TSTP Solution File: SYN248-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN248-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 0.11s 0.37s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SYN248-1 : TPTP v8.1.2. Released v1.1.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.27 % Computer : n029.cluster.edu
% 0.06/0.27 % Model : x86_64 x86_64
% 0.06/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.27 % Memory : 8042.1875MB
% 0.06/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.27 % CPULimit : 300
% 0.06/0.27 % WCLimit : 300
% 0.06/0.27 % DateTime : Tue May 30 10:43:06 EDT 2023
% 0.06/0.27 % CPUTime :
% 0.06/0.28 % Drodi V3.5.1
% 0.11/0.37 % Refutation found
% 0.11/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.37 fof(f14,axiom,(
% 0.11/0.37 (![X]: (p0(b,X) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f17,axiom,(
% 0.11/0.37 (![X]: (q0(X,d) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f19,axiom,(
% 0.11/0.37 (![X,Y]: (m0(X,d,Y) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f26,axiom,(
% 0.11/0.37 n0(d,c) ),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f30,axiom,(
% 0.11/0.37 n0(e,e) ),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f32,axiom,(
% 0.11/0.37 k0(b) ),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f37,axiom,(
% 0.11/0.37 n0(b,a) ),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f39,axiom,(
% 0.11/0.37 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f52,axiom,(
% 0.11/0.37 (![E,F,G]: (( m1(E,E,E)| ~ m0(F,G,E) ) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f72,axiom,(
% 0.11/0.37 (![A,B]: (( m1(A,B,B)| ~ k1(a)| ~ k1(B)| ~ q0(A,A) ) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f105,axiom,(
% 0.11/0.37 (![E,F]: (( p1(E,E,E)| ~ q0(F,E) ) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f214,axiom,(
% 0.11/0.37 (![D,E]: (( p2(D,E,D)| ~ m1(E,D,E) ) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f278,axiom,(
% 0.11/0.37 (![D,E,F]: (( n3(D)| ~ p2(E,F,D) ) ))),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f369,negated_conjecture,(
% 0.11/0.37 ~ m1(d,c,c) ),
% 0.11/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.37 fof(f383,plain,(
% 0.11/0.37 ![X0]: (p0(b,X0))),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f14])).
% 0.11/0.37 fof(f386,plain,(
% 0.11/0.37 ![X0]: (q0(X0,d))),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.11/0.37 fof(f388,plain,(
% 0.11/0.37 ![X0,X1]: (m0(X0,d,X1))),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.11/0.37 fof(f395,plain,(
% 0.11/0.37 n0(d,c)),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f26])).
% 0.11/0.37 fof(f399,plain,(
% 0.11/0.37 n0(e,e)),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f30])).
% 0.11/0.37 fof(f401,plain,(
% 0.11/0.37 k0(b)),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f32])).
% 0.11/0.37 fof(f406,plain,(
% 0.11/0.37 n0(b,a)),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f37])).
% 0.11/0.37 fof(f408,plain,(
% 0.11/0.37 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.11/0.37 inference(miniscoping,[status(esa)],[f39])).
% 0.11/0.37 fof(f409,plain,(
% 0.11/0.37 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f408])).
% 0.11/0.37 fof(f430,plain,(
% 0.11/0.37 ![E]: (m1(E,E,E)|(![F,G]: ~m0(F,G,E)))),
% 0.11/0.37 inference(miniscoping,[status(esa)],[f52])).
% 0.11/0.37 fof(f431,plain,(
% 0.11/0.37 ![X0,X1,X2]: (m1(X0,X0,X0)|~m0(X1,X2,X0))),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f430])).
% 0.11/0.37 fof(f462,plain,(
% 0.11/0.37 ![A]: ((![B]: ((m1(A,B,B)|~k1(a))|~k1(B)))|~q0(A,A))),
% 0.11/0.37 inference(miniscoping,[status(esa)],[f72])).
% 0.11/0.37 fof(f463,plain,(
% 0.11/0.37 ![X0,X1]: (m1(X0,X1,X1)|~k1(a)|~k1(X1)|~q0(X0,X0))),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f462])).
% 0.11/0.37 fof(f515,plain,(
% 0.11/0.37 ![E]: (p1(E,E,E)|(![F]: ~q0(F,E)))),
% 0.11/0.37 inference(miniscoping,[status(esa)],[f105])).
