%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP334-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:33:26 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 39
% Syntax : Number of formulae : 220 ( 14 unt; 16 def)
% Number of atoms : 745 ( 261 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1009 ( 484 ~; 509 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 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,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( inverse(sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c4
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c4
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( inverse(sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c4
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( inverse(sk_c7) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c4
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X3,X4,X1,X2] :
( inverse(X2) != sk_c6
| multiply(X2,sk_c6) != X1
| multiply(sk_c6,X1) != sk_c5
| inverse(sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5
| multiply(X4,sk_c5) != sk_c6
| inverse(X4) != sk_c6
| inverse(X3) != sk_c6
| multiply(X3,sk_c6) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0] : multiply(identity,X0) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f27,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f28,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f29,plain,
multiply(sk_c6,sk_c7) = sk_c5,
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f30,plain,
( inverse(sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f31,plain,
( inverse(sk_c7) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f32,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f33,plain,
( multiply(sk_c3,sk_c6) = sk_c4
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f34,plain,
( inverse(sk_c3) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f36,plain,
( inverse(sk_c7) = sk_c5
| inverse(sk_c1) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f37,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c1) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f38,plain,
( multiply(sk_c3,sk_c6) = sk_c4
| inverse(sk_c1) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f39,plain,
( inverse(sk_c3) = sk_c6
| inverse(sk_c1) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f41,plain,
( inverse(sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f42,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f43,plain,
( multiply(sk_c3,sk_c6) = sk_c4
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f44,plain,
( inverse(sk_c3) = sk_c6
| inverse(sk_c2) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f46,plain,
( inverse(sk_c7) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f47,plain,
( multiply(sk_c6,sk_c4) = sk_c5
| multiply(sk_c2,sk_c5) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f48,plain,
( multiply(sk_c3,sk_c6) = sk_c4
| multiply(sk_c2,sk_c5) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f49,plain,
( inverse(sk_c3) = sk_c6
| multiply(sk_c2,sk_c5) = sk_c6 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f50,plain,
! [X2] :
( inverse(X2) != sk_c6
| ! [X1] :
( multiply(X2,sk_c6) != X1
| multiply(sk_c6,X1) != sk_c5
| inverse(sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5
| ! [X4] :
( multiply(X4,sk_c5) != sk_c6
| inverse(X4) != sk_c6
| ! [X3] :
( inverse(X3) != sk_c6
| multiply(X3,sk_c6) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5 ) ) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( inverse(X3) != sk_c6
| multiply(X3,sk_c6) != X2
| multiply(sk_c6,X2) != sk_c5
| inverse(sk_c7) != sk_c5
| inverse(sk_c6) != sk_c5
| multiply(X1,sk_c5) != sk_c6
| inverse(X1) != sk_c6
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,definition,
( sQ0_spl
<=> multiply(sk_c1,sk_c6) = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f53,plain,
( ~ sQ0_spl
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,definition,
( sQ1_spl
<=> inverse(sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f56,plain,
( ~ sQ1_spl
| inverse(sk_c6) = sk_c5 ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f57,plain,
( sQ1_spl
| inverse(sk_c6) != sk_c5 ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f30,f52,f55]) ).
fof(f59,definition,
( sQ2_spl
<=> inverse(sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f60,plain,
( ~ sQ2_spl
| inverse(sk_c7) = sk_c5 ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f31,f52,f59]) ).
fof(f63,definition,
( sQ3_spl
<=> multiply(sk_c6,sk_c4) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f64,plain,
( ~ sQ3_spl
| multiply(sk_c6,sk_c4) = sk_c5 ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,plain,
( sQ3_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f32,f52,f63]) ).
fof(f67,definition,
( sQ4_spl
<=> multiply(sk_c3,sk_c6) = sk_c4 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f68,plain,
( ~ sQ4_spl
| multiply(sk_c3,sk_c6) = sk_c4 ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,plain,
( sQ4_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f33,f52,f67]) ).
fof(f71,definition,
( sQ5_spl
<=> inverse(sk_c3) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f72,plain,
( ~ sQ5_spl
| inverse(sk_c3) = sk_c6 ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f34,f52,f71]) ).
fof(f75,definition,
( sQ6_spl
<=> inverse(sk_c1) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f76,plain,
( ~ sQ6_spl
| inverse(sk_c1) = sk_c6 ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,plain,
( sQ1_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f35,f75,f55]) ).
