TSTP Solution File: FLD040-3 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : FLD040-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 20:16:27 EDT 2024
% Result : Unsatisfiable 4.95s 1.00s
% Output : CNFRefutation 4.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : FLD040-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.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 : Mon Apr 29 23:37:44 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 4.95/1.00 % Refutation found
% 4.95/1.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.95/1.00 % SZS output start CNFRefutation for theBenchmark
% 4.95/1.00 fof(f1,axiom,(
% 4.95/1.00 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f2,axiom,(
% 4.95/1.00 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f3,axiom,(
% 4.95/1.00 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f4,axiom,(
% 4.95/1.00 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f5,axiom,(
% 4.95/1.00 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f8,axiom,(
% 4.95/1.00 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f9,axiom,(
% 4.95/1.00 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f11,axiom,(
% 4.95/1.00 (![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) ) ))),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f14,axiom,(
% 4.95/1.00 defined(additive_identity) ),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f15,axiom,(
% 4.95/1.00 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f17,axiom,(
% 4.95/1.00 defined(multiplicative_identity) ),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f19,axiom,(
% 4.95/1.00 (![X,Y]: (( sum(X,Y,add(X,Y))| ~ defined(X)| ~ defined(Y) ) ))),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f27,hypothesis,(
% 4.95/1.00 defined(a) ),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f28,negated_conjecture,(
% 4.95/1.00 ~ sum(additive_identity,a,additive_identity) ),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f29,negated_conjecture,(
% 4.95/1.00 sum(additive_identity,additive_identity,multiplicative_inverse(a)) ),
% 4.95/1.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 4.95/1.00 fof(f30,plain,(
% 4.95/1.00 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 4.95/1.00 inference(miniscoping,[status(esa)],[f1])).
% 4.95/1.00 fof(f31,plain,(
% 4.95/1.00 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f30])).
% 4.95/1.00 fof(f32,plain,(
% 4.95/1.00 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 4.95/1.00 inference(miniscoping,[status(esa)],[f2])).
% 4.95/1.00 fof(f33,plain,(
% 4.95/1.00 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f32])).
% 4.95/1.00 fof(f34,plain,(
% 4.95/1.00 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f3])).
% 4.95/1.00 fof(f35,plain,(
% 4.95/1.00 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f4])).
% 4.95/1.00 fof(f36,plain,(
% 4.95/1.00 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f5])).
% 4.95/1.00 fof(f41,plain,(
% 4.95/1.00 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f8])).
% 4.95/1.00 fof(f42,plain,(
% 4.95/1.00 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f9])).
% 4.95/1.00 fof(f44,plain,(
% 4.95/1.00 ![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))),
% 4.95/1.00 inference(miniscoping,[status(esa)],[f11])).
% 4.95/1.00 fof(f45,plain,(
% 4.95/1.00 ![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))),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f44])).
% 4.95/1.00 fof(f50,plain,(
% 4.95/1.00 defined(additive_identity)),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f14])).
% 4.95/1.00 fof(f51,plain,(
% 4.95/1.00 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f15])).
% 4.95/1.00 fof(f54,plain,(
% 4.95/1.00 defined(multiplicative_identity)),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f17])).
% 4.95/1.00 fof(f56,plain,(
% 4.95/1.00 ![Y]: ((![X]: (sum(X,Y,add(X,Y))|~defined(X)))|~defined(Y))),
% 4.95/1.00 inference(miniscoping,[status(esa)],[f19])).
% 4.95/1.00 fof(f57,plain,(
% 4.95/1.00 ![X0,X1]: (sum(X0,X1,add(X0,X1))|~defined(X0)|~defined(X1))),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f56])).
% 4.95/1.00 fof(f69,plain,(
% 4.95/1.00 defined(a)),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f27])).
% 4.95/1.00 fof(f70,plain,(
% 4.95/1.00 ~sum(additive_identity,a,additive_identity)),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f28])).
% 4.95/1.00 fof(f71,plain,(
% 4.95/1.00 sum(additive_identity,additive_identity,multiplicative_inverse(a))),
% 4.95/1.00 inference(cnf_transformation,[status(esa)],[f29])).
% 4.95/1.00 fof(f72,plain,(
% 4.95/1.00 ![X0]: (sum(X0,multiplicative_inverse(a),multiplicative_inverse(a))|~sum(X0,additive_identity,additive_identity))),
% 4.95/1.00 inference(resolution,[status(thm)],[f31,f71])).
