TSTP Solution File: GRP342-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP342-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:11:24 EDT 2023
% Result : Unsatisfiable 0.19s 0.39s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP342-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:35:23 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.19/0.39 % Refutation found
% 0.19/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.39 fof(f1,axiom,(
% 0.19/0.39 (![X]: (multiply(identity,X) = X ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f2,axiom,(
% 0.19/0.39 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f3,axiom,(
% 0.19/0.39 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f4,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f5,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f6,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c3) = sk_c4 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f8,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f9,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c7,sk_c8) = sk_c6| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f10,negated_conjecture,(
% 0.19/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f11,negated_conjecture,(
% 0.19/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f12,negated_conjecture,(
% 0.19/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c4 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f14,negated_conjecture,(
% 0.19/0.39 ( inverse(sk_c1) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f15,negated_conjecture,(
% 0.19/0.39 ( inverse(sk_c1) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f16,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f17,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f18,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c3) = sk_c4 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f20,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f21,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c1,sk_c7) = sk_c8| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f22,negated_conjecture,(
% 0.19/0.39 ( inverse(sk_c2) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f23,negated_conjecture,(
% 0.19/0.39 ( inverse(sk_c2) = sk_c7| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f24,negated_conjecture,(
% 0.19/0.39 ( inverse(sk_c2) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f26,negated_conjecture,(
% 0.19/0.39 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f27,negated_conjecture,(
% 0.19/0.39 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f28,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f29,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c4) = sk_c8 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f30,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c4 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f32,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c5,sk_c8) = sk_c6 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f33,negated_conjecture,(
% 0.19/0.39 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c5) = sk_c8 ) ),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f34,negated_conjecture,(
% 0.19/0.39 (![X3,X4,X2,X1,X5]: (( multiply(sk_c7,sk_c8) != sk_c6| inverse(X3) != sk_c8| multiply(X3,sk_c7) != sk_c8| inverse(X4) != sk_c7| multiply(X4,sk_c6) != sk_c7| multiply(sk_c8,sk_c6) != sk_c7| multiply(X2,X1) != sk_c8| inverse(X2) != X1| multiply(X1,sk_c7) != sk_c8| multiply(X5,sk_c8) != sk_c6| inverse(X5) != sk_c8 ) ))),
% 0.19/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.39 fof(f35,plain,(
% 0.19/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f1])).
% 0.19/0.39 fof(f36,plain,(
% 0.19/0.39 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f2])).
% 0.19/0.39 fof(f37,plain,(
% 0.19/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f3])).
% 0.19/0.39 fof(f38,plain,(
% 0.19/0.39 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c8,sk_c6)=sk_c7),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f4])).
% 0.19/0.39 fof(f39,plain,(
% 0.19/0.39 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c3,sk_c4)=sk_c8),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f5])).
% 0.19/0.39 fof(f40,plain,(
% 0.19/0.39 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c3)=sk_c4),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f6])).
% 0.19/0.39 fof(f42,plain,(
% 0.19/0.39 multiply(sk_c7,sk_c8)=sk_c6|multiply(sk_c5,sk_c8)=sk_c6),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f8])).
% 0.19/0.39 fof(f43,plain,(
% 0.19/0.39 multiply(sk_c7,sk_c8)=sk_c6|inverse(sk_c5)=sk_c8),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f9])).
% 0.19/0.39 fof(f44,plain,(
% 0.19/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f10])).
% 0.19/0.39 fof(f45,plain,(
% 0.19/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c4)=sk_c8),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f11])).
% 0.19/0.39 fof(f46,plain,(
% 0.19/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c4),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f12])).
% 0.19/0.39 fof(f48,plain,(
% 0.19/0.39 inverse(sk_c1)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f14])).
% 0.19/0.39 fof(f49,plain,(
% 0.19/0.39 inverse(sk_c1)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f15])).
% 0.19/0.39 fof(f50,plain,(
% 0.19/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f16])).
% 0.19/0.39 fof(f51,plain,(
% 0.19/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c3,sk_c4)=sk_c8),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f17])).
% 0.19/0.39 fof(f52,plain,(
% 0.19/0.39 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c3)=sk_c4),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f18])).
% 0.19/0.39 fof(f54,plain,(
% 0.19/0.39 multiply(sk_c1,sk_c7)=sk_c8|multiply(sk_c5,sk_c8)=sk_c6),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f20])).
% 0.19/0.39 fof(f55,plain,(
% 0.19/0.39 multiply(sk_c1,sk_c7)=sk_c8|inverse(sk_c5)=sk_c8),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f21])).
% 0.19/0.39 fof(f56,plain,(
% 0.19/0.39 inverse(sk_c2)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f22])).
% 0.19/0.39 fof(f57,plain,(
% 0.19/0.39 inverse(sk_c2)=sk_c7|multiply(sk_c3,sk_c4)=sk_c8),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f23])).
% 0.19/0.39 fof(f58,plain,(
% 0.19/0.39 inverse(sk_c2)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f24])).
% 0.19/0.39 fof(f60,plain,(
% 0.19/0.39 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f26])).
% 0.19/0.39 fof(f61,plain,(
% 0.19/0.39 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f27])).
% 0.19/0.39 fof(f62,plain,(
% 0.19/0.39 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f28])).
% 0.19/0.39 fof(f63,plain,(
% 0.19/0.39 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c4)=sk_c8),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f29])).
% 0.19/0.39 fof(f64,plain,(
% 0.19/0.39 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c4),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f30])).
% 0.19/0.39 fof(f66,plain,(
% 0.19/0.39 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c5,sk_c8)=sk_c6),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f32])).
% 0.19/0.39 fof(f67,plain,(
% 0.19/0.39 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c5)=sk_c8),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f33])).