fof(f79,plain,
( sQ2_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f36,f75,f59]) ).
fof(f80,plain,
( sQ3_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f37,f75,f63]) ).
fof(f81,plain,
( sQ4_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f38,f75,f67]) ).
fof(f82,plain,
( sQ5_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f39,f75,f71]) ).
fof(f83,definition,
( sQ7_spl
<=> inverse(sk_c2) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ7_spl
| inverse(sk_c2) = sk_c6 ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f87,plain,
( sQ2_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f41,f83,f59]) ).
fof(f88,plain,
( sQ3_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f42,f83,f63]) ).
fof(f89,plain,
( sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f43,f83,f67]) ).
fof(f90,plain,
( sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f44,f83,f71]) ).
fof(f91,definition,
( sQ8_spl
<=> multiply(sk_c2,sk_c5) = sk_c6 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( ~ sQ8_spl
| multiply(sk_c2,sk_c5) = sk_c6 ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f95,plain,
( sQ2_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f46,f91,f59]) ).
fof(f96,plain,
( sQ3_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f47,f91,f63]) ).
fof(f97,plain,
( sQ4_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f48,f91,f67]) ).
fof(f98,plain,
( sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f49,f91,f71]) ).
fof(f99,definition,
( sQ9_spl
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( sQ9_spl
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,definition,
! [X0] :
( sQ10_spl
<=> ( inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f103,plain,
! [X0] :
( ~ sQ10_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c6) != sk_c7 ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
! [X1] :
( sQ11_spl
<=> ( multiply(X1,sk_c5) != sk_c6
| inverse(X1) != sk_c6 ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f106,plain,
! [X0] :
( ~ sQ11_spl
| multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c6 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
! [X2,X3] :
( sQ12_spl
<=> ( inverse(X3) != sk_c6
| multiply(X3,sk_c6) != X2
| multiply(sk_c6,X2) != sk_c5 ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f109,plain,
! [X0,X1] :
( ~ sQ12_spl
| inverse(X1) != sk_c6
| multiply(X1,sk_c6) != X0
| multiply(sk_c6,X0) != sk_c5 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( sQ12_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ11_spl
| sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f51,f99,f102,f105,f55,f59,f108]) ).
fof(f112,plain,
! [X0] :
( ~ sQ12_spl
| inverse(X0) != sk_c6
| multiply(sk_c6,multiply(X0,sk_c6)) != sk_c5 ),
inference(destructive_equality_resolution,[status(thm)],[f109]) ).
fof(f115,plain,
! [X0] :
( ~ sQ0_spl
| multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c6,X0)) ),
inference(paramodulation,[status(thm)],[f53,f28]) ).
fof(f143,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| inverse(sk_c3) != sk_c6
| multiply(sk_c6,sk_c4) != sk_c5 ),
inference(paramodulation,[status(thm)],[f68,f112]) ).
fof(f144,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| inverse(sk_c1) != sk_c6
| multiply(sk_c6,sk_c7) != sk_c5 ),
inference(paramodulation,[status(thm)],[f53,f112]) ).
fof(f145,plain,
( ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ5_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f143,f63,f71,f108,f67]) ).
fof(f146,plain,
( ~ sQ0_spl
| ~ sQ12_spl
| ~ sQ6_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f144,f99,f75,f108,f52]) ).
fof(f147,plain,
( sQ9_spl
| sk_c5 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f29,f101]) ).
fof(f148,plain,
( sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f147]) ).
fof(f149,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f148]) ).
fof(f151,plain,
( ~ sQ4_spl
| ~ sQ10_spl
| inverse(sk_c3) != sk_c6
| sk_c4 != sk_c7 ),
inference(paramodulation,[status(thm)],[f68,f103]) ).
fof(f152,definition,
( sQ13_spl
<=> sk_c4 = sk_c7 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f154,plain,
( sQ13_spl
| sk_c4 != sk_c7 ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( ~ sQ4_spl
| ~ sQ10_spl
| ~ sQ5_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f151,f152,f71,f102,f67]) ).
fof(f157,plain,
( ~ sQ2_spl
| multiply(sk_c5,sk_c7) = identity ),
inference(paramodulation,[status(thm)],[f60,f27]) ).
