%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP363-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:33:31 PM UTC 2026
% Result : Unsatisfiable 0.08s 15.68s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 49
% Syntax : Number of formulae : 225 ( 11 unt; 21 def)
% Number of atoms : 743 ( 270 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 966 ( 448 ~; 497 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( inverse(sk_c2) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( inverse(sk_c2) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X2,X1,X3,X4] :
( inverse(X4) != sk_c7
| multiply(X4,sk_c7) != X3
| multiply(sk_c7,X3) != sk_c6
| inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X2) != sk_c6
| multiply(X2,sk_c6) != sk_c5
| inverse(sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f30,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f31,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f32,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f33,plain,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f34,plain,
( inverse(sk_c2) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f35,plain,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f36,plain,
( multiply(sk_c3,sk_c7) = sk_c4
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f37,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f39,plain,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f40,plain,
( inverse(sk_c2) = sk_c6
| inverse(sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f41,plain,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f42,plain,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f43,plain,
( inverse(sk_c3) = sk_c7
| inverse(sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f44,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f45,plain,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f46,plain,
( inverse(sk_c2) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f47,plain,
( multiply(sk_c7,sk_c4) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f48,plain,
( multiply(sk_c3,sk_c7) = sk_c4
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f49,plain,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f50,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f51,plain,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f52,plain,
( inverse(sk_c2) = sk_c6
| inverse(sk_c1) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f53,plain,
( multiply(sk_c7,sk_c4) = sk_c6
| inverse(sk_c1) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f54,plain,
( multiply(sk_c3,sk_c7) = sk_c4
| inverse(sk_c1) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f55,plain,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f56,plain,
! [X4] :
( inverse(X4) != sk_c7
| ! [X3] :
( multiply(X4,sk_c7) != X3
| multiply(sk_c7,X3) != sk_c6
| ! [X1] :
( inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| ! [X2] :
( inverse(X2) != sk_c6
| multiply(X2,sk_c6) != sk_c5
| inverse(sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c7 ) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( inverse(X3) != sk_c7
| multiply(X3,sk_c7) != X2
| multiply(sk_c7,X2) != sk_c6
| inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c5
| inverse(sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c7 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,definition,
( sQ0_spl
<=> multiply(sk_c6,sk_c5) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( ~ sQ0_spl
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f60,plain,
( sQ0_spl
| multiply(sk_c6,sk_c5) != sk_c7 ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,definition,
( sQ1_spl
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f62,plain,
( ~ sQ1_spl
| multiply(sk_c6,sk_c7) = sk_c5 ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f63,plain,
( sQ1_spl
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f32,f58,f61]) ).
fof(f65,definition,
( sQ2_spl
<=> multiply(sk_c2,sk_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f66,plain,
( ~ sQ2_spl
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f33,f58,f65]) ).
fof(f69,definition,
( sQ3_spl
<=> inverse(sk_c2) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( ~ sQ3_spl
| inverse(sk_c2) = sk_c6 ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f34,f58,f69]) ).
fof(f73,definition,
( sQ4_spl
<=> multiply(sk_c7,sk_c4) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( ~ sQ4_spl
| multiply(sk_c7,sk_c4) = sk_c6 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f35,f58,f73]) ).
fof(f77,definition,
( sQ5_spl
<=> multiply(sk_c3,sk_c7) = sk_c4 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ5_spl
| multiply(sk_c3,sk_c7) = sk_c4 ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f36,f58,f77]) ).
fof(f81,definition,
( sQ6_spl
<=> inverse(sk_c3) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ6_spl
| inverse(sk_c3) = sk_c7 ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f37,f58,f81]) ).
fof(f85,definition,
( sQ7_spl
<=> inverse(sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ7_spl
| inverse(sk_c6) = sk_c5 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f87,plain,
( sQ7_spl
| inverse(sk_c6) != sk_c5 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,plain,
( sQ1_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f38,f85,f61]) ).
fof(f89,plain,
( sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f39,f85,f65]) ).
fof(f90,plain,
( sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f40,f85,f69]) ).
fof(f91,plain,
( sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f41,f85,f73]) ).
fof(f92,plain,
( sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f42,f85,f77]) ).
fof(f93,plain,
( sQ6_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f43,f85,f81]) ).
fof(f94,definition,
( sQ8_spl
<=> multiply(sk_c1,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ8_spl
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,plain,
( sQ1_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f44,f94,f61]) ).
fof(f98,plain,
( sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f45,f94,f65]) ).
fof(f99,plain,
( sQ3_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f46,f94,f69]) ).
fof(f100,plain,
( sQ4_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f47,f94,f73]) ).
