TSTP Solution File: GRP130-3.003 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP130-3.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:10:39 EDT 2023
% Result : Unsatisfiable 0.13s 0.32s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP130-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.05/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue May 30 11:31:31 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % Drodi V3.5.1
% 0.13/0.32 % Refutation found
% 0.13/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.32 fof(f1,axiom,(
% 0.13/0.32 next(e_0,e_1) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f2,axiom,(
% 0.13/0.32 next(e_1,e_2) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f3,axiom,(
% 0.13/0.32 next(e_2,e_3) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f4,axiom,(
% 0.13/0.32 greater(e_1,e_0) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f5,axiom,(
% 0.13/0.32 greater(e_2,e_0) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f7,axiom,(
% 0.13/0.32 greater(e_2,e_1) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f8,axiom,(
% 0.13/0.32 greater(e_3,e_1) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f9,axiom,(
% 0.13/0.32 greater(e_3,e_2) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f11,axiom,(
% 0.13/0.32 (![X]: (( ~ group_element(X)| cycle(X,e_0)| cycle(X,e_1)| cycle(X,e_2) ) ))),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f12,axiom,(
% 0.13/0.32 cycle(e_3,e_0) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f13,axiom,(
% 0.13/0.32 (![X,Y,W,Z,Z1]: (( ~ cycle(X,Y)| ~ cycle(W,Z)| ~ next(X,W)| ~ greater(Y,e_0)| ~ next(Z,Z1)| equalish(Y,Z1) ) ))),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f14,axiom,(
% 0.13/0.32 (![X,Z1,Y,W,Z2]: (( ~ cycle(X,Z1)| ~ cycle(Y,e_0)| ~ cycle(W,Z2)| ~ next(Y,W)| ~ greater(Y,X)| ~ greater(Z1,Z2) ) ))),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f15,axiom,(
% 0.13/0.32 (![X,Y]: (( ~ cycle(X,e_0)| ~ product(X,e_1,Y)| ~ greater(Y,X) ) ))),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f16,axiom,(
% 0.13/0.32 (![X,Y,Z,X1]: (( ~ cycle(X,Y)| ~ product(X,e_1,Z)| ~ greater(Y,e_0)| ~ next(X,X1)| equalish(Z,X1) ) ))),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f17,axiom,(
% 0.13/0.32 group_element(e_1) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f18,axiom,(
% 0.13/0.32 group_element(e_2) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f19,axiom,(
% 0.13/0.32 group_element(e_3) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f20,axiom,(
% 0.13/0.32 ~ equalish(e_1,e_2) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f21,axiom,(
% 0.13/0.32 ~ equalish(e_1,e_3) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f22,axiom,(
% 0.13/0.32 ~ equalish(e_2,e_1) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f23,axiom,(
% 0.13/0.32 ~ equalish(e_2,e_3) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f24,axiom,(
% 0.13/0.32 ~ equalish(e_3,e_1) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f25,axiom,(
% 0.13/0.32 ~ equalish(e_3,e_2) ),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f26,axiom,(
% 0.13/0.32 (![X,Y]: (( ~ group_element(X)| ~ group_element(Y)| product(X,Y,e_1)| product(X,Y,e_2)| product(X,Y,e_3) ) ))),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f27,axiom,(
% 0.13/0.32 (![X,Y,W,Z]: (( ~ product(X,Y,W)| ~ product(X,Y,Z)| equalish(W,Z) ) ))),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f28,axiom,(
% 0.13/0.32 (![X,W,Y,Z]: (( ~ product(X,W,Y)| ~ product(X,Z,Y)| equalish(W,Z) ) ))),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f29,axiom,(
% 0.13/0.32 (![W,Y,X,Z]: (( ~ product(W,Y,X)| ~ product(Z,Y,X)| equalish(W,Z) ) ))),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f30,negated_conjecture,(
% 0.13/0.32 (![X,Y,Z1,Z2]: (( ~ product(X,Y,Z1)| ~ product(X,Z1,Z2)| product(Z2,Y,X) ) ))),
% 0.13/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.32 fof(f31,plain,(
% 0.13/0.32 next(e_0,e_1)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f1])).
% 0.13/0.32 fof(f32,plain,(
% 0.13/0.32 next(e_1,e_2)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f2])).
% 0.13/0.32 fof(f33,plain,(
% 0.13/0.32 next(e_2,e_3)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f3])).
% 0.13/0.32 fof(f34,plain,(
% 0.13/0.32 greater(e_1,e_0)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f4])).
% 0.13/0.32 fof(f35,plain,(
% 0.13/0.32 greater(e_2,e_0)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f5])).
% 0.13/0.32 fof(f37,plain,(
% 0.13/0.32 greater(e_2,e_1)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f7])).
% 0.13/0.32 fof(f38,plain,(
% 0.13/0.32 greater(e_3,e_1)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f8])).
% 0.13/0.32 fof(f39,plain,(
% 0.13/0.32 greater(e_3,e_2)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f9])).
% 0.13/0.32 fof(f42,plain,(
% 0.13/0.32 ![X0]: (~group_element(X0)|cycle(X0,e_0)|cycle(X0,e_1)|cycle(X0,e_2))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.32 fof(f43,plain,(
% 0.13/0.32 cycle(e_3,e_0)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.32 fof(f44,plain,(
% 0.13/0.32 ![Y,Z1]: ((![Z]: (((![X,W]: ((~cycle(X,Y)|~cycle(W,Z))|~next(X,W)))|~greater(Y,e_0))|~next(Z,Z1)))|equalish(Y,Z1))),
% 0.13/0.32 inference(miniscoping,[status(esa)],[f13])).
% 0.13/0.32 fof(f45,plain,(
% 0.13/0.32 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,X3)|~next(X0,X2)|~greater(X1,e_0)|~next(X3,X4)|equalish(X1,X4))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f44])).
% 0.13/0.32 fof(f46,plain,(
% 0.13/0.32 ![Z1,Z2]: ((![X,Y]: ((![W]: (((~cycle(X,Z1)|~cycle(Y,e_0))|~cycle(W,Z2))|~next(Y,W)))|~greater(Y,X)))|~greater(Z1,Z2))),
% 0.13/0.32 inference(miniscoping,[status(esa)],[f14])).
% 0.13/0.32 fof(f47,plain,(
% 0.13/0.32 ![X0,X1,X2,X3,X4]: (~cycle(X0,X1)|~cycle(X2,e_0)|~cycle(X3,X4)|~next(X2,X3)|~greater(X2,X0)|~greater(X1,X4))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f46])).
% 0.13/0.32 fof(f48,plain,(
% 0.13/0.32 ![X0,X1]: (~cycle(X0,e_0)|~product(X0,e_1,X1)|~greater(X1,X0))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.32 fof(f49,plain,(
% 0.13/0.32 ![Z,X1]: ((![X]: ((![Y]: ((~cycle(X,Y)|~product(X,e_1,Z))|~greater(Y,e_0)))|~next(X,X1)))|equalish(Z,X1))),
% 0.13/0.32 inference(miniscoping,[status(esa)],[f16])).
% 0.13/0.32 fof(f50,plain,(
% 0.13/0.32 ![X0,X1,X2,X3]: (~cycle(X0,X1)|~product(X0,e_1,X2)|~greater(X1,e_0)|~next(X0,X3)|equalish(X2,X3))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.32 fof(f51,plain,(
% 0.13/0.32 group_element(e_1)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.32 fof(f52,plain,(
% 0.13/0.32 group_element(e_2)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.32 fof(f53,plain,(
% 0.13/0.32 group_element(e_3)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.32 fof(f54,plain,(
% 0.13/0.32 ~equalish(e_1,e_2)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f20])).
% 0.13/0.32 fof(f55,plain,(
% 0.13/0.32 ~equalish(e_1,e_3)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.32 fof(f56,plain,(
% 0.13/0.32 ~equalish(e_2,e_1)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f22])).
% 0.13/0.32 fof(f57,plain,(
% 0.13/0.32 ~equalish(e_2,e_3)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.32 fof(f58,plain,(
% 0.13/0.32 ~equalish(e_3,e_1)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f24])).
% 0.13/0.32 fof(f59,plain,(
% 0.13/0.32 ~equalish(e_3,e_2)),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f25])).
% 0.13/0.32 fof(f60,plain,(
% 0.13/0.32 ![X0,X1]: (~group_element(X0)|~group_element(X1)|product(X0,X1,e_1)|product(X0,X1,e_2)|product(X0,X1,e_3))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f26])).
% 0.13/0.32 fof(f61,plain,(
% 0.13/0.32 ![W,Z]: ((![X,Y]: (~product(X,Y,W)|~product(X,Y,Z)))|equalish(W,Z))),
% 0.13/0.32 inference(miniscoping,[status(esa)],[f27])).
% 0.13/0.32 fof(f62,plain,(
% 0.13/0.32 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X1,X3)|equalish(X2,X3))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f61])).
% 0.13/0.32 fof(f63,plain,(
% 0.13/0.32 ![W,Z]: ((![X,Y]: (~product(X,W,Y)|~product(X,Z,Y)))|equalish(W,Z))),
% 0.13/0.32 inference(miniscoping,[status(esa)],[f28])).
