TSTP Solution File: GRP216-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP216-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 20:19:46 EDT 2024
% Result : Unsatisfiable 0.17s 0.42s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP216-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32 % Computer : n013.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 30 00:13:34 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % Drodi V3.6.0
% 0.17/0.42 % Refutation found
% 0.17/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.42 fof(f1,axiom,(
% 0.17/0.42 (![X]: (multiply(identity,X) = X ))),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f2,axiom,(
% 0.17/0.42 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f3,axiom,(
% 0.17/0.42 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f4,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c7) = sk_c6 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f5,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f6,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f7,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f8,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f9,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c1,sk_c7) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f10,negated_conjecture,(
% 0.17/0.42 ( inverse(sk_c1) = sk_c7| inverse(sk_c7) = sk_c6 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f11,negated_conjecture,(
% 0.17/0.42 ( inverse(sk_c1) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f13,negated_conjecture,(
% 0.17/0.42 ( inverse(sk_c1) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f14,negated_conjecture,(
% 0.17/0.42 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f15,negated_conjecture,(
% 0.17/0.42 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f16,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c7) = sk_c6 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f17,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c3) = sk_c7 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f18,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f19,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f20,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c2,sk_c6) = sk_c7| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f21,negated_conjecture,(
% 0.17/0.42 ( multiply(sk_c2,sk_c6) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f22,negated_conjecture,(
% 0.17/0.42 ( inverse(sk_c2) = sk_c6| inverse(sk_c7) = sk_c6 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f23,negated_conjecture,(
% 0.17/0.42 ( inverse(sk_c2) = sk_c6| inverse(sk_c3) = sk_c7 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f24,negated_conjecture,(
% 0.17/0.42 ( inverse(sk_c2) = sk_c6| multiply(sk_c3,sk_c6) = sk_c7 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f25,negated_conjecture,(
% 0.17/0.42 ( inverse(sk_c2) = sk_c6| multiply(sk_c7,sk_c5) = sk_c6 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f26,negated_conjecture,(
% 0.17/0.42 ( inverse(sk_c2) = sk_c6| multiply(sk_c4,sk_c7) = sk_c5 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f27,negated_conjecture,(
% 0.17/0.42 ( inverse(sk_c2) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f28,negated_conjecture,(
% 0.17/0.42 (![X3,X4,X1,X2,X5]: (( multiply(X3,sk_c7) != sk_c6| inverse(X3) != sk_c7| multiply(X4,sk_c6) != sk_c7| inverse(X4) != sk_c6| inverse(sk_c7) != sk_c6| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(sk_c7,X2) != sk_c6| multiply(X5,sk_c7) != X2| inverse(X5) != sk_c7 ) ))),
% 0.17/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.42 fof(f29,plain,(
% 0.17/0.42 ![X0]: (multiply(identity,X0)=X0)),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f1])).
% 0.17/0.42 fof(f30,plain,(
% 0.17/0.42 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f2])).
% 0.17/0.42 fof(f31,plain,(
% 0.17/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f3])).
% 0.17/0.42 fof(f32,plain,(
% 0.17/0.42 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c7)=sk_c6),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.42 fof(f33,plain,(
% 0.17/0.42 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f5])).
% 0.17/0.42 fof(f34,plain,(
% 0.17/0.42 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f6])).
% 0.17/0.42 fof(f35,plain,(
% 0.17/0.42 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f7])).
% 0.17/0.42 fof(f36,plain,(
% 0.17/0.42 multiply(sk_c1,sk_c7)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f8])).
% 0.17/0.42 fof(f37,plain,(
% 0.17/0.42 multiply(sk_c1,sk_c7)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f9])).
% 0.17/0.42 fof(f38,plain,(
% 0.17/0.42 inverse(sk_c1)=sk_c7|inverse(sk_c7)=sk_c6),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f10])).
% 0.17/0.42 fof(f39,plain,(
% 0.17/0.42 inverse(sk_c1)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f11])).
% 0.17/0.42 fof(f41,plain,(
% 0.17/0.42 inverse(sk_c1)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f13])).
% 0.17/0.42 fof(f42,plain,(
% 0.17/0.42 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f14])).
% 0.17/0.42 fof(f43,plain,(
% 0.17/0.42 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f15])).
% 0.17/0.42 fof(f44,plain,(
% 0.17/0.42 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c7)=sk_c6),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f16])).
% 0.17/0.42 fof(f45,plain,(
% 0.17/0.42 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c3)=sk_c7),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f17])).
% 0.17/0.42 fof(f46,plain,(
% 0.17/0.42 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c3,sk_c6)=sk_c7),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f18])).
% 0.17/0.42 fof(f47,plain,(
% 0.17/0.42 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c7,sk_c5)=sk_c6),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f19])).
% 0.17/0.42 fof(f48,plain,(
% 0.17/0.42 multiply(sk_c2,sk_c6)=sk_c7|multiply(sk_c4,sk_c7)=sk_c5),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f20])).
% 0.17/0.42 fof(f49,plain,(
% 0.17/0.42 multiply(sk_c2,sk_c6)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f21])).
% 0.17/0.42 fof(f50,plain,(
% 0.17/0.42 inverse(sk_c2)=sk_c6|inverse(sk_c7)=sk_c6),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f22])).