fof(f101,plain,
( sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f48,f94,f77]) ).
fof(f102,plain,
( sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f49,f94,f81]) ).
fof(f103,definition,
( sQ9_spl
<=> inverse(sk_c1) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ9_spl
| inverse(sk_c1) = sk_c6 ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( sQ1_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f50,f103,f61]) ).
fof(f107,plain,
( sQ2_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f51,f103,f65]) ).
fof(f108,plain,
( sQ3_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f52,f103,f69]) ).
fof(f109,plain,
( sQ4_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f53,f103,f73]) ).
fof(f110,plain,
( sQ5_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f54,f103,f77]) ).
fof(f111,plain,
( sQ6_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f55,f103,f81]) ).
fof(f112,definition,
! [X0] :
( sQ10_spl
<=> ( inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c5 ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f113,plain,
! [X0] :
( ~ sQ10_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c5 ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
! [X1] :
( sQ11_spl
<=> ( inverse(X1) != sk_c6
| multiply(X1,sk_c6) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f116,plain,
! [X0] :
( ~ sQ11_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c7 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
! [X2,X3] :
( sQ12_spl
<=> ( inverse(X3) != sk_c7
| multiply(X3,sk_c7) != X2
| multiply(sk_c7,X2) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f119,plain,
! [X0,X1] :
( ~ sQ12_spl
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != X0
| multiply(sk_c7,X0) != sk_c6 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( sQ12_spl
| sQ11_spl
| ~ sQ1_spl
| sQ10_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f58,f85,f112,f61,f115,f118]) ).
fof(f128,plain,
( ~ sQ7_spl
| multiply(sk_c5,sk_c6) = identity ),
inference(paramodulation,[status(thm)],[f86,f30]) ).
fof(f129,plain,
( ~ sQ3_spl
| multiply(sk_c6,sk_c2) = identity ),
inference(paramodulation,[status(thm)],[f70,f30]) ).
fof(f131,plain,
( ~ sQ9_spl
| multiply(sk_c6,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f104,f30]) ).
fof(f132,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f30,f31]) ).
fof(f133,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f29,f132]) ).
fof(f137,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ12_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c4
| sk_c6 != sk_c6 ),
inference(paramodulation,[status(thm)],[f74,f119]) ).
fof(f138,definition,
( sQ13_spl
<=> sk_c6 = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( sQ13_spl
| sk_c6 != sk_c6 ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
! [X0] :
( sQ14_spl
<=> ( inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c4 ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f142,plain,
! [X0] :
( ~ sQ14_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c4 ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f137,f138,f141,f118,f73]) ).
fof(f145,plain,
( sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f140]) ).
fof(f146,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f145]) ).
fof(f148,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| inverse(sk_c2) != sk_c6 ),
inference(resolution,[status(thm)],[f116,f66]) ).
fof(f150,plain,
( ~ sQ11_spl
| inverse(inverse(sk_c6)) != sk_c6
| identity != sk_c7 ),
inference(paramodulation,[status(thm)],[f30,f116]) ).
fof(f153,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| inverse(sk_c1) != sk_c6
| sk_c5 != sk_c7 ),
inference(paramodulation,[status(thm)],[f95,f116]) ).
fof(f154,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ3_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f70,f148]) ).
fof(f155,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f154]) ).
fof(f156,plain,
( ~ sQ2_spl
| ~ sQ11_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f155]) ).
fof(f159,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| inverse(sk_c1) != sk_c6 ),
inference(resolution,[status(thm)],[f113,f95]) ).
fof(f161,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| inverse(sk_c2) != sk_c6
| sk_c7 != sk_c5 ),
inference(paramodulation,[status(thm)],[f66,f113]) ).
fof(f166,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ9_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f104,f159]) ).
fof(f167,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f166]) ).
fof(f168,plain,
( ~ sQ8_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f167]) ).
fof(f172,definition,
( sQ16_spl
<=> inverse(sk_c5) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( sQ16_spl
| inverse(sk_c5) != sk_c6 ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f176,definition,
( sQ17_spl
<=> sk_c7 = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( sQ17_spl
| sk_c7 != sk_c5 ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,plain,
( ~ sQ2_spl
| ~ sQ10_spl
| ~ sQ3_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f161,f176,f69,f112,f65]) ).
fof(f180,definition,
( sQ18_spl
<=> inverse(inverse(sk_c6)) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( sQ18_spl
| inverse(inverse(sk_c6)) != sk_c6 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f214,plain,
( ~ sQ2_spl
| sk_c6 = multiply(inverse(sk_c2),sk_c7) ),
inference(paramodulation,[status(thm)],[f66,f133]) ).
