%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP226-1 : 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 : n026.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 12:36:17 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP226-1 : 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 : n026.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 20:09:36 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f1,axiom,(
% 0.15/0.40 (![X]: (multiply(identity,X) = X ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f2,axiom,(
% 0.15/0.40 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f3,axiom,(
% 0.15/0.40 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f4,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f5,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f6,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c1) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f7,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c1) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f8,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c4) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f9,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c4,sk_c6) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f10,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f11,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c1,sk_c6) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f14,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c7,sk_c3) = sk_c6| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f15,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c7,sk_c3) = sk_c6| inverse(sk_c5) = sk_c6 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f18,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c2,sk_c7) = sk_c3| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f19,negated_conjecture,(
% 0.15/0.40 ( multiply(sk_c2,sk_c7) = sk_c3| inverse(sk_c5) = sk_c6 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f22,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c2) = sk_c7| multiply(sk_c5,sk_c6) = sk_c7 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f23,negated_conjecture,(
% 0.15/0.40 ( inverse(sk_c2) = sk_c7| inverse(sk_c5) = sk_c6 ) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f24,negated_conjecture,(
% 0.15/0.40 (![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 ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f25,plain,(
% 0.15/0.40 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.40 fof(f26,plain,(
% 0.15/0.40 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.40 fof(f27,plain,(
% 0.15/0.40 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.40 fof(f28,plain,(
% 0.15/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.40 fof(f29,plain,(
% 0.15/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.40 fof(f30,plain,(
% 0.15/0.40 inverse(sk_c1)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.40 fof(f31,plain,(
% 0.15/0.40 inverse(sk_c1)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.40 fof(f32,plain,(
% 0.15/0.40 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c4)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/0.40 fof(f33,plain,(
% 0.15/0.40 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c4,sk_c6)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/0.40 fof(f34,plain,(
% 0.15/0.40 multiply(sk_c1,sk_c6)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.40 fof(f35,plain,(
% 0.15/0.40 multiply(sk_c1,sk_c6)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.40 fof(f38,plain,(
% 0.15/0.40 multiply(sk_c7,sk_c3)=sk_c6|multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.40 fof(f39,plain,(
% 0.15/0.40 multiply(sk_c7,sk_c3)=sk_c6|inverse(sk_c5)=sk_c6),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/0.40 fof(f42,plain,(
% 0.15/0.40 multiply(sk_c2,sk_c7)=sk_c3|multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f18])).
% 0.15/0.40 fof(f43,plain,(
% 0.15/0.40 multiply(sk_c2,sk_c7)=sk_c3|inverse(sk_c5)=sk_c6),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/0.40 fof(f46,plain,(
% 0.15/0.40 inverse(sk_c2)=sk_c7|multiply(sk_c5,sk_c6)=sk_c7),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.15/0.40 fof(f47,plain,(
% 0.15/0.40 inverse(sk_c2)=sk_c7|inverse(sk_c5)=sk_c6),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f23])).
% 0.15/0.40 fof(f48,plain,(
% 0.15/0.40 ![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)),
% 0.15/0.40 inference(miniscoping,[status(thm)],[f24])).
% 0.15/0.40 fof(f49,plain,(
% 0.15/0.40 ![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)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f48])).
% 0.15/0.40 fof(f50,definition,(
% 0.15/0.40 sQ0_spl <=> (inverse(sk_c1)=sk_c7)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f51,plain,(
% 0.15/0.40 inverse(sk_c1)=sk_c7|~sQ0_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f50])).
% 0.15/0.40 fof(f53,definition,(
% 0.15/0.40 sQ1_spl <=> (inverse(sk_c4)=sk_c7)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f54,plain,(
% 0.15/0.40 inverse(sk_c4)=sk_c7|~sQ1_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f53])).
% 0.15/0.40 fof(f56,plain,(
% 0.15/0.40 sQ0_spl|sQ1_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f28,f50,f53])).
% 0.15/0.40 fof(f57,definition,(
% 0.15/0.40 sQ2_spl <=> (multiply(sk_c4,sk_c6)=sk_c7)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f58,plain,(
% 0.15/0.40 multiply(sk_c4,sk_c6)=sk_c7|~sQ2_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f57])).
% 0.15/0.40 fof(f60,plain,(
% 0.15/0.40 sQ0_spl|sQ2_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f29,f50,f57])).
% 0.15/0.40 fof(f61,definition,(
% 0.15/0.40 sQ3_spl <=> (multiply(sk_c5,sk_c6)=sk_c7)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f62,plain,(
% 0.15/0.40 multiply(sk_c5,sk_c6)=sk_c7|~sQ3_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f61])).
