TSTP Solution File: GRP298-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP298-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 20:20:00 EDT 2024
% Result : Unsatisfiable 1.78s 0.60s
% Output : CNFRefutation 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP298-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:22:04 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 1.78/0.60 % Refutation found
% 1.78/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.78/0.60 % SZS output start CNFRefutation for theBenchmark
% 1.78/0.60 fof(f1,axiom,(
% 1.78/0.60 (![X]: (multiply(identity,X) = X ))),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f2,axiom,(
% 1.78/0.60 (![X]: (multiply(inverse(X),X) = identity ))),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f3,axiom,(
% 1.78/0.60 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f4,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f5,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c2) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f6,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f7,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c3) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f8,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f9,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c4,sk_c5) = sk_c7 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f10,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c8,sk_c7) = sk_c6| inverse(sk_c4) = sk_c5 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f11,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c8,sk_c7) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f12,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f13,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c2) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f14,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f15,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c1,sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f16,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c1,sk_c8) = sk_c7| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f20,negated_conjecture,(
% 1.78/0.60 ( inverse(sk_c1) = sk_c8| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f21,negated_conjecture,(
% 1.78/0.60 ( inverse(sk_c1) = sk_c8| inverse(sk_c2) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f22,negated_conjecture,(
% 1.78/0.60 ( inverse(sk_c1) = sk_c8| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f23,negated_conjecture,(
% 1.78/0.60 ( inverse(sk_c1) = sk_c8| inverse(sk_c3) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f24,negated_conjecture,(
% 1.78/0.60 ( inverse(sk_c1) = sk_c8| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f28,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c2,sk_c8) = sk_c7 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f29,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c2) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f30,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c8,sk_c6) = sk_c7 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f31,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c6,sk_c8) = sk_c7| inverse(sk_c3) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f32,negated_conjecture,(
% 1.78/0.60 ( multiply(sk_c6,sk_c8) = sk_c7| multiply(sk_c3,sk_c7) = sk_c8 ) ),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f36,negated_conjecture,(
% 1.78/0.60 (![X2,X1,X3,X4,X5]: (( multiply(sk_c8,sk_c7) != sk_c6| multiply(X2,sk_c8) != sk_c7| inverse(X2) != sk_c8| multiply(sk_c6,sk_c8) != sk_c7| multiply(X1,sk_c8) != sk_c7| inverse(X1) != sk_c8| multiply(sk_c8,sk_c6) != sk_c7| inverse(X3) != sk_c8| multiply(X3,sk_c7) != sk_c8| multiply(X4,X5) != sk_c7| inverse(X4) != X5| multiply(X5,sk_c6) != sk_c7 ) ))),
% 1.78/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.78/0.60 fof(f37,plain,(
% 1.78/0.60 ![X0]: (multiply(identity,X0)=X0)),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f1])).
% 1.78/0.60 fof(f38,plain,(
% 1.78/0.60 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f2])).
% 1.78/0.60 fof(f39,plain,(
% 1.78/0.60 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f3])).
% 1.78/0.60 fof(f40,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c2,sk_c8)=sk_c7),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f4])).
% 1.78/0.60 fof(f41,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c2)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f5])).
% 1.78/0.60 fof(f42,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c8,sk_c6)=sk_c7),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f6])).
% 1.78/0.60 fof(f43,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c3)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f7])).
% 1.78/0.60 fof(f44,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c3,sk_c7)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f8])).
% 1.78/0.60 fof(f45,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c4,sk_c5)=sk_c7),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f9])).
% 1.78/0.60 fof(f46,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c7)=sk_c6|inverse(sk_c4)=sk_c5),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f10])).
% 1.78/0.60 fof(f47,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c7)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f11])).
% 1.78/0.60 fof(f48,plain,(
% 1.78/0.60 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f12])).
% 1.78/0.60 fof(f49,plain,(
% 1.78/0.60 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c2)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f13])).
% 1.78/0.60 fof(f50,plain,(
% 1.78/0.60 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f14])).
% 1.78/0.60 fof(f51,plain,(
% 1.78/0.60 multiply(sk_c1,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f15])).
% 1.78/0.60 fof(f52,plain,(
% 1.78/0.60 multiply(sk_c1,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f16])).
% 1.78/0.60 fof(f56,plain,(
% 1.78/0.60 inverse(sk_c1)=sk_c8|multiply(sk_c2,sk_c8)=sk_c7),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f20])).
% 1.78/0.60 fof(f57,plain,(
% 1.78/0.60 inverse(sk_c1)=sk_c8|inverse(sk_c2)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f21])).
% 1.78/0.60 fof(f58,plain,(
% 1.78/0.60 inverse(sk_c1)=sk_c8|multiply(sk_c8,sk_c6)=sk_c7),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f22])).
% 1.78/0.60 fof(f59,plain,(
% 1.78/0.60 inverse(sk_c1)=sk_c8|inverse(sk_c3)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f23])).
% 1.78/0.60 fof(f60,plain,(
% 1.78/0.60 inverse(sk_c1)=sk_c8|multiply(sk_c3,sk_c7)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f24])).
% 1.78/0.60 fof(f64,plain,(
% 1.78/0.60 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c2,sk_c8)=sk_c7),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f28])).
% 1.78/0.60 fof(f65,plain,(
% 1.78/0.60 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c2)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f29])).
% 1.78/0.60 fof(f66,plain,(
% 1.78/0.60 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c8,sk_c6)=sk_c7),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f30])).
% 1.78/0.60 fof(f67,plain,(
% 1.78/0.60 multiply(sk_c6,sk_c8)=sk_c7|inverse(sk_c3)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f31])).
