TSTP Solution File: GRP037-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:18:52 EDT 2024
% Result : Unsatisfiable 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP037-3 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n006.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 : Tue Apr 30 00:29:35 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.19/0.37 % Refutation found
% 0.19/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.37 fof(f2,axiom,(
% 0.19/0.37 (![X]: (product(X,identity,X) ))),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f4,axiom,(
% 0.19/0.37 (![X]: (product(X,inverse(X),identity) ))),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f6,axiom,(
% 0.19/0.37 (![X,Y,Z,W]: (( ~ product(X,Y,Z)| ~ product(X,Y,W)| Z = W ) ))),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f9,axiom,(
% 0.19/0.37 (![A,B,C]: (( ~ subgroup_member(A)| ~ subgroup_member(B)| ~ product(A,inverse(B),C)| subgroup_member(C) ) ))),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f10,hypothesis,(
% 0.19/0.37 (![A]: (( ~ subgroup_member(A)| product(another_identity,A,A) ) ))),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f12,hypothesis,(
% 0.19/0.37 (![A]: (( ~ subgroup_member(A)| product(A,another_inverse(A),another_identity) ) ))),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f15,hypothesis,(
% 0.19/0.37 (![A,B,C,D]: (( ~ product(A,B,C)| ~ product(A,D,C)| D = B ) ))),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f17,hypothesis,(
% 0.19/0.37 subgroup_member(a) ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f18,hypothesis,(
% 0.19/0.37 subgroup_member(another_identity) ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f19,negated_conjecture,(
% 0.19/0.37 inverse(a) != another_inverse(a) ),
% 0.19/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.37 fof(f21,plain,(
% 0.19/0.37 ![X0]: (product(X0,identity,X0))),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.37 fof(f23,plain,(
% 0.19/0.37 ![X0]: (product(X0,inverse(X0),identity))),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.37 fof(f25,plain,(
% 0.19/0.37 ![Z,W]: ((![X,Y]: (~product(X,Y,Z)|~product(X,Y,W)))|Z=W)),
% 0.19/0.37 inference(miniscoping,[status(esa)],[f6])).
% 0.19/0.37 fof(f26,plain,(
% 0.19/0.37 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|X2=X3)),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f25])).
% 0.19/0.37 fof(f31,plain,(
% 0.19/0.37 ![C]: ((![A,B]: ((~subgroup_member(A)|~subgroup_member(B))|~product(A,inverse(B),C)))|subgroup_member(C))),
% 0.19/0.37 inference(miniscoping,[status(esa)],[f9])).
% 0.19/0.37 fof(f32,plain,(
% 0.19/0.37 ![X0,X1,X2]: (~subgroup_member(X0)|~subgroup_member(X1)|~product(X0,inverse(X1),X2)|subgroup_member(X2))),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.19/0.37 fof(f33,plain,(
% 0.19/0.37 ![X0]: (~subgroup_member(X0)|product(another_identity,X0,X0))),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f10])).
% 0.19/0.37 fof(f35,plain,(
% 0.19/0.37 ![X0]: (~subgroup_member(X0)|product(X0,another_inverse(X0),another_identity))),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.37 fof(f38,plain,(
% 0.19/0.37 ![B,D]: ((![A,C]: (~product(A,B,C)|~product(A,D,C)))|D=B)),
% 0.19/0.37 inference(miniscoping,[status(esa)],[f15])).
% 0.19/0.37 fof(f39,plain,(
% 0.19/0.37 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|X3=X1)),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f38])).
% 0.19/0.37 fof(f42,plain,(
% 0.19/0.37 subgroup_member(a)),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.37 fof(f43,plain,(
% 0.19/0.37 subgroup_member(another_identity)),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.37 fof(f44,plain,(
% 0.19/0.37 ~inverse(a)=another_inverse(a)),
% 0.19/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.19/0.37 fof(f49,plain,(
% 0.19/0.37 spl0_1 <=> subgroup_member(identity)),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f50,plain,(
% 0.19/0.37 subgroup_member(identity)|~spl0_1),
% 0.19/0.37 inference(component_clause,[status(thm)],[f49])).
