TSTP Solution File: FLD018-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD018-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:16:21 EDT 2024
% Result : Unsatisfiable 2.87s 0.79s
% Output : CNFRefutation 2.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD018-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:40:35 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V3.6.0
% 2.87/0.79 % Refutation found
% 2.87/0.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.87/0.79 % SZS output start CNFRefutation for theBenchmark
% 2.87/0.79 fof(f2,axiom,(
% 2.87/0.79 (![X]: (( equalish(add(additive_identity,X),X)| ~ defined(X) ) ))),
% 2.87/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.87/0.79 fof(f3,axiom,(
% 2.87/0.79 (![X]: (( equalish(add(X,additive_inverse(X)),additive_identity)| ~ defined(X) ) ))),
% 2.87/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.87/0.79 fof(f12,axiom,(
% 2.87/0.79 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 2.87/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.87/0.79 fof(f22,axiom,(
% 2.87/0.79 (![X,Y]: (( equalish(X,Y)| ~ equalish(Y,X) ) ))),
% 2.87/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.87/0.79 fof(f23,axiom,(
% 2.87/0.79 (![X,Z,Y]: (( equalish(X,Z)| ~ equalish(X,Y)| ~ equalish(Y,Z) ) ))),
% 2.87/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.87/0.79 fof(f24,axiom,(
% 2.87/0.79 (![X,Z,Y]: (( equalish(add(X,Z),add(Y,Z))| ~ defined(Z)| ~ equalish(X,Y) ) ))),
% 2.87/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.87/0.79 fof(f28,hypothesis,(
% 2.87/0.79 defined(a) ),
% 2.87/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.87/0.79 fof(f29,negated_conjecture,(
% 2.87/0.79 equalish(a,additive_identity) ),
% 2.87/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.87/0.79 fof(f30,negated_conjecture,(
% 2.87/0.79 ~ equalish(additive_inverse(a),additive_identity) ),
% 2.87/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.87/0.79 fof(f33,plain,(
% 2.87/0.79 ![X0]: (equalish(add(additive_identity,X0),X0)|~defined(X0))),
% 2.87/0.79 inference(cnf_transformation,[status(esa)],[f2])).
% 2.87/0.79 fof(f34,plain,(
% 2.87/0.79 ![X0]: (equalish(add(X0,additive_inverse(X0)),additive_identity)|~defined(X0))),
% 2.87/0.79 inference(cnf_transformation,[status(esa)],[f3])).
% 2.87/0.79 fof(f48,plain,(
% 2.87/0.79 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 2.87/0.79 inference(cnf_transformation,[status(esa)],[f12])).
% 2.87/0.79 fof(f63,plain,(
% 2.87/0.79 ![X0,X1]: (equalish(X0,X1)|~equalish(X1,X0))),
% 2.87/0.79 inference(cnf_transformation,[status(esa)],[f22])).
% 2.87/0.79 fof(f64,plain,(
% 2.87/0.79 ![Z,Y]: ((![X]: (equalish(X,Z)|~equalish(X,Y)))|~equalish(Y,Z))),
% 2.87/0.79 inference(miniscoping,[status(esa)],[f23])).
% 2.87/0.79 fof(f65,plain,(
% 2.87/0.79 ![X0,X1,X2]: (equalish(X0,X1)|~equalish(X0,X2)|~equalish(X2,X1))),
% 2.87/0.79 inference(cnf_transformation,[status(esa)],[f64])).
% 2.87/0.79 fof(f66,plain,(
% 2.87/0.79 ![X,Y]: ((![Z]: (equalish(add(X,Z),add(Y,Z))|~defined(Z)))|~equalish(X,Y))),
% 2.87/0.79 inference(miniscoping,[status(esa)],[f24])).
% 2.87/0.79 fof(f67,plain,(
% 2.87/0.79 ![X0,X1,X2]: (equalish(add(X0,X1),add(X2,X1))|~defined(X1)|~equalish(X0,X2))),
% 2.87/0.79 inference(cnf_transformation,[status(esa)],[f66])).
% 2.87/0.79 fof(f73,plain,(
% 2.87/0.79 defined(a)),
% 2.87/0.79 inference(cnf_transformation,[status(esa)],[f28])).
% 2.87/0.79 fof(f74,plain,(
% 2.87/0.79 equalish(a,additive_identity)),
% 2.87/0.79 inference(cnf_transformation,[status(esa)],[f29])).
% 2.87/0.79 fof(f75,plain,(
% 2.87/0.79 ~equalish(additive_inverse(a),additive_identity)),
% 2.87/0.79 inference(cnf_transformation,[status(esa)],[f30])).
% 2.87/0.79 fof(f77,plain,(
% 2.87/0.79 ![X0]: (~equalish(additive_inverse(a),X0)|~equalish(X0,additive_identity))),
% 2.87/0.79 inference(resolution,[status(thm)],[f65,f75])).
% 2.87/0.79 fof(f79,plain,(
% 2.87/0.79 ![X0]: (~equalish(X0,additive_identity)|~equalish(X0,additive_inverse(a)))),
% 2.87/0.79 inference(resolution,[status(thm)],[f77,f63])).
% 2.87/0.79 fof(f83,plain,(
% 2.87/0.79 spl0_1 <=> defined(additive_inverse(a))),
% 2.87/0.79 introduced(split_symbol_definition)).
% 2.87/0.79 fof(f85,plain,(
% 2.87/0.79 ~defined(additive_inverse(a))|spl0_1),
% 2.87/0.79 inference(component_clause,[status(thm)],[f83])).
% 2.87/0.79 fof(f88,plain,(
% 2.87/0.79 spl0_2 <=> equalish(add(additive_identity,additive_inverse(a)),additive_identity)),
% 2.87/0.79 introduced(split_symbol_definition)).
