%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP330-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:27 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP330-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:11:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.48 % Refutation found
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.48 fof(f1,axiom,(
% 0.14/0.48 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f2,axiom,(
% 0.14/0.48 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f3,axiom,(
% 0.14/0.48 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f4,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c10,sk_c11) = sk_c9| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f5,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c10,sk_c11) = sk_c9| inverse(sk_c3) = sk_c11 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f6,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c10,sk_c11) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f7,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c10,sk_c11) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f8,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c10,sk_c11) = sk_c9| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f9,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c10,sk_c11) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f14,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f15,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c1,sk_c10) = sk_c11| inverse(sk_c3) = sk_c11 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f16,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f17,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c1,sk_c10) = sk_c11| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f18,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c1,sk_c10) = sk_c11| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f19,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c1,sk_c10) = sk_c11| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f24,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c1) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f25,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c1) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f26,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c1) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f27,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c1) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f28,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c1) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f29,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c1) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f34,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f35,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c3) = sk_c11 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f36,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f37,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f38,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c2,sk_c9) = sk_c10| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f39,negated_conjecture,(
% 0.14/0.48 ( multiply(sk_c2,sk_c9) = sk_c10| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f44,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c2) = sk_c9| multiply(sk_c3,sk_c11) = sk_c10 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f45,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c2) = sk_c9| inverse(sk_c3) = sk_c11 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f46,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c2) = sk_c9| multiply(sk_c4,sk_c10) = sk_c9 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f47,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c2) = sk_c9| inverse(sk_c4) = sk_c10 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f48,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c2) = sk_c9| multiply(sk_c5,sk_c8) = sk_c11 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f49,negated_conjecture,(
% 0.14/0.48 ( inverse(sk_c2) = sk_c9| inverse(sk_c5) = sk_c8 ) ),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f54,negated_conjecture,(
% 0.14/0.48 (![X3,X4,X1,X2,X5,X6,X7,X8]: (( multiply(sk_c10,sk_c11) != sk_c9| multiply(X3,sk_c10) != sk_c11| inverse(X3) != sk_c10| multiply(X4,sk_c9) != sk_c10| inverse(X4) != sk_c9| 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 ) ))),
% 0.14/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.48 fof(f55,plain,(
% 0.14/0.48 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.48 fof(f56,plain,(
% 0.14/0.48 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.48 fof(f57,plain,(
% 0.14/0.48 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.48 fof(f58,plain,(
% 0.14/0.48 multiply(sk_c10,sk_c11)=sk_c9|multiply(sk_c3,sk_c11)=sk_c10),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.48 fof(f59,plain,(
% 0.14/0.48 multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c3)=sk_c11),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.48 fof(f60,plain,(
% 0.14/0.48 multiply(sk_c10,sk_c11)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.48 fof(f61,plain,(
% 0.14/0.48 multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.48 fof(f62,plain,(
% 0.14/0.48 multiply(sk_c10,sk_c11)=sk_c9|multiply(sk_c5,sk_c8)=sk_c11),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.48 fof(f63,plain,(
% 0.14/0.48 multiply(sk_c10,sk_c11)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.48 fof(f68,plain,(
% 0.14/0.48 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c3,sk_c11)=sk_c10),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f14])).
% 0.14/0.48 fof(f69,plain,(
% 0.14/0.48 multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c3)=sk_c11),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.48 fof(f70,plain,(
% 0.14/0.48 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.48 fof(f71,plain,(
% 0.14/0.48 multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c4)=sk_c10),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.48 fof(f72,plain,(
% 0.14/0.48 multiply(sk_c1,sk_c10)=sk_c11|multiply(sk_c5,sk_c8)=sk_c11),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.48 fof(f73,plain,(
% 0.14/0.48 multiply(sk_c1,sk_c10)=sk_c11|inverse(sk_c5)=sk_c8),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f19])).
% 0.14/0.48 fof(f78,plain,(
% 0.14/0.48 inverse(sk_c1)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/0.48 fof(f79,plain,(
% 0.14/0.48 inverse(sk_c1)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f25])).
% 0.14/0.48 fof(f80,plain,(
% 0.14/0.48 inverse(sk_c1)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f26])).
% 0.14/0.48 fof(f81,plain,(
% 0.14/0.48 inverse(sk_c1)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f27])).
% 0.14/0.48 fof(f82,plain,(
% 0.14/0.48 inverse(sk_c1)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f28])).
% 0.14/0.48 fof(f83,plain,(
% 0.14/0.48 inverse(sk_c1)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.48 fof(f88,plain,(
% 0.14/0.48 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c3,sk_c11)=sk_c10),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f34])).
% 0.14/0.48 fof(f89,plain,(
% 0.14/0.48 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c3)=sk_c11),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f35])).
% 0.14/0.48 fof(f90,plain,(
% 0.14/0.48 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f36])).
% 0.14/0.48 fof(f91,plain,(
% 0.14/0.48 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c4)=sk_c10),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f37])).
% 0.14/0.48 fof(f92,plain,(
% 0.14/0.48 multiply(sk_c2,sk_c9)=sk_c10|multiply(sk_c5,sk_c8)=sk_c11),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.48 fof(f93,plain,(
% 0.14/0.48 multiply(sk_c2,sk_c9)=sk_c10|inverse(sk_c5)=sk_c8),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f39])).
% 0.14/0.48 fof(f98,plain,(
% 0.14/0.48 inverse(sk_c2)=sk_c9|multiply(sk_c3,sk_c11)=sk_c10),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f44])).
% 0.14/0.48 fof(f99,plain,(
% 0.14/0.48 inverse(sk_c2)=sk_c9|inverse(sk_c3)=sk_c11),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f45])).
% 0.14/0.48 fof(f100,plain,(
% 0.14/0.48 inverse(sk_c2)=sk_c9|multiply(sk_c4,sk_c10)=sk_c9),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f46])).
% 0.14/0.48 fof(f101,plain,(
% 0.14/0.48 inverse(sk_c2)=sk_c9|inverse(sk_c4)=sk_c10),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.48 fof(f102,plain,(
% 0.14/0.48 inverse(sk_c2)=sk_c9|multiply(sk_c5,sk_c8)=sk_c11),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f48])).
% 0.14/0.48 fof(f103,plain,(
% 0.14/0.48 inverse(sk_c2)=sk_c9|inverse(sk_c5)=sk_c8),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/0.48 fof(f108,plain,(
% 0.14/0.48 ![X6,X7,X8]: (((((![X5]: (((![X2]: (((![X1]: (((![X4]: (((![X3]: ((~multiply(sk_c10,sk_c11)=sk_c9|~multiply(X3,sk_c10)=sk_c11)|~inverse(X3)=sk_c10))|~multiply(X4,sk_c9)=sk_c10)|~inverse(X4)=sk_c9))|~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)),
% 0.14/0.48 inference(miniscoping,[status(thm)],[f54])).