% 0.15/0.40 fof(f64,plain,(
% 0.15/0.40 sQ0_spl|sQ3_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f30,f50,f61])).
% 0.15/0.40 fof(f65,definition,(
% 0.15/0.40 sQ4_spl <=> (inverse(sk_c5)=sk_c6)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f66,plain,(
% 0.15/0.40 inverse(sk_c5)=sk_c6|~sQ4_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f65])).
% 0.15/0.40 fof(f68,plain,(
% 0.15/0.40 sQ0_spl|sQ4_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f31,f50,f65])).
% 0.15/0.40 fof(f69,definition,(
% 0.15/0.40 sQ5_spl <=> (multiply(sk_c1,sk_c6)=sk_c7)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f70,plain,(
% 0.15/0.40 multiply(sk_c1,sk_c6)=sk_c7|~sQ5_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f69])).
% 0.15/0.40 fof(f72,plain,(
% 0.15/0.40 sQ5_spl|sQ1_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f32,f69,f53])).
% 0.15/0.40 fof(f73,plain,(
% 0.15/0.40 sQ5_spl|sQ2_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f33,f69,f57])).
% 0.15/0.40 fof(f74,plain,(
% 0.15/0.40 sQ5_spl|sQ3_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f34,f69,f61])).
% 0.15/0.40 fof(f75,plain,(
% 0.15/0.40 sQ5_spl|sQ4_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f35,f69,f65])).
% 0.15/0.40 fof(f76,definition,(
% 0.15/0.40 sQ6_spl <=> (multiply(sk_c7,sk_c3)=sk_c6)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f77,plain,(
% 0.15/0.40 multiply(sk_c7,sk_c3)=sk_c6|~sQ6_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f76])).
% 0.15/0.40 fof(f81,plain,(
% 0.15/0.40 sQ6_spl|sQ3_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f38,f76,f61])).
% 0.15/0.40 fof(f82,plain,(
% 0.15/0.40 sQ6_spl|sQ4_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f39,f76,f65])).
% 0.15/0.40 fof(f83,definition,(
% 0.15/0.40 sQ7_spl <=> (multiply(sk_c2,sk_c7)=sk_c3)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f84,plain,(
% 0.15/0.40 multiply(sk_c2,sk_c7)=sk_c3|~sQ7_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f83])).
% 0.15/0.40 fof(f88,plain,(
% 0.15/0.40 sQ7_spl|sQ3_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f42,f83,f61])).
% 0.15/0.40 fof(f89,plain,(
% 0.15/0.40 sQ7_spl|sQ4_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f43,f83,f65])).
% 0.15/0.40 fof(f90,definition,(
% 0.15/0.40 sQ8_spl <=> (inverse(sk_c2)=sk_c7)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f91,plain,(
% 0.15/0.40 inverse(sk_c2)=sk_c7|~sQ8_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f90])).
% 0.15/0.40 fof(f95,plain,(
% 0.15/0.40 sQ8_spl|sQ3_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f46,f90,f61])).
% 0.15/0.40 fof(f96,plain,(
% 0.15/0.40 sQ8_spl|sQ4_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f47,f90,f65])).
% 0.15/0.40 fof(f97,definition,(
% 0.15/0.40 ![X0]: (sQ9_spl <=> (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f98,plain,(
% 0.15/0.40 ![X0]: (~inverse(X0)=sk_c7|~multiply(X0,sk_c6)=sk_c7|~sQ9_spl)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.15/0.40 fof(f100,definition,(
% 0.15/0.40 ![X1,X2]: (sQ10_spl <=> (~multiply(sk_c7,X1)=sk_c6|~multiply(X2,sk_c7)=X1|~inverse(X2)=sk_c7))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f101,plain,(
% 0.15/0.40 ![X0,X1]: (~multiply(sk_c7,X0)=sk_c6|~multiply(X1,sk_c7)=X0|~inverse(X1)=sk_c7|~sQ10_spl)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f100])).
% 0.15/0.40 fof(f103,definition,(
% 0.15/0.40 ![X4]: (sQ11_spl <=> (~multiply(X4,sk_c6)=sk_c7|~inverse(X4)=sk_c6))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f104,plain,(
% 0.15/0.40 ![X0]: (~multiply(X0,sk_c6)=sk_c7|~inverse(X0)=sk_c6|~sQ11_spl)),
% 0.15/0.40 inference(component_clause,[status(thm)],[f103])).
