TSTP Solution File: GRP284-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP284-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:19:58 EDT 2024
% Result : Unsatisfiable 0.20s 0.45s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP284-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n029.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 Apr 30 00:43:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.20/0.45 % Refutation found
% 0.20/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.20/0.45 fof(f1,axiom,(
% 0.20/0.45 (![X]: (multiply(identity,X) = X ))),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f2,axiom,(
% 0.20/0.45 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f3,axiom,(
% 0.20/0.45 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f4,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f5,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f6,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c7,sk_c6) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f9,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f10,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f11,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f12,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f13,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f14,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f15,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f16,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f17,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f18,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f19,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f20,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f21,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f22,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c2,sk_c7) = sk_c5| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f23,negated_conjecture,(
% 0.20/0.45 ( multiply(sk_c2,sk_c7) = sk_c5| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f24,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c2) = sk_c7| multiply(sk_c6,sk_c7) = sk_c5 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f25,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f26,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f27,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f28,negated_conjecture,(
% 0.20/0.45 ( inverse(sk_c2) = sk_c7| multiply(sk_c4,sk_c5) = sk_c6 ) ),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f29,negated_conjecture,(
% 0.20/0.45 (![X3,X4,X1,X2]: (( multiply(sk_c7,sk_c6) != sk_c5| multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c7) != sk_c5| inverse(X4) != sk_c7| multiply(sk_c6,sk_c7) != sk_c5| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| inverse(X2) != sk_c6| multiply(X2,sk_c5) != sk_c6 ) ))),
% 0.20/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.20/0.45 fof(f30,plain,(
% 0.20/0.45 ![X0]: (multiply(identity,X0)=X0)),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f1])).
% 0.20/0.45 fof(f31,plain,(
% 0.20/0.45 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f2])).
% 0.20/0.45 fof(f32,plain,(
% 0.20/0.45 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f3])).
% 0.20/0.45 fof(f33,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f4])).
% 0.20/0.45 fof(f34,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c6)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f5])).
% 0.20/0.45 fof(f35,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c6)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f6])).
% 0.20/0.45 fof(f38,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f9])).
% 0.20/0.45 fof(f39,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f10])).
% 0.20/0.45 fof(f40,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f11])).
% 0.20/0.45 fof(f41,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f12])).
% 0.20/0.45 fof(f42,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f13])).
% 0.20/0.45 fof(f43,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f14])).
% 0.20/0.45 fof(f44,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f15])).
% 0.20/0.45 fof(f45,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f16])).
% 0.20/0.45 fof(f46,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f17])).
% 0.20/0.45 fof(f47,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f18])).
% 0.20/0.45 fof(f48,plain,(
% 0.20/0.45 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f19])).
% 0.20/0.45 fof(f49,plain,(
% 0.20/0.45 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c3)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f20])).
% 0.20/0.45 fof(f50,plain,(
% 0.20/0.45 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f21])).
% 0.20/0.45 fof(f51,plain,(
% 0.20/0.45 multiply(sk_c2,sk_c7)=sk_c5|inverse(sk_c4)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f22])).
% 0.20/0.45 fof(f52,plain,(
% 0.20/0.45 multiply(sk_c2,sk_c7)=sk_c5|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f23])).
% 0.20/0.45 fof(f53,plain,(
% 0.20/0.45 inverse(sk_c2)=sk_c7|multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f24])).
% 0.20/0.45 fof(f54,plain,(
% 0.20/0.45 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f25])).
% 0.20/0.45 fof(f55,plain,(
% 0.20/0.45 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f26])).
% 0.20/0.45 fof(f56,plain,(
% 0.20/0.45 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f27])).
% 0.20/0.45 fof(f57,plain,(
% 0.20/0.45 inverse(sk_c2)=sk_c7|multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f28])).
% 0.20/0.45 fof(f58,plain,(
% 0.20/0.45 ![X2]: (((![X1]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X3,sk_c7)=sk_c6)|~inverse(X3)=sk_c7))|~multiply(X4,sk_c7)=sk_c5)|~inverse(X4)=sk_c7))|~multiply(sk_c6,sk_c7)=sk_c5)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~inverse(X2)=sk_c6)|~multiply(X2,sk_c5)=sk_c6)),
% 0.20/0.45 inference(miniscoping,[status(esa)],[f29])).
% 0.20/0.45 fof(f59,plain,(
% 0.20/0.45 ![X0,X1,X2,X3]: (~multiply(sk_c7,sk_c6)=sk_c5|~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c7)=sk_c5|~inverse(X1)=sk_c7|~multiply(sk_c6,sk_c7)=sk_c5|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6)),
% 0.20/0.45 inference(cnf_transformation,[status(esa)],[f58])).
