TSTP Solution File: GEO009-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GEO009-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 20:16:46 EDT 2024
% Result : Unsatisfiable 18.42s 2.68s
% Output : CNFRefutation 18.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO009-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 01:51:14 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 18.42/2.68 % Refutation found
% 18.42/2.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.42/2.68 % SZS output start CNFRefutation for theBenchmark
% 18.42/2.68 fof(f32,axiom,(
% 18.42/2.68 (![U,V]: (between(U,V,reflection(U,V)) ))),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f36,axiom,(
% 18.42/2.68 (![V,U]: (( V != reflection(U,V)| U = V ) ))),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f45,axiom,(
% 18.42/2.68 (![U,V]: (between(U,V,V) ))),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f47,axiom,(
% 18.42/2.68 (![U,V,W]: (( ~ between(U,V,W)| between(W,V,U) ) ))),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f48,axiom,(
% 18.42/2.68 (![U,V]: (between(U,U,V) ))),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f49,axiom,(
% 18.42/2.68 (![U,V,W]: (( ~ between(U,V,W)| ~ between(V,U,W)| U = V ) ))),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f54,axiom,(
% 18.42/2.68 (![U,V,W,X]: (( ~ between(U,V,W)| ~ between(U,W,X)| between(V,W,X) ) ))),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f79,axiom,(
% 18.42/2.68 (![U,W,X,V]: (( ~ between(U,W,X)| ~ between(V,W,X)| W = X| between(U,V,W)| between(V,U,W) ) ))),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f80,hypothesis,(
% 18.42/2.68 between(a,c,e) ),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f81,hypothesis,(
% 18.42/2.68 between(a,d,e) ),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f82,hypothesis,(
% 18.42/2.68 ~ between(a,c,d) ),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f83,negated_conjecture,(
% 18.42/2.68 ~ between(a,d,c) ),
% 18.42/2.68 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.42/2.68 fof(f121,plain,(
% 18.42/2.68 ![X0,X1]: (between(X0,X1,reflection(X0,X1)))),
% 18.42/2.68 inference(cnf_transformation,[status(esa)],[f32])).
% 18.42/2.68 fof(f125,plain,(
% 18.42/2.68 ![X0,X1]: (~X0=reflection(X1,X0)|X1=X0)),
% 18.42/2.68 inference(cnf_transformation,[status(esa)],[f36])).
% 18.42/2.68 fof(f137,plain,(
% 18.42/2.68 ![X0,X1]: (between(X0,X1,X1))),
% 18.42/2.68 inference(cnf_transformation,[status(esa)],[f45])).
% 18.42/2.68 fof(f140,plain,(
% 18.42/2.68 ![X0,X1,X2]: (~between(X0,X1,X2)|between(X2,X1,X0))),
% 18.42/2.68 inference(cnf_transformation,[status(esa)],[f47])).
% 18.42/2.68 fof(f141,plain,(
% 18.42/2.68 ![X0,X1]: (between(X0,X0,X1))),
% 18.42/2.68 inference(cnf_transformation,[status(esa)],[f48])).
% 18.42/2.68 fof(f142,plain,(
% 18.42/2.68 ![U,V]: ((![W]: (~between(U,V,W)|~between(V,U,W)))|U=V)),
% 18.42/2.68 inference(miniscoping,[status(esa)],[f49])).
% 18.42/2.68 fof(f143,plain,(
% 18.42/2.68 ![X0,X1,X2]: (~between(X0,X1,X2)|~between(X1,X0,X2)|X0=X1)),
% 18.42/2.68 inference(cnf_transformation,[status(esa)],[f142])).
% 18.42/2.68 fof(f152,plain,(
% 18.42/2.68 ![V,W,X]: ((![U]: (~between(U,V,W)|~between(U,W,X)))|between(V,W,X))),
% 18.42/2.68 inference(miniscoping,[status(esa)],[f54])).
% 18.42/2.68 fof(f153,plain,(
% 18.42/2.68 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X0,X2,X3)|between(X1,X2,X3))),
% 18.42/2.68 inference(cnf_transformation,[status(esa)],[f152])).
% 18.42/2.68 fof(f192,plain,(
% 18.42/2.68 ![U,W,V]: (((![X]: ((~between(U,W,X)|~between(V,W,X))|W=X))|between(U,V,W))|between(V,U,W))),
% 18.42/2.68 inference(miniscoping,[status(esa)],[f79])).
% 18.42/2.68 fof(f193,plain,(
% 18.42/2.68 ![X0,X1,X2,X3]: (~between(X0,X1,X2)|~between(X3,X1,X2)|X1=X2|between(X0,X3,X1)|between(X3,X0,X1))),
% 18.42/2.68 inference(cnf_transformation,[status(esa)],[f192])).
% 18.42/2.69 fof(f194,plain,(
% 18.42/2.69 between(a,c,e)),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f80])).
% 18.42/2.69 fof(f195,plain,(
% 18.42/2.69 between(a,d,e)),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f81])).
% 18.42/2.69 fof(f196,plain,(
% 18.42/2.69 ~between(a,c,d)),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f82])).
