TSTP Solution File: SYN300-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN300-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 20:51:48 EDT 2024

% Result   : Unsatisfiable 0.21s 0.46s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN300-1 : TPTP v8.1.2. Released v1.1.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n015.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 22:14:32 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.37  % Drodi V3.6.0
% 0.21/0.46  % Refutation found
% 0.21/0.46  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.46  % SZS output start CNFRefutation for theBenchmark
% 0.21/0.46  fof(f6,axiom,(
% 0.21/0.46    q0(b,b) ),
% 0.21/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.46  fof(f14,axiom,(
% 0.21/0.46    (![X]: (p0(b,X) ))),
% 0.21/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.46  fof(f15,axiom,(
% 0.21/0.46    n0(a,b) ),
% 0.21/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.46  fof(f19,axiom,(
% 0.21/0.46    (![X,Y]: (m0(X,d,Y) ))),
% 0.21/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.46  fof(f40,axiom,(
% 0.21/0.46    (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.21/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.46  fof(f163,axiom,(
% 0.21/0.46    (![I]: (( s1(I)| ~ p0(I,I) ) ))),
% 0.21/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.46  fof(f164,axiom,(
% 0.21/0.46    (![F,G,H]: (( s1(F)| ~ q0(F,G)| ~ s1(H) ) ))),
% 0.21/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.46  fof(f224,axiom,(
% 0.21/0.46    (![G,H]: (( q2(G,G,H)| ~ l1(H,G) ) ))),
% 0.21/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.46  fof(f227,axiom,(
% 0.21/0.46    (![H]: (( s2(H)| ~ q2(b,H,b)| ~ s1(b) ) ))),
% 0.21/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.46  fof(f311,axiom,(
% 0.21/0.46    (![I,J,A,B]: (( s3(I,J)| ~ q2(A,I,A)| ~ s2(I)| ~ m0(A,B,J) ) ))),
% 0.21/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.46  fof(f369,negated_conjecture,(
% 0.21/0.46    ~ s3(b,d) ),
% 0.21/0.46    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.46  fof(f375,plain,(
% 0.21/0.46    q0(b,b)),
% 0.21/0.46    inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.46  fof(f383,plain,(
% 0.21/0.46    ![X0]: (p0(b,X0))),
% 0.21/0.46    inference(cnf_transformation,[status(esa)],[f14])).
% 0.21/0.46  fof(f384,plain,(
% 0.21/0.46    n0(a,b)),
% 0.21/0.46    inference(cnf_transformation,[status(esa)],[f15])).
% 0.21/0.46  fof(f388,plain,(
% 0.21/0.46    ![X0,X1]: (m0(X0,d,X1))),
% 0.21/0.46    inference(cnf_transformation,[status(esa)],[f19])).
% 0.21/0.46  fof(f410,plain,(
% 0.21/0.46    ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.21/0.46    inference(miniscoping,[status(esa)],[f40])).
% 0.21/0.46  fof(f411,plain,(
% 0.21/0.46    ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.21/0.46    inference(cnf_transformation,[status(esa)],[f410])).
% 0.21/0.46  fof(f607,plain,(
% 0.21/0.46    ![X0]: (s1(X0)|~p0(X0,X0))),
% 0.21/0.46    inference(cnf_transformation,[status(esa)],[f163])).
% 0.21/0.46  fof(f608,plain,(
% 0.21/0.46    (![F]: (s1(F)|(![G]: ~q0(F,G))))|(![H]: ~s1(H))),
% 0.21/0.46    inference(miniscoping,[status(esa)],[f164])).
% 0.21/0.46  fof(f609,plain,(
% 0.21/0.46    ![X0,X1,X2]: (s1(X0)|~q0(X0,X1)|~s1(X2))),
% 0.21/0.46    inference(cnf_transformation,[status(esa)],[f608])).
% 0.21/0.46  fof(f699,plain,(
% 0.21/0.46    ![X0,X1]: (q2(X0,X0,X1)|~l1(X1,X0))),
% 0.21/0.46    inference(cnf_transformation,[status(esa)],[f224])).
% 0.21/0.46  fof(f703,plain,(
% 0.21/0.46    (![H]: (s2(H)|~q2(b,H,b)))|~s1(b)),
% 0.21/0.46    inference(miniscoping,[status(esa)],[f227])).