% 0.17/0.42 fof(f51,plain,(
% 0.17/0.42 inverse(sk_c2)=sk_c6|inverse(sk_c3)=sk_c7),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f23])).
% 0.17/0.42 fof(f52,plain,(
% 0.17/0.42 inverse(sk_c2)=sk_c6|multiply(sk_c3,sk_c6)=sk_c7),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f24])).
% 0.17/0.42 fof(f53,plain,(
% 0.17/0.42 inverse(sk_c2)=sk_c6|multiply(sk_c7,sk_c5)=sk_c6),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f25])).
% 0.17/0.42 fof(f54,plain,(
% 0.17/0.42 inverse(sk_c2)=sk_c6|multiply(sk_c4,sk_c7)=sk_c5),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f26])).
% 0.17/0.42 fof(f55,plain,(
% 0.17/0.42 inverse(sk_c2)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f27])).
% 0.17/0.42 fof(f56,plain,(
% 0.17/0.42 ![X5]: ((![X2]: (((![X1]: ((((![X4]: (((![X3]: (~multiply(X3,sk_c7)=sk_c6|~inverse(X3)=sk_c7))|~multiply(X4,sk_c6)=sk_c7)|~inverse(X4)=sk_c6))|~inverse(sk_c7)=sk_c6)|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(sk_c7,X2)=sk_c6)|~multiply(X5,sk_c7)=X2))|~inverse(X5)=sk_c7)),
% 0.17/0.42 inference(miniscoping,[status(esa)],[f28])).
% 0.17/0.42 fof(f57,plain,(
% 0.17/0.42 ![X0,X1,X2,X3,X4]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6|~inverse(sk_c7)=sk_c6|~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7|~multiply(sk_c7,X3)=sk_c6|~multiply(X4,sk_c7)=X3|~inverse(X4)=sk_c7)),
% 0.17/0.42 inference(cnf_transformation,[status(esa)],[f56])).
% 0.17/0.42 fof(f58,plain,(
% 0.17/0.42 spl0_0 <=> multiply(sk_c1,sk_c7)=sk_c6),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f59,plain,(
% 0.17/0.42 multiply(sk_c1,sk_c7)=sk_c6|~spl0_0),
% 0.17/0.42 inference(component_clause,[status(thm)],[f58])).
% 0.17/0.42 fof(f61,plain,(
% 0.17/0.42 spl0_1 <=> inverse(sk_c7)=sk_c6),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f62,plain,(
% 0.17/0.42 inverse(sk_c7)=sk_c6|~spl0_1),
% 0.17/0.42 inference(component_clause,[status(thm)],[f61])).
% 0.17/0.42 fof(f63,plain,(
% 0.17/0.42 ~inverse(sk_c7)=sk_c6|spl0_1),
% 0.17/0.42 inference(component_clause,[status(thm)],[f61])).
% 0.17/0.42 fof(f64,plain,(
% 0.17/0.42 spl0_0|spl0_1),
% 0.17/0.42 inference(split_clause,[status(thm)],[f32,f58,f61])).
% 0.17/0.42 fof(f65,plain,(
% 0.17/0.42 spl0_2 <=> inverse(sk_c3)=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f66,plain,(
% 0.17/0.42 inverse(sk_c3)=sk_c7|~spl0_2),
% 0.17/0.42 inference(component_clause,[status(thm)],[f65])).
% 0.17/0.42 fof(f68,plain,(
% 0.17/0.42 spl0_0|spl0_2),
% 0.17/0.42 inference(split_clause,[status(thm)],[f33,f58,f65])).
% 0.17/0.42 fof(f69,plain,(
% 0.17/0.42 spl0_3 <=> multiply(sk_c3,sk_c6)=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f70,plain,(
% 0.17/0.42 multiply(sk_c3,sk_c6)=sk_c7|~spl0_3),
% 0.17/0.42 inference(component_clause,[status(thm)],[f69])).
% 0.17/0.42 fof(f72,plain,(
% 0.17/0.42 spl0_0|spl0_3),
% 0.17/0.42 inference(split_clause,[status(thm)],[f34,f58,f69])).
% 0.17/0.42 fof(f73,plain,(
% 0.17/0.42 spl0_4 <=> multiply(sk_c7,sk_c5)=sk_c6),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f74,plain,(
% 0.17/0.42 multiply(sk_c7,sk_c5)=sk_c6|~spl0_4),
% 0.17/0.42 inference(component_clause,[status(thm)],[f73])).
% 0.17/0.42 fof(f76,plain,(
% 0.17/0.42 spl0_0|spl0_4),
% 0.17/0.42 inference(split_clause,[status(thm)],[f35,f58,f73])).
% 0.17/0.42 fof(f77,plain,(
% 0.17/0.42 spl0_5 <=> multiply(sk_c4,sk_c7)=sk_c5),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f78,plain,(
% 0.17/0.42 multiply(sk_c4,sk_c7)=sk_c5|~spl0_5),
% 0.17/0.42 inference(component_clause,[status(thm)],[f77])).
% 0.17/0.42 fof(f80,plain,(
% 0.17/0.42 spl0_0|spl0_5),
% 0.17/0.42 inference(split_clause,[status(thm)],[f36,f58,f77])).
% 0.17/0.42 fof(f81,plain,(
% 0.17/0.42 spl0_6 <=> inverse(sk_c4)=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f82,plain,(
% 0.17/0.42 inverse(sk_c4)=sk_c7|~spl0_6),
% 0.17/0.42 inference(component_clause,[status(thm)],[f81])).