% 0.20/0.45 fof(f60,plain,(
% 0.20/0.45 spl0_0 <=> multiply(sk_c7,sk_c6)=sk_c5),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f61,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c6)=sk_c5|~spl0_0),
% 0.20/0.45 inference(component_clause,[status(thm)],[f60])).
% 0.20/0.45 fof(f63,plain,(
% 0.20/0.45 spl0_1 <=> multiply(sk_c6,sk_c7)=sk_c5),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f64,plain,(
% 0.20/0.45 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1),
% 0.20/0.45 inference(component_clause,[status(thm)],[f63])).
% 0.20/0.45 fof(f65,plain,(
% 0.20/0.45 ~multiply(sk_c6,sk_c7)=sk_c5|spl0_1),
% 0.20/0.45 inference(component_clause,[status(thm)],[f63])).
% 0.20/0.45 fof(f66,plain,(
% 0.20/0.45 spl0_0|spl0_1),
% 0.20/0.45 inference(split_clause,[status(thm)],[f33,f60,f63])).
% 0.20/0.45 fof(f67,plain,(
% 0.20/0.45 spl0_2 <=> inverse(sk_c3)=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f68,plain,(
% 0.20/0.45 inverse(sk_c3)=sk_c7|~spl0_2),
% 0.20/0.45 inference(component_clause,[status(thm)],[f67])).
% 0.20/0.45 fof(f70,plain,(
% 0.20/0.45 spl0_0|spl0_2),
% 0.20/0.45 inference(split_clause,[status(thm)],[f34,f60,f67])).
% 0.20/0.45 fof(f71,plain,(
% 0.20/0.45 spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f72,plain,(
% 0.20/0.45 multiply(sk_c3,sk_c6)=sk_c7|~spl0_3),
% 0.20/0.45 inference(component_clause,[status(thm)],[f71])).
% 0.20/0.45 fof(f74,plain,(
% 0.20/0.45 spl0_0|spl0_3),
% 0.20/0.45 inference(split_clause,[status(thm)],[f35,f60,f71])).
% 0.20/0.45 fof(f75,plain,(
% 0.20/0.45 spl0_4 <=> inverse(sk_c4)=sk_c6),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f76,plain,(
% 0.20/0.45 inverse(sk_c4)=sk_c6|~spl0_4),
% 0.20/0.45 inference(component_clause,[status(thm)],[f75])).
% 0.20/0.45 fof(f79,plain,(
% 0.20/0.45 spl0_5 <=> multiply(sk_c4,sk_c5)=sk_c6),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f80,plain,(
% 0.20/0.45 multiply(sk_c4,sk_c5)=sk_c6|~spl0_5),
% 0.20/0.45 inference(component_clause,[status(thm)],[f79])).
% 0.20/0.45 fof(f83,plain,(
% 0.20/0.45 spl0_6 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f84,plain,(
% 0.20/0.45 multiply(sk_c1,sk_c7)=sk_c6|~spl0_6),
% 0.20/0.45 inference(component_clause,[status(thm)],[f83])).
% 0.20/0.45 fof(f86,plain,(
% 0.20/0.45 spl0_6|spl0_1),
% 0.20/0.45 inference(split_clause,[status(thm)],[f38,f83,f63])).
% 0.20/0.45 fof(f87,plain,(
% 0.20/0.45 spl0_6|spl0_2),
% 0.20/0.45 inference(split_clause,[status(thm)],[f39,f83,f67])).
% 0.20/0.45 fof(f88,plain,(
% 0.20/0.45 spl0_6|spl0_3),
% 0.20/0.45 inference(split_clause,[status(thm)],[f40,f83,f71])).
% 0.20/0.45 fof(f89,plain,(
% 0.20/0.45 spl0_6|spl0_4),
% 0.20/0.45 inference(split_clause,[status(thm)],[f41,f83,f75])).
% 0.20/0.45 fof(f90,plain,(
% 0.20/0.45 spl0_6|spl0_5),
% 0.20/0.45 inference(split_clause,[status(thm)],[f42,f83,f79])).
% 0.20/0.45 fof(f91,plain,(
% 0.20/0.45 spl0_7 <=> inverse(sk_c1)=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f92,plain,(
% 0.20/0.45 inverse(sk_c1)=sk_c7|~spl0_7),
% 0.20/0.45 inference(component_clause,[status(thm)],[f91])).
% 0.20/0.45 fof(f94,plain,(
% 0.20/0.45 spl0_7|spl0_1),
% 0.20/0.45 inference(split_clause,[status(thm)],[f43,f91,f63])).