% 0.11/0.37 fof(f516,plain,(
% 0.11/0.37 ![X0,X1]: (p1(X0,X0,X0)|~q0(X1,X0))),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f515])).
% 0.11/0.37 fof(f685,plain,(
% 0.11/0.37 ![X0,X1]: (p2(X0,X1,X0)|~m1(X1,X0,X1))),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f214])).
% 0.11/0.37 fof(f778,plain,(
% 0.11/0.37 ![D]: (n3(D)|(![E,F]: ~p2(E,F,D)))),
% 0.11/0.37 inference(miniscoping,[status(esa)],[f278])).
% 0.11/0.37 fof(f779,plain,(
% 0.11/0.37 ![X0,X1,X2]: (n3(X0)|~p2(X1,X2,X0))),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f778])).
% 0.11/0.37 fof(f924,plain,(
% 0.11/0.37 ~m1(d,c,c)),
% 0.11/0.37 inference(cnf_transformation,[status(esa)],[f369])).
% 0.11/0.37 fof(f977,plain,(
% 0.11/0.37 spl0_15 <=> ~q0(X1,d)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f978,plain,(
% 0.11/0.37 ![X0]: (~q0(X0,d)|~spl0_15)),
% 0.11/0.37 inference(component_clause,[status(thm)],[f977])).
% 0.11/0.37 fof(f1041,plain,(
% 0.11/0.37 spl0_33 <=> m1(X0,X1,X1)|~k1(X1)|~q0(X0,X0)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f1042,plain,(
% 0.11/0.37 ![X0,X1]: (m1(X0,X1,X1)|~k1(X1)|~q0(X0,X0)|~spl0_33)),
% 0.11/0.37 inference(component_clause,[status(thm)],[f1041])).
% 0.11/0.37 fof(f1044,plain,(
% 0.11/0.37 spl0_34 <=> k1(a)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f1046,plain,(
% 0.11/0.37 ~k1(a)|spl0_34),
% 0.11/0.37 inference(component_clause,[status(thm)],[f1044])).
% 0.11/0.37 fof(f1047,plain,(
% 0.11/0.37 spl0_33|~spl0_34),
% 0.11/0.37 inference(split_clause,[status(thm)],[f463,f1041,f1044])).
% 0.11/0.37 fof(f1065,plain,(
% 0.11/0.37 spl0_40 <=> q0(d,d)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f1067,plain,(
% 0.11/0.37 ~q0(d,d)|spl0_40),
% 0.11/0.37 inference(component_clause,[status(thm)],[f1065])).
% 0.11/0.37 fof(f1127,plain,(
% 0.11/0.37 spl0_58 <=> ~m0(X1,X2,b)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f1128,plain,(
% 0.11/0.37 ![X0,X1]: (~m0(X0,X1,b)|~spl0_58)),
% 0.11/0.37 inference(component_clause,[status(thm)],[f1127])).
% 0.11/0.37 fof(f1202,plain,(
% 0.11/0.37 spl0_79 <=> ~m0(b,X1,b)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f1203,plain,(
% 0.11/0.37 ![X0]: (~m0(b,X0,b)|~spl0_79)),
% 0.11/0.37 inference(component_clause,[status(thm)],[f1202])).
% 0.11/0.37 fof(f1346,plain,(
% 0.11/0.37 spl0_118 <=> k1(c)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f1348,plain,(
% 0.11/0.37 ~k1(c)|spl0_118),
% 0.11/0.37 inference(component_clause,[status(thm)],[f1346])).
% 0.11/0.37 fof(f1803,plain,(
% 0.11/0.37 spl0_249 <=> n3(e)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f1805,plain,(
% 0.11/0.37 ~n3(e)|spl0_249),
% 0.11/0.37 inference(component_clause,[status(thm)],[f1803])).
% 0.11/0.37 fof(f1869,plain,(
% 0.11/0.37 spl0_268 <=> n3(a)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f1871,plain,(
% 0.11/0.37 ~n3(a)|spl0_268),
% 0.11/0.37 inference(component_clause,[status(thm)],[f1869])).
% 0.11/0.37 fof(f1997,plain,(
% 0.11/0.37 $false|spl0_40),
% 0.11/0.37 inference(forward_subsumption_resolution,[status(thm)],[f1067,f386])).
% 0.11/0.37 fof(f1998,plain,(
% 0.11/0.37 spl0_40),
% 0.11/0.37 inference(contradiction_clause,[status(thm)],[f1997])).