% 0.13/0.32 fof(f64,plain,(
% 0.13/0.32 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X3,X2)|equalish(X1,X3))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f63])).
% 0.13/0.32 fof(f65,plain,(
% 0.13/0.32 ![W,Z]: ((![Y,X]: (~product(W,Y,X)|~product(Z,Y,X)))|equalish(W,Z))),
% 0.13/0.32 inference(miniscoping,[status(esa)],[f29])).
% 0.13/0.32 fof(f66,plain,(
% 0.13/0.32 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X3,X1,X2)|equalish(X0,X3))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f65])).
% 0.13/0.32 fof(f67,plain,(
% 0.13/0.32 ![X,Y,Z2]: ((![Z1]: (~product(X,Y,Z1)|~product(X,Z1,Z2)))|product(Z2,Y,X))),
% 0.13/0.32 inference(miniscoping,[status(esa)],[f30])).
% 0.13/0.32 fof(f68,plain,(
% 0.13/0.32 ![X0,X1,X2,X3]: (~product(X0,X1,X2)|~product(X0,X2,X3)|product(X3,X1,X0))),
% 0.13/0.32 inference(cnf_transformation,[status(esa)],[f67])).
% 0.13/0.32 fof(f69,plain,(
% 0.13/0.32 ![X0]: (~group_element(X0)|product(e_1,X0,e_1)|product(e_1,X0,e_2)|product(e_1,X0,e_3))),
% 0.13/0.32 inference(resolution,[status(thm)],[f51,f60])).
% 0.13/0.32 fof(f70,plain,(
% 0.13/0.32 spl0_0 <=> cycle(e_1,e_0)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f71,plain,(
% 0.13/0.32 cycle(e_1,e_0)|~spl0_0),
% 0.13/0.32 inference(component_clause,[status(thm)],[f70])).
% 0.13/0.32 fof(f73,plain,(
% 0.13/0.32 spl0_1 <=> cycle(e_1,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f74,plain,(
% 0.13/0.32 cycle(e_1,e_1)|~spl0_1),
% 0.13/0.32 inference(component_clause,[status(thm)],[f73])).
% 0.13/0.32 fof(f76,plain,(
% 0.13/0.32 spl0_2 <=> cycle(e_1,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f77,plain,(
% 0.13/0.32 cycle(e_1,e_2)|~spl0_2),
% 0.13/0.32 inference(component_clause,[status(thm)],[f76])).
% 0.13/0.32 fof(f79,plain,(
% 0.13/0.32 cycle(e_1,e_0)|cycle(e_1,e_1)|cycle(e_1,e_2)),
% 0.13/0.32 inference(resolution,[status(thm)],[f51,f42])).
% 0.13/0.32 fof(f80,plain,(
% 0.13/0.32 spl0_0|spl0_1|spl0_2),
% 0.13/0.32 inference(split_clause,[status(thm)],[f79,f70,f73,f76])).
% 0.13/0.32 fof(f81,plain,(
% 0.13/0.32 spl0_3 <=> product(e_1,e_1,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f82,plain,(
% 0.13/0.32 product(e_1,e_1,e_1)|~spl0_3),
% 0.13/0.32 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.32 fof(f84,plain,(
% 0.13/0.32 spl0_4 <=> product(e_1,e_1,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f85,plain,(
% 0.13/0.32 product(e_1,e_1,e_2)|~spl0_4),
% 0.13/0.32 inference(component_clause,[status(thm)],[f84])).
% 0.13/0.32 fof(f87,plain,(
% 0.13/0.32 spl0_5 <=> product(e_1,e_1,e_3)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f88,plain,(
% 0.13/0.32 product(e_1,e_1,e_3)|~spl0_5),
% 0.13/0.32 inference(component_clause,[status(thm)],[f87])).
% 0.13/0.32 fof(f90,plain,(
% 0.13/0.32 product(e_1,e_1,e_1)|product(e_1,e_1,e_2)|product(e_1,e_1,e_3)),
% 0.13/0.32 inference(resolution,[status(thm)],[f69,f51])).
% 0.13/0.32 fof(f91,plain,(
% 0.13/0.32 spl0_3|spl0_4|spl0_5),
% 0.13/0.32 inference(split_clause,[status(thm)],[f90,f81,f84,f87])).
% 0.13/0.32 fof(f92,plain,(
% 0.13/0.32 spl0_6 <=> product(e_1,e_2,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f93,plain,(
% 0.13/0.32 product(e_1,e_2,e_1)|~spl0_6),
% 0.13/0.32 inference(component_clause,[status(thm)],[f92])).
% 0.13/0.32 fof(f95,plain,(
% 0.13/0.32 spl0_7 <=> product(e_1,e_2,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f96,plain,(
% 0.13/0.32 product(e_1,e_2,e_2)|~spl0_7),
% 0.13/0.32 inference(component_clause,[status(thm)],[f95])).
% 0.13/0.32 fof(f98,plain,(
% 0.13/0.32 spl0_8 <=> product(e_1,e_2,e_3)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f99,plain,(
% 0.13/0.32 product(e_1,e_2,e_3)|~spl0_8),
% 0.13/0.32 inference(component_clause,[status(thm)],[f98])).
% 0.13/0.32 fof(f101,plain,(
% 0.13/0.32 product(e_1,e_2,e_1)|product(e_1,e_2,e_2)|product(e_1,e_2,e_3)),
% 0.13/0.32 inference(resolution,[status(thm)],[f52,f69])).
% 0.13/0.32 fof(f102,plain,(
% 0.13/0.32 spl0_6|spl0_7|spl0_8),
% 0.13/0.32 inference(split_clause,[status(thm)],[f101,f92,f95,f98])).
% 0.13/0.32 fof(f103,plain,(
% 0.13/0.32 ![X0]: (~group_element(X0)|product(e_2,X0,e_1)|product(e_2,X0,e_2)|product(e_2,X0,e_3))),
% 0.13/0.32 inference(resolution,[status(thm)],[f52,f60])).
% 0.13/0.32 fof(f104,plain,(
% 0.13/0.32 spl0_9 <=> cycle(e_2,e_0)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f105,plain,(
% 0.13/0.32 cycle(e_2,e_0)|~spl0_9),
% 0.13/0.32 inference(component_clause,[status(thm)],[f104])).
% 0.13/0.32 fof(f107,plain,(
% 0.13/0.32 spl0_10 <=> cycle(e_2,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f108,plain,(
% 0.13/0.32 cycle(e_2,e_1)|~spl0_10),
% 0.13/0.32 inference(component_clause,[status(thm)],[f107])).
% 0.13/0.32 fof(f110,plain,(
% 0.13/0.32 spl0_11 <=> cycle(e_2,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f111,plain,(
% 0.13/0.32 cycle(e_2,e_2)|~spl0_11),
% 0.13/0.32 inference(component_clause,[status(thm)],[f110])).
% 0.13/0.32 fof(f113,plain,(
% 0.13/0.32 cycle(e_2,e_0)|cycle(e_2,e_1)|cycle(e_2,e_2)),
% 0.13/0.32 inference(resolution,[status(thm)],[f52,f42])).
% 0.13/0.32 fof(f114,plain,(
% 0.13/0.32 spl0_9|spl0_10|spl0_11),
% 0.13/0.32 inference(split_clause,[status(thm)],[f113,f104,f107,f110])).
% 0.13/0.32 fof(f115,plain,(
% 0.13/0.32 spl0_12 <=> product(e_2,e_2,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f116,plain,(
% 0.13/0.32 product(e_2,e_2,e_1)|~spl0_12),
% 0.13/0.32 inference(component_clause,[status(thm)],[f115])).
% 0.13/0.32 fof(f118,plain,(
% 0.13/0.32 spl0_13 <=> product(e_2,e_2,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f119,plain,(
% 0.13/0.32 product(e_2,e_2,e_2)|~spl0_13),
% 0.13/0.32 inference(component_clause,[status(thm)],[f118])).
% 0.13/0.32 fof(f121,plain,(
% 0.13/0.32 spl0_14 <=> product(e_2,e_2,e_3)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f124,plain,(
% 0.13/0.32 product(e_2,e_2,e_1)|product(e_2,e_2,e_2)|product(e_2,e_2,e_3)),
% 0.13/0.32 inference(resolution,[status(thm)],[f103,f52])).
% 0.13/0.32 fof(f125,plain,(
% 0.13/0.32 spl0_12|spl0_13|spl0_14),
% 0.13/0.32 inference(split_clause,[status(thm)],[f124,f115,f118,f121])).
% 0.13/0.32 fof(f126,plain,(
% 0.13/0.32 spl0_15 <=> product(e_2,e_1,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f127,plain,(
% 0.13/0.32 product(e_2,e_1,e_1)|~spl0_15),
% 0.13/0.32 inference(component_clause,[status(thm)],[f126])).
% 0.13/0.32 fof(f129,plain,(
% 0.13/0.32 spl0_16 <=> product(e_2,e_1,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f130,plain,(
% 0.13/0.32 product(e_2,e_1,e_2)|~spl0_16),
% 0.13/0.32 inference(component_clause,[status(thm)],[f129])).