% 0.17/0.42 fof(f84,plain,(
% 0.17/0.42 spl0_0|spl0_6),
% 0.17/0.42 inference(split_clause,[status(thm)],[f37,f58,f81])).
% 0.17/0.42 fof(f85,plain,(
% 0.17/0.42 spl0_7 <=> inverse(sk_c1)=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f86,plain,(
% 0.17/0.42 inverse(sk_c1)=sk_c7|~spl0_7),
% 0.17/0.42 inference(component_clause,[status(thm)],[f85])).
% 0.17/0.42 fof(f88,plain,(
% 0.17/0.42 spl0_7|spl0_1),
% 0.17/0.42 inference(split_clause,[status(thm)],[f38,f85,f61])).
% 0.17/0.42 fof(f89,plain,(
% 0.17/0.42 spl0_7|spl0_2),
% 0.17/0.42 inference(split_clause,[status(thm)],[f39,f85,f65])).
% 0.17/0.42 fof(f91,plain,(
% 0.17/0.42 spl0_7|spl0_4),
% 0.17/0.42 inference(split_clause,[status(thm)],[f41,f85,f73])).
% 0.17/0.42 fof(f92,plain,(
% 0.17/0.42 spl0_7|spl0_5),
% 0.17/0.42 inference(split_clause,[status(thm)],[f42,f85,f77])).
% 0.17/0.42 fof(f93,plain,(
% 0.17/0.42 spl0_7|spl0_6),
% 0.17/0.42 inference(split_clause,[status(thm)],[f43,f85,f81])).
% 0.17/0.42 fof(f94,plain,(
% 0.17/0.42 spl0_8 <=> multiply(sk_c2,sk_c6)=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f95,plain,(
% 0.17/0.42 multiply(sk_c2,sk_c6)=sk_c7|~spl0_8),
% 0.17/0.42 inference(component_clause,[status(thm)],[f94])).
% 0.17/0.42 fof(f97,plain,(
% 0.17/0.42 spl0_8|spl0_1),
% 0.17/0.42 inference(split_clause,[status(thm)],[f44,f94,f61])).
% 0.17/0.42 fof(f98,plain,(
% 0.17/0.42 spl0_8|spl0_2),
% 0.17/0.42 inference(split_clause,[status(thm)],[f45,f94,f65])).
% 0.17/0.42 fof(f99,plain,(
% 0.17/0.42 spl0_8|spl0_3),
% 0.17/0.42 inference(split_clause,[status(thm)],[f46,f94,f69])).
% 0.17/0.42 fof(f100,plain,(
% 0.17/0.42 spl0_8|spl0_4),
% 0.17/0.42 inference(split_clause,[status(thm)],[f47,f94,f73])).
% 0.17/0.42 fof(f101,plain,(
% 0.17/0.42 spl0_8|spl0_5),
% 0.17/0.42 inference(split_clause,[status(thm)],[f48,f94,f77])).
% 0.17/0.42 fof(f102,plain,(
% 0.17/0.42 spl0_8|spl0_6),
% 0.17/0.42 inference(split_clause,[status(thm)],[f49,f94,f81])).
% 0.17/0.42 fof(f103,plain,(
% 0.17/0.42 spl0_9 <=> inverse(sk_c2)=sk_c6),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f104,plain,(
% 0.17/0.42 inverse(sk_c2)=sk_c6|~spl0_9),
% 0.17/0.42 inference(component_clause,[status(thm)],[f103])).
% 0.17/0.42 fof(f106,plain,(
% 0.17/0.42 spl0_9|spl0_1),
% 0.17/0.42 inference(split_clause,[status(thm)],[f50,f103,f61])).
% 0.17/0.42 fof(f107,plain,(
% 0.17/0.42 spl0_9|spl0_2),
% 0.17/0.42 inference(split_clause,[status(thm)],[f51,f103,f65])).
% 0.17/0.42 fof(f108,plain,(
% 0.17/0.42 spl0_9|spl0_3),
% 0.17/0.42 inference(split_clause,[status(thm)],[f52,f103,f69])).
% 0.17/0.42 fof(f109,plain,(
% 0.17/0.42 spl0_9|spl0_4),
% 0.17/0.42 inference(split_clause,[status(thm)],[f53,f103,f73])).
% 0.17/0.42 fof(f110,plain,(
% 0.17/0.42 spl0_9|spl0_5),
% 0.17/0.42 inference(split_clause,[status(thm)],[f54,f103,f77])).
% 0.17/0.42 fof(f111,plain,(
% 0.17/0.42 spl0_9|spl0_6),
% 0.17/0.42 inference(split_clause,[status(thm)],[f55,f103,f81])).
% 0.17/0.42 fof(f112,plain,(
% 0.17/0.42 spl0_10 <=> ~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f113,plain,(
% 0.17/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_10)),
% 0.17/0.42 inference(component_clause,[status(thm)],[f112])).
% 0.17/0.42 fof(f115,plain,(
% 0.17/0.42 spl0_11 <=> ~multiply(X1,sk_c6)=sk_c7|~inverse(X1)=sk_c6),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f116,plain,(
% 0.17/0.42 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_11)),
% 0.17/0.42 inference(component_clause,[status(thm)],[f115])).
