TSTP Solution File: SYN178-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN178-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:46:10 EDT 2023
% Result : Unsatisfiable 0.13s 0.42s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SYN178-1 : TPTP v8.1.2. Released v1.1.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.31 % Computer : n012.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Tue May 30 10:21:10 EDT 2023
% 0.08/0.31 % CPUTime :
% 0.13/0.32 % Drodi V3.5.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.42 fof(f1,axiom,(
% 0.13/0.42 s0(d) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f7,axiom,(
% 0.13/0.42 n0(d,b) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f9,axiom,(
% 0.13/0.42 r0(b) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f17,axiom,(
% 0.13/0.42 (![X]: (q0(X,d) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f19,axiom,(
% 0.13/0.42 (![X,Y]: (m0(X,d,Y) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f24,axiom,(
% 0.13/0.42 l0(c) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f32,axiom,(
% 0.13/0.42 k0(b) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f53,axiom,(
% 0.13/0.42 (![B,C,D]: (( m1(B,C,C)| ~ l0(D)| ~ m0(C,C,B) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f106,axiom,(
% 0.13/0.42 (![D]: (( p1(D,D,D)| ~ k0(D) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f151,axiom,(
% 0.13/0.42 (![H,I,J]: (( q1(H,H,I)| ~ r0(J)| ~ m1(H,I,I) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f162,axiom,(
% 0.13/0.42 (![D,E]: (( r1(D)| ~ q0(D,E)| ~ s0(d)| ~ q1(d,E,d) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f219,axiom,(
% 0.13/0.42 (![I]: (( q2(I,I,I)| ~ p1(I,I,I) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f225,axiom,(
% 0.13/0.42 (![C,D,E,F]: (( q2(C,D,C)| ~ r1(D)| ~ m0(E,F,C)| ~ k0(D)| ~ q2(D,D,D) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f293,axiom,(
% 0.13/0.42 (![G,H,I]: (( q3(G,H)| ~ q2(I,G,H)| ~ n0(I,G) ) ))),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f369,negated_conjecture,(
% 0.13/0.42 ~ q3(b,d) ),
% 0.13/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.42 fof(f370,plain,(
% 0.13/0.42 s0(d)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.42 fof(f376,plain,(
% 0.13/0.42 n0(d,b)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.42 fof(f378,plain,(
% 0.13/0.42 r0(b)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.42 fof(f386,plain,(
% 0.13/0.42 ![X0]: (q0(X0,d))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.42 fof(f388,plain,(
% 0.13/0.42 ![X0,X1]: (m0(X0,d,X1))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.42 fof(f393,plain,(
% 0.13/0.42 l0(c)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.42 fof(f401,plain,(
% 0.13/0.42 k0(b)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f32])).
% 0.13/0.42 fof(f432,plain,(
% 0.13/0.42 ![B,C]: ((m1(B,C,C)|(![D]: ~l0(D)))|~m0(C,C,B))),
% 0.13/0.42 inference(miniscoping,[status(esa)],[f53])).
% 0.13/0.42 fof(f433,plain,(
% 0.13/0.42 ![X0,X1,X2]: (m1(X0,X1,X1)|~l0(X2)|~m0(X1,X1,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f432])).
% 0.13/0.42 fof(f517,plain,(
% 0.13/0.42 ![X0]: (p1(X0,X0,X0)|~k0(X0))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f106])).
% 0.13/0.42 fof(f588,plain,(
% 0.13/0.42 ![H,I]: ((q1(H,H,I)|(![J]: ~r0(J)))|~m1(H,I,I))),
% 0.13/0.42 inference(miniscoping,[status(esa)],[f151])).
% 0.13/0.42 fof(f589,plain,(
% 0.13/0.42 ![X0,X1,X2]: (q1(X0,X0,X1)|~r0(X2)|~m1(X0,X1,X1))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f588])).
% 0.13/0.42 fof(f605,plain,(
% 0.13/0.42 ![E]: (((![D]: (r1(D)|~q0(D,E)))|~s0(d))|~q1(d,E,d))),
% 0.13/0.42 inference(miniscoping,[status(esa)],[f162])).
