TSTP Solution File: SYN216-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SYN216-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:51:36 EDT 2024

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN216-1 : TPTP v8.1.2. Released v1.1.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n009.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Apr 29 21:52:26 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.19/0.40  % Refutation found
% 0.19/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.40  % SZS output start CNFRefutation for theBenchmark
% 0.19/0.40  fof(f5,axiom,(
% 0.19/0.40    s0(b) ),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f12,axiom,(
% 0.19/0.40    (![X]: (m0(a,X,a) ))),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f14,axiom,(
% 0.19/0.40    (![X]: (p0(b,X) ))),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f20,axiom,(
% 0.19/0.40    l0(a) ),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f32,axiom,(
% 0.19/0.40    k0(b) ),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f36,axiom,(
% 0.19/0.40    q0(a,b) ),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f38,axiom,(
% 0.19/0.40    m0(b,a,a) ),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f54,axiom,(
% 0.19/0.40    (![H,I,J,A]: (( m1(H,I,I)| ~ m1(J,I,H)| ~ m1(J,A,I) ) ))),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f59,axiom,(
% 0.19/0.40    (![I,J]: (( m1(I,J,I)| ~ l0(I)| ~ k0(J) ) ))),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f62,axiom,(
% 0.19/0.40    (![F,G,H]: (( m1(F,a,G)| ~ m0(a,H,a)| ~ q0(F,G)| ~ m1(G,c,G) ) ))),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f67,axiom,(
% 0.19/0.40    (![H,I]: (( m1(H,I,H)| ~ p0(H,I)| ~ s0(H) ) ))),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f172,axiom,(
% 0.19/0.40    (![G,H,I]: (( l2(G,G)| ~ m0(H,G,I)| ~ m1(I,H,H)| ~ p0(H,G) ) ))),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f369,negated_conjecture,(
% 0.19/0.40    ~ l2(a,a) ),
% 0.19/0.40    file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.40  fof(f374,plain,(
% 0.19/0.40    s0(b)),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.40  fof(f381,plain,(
% 0.19/0.40    ![X0]: (m0(a,X0,a))),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.40  fof(f383,plain,(
% 0.19/0.40    ![X0]: (p0(b,X0))),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.40  fof(f389,plain,(
% 0.19/0.40    l0(a)),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.40  fof(f401,plain,(
% 0.19/0.40    k0(b)),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f32])).
% 0.19/0.40  fof(f405,plain,(
% 0.19/0.40    q0(a,b)),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f36])).
% 0.19/0.40  fof(f407,plain,(
% 0.19/0.40    m0(b,a,a)),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f38])).
% 0.19/0.40  fof(f434,plain,(
% 0.19/0.40    ![I,J]: ((![H]: (m1(H,I,I)|~m1(J,I,H)))|(![A]: ~m1(J,A,I)))),
% 0.19/0.40    inference(miniscoping,[status(esa)],[f54])).
% 0.19/0.40  fof(f435,plain,(
% 0.19/0.40    ![X0,X1,X2,X3]: (m1(X0,X1,X1)|~m1(X2,X1,X0)|~m1(X2,X3,X1))),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f434])).
% 0.19/0.40  fof(f442,plain,(
% 0.19/0.40    ![J]: ((![I]: (m1(I,J,I)|~l0(I)))|~k0(J))),
% 0.19/0.40    inference(miniscoping,[status(esa)],[f59])).
% 0.19/0.40  fof(f443,plain,(
% 0.19/0.40    ![X0,X1]: (m1(X0,X1,X0)|~l0(X0)|~k0(X1))),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f442])).
% 0.19/0.40  fof(f446,plain,(
% 0.19/0.40    ![G]: ((![F]: ((m1(F,a,G)|(![H]: ~m0(a,H,a)))|~q0(F,G)))|~m1(G,c,G))),
% 0.19/0.40    inference(miniscoping,[status(esa)],[f62])).