% 0.13/0.32 fof(f132,plain,(
% 0.13/0.32 spl0_17 <=> product(e_2,e_1,e_3)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f133,plain,(
% 0.13/0.32 product(e_2,e_1,e_3)|~spl0_17),
% 0.13/0.32 inference(component_clause,[status(thm)],[f132])).
% 0.13/0.32 fof(f135,plain,(
% 0.13/0.32 product(e_2,e_1,e_1)|product(e_2,e_1,e_2)|product(e_2,e_1,e_3)),
% 0.13/0.32 inference(resolution,[status(thm)],[f103,f51])).
% 0.13/0.32 fof(f136,plain,(
% 0.13/0.32 spl0_15|spl0_16|spl0_17),
% 0.13/0.32 inference(split_clause,[status(thm)],[f135,f126,f129,f132])).
% 0.13/0.32 fof(f137,plain,(
% 0.13/0.32 spl0_18 <=> product(e_2,e_3,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f138,plain,(
% 0.13/0.32 product(e_2,e_3,e_1)|~spl0_18),
% 0.13/0.32 inference(component_clause,[status(thm)],[f137])).
% 0.13/0.32 fof(f140,plain,(
% 0.13/0.32 spl0_19 <=> product(e_2,e_3,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f141,plain,(
% 0.13/0.32 product(e_2,e_3,e_2)|~spl0_19),
% 0.13/0.32 inference(component_clause,[status(thm)],[f140])).
% 0.13/0.32 fof(f143,plain,(
% 0.13/0.32 spl0_20 <=> product(e_2,e_3,e_3)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f144,plain,(
% 0.13/0.32 product(e_2,e_3,e_3)|~spl0_20),
% 0.13/0.32 inference(component_clause,[status(thm)],[f143])).
% 0.13/0.32 fof(f146,plain,(
% 0.13/0.32 product(e_2,e_3,e_1)|product(e_2,e_3,e_2)|product(e_2,e_3,e_3)),
% 0.13/0.32 inference(resolution,[status(thm)],[f53,f103])).
% 0.13/0.32 fof(f147,plain,(
% 0.13/0.32 spl0_18|spl0_19|spl0_20),
% 0.13/0.32 inference(split_clause,[status(thm)],[f146,f137,f140,f143])).
% 0.13/0.32 fof(f148,plain,(
% 0.13/0.32 spl0_21 <=> product(e_1,e_3,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f149,plain,(
% 0.13/0.32 product(e_1,e_3,e_1)|~spl0_21),
% 0.13/0.32 inference(component_clause,[status(thm)],[f148])).
% 0.13/0.32 fof(f151,plain,(
% 0.13/0.32 spl0_22 <=> product(e_1,e_3,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f152,plain,(
% 0.13/0.32 product(e_1,e_3,e_2)|~spl0_22),
% 0.13/0.32 inference(component_clause,[status(thm)],[f151])).
% 0.13/0.32 fof(f154,plain,(
% 0.13/0.32 spl0_23 <=> product(e_1,e_3,e_3)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f155,plain,(
% 0.13/0.32 product(e_1,e_3,e_3)|~spl0_23),
% 0.13/0.32 inference(component_clause,[status(thm)],[f154])).
% 0.13/0.32 fof(f157,plain,(
% 0.13/0.32 product(e_1,e_3,e_1)|product(e_1,e_3,e_2)|product(e_1,e_3,e_3)),
% 0.13/0.32 inference(resolution,[status(thm)],[f53,f69])).
% 0.13/0.32 fof(f158,plain,(
% 0.13/0.32 spl0_21|spl0_22|spl0_23),
% 0.13/0.32 inference(split_clause,[status(thm)],[f157,f148,f151,f154])).
% 0.13/0.32 fof(f159,plain,(
% 0.13/0.32 ![X0]: (~group_element(X0)|product(e_3,X0,e_1)|product(e_3,X0,e_2)|product(e_3,X0,e_3))),
% 0.13/0.32 inference(resolution,[status(thm)],[f53,f60])).
% 0.13/0.32 fof(f160,plain,(
% 0.13/0.32 spl0_24 <=> cycle(e_3,e_0)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f162,plain,(
% 0.13/0.32 ~cycle(e_3,e_0)|spl0_24),
% 0.13/0.32 inference(component_clause,[status(thm)],[f160])).
% 0.13/0.32 fof(f171,plain,(
% 0.13/0.32 spl0_27 <=> product(e_3,e_3,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f172,plain,(
% 0.13/0.32 product(e_3,e_3,e_1)|~spl0_27),
% 0.13/0.32 inference(component_clause,[status(thm)],[f171])).
% 0.13/0.32 fof(f174,plain,(
% 0.13/0.32 spl0_28 <=> product(e_3,e_3,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f175,plain,(
% 0.13/0.32 product(e_3,e_3,e_2)|~spl0_28),
% 0.13/0.32 inference(component_clause,[status(thm)],[f174])).
% 0.13/0.32 fof(f177,plain,(
% 0.13/0.32 spl0_29 <=> product(e_3,e_3,e_3)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f178,plain,(
% 0.13/0.32 product(e_3,e_3,e_3)|~spl0_29),
% 0.13/0.32 inference(component_clause,[status(thm)],[f177])).
% 0.13/0.32 fof(f180,plain,(
% 0.13/0.32 product(e_3,e_3,e_1)|product(e_3,e_3,e_2)|product(e_3,e_3,e_3)),
% 0.13/0.32 inference(resolution,[status(thm)],[f159,f53])).
% 0.13/0.32 fof(f181,plain,(
% 0.13/0.32 spl0_27|spl0_28|spl0_29),
% 0.13/0.32 inference(split_clause,[status(thm)],[f180,f171,f174,f177])).
% 0.13/0.32 fof(f182,plain,(
% 0.13/0.32 spl0_30 <=> product(e_3,e_2,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f183,plain,(
% 0.13/0.32 product(e_3,e_2,e_1)|~spl0_30),
% 0.13/0.32 inference(component_clause,[status(thm)],[f182])).
% 0.13/0.32 fof(f185,plain,(
% 0.13/0.32 spl0_31 <=> product(e_3,e_2,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f186,plain,(
% 0.13/0.32 product(e_3,e_2,e_2)|~spl0_31),
% 0.13/0.32 inference(component_clause,[status(thm)],[f185])).
% 0.13/0.32 fof(f188,plain,(
% 0.13/0.32 spl0_32 <=> product(e_3,e_2,e_3)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f189,plain,(
% 0.13/0.32 product(e_3,e_2,e_3)|~spl0_32),
% 0.13/0.32 inference(component_clause,[status(thm)],[f188])).
% 0.13/0.32 fof(f191,plain,(
% 0.13/0.32 product(e_3,e_2,e_1)|product(e_3,e_2,e_2)|product(e_3,e_2,e_3)),
% 0.13/0.32 inference(resolution,[status(thm)],[f159,f52])).
% 0.13/0.32 fof(f192,plain,(
% 0.13/0.32 spl0_30|spl0_31|spl0_32),
% 0.13/0.32 inference(split_clause,[status(thm)],[f191,f182,f185,f188])).
% 0.13/0.32 fof(f193,plain,(
% 0.13/0.32 spl0_33 <=> product(e_3,e_1,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f194,plain,(
% 0.13/0.32 product(e_3,e_1,e_1)|~spl0_33),
% 0.13/0.32 inference(component_clause,[status(thm)],[f193])).
% 0.13/0.32 fof(f196,plain,(
% 0.13/0.32 spl0_34 <=> product(e_3,e_1,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f197,plain,(
% 0.13/0.32 product(e_3,e_1,e_2)|~spl0_34),
% 0.13/0.32 inference(component_clause,[status(thm)],[f196])).
% 0.13/0.32 fof(f199,plain,(
% 0.13/0.32 spl0_35 <=> product(e_3,e_1,e_3)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f200,plain,(
% 0.13/0.32 product(e_3,e_1,e_3)|~spl0_35),
% 0.13/0.32 inference(component_clause,[status(thm)],[f199])).
% 0.13/0.32 fof(f202,plain,(
% 0.13/0.32 product(e_3,e_1,e_1)|product(e_3,e_1,e_2)|product(e_3,e_1,e_3)),
% 0.13/0.32 inference(resolution,[status(thm)],[f159,f51])).
% 0.13/0.32 fof(f203,plain,(
% 0.13/0.32 spl0_33|spl0_34|spl0_35),
% 0.13/0.32 inference(split_clause,[status(thm)],[f202,f193,f196,f199])).
% 0.13/0.32 fof(f208,plain,(
% 0.13/0.32 spl0_37 <=> greater(e_0,e_0)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f220,plain,(
% 0.13/0.32 spl0_39 <=> ~cycle(X0,X1)|~next(e_3,X0)|~greater(e_0,X1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f238,plain,(
% 0.13/0.32 spl0_43 <=> ~cycle(X0,X1)|~next(e_1,X0)|~next(X1,X2)|equalish(e_2,X2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f239,plain,(
% 0.13/0.32 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_1,X0)|~next(X1,X2)|equalish(e_2,X2)|~spl0_43)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f238])).