% 0.11/0.37 fof(f2075,plain,(
% 0.11/0.37 ![X0]: (m1(X0,X0,X0))),
% 0.11/0.37 inference(resolution,[status(thm)],[f388,f431])).
% 0.11/0.37 fof(f2154,plain,(
% 0.11/0.37 spl0_309 <=> ~k0(X1)|~k0(X1)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f2155,plain,(
% 0.11/0.37 ![X0]: (~k0(X0)|~k0(X0)|~spl0_309)),
% 0.11/0.37 inference(component_clause,[status(thm)],[f2154])).
% 0.11/0.37 fof(f2338,plain,(
% 0.11/0.37 spl0_339 <=> ~n0(X1,a)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f2339,plain,(
% 0.11/0.37 ![X0]: (~n0(X0,a)|~spl0_339)),
% 0.11/0.37 inference(component_clause,[status(thm)],[f2338])).
% 0.11/0.37 fof(f2349,plain,(
% 0.11/0.37 k1(a)),
% 0.11/0.37 inference(resolution,[status(thm)],[f406,f409])).
% 0.11/0.37 fof(f2350,plain,(
% 0.11/0.37 $false|spl0_34),
% 0.11/0.37 inference(forward_subsumption_resolution,[status(thm)],[f2349,f1046])).
% 0.11/0.37 fof(f2351,plain,(
% 0.11/0.37 spl0_34),
% 0.11/0.37 inference(contradiction_clause,[status(thm)],[f2350])).
% 0.11/0.37 fof(f2373,plain,(
% 0.11/0.37 k1(c)),
% 0.11/0.37 inference(resolution,[status(thm)],[f395,f409])).
% 0.11/0.37 fof(f2374,plain,(
% 0.11/0.37 $false|spl0_118),
% 0.11/0.37 inference(forward_subsumption_resolution,[status(thm)],[f2373,f1348])).
% 0.11/0.37 fof(f2375,plain,(
% 0.11/0.37 spl0_118),
% 0.11/0.37 inference(contradiction_clause,[status(thm)],[f2374])).
% 0.11/0.37 fof(f2382,plain,(
% 0.11/0.37 spl0_343 <=> ~p0(X2,a)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f2383,plain,(
% 0.11/0.37 ![X0]: (~p0(X0,a)|~spl0_343)),
% 0.11/0.37 inference(component_clause,[status(thm)],[f2382])).
% 0.11/0.37 fof(f2481,plain,(
% 0.11/0.37 ![X0]: (p2(X0,X0,X0))),
% 0.11/0.37 inference(resolution,[status(thm)],[f2075,f685])).
% 0.11/0.37 fof(f2491,plain,(
% 0.11/0.37 ![X0]: (~k0(X0)|~spl0_309)),
% 0.11/0.37 inference(duplicate_literals_removal,[status(esa)],[f2155])).
% 0.11/0.37 fof(f2492,plain,(
% 0.11/0.37 $false|~spl0_309),
% 0.11/0.37 inference(backward_subsumption_resolution,[status(thm)],[f401,f2491])).
% 0.11/0.37 fof(f2493,plain,(
% 0.11/0.37 ~spl0_309),
% 0.11/0.37 inference(contradiction_clause,[status(thm)],[f2492])).
% 0.11/0.37 fof(f2605,plain,(
% 0.11/0.37 spl0_358 <=> p1(d,d,d)),
% 0.11/0.37 introduced(split_symbol_definition)).
% 0.11/0.37 fof(f2607,plain,(
% 0.11/0.37 ~p1(d,d,d)|spl0_358),
% 0.11/0.37 inference(component_clause,[status(thm)],[f2605])).
% 0.11/0.37 fof(f2619,plain,(
% 0.11/0.37 ![X0]: (n3(X0))),
% 0.11/0.37 inference(resolution,[status(thm)],[f779,f2481])).
% 0.11/0.37 fof(f2627,plain,(
% 0.11/0.37 $false|spl0_249),
% 0.11/0.37 inference(backward_subsumption_resolution,[status(thm)],[f1805,f2619])).
% 0.11/0.37 fof(f2628,plain,(
% 0.11/0.37 spl0_249),
% 0.11/0.37 inference(contradiction_clause,[status(thm)],[f2627])).
