TSTP Solution File: SCT023-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SCT023-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 12:33:05 EDT 2023
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT023-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:35:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.39 % Drodi V3.5.1
% 0.19/0.41 % Refutation found
% 0.19/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.41 fof(f573,axiom,(
% 0.19/0.41 (![V_x,V_z,T_a,V_r,V_y]: (( c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))| ~ c_Relation_Otrans(V_r,T_a) ) ))),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f577,negated_conjecture,(
% 0.19/0.41 (![V_x]: (c_Relation_Otrans(hAPP(v_P,V_x),tc_Arrow__Order__Mirabelle_Oalt) ))),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f579,negated_conjecture,(
% 0.19/0.41 c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f580,negated_conjecture,(
% 0.19/0.41 c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt) ),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f581,negated_conjecture,(
% 0.19/0.41 (![V_xa]: (~ c_in(c_Pair(V_xa,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ))),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f582,negated_conjecture,(
% 0.19/0.41 ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f583,negated_conjecture,(
% 0.19/0.41 (![V_y,V_xa,V_x]: (( c_in(c_Pair(V_y,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| c_in(c_Pair(V_xa,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| V_xa = V_y ) ))),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f585,negated_conjecture,(
% 0.19/0.41 (![V_a,V_b]: (( c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| ~ c_in(c_Pair(V_a,V_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))| V_a = V_b ) ))),
% 0.19/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.41 fof(f1460,plain,(
% 0.19/0.41 ![T_a,V_r]: ((![V_x,V_y]: ((![V_z]: (c_in(c_Pair(V_x,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))|~c_in(c_Pair(V_y,V_z,T_a,T_a),V_r,tc_prod(T_a,T_a))))|~c_in(c_Pair(V_x,V_y,T_a,T_a),V_r,tc_prod(T_a,T_a))))|~c_Relation_Otrans(V_r,T_a))),
% 0.19/0.41 inference(miniscoping,[status(esa)],[f573])).
% 0.19/0.41 fof(f1461,plain,(
% 0.19/0.41 ![X0,X1,X2,X3,X4]: (c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))|~c_in(c_Pair(X4,X1,X2,X2),X3,tc_prod(X2,X2))|~c_in(c_Pair(X0,X4,X2,X2),X3,tc_prod(X2,X2))|~c_Relation_Otrans(X3,X2))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f1460])).
% 0.19/0.41 fof(f1468,plain,(
% 0.19/0.41 ![X0]: (c_Relation_Otrans(hAPP(v_P,X0),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f577])).
% 0.19/0.41 fof(f1470,plain,(
% 0.19/0.41 c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f579])).
% 0.19/0.41 fof(f1471,plain,(
% 0.19/0.41 c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f580])).
% 0.19/0.41 fof(f1472,plain,(
% 0.19/0.41 ![X0]: (~c_in(c_Pair(X0,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f581])).
% 0.19/0.41 fof(f1473,plain,(
% 0.19/0.41 ~c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f582])).
% 0.19/0.41 fof(f1474,plain,(
% 0.19/0.41 ![V_y,V_xa]: ((![V_x]: (c_in(c_Pair(V_y,V_xa,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(V_xa,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,V_x),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))))|V_xa=V_y)),
% 0.19/0.41 inference(miniscoping,[status(esa)],[f583])).
% 0.19/0.41 fof(f1475,plain,(
% 0.19/0.41 ![X0,X1,X2]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X1=X0)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f1474])).
% 0.19/0.41 fof(f1477,plain,(
% 0.19/0.41 ![X0,X1]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X0=X1)),
% 0.19/0.41 inference(cnf_transformation,[status(esa)],[f585])).
% 0.19/0.41 fof(f1528,plain,(
% 0.19/0.41 spl0_1 <=> v_b=v_a),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f1529,plain,(
% 0.19/0.41 v_b=v_a|~spl0_1),
% 0.19/0.41 inference(component_clause,[status(thm)],[f1528])).
% 0.19/0.41 fof(f1535,plain,(
% 0.19/0.41 spl0_2 <=> c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f1536,plain,(
% 0.19/0.41 c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_2),
% 0.19/0.41 inference(component_clause,[status(thm)],[f1535])).
% 0.19/0.41 fof(f1540,plain,(
% 0.19/0.41 ![X0,X1]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X0=X1|c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X0=X1)),
% 0.19/0.41 inference(resolution,[status(thm)],[f1477,f1475])).
