TSTP Solution File: FLD041-4 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD041-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 31.57s 4.34s
% Output : CNFRefutation 31.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD041-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:00:28 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 31.57/4.34 % Refutation found
% 31.57/4.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 31.57/4.34 % SZS output start CNFRefutation for theBenchmark
% 31.57/4.34 fof(f1,axiom,(
% 31.57/4.34 (![X,V,W,Y,U,Z]: (( sum(X,V,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(U,Z,W) ) ))),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f2,axiom,(
% 31.57/4.34 (![U,Z,W,X,Y,V]: (( sum(U,Z,W)| ~ sum(X,Y,U)| ~ sum(Y,Z,V)| ~ sum(X,V,W) ) ))),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f3,axiom,(
% 31.57/4.34 (![X]: (( sum(additive_identity,X,X)| ~ defined(X) ) ))),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f4,axiom,(
% 31.57/4.34 (![X]: (( sum(additive_inverse(X),X,additive_identity)| ~ defined(X) ) ))),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f5,axiom,(
% 31.57/4.34 (![Y,X,Z]: (( sum(Y,X,Z)| ~ sum(X,Y,Z) ) ))),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f6,axiom,(
% 31.57/4.34 (![X,V,W,Y,U,Z]: (( product(X,V,W)| ~ product(X,Y,U)| ~ product(Y,Z,V)| ~ product(U,Z,W) ) ))),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f8,axiom,(
% 31.57/4.34 (![X]: (( product(multiplicative_identity,X,X)| ~ defined(X) ) ))),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f9,axiom,(
% 31.57/4.34 (![X]: (( product(multiplicative_inverse(X),X,multiplicative_identity)| sum(additive_identity,X,additive_identity)| ~ defined(X) ) ))),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f10,axiom,(
% 31.57/4.34 (![Y,X,Z]: (( product(Y,X,Z)| ~ product(X,Y,Z) ) ))),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f11,axiom,(
% 31.57/4.34 (![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) ) ))),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f27,hypothesis,(
% 31.57/4.34 defined(a) ),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f28,hypothesis,(
% 31.57/4.34 defined(b) ),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f29,hypothesis,(
% 31.57/4.34 defined(c) ),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f30,negated_conjecture,(
% 31.57/4.34 ~ sum(additive_identity,a,additive_identity) ),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f31,negated_conjecture,(
% 31.57/4.34 ~ sum(additive_identity,b,additive_identity) ),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f32,negated_conjecture,(
% 31.57/4.34 product(a,b,c) ),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f33,negated_conjecture,(
% 31.57/4.34 sum(additive_identity,c,additive_identity) ),
% 31.57/4.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 31.57/4.34 fof(f34,plain,(
% 31.57/4.34 ![W,U,Z]: ((![V,Y]: ((![X]: (sum(X,V,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(U,Z,W))),
% 31.57/4.34 inference(miniscoping,[status(esa)],[f1])).
% 31.57/4.34 fof(f35,plain,(
% 31.57/4.34 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X0,X3,X4)|~sum(X3,X5,X1)|~sum(X4,X5,X2))),
% 31.57/4.34 inference(cnf_transformation,[status(esa)],[f34])).
% 31.57/4.34 fof(f36,plain,(
% 31.57/4.34 ![W,X,V]: ((![Z,Y]: ((![U]: (sum(U,Z,W)|~sum(X,Y,U)))|~sum(Y,Z,V)))|~sum(X,V,W))),
% 31.57/4.34 inference(miniscoping,[status(esa)],[f2])).
% 31.57/4.34 fof(f37,plain,(
% 31.57/4.34 ![X0,X1,X2,X3,X4,X5]: (sum(X0,X1,X2)|~sum(X3,X4,X0)|~sum(X4,X1,X5)|~sum(X3,X5,X2))),
% 31.57/4.34 inference(cnf_transformation,[status(esa)],[f36])).