% 0.21/0.46  fof(f704,plain,(
% 0.21/0.46    ![X0]: (s2(X0)|~q2(b,X0,b)|~s1(b))),
% 0.21/0.46    inference(cnf_transformation,[status(esa)],[f703])).
% 0.21/0.46  fof(f830,plain,(
% 0.21/0.46    ![J,A]: ((![I]: ((s3(I,J)|~q2(A,I,A))|~s2(I)))|(![B]: ~m0(A,B,J)))),
% 0.21/0.46    inference(miniscoping,[status(esa)],[f311])).
% 0.21/0.46  fof(f831,plain,(
% 0.21/0.46    ![X0,X1,X2,X3]: (s3(X0,X1)|~q2(X2,X0,X2)|~s2(X0)|~m0(X2,X3,X1))),
% 0.21/0.46    inference(cnf_transformation,[status(esa)],[f830])).
% 0.21/0.46  fof(f924,plain,(
% 0.21/0.46    ~s3(b,d)),
% 0.21/0.46    inference(cnf_transformation,[status(esa)],[f369])).
% 0.21/0.46  fof(f1304,plain,(
% 0.21/0.46    spl0_106 <=> s1(X0)|~q0(X0,X1)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1305,plain,(
% 0.21/0.46    ![X0,X1]: (s1(X0)|~q0(X0,X1)|~spl0_106)),
% 0.21/0.46    inference(component_clause,[status(thm)],[f1304])).
% 0.21/0.46  fof(f1307,plain,(
% 0.21/0.46    spl0_107 <=> ~s1(X2)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1308,plain,(
% 0.21/0.46    ![X0]: (~s1(X0)|~spl0_107)),
% 0.21/0.46    inference(component_clause,[status(thm)],[f1307])).
% 0.21/0.46  fof(f1310,plain,(
% 0.21/0.46    spl0_106|spl0_107),
% 0.21/0.46    inference(split_clause,[status(thm)],[f609,f1304,f1307])).
% 0.21/0.46  fof(f1540,plain,(
% 0.21/0.46    spl0_174 <=> s2(X0)|~q2(b,X0,b)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1541,plain,(
% 0.21/0.46    ![X0]: (s2(X0)|~q2(b,X0,b)|~spl0_174)),
% 0.21/0.46    inference(component_clause,[status(thm)],[f1540])).
% 0.21/0.46  fof(f1543,plain,(
% 0.21/0.46    spl0_175 <=> s1(b)),
% 0.21/0.46    introduced(split_symbol_definition)).
% 0.21/0.46  fof(f1545,plain,(
% 0.21/0.46    ~s1(b)|spl0_175),
% 0.21/0.46    inference(component_clause,[status(thm)],[f1543])).
% 0.21/0.46  fof(f1546,plain,(
% 0.21/0.46    spl0_174|~spl0_175),
% 0.21/0.46    inference(split_clause,[status(thm)],[f704,f1540,f1543])).
% 0.21/0.46  fof(f2077,plain,(
% 0.21/0.46    ![X0]: (~p0(X0,X0)|~spl0_107)),
% 0.21/0.46    inference(forward_subsumption_resolution,[status(thm)],[f607,f1308])).
% 0.21/0.46  fof(f2078,plain,(
% 0.21/0.48    $false|~spl0_107),
% 0.21/0.48    inference(resolution,[status(thm)],[f2077,f383])).
% 0.21/0.48  fof(f2079,plain,(
% 0.21/0.48    ~spl0_107),
% 0.21/0.48    inference(contradiction_clause,[status(thm)],[f2078])).
% 0.21/0.48  fof(f2104,plain,(
% 0.21/0.48    ![X0]: (~q0(b,X0)|~spl0_106|spl0_175)),
% 0.21/0.48    inference(resolution,[status(thm)],[f1305,f1545])).
% 0.21/0.48  fof(f2107,plain,(
% 0.21/0.48    $false|~spl0_106|spl0_175),
% 0.21/0.48    inference(backward_subsumption_resolution,[status(thm)],[f375,f2104])).