% 0.20/0.45 fof(f95,plain,(
% 0.20/0.45 spl0_7|spl0_2),
% 0.20/0.45 inference(split_clause,[status(thm)],[f44,f91,f67])).
% 0.20/0.45 fof(f96,plain,(
% 0.20/0.45 spl0_7|spl0_3),
% 0.20/0.45 inference(split_clause,[status(thm)],[f45,f91,f71])).
% 0.20/0.45 fof(f97,plain,(
% 0.20/0.45 spl0_7|spl0_4),
% 0.20/0.45 inference(split_clause,[status(thm)],[f46,f91,f75])).
% 0.20/0.45 fof(f98,plain,(
% 0.20/0.45 spl0_7|spl0_5),
% 0.20/0.45 inference(split_clause,[status(thm)],[f47,f91,f79])).
% 0.20/0.45 fof(f99,plain,(
% 0.20/0.45 spl0_8 <=> multiply(sk_c2,sk_c7)=sk_c5),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f100,plain,(
% 0.20/0.45 multiply(sk_c2,sk_c7)=sk_c5|~spl0_8),
% 0.20/0.45 inference(component_clause,[status(thm)],[f99])).
% 0.20/0.45 fof(f102,plain,(
% 0.20/0.45 spl0_8|spl0_1),
% 0.20/0.45 inference(split_clause,[status(thm)],[f48,f99,f63])).
% 0.20/0.45 fof(f103,plain,(
% 0.20/0.45 spl0_8|spl0_2),
% 0.20/0.45 inference(split_clause,[status(thm)],[f49,f99,f67])).
% 0.20/0.45 fof(f104,plain,(
% 0.20/0.45 spl0_8|spl0_3),
% 0.20/0.45 inference(split_clause,[status(thm)],[f50,f99,f71])).
% 0.20/0.45 fof(f105,plain,(
% 0.20/0.45 spl0_8|spl0_4),
% 0.20/0.45 inference(split_clause,[status(thm)],[f51,f99,f75])).
% 0.20/0.45 fof(f106,plain,(
% 0.20/0.45 spl0_8|spl0_5),
% 0.20/0.45 inference(split_clause,[status(thm)],[f52,f99,f79])).
% 0.20/0.45 fof(f107,plain,(
% 0.20/0.45 spl0_9 <=> inverse(sk_c2)=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f108,plain,(
% 0.20/0.45 inverse(sk_c2)=sk_c7|~spl0_9),
% 0.20/0.45 inference(component_clause,[status(thm)],[f107])).
% 0.20/0.45 fof(f110,plain,(
% 0.20/0.45 spl0_9|spl0_1),
% 0.20/0.45 inference(split_clause,[status(thm)],[f53,f107,f63])).
% 0.20/0.45 fof(f111,plain,(
% 0.20/0.45 spl0_9|spl0_2),
% 0.20/0.45 inference(split_clause,[status(thm)],[f54,f107,f67])).
% 0.20/0.45 fof(f112,plain,(
% 0.20/0.45 spl0_9|spl0_3),
% 0.20/0.45 inference(split_clause,[status(thm)],[f55,f107,f71])).
% 0.20/0.45 fof(f113,plain,(
% 0.20/0.45 spl0_9|spl0_4),
% 0.20/0.45 inference(split_clause,[status(thm)],[f56,f107,f75])).
% 0.20/0.45 fof(f114,plain,(
% 0.20/0.45 spl0_9|spl0_5),
% 0.20/0.45 inference(split_clause,[status(thm)],[f57,f107,f79])).
% 0.20/0.45 fof(f115,plain,(
% 0.20/0.45 spl0_10 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f116,plain,(
% 0.20/0.45 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_10)),
% 0.20/0.45 inference(component_clause,[status(thm)],[f115])).
% 0.20/0.45 fof(f118,plain,(
% 0.20/0.45 spl0_11 <=> ~multiply(X1,sk_c7)=sk_c5|~inverse(X1)=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f119,plain,(
% 0.20/0.45 ![X0]: (~multiply(X0,sk_c7)=sk_c5|~inverse(X0)=sk_c7|~spl0_11)),
% 0.20/0.45 inference(component_clause,[status(thm)],[f118])).
% 0.20/0.45 fof(f121,plain,(
% 0.20/0.45 spl0_12 <=> ~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f122,plain,(
% 0.20/0.45 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_12)),
% 0.20/0.45 inference(component_clause,[status(thm)],[f121])).
