TSTP Solution File: SYN072-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN072-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 20:51:14 EDT 2024

% Result   : Unsatisfiable 0.19s 0.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN072-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n013.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 : Mon Apr 29 21:58:19 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.35  % Drodi V3.6.0
% 0.19/0.36  % Refutation found
% 0.19/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.36  % SZS output start CNFRefutation for theBenchmark
% 0.19/0.36  fof(f1,axiom,(
% 0.19/0.36    (![X]: (( X = c| X = d ) ))),
% 0.19/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36  fof(f2,axiom,(
% 0.19/0.36    big_p(a) ),
% 0.19/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36  fof(f3,axiom,(
% 0.19/0.36    big_p(b) ),
% 0.19/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36  fof(f4,axiom,(
% 0.19/0.36    a != b ),
% 0.19/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36  fof(f5,negated_conjecture,(
% 0.19/0.36    ~ big_p(e) ),
% 0.19/0.36    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.36  fof(f6,plain,(
% 0.19/0.36    ![X0]: (X0=c|X0=d)),
% 0.19/0.36    inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.36  fof(f7,plain,(
% 0.19/0.36    big_p(a)),
% 0.19/0.36    inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.36  fof(f8,plain,(
% 0.19/0.36    big_p(b)),
% 0.19/0.36    inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.36  fof(f9,plain,(
% 0.19/0.36    ~a=b),
% 0.19/0.36    inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.36  fof(f10,plain,(
% 0.19/0.36    ~big_p(e)),
% 0.19/0.36    inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.36  fof(f11,plain,(
% 0.19/0.36    ![X0,X1]: (X0=c|X0=X1|X1=c)),
% 0.19/0.36    inference(paramodulation,[status(thm)],[f6,f6])).
% 0.19/0.36  fof(f12,plain,(
% 0.19/0.36    spl0_0 <=> d=c),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f14,plain,(
% 0.19/0.36    ~d=c|spl0_0),
% 0.19/0.36    inference(component_clause,[status(thm)],[f12])).
% 0.19/0.36  fof(f15,plain,(
% 0.19/0.36    spl0_1 <=> X0=c),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f16,plain,(
% 0.19/0.36    ![X0]: (X0=c|~spl0_1)),
% 0.19/0.36    inference(component_clause,[status(thm)],[f15])).
% 0.19/0.36  fof(f18,plain,(
% 0.19/0.36    ![X0]: (~d=c|X0=c)),
% 0.19/0.36    inference(equality_factoring,[status(esa)],[f6])).
% 0.19/0.36  fof(f19,plain,(
% 0.19/0.36    ~spl0_0|spl0_1),
% 0.19/0.36    inference(split_clause,[status(thm)],[f18,f12,f15])).
% 0.19/0.36  fof(f23,plain,(
% 0.19/0.36    spl0_3 <=> c=c),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f38,plain,(
% 0.19/0.36    spl0_4 <=> X0=X0|X0=c),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f41,plain,(
% 0.19/0.36    ![X0]: (X0=X0|~c=c|X0=c)),
% 0.19/0.36    inference(equality_factoring,[status(esa)],[f11])).
% 0.19/0.36  fof(f42,plain,(
% 0.19/0.36    spl0_4|~spl0_3),
% 0.19/0.36    inference(split_clause,[status(thm)],[f41,f38,f23])).
% 0.19/0.36  fof(f48,plain,(
% 0.19/0.36    spl0_6 <=> X0=c|~X0=c),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f71,plain,(
% 0.19/0.36    spl0_7 <=> a=c),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f74,plain,(
% 0.19/0.36    spl0_8 <=> b=c),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f86,plain,(
% 0.19/0.36    spl0_10 <=> b=X0|X0=c),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f87,plain,(
% 0.19/0.36    ![X0]: (b=X0|X0=c|~spl0_10)),
% 0.19/0.36    inference(component_clause,[status(thm)],[f86])).
