TSTP Solution File: ALG354-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : ALG354-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 20:11:24 EDT 2024

% Result   : Unsatisfiable 0.22s 0.48s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : ALG354-1 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n029.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Apr 29 23:53:35 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.15/0.40  % Drodi V3.6.0
% 0.22/0.48  % Refutation found
% 0.22/0.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.48  % SZS output start CNFRefutation for theBenchmark
% 0.22/0.48  fof(f370,axiom,(
% 0.22/0.48    (![V_z]: (( v_thesis____| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(V_z,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal) ) ))),
% 0.22/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.48  fof(f372,axiom,(
% 0.22/0.48    c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat) ),
% 0.22/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.48  fof(f373,axiom,(
% 0.22/0.48    v_m____ != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 0.22/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.48  fof(f374,axiom,(
% 0.22/0.48    ( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)| v_m____ = c_HOL_Ozero__class_Ozero(tc_nat)| ~ c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat) ) ),
% 0.22/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.48  fof(f375,negated_conjecture,(
% 0.22/0.48    ~ v_thesis____ ),
% 0.22/0.48    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.48  fof(f1098,plain,(
% 0.22/0.48    v_thesis____|(![V_z]: ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(V_z,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 0.22/0.48    inference(miniscoping,[status(esa)],[f370])).
% 0.22/0.48  fof(f1099,plain,(
% 0.22/0.48    ![X0]: (v_thesis____|~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X0,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal))),
% 0.22/0.48    inference(cnf_transformation,[status(esa)],[f1098])).
% 0.22/0.48  fof(f1102,plain,(
% 0.22/0.48    c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)),
% 0.22/0.48    inference(cnf_transformation,[status(esa)],[f372])).
% 0.22/0.48  fof(f1103,plain,(
% 0.22/0.48    ~v_m____=c_HOL_Ozero__class_Ozero(tc_nat)),
% 0.22/0.48    inference(cnf_transformation,[status(esa)],[f373])).
% 0.22/0.48  fof(f1104,plain,(
% 0.22/0.48    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|v_m____=c_HOL_Ozero__class_Ozero(tc_nat)|~c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)),
% 0.22/0.48    inference(cnf_transformation,[status(esa)],[f374])).
% 0.22/0.48  fof(f1105,plain,(
% 0.22/0.48    ~v_thesis____),
% 0.22/0.48    inference(cnf_transformation,[status(esa)],[f375])).
% 0.22/0.48  fof(f1210,plain,(
% 0.22/0.48    spl0_0 <=> v_thesis____),
% 0.22/0.48    introduced(split_symbol_definition)).
% 0.22/0.48  fof(f1211,plain,(
% 0.22/0.48    v_thesis____|~spl0_0),
% 0.22/0.48    inference(component_clause,[status(thm)],[f1210])).
% 0.22/0.48  fof(f1213,plain,(
% 0.22/0.48    spl0_1 <=> ~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X0,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 0.22/0.48    introduced(split_symbol_definition)).
% 0.22/0.48  fof(f1214,plain,(
% 0.22/0.48    ![X0]: (~c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(X0,v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_1)),
% 0.22/0.49    inference(component_clause,[status(thm)],[f1213])).
% 0.22/0.49  fof(f1216,plain,(
% 0.22/0.49    spl0_0|spl0_1),
% 0.22/0.49    inference(split_clause,[status(thm)],[f1099,f1210,f1213])).
% 0.22/0.49  fof(f1217,plain,(
% 0.22/0.49    spl0_2 <=> c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)),
% 0.22/0.49    introduced(split_symbol_definition)).
% 0.22/0.49  fof(f1218,plain,(
% 0.22/0.49    c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_b,c_Power_Opower__class_Opower(v_sko__CHAINED__1(v_b,v_m____),v_m____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)|~spl0_2),
% 0.22/0.49    inference(component_clause,[status(thm)],[f1217])).
% 0.22/0.49  fof(f1220,plain,(
% 0.22/0.49    spl0_3 <=> v_m____=c_HOL_Ozero__class_Ozero(tc_nat)),
% 0.22/0.49    introduced(split_symbol_definition)).
% 0.22/0.49  fof(f1221,plain,(
% 0.22/0.49    v_m____=c_HOL_Ozero__class_Ozero(tc_nat)|~spl0_3),
% 0.22/0.49    inference(component_clause,[status(thm)],[f1220])).
% 0.22/0.49  fof(f1223,plain,(
% 0.22/0.49    spl0_4 <=> c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)),
% 0.22/0.49    introduced(split_symbol_definition)).
% 0.22/0.49  fof(f1225,plain,(
% 0.22/0.49    ~c_HOL_Oord__class_Oless(v_m____,v_na____,tc_nat)|spl0_4),
% 0.22/0.49    inference(component_clause,[status(thm)],[f1223])).
% 0.22/0.49  fof(f1226,plain,(
% 0.22/0.49    spl0_2|spl0_3|~spl0_4),
% 0.22/0.49    inference(split_clause,[status(thm)],[f1104,f1217,f1220,f1223])).
% 0.22/0.49  fof(f1228,plain,(
% 0.22/0.49    $false|spl0_4),
% 0.22/0.49    inference(forward_subsumption_resolution,[status(thm)],[f1225,f1102])).
% 0.22/0.49  fof(f1229,plain,(
% 0.22/0.49    spl0_4),
% 0.22/0.49    inference(contradiction_clause,[status(thm)],[f1228])).
% 0.22/0.49  fof(f1230,plain,(
% 0.22/0.49    $false|~spl0_0),
% 0.22/0.49    inference(forward_subsumption_resolution,[status(thm)],[f1211,f1105])).
% 0.22/0.49  fof(f1231,plain,(
% 0.22/0.49    ~spl0_0),
% 0.22/0.49    inference(contradiction_clause,[status(thm)],[f1230])).
% 0.22/0.49  fof(f1232,plain,(
% 0.22/0.49    $false|~spl0_1|~spl0_2),
% 0.22/0.49    inference(backward_subsumption_resolution,[status(thm)],[f1218,f1214])).
% 0.22/0.49  fof(f1233,plain,(
% 0.22/0.49    ~spl0_1|~spl0_2),
% 0.22/0.49    inference(contradiction_clause,[status(thm)],[f1232])).
% 0.22/0.49  fof(f1234,plain,(
% 0.22/0.49    $false|~spl0_3),
% 0.22/0.49    inference(forward_subsumption_resolution,[status(thm)],[f1221,f1103])).
% 0.22/0.49  fof(f1235,plain,(
% 0.22/0.49    ~spl0_3),
% 0.22/0.49    inference(contradiction_clause,[status(thm)],[f1234])).
% 0.22/0.49  fof(f1236,plain,(
% 0.22/0.49    $false),
% 0.22/0.49    inference(sat_refutation,[status(thm)],[f1216,f1226,f1229,f1231,f1233,f1235])).
% 0.22/0.49  % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.51  % Elapsed time: 0.134856 seconds
% 0.22/0.51  % CPU time: 0.668573 seconds
% 0.22/0.51  % Total memory used: 86.207 MB
% 0.22/0.51  % Net memory used: 86.063 MB
%------------------------------------------------------------------------------