% 0.14/0.48 fof(f109,plain,(
% 0.14/0.48 ![X0,X1,X2,X3,X4,X5,X6,X7]: (~multiply(sk_c10,sk_c11)=sk_c9|~multiply(X0,sk_c10)=sk_c11|~inverse(X0)=sk_c10|~multiply(X1,sk_c9)=sk_c10|~inverse(X1)=sk_c9|~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)),
% 0.14/0.48 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.48 fof(f110,definition,(
% 0.14/0.48 sQ0_spl <=> (multiply(sk_c10,sk_c11)=sk_c9)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f111,plain,(
% 0.14/0.48 multiply(sk_c10,sk_c11)=sk_c9|~sQ0_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f110])).
% 0.14/0.48 fof(f112,plain,(
% 0.14/0.48 ~multiply(sk_c10,sk_c11)=sk_c9|sQ0_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f110])).
% 0.14/0.48 fof(f113,definition,(
% 0.14/0.48 sQ1_spl <=> (multiply(sk_c3,sk_c11)=sk_c10)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f114,plain,(
% 0.14/0.48 multiply(sk_c3,sk_c11)=sk_c10|~sQ1_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f113])).
% 0.14/0.48 fof(f116,plain,(
% 0.14/0.48 sQ0_spl|sQ1_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f58,f110,f113])).
% 0.14/0.48 fof(f117,definition,(
% 0.14/0.48 sQ2_spl <=> (inverse(sk_c3)=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f118,plain,(
% 0.14/0.48 inverse(sk_c3)=sk_c11|~sQ2_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f117])).
% 0.14/0.48 fof(f120,plain,(
% 0.14/0.48 sQ0_spl|sQ2_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f59,f110,f117])).
% 0.14/0.48 fof(f121,definition,(
% 0.14/0.48 sQ3_spl <=> (multiply(sk_c4,sk_c10)=sk_c9)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f122,plain,(
% 0.14/0.48 multiply(sk_c4,sk_c10)=sk_c9|~sQ3_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f121])).
% 0.14/0.48 fof(f124,plain,(
% 0.14/0.48 sQ0_spl|sQ3_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f60,f110,f121])).
% 0.14/0.48 fof(f125,definition,(
% 0.14/0.48 sQ4_spl <=> (inverse(sk_c4)=sk_c10)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f126,plain,(
% 0.14/0.48 inverse(sk_c4)=sk_c10|~sQ4_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f125])).
% 0.14/0.48 fof(f128,plain,(
% 0.14/0.48 sQ0_spl|sQ4_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f61,f110,f125])).
% 0.14/0.48 fof(f129,definition,(
% 0.14/0.48 sQ5_spl <=> (multiply(sk_c5,sk_c8)=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f130,plain,(
% 0.14/0.48 multiply(sk_c5,sk_c8)=sk_c11|~sQ5_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f129])).
% 0.14/0.48 fof(f132,plain,(
% 0.14/0.48 sQ0_spl|sQ5_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f62,f110,f129])).
% 0.14/0.48 fof(f133,definition,(
% 0.14/0.48 sQ6_spl <=> (inverse(sk_c5)=sk_c8)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f134,plain,(
% 0.14/0.48 inverse(sk_c5)=sk_c8|~sQ6_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f133])).
% 0.14/0.48 fof(f136,plain,(
% 0.14/0.48 sQ0_spl|sQ6_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f63,f110,f133])).
% 0.14/0.48 fof(f153,definition,(
% 0.14/0.48 sQ11_spl <=> (multiply(sk_c1,sk_c10)=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f154,plain,(
% 0.14/0.48 multiply(sk_c1,sk_c10)=sk_c11|~sQ11_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f153])).
% 0.14/0.48 fof(f156,plain,(
% 0.14/0.48 sQ11_spl|sQ1_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f68,f153,f113])).
% 0.14/0.48 fof(f157,plain,(
% 0.14/0.48 sQ11_spl|sQ2_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f69,f153,f117])).
% 0.14/0.48 fof(f158,plain,(
% 0.14/0.48 sQ11_spl|sQ3_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f70,f153,f121])).
% 0.14/0.48 fof(f159,plain,(
% 0.14/0.48 sQ11_spl|sQ4_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f71,f153,f125])).
% 0.14/0.48 fof(f160,plain,(
% 0.14/0.48 sQ11_spl|sQ5_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f72,f153,f129])).
% 0.14/0.48 fof(f161,plain,(
% 0.14/0.48 sQ11_spl|sQ6_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f73,f153,f133])).
% 0.14/0.48 fof(f166,definition,(
% 0.14/0.48 sQ12_spl <=> (inverse(sk_c1)=sk_c10)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f167,plain,(
% 0.14/0.48 inverse(sk_c1)=sk_c10|~sQ12_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f166])).
% 0.14/0.48 fof(f169,plain,(
% 0.14/0.48 sQ12_spl|sQ1_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f78,f166,f113])).
% 0.14/0.48 fof(f170,plain,(
% 0.14/0.48 sQ12_spl|sQ2_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f79,f166,f117])).
% 0.14/0.48 fof(f171,plain,(
% 0.14/0.48 sQ12_spl|sQ3_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f80,f166,f121])).
% 0.14/0.48 fof(f172,plain,(
% 0.14/0.48 sQ12_spl|sQ4_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f81,f166,f125])).
% 0.14/0.48 fof(f173,plain,(
% 0.14/0.48 sQ12_spl|sQ5_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f82,f166,f129])).
% 0.14/0.48 fof(f174,plain,(
% 0.14/0.48 sQ12_spl|sQ6_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f83,f166,f133])).
% 0.14/0.48 fof(f179,definition,(
% 0.14/0.48 sQ13_spl <=> (multiply(sk_c2,sk_c9)=sk_c10)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f180,plain,(
% 0.14/0.48 multiply(sk_c2,sk_c9)=sk_c10|~sQ13_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f179])).
% 0.14/0.48 fof(f182,plain,(
% 0.14/0.48 sQ13_spl|sQ1_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f88,f179,f113])).
% 0.14/0.48 fof(f183,plain,(
% 0.14/0.48 sQ13_spl|sQ2_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f89,f179,f117])).
% 0.14/0.48 fof(f184,plain,(
% 0.14/0.48 sQ13_spl|sQ3_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f90,f179,f121])).
% 0.14/0.48 fof(f185,plain,(
% 0.14/0.48 sQ13_spl|sQ4_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f91,f179,f125])).
% 0.14/0.48 fof(f186,plain,(
% 0.14/0.48 sQ13_spl|sQ5_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f92,f179,f129])).
