TSTP Solution File: COL100-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:13:51 EDT 2024
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n028.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 : Mon Apr 29 22:47:29 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.20/0.50 % Refutation found
% 0.20/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.50 fof(f7,axiom,(
% 0.20/0.50 (![A,B,R]: (( ~ member(pair(A,B),R)| member(pair(A,B),trancl(R)) ) ))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f8,axiom,(
% 0.20/0.50 (![R]: (trans(trancl(R)) ))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f9,axiom,(
% 0.20/0.50 (![R,A,B,C]: (( ~ trans(R)| ~ member(pair(A,B),R)| ~ member(pair(B,C),R)| member(pair(A,C),R) ) ))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f10,axiom,(
% 0.20/0.50 (![R,X,Y,YP]: (( ~ diamond(R)| ~ member(pair(X,Y),trancl(R))| ~ member(pair(X,YP),R)| member(pair(YP,diamond_strip_lemmaD_sk1(X,Y,YP,R)),trancl(R)) ) ))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f11,axiom,(
% 0.20/0.50 (![R,X,Y,YP]: (( ~ diamond(R)| ~ member(pair(X,Y),trancl(R))| ~ member(pair(X,YP),R)| member(pair(Y,diamond_strip_lemmaD_sk1(X,Y,YP,R)),R) ) ))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f12,hypothesis,(
% 0.20/0.50 diamond(r) ),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f14,hypothesis,(
% 0.20/0.50 member(pair(ya,z),r) ),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f15,hypothesis,(
% 0.20/0.50 (![YP]: (( ~ member(pair(y,YP),trancl(r))| member(pair(ya,sk1(YP)),trancl(r)) ) ))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f16,hypothesis,(
% 0.20/0.50 (![YP]: (( ~ member(pair(y,YP),trancl(r))| member(pair(YP,sk1(YP)),trancl(r)) ) ))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f17,negated_conjecture,(
% 0.20/0.50 member(pair(y,yp),trancl(r)) ),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f18,negated_conjecture,(
% 0.20/0.50 (![ZA]: (( ~ member(pair(z,ZA),trancl(r))| ~ member(pair(yp,ZA),trancl(r)) ) ))),
% 0.20/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.50 fof(f27,plain,(
% 0.20/0.50 ![X0,X1,X2]: (~member(pair(X0,X1),X2)|member(pair(X0,X1),trancl(X2)))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f7])).
% 0.20/0.50 fof(f28,plain,(
% 0.20/0.50 ![X0]: (trans(trancl(X0)))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f8])).
% 0.20/0.50 fof(f29,plain,(
% 0.20/0.50 ![R,A,C]: ((![B]: ((~trans(R)|~member(pair(A,B),R))|~member(pair(B,C),R)))|member(pair(A,C),R))),
% 0.20/0.50 inference(miniscoping,[status(esa)],[f9])).
% 0.20/0.50 fof(f30,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (~trans(X0)|~member(pair(X1,X2),X0)|~member(pair(X2,X3),X0)|member(pair(X1,X3),X0))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f29])).
% 0.20/0.50 fof(f31,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (~diamond(X0)|~member(pair(X1,X2),trancl(X0))|~member(pair(X1,X3),X0)|member(pair(X3,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),trancl(X0)))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.50 fof(f32,plain,(
% 0.20/0.50 ![X0,X1,X2,X3]: (~diamond(X0)|~member(pair(X1,X2),trancl(X0))|~member(pair(X1,X3),X0)|member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),X0))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.50 fof(f33,plain,(
% 0.20/0.50 diamond(r)),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.50 fof(f35,plain,(
% 0.20/0.50 member(pair(ya,z),r)),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.50 fof(f36,plain,(
% 0.20/0.50 ![X0]: (~member(pair(y,X0),trancl(r))|member(pair(ya,sk1(X0)),trancl(r)))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.50 fof(f37,plain,(
% 0.20/0.50 ![X0]: (~member(pair(y,X0),trancl(r))|member(pair(X0,sk1(X0)),trancl(r)))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.50 fof(f38,plain,(
% 0.20/0.50 member(pair(y,yp),trancl(r))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.50 fof(f39,plain,(
% 0.20/0.50 ![X0]: (~member(pair(z,X0),trancl(r))|~member(pair(yp,X0),trancl(r)))),
% 0.20/0.50 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.50 fof(f63,plain,(
% 0.20/0.50 member(pair(yp,sk1(yp)),trancl(r))),
% 0.20/0.50 inference(resolution,[status(thm)],[f37,f38])).
% 0.20/0.50 fof(f65,plain,(
% 0.20/0.50 spl0_0 <=> trans(trancl(r))),
% 0.20/0.50 introduced(split_symbol_definition)).
% 0.20/0.50 fof(f67,plain,(
% 0.20/0.50 ~trans(trancl(r))|spl0_0),
% 0.20/0.50 inference(component_clause,[status(thm)],[f65])).
% 0.20/0.50 fof(f221,plain,(
% 0.20/0.50 $false|spl0_0),
% 0.20/0.50 inference(forward_subsumption_resolution,[status(thm)],[f67,f28])).
% 0.20/0.50 fof(f222,plain,(
% 0.20/0.50 spl0_0),
% 0.20/0.50 inference(contradiction_clause,[status(thm)],[f221])).
% 0.20/0.51 fof(f223,plain,(
% 0.20/0.51 spl0_32 <=> diamond(r)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f225,plain,(
% 0.20/0.51 ~diamond(r)|spl0_32),
% 0.20/0.51 inference(component_clause,[status(thm)],[f223])).
