TSTP Solution File: SYN110-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN110-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:46:01 EDT 2023
% Result : Unsatisfiable 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN110-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 10:37:58 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.36 % Drodi V3.5.1
% 0.21/0.51 % Refutation found
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.51 fof(f3,axiom,(
% 0.21/0.51 n0(d,e) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f7,axiom,(
% 0.21/0.51 n0(d,b) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f9,axiom,(
% 0.21/0.51 r0(b) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f12,axiom,(
% 0.21/0.51 (![X]: (m0(a,X,a) ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f13,axiom,(
% 0.21/0.51 r0(e) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f14,axiom,(
% 0.21/0.51 (![X]: (p0(b,X) ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f19,axiom,(
% 0.21/0.51 (![X,Y]: (m0(X,d,Y) ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f33,axiom,(
% 0.21/0.51 q0(d,c) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f37,axiom,(
% 0.21/0.51 n0(b,a) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f39,axiom,(
% 0.21/0.51 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f44,axiom,(
% 0.21/0.51 (![J,A]: (( m1(J,J,J)| ~ m0(A,A,J) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f45,axiom,(
% 0.21/0.51 (![G,H,I]: (( m1(G,H,G)| ~ p0(I,H)| ~ r0(G) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f62,axiom,(
% 0.21/0.51 (![F,G,H]: (( m1(F,a,G)| ~ m0(a,H,a)| ~ q0(F,G)| ~ m1(G,c,G) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f138,axiom,(
% 0.21/0.51 (![C,D]: (( q1(C,C,C)| ~ n0(D,C) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f165,axiom,(
% 0.21/0.51 (![C,D,E,F]: (( k2(C,D)| ~ m1(E,D,C)| ~ k1(F)| ~ k2(F,D) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f167,axiom,(
% 0.21/0.51 (![J,A]: (( k2(J,J)| ~ q1(A,J,J) ) ))),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f369,negated_conjecture,(
% 0.21/0.51 ~ k2(c,a) ),
% 0.21/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.51 fof(f372,plain,(
% 0.21/0.51 n0(d,e)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f3])).
% 0.21/0.51 fof(f376,plain,(
% 0.21/0.51 n0(d,b)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f7])).
% 0.21/0.51 fof(f378,plain,(
% 0.21/0.51 r0(b)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.51 fof(f381,plain,(
% 0.21/0.51 ![X0]: (m0(a,X0,a))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f12])).
% 0.21/0.51 fof(f382,plain,(
% 0.21/0.51 r0(e)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f13])).
% 0.21/0.51 fof(f383,plain,(
% 0.21/0.51 ![X0]: (p0(b,X0))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f14])).
% 0.21/0.51 fof(f388,plain,(
% 0.21/0.51 ![X0,X1]: (m0(X0,d,X1))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f19])).
% 0.21/0.51 fof(f402,plain,(
% 0.21/0.51 q0(d,c)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f33])).
% 0.21/0.51 fof(f406,plain,(
% 0.21/0.51 n0(b,a)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f37])).
% 0.21/0.51 fof(f408,plain,(
% 0.21/0.51 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f39])).
% 0.21/0.51 fof(f409,plain,(
% 0.21/0.51 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f408])).
% 0.21/0.51 fof(f417,plain,(
% 0.21/0.51 ![J]: (m1(J,J,J)|(![A]: ~m0(A,A,J)))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f44])).
% 0.21/0.51 fof(f418,plain,(
% 0.21/0.51 ![X0,X1]: (m1(X0,X0,X0)|~m0(X1,X1,X0))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f417])).
% 0.21/0.51 fof(f419,plain,(
% 0.21/0.51 ![G]: ((![H]: (m1(G,H,G)|(![I]: ~p0(I,H))))|~r0(G))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f45])).
% 0.21/0.51 fof(f420,plain,(
% 0.21/0.51 ![X0,X1,X2]: (m1(X0,X1,X0)|~p0(X2,X1)|~r0(X0))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f419])).
