TSTP Solution File: GRP271-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP271-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 20:19:56 EDT 2024
% Result : Unsatisfiable 1.94s 0.62s
% Output : CNFRefutation 1.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP271-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:19:32 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.6.0
% 1.94/0.62 % Refutation found
% 1.94/0.62 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.94/0.62 % SZS output start CNFRefutation for theBenchmark
% 1.94/0.62 fof(f1,axiom,(
% 1.94/0.62 (![X]: (multiply(identity,X) = X ))),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f2,axiom,(
% 1.94/0.62 (![X]: (multiply(inverse(X),X) = identity ))),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f3,axiom,(
% 1.94/0.62 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f4,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f5,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f6,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f7,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f8,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f9,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c1,sk_c11) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f14,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c1) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f15,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c1) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f16,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c1) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f17,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c1) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f18,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c1) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f19,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c1) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f24,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f25,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f26,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f27,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f28,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f29,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c11,sk_c9) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f34,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f35,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c3) = sk_c11 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f36,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f37,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f38,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c2,sk_c10) = sk_c9| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f39,negated_conjecture,(
% 1.94/0.62 ( multiply(sk_c2,sk_c10) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f44,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c2) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f45,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c2) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f46,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c2) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f47,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c2) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f48,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c2) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f49,negated_conjecture,(
% 1.94/0.62 ( inverse(sk_c2) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f54,negated_conjecture,(
% 1.94/0.62 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( multiply(X3,sk_c11) != sk_c10| inverse(X3) != sk_c11| multiply(sk_c11,sk_c9) != sk_c10| multiply(X4,sk_c10) != sk_c9| inverse(X4) != sk_c10| multiply(X1,sk_c11) != sk_c10| inverse(X1) != sk_c11| multiply(X2,sk_c10) != sk_c9| inverse(X2) != sk_c10| multiply(X5,X6) != sk_c11| inverse(X5) != X6| multiply(X6,sk_c10) != sk_c11| inverse(X7) != X8| inverse(X8) != X6| multiply(X7,X6) != X8 ) ))),
% 1.94/0.62 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.94/0.62 fof(f55,plain,(
% 1.94/0.62 ![X0]: (multiply(identity,X0)=X0)),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f1])).
% 1.94/0.62 fof(f56,plain,(
% 1.94/0.62 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f2])).
% 1.94/0.62 fof(f57,plain,(
% 1.94/0.62 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f3])).
% 1.94/0.62 fof(f58,plain,(
% 1.94/0.62 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f4])).
% 1.94/0.62 fof(f59,plain,(
% 1.94/0.62 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c3)=sk_c11),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f5])).
% 1.94/0.62 fof(f60,plain,(
% 1.94/0.62 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f6])).
% 1.94/0.62 fof(f61,plain,(
% 1.94/0.62 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c4)=sk_c10),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f7])).
% 1.94/0.62 fof(f62,plain,(
% 1.94/0.62 multiply(sk_c1,sk_c11)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f8])).
% 1.94/0.62 fof(f63,plain,(
% 1.94/0.62 multiply(sk_c1,sk_c11)=sk_c10|inverse(sk_c5)=sk_c8),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f9])).
% 1.94/0.62 fof(f68,plain,(
% 1.94/0.62 inverse(sk_c1)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f14])).
% 1.94/0.62 fof(f69,plain,(
% 1.94/0.62 inverse(sk_c1)=sk_c11|inverse(sk_c3)=sk_c11),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f15])).
% 1.94/0.62 fof(f70,plain,(
% 1.94/0.62 inverse(sk_c1)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f16])).
% 1.94/0.62 fof(f71,plain,(
% 1.94/0.62 inverse(sk_c1)=sk_c11|inverse(sk_c4)=sk_c10),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f17])).
% 1.94/0.62 fof(f72,plain,(
% 1.94/0.62 inverse(sk_c1)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f18])).
% 1.94/0.62 fof(f73,plain,(
% 1.94/0.62 inverse(sk_c1)=sk_c11|inverse(sk_c5)=sk_c8),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f19])).
% 1.94/0.62 fof(f78,plain,(
% 1.94/0.62 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f24])).
% 1.94/0.62 fof(f79,plain,(
% 1.94/0.62 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f25])).
% 1.94/0.62 fof(f80,plain,(
% 1.94/0.62 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f26])).
% 1.94/0.62 fof(f81,plain,(
% 1.94/0.62 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 1.94/0.62 inference(cnf_transformation,[status(esa)],[f27])).
% 1.94/0.62 fof(f82,plain,(
% 1.94/0.62 multiply(sk_c11,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f28])).
% 1.94/0.63 fof(f83,plain,(
% 1.94/0.63 multiply(sk_c11,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f29])).
% 1.94/0.63 fof(f88,plain,(
% 1.94/0.63 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c3,sk_c11)=sk_c10),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f34])).
% 1.94/0.63 fof(f89,plain,(
% 1.94/0.63 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c3)=sk_c11),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f35])).
% 1.94/0.63 fof(f90,plain,(
% 1.94/0.63 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f36])).
% 1.94/0.63 fof(f91,plain,(
% 1.94/0.63 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c4)=sk_c10),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f37])).
% 1.94/0.63 fof(f92,plain,(
% 1.94/0.63 multiply(sk_c2,sk_c10)=sk_c9|multiply(sk_c5,sk_c8)=sk_c11),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f38])).
% 1.94/0.63 fof(f93,plain,(
% 1.94/0.63 multiply(sk_c2,sk_c10)=sk_c9|inverse(sk_c5)=sk_c8),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f39])).
% 1.94/0.63 fof(f98,plain,(
% 1.94/0.63 inverse(sk_c2)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f44])).
