%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP312-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 : Tue Sep 29 10:17:27 AM UTC 2026
% Result : Unsatisfiable 0.07s 0.37s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 72
% Syntax : Number of formulae : 459 ( 21 unt; 31 def)
% Number of atoms : 1662 ( 504 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 2320 (1117 ~;1172 |; 0 &)
% ( 31 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 32 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c11,sk_c12) = sk_c10
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f15]) ).
fof(f24,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f30]) ).
fof(f36,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c12 = multiply(sk_c9,sk_c11) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c1,sk_c12) = sk_c11
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c12 = inverse(sk_c1)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c12 = inverse(sk_c1)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c12 = inverse(sk_c1)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c12 = inverse(sk_c1)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f50]) ).
fof(f56,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c9,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c12 = inverse(sk_c1)
| sk_c12 = multiply(sk_c9,sk_c11) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c12 = inverse(sk_c1)
| inverse(sk_c8) = sk_c7 ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c12 = inverse(sk_c1)
| sk_c9 = inverse(sk_c7) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c8,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c12 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f62]) ).
fof(f68,negated_conjecture,
( multiply(sk_c2,sk_c11) = sk_c10
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f68]) ).
fof(f84,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f85,plain,
( sk_c11 = inverse(sk_c2)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f84]) ).
fof(f86,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f87,plain,
( sk_c11 = inverse(sk_c2)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f86]) ).
fof(f88,negated_conjecture,
( inverse(sk_c2) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f89,plain,
( sk_c11 = inverse(sk_c2)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f88]) ).
fof(f90,negated_conjecture,
( inverse(sk_c2) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f91,plain,
( sk_c11 = inverse(sk_c2)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f90]) ).
fof(f104,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f105,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f104]) ).
fof(f106,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f107,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f106]) ).
fof(f108,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f109,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f108]) ).
fof(f110,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c12
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
fof(f111,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f110]) ).
fof(f124,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c4,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f125,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c4,sk_c12) ),
inference(reorient_equations,[],[f124]) ).
fof(f126,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c4) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_62) ).
fof(f127,plain,
( sk_c11 = inverse(sk_c3)
| sk_c12 = inverse(sk_c4) ),
inference(reorient_equations,[],[f126]) ).
fof(f128,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c5,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_63) ).
fof(f129,plain,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c5,sk_c11) ),
inference(reorient_equations,[],[f128]) ).
fof(f130,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c5) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_64) ).
fof(f131,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c5) ),
inference(reorient_equations,[],[f130]) ).
fof(f132,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c6,sk_c9) = sk_c12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_65) ).
fof(f133,plain,
( sk_c11 = inverse(sk_c3)
| sk_c12 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f132]) ).
fof(f134,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_66) ).
fof(f135,plain,
( sk_c11 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f134]) ).
fof(f144,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| multiply(X0,sk_c12) != sk_c11
| inverse(X0) != sk_c12
| multiply(X1,sk_c11) != sk_c10
| inverse(X1) != sk_c11
| multiply(X2,sk_c11) != sk_c12
| inverse(X2) != sk_c11
| multiply(X3,sk_c12) != sk_c11
| inverse(X3) != sk_c12
| multiply(X4,sk_c11) != sk_c10
| inverse(X4) != sk_c11
| multiply(X5,X6) != sk_c12
| inverse(X5) != X6
| multiply(X6,sk_c11) != sk_c12
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_71) ).
fof(f145,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| sk_c11 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12
| sk_c10 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1)
| sk_c12 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c12 != multiply(X6,sk_c11)
| inverse(X7) != X8
| inverse(X8) != X6
| multiply(X7,X6) != X8 ),
inference(reorient_equations,[],[f144]) ).
fof(f146,plain,
! [X2,X3,X0,X1,X8,X7,X4,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| sk_c11 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12
| sk_c10 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1)
| sk_c12 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X5,inverse(X5))
| sk_c12 != multiply(inverse(X5),sk_c11)
| inverse(X7) != X8
| inverse(X5) != inverse(X8)
| multiply(X7,inverse(X5)) != X8 ),
inference(equality_resolution,[],[f145]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X7,X4,X5] :
( multiply(sk_c11,sk_c12) != sk_c10
| sk_c11 != multiply(X0,sk_c12)
| inverse(X0) != sk_c12
| sk_c10 != multiply(X1,sk_c11)
| sk_c11 != inverse(X1)
| sk_c12 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3)
| sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4)
| sk_c12 != multiply(X5,inverse(X5))
| sk_c12 != multiply(inverse(X5),sk_c11)
| inverse(X5) != inverse(inverse(X7))
| inverse(X7) != multiply(X7,inverse(X5)) ),
inference(equality_resolution,[],[f146]) ).
