TSTP Solution File: GRP226-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP226-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:19:48 EDT 2024
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRP226-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:54:02 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f1,axiom,(
% 0.14/0.41 (![X]: (multiply(identity,X) = X ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f2,axiom,(
% 0.14/0.41 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f3,axiom,(
% 0.14/0.41 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f4,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f5,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f6,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f7,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f8,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f9,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f10,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f11,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f12,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c7,sk_c3) = sk_c6| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f14,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c7,sk_c3) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f15,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c7,sk_c3) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f16,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c7) = sk_c3| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f18,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c7) = sk_c3| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f19,negated_conjecture,(
% 0.14/0.41 ( multiply(sk_c2,sk_c7) = sk_c3| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f20,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f22,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f23,negated_conjecture,(
% 0.14/0.41 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f24,negated_conjecture,(
% 0.14/0.41 (![X3,X4,X5,X1,X2]: (( inverse(X3) != sk_c7| multiply(X3,sk_c6) != sk_c7| multiply(sk_c7,X4) != sk_c6| multiply(X5,sk_c7) != X4| inverse(X5) != sk_c7| inverse(X1) != sk_c7| multiply(X1,sk_c6) != sk_c7| multiply(X2,sk_c6) != sk_c7| inverse(X2) != sk_c6 ) ))),
% 0.14/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f25,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=X0)),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f1])).
% 0.14/0.41 fof(f26,plain,(
% 0.14/0.41 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f2])).
% 0.14/0.41 fof(f27,plain,(
% 0.14/0.41 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f3])).
% 0.14/0.41 fof(f28,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.41 fof(f29,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.41 fof(f30,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f6])).
% 0.14/0.41 fof(f31,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f7])).
% 0.14/0.41 fof(f32,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f8])).
% 0.14/0.41 fof(f33,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f9])).
% 0.14/0.41 fof(f34,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.41 fof(f35,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f11])).
% 0.14/0.41 fof(f36,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c3)=sk_c6|inverse(sk_c4)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f12])).
% 0.14/0.41 fof(f38,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c3)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f14])).
% 0.14/0.41 fof(f39,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c3)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f15])).
% 0.14/0.41 fof(f40,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=sk_c3|inverse(sk_c4)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f16])).
% 0.14/0.41 fof(f42,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=sk_c3|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f18])).
% 0.14/0.41 fof(f43,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=sk_c3|inverse(sk_c5)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.41 fof(f44,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f20])).
% 0.14/0.41 fof(f46,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f22])).
% 0.14/0.41 fof(f47,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.41 fof(f48,plain,(
% 0.14/0.41 ![X2]: (((![X1]: (((![X5]: ((![X4]: (((![X3]: (~inverse(X3)=sk_c7|~multiply(X3,sk_c6)=sk_c7))|~multiply(sk_c7,X4)=sk_c6)|~multiply(X5,sk_c7)=X4))|~inverse(X5)=sk_c7))|~inverse(X1)=sk_c7)|~multiply(X1,sk_c6)=sk_c7))|~multiply(X2,sk_c6)=sk_c7)|~inverse(X2)=sk_c6)),
% 0.14/0.41 inference(miniscoping,[status(esa)],[f24])).
% 0.14/0.41 fof(f49,plain,(
% 0.14/0.41 ![X0,X1,X2,X3,X4]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~multiply(sk_c7,X1)=sk_c6|~multiply(X2,sk_c7)=X1|~inverse(X2)=sk_c7|~inverse(X3)=sk_c7|~multiply(X3,sk_c6)=sk_c7|~multiply(X4,sk_c6)=sk_c7|~inverse(X4)=sk_c6)),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f48])).
% 0.14/0.41 fof(f50,plain,(
% 0.14/0.41 spl0_0 <=> inverse(sk_c1)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f51,plain,(
% 0.14/0.41 inverse(sk_c1)=sk_c7|~spl0_0),
% 0.14/0.41 inference(component_clause,[status(thm)],[f50])).
% 0.14/0.41 fof(f53,plain,(
% 0.14/0.41 spl0_1 <=> inverse(sk_c4)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f54,plain,(
% 0.14/0.41 inverse(sk_c4)=sk_c7|~spl0_1),
% 0.14/0.41 inference(component_clause,[status(thm)],[f53])).