% 0.19/0.39 fof(f68,plain,(
% 0.19/0.39 ![X5]: (((![X1]: ((![X2]: ((((![X4]: (((![X3]: ((~multiply(sk_c7,sk_c8)=sk_c6|~inverse(X3)=sk_c8)|~multiply(X3,sk_c7)=sk_c8))|~inverse(X4)=sk_c7)|~multiply(X4,sk_c6)=sk_c7))|~multiply(sk_c8,sk_c6)=sk_c7)|~multiply(X2,X1)=sk_c8)|~inverse(X2)=X1))|~multiply(X1,sk_c7)=sk_c8))|~multiply(X5,sk_c8)=sk_c6)|~inverse(X5)=sk_c8)),
% 0.19/0.39 inference(miniscoping,[status(esa)],[f34])).
% 0.19/0.39 fof(f69,plain,(
% 0.19/0.39 ![X0,X1,X2,X3,X4]: (~multiply(sk_c7,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~multiply(sk_c8,sk_c6)=sk_c7|~multiply(X2,X3)=sk_c8|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c8|~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8)),
% 0.19/0.39 inference(cnf_transformation,[status(esa)],[f68])).
% 0.19/0.39 fof(f70,plain,(
% 0.19/0.39 spl0_0 <=> multiply(sk_c7,sk_c8)=sk_c6),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f71,plain,(
% 0.19/0.39 multiply(sk_c7,sk_c8)=sk_c6|~spl0_0),
% 0.19/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.19/0.39 fof(f72,plain,(
% 0.19/0.39 ~multiply(sk_c7,sk_c8)=sk_c6|spl0_0),
% 0.19/0.39 inference(component_clause,[status(thm)],[f70])).
% 0.19/0.39 fof(f73,plain,(
% 0.19/0.39 spl0_1 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f74,plain,(
% 0.19/0.39 multiply(sk_c8,sk_c6)=sk_c7|~spl0_1),
% 0.19/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.19/0.39 fof(f75,plain,(
% 0.19/0.39 ~multiply(sk_c8,sk_c6)=sk_c7|spl0_1),
% 0.19/0.39 inference(component_clause,[status(thm)],[f73])).
% 0.19/0.39 fof(f76,plain,(
% 0.19/0.39 spl0_0|spl0_1),
% 0.19/0.39 inference(split_clause,[status(thm)],[f38,f70,f73])).
% 0.19/0.39 fof(f77,plain,(
% 0.19/0.39 spl0_2 <=> multiply(sk_c3,sk_c4)=sk_c8),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f78,plain,(
% 0.19/0.39 multiply(sk_c3,sk_c4)=sk_c8|~spl0_2),
% 0.19/0.39 inference(component_clause,[status(thm)],[f77])).
% 0.19/0.39 fof(f80,plain,(
% 0.19/0.39 spl0_0|spl0_2),
% 0.19/0.39 inference(split_clause,[status(thm)],[f39,f70,f77])).
% 0.19/0.39 fof(f81,plain,(
% 0.19/0.39 spl0_3 <=> inverse(sk_c3)=sk_c4),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f82,plain,(
% 0.19/0.39 inverse(sk_c3)=sk_c4|~spl0_3),
% 0.19/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.19/0.39 fof(f84,plain,(
% 0.19/0.39 spl0_0|spl0_3),
% 0.19/0.39 inference(split_clause,[status(thm)],[f40,f70,f81])).
% 0.19/0.39 fof(f89,plain,(
% 0.19/0.39 spl0_5 <=> multiply(sk_c5,sk_c8)=sk_c6),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f90,plain,(
% 0.19/0.39 multiply(sk_c5,sk_c8)=sk_c6|~spl0_5),
% 0.19/0.39 inference(component_clause,[status(thm)],[f89])).
% 0.19/0.39 fof(f92,plain,(
% 0.19/0.39 spl0_0|spl0_5),
% 0.19/0.39 inference(split_clause,[status(thm)],[f42,f70,f89])).
% 0.19/0.39 fof(f93,plain,(
% 0.19/0.39 spl0_6 <=> inverse(sk_c5)=sk_c8),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f94,plain,(
% 0.19/0.39 inverse(sk_c5)=sk_c8|~spl0_6),
% 0.19/0.39 inference(component_clause,[status(thm)],[f93])).
% 0.19/0.39 fof(f96,plain,(
% 0.19/0.39 spl0_0|spl0_6),
% 0.19/0.39 inference(split_clause,[status(thm)],[f43,f70,f93])).
% 0.19/0.39 fof(f97,plain,(
% 0.19/0.39 spl0_7 <=> inverse(sk_c1)=sk_c8),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f98,plain,(
% 0.19/0.39 inverse(sk_c1)=sk_c8|~spl0_7),
% 0.19/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.19/0.39 fof(f100,plain,(
% 0.19/0.39 spl0_7|spl0_1),
% 0.19/0.39 inference(split_clause,[status(thm)],[f44,f97,f73])).
% 0.19/0.39 fof(f101,plain,(
% 0.19/0.39 spl0_7|spl0_2),
% 0.19/0.39 inference(split_clause,[status(thm)],[f45,f97,f77])).
% 0.19/0.39 fof(f102,plain,(
% 0.19/0.39 spl0_7|spl0_3),
% 0.19/0.39 inference(split_clause,[status(thm)],[f46,f97,f81])).
% 0.19/0.39 fof(f104,plain,(
% 0.19/0.39 spl0_7|spl0_5),
% 0.19/0.39 inference(split_clause,[status(thm)],[f48,f97,f89])).
% 0.19/0.39 fof(f105,plain,(
% 0.19/0.39 spl0_7|spl0_6),
% 0.19/0.39 inference(split_clause,[status(thm)],[f49,f97,f93])).
% 0.19/0.39 fof(f106,plain,(
% 0.19/0.39 spl0_8 <=> multiply(sk_c1,sk_c7)=sk_c8),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f107,plain,(
% 0.19/0.39 multiply(sk_c1,sk_c7)=sk_c8|~spl0_8),
% 0.19/0.39 inference(component_clause,[status(thm)],[f106])).
% 0.19/0.39 fof(f109,plain,(
% 0.19/0.39 spl0_8|spl0_1),
% 0.19/0.39 inference(split_clause,[status(thm)],[f50,f106,f73])).