% 2.87/0.79 fof(f90,plain,(
% 2.87/0.79 ~equalish(add(additive_identity,additive_inverse(a)),additive_identity)|spl0_2),
% 2.87/0.79 inference(component_clause,[status(thm)],[f88])).
% 2.87/0.79 fof(f91,plain,(
% 2.87/0.79 ~equalish(add(additive_identity,additive_inverse(a)),additive_identity)|~defined(additive_inverse(a))),
% 2.87/0.79 inference(resolution,[status(thm)],[f79,f33])).
% 2.87/0.79 fof(f92,plain,(
% 2.87/0.79 ~spl0_2|~spl0_1),
% 2.87/0.79 inference(split_clause,[status(thm)],[f91,f88,f83])).
% 2.87/0.79 fof(f215,plain,(
% 2.87/0.79 spl0_19 <=> equalish(a,additive_identity)),
% 2.87/0.79 introduced(split_symbol_definition)).
% 2.87/0.79 fof(f217,plain,(
% 2.87/0.79 ~equalish(a,additive_identity)|spl0_19),
% 2.87/0.79 inference(component_clause,[status(thm)],[f215])).
% 2.87/0.79 fof(f327,plain,(
% 2.87/0.80 spl0_32 <=> defined(a)),
% 2.87/0.80 introduced(split_symbol_definition)).
% 2.87/0.80 fof(f329,plain,(
% 2.87/0.80 ~defined(a)|spl0_32),
% 2.87/0.80 inference(component_clause,[status(thm)],[f327])).
% 2.87/0.80 fof(f400,plain,(
% 2.87/0.80 ![X0]: (~equalish(add(additive_identity,additive_inverse(a)),X0)|~equalish(X0,additive_identity)|spl0_2)),
% 2.87/0.80 inference(resolution,[status(thm)],[f90,f65])).
% 2.87/0.80 fof(f404,plain,(
% 2.87/0.80 ![X0]: (~equalish(X0,additive_identity)|~equalish(X0,add(additive_identity,additive_inverse(a)))|spl0_2)),
% 2.87/0.80 inference(resolution,[status(thm)],[f400,f63])).
% 2.87/0.80 fof(f612,plain,(
% 2.87/0.80 ~defined(a)|spl0_1),
% 2.87/0.80 inference(resolution,[status(thm)],[f48,f85])).
% 2.87/0.80 fof(f613,plain,(
% 2.87/0.80 $false|spl0_1),
% 2.87/0.80 inference(forward_subsumption_resolution,[status(thm)],[f612,f73])).
% 2.87/0.80 fof(f614,plain,(
% 2.87/0.80 spl0_1),
% 2.87/0.80 inference(contradiction_clause,[status(thm)],[f613])).
% 2.87/0.80 fof(f695,plain,(
% 2.87/0.80 $false|spl0_32),
% 2.87/0.80 inference(forward_subsumption_resolution,[status(thm)],[f329,f73])).
% 2.87/0.80 fof(f696,plain,(
% 2.87/0.80 spl0_32),
% 2.87/0.80 inference(contradiction_clause,[status(thm)],[f695])).
% 2.87/0.80 fof(f3006,plain,(
% 2.87/0.80 spl0_216 <=> ~equalish(X0,additive_identity)|~equalish(add(X0,additive_inverse(a)),additive_identity)),
% 2.87/0.80 introduced(split_symbol_definition)).
% 2.87/0.80 fof(f3007,plain,(
% 2.87/0.80 ![X0]: (~equalish(X0,additive_identity)|~equalish(add(X0,additive_inverse(a)),additive_identity)|~spl0_216)),
% 2.87/0.80 inference(component_clause,[status(thm)],[f3006])).
% 2.87/0.80 fof(f3009,plain,(
% 2.87/0.80 ![X0]: (~defined(additive_inverse(a))|~equalish(X0,additive_identity)|~equalish(add(X0,additive_inverse(a)),additive_identity)|spl0_2)),
% 2.87/0.80 inference(resolution,[status(thm)],[f67,f404])).
% 2.87/0.80 fof(f3010,plain,(
% 2.87/0.80 ~spl0_1|spl0_216|spl0_2),
% 2.87/0.80 inference(split_clause,[status(thm)],[f3009,f83,f3006,f88])).
% 2.87/0.80 fof(f3059,plain,(
% 2.87/0.80 ~equalish(a,additive_identity)|~defined(a)|~spl0_216),
% 2.87/0.80 inference(resolution,[status(thm)],[f3007,f34])).
% 2.87/0.80 fof(f3060,plain,(
% 2.87/0.80 ~spl0_19|~spl0_32|~spl0_216),
% 2.87/0.80 inference(split_clause,[status(thm)],[f3059,f215,f327,f3006])).
% 2.87/0.80 fof(f3064,plain,(
% 2.87/0.80 $false|spl0_19),
% 2.87/0.80 inference(forward_subsumption_resolution,[status(thm)],[f217,f74])).
% 2.87/0.80 fof(f3065,plain,(
% 2.87/0.80 spl0_19),
% 2.87/0.80 inference(contradiction_clause,[status(thm)],[f3064])).
% 2.87/0.80 fof(f3066,plain,(
% 2.87/0.80 $false),
% 2.87/0.80 inference(sat_refutation,[status(thm)],[f92,f614,f696,f3010,f3060,f3065])).
% 2.87/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 3.34/0.81 % Elapsed time: 0.444035 seconds
% 3.34/0.81 % CPU time: 3.349841 seconds
% 3.34/0.81 % Total memory used: 37.502 MB
% 3.34/0.81 % Net memory used: 35.311 MB
%------------------------------------------------------------------------------