% 4.95/1.00 fof(f79,plain,(
% 4.95/1.00 ![X0]: (sum(X0,additive_identity,X0)|~defined(X0))),
% 4.95/1.00 inference(resolution,[status(thm)],[f36,f34])).
% 4.95/1.00 fof(f87,plain,(
% 4.95/1.00 spl0_1 <=> defined(additive_identity)),
% 4.95/1.00 introduced(split_symbol_definition)).
% 4.95/1.00 fof(f89,plain,(
% 4.95/1.00 ~defined(additive_identity)|spl0_1),
% 4.95/1.00 inference(component_clause,[status(thm)],[f87])).
% 4.95/1.00 fof(f92,plain,(
% 4.95/1.00 $false|spl0_1),
% 4.95/1.00 inference(forward_subsumption_resolution,[status(thm)],[f89,f50])).
% 4.95/1.00 fof(f93,plain,(
% 4.95/1.00 spl0_1),
% 4.95/1.00 inference(contradiction_clause,[status(thm)],[f92])).
% 4.95/1.00 fof(f121,plain,(
% 4.95/1.00 ![X0,X1,X2,X3]: (sum(X0,additive_identity,X1)|~sum(X2,X3,X0)|~sum(X2,X3,X1)|~defined(X3))),
% 4.95/1.00 inference(resolution,[status(thm)],[f33,f79])).
% 4.95/1.00 fof(f124,plain,(
% 4.95/1.00 ![X0,X1,X2,X3]: (sum(X0,X1,X2)|~sum(X2,X3,X0)|~sum(X3,X1,additive_identity)|~defined(X2))),
% 4.95/1.00 inference(resolution,[status(thm)],[f33,f79])).
% 4.95/1.00 fof(f135,plain,(
% 4.95/1.00 spl0_7 <=> sum(X0,additive_identity,X1)|~sum(X1,additive_identity,X0)|~defined(X1)),
% 4.95/1.00 introduced(split_symbol_definition)).
% 4.95/1.00 fof(f136,plain,(
% 4.95/1.00 ![X0,X1]: (sum(X0,additive_identity,X1)|~sum(X1,additive_identity,X0)|~defined(X1)|~spl0_7)),
% 4.95/1.00 inference(component_clause,[status(thm)],[f135])).
% 4.95/1.00 fof(f138,plain,(
% 4.95/1.00 ![X0,X1]: (sum(X0,additive_identity,X1)|~sum(X1,additive_identity,X0)|~defined(additive_identity)|~defined(X1))),
% 4.95/1.00 inference(resolution,[status(thm)],[f121,f79])).
% 4.95/1.00 fof(f139,plain,(
% 4.95/1.00 spl0_7|~spl0_1),
% 4.95/1.00 inference(split_clause,[status(thm)],[f138,f135,f87])).
% 4.95/1.00 fof(f149,plain,(
% 4.95/1.00 spl0_10 <=> defined(a)),
% 4.95/1.00 introduced(split_symbol_definition)).
% 4.95/1.00 fof(f151,plain,(
% 4.95/1.00 ~defined(a)|spl0_10),
% 4.95/1.00 inference(component_clause,[status(thm)],[f149])).
% 4.95/1.00 fof(f188,plain,(
% 4.95/1.00 $false|spl0_10),
% 4.95/1.00 inference(forward_subsumption_resolution,[status(thm)],[f151,f69])).
% 4.95/1.00 fof(f189,plain,(
% 4.95/1.00 spl0_10),
% 4.95/1.00 inference(contradiction_clause,[status(thm)],[f188])).
% 4.95/1.00 fof(f219,plain,(
% 4.95/1.00 ![X0,X1]: (~defined(X0)|~defined(X1)|sum(X1,X0,add(X0,X1)))),
% 4.95/1.00 inference(resolution,[status(thm)],[f57,f36])).
% 4.95/1.00 fof(f439,plain,(
% 4.95/1.00 ![X0,X1,X2]: (~defined(X0)|sum(X1,X0,X2)|~sum(X2,additive_inverse(X0),X1)|~defined(X2))),
% 4.95/1.00 inference(resolution,[status(thm)],[f35,f124])).
% 4.95/1.00 fof(f467,plain,(
% 4.95/1.00 spl0_36 <=> defined(multiplicative_identity)),
% 4.95/1.00 introduced(split_symbol_definition)).