% 0.19/0.39 fof(f110,plain,(
% 0.19/0.39 spl0_8|spl0_2),
% 0.19/0.39 inference(split_clause,[status(thm)],[f51,f106,f77])).
% 0.19/0.39 fof(f111,plain,(
% 0.19/0.39 spl0_8|spl0_3),
% 0.19/0.39 inference(split_clause,[status(thm)],[f52,f106,f81])).
% 0.19/0.39 fof(f113,plain,(
% 0.19/0.39 spl0_8|spl0_5),
% 0.19/0.39 inference(split_clause,[status(thm)],[f54,f106,f89])).
% 0.19/0.39 fof(f114,plain,(
% 0.19/0.39 spl0_8|spl0_6),
% 0.19/0.39 inference(split_clause,[status(thm)],[f55,f106,f93])).
% 0.19/0.39 fof(f115,plain,(
% 0.19/0.39 spl0_9 <=> inverse(sk_c2)=sk_c7),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f116,plain,(
% 0.19/0.39 inverse(sk_c2)=sk_c7|~spl0_9),
% 0.19/0.39 inference(component_clause,[status(thm)],[f115])).
% 0.19/0.39 fof(f118,plain,(
% 0.19/0.39 spl0_9|spl0_1),
% 0.19/0.39 inference(split_clause,[status(thm)],[f56,f115,f73])).
% 0.19/0.39 fof(f119,plain,(
% 0.19/0.39 spl0_9|spl0_2),
% 0.19/0.39 inference(split_clause,[status(thm)],[f57,f115,f77])).
% 0.19/0.39 fof(f120,plain,(
% 0.19/0.39 spl0_9|spl0_3),
% 0.19/0.39 inference(split_clause,[status(thm)],[f58,f115,f81])).
% 0.19/0.39 fof(f122,plain,(
% 0.19/0.39 spl0_9|spl0_5),
% 0.19/0.39 inference(split_clause,[status(thm)],[f60,f115,f89])).
% 0.19/0.39 fof(f123,plain,(
% 0.19/0.39 spl0_9|spl0_6),
% 0.19/0.39 inference(split_clause,[status(thm)],[f61,f115,f93])).
% 0.19/0.39 fof(f124,plain,(
% 0.19/0.39 spl0_10 <=> multiply(sk_c2,sk_c6)=sk_c7),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f125,plain,(
% 0.19/0.39 multiply(sk_c2,sk_c6)=sk_c7|~spl0_10),
% 0.19/0.39 inference(component_clause,[status(thm)],[f124])).
% 0.19/0.39 fof(f127,plain,(
% 0.19/0.39 spl0_10|spl0_1),
% 0.19/0.39 inference(split_clause,[status(thm)],[f62,f124,f73])).
% 0.19/0.39 fof(f128,plain,(
% 0.19/0.39 spl0_10|spl0_2),
% 0.19/0.39 inference(split_clause,[status(thm)],[f63,f124,f77])).
% 0.19/0.39 fof(f129,plain,(
% 0.19/0.39 spl0_10|spl0_3),
% 0.19/0.39 inference(split_clause,[status(thm)],[f64,f124,f81])).
% 0.19/0.39 fof(f131,plain,(
% 0.19/0.39 spl0_10|spl0_5),
% 0.19/0.39 inference(split_clause,[status(thm)],[f66,f124,f89])).
% 0.19/0.39 fof(f132,plain,(
% 0.19/0.39 spl0_10|spl0_6),
% 0.19/0.39 inference(split_clause,[status(thm)],[f67,f124,f93])).
% 0.19/0.39 fof(f133,plain,(
% 0.19/0.39 spl0_11 <=> ~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f134,plain,(
% 0.19/0.39 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_11)),
% 0.19/0.39 inference(component_clause,[status(thm)],[f133])).
% 0.19/0.39 fof(f136,plain,(
% 0.19/0.39 spl0_12 <=> ~inverse(X1)=sk_c7|~multiply(X1,sk_c6)=sk_c7),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f137,plain,(
% 0.19/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_12)),
% 0.19/0.39 inference(component_clause,[status(thm)],[f136])).
% 0.19/0.39 fof(f139,plain,(
% 0.19/0.39 spl0_13 <=> ~multiply(X2,X3)=sk_c8|~inverse(X2)=X3|~multiply(X3,sk_c7)=sk_c8),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f140,plain,(
% 0.19/0.39 ![X0,X1]: (~multiply(X0,X1)=sk_c8|~inverse(X0)=X1|~multiply(X1,sk_c7)=sk_c8|~spl0_13)),
% 0.19/0.39 inference(component_clause,[status(thm)],[f139])).
% 0.19/0.39 fof(f142,plain,(
% 0.19/0.39 spl0_14 <=> ~multiply(X4,sk_c8)=sk_c6|~inverse(X4)=sk_c8),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f143,plain,(
% 0.19/0.39 ![X0]: (~multiply(X0,sk_c8)=sk_c6|~inverse(X0)=sk_c8|~spl0_14)),
% 0.19/0.39 inference(component_clause,[status(thm)],[f142])).
% 0.19/0.39 fof(f145,plain,(
% 0.19/0.39 ~spl0_0|spl0_11|spl0_12|~spl0_1|spl0_13|spl0_14),
% 0.19/0.39 inference(split_clause,[status(thm)],[f69,f70,f133,f136,f73,f139,f142])).
% 0.19/0.39 fof(f150,plain,(
% 0.19/0.39 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f36,f37])).
% 0.19/0.39 fof(f151,plain,(
% 0.19/0.39 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f35,f150])).
% 0.19/0.39 fof(f152,plain,(
% 0.19/0.39 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f151,f151])).
% 0.19/0.39 fof(f153,plain,(
% 0.19/0.39 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f36,f151])).
% 0.19/0.39 fof(f155,plain,(
% 0.19/0.39 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f37,f151])).
