%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP299-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:33:21 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.34s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 49
% Syntax : Number of formulae : 225 ( 14 unt; 21 def)
% Number of atoms : 724 ( 263 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 919 ( 420 ~; 478 |; 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 : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( inverse(sk_c3) = sk_c4
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( inverse(sk_c3) = sk_c4
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( inverse(sk_c3) = sk_c4
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( multiply(sk_c3,sk_c4) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( inverse(sk_c3) = sk_c4
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X2,X1,X3,X4] :
( multiply(X4,sk_c7) != sk_c6
| inverse(X3) != X4
| multiply(X3,X4) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c7) != sk_c6
| inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/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_c7,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f33,plain,
( inverse(sk_c2) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f34,plain,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f35,plain,
( multiply(sk_c3,sk_c4) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f36,plain,
( inverse(sk_c3) = sk_c4
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f37,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f39,plain,
( inverse(sk_c2) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f40,plain,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f41,plain,
( multiply(sk_c3,sk_c4) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f42,plain,
( inverse(sk_c3) = sk_c4
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f43,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f44,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f45,plain,
( inverse(sk_c2) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f46,plain,
( multiply(sk_c2,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f47,plain,
( multiply(sk_c3,sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f48,plain,
( inverse(sk_c3) = sk_c4
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f49,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f50,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f51,plain,
( inverse(sk_c2) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f52,plain,
( multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f53,plain,
( multiply(sk_c3,sk_c4) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f54,plain,
( inverse(sk_c3) = sk_c4
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f55,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f56,plain,
! [X4] :
( multiply(X4,sk_c7) != sk_c6
| ! [X3] :
( inverse(X3) != X4
| multiply(X3,X4) != sk_c6
| ! [X1] :
( multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c7) != sk_c6
| ! [X2] :
( inverse(X2) != sk_c7
| multiply(X2,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5 ) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( multiply(X3,sk_c7) != sk_c6
| inverse(X2) != X3
| multiply(X2,X3) != sk_c6
| multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| multiply(sk_c5,sk_c7) != sk_c6
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,definition,
( sQ0_spl
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f59,plain,
( ~ sQ0_spl
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f60,plain,
( sQ0_spl
| multiply(sk_c7,sk_c6) != sk_c5 ),
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
<=> inverse(sk_c2) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f66,plain,
( ~ sQ2_spl
| inverse(sk_c2) = 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
<=> multiply(sk_c2,sk_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f70,plain,
( ~ sQ3_spl
| multiply(sk_c2,sk_c6) = sk_c7 ),
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_c3,sk_c4) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f74,plain,
( ~ sQ4_spl
| multiply(sk_c3,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
<=> inverse(sk_c3) = sk_c4 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ5_spl
| inverse(sk_c3) = 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
<=> multiply(sk_c4,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f82,plain,
( ~ sQ6_spl
| multiply(sk_c4,sk_c7) = sk_c6 ),
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
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f86,plain,
( ~ sQ7_spl
| multiply(sk_c1,sk_c7) = sk_c6 ),
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
<=> inverse(sk_c1) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f95,plain,
( ~ sQ8_spl
| inverse(sk_c1) = sk_c7 ),
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
<=> multiply(sk_c5,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( ~ sQ9_spl
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f105,plain,
( sQ9_spl
| multiply(sk_c5,sk_c7) != 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_c7
| multiply(X0,sk_c7) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f113,plain,
! [X0] :
( ~ sQ10_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6 ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,definition,
! [X1] :
( sQ11_spl
<=> ( multiply(X1,sk_c6) != sk_c7
| inverse(X1) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f116,plain,
! [X0] :
( ~ sQ11_spl
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c7 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,definition,
! [X2,X3] :
( sQ12_spl
<=> ( multiply(X3,sk_c7) != sk_c6
| inverse(X2) != X3
| multiply(X2,X3) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f119,plain,
! [X0,X1] :
( ~ sQ12_spl
| multiply(X1,sk_c7) != sk_c6
| inverse(X0) != X1
| multiply(X0,X1) != sk_c6 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( sQ12_spl
| sQ11_spl
| ~ sQ1_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f57,f58,f112,f103,f61,f115,f118]) ).