% 0.13/0.42 fof(f606,plain,(
% 0.13/0.42 ![X0,X1]: (r1(X0)|~q0(X0,X1)|~s0(d)|~q1(d,X1,d))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f605])).
% 0.13/0.42 fof(f692,plain,(
% 0.13/0.42 ![X0]: (q2(X0,X0,X0)|~p1(X0,X0,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f219])).
% 0.13/0.42 fof(f700,plain,(
% 0.13/0.42 ![D]: (((![C]: ((q2(C,D,C)|~r1(D))|(![E,F]: ~m0(E,F,C))))|~k0(D))|~q2(D,D,D))),
% 0.13/0.42 inference(miniscoping,[status(esa)],[f225])).
% 0.13/0.42 fof(f701,plain,(
% 0.13/0.42 ![X0,X1,X2,X3]: (q2(X0,X1,X0)|~r1(X1)|~m0(X2,X3,X0)|~k0(X1)|~q2(X1,X1,X1))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f700])).
% 0.13/0.42 fof(f801,plain,(
% 0.13/0.42 ![G,I]: ((![H]: (q3(G,H)|~q2(I,G,H)))|~n0(I,G))),
% 0.13/0.42 inference(miniscoping,[status(esa)],[f293])).
% 0.13/0.42 fof(f802,plain,(
% 0.13/0.42 ![X0,X1,X2]: (q3(X0,X1)|~q2(X2,X0,X1)|~n0(X2,X0))),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f801])).
% 0.13/0.42 fof(f924,plain,(
% 0.13/0.42 ~q3(b,d)),
% 0.13/0.42 inference(cnf_transformation,[status(esa)],[f369])).
% 0.13/0.42 fof(f928,plain,(
% 0.13/0.42 spl0_1 <=> ~r0(X3)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f929,plain,(
% 0.13/0.42 ![X0]: (~r0(X0)|~spl0_1)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f928])).
% 0.13/0.42 fof(f967,plain,(
% 0.13/0.42 spl0_12 <=> m1(X0,X1,X1)|~m0(X1,X1,X0)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f968,plain,(
% 0.13/0.42 ![X0,X1]: (m1(X0,X1,X1)|~m0(X1,X1,X0)|~spl0_12)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f967])).
% 0.13/0.42 fof(f970,plain,(
% 0.13/0.42 spl0_13 <=> ~l0(X2)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f971,plain,(
% 0.13/0.42 ![X0]: (~l0(X0)|~spl0_13)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f970])).
% 0.13/0.42 fof(f973,plain,(
% 0.13/0.42 spl0_12|spl0_13),
% 0.13/0.42 inference(split_clause,[status(thm)],[f433,f967,f970])).
% 0.13/0.42 fof(f987,plain,(
% 0.13/0.42 spl0_18 <=> s0(d)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f989,plain,(
% 0.13/0.42 ~s0(d)|spl0_18),
% 0.13/0.42 inference(component_clause,[status(thm)],[f987])).
% 0.13/0.42 fof(f994,plain,(
% 0.13/0.42 spl0_20 <=> l0(c)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f995,plain,(
% 0.13/0.42 l0(c)|~spl0_20),
% 0.13/0.42 inference(component_clause,[status(thm)],[f994])).
% 0.13/0.42 fof(f996,plain,(
% 0.13/0.42 ~l0(c)|spl0_20),
% 0.13/0.42 inference(component_clause,[status(thm)],[f994])).
% 0.13/0.42 fof(f1100,plain,(
% 0.13/0.42 spl0_50 <=> r0(b)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f1101,plain,(
% 0.13/0.42 r0(b)|~spl0_50),
% 0.13/0.42 inference(component_clause,[status(thm)],[f1100])).
% 0.13/0.42 fof(f1102,plain,(
% 0.13/0.42 ~r0(b)|spl0_50),
% 0.13/0.42 inference(component_clause,[status(thm)],[f1100])).
