TSTP Solution File: SYN575-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN575-1 : TPTP v8.1.2. Released v2.5.0.
% 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 12:47:09 EDT 2023

% Result   : Unsatisfiable 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN575-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n021.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Tue May 30 10:26:07 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Drodi V3.5.1
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37  fof(f2,negated_conjecture,(
% 0.14/0.37    (![X21]: (p7(X21,X21) ))),
% 0.14/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37  fof(f3,negated_conjecture,(
% 0.14/0.37    (![X12]: (p3(X12,X12) ))),
% 0.14/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37  fof(f4,negated_conjecture,(
% 0.14/0.37    (![X7]: (p2(X7,X7) ))),
% 0.14/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37  fof(f5,negated_conjecture,(
% 0.14/0.37    p9(c12,c13) ),
% 0.14/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37  fof(f6,negated_conjecture,(
% 0.14/0.37    p11(c14,c15) ),
% 0.14/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37  fof(f8,negated_conjecture,(
% 0.14/0.37    (![X20]: (p3(f6(f5(X20)),f6(X20)) ))),
% 0.14/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37  fof(f10,negated_conjecture,(
% 0.14/0.37    (![X32]: (( p9(X32,f6(c14))| ~ p9(X32,c13) ) ))),
% 0.14/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37  fof(f16,negated_conjecture,(
% 0.14/0.37    (![X13,X14,X12]: (( p3(X13,X14)| ~ p3(X12,X13)| ~ p3(X12,X14) ) ))),
% 0.14/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37  fof(f19,negated_conjecture,(
% 0.14/0.37    (![X28,X29,X31,X30]: (( p9(X28,X29)| ~ p7(X31,X28)| ~ p9(X31,X30)| ~ p3(X30,X29) ) ))),
% 0.14/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37  fof(f21,negated_conjecture,(
% 0.14/0.37    (![X33,X34,X35]: (( p9(f8(X33,X34),X33)| p9(f8(X33,X34),f6(X34))| ~ p11(X35,c15)| ~ p9(c12,X33)| ~ p2(X34,f5(X35)) ) ))),
% 0.14/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37  fof(f22,negated_conjecture,(
% 0.14/0.37    (![X35,X33,X34]: (( ~ p11(X35,c15)| ~ p9(c12,X33)| ~ p2(X34,f5(X35))| ~ p9(f8(X33,X34),X33)| ~ p9(f8(X33,X34),f6(X34)) ) ))),
% 0.14/0.37    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37  fof(f24,plain,(
% 0.14/0.37    ![X0]: (p7(X0,X0))),
% 0.14/0.37    inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.37  fof(f25,plain,(
% 0.14/0.37    ![X0]: (p3(X0,X0))),
% 0.14/0.37    inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.37  fof(f26,plain,(
% 0.14/0.37    ![X0]: (p2(X0,X0))),
% 0.14/0.37    inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.37  fof(f27,plain,(
% 0.14/0.37    p9(c12,c13)),
% 0.14/0.37    inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.37  fof(f28,plain,(
% 0.14/0.37    p11(c14,c15)),
% 0.14/0.37    inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.37  fof(f30,plain,(
% 0.14/0.37    ![X0]: (p3(f6(f5(X0)),f6(X0)))),
% 0.14/0.37    inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.37  fof(f32,plain,(
% 0.14/0.37    ![X0]: (p9(X0,f6(c14))|~p9(X0,c13))),
% 0.14/0.37    inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.37  fof(f40,plain,(
% 0.14/0.37    ![X14,X12]: ((![X13]: (p3(X13,X14)|~p3(X12,X13)))|~p3(X12,X14))),
% 0.14/0.37    inference(miniscoping,[status(esa)],[f16])).
% 0.14/0.37  fof(f41,plain,(
% 0.14/0.37    ![X0,X1,X2]: (p3(X0,X1)|~p3(X2,X0)|~p3(X2,X1))),
% 0.14/0.37    inference(cnf_transformation,[status(esa)],[f40])).
% 0.14/0.37  fof(f46,plain,(
% 0.14/0.37    ![X29,X30]: ((![X31]: ((![X28]: (p9(X28,X29)|~p7(X31,X28)))|~p9(X31,X30)))|~p3(X30,X29))),
% 0.14/0.37    inference(miniscoping,[status(esa)],[f19])).
% 0.14/0.37  fof(f47,plain,(
% 0.14/0.37    ![X0,X1,X2,X3]: (p9(X0,X1)|~p7(X2,X0)|~p9(X2,X3)|~p3(X3,X1))),
% 0.14/0.37    inference(cnf_transformation,[status(esa)],[f46])).
% 0.14/0.37  fof(f50,plain,(
% 0.14/0.37    ![X34,X35]: ((![X33]: (((p9(f8(X33,X34),X33)|p9(f8(X33,X34),f6(X34)))|~p11(X35,c15))|~p9(c12,X33)))|~p2(X34,f5(X35)))),
% 0.14/0.37    inference(miniscoping,[status(esa)],[f21])).
