%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET830-2 : 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 02:12:41 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.57s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET830-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n009.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Mon Sep 21 05:40:27 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.55 % Drodi V4.1.1
% 0.14/0.57 % Refutation found
% 0.14/0.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.57 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.57 fof(f1,axiom,(
% 0.14/0.57 (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)| c_in(V_c,V_B,T_a) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f2,axiom,(
% 0.14/0.57 (![V_c,V_A,V_B,T_a]: (( ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)| c_in(V_c,V_A,T_a) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f3,axiom,(
% 0.14/0.57 (![V_c,V_B,T_a,V_A]: (( ~ c_in(V_c,V_B,T_a)| ~ c_in(V_c,V_A,T_a)| c_in(V_c,c_inter(V_A,V_B,T_a),T_a) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f4,axiom,(
% 0.14/0.57 (![V_c,V_A,T_a,V_B]: (( ~ c_in(V_c,V_A,T_a)| ~ c_lessequals(V_A,V_B,tc_set(T_a))| c_in(V_c,V_B,T_a) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f5,axiom,(
% 0.14/0.57 (![V_A,V_B,T_a]: (( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f6,axiom,(
% 0.14/0.57 (![V_A,V_B,T_a]: (( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)| c_lessequals(V_A,V_B,tc_set(T_a)) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f7,negated_conjecture,(
% 0.14/0.57 c_in(v_x,v_Y,t_a) ),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f8,negated_conjecture,(
% 0.14/0.57 c_in(v_x,v_Z,t_a) ),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f9,negated_conjecture,(
% 0.14/0.57 ~ c_in(v_x,v_X,t_a) ),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f10,negated_conjecture,(
% 0.14/0.57 (![V_U]: (( c_lessequals(V_U,v_X,tc_set(t_a))| ~ c_lessequals(V_U,v_Z,tc_set(t_a))| ~ c_lessequals(V_U,v_Y,tc_set(t_a)) ) ))),
% 0.14/0.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.57 fof(f11,plain,(
% 0.14/0.57 ![V_c,V_B,T_a]: ((![V_A]: ~c_in(V_c,c_inter(V_A,V_B,T_a),T_a))|c_in(V_c,V_B,T_a))),
% 0.14/0.57 inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.57 fof(f12,plain,(
% 0.14/0.57 ![X0,X1,X2,X3]: (~c_in(X0,c_inter(X1,X2,X3),X3)|c_in(X0,X2,X3))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.57 fof(f13,plain,(
% 0.14/0.57 ![V_c,V_A,T_a]: ((![V_B]: ~c_in(V_c,c_inter(V_A,V_B,T_a),T_a))|c_in(V_c,V_A,T_a))),
% 0.14/0.57 inference(miniscoping,[status(thm)],[f2])).
% 0.14/0.57 fof(f14,plain,(
% 0.14/0.57 ![X0,X1,X2,X3]: (~c_in(X0,c_inter(X1,X2,X3),X3)|c_in(X0,X1,X3))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.57 fof(f15,plain,(
% 0.14/0.57 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_in(X0,X3,X2)|c_in(X0,c_inter(X3,X1,X2),X2))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.57 fof(f16,plain,(
% 0.14/0.57 ![V_c,T_a,V_B]: ((![V_A]: (~c_in(V_c,V_A,T_a)|~c_lessequals(V_A,V_B,tc_set(T_a))))|c_in(V_c,V_B,T_a))),
% 0.14/0.57 inference(miniscoping,[status(thm)],[f4])).
% 0.14/0.57 fof(f17,plain,(
% 0.14/0.57 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.57 fof(f18,plain,(
% 0.14/0.57 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.57 fof(f19,plain,(
% 0.14/0.57 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.57 fof(f20,plain,(
% 0.14/0.57 c_in(v_x,v_Y,t_a)),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.57 fof(f21,plain,(
% 0.14/0.57 c_in(v_x,v_Z,t_a)),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.57 fof(f22,plain,(
% 0.14/0.57 ~c_in(v_x,v_X,t_a)),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.57 fof(f23,plain,(
% 0.14/0.57 ![X0]: (c_lessequals(X0,v_X,tc_set(t_a))|~c_lessequals(X0,v_Z,tc_set(t_a))|~c_lessequals(X0,v_Y,tc_set(t_a)))),
% 0.14/0.57 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.57 fof(f24,plain,(
% 0.14/0.57 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2))),
% 0.14/0.57 inference(resolution,[status(thm)],[f18,f14])).
