ![X0,X1]: (c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(X0,X1),c_Pair(c_UNITY_OActs(X0,X1),c_UNITY_OAllowedActs(X0,X1),tc_set(tc_set(tc_prod(X1,X1))),tc_set(tc_set(tc_prod(X1,X1)))),tc_set(X1),tc_prod(tc_set(tc_set(tc_prod(X1,X1))),tc_set(tc_set(tc_prod(X1,X1))))),X1)=X0)),
% 0.13/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.44 fof(f11,plain,(
% 0.13/0.44 c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_F,t_a),c_Pair(c_UNITY_OActs(v_G,t_a),c_UNITY_OAllowedActs(v_G,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a)=v_G),
% 0.13/0.44 inference(paramodulation,[status(thm)],[f6,f10])).
% 0.13/0.44 fof(f14,plain,(
% 0.13/0.44 c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_F,t_a),c_Pair(c_UNITY_OActs(v_F,t_a),c_UNITY_OAllowedActs(v_G,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a)=v_G),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f7,f11])).
% 0.13/0.44 fof(f15,plain,(
% 0.13/0.44 c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(v_F,t_a),c_Pair(c_UNITY_OActs(v_F,t_a),c_UNITY_OAllowedActs(v_F,t_a),tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a)))),tc_set(t_a),tc_prod(tc_set(tc_set(tc_prod(t_a,t_a))),tc_set(tc_set(tc_prod(t_a,t_a))))),t_a)=v_G),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f8,f14])).
% 0.13/0.44 fof(f16,plain,(
% 0.13/0.44 v_F=v_G),
% 0.13/0.44 inference(forward_demodulation,[status(thm)],[f10,f15])).
% 0.13/0.44 fof(f17,plain,(
% 0.13/0.44 $false),
% 0.13/0.44 inference(forward_subsumption_resolution,[status(thm)],[f16,f9])).
% 0.13/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.46 % Elapsed time: 0.029168 seconds
% 0.13/0.46 % CPU time: 0.034960 seconds
% 0.13/0.46 % Total memory used: 421.600 KB
% 0.13/0.46 % Net memory used: 391.520 KB
%------------------------------------------------------------------------------