% 0.14/0.48 fof(f187,plain,(
% 0.14/0.48 sQ13_spl|sQ6_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f93,f179,f133])).
% 0.14/0.48 fof(f192,definition,(
% 0.14/0.48 sQ14_spl <=> (inverse(sk_c2)=sk_c9)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f193,plain,(
% 0.14/0.48 inverse(sk_c2)=sk_c9|~sQ14_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f192])).
% 0.14/0.48 fof(f195,plain,(
% 0.14/0.48 sQ14_spl|sQ1_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f98,f192,f113])).
% 0.14/0.48 fof(f196,plain,(
% 0.14/0.48 sQ14_spl|sQ2_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f99,f192,f117])).
% 0.14/0.48 fof(f197,plain,(
% 0.14/0.48 sQ14_spl|sQ3_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f100,f192,f121])).
% 0.14/0.48 fof(f198,plain,(
% 0.14/0.48 sQ14_spl|sQ4_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f101,f192,f125])).
% 0.14/0.48 fof(f199,plain,(
% 0.14/0.48 sQ14_spl|sQ5_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f102,f192,f129])).
% 0.14/0.48 fof(f200,plain,(
% 0.14/0.48 sQ14_spl|sQ6_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f103,f192,f133])).
% 0.14/0.48 fof(f205,definition,(
% 0.14/0.48 ![X0]: (sQ15_spl <=> (~multiply(X0,sk_c10)=sk_c11|~inverse(X0)=sk_c10))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f206,plain,(
% 0.14/0.48 ![X0]: (~multiply(X0,sk_c10)=sk_c11|~inverse(X0)=sk_c10|~sQ15_spl)),
% 0.14/0.48 inference(component_clause,[status(thm)],[f205])).
% 0.14/0.48 fof(f208,definition,(
% 0.14/0.48 ![X1]: (sQ16_spl <=> (~multiply(X1,sk_c9)=sk_c10|~inverse(X1)=sk_c9))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f209,plain,(
% 0.14/0.48 ![X0]: (~multiply(X0,sk_c9)=sk_c10|~inverse(X0)=sk_c9|~sQ16_spl)),
% 0.14/0.48 inference(component_clause,[status(thm)],[f208])).
% 0.14/0.48 fof(f211,definition,(
% 0.14/0.48 ![X2]: (sQ17_spl <=> (~multiply(X2,sk_c11)=sk_c10|~inverse(X2)=sk_c11))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f212,plain,(
% 0.14/0.48 ![X0]: (~multiply(X0,sk_c11)=sk_c10|~inverse(X0)=sk_c11|~sQ17_spl)),
% 0.14/0.48 inference(component_clause,[status(thm)],[f211])).
% 0.14/0.48 fof(f214,definition,(
% 0.14/0.48 ![X3]: (sQ18_spl <=> (~multiply(X3,sk_c10)=sk_c9|~inverse(X3)=sk_c10))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f215,plain,(
% 0.14/0.48 ![X0]: (~multiply(X0,sk_c10)=sk_c9|~inverse(X0)=sk_c10|~sQ18_spl)),
% 0.14/0.48 inference(component_clause,[status(thm)],[f214])).
% 0.14/0.48 fof(f217,definition,(
% 0.14/0.48 ![X4,X5,X6,X7]: (sQ19_spl <=> (~multiply(X4,X5)=sk_c11|~inverse(X4)=X5|~multiply(X5,sk_c10)=sk_c11|~inverse(X6)=X7|~inverse(X7)=X5|~multiply(X6,X5)=X7))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f218,plain,(
% 0.14/0.48 ![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|~sQ19_spl)),
% 0.14/0.48 inference(component_clause,[status(thm)],[f217])).
% 0.14/0.48 fof(f220,plain,(
% 0.14/0.48 ~sQ0_spl|sQ15_spl|sQ16_spl|sQ17_spl|sQ18_spl|sQ19_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f109,f110,f205,f208,f211,f214,f217])).
% 0.14/0.48 fof(f221,plain,(
% 0.14/0.48 ![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)|~sQ19_spl)),
% 0.14/0.48 inference(destructive_equality_resolution,[status(thm)],[f218])).
% 0.14/0.48 fof(f234,plain,(
% 0.14/0.48 multiply(sk_c10,sk_c1)=identity|~sQ12_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f167,f56])).
% 0.14/0.48 fof(f236,plain,(
% 0.14/0.48 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f56,f57])).
% 0.14/0.48 fof(f237,plain,(
% 0.14/0.48 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f236])).
% 0.14/0.48 fof(f242,plain,(
% 0.14/0.48 ~multiply(identity,inverse(identity))=sk_c11|~multiply(inverse(identity),sk_c10)=sk_c11|~inverse(inverse(identity))=inverse(identity)|~sQ19_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f221,f55])).
% 0.14/0.48 fof(f243,plain,(
% 0.14/0.48 ![X0]: (~inverse(identity)=sk_c11|~multiply(inverse(identity),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ19_spl)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f55,f221])).
% 0.14/0.48 fof(f244,plain,(
% 0.14/0.48 ![X0,X1,X2]: (~multiply(X0,multiply(X1,inverse(multiply(X0,X1))))=sk_c11|~multiply(inverse(multiply(X0,X1)),sk_c10)=sk_c11|~inverse(inverse(X2))=inverse(multiply(X0,X1))|~multiply(X2,inverse(multiply(X0,X1)))=inverse(X2)|~sQ19_spl)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f57,f221])).
% 0.14/0.48 fof(f252,definition,(
% 0.14/0.48 sQ20_spl <=> (multiply(identity,inverse(identity))=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f254,plain,(
% 0.14/0.48 ~multiply(identity,inverse(identity))=sk_c11|sQ20_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f252])).
% 0.14/0.48 fof(f255,definition,(
% 0.14/0.48 sQ21_spl <=> (multiply(inverse(identity),sk_c10)=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f257,plain,(
% 0.14/0.48 ~multiply(inverse(identity),sk_c10)=sk_c11|sQ21_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f255])).
% 0.14/0.48 fof(f258,definition,(
% 0.14/0.48 sQ22_spl <=> (inverse(inverse(identity))=inverse(identity))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f260,plain,(
% 0.14/0.48 ~inverse(inverse(identity))=inverse(identity)|sQ22_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f258])).
% 0.14/0.48 fof(f261,plain,(
% 0.14/0.48 ~sQ20_spl|~sQ21_spl|~sQ22_spl|~sQ19_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f242,f252,f255,f258,f217])).
% 0.14/0.48 fof(f262,definition,(
% 0.14/0.48 sQ23_spl <=> (inverse(identity)=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f264,plain,(
% 0.14/0.48 ~inverse(identity)=sk_c11|sQ23_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f262])).