fof(f149,definition,
( spl0_1
<=> ! [X5,X7] :
( sk_c12 != multiply(X5,inverse(X5))
| inverse(X7) != multiply(X7,inverse(X5))
| inverse(X5) != inverse(inverse(X7))
| sk_c12 != multiply(inverse(X5),sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f150,plain,
( ! [X7,X5] :
( inverse(X7) != multiply(X7,inverse(X5))
| sk_c12 != multiply(X5,inverse(X5))
| inverse(X5) != inverse(inverse(X7))
| sk_c12 != multiply(inverse(X5),sk_c11) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f152,definition,
( spl0_2
<=> ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f153,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c11)
| sk_c11 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,definition,
( spl0_3
<=> ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f156,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f158,definition,
( spl0_4
<=> ! [X2] :
( sk_c12 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f159,plain,
( ! [X2] :
( sk_c12 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,definition,
( spl0_5
<=> multiply(sk_c11,sk_c12) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f162,plain,
( multiply(sk_c11,sk_c12) = sk_c10
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f163,plain,
( multiply(sk_c11,sk_c12) != sk_c10
| spl0_5 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f164,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_2
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f147,f161,f155,f152,f158,f155,f152,f149]) ).
fof(f166,definition,
( spl0_6
<=> sk_c7 = multiply(sk_c8,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f168,plain,
( sk_c7 = multiply(sk_c8,sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f170,definition,
( spl0_7
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f172,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f175,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f177,plain,
( sk_c9 = inverse(sk_c7)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f180,definition,
( spl0_9
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f182,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f185,definition,
( spl0_10
<=> sk_c12 = multiply(sk_c9,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f187,plain,
( sk_c12 = multiply(sk_c9,sk_c11)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f190,definition,
( spl0_11
<=> sk_c9 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f192,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f135,f170,f190]) ).
fof(f195,definition,
( spl0_12
<=> sk_c12 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f197,plain,
( sk_c12 = multiply(sk_c6,sk_c9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f133,f170,f195]) ).
fof(f200,definition,
( spl0_13
<=> sk_c11 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f202,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f131,f170,f200]) ).
fof(f205,definition,
( spl0_14
<=> sk_c10 = multiply(sk_c5,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f206,plain,
( sk_c10 != multiply(sk_c5,sk_c11)
| spl0_14 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f207,plain,
( sk_c10 = multiply(sk_c5,sk_c11)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f208,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f129,f170,f205]) ).
fof(f210,definition,
( spl0_15
<=> sk_c12 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f212,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f127,f170,f210]) ).
fof(f215,definition,
( spl0_16
<=> sk_c11 = multiply(sk_c4,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f217,plain,
( sk_c11 = multiply(sk_c4,sk_c12)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f218,plain,
( spl0_16
| spl0_7 ),
inference(avatar_split_clause,[],[f125,f170,f215]) ).
fof(f220,definition,
( spl0_17
<=> sk_c12 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f222,plain,
( sk_c12 = multiply(sk_c3,sk_c11)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f229,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f111,f220,f200]) ).
fof(f230,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f109,f220,f205]) ).
fof(f231,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f107,f220,f210]) ).
fof(f232,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f105,f220,f215]) ).
fof(f234,definition,
( spl0_18
<=> sk_c11 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f236,plain,
( sk_c11 = inverse(sk_c2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f243,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f91,f234,f200]) ).
fof(f244,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f89,f234,f205]) ).
fof(f245,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f87,f234,f210]) ).
fof(f246,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f85,f234,f215]) ).
fof(f248,definition,
( spl0_19
<=> sk_c10 = multiply(sk_c2,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f250,plain,
( sk_c10 = multiply(sk_c2,sk_c11)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f258,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f69,f248,f205]) ).
fof(f262,definition,
( spl0_20
<=> sk_c12 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f264,plain,
( sk_c12 = inverse(sk_c1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
( spl0_6
| spl0_20 ),
inference(avatar_split_clause,[],[f63,f262,f166]) ).
fof(f266,plain,
( spl0_8
| spl0_20 ),
inference(avatar_split_clause,[],[f61,f262,f175]) ).