% 0.19/0.36  fof(f89,plain,(
% 0.19/0.36    ![X0]: (~a=c|b=X0|X0=c)),
% 0.19/0.36    inference(paramodulation,[status(thm)],[f11,f9])).
% 0.19/0.36  fof(f90,plain,(
% 0.19/0.36    ~spl0_7|spl0_10),
% 0.19/0.36    inference(split_clause,[status(thm)],[f89,f71,f86])).
% 0.19/0.36  fof(f101,plain,(
% 0.19/0.36    spl0_12 <=> d=X0|X0=c),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f102,plain,(
% 0.19/0.36    ![X0]: (d=X0|X0=c|~spl0_12)),
% 0.19/0.36    inference(component_clause,[status(thm)],[f101])).
% 0.19/0.36  fof(f124,plain,(
% 0.19/0.36    ![X0]: (~b=c|X0=c|~spl0_10)),
% 0.19/0.36    inference(equality_factoring,[status(esa)],[f87])).
% 0.19/0.36  fof(f125,plain,(
% 0.19/0.36    ~spl0_8|spl0_1|~spl0_10),
% 0.19/0.36    inference(split_clause,[status(thm)],[f124,f74,f15,f86])).
% 0.19/0.36  fof(f128,plain,(
% 0.19/0.36    d=c|c=c|spl0_0),
% 0.19/0.36    inference(resolution,[status(thm)],[f14,f11])).
% 0.19/0.36  fof(f129,plain,(
% 0.19/0.36    spl0_0|spl0_3),
% 0.19/0.36    inference(split_clause,[status(thm)],[f128,f12,f23])).
% 0.19/0.36  fof(f132,plain,(
% 0.19/0.36    ![X0]: (~c=c|d=X0|X0=c|spl0_0)),
% 0.19/0.36    inference(paramodulation,[status(thm)],[f11,f14])).
% 0.19/0.36  fof(f133,plain,(
% 0.19/0.36    ~spl0_3|spl0_12|spl0_0),
% 0.19/0.36    inference(split_clause,[status(thm)],[f132,f23,f101,f12])).
% 0.19/0.36  fof(f134,plain,(
% 0.19/0.36    ![X0]: (~X0=c|d=c|X0=c|spl0_0)),
% 0.19/0.36    inference(paramodulation,[status(thm)],[f11,f14])).
% 0.19/0.36  fof(f135,plain,(
% 0.19/0.36    spl0_6|spl0_0),
% 0.19/0.36    inference(split_clause,[status(thm)],[f134,f48,f12])).
% 0.19/0.36  fof(f140,plain,(
% 0.19/0.36    ![X0,X1]: (X0=X1|~spl0_1)),
% 0.19/0.36    inference(paramodulation,[status(thm)],[f16,f16])).
% 0.19/0.36  fof(f141,plain,(
% 0.19/0.36    $false|~spl0_1),
% 0.19/0.36    inference(backward_subsumption_resolution,[status(thm)],[f9,f140])).
% 0.19/0.36  fof(f142,plain,(
% 0.19/0.36    ~spl0_1),
% 0.19/0.36    inference(contradiction_clause,[status(thm)],[f141])).
% 0.19/0.36  fof(f237,plain,(
% 0.19/0.36    spl0_17 <=> big_p(d)),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f240,plain,(
% 0.19/0.36    big_p(d)|b=c|~spl0_12),
% 0.19/0.36    inference(paramodulation,[status(thm)],[f102,f8])).
% 0.19/0.36  fof(f241,plain,(
% 0.19/0.36    spl0_17|spl0_8|~spl0_12),
% 0.19/0.36    inference(split_clause,[status(thm)],[f240,f237,f74,f101])).
% 0.19/0.36  fof(f281,plain,(
% 0.19/0.36    spl0_19 <=> e=c),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f282,plain,(
% 0.19/0.36    e=c|~spl0_19),
% 0.19/0.36    inference(component_clause,[status(thm)],[f281])).