fof(f122,plain,
! [X0] :
( ~ sQ12_spl
| multiply(inverse(X0),sk_c7) != sk_c6
| multiply(X0,inverse(X0)) != sk_c6 ),
inference(destructive_equality_resolution,[status(thm)],[f119]) ).
fof(f128,plain,
! [X0] :
( ~ sQ6_spl
| multiply(sk_c6,X0) = multiply(sk_c4,multiply(sk_c7,X0)) ),
inference(paramodulation,[status(thm)],[f82,f31]) ).
fof(f129,plain,
! [X0] :
( ~ sQ7_spl
| multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0)) ),
inference(paramodulation,[status(thm)],[f86,f31]) ).
fof(f155,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| multiply(sk_c4,sk_c7) != sk_c6
| multiply(sk_c3,inverse(sk_c3)) != sk_c6 ),
inference(paramodulation,[status(thm)],[f78,f122]) ).
fof(f156,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| multiply(sk_c7,sk_c7) != sk_c6
| multiply(sk_c1,inverse(sk_c1)) != sk_c6 ),
inference(paramodulation,[status(thm)],[f95,f122]) ).
fof(f160,definition,
( sQ14_spl
<=> multiply(sk_c7,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f162,plain,
( sQ14_spl
| multiply(sk_c7,sk_c7) != sk_c6 ),
inference(component_clause,[status(thm)],[f160]) ).
fof(f164,definition,
( sQ15_spl
<=> multiply(sk_c3,inverse(sk_c3)) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( sQ15_spl
| multiply(sk_c3,inverse(sk_c3)) != sk_c6 ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ6_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f155,f164,f81,f118,f77]) ).
fof(f168,definition,
( sQ16_spl
<=> multiply(sk_c1,inverse(sk_c1)) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( sQ16_spl
| multiply(sk_c1,inverse(sk_c1)) != sk_c6 ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( ~ sQ8_spl
| ~ sQ12_spl
| ~ sQ14_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f156,f168,f160,f118,f94]) ).
fof(f172,plain,
( sQ16_spl
| ~ sQ8_spl
| multiply(sk_c1,sk_c7) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f95,f170]) ).
fof(f173,plain,
( sQ16_spl
| ~ sQ8_spl
| ~ sQ7_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f86,f172]) ).
fof(f174,plain,
( sQ16_spl
| ~ sQ8_spl
| ~ sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f173]) ).
fof(f175,plain,
( sQ16_spl
| ~ sQ8_spl
| ~ sQ7_spl ),
inference(contradiction_clause,[status(thm)],[f174]) ).
fof(f178,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| sk_c7 != sk_c7
| inverse(sk_c2) != sk_c7 ),
inference(paramodulation,[status(thm)],[f70,f116]) ).
fof(f179,definition,
( sQ17_spl
<=> sk_c7 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( sQ17_spl
| sk_c7 != sk_c7 ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,plain,
( ~ sQ3_spl
| ~ sQ11_spl
| ~ sQ17_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f178,f65,f179,f115,f69]) ).
fof(f183,plain,
( sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f181]) ).
fof(f184,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f183]) ).
fof(f188,plain,
( ~ sQ8_spl
| multiply(sk_c7,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f95,f30]) ).
fof(f189,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f30,f31]) ).
fof(f190,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f29,f189]) ).
fof(f203,plain,
! [X0] :
( ~ sQ8_spl
| multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0)) ),
inference(paramodulation,[status(thm)],[f188,f31]) ).
fof(f204,plain,
! [X0] :
( ~ sQ8_spl
| X0 = multiply(sk_c7,multiply(sk_c1,X0)) ),
inference(forward_demodulation,[status(thm)],[f29,f203]) ).
fof(f216,plain,
! [X0] : X0 = multiply(inverse(identity),X0),
inference(paramodulation,[status(thm)],[f29,f190]) ).
fof(f221,plain,
( ~ sQ3_spl
| sk_c6 = multiply(inverse(sk_c2),sk_c7) ),
inference(paramodulation,[status(thm)],[f70,f190]) ).
fof(f224,plain,
( ~ sQ4_spl
| sk_c4 = multiply(inverse(sk_c3),sk_c6) ),
inference(paramodulation,[status(thm)],[f74,f190]) ).
fof(f227,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| sk_c6 = multiply(sk_c7,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f66,f221]) ).