% 0.11/0.37 fof(f2629,plain,(
% 0.11/0.37 $false|spl0_268),
% 0.11/0.37 inference(backward_subsumption_resolution,[status(thm)],[f1871,f2619])).
% 0.11/0.37 fof(f2630,plain,(
% 0.11/0.37 spl0_268),
% 0.11/0.37 inference(contradiction_clause,[status(thm)],[f2629])).
% 0.11/0.37 fof(f2649,plain,(
% 0.11/0.37 ![X0]: (~q0(X0,d)|spl0_358)),
% 0.11/0.37 inference(resolution,[status(thm)],[f2607,f516])).
% 0.11/0.37 fof(f2650,plain,(
% 0.11/0.37 $false|spl0_358),
% 0.11/0.37 inference(forward_subsumption_resolution,[status(thm)],[f2649,f386])).
% 0.11/0.37 fof(f2651,plain,(
% 0.11/0.37 spl0_358),
% 0.11/0.37 inference(contradiction_clause,[status(thm)],[f2650])).
% 0.11/0.37 fof(f2695,plain,(
% 0.11/0.39 spl0_365 <=> ~n0(X0,X0)),
% 0.11/0.39 introduced(split_symbol_definition)).
% 0.11/0.39 fof(f2696,plain,(
% 0.11/0.39 ![X0]: (~n0(X0,X0)|~spl0_365)),
% 0.11/0.39 inference(component_clause,[status(thm)],[f2695])).
% 0.11/0.39 fof(f2769,plain,(
% 0.11/0.39 $false|~spl0_15),
% 0.11/0.39 inference(forward_subsumption_resolution,[status(thm)],[f978,f386])).
% 0.11/0.39 fof(f2770,plain,(
% 0.11/0.39 ~spl0_15),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f2769])).
% 0.11/0.39 fof(f2801,plain,(
% 0.11/0.39 $false|~spl0_365),
% 0.11/0.39 inference(backward_subsumption_resolution,[status(thm)],[f399,f2696])).
% 0.11/0.39 fof(f2802,plain,(
% 0.11/0.39 ~spl0_365),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f2801])).
% 0.11/0.39 fof(f2876,plain,(
% 0.11/0.39 $false|~spl0_58),
% 0.11/0.39 inference(resolution,[status(thm)],[f1128,f388])).
% 0.11/0.39 fof(f2877,plain,(
% 0.11/0.39 ~spl0_58),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f2876])).
% 0.11/0.39 fof(f2892,plain,(
% 0.11/0.39 $false|~spl0_343),
% 0.11/0.39 inference(resolution,[status(thm)],[f2383,f383])).
% 0.11/0.39 fof(f2893,plain,(
% 0.11/0.39 ~spl0_343),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f2892])).
% 0.11/0.39 fof(f2894,plain,(
% 0.11/0.39 $false|~spl0_339),
% 0.11/0.39 inference(backward_subsumption_resolution,[status(thm)],[f406,f2339])).
% 0.11/0.39 fof(f2895,plain,(
% 0.11/0.39 ~spl0_339),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f2894])).
% 0.11/0.39 fof(f2899,plain,(
% 0.11/0.39 $false|~spl0_79),
% 0.11/0.39 inference(resolution,[status(thm)],[f1203,f388])).
% 0.11/0.39 fof(f2900,plain,(
% 0.11/0.39 ~spl0_79),
% 0.11/0.39 inference(contradiction_clause,[status(thm)],[f2899])).
% 0.11/0.39 fof(f2917,plain,(
% 0.11/0.39 ~k1(c)|~q0(d,d)|~spl0_33),
% 0.11/0.39 inference(resolution,[status(thm)],[f1042,f924])).
% 0.11/0.39 fof(f2918,plain,(
% 0.11/0.39 ~spl0_118|~spl0_40|~spl0_33),
% 0.11/0.39 inference(split_clause,[status(thm)],[f2917,f1346,f1065,f1041])).
% 0.11/0.39 fof(f2923,plain,(
% 0.11/0.39 $false),
% 0.11/0.39 inference(sat_refutation,[status(thm)],[f1047,f1998,f2351,f2375,f2493,f2628,f2630,f2651,f2770,f2802,f2877,f2893,f2895,f2900,f2918])).
% 0.11/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.39 % Elapsed time: 0.115803 seconds
% 0.11/0.39 % CPU time: 0.745352 seconds
% 0.11/0.39 % Memory used: 49.840 MB
%------------------------------------------------------------------------------