fof(f267,plain,
( spl0_9
| spl0_20 ),
inference(avatar_split_clause,[],[f59,f262,f180]) ).
fof(f268,plain,
( spl0_10
| spl0_20 ),
inference(avatar_split_clause,[],[f57,f262,f185]) ).
fof(f271,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f51,f262,f200]) ).
fof(f272,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f49,f262,f205]) ).
fof(f273,plain,
( spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f47,f262,f210]) ).
fof(f274,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f45,f262,f215]) ).
fof(f276,definition,
( spl0_21
<=> sk_c11 = multiply(sk_c1,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f278,plain,
( sk_c11 = multiply(sk_c1,sk_c12)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f279,plain,
( spl0_6
| spl0_21 ),
inference(avatar_split_clause,[],[f43,f276,f166]) ).
fof(f280,plain,
( spl0_8
| spl0_21 ),
inference(avatar_split_clause,[],[f41,f276,f175]) ).
fof(f281,plain,
( spl0_9
| spl0_21 ),
inference(avatar_split_clause,[],[f39,f276,f180]) ).
fof(f282,plain,
( spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f37,f276,f185]) ).
fof(f285,plain,
( spl0_13
| spl0_21 ),
inference(avatar_split_clause,[],[f31,f276,f200]) ).
fof(f286,plain,
( spl0_14
| spl0_21 ),
inference(avatar_split_clause,[],[f29,f276,f205]) ).
fof(f287,plain,
( spl0_15
| spl0_21 ),
inference(avatar_split_clause,[],[f27,f276,f210]) ).
fof(f288,plain,
( spl0_16
| spl0_21 ),
inference(avatar_split_clause,[],[f25,f276,f215]) ).
fof(f293,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f161,f190]) ).
fof(f294,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f161,f195]) ).
fof(f295,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f161,f200]) ).
fof(f296,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f10,f161,f205]) ).
fof(f297,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f8,f161,f210]) ).
fof(f298,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f161,f215]) ).
fof(f299,plain,
( identity = multiply(sk_c12,sk_c4)
| ~ spl0_15 ),
inference(superposition,[],[f3,f212]) ).
fof(f300,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl0_13 ),
inference(superposition,[],[f3,f202]) ).
fof(f302,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f3,f182]) ).
fof(f306,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f312,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f306,f1]) ).
fof(f315,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c4,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f299]) ).
fof(f316,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c4,X0)) = X0
| ~ spl0_15 ),
inference(forward_demodulation,[],[f315,f1]) ).
fof(f329,plain,
( sk_c12 = multiply(sk_c12,sk_c11)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f316,f217]) ).
fof(f380,plain,
( sk_c11 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f312,f329]) ).
fof(f384,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c10)
| ~ spl0_14 ),
inference(superposition,[],[f312,f207]) ).
fof(f386,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c12)
| ~ spl0_12 ),
inference(superposition,[],[f312,f197]) ).
fof(f395,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl0_9 ),
inference(superposition,[],[f312,f302]) ).
fof(f398,plain,
( sk_c8 = multiply(sk_c9,identity)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f395,f177]) ).
fof(f403,plain,
( sk_c9 = multiply(sk_c9,sk_c12)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f386,f192]) ).
fof(f405,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f384,f202]) ).
fof(f409,plain,
( identity = sk_c11
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f380,f3]) ).
fof(f414,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f300,f409]) ).
fof(f422,plain,
( identity = sk_c5
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f414,f1]) ).
fof(f445,plain,
( sk_c12 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f312,f403]) ).
fof(f447,plain,
( identity = sk_c12
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f445,f3]) ).
fof(f450,plain,
( sk_c10 != multiply(sk_c11,identity)
| spl0_5
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f163,f447]) ).
fof(f452,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f299,f447]) ).
fof(f461,plain,
( identity = sk_c4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f452,f1]) ).
fof(f463,plain,
( sk_c10 != multiply(identity,identity)
| spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f450,f409]) ).
fof(f465,plain,
( identity != sk_c10
| spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f463,f1]) ).
fof(f467,plain,
( identity = multiply(identity,sk_c10)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f405,f409]) ).
fof(f468,plain,
( identity = sk_c10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f467,f1]) ).
fof(f477,plain,
( sk_c12 = inverse(identity)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f212,f461]) ).
fof(f478,plain,
( identity = inverse(identity)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f477,f447]) ).