% 0.14/0.41 fof(f56,plain,(
% 0.14/0.41 spl0_0|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f28,f50,f53])).
% 0.14/0.41 fof(f57,plain,(
% 0.14/0.41 spl0_2 <=> multiply(sk_c4,sk_c6)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f58,plain,(
% 0.14/0.41 multiply(sk_c4,sk_c6)=sk_c7|~spl0_2),
% 0.14/0.41 inference(component_clause,[status(thm)],[f57])).
% 0.14/0.41 fof(f60,plain,(
% 0.14/0.41 spl0_0|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f29,f50,f57])).
% 0.14/0.41 fof(f61,plain,(
% 0.14/0.41 spl0_3 <=> multiply(sk_c5,sk_c6)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f62,plain,(
% 0.14/0.41 multiply(sk_c5,sk_c6)=sk_c7|~spl0_3),
% 0.14/0.41 inference(component_clause,[status(thm)],[f61])).
% 0.14/0.41 fof(f64,plain,(
% 0.14/0.41 spl0_0|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f30,f50,f61])).
% 0.14/0.41 fof(f65,plain,(
% 0.14/0.41 spl0_4 <=> inverse(sk_c5)=sk_c6),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f66,plain,(
% 0.14/0.41 inverse(sk_c5)=sk_c6|~spl0_4),
% 0.14/0.41 inference(component_clause,[status(thm)],[f65])).
% 0.14/0.41 fof(f68,plain,(
% 0.14/0.41 spl0_0|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f31,f50,f65])).
% 0.14/0.41 fof(f69,plain,(
% 0.14/0.41 spl0_5 <=> multiply(sk_c1,sk_c6)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f70,plain,(
% 0.14/0.41 multiply(sk_c1,sk_c6)=sk_c7|~spl0_5),
% 0.14/0.41 inference(component_clause,[status(thm)],[f69])).
% 0.14/0.41 fof(f72,plain,(
% 0.14/0.41 spl0_5|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f32,f69,f53])).
% 0.14/0.41 fof(f73,plain,(
% 0.14/0.41 spl0_5|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f33,f69,f57])).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 spl0_5|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f34,f69,f61])).
% 0.14/0.41 fof(f75,plain,(
% 0.14/0.41 spl0_5|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f35,f69,f65])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 spl0_6 <=> multiply(sk_c7,sk_c3)=sk_c6),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f77,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c3)=sk_c6|~spl0_6),
% 0.14/0.41 inference(component_clause,[status(thm)],[f76])).
% 0.14/0.41 fof(f79,plain,(
% 0.14/0.41 spl0_6|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f36,f76,f53])).
% 0.14/0.41 fof(f81,plain,(
% 0.14/0.41 spl0_6|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f38,f76,f61])).
% 0.14/0.41 fof(f82,plain,(
% 0.14/0.41 spl0_6|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f39,f76,f65])).
% 0.14/0.41 fof(f83,plain,(
% 0.14/0.41 spl0_7 <=> multiply(sk_c2,sk_c7)=sk_c3),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f84,plain,(
% 0.14/0.41 multiply(sk_c2,sk_c7)=sk_c3|~spl0_7),
% 0.14/0.41 inference(component_clause,[status(thm)],[f83])).
% 0.14/0.41 fof(f86,plain,(
% 0.14/0.41 spl0_7|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f40,f83,f53])).
% 0.14/0.41 fof(f88,plain,(
% 0.14/0.41 spl0_7|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f42,f83,f61])).
% 0.14/0.41 fof(f89,plain,(
% 0.14/0.41 spl0_7|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f43,f83,f65])).
% 0.14/0.41 fof(f90,plain,(
% 0.14/0.41 spl0_8 <=> inverse(sk_c2)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f91,plain,(
% 0.14/0.41 inverse(sk_c2)=sk_c7|~spl0_8),
% 0.14/0.41 inference(component_clause,[status(thm)],[f90])).
% 0.14/0.41 fof(f93,plain,(
% 0.14/0.41 spl0_8|spl0_1),
% 0.14/0.41 inference(split_clause,[status(thm)],[f44,f90,f53])).
% 0.14/0.41 fof(f95,plain,(
% 0.14/0.41 spl0_8|spl0_3),
% 0.14/0.41 inference(split_clause,[status(thm)],[f46,f90,f61])).