% 0.19/0.39 fof(f163,plain,(
% 0.19/0.39 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f36,f152])).
% 0.19/0.39 fof(f172,plain,(
% 0.19/0.39 inverse(identity)=identity),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f35,f163])).
% 0.19/0.39 fof(f191,plain,(
% 0.19/0.39 ![X0]: (X0=multiply(X0,identity))),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f152,f153])).
% 0.19/0.39 fof(f192,plain,(
% 0.19/0.39 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f152,f191])).
% 0.19/0.39 fof(f193,plain,(
% 0.19/0.39 ![X0]: (inverse(inverse(X0))=X0)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f191,f192])).
% 0.19/0.39 fof(f244,plain,(
% 0.19/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f163,f155])).
% 0.19/0.39 fof(f245,plain,(
% 0.19/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f191,f244])).
% 0.19/0.39 fof(f340,plain,(
% 0.19/0.39 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f245,f245])).
% 0.19/0.39 fof(f341,plain,(
% 0.19/0.39 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f193,f340])).
% 0.19/0.39 fof(f618,plain,(
% 0.19/0.39 inverse(sk_c7)=sk_c2|~spl0_9),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f116,f193])).
% 0.19/0.39 fof(f634,plain,(
% 0.19/0.39 multiply(sk_c3,sk_c4)=identity|~spl0_3),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f82,f163])).
% 0.19/0.39 fof(f652,plain,(
% 0.19/0.39 sk_c6=multiply(inverse(sk_c2),sk_c7)|~spl0_10),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f125,f151])).
% 0.19/0.39 fof(f653,plain,(
% 0.19/0.39 sk_c6=multiply(sk_c7,sk_c7)|~spl0_9|~spl0_10),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f116,f652])).
% 0.19/0.39 fof(f696,plain,(
% 0.19/0.39 sk_c8=multiply(inverse(sk_c5),sk_c6)|~spl0_5),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f90,f151])).
% 0.19/0.39 fof(f697,plain,(
% 0.19/0.39 sk_c8=multiply(sk_c8,sk_c6)|~spl0_6|~spl0_5),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f94,f696])).
% 0.19/0.39 fof(f735,plain,(
% 0.19/0.39 sk_c8=multiply(inverse(sk_c7),sk_c6)|~spl0_0),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f71,f151])).
% 0.19/0.39 fof(f736,plain,(
% 0.19/0.39 sk_c8=multiply(sk_c2,sk_c6)|~spl0_9|~spl0_0),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f618,f735])).
% 0.19/0.39 fof(f737,plain,(
% 0.19/0.39 sk_c8=sk_c7|~spl0_10|~spl0_9|~spl0_0),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f125,f736])).
% 0.19/0.39 fof(f739,plain,(
% 0.19/0.39 multiply(sk_c7,sk_c7)=sk_c6|~spl0_10|~spl0_9|~spl0_0),
% 0.19/0.39 inference(backward_demodulation,[status(thm)],[f737,f71])).
% 0.19/0.39 fof(f747,plain,(
% 0.19/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c8|~spl0_10|~spl0_9|~spl0_0|~spl0_14)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f737,f143])).
% 0.19/0.39 fof(f748,plain,(
% 0.19/0.39 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_10|~spl0_9|~spl0_0|~spl0_14)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f737,f747])).
% 0.19/0.39 fof(f751,plain,(
% 0.19/0.39 spl0_15 <=> identity=sk_c6),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f753,plain,(
% 0.19/0.39 ~identity=sk_c6|spl0_15),
% 0.19/0.39 inference(component_clause,[status(thm)],[f751])).
% 0.19/0.39 fof(f754,plain,(
% 0.19/0.39 spl0_16 <=> inverse(inverse(sk_c7))=sk_c7),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f756,plain,(
% 0.19/0.39 ~inverse(inverse(sk_c7))=sk_c7|spl0_16),
% 0.19/0.39 inference(component_clause,[status(thm)],[f754])).
% 0.19/0.39 fof(f757,plain,(
% 0.19/0.39 ~identity=sk_c6|~inverse(inverse(sk_c7))=sk_c7|~spl0_10|~spl0_9|~spl0_0|~spl0_14),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f36,f748])).
% 0.19/0.39 fof(f758,plain,(
% 0.19/0.39 ~spl0_15|~spl0_16|~spl0_10|~spl0_9|~spl0_0|~spl0_14),
% 0.19/0.39 inference(split_clause,[status(thm)],[f757,f751,f754,f124,f115,f70,f142])).
% 0.19/0.39 fof(f759,plain,(
% 0.19/0.39 spl0_17 <=> sk_c7=sk_c6),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f760,plain,(
% 0.19/0.39 sk_c7=sk_c6|~spl0_17),
% 0.19/0.39 inference(component_clause,[status(thm)],[f759])).
% 0.19/0.39 fof(f761,plain,(
% 0.19/0.39 ~sk_c7=sk_c6|spl0_17),
% 0.19/0.39 inference(component_clause,[status(thm)],[f759])).
% 0.19/0.39 fof(f762,plain,(
% 0.19/0.39 spl0_18 <=> inverse(identity)=sk_c7),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f763,plain,(
% 0.19/0.39 inverse(identity)=sk_c7|~spl0_18),
% 0.19/0.39 inference(component_clause,[status(thm)],[f762])).
% 0.19/0.39 fof(f764,plain,(
% 0.19/0.39 ~inverse(identity)=sk_c7|spl0_18),
% 0.19/0.39 inference(component_clause,[status(thm)],[f762])).
% 0.19/0.39 fof(f765,plain,(
% 0.19/0.39 ~sk_c7=sk_c6|~inverse(identity)=sk_c7|~spl0_10|~spl0_9|~spl0_0|~spl0_14),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f35,f748])).
% 0.19/0.39 fof(f766,plain,(
% 0.19/0.39 ~spl0_17|~spl0_18|~spl0_10|~spl0_9|~spl0_0|~spl0_14),
% 0.19/0.39 inference(split_clause,[status(thm)],[f765,f759,f762,f124,f115,f70,f142])).