% 1.94/0.63 fof(f99,plain,(
% 1.94/0.63 inverse(sk_c2)=sk_c10|inverse(sk_c3)=sk_c11),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f45])).
% 1.94/0.63 fof(f100,plain,(
% 1.94/0.63 inverse(sk_c2)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f46])).
% 1.94/0.63 fof(f101,plain,(
% 1.94/0.63 inverse(sk_c2)=sk_c10|inverse(sk_c4)=sk_c10),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f47])).
% 1.94/0.63 fof(f102,plain,(
% 1.94/0.63 inverse(sk_c2)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f48])).
% 1.94/0.63 fof(f103,plain,(
% 1.94/0.63 inverse(sk_c2)=sk_c10|inverse(sk_c5)=sk_c8),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f49])).
% 1.94/0.63 fof(f108,plain,(
% 1.94/0.63 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: (((![X4]: ((((![X3]: (~multiply(X3,sk_c11)=sk_c10|~inverse(X3)=sk_c11))|~multiply(sk_c11,sk_c9)=sk_c10)|~multiply(X4,sk_c10)=sk_c9)|~inverse(X4)=sk_c10))|~multiply(X1,sk_c11)=sk_c10)|~inverse(X1)=sk_c11))|~multiply(X2,sk_c10)=sk_c9)|~inverse(X2)=sk_c10))|~multiply(X5,X6)=sk_c11)|~inverse(X5)=X6))|~multiply(X6,sk_c10)=sk_c11)|~inverse(X7)=X8)|~inverse(X8)=X6)|~multiply(X7,X6)=X8)),
% 1.94/0.63 inference(miniscoping,[status(esa)],[f54])).
% 1.94/0.63 fof(f109,plain,(
% 1.94/0.63 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~multiply(sk_c11,sk_c9)=sk_c10|~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10|~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11|~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10|~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7)),
% 1.94/0.63 inference(cnf_transformation,[status(esa)],[f108])).
% 1.94/0.63 fof(f110,plain,(
% 1.94/0.63 spl0_0 <=> multiply(sk_c1,sk_c11)=sk_c10),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f111,plain,(
% 1.94/0.63 multiply(sk_c1,sk_c11)=sk_c10|~spl0_0),
% 1.94/0.63 inference(component_clause,[status(thm)],[f110])).
% 1.94/0.63 fof(f113,plain,(
% 1.94/0.63 spl0_1 <=> multiply(sk_c3,sk_c11)=sk_c10),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f114,plain,(
% 1.94/0.63 multiply(sk_c3,sk_c11)=sk_c10|~spl0_1),
% 1.94/0.63 inference(component_clause,[status(thm)],[f113])).
% 1.94/0.63 fof(f116,plain,(
% 1.94/0.63 spl0_0|spl0_1),
% 1.94/0.63 inference(split_clause,[status(thm)],[f58,f110,f113])).
% 1.94/0.63 fof(f117,plain,(
% 1.94/0.63 spl0_2 <=> inverse(sk_c3)=sk_c11),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f118,plain,(
% 1.94/0.63 inverse(sk_c3)=sk_c11|~spl0_2),
% 1.94/0.63 inference(component_clause,[status(thm)],[f117])).
% 1.94/0.63 fof(f120,plain,(
% 1.94/0.63 spl0_0|spl0_2),
% 1.94/0.63 inference(split_clause,[status(thm)],[f59,f110,f117])).
% 1.94/0.63 fof(f121,plain,(
% 1.94/0.63 spl0_3 <=> multiply(sk_c4,sk_c10)=sk_c9),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f122,plain,(
% 1.94/0.63 multiply(sk_c4,sk_c10)=sk_c9|~spl0_3),
% 1.94/0.63 inference(component_clause,[status(thm)],[f121])).
% 1.94/0.63 fof(f124,plain,(
% 1.94/0.63 spl0_0|spl0_3),
% 1.94/0.63 inference(split_clause,[status(thm)],[f60,f110,f121])).
% 1.94/0.63 fof(f125,plain,(
% 1.94/0.63 spl0_4 <=> inverse(sk_c4)=sk_c10),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f126,plain,(
% 1.94/0.63 inverse(sk_c4)=sk_c10|~spl0_4),
% 1.94/0.63 inference(component_clause,[status(thm)],[f125])).
% 1.94/0.63 fof(f128,plain,(
% 1.94/0.63 spl0_0|spl0_4),
% 1.94/0.63 inference(split_clause,[status(thm)],[f61,f110,f125])).
% 1.94/0.63 fof(f129,plain,(
% 1.94/0.63 spl0_5 <=> multiply(sk_c5,sk_c8)=sk_c11),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f130,plain,(
% 1.94/0.63 multiply(sk_c5,sk_c8)=sk_c11|~spl0_5),
% 1.94/0.63 inference(component_clause,[status(thm)],[f129])).
% 1.94/0.63 fof(f132,plain,(
% 1.94/0.63 spl0_0|spl0_5),
% 1.94/0.63 inference(split_clause,[status(thm)],[f62,f110,f129])).
% 1.94/0.63 fof(f133,plain,(
% 1.94/0.63 spl0_6 <=> inverse(sk_c5)=sk_c8),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f134,plain,(
% 1.94/0.63 inverse(sk_c5)=sk_c8|~spl0_6),
% 1.94/0.63 inference(component_clause,[status(thm)],[f133])).
% 1.94/0.63 fof(f136,plain,(
% 1.94/0.63 spl0_0|spl0_6),
% 1.94/0.63 inference(split_clause,[status(thm)],[f63,f110,f133])).
