%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV275-1 : 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 : n004.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 02:50:24 PM UTC 2026
% Result : Unsatisfiable 68.81s 9.12s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV275-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:37:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.41 % Drodi V4.1.1
% 68.81/9.12 % Refutation found
% 68.81/9.12 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 68.81/9.12 % SZS output start CNFRefutation for theBenchmark
% 68.81/9.12 fof(f108,axiom,(
% 68.81/9.12 (![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) ) ))),
% 68.81/9.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.81/9.12 fof(f109,axiom,(
% 68.81/9.12 (![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)) ) ))),
% 68.81/9.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.81/9.12 fof(f110,axiom,(
% 68.81/9.12 (![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)) ) ))),
% 68.81/9.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.81/9.12 fof(f111,axiom,(
% 68.81/9.12 (![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 ) ))),
% 68.81/9.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.81/9.12 fof(f1334,axiom,(
% 68.81/9.12 (![V_a,V_B,T_a,V_b]: (( ~ c_in(V_a,V_B,T_a)| c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ) ))),
% 68.81/9.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.81/9.12 fof(f1335,axiom,(
% 68.81/9.12 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 68.81/9.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.81/9.12 fof(f1336,axiom,(
% 68.81/9.12 (![V_a,V_b,V_A,T_a]: (( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)| c_in(V_a,V_A,T_a)| V_a = V_b ) ))),
% 68.81/9.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.81/9.12 fof(f1395,axiom,(
% 68.81/9.12 (![V_X,V_H]: (( ~ c_in(V_X,V_H,tc_Message_Omsg)| c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ))),
% 68.81/9.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.81/9.12 fof(f1399,axiom,(
% 68.81/9.12 (![V_G,V_H]: (( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))| c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)) ) ))),
% 68.81/9.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.81/9.12 fof(f1400,negated_conjecture,(
% 68.81/9.12 ~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
% 68.81/9.12 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.81/9.12 fof(f1539,plain,(
% 68.81/9.12 ![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))),
% 68.81/9.12 inference(miniscoping,[status(thm)],[f108])).
% 68.81/9.12 fof(f1540,plain,(
% 68.81/9.12 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|~c_lessequals(X1,X3,tc_set(X2))|c_in(X0,X3,X2))),
% 68.81/9.12 inference(cnf_transformation,[status(thm)],[f1539])).
% 68.81/9.12 fof(f1541,plain,(
% 68.81/9.12 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 68.81/9.12 inference(cnf_transformation,[status(thm)],[f109])).
% 68.81/9.12 fof(f1542,plain,(
% 68.81/9.12 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 68.81/9.12 inference(cnf_transformation,[status(thm)],[f110])).
% 68.81/9.12 fof(f1543,plain,(
% 68.81/9.12 ![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)),
% 68.81/9.12 inference(miniscoping,[status(thm)],[f111])).
% 68.81/9.12 fof(f1544,plain,(
% 68.81/9.12 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 68.81/9.12 inference(cnf_transformation,[status(thm)],[f1543])).
% 68.81/9.12 fof(f2842,plain,(
% 68.81/9.12 ![V_a,V_B,T_a]: (~c_in(V_a,V_B,T_a)|(![V_b]: c_in(V_a,c_insert(V_b,V_B,T_a),T_a)))),
% 68.81/9.12 inference(miniscoping,[status(thm)],[f1334])).
% 68.81/9.12 fof(f2843,plain,(
% 68.81/9.12 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_insert(X3,X1,X2),X2))),
% 68.81/9.12 inference(cnf_transformation,[status(thm)],[f2842])).
% 68.81/9.12 fof(f2844,plain,(
% 68.81/9.12 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 68.81/9.12 inference(cnf_transformation,[status(thm)],[f1335])).