% 0.19/0.37 fof(f54,plain,(
% 0.19/0.37 spl0_2 <=> ~subgroup_member(X0)|~subgroup_member(X0)),
% 0.19/0.37 introduced(split_symbol_definition)).
% 0.19/0.37 fof(f55,plain,(
% 0.19/0.37 ![X0]: (~subgroup_member(X0)|~subgroup_member(X0)|~spl0_2)),
% 0.19/0.37 inference(component_clause,[status(thm)],[f54])).
% 0.19/0.37 fof(f57,plain,(
% 0.19/0.37 ![X0]: (~subgroup_member(X0)|~subgroup_member(X0)|subgroup_member(identity))),
% 0.19/0.37 inference(resolution,[status(thm)],[f32,f23])).
% 0.19/0.37 fof(f58,plain,(
% 0.19/0.37 spl0_2|spl0_1),
% 0.19/0.37 inference(split_clause,[status(thm)],[f57,f54,f49])).
% 0.19/0.37 fof(f73,plain,(
% 0.19/0.37 product(a,another_inverse(a),another_identity)),
% 0.19/0.37 inference(resolution,[status(thm)],[f35,f42])).
% 0.19/0.37 fof(f90,plain,(
% 0.19/0.37 ![X0]: (~subgroup_member(X0)|~spl0_2)),
% 0.19/0.38 inference(duplicate_literals_removal,[status(esa)],[f55])).
% 0.19/0.38 fof(f91,plain,(
% 0.19/0.38 $false|~spl0_2),
% 0.19/0.38 inference(backward_subsumption_resolution,[status(thm)],[f43,f90])).
% 0.19/0.38 fof(f92,plain,(
% 0.19/0.38 ~spl0_2),
% 0.19/0.38 inference(contradiction_clause,[status(thm)],[f91])).
% 0.19/0.38 fof(f106,plain,(
% 0.19/0.38 ![X0,X1]: (~product(X0,identity,X1)|X0=X1)),
% 0.19/0.38 inference(resolution,[status(thm)],[f26,f21])).
% 0.19/0.38 fof(f242,plain,(
% 0.19/0.38 product(another_identity,identity,identity)|~spl0_1),
% 0.19/0.38 inference(resolution,[status(thm)],[f33,f50])).
% 0.19/0.38 fof(f249,plain,(
% 0.19/0.38 another_identity=identity|~spl0_1),
% 0.19/0.38 inference(resolution,[status(thm)],[f242,f106])).
% 0.19/0.38 fof(f276,plain,(
% 0.19/0.38 product(a,another_inverse(a),identity)|~spl0_1),
% 0.19/0.38 inference(backward_demodulation,[status(thm)],[f249,f73])).
% 0.19/0.38 fof(f299,plain,(
% 0.19/0.38 ![X0,X1]: (~product(X0,X1,identity)|X1=inverse(X0))),
% 0.19/0.38 inference(resolution,[status(thm)],[f39,f23])).
% 0.19/0.38 fof(f507,plain,(
% 0.19/0.38 another_inverse(a)=inverse(a)|~spl0_1),
% 0.19/0.38 inference(resolution,[status(thm)],[f299,f276])).
% 0.19/0.38 fof(f508,plain,(
% 0.19/0.38 $false|~spl0_1),
% 0.19/0.38 inference(forward_subsumption_resolution,[status(thm)],[f507,f44])).
% 0.19/0.38 fof(f509,plain,(
% 0.19/0.38 ~spl0_1),
% 0.19/0.38 inference(contradiction_clause,[status(thm)],[f508])).
% 0.19/0.38 fof(f510,plain,(
% 0.19/0.38 $false),
% 0.19/0.38 inference(sat_refutation,[status(thm)],[f58,f92,f509])).
% 0.19/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.40 % Elapsed time: 0.046628 seconds
% 0.19/0.40 % CPU time: 0.279576 seconds
% 0.19/0.40 % Total memory used: 21.018 MB
% 0.19/0.40 % Net memory used: 20.440 MB
%------------------------------------------------------------------------------