TSTP Solution File: FLD041-3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD041-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:07:00 EDT 2023
% Result : Unsatisfiable 8.75s 1.50s
% Output : CNFRefutation 8.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : FLD041-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n022.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:00:27 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 8.75/1.50 % Refutation found
% 8.75/1.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.75/1.50 % SZS output start CNFRefutation for theBenchmark
% 8.75/1.50 fof(f1,axiom,(
% 8.75/1.50 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f3,axiom,(
% 8.75/1.50 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f4,axiom,(
% 8.75/1.50 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f5,axiom,(
% 8.75/1.50 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f6,axiom,(
% 8.75/1.50 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f8,axiom,(
% 8.75/1.50 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f9,axiom,(
% 8.75/1.50 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f10,axiom,(
% 8.75/1.50 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f11,axiom,(
% 8.75/1.50 (![C,D,B,X,Y,A,Z]: (( sum(C,D,B)| ~ sum(X,Y,A)| ~ product(A,Z,B)| ~ product(X,Z,C)| ~ product(Y,Z,D) ) ))),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f14,axiom,(
% 8.75/1.50 defined(additive_identity) ),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f27,hypothesis,(
% 8.75/1.50 defined(a) ),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f28,hypothesis,(
% 8.75/1.50 defined(b) ),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f29,negated_conjecture,(
% 8.75/1.50 ~ sum(additive_identity,a,additive_identity) ),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f30,negated_conjecture,(
% 8.75/1.50 ~ sum(additive_identity,b,additive_identity) ),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f31,negated_conjecture,(
% 8.75/1.50 product(a,b,additive_identity) ),
% 8.75/1.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 8.75/1.50 fof(f32,plain,(
% 8.75/1.50 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 8.75/1.50 inference(miniscoping,[status(esa)],[f1])).
% 8.75/1.50 fof(f33,plain,(
% 8.75/1.50 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 8.75/1.50 inference(cnf_transformation,[status(esa)],[f32])).
% 8.75/1.50 fof(f36,plain,(
% 8.75/1.50 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 8.75/1.50 inference(cnf_transformation,[status(esa)],[f3])).
% 8.75/1.50 fof(f37,plain,(
% 8.75/1.50 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 8.75/1.50 inference(cnf_transformation,[status(esa)],[f4])).
% 8.75/1.50 fof(f38,plain,(
% 8.75/1.50 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 8.75/1.50 inference(cnf_transformation,[status(esa)],[f5])).
% 8.75/1.50 fof(f39,plain,(
% 8.75/1.50 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 8.75/1.51 inference(miniscoping,[status(esa)],[f6])).
% 8.75/1.51 fof(f40,plain,(
% 8.75/1.51 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 8.75/1.51 inference(cnf_transformation,[status(esa)],[f39])).
% 8.75/1.51 fof(f43,plain,(
% 8.75/1.51 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 8.75/1.51 inference(cnf_transformation,[status(esa)],[f8])).
% 8.75/1.51 fof(f44,plain,(
% 8.75/1.51 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 8.75/1.51 inference(cnf_transformation,[status(esa)],[f9])).
% 8.75/1.51 fof(f45,plain,(
% 8.75/1.51 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 8.75/1.51 inference(cnf_transformation,[status(esa)],[f10])).
% 8.75/1.51 fof(f46,plain,(
% 8.75/1.51 ![D,Y,Z]: ((![C,X]: ((![B,A]: ((sum(C,D,B)|~sum(X,Y,A))|~product(A,Z,B)))|~product(X,Z,C)))|~product(Y,Z,D))),
% 8.75/1.51 inference(miniscoping,[status(esa)],[f11])).
% 8.75/1.51 fof(f47,plain,(
% 8.75/1.51 ![X0,X1,X2,X3,X4,X5,X6]: (sum(X0,X1,X2)|~sum(X3,X4,X5)|~product(X5,X6,X2)|~product(X3,X6,X0)|~product(X4,X6,X1))),
% 8.75/1.51 inference(cnf_transformation,[status(esa)],[f46])).
% 8.75/1.52 fof(f52,plain,(
% 8.75/1.52 defined(additive_identity)),
% 8.75/1.52 inference(cnf_transformation,[status(esa)],[f14])).