% 68.81/9.12 fof(f2845,plain,(
% 68.81/9.12 ![V_a,V_b]: ((![V_A,T_a]: (~c_in(V_a,c_insert(V_b,V_A,T_a),T_a)|c_in(V_a,V_A,T_a)))|V_a=V_b)),
% 68.81/9.12 inference(miniscoping,[status(thm)],[f1336])).
% 68.81/9.12 fof(f2846,plain,(
% 68.81/9.12 ![X0,X1,X2,X3]: (~c_in(X0,c_insert(X1,X2,X3),X3)|c_in(X0,X2,X3)|X0=X1)),
% 68.81/9.12 inference(cnf_transformation,[status(thm)],[f2845])).
% 68.81/9.12 fof(f2924,plain,(
% 68.81/9.12 ![X0,X1]: (~c_in(X0,X1,tc_Message_Omsg)|c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg))),
% 68.81/9.12 inference(cnf_transformation,[status(thm)],[f1395])).
% 68.81/9.12 fof(f2929,plain,(
% 68.81/9.12 ![X0,X1]: (~c_lessequals(X0,X1,tc_set(tc_Message_Omsg))|c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg)))),
% 68.81/9.12 inference(cnf_transformation,[status(thm)],[f1399])).
% 68.81/9.12 fof(f2930,plain,(
% 68.81/9.12 ~c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))),
% 68.81/9.12 inference(cnf_transformation,[status(thm)],[f1400])).
% 68.81/9.12 fof(f2952,plain,(
% 68.81/9.12 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(tc_Message_Omsg))|~c_in(X2,c_Message_Osynth(X0),tc_Message_Omsg)|c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg))),
% 68.81/9.12 inference(resolution,[status(thm)],[f2929,f1540])).
% 68.81/9.12 fof(f5560,plain,(
% 68.81/9.12 ![X0,X1,X2,X3]: (c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))|c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)|c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2)=X0)),
% 68.81/9.12 inference(resolution,[status(thm)],[f1541,f2846])).
% 68.81/9.12 fof(f5579,plain,(
% 68.81/9.12 ![X0,X1,X2]: (c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))|~c_lessequals(X2,X1,tc_set(tc_Message_Omsg))|~c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),c_Message_Osynth(X2),tc_Message_Omsg))),
% 68.81/9.12 inference(resolution,[status(thm)],[f1542,f2952])).
% 68.81/9.12 fof(f5580,plain,(
% 68.81/9.12 ![X0,X1]: (c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))|~c_in(c_Main_OsubsetI__1(X0,c_Message_Osynth(X1),tc_Message_Omsg),X1,tc_Message_Omsg))),
% 68.81/9.12 inference(resolution,[status(thm)],[f1542,f2924])).
% 68.81/9.12 fof(f5584,plain,(
% 68.81/9.12 ![X0,X1,X2,X3]: (c_lessequals(X0,c_insert(X1,X2,X3),tc_set(X3))|~c_in(c_Main_OsubsetI__1(X0,c_insert(X1,X2,X3),X3),X2,X3))),
% 68.81/9.12 inference(resolution,[status(thm)],[f1542,f2843])).
% 68.81/9.12 fof(f5603,plain,(
% 68.81/9.12 ![X0,X1,X2]: (c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))|c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2)=X0|c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2)))),
% 68.81/9.12 inference(resolution,[status(thm)],[f5560,f1542])).
% 68.81/9.12 fof(f5665,plain,(
% 68.81/9.12 ![X0,X1,X2]: (c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))|c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2)=X0)),
% 68.81/9.12 inference(duplicate_literals_removal,[status(thm)],[f5603])).
% 68.81/9.12 fof(f5703,plain,(
% 68.81/9.12 ![X0,X1,X2]: (c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2))|c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2)))),
% 68.81/9.12 inference(resolution,[status(thm)],[f5584,f1541])).
% 68.81/9.12 fof(f5721,plain,(
% 68.81/9.12 ![X0,X1,X2]: (c_lessequals(X0,c_insert(X1,X0,X2),tc_set(X2)))),
% 68.81/9.12 inference(duplicate_literals_removal,[status(thm)],[f5703])).