% 0.17/0.42 fof(f118,plain,(
% 0.17/0.42 spl0_12 <=> ~inverse(X2)=sk_c7|~multiply(X2,sk_c6)=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f119,plain,(
% 0.17/0.42 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_12)),
% 0.17/0.42 inference(component_clause,[status(thm)],[f118])).
% 0.17/0.42 fof(f121,plain,(
% 0.17/0.42 spl0_13 <=> ~multiply(sk_c7,X3)=sk_c6|~multiply(X4,sk_c7)=X3|~inverse(X4)=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f122,plain,(
% 0.17/0.42 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_13)),
% 0.17/0.42 inference(component_clause,[status(thm)],[f121])).
% 0.17/0.42 fof(f124,plain,(
% 0.17/0.42 spl0_10|spl0_11|~spl0_1|spl0_12|spl0_13),
% 0.17/0.42 inference(split_clause,[status(thm)],[f57,f112,f115,f61,f118,f121])).
% 0.17/0.42 fof(f125,plain,(
% 0.17/0.42 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~spl0_13)),
% 0.17/0.42 inference(destructive_equality_resolution,[status(esa)],[f122])).
% 0.17/0.42 fof(f130,plain,(
% 0.17/0.42 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f30,f31])).
% 0.17/0.42 fof(f131,plain,(
% 0.17/0.42 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f29,f130])).
% 0.17/0.42 fof(f132,plain,(
% 0.17/0.42 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f131,f131])).
% 0.17/0.42 fof(f133,plain,(
% 0.17/0.42 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f30,f131])).
% 0.17/0.42 fof(f135,plain,(
% 0.17/0.42 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f31,f131])).
% 0.17/0.42 fof(f143,plain,(
% 0.17/0.42 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f30,f132])).
% 0.17/0.42 fof(f152,plain,(
% 0.17/0.42 inverse(identity)=identity),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f29,f143])).
% 0.17/0.42 fof(f171,plain,(
% 0.17/0.42 ![X0]: (X0=multiply(X0,identity))),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f132,f133])).
% 0.17/0.42 fof(f172,plain,(
% 0.17/0.42 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f132,f171])).
% 0.17/0.42 fof(f173,plain,(
% 0.17/0.42 ![X0]: (inverse(inverse(X0))=X0)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f171,f172])).
% 0.17/0.42 fof(f224,plain,(
% 0.17/0.42 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f143,f135])).
% 0.17/0.42 fof(f225,plain,(
% 0.17/0.42 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f171,f224])).
% 0.17/0.42 fof(f599,plain,(
% 0.17/0.42 multiply(sk_c2,sk_c6)=identity|~spl0_9),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f104,f143])).
% 0.17/0.42 fof(f603,plain,(
% 0.17/0.42 inverse(sk_c7)=sk_c1|~spl0_7),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f86,f173])).
% 0.17/0.42 fof(f613,plain,(
% 0.17/0.42 inverse(sk_c7)=sk_c3|~spl0_2),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f66,f173])).
% 0.17/0.42 fof(f630,plain,(
% 0.17/0.42 sk_c6=multiply(inverse(sk_c2),sk_c7)|~spl0_8),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f95,f131])).
% 0.17/0.42 fof(f631,plain,(
% 0.17/0.42 sk_c6=multiply(sk_c6,sk_c7)|~spl0_9|~spl0_8),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f104,f630])).
% 0.17/0.42 fof(f640,plain,(
% 0.17/0.42 sk_c1=sk_c3|~spl0_7|~spl0_2),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f603,f613])).
% 0.17/0.42 fof(f707,plain,(
% 0.17/0.42 multiply(sk_c1,sk_c7)=identity|~spl0_7),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f603,f30])).
% 0.17/0.42 fof(f799,plain,(
% 0.17/0.42 spl0_14 <=> inverse(sk_c2)=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f802,plain,(
% 0.17/0.42 spl0_15 <=> identity=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f804,plain,(
% 0.17/0.42 ~identity=sk_c7|spl0_15),
% 0.17/0.42 inference(component_clause,[status(thm)],[f802])).
% 0.17/0.42 fof(f805,plain,(
% 0.17/0.42 ~inverse(sk_c2)=sk_c7|~identity=sk_c7|~spl0_12|~spl0_9),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f599,f119])).
% 0.17/0.42 fof(f806,plain,(
% 0.17/0.42 ~spl0_14|~spl0_15|~spl0_12|~spl0_9),
% 0.17/0.42 inference(split_clause,[status(thm)],[f805,f799,f802,f118,f103])).
% 0.17/0.42 fof(f809,plain,(
% 0.17/0.42 spl0_16 <=> inverse(inverse(sk_c6))=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f811,plain,(
% 0.17/0.42 ~inverse(inverse(sk_c6))=sk_c7|spl0_16),
% 0.17/0.42 inference(component_clause,[status(thm)],[f809])).
% 0.17/0.42 fof(f812,plain,(
% 0.17/0.42 ~inverse(inverse(sk_c6))=sk_c7|~identity=sk_c7|~spl0_12),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f30,f119])).
% 0.17/0.42 fof(f813,plain,(
% 0.17/0.42 ~spl0_16|~spl0_15|~spl0_12),
% 0.17/0.42 inference(split_clause,[status(thm)],[f812,f809,f802,f118])).