% 0.21/0.48  fof(f2108,plain,(
% 0.21/0.48    ~spl0_106|spl0_175),
% 0.21/0.48    inference(contradiction_clause,[status(thm)],[f2107])).
% 0.21/0.48  fof(f2293,plain,(
% 0.21/0.48    ![X0,X1,X2,X3]: (~q2(b,X0,b)|s3(X0,X1)|~q2(X2,X0,X2)|~m0(X2,X3,X1)|~spl0_174)),
% 0.21/0.48    inference(resolution,[status(thm)],[f1541,f831])).
% 0.21/0.48  fof(f2302,plain,(
% 0.21/0.48    spl0_307 <=> q2(b,b,b)),
% 0.21/0.48    introduced(split_symbol_definition)).
% 0.21/0.48  fof(f2303,plain,(
% 0.21/0.48    q2(b,b,b)|~spl0_307),
% 0.21/0.48    inference(component_clause,[status(thm)],[f2302])).
% 0.21/0.48  fof(f2304,plain,(
% 0.21/0.48    ~q2(b,b,b)|spl0_307),
% 0.21/0.48    inference(component_clause,[status(thm)],[f2302])).
% 0.21/0.48  fof(f2305,plain,(
% 0.21/0.48    spl0_308 <=> ~q2(X0,b,X0)|~m0(X0,X1,d)),
% 0.21/0.48    introduced(split_symbol_definition)).
% 0.21/0.48  fof(f2306,plain,(
% 0.21/0.48    ![X0,X1]: (~q2(X0,b,X0)|~m0(X0,X1,d)|~spl0_308)),
% 0.21/0.48    inference(component_clause,[status(thm)],[f2305])).
% 0.21/0.48  fof(f2308,plain,(
% 0.21/0.48    ![X0,X1]: (~q2(b,b,b)|~q2(X0,b,X0)|~m0(X0,X1,d)|~spl0_174)),
% 0.21/0.48    inference(resolution,[status(thm)],[f2293,f924])).
% 0.21/0.48  fof(f2309,plain,(
% 0.21/0.48    ~spl0_307|spl0_308|~spl0_174),
% 0.21/0.48    inference(split_clause,[status(thm)],[f2308,f2302,f2305,f1540])).
% 0.21/0.48  fof(f2311,plain,(
% 0.21/0.48    ~l1(b,b)|spl0_307),
% 0.21/0.48    inference(resolution,[status(thm)],[f2304,f699])).
% 0.21/0.48  fof(f2317,plain,(
% 0.21/0.48    ![X0]: (~q2(X0,b,X0)|~spl0_308)),
% 0.21/0.48    inference(resolution,[status(thm)],[f2306,f388])).
% 0.21/0.48  fof(f2326,plain,(
% 0.21/0.48    ![X0]: (~n0(X0,b)|spl0_307)),
% 0.21/0.48    inference(resolution,[status(thm)],[f2311,f411])).
% 0.21/0.48  fof(f2327,plain,(
% 0.21/0.48    $false|spl0_307),
% 0.21/0.48    inference(backward_subsumption_resolution,[status(thm)],[f384,f2326])).
% 0.21/0.48  fof(f2328,plain,(
% 0.21/0.48    spl0_307),
% 0.21/0.48    inference(contradiction_clause,[status(thm)],[f2327])).
% 0.21/0.48  fof(f2329,plain,(
% 0.21/0.48    $false|~spl0_308|~spl0_307),
% 0.21/0.48    inference(backward_subsumption_resolution,[status(thm)],[f2303,f2317])).
% 0.21/0.48  fof(f2330,plain,(
% 0.21/0.48    ~spl0_308|~spl0_307),
% 0.21/0.48    inference(contradiction_clause,[status(thm)],[f2329])).
% 0.21/0.48  fof(f2331,plain,(
% 0.21/0.48    $false),
% 0.21/0.48    inference(sat_refutation,[status(thm)],[f1310,f1546,f2079,f2108,f2309,f2328,f2330])).
% 0.21/0.48  % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.48  % Elapsed time: 0.126186 seconds
% 0.21/0.48  % CPU time: 0.808384 seconds
% 0.21/0.48  % Total memory used: 58.500 MB
% 0.21/0.48  % Net memory used: 57.467 MB
%------------------------------------------------------------------------------