% 1.78/0.60 fof(f68,plain,(
% 1.78/0.60 multiply(sk_c6,sk_c8)=sk_c7|multiply(sk_c3,sk_c7)=sk_c8),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f32])).
% 1.78/0.60 fof(f72,plain,(
% 1.78/0.60 ![X5]: ((![X4]: (((![X3]: ((((![X1]: ((((![X2]: ((~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X2,sk_c8)=sk_c7)|~inverse(X2)=sk_c8))|~multiply(sk_c6,sk_c8)=sk_c7)|~multiply(X1,sk_c8)=sk_c7)|~inverse(X1)=sk_c8))|~multiply(sk_c8,sk_c6)=sk_c7)|~inverse(X3)=sk_c8)|~multiply(X3,sk_c7)=sk_c8))|~multiply(X4,X5)=sk_c7)|~inverse(X4)=X5))|~multiply(X5,sk_c6)=sk_c7)),
% 1.78/0.60 inference(miniscoping,[status(esa)],[f36])).
% 1.78/0.60 fof(f73,plain,(
% 1.78/0.60 ![X0,X1,X2,X3,X4]: (~multiply(sk_c8,sk_c7)=sk_c6|~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~multiply(sk_c6,sk_c8)=sk_c7|~multiply(X1,sk_c8)=sk_c7|~inverse(X1)=sk_c8|~multiply(sk_c8,sk_c6)=sk_c7|~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8|~multiply(X3,X4)=sk_c7|~inverse(X3)=X4|~multiply(X4,sk_c6)=sk_c7)),
% 1.78/0.60 inference(cnf_transformation,[status(esa)],[f72])).
% 1.78/0.60 fof(f74,plain,(
% 1.78/0.60 spl0_0 <=> multiply(sk_c8,sk_c7)=sk_c6),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f75,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c7)=sk_c6|~spl0_0),
% 1.78/0.60 inference(component_clause,[status(thm)],[f74])).
% 1.78/0.60 fof(f76,plain,(
% 1.78/0.60 ~multiply(sk_c8,sk_c7)=sk_c6|spl0_0),
% 1.78/0.60 inference(component_clause,[status(thm)],[f74])).
% 1.78/0.60 fof(f77,plain,(
% 1.78/0.60 spl0_1 <=> multiply(sk_c2,sk_c8)=sk_c7),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f78,plain,(
% 1.78/0.60 multiply(sk_c2,sk_c8)=sk_c7|~spl0_1),
% 1.78/0.60 inference(component_clause,[status(thm)],[f77])).
% 1.78/0.60 fof(f80,plain,(
% 1.78/0.60 spl0_0|spl0_1),
% 1.78/0.60 inference(split_clause,[status(thm)],[f40,f74,f77])).
% 1.78/0.60 fof(f81,plain,(
% 1.78/0.60 spl0_2 <=> inverse(sk_c2)=sk_c8),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f82,plain,(
% 1.78/0.60 inverse(sk_c2)=sk_c8|~spl0_2),
% 1.78/0.60 inference(component_clause,[status(thm)],[f81])).
% 1.78/0.60 fof(f84,plain,(
% 1.78/0.60 spl0_0|spl0_2),
% 1.78/0.60 inference(split_clause,[status(thm)],[f41,f74,f81])).
% 1.78/0.60 fof(f85,plain,(
% 1.78/0.60 spl0_3 <=> multiply(sk_c8,sk_c6)=sk_c7),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f86,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c6)=sk_c7|~spl0_3),
% 1.78/0.60 inference(component_clause,[status(thm)],[f85])).
% 1.78/0.60 fof(f87,plain,(
% 1.78/0.60 ~multiply(sk_c8,sk_c6)=sk_c7|spl0_3),
% 1.78/0.60 inference(component_clause,[status(thm)],[f85])).
% 1.78/0.60 fof(f88,plain,(
% 1.78/0.60 spl0_0|spl0_3),
% 1.78/0.60 inference(split_clause,[status(thm)],[f42,f74,f85])).
% 1.78/0.60 fof(f89,plain,(
% 1.78/0.60 spl0_4 <=> inverse(sk_c3)=sk_c8),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f90,plain,(
% 1.78/0.60 inverse(sk_c3)=sk_c8|~spl0_4),
% 1.78/0.60 inference(component_clause,[status(thm)],[f89])).
% 1.78/0.60 fof(f92,plain,(
% 1.78/0.60 spl0_0|spl0_4),
% 1.78/0.60 inference(split_clause,[status(thm)],[f43,f74,f89])).
% 1.78/0.60 fof(f93,plain,(
% 1.78/0.60 spl0_5 <=> multiply(sk_c3,sk_c7)=sk_c8),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f94,plain,(
% 1.78/0.60 multiply(sk_c3,sk_c7)=sk_c8|~spl0_5),
% 1.78/0.60 inference(component_clause,[status(thm)],[f93])).
% 1.78/0.60 fof(f96,plain,(
% 1.78/0.60 spl0_0|spl0_5),
% 1.78/0.60 inference(split_clause,[status(thm)],[f44,f74,f93])).
% 1.78/0.60 fof(f97,plain,(
% 1.78/0.60 spl0_6 <=> multiply(sk_c4,sk_c5)=sk_c7),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f98,plain,(
% 1.78/0.60 multiply(sk_c4,sk_c5)=sk_c7|~spl0_6),
% 1.78/0.60 inference(component_clause,[status(thm)],[f97])).
% 1.78/0.60 fof(f100,plain,(
% 1.78/0.60 spl0_0|spl0_6),
% 1.78/0.60 inference(split_clause,[status(thm)],[f45,f74,f97])).
