TSTP Solution File: ALG369-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG369-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:11:26 EDT 2024
% Result : Unsatisfiable 2.44s 0.74s
% Output : CNFRefutation 2.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : ALG369-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.37 % Computer : n007.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Mon Apr 29 23:24:17 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.20/0.41 % Drodi V3.6.0
% 2.44/0.74 % Refutation found
% 2.44/0.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.44/0.74 % SZS output start CNFRefutation for theBenchmark
% 2.44/0.74 fof(f1,axiom,(
% 2.44/0.74 (![T_a,V_y,V_x]: (( ~ class_Orderings_Olinorder(T_a)| c_lessequals(V_y,V_x,T_a)| c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ))),
% 2.44/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.74 fof(f6,axiom,(
% 2.44/0.74 (![T_a,V_y,V_x]: (( ~ class_Orderings_Opreorder(T_a)| ~ c_lessequals(V_y,V_x,T_a)| ~ c_HOL_Oord__class_Oless(V_x,V_y,T_a) ) ))),
% 2.44/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.74 fof(f515,axiom,(
% 2.44/0.74 (![V_d]: (( v_thesis____| ~ c_HOL_Oord__class_Oless(V_d,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(V_d,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),V_d,tc_RealDef_Oreal) ) ))),
% 2.44/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.74 fof(f566,axiom,(
% 2.44/0.74 c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.44/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.74 fof(f567,axiom,(
% 2.44/0.74 c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
% 2.44/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.74 fof(f568,axiom,(
% 2.44/0.74 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_e,v_m____),tc_RealDef_Oreal) ),
% 2.44/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.74 fof(f569,negated_conjecture,(
% 2.44/0.74 ~ v_thesis____ ),
% 2.44/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.74 fof(f622,axiom,(
% 2.44/0.74 class_Orderings_Opreorder(tc_RealDef_Oreal) ),
% 2.44/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.74 fof(f623,axiom,(
% 2.44/0.74 class_Orderings_Olinorder(tc_RealDef_Oreal) ),
% 2.44/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.44/0.74 fof(f627,plain,(
% 2.44/0.74 ![X0,X1,X2]: (~class_Orderings_Olinorder(X0)|c_lessequals(X1,X2,X0)|c_HOL_Oord__class_Oless(X2,X1,X0))),
% 2.44/0.74 inference(cnf_transformation,[status(esa)],[f1])).
% 2.44/0.74 fof(f632,plain,(
% 2.44/0.74 ![X0,X1,X2]: (~class_Orderings_Opreorder(X0)|~c_lessequals(X1,X2,X0)|~c_HOL_Oord__class_Oless(X2,X1,X0))),
% 2.44/0.74 inference(cnf_transformation,[status(esa)],[f6])).
% 2.44/0.74 fof(f1440,plain,(
% 2.44/0.74 ![X0]: (v_thesis____|~c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal))),
% 2.44/0.74 inference(cnf_transformation,[status(esa)],[f515])).
% 2.44/0.74 fof(f1518,plain,(
% 2.44/0.74 c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.44/0.74 inference(cnf_transformation,[status(esa)],[f566])).
% 2.44/0.74 fof(f1519,plain,(
% 2.44/0.74 c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.44/0.74 inference(cnf_transformation,[status(esa)],[f567])).
% 2.44/0.74 fof(f1520,plain,(
% 2.44/0.74 c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_e,v_m____),tc_RealDef_Oreal)),
% 2.44/0.74 inference(cnf_transformation,[status(esa)],[f568])).
% 2.44/0.74 fof(f1521,plain,(
% 2.44/0.74 ~v_thesis____),
% 2.44/0.74 inference(cnf_transformation,[status(esa)],[f569])).
% 2.44/0.74 fof(f1574,plain,(
% 2.44/0.74 class_Orderings_Opreorder(tc_RealDef_Oreal)),
% 2.44/0.74 inference(cnf_transformation,[status(esa)],[f622])).
% 2.44/0.74 fof(f1575,plain,(
% 2.44/0.74 class_Orderings_Olinorder(tc_RealDef_Oreal)),
% 2.44/0.74 inference(cnf_transformation,[status(esa)],[f623])).
% 2.44/0.74 fof(f1586,plain,(
% 2.44/0.74 spl0_2 <=> v_thesis____),
% 2.44/0.74 introduced(split_symbol_definition)).
% 2.44/0.74 fof(f1587,plain,(
% 2.44/0.74 v_thesis____|~spl0_2),
% 2.44/0.74 inference(component_clause,[status(thm)],[f1586])).