fof(f488,plain,
( $false
| spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f465,f468]) ).
fof(f489,plain,
( spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f490,plain,
( ! [X3] :
( sk_c11 != multiply(X3,identity)
| sk_c12 != inverse(X3) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f156,f447]) ).
fof(f491,plain,
( identity = multiply(sk_c11,sk_c12)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f162,f468]) ).
fof(f492,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c12 != inverse(X3) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f490,f409]) ).
fof(f494,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f492,f447]) ).
fof(f496,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f494,f1]) ).
fof(f501,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f496]) ).
fof(f507,definition,
( spl0_23
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f508,plain,
( identity = sk_c8
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f549,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f478,f501]) ).
fof(f550,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f551,plain,
( identity = inverse(sk_c3)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f172,f409]) ).
fof(f553,plain,
( identity = inverse(sk_c2)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f236,f409]) ).
fof(f554,plain,
( sk_c10 = multiply(sk_c2,identity)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f250,f409]) ).
fof(f556,plain,
( ! [X3] :
( identity != multiply(X3,sk_c12)
| sk_c12 != inverse(X3) )
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f156,f409]) ).
fof(f557,plain,
( identity = multiply(identity,sk_c12)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f491,f409]) ).
fof(f559,plain,
( identity = sk_c12
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f557,f1]) ).
fof(f588,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f3,f551]) ).
fof(f589,plain,
( identity = sk_c3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f588,f1]) ).
fof(f591,plain,
( identity = inverse(identity)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f551,f589]) ).
fof(f593,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f3,f553]) ).
fof(f594,plain,
( identity = sk_c2
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f593,f1]) ).
fof(f610,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c12 != inverse(X3) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f556,f559]) ).
fof(f611,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f610,f559]) ).
fof(f614,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f611,f3]) ).
fof(f616,plain,
( identity != inverse(inverse(identity))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f614]) ).
fof(f618,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f616,f591]) ).
fof(f621,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f618,f591]) ).
fof(f622,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f623,plain,
( sk_c10 != multiply(sk_c5,identity)
| spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f206,f409]) ).
fof(f624,plain,
( sk_c10 = multiply(identity,sk_c12)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f162,f409]) ).
fof(f625,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f554,f594]) ).
fof(f626,plain,
( sk_c10 != multiply(identity,identity)
| ~ spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f623,f422]) ).
fof(f627,plain,
( sk_c12 = sk_c10
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f624,f1]) ).
fof(f628,plain,
( identity = sk_c10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f625,f1]) ).
fof(f629,plain,
( identity != sk_c10
| ~ spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f626,f1]) ).
fof(f644,plain,
( $false
| ~ spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f629,f628]) ).
fof(f645,plain,
( ~ spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f684,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_7 ),
inference(superposition,[],[f3,f172]) ).
fof(f686,plain,
( identity = multiply(sk_c11,sk_c2)
| ~ spl0_18 ),
inference(superposition,[],[f3,f236]) ).
fof(f688,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl0_20 ),
inference(superposition,[],[f3,f264]) ).
fof(f692,plain,
( sk_c11 = multiply(inverse(sk_c3),sk_c12)
| ~ spl0_17 ),
inference(superposition,[],[f312,f222]) ).
fof(f694,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f692,f172]) ).
fof(f711,plain,
( sk_c11 != sk_c11
| sk_c12 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f156,f278]) ).
fof(f712,plain,
( sk_c12 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f711]) ).
fof(f714,plain,
( $false
| ~ spl0_3
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f712,f264]) ).
fof(f715,plain,
( ~ spl0_3
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f721,definition,
( spl0_25
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f722,plain,
( sk_c11 = sk_c10
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f730,definition,
( spl0_27
<=> identity = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f731,plain,
( identity = sk_c11
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f739,definition,
( spl0_29
<=> sk_c11 = sk_c12 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f741,plain,
( sk_c11 != sk_c12
| spl0_29 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f749,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c9)
| sk_c12 != multiply(sk_c7,sk_c9)
| sk_c9 != inverse(inverse(X0))
| sk_c12 != multiply(sk_c9,sk_c11) )
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f150,f177]) ).
fof(f750,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != multiply(sk_c1,sk_c12)
| sk_c12 != inverse(inverse(X0))
| sk_c12 != multiply(sk_c12,sk_c11) )
| ~ spl0_1
| ~ spl0_20 ),
inference(superposition,[],[f150,f264]) ).