% 0.14/0.41 fof(f96,plain,(
% 0.14/0.41 spl0_8|spl0_4),
% 0.14/0.41 inference(split_clause,[status(thm)],[f47,f90,f65])).
% 0.14/0.41 fof(f97,plain,(
% 0.14/0.41 spl0_9 <=> ~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f98,plain,(
% 0.14/0.41 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~spl0_9)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.41 fof(f100,plain,(
% 0.14/0.41 spl0_10 <=> ~multiply(sk_c7,X1)=sk_c6|~multiply(X2,sk_c7)=X1|~inverse(X2)=sk_c7),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f101,plain,(
% 0.14/0.41 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~spl0_10)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f100])).
% 0.14/0.41 fof(f103,plain,(
% 0.14/0.41 spl0_11 <=> ~multiply(X4,sk_c6)=sk_c7|~inverse(X4)=sk_c6),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f104,plain,(
% 0.14/0.41 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~spl0_11)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f103])).
% 0.14/0.41 fof(f106,plain,(
% 0.14/0.41 spl0_9|spl0_10|spl0_11),
% 0.14/0.41 inference(split_clause,[status(thm)],[f49,f97,f100,f103])).
% 0.14/0.41 fof(f107,plain,(
% 0.14/0.41 ~multiply(sk_c5,sk_c6)=sk_c7|~spl0_11|~spl0_4),
% 0.14/0.41 inference(resolution,[status(thm)],[f104,f66])).
% 0.14/0.41 fof(f108,plain,(
% 0.14/0.41 ~sk_c7=sk_c7|~spl0_3|~spl0_11|~spl0_4),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f62,f107])).
% 0.14/0.41 fof(f109,plain,(
% 0.14/0.41 $false|~spl0_3|~spl0_11|~spl0_4),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f108])).
% 0.14/0.41 fof(f110,plain,(
% 0.14/0.41 ~spl0_3|~spl0_11|~spl0_4),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f109])).
% 0.14/0.41 fof(f111,plain,(
% 0.14/0.41 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~spl0_10)),
% 0.14/0.41 inference(destructive_equality_resolution,[status(esa)],[f101])).
% 0.14/0.41 fof(f112,plain,(
% 0.14/0.41 ~multiply(sk_c1,sk_c6)=sk_c7|~spl0_9|~spl0_0),
% 0.14/0.41 inference(resolution,[status(thm)],[f98,f51])).
% 0.14/0.41 fof(f113,plain,(
% 0.14/0.41 ~sk_c7=sk_c7|~spl0_5|~spl0_9|~spl0_0),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f70,f112])).
% 0.14/0.41 fof(f114,plain,(
% 0.14/0.41 $false|~spl0_5|~spl0_9|~spl0_0),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f113])).
% 0.14/0.41 fof(f115,plain,(
% 0.14/0.41 ~spl0_5|~spl0_9|~spl0_0),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f114])).
% 0.14/0.41 fof(f116,plain,(
% 0.14/0.41 ~multiply(sk_c7,sk_c3)=sk_c6|~inverse(sk_c2)=sk_c7|~spl0_10|~spl0_7),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f84,f111])).
% 0.14/0.41 fof(f117,plain,(
% 0.14/0.41 ~spl0_6|~spl0_8|~spl0_10|~spl0_7),
% 0.14/0.41 inference(split_clause,[status(thm)],[f116,f76,f90,f100,f83])).
% 0.14/0.41 fof(f118,plain,(
% 0.14/0.41 spl0_12 <=> sk_c7=sk_c6),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f120,plain,(
% 0.14/0.41 ~sk_c7=sk_c6|spl0_12),
% 0.14/0.41 inference(component_clause,[status(thm)],[f118])).
% 0.14/0.41 fof(f121,plain,(
% 0.14/0.41 ~multiply(sk_c1,sk_c6)=sk_c7|~sk_c7=sk_c6|~spl0_11|~spl0_0),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f51,f104])).
% 0.14/0.41 fof(f122,plain,(
% 0.14/0.41 ~spl0_5|~spl0_12|~spl0_11|~spl0_0),
% 0.14/0.41 inference(split_clause,[status(thm)],[f121,f69,f118,f103,f50])).
% 0.14/0.41 fof(f132,plain,(
% 0.14/0.41 ~multiply(sk_c4,sk_c6)=sk_c7|~spl0_9|~spl0_1),
% 0.14/0.41 inference(resolution,[status(thm)],[f98,f54])).
