TSTP Solution File: FLD008-4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD008-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:06:49 EDT 2023
% Result : Unsatisfiable 3.00s 0.73s
% Output : CNFRefutation 3.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : FLD008-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29 % Computer : n026.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue May 30 11:18:13 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.14/0.30 % Drodi V3.5.1
% 3.00/0.73 % Refutation found
% 3.00/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.00/0.73 % SZS output start CNFRefutation for theBenchmark
% 3.00/0.73 fof(f1,axiom,(
% 3.00/0.73 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f2,axiom,(
% 3.00/0.73 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f3,axiom,(
% 3.00/0.73 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f4,axiom,(
% 3.00/0.73 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f5,axiom,(
% 3.00/0.73 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f15,axiom,(
% 3.00/0.73 (![X]: (( defined(additive_inverse(X))| ~ defined(X) ) ))),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f27,hypothesis,(
% 3.00/0.73 defined(a) ),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f28,hypothesis,(
% 3.00/0.73 defined(b) ),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f29,hypothesis,(
% 3.00/0.73 defined(c) ),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f30,hypothesis,(
% 3.00/0.73 defined(d) ),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f31,negated_conjecture,(
% 3.00/0.73 sum(a,b,c) ),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f32,negated_conjecture,(
% 3.00/0.73 sum(additive_inverse(a),additive_inverse(b),d) ),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f33,negated_conjecture,(
% 3.00/0.73 ~ sum(additive_identity,additive_inverse(c),d) ),
% 3.00/0.73 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.00/0.73 fof(f34,plain,(
% 3.00/0.73 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 3.00/0.73 inference(miniscoping,[status(esa)],[f1])).
% 3.00/0.73 fof(f35,plain,(
% 3.00/0.73 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f34])).
% 3.00/0.73 fof(f36,plain,(
% 3.00/0.73 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 3.00/0.73 inference(miniscoping,[status(esa)],[f2])).
% 3.00/0.73 fof(f37,plain,(
% 3.00/0.73 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f36])).
% 3.00/0.73 fof(f38,plain,(
% 3.00/0.73 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f3])).
% 3.00/0.73 fof(f39,plain,(
% 3.00/0.73 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f4])).
% 3.00/0.73 fof(f40,plain,(
% 3.00/0.73 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f5])).
% 3.00/0.73 fof(f55,plain,(
% 3.00/0.73 ![X0]: (defined(additive_inverse(X0))|~defined(X0))),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f15])).
% 3.00/0.73 fof(f73,plain,(
% 3.00/0.73 defined(a)),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f27])).
% 3.00/0.73 fof(f74,plain,(
% 3.00/0.73 defined(b)),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f28])).
% 3.00/0.73 fof(f75,plain,(
% 3.00/0.73 defined(c)),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f29])).
% 3.00/0.73 fof(f76,plain,(
% 3.00/0.73 defined(d)),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f30])).
% 3.00/0.73 fof(f77,plain,(
% 3.00/0.73 sum(a,b,c)),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f31])).
% 3.00/0.73 fof(f78,plain,(
% 3.00/0.73 sum(additive_inverse(a),additive_inverse(b),d)),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f32])).
% 3.00/0.73 fof(f79,plain,(
% 3.00/0.73 ~sum(additive_identity,additive_inverse(c),d)),
% 3.00/0.73 inference(cnf_transformation,[status(esa)],[f33])).
% 3.00/0.73 fof(f83,plain,(
% 3.00/0.73 ![X0,X1,X2]: (sum(X0,c,X1)|~sum(X0,a,X2)|~sum(X2,b,X1))),
% 3.00/0.73 inference(resolution,[status(thm)],[f35,f77])).
% 3.00/0.73 fof(f91,plain,(
% 3.00/0.73 ![X0]: (sum(X0,additive_identity,X0)|~defined(X0))),
% 3.00/0.73 inference(resolution,[status(thm)],[f40,f38])).
% 3.00/0.73 fof(f92,plain,(
% 3.00/0.73 sum(additive_inverse(b),additive_inverse(a),d)),
% 3.00/0.73 inference(resolution,[status(thm)],[f40,f78])).
% 3.00/0.73 fof(f100,plain,(
% 3.00/0.73 ![X0]: (sum(X0,d,d)|~sum(X0,additive_inverse(b),additive_inverse(b)))),
% 3.00/0.73 inference(resolution,[status(thm)],[f92,f35])).
% 3.00/0.73 fof(f109,plain,(
% 3.00/0.73 spl0_0 <=> sum(X0,c,b)|~sum(X0,a,additive_identity)),
% 3.00/0.73 introduced(split_symbol_definition)).