% 0.19/0.40  fof(f447,plain,(
% 0.19/0.40    ![X0,X1,X2]: (m1(X0,a,X1)|~m0(a,X2,a)|~q0(X0,X1)|~m1(X1,c,X1))),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f446])).
% 0.19/0.40  fof(f454,plain,(
% 0.19/0.40    ![H]: ((![I]: (m1(H,I,H)|~p0(H,I)))|~s0(H))),
% 0.19/0.40    inference(miniscoping,[status(esa)],[f67])).
% 0.19/0.40  fof(f455,plain,(
% 0.19/0.40    ![X0,X1]: (m1(X0,X1,X0)|~p0(X0,X1)|~s0(X0))),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f454])).
% 0.19/0.40  fof(f621,plain,(
% 0.19/0.40    ![G,H]: ((![I]: ((l2(G,G)|~m0(H,G,I))|~m1(I,H,H)))|~p0(H,G))),
% 0.19/0.40    inference(miniscoping,[status(esa)],[f172])).
% 0.19/0.40  fof(f622,plain,(
% 0.19/0.40    ![X0,X1,X2]: (l2(X0,X0)|~m0(X1,X0,X2)|~m1(X2,X1,X1)|~p0(X1,X0))),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f621])).
% 0.19/0.40  fof(f924,plain,(
% 0.19/0.40    ~l2(a,a)),
% 0.19/0.40    inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.40  fof(f1009,plain,(
% 0.19/0.40    spl0_24 <=> m1(X0,a,X1)|~q0(X0,X1)|~m1(X1,c,X1)),
% 0.19/0.40    introduced(split_symbol_definition)).
% 0.19/0.40  fof(f1010,plain,(
% 0.19/0.40    ![X0,X1]: (m1(X0,a,X1)|~q0(X0,X1)|~m1(X1,c,X1)|~spl0_24)),
% 0.19/0.40    inference(component_clause,[status(thm)],[f1009])).
% 0.19/0.40  fof(f1012,plain,(
% 0.19/0.40    spl0_25 <=> ~m0(a,X2,a)),
% 0.19/0.40    introduced(split_symbol_definition)).
% 0.19/0.40  fof(f1013,plain,(
% 0.19/0.40    ![X0]: (~m0(a,X0,a)|~spl0_25)),
% 0.19/0.40    inference(component_clause,[status(thm)],[f1012])).
% 0.19/0.40  fof(f1015,plain,(
% 0.19/0.40    spl0_24|spl0_25),
% 0.19/0.40    inference(split_clause,[status(thm)],[f447,f1009,f1012])).
% 0.19/0.40  fof(f2148,plain,(
% 0.19/0.41    ![X0,X1,X2,X3,X4]: (~m1(X0,X1,X2)|~m1(X0,X3,X1)|l2(X4,X4)|~m0(X1,X4,X2)|~p0(X1,X4))),
% 0.19/0.41    inference(resolution,[status(thm)],[f435,f622])).
% 0.19/0.41  fof(f2149,plain,(
% 0.19/0.41    ![X0,X1,X2,X3]: (~m1(X0,X1,X2)|~m1(X0,X3,X1)|~m0(X1,a,X2)|~p0(X1,a))),
% 0.19/0.41    inference(resolution,[status(thm)],[f2148,f924])).
% 0.19/0.41  fof(f2169,plain,(
% 0.19/0.41    ![X0]: (m1(X0,b,X0)|~l0(X0))),
% 0.19/0.41    inference(resolution,[status(thm)],[f443,f401])).
% 0.19/0.41  fof(f2202,plain,(
% 0.19/0.41    ![X0,X1,X2]: (~m1(X0,b,X1)|~m1(X0,X2,b)|~m0(b,a,X1))),
% 0.19/0.41    inference(resolution,[status(thm)],[f2149,f383])).
% 0.19/0.41  fof(f2203,plain,(
% 0.19/0.41    ![X0,X1]: (~m1(X0,b,a)|~m1(X0,X1,b))),
% 0.19/0.41    inference(resolution,[status(thm)],[f2202,f407])).