% 1.78/0.60 fof(f101,plain,(
% 1.78/0.60 spl0_7 <=> inverse(sk_c4)=sk_c5),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f102,plain,(
% 1.78/0.60 inverse(sk_c4)=sk_c5|~spl0_7),
% 1.78/0.60 inference(component_clause,[status(thm)],[f101])).
% 1.78/0.60 fof(f104,plain,(
% 1.78/0.60 spl0_0|spl0_7),
% 1.78/0.60 inference(split_clause,[status(thm)],[f46,f74,f101])).
% 1.78/0.60 fof(f105,plain,(
% 1.78/0.60 spl0_8 <=> multiply(sk_c5,sk_c6)=sk_c7),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f106,plain,(
% 1.78/0.60 multiply(sk_c5,sk_c6)=sk_c7|~spl0_8),
% 1.78/0.60 inference(component_clause,[status(thm)],[f105])).
% 1.78/0.60 fof(f108,plain,(
% 1.78/0.60 spl0_0|spl0_8),
% 1.78/0.60 inference(split_clause,[status(thm)],[f47,f74,f105])).
% 1.78/0.60 fof(f109,plain,(
% 1.78/0.60 spl0_9 <=> multiply(sk_c1,sk_c8)=sk_c7),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f110,plain,(
% 1.78/0.60 multiply(sk_c1,sk_c8)=sk_c7|~spl0_9),
% 1.78/0.60 inference(component_clause,[status(thm)],[f109])).
% 1.78/0.60 fof(f112,plain,(
% 1.78/0.60 spl0_9|spl0_1),
% 1.78/0.60 inference(split_clause,[status(thm)],[f48,f109,f77])).
% 1.78/0.60 fof(f113,plain,(
% 1.78/0.60 spl0_9|spl0_2),
% 1.78/0.60 inference(split_clause,[status(thm)],[f49,f109,f81])).
% 1.78/0.60 fof(f114,plain,(
% 1.78/0.60 spl0_9|spl0_3),
% 1.78/0.60 inference(split_clause,[status(thm)],[f50,f109,f85])).
% 1.78/0.60 fof(f115,plain,(
% 1.78/0.60 spl0_9|spl0_4),
% 1.78/0.60 inference(split_clause,[status(thm)],[f51,f109,f89])).
% 1.78/0.60 fof(f116,plain,(
% 1.78/0.60 spl0_9|spl0_5),
% 1.78/0.60 inference(split_clause,[status(thm)],[f52,f109,f93])).
% 1.78/0.60 fof(f120,plain,(
% 1.78/0.60 spl0_10 <=> inverse(sk_c1)=sk_c8),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f121,plain,(
% 1.78/0.60 inverse(sk_c1)=sk_c8|~spl0_10),
% 1.78/0.60 inference(component_clause,[status(thm)],[f120])).
% 1.78/0.60 fof(f123,plain,(
% 1.78/0.60 spl0_10|spl0_1),
% 1.78/0.60 inference(split_clause,[status(thm)],[f56,f120,f77])).
% 1.78/0.60 fof(f124,plain,(
% 1.78/0.60 spl0_10|spl0_2),
% 1.78/0.60 inference(split_clause,[status(thm)],[f57,f120,f81])).
% 1.78/0.60 fof(f125,plain,(
% 1.78/0.60 spl0_10|spl0_3),
% 1.78/0.60 inference(split_clause,[status(thm)],[f58,f120,f85])).
% 1.78/0.60 fof(f126,plain,(
% 1.78/0.60 spl0_10|spl0_4),
% 1.78/0.60 inference(split_clause,[status(thm)],[f59,f120,f89])).
% 1.78/0.60 fof(f127,plain,(
% 1.78/0.60 spl0_10|spl0_5),
% 1.78/0.60 inference(split_clause,[status(thm)],[f60,f120,f93])).
% 1.78/0.60 fof(f131,plain,(
% 1.78/0.60 spl0_11 <=> multiply(sk_c6,sk_c8)=sk_c7),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f132,plain,(
% 1.78/0.60 multiply(sk_c6,sk_c8)=sk_c7|~spl0_11),
% 1.78/0.60 inference(component_clause,[status(thm)],[f131])).
% 1.78/0.60 fof(f133,plain,(
% 1.78/0.60 ~multiply(sk_c6,sk_c8)=sk_c7|spl0_11),
% 1.78/0.60 inference(component_clause,[status(thm)],[f131])).
% 1.78/0.60 fof(f134,plain,(
% 1.78/0.60 spl0_11|spl0_1),
% 1.78/0.60 inference(split_clause,[status(thm)],[f64,f131,f77])).
% 1.78/0.60 fof(f135,plain,(
% 1.78/0.60 spl0_11|spl0_2),
% 1.78/0.60 inference(split_clause,[status(thm)],[f65,f131,f81])).
% 1.78/0.60 fof(f136,plain,(
% 1.78/0.60 spl0_11|spl0_3),
% 1.78/0.60 inference(split_clause,[status(thm)],[f66,f131,f85])).
% 1.78/0.60 fof(f137,plain,(
% 1.78/0.60 spl0_11|spl0_4),
% 1.78/0.60 inference(split_clause,[status(thm)],[f67,f131,f89])).
% 1.78/0.60 fof(f138,plain,(
% 1.78/0.60 spl0_11|spl0_5),
% 1.78/0.60 inference(split_clause,[status(thm)],[f68,f131,f93])).