% 0.13/0.42 fof(f1120,plain,(
% 0.13/0.42 spl0_56 <=> k0(b)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f1122,plain,(
% 0.13/0.42 ~k0(b)|spl0_56),
% 0.13/0.42 inference(component_clause,[status(thm)],[f1120])).
% 0.13/0.42 fof(f1276,plain,(
% 0.13/0.42 spl0_99 <=> q1(X0,X0,X1)|~m1(X0,X1,X1)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f1277,plain,(
% 0.13/0.42 ![X0,X1]: (q1(X0,X0,X1)|~m1(X0,X1,X1)|~spl0_99)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f1276])).
% 0.13/0.42 fof(f1279,plain,(
% 0.13/0.42 spl0_99|spl0_1),
% 0.13/0.42 inference(split_clause,[status(thm)],[f589,f1276,f928])).
% 0.13/0.42 fof(f1300,plain,(
% 0.13/0.42 spl0_105 <=> r1(X0)|~q0(X0,X1)|~q1(d,X1,d)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f1301,plain,(
% 0.13/0.42 ![X0,X1]: (r1(X0)|~q0(X0,X1)|~q1(d,X1,d)|~spl0_105)),
% 0.13/0.42 inference(component_clause,[status(thm)],[f1300])).
% 0.13/0.42 fof(f1303,plain,(
% 0.13/0.42 spl0_105|~spl0_18),
% 0.13/0.42 inference(split_clause,[status(thm)],[f606,f1300,f987])).
% 0.13/0.42 fof(f1366,plain,(
% 0.13/0.42 spl0_124 <=> r1(b)),
% 0.13/0.42 introduced(split_symbol_definition)).
% 0.13/0.42 fof(f1368,plain,(
% 0.13/0.42 ~r1(b)|spl0_124),
% 0.13/0.42 inference(component_clause,[status(thm)],[f1366])).
% 0.13/0.42 fof(f2013,plain,(
% 0.13/0.42 $false|spl0_50),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1102,f378])).
% 0.13/0.42 fof(f2014,plain,(
% 0.13/0.42 spl0_50),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f2013])).
% 0.13/0.42 fof(f2015,plain,(
% 0.13/0.42 $false|spl0_56),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1122,f401])).
% 0.13/0.42 fof(f2016,plain,(
% 0.13/0.42 spl0_56),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f2015])).
% 0.13/0.42 fof(f2017,plain,(
% 0.13/0.42 $false|spl0_20),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f996,f393])).
% 0.13/0.42 fof(f2018,plain,(
% 0.13/0.42 spl0_20),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f2017])).
% 0.13/0.42 fof(f2019,plain,(
% 0.13/0.42 $false|spl0_18),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f989,f370])).
% 0.13/0.42 fof(f2020,plain,(
% 0.13/0.42 spl0_18),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f2019])).
% 0.13/0.42 fof(f2028,plain,(
% 0.13/0.42 $false|~spl0_1|~spl0_50),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1101,f929])).
% 0.13/0.42 fof(f2029,plain,(
% 0.13/0.42 ~spl0_1|~spl0_50),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f2028])).
% 0.13/0.42 fof(f2032,plain,(
% 0.13/0.42 $false|~spl0_13|~spl0_20),
% 0.13/0.42 inference(forward_subsumption_resolution,[status(thm)],[f995,f971])).
% 0.13/0.42 fof(f2033,plain,(
% 0.13/0.42 ~spl0_13|~spl0_20),
% 0.13/0.42 inference(contradiction_clause,[status(thm)],[f2032])).
% 0.13/0.42 fof(f2437,plain,(
% 0.13/0.42 ![X0]: (q2(X0,X0,X0)|~k0(X0))),
% 0.13/0.42 inference(resolution,[status(thm)],[f692,f517])).
% 0.13/0.42 fof(f2438,plain,(
% 0.13/0.42 ![X0,X1,X2,X3]: (q2(X0,X1,X0)|~r1(X1)|~m0(X2,X3,X0)|~k0(X1))),
% 0.13/0.42 inference(backward_subsumption_resolution,[status(thm)],[f701,f2437])).