% 2.44/0.74 fof(f1589,plain,(
% 2.44/0.74 spl0_3 <=> ~c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)),
% 2.44/0.74 introduced(split_symbol_definition)).
% 2.44/0.74 fof(f1590,plain,(
% 2.44/0.74 ![X0]: (~c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)|~spl0_3)),
% 2.44/0.74 inference(component_clause,[status(thm)],[f1589])).
% 2.44/0.74 fof(f1592,plain,(
% 2.44/0.74 spl0_2|spl0_3),
% 2.44/0.74 inference(split_clause,[status(thm)],[f1440,f1586,f1589])).
% 2.44/0.74 fof(f1596,plain,(
% 2.44/0.74 $false|~spl0_2),
% 2.44/0.74 inference(forward_subsumption_resolution,[status(thm)],[f1587,f1521])).
% 2.44/0.74 fof(f1597,plain,(
% 2.44/0.74 ~spl0_2),
% 2.44/0.74 inference(contradiction_clause,[status(thm)],[f1596])).
% 2.44/0.74 fof(f1603,plain,(
% 2.44/0.74 ![X0,X1]: (~c_lessequals(X0,X1,tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal))),
% 2.44/0.74 inference(resolution,[status(thm)],[f1574,f632])).
% 2.44/0.74 fof(f1606,plain,(
% 2.44/0.74 ![X0,X1]: (c_lessequals(X0,X1,tc_RealDef_Oreal)|c_HOL_Oord__class_Oless(X1,X0,tc_RealDef_Oreal))),
% 2.44/0.74 inference(resolution,[status(thm)],[f1575,f627])).
% 2.44/0.74 fof(f1678,plain,(
% 2.44/0.74 ![X0]: (c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_3)),
% 2.44/0.74 inference(resolution,[status(thm)],[f1606,f1590])).
% 2.44/0.74 fof(f1961,plain,(
% 2.44/0.74 spl0_38 <=> c_lessequals(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.44/0.74 introduced(split_symbol_definition)).
% 2.44/0.74 fof(f1962,plain,(
% 2.44/0.74 c_lessequals(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_38),
% 2.44/0.74 inference(component_clause,[status(thm)],[f1961])).
% 2.44/0.74 fof(f1969,plain,(
% 2.44/0.74 spl0_40 <=> c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.44/0.74 introduced(split_symbol_definition)).
% 2.44/0.74 fof(f1971,plain,(
% 2.44/0.74 ~c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)|spl0_40),
% 2.44/0.74 inference(component_clause,[status(thm)],[f1969])).
% 2.44/0.74 fof(f1972,plain,(
% 2.44/0.74 c_lessequals(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)|~c_HOL_Oord__class_Oless(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Oinverse__class_Odivide(v_e,v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_3),
% 2.44/0.74 inference(resolution,[status(thm)],[f1519,f1678])).
% 2.44/0.74 fof(f1973,plain,(
% 2.44/0.74 spl0_38|~spl0_40|~spl0_3),
% 2.44/0.74 inference(split_clause,[status(thm)],[f1972,f1961,f1969,f1589])).
% 2.44/0.74 fof(f1977,plain,(
% 2.44/0.74 $false|spl0_40),
% 2.44/0.74 inference(forward_subsumption_resolution,[status(thm)],[f1971,f1518])).
% 2.44/0.74 fof(f1978,plain,(
% 2.44/0.74 spl0_40),
% 2.44/0.74 inference(contradiction_clause,[status(thm)],[f1977])).
% 2.44/0.74 fof(f1986,plain,(
% 2.44/0.74 ~c_lessequals(v_sko__CHAINED__1(v_e,v_m____),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 2.44/0.74 inference(resolution,[status(thm)],[f1520,f1603])).
% 2.44/0.74 fof(f1987,plain,(
% 2.44/0.74 $false|~spl0_38),
% 2.44/0.74 inference(forward_subsumption_resolution,[status(thm)],[f1986,f1962])).
% 2.44/0.74 fof(f1988,plain,(
% 2.44/0.74 ~spl0_38),
% 2.44/0.74 inference(contradiction_clause,[status(thm)],[f1987])).
% 2.44/0.74 fof(f1989,plain,(
% 2.44/0.74 $false),
% 2.44/0.74 inference(sat_refutation,[status(thm)],[f1592,f1597,f1973,f1978,f1988])).
% 2.44/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 2.44/0.76 % Elapsed time: 0.381665 seconds
% 2.44/0.76 % CPU time: 2.663972 seconds
% 2.44/0.76 % Total memory used: 118.932 MB
% 2.44/0.76 % Net memory used: 117.906 MB
%------------------------------------------------------------------------------