TSTP Solution File: SYN249-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN249-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:46:20 EDT 2023

% Result   : Unsatisfiable 0.19s 0.53s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SYN249-1 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n001.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 : Tue May 30 10:52:15 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.36  % Drodi V3.5.1
% 0.19/0.53  % Refutation found
% 0.19/0.53  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.53  % SZS output start CNFRefutation for theBenchmark
% 0.19/0.53  fof(f3,axiom,(
% 0.19/0.53    n0(d,e) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f14,axiom,(
% 0.19/0.53    (![X]: (p0(b,X) ))),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f17,axiom,(
% 0.19/0.53    (![X]: (q0(X,d) ))),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f19,axiom,(
% 0.19/0.53    (![X,Y]: (m0(X,d,Y) ))),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f26,axiom,(
% 0.19/0.53    n0(d,c) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f37,axiom,(
% 0.19/0.53    n0(b,a) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f39,axiom,(
% 0.19/0.53    (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f40,axiom,(
% 0.19/0.53    (![G,H]: (( l1(G,G)| ~ n0(H,G) ) ))),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f52,axiom,(
% 0.19/0.53    (![E,F,G]: (( m1(E,E,E)| ~ m0(F,G,E) ) ))),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f72,axiom,(
% 0.19/0.53    (![A,B]: (( m1(A,B,B)| ~ k1(a)| ~ k1(B)| ~ q0(A,A) ) ))),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f105,axiom,(
% 0.19/0.53    (![E,F]: (( p1(E,E,E)| ~ q0(F,E) ) ))),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f214,axiom,(
% 0.19/0.53    (![D,E]: (( p2(D,E,D)| ~ m1(E,D,E) ) ))),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f278,axiom,(
% 0.19/0.53    (![D,E,F]: (( n3(D)| ~ p2(E,F,D) ) ))),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f369,negated_conjecture,(
% 0.19/0.53    ~ m1(d,e,e) ),
% 0.19/0.53    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.53  fof(f372,plain,(
% 0.19/0.53    n0(d,e)),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.53  fof(f383,plain,(
% 0.19/0.53    ![X0]: (p0(b,X0))),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.53  fof(f386,plain,(
% 0.19/0.53    ![X0]: (q0(X0,d))),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.53  fof(f388,plain,(
% 0.19/0.53    ![X0,X1]: (m0(X0,d,X1))),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.53  fof(f395,plain,(
% 0.19/0.53    n0(d,c)),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f26])).
% 0.19/0.53  fof(f406,plain,(
% 0.19/0.53    n0(b,a)),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f37])).
% 0.19/0.53  fof(f408,plain,(
% 0.19/0.53    ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.19/0.53    inference(miniscoping,[status(esa)],[f39])).
% 0.19/0.53  fof(f409,plain,(
% 0.19/0.53    ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f408])).
% 0.19/0.53  fof(f410,plain,(
% 0.19/0.53    ![G]: (l1(G,G)|(![H]: ~n0(H,G)))),
% 0.19/0.53    inference(miniscoping,[status(esa)],[f40])).
% 0.19/0.53  fof(f411,plain,(
% 0.19/0.53    ![X0,X1]: (l1(X0,X0)|~n0(X1,X0))),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f410])).
% 0.19/0.53  fof(f430,plain,(
% 0.19/0.53    ![E]: (m1(E,E,E)|(![F,G]: ~m0(F,G,E)))),
% 0.19/0.53    inference(miniscoping,[status(esa)],[f52])).
% 0.19/0.53  fof(f431,plain,(
% 0.19/0.53    ![X0,X1,X2]: (m1(X0,X0,X0)|~m0(X1,X2,X0))),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f430])).
% 0.19/0.53  fof(f462,plain,(
% 0.19/0.53    ![A]: ((![B]: ((m1(A,B,B)|~k1(a))|~k1(B)))|~q0(A,A))),
% 0.19/0.53    inference(miniscoping,[status(esa)],[f72])).
% 0.19/0.53  fof(f463,plain,(
% 0.19/0.53    ![X0,X1]: (m1(X0,X1,X1)|~k1(a)|~k1(X1)|~q0(X0,X0))),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f462])).