% 0.21/0.51 fof(f446,plain,(
% 0.21/0.51 ![G]: ((![F]: ((m1(F,a,G)|(![H]: ~m0(a,H,a)))|~q0(F,G)))|~m1(G,c,G))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f62])).
% 0.21/0.51 fof(f447,plain,(
% 0.21/0.51 ![X0,X1,X2]: (m1(X0,a,X1)|~m0(a,X2,a)|~q0(X0,X1)|~m1(X1,c,X1))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f446])).
% 0.21/0.51 fof(f567,plain,(
% 0.21/0.51 ![C]: (q1(C,C,C)|(![D]: ~n0(D,C)))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f138])).
% 0.21/0.51 fof(f568,plain,(
% 0.21/0.51 ![X0,X1]: (q1(X0,X0,X0)|~n0(X1,X0))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f567])).
% 0.21/0.51 fof(f610,plain,(
% 0.21/0.51 ![D,F]: (((![C]: (k2(C,D)|(![E]: ~m1(E,D,C))))|~k1(F))|~k2(F,D))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f165])).
% 0.21/0.51 fof(f611,plain,(
% 0.21/0.51 ![X0,X1,X2,X3]: (k2(X0,X1)|~m1(X2,X1,X0)|~k1(X3)|~k2(X3,X1))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f610])).
% 0.21/0.51 fof(f613,plain,(
% 0.21/0.51 ![J]: (k2(J,J)|(![A]: ~q1(A,J,J)))),
% 0.21/0.51 inference(miniscoping,[status(esa)],[f167])).
% 0.21/0.51 fof(f614,plain,(
% 0.21/0.51 ![X0,X1]: (k2(X0,X0)|~q1(X1,X0,X0))),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f613])).
% 0.21/0.51 fof(f924,plain,(
% 0.21/0.51 ~k2(c,a)),
% 0.21/0.51 inference(cnf_transformation,[status(esa)],[f369])).
% 0.21/0.51 fof(f1009,plain,(
% 0.21/0.51 spl0_24 <=> m1(X0,a,X1)|~q0(X0,X1)|~m1(X1,c,X1)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1010,plain,(
% 0.21/0.51 ![X0,X1]: (m1(X0,a,X1)|~q0(X0,X1)|~m1(X1,c,X1)|~spl0_24)),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1009])).
% 0.21/0.51 fof(f1012,plain,(
% 0.21/0.51 spl0_25 <=> ~m0(a,X2,a)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1013,plain,(
% 0.21/0.51 ![X0]: (~m0(a,X0,a)|~spl0_25)),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1012])).
% 0.21/0.51 fof(f1015,plain,(
% 0.21/0.51 spl0_24|spl0_25),
% 0.21/0.51 inference(split_clause,[status(thm)],[f447,f1009,f1012])).
% 0.21/0.51 fof(f1044,plain,(
% 0.21/0.51 spl0_34 <=> k1(a)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1046,plain,(
% 0.21/0.51 ~k1(a)|spl0_34),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1044])).
% 0.21/0.51 fof(f1336,plain,(
% 0.21/0.51 spl0_115 <=> k1(b)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1338,plain,(
% 0.21/0.51 ~k1(b)|spl0_115),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1336])).
% 0.21/0.51 fof(f1396,plain,(
% 0.21/0.51 spl0_133 <=> k2(c,a)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1397,plain,(
% 0.21/0.51 k2(c,a)|~spl0_133),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1396])).
% 0.21/0.51 fof(f1480,plain,(
% 0.21/0.51 spl0_157 <=> m1(d,a,c)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1481,plain,(
% 0.21/0.51 m1(d,a,c)|~spl0_157),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1480])).
% 0.21/0.51 fof(f1482,plain,(
% 0.21/0.51 ~m1(d,a,c)|spl0_157),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1480])).
% 0.21/0.51 fof(f1515,plain,(
% 0.21/0.51 spl0_167 <=> k1(e)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f1517,plain,(
% 0.21/0.51 ~k1(e)|spl0_167),
% 0.21/0.51 inference(component_clause,[status(thm)],[f1515])).
% 0.21/0.51 fof(f2010,plain,(
% 0.21/0.51 k1(e)),
% 0.21/0.51 inference(resolution,[status(thm)],[f409,f372])).