% 1.94/0.63 fof(f153,plain,(
% 1.94/0.63 spl0_11 <=> inverse(sk_c1)=sk_c11),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f154,plain,(
% 1.94/0.63 inverse(sk_c1)=sk_c11|~spl0_11),
% 1.94/0.63 inference(component_clause,[status(thm)],[f153])).
% 1.94/0.63 fof(f156,plain,(
% 1.94/0.63 spl0_11|spl0_1),
% 1.94/0.63 inference(split_clause,[status(thm)],[f68,f153,f113])).
% 1.94/0.63 fof(f157,plain,(
% 1.94/0.63 spl0_11|spl0_2),
% 1.94/0.63 inference(split_clause,[status(thm)],[f69,f153,f117])).
% 1.94/0.63 fof(f158,plain,(
% 1.94/0.63 spl0_11|spl0_3),
% 1.94/0.63 inference(split_clause,[status(thm)],[f70,f153,f121])).
% 1.94/0.63 fof(f159,plain,(
% 1.94/0.63 spl0_11|spl0_4),
% 1.94/0.63 inference(split_clause,[status(thm)],[f71,f153,f125])).
% 1.94/0.63 fof(f160,plain,(
% 1.94/0.63 spl0_11|spl0_5),
% 1.94/0.63 inference(split_clause,[status(thm)],[f72,f153,f129])).
% 1.94/0.63 fof(f161,plain,(
% 1.94/0.63 spl0_11|spl0_6),
% 1.94/0.63 inference(split_clause,[status(thm)],[f73,f153,f133])).
% 1.94/0.63 fof(f166,plain,(
% 1.94/0.63 spl0_12 <=> multiply(sk_c11,sk_c9)=sk_c10),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f167,plain,(
% 1.94/0.63 multiply(sk_c11,sk_c9)=sk_c10|~spl0_12),
% 1.94/0.63 inference(component_clause,[status(thm)],[f166])).
% 1.94/0.63 fof(f168,plain,(
% 1.94/0.63 ~multiply(sk_c11,sk_c9)=sk_c10|spl0_12),
% 1.94/0.63 inference(component_clause,[status(thm)],[f166])).
% 1.94/0.63 fof(f169,plain,(
% 1.94/0.63 spl0_12|spl0_1),
% 1.94/0.63 inference(split_clause,[status(thm)],[f78,f166,f113])).
% 1.94/0.63 fof(f170,plain,(
% 1.94/0.63 spl0_12|spl0_2),
% 1.94/0.63 inference(split_clause,[status(thm)],[f79,f166,f117])).
% 1.94/0.63 fof(f171,plain,(
% 1.94/0.63 spl0_12|spl0_3),
% 1.94/0.63 inference(split_clause,[status(thm)],[f80,f166,f121])).
% 1.94/0.63 fof(f172,plain,(
% 1.94/0.63 spl0_12|spl0_4),
% 1.94/0.63 inference(split_clause,[status(thm)],[f81,f166,f125])).
% 1.94/0.63 fof(f173,plain,(
% 1.94/0.63 spl0_12|spl0_5),
% 1.94/0.63 inference(split_clause,[status(thm)],[f82,f166,f129])).
% 1.94/0.63 fof(f174,plain,(
% 1.94/0.63 spl0_12|spl0_6),
% 1.94/0.63 inference(split_clause,[status(thm)],[f83,f166,f133])).
% 1.94/0.63 fof(f179,plain,(
% 1.94/0.63 spl0_13 <=> multiply(sk_c2,sk_c10)=sk_c9),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f180,plain,(
% 1.94/0.63 multiply(sk_c2,sk_c10)=sk_c9|~spl0_13),
% 1.94/0.63 inference(component_clause,[status(thm)],[f179])).
% 1.94/0.63 fof(f182,plain,(
% 1.94/0.63 spl0_13|spl0_1),
% 1.94/0.63 inference(split_clause,[status(thm)],[f88,f179,f113])).
% 1.94/0.63 fof(f183,plain,(
% 1.94/0.63 spl0_13|spl0_2),
% 1.94/0.63 inference(split_clause,[status(thm)],[f89,f179,f117])).
% 1.94/0.63 fof(f184,plain,(
% 1.94/0.63 spl0_13|spl0_3),
% 1.94/0.63 inference(split_clause,[status(thm)],[f90,f179,f121])).
% 1.94/0.63 fof(f185,plain,(
% 1.94/0.63 spl0_13|spl0_4),
% 1.94/0.63 inference(split_clause,[status(thm)],[f91,f179,f125])).
% 1.94/0.63 fof(f186,plain,(
% 1.94/0.63 spl0_13|spl0_5),
% 1.94/0.63 inference(split_clause,[status(thm)],[f92,f179,f129])).
% 1.94/0.63 fof(f187,plain,(
% 1.94/0.63 spl0_13|spl0_6),
% 1.94/0.63 inference(split_clause,[status(thm)],[f93,f179,f133])).
% 1.94/0.63 fof(f192,plain,(
% 1.94/0.63 spl0_14 <=> inverse(sk_c2)=sk_c10),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f193,plain,(
% 1.94/0.63 inverse(sk_c2)=sk_c10|~spl0_14),
% 1.94/0.63 inference(component_clause,[status(thm)],[f192])).
% 1.94/0.63 fof(f195,plain,(
% 1.94/0.63 spl0_14|spl0_1),
% 1.94/0.63 inference(split_clause,[status(thm)],[f98,f192,f113])).
% 1.94/0.63 fof(f196,plain,(
% 1.94/0.63 spl0_14|spl0_2),
% 1.94/0.63 inference(split_clause,[status(thm)],[f99,f192,f117])).
% 1.94/0.63 fof(f197,plain,(
% 1.94/0.63 spl0_14|spl0_3),
% 1.94/0.63 inference(split_clause,[status(thm)],[f100,f192,f121])).
