TSTP Solution File: SET839-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n020.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 : Wed May 31 12:35:19 EDT 2023
% Result : Unsatisfiable 2.11s 0.80s
% Output : CNFRefutation 2.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET839-1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue May 30 10:12:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.41 % Drodi V3.5.1
% 2.11/0.80 % Refutation found
% 2.11/0.80 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.11/0.80 % SZS output start CNFRefutation for theBenchmark
% 2.11/0.80 fof(f176,axiom,(
% 2.11/0.80 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 2.11/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.11/0.80 fof(f299,axiom,(
% 2.11/0.80 (![V_A,T_a]: (c_lessequals(c_emptyset,V_A,tc_set(T_a)) ))),
% 2.11/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.11/0.80 fof(f307,axiom,(
% 2.11/0.80 (![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)) ) ))),
% 2.11/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.11/0.80 fof(f308,axiom,(
% 2.11/0.80 (![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)) ) ))),
% 2.11/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.11/0.80 fof(f309,axiom,(
% 2.11/0.80 (![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 ) ))),
% 2.11/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.11/0.80 fof(f1358,negated_conjecture,(
% 2.11/0.80 (![V_U]: (~ c_lessequals(v_S,c_insert(V_U,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))) ))),
% 2.11/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.11/0.80 fof(f1359,negated_conjecture,(
% 2.11/0.80 (![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)) ) ))),
% 2.11/0.80 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.11/0.80 fof(f1602,plain,(
% 2.11/0.80 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 2.11/0.80 inference(cnf_transformation,[status(esa)],[f176])).
% 2.11/0.80 fof(f1762,plain,(
% 2.11/0.80 ![X0,X1]: (c_lessequals(c_emptyset,X0,tc_set(X1)))),
% 2.11/0.80 inference(cnf_transformation,[status(esa)],[f299])).
% 2.11/0.80 fof(f1774,plain,(
% 2.11/0.80 ![X0,X1,X2]: (c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 2.11/0.80 inference(cnf_transformation,[status(esa)],[f307])).
% 2.11/0.80 fof(f1775,plain,(
% 2.11/0.80 ![X0,X1,X2]: (~c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)|c_lessequals(X0,X1,tc_set(X2)))),
% 2.11/0.80 inference(cnf_transformation,[status(esa)],[f308])).
% 2.11/0.80 fof(f1776,plain,(
% 2.11/0.80 ![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)),
% 2.11/0.80 inference(miniscoping,[status(esa)],[f309])).
% 2.11/0.80 fof(f1777,plain,(
% 2.11/0.80 ![X0,X1,X2]: (~c_lessequals(X0,X1,tc_set(X2))|~c_lessequals(X1,X0,tc_set(X2))|X1=X0)),
% 2.11/0.80 inference(cnf_transformation,[status(esa)],[f1776])).
% 2.11/0.80 fof(f2835,plain,(
% 2.11/0.80 ![X0]: (~c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a))))),
% 2.11/0.80 inference(cnf_transformation,[status(esa)],[f1358])).
% 2.11/0.80 fof(f2836,plain,(
% 2.11/0.80 ![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)))),
% 2.11/0.80 inference(miniscoping,[status(esa)],[f1359])).
% 2.11/0.80 fof(f2837,plain,(
% 2.11/0.80 ![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)))),
% 2.11/0.80 inference(cnf_transformation,[status(esa)],[f2836])).
% 2.11/0.80 fof(f2842,plain,(
% 2.11/0.80 ![X0,X1]: (~c_lessequals(X0,c_emptyset,tc_set(X1))|X0=c_emptyset)),
% 2.11/0.80 inference(resolution,[status(thm)],[f1777,f1762])).
% 2.11/0.80 fof(f4023,plain,(
% 2.11/0.80 ![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)))),
% 2.11/0.80 inference(resolution,[status(thm)],[f1774,f2837])).