fof(f230,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sk_c4 = multiply(sk_c4,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f78,f224]) ).
fof(f242,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| multiply(sk_c6,sk_c7) = multiply(sk_c4,sk_c6) ),
inference(paramodulation,[status(thm)],[f227,f128]) ).
fof(f248,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ1_spl
| sk_c5 = multiply(sk_c4,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f62,f242]) ).
fof(f265,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sk_c6 = multiply(inverse(sk_c4),sk_c4) ),
inference(paramodulation,[status(thm)],[f230,f190]) ).
fof(f268,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sk_c6 = identity ),
inference(forward_demodulation,[status(thm)],[f30,f265]) ).
fof(f274,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c6,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f268,f29]) ).
fof(f276,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c7 = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f274,f62]) ).
fof(f283,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(backward_demodulation,[status(thm)],[f276,f227]) ).
fof(f284,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c5,sk_c6) != sk_c5 ),
inference(backward_demodulation,[status(thm)],[f276,f60]) ).
fof(f291,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c6 = multiply(sk_c5,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f276,f283]) ).
fof(f305,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| sk_c7 = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f308,f276]) ).
fof(f308,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c5 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f230,f248]) ).
fof(f314,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| multiply(sk_c4,sk_c6) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f308,f284]) ).
fof(f315,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| sk_c4 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f230,f314]) ).
fof(f316,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| sk_c4 != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f308,f315]) ).
fof(f317,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f316]) ).
fof(f318,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f317]) ).
fof(f321,plain,
( sQ15_spl
| ~ sQ5_spl
| multiply(sk_c3,sk_c4) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f78,f166]) ).
fof(f322,plain,
( sQ15_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f74,f321]) ).
fof(f323,plain,
( sQ15_spl
| ~ sQ5_spl
| ~ sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f322]) ).
fof(f324,plain,
( sQ15_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f323]) ).
fof(f351,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| inverse(X0) != sk_c7
| multiply(X0,sk_c4) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f305,f113]) ).
fof(f352,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| inverse(X0) != sk_c4
| multiply(X0,sk_c4) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f305,f351]) ).
fof(f372,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c6 = multiply(sk_c4,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f308,f291]) ).
fof(f373,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sk_c6 = multiply(sk_c4,sk_c4) ),
inference(forward_demodulation,[status(thm)],[f308,f372]) ).
fof(f391,plain,
( ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| inverse(sk_c3) != sk_c4 ),
inference(resolution,[status(thm)],[f352,f74]) ).
fof(f399,plain,
( ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| sk_c4 != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f78,f391]) ).
fof(f400,plain,
( ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f399]) ).
fof(f401,plain,
( ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ1_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl ),
inference(contradiction_clause,[status(thm)],[f400]) ).
fof(f405,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| inverse(sk_c1) != sk_c7
| sk_c6 != sk_c6 ),
inference(paramodulation,[status(thm)],[f86,f113]) ).
fof(f407,definition,
( sQ18_spl
<=> sk_c6 = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( sQ18_spl
| sk_c6 != sk_c6 ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ8_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f405,f407,f94,f112,f85]) ).
fof(f411,plain,
( sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f409]) ).
fof(f412,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f411]) ).
fof(f420,plain,
! [X0] : multiply(identity,X0) = X0,
inference(paramodulation,[status(thm)],[f190,f216]) ).
fof(f429,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| sk_c7 = multiply(sk_c7,sk_c6) ),
inference(paramodulation,[status(thm)],[f86,f204]) ).
fof(f432,plain,
( ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sk_c7 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f59,f429]) ).
fof(f435,plain,
( sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| multiply(sk_c6,sk_c5) != sk_c5 ),
inference(backward_demodulation,[status(thm)],[f432,f63]) ).
fof(f438,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| multiply(sk_c5,sk_c5) = sk_c6 ),
inference(backward_demodulation,[status(thm)],[f432,f104]) ).
fof(f439,plain,
( sQ14_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| multiply(sk_c7,sk_c5) != sk_c6 ),
inference(backward_demodulation,[status(thm)],[f432,f162]) ).
fof(f440,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(sk_c5,sk_c6) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f432,f59]) ).
fof(f441,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| inverse(sk_c1) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f432,f95]) ).
fof(f444,plain,
( sQ14_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| multiply(sk_c5,sk_c5) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f432,f439]) ).