% 0.14/0.48 fof(f265,definition,(
% 0.14/0.48 ![X0]: (sQ24_spl <=> (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f266,plain,(
% 0.14/0.48 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ24_spl)),
% 0.14/0.48 inference(component_clause,[status(thm)],[f265])).
% 0.14/0.48 fof(f268,plain,(
% 0.14/0.48 ~sQ23_spl|~sQ21_spl|sQ24_spl|~sQ19_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f243,f262,f255,f265,f217])).
% 0.14/0.48 fof(f342,plain,(
% 0.14/0.48 ~inverse(identity)=sk_c11|sQ20_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f254])).
% 0.14/0.48 fof(f345,plain,(
% 0.14/0.48 ~sk_c9=sk_c9|~inverse(sk_c4)=sk_c10|~sQ18_spl|~sQ3_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f122,f215])).
% 0.14/0.48 fof(f349,plain,(
% 0.14/0.48 ~sk_c11=sk_c9|~inverse(sk_c1)=sk_c10|~sQ18_spl|~sQ11_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f154,f215])).
% 0.14/0.48 fof(f351,definition,(
% 0.14/0.48 sQ44_spl <=> (sk_c9=sk_c9)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f353,plain,(
% 0.14/0.48 ~sk_c9=sk_c9|sQ44_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f351])).
% 0.14/0.48 fof(f354,plain,(
% 0.14/0.48 ~sQ44_spl|~sQ4_spl|~sQ18_spl|~sQ3_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f345,f351,f125,f214,f121])).
% 0.14/0.48 fof(f358,definition,(
% 0.14/0.48 sQ46_spl <=> (inverse(inverse(sk_c10))=sk_c10)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f360,plain,(
% 0.14/0.48 ~inverse(inverse(sk_c10))=sk_c10|sQ46_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f358])).
% 0.14/0.48 fof(f365,definition,(
% 0.14/0.48 sQ48_spl <=> (inverse(identity)=sk_c10)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f367,plain,(
% 0.14/0.48 ~inverse(identity)=sk_c10|sQ48_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f365])).
% 0.14/0.48 fof(f369,definition,(
% 0.14/0.48 sQ49_spl <=> (sk_c11=sk_c9)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f371,plain,(
% 0.14/0.48 ~sk_c11=sk_c9|sQ49_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f369])).
% 0.14/0.48 fof(f376,plain,(
% 0.14/0.48 ~sQ49_spl|~sQ12_spl|~sQ18_spl|~sQ11_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f349,f369,f166,f214,f153])).
% 0.14/0.48 fof(f377,plain,(
% 0.14/0.48 $false|sQ44_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f353])).
% 0.14/0.48 fof(f378,plain,(
% 0.14/0.48 sQ44_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f377])).
% 0.14/0.48 fof(f381,plain,(
% 0.14/0.48 ~sk_c10=sk_c10|~inverse(sk_c3)=sk_c11|~sQ17_spl|~sQ1_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f114,f212])).
% 0.14/0.48 fof(f389,definition,(
% 0.14/0.48 sQ52_spl <=> (sk_c10=sk_c10)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f391,plain,(
% 0.14/0.48 ~sk_c10=sk_c10|sQ52_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f389])).
% 0.14/0.48 fof(f392,plain,(
% 0.14/0.48 ~sQ52_spl|~sQ2_spl|~sQ17_spl|~sQ1_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f381,f389,f117,f211,f113])).
% 0.14/0.48 fof(f393,definition,(
% 0.14/0.48 sQ53_spl <=> (identity=sk_c10)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f394,plain,(
% 0.14/0.48 identity=sk_c10|~sQ53_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f393])).
% 0.14/0.48 fof(f395,plain,(
% 0.14/0.48 ~identity=sk_c10|sQ53_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f393])).
% 0.14/0.48 fof(f400,definition,(
% 0.14/0.48 sQ55_spl <=> (sk_c11=sk_c10)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f402,plain,(
% 0.14/0.48 ~sk_c11=sk_c10|sQ55_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f400])).
% 0.14/0.48 fof(f404,plain,(
% 0.14/0.48 $false|sQ52_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f391])).
% 0.14/0.48 fof(f405,plain,(
% 0.14/0.48 sQ52_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f404])).
% 0.14/0.48 fof(f406,plain,(
% 0.14/0.48 ~inverse(sk_c2)=sk_c9|~sQ16_spl|~sQ13_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f209,f180])).
% 0.14/0.48 fof(f407,plain,(
% 0.14/0.48 ~identity=sk_c10|~inverse(inverse(sk_c9))=sk_c9|~sQ16_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f56,f209])).
% 0.14/0.48 fof(f409,plain,(
% 0.14/0.48 ![X0,X1]: (~multiply(X0,multiply(X1,sk_c9))=sk_c10|~inverse(multiply(X0,X1))=sk_c9|~sQ16_spl)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f57,f209])).
% 0.14/0.48 fof(f411,plain,(
% 0.14/0.48 ~sk_c9=sk_c9|~sQ14_spl|~sQ16_spl|~sQ13_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f193,f406])).
% 0.14/0.48 fof(f412,plain,(
% 0.14/0.48 $false|~sQ14_spl|~sQ16_spl|~sQ13_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f411])).
% 0.14/0.48 fof(f413,plain,(
% 0.14/0.48 ~sQ14_spl|~sQ16_spl|~sQ13_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f412])).
% 0.14/0.48 fof(f414,plain,(
% 0.14/0.48 ~identity=sk_c11|~inverse(inverse(sk_c10))=sk_c10|~sQ15_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f56,f206])).
% 0.14/0.48 fof(f415,plain,(
% 0.14/0.48 ~sk_c10=sk_c11|~inverse(identity)=sk_c10|~sQ15_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f55,f206])).
% 0.14/0.48 fof(f417,definition,(
% 0.14/0.48 sQ56_spl <=> (identity=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f419,plain,(
% 0.14/0.48 ~identity=sk_c11|sQ56_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f417])).
% 0.14/0.48 fof(f420,plain,(
% 0.14/0.48 ~sQ56_spl|~sQ46_spl|~sQ15_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f414,f417,f358,f205])).
% 0.14/0.48 fof(f421,plain,(
% 0.14/0.48 ~sQ55_spl|~sQ48_spl|~sQ15_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f415,f400,f365,f205])).
% 0.14/0.48 fof(f431,definition,(
% 0.14/0.48 sQ57_spl <=> (sk_c11=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f433,plain,(
% 0.14/0.48 ~sk_c11=sk_c11|sQ57_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f431])).
% 0.14/0.48 fof(f435,plain,(
% 0.14/0.48 $false|sQ57_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f433])).
% 0.14/0.48 fof(f436,plain,(
% 0.14/0.48 sQ57_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f435])).