% 0.19/0.39 fof(f768,plain,(
% 0.19/0.39 ~identity=sk_c7|spl0_18),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f172,f764])).
% 0.19/0.39 fof(f769,plain,(
% 0.19/0.39 ~sk_c7=sk_c7|spl0_16),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f193,f756])).
% 0.19/0.39 fof(f770,plain,(
% 0.19/0.39 $false|spl0_16),
% 0.19/0.39 inference(trivial_equality_resolution,[status(esa)],[f769])).
% 0.19/0.39 fof(f771,plain,(
% 0.19/0.39 spl0_16),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f770])).
% 0.19/0.39 fof(f772,plain,(
% 0.19/0.39 ![X0]: (~multiply(X0,inverse(X0))=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_13)),
% 0.19/0.39 inference(destructive_equality_resolution,[status(esa)],[f140])).
% 0.19/0.39 fof(f773,plain,(
% 0.19/0.39 ![X0]: (~identity=sk_c8|~multiply(inverse(X0),sk_c7)=sk_c8|~spl0_13)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f163,f772])).
% 0.19/0.39 fof(f774,plain,(
% 0.19/0.39 spl0_19 <=> identity=sk_c8),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f775,plain,(
% 0.19/0.39 identity=sk_c8|~spl0_19),
% 0.19/0.39 inference(component_clause,[status(thm)],[f774])).
% 0.19/0.39 fof(f776,plain,(
% 0.19/0.39 ~identity=sk_c8|spl0_19),
% 0.19/0.39 inference(component_clause,[status(thm)],[f774])).
% 0.19/0.39 fof(f777,plain,(
% 0.19/0.39 spl0_20 <=> ~inverse(X0)=sk_c8),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f778,plain,(
% 0.19/0.39 ![X0]: (~inverse(X0)=sk_c8|~spl0_20)),
% 0.19/0.39 inference(component_clause,[status(thm)],[f777])).
% 0.19/0.39 fof(f782,plain,(
% 0.19/0.39 ~identity=sk_c8|~identity=sk_c8|~spl0_13),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f36,f773])).
% 0.19/0.39 fof(f783,plain,(
% 0.19/0.39 ~spl0_19|~spl0_13),
% 0.19/0.39 inference(split_clause,[status(thm)],[f782,f774,f139])).
% 0.19/0.39 fof(f811,plain,(
% 0.19/0.39 $false|~spl0_20),
% 0.19/0.39 inference(resolution,[status(thm)],[f778,f193])).
% 0.19/0.39 fof(f812,plain,(
% 0.19/0.39 ~spl0_20),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f811])).
% 0.19/0.39 fof(f820,plain,(
% 0.19/0.39 multiply(sk_c5,sk_c8)=identity|~spl0_6),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f94,f163])).
% 0.19/0.39 fof(f943,plain,(
% 0.19/0.39 identity=sk_c8|~spl0_3|~spl0_2),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f634,f78])).
% 0.19/0.39 fof(f944,plain,(
% 0.19/0.39 $false|spl0_19|~spl0_3|~spl0_2),
% 0.19/0.39 inference(forward_subsumption_resolution,[status(thm)],[f943,f776])).
% 0.19/0.39 fof(f945,plain,(
% 0.19/0.39 spl0_19|~spl0_3|~spl0_2),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f944])).
% 0.19/0.39 fof(f1845,plain,(
% 0.19/0.39 inverse(sk_c5)=sk_c7|~spl0_10|~spl0_9|~spl0_0|~spl0_6),
% 0.19/0.39 inference(backward_demodulation,[status(thm)],[f737,f94])).
% 0.19/0.39 fof(f1853,plain,(
% 0.19/0.39 multiply(sk_c5,sk_c7)=sk_c6|~spl0_10|~spl0_9|~spl0_0|~spl0_5),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f737,f90])).
% 0.19/0.39 fof(f1867,plain,(
% 0.19/0.39 multiply(sk_c5,sk_c7)=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_6),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f1845,f163])).
% 0.19/0.39 fof(f1868,plain,(
% 0.19/0.39 sk_c6=identity|~spl0_5|~spl0_10|~spl0_9|~spl0_0|~spl0_6),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f1853,f1867])).
% 0.19/0.39 fof(f1869,plain,(
% 0.19/0.39 $false|spl0_15|~spl0_5|~spl0_10|~spl0_9|~spl0_0|~spl0_6),
% 0.19/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1868,f753])).
% 0.19/0.39 fof(f1870,plain,(
% 0.19/0.39 spl0_15|~spl0_5|~spl0_10|~spl0_9|~spl0_0|~spl0_6),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f1869])).
% 0.19/0.39 fof(f1873,plain,(
% 0.19/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c8|~spl0_10|~spl0_9|~spl0_0|~spl0_11)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f737,f134])).
% 0.19/0.39 fof(f1874,plain,(
% 0.19/0.39 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c7)=sk_c7|~spl0_10|~spl0_9|~spl0_0|~spl0_11)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f737,f1873])).
% 0.19/0.39 fof(f1976,plain,(
% 0.19/0.39 multiply(sk_c1,sk_c7)=sk_c7|~spl0_10|~spl0_9|~spl0_0|~spl0_8),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f737,f107])).
% 0.19/0.39 fof(f1978,plain,(
% 0.19/0.39 inverse(sk_c1)=sk_c7|~spl0_10|~spl0_9|~spl0_0|~spl0_7),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f737,f98])).
% 0.19/0.39 fof(f1980,plain,(
% 0.19/0.39 ~identity=sk_c7|~spl0_10|~spl0_9|~spl0_0|spl0_19),
% 0.19/0.39 inference(backward_demodulation,[status(thm)],[f737,f776])).
% 0.19/0.39 fof(f1983,plain,(
% 0.19/0.39 spl0_26 <=> inverse(inverse(sk_c6))=sk_c7),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f1984,plain,(
% 0.19/0.39 inverse(inverse(sk_c6))=sk_c7|~spl0_26),
% 0.19/0.39 inference(component_clause,[status(thm)],[f1983])).