fof(f752,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c12 != multiply(sk_c3,sk_c11)
| sk_c11 != inverse(inverse(X0))
| sk_c12 != multiply(sk_c11,sk_c11) )
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f150,f172]) ).
fof(f756,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0))
| sk_c12 != multiply(sk_c11,sk_c11) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f752,f222]) ).
fof(f758,plain,
( ! [X0] :
( sk_c11 != sk_c12
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0))
| sk_c12 != multiply(sk_c12,sk_c11) )
| ~ spl0_1
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f750,f278]) ).
fof(f759,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c9)
| sk_c12 != multiply(sk_c7,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f749,f187]) ).
fof(f786,definition,
( spl0_36
<=> sk_c12 = multiply(sk_c12,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f788,plain,
( sk_c12 != multiply(sk_c12,sk_c11)
| spl0_36 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f790,definition,
( spl0_37
<=> ! [X0] :
( inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f791,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f792,plain,
( ~ spl0_36
| spl0_37
| ~ spl0_29
| ~ spl0_1
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f758,f276,f262,f149,f739,f790,f786]) ).
fof(f812,plain,
( sk_c11 = sk_c10
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f162,f694]) ).
fof(f814,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f312,f694]) ).
fof(f816,plain,
( identity = sk_c12
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f814,f3]) ).
fof(f818,plain,
( spl0_25
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f812,f220,f170,f161,f721]) ).
fof(f823,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f688,f816]) ).
fof(f829,plain,
( identity = sk_c1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f823,f1]) ).
fof(f834,plain,
( sk_c11 = multiply(identity,sk_c12)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f278,f829]) ).
fof(f837,plain,
( sk_c11 = sk_c12
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f834,f1]) ).
fof(f839,plain,
( identity = sk_c11
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f837,f816]) ).
fof(f844,plain,
( spl0_27
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f839,f276,f262,f220,f170,f730]) ).
fof(f848,plain,
( ! [X2] :
( identity != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f159,f816]) ).
fof(f856,plain,
( identity != sk_c12
| sk_c11 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f848,f222]) ).
fof(f858,plain,
( sk_c11 != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f856,f816]) ).
fof(f866,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f858,f172]) ).
fof(f867,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f866]) ).
fof(f890,definition,
( spl0_41
<=> ! [X0] :
( identity != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity) ) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f891,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f899,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_7
| ~ spl0_27 ),
inference(superposition,[],[f684,f731]) ).
fof(f900,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_18
| ~ spl0_27 ),
inference(superposition,[],[f686,f731]) ).
fof(f909,plain,
( identity = sk_c2
| ~ spl0_18
| ~ spl0_27 ),
inference(forward_demodulation,[],[f900,f1]) ).
fof(f910,plain,
( identity = sk_c3
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_demodulation,[],[f899,f1]) ).
fof(f925,plain,
( ! [X4] :
( sk_c10 != multiply(X4,identity)
| sk_c11 != inverse(X4) )
| ~ spl0_2
| ~ spl0_27 ),
inference(forward_demodulation,[],[f153,f731]) ).
fof(f927,plain,
( ! [X4] :
( sk_c11 != multiply(X4,identity)
| sk_c11 != inverse(X4) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_27 ),
inference(forward_demodulation,[],[f925,f722]) ).
fof(f929,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c11 != inverse(X4) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_27 ),
inference(forward_demodulation,[],[f927,f731]) ).
fof(f930,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_2
| ~ spl0_25
| ~ spl0_27 ),
inference(forward_demodulation,[],[f929,f731]) ).
fof(f931,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_2
| ~ spl0_25
| ~ spl0_27 ),
inference(superposition,[],[f930,f1]) ).
fof(f936,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_25
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f931]) ).
fof(f939,plain,
( sk_c11 = inverse(identity)
| ~ spl0_18
| ~ spl0_27 ),
inference(superposition,[],[f236,f909]) ).
fof(f940,plain,
( identity = inverse(identity)
| ~ spl0_18
| ~ spl0_27 ),
inference(forward_demodulation,[],[f939,f731]) ).
fof(f945,plain,
( sk_c11 = inverse(identity)
| ~ spl0_7
| ~ spl0_27 ),
inference(superposition,[],[f172,f910]) ).
fof(f946,plain,
( identity = inverse(identity)
| ~ spl0_7
| ~ spl0_27 ),
inference(forward_demodulation,[],[f945,f731]) ).