% 0.13/0.42 fof(f2944,plain,(
% 0.13/0.42 ![X0]: (m1(X0,d,d)|~spl0_12)),
% 0.13/0.42 inference(resolution,[status(thm)],[f968,f388])).
% 0.13/0.42 fof(f3339,plain,(
% 0.13/0.42 ![X0]: (q1(X0,X0,d)|~spl0_12|~spl0_99)),
% 0.13/0.42 inference(resolution,[status(thm)],[f2944,f1277])).
% 0.13/0.42 fof(f3531,plain,(
% 0.13/0.42 ![X0,X1]: (q2(X0,X1,X0)|~r1(X1)|~k0(X1))),
% 0.13/0.42 inference(resolution,[status(thm)],[f2438,f388])).
% 0.13/0.42 fof(f3539,plain,(
% 0.54/0.66 ![X0,X1]: (~r1(X0)|~k0(X0)|q3(X0,X1)|~n0(X1,X0))),
% 0.54/0.66 inference(resolution,[status(thm)],[f3531,f802])).
% 0.54/0.66 fof(f3566,plain,(
% 0.54/0.66 spl0_470 <=> q3(b,d)),
% 0.54/0.66 introduced(split_symbol_definition)).
% 0.54/0.66 fof(f3567,plain,(
% 0.54/0.66 q3(b,d)|~spl0_470),
% 0.54/0.66 inference(component_clause,[status(thm)],[f3566])).
% 0.54/0.66 fof(f3569,plain,(
% 0.54/0.66 ~r1(b)|~k0(b)|q3(b,d)),
% 0.54/0.66 inference(resolution,[status(thm)],[f3539,f376])).
% 0.54/0.66 fof(f3570,plain,(
% 0.54/0.66 ~spl0_124|~spl0_56|spl0_470),
% 0.54/0.66 inference(split_clause,[status(thm)],[f3569,f1366,f1120,f3566])).
% 0.54/0.66 fof(f3810,plain,(
% 0.54/0.66 ![X0]: (r1(X0)|~q0(X0,d)|~spl0_105|~spl0_12|~spl0_99)),
% 0.54/0.66 inference(resolution,[status(thm)],[f1301,f3339])).
% 0.54/0.66 fof(f3811,plain,(
% 0.54/0.66 ![X0]: (r1(X0)|~spl0_105|~spl0_12|~spl0_99)),
% 0.54/0.66 inference(forward_subsumption_resolution,[status(thm)],[f3810,f386])).
% 0.54/0.66 fof(f3832,plain,(
% 0.54/0.66 $false|~spl0_105|~spl0_12|~spl0_99|spl0_124),
% 0.54/0.66 inference(backward_subsumption_resolution,[status(thm)],[f1368,f3811])).
% 0.54/0.66 fof(f3833,plain,(
% 0.54/0.66 ~spl0_105|~spl0_12|~spl0_99|spl0_124),
% 0.54/0.66 inference(contradiction_clause,[status(thm)],[f3832])).
% 0.54/0.66 fof(f3841,plain,(
% 0.54/0.66 $false|~spl0_470),
% 0.54/0.66 inference(forward_subsumption_resolution,[status(thm)],[f3567,f924])).
% 0.54/0.66 fof(f3842,plain,(
% 0.54/0.66 ~spl0_470),
% 0.54/0.66 inference(contradiction_clause,[status(thm)],[f3841])).
% 0.54/0.66 fof(f3843,plain,(
% 0.54/0.66 $false),
% 0.54/0.66 inference(sat_refutation,[status(thm)],[f973,f1279,f1303,f2014,f2016,f2018,f2020,f2029,f2033,f3570,f3833,f3842])).
% 0.54/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 0.54/0.66 % Elapsed time: 0.133530 seconds
% 0.54/0.66 % CPU time: 0.372923 seconds
% 0.54/0.66 % Memory used: 22.129 MB
%------------------------------------------------------------------------------