% 0.14/0.48 fof(f589,plain,(
% 0.14/0.48 ~inverse(sk_c1)=sk_c10|~sQ15_spl|~sQ11_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f206,f154])).
% 0.14/0.48 fof(f597,plain,(
% 0.14/0.48 ~sk_c10=sk_c10|~sQ12_spl|~sQ15_spl|~sQ11_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f167,f589])).
% 0.14/0.48 fof(f598,plain,(
% 0.14/0.48 $false|~sQ12_spl|~sQ15_spl|~sQ11_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f597])).
% 0.14/0.48 fof(f599,plain,(
% 0.14/0.48 ~sQ12_spl|~sQ15_spl|~sQ11_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f598])).
% 0.14/0.48 fof(f678,plain,(
% 0.14/0.48 sk_c9=multiply(inverse(sk_c2),sk_c10)|~sQ13_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f180,f237])).
% 0.14/0.48 fof(f689,plain,(
% 0.14/0.48 sk_c8=multiply(inverse(sk_c5),sk_c11)|~sQ5_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f130,f237])).
% 0.14/0.48 fof(f703,plain,(
% 0.14/0.48 sk_c8=multiply(sk_c8,sk_c11)|~sQ6_spl|~sQ5_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f134,f689])).
% 0.14/0.48 fof(f787,definition,(
% 0.14/0.48 sQ94_spl <=> (inverse(inverse(sk_c9))=sk_c9)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f789,plain,(
% 0.14/0.48 ~inverse(inverse(sk_c9))=sk_c9|sQ94_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f787])).
% 0.14/0.48 fof(f790,plain,(
% 0.14/0.48 ~sQ53_spl|~sQ94_spl|~sQ16_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f407,f393,f787,f208])).
% 0.14/0.48 fof(f824,plain,(
% 0.14/0.48 sk_c1=multiply(inverse(sk_c10),identity)|~sQ12_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f234,f237])).
% 0.14/0.48 fof(f920,plain,(
% 0.14/0.48 ![X0]: (~multiply(sk_c10,multiply(sk_c1,inverse(identity)))=sk_c11|~multiply(inverse(multiply(sk_c10,sk_c1)),sk_c10)=sk_c11|~inverse(inverse(X0))=inverse(multiply(sk_c10,sk_c1))|~multiply(X0,inverse(multiply(sk_c10,sk_c1)))=inverse(X0)|~sQ19_spl|~sQ12_spl)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f234,f244])).
% 0.14/0.48 fof(f1016,definition,(
% 0.14/0.48 sQ126_spl <=> (multiply(sk_c10,multiply(sk_c1,inverse(identity)))=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f1019,definition,(
% 0.14/0.48 sQ127_spl <=> (multiply(inverse(multiply(sk_c10,sk_c1)),sk_c10)=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f1021,plain,(
% 0.14/0.48 ~multiply(inverse(multiply(sk_c10,sk_c1)),sk_c10)=sk_c11|sQ127_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f1019])).
% 0.14/0.48 fof(f1022,definition,(
% 0.14/0.48 ![X0]: (sQ128_spl <=> (~inverse(inverse(X0))=inverse(multiply(sk_c10,sk_c1))|~multiply(X0,inverse(multiply(sk_c10,sk_c1)))=inverse(X0)))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ128_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f1023,plain,(
% 0.14/0.48 ![X0]: (~inverse(inverse(X0))=inverse(multiply(sk_c10,sk_c1))|~multiply(X0,inverse(multiply(sk_c10,sk_c1)))=inverse(X0)|~sQ128_spl)),
% 0.14/0.48 inference(component_clause,[status(thm)],[f1022])).
% 0.14/0.48 fof(f1025,plain,(
% 0.14/0.48 ~sQ126_spl|~sQ127_spl|sQ128_spl|~sQ19_spl|~sQ12_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f920,f1016,f1019,f1022,f217,f166])).
% 0.14/0.48 fof(f1113,plain,(
% 0.14/0.48 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(multiply(sk_c10,sk_c1)))=inverse(X0)|~sQ12_spl|~sQ128_spl)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f234,f1023])).
% 0.14/0.48 fof(f1114,plain,(
% 0.14/0.48 ![X0]: (~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ12_spl|~sQ128_spl)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f234,f1113])).
% 0.14/0.48 fof(f1115,plain,(
% 0.14/0.48 ~multiply(inverse(identity),sk_c10)=sk_c11|~sQ12_spl|sQ127_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f234,f1021])).
% 0.14/0.48 fof(f1163,plain,(
% 0.14/0.48 ![X0]: (~identity=sk_c10|~inverse(multiply(inverse(multiply(X0,sk_c9)),X0))=sk_c9|~sQ16_spl)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f56,f409])).
% 0.14/0.48 fof(f1204,definition,(
% 0.14/0.48 ![X0]: (sQ143_spl <=> (~inverse(multiply(inverse(multiply(X0,sk_c9)),X0))=sk_c9))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ143_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f1207,plain,(
% 0.14/0.48 ~sQ53_spl|sQ143_spl|~sQ16_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f1163,f393,f1204,f208])).
% 0.14/0.48 fof(f1297,plain,(
% 0.14/0.48 ~inverse(inverse(identity))=inverse(identity)|~inverse(identity)=inverse(identity)|~sQ24_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f55,f266])).
% 0.14/0.48 fof(f1306,definition,(
% 0.14/0.48 sQ160_spl <=> (inverse(identity)=inverse(identity))),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f1308,plain,(
% 0.14/0.48 ~inverse(identity)=inverse(identity)|sQ160_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f1306])).
% 0.14/0.48 fof(f1309,plain,(
% 0.14/0.48 ~sQ22_spl|~sQ160_spl|~sQ24_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f1297,f258,f1306,f265])).
% 0.14/0.48 fof(f1310,plain,(
% 0.14/0.48 $false|sQ160_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f1308])).
% 0.14/0.48 fof(f1311,plain,(
% 0.14/0.48 sQ160_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f1310])).
% 0.14/0.48 fof(f1466,plain,(
% 0.14/0.48 sk_c9=multiply(sk_c9,sk_c10)|~sQ14_spl|~sQ13_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f193,f678])).
% 0.14/0.48 fof(f1470,plain,(
% 0.14/0.48 sk_c10=multiply(inverse(sk_c9),sk_c9)|~sQ14_spl|~sQ13_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f1466,f237])).
% 0.14/0.48 fof(f1484,plain,(
% 0.14/0.48 sk_c10=identity|~sQ14_spl|~sQ13_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f56,f1470])).
% 0.14/0.48 fof(f1485,plain,(
% 0.14/0.48 $false|sQ53_spl|~sQ14_spl|~sQ13_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1484,f395])).
% 0.14/0.48 fof(f1486,plain,(
% 0.14/0.48 sQ53_spl|~sQ14_spl|~sQ13_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f1485])).