% 0.15/0.40 fof(f106,plain,(
% 0.15/0.40 sQ9_spl|sQ10_spl|sQ11_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f49,f97,f100,f103])).
% 0.15/0.40 fof(f109,plain,(
% 0.15/0.40 ~inverse(sk_c5)=sk_c6|~sQ11_spl|~sQ3_spl),
% 0.15/0.40 inference(resolution,[status(thm)],[f104,f62])).
% 0.15/0.40 fof(f110,plain,(
% 0.15/0.40 ~sk_c7=sk_c7|~inverse(sk_c1)=sk_c6|~sQ11_spl|~sQ5_spl),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f70,f104])).
% 0.15/0.40 fof(f115,plain,(
% 0.15/0.40 ~sk_c6=sk_c6|~sQ4_spl|~sQ11_spl|~sQ3_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f66,f109])).
% 0.15/0.40 fof(f116,plain,(
% 0.15/0.40 $false|~sQ4_spl|~sQ11_spl|~sQ3_spl),
% 0.15/0.40 inference(trivial_equality_resolution,[status(thm)],[f115])).
% 0.15/0.40 fof(f117,plain,(
% 0.15/0.40 ~sQ4_spl|~sQ11_spl|~sQ3_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f116])).
% 0.15/0.40 fof(f118,plain,(
% 0.15/0.40 ![X0]: (~multiply(sk_c7,multiply(X0,sk_c7))=sk_c6|~inverse(X0)=sk_c7|~sQ10_spl)),
% 0.15/0.40 inference(destructive_equality_resolution,[status(thm)],[f101])).
% 0.15/0.40 fof(f119,plain,(
% 0.15/0.40 ~inverse(sk_c1)=sk_c7|~sQ9_spl|~sQ5_spl),
% 0.15/0.40 inference(resolution,[status(thm)],[f98,f70])).
% 0.15/0.40 fof(f121,plain,(
% 0.15/0.40 ~inverse(sk_c5)=sk_c7|~sQ9_spl|~sQ3_spl),
% 0.15/0.40 inference(resolution,[status(thm)],[f98,f62])).
% 0.15/0.40 fof(f125,plain,(
% 0.15/0.40 ~sk_c7=sk_c7|~sQ0_spl|~sQ9_spl|~sQ5_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f51,f119])).
% 0.15/0.40 fof(f126,plain,(
% 0.15/0.40 $false|~sQ0_spl|~sQ9_spl|~sQ5_spl),
% 0.15/0.40 inference(trivial_equality_resolution,[status(thm)],[f125])).
% 0.15/0.40 fof(f127,plain,(
% 0.15/0.40 ~sQ0_spl|~sQ9_spl|~sQ5_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f126])).
% 0.15/0.40 fof(f149,plain,(
% 0.15/0.40 ~multiply(sk_c7,sk_c3)=sk_c6|~inverse(sk_c2)=sk_c7|~sQ10_spl|~sQ7_spl),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f84,f118])).
% 0.15/0.40 fof(f157,plain,(
% 0.15/0.40 ~sQ6_spl|~sQ8_spl|~sQ10_spl|~sQ7_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f149,f76,f90,f100,f83])).
% 0.15/0.40 fof(f158,definition,(
% 0.15/0.40 sQ14_spl <=> (sk_c7=sk_c7)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f160,plain,(
% 0.15/0.40 ~sk_c7=sk_c7|sQ14_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f158])).
% 0.15/0.40 fof(f161,definition,(
% 0.15/0.40 sQ15_spl <=> (inverse(sk_c1)=sk_c6)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f163,plain,(
% 0.15/0.40 ~inverse(sk_c1)=sk_c6|sQ15_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f161])).
% 0.15/0.40 fof(f164,plain,(
% 0.15/0.40 ~sQ14_spl|~sQ15_spl|~sQ11_spl|~sQ5_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f110,f158,f161,f103,f69])).
% 0.15/0.40 fof(f170,plain,(
% 0.15/0.40 $false|sQ14_spl),
% 0.15/0.40 inference(trivial_equality_resolution,[status(thm)],[f160])).
% 0.15/0.40 fof(f171,plain,(
% 0.15/0.40 sQ14_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f170])).
% 0.15/0.40 fof(f173,plain,(
% 0.15/0.40 ~sk_c7=sk_c6|~sQ0_spl|sQ15_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f51,f163])).
% 0.15/0.40 fof(f178,plain,(
% 0.15/0.40 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f26,f27])).
% 0.15/0.40 fof(f179,plain,(
% 0.15/0.40 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f25,f178])).