fof(f160,plain,
( ~ sQ6_spl
| multiply(sk_c6,sk_c1) = identity ),
inference(paramodulation,[status(thm)],[f76,f27]) ).
fof(f162,plain,
! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f27,f28]) ).
fof(f163,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f26,f162]) ).
fof(f177,plain,
! [X0] :
( ~ sQ6_spl
| multiply(identity,X0) = multiply(sk_c6,multiply(sk_c1,X0)) ),
inference(paramodulation,[status(thm)],[f160,f28]) ).
fof(f178,plain,
! [X0] :
( ~ sQ6_spl
| X0 = multiply(sk_c6,multiply(sk_c1,X0)) ),
inference(forward_demodulation,[status(thm)],[f26,f177]) ).
fof(f197,plain,
( ~ sQ4_spl
| sk_c6 = multiply(inverse(sk_c3),sk_c4) ),
inference(paramodulation,[status(thm)],[f68,f163]) ).
fof(f200,plain,
( ~ sQ8_spl
| sk_c5 = multiply(inverse(sk_c2),sk_c6) ),
inference(paramodulation,[status(thm)],[f92,f163]) ).
fof(f205,plain,
sk_c7 = multiply(inverse(sk_c6),sk_c5),
inference(paramodulation,[status(thm)],[f29,f163]) ).
fof(f208,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| sk_c6 = multiply(sk_c6,sk_c4) ),
inference(forward_demodulation,[status(thm)],[f72,f197]) ).
fof(f209,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| sk_c6 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f64,f208]) ).
fof(f212,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| sk_c5 = multiply(sk_c6,sk_c6) ),
inference(forward_demodulation,[status(thm)],[f84,f200]) ).
fof(f217,plain,
( ~ sQ1_spl
| sk_c7 = multiply(sk_c5,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f56,f205]) ).
fof(f223,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c5,sk_c4) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f209,f64]) ).
fof(f225,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| inverse(sk_c5) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f209,f56]) ).
fof(f230,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| multiply(sk_c5,sk_c7) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f209,f29]) ).
fof(f234,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| identity = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f157,f230]) ).
fof(f235,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f209,f106]) ).
fof(f236,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| multiply(X0,sk_c5) != sk_c5
| inverse(X0) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f209,f235]) ).
fof(f237,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| inverse(identity) != sk_c5 ),
inference(resolution,[status(thm)],[f236,f26]) ).
fof(f244,definition,
( sQ15_spl
<=> identity = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f246,plain,
( sQ15_spl
| identity != sk_c5 ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f251,definition,
( sQ17_spl
<=> sk_c5 = sk_c5 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( sQ17_spl
| sk_c5 != sk_c5 ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f255,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c4 = multiply(inverse(sk_c5),sk_c5) ),
inference(paramodulation,[status(thm)],[f223,f163]) ).
fof(f257,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c4 = identity ),
inference(forward_demodulation,[status(thm)],[f27,f255]) ).
fof(f260,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| multiply(inverse(X0),X0) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f234,f27]) ).
fof(f261,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| multiply(sk_c5,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f234,f26]) ).
fof(f262,plain,
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| identity = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f269,f234]) ).
fof(f267,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| inverse(sk_c7) = sk_c4 ),
inference(backward_demodulation,[status(thm)],[f269,f60]) ).
fof(f269,plain,
( ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ2_spl
| sk_c4 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f234,f257]) ).
fof(f273,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| inverse(sk_c4) = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f269,f225]) ).
fof(f274,plain,
( ~ sQ1_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| inverse(sk_c4) = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f269,f273]) ).
fof(f285,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| inverse(sk_c4) != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f262,f237]) ).
fof(f286,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c4 != sk_c5 ),
inference(forward_demodulation,[status(thm)],[f274,f285]) ).
fof(f287,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sk_c4 != sk_c4 ),
inference(forward_demodulation,[status(thm)],[f269,f286]) ).
fof(f288,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f287]) ).
fof(f289,plain,
( ~ sQ11_spl
| ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f288]) ).
fof(f294,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| multiply(sk_c4,X0) = X0 ),
inference(forward_demodulation,[status(thm)],[f269,f261]) ).
fof(f318,plain,
! [X0] :
( ~ sQ4_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ sQ2_spl
| multiply(inverse(X0),X0) = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f269,f260]) ).