% 0.20/0.45 fof(f124,plain,(
% 0.20/0.45 spl0_13 <=> ~inverse(X3)=sk_c6|~multiply(X3,sk_c5)=sk_c6),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f125,plain,(
% 0.20/0.45 ![X0]: (~inverse(X0)=sk_c6|~multiply(X0,sk_c5)=sk_c6|~spl0_13)),
% 0.20/0.45 inference(component_clause,[status(thm)],[f124])).
% 0.20/0.45 fof(f127,plain,(
% 0.20/0.45 ~spl0_0|spl0_10|spl0_11|~spl0_1|spl0_12|spl0_13),
% 0.20/0.45 inference(split_clause,[status(thm)],[f59,f60,f115,f118,f63,f121,f124])).
% 0.20/0.45 fof(f128,plain,(
% 0.20/0.45 ~inverse(sk_c4)=sk_c6|~spl0_13|~spl0_5),
% 0.20/0.45 inference(resolution,[status(thm)],[f125,f80])).
% 0.20/0.45 fof(f129,plain,(
% 0.20/0.45 ~sk_c6=sk_c6|~spl0_4|~spl0_13|~spl0_5),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f76,f128])).
% 0.20/0.45 fof(f130,plain,(
% 0.20/0.45 $false|~spl0_4|~spl0_13|~spl0_5),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f129])).
% 0.20/0.45 fof(f131,plain,(
% 0.20/0.45 ~spl0_4|~spl0_13|~spl0_5),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f130])).
% 0.20/0.45 fof(f132,plain,(
% 0.20/0.45 ~inverse(sk_c3)=sk_c7|~spl0_12|~spl0_3),
% 0.20/0.45 inference(resolution,[status(thm)],[f122,f72])).
% 0.20/0.45 fof(f133,plain,(
% 0.20/0.45 ~sk_c7=sk_c7|~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f68,f132])).
% 0.20/0.45 fof(f134,plain,(
% 0.20/0.45 $false|~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f133])).
% 0.20/0.45 fof(f135,plain,(
% 0.20/0.45 ~spl0_2|~spl0_12|~spl0_3),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f134])).
% 0.20/0.45 fof(f136,plain,(
% 0.20/0.45 ~inverse(sk_c2)=sk_c7|~spl0_11|~spl0_8),
% 0.20/0.45 inference(resolution,[status(thm)],[f119,f100])).
% 0.20/0.45 fof(f137,plain,(
% 0.20/0.45 ~sk_c7=sk_c7|~spl0_9|~spl0_11|~spl0_8),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f108,f136])).
% 0.20/0.45 fof(f138,plain,(
% 0.20/0.45 $false|~spl0_9|~spl0_11|~spl0_8),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f137])).
% 0.20/0.45 fof(f139,plain,(
% 0.20/0.45 ~spl0_9|~spl0_11|~spl0_8),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f138])).
% 0.20/0.45 fof(f140,plain,(
% 0.20/0.45 ~inverse(sk_c1)=sk_c7|~spl0_10|~spl0_6),
% 0.20/0.45 inference(resolution,[status(thm)],[f116,f84])).
% 0.20/0.45 fof(f141,plain,(
% 0.20/0.45 ~sk_c7=sk_c7|~spl0_7|~spl0_10|~spl0_6),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f92,f140])).
% 0.20/0.45 fof(f142,plain,(
% 0.20/0.45 $false|~spl0_7|~spl0_10|~spl0_6),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f141])).
% 0.20/0.45 fof(f143,plain,(
% 0.20/0.45 ~spl0_7|~spl0_10|~spl0_6),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f142])).
% 0.20/0.45 fof(f152,plain,(
% 0.20/0.45 spl0_16 <=> sk_c6=sk_c6),
% 0.20/0.45 introduced(split_symbol_definition)).
% 0.20/0.45 fof(f154,plain,(
% 0.20/0.45 ~sk_c6=sk_c6|spl0_16),
% 0.20/0.45 inference(component_clause,[status(thm)],[f152])).
% 0.20/0.45 fof(f157,plain,(
% 0.20/0.45 $false|spl0_16),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f154])).
% 0.20/0.45 fof(f158,plain,(
% 0.20/0.45 spl0_16),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f157])).
% 0.20/0.45 fof(f162,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c5,X0)=multiply(sk_c6,multiply(sk_c7,X0))|~spl0_1)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f64,f32])).
% 0.20/0.45 fof(f163,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c3,multiply(sk_c6,X0))|~spl0_3)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f72,f32])).
% 0.20/0.45 fof(f164,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c4,multiply(sk_c5,X0))|~spl0_5)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f80,f32])).