% 0.17/0.42 fof(f814,plain,(
% 0.17/0.42 spl0_17 <=> inverse(identity)=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f815,plain,(
% 0.17/0.42 inverse(identity)=sk_c7|~spl0_17),
% 0.17/0.42 inference(component_clause,[status(thm)],[f814])).
% 0.17/0.42 fof(f816,plain,(
% 0.17/0.42 ~inverse(identity)=sk_c7|spl0_17),
% 0.17/0.42 inference(component_clause,[status(thm)],[f814])).
% 0.17/0.42 fof(f817,plain,(
% 0.17/0.42 spl0_18 <=> sk_c6=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f818,plain,(
% 0.17/0.42 sk_c6=sk_c7|~spl0_18),
% 0.17/0.42 inference(component_clause,[status(thm)],[f817])).
% 0.17/0.42 fof(f819,plain,(
% 0.17/0.42 ~sk_c6=sk_c7|spl0_18),
% 0.17/0.42 inference(component_clause,[status(thm)],[f817])).
% 0.17/0.42 fof(f823,plain,(
% 0.17/0.42 ~identity=sk_c7|spl0_17),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f152,f816])).
% 0.17/0.42 fof(f823,plain,(
% 0.17/0.42 ~identity=sk_c7|spl0_17),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f152,f816])).
% 0.17/0.42 fof(f824,plain,(
% 0.17/0.42 ~sk_c6=sk_c7|spl0_16),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f173,f811])).
% 0.17/0.42 fof(f830,plain,(
% 0.17/0.42 spl0_19 <=> inverse(inverse(sk_c6))=sk_c6),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f832,plain,(
% 0.17/0.42 ~inverse(inverse(sk_c6))=sk_c6|spl0_19),
% 0.17/0.42 inference(component_clause,[status(thm)],[f830])).
% 0.17/0.42 fof(f833,plain,(
% 0.17/0.42 ~identity=sk_c7|~inverse(inverse(sk_c6))=sk_c6|~spl0_11),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f30,f116])).
% 0.17/0.42 fof(f834,plain,(
% 0.17/0.42 ~spl0_15|~spl0_19|~spl0_11),
% 0.17/0.42 inference(split_clause,[status(thm)],[f833,f802,f830,f115])).
% 0.17/0.42 fof(f842,plain,(
% 0.17/0.42 ~sk_c6=sk_c6|spl0_19),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f173,f832])).
% 0.17/0.42 fof(f843,plain,(
% 0.17/0.42 $false|spl0_19),
% 0.17/0.42 inference(trivial_equality_resolution,[status(esa)],[f842])).
% 0.17/0.42 fof(f844,plain,(
% 0.17/0.42 spl0_19),
% 0.17/0.42 inference(contradiction_clause,[status(thm)],[f843])).
% 0.17/0.42 fof(f845,plain,(
% 0.17/0.42 spl0_21 <=> identity=sk_c6),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f847,plain,(
% 0.17/0.42 ~identity=sk_c6|spl0_21),
% 0.17/0.42 inference(component_clause,[status(thm)],[f845])).
% 0.17/0.42 fof(f852,plain,(
% 0.17/0.42 spl0_22 <=> inverse(inverse(sk_c7))=sk_c7),
% 0.17/0.42 introduced(split_symbol_definition)).
% 0.17/0.42 fof(f854,plain,(
% 0.17/0.42 ~inverse(inverse(sk_c7))=sk_c7|spl0_22),
% 0.17/0.42 inference(component_clause,[status(thm)],[f852])).
% 0.17/0.42 fof(f855,plain,(
% 0.17/0.42 ~identity=sk_c6|~inverse(inverse(sk_c7))=sk_c7|~spl0_10),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f30,f113])).
% 0.17/0.42 fof(f856,plain,(
% 0.17/0.42 ~spl0_21|~spl0_22|~spl0_10),
% 0.17/0.42 inference(split_clause,[status(thm)],[f855,f845,f852,f112])).
% 0.17/0.42 fof(f860,plain,(
% 0.17/0.42 ~sk_c7=sk_c7|spl0_22),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f173,f854])).
% 0.17/0.42 fof(f861,plain,(
% 0.17/0.42 $false|spl0_22),
% 0.17/0.42 inference(trivial_equality_resolution,[status(esa)],[f860])).
% 0.17/0.42 fof(f862,plain,(
% 0.17/0.42 spl0_22),
% 0.17/0.42 inference(contradiction_clause,[status(thm)],[f861])).
% 0.17/0.42 fof(f863,plain,(
% 0.17/0.42 ~sk_c1=sk_c6|~spl0_7|spl0_1),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f603,f63])).
% 0.17/0.42 fof(f1723,plain,(
% 0.17/0.42 multiply(sk_c1,sk_c6)=sk_c7|~spl0_7|~spl0_2|~spl0_3),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f640,f70])).
% 0.17/0.42 fof(f1749,plain,(
% 0.17/0.42 inverse(sk_c7)=multiply(inverse(sk_c6),sk_c6)|~spl0_9|~spl0_8),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f631,f225])).
% 0.17/0.42 fof(f1750,plain,(
% 0.17/0.42 sk_c1=multiply(inverse(sk_c6),sk_c6)|~spl0_7|~spl0_9|~spl0_8),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f603,f1749])).