% 0.13/0.32 fof(f241,plain,(
% 0.13/0.32 spl0_44 <=> greater(e_2,e_0)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f243,plain,(
% 0.13/0.32 ~greater(e_2,e_0)|spl0_44),
% 0.13/0.32 inference(component_clause,[status(thm)],[f241])).
% 0.13/0.32 fof(f244,plain,(
% 0.13/0.32 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_1,X0)|~greater(e_2,e_0)|~next(X1,X2)|equalish(e_2,X2)|~spl0_2)),
% 0.13/0.32 inference(resolution,[status(thm)],[f77,f45])).
% 0.13/0.32 fof(f245,plain,(
% 0.13/0.32 spl0_43|~spl0_44|~spl0_2),
% 0.13/0.32 inference(split_clause,[status(thm)],[f244,f238,f241,f76])).
% 0.13/0.32 fof(f246,plain,(
% 0.13/0.32 spl0_45 <=> ~product(e_1,e_1,X0)|~next(e_1,X1)|equalish(X0,X1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f247,plain,(
% 0.13/0.32 ![X0,X1]: (~product(e_1,e_1,X0)|~next(e_1,X1)|equalish(X0,X1)|~spl0_45)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f246])).
% 0.13/0.32 fof(f252,plain,(
% 0.13/0.32 $false|spl0_44),
% 0.13/0.32 inference(forward_subsumption_resolution,[status(thm)],[f243,f35])).
% 0.13/0.32 fof(f253,plain,(
% 0.13/0.32 spl0_44),
% 0.13/0.32 inference(contradiction_clause,[status(thm)],[f252])).
% 0.13/0.32 fof(f255,plain,(
% 0.13/0.32 spl0_46 <=> ~cycle(X0,X1)|~next(e_2,X0)|~next(X1,X2)|equalish(e_2,X2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f256,plain,(
% 0.13/0.32 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_2,X0)|~next(X1,X2)|equalish(e_2,X2)|~spl0_46)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f255])).
% 0.13/0.32 fof(f258,plain,(
% 0.13/0.32 ![X0,X1,X2]: (~cycle(X0,X1)|~next(e_2,X0)|~greater(e_2,e_0)|~next(X1,X2)|equalish(e_2,X2)|~spl0_11)),
% 0.13/0.32 inference(resolution,[status(thm)],[f111,f45])).
% 0.13/0.32 fof(f259,plain,(
% 0.13/0.32 spl0_46|~spl0_44|~spl0_11),
% 0.13/0.32 inference(split_clause,[status(thm)],[f258,f255,f241,f110])).
% 0.13/0.32 fof(f260,plain,(
% 0.13/0.32 spl0_47 <=> ~product(e_2,e_1,X0)|~next(e_2,X1)|equalish(X0,X1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f261,plain,(
% 0.13/0.32 ![X0,X1]: (~product(e_2,e_1,X0)|~next(e_2,X1)|equalish(X0,X1)|~spl0_47)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f260])).
% 0.13/0.32 fof(f269,plain,(
% 0.13/0.32 spl0_49 <=> ~next(e_0,X0)|equalish(e_2,X0)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f270,plain,(
% 0.13/0.32 ![X0]: (~next(e_0,X0)|equalish(e_2,X0)|~spl0_49)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f269])).
% 0.13/0.32 fof(f274,plain,(
% 0.13/0.32 equalish(e_2,e_1)|~spl0_49),
% 0.13/0.32 inference(resolution,[status(thm)],[f270,f31])).
% 0.13/0.32 fof(f275,plain,(
% 0.13/0.32 $false|~spl0_49),
% 0.13/0.32 inference(forward_subsumption_resolution,[status(thm)],[f274,f56])).
% 0.13/0.32 fof(f276,plain,(
% 0.13/0.32 ~spl0_49),
% 0.13/0.32 inference(contradiction_clause,[status(thm)],[f275])).
% 0.13/0.32 fof(f277,plain,(
% 0.13/0.32 spl0_50 <=> next(e_2,e_3)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f279,plain,(
% 0.13/0.32 ~next(e_2,e_3)|spl0_50),
% 0.13/0.32 inference(component_clause,[status(thm)],[f277])).
% 0.13/0.32 fof(f280,plain,(
% 0.13/0.32 ![X0]: (~next(e_2,e_3)|~next(e_0,X0)|equalish(e_2,X0)|~spl0_46)),
% 0.13/0.32 inference(resolution,[status(thm)],[f256,f43])).
% 0.13/0.32 fof(f281,plain,(
% 0.13/0.32 ~spl0_50|spl0_49|~spl0_46),
% 0.13/0.32 inference(split_clause,[status(thm)],[f280,f277,f269,f255])).
% 0.13/0.32 fof(f282,plain,(
% 0.13/0.32 $false|spl0_50),
% 0.13/0.32 inference(forward_subsumption_resolution,[status(thm)],[f279,f33])).
% 0.13/0.32 fof(f283,plain,(
% 0.13/0.32 spl0_50),
% 0.13/0.32 inference(contradiction_clause,[status(thm)],[f282])).
% 0.13/0.32 fof(f288,plain,(
% 0.13/0.32 spl0_52 <=> greater(e_1,e_0)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f290,plain,(
% 0.13/0.32 ~greater(e_1,e_0)|spl0_52),
% 0.13/0.32 inference(component_clause,[status(thm)],[f288])).
% 0.13/0.32 fof(f293,plain,(
% 0.13/0.32 ![X0,X1]: (~product(e_2,e_1,X0)|~greater(e_1,e_0)|~next(e_2,X1)|equalish(X0,X1)|~spl0_10)),
% 0.13/0.32 inference(resolution,[status(thm)],[f108,f50])).
% 0.13/0.32 fof(f294,plain,(
% 0.13/0.32 spl0_47|~spl0_52|~spl0_10),
% 0.13/0.32 inference(split_clause,[status(thm)],[f293,f260,f288,f107])).
% 0.13/0.32 fof(f296,plain,(
% 0.13/0.32 $false|spl0_52),
% 0.13/0.32 inference(forward_subsumption_resolution,[status(thm)],[f290,f34])).
% 0.13/0.32 fof(f297,plain,(
% 0.13/0.32 spl0_52),
% 0.13/0.32 inference(contradiction_clause,[status(thm)],[f296])).
% 0.13/0.32 fof(f302,plain,(
% 0.13/0.32 spl0_54 <=> ~next(e_1,X0)|equalish(e_1,X0)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f303,plain,(
% 0.13/0.32 ![X0]: (~next(e_1,X0)|equalish(e_1,X0)|~spl0_54)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f302])).
% 0.13/0.32 fof(f312,plain,(
% 0.13/0.32 equalish(e_1,e_2)|~spl0_54),
% 0.13/0.32 inference(resolution,[status(thm)],[f303,f32])).
% 0.13/0.32 fof(f313,plain,(
% 0.13/0.32 $false|~spl0_54),
% 0.13/0.32 inference(forward_subsumption_resolution,[status(thm)],[f312,f54])).
% 0.13/0.32 fof(f314,plain,(
% 0.13/0.32 ~spl0_54),
% 0.13/0.32 inference(contradiction_clause,[status(thm)],[f313])).
% 0.13/0.32 fof(f318,plain,(
% 0.13/0.32 spl0_57 <=> greater(e_3,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f320,plain,(
% 0.13/0.32 ~greater(e_3,e_2)|spl0_57),
% 0.13/0.32 inference(component_clause,[status(thm)],[f318])).
% 0.13/0.32 fof(f323,plain,(
% 0.13/0.32 $false|spl0_57),
% 0.13/0.32 inference(forward_subsumption_resolution,[status(thm)],[f320,f39])).
% 0.13/0.32 fof(f324,plain,(
% 0.13/0.32 spl0_57),
% 0.13/0.32 inference(contradiction_clause,[status(thm)],[f323])).
% 0.13/0.32 fof(f329,plain,(
% 0.13/0.32 spl0_59 <=> greater(e_2,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f334,plain,(
% 0.13/0.32 spl0_60 <=> ~cycle(X0,X1)|~next(e_2,X0)|~greater(e_0,X1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f335,plain,(
% 0.13/0.32 ![X0,X1]: (~cycle(X0,X1)|~next(e_2,X0)|~greater(e_0,X1)|~spl0_60)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f334])).
% 0.13/0.32 fof(f344,plain,(
% 0.13/0.32 ![X0,X1,X2]: (~cycle(X0,e_0)|~cycle(X1,X2)|~next(X0,X1)|~greater(X0,e_2)|~greater(e_0,X2)|~spl0_9)),
% 0.13/0.32 inference(resolution,[status(thm)],[f105,f47])).
% 0.13/0.32 fof(f407,plain,(
% 0.13/0.32 spl0_69 <=> greater(e_1,e_2)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f427,plain,(
% 0.13/0.32 ![X0,X1,X2]: (~cycle(X0,e_0)|~cycle(X1,X2)|~next(X0,X1)|~greater(X0,e_1)|~greater(e_0,X2)|~spl0_0)),
% 0.13/0.32 inference(resolution,[status(thm)],[f71,f47])).