% 1.78/0.60 fof(f142,plain,(
% 1.78/0.60 spl0_12 <=> ~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f143,plain,(
% 1.78/0.60 ![X0]: (~multiply(X0,sk_c8)=sk_c7|~inverse(X0)=sk_c8|~spl0_12)),
% 1.78/0.60 inference(component_clause,[status(thm)],[f142])).
% 1.78/0.60 fof(f145,plain,(
% 1.78/0.60 spl0_13 <=> ~inverse(X2)=sk_c8|~multiply(X2,sk_c7)=sk_c8),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f146,plain,(
% 1.78/0.60 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,sk_c7)=sk_c8|~spl0_13)),
% 1.78/0.60 inference(component_clause,[status(thm)],[f145])).
% 1.78/0.60 fof(f148,plain,(
% 1.78/0.60 spl0_14 <=> ~multiply(X3,X4)=sk_c7|~inverse(X3)=X4|~multiply(X4,sk_c6)=sk_c7),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f149,plain,(
% 1.78/0.60 ![X0,X1]: (~multiply(X0,X1)=sk_c7|~inverse(X0)=X1|~multiply(X1,sk_c6)=sk_c7|~spl0_14)),
% 1.78/0.60 inference(component_clause,[status(thm)],[f148])).
% 1.78/0.60 fof(f151,plain,(
% 1.78/0.60 ~spl0_0|spl0_12|~spl0_11|~spl0_3|spl0_13|spl0_14),
% 1.78/0.60 inference(split_clause,[status(thm)],[f73,f74,f142,f131,f85,f145,f148])).
% 1.78/0.60 fof(f152,plain,(
% 1.78/0.60 ![X0]: (~multiply(X0,inverse(X0))=sk_c7|~multiply(inverse(X0),sk_c6)=sk_c7|~spl0_14)),
% 1.78/0.60 inference(destructive_equality_resolution,[status(esa)],[f149])).
% 1.78/0.60 fof(f153,plain,(
% 1.78/0.60 spl0_15 <=> multiply(sk_c2,inverse(sk_c2))=sk_c7),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f155,plain,(
% 1.78/0.60 ~multiply(sk_c2,inverse(sk_c2))=sk_c7|spl0_15),
% 1.78/0.60 inference(component_clause,[status(thm)],[f153])).
% 1.78/0.60 fof(f156,plain,(
% 1.78/0.60 ~multiply(sk_c2,inverse(sk_c2))=sk_c7|~multiply(sk_c8,sk_c6)=sk_c7|~spl0_14|~spl0_2),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f82,f152])).
% 1.78/0.60 fof(f157,plain,(
% 1.78/0.60 ~spl0_15|~spl0_3|~spl0_14|~spl0_2),
% 1.78/0.60 inference(split_clause,[status(thm)],[f156,f153,f85,f148,f81])).
% 1.78/0.60 fof(f168,plain,(
% 1.78/0.60 spl0_18 <=> multiply(sk_c1,inverse(sk_c1))=sk_c7),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f170,plain,(
% 1.78/0.60 ~multiply(sk_c1,inverse(sk_c1))=sk_c7|spl0_18),
% 1.78/0.60 inference(component_clause,[status(thm)],[f168])).
% 1.78/0.60 fof(f171,plain,(
% 1.78/0.60 ~multiply(sk_c1,inverse(sk_c1))=sk_c7|~multiply(sk_c8,sk_c6)=sk_c7|~spl0_14|~spl0_10),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f121,f152])).
% 1.78/0.60 fof(f172,plain,(
% 1.78/0.60 ~spl0_18|~spl0_3|~spl0_14|~spl0_10),
% 1.78/0.60 inference(split_clause,[status(thm)],[f171,f168,f85,f148,f120])).
% 1.78/0.60 fof(f173,plain,(
% 1.78/0.60 ~multiply(sk_c1,sk_c8)=sk_c7|~spl0_10|spl0_18),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f121,f170])).
% 1.78/0.60 fof(f174,plain,(
% 1.78/0.60 ~sk_c7=sk_c7|~spl0_9|~spl0_10|spl0_18),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f110,f173])).
% 1.78/0.60 fof(f175,plain,(
% 1.78/0.60 $false|~spl0_9|~spl0_10|spl0_18),
% 1.78/0.60 inference(trivial_equality_resolution,[status(esa)],[f174])).
% 1.78/0.60 fof(f176,plain,(
% 1.78/0.60 ~spl0_9|~spl0_10|spl0_18),
% 1.78/0.60 inference(contradiction_clause,[status(thm)],[f175])).
% 1.78/0.60 fof(f178,plain,(
% 1.78/0.60 spl0_19 <=> sk_c8=sk_c8),
% 1.78/0.60 introduced(split_symbol_definition)).
% 1.78/0.60 fof(f180,plain,(
% 1.78/0.60 ~sk_c8=sk_c8|spl0_19),
% 1.78/0.60 inference(component_clause,[status(thm)],[f178])).
% 1.78/0.60 fof(f181,plain,(
% 1.78/0.60 ~inverse(sk_c3)=sk_c8|~sk_c8=sk_c8|~spl0_13|~spl0_5),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f94,f146])).
% 1.78/0.60 fof(f182,plain,(
% 1.78/0.60 ~spl0_4|~spl0_19|~spl0_13|~spl0_5),
% 1.78/0.60 inference(split_clause,[status(thm)],[f181,f89,f178,f145,f93])).
% 1.78/0.60 fof(f183,plain,(
% 1.78/0.60 $false|spl0_19),
% 1.78/0.60 inference(trivial_equality_resolution,[status(esa)],[f180])).