% 0.14/0.48 fof(f1511,plain,(
% 0.14/0.48 ![X0,X1]: (~multiply(X0,inverse(X0))=sk_c11|~multiply(inverse(X0),identity)=sk_c11|~inverse(inverse(X1))=inverse(X0)|~multiply(X1,inverse(X0))=inverse(X1)|~sQ53_spl|~sQ19_spl)),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f394,f221])).
% 0.14/0.48 fof(f1513,plain,(
% 0.14/0.48 ~multiply(inverse(identity),identity)=sk_c11|~sQ53_spl|sQ21_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f394,f257])).
% 0.14/0.48 fof(f1514,plain,(
% 0.14/0.48 ~inverse(identity)=identity|~sQ53_spl|sQ48_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f394,f367])).
% 0.14/0.48 fof(f1515,plain,(
% 0.14/0.48 ~inverse(inverse(sk_c10))=identity|~sQ53_spl|sQ46_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f394,f360])).
% 0.14/0.48 fof(f1517,plain,(
% 0.14/0.48 multiply(identity,sk_c1)=identity|~sQ53_spl|~sQ12_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f394,f234])).
% 0.14/0.48 fof(f1520,plain,(
% 0.14/0.48 inverse(sk_c1)=identity|~sQ53_spl|~sQ12_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f394,f167])).
% 0.14/0.48 fof(f1525,plain,(
% 0.14/0.48 multiply(identity,sk_c11)=sk_c9|~sQ53_spl|~sQ0_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f394,f111])).
% 0.14/0.48 fof(f1526,plain,(
% 0.14/0.48 multiply(sk_c1,identity)=sk_c11|~sQ53_spl|~sQ11_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f394,f154])).
% 0.14/0.48 fof(f1533,plain,(
% 0.14/0.48 ~identity=sk_c11|~sQ53_spl|sQ21_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f56,f1513])).
% 0.14/0.48 fof(f1534,plain,(
% 0.14/0.48 ~inverse(inverse(identity))=identity|~sQ53_spl|sQ46_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f394,f1515])).
% 0.14/0.48 fof(f1535,plain,(
% 0.14/0.48 sk_c1=identity|~sQ53_spl|~sQ12_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f1517])).
% 0.14/0.48 fof(f1539,plain,(
% 0.14/0.48 sk_c11=sk_c9|~sQ53_spl|~sQ0_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f1525])).
% 0.14/0.48 fof(f1540,plain,(
% 0.14/0.48 $false|sQ49_spl|~sQ53_spl|~sQ0_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1539,f371])).
% 0.14/0.48 fof(f1541,plain,(
% 0.14/0.48 sQ49_spl|~sQ53_spl|~sQ0_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f1540])).
% 0.14/0.48 fof(f1685,plain,(
% 0.14/0.48 sk_c11=multiply(inverse(sk_c8),sk_c8)|~sQ6_spl|~sQ5_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f703,f237])).
% 0.14/0.48 fof(f1689,plain,(
% 0.14/0.48 sk_c11=identity|~sQ6_spl|~sQ5_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f56,f1685])).
% 0.14/0.48 fof(f1690,plain,(
% 0.14/0.48 $false|sQ56_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1689,f419])).
% 0.14/0.48 fof(f1691,plain,(
% 0.14/0.48 sQ56_spl|~sQ6_spl|~sQ5_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f1690])).
% 0.14/0.48 fof(f1726,definition,(
% 0.14/0.48 sQ176_spl <=> (multiply(inverse(identity),identity)=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ176_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f1728,plain,(
% 0.14/0.48 ~multiply(inverse(identity),identity)=sk_c11|sQ176_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f1726])).
% 0.14/0.48 fof(f1731,plain,(
% 0.14/0.48 ~identity=sk_c11|sQ176_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f56,f1728])).
% 0.14/0.48 fof(f1742,plain,(
% 0.14/0.48 ~inverse(inverse(identity))=identity|~sQ53_spl|~sQ12_spl|sQ22_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f1744,f260])).
% 0.14/0.48 fof(f1744,plain,(
% 0.14/0.48 inverse(identity)=identity|~sQ53_spl|~sQ12_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1535,f1520])).
% 0.14/0.48 fof(f1745,plain,(
% 0.14/0.48 ![X0]: (~multiply(identity,identity)=sk_c11|~multiply(inverse(identity),identity)=sk_c11|~inverse(inverse(X0))=inverse(identity)|~multiply(X0,inverse(identity))=inverse(X0)|~sQ19_spl|~sQ53_spl|~sQ12_spl)),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f1744,f1511])).
% 0.14/0.48 fof(f1748,plain,(
% 0.14/0.48 ~inverse(identity)=identity|~sQ53_spl|~sQ12_spl|sQ22_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1744,f1742])).
% 0.14/0.48 fof(f1749,plain,(
% 0.14/0.48 ~identity=identity|~sQ53_spl|~sQ12_spl|sQ22_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1744,f1748])).
% 0.14/0.48 fof(f1750,plain,(
% 0.14/0.48 $false|~sQ53_spl|~sQ12_spl|sQ22_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f1749])).
% 0.14/0.48 fof(f1751,plain,(
% 0.14/0.48 ~sQ53_spl|~sQ12_spl|sQ22_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f1750])).
% 0.14/0.48 fof(f1752,plain,(
% 0.14/0.48 ~sQ56_spl|sQ176_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f1731,f417,f1726])).
% 0.14/0.48 fof(f1801,plain,(
% 0.14/0.48 ~identity=sk_c10|~sQ6_spl|~sQ5_spl|sQ55_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f1689,f402])).
% 0.14/0.48 fof(f1807,plain,(
% 0.14/0.48 inverse(sk_c3)=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f1689,f118])).
% 0.14/0.48 fof(f1808,plain,(
% 0.14/0.48 multiply(sk_c5,sk_c8)=identity|~sQ6_spl|~sQ5_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f1689,f130])).
% 0.14/0.48 fof(f1809,plain,(
% 0.14/0.48 multiply(sk_c3,identity)=sk_c10|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f1689,f114])).
% 0.14/0.48 fof(f1815,plain,(
% 0.14/0.48 multiply(identity,sk_c3)=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f1807,f56])).
% 0.14/0.48 fof(f1817,plain,(
% 0.14/0.48 sk_c3=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f1815])).
% 0.14/0.48 fof(f1822,plain,(
% 0.14/0.48 identity=multiply(inverse(sk_c3),sk_c10)|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f1809,f237])).
% 0.14/0.48 fof(f1824,plain,(
% 0.14/0.48 identity=multiply(identity,sk_c10)|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1807,f1822])).
% 0.14/0.48 fof(f1825,plain,(
% 0.14/0.48 identity=sk_c10|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f1824])).