% 31.57/4.34 fof(f38,plain,(
% 31.57/4.34 ![X0]: (sum(additive_identity,X0,X0)|~defined(X0))),
% 31.57/4.34 inference(cnf_transformation,[status(esa)],[f3])).
% 31.57/4.34 fof(f39,plain,(
% 31.57/4.34 ![X0]: (sum(additive_inverse(X0),X0,additive_identity)|~defined(X0))),
% 31.57/4.34 inference(cnf_transformation,[status(esa)],[f4])).
% 31.57/4.34 fof(f40,plain,(
% 31.57/4.34 ![X0,X1,X2]: (sum(X0,X1,X2)|~sum(X1,X0,X2))),
% 31.57/4.34 inference(cnf_transformation,[status(esa)],[f5])).
% 31.57/4.34 fof(f41,plain,(
% 31.57/4.34 ![W,U,Z]: ((![V,Y]: ((![X]: (product(X,V,W)|~product(X,Y,U)))|~product(Y,Z,V)))|~product(U,Z,W))),
% 31.57/4.34 inference(miniscoping,[status(esa)],[f6])).
% 31.57/4.34 fof(f42,plain,(
% 31.57/4.34 ![X0,X1,X2,X3,X4,X5]: (product(X0,X1,X2)|~product(X0,X3,X4)|~product(X3,X5,X1)|~product(X4,X5,X2))),
% 31.57/4.34 inference(cnf_transformation,[status(esa)],[f41])).
% 31.57/4.34 fof(f45,plain,(
% 31.57/4.34 ![X0]: (product(multiplicative_identity,X0,X0)|~defined(X0))),
% 31.57/4.34 inference(cnf_transformation,[status(esa)],[f8])).
% 31.57/4.34 fof(f46,plain,(
% 31.57/4.34 ![X0]: (product(multiplicative_inverse(X0),X0,multiplicative_identity)|sum(additive_identity,X0,additive_identity)|~defined(X0))),
% 31.57/4.36 inference(cnf_transformation,[status(esa)],[f9])).
% 31.57/4.36 fof(f47,plain,(
% 31.57/4.36 ![X0,X1,X2]: (product(X0,X1,X2)|~product(X1,X0,X2))),
% 31.57/4.36 inference(cnf_transformation,[status(esa)],[f10])).
% 31.57/4.36 fof(f48,plain,(
% 31.57/4.36 ![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))),
% 31.57/4.36 inference(miniscoping,[status(esa)],[f11])).
% 31.57/4.36 fof(f49,plain,(
% 31.57/4.36 ![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))),
% 31.57/4.36 inference(cnf_transformation,[status(esa)],[f48])).
% 31.57/4.36 fof(f73,plain,(
% 31.57/4.36 defined(a)),
% 31.57/4.36 inference(cnf_transformation,[status(esa)],[f27])).
% 31.57/4.36 fof(f74,plain,(
% 31.57/4.36 defined(b)),
% 31.57/4.36 inference(cnf_transformation,[status(esa)],[f28])).
% 31.57/4.36 fof(f75,plain,(
% 31.57/4.36 defined(c)),
% 31.57/4.36 inference(cnf_transformation,[status(esa)],[f29])).
% 31.57/4.36 fof(f76,plain,(
% 31.57/4.36 ~sum(additive_identity,a,additive_identity)),
% 31.57/4.36 inference(cnf_transformation,[status(esa)],[f30])).
% 31.57/4.36 fof(f77,plain,(
% 31.57/4.36 ~sum(additive_identity,b,additive_identity)),
% 31.57/4.36 inference(cnf_transformation,[status(esa)],[f31])).
% 31.57/4.36 fof(f78,plain,(
% 31.57/4.36 product(a,b,c)),
% 31.57/4.36 inference(cnf_transformation,[status(esa)],[f32])).