% 4.95/1.00 fof(f469,plain,(
% 4.95/1.00 ~defined(multiplicative_identity)|spl0_36),
% 4.95/1.00 inference(component_clause,[status(thm)],[f467])).
% 4.95/1.00 fof(f523,plain,(
% 4.95/1.00 spl0_40 <=> sum(multiplicative_inverse(a),additive_identity,additive_identity)),
% 4.95/1.00 introduced(split_symbol_definition)).
% 4.95/1.00 fof(f884,plain,(
% 4.95/1.00 sum(multiplicative_inverse(a),additive_identity,additive_identity)|~defined(additive_identity)|~spl0_7),
% 4.95/1.00 inference(resolution,[status(thm)],[f136,f71])).
% 4.95/1.00 fof(f885,plain,(
% 4.95/1.00 spl0_40|~spl0_1|~spl0_7),
% 4.95/1.00 inference(split_clause,[status(thm)],[f884,f523,f87,f135])).
% 4.95/1.00 fof(f1365,plain,(
% 4.95/1.00 ![X0,X1]: (~defined(X0)|sum(add(additive_inverse(X0),X1),X0,X1)|~defined(X1)|~defined(additive_inverse(X0))|~defined(X1))),
% 4.95/1.00 inference(resolution,[status(thm)],[f439,f219])).
% 4.95/1.00 fof(f1366,plain,(
% 4.95/1.00 ![X0,X1]: (~defined(X0)|sum(add(additive_inverse(X0),X1),X0,X1)|~defined(X1)|~defined(additive_inverse(X0)))),
% 4.95/1.00 inference(duplicate_literals_removal,[status(esa)],[f1365])).
% 4.95/1.00 fof(f1367,plain,(
% 4.95/1.00 ![X0,X1]: (~defined(X0)|sum(add(additive_inverse(X0),X1),X0,X1)|~defined(X1))),
% 4.95/1.00 inference(forward_subsumption_resolution,[status(thm)],[f1366,f51])).
% 4.95/1.00 fof(f1432,plain,(
% 4.95/1.00 ![X0,X1]: (~defined(X0)|~defined(X1)|sum(X0,add(additive_inverse(X0),X1),X1))),
% 4.95/1.00 inference(resolution,[status(thm)],[f1367,f36])).
% 4.95/1.00 fof(f1537,plain,(
% 4.95/1.00 ![X0,X1,X2]: (~defined(X0)|~defined(X1)|sum(X2,X1,X1)|~sum(X2,X0,X0))),
% 4.95/1.00 inference(resolution,[status(thm)],[f1432,f31])).
% 4.95/1.00 fof(f2321,plain,(
% 4.95/1.00 spl0_224 <=> sum(X0,X0,X0)|~defined(X0)),
% 4.95/1.00 introduced(split_symbol_definition)).
% 4.95/1.00 fof(f2322,plain,(
% 4.95/1.00 ![X0]: (sum(X0,X0,X0)|~defined(X0)|~spl0_224)),
% 4.95/1.00 inference(component_clause,[status(thm)],[f2321])).
% 4.95/1.00 fof(f2324,plain,(
% 4.95/1.00 spl0_225 <=> sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)),
% 4.95/1.00 introduced(split_symbol_definition)).
% 4.95/1.00 fof(f2327,plain,(
% 4.95/1.00 ![X0]: (sum(X0,X0,X0)|~sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)|~defined(X0))),
% 4.95/1.00 inference(resolution,[status(thm)],[f45,f41])).
% 4.95/1.00 fof(f2328,plain,(
% 4.95/1.00 spl0_224|~spl0_225),
% 4.95/1.00 inference(split_clause,[status(thm)],[f2327,f2321,f2324])).
% 4.95/1.00 fof(f2330,plain,(
% 4.95/1.00 spl0_226 <=> ~sum(multiplicative_inverse(X0),multiplicative_inverse(X0),multiplicative_inverse(X0))|sum(additive_identity,X0,additive_identity)|~defined(X0)),
% 4.95/1.00 introduced(split_symbol_definition)).
% 4.95/1.00 fof(f2331,plain,(
% 4.95/1.00 ![X0]: (~sum(multiplicative_inverse(X0),multiplicative_inverse(X0),multiplicative_inverse(X0))|sum(additive_identity,X0,additive_identity)|~defined(X0)|~spl0_226)),
% 4.95/1.00 inference(component_clause,[status(thm)],[f2330])).