% 0.21/0.51 fof(f2011,plain,(
% 0.21/0.51 k1(b)),
% 0.21/0.51 inference(resolution,[status(thm)],[f409,f376])).
% 0.21/0.51 fof(f2017,plain,(
% 0.21/0.51 k1(a)),
% 0.21/0.51 inference(resolution,[status(thm)],[f409,f406])).
% 0.21/0.51 fof(f2048,plain,(
% 0.21/0.51 $false|spl0_34),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f2017,f1046])).
% 0.21/0.51 fof(f2049,plain,(
% 0.21/0.51 spl0_34),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f2048])).
% 0.21/0.51 fof(f2066,plain,(
% 0.21/0.51 ![X0]: (m1(X0,X0,X0))),
% 0.21/0.51 inference(resolution,[status(thm)],[f418,f388])).
% 0.21/0.51 fof(f2090,plain,(
% 0.21/0.51 ![X0,X1]: (m1(X0,X1,X0)|~r0(X0))),
% 0.21/0.51 inference(resolution,[status(thm)],[f420,f383])).
% 0.21/0.51 fof(f2104,plain,(
% 0.21/0.51 $false|spl0_167),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1517,f2010])).
% 0.21/0.51 fof(f2105,plain,(
% 0.21/0.51 spl0_167),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f2104])).
% 0.21/0.51 fof(f2106,plain,(
% 0.21/0.51 $false|spl0_115),
% 0.21/0.51 inference(forward_subsumption_resolution,[status(thm)],[f1338,f2011])).
% 0.21/0.51 fof(f2107,plain,(
% 0.21/0.51 spl0_115),
% 0.21/0.51 inference(contradiction_clause,[status(thm)],[f2106])).
% 0.21/0.51 fof(f2217,plain,(
% 0.21/0.51 ![X0]: (m1(b,X0,b))),
% 0.21/0.51 inference(resolution,[status(thm)],[f2090,f378])).
% 0.21/0.51 fof(f2218,plain,(
% 0.21/0.51 ![X0]: (m1(e,X0,e))),
% 0.21/0.51 inference(resolution,[status(thm)],[f2090,f382])).
% 0.21/0.51 fof(f2220,plain,(
% 0.21/0.51 ![X0,X1]: (k2(b,X0)|~k1(X1)|~k2(X1,X0))),
% 0.21/0.51 inference(resolution,[status(thm)],[f2217,f611])).
% 0.21/0.51 fof(f2249,plain,(
% 0.21/0.51 ![X0,X1]: (k2(e,X0)|~k1(X1)|~k2(X1,X0))),
% 0.21/0.51 inference(resolution,[status(thm)],[f2218,f611])).
% 0.21/0.51 fof(f2524,plain,(
% 0.21/0.51 q1(a,a,a)),
% 0.21/0.51 inference(resolution,[status(thm)],[f568,f406])).
% 0.21/0.51 fof(f2525,plain,(
% 0.21/0.51 k2(a,a)),
% 0.21/0.51 inference(resolution,[status(thm)],[f2524,f614])).
% 0.21/0.51 fof(f2529,plain,(
% 0.21/0.51 spl0_344 <=> k2(e,a)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f2530,plain,(
% 0.21/0.51 k2(e,a)|~spl0_344),
% 0.21/0.51 inference(component_clause,[status(thm)],[f2529])).
% 0.21/0.51 fof(f2532,plain,(
% 0.21/0.51 k2(e,a)|~k1(a)),
% 0.21/0.51 inference(resolution,[status(thm)],[f2525,f2249])).
% 0.21/0.51 fof(f2533,plain,(
% 0.21/0.51 spl0_344|~spl0_34),
% 0.21/0.51 inference(split_clause,[status(thm)],[f2532,f2529,f1044])).
% 0.21/0.51 fof(f2534,plain,(
% 0.21/0.51 spl0_345 <=> k2(b,a)),
% 0.21/0.51 introduced(split_symbol_definition)).