fof(f449,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| multiply(sk_c5,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f441,f30]) ).
fof(f459,plain,
( sQ14_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ9_spl
| sk_c6 != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f438,f444]) ).
fof(f460,plain,
( sQ14_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f459]) ).
fof(f461,plain,
( sQ14_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f460]) ).
fof(f464,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c6 = multiply(inverse(sk_c5),sk_c5) ),
inference(paramodulation,[status(thm)],[f440,f190]) ).
fof(f466,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c6 = identity ),
inference(forward_demodulation,[status(thm)],[f30,f464]) ).
fof(f469,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(sk_c6,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f466,f420]) ).
fof(f471,plain,
( sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sk_c5 != sk_c5 ),
inference(backward_demodulation,[status(thm)],[f469,f435]) ).
fof(f474,plain,
( sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f471]) ).
fof(f475,plain,
( sQ1_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f474]) ).
fof(f483,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| multiply(X0,sk_c6) != sk_c7
| inverse(X0) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f432,f116]) ).
fof(f484,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| multiply(X0,sk_c6) != sk_c5
| inverse(X0) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f432,f483]) ).
fof(f491,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| multiply(sk_c5,sk_c1) = sk_c6 ),
inference(forward_demodulation,[status(thm)],[f466,f449]) ).
fof(f521,definition,
( sQ22_spl
<=> sk_c5 = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f523,plain,
( sQ22_spl
| sk_c5 != sk_c5 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f530,plain,
( sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f523]) ).
fof(f531,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f532,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ8_spl
| X0 = multiply(sk_c1,multiply(sk_c7,X0)) ),
inference(forward_demodulation,[status(thm)],[f469,f129]) ).
fof(f533,plain,
! [X0] :
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ8_spl
| X0 = multiply(sk_c1,multiply(sk_c5,X0)) ),
inference(forward_demodulation,[status(thm)],[f432,f532]) ).
fof(f534,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sk_c1 = multiply(sk_c1,sk_c6) ),
inference(paramodulation,[status(thm)],[f491,f533]) ).
fof(f536,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sk_c5 = multiply(sk_c1,sk_c6) ),
inference(paramodulation,[status(thm)],[f438,f533]) ).
fof(f540,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ11_spl
| sk_c1 != sk_c5
| inverse(sk_c1) != sk_c5 ),
inference(paramodulation,[status(thm)],[f534,f484]) ).
fof(f543,definition,
( sQ24_spl
<=> inverse(sk_c1) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f545,plain,
( sQ24_spl
| inverse(sk_c1) != sk_c5 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,definition,
( sQ25_spl
<=> sk_c1 = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( sQ25_spl
| sk_c1 != sk_c5 ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ11_spl
| ~ sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f540,f543,f546,f115,f58,f85,f94]) ).
fof(f550,plain,
( sQ24_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f441,f545]) ).
fof(f551,plain,
( sQ24_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f550]) ).
fof(f552,plain,
( sQ24_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f553,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sk_c5 = sk_c1 ),
inference(forward_demodulation,[status(thm)],[f534,f536]) ).
fof(f554,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f548]) ).
fof(f555,plain,
( ~ sQ9_spl
| ~ sQ7_spl
| ~ sQ8_spl
| ~ sQ0_spl
| sQ25_spl ),
inference(contradiction_clause,[status(thm)],[f554]) ).
fof(f594,plain,
( sQ9_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c4,sk_c7) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f308,f105]) ).
fof(f595,plain,
( sQ9_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c4,sk_c4) != sk_c6 ),
inference(forward_demodulation,[status(thm)],[f305,f594]) ).
fof(f599,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f373,f595]) ).
fof(f600,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ6_spl
| sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f599]) ).
fof(f601,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,f167,f171,f175,f182,f184,f318,f324,f401,f410,f412,f461,f475,f531,f549,f552,f555,f600]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP299-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 20:08:08 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.31 % Drodi V4.1.1
% 0.07/0.34 % Refutation found
% 0.07/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.35 % Elapsed time: 0.045819 seconds
% 0.07/0.35 % CPU time: 0.115412 seconds
% 0.07/0.35 % Total memory used: 103.967 MB
% 0.07/0.35 % Net memory used: 103.683 MB
%------------------------------------------------------------------------------