%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET839-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 02:12:42 PM UTC 2026
% Result : Unsatisfiable 20.48s 3.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET839-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 05:40:57 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.40 % Drodi V4.1.1
% 20.48/3.08 % Refutation found
% 20.48/3.08 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 20.48/3.08 % SZS output start CNFRefutation for theBenchmark
% 20.48/3.08 fof(f176,axiom,(
% 20.48/3.08 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 20.48/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.48/3.08 fof(f299,axiom,(
% 20.48/3.08 (![V_A,T_a]: (c_lessequals(c_emptyset,V_A,tc_set(T_a)) ))),
% 20.48/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.48/3.08 fof(f307,axiom,(
% 20.48/3.08 (![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)) ) ))),
% 20.48/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.48/3.08 fof(f308,axiom,(
% 20.48/3.08 (![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)) ) ))),
% 20.48/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.48/3.08 fof(f309,axiom,(
% 20.48/3.08 (![V_B,V_A,T_a]: (( ~ c_lessequals(V_B,V_A,tc_set(T_a))| ~ c_lessequals(V_A,V_B,tc_set(T_a))| V_A = V_B ) ))),
% 20.48/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.48/3.08 fof(f1358,negated_conjecture,(
% 20.48/3.08 (![V_U]: (~ c_lessequals(v_S,c_insert(V_U,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))) ))),
% 20.48/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.48/3.08 fof(f1359,negated_conjecture,(
% 20.48/3.08 (![V_U,V_V]: (( c_lessequals(V_U,V_V,tc_set(t_a))| ~ c_in(V_V,v_S,tc_set(t_a))| ~ c_in(V_U,v_S,tc_set(t_a)) ) ))),
% 20.48/3.08 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 20.48/3.08 fof(f1602,plain,(
% 20.48/3.08 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 20.48/3.08 inference(cnf_transformation,[status(thm)],[f176])).
% 20.48/3.08 fof(f1762,plain,(
% 20.48/3.08 ![X0,X1]: (c_lessequals(c_emptyset,X0,tc_set(X1)))),
% 20.48/3.08 inference(cnf_transformation,[status(thm)],[f299])).
% 20.48/3.08 fof(f1774,plain,(
% 20.48/3.08 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 20.48/3.08 inference(cnf_transformation,[status(thm)],[f307])).
% 20.48/3.08 fof(f1775,plain,(
% 20.48/3.08 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 20.48/3.08 inference(cnf_transformation,[status(thm)],[f308])).
% 20.48/3.08 fof(f1776,plain,(
% 20.48/3.08 ![V_B,V_A]: ((![T_a]: (~c_lessequals(V_B,V_A,tc_set(T_a))|~c_lessequals(V_A,V_B,tc_set(T_a))))|V_A=V_B)),
% 20.48/3.08 inference(miniscoping,[status(thm)],[f309])).
% 20.48/3.08 fof(f1777,plain,(
% 20.48/3.08 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 20.48/3.08 inference(cnf_transformation,[status(thm)],[f1776])).
% 20.48/3.08 fof(f2835,plain,(
% 20.48/3.08 ![X0]: (~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))))),
% 20.48/3.08 inference(cnf_transformation,[status(thm)],[f1358])).
% 20.48/3.08 fof(f2836,plain,(
% 20.48/3.08 ![V_U]: ((![V_V]: (c_lessequals(V_U,V_V,tc_set(t_a))|~c_in(V_V,v_S,tc_set(t_a))))|~c_in(V_U,v_S,tc_set(t_a)))),
% 20.48/3.08 inference(miniscoping,[status(thm)],[f1359])).
% 20.48/3.08 fof(f2837,plain,(
% 20.48/3.08 ![X0,X1]: (c_lessequals(X0,X1,tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a))|~c_in(X0,v_S,tc_set(t_a)))),
% 20.48/3.08 inference(cnf_transformation,[status(thm)],[f2836])).
% 20.48/3.08 fof(f2883,plain,(
% 20.48/3.08 ![X0,X1]: (~c_lessequals(X0,c_emptyset,tc_set(X1))|X0=c_emptyset)),
% 20.48/3.08 inference(resolution,[status(thm)],[f1777,f1762])).
% 20.48/3.08 fof(f17449,plain,(
% 20.48/3.08 ![X0,X1]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_lessequals(X1,c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),tc_set(t_a))|~c_in(X1,v_S,tc_set(t_a)))),
% 20.48/3.08 inference(resolution,[status(thm)],[f1774,f2837])).