% 1.78/0.60 fof(f184,plain,(
% 1.78/0.60 spl0_19),
% 1.78/0.60 inference(contradiction_clause,[status(thm)],[f183])).
% 1.78/0.60 fof(f193,plain,(
% 1.78/0.60 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c8,multiply(sk_c6,X0))|~spl0_3)),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f86,f39])).
% 1.78/0.60 fof(f194,plain,(
% 1.78/0.60 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~spl0_8)),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f106,f39])).
% 1.78/0.60 fof(f195,plain,(
% 1.78/0.60 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c6,multiply(sk_c8,X0))|~spl0_11)),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f132,f39])).
% 1.78/0.60 fof(f196,plain,(
% 1.78/0.60 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c2,multiply(sk_c8,X0))|~spl0_1)),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f78,f39])).
% 1.78/0.60 fof(f199,plain,(
% 1.78/0.60 multiply(sk_c7,sk_c8)=multiply(sk_c8,sk_c7)|~spl0_3|~spl0_11),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f132,f193])).
% 1.78/0.60 fof(f203,plain,(
% 1.78/0.60 multiply(sk_c7,sk_c8)=multiply(sk_c5,sk_c7)|~spl0_8|~spl0_11),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f132,f194])).
% 1.78/0.60 fof(f210,plain,(
% 1.78/0.60 ![X0]: (multiply(sk_c7,multiply(sk_c8,X0))=multiply(sk_c8,multiply(sk_c7,X0))|~spl0_3|~spl0_11)),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f195,f193])).
% 1.78/0.60 fof(f215,plain,(
% 1.78/0.60 multiply(sk_c7,sk_c6)=multiply(sk_c2,sk_c7)|~spl0_1|~spl0_3),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f86,f196])).
% 1.78/0.60 fof(f240,plain,(
% 1.78/0.60 multiply(sk_c7,sk_c7)=multiply(sk_c8,multiply(sk_c7,sk_c6))|~spl0_11|~spl0_3),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f86,f210])).
% 1.78/0.60 fof(f269,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c7)=multiply(sk_c5,sk_c7)|~spl0_3|~spl0_8|~spl0_11),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f199,f203])).
% 1.78/0.60 fof(f999,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c3)=identity|~spl0_4),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f90,f38])).
% 1.78/0.60 fof(f1001,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c1)=identity|~spl0_10),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f121,f38])).
% 1.78/0.60 fof(f1002,plain,(
% 1.78/0.60 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f38,f39])).
% 1.78/0.60 fof(f1003,plain,(
% 1.78/0.60 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f37,f1002])).
% 1.78/0.60 fof(f1010,plain,(
% 1.78/0.60 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c3,X0))|~spl0_4)),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f999,f39])).
% 1.78/0.60 fof(f1011,plain,(
% 1.78/0.60 ![X0]: (X0=multiply(sk_c8,multiply(sk_c3,X0))|~spl0_4)),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f37,f1010])).
% 1.78/0.60 fof(f1063,plain,(
% 1.78/0.60 sk_c7=multiply(inverse(sk_c2),multiply(sk_c7,sk_c6))|~spl0_1|~spl0_3),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f215,f1003])).
% 1.78/0.60 fof(f1064,plain,(
% 1.78/0.60 sk_c7=multiply(sk_c8,multiply(sk_c7,sk_c6))|~spl0_2|~spl0_1|~spl0_3),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f82,f1063])).
% 1.78/0.60 fof(f1065,plain,(
% 1.78/0.60 sk_c7=multiply(sk_c7,sk_c7)|~spl0_11|~spl0_2|~spl0_1|~spl0_3),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f240,f1064])).
% 1.78/0.60 fof(f1071,plain,(
% 1.78/0.60 sk_c8=multiply(inverse(sk_c2),sk_c7)|~spl0_1),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f78,f1003])).
% 1.78/0.60 fof(f1072,plain,(
% 1.78/0.60 sk_c8=multiply(sk_c8,sk_c7)|~spl0_2|~spl0_1),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f82,f1071])).
% 1.78/0.60 fof(f1091,plain,(
% 1.78/0.60 sk_c7=multiply(inverse(sk_c3),sk_c8)|~spl0_5),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f94,f1003])).
% 1.78/0.60 fof(f1092,plain,(
% 1.78/0.60 sk_c7=multiply(sk_c8,sk_c8)|~spl0_4|~spl0_5),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f90,f1091])).
% 1.78/0.60 fof(f1128,plain,(
% 1.78/0.60 sk_c5=multiply(inverse(sk_c4),sk_c7)|~spl0_6),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f98,f1003])).
% 1.78/0.60 fof(f1129,plain,(
% 1.78/0.60 sk_c5=multiply(sk_c5,sk_c7)|~spl0_7|~spl0_6),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f102,f1128])).
% 1.78/0.60 fof(f1130,plain,(
% 1.78/0.60 sk_c5=multiply(sk_c8,sk_c7)|~spl0_3|~spl0_8|~spl0_11|~spl0_7|~spl0_6),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f269,f1129])).
% 1.78/0.60 fof(f1197,plain,(
% 1.78/0.60 sk_c7=multiply(inverse(sk_c7),sk_c7)|~spl0_11|~spl0_2|~spl0_1|~spl0_3),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f1065,f1003])).
% 1.78/0.60 fof(f1198,plain,(
% 1.78/0.60 sk_c7=identity|~spl0_11|~spl0_2|~spl0_1|~spl0_3),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f38,f1197])).
% 1.78/0.60 fof(f1355,plain,(
% 1.78/0.60 ~multiply(sk_c8,identity)=sk_c6|~spl0_11|~spl0_2|~spl0_1|~spl0_3|spl0_0),
% 1.78/0.60 inference(backward_demodulation,[status(thm)],[f1198,f76])).