% 1.94/0.63 fof(f198,plain,(
% 1.94/0.63 spl0_14|spl0_4),
% 1.94/0.63 inference(split_clause,[status(thm)],[f101,f192,f125])).
% 1.94/0.63 fof(f199,plain,(
% 1.94/0.63 spl0_14|spl0_5),
% 1.94/0.63 inference(split_clause,[status(thm)],[f102,f192,f129])).
% 1.94/0.63 fof(f200,plain,(
% 1.94/0.63 spl0_14|spl0_6),
% 1.94/0.63 inference(split_clause,[status(thm)],[f103,f192,f133])).
% 1.94/0.63 fof(f205,plain,(
% 1.94/0.63 spl0_15 <=> ~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f206,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~spl0_15)),
% 1.94/0.63 inference(component_clause,[status(thm)],[f205])).
% 1.94/0.63 fof(f208,plain,(
% 1.94/0.63 spl0_16 <=> ~multiply(X1,sk_c10)=sk_c9|~inverse(X1)=sk_c10),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f209,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~spl0_16)),
% 1.94/0.63 inference(component_clause,[status(thm)],[f208])).
% 1.94/0.63 fof(f211,plain,(
% 1.94/0.63 spl0_17 <=> ~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f212,plain,(
% 1.94/0.63 ![X0,X1,X2,X3]: (~multiply(X0,X1)=sk_c11|~inverse(X0)=X1|~multiply(X1,sk_c10)=sk_c11|~inverse(X2)=X3|~inverse(X3)=X1|~multiply(X2,X1)=X3|~spl0_17)),
% 1.94/0.63 inference(component_clause,[status(thm)],[f211])).
% 1.94/0.63 fof(f214,plain,(
% 1.94/0.63 spl0_15|~spl0_12|spl0_16|spl0_17),
% 1.94/0.63 inference(split_clause,[status(thm)],[f109,f205,f166,f208,f211])).
% 1.94/0.63 fof(f215,plain,(
% 1.94/0.63 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_17)),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f212])).
% 1.94/0.63 fof(f220,plain,(
% 1.94/0.63 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f56,f57])).
% 1.94/0.63 fof(f221,plain,(
% 1.94/0.63 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f55,f220])).
% 1.94/0.63 fof(f222,plain,(
% 1.94/0.63 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f221,f221])).
% 1.94/0.63 fof(f223,plain,(
% 1.94/0.63 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f56,f221])).
% 1.94/0.63 fof(f225,plain,(
% 1.94/0.63 ![X0,X1,X2]: (X0=multiply(inverse(multiply(X1,X2)),multiply(X1,multiply(X2,X0))))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f57,f221])).
% 1.94/0.63 fof(f233,plain,(
% 1.94/0.63 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f56,f222])).
% 1.94/0.63 fof(f242,plain,(
% 1.94/0.63 inverse(identity)=identity),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f55,f233])).
% 1.94/0.63 fof(f261,plain,(
% 1.94/0.63 ![X0]: (X0=multiply(X0,identity))),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f222,f223])).
% 1.94/0.63 fof(f262,plain,(
% 1.94/0.63 ![X0]: (inverse(inverse(X0))=multiply(X0,identity))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f222,f261])).
% 1.94/0.63 fof(f263,plain,(
% 1.94/0.63 ![X0]: (inverse(inverse(X0))=X0)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f261,f262])).
% 1.94/0.63 fof(f314,plain,(
% 1.94/0.63 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),multiply(X1,identity)))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f233,f225])).
% 1.94/0.63 fof(f315,plain,(
% 1.94/0.63 ![X0,X1]: (inverse(X0)=multiply(inverse(multiply(X1,X0)),X1))),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f261,f314])).
% 1.94/0.63 fof(f410,plain,(
% 1.94/0.63 ![X0,X1]: (inverse(X0)=multiply(inverse(inverse(X1)),inverse(multiply(X0,X1))))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f315,f315])).
% 1.94/0.63 fof(f411,plain,(
% 1.94/0.63 ![X0,X1]: (inverse(X0)=multiply(X1,inverse(multiply(X0,X1))))),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f263,f410])).
% 1.94/0.63 fof(f412,plain,(
% 1.94/0.63 ![X0,X1]: (inverse(multiply(X0,X1))=multiply(inverse(X1),inverse(X0)))),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f221,f315])).
% 1.94/0.63 fof(f688,plain,(
% 1.94/0.63 inverse(sk_c10)=sk_c2|~spl0_14),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f193,f263])).
% 1.94/0.63 fof(f726,plain,(
% 1.94/0.63 multiply(sk_c4,sk_c10)=identity|~spl0_4),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f126,f233])).
% 1.94/0.63 fof(f730,plain,(
% 1.94/0.63 inverse(sk_c11)=sk_c3|~spl0_2),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f118,f263])).
% 1.94/0.63 fof(f738,plain,(
% 1.94/0.63 multiply(sk_c2,sk_c10)=identity|~spl0_14),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f688,f56])).
% 1.94/0.63 fof(f739,plain,(
% 1.94/0.63 sk_c9=identity|~spl0_13|~spl0_14),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f180,f738])).
% 1.94/0.63 fof(f820,plain,(
% 1.94/0.63 sk_c8=multiply(inverse(sk_c5),sk_c11)|~spl0_5),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f130,f221])).
% 1.94/0.63 fof(f821,plain,(
% 1.94/0.63 sk_c8=multiply(sk_c8,sk_c11)|~spl0_6|~spl0_5),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f134,f820])).
% 1.94/0.63 fof(f846,plain,(
% 1.94/0.63 multiply(sk_c11,identity)=sk_c10|~spl0_13|~spl0_14|~spl0_12),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f739,f167])).