% 3.00/0.73 fof(f110,plain,(
% 3.00/0.73 ![X0]: (sum(X0,c,b)|~sum(X0,a,additive_identity)|~spl0_0)),
% 3.00/0.73 inference(component_clause,[status(thm)],[f109])).
% 3.00/0.73 fof(f112,plain,(
% 3.00/0.73 spl0_1 <=> defined(b)),
% 3.00/0.73 introduced(split_symbol_definition)).
% 3.00/0.73 fof(f114,plain,(
% 3.00/0.73 ~defined(b)|spl0_1),
% 3.00/0.73 inference(component_clause,[status(thm)],[f112])).
% 3.00/0.73 fof(f115,plain,(
% 3.00/0.73 ![X0]: (sum(X0,c,b)|~sum(X0,a,additive_identity)|~defined(b))),
% 3.00/0.73 inference(resolution,[status(thm)],[f83,f38])).
% 3.00/0.73 fof(f116,plain,(
% 3.00/0.73 spl0_0|~spl0_1),
% 3.00/0.73 inference(split_clause,[status(thm)],[f115,f109,f112])).
% 3.00/0.73 fof(f118,plain,(
% 3.00/0.73 $false|spl0_1),
% 3.00/0.73 inference(forward_subsumption_resolution,[status(thm)],[f114,f74])).
% 3.00/0.73 fof(f119,plain,(
% 3.00/0.73 spl0_1),
% 3.00/0.73 inference(contradiction_clause,[status(thm)],[f118])).
% 3.00/0.73 fof(f156,plain,(
% 3.00/0.73 ![X0,X1,X2,X3]: (~defined(X0)|sum(X1,X2,additive_identity)|~sum(additive_inverse(X0),X3,X1)|~sum(X3,X2,X0))),
% 3.00/0.73 inference(resolution,[status(thm)],[f39,f37])).
% 3.00/0.73 fof(f161,plain,(
% 3.00/0.73 ![X0]: (~defined(X0)|sum(X0,additive_inverse(X0),additive_identity))),
% 3.00/0.73 inference(resolution,[status(thm)],[f39,f40])).
% 3.00/0.73 fof(f177,plain,(
% 3.00/0.73 spl0_9 <=> defined(a)),
% 3.00/0.73 introduced(split_symbol_definition)).
% 3.00/0.73 fof(f179,plain,(
% 3.00/0.73 ~defined(a)|spl0_9),
% 3.00/0.73 inference(component_clause,[status(thm)],[f177])).
% 3.00/0.73 fof(f187,plain,(
% 3.00/0.73 $false|spl0_9),
% 3.00/0.73 inference(forward_subsumption_resolution,[status(thm)],[f179,f73])).
% 3.00/0.73 fof(f188,plain,(
% 3.00/0.73 spl0_9),
% 3.00/0.73 inference(contradiction_clause,[status(thm)],[f187])).
% 3.00/0.73 fof(f203,plain,(
% 3.00/0.73 spl0_14 <=> defined(c)),
% 3.00/0.73 introduced(split_symbol_definition)).
% 3.00/0.73 fof(f205,plain,(
% 3.00/0.73 ~defined(c)|spl0_14),
% 3.00/0.73 inference(component_clause,[status(thm)],[f203])).
% 3.00/0.73 fof(f213,plain,(
% 3.00/0.73 $false|spl0_14),
% 3.00/0.73 inference(forward_subsumption_resolution,[status(thm)],[f205,f75])).
% 3.00/0.73 fof(f214,plain,(
% 3.00/0.73 spl0_14),
% 3.00/0.73 inference(contradiction_clause,[status(thm)],[f213])).
% 3.00/0.73 fof(f250,plain,(
% 3.00/0.73 spl0_22 <=> sum(d,X0,additive_identity)|~sum(additive_inverse(a),X0,b)),
% 3.00/0.73 introduced(split_symbol_definition)).
% 3.00/0.73 fof(f251,plain,(
% 3.00/0.73 ![X0]: (sum(d,X0,additive_identity)|~sum(additive_inverse(a),X0,b)|~spl0_22)),
% 3.00/0.73 inference(component_clause,[status(thm)],[f250])).
% 3.00/0.73 fof(f253,plain,(
% 3.00/0.73 ![X0]: (~defined(b)|sum(d,X0,additive_identity)|~sum(additive_inverse(a),X0,b))),
% 3.00/0.73 inference(resolution,[status(thm)],[f156,f92])).
% 3.00/0.73 fof(f254,plain,(
% 3.00/0.73 ~spl0_1|spl0_22),
% 3.00/0.73 inference(split_clause,[status(thm)],[f253,f112,f250])).