% 0.15/0.40 fof(f196,plain,(
% 0.15/0.40 ![X0]: (X0=multiply(inverse(identity),X0))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f25,f179])).
% 0.15/0.40 fof(f199,plain,(
% 0.15/0.40 sk_c7=multiply(inverse(sk_c2),sk_c3)|~sQ7_spl),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f84,f179])).
% 0.15/0.40 fof(f200,plain,(
% 0.15/0.40 sk_c6=multiply(inverse(sk_c4),sk_c7)|~sQ2_spl),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f58,f179])).
% 0.15/0.40 fof(f201,plain,(
% 0.15/0.40 sk_c6=multiply(inverse(sk_c5),sk_c7)|~sQ3_spl),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f62,f179])).
% 0.15/0.40 fof(f203,plain,(
% 0.15/0.40 sk_c6=multiply(sk_c7,sk_c7)|~sQ1_spl|~sQ2_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f54,f200])).
% 0.15/0.40 fof(f204,plain,(
% 0.15/0.40 sk_c6=multiply(sk_c6,sk_c7)|~sQ4_spl|~sQ3_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f66,f201])).
% 0.15/0.40 fof(f212,plain,(
% 0.15/0.40 ![X0]: (X0=multiply(inverse(inverse(identity)),X0))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f196,f179])).
% 0.15/0.40 fof(f217,plain,(
% 0.15/0.40 ~multiply(sk_c7,sk_c7)=sk_c6|~inverse(inverse(identity))=sk_c7|~sQ10_spl),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f196,f118])).
% 0.15/0.40 fof(f228,definition,(
% 0.15/0.40 sQ19_spl <=> (multiply(sk_c7,sk_c7)=sk_c6)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f230,plain,(
% 0.15/0.40 ~multiply(sk_c7,sk_c7)=sk_c6|sQ19_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f228])).
% 0.15/0.40 fof(f231,definition,(
% 0.15/0.40 sQ20_spl <=> (inverse(inverse(identity))=sk_c7)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f233,plain,(
% 0.15/0.40 ~inverse(inverse(identity))=sk_c7|sQ20_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f231])).
% 0.15/0.40 fof(f234,plain,(
% 0.15/0.40 ~sQ19_spl|~sQ20_spl|~sQ10_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f217,f228,f231,f100])).
% 0.15/0.40 fof(f246,plain,(
% 0.15/0.40 ~sk_c6=sk_c6|~sQ1_spl|~sQ2_spl|sQ19_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f203,f230])).
% 0.15/0.40 fof(f247,plain,(
% 0.15/0.40 $false|~sQ1_spl|~sQ2_spl|sQ19_spl),
% 0.15/0.40 inference(trivial_equality_resolution,[status(thm)],[f246])).
% 0.15/0.40 fof(f248,plain,(
% 0.15/0.40 ~sQ1_spl|~sQ2_spl|sQ19_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f247])).
% 0.15/0.40 fof(f264,plain,(
% 0.15/0.40 sk_c7=multiply(inverse(sk_c6),sk_c6)|~sQ4_spl|~sQ3_spl),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f204,f179])).
% 0.15/0.40 fof(f272,plain,(
% 0.15/0.40 sk_c7=identity|~sQ4_spl|~sQ3_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f26,f264])).
% 0.15/0.40 fof(f279,plain,(
% 0.15/0.40 ![X0]: (multiply(sk_c7,X0)=X0|~sQ4_spl|~sQ3_spl)),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f272,f25])).
% 0.15/0.40 fof(f282,plain,(
% 0.15/0.40 sk_c6=sk_c7|~sQ4_spl|~sQ3_spl|~sQ1_spl|~sQ2_spl),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f279,f203])).
% 0.15/0.40 fof(f319,plain,(
% 0.15/0.40 ~sk_c6=sk_c7|~sQ4_spl|~sQ9_spl|~sQ3_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f66,f121])).
% 0.15/0.40 fof(f320,plain,(
% 0.15/0.40 ~sk_c6=sk_c6|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ9_spl|~sQ3_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f282,f319])).
% 0.15/0.40 fof(f321,plain,(
% 0.15/0.40 $false|~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ9_spl|~sQ3_spl),
% 0.15/0.40 inference(trivial_equality_resolution,[status(thm)],[f320])).
% 0.15/0.40 fof(f322,plain,(
% 0.15/0.40 ~sQ1_spl|~sQ2_spl|~sQ4_spl|~sQ9_spl|~sQ3_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f321])).
% 0.15/0.40 fof(f323,plain,(
% 0.15/0.40 ![X0,X1]: (~multiply(X0,multiply(X1,sk_c6))=sk_c7|~inverse(multiply(X0,X1))=sk_c6|~sQ11_spl)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f27,f104])).