% 8.75/1.52 fof(f71,plain,(
% 8.75/1.52 defined(a)),
% 8.75/1.52 inference(cnf_transformation,[status(esa)],[f27])).
% 8.75/1.52 fof(f72,plain,(
% 8.75/1.52 defined(b)),
% 8.75/1.52 inference(cnf_transformation,[status(esa)],[f28])).
% 8.75/1.52 fof(f73,plain,(
% 8.75/1.52 ~sum(additive_identity,a,additive_identity)),
% 8.75/1.52 inference(cnf_transformation,[status(esa)],[f29])).
% 8.75/1.52 fof(f74,plain,(
% 8.75/1.52 ~sum(additive_identity,b,additive_identity)),
% 8.75/1.52 inference(cnf_transformation,[status(esa)],[f30])).
% 8.75/1.52 fof(f75,plain,(
% 8.75/1.52 product(a,b,additive_identity)),
% 8.75/1.52 inference(cnf_transformation,[status(esa)],[f31])).
% 8.75/1.52 fof(f78,plain,(
% 8.75/1.52 ![X0,X1,X2,X3]: (sum(X0,X1,X1)|~sum(X0,X2,X2)|~sum(X2,X3,X1))),
% 8.75/1.52 inference(factoring,[status(esa)],[f33])).
% 8.75/1.52 fof(f83,plain,(
% 8.75/1.52 ![X0,X1,X2]: (product(X0,additive_identity,X1)|~product(X0,a,X2)|~product(X2,b,X1))),
% 8.75/1.52 inference(resolution,[status(thm)],[f40,f75])).
% 8.75/1.52 fof(f94,plain,(
% 8.75/1.52 spl0_0 <=> sum(additive_identity,additive_identity,additive_identity)),
% 8.75/1.52 introduced(split_symbol_definition)).
% 8.75/1.52 fof(f96,plain,(
% 8.75/1.52 ~sum(additive_identity,additive_identity,additive_identity)|spl0_0),
% 8.75/1.52 inference(component_clause,[status(thm)],[f94])).
% 8.75/1.52 fof(f97,plain,(
% 8.75/1.52 spl0_1 <=> sum(b,b,b)),
% 8.75/1.52 introduced(split_symbol_definition)).
% 8.75/1.52 fof(f98,plain,(
% 8.75/1.52 sum(b,b,b)|~spl0_1),
% 8.75/1.52 inference(component_clause,[status(thm)],[f97])).
% 8.75/1.52 fof(f115,plain,(
% 8.75/1.52 ![X0,X1,X2]: (sum(X0,X0,X0)|~sum(X1,X1,X1)|~product(X1,X2,X0))),
% 8.75/1.52 inference(factoring,[status(esa)],[f47])).
% 8.75/1.52 fof(f120,plain,(
% 8.75/1.52 spl0_3 <=> defined(additive_identity)),
% 8.75/1.52 introduced(split_symbol_definition)).
% 8.75/1.52 fof(f122,plain,(
% 8.75/1.52 ~defined(additive_identity)|spl0_3),
% 8.75/1.52 inference(component_clause,[status(thm)],[f120])).
% 8.75/1.52 fof(f249,plain,(
% 8.75/1.52 ![X0]: (~defined(X0)|sum(X0,additive_inverse(X0),additive_identity))),
% 8.75/1.52 inference(resolution,[status(thm)],[f37,f38])).
% 8.75/1.52 fof(f253,plain,(
% 8.75/1.52 ![X0,X1]: (~defined(X0)|sum(X1,additive_identity,additive_identity)|~sum(X1,X0,X0))),
% 8.75/1.52 inference(resolution,[status(thm)],[f249,f78])).
% 8.75/1.52 fof(f299,plain,(
% 8.75/1.52 spl0_17 <=> defined(b)),
% 8.75/1.52 introduced(split_symbol_definition)).
% 8.75/1.52 fof(f301,plain,(
% 8.75/1.52 ~defined(b)|spl0_17),
% 8.75/1.52 inference(component_clause,[status(thm)],[f299])).