% 2.11/0.80 fof(f4223,plain,(
% 2.11/0.80 ![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))))),
% 2.11/0.80 inference(resolution,[status(thm)],[f4023,f1774])).
% 2.11/0.80 fof(f4225,plain,(
% 2.11/0.80 ![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)))),
% 2.11/0.80 inference(resolution,[status(thm)],[f4223,f1777])).
% 2.11/0.80 fof(f4226,plain,(
% 2.11/0.80 ![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)))),
% 2.11/0.80 inference(forward_subsumption_resolution,[status(thm)],[f4225,f4223])).
% 2.11/0.80 fof(f4244,plain,(
% 2.11/0.81 spl0_24 <=> v_S=c_emptyset),
% 2.11/0.81 introduced(split_symbol_definition)).
% 2.11/0.81 fof(f4245,plain,(
% 2.11/0.81 v_S=c_emptyset|~spl0_24),
% 2.11/0.81 inference(component_clause,[status(thm)],[f4244])).
% 2.11/0.81 fof(f4249,plain,(
% 2.11/0.81 spl0_25 <=> 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))),
% 2.11/0.81 introduced(split_symbol_definition)).
% 2.11/0.81 fof(f4250,plain,(
% 2.11/0.81 ![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))|~spl0_25)),
% 2.11/0.81 inference(component_clause,[status(thm)],[f4249])).
% 2.11/0.81 fof(f4252,plain,(
% 2.11/0.81 ![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)),
% 2.11/0.81 inference(resolution,[status(thm)],[f4226,f2842])).
% 2.11/0.81 fof(f4253,plain,(
% 2.11/0.81 spl0_25|spl0_24),
% 2.11/0.81 inference(split_clause,[status(thm)],[f4252,f4249,f4244])).
% 2.11/0.81 fof(f4301,plain,(
% 2.11/0.81 ![X0]: (~c_lessequals(c_emptyset,c_insert(X0,c_emptyset,tc_set(t_a)),tc_set(tc_set(t_a)))|~spl0_24)),
% 2.11/0.81 inference(backward_demodulation,[status(thm)],[f4245,f2835])).
% 2.11/0.81 fof(f4302,plain,(
% 2.11/0.81 $false|~spl0_24),
% 2.11/0.81 inference(forward_subsumption_resolution,[status(thm)],[f4301,f1762])).
% 2.11/0.81 fof(f4303,plain,(
% 2.11/0.81 ~spl0_24),
% 2.11/0.81 inference(contradiction_clause,[status(thm)],[f4302])).
% 2.11/0.81 fof(f4305,plain,(
% 2.11/0.81 ![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))|~spl0_25)),
% 2.11/0.81 inference(resolution,[status(thm)],[f4250,f2835])).
% 2.11/0.81 fof(f4321,plain,(
% 2.11/0.81 ![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_25)),
% 2.11/0.81 inference(paramodulation,[status(thm)],[f4305,f1775])).
% 2.11/0.81 fof(f4322,plain,(
% 2.11/0.81 ![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_25)),
% 2.11/0.81 inference(forward_subsumption_resolution,[status(thm)],[f4321,f2835])).
% 2.11/0.81 fof(f4336,plain,(
% 2.11/0.81 $false|~spl0_25),
% 2.11/0.81 inference(resolution,[status(thm)],[f4322,f1602])).
% 2.11/0.81 fof(f4337,plain,(
% 2.11/0.81 ~spl0_25),
% 2.11/0.81 inference(contradiction_clause,[status(thm)],[f4336])).
% 2.11/0.81 fof(f4338,plain,(
% 2.11/0.81 $false),
% 2.11/0.81 inference(sat_refutation,[status(thm)],[f4253,f4303,f4337])).
% 2.11/0.81 % SZS output end CNFRefutation for theBenchmark.p
% 2.11/0.83 % Elapsed time: 0.472190 seconds
% 2.11/0.83 % CPU time: 2.371782 seconds
% 2.11/0.83 % Memory used: 114.214 MB
%------------------------------------------------------------------------------