% 3.00/0.73 fof(f288,plain,(
% 3.00/0.73 spl0_26 <=> sum(additive_inverse(a),c,b)),
% 3.00/0.73 introduced(split_symbol_definition)).
% 3.00/0.73 fof(f289,plain,(
% 3.00/0.73 sum(additive_inverse(a),c,b)|~spl0_26),
% 3.00/0.73 inference(component_clause,[status(thm)],[f288])).
% 3.00/0.73 fof(f291,plain,(
% 3.00/0.73 sum(additive_inverse(a),c,b)|~defined(a)|~spl0_0),
% 3.00/0.73 inference(resolution,[status(thm)],[f110,f39])).
% 3.00/0.73 fof(f292,plain,(
% 3.00/0.73 spl0_26|~spl0_9|~spl0_0),
% 3.00/0.73 inference(split_clause,[status(thm)],[f291,f288,f177,f109])).
% 3.00/0.73 fof(f545,plain,(
% 3.00/0.73 spl0_66 <=> defined(additive_inverse(b))),
% 3.00/0.73 introduced(split_symbol_definition)).
% 3.00/0.73 fof(f547,plain,(
% 3.00/0.73 ~defined(additive_inverse(b))|spl0_66),
% 3.00/0.73 inference(component_clause,[status(thm)],[f545])).
% 3.00/0.73 fof(f931,plain,(
% 3.00/0.73 spl0_127 <=> sum(additive_identity,d,d)),
% 3.00/0.73 introduced(split_symbol_definition)).
% 3.00/0.73 fof(f932,plain,(
% 3.00/0.73 sum(additive_identity,d,d)|~spl0_127),
% 3.00/0.73 inference(component_clause,[status(thm)],[f931])).
% 3.00/0.73 fof(f1418,plain,(
% 3.00/0.73 ![X0,X1,X2,X3]: (~defined(X0)|sum(X1,additive_inverse(X0),X2)|~sum(X3,X0,X1)|~sum(X3,additive_identity,X2))),
% 3.00/0.73 inference(resolution,[status(thm)],[f161,f37])).
% 3.00/0.73 fof(f1422,plain,(
% 3.00/0.73 ![X0,X1,X2,X3]: (~defined(X0)|sum(X1,X2,additive_identity)|~sum(X1,X3,X0)|~sum(X3,additive_inverse(X0),X2))),
% 3.00/0.73 inference(resolution,[status(thm)],[f161,f35])).
% 3.00/0.73 fof(f1445,plain,(
% 3.00/0.73 spl0_205 <=> ~sum(X0,c,additive_identity)|~sum(X0,additive_identity,d)),
% 3.00/0.73 introduced(split_symbol_definition)).
% 3.00/0.73 fof(f1446,plain,(
% 3.00/0.73 ![X0]: (~sum(X0,c,additive_identity)|~sum(X0,additive_identity,d)|~spl0_205)),
% 3.00/0.73 inference(component_clause,[status(thm)],[f1445])).
% 3.00/0.73 fof(f1448,plain,(
% 3.00/0.73 ![X0]: (~defined(c)|~sum(X0,c,additive_identity)|~sum(X0,additive_identity,d))),
% 3.00/0.73 inference(resolution,[status(thm)],[f1418,f79])).
% 3.00/0.73 fof(f1449,plain,(
% 3.00/0.75 ~spl0_14|spl0_205),
% 3.00/0.75 inference(split_clause,[status(thm)],[f1448,f203,f1445])).
% 3.00/0.75 fof(f1571,plain,(
% 3.00/0.75 ![X0,X1,X2,X3,X4]: (~defined(X0)|sum(X1,X2,additive_identity)|~sum(X1,X3,X0)|~defined(X0)|~sum(X4,X0,X3)|~sum(X4,additive_identity,X2))),
% 3.00/0.75 inference(resolution,[status(thm)],[f1422,f1418])).
% 3.00/0.75 fof(f1572,plain,(
% 3.00/0.75 ![X0,X1,X2,X3,X4]: (~defined(X0)|sum(X1,X2,additive_identity)|~sum(X1,X3,X0)|~sum(X4,X0,X3)|~sum(X4,additive_identity,X2))),
% 3.00/0.75 inference(duplicate_literals_removal,[status(esa)],[f1571])).
% 3.00/0.75 fof(f1827,plain,(
% 3.00/0.75 ~defined(b)|spl0_66),
% 3.00/0.75 inference(resolution,[status(thm)],[f547,f55])).
% 3.00/0.75 fof(f1828,plain,(
% 3.00/0.75 ~spl0_1|spl0_66),
% 3.00/0.75 inference(split_clause,[status(thm)],[f1827,f112,f545])).
% 3.00/0.75 fof(f1829,plain,(
% 3.00/0.75 spl0_243 <=> defined(d)),
% 3.00/0.75 introduced(split_symbol_definition)).
