TSTP Solution File: GRP132-1.002 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP132-1.002 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 12:10:40 EDT 2023
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP132-1.002 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:27:48 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.36 fof(f1,axiom,(
% 0.12/0.36 group_element(e_1) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f2,axiom,(
% 0.12/0.36 group_element(e_2) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f3,axiom,(
% 0.12/0.36 ~ equalish(e_1,e_2) ),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f5,axiom,(
% 0.12/0.36 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f7,axiom,(
% 0.12/0.36 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f8,axiom,(
% 0.12/0.36 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f9,negated_conjecture,(
% 0.12/0.36 (![X1,Y1,Z1,X2,Y2,Z2]: (( ~ product(X1,Y1,Z1)| ~ product(X2,Y2,Z1)| ~ product(Z2,X1,Y1)| ~ product(Z2,X2,Y2)| equalish(X1,X2) ) ))),
% 0.12/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.36 fof(f11,plain,(
% 0.12/0.36 group_element(e_1)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f1])).
% 0.12/0.36 fof(f12,plain,(
% 0.12/0.36 group_element(e_2)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f2])).
% 0.12/0.36 fof(f13,plain,(
% 0.12/0.36 ~equalish(e_1,e_2)),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f3])).
% 0.12/0.36 fof(f15,plain,(
% 0.12/0.36 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.12/0.36 fof(f18,plain,(
% 0.12/0.36 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f7])).
% 0.12/0.36 fof(f19,plain,(
% 0.12/0.36 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.12/0.36 fof(f20,plain,(
% 0.12/0.36 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f8])).
% 0.12/0.36 fof(f21,plain,(
% 0.12/0.36 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f20])).
% 0.12/0.36 fof(f22,plain,(
% 0.12/0.36 ![X1,X2]: ((![Y2,Z2]: ((![Y1]: ((![Z1]: (~product(X1,Y1,Z1)|~product(X2,Y2,Z1)))|~product(Z2,X1,Y1)))|~product(Z2,X2,Y2)))|equalish(X1,X2))),
% 0.12/0.36 inference(miniscoping,[status(esa)],[f9])).
% 0.12/0.36 fof(f23,plain,(
% 0.12/0.36 ![X0,X1,X2,X3,X4,X5]: (~product(X0,X1,X2)|~product(X3,X4,X2)|~product(X5,X0,X1)|~product(X5,X3,X4)|equalish(X0,X3))),
% 0.12/0.36 inference(cnf_transformation,[status(esa)],[f22])).
% 0.12/0.36 fof(f26,plain,(
% 0.12/0.36 ![X0,X1]: (~product(e_1,X0,X1)|~product(e_2,X0,X1))),
% 0.12/0.36 inference(resolution,[status(thm)],[f13,f21])).
% 0.12/0.36 fof(f27,plain,(
% 0.12/0.36 ![X0,X1]: (~product(X0,e_1,X1)|~product(X0,e_2,X1))),
% 0.12/0.36 inference(resolution,[status(thm)],[f13,f19])).
% 0.12/0.36 fof(f30,plain,(
% 0.12/0.36 ![X0,X1,X2,X3]: (~product(e_1,X0,X1)|~product(e_2,X2,X1)|~product(X3,e_1,X0)|~product(X3,e_2,X2))),
% 0.12/0.36 inference(resolution,[status(thm)],[f13,f23])).
% 0.12/0.36 fof(f36,plain,(
% 0.12/0.36 ![X0]: (~group_element(X0)|product(X0,e_2,e_1)|product(X0,e_2,e_2))),
% 0.12/0.36 inference(resolution,[status(thm)],[f15,f12])).
% 0.12/0.36 fof(f37,plain,(
% 0.12/0.36 ![X0]: (~group_element(X0)|product(X0,e_1,e_1)|product(X0,e_1,e_2))),
% 0.12/0.36 inference(resolution,[status(thm)],[f15,f11])).
% 0.12/0.36 fof(f38,plain,(
% 0.12/0.36 spl0_0 <=> product(e_2,e_2,e_1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f39,plain,(
% 0.12/0.36 product(e_2,e_2,e_1)|~spl0_0),
% 0.12/0.36 inference(component_clause,[status(thm)],[f38])).
% 0.12/0.36 fof(f41,plain,(
% 0.12/0.36 spl0_1 <=> product(e_2,e_2,e_2)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f42,plain,(
% 0.12/0.36 product(e_2,e_2,e_2)|~spl0_1),
% 0.12/0.36 inference(component_clause,[status(thm)],[f41])).
% 0.12/0.36 fof(f44,plain,(
% 0.12/0.36 product(e_2,e_2,e_1)|product(e_2,e_2,e_2)),
% 0.12/0.36 inference(resolution,[status(thm)],[f36,f12])).
% 0.12/0.36 fof(f45,plain,(
% 0.12/0.36 spl0_0|spl0_1),
% 0.12/0.36 inference(split_clause,[status(thm)],[f44,f38,f41])).
