TSTP Solution File: SET821-2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET821-2 : 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 : Wed May 31 12:35:16 EDT 2023
% Result : Unsatisfiable 0.18s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 10:38:48 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.34 % Drodi V3.5.1
% 0.18/0.35 % Refutation found
% 0.18/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.35 fof(f1,axiom,(
% 0.18/0.35 (![T_a,V_x]: (( ~ class_Orderings_Oorder(T_a)| ~ c_less(V_x,V_x,T_a) ) ))),
% 0.18/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.35 fof(f2,axiom,(
% 0.18/0.35 (![V_c,V_A,T_a]: (( ~ c_in(V_c,V_A,T_a)| ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) ) ))),
% 0.18/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.35 fof(f3,axiom,(
% 0.18/0.35 (![V_c,V_A,T_a]: (( c_in(V_c,V_A,T_a)| c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a) ) ))),
% 0.18/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.35 fof(f4,axiom,(
% 0.18/0.35 (![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) ) ))),
% 0.18/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.35 fof(f5,axiom,(
% 0.18/0.35 (![V_x,V_B,T_a]: (c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ))),
% 0.18/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.35 fof(f6,axiom,(
% 0.18/0.35 (![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 ) ))),
% 0.18/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.35 fof(f7,negated_conjecture,(
% 0.18/0.35 c_less(v_a,v_b,tc_IntDef_Oint) ),
% 0.18/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.35 fof(f8,negated_conjecture,(
% 0.18/0.35 c_less(v_b,v_c,tc_IntDef_Oint) ),
% 0.18/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.35 fof(f9,negated_conjecture,(
% 0.18/0.35 (![V_U]: (( c_in(v_c,V_U,tc_IntDef_Oint)| ~ c_in(v_b,V_U,tc_IntDef_Oint)| c_in(v_a,V_U,tc_IntDef_Oint) ) ))),
% 0.18/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.35 fof(f10,axiom,(
% 0.18/0.35 class_Orderings_Oorder(tc_IntDef_Oint) ),
% 0.18/0.35 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.35 fof(f11,plain,(
% 0.18/0.35 ![T_a]: (~class_Orderings_Oorder(T_a)|(![V_x]: ~c_less(V_x,V_x,T_a)))),
% 0.18/0.35 inference(miniscoping,[status(esa)],[f1])).
% 0.18/0.35 fof(f12,plain,(
% 0.18/0.35 ![X0,X1]: (~class_Orderings_Oorder(X0)|~c_less(X1,X1,X0))),
% 0.18/0.35 inference(cnf_transformation,[status(esa)],[f11])).
% 0.18/0.35 fof(f13,plain,(
% 0.18/0.35 ![X0,X1,X2]: (~c_in(X0,X1,X2)|~c_in(X0,c_uminus(X1,tc_set(X2)),X2))),
% 0.18/0.35 inference(cnf_transformation,[status(esa)],[f2])).
% 0.18/0.35 fof(f14,plain,(
% 0.18/0.35 ![X0,X1,X2]: (c_in(X0,X1,X2)|c_in(X0,c_uminus(X1,tc_set(X2)),X2))),
% 0.18/0.35 inference(cnf_transformation,[status(esa)],[f3])).
% 0.18/0.35 fof(f15,plain,(
% 0.18/0.35 ![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)))),
% 0.18/0.35 inference(miniscoping,[status(esa)],[f4])).
% 0.18/0.35 fof(f16,plain,(
% 0.18/0.35 ![X0,X1,X2,X3]: (~c_in(X0,X1,X2)|c_in(X0,c_insert(X3,X1,X2),X2))),
% 0.18/0.35 inference(cnf_transformation,[status(esa)],[f15])).
% 0.18/0.35 fof(f17,plain,(
% 0.18/0.35 ![X0,X1,X2]: (c_in(X0,c_insert(X0,X1,X2),X2))),
% 0.18/0.35 inference(cnf_transformation,[status(esa)],[f5])).
% 0.18/0.35 fof(f18,plain,(
% 0.18/0.35 ![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)),
% 0.18/0.35 inference(miniscoping,[status(esa)],[f6])).
% 0.18/0.35 fof(f19,plain,(
% 0.18/0.35 ![X0,X1,X2,X3]: (~c_in(X0,c_insert(X1,X2,X3),X3)|c_in(X0,X2,X3)|X0=X1)),
% 0.18/0.35 inference(cnf_transformation,[status(esa)],[f18])).
