TSTP Solution File: SYN213-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN213-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN213-1 : TPTP v8.1.2. Released v1.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.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 : Mon Apr 29 21:47:50 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 0.20/0.43 % Refutation found
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.43 fof(f3,axiom,(
% 0.20/0.43 n0(d,e) ),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f14,axiom,(
% 0.20/0.43 (![X]: (p0(b,X) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f30,axiom,(
% 0.20/0.43 n0(e,e) ),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f32,axiom,(
% 0.20/0.43 k0(b) ),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f39,axiom,(
% 0.20/0.43 (![I,J]: (( k1(I)| ~ n0(J,I) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f104,axiom,(
% 0.20/0.43 (![G,H]: (( p1(G,G,G)| ~ n0(H,G) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f106,axiom,(
% 0.20/0.43 (![D]: (( p1(D,D,D)| ~ k0(D) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f175,axiom,(
% 0.20/0.43 (![A,B,C]: (( n2(A)| ~ p1(B,C,A) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f197,axiom,(
% 0.20/0.43 (![A]: (( p2(A,A,A)| ~ k1(A) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f219,axiom,(
% 0.20/0.43 (![I]: (( q2(I,I,I)| ~ p1(I,I,I) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f278,axiom,(
% 0.20/0.43 (![D,E,F]: (( n3(D)| ~ p2(E,F,D) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f282,axiom,(
% 0.20/0.43 (![H]: (( p3(H,H,H)| ~ n2(H) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f293,axiom,(
% 0.20/0.43 (![G,H,I]: (( q3(G,H)| ~ q2(I,G,H)| ~ n0(I,G) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f315,axiom,(
% 0.20/0.43 (![J,A,B]: (( l4(J)| ~ p3(A,B,J) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f336,axiom,(
% 0.20/0.43 (![G,H,I,J]: (( r4(G)| ~ n3(G)| ~ q3(H,I)| ~ p0(J,G) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f367,axiom,(
% 0.20/0.43 (![H,I]: (( s5(H)| ~ l4(H)| ~ r4(I) ) ))),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f369,negated_conjecture,(
% 0.20/0.43 ~ s5(b) ),
% 0.20/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.20/0.43 fof(f372,plain,(
% 0.20/0.43 n0(d,e)),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.43 fof(f383,plain,(
% 0.20/0.43 ![X0]: (p0(b,X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.43 fof(f399,plain,(
% 0.20/0.43 n0(e,e)),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f30])).
% 0.20/0.43 fof(f401,plain,(
% 0.20/0.43 k0(b)),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f32])).
% 0.20/0.43 fof(f408,plain,(
% 0.20/0.43 ![I]: (k1(I)|(![J]: ~n0(J,I)))),
% 0.20/0.43 inference(miniscoping,[status(esa)],[f39])).
% 0.20/0.43 fof(f409,plain,(
% 0.20/0.43 ![X0,X1]: (k1(X0)|~n0(X1,X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f408])).
% 0.20/0.43 fof(f513,plain,(
% 0.20/0.43 ![G]: (p1(G,G,G)|(![H]: ~n0(H,G)))),
% 0.20/0.43 inference(miniscoping,[status(esa)],[f104])).
% 0.20/0.43 fof(f514,plain,(
% 0.20/0.43 ![X0,X1]: (p1(X0,X0,X0)|~n0(X1,X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f513])).
% 0.20/0.43 fof(f517,plain,(
% 0.20/0.43 ![X0]: (p1(X0,X0,X0)|~k0(X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f106])).
% 0.20/0.43 fof(f626,plain,(
% 0.20/0.43 ![A]: (n2(A)|(![B,C]: ~p1(B,C,A)))),
% 0.20/0.43 inference(miniscoping,[status(esa)],[f175])).
% 0.20/0.43 fof(f627,plain,(
% 0.20/0.43 ![X0,X1,X2]: (n2(X0)|~p1(X1,X2,X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f626])).