% 0.13/0.32 fof(f467,plain,(
% 0.13/0.32 spl0_77 <=> greater(e_1,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f472,plain,(
% 0.13/0.32 spl0_78 <=> greater(e_3,e_1)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f474,plain,(
% 0.13/0.32 ~greater(e_3,e_1)|spl0_78),
% 0.13/0.32 inference(component_clause,[status(thm)],[f472])).
% 0.13/0.32 fof(f477,plain,(
% 0.13/0.32 $false|spl0_78),
% 0.13/0.32 inference(forward_subsumption_resolution,[status(thm)],[f474,f38])).
% 0.13/0.32 fof(f478,plain,(
% 0.13/0.32 spl0_78),
% 0.13/0.32 inference(contradiction_clause,[status(thm)],[f477])).
% 0.13/0.32 fof(f481,plain,(
% 0.13/0.32 ![X0,X1]: (~cycle(X0,X1)|~next(e_3,X0)|~greater(e_3,e_2)|~greater(e_0,X1)|~spl0_9)),
% 0.13/0.32 inference(resolution,[status(thm)],[f344,f43])).
% 0.13/0.32 fof(f482,plain,(
% 0.13/0.32 spl0_39|~spl0_57|~spl0_9),
% 0.13/0.32 inference(split_clause,[status(thm)],[f481,f220,f318,f104])).
% 0.13/0.32 fof(f500,plain,(
% 0.13/0.32 spl0_79 <=> ~next(e_2,X0)|equalish(e_1,X0)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f501,plain,(
% 0.13/0.32 ![X0]: (~next(e_2,X0)|equalish(e_1,X0)|~spl0_79)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f500])).
% 0.13/0.32 fof(f510,plain,(
% 0.13/0.32 spl0_81 <=> ~next(e_2,X0)|equalish(e_2,X0)),
% 0.13/0.32 introduced(split_symbol_definition)).
% 0.13/0.32 fof(f511,plain,(
% 0.13/0.32 ![X0]: (~next(e_2,X0)|equalish(e_2,X0)|~spl0_81)),
% 0.13/0.32 inference(component_clause,[status(thm)],[f510])).
% 0.13/0.32 fof(f521,plain,(
% 0.13/0.32 equalish(e_1,e_3)|~spl0_79),
% 0.13/0.32 inference(resolution,[status(thm)],[f501,f33])).
% 0.13/0.33 fof(f522,plain,(
% 0.13/0.33 $false|~spl0_79),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f521,f55])).
% 0.13/0.33 fof(f523,plain,(
% 0.13/0.33 ~spl0_79),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f522])).
% 0.13/0.33 fof(f525,plain,(
% 0.13/0.33 equalish(e_2,e_3)|~spl0_81),
% 0.13/0.33 inference(resolution,[status(thm)],[f511,f33])).
% 0.13/0.33 fof(f526,plain,(
% 0.13/0.33 $false|~spl0_81),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f525,f57])).
% 0.13/0.33 fof(f527,plain,(
% 0.13/0.33 ~spl0_81),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f526])).
% 0.13/0.33 fof(f531,plain,(
% 0.13/0.33 spl0_82 <=> next(e_1,e_2)),
% 0.13/0.33 introduced(split_symbol_definition)).
% 0.13/0.33 fof(f533,plain,(
% 0.13/0.33 ~next(e_1,e_2)|spl0_82),
% 0.13/0.33 inference(component_clause,[status(thm)],[f531])).
% 0.13/0.33 fof(f542,plain,(
% 0.13/0.33 $false|spl0_82),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f533,f32])).
% 0.13/0.33 fof(f543,plain,(
% 0.13/0.33 spl0_82),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f542])).
% 0.13/0.33 fof(f544,plain,(
% 0.13/0.33 ![X0]: (~next(e_1,X0)|equalish(e_3,X0)|~spl0_5|~spl0_45)),
% 0.13/0.33 inference(resolution,[status(thm)],[f88,f247])).
% 0.13/0.33 fof(f545,plain,(
% 0.13/0.33 ~cycle(e_1,e_0)|~greater(e_3,e_1)|~spl0_5),
% 0.13/0.33 inference(resolution,[status(thm)],[f88,f48])).
% 0.13/0.33 fof(f546,plain,(
% 0.13/0.33 ~spl0_0|~spl0_78|~spl0_5),
% 0.13/0.33 inference(split_clause,[status(thm)],[f545,f70,f472,f87])).
% 0.13/0.33 fof(f552,plain,(
% 0.13/0.33 ![X0]: (~product(e_1,X0,e_3)|equalish(e_2,X0)|~spl0_8)),
% 0.13/0.33 inference(resolution,[status(thm)],[f99,f64])).
% 0.13/0.33 fof(f556,plain,(
% 0.13/0.33 ~cycle(e_2,e_0)|~greater(e_3,e_2)|~spl0_17),
% 0.13/0.33 inference(resolution,[status(thm)],[f133,f48])).
% 0.13/0.33 fof(f557,plain,(
% 0.13/0.33 ~spl0_9|~spl0_57|~spl0_17),
% 0.13/0.33 inference(split_clause,[status(thm)],[f556,f104,f318,f132])).
% 0.13/0.33 fof(f558,plain,(
% 0.13/0.33 ![X0]: (~product(X0,e_1,e_3)|equalish(e_2,X0)|~spl0_17)),
% 0.13/0.33 inference(resolution,[status(thm)],[f133,f66])).
% 0.13/0.33 fof(f559,plain,(
% 0.13/0.33 ![X0]: (~product(e_2,X0,e_3)|equalish(e_1,X0)|~spl0_17)),
% 0.13/0.33 inference(resolution,[status(thm)],[f133,f64])).
% 0.13/0.33 fof(f561,plain,(
% 0.13/0.33 ![X0]: (~product(e_2,e_3,X0)|product(X0,e_1,e_2)|~spl0_17)),
% 0.13/0.33 inference(resolution,[status(thm)],[f133,f68])).
% 0.13/0.33 fof(f563,plain,(
% 0.13/0.33 ![X0]: (~next(e_2,X0)|equalish(e_2,X0)|~spl0_16|~spl0_47)),
% 0.13/0.33 inference(resolution,[status(thm)],[f130,f261])).
% 0.13/0.33 fof(f564,plain,(
% 0.13/0.33 spl0_81|~spl0_16|~spl0_47),
% 0.13/0.33 inference(split_clause,[status(thm)],[f563,f510,f129,f260])).
% 0.13/0.33 fof(f565,plain,(
% 0.13/0.33 ~cycle(e_2,e_0)|~greater(e_2,e_2)|~spl0_16),
% 0.13/0.33 inference(resolution,[status(thm)],[f130,f48])).
% 0.13/0.33 fof(f566,plain,(
% 0.13/0.33 ~spl0_9|~spl0_59|~spl0_16),
% 0.13/0.33 inference(split_clause,[status(thm)],[f565,f104,f329,f129])).
% 0.13/0.33 fof(f567,plain,(
% 0.13/0.33 ![X0]: (~product(X0,e_1,e_2)|equalish(e_2,X0)|~spl0_16)),
% 0.13/0.33 inference(resolution,[status(thm)],[f130,f66])).
% 0.13/0.33 fof(f571,plain,(
% 0.13/0.33 ![X0]: (~next(e_2,X0)|equalish(e_1,X0)|~spl0_15|~spl0_47)),
% 0.13/0.33 inference(resolution,[status(thm)],[f127,f261])).
% 0.13/0.33 fof(f572,plain,(
% 0.13/0.33 spl0_79|~spl0_15|~spl0_47),
% 0.13/0.33 inference(split_clause,[status(thm)],[f571,f500,f126,f260])).
% 0.13/0.33 fof(f573,plain,(
% 0.13/0.33 ~cycle(e_2,e_0)|~greater(e_1,e_2)|~spl0_15),
% 0.13/0.33 inference(resolution,[status(thm)],[f127,f48])).
% 0.13/0.33 fof(f574,plain,(
% 0.13/0.33 ~spl0_9|~spl0_69|~spl0_15),
% 0.13/0.33 inference(split_clause,[status(thm)],[f573,f104,f407,f126])).
% 0.13/0.33 fof(f576,plain,(
% 0.13/0.33 ![X0]: (~product(e_2,X0,e_1)|equalish(e_1,X0)|~spl0_15)),
% 0.13/0.33 inference(resolution,[status(thm)],[f127,f64])).
% 0.13/0.33 fof(f582,plain,(
% 0.13/0.33 ![X0]: (~product(X0,e_2,e_2)|equalish(e_2,X0)|~spl0_13)),
% 0.13/0.33 inference(resolution,[status(thm)],[f119,f66])).
% 0.13/0.33 fof(f584,plain,(
% 0.13/0.33 ![X0]: (~product(e_2,e_2,X0)|equalish(e_2,X0)|~spl0_13)),
% 0.13/0.33 inference(resolution,[status(thm)],[f119,f62])).
% 0.13/0.33 fof(f588,plain,(
% 0.13/0.33 equalish(e_2,e_1)|~spl0_12|~spl0_13),
% 0.13/0.33 inference(resolution,[status(thm)],[f116,f584])).