% 31.57/4.36 fof(f79,plain,(
% 31.57/4.36 sum(additive_identity,c,additive_identity)),
% 31.57/4.36 inference(cnf_transformation,[status(esa)],[f33])).
% 31.57/4.36 fof(f80,plain,(
% 31.57/4.36 sum(c,additive_identity,additive_identity)),
% 31.57/4.36 inference(resolution,[status(thm)],[f40,f79])).
% 31.57/4.36 fof(f89,plain,(
% 31.57/4.36 ![X0,X1,X2,X3]: (sum(X0,X1,X1)|~sum(X0,X2,X2)|~sum(X2,X3,X1))),
% 31.57/4.36 inference(factoring,[status(esa)],[f35])).
% 31.57/4.36 fof(f100,plain,(
% 31.57/4.36 ![X0,X1,X2]: (product(X0,c,X1)|~product(X0,a,X2)|~product(X2,b,X1))),
% 31.57/4.36 inference(resolution,[status(thm)],[f42,f78])).
% 31.57/4.36 fof(f123,plain,(
% 31.57/4.36 ![X0,X1]: (~defined(X0)|sum(X1,X0,X0)|~sum(X1,additive_identity,additive_identity))),
% 31.57/4.36 inference(resolution,[status(thm)],[f38,f89])).
% 31.57/4.36 fof(f129,plain,(
% 31.57/4.36 spl0_2 <=> sum(c,c,c)),
% 31.57/4.36 introduced(split_symbol_definition)).
% 31.57/4.36 fof(f131,plain,(
% 31.57/4.36 ~sum(c,c,c)|spl0_2),
% 31.57/4.36 inference(component_clause,[status(thm)],[f129])).
% 31.57/4.36 fof(f132,plain,(
% 31.57/4.36 spl0_3 <=> sum(b,b,b)),
% 31.57/4.36 introduced(split_symbol_definition)).
% 31.57/4.36 fof(f133,plain,(
% 31.57/4.36 sum(b,b,b)|~spl0_3),
% 31.57/4.36 inference(component_clause,[status(thm)],[f132])).
% 31.57/4.36 fof(f150,plain,(
% 31.57/4.36 ![X0,X1,X2]: (sum(X0,X0,X0)|~sum(X1,X1,X1)|~product(X1,X2,X0))),
% 31.57/4.36 inference(factoring,[status(esa)],[f49])).
% 31.57/4.36 fof(f259,plain,(
% 31.57/4.36 ![X0,X1,X2,X3]: (~defined(X0)|sum(X1,X2,additive_identity)|~sum(additive_inverse(X0),X3,X1)|~sum(X3,X2,X0))),
% 31.57/4.36 inference(resolution,[status(thm)],[f39,f37])).
% 31.57/4.36 fof(f331,plain,(
% 31.57/4.36 spl0_17 <=> defined(c)),
% 31.57/4.36 introduced(split_symbol_definition)).
% 31.57/4.36 fof(f333,plain,(
% 31.57/4.36 ~defined(c)|spl0_17),
% 31.57/4.36 inference(component_clause,[status(thm)],[f331])).
% 31.57/4.36 fof(f343,plain,(
% 31.57/4.36 $false|spl0_17),
% 31.57/4.36 inference(forward_subsumption_resolution,[status(thm)],[f333,f75])).
% 31.57/4.36 fof(f344,plain,(
% 31.57/4.36 spl0_17),
% 31.57/4.36 inference(contradiction_clause,[status(thm)],[f343])).
% 31.57/4.36 fof(f393,plain,(
% 31.57/4.36 spl0_19 <=> defined(b)),
% 31.57/4.36 introduced(split_symbol_definition)).
% 31.57/4.36 fof(f395,plain,(
% 31.57/4.36 ~defined(b)|spl0_19),
% 31.57/4.36 inference(component_clause,[status(thm)],[f393])).
% 31.57/4.36 fof(f499,plain,(
% 31.57/4.36 spl0_22 <=> defined(a)),
% 31.57/4.36 introduced(split_symbol_definition)).