% 0.14/0.37  fof(f51,plain,(
% 0.14/0.37    ![X0,X1,X2]: (p9(f8(X0,X1),X0)|p9(f8(X0,X1),f6(X1))|~p11(X2,c15)|~p9(c12,X0)|~p2(X1,f5(X2)))),
% 0.14/0.37    inference(cnf_transformation,[status(esa)],[f50])).
% 0.14/0.37  fof(f52,plain,(
% 0.14/0.37    ![X33,X34]: (((![X35]: ((~p11(X35,c15)|~p9(c12,X33))|~p2(X34,f5(X35))))|~p9(f8(X33,X34),X33))|~p9(f8(X33,X34),f6(X34)))),
% 0.14/0.37    inference(miniscoping,[status(esa)],[f22])).
% 0.14/0.37  fof(f53,plain,(
% 0.14/0.37    ![X0,X1,X2]: (~p11(X0,c15)|~p9(c12,X1)|~p2(X2,f5(X0))|~p9(f8(X1,X2),X1)|~p9(f8(X1,X2),f6(X2)))),
% 0.14/0.37    inference(cnf_transformation,[status(esa)],[f52])).
% 0.14/0.37  fof(f63,plain,(
% 0.14/0.37    ![X0,X1]: (~p9(c12,X0)|~p2(X1,f5(c14))|~p9(f8(X0,X1),X0)|~p9(f8(X0,X1),f6(X1)))),
% 0.14/0.37    inference(resolution,[status(thm)],[f53,f28])).
% 0.14/0.37  fof(f80,plain,(
% 0.14/0.37    spl0_4 <=> p9(c12,f6(f5(c14)))),
% 0.14/0.37    introduced(split_symbol_definition)).
% 0.14/0.37  fof(f82,plain,(
% 0.14/0.37    ~p9(c12,f6(f5(c14)))|spl0_4),
% 0.14/0.37    inference(component_clause,[status(thm)],[f80])).
% 0.14/0.37  fof(f86,plain,(
% 0.14/0.37    spl0_6 <=> p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14)))),
% 0.14/0.37    introduced(split_symbol_definition)).
% 0.14/0.37  fof(f87,plain,(
% 0.14/0.37    p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14)))|~spl0_6),
% 0.14/0.37    inference(component_clause,[status(thm)],[f86])).
% 0.14/0.37  fof(f88,plain,(
% 0.14/0.37    ~p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14)))|spl0_6),
% 0.14/0.37    inference(component_clause,[status(thm)],[f86])).
% 0.14/0.37  fof(f89,plain,(
% 0.14/0.37    spl0_7 <=> ~p11(X1,c15)|~p2(f5(c14),f5(X1))),
% 0.14/0.37    introduced(split_symbol_definition)).
% 0.14/0.37  fof(f90,plain,(
% 0.14/0.37    ![X0]: (~p11(X0,c15)|~p2(f5(c14),f5(X0))|~spl0_7)),
% 0.14/0.37    inference(component_clause,[status(thm)],[f89])).
% 0.14/0.37  fof(f94,plain,(
% 0.14/0.37    spl0_8 <=> p9(c12,c13)),
% 0.14/0.37    introduced(split_symbol_definition)).
% 0.14/0.37  fof(f96,plain,(
% 0.14/0.37    ~p9(c12,c13)|spl0_8),
% 0.14/0.37    inference(component_clause,[status(thm)],[f94])).
% 0.14/0.37  fof(f105,plain,(
% 0.14/0.37    spl0_11 <=> p9(c12,f6(c14))),
% 0.14/0.37    introduced(split_symbol_definition)).
% 0.14/0.37  fof(f106,plain,(
% 0.14/0.37    p9(c12,f6(c14))|~spl0_11),
% 0.14/0.37    inference(component_clause,[status(thm)],[f105])).
% 0.14/0.37  fof(f107,plain,(
% 0.14/0.37    ~p9(c12,f6(c14))|spl0_11),
% 0.14/0.37    inference(component_clause,[status(thm)],[f105])).
% 0.14/0.37  fof(f117,plain,(
% 0.14/0.37    $false|spl0_8),
% 0.14/0.37    inference(forward_subsumption_resolution,[status(thm)],[f96,f27])).
% 0.14/0.37  fof(f118,plain,(
% 0.14/0.37    spl0_8),
% 0.14/0.37    inference(contradiction_clause,[status(thm)],[f117])).
% 0.14/0.37  fof(f139,plain,(
% 0.14/0.37    ~p9(c12,c13)|spl0_11),
% 0.14/0.37    inference(resolution,[status(thm)],[f107,f32])).
% 0.14/0.37  fof(f140,plain,(
% 0.14/0.37    ~spl0_8|spl0_11),
% 0.14/0.37    inference(split_clause,[status(thm)],[f139,f94,f105])).
% 0.14/0.37  fof(f143,plain,(
% 0.14/0.37    ![X0,X1]: (~p7(X0,c12)|~p9(X0,X1)|~p3(X1,f6(f5(c14)))|spl0_4)),
% 0.14/0.37    inference(resolution,[status(thm)],[f82,f47])).