fof(f949,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_25
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f946,f936]) ).
fof(f950,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_25
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f949]) ).
fof(f960,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| sk_c11 != inverse(inverse(X0))
| sk_c12 != multiply(sk_c11,sk_c11) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f756,f731]) ).
fof(f976,plain,
( ! [X0] :
( identity != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity)
| sk_c12 != multiply(sk_c11,sk_c11) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f960,f731]) ).
fof(f987,plain,
( ! [X0] :
( sk_c12 != multiply(identity,identity)
| identity != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f976,f731]) ).
fof(f995,plain,
( ! [X0] :
( identity != sk_c12
| identity != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f987,f1]) ).
fof(f1002,plain,
( ! [X0] :
( identity != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f995,f816]) ).
fof(f1009,plain,
( spl0_41
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1002,f730,f220,f170,f149,f890]) ).
fof(f1096,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_41 ),
inference(superposition,[],[f891,f3]) ).
fof(f1107,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_18
| ~ spl0_27
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1096,f940]) ).
fof(f1109,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_18
| ~ spl0_27
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1107,f940]) ).
fof(f1111,plain,
( identity != inverse(inverse(identity))
| ~ spl0_18
| ~ spl0_27
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1109,f940]) ).
fof(f1114,plain,
( identity != inverse(identity)
| ~ spl0_18
| ~ spl0_27
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1111,f940]) ).
fof(f1115,plain,
( $false
| ~ spl0_18
| ~ spl0_27
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1114,f940]) ).
fof(f1116,plain,
( ~ spl0_18
| ~ spl0_27
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1115]) ).
fof(f1136,plain,
( spl0_27
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f409,f215,f210,f730]) ).
fof(f1181,definition,
( spl0_48
<=> identity = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f1182,plain,
( identity = inverse(identity)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f1256,plain,
( sk_c7 = multiply(identity,sk_c9)
| ~ spl0_6
| ~ spl0_23 ),
inference(superposition,[],[f168,f508]) ).
fof(f1257,plain,
( sk_c7 = inverse(identity)
| ~ spl0_9
| ~ spl0_23 ),
inference(superposition,[],[f182,f508]) ).
fof(f1258,plain,
( sk_c9 = sk_c7
| ~ spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1256,f1]) ).
fof(f1269,definition,
( spl0_51
<=> identity = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f1270,plain,
( identity = sk_c7
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1301,plain,
( sk_c11 = inverse(identity)
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f202,f422]) ).
fof(f1302,plain,
( identity = inverse(identity)
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1301,f731]) ).
fof(f1303,plain,
( spl0_48
| ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1302,f730,f215,f210,f200,f1181]) ).
fof(f1359,plain,
( identity = sk_c7
| ~ spl0_9
| ~ spl0_23
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1257,f1182]) ).
fof(f1366,plain,
( spl0_51
| ~ spl0_9
| ~ spl0_23
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1359,f1181,f507,f180,f1269]) ).
fof(f1379,definition,
( spl0_53
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f1380,plain,
( identity = sk_c9
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1390,plain,
( identity = sk_c9
| ~ spl0_6
| ~ spl0_23
| ~ spl0_51 ),
inference(superposition,[],[f1258,f1270]) ).
fof(f1391,plain,
( spl0_53
| ~ spl0_6
| ~ spl0_23
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f1390,f1269,f507,f166,f1379]) ).
fof(f1402,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c9,sk_c9)
| inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23 ),
inference(forward_demodulation,[],[f759,f1258]) ).
fof(f1491,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_41 ),
inference(superposition,[],[f891,f3]) ).
fof(f1498,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1491,f1182]) ).
fof(f1501,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1498,f1182]) ).
fof(f1504,plain,
( identity != inverse(inverse(identity))
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1501,f1182]) ).
fof(f1508,plain,
( identity != inverse(identity)
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1504,f1182]) ).
fof(f1510,plain,
( $false
| ~ spl0_41
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1508,f1182]) ).
fof(f1511,plain,
( ~ spl0_41
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1510]) ).
fof(f1529,plain,
( sk_c12 = multiply(sk_c9,identity)
| ~ spl0_10
| ~ spl0_27 ),
inference(forward_demodulation,[],[f187,f731]) ).
fof(f1589,plain,
( ! [X2] :
( sk_c12 != multiply(X2,identity)
| sk_c11 != inverse(X2) )
| ~ spl0_4
| ~ spl0_27 ),
inference(forward_demodulation,[],[f159,f731]) ).