% 0.19/0.36  fof(f299,plain,(
% 0.19/0.36    ~big_p(d)|e=c|~spl0_12),
% 0.19/0.36    inference(paramodulation,[status(thm)],[f102,f10])).
% 0.19/0.36  fof(f300,plain,(
% 0.19/0.36    ~spl0_17|spl0_19|~spl0_12),
% 0.19/0.36    inference(split_clause,[status(thm)],[f299,f237,f281,f101])).
% 0.19/0.36  fof(f303,plain,(
% 0.19/0.36    spl0_21 <=> ~big_p(X0)|X0=c),
% 0.19/0.36    introduced(split_symbol_definition)).
% 0.19/0.36  fof(f304,plain,(
% 0.19/0.36    ![X0]: (~big_p(X0)|X0=c|~spl0_21)),
% 0.19/0.36    inference(component_clause,[status(thm)],[f303])).
% 0.19/0.36  fof(f306,plain,(
% 0.19/0.36    ![X0]: (~big_p(X0)|e=c|X0=c)),
% 0.19/0.36    inference(paramodulation,[status(thm)],[f11,f10])).
% 0.19/0.36  fof(f307,plain,(
% 0.19/0.36    spl0_21|spl0_19),
% 0.19/0.36    inference(split_clause,[status(thm)],[f306,f303,f281])).
% 0.19/0.36  fof(f312,plain,(
% 0.19/0.36    ~big_p(c)|~spl0_19),
% 0.19/0.36    inference(backward_demodulation,[status(thm)],[f282,f10])).
% 0.19/0.36  fof(f327,plain,(
% 0.19/0.36    ![X0,X1]: (~big_p(X0)|X1=c|X1=X0|~spl0_19)),
% 0.19/0.36    inference(paramodulation,[status(thm)],[f11,f312])).
% 0.19/0.36  fof(f329,plain,(
% 0.19/0.36    ![X0]: (X0=c|X0=b|~spl0_19)),
% 0.19/0.36    inference(resolution,[status(thm)],[f327,f8])).
% 0.19/0.36  fof(f330,plain,(
% 0.19/0.36    spl0_10|~spl0_19),
% 0.19/0.36    inference(split_clause,[status(thm)],[f329,f86,f281])).
% 0.19/0.36  fof(f331,plain,(
% 0.19/0.36    ![X0]: (X0=c|X0=a|~spl0_19)),
% 0.19/0.36    inference(resolution,[status(thm)],[f327,f7])).
% 0.19/0.36  fof(f332,plain,(
% 0.19/0.36    b=c|~spl0_19),
% 0.19/0.36    inference(resolution,[status(thm)],[f331,f9])).
% 0.19/0.36  fof(f333,plain,(
% 0.19/0.36    spl0_8|~spl0_19),
% 0.19/0.36    inference(split_clause,[status(thm)],[f332,f74,f281])).
% 0.19/0.36  fof(f359,plain,(
% 0.19/0.36    a=c|~spl0_21),
% 0.19/0.36    inference(resolution,[status(thm)],[f304,f7])).
% 0.19/0.36  fof(f360,plain,(
% 0.19/0.36    spl0_7|~spl0_21),
% 0.19/0.36    inference(split_clause,[status(thm)],[f359,f71,f303])).
% 0.19/0.36  fof(f361,plain,(
% 0.19/0.36    $false),
% 0.19/0.36    inference(sat_refutation,[status(thm)],[f19,f42,f90,f125,f129,f133,f135,f142,f241,f300,f307,f330,f333,f360])).
% 0.19/0.36  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.37  % Elapsed time: 0.025283 seconds
% 0.19/0.37  % CPU time: 0.077145 seconds
% 0.19/0.37  % Total memory used: 13.546 MB
% 0.19/0.37  % Net memory used: 13.418 MB
%------------------------------------------------------------------------------