TSTP Solution File: SET839-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET839-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:40:29 EDT 2024
% Result : Unsatisfiable 11.13s 1.79s
% Output : CNFRefutation 11.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SET839-1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 21:55:32 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.16/0.36 % Drodi V3.6.0
% 11.13/1.79 % Refutation found
% 11.13/1.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.13/1.79 % SZS output start CNFRefutation for theBenchmark
% 11.13/1.79 fof(f176,axiom,(
% 11.13/1.79 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 11.13/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.13/1.79 fof(f299,axiom,(
% 11.13/1.79 (![V_A,T_a]: (c_lessequals(c_emptyset,V_A,tc_set(T_a)) ))),
% 11.13/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.13/1.79 fof(f307,axiom,(
% 11.13/1.79 (![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)) ) ))),
% 11.13/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.13/1.79 fof(f308,axiom,(
% 11.13/1.79 (![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)) ) ))),
% 11.13/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.13/1.79 fof(f309,axiom,(
% 11.13/1.79 (![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 ) ))),
% 11.13/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.13/1.79 fof(f1358,negated_conjecture,(
% 11.13/1.79 (![V_U]: (~ c_lessequals(v_S,c_insert(V_U,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))) ))),
% 11.13/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.13/1.79 fof(f1359,negated_conjecture,(
% 11.13/1.79 (![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)) ) ))),
% 11.13/1.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 11.13/1.79 fof(f1602,plain,(
% 11.13/1.79 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 11.13/1.79 inference(cnf_transformation,[status(esa)],[f176])).
% 11.13/1.79 fof(f1762,plain,(
% 11.13/1.79 ![X0,X1]: (c_lessequals(c_emptyset,X0,tc_set(X1)))),
% 11.13/1.79 inference(cnf_transformation,[status(esa)],[f299])).
% 11.13/1.79 fof(f1774,plain,(
% 11.13/1.79 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 11.13/1.79 inference(cnf_transformation,[status(esa)],[f307])).
% 11.13/1.79 fof(f1775,plain,(
% 11.13/1.79 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 11.13/1.79 inference(cnf_transformation,[status(esa)],[f308])).
% 11.13/1.79 fof(f1776,plain,(
% 11.13/1.79 ![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)),
% 11.13/1.79 inference(miniscoping,[status(esa)],[f309])).
% 11.13/1.79 fof(f1777,plain,(
% 11.13/1.79 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 11.13/1.79 inference(cnf_transformation,[status(esa)],[f1776])).
% 11.13/1.79 fof(f2835,plain,(
% 11.13/1.79 ![X0]: (~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))))),
% 11.13/1.79 inference(cnf_transformation,[status(esa)],[f1358])).
% 11.13/1.79 fof(f2836,plain,(
% 11.13/1.79 ![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)))),
% 11.13/1.79 inference(miniscoping,[status(esa)],[f1359])).
% 11.13/1.79 fof(f2837,plain,(
% 11.13/1.79 ![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)))),
% 11.13/1.79 inference(cnf_transformation,[status(esa)],[f2836])).
% 11.13/1.79 fof(f2853,plain,(
% 11.13/1.79 ![X0,X1]: (~c_lessequals(X0,c_emptyset,tc_set(X1))|c_emptyset=X0)),
% 11.13/1.79 inference(resolution,[status(thm)],[f1777,f1762])).
% 11.13/1.79 fof(f3684,plain,(
% 11.13/1.79 ![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)))),
% 11.13/1.79 inference(resolution,[status(thm)],[f1774,f2837])).
% 11.13/1.79 fof(f3852,plain,(
% 11.13/1.79 ![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))))),
% 11.13/1.79 inference(resolution,[status(thm)],[f3684,f1774])).
% 11.13/1.79 fof(f3853,plain,(
% 11.13/1.79 ![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,X1,tc_set(t_a))=c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))),
% 11.13/1.79 inference(resolution,[status(thm)],[f3852,f1777])).