% 0.20/0.45 fof(f169,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c7)=multiply(sk_c3,sk_c5)|~spl0_3|~spl0_1),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f64,f163])).
% 0.20/0.45 fof(f183,plain,(
% 0.20/0.45 multiply(sk_c6,sk_c4)=identity|~spl0_4),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f76,f31])).
% 0.20/0.45 fof(f184,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c3)=identity|~spl0_2),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f68,f31])).
% 0.20/0.45 fof(f185,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c2)=identity|~spl0_9),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f108,f31])).
% 0.20/0.45 fof(f186,plain,(
% 0.20/0.45 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f31,f32])).
% 0.20/0.45 fof(f187,plain,(
% 0.20/0.45 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f30,f186])).
% 0.20/0.45 fof(f189,plain,(
% 0.20/0.45 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_4)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f183,f32])).
% 0.20/0.45 fof(f190,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(sk_c6,multiply(sk_c4,X0))|~spl0_4)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f30,f189])).
% 0.20/0.45 fof(f192,plain,(
% 0.20/0.45 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_2)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f184,f32])).
% 0.20/0.45 fof(f193,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(sk_c7,multiply(sk_c3,X0))|~spl0_2)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f30,f192])).
% 0.20/0.45 fof(f195,plain,(
% 0.20/0.45 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_9)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f185,f32])).
% 0.20/0.45 fof(f196,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_9)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f30,f195])).
% 0.20/0.45 fof(f201,plain,(
% 0.20/0.45 sk_c5=multiply(sk_c6,sk_c6)|~spl0_4|~spl0_5),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f80,f190])).
% 0.20/0.45 fof(f218,plain,(
% 0.20/0.45 sk_c6=multiply(sk_c7,sk_c7)|~spl0_2|~spl0_3),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f72,f193])).
% 0.20/0.45 fof(f222,plain,(
% 0.20/0.45 sk_c6=multiply(sk_c3,sk_c5)|~spl0_2|~spl0_3|~spl0_1),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f218,f169])).
% 0.20/0.45 fof(f223,plain,(
% 0.20/0.45 multiply(sk_c5,sk_c7)=multiply(sk_c6,sk_c6)|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f218,f162])).
% 0.20/0.45 fof(f224,plain,(
% 0.20/0.45 multiply(sk_c5,sk_c7)=sk_c5|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f201,f223])).
% 0.20/0.45 fof(f226,plain,(
% 0.20/0.45 sk_c5=multiply(sk_c7,sk_c6)|~spl0_2|~spl0_3|~spl0_1),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f222,f193])).
% 0.20/0.45 fof(f227,plain,(
% 0.20/0.45 spl0_0|~spl0_2|~spl0_3|~spl0_1),
% 0.20/0.45 inference(split_clause,[status(thm)],[f226,f60,f67,f71,f63])).
% 0.20/0.45 fof(f233,plain,(
% 0.20/0.45 multiply(sk_c6,sk_c7)=multiply(sk_c4,sk_c5)|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f224,f164])).
% 0.20/0.45 fof(f234,plain,(
% 0.20/0.45 sk_c5=multiply(sk_c4,sk_c5)|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f64,f233])).
% 0.20/0.45 fof(f235,plain,(
% 0.20/0.45 sk_c5=sk_c6|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f80,f234])).
% 0.20/0.45 fof(f241,plain,(
% 0.20/0.45 sk_c6=multiply(sk_c3,sk_c6)|~spl0_4|~spl0_5|~spl0_2|~spl0_3|~spl0_1),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f235,f222])).
% 0.20/0.45 fof(f242,plain,(
% 0.20/0.45 sk_c6=sk_c7|~spl0_4|~spl0_5|~spl0_2|~spl0_3|~spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f72,f241])).
% 0.20/0.45 fof(f251,plain,(
% 0.20/0.45 multiply(sk_c4,sk_c6)=sk_c6|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f235,f80])).
% 0.20/0.45 fof(f252,plain,(
% 0.20/0.45 sk_c5=sk_c7|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f242,f235])).
% 0.20/0.45 fof(f257,plain,(
% 0.20/0.45 inverse(sk_c4)=sk_c7|~spl0_5|~spl0_2|~spl0_3|~spl0_1|~spl0_4),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f242,f76])).
% 0.20/0.45 fof(f258,plain,(
% 0.20/0.45 multiply(sk_c3,sk_c7)=sk_c7|~spl0_4|~spl0_5|~spl0_2|~spl0_1|~spl0_3),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f242,f72])).
% 0.20/0.45 fof(f272,plain,(
% 0.20/0.45 multiply(sk_c4,sk_c7)=sk_c6|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f242,f251])).