% 0.17/0.42 fof(f1751,plain,(
% 0.17/0.42 sk_c1=identity|~spl0_7|~spl0_9|~spl0_8),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f30,f1750])).
% 0.17/0.42 fof(f1752,plain,(
% 0.17/0.42 sk_c7=multiply(inverse(sk_c6),sk_c6)|~spl0_9|~spl0_8),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f631,f131])).
% 0.17/0.42 fof(f1753,plain,(
% 0.17/0.42 sk_c7=identity|~spl0_9|~spl0_8),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f30,f1752])).
% 0.17/0.42 fof(f1754,plain,(
% 0.17/0.42 $false|spl0_17|~spl0_9|~spl0_8),
% 0.17/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1753,f823])).
% 0.17/0.42 fof(f1755,plain,(
% 0.17/0.42 spl0_17|~spl0_9|~spl0_8),
% 0.17/0.42 inference(contradiction_clause,[status(thm)],[f1754])).
% 0.17/0.42 fof(f1757,plain,(
% 0.17/0.42 identity=sk_c7|~spl0_17),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f152,f815])).
% 0.17/0.42 fof(f1758,plain,(
% 0.17/0.42 multiply(identity,sk_c6)=sk_c7|~spl0_9|~spl0_8|~spl0_7|~spl0_2|~spl0_3),
% 0.17/0.42 inference(backward_demodulation,[status(thm)],[f1751,f1723])).
% 0.17/0.42 fof(f1759,plain,(
% 0.17/0.42 sk_c6=sk_c7|~spl0_9|~spl0_8|~spl0_7|~spl0_2|~spl0_3),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f29,f1758])).
% 0.17/0.42 fof(f1760,plain,(
% 0.17/0.42 $false|spl0_18|~spl0_9|~spl0_8|~spl0_7|~spl0_2|~spl0_3),
% 0.17/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1759,f819])).
% 0.17/0.42 fof(f1761,plain,(
% 0.17/0.42 spl0_18|~spl0_9|~spl0_8|~spl0_7|~spl0_2|~spl0_3),
% 0.17/0.42 inference(contradiction_clause,[status(thm)],[f1760])).
% 0.17/0.42 fof(f1767,plain,(
% 0.17/0.42 inverse(sk_c6)=sk_c7|~spl0_1),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f62,f173])).
% 0.17/0.42 fof(f1776,plain,(
% 0.17/0.42 inverse(sk_c7)=sk_c3|~spl0_2),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f66,f173])).
% 0.17/0.42 fof(f1777,plain,(
% 0.17/0.42 sk_c6=sk_c3|~spl0_1|~spl0_2),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f62,f1776])).
% 0.17/0.42 fof(f1806,plain,(
% 0.17/0.42 inverse(sk_c7)=sk_c4|~spl0_6),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f82,f173])).
% 0.17/0.42 fof(f1807,plain,(
% 0.17/0.42 sk_c6=sk_c4|~spl0_1|~spl0_6),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f62,f1806])).
% 0.17/0.42 fof(f1819,plain,(
% 0.17/0.42 multiply(sk_c6,sk_c7)=identity|~spl0_1),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f1767,f143])).
% 0.17/0.42 fof(f1822,plain,(
% 0.17/0.42 multiply(sk_c6,sk_c7)=sk_c5|~spl0_1|~spl0_6|~spl0_5),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1807,f78])).
% 0.17/0.42 fof(f1831,plain,(
% 0.17/0.42 sk_c7=multiply(inverse(sk_c6),sk_c5)|~spl0_1|~spl0_6|~spl0_5),
% 0.17/0.42 inference(paramodulation,[status(thm)],[f1822,f131])).
% 0.17/0.42 fof(f1832,plain,(
% 0.17/0.42 sk_c7=multiply(sk_c7,sk_c5)|~spl0_1|~spl0_6|~spl0_5),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1767,f1831])).
% 0.17/0.42 fof(f1833,plain,(
% 0.17/0.42 sk_c7=sk_c6|~spl0_4|~spl0_1|~spl0_6|~spl0_5),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f74,f1832])).
% 0.17/0.42 fof(f1834,plain,(
% 0.17/0.42 $false|spl0_18|~spl0_4|~spl0_1|~spl0_6|~spl0_5),
% 0.17/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1833,f819])).
% 0.17/0.42 fof(f1835,plain,(
% 0.17/0.42 spl0_18|~spl0_4|~spl0_1|~spl0_6|~spl0_5),
% 0.17/0.42 inference(contradiction_clause,[status(thm)],[f1834])).
% 0.17/0.42 fof(f1836,plain,(
% 0.17/0.42 $false|spl0_15|~spl0_17),
% 0.17/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1757,f804])).
% 0.17/0.42 fof(f1837,plain,(
% 0.17/0.42 spl0_15|~spl0_17),
% 0.17/0.42 inference(contradiction_clause,[status(thm)],[f1836])).
% 0.17/0.42 fof(f1838,plain,(
% 0.17/0.42 ~spl0_18|spl0_16),
% 0.17/0.42 inference(split_clause,[status(thm)],[f824,f817,f809])).
% 0.17/0.42 fof(f1856,plain,(
% 0.17/0.42 sk_c6=identity|~spl0_0|~spl0_7),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f59,f707])).