% 1.78/0.60 fof(f1356,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c6)=identity|~spl0_11|~spl0_2|~spl0_1|~spl0_3),
% 1.78/0.60 inference(backward_demodulation,[status(thm)],[f1198,f86])).
% 1.78/0.60 fof(f1363,plain,(
% 1.78/0.60 sk_c8=multiply(sk_c8,identity)|~spl0_11|~spl0_3|~spl0_2|~spl0_1),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1198,f1072])).
% 1.78/0.60 fof(f1366,plain,(
% 1.78/0.60 identity=multiply(sk_c8,sk_c8)|~spl0_11|~spl0_2|~spl0_1|~spl0_3|~spl0_4|~spl0_5),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1198,f1092])).
% 1.78/0.60 fof(f1368,plain,(
% 1.78/0.60 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_11|~spl0_2|~spl0_1|~spl0_3|~spl0_4|~spl0_5)),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f1366,f39])).
% 1.78/0.60 fof(f1369,plain,(
% 1.78/0.60 ![X0]: (X0=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_11|~spl0_2|~spl0_1|~spl0_3|~spl0_4|~spl0_5)),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f37,f1368])).
% 1.78/0.60 fof(f1373,plain,(
% 1.78/0.60 sk_c5=multiply(sk_c8,identity)|~spl0_2|~spl0_1|~spl0_3|~spl0_8|~spl0_11|~spl0_7|~spl0_6),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1198,f1130])).
% 1.78/0.60 fof(f1374,plain,(
% 1.78/0.60 sk_c5=sk_c8|~spl0_2|~spl0_1|~spl0_3|~spl0_8|~spl0_11|~spl0_7|~spl0_6),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1363,f1373])).
% 1.78/0.60 fof(f1467,plain,(
% 1.78/0.60 sk_c6=multiply(sk_c8,identity)|~spl0_4|~spl0_5|~spl0_11|~spl0_2|~spl0_1|~spl0_3),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f1356,f1369])).
% 1.78/0.60 fof(f1468,plain,(
% 1.78/0.60 sk_c6=sk_c8|~spl0_4|~spl0_5|~spl0_11|~spl0_2|~spl0_1|~spl0_3),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1363,f1467])).
% 1.78/0.60 fof(f1493,plain,(
% 1.78/0.60 ~multiply(sk_c2,sk_c8)=sk_c7|~spl0_2|spl0_15),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f82,f155])).
% 1.78/0.60 fof(f1497,plain,(
% 1.78/0.60 sk_c7=multiply(inverse(sk_c8),sk_c8)|~spl0_2|~spl0_1),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f1072,f1003])).
% 1.78/0.60 fof(f1498,plain,(
% 1.78/0.60 sk_c7=identity|~spl0_2|~spl0_1),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f38,f1497])).
% 1.78/0.60 fof(f1510,plain,(
% 1.78/0.60 multiply(sk_c2,sk_c8)=identity|~spl0_2|~spl0_1),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1498,f78])).
% 1.78/0.60 fof(f1515,plain,(
% 1.78/0.60 multiply(sk_c3,identity)=sk_c8|~spl0_2|~spl0_1|~spl0_5),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1498,f94])).
% 1.78/0.60 fof(f1517,plain,(
% 1.78/0.60 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c3,multiply(identity,X0))|~spl0_2|~spl0_1|~spl0_5)),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f1515,f39])).
% 1.78/0.60 fof(f1518,plain,(
% 1.78/0.60 ![X0]: (multiply(sk_c8,X0)=multiply(sk_c3,X0)|~spl0_2|~spl0_1|~spl0_5)),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f37,f1517])).
% 1.78/0.60 fof(f1532,plain,(
% 1.78/0.60 ![X0]: (~multiply(X0,sk_c8)=identity|~inverse(X0)=sk_c8|~spl0_2|~spl0_1|~spl0_12)),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1498,f143])).
% 1.78/0.60 fof(f1533,plain,(
% 1.78/0.60 ~multiply(sk_c2,sk_c8)=identity|~spl0_1|~spl0_12|~spl0_2),
% 1.78/0.60 inference(resolution,[status(thm)],[f1532,f82])).
% 1.78/0.60 fof(f1534,plain,(
% 1.78/0.60 ~identity=identity|~spl0_1|~spl0_12|~spl0_2),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1510,f1533])).
% 1.78/0.60 fof(f1535,plain,(
% 1.78/0.60 $false|~spl0_1|~spl0_12|~spl0_2),
% 1.78/0.60 inference(trivial_equality_resolution,[status(esa)],[f1534])).
% 1.78/0.60 fof(f1536,plain,(
% 1.78/0.60 ~spl0_1|~spl0_12|~spl0_2),
% 1.78/0.60 inference(contradiction_clause,[status(thm)],[f1535])).
% 1.78/0.60 fof(f1541,plain,(
% 1.78/0.60 sk_c8=multiply(inverse(sk_c1),sk_c7)|~spl0_9),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f110,f1003])).
% 1.78/0.60 fof(f1542,plain,(
% 1.78/0.60 sk_c8=multiply(sk_c8,sk_c7)|~spl0_10|~spl0_9),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f121,f1541])).
% 1.78/0.60 fof(f1543,plain,(
% 1.78/0.60 sk_c8=sk_c6|~spl0_0|~spl0_10|~spl0_9),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f75,f1542])).
% 1.78/0.60 fof(f1556,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c8)=sk_c7|~spl0_0|~spl0_10|~spl0_9|~spl0_11),
% 1.78/0.60 inference(backward_demodulation,[status(thm)],[f1543,f132])).