% 0.19/0.53  fof(f515,plain,(
% 0.19/0.53    ![E]: (p1(E,E,E)|(![F]: ~q0(F,E)))),
% 0.19/0.53    inference(miniscoping,[status(esa)],[f105])).
% 0.19/0.53  fof(f516,plain,(
% 0.19/0.53    ![X0,X1]: (p1(X0,X0,X0)|~q0(X1,X0))),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f515])).
% 0.19/0.53  fof(f685,plain,(
% 0.19/0.53    ![X0,X1]: (p2(X0,X1,X0)|~m1(X1,X0,X1))),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f214])).
% 0.19/0.53  fof(f778,plain,(
% 0.19/0.53    ![D]: (n3(D)|(![E,F]: ~p2(E,F,D)))),
% 0.19/0.53    inference(miniscoping,[status(esa)],[f278])).
% 0.19/0.53  fof(f779,plain,(
% 0.19/0.53    ![X0,X1,X2]: (n3(X0)|~p2(X1,X2,X0))),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f778])).
% 0.19/0.53  fof(f924,plain,(
% 0.19/0.53    ~m1(d,e,e)),
% 0.19/0.53    inference(cnf_transformation,[status(esa)],[f369])).
% 0.19/0.53  fof(f956,plain,(
% 0.19/0.53    spl0_9 <=> l1(c,c)),
% 0.19/0.53    introduced(split_symbol_definition)).
% 0.19/0.53  fof(f958,plain,(
% 0.19/0.53    ~l1(c,c)|spl0_9),
% 0.19/0.53    inference(component_clause,[status(thm)],[f956])).
% 0.19/0.53  fof(f1041,plain,(
% 0.19/0.53    spl0_33 <=> m1(X0,X1,X1)|~k1(X1)|~q0(X0,X0)),
% 0.19/0.53    introduced(split_symbol_definition)).
% 0.19/0.53  fof(f1042,plain,(
% 0.19/0.53    ![X0,X1]: (m1(X0,X1,X1)|~k1(X1)|~q0(X0,X0)|~spl0_33)),
% 0.19/0.53    inference(component_clause,[status(thm)],[f1041])).
% 0.19/0.53  fof(f1044,plain,(
% 0.19/0.53    spl0_34 <=> k1(a)),
% 0.19/0.53    introduced(split_symbol_definition)).
% 0.19/0.53  fof(f1046,plain,(
% 0.19/0.53    ~k1(a)|spl0_34),
% 0.19/0.53    inference(component_clause,[status(thm)],[f1044])).
% 0.19/0.53  fof(f1047,plain,(
% 0.19/0.53    spl0_33|~spl0_34),
% 0.19/0.53    inference(split_clause,[status(thm)],[f463,f1041,f1044])).
% 0.19/0.53  fof(f1065,plain,(
% 0.19/0.53    spl0_40 <=> q0(d,d)),
% 0.19/0.53    introduced(split_symbol_definition)).
% 0.19/0.53  fof(f1067,plain,(
% 0.19/0.53    ~q0(d,d)|spl0_40),
% 0.19/0.53    inference(component_clause,[status(thm)],[f1065])).
% 0.19/0.53  fof(f1346,plain,(
% 0.19/0.53    spl0_118 <=> k1(c)),
% 0.19/0.53    introduced(split_symbol_definition)).
% 0.19/0.53  fof(f1348,plain,(
% 0.19/0.53    ~k1(c)|spl0_118),
% 0.19/0.53    inference(component_clause,[status(thm)],[f1346])).
% 0.19/0.53  fof(f1515,plain,(
% 0.19/0.53    spl0_167 <=> k1(e)),
% 0.19/0.53    introduced(split_symbol_definition)).
% 0.19/0.53  fof(f1517,plain,(
% 0.19/0.53    ~k1(e)|spl0_167),
% 0.19/0.53    inference(component_clause,[status(thm)],[f1515])).
% 0.19/0.53  fof(f1803,plain,(
% 0.19/0.53    spl0_249 <=> n3(e)),
% 0.19/0.53    introduced(split_symbol_definition)).