% 20.48/3.08 fof(f17834,plain,(
% 20.48/3.08 ![X0,X1]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_lessequals(c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),tc_set(t_a))|c_lessequals(v_S,X1,tc_set(tc_set(t_a))))),
% 20.48/3.08 inference(resolution,[status(thm)],[f17449,f1774])).
% 20.48/3.08 fof(f18335,plain,(
% 20.48/3.08 ![X0,X1]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_lessequals(v_S,X1,tc_set(tc_set(t_a)))|~c_lessequals(c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)),c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)),tc_set(t_a))|c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))=c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)))),
% 20.48/3.08 inference(resolution,[status(thm)],[f17834,f1777])).
% 20.48/3.08 fof(f18342,plain,(
% 20.48/3.08 ![X0,X1]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_lessequals(v_S,X1,tc_set(tc_set(t_a)))|c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))=c_Main_OsubsetI__1(v_S,X1,tc_set(t_a)))),
% 20.48/3.08 inference(forward_subsumption_resolution,[status(thm)],[f18335,f17834])).
% 6.84/3.11 fof(f18503,plain,(
% 6.84/3.11 ![X0]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a))=c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))|v_S=c_emptyset)),
% 6.84/3.11 inference(resolution,[status(thm)],[f18342,f2883])).
% 6.84/3.11 fof(f18546,definition,(
% 6.84/3.11 sQ120_spl <=> (v_S=c_emptyset)),
% 6.84/3.11 introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition])).
% 6.84/3.11 fof(f18547,plain,(
% 6.84/3.11 v_S=c_emptyset|~sQ120_spl),
% 6.84/3.11 inference(component_clause,[status(thm)],[f18546])).
% 6.84/3.11 fof(f18550,definition,(
% 6.84/3.11 ![X0]: (sQ121_spl <=> (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a))=c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))))),
% 6.84/3.11 introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition])).
% 6.84/3.11 fof(f18551,plain,(
% 6.84/3.11 ![X0]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a))=c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))|~sQ121_spl)),
% 6.84/3.11 inference(component_clause,[status(thm)],[f18550])).
% 6.84/3.11 fof(f18553,plain,(
% 6.84/3.11 sQ121_spl|sQ120_spl),
% 6.84/3.11 inference(split_clause,[status(thm)],[f18503,f18550,f18546])).
% 6.84/3.11 fof(f18671,plain,(
% 6.84/3.11 ![X0]: (~c_lessequals(c_emptyset,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a)))|~sQ120_spl)),
% 6.84/3.11 inference(backward_demodulation,[status(thm)],[f18547,f2835])).
% 6.84/3.11 fof(f18704,plain,(
% 6.84/3.11 $false|~sQ120_spl),
% 6.84/3.11 inference(forward_subsumption_resolution,[status(thm)],[f18671,f1762])).
% 6.84/3.11 fof(f18705,plain,(
% 6.84/3.11 ~sQ120_spl),
% 6.84/3.11 inference(contradiction_clause,[status(thm)],[f18704])).
% 6.84/3.11 fof(f18957,plain,(
% 6.84/3.11 ![X0]: (c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a))=c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a))|~sQ121_spl)),
% 6.84/3.11 inference(resolution,[status(thm)],[f18551,f2835])).
% 6.84/3.11 fof(f19216,plain,(
% 6.84/3.11 ![X0]: (~c_in(c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a)),c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a))|c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a)))|~sQ121_spl)),
% 6.84/3.11 inference(paramodulation,[status(thm)],[f18957,f1775])).
% 6.84/3.11 fof(f19218,plain,(
% 6.84/3.11 ![X0]: (~c_in(c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a)),c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a))|~sQ121_spl)),
% 6.84/3.11 inference(forward_subsumption_resolution,[status(thm)],[f19216,f2835])).
% 6.84/3.11 fof(f19558,plain,(
% 6.84/3.11 $false|~sQ121_spl),
% 6.84/3.11 inference(resolution,[status(thm)],[f19218,f1602])).
% 6.84/3.11 fof(f19559,plain,(
% 6.84/3.11 ~sQ121_spl),
% 6.84/3.11 inference(contradiction_clause,[status(thm)],[f19558])).
% 6.84/3.11 fof(f19560,plain,(
% 6.84/3.11 $false),
% 6.84/3.11 inference(sat_refutation,[status(thm)],[f18553,f18705,f19559])).
% 6.84/3.11 % SZS output end CNFRefutation for theBenchmark.p
% 6.84/3.13 % Elapsed time: 2.760068 seconds
% 6.84/3.13 % CPU time: 21.350256 seconds
% 6.84/3.13 % Total memory used: 447.129 MB
% 6.84/3.13 % Net memory used: 408.967 MB
%------------------------------------------------------------------------------