% 0.19/0.41  fof(f2216,plain,(
% 0.19/0.41    ![X0]: (m1(b,X0,b)|~p0(b,X0))),
% 0.19/0.41    inference(resolution,[status(thm)],[f455,f374])).
% 0.19/0.41  fof(f2217,plain,(
% 0.19/0.41    ![X0]: (m1(b,X0,b))),
% 0.19/0.41    inference(forward_subsumption_resolution,[status(thm)],[f2216,f383])).
% 0.19/0.41  fof(f2296,plain,(
% 0.19/0.41    m1(a,b,a)),
% 0.19/0.41    inference(resolution,[status(thm)],[f2169,f389])).
% 0.19/0.41  fof(f2298,plain,(
% 0.19/0.41    ![X0]: (~m1(a,X0,b))),
% 0.19/0.41    inference(resolution,[status(thm)],[f2296,f2203])).
% 0.19/0.41  fof(f2358,plain,(
% 0.19/0.41    spl0_323 <=> q0(a,b)),
% 0.19/0.41    introduced(split_symbol_definition)).
% 0.19/0.41  fof(f2360,plain,(
% 0.19/0.41    ~q0(a,b)|spl0_323),
% 0.19/0.41    inference(component_clause,[status(thm)],[f2358])).
% 0.19/0.41  fof(f2361,plain,(
% 0.19/0.41    spl0_324 <=> m1(b,c,b)),
% 0.19/0.41    introduced(split_symbol_definition)).
% 0.19/0.41  fof(f2363,plain,(
% 0.19/0.41    ~m1(b,c,b)|spl0_324),
% 0.19/0.41    inference(component_clause,[status(thm)],[f2361])).
% 0.19/0.41  fof(f2364,plain,(
% 0.19/0.41    ~q0(a,b)|~m1(b,c,b)|~spl0_24),
% 0.19/0.41    inference(resolution,[status(thm)],[f1010,f2298])).
% 0.19/0.41  fof(f2365,plain,(
% 0.19/0.41    ~spl0_323|~spl0_324|~spl0_24),
% 0.19/0.41    inference(split_clause,[status(thm)],[f2364,f2358,f2361,f1009])).
% 0.19/0.41  fof(f2384,plain,(
% 0.19/0.41    $false|spl0_323),
% 0.19/0.41    inference(forward_subsumption_resolution,[status(thm)],[f2360,f405])).
% 0.19/0.41  fof(f2385,plain,(
% 0.19/0.41    spl0_323),
% 0.19/0.41    inference(contradiction_clause,[status(thm)],[f2384])).
% 0.19/0.41  fof(f2388,plain,(
% 0.19/0.41    $false|spl0_324),
% 0.19/0.41    inference(forward_subsumption_resolution,[status(thm)],[f2363,f2217])).
% 0.19/0.41  fof(f2389,plain,(
% 0.19/0.41    spl0_324),
% 0.19/0.41    inference(contradiction_clause,[status(thm)],[f2388])).
% 0.19/0.41  fof(f2390,plain,(
% 0.19/0.41    $false|~spl0_25),
% 0.19/0.41    inference(forward_subsumption_resolution,[status(thm)],[f1013,f381])).
% 0.19/0.41  fof(f2391,plain,(
% 0.19/0.41    ~spl0_25),
% 0.19/0.41    inference(contradiction_clause,[status(thm)],[f2390])).
% 0.19/0.41  fof(f2392,plain,(
% 0.19/0.41    $false),
% 0.19/0.41    inference(sat_refutation,[status(thm)],[f1015,f2365,f2385,f2389,f2391])).
% 0.19/0.41  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.41  % Elapsed time: 0.075813 seconds
% 0.19/0.41  % CPU time: 0.437055 seconds
% 0.19/0.41  % Total memory used: 53.229 MB
% 0.19/0.41  % Net memory used: 52.565 MB
%------------------------------------------------------------------------------