% 1.94/0.63 fof(f847,plain,(
% 1.94/0.63 sk_c11=sk_c10|~spl0_13|~spl0_14|~spl0_12),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f261,f846])).
% 1.94/0.63 fof(f852,plain,(
% 1.94/0.63 multiply(sk_c1,sk_c11)=sk_c11|~spl0_13|~spl0_14|~spl0_12|~spl0_0),
% 1.94/0.63 inference(backward_demodulation,[status(thm)],[f847,f111])).
% 1.94/0.63 fof(f902,plain,(
% 1.94/0.63 ![X0,X1]: (~identity=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f233,f215])).
% 1.94/0.63 fof(f902,plain,(
% 1.94/0.63 ![X0,X1]: (~identity=sk_c11|~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f233,f215])).
% 1.94/0.63 fof(f903,plain,(
% 1.94/0.63 ![X0,X1]: (~identity=sk_c11|~multiply(inverse(X0),sk_c11)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_13|~spl0_14|~spl0_12|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f847,f902])).
% 1.94/0.63 fof(f904,plain,(
% 1.94/0.63 ![X0,X1]: (~identity=sk_c11|~multiply(inverse(X0),sk_c11)=sk_c11|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_13|~spl0_14|~spl0_12|~spl0_17)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f263,f903])).
% 1.94/0.63 fof(f905,plain,(
% 1.94/0.63 ![X0]: (~identity=sk_c11|~multiply(inverse(X0),sk_c11)=sk_c11|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_13|~spl0_14|~spl0_12|~spl0_17)),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f904])).
% 1.94/0.63 fof(f906,plain,(
% 1.94/0.63 spl0_18 <=> identity=sk_c11),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f908,plain,(
% 1.94/0.63 ~identity=sk_c11|spl0_18),
% 1.94/0.63 inference(component_clause,[status(thm)],[f906])).
% 1.94/0.63 fof(f917,plain,(
% 1.94/0.63 spl0_21 <=> multiply(inverse(sk_c11),sk_c11)=sk_c11),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f919,plain,(
% 1.94/0.63 ~multiply(inverse(sk_c11),sk_c11)=sk_c11|spl0_21),
% 1.94/0.63 inference(component_clause,[status(thm)],[f917])).
% 1.94/0.63 fof(f946,plain,(
% 1.94/0.63 spl0_28 <=> multiply(inverse(identity),sk_c11)=sk_c11),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f948,plain,(
% 1.94/0.63 ~multiply(inverse(identity),sk_c11)=sk_c11|spl0_28),
% 1.94/0.63 inference(component_clause,[status(thm)],[f946])).
% 1.94/0.63 fof(f949,plain,(
% 1.94/0.63 spl0_29 <=> multiply(identity,inverse(identity))=inverse(inverse(identity))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f951,plain,(
% 1.94/0.63 ~multiply(identity,inverse(identity))=inverse(inverse(identity))|spl0_29),
% 1.94/0.63 inference(component_clause,[status(thm)],[f949])).
% 1.94/0.63 fof(f952,plain,(
% 1.94/0.63 ~identity=sk_c11|~multiply(inverse(identity),sk_c11)=sk_c11|~multiply(identity,inverse(identity))=inverse(inverse(identity))|~spl0_13|~spl0_14|~spl0_12|~spl0_17),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f242,f905])).
% 1.94/0.63 fof(f953,plain,(
% 1.94/0.63 ~spl0_18|~spl0_28|~spl0_29|~spl0_13|~spl0_14|~spl0_12|~spl0_17),
% 1.94/0.63 inference(split_clause,[status(thm)],[f952,f906,f946,f949,f179,f192,f166,f211])).
% 1.94/0.63 fof(f979,plain,(
% 1.94/0.63 spl0_35 <=> multiply(inverse(identity),identity)=inverse(inverse(identity))),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f981,plain,(
% 1.94/0.63 ~multiply(inverse(identity),identity)=inverse(inverse(identity))|spl0_35),
% 1.94/0.63 inference(component_clause,[status(thm)],[f979])).
% 1.94/0.63 fof(f984,plain,(
% 1.94/0.63 ~identity=inverse(inverse(identity))|spl0_35),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f56,f981])).
% 1.94/0.63 fof(f985,plain,(
% 1.94/0.63 ~identity=identity|spl0_35),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f263,f984])).
% 1.94/0.63 fof(f986,plain,(
% 1.94/0.63 $false|spl0_35),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f985])).
% 1.94/0.63 fof(f987,plain,(
% 1.94/0.63 spl0_35),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f986])).
% 1.94/0.63 fof(f994,plain,(
% 1.94/0.63 ~inverse(identity)=inverse(inverse(identity))|spl0_29),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f55,f951])).
% 1.94/0.63 fof(f995,plain,(
% 1.94/0.63 ~identity=inverse(inverse(identity))|spl0_29),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f242,f994])).
% 1.94/0.63 fof(f996,plain,(
% 1.94/0.63 ~identity=identity|spl0_29),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f263,f995])).
% 1.94/0.63 fof(f997,plain,(
% 1.94/0.63 $false|spl0_29),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f996])).
% 1.94/0.63 fof(f998,plain,(
% 1.94/0.63 spl0_29),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f997])).
% 1.94/0.63 fof(f1005,plain,(
% 1.94/0.63 ~multiply(identity,sk_c11)=sk_c11|spl0_28),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f242,f948])).
% 1.94/0.63 fof(f1006,plain,(
% 1.94/0.63 ~sk_c11=sk_c11|spl0_28),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f55,f1005])).
% 1.94/0.63 fof(f1007,plain,(
% 1.94/0.63 $false|spl0_28),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f1006])).
