%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET840-1 : 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 : n002.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 128.10s 16.77s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET840-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.51 % Computer : n002.cluster.edu
% 0.08/0.51 % Model : x86_64 x86_64
% 0.08/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.51 % Memory : 8046.5625MB
% 0.08/0.51 % OS : Linux 6.8.0-71-generic
% 0.08/0.51 % CPULimit : 300
% 0.08/0.51 % WCLimit : 300
% 0.08/0.51 % DateTime : Mon Sep 21 05:43:33 UTC 2026
% 0.08/0.51 % CPUTime :
% 0.08/0.53 % Drodi V4.1.1
% 128.10/16.77 % Refutation found
% 128.10/16.77 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 128.10/16.77 % SZS output start CNFRefutation for theBenchmark
% 128.10/16.77 fof(f173,axiom,(
% 128.10/16.77 (![V_A,V_X,T_a,V_C]: (( ~ c_in(V_A,V_X,T_a)| ~ c_in(V_X,V_C,tc_set(T_a))| c_in(V_A,c_Union(V_C,T_a),T_a) ) ))),
% 128.10/16.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 128.10/16.77 fof(f176,axiom,(
% 128.10/16.77 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 128.10/16.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 128.10/16.77 fof(f307,axiom,(
% 128.10/16.77 (![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)) ) ))),
% 128.10/16.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 128.10/16.77 fof(f308,axiom,(
% 128.10/16.77 (![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)) ) ))),
% 128.10/16.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 128.10/16.77 fof(f309,axiom,(
% 128.10/16.77 (![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 ) ))),
% 128.10/16.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 128.10/16.77 fof(f1358,negated_conjecture,(
% 128.10/16.77 (![V_U]: (~ c_lessequals(v_S,c_insert(V_U,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))) ))),
% 128.10/16.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 128.10/16.77 fof(f1359,negated_conjecture,(
% 128.10/16.77 (![V_U]: (( c_lessequals(c_Union(v_S,t_b),V_U,tc_set(t_b))| ~ c_in(V_U,v_S,tc_set(t_b)) ) ))),
% 128.10/16.77 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 128.10/16.77 fof(f1597,plain,(
% 128.10/16.77 ![V_A,T_a,V_C]: ((![V_X]: (~c_in(V_A,V_X,T_a)|~c_in(V_X,V_C,tc_set(T_a))))|c_in(V_A,c_Union(V_C,T_a),T_a))),
% 128.10/16.77 inference(miniscoping,[status(thm)],[f173])).
% 128.10/16.77 fof(f1598,plain,(
% 128.10/16.77 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_in(X1,X3,tc_set(X2))|c_in(X0,c_Union(X3,X2),X2))),
% 128.10/16.77 inference(cnf_transformation,[status(thm)],[f1597])).
% 128.10/16.77 fof(f1602,plain,(
% 128.10/16.77 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 128.10/16.77 inference(cnf_transformation,[status(thm)],[f176])).
% 128.10/16.77 fof(f1774,plain,(
% 128.10/16.77 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 128.10/16.77 inference(cnf_transformation,[status(thm)],[f307])).
% 128.10/16.77 fof(f1775,plain,(
% 128.10/16.77 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 128.10/16.77 inference(cnf_transformation,[status(thm)],[f308])).
% 128.10/16.77 fof(f1776,plain,(
% 128.10/16.77 ![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)),
% 128.10/16.77 inference(miniscoping,[status(thm)],[f309])).
% 128.10/16.77 fof(f1777,plain,(
% 128.10/16.77 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 128.10/16.77 inference(cnf_transformation,[status(thm)],[f1776])).
% 128.10/16.77 fof(f2835,plain,(
% 128.10/16.77 ![X0]: (~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))))),
% 128.10/16.77 inference(cnf_transformation,[status(thm)],[f1358])).