fof(f319,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| multiply(sk_c4,sk_c7) = sk_c4 ),
inference(paramodulation,[status(thm)],[f267,f318]) ).
fof(f326,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sk_c7 = sk_c4 ),
inference(forward_demodulation,[status(thm)],[f294,f319]) ).
fof(f327,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f326,f154]) ).
fof(f328,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| ~ sQ4_spl
| ~ sQ5_spl
| sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f327]) ).
fof(f329,plain,
( sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f253]) ).
fof(f330,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f329]) ).
fof(f347,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| sk_c6 = multiply(inverse(sk_c6),sk_c5) ),
inference(paramodulation,[status(thm)],[f212,f163]) ).
fof(f349,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ1_spl
| sk_c6 = multiply(sk_c5,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f56,f347]) ).
fof(f350,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ1_spl
| sk_c6 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f217,f349]) ).
fof(f355,plain,
( ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ7_spl
| inverse(sk_c7) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f350,f56]) ).
fof(f357,plain,
( ~ sQ1_spl
| ~ sQ8_spl
| ~ sQ7_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f355,f59,f83,f91,f55]) ).
fof(f365,plain,
( ~ sQ2_spl
| multiply(sk_c5,sk_c7) = identity ),
inference(paramodulation,[status(thm)],[f60,f27]) ).
fof(f367,plain,
( ~ sQ7_spl
| multiply(sk_c6,sk_c2) = identity ),
inference(paramodulation,[status(thm)],[f84,f27]) ).
fof(f395,plain,
( ~ sQ0_spl
| sk_c6 = multiply(inverse(sk_c1),sk_c7) ),
inference(paramodulation,[status(thm)],[f53,f163]) ).
fof(f397,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| sk_c6 = multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[status(thm)],[f76,f395]) ).
fof(f398,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| sk_c6 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f29,f397]) ).
fof(f399,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| multiply(sk_c1,sk_c5) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f398,f53]) ).
fof(f400,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sk_c5 = multiply(sk_c6,sk_c5) ),
inference(backward_demodulation,[status(thm)],[f398,f212]) ).
fof(f405,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ6_spl
| inverse(sk_c5) != sk_c5 ),
inference(backward_demodulation,[status(thm)],[f398,f57]) ).
fof(f407,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| inverse(sk_c2) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f398,f84]) ).
fof(f409,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c7) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f398,f29]) ).
fof(f411,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sk_c5 = multiply(sk_c5,sk_c5) ),
inference(forward_demodulation,[status(thm)],[f398,f400]) ).
fof(f412,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ2_spl
| identity = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f157,f409]) ).
fof(f413,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f412,f246]) ).
fof(f414,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ2_spl
| sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f413]) ).
fof(f421,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ2_spl
| multiply(sk_c5,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f412,f26]) ).
fof(f427,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f421,f365]) ).
fof(f429,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ6_spl
| inverse(sk_c5) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f430,f60]) ).
fof(f430,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sk_c7 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f412,f427]) ).
fof(f431,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f429,f405]) ).
fof(f432,plain,
( ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f431]) ).
fof(f435,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c2) = identity ),
inference(forward_demodulation,[status(thm)],[f398,f367]) ).
fof(f456,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| sk_c7 = multiply(inverse(sk_c5),sk_c5) ),
inference(paramodulation,[status(thm)],[f409,f163]) ).
fof(f458,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| sk_c7 = identity ),
inference(forward_demodulation,[status(thm)],[f27,f456]) ).
fof(f459,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ6_spl
| multiply(inverse(X0),X0) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f458,f27]) ).
fof(f461,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| multiply(sk_c5,sk_c2) = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f458,f435]) ).
fof(f463,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ6_spl
| multiply(sk_c7,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f458,f26]) ).
fof(f485,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ0_spl
| X0 = multiply(sk_c5,multiply(sk_c1,X0)) ),
inference(forward_demodulation,[status(thm)],[f398,f178]) ).
fof(f496,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ6_spl
| X0 = multiply(sk_c1,multiply(sk_c6,X0)) ),
inference(forward_demodulation,[status(thm)],[f463,f115]) ).
fof(f497,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ6_spl
| X0 = multiply(sk_c1,multiply(sk_c5,X0)) ),
inference(forward_demodulation,[status(thm)],[f398,f496]) ).