% 0.12/0.36 fof(f46,plain,(
% 0.12/0.36 spl0_2 <=> product(e_1,e_2,e_1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f47,plain,(
% 0.12/0.36 product(e_1,e_2,e_1)|~spl0_2),
% 0.12/0.36 inference(component_clause,[status(thm)],[f46])).
% 0.12/0.36 fof(f49,plain,(
% 0.12/0.36 spl0_3 <=> product(e_1,e_2,e_2)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f50,plain,(
% 0.12/0.36 product(e_1,e_2,e_2)|~spl0_3),
% 0.12/0.36 inference(component_clause,[status(thm)],[f49])).
% 0.12/0.36 fof(f52,plain,(
% 0.12/0.36 product(e_1,e_2,e_1)|product(e_1,e_2,e_2)),
% 0.12/0.36 inference(resolution,[status(thm)],[f36,f11])).
% 0.12/0.36 fof(f53,plain,(
% 0.12/0.36 spl0_2|spl0_3),
% 0.12/0.36 inference(split_clause,[status(thm)],[f52,f46,f49])).
% 0.12/0.36 fof(f54,plain,(
% 0.12/0.36 spl0_4 <=> group_element(e_2)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f56,plain,(
% 0.12/0.36 ~group_element(e_2)|spl0_4),
% 0.12/0.36 inference(component_clause,[status(thm)],[f54])).
% 0.12/0.36 fof(f57,plain,(
% 0.12/0.36 spl0_5 <=> product(e_2,e_1,e_2)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f58,plain,(
% 0.12/0.36 product(e_2,e_1,e_2)|~spl0_5),
% 0.12/0.36 inference(component_clause,[status(thm)],[f57])).
% 0.12/0.36 fof(f60,plain,(
% 0.12/0.36 spl0_6 <=> ~product(e_1,X0,e_1)|~product(X1,e_1,X0)|~product(X1,e_2,e_1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f61,plain,(
% 0.12/0.36 ![X0,X1]: (~product(e_1,X0,e_1)|~product(X1,e_1,X0)|~product(X1,e_2,e_1)|~spl0_6)),
% 0.12/0.36 inference(component_clause,[status(thm)],[f60])).
% 0.12/0.36 fof(f63,plain,(
% 0.12/0.36 ![X0,X1]: (~group_element(e_2)|product(e_2,e_1,e_2)|~product(e_1,X0,e_1)|~product(X1,e_1,X0)|~product(X1,e_2,e_1))),
% 0.12/0.36 inference(resolution,[status(thm)],[f37,f30])).
% 0.12/0.36 fof(f64,plain,(
% 0.12/0.36 ~spl0_4|spl0_5|spl0_6),
% 0.12/0.36 inference(split_clause,[status(thm)],[f63,f54,f57,f60])).
% 0.12/0.36 fof(f65,plain,(
% 0.12/0.36 spl0_7 <=> product(e_1,e_1,e_1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f67,plain,(
% 0.12/0.36 ~product(e_1,e_1,e_1)|spl0_7),
% 0.12/0.36 inference(component_clause,[status(thm)],[f65])).
% 0.12/0.36 fof(f68,plain,(
% 0.12/0.36 ~group_element(e_2)|product(e_2,e_1,e_2)|~product(e_1,e_1,e_1)),
% 0.12/0.36 inference(resolution,[status(thm)],[f37,f26])).
% 0.12/0.36 fof(f69,plain,(
% 0.12/0.36 ~spl0_4|spl0_5|~spl0_7),
% 0.12/0.36 inference(split_clause,[status(thm)],[f68,f54,f57,f65])).
% 0.12/0.36 fof(f70,plain,(
% 0.12/0.36 $false|spl0_4),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f56,f12])).
% 0.12/0.36 fof(f71,plain,(
% 0.12/0.36 spl0_4),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f70])).
% 0.12/0.36 fof(f72,plain,(
% 0.12/0.36 ![X0,X1]: (~product(e_1,X0,e_2)|~product(X1,e_1,X0)|~product(X1,e_2,e_1)|~spl0_5)),
% 0.12/0.36 inference(resolution,[status(thm)],[f58,f30])).
% 0.12/0.36 fof(f73,plain,(
% 0.12/0.36 ~product(e_1,e_1,e_2)|~spl0_5),
% 0.12/0.36 inference(resolution,[status(thm)],[f58,f26])).
% 0.12/0.36 fof(f78,plain,(
% 0.12/0.36 ~product(e_1,e_1,e_1)|~spl0_2),
% 0.12/0.36 inference(resolution,[status(thm)],[f47,f27])).
% 0.12/0.36 fof(f82,plain,(
% 0.12/0.36 spl0_8 <=> group_element(e_1)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f84,plain,(
% 0.12/0.36 ~group_element(e_1)|spl0_8),
% 0.12/0.36 inference(component_clause,[status(thm)],[f82])).
% 0.12/0.36 fof(f85,plain,(
% 0.12/0.36 spl0_9 <=> product(e_1,e_1,e_2)),
% 0.12/0.36 introduced(split_symbol_definition)).