% 0.19/0.41 fof(f1541,plain,(
% 0.19/0.41 ![X0,X1]: (c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|X0=X1|c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P,v_i),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))),
% 0.19/0.41 inference(duplicate_literals_removal,[status(esa)],[f1540])).
% 0.19/0.41 fof(f1545,plain,(
% 0.19/0.41 c_in(c_Pair(v_a,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_1),
% 0.19/0.41 inference(backward_demodulation,[status(thm)],[f1529,f1470])).
% 0.19/0.41 fof(f1546,plain,(
% 0.19/0.41 $false|~spl0_1),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f1545,f1472])).
% 0.19/0.41 fof(f1547,plain,(
% 0.19/0.41 ~spl0_1),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f1546])).
% 0.19/0.41 fof(f1554,plain,(
% 0.19/0.41 c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|v_b=v_a),
% 0.19/0.41 inference(resolution,[status(thm)],[f1541,f1473])).
% 0.19/0.41 fof(f1555,plain,(
% 0.19/0.41 spl0_2|spl0_1),
% 0.19/0.41 inference(split_clause,[status(thm)],[f1554,f1535,f1528])).
% 0.19/0.41 fof(f1739,plain,(
% 0.19/0.41 spl0_4 <=> c_Relation_Otrans(hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.41 introduced(split_symbol_definition)).
% 0.19/0.41 fof(f1741,plain,(
% 0.19/0.41 ~c_Relation_Otrans(hAPP(v_P,v_i),tc_Arrow__Order__Mirabelle_Oalt)|spl0_4),
% 0.19/0.41 inference(component_clause,[status(thm)],[f1739])).
% 0.19/0.41 fof(f1751,plain,(
% 0.19/0.41 spl0_6 <=> ~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.42 introduced(split_symbol_definition)).
% 0.19/0.42 fof(f1752,plain,(
% 0.19/0.42 ![X0,X1]: (~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_6)),
% 0.19/0.42 inference(component_clause,[status(thm)],[f1751])).
% 0.19/0.42 fof(f1754,plain,(
% 0.19/0.42 spl0_7 <=> c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)),
% 0.19/0.42 introduced(split_symbol_definition)).
% 0.19/0.42 fof(f1756,plain,(
% 0.19/0.42 ~c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt)|spl0_7),
% 0.19/0.42 inference(component_clause,[status(thm)],[f1754])).
% 0.19/0.42 fof(f1757,plain,(
% 0.19/0.42 ![X0,X1]: (~c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~c_Relation_Otrans(v_F(v_P),tc_Arrow__Order__Mirabelle_Oalt))),
% 0.19/0.42 inference(resolution,[status(thm)],[f1461,f1472])).
% 0.19/0.42 fof(f1758,plain,(
% 0.19/0.42 spl0_6|~spl0_7),
% 0.19/0.42 inference(split_clause,[status(thm)],[f1757,f1751,f1754])).
% 0.19/0.42 fof(f1759,plain,(
% 0.19/0.42 $false|spl0_7),
% 0.19/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1756,f1471])).
% 0.19/0.42 fof(f1760,plain,(
% 0.19/0.42 spl0_7),
% 0.19/0.42 inference(contradiction_clause,[status(thm)],[f1759])).
% 0.19/0.42 fof(f1761,plain,(
% 0.19/0.42 $false|spl0_4),
% 0.19/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1741,f1468])).
% 0.19/0.42 fof(f1762,plain,(
% 0.19/0.42 spl0_4),
% 0.19/0.42 inference(contradiction_clause,[status(thm)],[f1761])).
% 0.19/0.42 fof(f1793,plain,(
% 0.19/0.42 ~c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))|~spl0_6),
% 0.19/0.42 inference(resolution,[status(thm)],[f1752,f1470])).
% 0.19/0.42 fof(f1794,plain,(
% 0.19/0.42 $false|~spl0_2|~spl0_6),
% 0.19/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1793,f1536])).
% 0.19/0.42 fof(f1795,plain,(
% 0.19/0.42 ~spl0_2|~spl0_6),
% 0.19/0.42 inference(contradiction_clause,[status(thm)],[f1794])).
% 0.19/0.42 fof(f1796,plain,(
% 0.19/0.42 $false),
% 0.19/0.42 inference(sat_refutation,[status(thm)],[f1547,f1555,f1758,f1760,f1762,f1795])).
% 0.19/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.43 % Elapsed time: 0.081327 seconds
% 0.19/0.43 % CPU time: 0.212486 seconds
% 0.19/0.43 % Memory used: 36.036 MB
%------------------------------------------------------------------------------