% 0.20/0.45 fof(f273,plain,(
% 0.20/0.45 multiply(sk_c4,sk_c7)=sk_c7|~spl0_4|~spl0_1|~spl0_2|~spl0_3|~spl0_5),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f242,f272])).
% 0.20/0.45 fof(f282,plain,(
% 0.20/0.45 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~spl0_4|~spl0_5|~spl0_2|~spl0_3|~spl0_1|~spl0_10)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f242,f116])).
% 0.20/0.45 fof(f283,plain,(
% 0.20/0.45 ~multiply(sk_c3,sk_c7)=sk_c7|~spl0_4|~spl0_5|~spl0_3|~spl0_1|~spl0_10|~spl0_2),
% 0.20/0.45 inference(resolution,[status(thm)],[f282,f68])).
% 0.20/0.45 fof(f284,plain,(
% 0.20/0.45 ~sk_c7=sk_c7|~spl0_4|~spl0_5|~spl0_3|~spl0_1|~spl0_10|~spl0_2),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f258,f283])).
% 0.20/0.45 fof(f285,plain,(
% 0.20/0.45 $false|~spl0_4|~spl0_5|~spl0_3|~spl0_1|~spl0_10|~spl0_2),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f284])).
% 0.20/0.45 fof(f286,plain,(
% 0.20/0.45 ~spl0_4|~spl0_5|~spl0_3|~spl0_1|~spl0_10|~spl0_2),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f285])).
% 0.20/0.45 fof(f287,plain,(
% 0.20/0.45 ![X0]: (~multiply(X0,sk_c7)=sk_c7|~inverse(X0)=sk_c7|~spl0_4|~spl0_5|~spl0_1|~spl0_2|~spl0_3|~spl0_11)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f252,f119])).
% 0.20/0.45 fof(f289,plain,(
% 0.20/0.45 ~multiply(sk_c4,sk_c7)=sk_c7|~spl0_11|~spl0_5|~spl0_2|~spl0_3|~spl0_1|~spl0_4),
% 0.20/0.45 inference(resolution,[status(thm)],[f287,f257])).
% 0.20/0.45 fof(f290,plain,(
% 0.20/0.45 ~sk_c7=sk_c7|~spl0_11|~spl0_5|~spl0_2|~spl0_3|~spl0_1|~spl0_4),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f273,f289])).
% 0.20/0.45 fof(f291,plain,(
% 0.20/0.45 $false|~spl0_11|~spl0_5|~spl0_2|~spl0_3|~spl0_1|~spl0_4),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f290])).
% 0.20/0.45 fof(f292,plain,(
% 0.20/0.45 ~spl0_11|~spl0_5|~spl0_2|~spl0_3|~spl0_1|~spl0_4),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f291])).
% 0.20/0.45 fof(f301,plain,(
% 0.20/0.45 sk_c7=multiply(sk_c7,sk_c5)|~spl0_9|~spl0_8),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f100,f196])).
% 0.20/0.45 fof(f303,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,multiply(sk_c7,X0))|~spl0_6)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f84,f32])).
% 0.20/0.45 fof(f315,plain,(
% 0.20/0.45 sk_c5=multiply(inverse(sk_c7),sk_c7)|~spl0_9|~spl0_8),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f301,f187])).
% 0.20/0.45 fof(f316,plain,(
% 0.20/0.45 sk_c5=identity|~spl0_9|~spl0_8),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f31,f315])).
% 0.20/0.45 fof(f328,plain,(
% 0.20/0.45 multiply(sk_c6,sk_c7)=identity|~spl0_9|~spl0_8|~spl0_1),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f316,f64])).
% 0.20/0.45 fof(f329,plain,(
% 0.20/0.45 multiply(sk_c7,sk_c6)=identity|~spl0_9|~spl0_8|~spl0_0),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f316,f61])).
% 0.20/0.45 fof(f339,plain,(
% 0.20/0.45 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c6,X0))|~spl0_9|~spl0_8|~spl0_0)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f329,f32])).
% 0.20/0.45 fof(f340,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(sk_c7,multiply(sk_c6,X0))|~spl0_9|~spl0_8|~spl0_0)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f30,f339])).
% 0.20/0.45 fof(f384,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c6,multiply(sk_c6,X0))=multiply(sk_c1,X0)|~spl0_6|~spl0_9|~spl0_8|~spl0_0)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f340,f303])).
% 0.20/0.45 fof(f400,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_6|~spl0_9|~spl0_8|~spl0_0)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f384,f340])).