% 0.13/0.33 fof(f589,plain,(
% 0.13/0.33 $false|~spl0_12|~spl0_13),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f588,f56])).
% 0.13/0.33 fof(f590,plain,(
% 0.13/0.33 ~spl0_12|~spl0_13),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f589])).
% 0.13/0.33 fof(f591,plain,(
% 0.13/0.33 ![X0]: (~product(X0,e_2,e_1)|equalish(e_2,X0)|~spl0_12)),
% 0.13/0.33 inference(resolution,[status(thm)],[f116,f66])).
% 0.13/0.33 fof(f592,plain,(
% 0.13/0.33 ![X0]: (~product(e_2,X0,e_1)|equalish(e_2,X0)|~spl0_12)),
% 0.13/0.33 inference(resolution,[status(thm)],[f116,f64])).
% 0.13/0.33 fof(f595,plain,(
% 0.13/0.33 equalish(e_2,e_3)|~spl0_23|~spl0_8),
% 0.13/0.33 inference(resolution,[status(thm)],[f155,f552])).
% 0.13/0.33 fof(f596,plain,(
% 0.13/0.33 $false|~spl0_23|~spl0_8),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f595,f57])).
% 0.13/0.33 fof(f597,plain,(
% 0.13/0.33 ~spl0_23|~spl0_8),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f596])).
% 0.13/0.33 fof(f599,plain,(
% 0.13/0.33 ![X0]: (~product(X0,e_3,e_2)|equalish(e_1,X0)|~spl0_22)),
% 0.13/0.33 inference(resolution,[status(thm)],[f152,f66])).
% 0.13/0.33 fof(f600,plain,(
% 0.13/0.33 ![X0]: (~product(e_1,X0,e_2)|equalish(e_3,X0)|~spl0_22)),
% 0.13/0.33 inference(resolution,[status(thm)],[f152,f64])).
% 0.13/0.33 fof(f604,plain,(
% 0.13/0.33 ![X0]: (~product(e_1,X0,e_1)|equalish(e_3,X0)|~spl0_21)),
% 0.13/0.33 inference(resolution,[status(thm)],[f149,f64])).
% 0.13/0.33 fof(f606,plain,(
% 0.13/0.33 ![X0]: (~product(e_1,e_1,X0)|product(X0,e_3,e_1)|~spl0_21)),
% 0.13/0.33 inference(resolution,[status(thm)],[f149,f68])).
% 0.13/0.33 fof(f607,plain,(
% 0.13/0.33 equalish(e_1,e_3)|~spl0_20|~spl0_17),
% 0.13/0.33 inference(resolution,[status(thm)],[f144,f559])).
% 0.13/0.33 fof(f608,plain,(
% 0.13/0.33 $false|~spl0_20|~spl0_17),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f607,f55])).
% 0.13/0.33 fof(f609,plain,(
% 0.13/0.33 ~spl0_20|~spl0_17),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f608])).
% 0.13/0.33 fof(f610,plain,(
% 0.13/0.33 product(e_2,e_1,e_2)|~spl0_19|~spl0_17),
% 0.13/0.33 inference(resolution,[status(thm)],[f141,f561])).
% 0.13/0.33 fof(f611,plain,(
% 0.13/0.33 spl0_16|~spl0_19|~spl0_17),
% 0.13/0.33 inference(split_clause,[status(thm)],[f610,f129,f140,f132])).
% 0.13/0.33 fof(f612,plain,(
% 0.13/0.33 equalish(e_1,e_2)|~spl0_19|~spl0_22),
% 0.13/0.33 inference(resolution,[status(thm)],[f141,f599])).
% 0.13/0.33 fof(f613,plain,(
% 0.13/0.33 $false|~spl0_19|~spl0_22),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f612,f54])).
% 0.13/0.33 fof(f614,plain,(
% 0.13/0.33 ~spl0_19|~spl0_22),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f613])).
% 0.13/0.33 fof(f615,plain,(
% 0.13/0.33 product(e_1,e_1,e_2)|~spl0_18|~spl0_17),
% 0.13/0.33 inference(resolution,[status(thm)],[f138,f561])).
% 0.13/0.33 fof(f616,plain,(
% 0.13/0.33 equalish(e_2,e_3)|~spl0_18|~spl0_12),
% 0.13/0.33 inference(resolution,[status(thm)],[f138,f592])).
% 0.13/0.33 fof(f617,plain,(
% 0.13/0.33 $false|~spl0_18|~spl0_12),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f616,f57])).
% 0.13/0.33 fof(f618,plain,(
% 0.13/0.33 ~spl0_18|~spl0_12),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f617])).
% 0.13/0.33 fof(f626,plain,(
% 0.13/0.33 spl0_83 <=> greater(e_2,e_1)),
% 0.13/0.33 introduced(split_symbol_definition)).
% 0.13/0.33 fof(f628,plain,(
% 0.13/0.33 ~greater(e_2,e_1)|spl0_83),
% 0.13/0.33 inference(component_clause,[status(thm)],[f626])).
% 0.13/0.33 fof(f631,plain,(
% 0.13/0.33 ![X0]: (~product(X0,e_1,e_2)|equalish(e_1,X0)|~spl0_18|~spl0_17)),
% 0.13/0.33 inference(resolution,[status(thm)],[f615,f66])).
% 0.13/0.33 fof(f633,plain,(
% 0.13/0.33 ![X0]: (~product(e_1,e_1,X0)|equalish(e_2,X0)|~spl0_18|~spl0_17)),
% 0.13/0.33 inference(resolution,[status(thm)],[f615,f62])).
% 0.13/0.33 fof(f635,plain,(
% 0.13/0.33 $false|spl0_83),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f628,f37])).
% 0.13/0.33 fof(f636,plain,(
% 0.13/0.33 spl0_83),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f635])).
% 0.13/0.33 fof(f661,plain,(
% 0.13/0.33 equalish(e_2,e_3)|~spl0_35|~spl0_17),
% 0.13/0.33 inference(resolution,[status(thm)],[f200,f558])).
% 0.13/0.33 fof(f662,plain,(
% 0.13/0.33 $false|~spl0_35|~spl0_17),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f661,f57])).
% 0.13/0.33 fof(f663,plain,(
% 0.13/0.33 ~spl0_35|~spl0_17),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f662])).
% 0.13/0.33 fof(f665,plain,(
% 0.13/0.33 equalish(e_1,e_3)|~spl0_34|~spl0_18|~spl0_17),
% 0.13/0.33 inference(resolution,[status(thm)],[f197,f631])).
% 0.13/0.33 fof(f666,plain,(
% 0.13/0.33 $false|~spl0_34|~spl0_18|~spl0_17),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f665,f55])).
% 0.13/0.33 fof(f667,plain,(
% 0.13/0.33 ~spl0_34|~spl0_18|~spl0_17),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f666])).
% 0.13/0.33 fof(f674,plain,(
% 0.13/0.33 ![X0]: (~product(e_3,e_1,X0)|product(X0,e_1,e_3)|~spl0_33)),
% 0.13/0.33 inference(resolution,[status(thm)],[f194,f68])).
% 0.13/0.33 fof(f675,plain,(
% 0.13/0.33 product(e_1,e_1,e_3)|~spl0_33),
% 0.13/0.33 inference(resolution,[status(thm)],[f674,f194])).
% 0.13/0.33 fof(f675,plain,(
% 0.13/0.33 product(e_1,e_1,e_3)|~spl0_33),
% 0.13/0.33 inference(resolution,[status(thm)],[f674,f194])).
% 0.13/0.33 fof(f676,plain,(
% 0.13/0.33 equalish(e_2,e_3)|~spl0_33|~spl0_18|~spl0_17),
% 0.13/0.33 inference(resolution,[status(thm)],[f675,f633])).
% 0.13/0.33 fof(f677,plain,(
% 0.13/0.33 $false|~spl0_33|~spl0_18|~spl0_17),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f676,f57])).
% 0.13/0.33 fof(f678,plain,(
% 0.13/0.33 ~spl0_33|~spl0_18|~spl0_17),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f677])).
% 0.13/0.33 fof(f683,plain,(
% 0.13/0.33 ![X0]: (~product(e_3,X0,e_2)|equalish(e_1,X0)|~spl0_34)),
% 0.13/0.33 inference(resolution,[status(thm)],[f197,f64])).
% 0.13/0.33 fof(f684,plain,(
% 0.13/0.33 ![X0]: (~product(e_3,e_1,X0)|equalish(e_2,X0)|~spl0_34)),
% 0.13/0.33 inference(resolution,[status(thm)],[f197,f62])).
% 0.13/0.33 fof(f685,plain,(
% 0.13/0.33 ![X0]: (~product(e_3,e_2,X0)|product(X0,e_1,e_3)|~spl0_34)),
% 0.13/0.33 inference(resolution,[status(thm)],[f197,f68])).
% 0.13/0.33 fof(f686,plain,(
% 0.13/0.33 equalish(e_1,e_3)|~spl0_15|~spl0_18),
% 0.13/0.33 inference(resolution,[status(thm)],[f576,f138])).