fof(f219,plain,
( ~ sQ5_spl
| sk_c7 = multiply(inverse(sk_c3),sk_c4) ),
inference(paramodulation,[status(thm)],[f78,f133]) ).
fof(f222,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| sk_c6 = multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f70,f214]) ).
fof(f224,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| sk_c7 = multiply(sk_c7,sk_c4) ),
inference(forward_demodulation,[status(thm)],[f82,f219]) ).
fof(f225,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c7 = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f74,f224]) ).
fof(f236,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| inverse(sk_c3) != sk_c7 ),
inference(resolution,[status(thm)],[f142,f78]) ).
fof(f242,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ6_spl
| sk_c7 != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f82,f236]) ).
fof(f243,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f242]) ).
fof(f244,plain,
( ~ sQ5_spl
| ~ sQ14_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f243]) ).
fof(f249,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(sk_c6,sk_c6) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f225,f62]) ).
fof(f253,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(sk_c6,sk_c5) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f225,f60]) ).
fof(f256,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c6 = multiply(sk_c6,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f225,f222]) ).
fof(f257,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c6 = multiply(inverse(sk_c6),sk_c6) ),
inference(paramodulation,[status(thm)],[f256,f133]) ).
fof(f259,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c6 = identity ),
inference(forward_demodulation,[status(thm)],[f30,f257]) ).
fof(f263,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| multiply(sk_c6,sk_c6) != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f265,f253]) ).
fof(f265,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sk_c6 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f256,f249]) ).
fof(f266,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f256,f263]) ).
fof(f267,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f266]) ).
fof(f268,plain,
( sQ0_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f267]) ).
fof(f280,plain,
( sQ7_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| inverse(sk_c6) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f265,f87]) ).
fof(f281,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| identity = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f259,f265]) ).
fof(f285,plain,
( ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| sk_c7 = identity ),
inference(backward_demodulation,[status(thm)],[f259,f225]) ).
fof(f286,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| multiply(identity,sk_c2) = identity ),
inference(backward_demodulation,[status(thm)],[f259,f129]) ).
fof(f288,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| inverse(sk_c2) = identity ),
inference(backward_demodulation,[status(thm)],[f259,f70]) ).
fof(f294,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sk_c2 = identity ),
inference(forward_demodulation,[status(thm)],[f29,f286]) ).
fof(f310,plain,
( sQ7_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| inverse(identity) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f259,f280]) ).
fof(f311,plain,
( sQ7_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| inverse(identity) != identity ),
inference(forward_demodulation,[status(thm)],[f259,f310]) ).
fof(f320,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| inverse(identity) = identity ),
inference(backward_demodulation,[status(thm)],[f294,f288]) ).
fof(f322,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sQ7_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f320,f311]) ).
fof(f323,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| sQ7_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f322]) ).
fof(f327,plain,
( sQ17_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| identity != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f285,f178]) ).
fof(f328,plain,
( sQ17_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| identity != identity ),
inference(forward_demodulation,[status(thm)],[f281,f327]) ).
fof(f329,plain,
( sQ17_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f328]) ).
fof(f330,plain,
( sQ17_spl
| ~ sQ5_spl
| ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f329]) ).
fof(f337,plain,
( ~ sQ0_spl
| sk_c5 = multiply(inverse(sk_c6),sk_c7) ),
inference(paramodulation,[status(thm)],[f59,f133]) ).
fof(f339,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sk_c5 = multiply(sk_c5,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f86,f337]) ).
fof(f349,plain,
( sQ18_spl
| ~ sQ7_spl
| inverse(sk_c5) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f86,f182]) ).
fof(f357,plain,
( ~ sQ9_spl
| sk_c1 = multiply(inverse(sk_c6),identity) ),
inference(paramodulation,[status(thm)],[f131,f133]) ).
fof(f359,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| sk_c1 = multiply(sk_c5,identity) ),
inference(forward_demodulation,[status(thm)],[f86,f357]) ).
fof(f369,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sk_c7 = multiply(inverse(sk_c5),sk_c5) ),
inference(paramodulation,[status(thm)],[f339,f133]) ).
fof(f372,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f30,f369]) ).
fof(f373,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| sk_c5 = multiply(sk_c5,identity) ),
inference(backward_demodulation,[status(thm)],[f372,f339]) ).
fof(f377,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ7_spl
| multiply(sk_c6,identity) != sk_c5 ),
inference(backward_demodulation,[status(thm)],[f372,f63]) ).
fof(f391,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sk_c1 = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f373,f359]) ).