% 18.42/2.69 fof(f197,plain,(
% 18.42/2.69 ~between(a,d,c)),
% 18.42/2.69 inference(cnf_transformation,[status(esa)],[f83])).
% 18.42/2.69 fof(f1537,plain,(
% 18.42/2.69 spl0_3 <=> a=c),
% 18.42/2.69 introduced(split_symbol_definition)).
% 18.42/2.69 fof(f1538,plain,(
% 18.42/2.69 a=c|~spl0_3),
% 18.42/2.69 inference(component_clause,[status(thm)],[f1537])).
% 18.42/2.69 fof(f1610,plain,(
% 18.42/2.69 spl0_17 <=> between(c,a,e)),
% 18.42/2.69 introduced(split_symbol_definition)).
% 18.42/2.69 fof(f1612,plain,(
% 18.42/2.69 ~between(c,a,e)|spl0_17),
% 18.42/2.69 inference(component_clause,[status(thm)],[f1610])).
% 18.42/2.69 fof(f1613,plain,(
% 18.42/2.69 ~between(c,a,e)|a=c),
% 18.42/2.69 inference(resolution,[status(thm)],[f194,f143])).
% 18.42/2.69 fof(f1614,plain,(
% 18.42/2.69 ~spl0_17|spl0_3),
% 18.42/2.69 inference(split_clause,[status(thm)],[f1613,f1610,f1537])).
% 18.42/2.69 fof(f1618,plain,(
% 18.42/2.69 between(e,c,a)),
% 18.42/2.69 inference(resolution,[status(thm)],[f194,f140])).
% 18.60/2.70 fof(f1620,plain,(
% 18.60/2.70 ~between(a,a,d)|~spl0_3),
% 18.60/2.70 inference(backward_demodulation,[status(thm)],[f1538,f196])).
% 18.60/2.70 fof(f1621,plain,(
% 18.60/2.70 $false|~spl0_3),
% 18.60/2.70 inference(forward_subsumption_resolution,[status(thm)],[f1620,f141])).
% 18.60/2.70 fof(f1622,plain,(
% 18.60/2.70 ~spl0_3),
% 18.60/2.70 inference(contradiction_clause,[status(thm)],[f1621])).
% 18.60/2.70 fof(f2038,plain,(
% 18.60/2.70 spl0_72 <=> a=reflection(e,a)),
% 18.60/2.70 introduced(split_symbol_definition)).
% 18.60/2.70 fof(f2039,plain,(
% 18.60/2.70 a=reflection(e,a)|~spl0_72),
% 18.60/2.70 inference(component_clause,[status(thm)],[f2038])).
% 18.60/2.70 fof(f2089,plain,(
% 18.60/2.70 spl0_82 <=> ~between(X0,a,reflection(e,a))|between(c,X0,a)|between(X0,c,a)),
% 18.60/2.70 introduced(split_symbol_definition)).
% 18.60/2.70 fof(f2090,plain,(
% 18.60/2.70 ![X0]: (~between(X0,a,reflection(e,a))|between(c,X0,a)|between(X0,c,a)|~spl0_82)),
% 18.60/2.70 inference(component_clause,[status(thm)],[f2089])).
% 18.60/2.70 fof(f2140,plain,(
% 18.60/2.70 spl0_89 <=> a=a),
% 18.60/2.70 introduced(split_symbol_definition)).
% 18.60/2.70 fof(f2142,plain,(
% 18.60/2.70 ~a=a|spl0_89),
% 18.60/2.70 inference(component_clause,[status(thm)],[f2140])).
% 18.60/2.70 fof(f2143,plain,(
% 18.60/2.70 spl0_90 <=> e=a),
% 18.60/2.70 introduced(split_symbol_definition)).
% 18.60/2.70 fof(f2144,plain,(
% 18.60/2.70 e=a|~spl0_90),
% 18.60/2.70 inference(component_clause,[status(thm)],[f2143])).
% 18.60/2.70 fof(f2146,plain,(
% 18.60/2.70 ~a=a|e=a|~spl0_72),
% 18.60/2.70 inference(paramodulation,[status(thm)],[f2039,f125])).
% 18.60/2.70 fof(f2147,plain,(
% 18.60/2.70 ~spl0_89|spl0_90|~spl0_72),
% 18.60/2.70 inference(split_clause,[status(thm)],[f2146,f2140,f2143,f2038])).
% 18.60/2.70 fof(f2148,plain,(
% 18.60/2.70 $false|spl0_89),
% 18.60/2.70 inference(trivial_equality_resolution,[status(esa)],[f2142])).
% 18.60/2.70 fof(f2149,plain,(
% 18.60/2.70 spl0_89),
% 18.60/2.70 inference(contradiction_clause,[status(thm)],[f2148])).
% 18.60/2.70 fof(f5112,plain,(
% 18.60/2.70 ![X0]: (~between(e,a,X0)|between(c,a,X0))),
% 18.60/2.70 inference(resolution,[status(thm)],[f1618,f153])).