% 1.94/0.63 fof(f1008,plain,(
% 1.94/0.63 spl0_28),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1007])).
% 1.94/0.63 fof(f1016,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,sk_c11)=sk_c11|~inverse(X0)=sk_c11|~spl0_13|~spl0_14|~spl0_12|~spl0_15)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f847,f206])).
% 1.94/0.63 fof(f1043,plain,(
% 1.94/0.63 inverse(sk_c1)=multiply(sk_c11,inverse(sk_c11))|~spl0_13|~spl0_14|~spl0_12|~spl0_0),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f852,f411])).
% 1.94/0.63 fof(f1044,plain,(
% 1.94/0.63 sk_c11=multiply(sk_c11,inverse(sk_c11))|~spl0_11|~spl0_13|~spl0_14|~spl0_12|~spl0_0),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f154,f1043])).
% 1.94/0.63 fof(f1045,plain,(
% 1.94/0.63 sk_c11=identity|~spl0_11|~spl0_13|~spl0_14|~spl0_12|~spl0_0),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f233,f1044])).
% 1.94/0.63 fof(f1045,plain,(
% 1.94/0.63 sk_c11=identity|~spl0_11|~spl0_13|~spl0_14|~spl0_12|~spl0_0),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f233,f1044])).
% 1.94/0.63 fof(f1892,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,identity)=sk_c11|~inverse(X0)=sk_c11|~spl0_11|~spl0_0|~spl0_13|~spl0_14|~spl0_12|~spl0_15)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f1045,f1016])).
% 1.94/0.63 fof(f1893,plain,(
% 1.94/0.63 ![X0]: (~X0=sk_c11|~inverse(X0)=sk_c11|~spl0_11|~spl0_0|~spl0_13|~spl0_14|~spl0_12|~spl0_15)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f261,f1892])).
% 1.94/0.63 fof(f1894,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=sk_c11|~spl0_11|~spl0_0|~spl0_13|~spl0_14|~spl0_12|~spl0_15)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f1045,f1893])).
% 1.94/0.63 fof(f1895,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_11|~spl0_0|~spl0_13|~spl0_14|~spl0_12|~spl0_15)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f1045,f1894])).
% 1.94/0.63 fof(f1896,plain,(
% 1.94/0.63 ~inverse(identity)=identity|~spl0_11|~spl0_0|~spl0_13|~spl0_14|~spl0_12|~spl0_15),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f1895])).
% 1.94/0.63 fof(f1897,plain,(
% 1.94/0.63 $false|~spl0_11|~spl0_0|~spl0_13|~spl0_14|~spl0_12|~spl0_15),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f1896,f242])).
% 1.94/0.63 fof(f1898,plain,(
% 1.94/0.63 ~spl0_11|~spl0_0|~spl0_13|~spl0_14|~spl0_12|~spl0_15),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1897])).
% 1.94/0.63 fof(f1921,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,sk_c10)=identity|~inverse(X0)=sk_c10|~spl0_13|~spl0_14|~spl0_16)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f739,f209])).
% 1.94/0.63 fof(f1935,plain,(
% 1.94/0.63 ~inverse(inverse(sk_c10))=sk_c10|~spl0_13|~spl0_14|~spl0_16),
% 1.94/0.63 inference(resolution,[status(thm)],[f1921,f56])).
% 1.94/0.63 fof(f1936,plain,(
% 1.94/0.63 ~sk_c10=sk_c10|~spl0_13|~spl0_14|~spl0_16),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f263,f1935])).
% 1.94/0.63 fof(f1937,plain,(
% 1.94/0.63 $false|~spl0_13|~spl0_14|~spl0_16),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f1936])).
% 1.94/0.63 fof(f1938,plain,(
% 1.94/0.63 ~spl0_13|~spl0_14|~spl0_16),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f1937])).
% 1.94/0.63 fof(f1939,plain,(
% 1.94/0.63 ~identity=sk_c11|spl0_21),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f56,f919])).
% 1.94/0.63 fof(f2713,plain,(
% 1.94/0.63 sk_c10=multiply(inverse(sk_c4),identity)|~spl0_4),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f726,f221])).
% 1.94/0.63 fof(f2714,plain,(
% 1.94/0.63 sk_c10=inverse(sk_c4)|~spl0_4),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f261,f2713])).
% 1.94/0.63 fof(f2729,plain,(
% 1.94/0.63 inverse(sk_c11)=multiply(inverse(sk_c8),sk_c8)|~spl0_6|~spl0_5),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f821,f315])).
% 1.94/0.63 fof(f2730,plain,(
% 1.94/0.63 sk_c3=multiply(inverse(sk_c8),sk_c8)|~spl0_2|~spl0_6|~spl0_5),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f730,f2729])).
% 1.94/0.63 fof(f2731,plain,(
% 1.94/0.63 sk_c3=identity|~spl0_2|~spl0_6|~spl0_5),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f56,f2730])).
% 1.94/0.63 fof(f2732,plain,(
% 1.94/0.63 sk_c11=multiply(inverse(sk_c8),sk_c8)|~spl0_6|~spl0_5),
% 1.94/0.63 inference(paramodulation,[status(thm)],[f821,f221])).
% 1.94/0.63 fof(f2733,plain,(
% 1.94/0.63 sk_c11=identity|~spl0_6|~spl0_5),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f56,f2732])).
% 1.94/0.63 fof(f2734,plain,(
% 1.94/0.63 $false|spl0_21|~spl0_6|~spl0_5),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f2733,f1939])).
% 1.94/0.63 fof(f2735,plain,(
% 1.94/0.63 spl0_21|~spl0_6|~spl0_5),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2734])).