% 0.19/0.53  fof(f1805,plain,(
% 0.19/0.53    ~n3(e)|spl0_249),
% 0.19/0.53    inference(component_clause,[status(thm)],[f1803])).
% 0.19/0.53  fof(f1869,plain,(
% 0.19/0.53    spl0_268 <=> n3(a)),
% 0.19/0.53    introduced(split_symbol_definition)).
% 0.19/0.53  fof(f1871,plain,(
% 0.19/0.53    ~n3(a)|spl0_268),
% 0.19/0.53    inference(component_clause,[status(thm)],[f1869])).
% 0.19/0.53  fof(f1997,plain,(
% 0.19/0.53    $false|spl0_40),
% 0.19/0.53    inference(forward_subsumption_resolution,[status(thm)],[f1067,f386])).
% 0.19/0.53  fof(f1998,plain,(
% 0.19/0.53    spl0_40),
% 0.19/0.53    inference(contradiction_clause,[status(thm)],[f1997])).
% 0.19/0.53  fof(f2075,plain,(
% 0.19/0.53    ![X0]: (m1(X0,X0,X0))),
% 0.19/0.53    inference(resolution,[status(thm)],[f388,f431])).
% 0.19/0.53  fof(f2171,plain,(
% 0.19/0.53    ![X0]: (p2(X0,X0,X0))),
% 0.19/0.53    inference(resolution,[status(thm)],[f2075,f685])).
% 0.19/0.53  fof(f2355,plain,(
% 0.19/0.53    k1(a)),
% 0.19/0.53    inference(resolution,[status(thm)],[f406,f409])).
% 0.19/0.53  fof(f2356,plain,(
% 0.19/0.53    $false|spl0_34),
% 0.19/0.53    inference(forward_subsumption_resolution,[status(thm)],[f2355,f1046])).
% 0.19/0.53  fof(f2357,plain,(
% 0.19/0.53    spl0_34),
% 0.19/0.53    inference(contradiction_clause,[status(thm)],[f2356])).
% 0.19/0.53  fof(f2397,plain,(
% 0.19/0.53    spl0_342 <=> ~n0(X1,a)),
% 0.19/0.53    introduced(split_symbol_definition)).
% 0.19/0.53  fof(f2398,plain,(
% 0.19/0.53    ![X0]: (~n0(X0,a)|~spl0_342)),
% 0.19/0.53    inference(component_clause,[status(thm)],[f2397])).
% 0.19/0.53  fof(f2414,plain,(
% 0.19/0.53    spl0_346 <=> ~p0(X2,a)),
% 0.19/0.53    introduced(split_symbol_definition)).
% 0.19/0.53  fof(f2415,plain,(
% 0.19/0.53    ![X0]: (~p0(X0,a)|~spl0_346)),
% 0.19/0.53    inference(component_clause,[status(thm)],[f2414])).
% 0.19/0.53  fof(f2573,plain,(
% 0.19/0.53    k1(e)),
% 0.19/0.53    inference(resolution,[status(thm)],[f372,f409])).
% 0.19/0.53  fof(f2574,plain,(
% 0.19/0.53    $false|spl0_167),
% 0.19/0.53    inference(forward_subsumption_resolution,[status(thm)],[f2573,f1517])).
% 0.19/0.53  fof(f2575,plain,(
% 0.19/0.53    spl0_167),
% 0.19/0.53    inference(contradiction_clause,[status(thm)],[f2574])).
% 0.19/0.53  fof(f2576,plain,(
% 0.19/0.53    l1(c,c)),
% 0.19/0.53    inference(resolution,[status(thm)],[f395,f411])).
% 0.19/0.53  fof(f2577,plain,(
% 0.19/0.53    $false|spl0_9),
% 0.19/0.53    inference(forward_subsumption_resolution,[status(thm)],[f2576,f958])).
% 0.19/0.53  fof(f2578,plain,(
% 0.19/0.53    spl0_9),
% 0.19/0.53    inference(contradiction_clause,[status(thm)],[f2577])).
% 0.19/0.53  fof(f2579,plain,(
% 0.19/0.53    k1(c)),
% 0.19/0.53    inference(resolution,[status(thm)],[f395,f409])).