% 0.14/0.48 fof(f1826,plain,(
% 0.14/0.48 $false|sQ53_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f1825,f395])).
% 0.14/0.48 fof(f1827,plain,(
% 0.14/0.48 sQ53_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f1826])).
% 0.14/0.48 fof(f1829,plain,(
% 0.14/0.48 ~sQ53_spl|~sQ6_spl|~sQ5_spl|sQ55_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f1801,f393,f133,f129,f400])).
% 0.14/0.48 fof(f1837,plain,(
% 0.14/0.48 ~sQ56_spl|~sQ53_spl|sQ21_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f1533,f417,f393,f255])).
% 0.14/0.48 fof(f1848,plain,(
% 0.14/0.48 inverse(identity)=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f1817,f1807])).
% 0.14/0.48 fof(f1857,plain,(
% 0.14/0.48 inverse(sk_c4)=identity|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f1825,f126])).
% 0.14/0.48 fof(f1858,plain,(
% 0.14/0.48 multiply(sk_c4,identity)=sk_c9|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f1825,f122])).
% 0.14/0.48 fof(f1861,plain,(
% 0.14/0.48 ~inverse(inverse(identity))=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ22_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f1848,f260])).
% 0.14/0.48 fof(f1864,plain,(
% 0.14/0.48 ~inverse(identity)=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ22_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1848,f1861])).
% 0.14/0.48 fof(f1865,plain,(
% 0.14/0.48 ~identity=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ22_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1848,f1864])).
% 0.14/0.48 fof(f1866,plain,(
% 0.14/0.48 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ22_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f1865])).
% 0.14/0.48 fof(f1867,plain,(
% 0.14/0.48 ~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ22_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f1866])).
% 0.14/0.48 fof(f1868,plain,(
% 0.14/0.48 sQ24_spl|~sQ12_spl|~sQ128_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f1114,f265,f166,f1022])).
% 0.14/0.48 fof(f1869,definition,(
% 0.14/0.48 sQ178_spl <=> (multiply(identity,identity)=sk_c11)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ178_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f1871,plain,(
% 0.14/0.48 ~multiply(identity,identity)=sk_c11|sQ178_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f1869])).
% 0.14/0.48 fof(f1872,plain,(
% 0.14/0.48 ~sQ178_spl|~sQ176_spl|sQ24_spl|~sQ19_spl|~sQ53_spl|~sQ12_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f1745,f1869,f1726,f265,f217,f393,f166])).
% 0.14/0.48 fof(f1875,plain,(
% 0.14/0.48 ~identity=sk_c11|sQ178_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f1871])).
% 0.14/0.48 fof(f1883,definition,(
% 0.14/0.48 sQ179_spl <=> (identity=identity)),
% 0.14/0.48 introduced(definition,[new_symbols(definition,[sQ179_spl])],[split_symbol_definition])).
% 0.14/0.48 fof(f1885,plain,(
% 0.14/0.48 ~identity=identity|sQ179_spl),
% 0.14/0.48 inference(component_clause,[status(thm)],[f1883])).
% 0.14/0.48 fof(f1888,plain,(
% 0.14/0.48 $false|sQ179_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f1885])).
% 0.14/0.48 fof(f1889,plain,(
% 0.14/0.48 sQ179_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f1888])).
% 0.14/0.48 fof(f1910,plain,(
% 0.14/0.48 ~multiply(identity,sk_c11)=sk_c9|~sQ53_spl|sQ0_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f394,f112])).
% 0.14/0.48 fof(f1911,plain,(
% 0.14/0.48 ~sk_c11=sk_c9|~sQ53_spl|sQ0_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f1910])).
% 0.14/0.48 fof(f1920,plain,(
% 0.14/0.48 multiply(identity,sk_c4)=identity|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl),
% 0.14/0.48 inference(paramodulation,[status(thm)],[f1857,f56])).
% 0.14/0.48 fof(f1922,plain,(
% 0.14/0.48 sk_c4=identity|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ4_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f1920])).
% 0.14/0.48 fof(f1945,plain,(
% 0.14/0.48 identity=sk_c11|~sQ6_spl|~sQ5_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1808,f130])).
% 0.14/0.48 fof(f1971,plain,(
% 0.14/0.48 ~identity=sk_c9|~sQ6_spl|~sQ5_spl|~sQ53_spl|sQ0_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1945,f1911])).
% 0.14/0.48 fof(f1977,plain,(
% 0.14/0.48 ~identity=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ53_spl|sQ48_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1848,f1514])).
% 0.14/0.48 fof(f1978,plain,(
% 0.14/0.48 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ53_spl|sQ48_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f1977])).
% 0.14/0.48 fof(f1979,plain,(
% 0.14/0.48 ~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ53_spl|sQ48_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f1978])).
% 0.14/0.48 fof(f1983,plain,(
% 0.14/0.48 ~inverse(identity)=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ53_spl|sQ46_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1848,f1534])).
% 0.14/0.48 fof(f1984,plain,(
% 0.14/0.48 ~identity=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ53_spl|sQ46_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1848,f1983])).
% 0.14/0.48 fof(f1985,plain,(
% 0.14/0.48 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ53_spl|sQ46_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f1984])).
% 0.14/0.48 fof(f1986,plain,(
% 0.14/0.48 ~sQ6_spl|~sQ5_spl|~sQ2_spl|~sQ53_spl|sQ46_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f1985])).
% 0.14/0.48 fof(f1991,plain,(
% 0.14/0.48 ~identity=sk_c11|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ23_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1848,f264])).
% 0.14/0.48 fof(f1992,plain,(
% 0.14/0.48 ~identity=identity|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ23_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1945,f1991])).
% 0.14/0.48 fof(f1993,plain,(
% 0.14/0.48 $false|~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ23_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f1992])).
% 0.14/0.48 fof(f1994,plain,(
% 0.14/0.48 ~sQ6_spl|~sQ5_spl|~sQ2_spl|sQ23_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f1993])).
% 0.14/0.48 fof(f1996,plain,(
% 0.14/0.48 ~sQ23_spl|sQ20_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f342,f262,f252])).
% 0.14/0.48 fof(f2060,plain,(
% 0.14/0.48 multiply(identity,identity)=sk_c9|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f1922,f1858])).
% 0.14/0.48 fof(f2062,plain,(
% 0.14/0.48 identity=sk_c9|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f2060])).
% 0.14/0.48 fof(f2084,plain,(
% 0.14/0.48 ~inverse(inverse(sk_c9))=identity|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|sQ94_spl),
% 0.14/0.48 inference(backward_demodulation,[status(thm)],[f2062,f789])).
% 0.14/0.48 fof(f2086,plain,(
% 0.14/0.48 ~inverse(inverse(identity))=identity|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|sQ94_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f2062,f2084])).