% 0.19/0.39 fof(f1985,plain,(
% 0.19/0.39 ~inverse(inverse(sk_c6))=sk_c7|spl0_26),
% 0.19/0.39 inference(component_clause,[status(thm)],[f1983])).
% 0.19/0.39 fof(f1986,plain,(
% 0.19/0.39 spl0_27 <=> identity=sk_c7),
% 0.19/0.39 introduced(split_symbol_definition)).
% 0.19/0.39 fof(f1988,plain,(
% 0.19/0.39 ~identity=sk_c7|spl0_27),
% 0.19/0.39 inference(component_clause,[status(thm)],[f1986])).
% 0.19/0.39 fof(f1989,plain,(
% 0.19/0.39 ~inverse(inverse(sk_c6))=sk_c7|~identity=sk_c7|~spl0_12),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f36,f137])).
% 0.19/0.39 fof(f1990,plain,(
% 0.19/0.39 ~spl0_26|~spl0_27|~spl0_12),
% 0.19/0.39 inference(split_clause,[status(thm)],[f1989,f1983,f1986,f136])).
% 0.19/0.39 fof(f1994,plain,(
% 0.19/0.39 identity=sk_c7|~spl0_18),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f172,f763])).
% 0.19/0.39 fof(f2007,plain,(
% 0.19/0.39 $false|~spl0_10|~spl0_9|~spl0_0|spl0_19|~spl0_18),
% 0.19/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1994,f1980])).
% 0.19/0.39 fof(f2008,plain,(
% 0.19/0.39 ~spl0_10|~spl0_9|~spl0_0|spl0_19|~spl0_18),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f2007])).
% 0.19/0.39 fof(f2017,plain,(
% 0.19/0.39 sk_c6=multiply(sk_c7,identity)|~spl0_18|~spl0_9|~spl0_10),
% 0.19/0.39 inference(backward_demodulation,[status(thm)],[f1994,f653])).
% 0.19/0.39 fof(f2018,plain,(
% 0.19/0.39 sk_c6=sk_c7|~spl0_18|~spl0_9|~spl0_10),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f191,f2017])).
% 0.19/0.39 fof(f2019,plain,(
% 0.19/0.39 sk_c6=identity|~spl0_18|~spl0_9|~spl0_10),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f1994,f2018])).
% 0.19/0.39 fof(f2021,plain,(
% 0.19/0.39 ~identity=sk_c6|~spl0_18|spl0_17),
% 0.19/0.39 inference(backward_demodulation,[status(thm)],[f1994,f761])).
% 0.19/0.39 fof(f2022,plain,(
% 0.19/0.39 ~identity=identity|~spl0_18|spl0_27),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f1994,f1988])).
% 0.19/0.39 fof(f2023,plain,(
% 0.19/0.39 $false|~spl0_18|spl0_27),
% 0.19/0.39 inference(trivial_equality_resolution,[status(esa)],[f2022])).
% 0.19/0.39 fof(f2024,plain,(
% 0.19/0.39 ~spl0_18|spl0_27),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f2023])).
% 0.19/0.39 fof(f2760,plain,(
% 0.19/0.39 inverse(sk_c1)=multiply(sk_c7,inverse(sk_c7))|~spl0_10|~spl0_9|~spl0_0|~spl0_8),
% 0.19/0.39 inference(paramodulation,[status(thm)],[f1976,f341])).
% 0.19/0.39 fof(f2761,plain,(
% 0.19/0.39 sk_c7=multiply(sk_c7,inverse(sk_c7))|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_8),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f1978,f2760])).
% 0.19/0.39 fof(f2762,plain,(
% 0.19/0.39 sk_c7=identity|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_8),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f163,f2761])).
% 0.19/0.39 fof(f2763,plain,(
% 0.19/0.39 $false|spl0_18|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_8),
% 0.19/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2762,f768])).
% 0.19/0.39 fof(f2764,plain,(
% 0.19/0.39 spl0_18|~spl0_7|~spl0_10|~spl0_9|~spl0_0|~spl0_8),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f2763])).
% 0.19/0.39 fof(f2801,plain,(
% 0.19/0.39 multiply(identity,sk_c6)=sk_c7|~spl0_3|~spl0_2|~spl0_1),
% 0.19/0.39 inference(backward_demodulation,[status(thm)],[f943,f74])).
% 0.19/0.39 fof(f2802,plain,(
% 0.19/0.39 sk_c6=sk_c7|~spl0_3|~spl0_2|~spl0_1),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f35,f2801])).
% 0.19/0.39 fof(f2803,plain,(
% 0.19/0.39 $false|spl0_17|~spl0_3|~spl0_2|~spl0_1),
% 0.19/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2802,f761])).
% 0.19/0.39 fof(f2804,plain,(
% 0.19/0.39 spl0_17|~spl0_3|~spl0_2|~spl0_1),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f2803])).
% 0.19/0.39 fof(f2805,plain,(
% 0.19/0.39 ~sk_c6=sk_c7|spl0_26),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f193,f1985])).
% 0.19/0.39 fof(f2806,plain,(
% 0.19/0.39 ~spl0_17|spl0_26),
% 0.19/0.39 inference(split_clause,[status(thm)],[f2805,f759,f1983])).
% 0.19/0.39 fof(f2833,plain,(
% 0.19/0.39 $false|spl0_17|~spl0_18|~spl0_9|~spl0_10),
% 0.19/0.39 inference(forward_subsumption_resolution,[status(thm)],[f2019,f2021])).
% 0.19/0.39 fof(f2834,plain,(
% 0.19/0.39 spl0_17|~spl0_18|~spl0_9|~spl0_10),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f2833])).
% 0.19/0.39 fof(f2835,plain,(
% 0.19/0.39 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c8|~spl0_19|~spl0_14)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f775,f143])).