% 18.60/2.70 fof(f5645,plain,(
% 18.60/2.70 between(c,a,reflection(e,a))),
% 18.60/2.70 inference(resolution,[status(thm)],[f5112,f121])).
% 18.60/2.70 fof(f5695,plain,(
% 18.60/2.70 ![X0]: (~between(X0,a,reflection(e,a))|a=reflection(e,a)|between(c,X0,a)|between(X0,c,a))),
% 18.60/2.70 inference(resolution,[status(thm)],[f5645,f193])).
% 18.60/2.70 fof(f5696,plain,(
% 18.60/2.70 spl0_82|spl0_72),
% 18.60/2.70 inference(split_clause,[status(thm)],[f5695,f2089,f2038])).
% 18.60/2.70 fof(f5728,plain,(
% 18.60/2.70 ~between(c,a,a)|~spl0_90|spl0_17),
% 18.60/2.70 inference(backward_demodulation,[status(thm)],[f2144,f1612])).
% 18.60/2.70 fof(f5729,plain,(
% 18.60/2.70 $false|~spl0_90|spl0_17),
% 18.60/2.70 inference(forward_subsumption_resolution,[status(thm)],[f5728,f137])).
% 18.60/2.70 fof(f5730,plain,(
% 18.60/2.70 ~spl0_90|spl0_17),
% 18.60/2.70 inference(contradiction_clause,[status(thm)],[f5729])).
% 18.60/2.70 fof(f8278,plain,(
% 18.60/2.70 between(e,d,a)),
% 18.60/2.70 inference(resolution,[status(thm)],[f195,f140])).
% 18.60/2.70 fof(f9832,plain,(
% 18.60/2.70 ![X0]: (~between(e,a,X0)|between(d,a,X0))),
% 18.60/2.70 inference(resolution,[status(thm)],[f8278,f153])).
% 18.60/2.70 fof(f9930,plain,(
% 18.60/2.70 spl0_665 <=> between(c,d,a)),
% 18.60/2.70 introduced(split_symbol_definition)).
% 18.60/2.70 fof(f9931,plain,(
% 18.60/2.70 between(c,d,a)|~spl0_665),
% 18.60/2.70 inference(component_clause,[status(thm)],[f9930])).
% 18.60/2.70 fof(f9933,plain,(
% 18.60/2.70 spl0_666 <=> between(d,c,a)),
% 18.60/2.70 introduced(split_symbol_definition)).
% 18.60/2.70 fof(f9934,plain,(
% 18.60/2.70 between(d,c,a)|~spl0_666),
% 18.60/2.70 inference(component_clause,[status(thm)],[f9933])).
% 18.60/2.70 fof(f10337,plain,(
% 18.60/2.70 between(d,a,reflection(e,a))),
% 18.60/2.70 inference(resolution,[status(thm)],[f9832,f121])).
% 18.60/2.70 fof(f10347,plain,(
% 18.60/2.70 between(c,d,a)|between(d,c,a)|~spl0_82),
% 18.60/2.70 inference(resolution,[status(thm)],[f10337,f2090])).
% 18.60/2.70 fof(f10348,plain,(
% 18.60/2.70 spl0_665|spl0_666|~spl0_82),
% 18.60/2.70 inference(split_clause,[status(thm)],[f10347,f9930,f9933,f2089])).
% 18.60/2.70 fof(f10566,plain,(
% 18.60/2.70 between(a,d,c)|~spl0_665),
% 18.60/2.70 inference(resolution,[status(thm)],[f9931,f140])).
% 18.60/2.70 fof(f10785,plain,(
% 18.60/2.70 $false|~spl0_665),
% 18.60/2.70 inference(forward_subsumption_resolution,[status(thm)],[f10566,f197])).
% 18.60/2.70 fof(f10786,plain,(
% 18.60/2.70 ~spl0_665),
% 18.60/2.70 inference(contradiction_clause,[status(thm)],[f10785])).
% 18.60/2.70 fof(f10979,plain,(
% 18.60/2.70 between(a,c,d)|~spl0_666),
% 18.60/2.70 inference(resolution,[status(thm)],[f9934,f140])).
% 18.60/2.70 fof(f10980,plain,(
% 18.60/2.70 $false|~spl0_666),
% 18.60/2.70 inference(forward_subsumption_resolution,[status(thm)],[f10979,f196])).
% 18.60/2.70 fof(f10981,plain,(
% 18.60/2.70 ~spl0_666),
% 18.60/2.70 inference(contradiction_clause,[status(thm)],[f10980])).
% 18.60/2.70 fof(f10982,plain,(
% 18.60/2.70 $false),
% 18.60/2.70 inference(sat_refutation,[status(thm)],[f1614,f1622,f2147,f2149,f5696,f5730,f10348,f10786,f10981])).
% 18.60/2.70 % SZS output end CNFRefutation for theBenchmark.p
% 18.60/2.71 % Elapsed time: 2.374661 seconds
% 18.60/2.71 % CPU time: 18.701151 seconds
% 18.60/2.71 % Total memory used: 151.537 MB
% 18.60/2.71 % Net memory used: 145.954 MB
%------------------------------------------------------------------------------