% 0.20/0.51 fof(f357,plain,(
% 0.20/0.51 $false|spl0_32),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f225,f33])).
% 0.20/0.51 fof(f358,plain,(
% 0.20/0.51 spl0_32),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f357])).
% 0.20/0.51 fof(f480,plain,(
% 0.20/0.51 spl0_86 <=> ~member(pair(sk1(yp),X0),trancl(r))|member(pair(yp,X0),trancl(r))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f481,plain,(
% 0.20/0.51 ![X0]: (~member(pair(sk1(yp),X0),trancl(r))|member(pair(yp,X0),trancl(r))|~spl0_86)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f480])).
% 0.20/0.51 fof(f483,plain,(
% 0.20/0.51 ![X0]: (~trans(trancl(r))|~member(pair(sk1(yp),X0),trancl(r))|member(pair(yp,X0),trancl(r)))),
% 0.20/0.51 inference(resolution,[status(thm)],[f63,f30])).
% 0.20/0.51 fof(f484,plain,(
% 0.20/0.51 ~spl0_0|spl0_86),
% 0.20/0.51 inference(split_clause,[status(thm)],[f483,f65,f480])).
% 0.20/0.51 fof(f787,plain,(
% 0.20/0.51 member(pair(ya,sk1(yp)),trancl(r))),
% 0.20/0.51 inference(resolution,[status(thm)],[f36,f38])).
% 0.20/0.51 fof(f788,plain,(
% 0.20/0.51 spl0_141 <=> ~member(pair(ya,X0),r)|member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),X0,r)),r)),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f789,plain,(
% 0.20/0.51 ![X0]: (~member(pair(ya,X0),r)|member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),X0,r)),r)|~spl0_141)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f788])).
% 0.20/0.51 fof(f791,plain,(
% 0.20/0.51 ![X0]: (~diamond(r)|~member(pair(ya,X0),r)|member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),X0,r)),r))),
% 0.20/0.51 inference(resolution,[status(thm)],[f787,f32])).
% 0.20/0.51 fof(f792,plain,(
% 0.20/0.51 ~spl0_32|spl0_141),
% 0.20/0.51 inference(split_clause,[status(thm)],[f791,f223,f788])).
% 0.20/0.51 fof(f793,plain,(
% 0.20/0.51 spl0_142 <=> ~member(pair(ya,X0),r)|member(pair(X0,diamond_strip_lemmaD_sk1(ya,sk1(yp),X0,r)),trancl(r))),
% 0.20/0.51 introduced(split_symbol_definition)).
% 0.20/0.51 fof(f794,plain,(
% 0.20/0.51 ![X0]: (~member(pair(ya,X0),r)|member(pair(X0,diamond_strip_lemmaD_sk1(ya,sk1(yp),X0,r)),trancl(r))|~spl0_142)),
% 0.20/0.51 inference(component_clause,[status(thm)],[f793])).
% 0.20/0.51 fof(f796,plain,(
% 0.20/0.51 ![X0]: (~diamond(r)|~member(pair(ya,X0),r)|member(pair(X0,diamond_strip_lemmaD_sk1(ya,sk1(yp),X0,r)),trancl(r)))),
% 0.20/0.51 inference(resolution,[status(thm)],[f787,f31])).
% 0.20/0.51 fof(f797,plain,(
% 0.20/0.51 ~spl0_32|spl0_142),
% 0.20/0.51 inference(split_clause,[status(thm)],[f796,f223,f793])).
% 0.20/0.51 fof(f1693,plain,(
% 0.20/0.51 member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r)|~spl0_141),
% 0.20/0.51 inference(resolution,[status(thm)],[f789,f35])).
% 0.20/0.51 fof(f1774,plain,(
% 0.20/0.51 member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))|~spl0_142),
% 0.20/0.51 inference(resolution,[status(thm)],[f794,f35])).
% 0.20/0.51 fof(f2189,plain,(
% 0.20/0.51 member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))|~spl0_141),
% 0.20/0.51 inference(resolution,[status(thm)],[f1693,f27])).
% 0.20/0.51 fof(f3142,plain,(
% 0.20/0.51 member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))|~spl0_141|~spl0_86),
% 0.20/0.51 inference(resolution,[status(thm)],[f2189,f481])).
% 0.20/0.51 fof(f3159,plain,(
% 0.20/0.51 ~member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r))|~spl0_141|~spl0_86),
% 0.20/0.51 inference(resolution,[status(thm)],[f3142,f39])).
% 0.20/0.51 fof(f3160,plain,(
% 0.20/0.51 $false|~spl0_142|~spl0_141|~spl0_86),
% 0.20/0.51 inference(forward_subsumption_resolution,[status(thm)],[f3159,f1774])).
% 0.20/0.51 fof(f3161,plain,(
% 0.20/0.51 ~spl0_142|~spl0_141|~spl0_86),
% 0.20/0.51 inference(contradiction_clause,[status(thm)],[f3160])).
% 0.20/0.51 fof(f3162,plain,(
% 0.20/0.51 $false),
% 0.20/0.51 inference(sat_refutation,[status(thm)],[f222,f358,f484,f792,f797,f3161])).
% 0.20/0.51 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.52 % Elapsed time: 0.172748 seconds
% 0.20/0.52 % CPU time: 1.265288 seconds
% 0.20/0.52 % Total memory used: 44.773 MB
% 0.20/0.52 % Net memory used: 44.127 MB
%------------------------------------------------------------------------------