% 4.95/1.00 fof(f2333,plain,(
% 4.95/1.00 ![X0]: (sum(multiplicative_identity,multiplicative_identity,multiplicative_identity)|~sum(multiplicative_inverse(X0),multiplicative_inverse(X0),multiplicative_inverse(X0))|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 4.95/1.00 inference(resolution,[status(thm)],[f45,f42])).
% 4.95/1.00 fof(f2334,plain,(
% 4.95/1.00 spl0_225|spl0_226),
% 4.95/1.00 inference(split_clause,[status(thm)],[f2333,f2324,f2330])).
% 4.95/1.00 fof(f2804,plain,(
% 4.95/1.00 spl0_271 <=> sum(additive_identity,a,additive_identity)),
% 4.95/1.00 introduced(split_symbol_definition)).
% 4.95/1.00 fof(f2805,plain,(
% 4.95/1.00 sum(additive_identity,a,additive_identity)|~spl0_271),
% 4.95/1.00 inference(component_clause,[status(thm)],[f2804])).
% 4.95/1.00 fof(f2807,plain,(
% 4.95/1.00 sum(additive_identity,a,additive_identity)|~defined(a)|~sum(multiplicative_inverse(a),additive_identity,additive_identity)|~spl0_226),
% 4.95/1.00 inference(resolution,[status(thm)],[f2331,f72])).
% 4.95/1.00 fof(f2808,plain,(
% 4.95/1.00 spl0_271|~spl0_10|~spl0_40|~spl0_226),
% 4.95/1.00 inference(split_clause,[status(thm)],[f2807,f2804,f149,f523,f2330])).
% 4.95/1.00 fof(f2819,plain,(
% 4.95/1.00 $false|~spl0_271),
% 4.95/1.00 inference(forward_subsumption_resolution,[status(thm)],[f2805,f70])).
% 4.95/1.00 fof(f2820,plain,(
% 4.95/1.00 ~spl0_271),
% 4.95/1.00 inference(contradiction_clause,[status(thm)],[f2819])).
% 4.95/1.00 fof(f3181,plain,(
% 4.95/1.00 ![X0,X1]: (~defined(X0)|~defined(X1)|sum(X0,X1,X1)|~defined(X0)|~spl0_224)),
% 4.95/1.00 inference(resolution,[status(thm)],[f1537,f2322])).
% 4.95/1.00 fof(f3182,plain,(
% 4.95/1.00 ![X0,X1]: (~defined(X0)|~defined(X1)|sum(X0,X1,X1)|~spl0_224)),
% 4.95/1.00 inference(duplicate_literals_removal,[status(esa)],[f3181])).
% 4.95/1.00 fof(f3371,plain,(
% 4.95/1.00 $false|spl0_36),
% 4.95/1.00 inference(forward_subsumption_resolution,[status(thm)],[f54,f469])).
% 4.95/1.00 fof(f3372,plain,(
% 4.95/1.00 spl0_36),
% 4.95/1.00 inference(contradiction_clause,[status(thm)],[f3371])).
% 4.95/1.00 fof(f3959,plain,(
% 4.95/1.00 ![X0,X1]: (~defined(X0)|~defined(X1)|sum(X1,X0,X1)|~spl0_224)),
% 4.95/1.00 inference(resolution,[status(thm)],[f3182,f36])).
% 4.95/1.00 fof(f3981,plain,(
% 4.95/1.00 ~defined(a)|~defined(additive_identity)|~spl0_224),
% 4.95/1.00 inference(resolution,[status(thm)],[f3959,f70])).
% 4.95/1.00 fof(f3982,plain,(
% 4.95/1.00 ~spl0_10|~spl0_1|~spl0_224),
% 4.95/1.00 inference(split_clause,[status(thm)],[f3981,f149,f87,f2321])).
% 4.95/1.00 fof(f4030,plain,(
% 4.95/1.00 $false),
% 4.95/1.00 inference(sat_refutation,[status(thm)],[f93,f139,f189,f885,f2328,f2334,f2808,f2820,f3372,f3982])).
% 4.95/1.00 % SZS output end CNFRefutation for theBenchmark.p
% 4.95/1.01 % Elapsed time: 0.661937 seconds
% 4.95/1.01 % CPU time: 5.187220 seconds
% 4.95/1.01 % Total memory used: 53.603 MB
% 4.95/1.01 % Net memory used: 49.949 MB
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