% 8.75/1.52 fof(f307,plain,(
% 8.75/1.52 spl0_19 <=> defined(a)),
% 8.75/1.52 introduced(split_symbol_definition)).
% 8.75/1.52 fof(f309,plain,(
% 8.75/1.52 ~defined(a)|spl0_19),
% 8.75/1.52 inference(component_clause,[status(thm)],[f307])).
% 8.75/1.52 fof(f341,plain,(
% 8.75/1.52 $false|spl0_19),
% 8.75/1.52 inference(forward_subsumption_resolution,[status(thm)],[f309,f71])).
% 8.75/1.52 fof(f342,plain,(
% 8.75/1.52 spl0_19),
% 8.75/1.52 inference(contradiction_clause,[status(thm)],[f341])).
% 8.75/1.52 fof(f343,plain,(
% 8.75/1.52 $false|spl0_17),
% 8.75/1.52 inference(forward_subsumption_resolution,[status(thm)],[f301,f72])).
% 8.75/1.52 fof(f344,plain,(
% 8.75/1.52 spl0_17),
% 8.75/1.52 inference(contradiction_clause,[status(thm)],[f343])).
% 8.75/1.52 fof(f380,plain,(
% 8.75/1.52 $false|spl0_3),
% 8.75/1.52 inference(forward_subsumption_resolution,[status(thm)],[f122,f52])).
% 8.75/1.52 fof(f381,plain,(
% 8.75/1.52 spl0_3),
% 8.75/1.52 inference(contradiction_clause,[status(thm)],[f380])).
% 8.75/1.52 fof(f516,plain,(
% 8.75/1.52 ~defined(additive_identity)|spl0_0),
% 8.75/1.52 inference(resolution,[status(thm)],[f96,f36])).
% 8.75/1.52 fof(f517,plain,(
% 8.75/1.52 ~spl0_3|spl0_0),
% 8.75/1.52 inference(split_clause,[status(thm)],[f516,f120,f94])).
% 8.75/1.52 fof(f569,plain,(
% 8.75/1.52 spl0_32 <=> sum(additive_identity,b,additive_identity)),
% 8.75/1.52 introduced(split_symbol_definition)).
% 8.75/1.52 fof(f570,plain,(
% 8.75/1.52 sum(additive_identity,b,additive_identity)|~spl0_32),
% 8.75/1.52 inference(component_clause,[status(thm)],[f569])).
% 8.75/1.52 fof(f585,plain,(
% 8.75/1.52 spl0_35 <=> product(X0,additive_identity,b)|~product(X0,a,multiplicative_identity)),
% 8.75/1.52 introduced(split_symbol_definition)).
% 8.75/1.52 fof(f586,plain,(
% 8.75/1.52 ![X0]: (product(X0,additive_identity,b)|~product(X0,a,multiplicative_identity)|~spl0_35)),
% 8.75/1.52 inference(component_clause,[status(thm)],[f585])).
% 8.75/1.52 fof(f588,plain,(
% 8.75/1.52 ![X0]: (product(X0,additive_identity,b)|~product(X0,a,multiplicative_identity)|~defined(b))),
% 8.75/1.52 inference(resolution,[status(thm)],[f83,f43])).
% 8.75/1.52 fof(f589,plain,(
% 8.75/1.52 spl0_35|~spl0_17),
% 8.75/1.52 inference(split_clause,[status(thm)],[f588,f585,f299])).
% 8.75/1.52 fof(f591,plain,(
% 8.75/1.52 $false|~spl0_32),
% 8.75/1.52 inference(forward_subsumption_resolution,[status(thm)],[f570,f74])).
% 8.75/1.52 fof(f592,plain,(
% 8.75/1.52 ~spl0_32),
% 8.75/1.52 inference(contradiction_clause,[status(thm)],[f591])).
% 8.75/1.52 fof(f670,plain,(
% 8.75/1.52 spl0_44 <=> sum(additive_identity,a,additive_identity)),
% 8.75/1.52 introduced(split_symbol_definition)).
% 8.75/1.52 fof(f671,plain,(
% 8.75/1.52 sum(additive_identity,a,additive_identity)|~spl0_44),
% 8.75/1.52 inference(component_clause,[status(thm)],[f670])).