% 31.57/4.36 fof(f501,plain,(
% 31.57/4.36 ~defined(a)|spl0_22),
% 31.57/4.36 inference(component_clause,[status(thm)],[f499])).
% 31.57/4.36 fof(f591,plain,(
% 31.57/4.36 $false|spl0_19),
% 31.57/4.36 inference(forward_subsumption_resolution,[status(thm)],[f395,f74])).
% 31.57/4.36 fof(f592,plain,(
% 31.57/4.36 spl0_19),
% 31.57/4.36 inference(contradiction_clause,[status(thm)],[f591])).
% 31.57/4.36 fof(f619,plain,(
% 31.57/4.36 ![X0]: (~defined(X0)|sum(c,X0,X0))),
% 31.57/4.36 inference(resolution,[status(thm)],[f123,f80])).
% 31.57/4.36 fof(f625,plain,(
% 31.57/4.36 ~defined(c)|spl0_2),
% 31.57/4.36 inference(resolution,[status(thm)],[f619,f131])).
% 31.57/4.36 fof(f626,plain,(
% 31.57/4.36 ~spl0_17|spl0_2),
% 31.57/4.36 inference(split_clause,[status(thm)],[f625,f331,f129])).
% 31.57/4.36 fof(f1046,plain,(
% 31.57/4.36 $false|spl0_22),
% 31.57/4.36 inference(forward_subsumption_resolution,[status(thm)],[f501,f73])).
% 31.57/4.36 fof(f1047,plain,(
% 31.57/4.36 spl0_22),
% 31.57/4.36 inference(contradiction_clause,[status(thm)],[f1046])).
% 31.57/4.36 fof(f1466,plain,(
% 31.57/4.36 spl0_122 <=> sum(additive_identity,b,additive_identity)),
% 31.57/4.36 introduced(split_symbol_definition)).
% 31.57/4.36 fof(f1467,plain,(
% 31.57/4.36 sum(additive_identity,b,additive_identity)|~spl0_122),
% 31.84/4.36 inference(component_clause,[status(thm)],[f1466])).
% 31.84/4.36 fof(f1471,plain,(
% 31.84/4.36 spl0_123 <=> product(X0,c,b)|~product(X0,a,multiplicative_identity)),
% 31.84/4.36 introduced(split_symbol_definition)).
% 31.84/4.36 fof(f1472,plain,(
% 31.84/4.36 ![X0]: (product(X0,c,b)|~product(X0,a,multiplicative_identity)|~spl0_123)),
% 31.84/4.36 inference(component_clause,[status(thm)],[f1471])).
% 31.84/4.36 fof(f1474,plain,(
% 31.84/4.36 ![X0]: (product(X0,c,b)|~product(X0,a,multiplicative_identity)|~defined(b))),
% 31.84/4.36 inference(resolution,[status(thm)],[f100,f45])).
% 31.84/4.36 fof(f1475,plain,(
% 31.84/4.36 spl0_123|~spl0_19),
% 31.84/4.36 inference(split_clause,[status(thm)],[f1474,f1471,f393])).
% 31.84/4.36 fof(f1748,plain,(
% 31.84/4.36 $false|~spl0_122),
% 31.84/4.36 inference(forward_subsumption_resolution,[status(thm)],[f1467,f77])).
% 31.84/4.36 fof(f1749,plain,(
% 31.84/4.36 ~spl0_122),
% 31.84/4.36 inference(contradiction_clause,[status(thm)],[f1748])).
% 31.84/4.36 fof(f4022,plain,(
% 31.84/4.36 spl0_362 <=> sum(additive_identity,a,additive_identity)),
% 31.84/4.36 introduced(split_symbol_definition)).
% 31.84/4.36 fof(f4023,plain,(
% 31.84/4.36 sum(additive_identity,a,additive_identity)|~spl0_362),
% 31.84/4.36 inference(component_clause,[status(thm)],[f4022])).