% 0.13/0.33 fof(f687,plain,(
% 0.13/0.33 $false|~spl0_15|~spl0_18),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f686,f55])).
% 0.13/0.33 fof(f688,plain,(
% 0.13/0.33 ~spl0_15|~spl0_18),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f687])).
% 0.13/0.33 fof(f690,plain,(
% 0.13/0.33 ![X0]: (~product(e_2,X0,e_2)|equalish(e_3,X0)|~spl0_19)),
% 0.13/0.33 inference(resolution,[status(thm)],[f141,f64])).
% 0.13/0.33 fof(f702,plain,(
% 0.13/0.33 ![X0]: (~next(e_1,e_2)|~next(e_0,X0)|equalish(e_2,X0)|~spl0_9|~spl0_43)),
% 0.13/0.33 inference(resolution,[status(thm)],[f105,f239])).
% 0.13/0.33 fof(f703,plain,(
% 0.13/0.33 ~spl0_82|spl0_49|~spl0_9|~spl0_43),
% 0.13/0.33 inference(split_clause,[status(thm)],[f702,f531,f269,f104,f238])).
% 0.13/0.33 fof(f710,plain,(
% 0.13/0.33 spl0_5|~spl0_33),
% 0.13/0.33 inference(split_clause,[status(thm)],[f675,f87,f193])).
% 0.13/0.33 fof(f718,plain,(
% 0.13/0.33 $false|spl0_24),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f162,f43])).
% 0.13/0.33 fof(f719,plain,(
% 0.13/0.33 spl0_24),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f718])).
% 0.13/0.33 fof(f735,plain,(
% 0.13/0.33 ![X0,X1]: (~cycle(X0,X1)|~next(e_2,X0)|~greater(e_2,e_1)|~greater(e_0,X1)|~spl0_0|~spl0_9)),
% 0.13/0.33 inference(resolution,[status(thm)],[f427,f105])).
% 0.13/0.33 fof(f736,plain,(
% 0.13/0.33 spl0_60|~spl0_83|~spl0_0|~spl0_9),
% 0.13/0.33 inference(split_clause,[status(thm)],[f735,f334,f626,f70,f104])).
% 0.13/0.33 fof(f756,plain,(
% 0.13/0.33 product(e_3,e_1,e_3)|~spl0_32|~spl0_34),
% 0.13/0.33 inference(resolution,[status(thm)],[f189,f685])).
% 0.13/0.33 fof(f758,plain,(
% 0.13/0.33 ![X0]: (~product(e_3,X0,e_3)|equalish(e_2,X0)|~spl0_32)),
% 0.13/0.33 inference(resolution,[status(thm)],[f189,f64])).
% 0.13/0.33 fof(f761,plain,(
% 0.13/0.33 equalish(e_2,e_3)|~spl0_32|~spl0_34),
% 0.13/0.33 inference(resolution,[status(thm)],[f756,f684])).
% 0.13/0.33 fof(f762,plain,(
% 0.13/0.33 $false|~spl0_32|~spl0_34),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f761,f57])).
% 0.13/0.33 fof(f763,plain,(
% 0.13/0.33 ~spl0_32|~spl0_34),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f762])).
% 0.13/0.33 fof(f766,plain,(
% 0.13/0.33 equalish(e_1,e_2)|~spl0_31|~spl0_34),
% 0.13/0.33 inference(resolution,[status(thm)],[f186,f683])).
% 0.13/0.33 fof(f767,plain,(
% 0.13/0.33 $false|~spl0_31|~spl0_34),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f766,f54])).
% 0.13/0.33 fof(f768,plain,(
% 0.13/0.33 ~spl0_31|~spl0_34),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f767])).
% 0.13/0.33 fof(f769,plain,(
% 0.13/0.33 product(e_1,e_1,e_3)|~spl0_30|~spl0_34),
% 0.13/0.33 inference(resolution,[status(thm)],[f183,f685])).
% 0.13/0.33 fof(f770,plain,(
% 0.13/0.33 spl0_5|~spl0_30|~spl0_34),
% 0.13/0.33 inference(split_clause,[status(thm)],[f769,f87,f182,f196])).
% 0.13/0.33 fof(f774,plain,(
% 0.13/0.33 ![X0]: (~product(e_3,e_1,X0)|product(X0,e_2,e_3)|~spl0_30)),
% 0.13/0.33 inference(resolution,[status(thm)],[f183,f68])).
% 0.13/0.33 fof(f778,plain,(
% 0.13/0.33 ![X0]: (~product(e_3,X0,e_3)|equalish(e_1,X0)|~spl0_35)),
% 0.13/0.33 inference(resolution,[status(thm)],[f200,f64])).
% 0.13/0.33 fof(f780,plain,(
% 0.13/0.33 ![X0]: (~product(e_3,e_3,X0)|product(X0,e_1,e_3)|~spl0_35)),
% 0.13/0.33 inference(resolution,[status(thm)],[f200,f68])).
% 0.13/0.33 fof(f791,plain,(
% 0.13/0.33 ![X0,X1]: (~product(e_1,e_1,X0)|~greater(e_1,e_0)|~next(e_1,X1)|equalish(X0,X1)|~spl0_1)),
% 0.13/0.33 inference(resolution,[status(thm)],[f74,f50])).
% 0.13/0.33 fof(f792,plain,(
% 0.13/0.33 spl0_45|~spl0_52|~spl0_1),
% 0.13/0.33 inference(split_clause,[status(thm)],[f791,f246,f288,f73])).
% 0.13/0.33 fof(f795,plain,(
% 0.13/0.33 equalish(e_1,e_3)|~spl0_29|~spl0_35),
% 0.13/0.33 inference(resolution,[status(thm)],[f178,f778])).
% 0.13/0.33 fof(f796,plain,(
% 0.13/0.33 $false|~spl0_29|~spl0_35),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f795,f55])).
% 0.13/0.33 fof(f797,plain,(
% 0.13/0.33 ~spl0_29|~spl0_35),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f796])).
% 0.13/0.33 fof(f809,plain,(
% 0.13/0.33 ![X0]: (~next(e_1,X0)|equalish(e_1,X0)|~spl0_3|~spl0_45)),
% 0.13/0.33 inference(resolution,[status(thm)],[f82,f247])).
% 0.13/0.33 fof(f810,plain,(
% 0.13/0.33 spl0_54|~spl0_3|~spl0_45),
% 0.13/0.33 inference(split_clause,[status(thm)],[f809,f302,f81,f246])).
% 0.13/0.33 fof(f811,plain,(
% 0.13/0.33 equalish(e_3,e_1)|~spl0_3|~spl0_21),
% 0.13/0.33 inference(resolution,[status(thm)],[f82,f604])).
% 0.13/0.33 fof(f812,plain,(
% 0.13/0.33 $false|~spl0_3|~spl0_21),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f811,f58])).
% 0.13/0.33 fof(f813,plain,(
% 0.13/0.33 ~spl0_3|~spl0_21),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f812])).
% 0.13/0.33 fof(f814,plain,(
% 0.13/0.33 equalish(e_3,e_2)|~spl0_5|~spl0_45),
% 0.13/0.33 inference(resolution,[status(thm)],[f544,f32])).
% 0.13/0.33 fof(f815,plain,(
% 0.13/0.33 $false|~spl0_5|~spl0_45),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f814,f59])).
% 0.13/0.33 fof(f816,plain,(
% 0.13/0.33 ~spl0_5|~spl0_45),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f815])).
% 0.13/0.33 fof(f819,plain,(
% 0.13/0.33 equalish(e_3,e_2)|~spl0_13|~spl0_19),
% 0.13/0.33 inference(resolution,[status(thm)],[f119,f690])).
% 0.13/0.33 fof(f820,plain,(
% 0.13/0.33 $false|~spl0_13|~spl0_19),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f819,f59])).
% 0.13/0.33 fof(f821,plain,(
% 0.13/0.33 ~spl0_13|~spl0_19),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f820])).
% 0.13/0.33 fof(f822,plain,(
% 0.13/0.33 equalish(e_2,e_3)|~spl0_12|~spl0_30),
% 0.13/0.33 inference(resolution,[status(thm)],[f591,f183])).
% 0.13/0.33 fof(f823,plain,(
% 0.13/0.33 $false|~spl0_12|~spl0_30),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f822,f57])).
% 0.13/0.33 fof(f824,plain,(
% 0.13/0.33 ~spl0_12|~spl0_30),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f823])).
% 0.13/0.33 fof(f825,plain,(
% 0.13/0.33 ![X0]: (~product(X0,e_2,e_2)|equalish(e_3,X0)|~spl0_31)),
% 0.13/0.33 inference(resolution,[status(thm)],[f186,f66])).
% 0.13/0.33 fof(f842,plain,(
% 0.13/0.33 ~next(e_2,e_3)|~greater(e_0,e_0)|~spl0_60),
% 0.13/0.33 inference(resolution,[status(thm)],[f335,f43])).
% 0.13/0.33 fof(f843,plain,(
% 0.13/0.33 ~spl0_50|~spl0_37|~spl0_60),
% 0.13/0.33 inference(split_clause,[status(thm)],[f842,f277,f208,f334])).