fof(f396,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ0_spl
| inverse(sk_c5) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f391,f104]) ).
fof(f397,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ0_spl
| multiply(sk_c5,sk_c6) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f391,f95]) ).
fof(f398,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f174]) ).
fof(f399,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ0_spl
| identity = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f128,f397]) ).
fof(f401,plain,
( sQ18_spl
| ~ sQ7_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f349,f172,f85,f180]) ).
fof(f406,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(sk_c6,identity) != identity ),
inference(backward_demodulation,[status(thm)],[f400,f377]) ).
fof(f407,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl
| multiply(identity,sk_c6) = identity ),
inference(backward_demodulation,[status(thm)],[f400,f128]) ).
fof(f408,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl
| inverse(sk_c6) = identity ),
inference(backward_demodulation,[status(thm)],[f400,f86]) ).
fof(f411,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl
| sk_c6 = identity ),
inference(forward_demodulation,[status(thm)],[f29,f407]) ).
fof(f423,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| multiply(identity,identity) != identity ),
inference(forward_demodulation,[status(thm)],[f411,f406]) ).
fof(f424,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| identity != identity ),
inference(forward_demodulation,[status(thm)],[f29,f423]) ).
fof(f425,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f424]) ).
fof(f426,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f425]) ).
fof(f441,definition,
( sQ21_spl
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( sQ21_spl
| identity != sk_c7 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( ~ sQ11_spl
| ~ sQ18_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f150,f441,f180,f115]) ).
fof(f452,plain,
( ~ sQ8_spl
| ~ sQ11_spl
| ~ sQ9_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f153,f176,f103,f115,f94]) ).
fof(f457,plain,
( sQ21_spl
| ~ sQ0_spl
| ~ sQ7_spl
| identity != identity ),
inference(forward_demodulation,[status(thm)],[f372,f443]) ).
fof(f458,plain,
( sQ21_spl
| ~ sQ0_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ21_spl
| ~ sQ0_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f458]) ).
fof(f460,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ7_spl
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != X0
| multiply(identity,X0) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f372,f119]) ).
fof(f461,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ7_spl
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != X0
| X0 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f29,f460]) ).
fof(f462,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != X0
| X0 != identity ),
inference(forward_demodulation,[status(thm)],[f411,f461]) ).
fof(f463,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(X1) != sk_c7
| multiply(X1,identity) != X0
| X0 != identity ),
inference(forward_demodulation,[status(thm)],[f372,f462]) ).
fof(f464,plain,
! [X0,X1] :
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(X1) != identity
| multiply(X1,identity) != X0
| X0 != identity ),
inference(forward_demodulation,[status(thm)],[f372,f463]) ).
fof(f467,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl
| inverse(identity) = identity ),
inference(forward_demodulation,[status(thm)],[f411,f408]) ).
fof(f483,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| inverse(identity) != identity
| identity != identity ),
inference(resolution,[status(thm)],[f464,f29]) ).
fof(f491,definition,
( sQ23_spl
<=> identity = identity ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( sQ23_spl
| identity != identity ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f498,definition,
( sQ25_spl
<=> inverse(identity) = identity ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( sQ25_spl
| inverse(identity) != identity ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( ~ sQ12_spl
| ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ25_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f483,f491,f498,f103,f94,f85,f58,f118]) ).
fof(f509,plain,
( sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f493]) ).
fof(f510,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( sQ25_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl
| identity != identity ),
inference(forward_demodulation,[status(thm)],[f467,f500]) ).
fof(f513,plain,
( sQ25_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ25_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ9_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f513]) ).
fof(f515,plain,
$false,
inference(sat_refutation,[status(thm)],[f64,f68,f72,f76,f80,f84,f88,f89,f90,f91,f92,f93,f97,f98,f99,f100,f101,f102,f106,f107,f108,f109,f110,f111,f121,f144,f146,f156,f168,f179,f244,f268,f323,f330,f399,f401,f426,f444,f452,f459,f501,f510,f514]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP363-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/15.64 % CPULimit : 300
% 0.08/15.64 % WCLimit : 300
% 0.08/15.64 % DateTime : Sun Sep 20 20:10:15 UTC 2026
% 0.08/15.64 % CPUTime :
% 0.08/15.65 % Drodi V4.1.1
% 0.08/15.68 % Refutation found
% 0.08/15.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/15.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/15.69 % Elapsed time: 0.047279 seconds
% 0.08/15.69 % CPU time: 0.137763 seconds
% 0.08/15.69 % Total memory used: 30.788 MB
% 0.08/15.69 % Net memory used: 30.698 MB
%------------------------------------------------------------------------------