% 31.84/4.36 fof(f4124,plain,(
% 31.84/4.36 $false|~spl0_362),
% 31.84/4.36 inference(forward_subsumption_resolution,[status(thm)],[f4023,f76])).
% 31.84/4.36 fof(f4125,plain,(
% 31.84/4.36 ~spl0_362),
% 31.84/4.36 inference(contradiction_clause,[status(thm)],[f4124])).
% 31.84/4.36 fof(f12538,plain,(
% 31.84/4.36 ![X0,X1]: (~defined(X0)|sum(additive_identity,X1,additive_identity)|~sum(X0,X1,X0)|~defined(X0))),
% 31.84/4.36 inference(resolution,[status(thm)],[f259,f39])).
% 31.84/4.36 fof(f12539,plain,(
% 31.84/4.36 ![X0,X1]: (~defined(X0)|sum(additive_identity,X1,additive_identity)|~sum(X0,X1,X0))),
% 31.84/4.36 inference(duplicate_literals_removal,[status(esa)],[f12538])).
% 31.84/4.36 fof(f12815,plain,(
% 31.84/4.36 spl0_1280 <=> product(multiplicative_inverse(a),c,b)),
% 31.84/4.36 introduced(split_symbol_definition)).
% 31.84/4.36 fof(f12816,plain,(
% 31.84/4.36 product(multiplicative_inverse(a),c,b)|~spl0_1280),
% 31.84/4.36 inference(component_clause,[status(thm)],[f12815])).
% 31.84/4.36 fof(f12818,plain,(
% 31.84/4.36 product(multiplicative_inverse(a),c,b)|sum(additive_identity,a,additive_identity)|~defined(a)|~spl0_123),
% 31.84/4.36 inference(resolution,[status(thm)],[f1472,f46])).
% 31.84/4.36 fof(f12819,plain,(
% 31.84/4.36 spl0_1280|spl0_362|~spl0_22|~spl0_123),
% 31.84/4.36 inference(split_clause,[status(thm)],[f12818,f12815,f4022,f499,f1471])).
% 31.84/4.36 fof(f16038,plain,(
% 31.84/4.36 product(c,multiplicative_inverse(a),b)|~spl0_1280),
% 31.84/4.36 inference(resolution,[status(thm)],[f12816,f47])).
% 31.84/4.36 fof(f17033,plain,(
% 31.84/4.36 sum(b,b,b)|~sum(c,c,c)|~spl0_1280),
% 31.84/4.36 inference(resolution,[status(thm)],[f16038,f150])).
% 31.84/4.36 fof(f17034,plain,(
% 31.84/4.36 spl0_3|~spl0_2|~spl0_1280),
% 31.84/4.36 inference(split_clause,[status(thm)],[f17033,f132,f129,f12815])).
% 31.84/4.36 fof(f18140,plain,(
% 31.84/4.36 ~defined(b)|sum(additive_identity,b,additive_identity)|~spl0_3),
% 31.84/4.36 inference(resolution,[status(thm)],[f12539,f133])).
% 31.84/4.36 fof(f18141,plain,(
% 31.84/4.36 ~spl0_19|spl0_122|~spl0_3),
% 31.84/4.36 inference(split_clause,[status(thm)],[f18140,f393,f1466,f132])).
% 31.84/4.36 fof(f18208,plain,(
% 31.84/4.36 $false),
% 31.84/4.36 inference(sat_refutation,[status(thm)],[f344,f592,f626,f1047,f1475,f1749,f4125,f12819,f17034,f18141])).
% 31.84/4.36 % SZS output end CNFRefutation for theBenchmark.p
% 31.84/4.39 % Elapsed time: 4.028237 seconds
% 31.84/4.39 % CPU time: 31.865763 seconds
% 31.84/4.39 % Memory used: 148.941 MB
%------------------------------------------------------------------------------