% 0.12/0.36 fof(f86,plain,(
% 0.12/0.36 product(e_1,e_1,e_2)|~spl0_9),
% 0.12/0.36 inference(component_clause,[status(thm)],[f85])).
% 0.12/0.36 fof(f88,plain,(
% 0.12/0.36 ~group_element(e_1)|product(e_1,e_1,e_2)|~spl0_2),
% 0.12/0.36 inference(resolution,[status(thm)],[f78,f37])).
% 0.12/0.36 fof(f89,plain,(
% 0.12/0.36 ~spl0_8|spl0_9|~spl0_2),
% 0.12/0.36 inference(split_clause,[status(thm)],[f88,f82,f85,f46])).
% 0.12/0.36 fof(f90,plain,(
% 0.12/0.36 $false|spl0_8),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f84,f11])).
% 0.12/0.36 fof(f91,plain,(
% 0.12/0.36 spl0_8),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f90])).
% 0.12/0.36 fof(f92,plain,(
% 0.12/0.36 $false|~spl0_5|~spl0_9),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f86,f73])).
% 0.12/0.36 fof(f93,plain,(
% 0.12/0.36 ~spl0_5|~spl0_9),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f92])).
% 0.12/0.36 fof(f96,plain,(
% 0.12/0.36 ![X0]: (~product(X0,e_1,e_2)|~product(X0,e_2,e_1)|~spl0_3|~spl0_5)),
% 0.12/0.36 inference(resolution,[status(thm)],[f50,f72])).
% 0.12/0.36 fof(f100,plain,(
% 0.12/0.36 ~product(e_2,e_1,e_2)|~spl0_3|~spl0_5|~spl0_0),
% 0.12/0.36 inference(resolution,[status(thm)],[f96,f39])).
% 0.12/0.36 fof(f101,plain,(
% 0.12/0.36 $false|~spl0_3|~spl0_5|~spl0_0),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f100,f58])).
% 0.12/0.36 fof(f102,plain,(
% 0.12/0.36 ~spl0_3|~spl0_5|~spl0_0),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f101])).
% 0.12/0.36 fof(f103,plain,(
% 0.12/0.36 ~group_element(e_1)|product(e_1,e_1,e_2)|spl0_7),
% 0.12/0.36 inference(resolution,[status(thm)],[f67,f37])).
% 0.12/0.36 fof(f104,plain,(
% 0.12/0.36 ~spl0_8|spl0_9|spl0_7),
% 0.12/0.36 inference(split_clause,[status(thm)],[f103,f82,f85,f65])).
% 0.12/0.36 fof(f113,plain,(
% 0.12/0.36 ~product(e_1,e_2,e_2)|~spl0_1),
% 0.12/0.36 inference(resolution,[status(thm)],[f42,f26])).
% 0.12/0.36 fof(f114,plain,(
% 0.12/0.36 $false|~spl0_3|~spl0_1),
% 0.12/0.36 inference(forward_subsumption_resolution,[status(thm)],[f113,f50])).
% 0.12/0.36 fof(f115,plain,(
% 0.12/0.36 ~spl0_3|~spl0_1),
% 0.12/0.36 inference(contradiction_clause,[status(thm)],[f114])).
% 0.12/0.36 fof(f116,plain,(
% 0.12/0.36 ~product(e_1,e_1,e_2)|~spl0_3),
% 0.12/0.36 inference(resolution,[status(thm)],[f50,f27])).
% 0.12/0.36 fof(f117,plain,(
% 0.12/0.36 ~spl0_9|~spl0_3),
% 0.12/0.36 inference(split_clause,[status(thm)],[f116,f85,f49])).
% 0.12/0.36 fof(f129,plain,(
% 0.12/0.36 ![X0]: (~product(e_1,X0,e_1)|~product(e_1,e_1,X0)|~spl0_2|~spl0_6)),
% 0.12/0.36 inference(resolution,[status(thm)],[f47,f61])).
% 0.12/0.36 fof(f131,plain,(
% 0.12/0.36 ~product(e_1,e_2,e_1)|~spl0_2|~spl0_6|~spl0_9),
% 0.12/0.36 inference(resolution,[status(thm)],[f129,f86])).
% 0.12/0.36 fof(f132,plain,(
% 0.12/0.36 ~spl0_2|~spl0_6|~spl0_9),
% 0.12/0.36 inference(split_clause,[status(thm)],[f131,f46,f60,f85])).
% 0.12/0.36 fof(f135,plain,(
% 0.12/0.36 $false),
% 0.12/0.36 inference(sat_refutation,[status(thm)],[f45,f53,f64,f69,f71,f89,f91,f93,f102,f104,f115,f117,f132])).
% 0.12/0.36 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.58 % Elapsed time: 0.017223 seconds
% 0.19/0.58 % CPU time: 0.022226 seconds
% 0.19/0.58 % Memory used: 536.593 KB
%------------------------------------------------------------------------------