fof(f1590,plain,
( ! [X2] :
( identity != inverse(X2)
| sk_c12 != multiply(X2,identity) )
| ~ spl0_4
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1589,f731]) ).
fof(f1608,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| identity != inverse(X2) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1590,f559]) ).
fof(f1611,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(superposition,[],[f1608,f3]) ).
fof(f1623,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1611]) ).
fof(f1626,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1623,f1182]) ).
fof(f1630,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1626,f1182]) ).
fof(f1631,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1630]) ).
fof(f1635,plain,
( ! [X4] :
( identity != inverse(X4)
| sk_c10 != multiply(X4,identity) )
| ~ spl0_2
| ~ spl0_27 ),
inference(forward_demodulation,[],[f925,f731]) ).
fof(f1642,plain,
( identity = sk_c10
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f627,f559]) ).
fof(f1663,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1635,f1642]) ).
fof(f1668,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(superposition,[],[f1663,f3]) ).
fof(f1680,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1668]) ).
fof(f1683,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1680,f1182]) ).
fof(f1687,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1683,f1182]) ).
fof(f1688,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f1687]) ).
fof(f1698,plain,
( ! [X0] :
( sk_c12 != multiply(identity,identity)
| inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_53 ),
inference(forward_demodulation,[],[f1402,f1380]) ).
fof(f1702,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_37 ),
inference(forward_demodulation,[],[f791,f559]) ).
fof(f1713,plain,
( ! [X0] :
( identity != sk_c12
| inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_23
| ~ spl0_53 ),
inference(forward_demodulation,[],[f1698,f1]) ).
fof(f1718,plain,
( ! [X0] :
( identity != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity) )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_37 ),
inference(forward_demodulation,[],[f1702,f559]) ).
fof(f1730,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f1713,f559]) ).
fof(f1734,plain,
( spl0_41
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f1718,f790,f215,f210,f205,f200,f161,f890]) ).
fof(f1745,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23
| ~ spl0_53 ),
inference(forward_demodulation,[],[f1730,f1380]) ).
fof(f1754,plain,
( ! [X0] :
( identity != inverse(inverse(X0))
| inverse(X0) != multiply(X0,identity) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23
| ~ spl0_53 ),
inference(forward_demodulation,[],[f1745,f1380]) ).
fof(f1765,plain,
( spl0_41
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f1754,f1379,f507,f215,f210,f205,f200,f185,f175,f166,f161,f149,f890]) ).
fof(f1791,plain,
( identity != sk_c11
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_29 ),
inference(forward_demodulation,[],[f741,f559]) ).
fof(f1806,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f1791,f731]) ).
fof(f1807,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| spl0_29 ),
inference(avatar_contradiction_clause,[],[f1806]) ).
fof(f1827,plain,
( sk_c12 != multiply(sk_c12,identity)
| ~ spl0_27
| spl0_36 ),
inference(forward_demodulation,[],[f788,f731]) ).
fof(f1833,plain,
( identity = multiply(sk_c9,identity)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1529,f559]) ).
fof(f1839,plain,
( identity != multiply(identity,identity)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| spl0_36 ),
inference(forward_demodulation,[],[f1827,f559]) ).
fof(f1843,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f1839,f1]) ).
fof(f1844,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| spl0_36 ),
inference(avatar_contradiction_clause,[],[f1843]) ).
fof(f1853,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(superposition,[],[f398,f1833]) ).
fof(f1860,plain,
( spl0_23
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1853,f730,f215,f210,f205,f200,f185,f180,f175,f161,f507]) ).
cnf(s1,plain,
( spl0_2
| spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f164]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f193]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f198]) ).
cnf(s9,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f203]) ).
cnf(s10,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f208]) ).
cnf(s11,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f213]) ).
cnf(s12,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f218]) ).
cnf(s19,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f229]) ).
cnf(s20,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f230]) ).
cnf(s21,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f231]) ).
cnf(s22,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f232]) ).
cnf(s29,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f243]) ).
cnf(s30,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f244]) ).
cnf(s31,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f245]) ).
cnf(s32,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f246]) ).
cnf(s40,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f258]) ).
cnf(s43,plain,
( spl0_6
| spl0_20 ),
inference(sat_conversion,[],[f265]) ).
cnf(s44,plain,
( spl0_8
| spl0_20 ),
inference(sat_conversion,[],[f266]) ).