% 0.18/0.35 fof(f20,plain,(
% 0.18/0.35 c_less(v_a,v_b,tc_IntDef_Oint)),
% 0.18/0.35 inference(cnf_transformation,[status(esa)],[f7])).
% 0.18/0.35 fof(f21,plain,(
% 0.18/0.35 c_less(v_b,v_c,tc_IntDef_Oint)),
% 0.18/0.35 inference(cnf_transformation,[status(esa)],[f8])).
% 0.18/0.35 fof(f22,plain,(
% 0.18/0.35 ![X0]: (c_in(v_c,X0,tc_IntDef_Oint)|~c_in(v_b,X0,tc_IntDef_Oint)|c_in(v_a,X0,tc_IntDef_Oint))),
% 0.18/0.35 inference(cnf_transformation,[status(esa)],[f9])).
% 0.18/0.35 fof(f23,plain,(
% 0.18/0.35 class_Orderings_Oorder(tc_IntDef_Oint)),
% 0.18/0.35 inference(cnf_transformation,[status(esa)],[f10])).
% 0.18/0.35 fof(f24,plain,(
% 0.18/0.35 ![X0]: (~c_in(v_c,X0,tc_IntDef_Oint)|~c_in(v_b,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint)|c_in(v_a,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint))),
% 0.18/0.35 inference(resolution,[status(thm)],[f13,f22])).
% 0.18/0.35 fof(f25,plain,(
% 0.18/0.35 ![X0]: (c_in(v_b,X0,tc_IntDef_Oint)|~c_in(v_c,X0,tc_IntDef_Oint)|c_in(v_a,c_uminus(X0,tc_set(tc_IntDef_Oint)),tc_IntDef_Oint))),
% 0.18/0.35 inference(resolution,[status(thm)],[f14,f24])).
% 0.18/0.35 fof(f26,plain,(
% 0.18/0.35 ![X0]: (c_in(v_b,X0,tc_IntDef_Oint)|~c_in(v_c,X0,tc_IntDef_Oint)|~c_in(v_a,X0,tc_IntDef_Oint))),
% 0.18/0.35 inference(resolution,[status(thm)],[f25,f13])).
% 0.18/0.35 fof(f28,plain,(
% 0.18/0.35 ![X0,X1]: (c_in(v_b,c_insert(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_in(v_a,c_insert(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)|~c_in(v_c,X1,tc_IntDef_Oint))),
% 0.19/0.57 inference(resolution,[status(thm)],[f26,f16])).
% 0.19/0.57 fof(f35,plain,(
% 0.19/0.57 spl0_1 <=> v_b=v_c),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f36,plain,(
% 0.19/0.57 v_b=v_c|~spl0_1),
% 0.19/0.57 inference(component_clause,[status(thm)],[f35])).
% 0.19/0.57 fof(f40,plain,(
% 0.19/0.57 ![X0,X1]: (c_in(v_b,X0,tc_IntDef_Oint)|v_b=X1|~c_in(v_a,c_insert(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)|~c_in(v_c,X0,tc_IntDef_Oint))),
% 0.19/0.57 inference(resolution,[status(thm)],[f19,f28])).
% 0.19/0.57 fof(f64,plain,(
% 0.19/0.57 spl0_7 <=> c_in(v_b,X0,tc_IntDef_Oint)|~c_in(v_c,X0,tc_IntDef_Oint)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f65,plain,(
% 0.19/0.57 ![X0]: (c_in(v_b,X0,tc_IntDef_Oint)|~c_in(v_c,X0,tc_IntDef_Oint)|~spl0_7)),
% 0.19/0.57 inference(component_clause,[status(thm)],[f64])).
% 0.19/0.57 fof(f67,plain,(
% 0.19/0.57 spl0_8 <=> v_b=v_a),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f68,plain,(
% 0.19/0.57 v_b=v_a|~spl0_8),
% 0.19/0.57 inference(component_clause,[status(thm)],[f67])).
% 0.19/0.57 fof(f70,plain,(
% 0.19/0.57 ![X0]: (c_in(v_b,X0,tc_IntDef_Oint)|v_b=v_a|~c_in(v_c,X0,tc_IntDef_Oint))),
% 0.19/0.57 inference(resolution,[status(thm)],[f40,f17])).