% 0.13/0.33 fof(f855,plain,(
% 0.13/0.33 equalish(e_2,e_1)|~spl0_15|~spl0_12),
% 0.13/0.33 inference(resolution,[status(thm)],[f127,f592])).
% 0.13/0.33 fof(f856,plain,(
% 0.13/0.33 $false|~spl0_15|~spl0_12),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f855,f56])).
% 0.13/0.33 fof(f857,plain,(
% 0.13/0.33 ~spl0_15|~spl0_12),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f856])).
% 0.13/0.33 fof(f869,plain,(
% 0.13/0.33 equalish(e_2,e_3)|~spl0_31|~spl0_13),
% 0.13/0.33 inference(resolution,[status(thm)],[f186,f582])).
% 0.13/0.33 fof(f870,plain,(
% 0.13/0.33 $false|~spl0_31|~spl0_13),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f869,f57])).
% 0.13/0.33 fof(f871,plain,(
% 0.13/0.33 ~spl0_31|~spl0_13),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f870])).
% 0.13/0.33 fof(f872,plain,(
% 0.13/0.33 product(e_1,e_1,e_3)|~spl0_27|~spl0_35),
% 0.13/0.33 inference(resolution,[status(thm)],[f172,f780])).
% 0.13/0.33 fof(f873,plain,(
% 0.13/0.33 spl0_5|~spl0_27|~spl0_35),
% 0.13/0.33 inference(split_clause,[status(thm)],[f872,f87,f171,f199])).
% 0.13/0.33 fof(f877,plain,(
% 0.13/0.33 product(e_2,e_3,e_1)|~spl0_4|~spl0_21),
% 0.13/0.33 inference(resolution,[status(thm)],[f85,f606])).
% 0.13/0.33 fof(f878,plain,(
% 0.13/0.33 spl0_18|~spl0_4|~spl0_21),
% 0.13/0.33 inference(split_clause,[status(thm)],[f877,f137,f84,f148])).
% 0.13/0.33 fof(f880,plain,(
% 0.13/0.33 equalish(e_2,e_1)|~spl0_4|~spl0_16),
% 0.13/0.33 inference(resolution,[status(thm)],[f85,f567])).
% 0.13/0.33 fof(f881,plain,(
% 0.13/0.33 $false|~spl0_4|~spl0_16),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f880,f56])).
% 0.13/0.33 fof(f882,plain,(
% 0.13/0.33 ~spl0_4|~spl0_16),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f881])).
% 0.13/0.33 fof(f883,plain,(
% 0.13/0.33 ~cycle(e_1,e_0)|~greater(e_2,e_1)|~spl0_4),
% 0.13/0.33 inference(resolution,[status(thm)],[f85,f48])).
% 0.13/0.33 fof(f884,plain,(
% 0.13/0.33 ~spl0_0|~spl0_83|~spl0_4),
% 0.13/0.33 inference(split_clause,[status(thm)],[f883,f70,f626,f84])).
% 0.13/0.33 fof(f886,plain,(
% 0.13/0.33 ![X0]: (~product(e_1,X0,e_2)|equalish(e_1,X0)|~spl0_4)),
% 0.13/0.33 inference(resolution,[status(thm)],[f85,f64])).
% 0.13/0.33 fof(f903,plain,(
% 0.13/0.33 product(e_3,e_2,e_3)|~spl0_30|~spl0_35),
% 0.13/0.33 inference(resolution,[status(thm)],[f774,f200])).
% 0.13/0.33 fof(f904,plain,(
% 0.13/0.33 equalish(e_1,e_2)|~spl0_30|~spl0_35),
% 0.13/0.33 inference(resolution,[status(thm)],[f903,f778])).
% 0.13/0.33 fof(f905,plain,(
% 0.13/0.33 $false|~spl0_30|~spl0_35),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f904,f54])).
% 0.13/0.33 fof(f906,plain,(
% 0.13/0.33 ~spl0_30|~spl0_35),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f905])).
% 0.13/0.33 fof(f913,plain,(
% 0.13/0.33 equalish(e_3,e_1)|~spl0_22|~spl0_4),
% 0.13/0.33 inference(resolution,[status(thm)],[f600,f85])).
% 0.13/0.33 fof(f914,plain,(
% 0.13/0.33 $false|~spl0_22|~spl0_4),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f913,f58])).
% 0.13/0.33 fof(f915,plain,(
% 0.13/0.33 ~spl0_22|~spl0_4),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f914])).
% 0.13/0.33 fof(f918,plain,(
% 0.13/0.33 equalish(e_1,e_2)|~spl0_7|~spl0_4),
% 0.13/0.33 inference(resolution,[status(thm)],[f96,f886])).
% 0.13/0.33 fof(f919,plain,(
% 0.13/0.33 $false|~spl0_7|~spl0_4),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f918,f54])).
% 0.13/0.33 fof(f920,plain,(
% 0.13/0.33 ~spl0_7|~spl0_4),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f919])).
% 0.13/0.33 fof(f924,plain,(
% 0.13/0.33 ![X0]: (~product(e_1,e_1,X0)|product(X0,e_2,e_1)|~spl0_6)),
% 0.13/0.33 inference(resolution,[status(thm)],[f93,f68])).
% 0.13/0.33 fof(f925,plain,(
% 0.13/0.33 product(e_2,e_2,e_1)|~spl0_6|~spl0_4),
% 0.13/0.33 inference(resolution,[status(thm)],[f924,f85])).
% 0.13/0.33 fof(f926,plain,(
% 0.13/0.33 spl0_12|~spl0_6|~spl0_4),
% 0.13/0.33 inference(split_clause,[status(thm)],[f925,f115,f92,f84])).
% 0.13/0.33 fof(f927,plain,(
% 0.13/0.33 ~cycle(e_1,e_0)|~greater(e_1,e_1)|~spl0_3),
% 0.13/0.33 inference(resolution,[status(thm)],[f82,f48])).
% 0.13/0.33 fof(f928,plain,(
% 0.13/0.33 ~spl0_0|~spl0_77|~spl0_3),
% 0.13/0.33 inference(split_clause,[status(thm)],[f927,f70,f467,f81])).
% 0.13/0.33 fof(f942,plain,(
% 0.13/0.33 equalish(e_2,e_1)|~spl0_32|~spl0_35),
% 0.13/0.33 inference(resolution,[status(thm)],[f758,f200])).
% 0.13/0.33 fof(f943,plain,(
% 0.13/0.33 $false|~spl0_32|~spl0_35),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f942,f56])).
% 0.13/0.33 fof(f944,plain,(
% 0.13/0.33 ~spl0_32|~spl0_35),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f943])).
% 0.13/0.33 fof(f945,plain,(
% 0.13/0.33 equalish(e_3,e_1)|~spl0_7|~spl0_31),
% 0.13/0.33 inference(resolution,[status(thm)],[f96,f825])).
% 0.13/0.33 fof(f946,plain,(
% 0.13/0.33 $false|~spl0_7|~spl0_31),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f945,f58])).
% 0.13/0.33 fof(f947,plain,(
% 0.13/0.33 ~spl0_7|~spl0_31),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f946])).
% 0.13/0.33 fof(f963,plain,(
% 0.13/0.33 product(e_2,e_1,e_3)|~spl0_28|~spl0_35),
% 0.13/0.33 inference(resolution,[status(thm)],[f175,f780])).
% 0.13/0.33 fof(f964,plain,(
% 0.13/0.33 spl0_17|~spl0_28|~spl0_35),
% 0.13/0.33 inference(split_clause,[status(thm)],[f963,f132,f174,f199])).
% 0.13/0.33 fof(f965,plain,(
% 0.13/0.33 equalish(e_1,e_3)|~spl0_28|~spl0_22),
% 0.13/0.33 inference(resolution,[status(thm)],[f175,f599])).
% 0.13/0.33 fof(f966,plain,(
% 0.13/0.33 $false|~spl0_28|~spl0_22),
% 0.13/0.33 inference(forward_subsumption_resolution,[status(thm)],[f965,f55])).
% 0.13/0.33 fof(f967,plain,(
% 0.13/0.33 ~spl0_28|~spl0_22),
% 0.13/0.33 inference(contradiction_clause,[status(thm)],[f966])).
% 0.13/0.33 fof(f968,plain,(
% 0.13/0.33 $false),
% 0.13/0.33 inference(sat_refutation,[status(thm)],[f80,f91,f102,f114,f125,f136,f147,f158,f181,f192,f203,f245,f253,f259,f276,f281,f283,f294,f297,f314,f324,f478,f482,f523,f527,f543,f546,f557,f564,f566,f572,f574,f590,f597,f609,f611,f614,f618,f636,f663,f667,f678,f688,f703,f710,f719,f736,f763,f768,f770,f792,f797,f810,f813,f816,f821,f824,f843,f857,f871,f873,f878,f882,f884,f906,f915,f920,f926,f928,f944,f947,f964,f967])).
% 0.13/0.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.33 % Elapsed time: 0.050127 seconds
% 0.13/0.33 % CPU time: 0.316332 seconds
% 0.13/0.33 % Memory used: 4.802 MB
%------------------------------------------------------------------------------