% 11.13/1.79 fof(f3854,plain,(
% 11.13/1.79 ![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,X1,tc_set(t_a))=c_Main_OsubsetI__1(v_S,X0,tc_set(t_a)))),
% 11.13/1.79 inference(forward_subsumption_resolution,[status(thm)],[f3853,f3852])).
% 11.13/1.79 fof(f3860,plain,(
% 11.35/1.84 spl0_14 <=> c_emptyset=v_S),
% 11.35/1.84 introduced(split_symbol_definition)).
% 11.35/1.84 fof(f3861,plain,(
% 11.35/1.84 c_emptyset=v_S|~spl0_14),
% 11.35/1.84 inference(component_clause,[status(thm)],[f3860])).
% 11.35/1.84 fof(f3865,plain,(
% 11.35/1.84 spl0_15 <=> c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))=c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a))),
% 11.35/1.84 introduced(split_symbol_definition)).
% 11.35/1.84 fof(f3866,plain,(
% 11.35/1.84 ![X0]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))=c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a))|~spl0_15)),
% 11.35/1.84 inference(component_clause,[status(thm)],[f3865])).
% 11.35/1.84 fof(f3868,plain,(
% 11.35/1.84 ![X0]: (c_lessequals(v_S,X0,tc_set(tc_set(t_a)))|c_Main_OsubsetI__1(v_S,X0,tc_set(t_a))=c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a))|c_emptyset=v_S)),
% 11.35/1.84 inference(resolution,[status(thm)],[f3854,f2853])).
% 11.35/1.84 fof(f3869,plain,(
% 11.35/1.84 spl0_15|spl0_14),
% 11.35/1.84 inference(split_clause,[status(thm)],[f3868,f3865,f3860])).
% 11.35/1.84 fof(f3892,plain,(
% 11.35/1.84 ![X0]: (~c_lessequals(c_emptyset,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a)))|~spl0_14)),
% 11.35/1.84 inference(backward_demodulation,[status(thm)],[f3861,f2835])).
% 11.35/1.84 fof(f3893,plain,(
% 11.35/1.84 $false|~spl0_14),
% 11.35/1.84 inference(forward_subsumption_resolution,[status(thm)],[f3892,f1762])).
% 11.35/1.84 fof(f3894,plain,(
% 11.35/1.84 ~spl0_14),
% 11.35/1.84 inference(contradiction_clause,[status(thm)],[f3893])).
% 11.35/1.84 fof(f4110,plain,(
% 11.35/1.84 ![X0]: (c_Main_OsubsetI__1(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(t_a))=c_Main_OsubsetI__1(v_S,c_emptyset,tc_set(t_a))|~spl0_15)),
% 11.35/1.84 inference(resolution,[status(thm)],[f2835,f3866])).
% 11.35/1.84 fof(f4574,plain,(
% 11.35/1.84 ![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)))|~spl0_15)),
% 11.35/1.84 inference(paramodulation,[status(thm)],[f4110,f1775])).
% 11.35/1.84 fof(f4575,plain,(
% 11.35/1.84 ![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))|~spl0_15)),
% 11.35/1.84 inference(forward_subsumption_resolution,[status(thm)],[f4574,f2835])).
% 11.35/1.84 fof(f4636,plain,(
% 11.35/1.84 $false|~spl0_15),
% 11.35/1.84 inference(resolution,[status(thm)],[f4575,f1602])).
% 11.35/1.84 fof(f4637,plain,(
% 11.35/1.84 ~spl0_15),
% 11.35/1.84 inference(contradiction_clause,[status(thm)],[f4636])).
% 11.35/1.84 fof(f4638,plain,(
% 11.35/1.84 $false),
% 11.35/1.84 inference(sat_refutation,[status(thm)],[f3869,f3894,f4637])).
% 11.35/1.84 % SZS output end CNFRefutation for theBenchmark.p
% 11.50/1.86 % Elapsed time: 1.521946 seconds
% 11.50/1.86 % CPU time: 11.481177 seconds
% 11.50/1.86 % Total memory used: 216.244 MB
% 11.50/1.86 % Net memory used: 213.092 MB
%------------------------------------------------------------------------------