% 8.75/1.52 fof(f1022,plain,(
% 8.75/1.52 spl0_74 <=> product(multiplicative_inverse(a),additive_identity,b)),
% 8.75/1.52 introduced(split_symbol_definition)).
% 8.75/1.52 fof(f1023,plain,(
% 8.75/1.52 product(multiplicative_inverse(a),additive_identity,b)|~spl0_74),
% 8.75/1.52 inference(component_clause,[status(thm)],[f1022])).
% 8.75/1.52 fof(f1025,plain,(
% 8.75/1.52 product(multiplicative_inverse(a),additive_identity,b)|sum(additive_identity,a,additive_identity)|~defined(a)|~spl0_35),
% 8.75/1.52 inference(resolution,[status(thm)],[f586,f44])).
% 8.75/1.52 fof(f1026,plain,(
% 8.75/1.52 spl0_74|spl0_44|~spl0_19|~spl0_35),
% 8.75/1.52 inference(split_clause,[status(thm)],[f1025,f1022,f670,f307,f585])).
% 8.75/1.52 fof(f1027,plain,(
% 8.75/1.52 $false|~spl0_44),
% 8.75/1.52 inference(forward_subsumption_resolution,[status(thm)],[f671,f73])).
% 8.75/1.52 fof(f1028,plain,(
% 8.75/1.52 ~spl0_44),
% 8.75/1.52 inference(contradiction_clause,[status(thm)],[f1027])).
% 8.75/1.52 fof(f1229,plain,(
% 8.75/1.52 spl0_82 <=> sum(b,additive_identity,additive_identity)),
% 8.75/1.52 introduced(split_symbol_definition)).
% 8.75/1.52 fof(f1230,plain,(
% 8.75/1.52 sum(b,additive_identity,additive_identity)|~spl0_82),
% 8.75/1.52 inference(component_clause,[status(thm)],[f1229])).
% 8.75/1.52 fof(f1232,plain,(
% 8.75/1.52 ~defined(b)|sum(b,additive_identity,additive_identity)|~spl0_1),
% 8.75/1.52 inference(resolution,[status(thm)],[f98,f253])).
% 8.75/1.52 fof(f1233,plain,(
% 8.75/1.52 ~spl0_17|spl0_82|~spl0_1),
% 8.75/1.52 inference(split_clause,[status(thm)],[f1232,f299,f1229,f97])).
% 8.75/1.52 fof(f1272,plain,(
% 8.75/1.52 sum(additive_identity,b,additive_identity)|~spl0_82),
% 8.75/1.52 inference(resolution,[status(thm)],[f1230,f38])).
% 8.75/1.52 fof(f1273,plain,(
% 8.75/1.52 spl0_32|~spl0_82),
% 8.75/1.52 inference(split_clause,[status(thm)],[f1272,f569,f1229])).
% 8.75/1.52 fof(f2515,plain,(
% 8.75/1.52 product(additive_identity,multiplicative_inverse(a),b)|~spl0_74),
% 8.75/1.52 inference(resolution,[status(thm)],[f1023,f45])).
% 8.75/1.52 fof(f3533,plain,(
% 8.75/1.52 sum(b,b,b)|~sum(additive_identity,additive_identity,additive_identity)|~spl0_74),
% 8.75/1.52 inference(resolution,[status(thm)],[f2515,f115])).
% 8.75/1.52 fof(f3534,plain,(
% 8.75/1.52 spl0_1|~spl0_0|~spl0_74),
% 8.75/1.52 inference(split_clause,[status(thm)],[f3533,f97,f94,f1022])).
% 8.75/1.52 fof(f3552,plain,(
% 8.75/1.52 $false),
% 8.75/1.52 inference(sat_refutation,[status(thm)],[f342,f344,f381,f517,f589,f592,f1026,f1028,f1233,f1273,f3534])).
% 8.75/1.52 % SZS output end CNFRefutation for theBenchmark.p
% 8.75/1.53 % Elapsed time: 1.229094 seconds
% 8.75/1.53 % CPU time: 9.193664 seconds
% 8.75/1.53 % Memory used: 49.308 MB
%------------------------------------------------------------------------------