% 0.14/0.37  fof(f153,plain,(
% 0.14/0.37    ![X0]: (~p9(c12,X0)|~p3(X0,f6(f5(c14)))|spl0_4)),
% 0.14/0.37    inference(resolution,[status(thm)],[f143,f24])).
% 0.14/0.37  fof(f162,plain,(
% 0.14/0.37    ~p2(f5(c14),f5(c14))|~spl0_7),
% 0.14/0.37    inference(resolution,[status(thm)],[f90,f28])).
% 0.14/0.37  fof(f163,plain,(
% 0.14/0.37    $false|~spl0_7),
% 0.14/0.37    inference(forward_subsumption_resolution,[status(thm)],[f162,f26])).
% 0.14/0.37  fof(f164,plain,(
% 0.14/0.37    ~spl0_7),
% 0.14/0.37    inference(contradiction_clause,[status(thm)],[f163])).
% 0.14/0.37  fof(f178,plain,(
% 0.14/0.37    spl0_17 <=> p3(f6(c14),f6(f5(c14)))),
% 0.14/0.37    introduced(split_symbol_definition)).
% 0.14/0.37  fof(f180,plain,(
% 0.14/0.37    ~p3(f6(c14),f6(f5(c14)))|spl0_17),
% 0.14/0.37    inference(component_clause,[status(thm)],[f178])).
% 0.14/0.37  fof(f202,plain,(
% 0.14/0.37    ![X0]: (~p3(X0,f6(c14))|~p3(X0,f6(f5(c14)))|spl0_17)),
% 0.14/0.37    inference(resolution,[status(thm)],[f180,f41])).
% 0.14/0.37  fof(f217,plain,(
% 0.14/0.37    ~p3(f6(f5(c14)),f6(c14))|spl0_17),
% 0.14/0.37    inference(resolution,[status(thm)],[f202,f25])).
% 0.14/0.37  fof(f218,plain,(
% 0.14/0.37    $false|spl0_17),
% 0.14/0.37    inference(forward_subsumption_resolution,[status(thm)],[f217,f30])).
% 0.14/0.37  fof(f219,plain,(
% 0.14/0.37    spl0_17),
% 0.14/0.37    inference(contradiction_clause,[status(thm)],[f218])).
% 0.14/0.37  fof(f228,plain,(
% 0.14/0.37    spl0_20 <=> p2(f5(c14),f5(c14))),
% 0.14/0.37    introduced(split_symbol_definition)).
% 0.14/0.37  fof(f230,plain,(
% 0.14/0.37    ~p2(f5(c14),f5(c14))|spl0_20),
% 0.14/0.37    inference(component_clause,[status(thm)],[f228])).
% 0.14/0.37  fof(f231,plain,(
% 0.14/0.37    ~p9(c12,f6(f5(c14)))|~p2(f5(c14),f5(c14))|~p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14)))|~spl0_6),
% 0.14/0.37    inference(resolution,[status(thm)],[f87,f63])).
% 0.14/0.37  fof(f232,plain,(
% 0.14/0.37    ~spl0_4|~spl0_20|~spl0_6),
% 0.14/0.37    inference(split_clause,[status(thm)],[f231,f80,f228,f86])).
% 0.14/0.37  fof(f233,plain,(
% 0.14/0.37    $false|spl0_20),
% 0.14/0.37    inference(forward_subsumption_resolution,[status(thm)],[f230,f26])).
% 0.14/0.37  fof(f234,plain,(
% 0.14/0.37    spl0_20),
% 0.14/0.37    inference(contradiction_clause,[status(thm)],[f233])).
% 0.14/0.37  fof(f240,plain,(
% 0.14/0.37    ![X0]: (p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14)))|~p11(X0,c15)|~p9(c12,f6(f5(c14)))|~p2(f5(c14),f5(X0))|spl0_6)),
% 0.14/0.37    inference(resolution,[status(thm)],[f88,f51])).
% 0.14/0.37  fof(f241,plain,(
% 0.14/0.37    spl0_6|spl0_7|~spl0_4),
% 0.14/0.37    inference(split_clause,[status(thm)],[f240,f86,f89,f80])).
% 0.14/0.37  fof(f381,plain,(
% 0.14/0.37    ~p3(f6(c14),f6(f5(c14)))|spl0_4|~spl0_11),
% 0.14/0.37    inference(resolution,[status(thm)],[f153,f106])).
% 0.14/0.37  fof(f382,plain,(
% 0.14/0.37    ~spl0_17|spl0_4|~spl0_11),
% 0.14/0.37    inference(split_clause,[status(thm)],[f381,f178,f80,f105])).
% 0.14/0.37  fof(f391,plain,(
% 0.14/0.37    $false),
% 0.14/0.37    inference(sat_refutation,[status(thm)],[f118,f140,f164,f219,f232,f234,f241,f382])).
% 0.14/0.37  % SZS output end CNFRefutation for theBenchmark.p
% 0.34/0.59  % Elapsed time: 0.074093 seconds
% 0.34/0.59  % CPU time: 0.203972 seconds
% 0.34/0.59  % Memory used: 3.900 MB
%------------------------------------------------------------------------------