fof(f500,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sk_c2 = multiply(sk_c1,sk_c7) ),
inference(paramodulation,[status(thm)],[f461,f497]) ).
fof(f503,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sk_c5 = multiply(sk_c1,sk_c5) ),
inference(paramodulation,[status(thm)],[f411,f497]) ).
fof(f507,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f399,f503]) ).
fof(f512,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| multiply(inverse(X0),X0) = sk_c5 ),
inference(backward_demodulation,[status(thm)],[f507,f459]) ).
fof(f513,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| multiply(sk_c5,X0) = X0 ),
inference(backward_demodulation,[status(thm)],[f507,f463]) ).
fof(f519,plain,
! [X0] :
( ~ sQ6_spl
| ~ sQ0_spl
| ~ sQ8_spl
| ~ sQ7_spl
| X0 = multiply(sk_c1,X0) ),
inference(backward_demodulation,[status(thm)],[f513,f485]) ).
fof(f531,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| sk_c2 = sk_c7 ),
inference(forward_demodulation,[status(thm)],[f519,f500]) ).
fof(f534,plain,
( ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| sk_c2 = sk_c7 ),
inference(backward_demodulation,[status(thm)],[f541,f507]) ).
fof(f535,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| inverse(sk_c2) = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f541,f407]) ).
fof(f537,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| inverse(sk_c5) != sk_c2 ),
inference(backward_demodulation,[status(thm)],[f541,f405]) ).
fof(f539,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c6 = sk_c2 ),
inference(backward_demodulation,[status(thm)],[f541,f398]) ).
fof(f541,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| sk_c2 = sk_c5 ),
inference(forward_demodulation,[status(thm)],[f507,f531]) ).
fof(f542,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| inverse(sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f541,f537]) ).
fof(f548,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f535,f542]) ).
fof(f549,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f548]) ).
fof(f550,plain,
( sQ1_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f549]) ).
fof(f609,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(X0,sk_c5) != sk_c6
| inverse(X0) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f539,f106]) ).
fof(f610,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(X0,sk_c2) != sk_c6
| inverse(X0) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f541,f609]) ).
fof(f611,plain,
! [X0] :
( ~ sQ11_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| multiply(X0,sk_c2) != sk_c2
| inverse(X0) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f539,f610]) ).
fof(f709,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| multiply(inverse(X0),X0) = sk_c2 ),
inference(forward_demodulation,[status(thm)],[f541,f512]) ).
fof(f715,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ11_spl
| inverse(inverse(sk_c2)) != sk_c2 ),
inference(resolution,[status(thm)],[f611,f709]) ).
fof(f720,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ11_spl
| inverse(sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f535,f715]) ).
fof(f721,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ11_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f535,f720]) ).
fof(f722,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f721]) ).
fof(f723,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f722]) ).
fof(f731,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c2) != sk_c7 ),
inference(forward_demodulation,[status(thm)],[f539,f103]) ).
fof(f732,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| inverse(X0) != sk_c6
| multiply(X0,sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f534,f731]) ).
fof(f733,plain,
! [X0] :
( ~ sQ10_spl
| ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ7_spl
| ~ sQ8_spl
| inverse(X0) != sk_c2
| multiply(X0,sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f539,f732]) ).
fof(f759,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ10_spl
| inverse(inverse(sk_c2)) != sk_c2 ),
inference(resolution,[status(thm)],[f733,f709]) ).
fof(f765,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ10_spl
| inverse(sk_c2) != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f535,f759]) ).
fof(f766,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ10_spl
| sk_c2 != sk_c2 ),
inference(forward_demodulation,[status(thm)],[f535,f765]) ).
fof(f767,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f766]) ).
fof(f768,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f769,plain,
$false,
inference(sat_refutation,[status(thm)],[f58,f62,f66,f70,f74,f78,f79,f80,f81,f82,f87,f88,f89,f90,f95,f96,f97,f98,f111,f145,f146,f149,f155,f289,f328,f330,f357,f414,f432,f550,f723,f768]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP334-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:11:00 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.43 % Elapsed time: 0.061339 seconds
% 0.10/0.43 % CPU time: 0.211807 seconds
% 0.10/0.43 % Total memory used: 97.821 MB
% 0.10/0.43 % Net memory used: 97.471 MB
%------------------------------------------------------------------------------