% 0.20/0.45 fof(f430,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_7)),
% 0.20/0.45 inference(paramodulation,[status(thm)],[f92,f187])).
% 0.20/0.45 fof(f431,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(sk_c6,X0)|~spl0_6|~spl0_9|~spl0_8|~spl0_0|~spl0_7)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f400,f430])).
% 0.20/0.45 fof(f434,plain,(
% 0.20/0.45 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c1,X0)|~spl0_7|~spl0_6|~spl0_9|~spl0_8|~spl0_0)),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f431,f384])).
% 0.20/0.45 fof(f435,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(sk_c1,X0)|~spl0_7|~spl0_6|~spl0_9|~spl0_8|~spl0_0)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f431,f434])).
% 0.20/0.45 fof(f437,plain,(
% 0.20/0.45 sk_c7=identity|~spl0_6|~spl0_0|~spl0_7|~spl0_9|~spl0_8|~spl0_1),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f431,f328])).
% 0.20/0.45 fof(f444,plain,(
% 0.20/0.45 ![X0]: (X0=multiply(sk_c7,X0)|~spl0_6|~spl0_7|~spl0_9|~spl0_8|~spl0_0)),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f431,f340])).
% 0.20/0.45 fof(f450,plain,(
% 0.20/0.45 inverse(sk_c1)=identity|~spl0_6|~spl0_0|~spl0_9|~spl0_8|~spl0_1|~spl0_7),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f437,f92])).
% 0.20/0.45 fof(f452,plain,(
% 0.20/0.45 multiply(identity,sk_c6)=identity|~spl0_6|~spl0_7|~spl0_1|~spl0_9|~spl0_8|~spl0_0),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f437,f329])).
% 0.20/0.45 fof(f453,plain,(
% 0.20/0.45 sk_c6=identity|~spl0_6|~spl0_7|~spl0_1|~spl0_9|~spl0_8|~spl0_0),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f30,f452])).
% 0.20/0.45 fof(f455,plain,(
% 0.20/0.45 multiply(identity,sk_c2)=identity|~spl0_6|~spl0_0|~spl0_7|~spl0_8|~spl0_1|~spl0_9),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f437,f185])).
% 0.20/0.45 fof(f456,plain,(
% 0.20/0.45 sk_c2=identity|~spl0_6|~spl0_0|~spl0_7|~spl0_8|~spl0_1|~spl0_9),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f30,f455])).
% 0.20/0.45 fof(f457,plain,(
% 0.20/0.45 inverse(sk_c2)=identity|~spl0_6|~spl0_0|~spl0_7|~spl0_8|~spl0_1|~spl0_9),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f437,f108])).
% 0.20/0.45 fof(f467,plain,(
% 0.20/0.45 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~spl0_6|~spl0_0|~spl0_7|~spl0_9|~spl0_8|~spl0_1|~spl0_12)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f437,f122])).
% 0.20/0.45 fof(f468,plain,(
% 0.20/0.45 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_6|~spl0_0|~spl0_7|~spl0_9|~spl0_8|~spl0_1|~spl0_12)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f453,f467])).
% 0.20/0.45 fof(f469,plain,(
% 0.20/0.45 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_6|~spl0_0|~spl0_7|~spl0_9|~spl0_8|~spl0_1|~spl0_12)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f437,f468])).
% 0.20/0.45 fof(f476,plain,(
% 0.20/0.45 ~multiply(sk_c1,identity)=identity|~spl0_6|~spl0_0|~spl0_7|~spl0_9|~spl0_8|~spl0_1|~spl0_12),
% 0.20/0.45 inference(resolution,[status(thm)],[f450,f469])).
% 0.20/0.45 fof(f477,plain,(
% 0.20/0.45 ~identity=identity|~spl0_6|~spl0_0|~spl0_7|~spl0_9|~spl0_8|~spl0_1|~spl0_12),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f435,f476])).
% 0.20/0.45 fof(f478,plain,(
% 0.20/0.45 $false|~spl0_6|~spl0_0|~spl0_7|~spl0_9|~spl0_8|~spl0_1|~spl0_12),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f477])).
% 0.20/0.45 fof(f479,plain,(
% 0.20/0.45 ~spl0_6|~spl0_0|~spl0_7|~spl0_9|~spl0_8|~spl0_1|~spl0_12),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f478])).
% 0.20/0.45 fof(f485,plain,(
% 0.20/0.45 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c5)=sk_c6|~spl0_6|~spl0_7|~spl0_1|~spl0_9|~spl0_8|~spl0_0|~spl0_13)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f453,f125])).