% 1.78/0.60 fof(f1557,plain,(
% 1.78/0.60 ~multiply(sk_c8,sk_c8)=sk_c7|~spl0_0|~spl0_10|~spl0_9|spl0_3),
% 1.78/0.60 inference(backward_demodulation,[status(thm)],[f1543,f87])).
% 1.78/0.60 fof(f1558,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c7)=sk_c8|~spl0_10|~spl0_9|~spl0_0),
% 1.78/0.60 inference(backward_demodulation,[status(thm)],[f1543,f75])).
% 1.78/0.60 fof(f1563,plain,(
% 1.78/0.60 ~sk_c7=sk_c7|~spl0_11|~spl0_0|~spl0_10|~spl0_9|spl0_3),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1556,f1557])).
% 1.78/0.60 fof(f1564,plain,(
% 1.78/0.60 $false|~spl0_11|~spl0_0|~spl0_10|~spl0_9|spl0_3),
% 1.78/0.60 inference(trivial_equality_resolution,[status(esa)],[f1563])).
% 1.78/0.60 fof(f1565,plain,(
% 1.78/0.60 ~spl0_11|~spl0_0|~spl0_10|~spl0_9|spl0_3),
% 1.78/0.60 inference(contradiction_clause,[status(thm)],[f1564])).
% 1.78/0.60 fof(f1588,plain,(
% 1.78/0.60 ~multiply(sk_c8,identity)=sk_c8|~spl0_4|~spl0_5|~spl0_11|~spl0_2|~spl0_1|~spl0_3|spl0_0),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1468,f1355])).
% 1.78/0.60 fof(f1595,plain,(
% 1.78/0.60 sk_c7=multiply(inverse(sk_c8),sk_c8)|~spl0_10|~spl0_9|~spl0_0),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f1558,f1003])).
% 1.78/0.60 fof(f1596,plain,(
% 1.78/0.60 sk_c7=identity|~spl0_10|~spl0_9|~spl0_0),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f38,f1595])).
% 1.78/0.60 fof(f1604,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c8)=identity|~spl0_0|~spl0_10|~spl0_9|~spl0_11),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1596,f1556])).
% 1.78/0.60 fof(f1606,plain,(
% 1.78/0.60 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_0|~spl0_10|~spl0_9|~spl0_11)),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f1604,f39])).
% 1.78/0.60 fof(f1607,plain,(
% 1.78/0.60 ![X0]: (X0=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_0|~spl0_10|~spl0_9|~spl0_11)),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f37,f1606])).
% 1.78/0.60 fof(f1614,plain,(
% 1.78/0.60 sk_c8=multiply(sk_c8,identity)|~spl0_0|~spl0_10|~spl0_9),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1596,f1542])).
% 1.78/0.60 fof(f1645,plain,(
% 1.78/0.60 sk_c1=multiply(sk_c8,identity)|~spl0_0|~spl0_9|~spl0_11|~spl0_10),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f1001,f1607])).
% 1.78/0.60 fof(f1646,plain,(
% 1.78/0.60 sk_c1=sk_c8|~spl0_0|~spl0_9|~spl0_11|~spl0_10),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1614,f1645])).
% 1.78/0.60 fof(f1654,plain,(
% 1.78/0.60 inverse(sk_c8)=sk_c8|~spl0_0|~spl0_9|~spl0_11|~spl0_10),
% 1.78/0.60 inference(backward_demodulation,[status(thm)],[f1646,f121])).
% 1.78/0.60 fof(f1693,plain,(
% 1.78/0.60 ![X0]: (~multiply(X0,sk_c8)=identity|~inverse(X0)=sk_c8|~spl0_10|~spl0_9|~spl0_0|~spl0_12)),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1596,f143])).
% 1.78/0.60 fof(f1694,plain,(
% 1.78/0.60 ~multiply(sk_c8,sk_c8)=identity|~spl0_11|~spl0_10|~spl0_9|~spl0_0|~spl0_12),
% 1.78/0.60 inference(resolution,[status(thm)],[f1654,f1693])).
% 1.78/0.60 fof(f1695,plain,(
% 1.78/0.60 ~identity=identity|~spl0_11|~spl0_10|~spl0_9|~spl0_0|~spl0_12),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1604,f1694])).
% 1.78/0.60 fof(f1696,plain,(
% 1.78/0.60 $false|~spl0_11|~spl0_10|~spl0_9|~spl0_0|~spl0_12),
% 1.78/0.60 inference(trivial_equality_resolution,[status(esa)],[f1695])).
% 1.78/0.60 fof(f1697,plain,(
% 1.78/0.60 ~spl0_11|~spl0_10|~spl0_9|~spl0_0|~spl0_12),
% 1.78/0.60 inference(contradiction_clause,[status(thm)],[f1696])).
% 1.78/0.60 fof(f1732,plain,(
% 1.78/0.60 ![X0]: (~inverse(X0)=sk_c8|~multiply(X0,identity)=sk_c8|~spl0_10|~spl0_9|~spl0_0|~spl0_13)),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1596,f146])).
% 1.78/0.60 fof(f1826,plain,(
% 1.78/0.60 ~multiply(sk_c8,identity)=sk_c8|~spl0_13|~spl0_0|~spl0_9|~spl0_11|~spl0_10),
% 1.78/0.60 inference(resolution,[status(thm)],[f1732,f1654])).
% 1.78/0.60 fof(f1827,plain,(
% 1.78/0.60 ~sk_c8=sk_c8|~spl0_13|~spl0_0|~spl0_9|~spl0_11|~spl0_10),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1614,f1826])).