% 0.20/0.43 fof(f659,plain,(
% 0.20/0.43 ![X0]: (p2(X0,X0,X0)|~k1(X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f197])).
% 0.20/0.43 fof(f692,plain,(
% 0.20/0.43 ![X0]: (q2(X0,X0,X0)|~p1(X0,X0,X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f219])).
% 0.20/0.43 fof(f778,plain,(
% 0.20/0.43 ![D]: (n3(D)|(![E,F]: ~p2(E,F,D)))),
% 0.20/0.43 inference(miniscoping,[status(esa)],[f278])).
% 0.20/0.43 fof(f779,plain,(
% 0.20/0.43 ![X0,X1,X2]: (n3(X0)|~p2(X1,X2,X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f778])).
% 0.20/0.43 fof(f784,plain,(
% 0.20/0.43 ![X0]: (p3(X0,X0,X0)|~n2(X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f282])).
% 0.20/0.43 fof(f801,plain,(
% 0.20/0.43 ![G,I]: ((![H]: (q3(G,H)|~q2(I,G,H)))|~n0(I,G))),
% 0.20/0.43 inference(miniscoping,[status(esa)],[f293])).
% 0.20/0.43 fof(f802,plain,(
% 0.20/0.43 ![X0,X1,X2]: (q3(X0,X1)|~q2(X2,X0,X1)|~n0(X2,X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f801])).
% 0.20/0.43 fof(f836,plain,(
% 0.20/0.43 ![J]: (l4(J)|(![A,B]: ~p3(A,B,J)))),
% 0.20/0.43 inference(miniscoping,[status(esa)],[f315])).
% 0.20/0.43 fof(f837,plain,(
% 0.20/0.43 ![X0,X1,X2]: (l4(X0)|~p3(X1,X2,X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f836])).
% 0.20/0.43 fof(f871,plain,(
% 0.20/0.43 ![G]: (((r4(G)|~n3(G))|(![H,I]: ~q3(H,I)))|(![J]: ~p0(J,G)))),
% 0.20/0.43 inference(miniscoping,[status(esa)],[f336])).
% 0.20/0.43 fof(f872,plain,(
% 0.20/0.43 ![X0,X1,X2,X3]: (r4(X0)|~n3(X0)|~q3(X1,X2)|~p0(X3,X0))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f871])).
% 0.20/0.43 fof(f920,plain,(
% 0.20/0.43 (![H]: (s5(H)|~l4(H)))|(![I]: ~r4(I))),
% 0.20/0.43 inference(miniscoping,[status(esa)],[f367])).
% 0.20/0.43 fof(f921,plain,(
% 0.20/0.43 ![X0,X1]: (s5(X0)|~l4(X0)|~r4(X1))),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f920])).
% 0.20/0.43 fof(f924,plain,(
% 0.20/0.43 ~s5(b)),
% 0.20/0.43 inference(cnf_transformation,[status(esa)],[f369])).
% 0.20/0.43 fof(f1120,plain,(
% 0.20/0.43 spl0_56 <=> k0(b)),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f1122,plain,(
% 0.20/0.43 ~k0(b)|spl0_56),
% 0.20/0.43 inference(component_clause,[status(thm)],[f1120])).
% 0.20/0.43 fof(f1515,plain,(
% 0.20/0.43 spl0_167 <=> k1(e)),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f1517,plain,(
% 0.20/0.43 ~k1(e)|spl0_167),
% 0.20/0.43 inference(component_clause,[status(thm)],[f1515])).
% 0.20/0.43 fof(f1803,plain,(
% 0.20/0.43 spl0_249 <=> n3(e)),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f1804,plain,(
% 0.20/0.43 n3(e)|~spl0_249),
% 0.20/0.43 inference(component_clause,[status(thm)],[f1803])).
% 0.20/0.43 fof(f1805,plain,(
% 0.20/0.43 ~n3(e)|spl0_249),
% 0.20/0.43 inference(component_clause,[status(thm)],[f1803])).