% 1.94/0.63 fof(f2743,plain,(
% 1.94/0.63 ~identity=identity|~spl0_6|~spl0_5|spl0_18),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f2733,f908])).
% 1.94/0.63 fof(f2744,plain,(
% 1.94/0.63 $false|~spl0_6|~spl0_5|spl0_18),
% 1.94/0.63 inference(trivial_equality_resolution,[status(esa)],[f2743])).
% 1.94/0.63 fof(f2745,plain,(
% 1.94/0.63 ~spl0_6|~spl0_5|spl0_18),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f2744])).
% 1.94/0.63 fof(f2840,plain,(
% 1.94/0.63 ~multiply(identity,sk_c9)=sk_c10|~spl0_6|~spl0_5|spl0_12),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f2733,f168])).
% 1.94/0.63 fof(f2841,plain,(
% 1.94/0.63 ~sk_c9=sk_c10|~spl0_6|~spl0_5|spl0_12),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f55,f2840])).
% 1.94/0.63 fof(f3165,plain,(
% 1.94/0.63 multiply(identity,sk_c11)=sk_c10|~spl0_2|~spl0_6|~spl0_5|~spl0_1),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f2731,f114])).
% 1.94/0.63 fof(f3166,plain,(
% 1.94/0.63 sk_c11=sk_c10|~spl0_2|~spl0_6|~spl0_5|~spl0_1),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f55,f3165])).
% 1.94/0.63 fof(f3167,plain,(
% 1.94/0.63 identity=sk_c10|~spl0_2|~spl0_6|~spl0_5|~spl0_1),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f2733,f3166])).
% 1.94/0.63 fof(f3171,plain,(
% 1.94/0.63 ~sk_c9=identity|~spl0_2|~spl0_1|~spl0_6|~spl0_5|spl0_12),
% 1.94/0.63 inference(backward_demodulation,[status(thm)],[f3167,f2841])).
% 1.94/0.63 fof(f3222,plain,(
% 1.94/0.63 ![X0]: (~multiply(X0,identity)=sk_c10|~inverse(X0)=sk_c11|~spl0_6|~spl0_5|~spl0_15)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f2733,f206])).
% 1.94/0.63 fof(f3223,plain,(
% 1.94/0.63 ![X0]: (~X0=sk_c10|~inverse(X0)=sk_c11|~spl0_6|~spl0_5|~spl0_15)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f261,f3222])).
% 1.94/0.63 fof(f3224,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=sk_c11|~spl0_2|~spl0_1|~spl0_6|~spl0_5|~spl0_15)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3167,f3223])).
% 1.94/0.63 fof(f3225,plain,(
% 1.94/0.63 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_2|~spl0_1|~spl0_6|~spl0_5|~spl0_15)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f2733,f3224])).
% 1.94/0.63 fof(f3226,plain,(
% 1.94/0.63 ~inverse(identity)=identity|~spl0_2|~spl0_1|~spl0_6|~spl0_5|~spl0_15),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f3225])).
% 1.94/0.63 fof(f3227,plain,(
% 1.94/0.63 $false|~spl0_2|~spl0_1|~spl0_6|~spl0_5|~spl0_15),
% 1.94/0.63 inference(forward_subsumption_resolution,[status(thm)],[f3226,f242])).
% 1.94/0.63 fof(f3228,plain,(
% 1.94/0.63 ~spl0_2|~spl0_1|~spl0_6|~spl0_5|~spl0_15),
% 1.94/0.63 inference(contradiction_clause,[status(thm)],[f3227])).
% 1.94/0.63 fof(f3229,plain,(
% 1.94/0.63 spl0_36 <=> ~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)),
% 1.94/0.63 introduced(split_symbol_definition)).
% 1.94/0.63 fof(f3230,plain,(
% 1.94/0.63 ![X0,X1]: (~multiply(inverse(X0),sk_c10)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_36)),
% 1.94/0.63 inference(component_clause,[status(thm)],[f3229])).
% 1.94/0.63 fof(f3232,plain,(
% 1.94/0.63 ~spl0_18|spl0_36|~spl0_17),
% 1.94/0.63 inference(split_clause,[status(thm)],[f902,f906,f3229,f211])).
% 1.94/0.63 fof(f3233,plain,(
% 1.94/0.63 ![X0,X1]: (~multiply(inverse(X0),identity)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_36)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f3167,f3230])).
% 1.94/0.63 fof(f3234,plain,(
% 1.94/0.63 ![X0,X1]: (~inverse(X0)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_36)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f261,f3233])).
% 1.94/0.63 fof(f3235,plain,(
% 1.94/0.63 ![X0,X1]: (~inverse(X0)=identity|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_36)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f2733,f3234])).
% 1.94/0.63 fof(f3236,plain,(
% 1.94/0.63 ![X0,X1]: (~inverse(X0)=identity|~X1=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_36)),
% 1.94/0.63 inference(forward_demodulation,[status(thm)],[f263,f3235])).
% 1.94/0.63 fof(f3237,plain,(
% 1.94/0.63 ![X0]: (~inverse(X0)=identity|~multiply(inverse(X0),inverse(X0))=inverse(inverse(X0))|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_36)),
% 1.94/0.63 inference(destructive_equality_resolution,[status(esa)],[f3236])).
% 1.94/0.63 fof(f3848,plain,(
% 1.94/0.63 spl0_18|~spl0_11|~spl0_13|~spl0_14|~spl0_12|~spl0_0),
% 1.94/0.63 inference(split_clause,[status(thm)],[f1045,f906,f153,f179,f192,f166,f110])).
% 1.94/0.64 fof(f5847,plain,(
% 1.94/0.64 identity=inverse(sk_c4)|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_4),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f3167,f2714])).