% 0.21/0.51 fof(f2535,plain,(
% 0.21/0.51 k2(b,a)|~spl0_345),
% 0.21/0.51 inference(component_clause,[status(thm)],[f2534])).
% 0.21/0.52 fof(f2682,plain,(
% 0.21/0.52 k2(b,a)|~k1(e)|~spl0_344),
% 0.21/0.52 inference(resolution,[status(thm)],[f2530,f2220])).
% 0.21/0.52 fof(f2683,plain,(
% 0.21/0.52 spl0_345|~spl0_167|~spl0_344),
% 0.21/0.52 inference(split_clause,[status(thm)],[f2682,f2534,f1515,f2529])).
% 0.21/0.52 fof(f2985,plain,(
% 0.21/0.52 ![X0]: (m1(X0,a,c)|~q0(X0,c)|~spl0_24)),
% 0.21/0.52 inference(resolution,[status(thm)],[f1010,f2066])).
% 0.21/0.52 fof(f5429,plain,(
% 0.21/0.52 m1(d,a,c)|~spl0_24),
% 0.21/0.52 inference(resolution,[status(thm)],[f2985,f402])).
% 0.21/0.52 fof(f5430,plain,(
% 0.21/0.52 $false|spl0_157|~spl0_24),
% 0.21/0.52 inference(forward_subsumption_resolution,[status(thm)],[f5429,f1482])).
% 0.21/0.52 fof(f5431,plain,(
% 0.21/0.52 spl0_157|~spl0_24),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f5430])).
% 0.21/0.52 fof(f5432,plain,(
% 0.21/0.52 $false|~spl0_25),
% 0.21/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1013,f381])).
% 0.21/0.52 fof(f5433,plain,(
% 0.21/0.52 ~spl0_25),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f5432])).
% 0.21/0.52 fof(f5435,plain,(
% 0.21/0.52 spl0_668 <=> ~k1(X0)|~k2(X0,a)),
% 0.21/0.52 introduced(split_symbol_definition)).
% 0.21/0.52 fof(f5436,plain,(
% 0.21/0.52 ![X0]: (~k1(X0)|~k2(X0,a)|~spl0_668)),
% 0.21/0.52 inference(component_clause,[status(thm)],[f5435])).
% 0.21/0.52 fof(f5462,plain,(
% 0.21/0.52 ![X0]: (k2(c,a)|~k1(X0)|~k2(X0,a)|~spl0_157)),
% 0.21/0.52 inference(resolution,[status(thm)],[f1481,f611])).
% 0.21/0.52 fof(f5463,plain,(
% 0.21/0.52 spl0_133|spl0_668|~spl0_157),
% 0.21/0.52 inference(split_clause,[status(thm)],[f5462,f1396,f5435,f1480])).
% 0.21/0.52 fof(f5510,plain,(
% 0.21/0.52 ~k1(b)|~spl0_668|~spl0_345),
% 0.21/0.52 inference(resolution,[status(thm)],[f5436,f2535])).
% 0.21/0.52 fof(f5511,plain,(
% 0.21/0.52 ~spl0_115|~spl0_668|~spl0_345),
% 0.21/0.52 inference(split_clause,[status(thm)],[f5510,f1336,f5435,f2534])).
% 0.21/0.52 fof(f5516,plain,(
% 0.21/0.52 $false|~spl0_133),
% 0.21/0.52 inference(forward_subsumption_resolution,[status(thm)],[f1397,f924])).
% 0.21/0.52 fof(f5517,plain,(
% 0.21/0.52 ~spl0_133),
% 0.21/0.52 inference(contradiction_clause,[status(thm)],[f5516])).
% 0.21/0.52 fof(f5518,plain,(
% 0.21/0.52 $false),
% 0.21/0.52 inference(sat_refutation,[status(thm)],[f1015,f2049,f2105,f2107,f2533,f2683,f5431,f5433,f5463,f5511,f5517])).
% 0.21/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.53 % Elapsed time: 0.178038 seconds
% 0.21/0.53 % CPU time: 1.229796 seconds
% 0.21/0.53 % Memory used: 51.807 MB
%------------------------------------------------------------------------------