% 0.19/0.53  fof(f2580,plain,(
% 0.19/0.53    $false|spl0_118),
% 0.19/0.53    inference(forward_subsumption_resolution,[status(thm)],[f2579,f1348])).
% 0.19/0.53  fof(f2581,plain,(
% 0.19/0.53    spl0_118),
% 0.19/0.53    inference(contradiction_clause,[status(thm)],[f2580])).
% 0.19/0.53  fof(f2620,plain,(
% 0.19/0.53    ![X0]: (n3(X0))),
% 0.19/0.53    inference(resolution,[status(thm)],[f779,f2171])).
% 0.19/0.53  fof(f2622,plain,(
% 0.19/0.53    $false|spl0_249),
% 0.19/0.53    inference(backward_subsumption_resolution,[status(thm)],[f1805,f2620])).
% 0.19/0.53  fof(f2623,plain,(
% 0.19/0.53    spl0_249),
% 0.19/0.53    inference(contradiction_clause,[status(thm)],[f2622])).
% 0.19/0.53  fof(f2624,plain,(
% 0.19/0.53    $false|spl0_268),
% 0.19/0.53    inference(backward_subsumption_resolution,[status(thm)],[f1871,f2620])).
% 0.19/0.53  fof(f2625,plain,(
% 0.19/0.53    spl0_268),
% 0.19/0.53    inference(contradiction_clause,[status(thm)],[f2624])).
% 0.19/0.53  fof(f2636,plain,(
% 0.19/0.53    spl0_361 <=> p1(d,d,d)),
% 0.19/0.53    introduced(split_symbol_definition)).
% 0.19/0.53  fof(f2638,plain,(
% 0.19/0.53    ~p1(d,d,d)|spl0_361),
% 0.19/0.53    inference(component_clause,[status(thm)],[f2636])).
% 0.19/0.53  fof(f2664,plain,(
% 0.19/0.53    ![X0]: (~q0(X0,d)|spl0_361)),
% 0.19/0.53    inference(resolution,[status(thm)],[f2638,f516])).
% 0.19/0.53  fof(f2665,plain,(
% 0.19/0.53    $false|spl0_361),
% 0.19/0.53    inference(forward_subsumption_resolution,[status(thm)],[f2664,f386])).
% 0.19/0.53  fof(f2666,plain,(
% 0.19/0.53    spl0_361),
% 0.19/0.53    inference(contradiction_clause,[status(thm)],[f2665])).
% 0.19/0.53  fof(f2749,plain,(
% 0.19/0.53    $false|~spl0_342),
% 0.19/0.53    inference(backward_subsumption_resolution,[status(thm)],[f406,f2398])).
% 0.19/0.53  fof(f2750,plain,(
% 0.19/0.53    ~spl0_342),
% 0.19/0.53    inference(contradiction_clause,[status(thm)],[f2749])).
% 0.19/0.53  fof(f2751,plain,(
% 0.19/0.53    $false|~spl0_346),
% 0.19/0.53    inference(resolution,[status(thm)],[f2415,f383])).
% 0.19/0.53  fof(f2752,plain,(
% 0.19/0.53    ~spl0_346),
% 0.19/0.53    inference(contradiction_clause,[status(thm)],[f2751])).
% 0.19/0.53  fof(f2763,plain,(
% 0.19/0.53    ~k1(e)|~q0(d,d)|~spl0_33),
% 0.19/0.53    inference(resolution,[status(thm)],[f1042,f924])).
% 0.19/0.53  fof(f2764,plain,(
% 0.19/0.53    ~spl0_167|~spl0_40|~spl0_33),
% 0.19/0.53    inference(split_clause,[status(thm)],[f2763,f1515,f1065,f1041])).
% 0.19/0.53  fof(f2790,plain,(
% 0.19/0.53    $false),
% 0.19/0.53    inference(sat_refutation,[status(thm)],[f1047,f1998,f2357,f2575,f2578,f2581,f2623,f2625,f2666,f2750,f2752,f2764])).
% 0.19/0.53  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.55  % Elapsed time: 0.204155 seconds
% 0.19/0.55  % CPU time: 1.387585 seconds
% 0.19/0.55  % Memory used: 51.370 MB
%------------------------------------------------------------------------------