% 0.20/0.43 fof(f1848,plain,(
% 0.20/0.43 spl0_262 <=> ~q3(X1,X2)),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f1849,plain,(
% 0.20/0.43 ![X0,X1]: (~q3(X0,X1)|~spl0_262)),
% 0.20/0.43 inference(component_clause,[status(thm)],[f1848])).
% 0.20/0.43 fof(f1890,plain,(
% 0.20/0.43 spl0_274 <=> r4(X0)|~n3(X0)|~p0(X3,X0)),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f1891,plain,(
% 0.20/0.43 ![X0,X1]: (r4(X0)|~n3(X0)|~p0(X1,X0)|~spl0_274)),
% 0.20/0.43 inference(component_clause,[status(thm)],[f1890])).
% 0.20/0.43 fof(f1893,plain,(
% 0.20/0.43 spl0_274|spl0_262),
% 0.20/0.43 inference(split_clause,[status(thm)],[f872,f1890,f1848])).
% 0.20/0.43 fof(f1978,plain,(
% 0.20/0.43 spl0_299 <=> s5(X0)|~l4(X0)),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f1979,plain,(
% 0.20/0.43 ![X0]: (s5(X0)|~l4(X0)|~spl0_299)),
% 0.20/0.43 inference(component_clause,[status(thm)],[f1978])).
% 0.20/0.43 fof(f1981,plain,(
% 0.20/0.43 spl0_300 <=> ~r4(X1)),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f1982,plain,(
% 0.20/0.43 ![X0]: (~r4(X0)|~spl0_300)),
% 0.20/0.43 inference(component_clause,[status(thm)],[f1981])).
% 0.20/0.43 fof(f1984,plain,(
% 0.20/0.43 spl0_299|spl0_300),
% 0.20/0.43 inference(split_clause,[status(thm)],[f921,f1978,f1981])).
% 0.20/0.43 fof(f2004,plain,(
% 0.20/0.43 k1(e)),
% 0.20/0.43 inference(resolution,[status(thm)],[f409,f372])).
% 0.20/0.43 fof(f2016,plain,(
% 0.20/0.43 $false|spl0_56),
% 0.20/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1122,f401])).
% 0.20/0.43 fof(f2017,plain,(
% 0.20/0.43 spl0_56),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f2016])).
% 0.20/0.43 fof(f2042,plain,(
% 0.20/0.43 $false|spl0_167),
% 0.20/0.43 inference(forward_subsumption_resolution,[status(thm)],[f1517,f2004])).
% 0.20/0.43 fof(f2043,plain,(
% 0.20/0.43 spl0_167),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f2042])).
% 0.20/0.43 fof(f2050,plain,(
% 0.20/0.43 ![X0]: (n2(X0)|~k0(X0))),
% 0.20/0.43 inference(resolution,[status(thm)],[f627,f517])).
% 0.20/0.43 fof(f2051,plain,(
% 0.20/0.43 ![X0]: (n3(X0)|~k1(X0))),
% 0.20/0.43 inference(resolution,[status(thm)],[f779,f659])).
% 0.20/0.43 fof(f2052,plain,(
% 0.20/0.43 ~k1(e)|spl0_249),
% 0.20/0.43 inference(resolution,[status(thm)],[f2051,f1805])).
% 0.20/0.43 fof(f2053,plain,(
% 0.20/0.43 ~spl0_167|spl0_249),
% 0.20/0.43 inference(split_clause,[status(thm)],[f2052,f1515,f1803])).
% 0.20/0.43 fof(f2056,plain,(
% 0.20/0.43 ![X0]: (l4(X0)|~n2(X0))),
% 0.20/0.43 inference(resolution,[status(thm)],[f837,f784])).
% 0.20/0.43 fof(f2057,plain,(
% 0.20/0.43 ![X0]: (l4(X0)|~k0(X0))),
% 0.20/0.43 inference(resolution,[status(thm)],[f2056,f2050])).
% 0.20/0.43 fof(f2059,plain,(
% 0.20/0.43 ![X0]: (~k0(X0)|s5(X0)|~spl0_299)),
% 0.20/0.43 inference(resolution,[status(thm)],[f2057,f1979])).