% 0.20/0.45 fof(f486,plain,(
% 0.20/0.45 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c6|~spl0_6|~spl0_7|~spl0_1|~spl0_9|~spl0_8|~spl0_0|~spl0_13)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f316,f485])).
% 0.20/0.45 fof(f487,plain,(
% 0.20/0.45 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=identity|~spl0_6|~spl0_7|~spl0_1|~spl0_9|~spl0_8|~spl0_0|~spl0_13)),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f453,f486])).
% 0.20/0.45 fof(f489,plain,(
% 0.20/0.45 inverse(identity)=identity|~spl0_6|~spl0_0|~spl0_7|~spl0_8|~spl0_1|~spl0_9),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f456,f457])).
% 0.20/0.45 fof(f493,plain,(
% 0.20/0.45 ~multiply(identity,identity)=identity|~spl0_13|~spl0_6|~spl0_0|~spl0_7|~spl0_8|~spl0_1|~spl0_9),
% 0.20/0.45 inference(resolution,[status(thm)],[f487,f489])).
% 0.20/0.45 fof(f494,plain,(
% 0.20/0.45 ~identity=identity|~spl0_13|~spl0_6|~spl0_0|~spl0_7|~spl0_8|~spl0_1|~spl0_9),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f30,f493])).
% 0.20/0.45 fof(f495,plain,(
% 0.20/0.45 $false|~spl0_13|~spl0_6|~spl0_0|~spl0_7|~spl0_8|~spl0_1|~spl0_9),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f494])).
% 0.20/0.45 fof(f496,plain,(
% 0.20/0.45 ~spl0_13|~spl0_6|~spl0_0|~spl0_7|~spl0_8|~spl0_1|~spl0_9),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f495])).
% 0.20/0.45 fof(f497,plain,(
% 0.20/0.45 sk_c7=sk_c6|~spl0_7|~spl0_9|~spl0_8|~spl0_0|~spl0_6),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f435,f84])).
% 0.20/0.45 fof(f498,plain,(
% 0.20/0.45 ~multiply(sk_c6,sk_c7)=identity|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f316,f65])).
% 0.20/0.45 fof(f508,plain,(
% 0.20/0.45 sk_c6=identity|~spl0_6|~spl0_7|~spl0_9|~spl0_8|~spl0_0),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f444,f329])).
% 0.20/0.45 fof(f509,plain,(
% 0.20/0.45 sk_c7=identity|~spl0_6|~spl0_7|~spl0_9|~spl0_8|~spl0_0),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f497,f508])).
% 0.20/0.45 fof(f511,plain,(
% 0.20/0.45 identity=sk_c6|~spl0_7|~spl0_9|~spl0_8|~spl0_0|~spl0_6),
% 0.20/0.45 inference(backward_demodulation,[status(thm)],[f509,f497])).
% 0.20/0.45 fof(f516,plain,(
% 0.20/0.45 ~multiply(identity,sk_c7)=identity|~spl0_7|~spl0_0|~spl0_6|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f511,f498])).
% 0.20/0.45 fof(f517,plain,(
% 0.20/0.45 ~sk_c7=identity|~spl0_7|~spl0_0|~spl0_6|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f30,f516])).
% 0.20/0.45 fof(f518,plain,(
% 0.20/0.45 ~identity=identity|~spl0_7|~spl0_0|~spl0_6|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.45 inference(forward_demodulation,[status(thm)],[f509,f517])).
% 0.20/0.45 fof(f519,plain,(
% 0.20/0.45 $false|~spl0_7|~spl0_0|~spl0_6|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.45 inference(trivial_equality_resolution,[status(esa)],[f518])).
% 0.20/0.45 fof(f520,plain,(
% 0.20/0.45 ~spl0_7|~spl0_0|~spl0_6|~spl0_9|~spl0_8|spl0_1),
% 0.20/0.45 inference(contradiction_clause,[status(thm)],[f519])).
% 0.20/0.45 fof(f521,plain,(
% 0.20/0.45 $false),
% 0.20/0.45 inference(sat_refutation,[status(thm)],[f66,f70,f74,f86,f87,f88,f89,f90,f94,f95,f96,f97,f98,f102,f103,f104,f105,f106,f110,f111,f112,f113,f114,f127,f131,f135,f139,f143,f158,f227,f286,f292,f479,f496,f520])).
% 0.20/0.45 % SZS output end CNFRefutation for theBenchmark.p
% 0.20/0.46 % Elapsed time: 0.112607 seconds
% 0.20/0.46 % CPU time: 0.771300 seconds
% 0.20/0.46 % Total memory used: 73.384 MB
% 0.20/0.46 % Net memory used: 72.678 MB
%------------------------------------------------------------------------------