% 3.00/0.75 fof(f1831,plain,(
% 3.00/0.75 ~defined(d)|spl0_243),
% 3.00/0.75 inference(component_clause,[status(thm)],[f1829])).
% 3.00/0.75 fof(f1862,plain,(
% 3.00/0.75 sum(d,additive_identity,d)|~spl0_127),
% 3.00/0.75 inference(resolution,[status(thm)],[f932,f40])).
% 3.00/0.75 fof(f1867,plain,(
% 3.00/0.75 $false|spl0_243),
% 3.00/0.75 inference(forward_subsumption_resolution,[status(thm)],[f1831,f76])).
% 3.00/0.75 fof(f1868,plain,(
% 3.00/0.75 spl0_243),
% 3.00/0.75 inference(contradiction_clause,[status(thm)],[f1867])).
% 3.00/0.75 fof(f1930,plain,(
% 3.00/0.75 sum(d,c,additive_identity)|~spl0_22|~spl0_26),
% 3.00/0.75 inference(resolution,[status(thm)],[f251,f289])).
% 3.00/0.75 fof(f1973,plain,(
% 3.00/0.75 sum(c,d,additive_identity)|~spl0_22|~spl0_26),
% 3.00/0.75 inference(resolution,[status(thm)],[f1930,f40])).
% 3.00/0.75 fof(f2765,plain,(
% 3.00/0.75 sum(additive_identity,d,d)|~defined(additive_inverse(b))),
% 3.00/0.75 inference(resolution,[status(thm)],[f100,f38])).
% 3.00/0.75 fof(f2766,plain,(
% 3.00/0.75 spl0_127|~spl0_66),
% 3.00/0.75 inference(split_clause,[status(thm)],[f2765,f931,f545])).
% 3.00/0.75 fof(f3342,plain,(
% 3.00/0.75 ![X0,X1,X2,X3]: (~defined(X0)|sum(X1,X2,additive_identity)|~sum(X1,X3,X0)|~sum(X2,X0,X3)|~defined(X2))),
% 3.00/0.75 inference(resolution,[status(thm)],[f1572,f91])).
% 3.00/0.75 fof(f3362,plain,(
% 3.00/0.75 spl0_447 <=> sum(X0,c,additive_identity)|~sum(X0,additive_identity,d)),
% 3.00/0.75 introduced(split_symbol_definition)).
% 3.00/0.75 fof(f3363,plain,(
% 3.00/0.75 ![X0]: (sum(X0,c,additive_identity)|~sum(X0,additive_identity,d)|~spl0_447)),
% 3.00/0.75 inference(component_clause,[status(thm)],[f3362])).
% 3.00/0.75 fof(f3365,plain,(
% 3.00/0.75 ![X0]: (~defined(d)|sum(X0,c,additive_identity)|~sum(X0,additive_identity,d)|~defined(c)|~spl0_22|~spl0_26)),
% 3.00/0.75 inference(resolution,[status(thm)],[f3342,f1973])).
% 3.00/0.75 fof(f3366,plain,(
% 3.00/0.75 ~spl0_243|spl0_447|~spl0_14|~spl0_22|~spl0_26),
% 3.00/0.75 inference(split_clause,[status(thm)],[f3365,f1829,f3362,f203,f250,f288])).
% 3.00/0.75 fof(f3460,plain,(
% 3.00/0.75 ![X0]: (~sum(X0,additive_identity,d)|~spl0_205|~spl0_447)),
% 3.00/0.75 inference(forward_subsumption_resolution,[status(thm)],[f3363,f1446])).
% 3.00/0.75 fof(f3463,plain,(
% 3.00/0.75 $false|~spl0_205|~spl0_447|~spl0_127),
% 3.00/0.75 inference(backward_subsumption_resolution,[status(thm)],[f1862,f3460])).
% 3.00/0.75 fof(f3464,plain,(
% 3.00/0.75 ~spl0_205|~spl0_447|~spl0_127),
% 3.00/0.75 inference(contradiction_clause,[status(thm)],[f3463])).
% 3.00/0.75 fof(f3465,plain,(
% 3.00/0.75 $false),
% 3.00/0.75 inference(sat_refutation,[status(thm)],[f116,f119,f188,f214,f254,f292,f1449,f1828,f1868,f2766,f3366,f3464])).
% 3.00/0.75 % SZS output end CNFRefutation for theBenchmark.p
% 3.00/0.75 % Elapsed time: 0.453573 seconds
% 3.00/0.75 % CPU time: 3.212765 seconds
% 3.00/0.75 % Memory used: 25.179 MB
%------------------------------------------------------------------------------