% 0.19/0.57 fof(f71,plain,(
% 0.19/0.57 spl0_7|spl0_8),
% 0.19/0.57 inference(split_clause,[status(thm)],[f70,f64,f67])).
% 0.19/0.57 fof(f96,plain,(
% 0.19/0.57 c_less(v_b,v_b,tc_IntDef_Oint)|~spl0_1),
% 0.19/0.57 inference(backward_demodulation,[status(thm)],[f36,f21])).
% 0.19/0.57 fof(f97,plain,(
% 0.19/0.57 ~class_Orderings_Oorder(tc_IntDef_Oint)|~spl0_1),
% 0.19/0.57 inference(resolution,[status(thm)],[f96,f12])).
% 0.19/0.57 fof(f98,plain,(
% 0.19/0.57 $false|~spl0_1),
% 0.19/0.57 inference(forward_subsumption_resolution,[status(thm)],[f97,f23])).
% 0.19/0.57 fof(f99,plain,(
% 0.19/0.57 ~spl0_1),
% 0.19/0.57 inference(contradiction_clause,[status(thm)],[f98])).
% 0.19/0.57 fof(f126,plain,(
% 0.19/0.57 ![X0]: (c_in(v_b,c_insert(v_c,X0,tc_IntDef_Oint),tc_IntDef_Oint)|~spl0_7)),
% 0.19/0.57 inference(resolution,[status(thm)],[f65,f17])).
% 0.19/0.57 fof(f132,plain,(
% 0.19/0.57 spl0_14 <=> c_in(v_b,X0,tc_IntDef_Oint)),
% 0.19/0.57 introduced(split_symbol_definition)).
% 0.19/0.57 fof(f133,plain,(
% 0.19/0.57 ![X0]: (c_in(v_b,X0,tc_IntDef_Oint)|~spl0_14)),
% 0.19/0.57 inference(component_clause,[status(thm)],[f132])).
% 0.19/0.57 fof(f135,plain,(
% 0.19/0.57 ![X0]: (c_in(v_b,X0,tc_IntDef_Oint)|v_b=v_c|~spl0_7)),
% 0.19/0.57 inference(resolution,[status(thm)],[f126,f19])).
% 0.19/0.57 fof(f136,plain,(
% 0.19/0.57 spl0_14|spl0_1|~spl0_7),
% 0.19/0.57 inference(split_clause,[status(thm)],[f135,f132,f35,f64])).
% 0.19/0.57 fof(f141,plain,(
% 0.19/0.57 c_less(v_a,v_a,tc_IntDef_Oint)|~spl0_8),
% 0.19/0.57 inference(backward_demodulation,[status(thm)],[f68,f20])).
% 0.19/0.57 fof(f142,plain,(
% 0.19/0.57 ~class_Orderings_Oorder(tc_IntDef_Oint)|~spl0_8),
% 0.19/0.57 inference(resolution,[status(thm)],[f141,f12])).
% 0.19/0.57 fof(f143,plain,(
% 0.19/0.57 $false|~spl0_8),
% 0.19/0.57 inference(forward_subsumption_resolution,[status(thm)],[f142,f23])).
% 0.19/0.57 fof(f144,plain,(
% 0.19/0.57 ~spl0_8),
% 0.19/0.57 inference(contradiction_clause,[status(thm)],[f143])).
% 0.19/0.57 fof(f147,plain,(
% 0.19/0.57 ![X0]: (~c_in(v_b,X0,tc_IntDef_Oint)|~spl0_14)),
% 0.19/0.57 inference(resolution,[status(thm)],[f133,f13])).
% 0.19/0.57 fof(f148,plain,(
% 0.19/0.57 $false|~spl0_14),
% 0.19/0.57 inference(forward_subsumption_resolution,[status(thm)],[f147,f133])).
% 0.19/0.57 fof(f149,plain,(
% 0.19/0.57 ~spl0_14),
% 0.19/0.57 inference(contradiction_clause,[status(thm)],[f148])).
% 0.19/0.57 fof(f150,plain,(
% 0.19/0.57 $false),
% 0.19/0.57 inference(sat_refutation,[status(thm)],[f71,f99,f136,f144,f149])).
% 0.19/0.57 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.57 % Elapsed time: 0.020805 seconds
% 0.19/0.57 % CPU time: 0.026260 seconds
% 0.19/0.57 % Memory used: 2.918 MB
%------------------------------------------------------------------------------