% 0.19/0.39 fof(f2836,plain,(
% 0.19/0.39 ![X0]: (~X0=sk_c6|~inverse(X0)=sk_c8|~spl0_19|~spl0_14)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f191,f2835])).
% 0.19/0.39 fof(f2837,plain,(
% 0.19/0.39 ![X0]: (~X0=sk_c6|~inverse(X0)=identity|~spl0_19|~spl0_14)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f775,f2836])).
% 0.19/0.39 fof(f2838,plain,(
% 0.19/0.39 ~inverse(sk_c6)=identity|~spl0_19|~spl0_14),
% 0.19/0.39 inference(destructive_equality_resolution,[status(esa)],[f2837])).
% 0.19/0.39 fof(f2911,plain,(
% 0.19/0.39 identity=multiply(sk_c8,sk_c6)|~spl0_19|~spl0_6|~spl0_5),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f775,f697])).
% 0.19/0.39 fof(f2912,plain,(
% 0.19/0.39 identity=multiply(identity,sk_c6)|~spl0_19|~spl0_6|~spl0_5),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f775,f2911])).
% 0.19/0.39 fof(f2913,plain,(
% 0.19/0.39 identity=sk_c6|~spl0_19|~spl0_6|~spl0_5),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f35,f2912])).
% 0.19/0.39 fof(f2936,plain,(
% 0.19/0.39 multiply(sk_c5,identity)=identity|~spl0_19|~spl0_6),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f775,f820])).
% 0.19/0.39 fof(f2937,plain,(
% 0.19/0.39 sk_c5=identity|~spl0_19|~spl0_6),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f191,f2936])).
% 0.19/0.39 fof(f3013,plain,(
% 0.19/0.39 sk_c6=sk_c7|~spl0_26),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f193,f1984])).
% 0.19/0.39 fof(f3042,plain,(
% 0.19/0.39 multiply(sk_c5,identity)=sk_c6|~spl0_19|~spl0_5),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f775,f90])).
% 0.19/0.39 fof(f3043,plain,(
% 0.19/0.39 sk_c5=sk_c6|~spl0_19|~spl0_5),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f191,f3042])).
% 0.19/0.39 fof(f3044,plain,(
% 0.19/0.39 sk_c5=sk_c7|~spl0_17|~spl0_19|~spl0_5),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f760,f3043])).
% 0.19/0.39 fof(f3376,plain,(
% 0.19/0.39 identity=sk_c7|~spl0_17|~spl0_19|~spl0_6|~spl0_5),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f760,f2913])).
% 0.19/0.39 fof(f3377,plain,(
% 0.19/0.39 $false|spl0_18|~spl0_17|~spl0_19|~spl0_6|~spl0_5),
% 0.19/0.39 inference(forward_subsumption_resolution,[status(thm)],[f3376,f768])).
% 0.19/0.39 fof(f3378,plain,(
% 0.19/0.39 spl0_18|~spl0_17|~spl0_19|~spl0_6|~spl0_5),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f3377])).
% 0.19/0.39 fof(f3391,plain,(
% 0.19/0.39 sk_c7=identity|~spl0_17|~spl0_5|~spl0_19|~spl0_6),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f3044,f2937])).
% 0.19/0.39 fof(f3394,plain,(
% 0.19/0.39 sk_c6=identity|~spl0_17|~spl0_5|~spl0_19|~spl0_6|~spl0_26),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f3391,f3013])).
% 0.19/0.39 fof(f3464,plain,(
% 0.19/0.39 ~inverse(identity)=identity|~spl0_17|~spl0_5|~spl0_6|~spl0_26|~spl0_19|~spl0_14),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f3394,f2838])).
% 0.19/0.39 fof(f3465,plain,(
% 0.19/0.39 ~identity=identity|~spl0_17|~spl0_5|~spl0_6|~spl0_26|~spl0_19|~spl0_14),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f172,f3464])).
% 0.19/0.39 fof(f3466,plain,(
% 0.19/0.39 $false|~spl0_17|~spl0_5|~spl0_6|~spl0_26|~spl0_19|~spl0_14),
% 0.19/0.39 inference(trivial_equality_resolution,[status(esa)],[f3465])).
% 0.19/0.39 fof(f3467,plain,(
% 0.19/0.39 ~spl0_17|~spl0_5|~spl0_6|~spl0_26|~spl0_19|~spl0_14),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f3466])).
% 0.19/0.39 fof(f3468,plain,(
% 0.19/0.39 ~multiply(identity,sk_c8)=sk_c6|~spl0_17|~spl0_5|~spl0_19|~spl0_6|spl0_0),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f3391,f72])).
% 0.19/0.39 fof(f3469,plain,(
% 0.19/0.39 ~sk_c8=sk_c6|~spl0_17|~spl0_5|~spl0_19|~spl0_6|spl0_0),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f35,f3468])).
% 0.19/0.39 fof(f3470,plain,(
% 0.19/0.39 ~identity=sk_c6|~spl0_17|~spl0_5|~spl0_19|~spl0_6|spl0_0),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f775,f3469])).
% 0.19/0.39 fof(f3471,plain,(
% 0.19/0.39 ~identity=identity|~spl0_26|~spl0_17|~spl0_5|~spl0_19|~spl0_6|spl0_0),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f3394,f3470])).
% 0.19/0.39 fof(f3472,plain,(
% 0.19/0.39 $false|~spl0_26|~spl0_17|~spl0_5|~spl0_19|~spl0_6|spl0_0),
% 0.19/0.39 inference(trivial_equality_resolution,[status(esa)],[f3471])).
% 0.19/0.39 fof(f3473,plain,(
% 0.19/0.39 ~spl0_26|~spl0_17|~spl0_5|~spl0_19|~spl0_6|spl0_0),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f3472])).
% 0.19/0.39 fof(f3474,plain,(
% 0.19/0.39 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c7)=sk_c8|~spl0_19|~spl0_11)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f775,f134])).