% 0.14/0.41 fof(f133,plain,(
% 0.14/0.41 ~sk_c7=sk_c7|~spl0_2|~spl0_9|~spl0_1),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f58,f132])).
% 0.14/0.41 fof(f134,plain,(
% 0.14/0.41 $false|~spl0_2|~spl0_9|~spl0_1),
% 0.14/0.41 inference(trivial_equality_resolution,[status(esa)],[f133])).
% 0.14/0.41 fof(f135,plain,(
% 0.14/0.41 ~spl0_2|~spl0_9|~spl0_1),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f134])).
% 0.14/0.41 fof(f145,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c1,multiply(sk_c6,X0))|~spl0_5)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f70,f27])).
% 0.14/0.41 fof(f166,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c2)=identity|~spl0_8),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f91,f26])).
% 0.14/0.41 fof(f167,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c1)=identity|~spl0_0),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f51,f26])).
% 0.14/0.41 fof(f168,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c4)=identity|~spl0_1),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f54,f26])).
% 0.14/0.41 fof(f172,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_8)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f166,f27])).
% 0.14/0.41 fof(f173,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c7,multiply(sk_c2,X0))|~spl0_8)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f25,f172])).
% 0.14/0.41 fof(f175,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_0)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f167,f27])).
% 0.14/0.41 fof(f176,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c7,multiply(sk_c1,X0))|~spl0_0)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f25,f175])).
% 0.14/0.41 fof(f178,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c7,multiply(sk_c4,X0))|~spl0_1)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f168,f27])).
% 0.14/0.41 fof(f179,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c7,multiply(sk_c4,X0))|~spl0_1)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f25,f178])).
% 0.14/0.41 fof(f191,plain,(
% 0.14/0.41 sk_c7=multiply(sk_c7,sk_c3)|~spl0_8|~spl0_7),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f84,f173])).
% 0.14/0.41 fof(f192,plain,(
% 0.14/0.41 sk_c7=sk_c6|~spl0_6|~spl0_8|~spl0_7),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f77,f191])).
% 0.14/0.41 fof(f193,plain,(
% 0.14/0.41 $false|spl0_12|~spl0_6|~spl0_8|~spl0_7),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f192,f120])).
% 0.14/0.41 fof(f194,plain,(
% 0.14/0.41 spl0_12|~spl0_6|~spl0_8|~spl0_7),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f193])).
% 0.14/0.41 fof(f195,plain,(
% 0.14/0.41 ![X0]: (multiply(sk_c7,X0)=multiply(sk_c5,multiply(sk_c6,X0))|~spl0_3)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f62,f27])).
% 0.14/0.41 fof(f196,plain,(
% 0.14/0.41 multiply(sk_c6,sk_c5)=identity|~spl0_4),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f66,f26])).
% 0.14/0.41 fof(f199,plain,(
% 0.14/0.41 ![X0]: (multiply(identity,X0)=multiply(sk_c6,multiply(sk_c5,X0))|~spl0_4)),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f196,f27])).
% 0.14/0.41 fof(f200,plain,(
% 0.14/0.41 ![X0]: (X0=multiply(sk_c6,multiply(sk_c5,X0))|~spl0_4)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f25,f199])).
% 0.14/0.41 fof(f202,plain,(
% 0.14/0.41 sk_c6=multiply(sk_c7,sk_c7)|~spl0_0|~spl0_5),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f70,f176])).
% 0.14/0.41 fof(f206,plain,(
% 0.14/0.41 sk_c6=multiply(sk_c7,sk_c7)|~spl0_1|~spl0_2),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f58,f179])).
% 0.14/0.41 fof(f209,plain,(
% 0.14/0.41 sk_c6=multiply(sk_c6,sk_c7)|~spl0_4|~spl0_3),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f62,f200])).
% 0.14/0.41 fof(f213,plain,(
% 0.14/0.41 multiply(sk_c7,sk_c7)=multiply(sk_c1,sk_c6)|~spl0_5|~spl0_4|~spl0_3),
% 0.14/0.41 inference(paramodulation,[status(thm)],[f209,f145])).
% 0.14/0.41 fof(f214,plain,(
% 0.14/0.41 sk_c6=multiply(sk_c1,sk_c6)|~spl0_0|~spl0_5|~spl0_4|~spl0_3),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f202,f213])).