% 0.15/0.40 fof(f340,plain,(
% 0.15/0.40 sk_c6=multiply(inverse(sk_c1),sk_c7)|~sQ5_spl),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f70,f179])).
% 0.15/0.40 fof(f344,plain,(
% 0.15/0.40 sk_c6=multiply(sk_c7,sk_c7)|~sQ0_spl|~sQ5_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f51,f340])).
% 0.15/0.40 fof(f349,plain,(
% 0.15/0.40 ~identity=sk_c7|~inverse(inverse(sk_c6))=sk_c6|~sQ11_spl),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f26,f104])).
% 0.15/0.40 fof(f352,definition,(
% 0.15/0.40 sQ27_spl <=> (identity=sk_c7)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f354,plain,(
% 0.15/0.40 ~identity=sk_c7|sQ27_spl),
% 0.15/0.40 inference(component_clause,[status(thm)],[f352])).
% 0.15/0.40 fof(f355,definition,(
% 0.15/0.40 sQ28_spl <=> (inverse(inverse(sk_c6))=sk_c6)),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f358,plain,(
% 0.15/0.40 ~sQ27_spl|~sQ28_spl|~sQ11_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f349,f352,f355,f103])).
% 0.15/0.40 fof(f370,plain,(
% 0.15/0.40 $false|sQ19_spl|~sQ0_spl|~sQ5_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f344,f230])).
% 0.15/0.40 fof(f371,plain,(
% 0.15/0.40 sQ19_spl|~sQ0_spl|~sQ5_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f370])).
% 0.15/0.40 fof(f411,plain,(
% 0.15/0.40 inverse(identity)=identity),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f26,f212])).
% 0.15/0.40 fof(f435,plain,(
% 0.15/0.40 ![X0]: (~identity=sk_c7|~inverse(multiply(inverse(multiply(X0,sk_c6)),X0))=sk_c6|~sQ11_spl)),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f26,f323])).
% 0.15/0.40 fof(f475,definition,(
% 0.15/0.40 ![X0]: (sQ39_spl <=> (~inverse(multiply(inverse(multiply(X0,sk_c6)),X0))=sk_c6))),
% 0.15/0.40 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.15/0.40 fof(f478,plain,(
% 0.15/0.40 ~sQ27_spl|sQ39_spl|~sQ11_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f435,f352,f475,f103])).
% 0.15/0.40 fof(f494,plain,(
% 0.15/0.40 sk_c7=multiply(sk_c7,sk_c3)|~sQ8_spl|~sQ7_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f91,f199])).
% 0.15/0.40 fof(f495,plain,(
% 0.15/0.40 sk_c7=sk_c6|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f77,f494])).
% 0.15/0.40 fof(f496,plain,(
% 0.15/0.40 $false|~sQ0_spl|sQ15_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f495,f173])).
% 0.15/0.40 fof(f497,plain,(
% 0.15/0.40 ~sQ0_spl|sQ15_spl|~sQ6_spl|~sQ8_spl|~sQ7_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f496])).
% 0.15/0.40 fof(f498,plain,(
% 0.15/0.40 ~inverse(identity)=sk_c7|sQ20_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f411,f233])).
% 0.15/0.40 fof(f499,plain,(
% 0.15/0.40 ~identity=sk_c7|sQ20_spl),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f411,f498])).
% 0.15/0.40 fof(f509,plain,(
% 0.15/0.40 $false|sQ27_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f272,f354])).
% 0.15/0.40 fof(f510,plain,(
% 0.15/0.40 sQ27_spl|~sQ4_spl|~sQ3_spl),
% 0.15/0.40 inference(contradiction_clause,[status(thm)],[f509])).
% 0.15/0.40 fof(f514,plain,(
% 0.15/0.40 ~sQ27_spl|sQ20_spl),
% 0.15/0.40 inference(split_clause,[status(thm)],[f499,f352,f231])).
% 0.15/0.40 fof(f515,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(sat_refutation,[status(thm)],[f56,f60,f64,f68,f72,f73,f74,f75,f81,f82,f88,f89,f95,f96,f106,f117,f127,f157,f164,f171,f234,f248,f322,f358,f371,f478,f497,f510,f514])).
% 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.056220 seconds
% 0.15/0.43 % CPU time: 0.180496 seconds
% 0.15/0.43 % Total memory used: 102.551 MB
% 0.15/0.43 % Net memory used: 102.276 MB
%------------------------------------------------------------------------------