% 1.78/0.60 fof(f1828,plain,(
% 1.78/0.60 $false|~spl0_13|~spl0_0|~spl0_9|~spl0_11|~spl0_10),
% 1.78/0.60 inference(trivial_equality_resolution,[status(esa)],[f1827])).
% 1.78/0.60 fof(f1829,plain,(
% 1.78/0.60 ~spl0_13|~spl0_0|~spl0_9|~spl0_11|~spl0_10),
% 1.78/0.60 inference(contradiction_clause,[status(thm)],[f1828])).
% 1.78/0.60 fof(f1843,plain,(
% 1.78/0.60 multiply(sk_c8,sk_c6)=identity|~spl0_2|~spl0_1|~spl0_3),
% 1.78/0.60 inference(backward_demodulation,[status(thm)],[f1498,f86])).
% 1.78/0.60 fof(f1855,plain,(
% 1.78/0.60 sk_c8=multiply(sk_c8,sk_c7)|~spl0_2|~spl0_1|~spl0_3|~spl0_8|~spl0_11|~spl0_7|~spl0_6),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1374,f1130])).
% 1.78/0.60 fof(f1856,plain,(
% 1.78/0.60 sk_c8=multiply(sk_c8,identity)|~spl0_2|~spl0_1|~spl0_3|~spl0_8|~spl0_11|~spl0_7|~spl0_6),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1498,f1855])).
% 1.78/0.60 fof(f1857,plain,(
% 1.78/0.60 $false|~spl0_4|~spl0_5|spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_8|~spl0_11|~spl0_7|~spl0_6),
% 1.78/0.60 inference(forward_subsumption_resolution,[status(thm)],[f1856,f1588])).
% 1.78/0.60 fof(f1858,plain,(
% 1.78/0.60 ~spl0_4|~spl0_5|spl0_0|~spl0_2|~spl0_1|~spl0_3|~spl0_8|~spl0_11|~spl0_7|~spl0_6),
% 1.78/0.60 inference(contradiction_clause,[status(thm)],[f1857])).
% 1.78/0.60 fof(f1861,plain,(
% 1.78/0.60 ~spl0_1|~spl0_2|spl0_15),
% 1.78/0.60 inference(split_clause,[status(thm)],[f1493,f77,f81,f153])).
% 1.78/0.60 fof(f1875,plain,(
% 1.78/0.60 ~multiply(sk_c6,sk_c8)=identity|~spl0_2|~spl0_1|spl0_11),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1498,f133])).
% 1.78/0.60 fof(f1887,plain,(
% 1.78/0.60 identity=multiply(sk_c8,sk_c8)|~spl0_2|~spl0_1|~spl0_4|~spl0_5),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1498,f1092])).
% 1.78/0.60 fof(f1898,plain,(
% 1.78/0.60 ![X0]: (multiply(identity,X0)=multiply(sk_c8,multiply(sk_c6,X0))|~spl0_2|~spl0_1|~spl0_3)),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f1843,f39])).
% 1.78/0.60 fof(f1899,plain,(
% 1.78/0.60 ![X0]: (X0=multiply(sk_c8,multiply(sk_c6,X0))|~spl0_2|~spl0_1|~spl0_3)),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f37,f1898])).
% 1.78/0.60 fof(f1937,plain,(
% 1.78/0.60 ![X0]: (X0=multiply(sk_c8,multiply(sk_c8,X0))|~spl0_2|~spl0_1|~spl0_5|~spl0_4)),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1518,f1011])).
% 1.78/0.60 fof(f1959,plain,(
% 1.78/0.60 ![X0]: (multiply(sk_c6,X0)=multiply(sk_c8,X0)|~spl0_5|~spl0_4|~spl0_2|~spl0_1|~spl0_3)),
% 1.78/0.60 inference(paramodulation,[status(thm)],[f1899,f1937])).
% 1.78/0.60 fof(f1997,plain,(
% 1.78/0.60 ~multiply(sk_c8,sk_c8)=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_11),
% 1.78/0.60 inference(backward_demodulation,[status(thm)],[f1959,f1875])).
% 1.78/0.60 fof(f1998,plain,(
% 1.78/0.60 ~identity=identity|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_11),
% 1.78/0.60 inference(forward_demodulation,[status(thm)],[f1887,f1997])).
% 1.78/0.60 fof(f1999,plain,(
% 1.78/0.60 $false|~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_11),
% 1.78/0.60 inference(trivial_equality_resolution,[status(esa)],[f1998])).
% 1.78/0.60 fof(f2000,plain,(
% 1.78/0.60 ~spl0_5|~spl0_4|~spl0_3|~spl0_2|~spl0_1|spl0_11),
% 1.78/0.60 inference(contradiction_clause,[status(thm)],[f1999])).
% 1.78/0.60 fof(f2001,plain,(
% 1.78/0.60 $false),
% 1.78/0.60 inference(sat_refutation,[status(thm)],[f80,f84,f88,f92,f96,f100,f104,f108,f112,f113,f114,f115,f116,f123,f124,f125,f126,f127,f134,f135,f136,f137,f138,f151,f157,f172,f176,f182,f184,f1536,f1565,f1697,f1829,f1858,f1861,f2000])).
% 1.78/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 1.78/0.60 % Elapsed time: 0.252872 seconds
% 1.78/0.60 % CPU time: 1.892419 seconds
% 1.78/0.60 % Total memory used: 101.108 MB
% 1.78/0.60 % Net memory used: 99.401 MB
%------------------------------------------------------------------------------