% 128.10/16.77 fof(f2836,plain,(
% 128.10/16.77 ![X0]: (c_lessequals(c_Union(v_S,t_b),X0,tc_set(t_b))|~c_in(X0,v_S,tc_set(t_b)))),
% 128.10/16.77 inference(cnf_transformation,[status(thm)],[f1359])).
% 128.10/16.77 fof(f2879,plain,(
% 128.10/16.77 ![X0]: (~c_lessequals(X0,c_Union(v_S,t_b),tc_set(t_b))|c_Union(v_S,t_b)=X0|~c_in(X0,v_S,tc_set(t_b)))),
% 128.10/16.77 inference(resolution,[status(thm)],[f1777,f2836])).
% 128.10/16.77 fof(f12107,plain,(
% 128.10/16.77 ![X0,X1,X2,X3]: (c_lessequals(X0,c_Union(X1,X2),tc_set(X2))|~c_in(c_Main_OsubsetI__1(X0,c_Union(X1,X2),X2),X3,X2)|~c_in(X3,X1,tc_set(X2)))),
% 128.10/16.77 inference(resolution,[status(thm)],[f1775,f1598])).
% 128.10/16.77 fof(f12312,plain,(
% 128.10/16.77 ![X0,X1,X2]: (c_lessequals(X0,c_Union(X1,X2),tc_set(X2))|~c_in(X0,X1,tc_set(X2))|c_lessequals(X0,c_Union(X1,X2),tc_set(X2)))),
% 128.10/16.77 inference(resolution,[status(thm)],[f12107,f1774])).
% 128.10/16.77 fof(f12372,plain,(
% 128.10/16.77 ![X0,X1,X2]: (c_lessequals(X0,c_Union(X1,X2),tc_set(X2))|~c_in(X0,X1,tc_set(X2)))),
% 128.10/16.77 inference(duplicate_literals_removal,[status(thm)],[f12312])).
% 128.10/16.77 fof(f28550,plain,(
% 128.10/16.77 ![X0]: (c_Union(v_S,t_b)=X0|~c_in(X0,v_S,tc_set(t_b)))),
% 128.10/16.77 inference(backward_subsumption_resolution,[status(thm)],[f2879,f12372])).
% 128.10/16.77 fof(f28600,plain,(
% 128.10/16.77 ![X0]: (c_Union(v_S,t_b)=c_Main_OsubsetI__1(v_S,X0,tc_set(t_b))|c_lessequals(v_S,X0,tc_set(tc_set(t_b))))),
% 128.10/16.77 inference(resolution,[status(thm)],[f28550,f1774])).
% 128.10/16.77 fof(f29114,plain,(
% 128.10/16.77 ![X0]: (c_Union(v_S,t_b)=c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)))),
% 97.74/16.85 inference(resolution,[status(thm)],[f28600,f2835])).
% 97.74/16.85 fof(f29676,plain,(
% 97.74/16.85 ![X0]: (~c_in(c_Union(v_S,t_b),c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b))|c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))))),
% 97.74/16.85 inference(paramodulation,[status(thm)],[f29114,f1775])).
% 97.74/16.85 fof(f29679,plain,(
% 97.74/16.85 ![X0]: (~c_in(c_Union(v_S,t_b),c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(t_b)))),
% 97.74/16.85 inference(forward_subsumption_resolution,[status(thm)],[f29676,f2835])).
% 97.74/16.85 fof(f29840,plain,(
% 97.74/16.85 $false),
% 97.74/16.85 inference(resolution,[status(thm)],[f29679,f1602])).
% 97.74/16.85 % SZS output end CNFRefutation for theBenchmark.p
% 13.57/16.94 % Elapsed time: 16.406289 seconds
% 13.57/16.94 % CPU time: 129.501314 seconds
% 13.57/16.94 % Total memory used: 1.226 GB
% 13.57/16.94 % Net memory used: 1.125 GB
%------------------------------------------------------------------------------