% 0.17/0.42 fof(f2547,plain,(
% 0.17/0.42 ~identity=sk_c6|~spl0_9|~spl0_8|~spl0_7|spl0_1),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1751,f863])).
% 0.17/0.42 fof(f2548,plain,(
% 0.17/0.42 ~identity=identity|~spl0_0|~spl0_9|~spl0_8|~spl0_7|spl0_1),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1856,f2547])).
% 0.17/0.42 fof(f2549,plain,(
% 0.17/0.42 $false|~spl0_0|~spl0_9|~spl0_8|~spl0_7|spl0_1),
% 0.17/0.42 inference(trivial_equality_resolution,[status(esa)],[f2548])).
% 0.17/0.42 fof(f2550,plain,(
% 0.17/0.42 ~spl0_0|~spl0_9|~spl0_8|~spl0_7|spl0_1),
% 0.17/0.42 inference(contradiction_clause,[status(thm)],[f2549])).
% 0.17/0.42 fof(f2551,plain,(
% 0.17/0.42 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c7|~spl0_17|~spl0_10)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1757,f113])).
% 0.17/0.42 fof(f2552,plain,(
% 0.17/0.42 ![X0]: (~X0=sk_c6|~inverse(X0)=sk_c7|~spl0_17|~spl0_10)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f171,f2551])).
% 0.17/0.42 fof(f2553,plain,(
% 0.17/0.42 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_0|~spl0_7|~spl0_17|~spl0_10)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1856,f2552])).
% 0.17/0.42 fof(f2554,plain,(
% 0.17/0.42 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_0|~spl0_7|~spl0_17|~spl0_10)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1757,f2553])).
% 0.17/0.42 fof(f2555,plain,(
% 0.17/0.42 ~inverse(identity)=identity|~spl0_0|~spl0_7|~spl0_17|~spl0_10),
% 0.17/0.42 inference(destructive_equality_resolution,[status(esa)],[f2554])).
% 0.17/0.42 fof(f2556,plain,(
% 0.17/0.42 $false|~spl0_0|~spl0_7|~spl0_17|~spl0_10),
% 0.17/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2555,f152])).
% 0.17/0.42 fof(f2557,plain,(
% 0.17/0.42 ~spl0_0|~spl0_7|~spl0_17|~spl0_10),
% 0.17/0.42 inference(contradiction_clause,[status(thm)],[f2556])).
% 0.17/0.42 fof(f2658,plain,(
% 0.17/0.42 ![X0]: (~multiply(identity,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~spl0_17|~spl0_13)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1757,f125])).
% 0.17/0.42 fof(f2659,plain,(
% 0.17/0.42 ![X0]: (~multiply(X0,sk_c7)=sk_c6|~inverse(X0)=sk_c7|~spl0_17|~spl0_13)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f29,f2658])).
% 0.17/0.42 fof(f2660,plain,(
% 0.17/0.42 ![X0]: (~multiply(X0,identity)=sk_c6|~inverse(X0)=sk_c7|~spl0_17|~spl0_13)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1757,f2659])).
% 0.17/0.42 fof(f2661,plain,(
% 0.17/0.42 ![X0]: (~X0=sk_c6|~inverse(X0)=sk_c7|~spl0_17|~spl0_13)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f171,f2660])).
% 0.17/0.42 fof(f2662,plain,(
% 0.17/0.42 ![X0]: (~X0=identity|~inverse(X0)=sk_c7|~spl0_0|~spl0_7|~spl0_17|~spl0_13)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1856,f2661])).
% 0.17/0.42 fof(f2663,plain,(
% 0.17/0.42 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_0|~spl0_7|~spl0_17|~spl0_13)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1757,f2662])).
% 0.17/0.42 fof(f2664,plain,(
% 0.17/0.42 ~inverse(identity)=identity|~spl0_0|~spl0_7|~spl0_17|~spl0_13),
% 0.17/0.42 inference(destructive_equality_resolution,[status(esa)],[f2663])).
% 0.17/0.42 fof(f2665,plain,(
% 0.17/0.42 $false|~spl0_0|~spl0_7|~spl0_17|~spl0_13),
% 0.17/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2664,f152])).
% 0.17/0.42 fof(f2666,plain,(
% 0.17/0.42 ~spl0_0|~spl0_7|~spl0_17|~spl0_13),
% 0.17/0.42 inference(contradiction_clause,[status(thm)],[f2665])).
% 0.17/0.42 fof(f2667,plain,(
% 0.17/0.42 ![X0]: (~inverse(X0)=identity|~multiply(X0,sk_c6)=sk_c7|~spl0_17|~spl0_12)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1757,f119])).
% 0.17/0.42 fof(f2668,plain,(
% 0.17/0.42 ![X0]: (~inverse(X0)=identity|~multiply(X0,identity)=sk_c7|~spl0_0|~spl0_7|~spl0_17|~spl0_12)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1856,f2667])).
% 0.17/0.42 fof(f2669,plain,(
% 0.17/0.42 ![X0]: (~inverse(X0)=identity|~X0=sk_c7|~spl0_0|~spl0_7|~spl0_17|~spl0_12)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f171,f2668])).
% 0.17/0.42 fof(f2670,plain,(
% 0.17/0.42 ![X0]: (~inverse(X0)=identity|~X0=identity|~spl0_0|~spl0_7|~spl0_17|~spl0_12)),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f1757,f2669])).