% 0.14/0.57 fof(f25,plain,(
% 0.14/0.57 ![X0,X1,X2,X3]: (c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2))),
% 0.14/0.57 inference(resolution,[status(thm)],[f18,f12])).
% 0.14/0.57 fof(f45,plain,(
% 0.14/0.57 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2))|c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)))),
% 0.14/0.58 inference(resolution,[status(thm)],[f24,f19])).
% 0.14/0.58 fof(f48,plain,(
% 0.14/0.58 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)))),
% 0.14/0.58 inference(duplicate_literals_removal,[status(thm)],[f45])).
% 0.14/0.58 fof(f49,plain,(
% 0.14/0.58 ![X0]: (c_lessequals(c_inter(v_Y,X0,t_a),v_X,tc_set(t_a))|~c_lessequals(c_inter(v_Y,X0,t_a),v_Z,tc_set(t_a)))),
% 0.14/0.58 inference(resolution,[status(thm)],[f48,f23])).
% 0.14/0.58 fof(f51,plain,(
% 0.14/0.58 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2))|c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)))),
% 0.14/0.58 inference(resolution,[status(thm)],[f25,f19])).
% 0.14/0.58 fof(f54,plain,(
% 0.14/0.58 ![X0,X1,X2]: (c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)))),
% 0.14/0.58 inference(duplicate_literals_removal,[status(thm)],[f51])).
% 0.14/0.58 fof(f57,plain,(
% 0.14/0.58 c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))),
% 0.14/0.58 inference(resolution,[status(thm)],[f49,f54])).
% 0.14/0.58 fof(f58,plain,(
% 0.14/0.58 ![X0]: (~c_in(X0,c_inter(v_Y,v_Z,t_a),t_a)|c_in(X0,v_X,t_a))),
% 0.14/0.58 inference(resolution,[status(thm)],[f57,f17])).
% 0.14/0.58 fof(f83,plain,(
% 0.14/0.58 ![X0]: (c_in(X0,v_X,t_a)|~c_in(X0,v_Z,t_a)|~c_in(X0,v_Y,t_a))),
% 0.14/0.58 inference(resolution,[status(thm)],[f58,f15])).
% 0.14/0.58 fof(f89,plain,(
% 0.14/0.58 c_in(v_x,v_X,t_a)|~c_in(v_x,v_Z,t_a)),
% 0.14/0.58 inference(resolution,[status(thm)],[f83,f20])).
% 0.14/0.58 fof(f90,definition,(
% 0.14/0.58 sQ2_spl <=> (c_in(v_x,v_X,t_a))),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f91,plain,(
% 0.14/0.58 c_in(v_x,v_X,t_a)|~sQ2_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f90])).
% 0.14/0.58 fof(f93,definition,(
% 0.14/0.58 sQ3_spl <=> (c_in(v_x,v_Z,t_a))),
% 0.14/0.58 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.58 fof(f95,plain,(
% 0.14/0.58 ~c_in(v_x,v_Z,t_a)|sQ3_spl),
% 0.14/0.58 inference(component_clause,[status(thm)],[f93])).
% 0.14/0.58 fof(f96,plain,(
% 0.14/0.58 sQ2_spl|~sQ3_spl),
% 0.14/0.58 inference(split_clause,[status(thm)],[f89,f90,f93])).
% 0.14/0.58 fof(f97,plain,(
% 0.14/0.58 $false|~sQ2_spl),
% 0.14/0.58 inference(forward_subsumption_resolution,[status(thm)],[f91,f22])).
% 0.14/0.58 fof(f98,plain,(
% 0.14/0.58 ~sQ2_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f97])).
% 0.14/0.58 fof(f99,plain,(
% 0.14/0.58 $false|sQ3_spl),
% 0.14/0.58 inference(forward_subsumption_resolution,[status(thm)],[f95,f21])).
% 0.14/0.58 fof(f100,plain,(
% 0.14/0.58 sQ3_spl),
% 0.14/0.58 inference(contradiction_clause,[status(thm)],[f99])).
% 0.14/0.58 fof(f101,plain,(
% 0.14/0.58 $false),
% 0.14/0.58 inference(sat_refutation,[status(thm)],[f96,f98,f100])).
% 0.14/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.60 % Elapsed time: 0.043625 seconds
% 0.14/0.60 % CPU time: 0.127154 seconds
% 0.14/0.60 % Total memory used: 17.668 MB
% 0.14/0.60 % Net memory used: 17.213 MB
%------------------------------------------------------------------------------