% 0.14/0.41 fof(f215,plain,(
% 0.14/0.41 sk_c6=sk_c7|~spl0_0|~spl0_5|~spl0_4|~spl0_3),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f70,f214])).
% 0.14/0.41 fof(f216,plain,(
% 0.14/0.41 $false|spl0_12|~spl0_0|~spl0_5|~spl0_4|~spl0_3),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f215,f120])).
% 0.14/0.41 fof(f217,plain,(
% 0.14/0.41 spl0_12|~spl0_0|~spl0_5|~spl0_4|~spl0_3),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f216])).
% 0.21/0.41 fof(f220,plain,(
% 0.21/0.41 multiply(sk_c7,sk_c7)=multiply(sk_c5,sk_c6)|~spl0_4|~spl0_3),
% 0.21/0.41 inference(paramodulation,[status(thm)],[f209,f195])).
% 0.21/0.41 fof(f221,plain,(
% 0.21/0.41 sk_c6=multiply(sk_c5,sk_c6)|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.21/0.41 inference(forward_demodulation,[status(thm)],[f206,f220])).
% 0.21/0.41 fof(f222,plain,(
% 0.21/0.41 sk_c6=sk_c7|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.21/0.41 inference(forward_demodulation,[status(thm)],[f62,f221])).
% 0.21/0.41 fof(f223,plain,(
% 0.21/0.41 $false|spl0_12|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f222,f120])).
% 0.21/0.41 fof(f224,plain,(
% 0.21/0.41 spl0_12|~spl0_1|~spl0_2|~spl0_4|~spl0_3),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f223])).
% 0.21/0.41 fof(f259,plain,(
% 0.21/0.41 ~sk_c7=sk_c6|~inverse(sk_c4)=sk_c7|~spl0_10|~spl0_1),
% 0.21/0.41 inference(paramodulation,[status(thm)],[f179,f111])).
% 0.21/0.41 fof(f260,plain,(
% 0.21/0.41 ~spl0_12|~spl0_1|~spl0_10),
% 0.21/0.41 inference(split_clause,[status(thm)],[f259,f118,f53,f100])).
% 0.21/0.41 fof(f261,plain,(
% 0.21/0.41 spl0_14 <=> multiply(sk_c7,identity)=sk_c6),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f264,plain,(
% 0.21/0.41 spl0_15 <=> inverse(inverse(sk_c7))=sk_c7),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f267,plain,(
% 0.21/0.41 ~multiply(sk_c7,identity)=sk_c6|~inverse(inverse(sk_c7))=sk_c7|~spl0_10),
% 0.21/0.41 inference(paramodulation,[status(thm)],[f26,f111])).
% 0.21/0.41 fof(f268,plain,(
% 0.21/0.41 ~spl0_14|~spl0_15|~spl0_10),
% 0.21/0.41 inference(split_clause,[status(thm)],[f267,f261,f264,f100])).
% 0.21/0.41 fof(f269,plain,(
% 0.21/0.41 spl0_16 <=> multiply(sk_c7,sk_c7)=sk_c6),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f272,plain,(
% 0.21/0.41 spl0_17 <=> inverse(identity)=sk_c7),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f275,plain,(
% 0.21/0.41 ~multiply(sk_c7,sk_c7)=sk_c6|~inverse(identity)=sk_c7|~spl0_10),
% 0.21/0.41 inference(paramodulation,[status(thm)],[f25,f111])).
% 0.21/0.41 fof(f276,plain,(
% 0.21/0.41 ~spl0_16|~spl0_17|~spl0_10),
% 0.21/0.41 inference(split_clause,[status(thm)],[f275,f269,f272,f100])).
% 0.21/0.41 fof(f278,plain,(
% 0.21/0.41 $false),
% 0.21/0.41 inference(sat_refutation,[status(thm)],[f56,f60,f64,f68,f72,f73,f74,f75,f79,f81,f82,f86,f88,f89,f93,f95,f96,f106,f110,f115,f117,f122,f135,f194,f217,f224,f260,f268,f276])).
% 0.21/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.41 % Elapsed time: 0.060697 seconds
% 0.21/0.41 % CPU time: 0.367056 seconds
% 0.21/0.41 % Total memory used: 65.510 MB
% 0.21/0.41 % Net memory used: 65.212 MB
%------------------------------------------------------------------------------