% 0.17/0.42 fof(f2671,plain,(
% 0.17/0.42 ~inverse(identity)=identity|~spl0_0|~spl0_7|~spl0_17|~spl0_12),
% 0.17/0.42 inference(destructive_equality_resolution,[status(esa)],[f2670])).
% 0.17/0.42 fof(f2672,plain,(
% 0.17/0.42 $false|~spl0_0|~spl0_7|~spl0_17|~spl0_12),
% 0.17/0.42 inference(forward_subsumption_resolution,[status(thm)],[f2671,f152])).
% 0.17/0.42 fof(f2673,plain,(
% 0.17/0.42 ~spl0_0|~spl0_7|~spl0_17|~spl0_12),
% 0.17/0.42 inference(contradiction_clause,[status(thm)],[f2672])).
% 0.17/0.42 fof(f2675,plain,(
% 0.17/0.42 ~identity=sk_c7|~spl0_18|spl0_21),
% 0.17/0.42 inference(backward_demodulation,[status(thm)],[f818,f847])).
% 0.17/0.42 fof(f2676,plain,(
% 0.17/0.42 sk_c7=sk_c3|~spl0_18|~spl0_1|~spl0_2),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f818,f1777])).
% 0.17/0.42 fof(f2678,plain,(
% 0.17/0.42 inverse(sk_c7)=sk_c7|~spl0_18|~spl0_1|~spl0_2),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f2676,f66])).
% 0.17/0.42 fof(f2695,plain,(
% 0.17/0.42 multiply(sk_c7,sk_c7)=identity|~spl0_18|~spl0_1),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f818,f1819])).
% 0.17/0.42 fof(f3073,plain,(
% 0.17/0.42 multiply(sk_c7,sk_c6)=sk_c7|~spl0_18|~spl0_1|~spl0_2|~spl0_3),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f2676,f70])).
% 0.17/0.42 fof(f3074,plain,(
% 0.17/0.42 multiply(sk_c7,sk_c7)=sk_c7|~spl0_18|~spl0_1|~spl0_2|~spl0_3),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f818,f3073])).
% 0.17/0.42 fof(f3075,plain,(
% 0.17/0.42 identity=sk_c7|~spl0_18|~spl0_1|~spl0_2|~spl0_3),
% 0.17/0.42 inference(forward_demodulation,[status(thm)],[f2695,f3074])).
% 0.17/0.42 fof(f3076,plain,(
% 0.17/0.42 $false|spl0_15|~spl0_18|~spl0_1|~spl0_2|~spl0_3),
% 0.17/0.42 inference(forward_subsumption_resolution,[status(thm)],[f3075,f804])).
% 0.17/0.42 fof(f3077,plain,(
% 0.17/0.42 spl0_15|~spl0_18|~spl0_1|~spl0_2|~spl0_3),
% 0.17/0.42 inference(contradiction_clause,[status(thm)],[f3076])).
% 0.17/0.43 fof(f3078,plain,(
% 0.17/0.43 ~spl0_15|~spl0_18|spl0_21),
% 0.17/0.43 inference(split_clause,[status(thm)],[f2675,f802,f817,f845])).
% 0.17/0.43 fof(f3079,plain,(
% 0.17/0.43 ~spl0_15|spl0_17),
% 0.17/0.43 inference(split_clause,[status(thm)],[f823,f802,f814])).
% 0.17/0.43 fof(f3097,plain,(
% 0.17/0.43 ![X0]: (~X0=sk_c7|~inverse(X0)=sk_c7|~spl0_18|~spl0_17|~spl0_13)),
% 0.17/0.43 inference(forward_demodulation,[status(thm)],[f818,f2661])).
% 0.17/0.43 fof(f3098,plain,(
% 0.17/0.43 ~inverse(sk_c7)=sk_c7|~spl0_18|~spl0_17|~spl0_13),
% 0.17/0.43 inference(destructive_equality_resolution,[status(esa)],[f3097])).
% 0.17/0.43 fof(f3099,plain,(
% 0.17/0.43 $false|~spl0_1|~spl0_2|~spl0_18|~spl0_17|~spl0_13),
% 0.17/0.43 inference(forward_subsumption_resolution,[status(thm)],[f3098,f2678])).
% 0.17/0.43 fof(f3100,plain,(
% 0.17/0.43 ~spl0_1|~spl0_2|~spl0_18|~spl0_17|~spl0_13),
% 0.17/0.43 inference(contradiction_clause,[status(thm)],[f3099])).
% 0.17/0.43 fof(f3101,plain,(
% 0.17/0.43 $false),
% 0.17/0.43 inference(sat_refutation,[status(thm)],[f64,f68,f72,f76,f80,f84,f88,f89,f91,f92,f93,f97,f98,f99,f100,f101,f102,f106,f107,f108,f109,f110,f111,f124,f806,f813,f834,f844,f856,f862,f1755,f1761,f1835,f1837,f1838,f2550,f2557,f2666,f2673,f3077,f3078,f3079,f3100])).
% 0.17/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.44 % Elapsed time: 0.112739 seconds
% 0.17/0.44 % CPU time: 0.783766 seconds
% 0.17/0.44 % Total memory used: 77.027 MB
% 0.17/0.44 % Net memory used: 76.311 MB
%------------------------------------------------------------------------------