% 1.94/0.64 fof(f5866,plain,(
% 1.94/0.64 inverse(identity)=sk_c4|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_4),
% 1.94/0.64 inference(paramodulation,[status(thm)],[f5847,f263])).
% 1.94/0.64 fof(f5867,plain,(
% 1.94/0.64 identity=sk_c4|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_4),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f242,f5866])).
% 1.94/0.64 fof(f6907,plain,(
% 1.94/0.64 multiply(identity,sk_c10)=sk_c9|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_4|~spl0_3),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f5867,f122])).
% 1.94/0.64 fof(f6908,plain,(
% 1.94/0.64 sk_c10=sk_c9|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_4|~spl0_3),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f55,f6907])).
% 1.94/0.64 fof(f6909,plain,(
% 1.94/0.64 identity=sk_c9|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_4|~spl0_3),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f3167,f6908])).
% 1.94/0.64 fof(f6910,plain,(
% 1.94/0.64 $false|spl0_12|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_4|~spl0_3),
% 1.94/0.64 inference(forward_subsumption_resolution,[status(thm)],[f6909,f3171])).
% 1.94/0.64 fof(f6911,plain,(
% 1.94/0.64 spl0_12|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_4|~spl0_3),
% 1.94/0.64 inference(contradiction_clause,[status(thm)],[f6910])).
% 1.94/0.64 fof(f6912,plain,(
% 1.94/0.64 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=inverse(inverse(X0))|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_36)),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f412,f3237])).
% 1.94/0.64 fof(f6913,plain,(
% 1.94/0.64 ![X0]: (~inverse(X0)=identity|~inverse(multiply(X0,X0))=X0|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_36)),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f263,f6912])).
% 1.94/0.64 fof(f7004,plain,(
% 1.94/0.64 spl0_38 <=> inverse(identity)=identity),
% 1.94/0.64 introduced(split_symbol_definition)).
% 1.94/0.64 fof(f7006,plain,(
% 1.94/0.64 ~inverse(identity)=identity|spl0_38),
% 1.94/0.64 inference(component_clause,[status(thm)],[f7004])).
% 1.94/0.64 fof(f7007,plain,(
% 1.94/0.64 ~inverse(identity)=identity|~inverse(identity)=identity|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_36),
% 1.94/0.64 inference(paramodulation,[status(thm)],[f55,f6913])).
% 1.94/0.64 fof(f7008,plain,(
% 1.94/0.64 ~spl0_38|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_36),
% 1.94/0.64 inference(split_clause,[status(thm)],[f7007,f7004,f117,f133,f129,f113,f3229])).
% 1.94/0.64 fof(f7012,plain,(
% 1.94/0.64 ~identity=identity|spl0_38),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f242,f7006])).
% 1.94/0.64 fof(f7013,plain,(
% 1.94/0.64 $false|spl0_38),
% 1.94/0.64 inference(trivial_equality_resolution,[status(esa)],[f7012])).
% 1.94/0.64 fof(f7014,plain,(
% 1.94/0.64 spl0_38),
% 1.94/0.64 inference(contradiction_clause,[status(thm)],[f7013])).
% 1.94/0.64 fof(f7015,plain,(
% 1.94/0.64 ![X0]: (~multiply(X0,identity)=sk_c9|~inverse(X0)=sk_c10|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_16)),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f3167,f209])).
% 1.94/0.64 fof(f7016,plain,(
% 1.94/0.64 ![X0]: (~X0=sk_c9|~inverse(X0)=sk_c10|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_16)),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f261,f7015])).
% 1.94/0.64 fof(f7017,plain,(
% 1.94/0.64 ![X0]: (~X0=identity|~inverse(X0)=sk_c10|~spl0_4|~spl0_3|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_16)),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f6909,f7016])).
% 1.94/0.64 fof(f7018,plain,(
% 1.94/0.64 ![X0]: (~X0=identity|~inverse(X0)=identity|~spl0_4|~spl0_3|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_16)),
% 1.94/0.64 inference(forward_demodulation,[status(thm)],[f3167,f7017])).
% 1.94/0.64 fof(f7019,plain,(
% 1.94/0.64 ~inverse(identity)=identity|~spl0_4|~spl0_3|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_16),
% 1.94/0.64 inference(destructive_equality_resolution,[status(esa)],[f7018])).
% 1.94/0.64 fof(f7020,plain,(
% 1.94/0.64 $false|~spl0_4|~spl0_3|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_16),
% 1.94/0.64 inference(forward_subsumption_resolution,[status(thm)],[f7019,f242])).
% 1.94/0.64 fof(f7021,plain,(
% 1.94/0.64 ~spl0_4|~spl0_3|~spl0_2|~spl0_6|~spl0_5|~spl0_1|~spl0_16),
% 1.94/0.64 inference(contradiction_clause,[status(thm)],[f7020])).
% 1.94/0.64 fof(f7022,plain,(
% 1.94/0.64 $false),
% 1.94/0.64 inference(sat_refutation,[status(thm)],[f116,f120,f124,f128,f132,f136,f156,f157,f158,f159,f160,f161,f169,f170,f171,f172,f173,f174,f182,f183,f184,f185,f186,f187,f195,f196,f197,f198,f199,f200,f214,f953,f987,f998,f1008,f1898,f1938,f2735,f2745,f3228,f3232,f3848,f6911,f7008,f7014,f7021])).
% 1.94/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 1.94/0.66 % Elapsed time: 0.289627 seconds
% 1.94/0.66 % CPU time: 2.125669 seconds
% 1.94/0.66 % Total memory used: 95.515 MB
% 1.94/0.66 % Net memory used: 94.067 MB
%------------------------------------------------------------------------------