% 0.20/0.43 fof(f2070,plain,(
% 0.20/0.43 ~k0(b)|~spl0_299),
% 0.20/0.43 inference(resolution,[status(thm)],[f2059,f924])).
% 0.20/0.43 fof(f2071,plain,(
% 0.20/0.43 ~spl0_56|~spl0_299),
% 0.20/0.43 inference(split_clause,[status(thm)],[f2070,f1120,f1978])).
% 0.20/0.43 fof(f2172,plain,(
% 0.20/0.43 spl0_303 <=> ~p0(X0,e)),
% 0.20/0.43 introduced(split_symbol_definition)).
% 0.20/0.43 fof(f2173,plain,(
% 0.20/0.43 ![X0]: (~p0(X0,e)|~spl0_303)),
% 0.20/0.43 inference(component_clause,[status(thm)],[f2172])).
% 0.20/0.43 fof(f2177,plain,(
% 0.20/0.43 $false|~spl0_303),
% 0.20/0.43 inference(resolution,[status(thm)],[f2173,f383])).
% 0.20/0.43 fof(f2178,plain,(
% 0.20/0.43 ~spl0_303),
% 0.20/0.43 inference(contradiction_clause,[status(thm)],[f2177])).
% 0.20/0.43 fof(f2466,plain,(
% 0.20/0.43 ![X0,X1,X2]: (~q2(X0,X1,X2)|~n0(X0,X1)|~spl0_262)),
% 0.20/0.43 inference(forward_subsumption_resolution,[status(thm)],[f802,f1849])).
% 0.20/0.44 fof(f2470,plain,(
% 0.20/0.44 ![X0]: (~n0(X0,X0)|~p1(X0,X0,X0)|~spl0_262)),
% 0.20/0.44 inference(resolution,[status(thm)],[f2466,f692])).
% 0.20/0.44 fof(f2471,plain,(
% 0.20/0.44 ![X0]: (~n0(X0,X0)|~spl0_262)),
% 0.20/0.44 inference(forward_subsumption_resolution,[status(thm)],[f2470,f514])).
% 0.20/0.44 fof(f2482,plain,(
% 0.20/0.44 $false|~spl0_262),
% 0.20/0.44 inference(backward_subsumption_resolution,[status(thm)],[f399,f2471])).
% 0.20/0.44 fof(f2483,plain,(
% 0.20/0.44 ~spl0_262),
% 0.20/0.44 inference(contradiction_clause,[status(thm)],[f2482])).
% 0.20/0.44 fof(f2485,plain,(
% 0.20/0.44 ![X0,X1]: (~n3(X0)|~p0(X1,X0)|~spl0_300|~spl0_274)),
% 0.20/0.44 inference(forward_subsumption_resolution,[status(thm)],[f1891,f1982])).
% 0.20/0.44 fof(f2502,plain,(
% 0.20/0.44 ![X0]: (~p0(X0,e)|~spl0_249|~spl0_300|~spl0_274)),
% 0.20/0.44 inference(resolution,[status(thm)],[f1804,f2485])).
% 0.20/0.44 fof(f2503,plain,(
% 0.20/0.44 spl0_303|~spl0_249|~spl0_300|~spl0_274),
% 0.20/0.44 inference(split_clause,[status(thm)],[f2502,f2172,f1803,f1981,f1890])).
% 0.20/0.44 fof(f2504,plain,(
% 0.20/0.44 $false),
% 0.20/0.44 inference(sat_refutation,[status(thm)],[f1893,f1984,f2017,f2043,f2053,f2071,f2178,f2483,f2503])).
% 0.20/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.45 % Elapsed time: 0.100585 seconds
% 0.20/0.45 % CPU time: 0.599937 seconds
% 0.20/0.45 % Total memory used: 55.716 MB
% 0.20/0.45 % Net memory used: 54.748 MB
%------------------------------------------------------------------------------