% 68.81/9.12 fof(f5998,plain,(
% 68.81/9.12 ![X0,X1,X2]: (~c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))|X1=c_insert(X0,X1,X2))),
% 68.81/9.12 inference(resolution,[status(thm)],[f5721,f1544])).
% 68.81/9.12 fof(f15408,plain,(
% 68.81/9.12 ![X0,X1,X2]: (c_Main_OsubsetI__1(c_insert(X0,X1,X2),X1,X2)=X0|X1=c_insert(X0,X1,X2))),
% 68.81/9.12 inference(resolution,[status(thm)],[f5665,f5998])).
% 68.81/9.12 fof(f15498,plain,(
% 68.81/9.12 ![X0,X1,X2]: (~c_in(X0,X1,X2)|c_lessequals(c_insert(X0,X1,X2),X1,tc_set(X2))|X1=c_insert(X0,X1,X2))),
% 68.81/9.12 inference(paramodulation,[status(thm)],[f15408,f1542])).
% 68.81/9.12 fof(f15504,plain,(
% 68.81/9.12 ![X0,X1,X2]: (~c_in(X0,X1,X2)|X1=c_insert(X0,X1,X2))),
% 68.81/9.12 inference(forward_subsumption_resolution,[status(thm)],[f15498,f5998])).
% 68.81/9.12 fof(f15517,plain,(
% 68.81/9.12 ![X0,X1,X2]: (X0=c_insert(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 68.81/9.12 inference(resolution,[status(thm)],[f15504,f1541])).
% 68.81/9.12 fof(f23497,plain,(
% 68.81/9.12 c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)=c_insert(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)),
% 68.81/9.12 inference(resolution,[status(thm)],[f15517,f2930])).
% 68.81/9.12 fof(f23673,plain,(
% 68.81/9.12 c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)),
% 68.81/9.12 inference(paramodulation,[status(thm)],[f23497,f2844])).
% 68.81/9.12 fof(f24911,plain,(
% 68.81/9.12 c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)|c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)=v_X),
% 68.81/9.12 inference(resolution,[status(thm)],[f23673,f2846])).
% 68.81/9.21 fof(f25275,plain,(
% 68.81/9.21 c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)=v_X|c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|~c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))),
% 68.81/9.21 inference(resolution,[status(thm)],[f24911,f5579])).
% 68.81/9.21 fof(f25282,plain,(
% 68.81/9.21 c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)=v_X|~c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))),
% 68.81/9.21 inference(forward_subsumption_resolution,[status(thm)],[f25275,f2930])).
% 68.81/9.21 fof(f25778,plain,(
% 68.81/9.21 c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)=v_X),
% 68.81/9.21 inference(forward_subsumption_resolution,[status(thm)],[f25282,f5721])).
% 68.81/9.21 fof(f25783,plain,(
% 68.81/9.21 c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))|~c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)),
% 68.81/9.21 inference(paramodulation,[status(thm)],[f25778,f5580])).
% 68.81/9.21 fof(f25789,plain,(
% 68.81/9.21 ~c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)),
% 68.81/9.21 inference(forward_subsumption_resolution,[status(thm)],[f25783,f2930])).
% 68.81/9.21 fof(f25860,plain,(
% 68.81/9.21 $false),
% 68.81/9.21 inference(forward_subsumption_resolution,[status(thm)],[f25789,f2844])).
% 68.81/9.21 % SZS output end CNFRefutation for theBenchmark.p
% 30.80/9.26 % Elapsed time: 8.881682 seconds
% 30.80/9.26 % CPU time: 69.810095 seconds
% 30.80/9.26 % Total memory used: 1.122 GB
% 30.80/9.26 % Net memory used: 1.074 GB
%------------------------------------------------------------------------------