% 0.19/0.39 fof(f3475,plain,(
% 0.19/0.39 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c8|~spl0_17|~spl0_5|~spl0_6|~spl0_19|~spl0_11)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f3391,f3474])).
% 0.19/0.39 fof(f3476,plain,(
% 0.19/0.39 ![X0]: (~inverse(X0)=identity|~X0=sk_c8|~spl0_17|~spl0_5|~spl0_6|~spl0_19|~spl0_11)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f191,f3475])).
% 0.19/0.39 fof(f3477,plain,(
% 0.19/0.39 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_17|~spl0_5|~spl0_6|~spl0_19|~spl0_11)),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f775,f3476])).
% 0.19/0.39 fof(f3478,plain,(
% 0.19/0.39 ~inverse(identity)=identity|~spl0_17|~spl0_5|~spl0_6|~spl0_19|~spl0_11),
% 0.19/0.39 inference(destructive_equality_resolution,[status(esa)],[f3477])).
% 0.19/0.39 fof(f3479,plain,(
% 0.19/0.39 $false|~spl0_17|~spl0_5|~spl0_6|~spl0_19|~spl0_11),
% 0.19/0.39 inference(forward_subsumption_resolution,[status(thm)],[f3478,f172])).
% 0.19/0.39 fof(f3480,plain,(
% 0.19/0.39 ~spl0_17|~spl0_5|~spl0_6|~spl0_19|~spl0_11),
% 0.19/0.39 inference(contradiction_clause,[status(thm)],[f3479])).
% 0.19/0.39 fof(f3501,plain,(
% 0.19/0.39 identity=sk_c7|~spl0_19|~spl0_10|~spl0_9|~spl0_0),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f775,f737])).
% 0.19/0.39 fof(f3530,plain,(
% 0.19/0.39 multiply(identity,sk_c7)=sk_c6|~spl0_19|~spl0_10|~spl0_9|~spl0_0),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f3501,f739])).
% 0.19/0.39 fof(f3531,plain,(
% 0.19/0.39 sk_c7=sk_c6|~spl0_19|~spl0_10|~spl0_9|~spl0_0),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f35,f3530])).
% 0.19/0.39 fof(f3532,plain,(
% 0.19/0.39 identity=sk_c6|~spl0_19|~spl0_10|~spl0_9|~spl0_0),
% 0.19/0.39 inference(forward_demodulation,[status(thm)],[f3501,f3531])).
% 0.19/0.39 fof(f4184,plain,(
% 0.19/0.39 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c7)=sk_c7|~spl0_19|~spl0_10|~spl0_9|~spl0_0|~spl0_11)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f3501,f1874])).
% 0.19/0.41 fof(f4185,plain,(
% 0.19/0.41 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_19|~spl0_10|~spl0_9|~spl0_0|~spl0_11)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f3501,f4184])).
% 0.19/0.41 fof(f4186,plain,(
% 0.19/0.41 ![X0]: (~inverse(X0)=identity|~X0=sk_c7|~spl0_19|~spl0_10|~spl0_9|~spl0_0|~spl0_11)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f191,f4185])).
% 0.19/0.41 fof(f4187,plain,(
% 0.19/0.41 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_19|~spl0_10|~spl0_9|~spl0_0|~spl0_11)),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f3501,f4186])).
% 0.19/0.41 fof(f4188,plain,(
% 0.19/0.41 ~inverse(identity)=identity|~spl0_19|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.19/0.41 inference(destructive_equality_resolution,[status(esa)],[f4187])).
% 0.19/0.41 fof(f4189,plain,(
% 0.19/0.41 $false|~spl0_19|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.19/0.41 inference(forward_subsumption_resolution,[status(thm)],[f4188,f172])).
% 0.19/0.41 fof(f4190,plain,(
% 0.19/0.41 ~spl0_19|~spl0_10|~spl0_9|~spl0_0|~spl0_11),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f4189])).
% 0.19/0.41 fof(f4341,plain,(
% 0.19/0.41 ~multiply(identity,sk_c6)=sk_c7|~spl0_19|spl0_1),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f775,f75])).
% 0.19/0.41 fof(f4342,plain,(
% 0.19/0.41 ~sk_c6=sk_c7|~spl0_19|spl0_1),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f35,f4341])).
% 0.19/0.41 fof(f4343,plain,(
% 0.19/0.41 ~identity=sk_c7|~spl0_10|~spl0_9|~spl0_0|~spl0_19|spl0_1),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f3532,f4342])).
% 0.19/0.41 fof(f4344,plain,(
% 0.19/0.41 ~identity=identity|~spl0_10|~spl0_9|~spl0_0|~spl0_19|spl0_1),
% 0.19/0.41 inference(forward_demodulation,[status(thm)],[f3501,f4343])).
% 0.19/0.41 fof(f4345,plain,(
% 0.19/0.41 $false|~spl0_10|~spl0_9|~spl0_0|~spl0_19|spl0_1),
% 0.19/0.41 inference(trivial_equality_resolution,[status(esa)],[f4344])).
% 0.19/0.41 fof(f4346,plain,(
% 0.19/0.41 ~spl0_10|~spl0_9|~spl0_0|~spl0_19|spl0_1),
% 0.19/0.41 inference(contradiction_clause,[status(thm)],[f4345])).
% 0.19/0.41 fof(f4347,plain,(
% 0.19/0.41 $false),
% 0.19/0.41 inference(sat_refutation,[status(thm)],[f76,f80,f84,f92,f96,f100,f101,f102,f104,f105,f109,f110,f111,f113,f114,f118,f119,f120,f122,f123,f127,f128,f129,f131,f132,f145,f758,f766,f771,f783,f812,f945,f1870,f1990,f2008,f2024,f2764,f2804,f2806,f2834,f3378,f3467,f3473,f3480,f4190,f4346])).
% 0.19/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.41 % Elapsed time: 0.062916 seconds
% 0.19/0.41 % CPU time: 0.360865 seconds
% 0.19/0.41 % Memory used: 35.131 MB
%------------------------------------------------------------------------------