% 0.14/0.48 fof(f2087,plain,(
% 0.14/0.48 ~inverse(identity)=identity|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|sQ94_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1848,f2086])).
% 0.14/0.48 fof(f2088,plain,(
% 0.14/0.48 ~identity=identity|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|sQ94_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1848,f2087])).
% 0.14/0.48 fof(f2089,plain,(
% 0.14/0.48 $false|~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|sQ94_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f2088])).
% 0.14/0.48 fof(f2090,plain,(
% 0.14/0.48 ~sQ4_spl|~sQ2_spl|~sQ6_spl|~sQ5_spl|~sQ1_spl|~sQ3_spl|sQ94_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f2089])).
% 0.14/0.48 fof(f2094,plain,(
% 0.14/0.48 ~identity=identity|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ53_spl|sQ0_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f2062,f1971])).
% 0.14/0.48 fof(f2095,plain,(
% 0.14/0.48 $false|~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ53_spl|sQ0_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f2094])).
% 0.14/0.48 fof(f2096,plain,(
% 0.14/0.48 ~sQ4_spl|~sQ2_spl|~sQ1_spl|~sQ3_spl|~sQ6_spl|~sQ5_spl|~sQ53_spl|sQ0_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f2095])).
% 0.14/0.48 fof(f2109,plain,(
% 0.14/0.48 ~multiply(inverse(identity),identity)=sk_c11|~sQ53_spl|~sQ12_spl|sQ127_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f394,f1115])).
% 0.14/0.48 fof(f2110,plain,(
% 0.14/0.48 ~identity=sk_c11|~sQ53_spl|~sQ12_spl|sQ127_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f56,f2109])).
% 0.14/0.48 fof(f2191,plain,(
% 0.14/0.48 sk_c1=multiply(inverse(identity),identity)|~sQ53_spl|~sQ12_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f394,f824])).
% 0.14/0.48 fof(f2192,plain,(
% 0.14/0.48 sk_c1=identity|~sQ53_spl|~sQ12_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f56,f2191])).
% 0.14/0.48 fof(f2228,plain,(
% 0.14/0.48 multiply(sk_c1,identity)=sk_c11|~sQ53_spl|~sQ11_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f394,f154])).
% 0.14/0.48 fof(f2272,plain,(
% 0.14/0.48 multiply(identity,identity)=sk_c11|~sQ12_spl|~sQ53_spl|~sQ11_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f2192,f2228])).
% 0.14/0.48 fof(f2273,plain,(
% 0.14/0.48 identity=sk_c11|~sQ12_spl|~sQ53_spl|~sQ11_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f2272])).
% 0.14/0.48 fof(f2274,plain,(
% 0.14/0.48 $false|sQ127_spl|~sQ12_spl|~sQ53_spl|~sQ11_spl),
% 0.14/0.48 inference(forward_subsumption_resolution,[status(thm)],[f2273,f2110])).
% 0.14/0.48 fof(f2275,plain,(
% 0.14/0.48 sQ127_spl|~sQ12_spl|~sQ53_spl|~sQ11_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f2274])).
% 0.14/0.48 fof(f2276,plain,(
% 0.14/0.48 sQ56_spl|~sQ12_spl|~sQ53_spl|~sQ11_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f2273,f417,f166,f393,f153])).
% 0.14/0.48 fof(f2289,plain,(
% 0.14/0.48 ~sQ56_spl|sQ178_spl),
% 0.14/0.48 inference(split_clause,[status(thm)],[f1875,f417,f1869])).
% 0.14/0.48 fof(f2290,plain,(
% 0.14/0.48 ![X0]: (~multiply(X0,sk_c11)=identity|~inverse(X0)=sk_c11|~sQ53_spl|~sQ17_spl)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f394,f212])).
% 0.14/0.48 fof(f2295,plain,(
% 0.14/0.48 multiply(identity,identity)=sk_c11|~sQ12_spl|~sQ53_spl|~sQ11_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f2192,f1526])).
% 0.14/0.48 fof(f2304,plain,(
% 0.14/0.48 identity=sk_c11|~sQ12_spl|~sQ53_spl|~sQ11_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f55,f2295])).
% 0.14/0.48 fof(f2305,plain,(
% 0.14/0.48 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=sk_c11|~sQ12_spl|~sQ11_spl|~sQ53_spl|~sQ17_spl)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f2304,f2290])).
% 0.14/0.48 fof(f2306,plain,(
% 0.14/0.48 ![X0]: (~multiply(X0,identity)=identity|~inverse(X0)=identity|~sQ12_spl|~sQ11_spl|~sQ53_spl|~sQ17_spl)),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f2304,f2305])).
% 0.14/0.48 fof(f2307,plain,(
% 0.14/0.48 ~inverse(inverse(identity))=identity|~sQ12_spl|~sQ11_spl|~sQ53_spl|~sQ17_spl),
% 0.14/0.48 inference(resolution,[status(thm)],[f2306,f56])).
% 0.14/0.48 fof(f2312,plain,(
% 0.14/0.48 ~inverse(identity)=identity|~sQ12_spl|~sQ11_spl|~sQ53_spl|~sQ17_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1744,f2307])).
% 0.14/0.48 fof(f2313,plain,(
% 0.14/0.48 ~identity=identity|~sQ12_spl|~sQ11_spl|~sQ53_spl|~sQ17_spl),
% 0.14/0.48 inference(forward_demodulation,[status(thm)],[f1744,f2312])).
% 0.14/0.48 fof(f2314,plain,(
% 0.14/0.48 $false|~sQ12_spl|~sQ11_spl|~sQ53_spl|~sQ17_spl),
% 0.14/0.48 inference(trivial_equality_resolution,[status(thm)],[f2313])).
% 0.14/0.48 fof(f2315,plain,(
% 0.14/0.48 ~sQ12_spl|~sQ11_spl|~sQ53_spl|~sQ17_spl),
% 0.14/0.48 inference(contradiction_clause,[status(thm)],[f2314])).
% 0.14/0.48 fof(f2316,plain,(
% 0.14/0.48 $false),
% 0.14/0.48 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,f220,f261,f268,f354,f376,f378,f392,f405,f413,f420,f421,f436,f599,f790,f1025,f1207,f1309,f1311,f1486,f1541,f1691,f1751,f1752,f1827,f1829,f1837,f1867,f1868,f1872,f1889,f1979,f1986,f1994,f1996,f2090,f2096,f2275,f2276,f2289,f2315])).
% 0.14/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.49 % Elapsed time: 0.118936 seconds
% 0.14/0.49 % CPU time: 0.712157 seconds
% 0.14/0.49 % Total memory used: 111.538 MB
% 0.14/0.49 % Net memory used: 110.883 MB
%------------------------------------------------------------------------------