cnf(s45,plain,
( spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f267]) ).
cnf(s46,plain,
( spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f268]) ).
cnf(s49,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f271]) ).
cnf(s50,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f272]) ).
cnf(s51,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f273]) ).
cnf(s52,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f274]) ).
cnf(s53,plain,
( spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f279]) ).
cnf(s54,plain,
( spl0_8
| spl0_21 ),
inference(sat_conversion,[],[f280]) ).
cnf(s55,plain,
( spl0_9
| spl0_21 ),
inference(sat_conversion,[],[f281]) ).
cnf(s56,plain,
( spl0_10
| spl0_21 ),
inference(sat_conversion,[],[f282]) ).
cnf(s59,plain,
( spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f285]) ).
cnf(s60,plain,
( spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f286]) ).
cnf(s61,plain,
( spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f287]) ).
cnf(s62,plain,
( spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f288]) ).
cnf(s67,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f293]) ).
cnf(s68,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f294]) ).
cnf(s69,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f295]) ).
cnf(s70,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f296]) ).
cnf(s71,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f297]) ).
cnf(s72,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f298]) ).
cnf(s73,plain,
( spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f489]) ).
cnf(s75,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f550]) ).
cnf(s77,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f622]) ).
cnf(s78,plain,
( ~ spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f645]) ).
cnf(s81,plain,
( ~ spl0_3
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f715]) ).
cnf(s88,plain,
( ~ spl0_1
| ~ spl0_20
| ~ spl0_21
| ~ spl0_29
| ~ spl0_36
| spl0_37 ),
inference(sat_conversion,[],[f792]) ).
cnf(s90,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| spl0_25 ),
inference(sat_conversion,[],[f818]) ).
cnf(s94,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| spl0_27 ),
inference(sat_conversion,[],[f844]) ).
cnf(s99,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_17 ),
inference(sat_conversion,[],[f867]) ).
cnf(s104,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_25
| ~ spl0_27 ),
inference(sat_conversion,[],[f950]) ).
cnf(s110,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27
| spl0_41 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s127,plain,
( ~ spl0_18
| ~ spl0_27
| ~ spl0_41 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s128,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_27 ),
inference(sat_conversion,[],[f1136]) ).
cnf(s170,plain,
( ~ spl0_13
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| spl0_48 ),
inference(sat_conversion,[],[f1303]) ).
cnf(s179,plain,
( ~ spl0_9
| ~ spl0_23
| ~ spl0_48
| spl0_51 ),
inference(sat_conversion,[],[f1366]) ).
cnf(s182,plain,
( ~ spl0_6
| ~ spl0_23
| ~ spl0_51
| spl0_53 ),
inference(sat_conversion,[],[f1391]) ).
cnf(s197,plain,
( ~ spl0_41
| ~ spl0_48 ),
inference(sat_conversion,[],[f1511]) ).
cnf(s205,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| ~ spl0_48 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s208,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| ~ spl0_48 ),
inference(sat_conversion,[],[f1688]) ).
cnf(s213,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_37
| spl0_41 ),
inference(sat_conversion,[],[f1734]) ).
cnf(s217,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_23
| spl0_41
| ~ spl0_53 ),
inference(sat_conversion,[],[f1765]) ).
cnf(s227,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| spl0_29 ),
inference(sat_conversion,[],[f1807]) ).
cnf(s237,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27
| spl0_36 ),
inference(sat_conversion,[],[f1844]) ).
cnf(s239,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f1860]) ).
cnf(s241,plain,
spl0_5,
inference(rat,[],[s73,s67,s68,s69,s70,s71,s72]) ).
cnf(s242,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_27 ),
inference(rat,[],[s170,s205,s241]) ).
cnf(s243,plain,
( spl0_7
| ~ spl0_4 ),
inference(rat,[],[s242,s128,s9,s10,s11,s12]) ).
cnf(s244,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s242,s128,s19,s20,s21,s22,s99]) ).
cnf(s245,plain,
~ spl0_4,
inference(rat,[],[s244,s243]) ).
cnf(s246,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14 ),
inference(rat,[],[s75,s7,s8,s77,s241]) ).
cnf(s247,plain,
( spl0_16
| ~ spl0_3 ),
inference(rat,[],[s81,s52,s62]) ).
cnf(s248,plain,
( spl0_15
| ~ spl0_3 ),
inference(rat,[],[s81,s51,s61]) ).
cnf(s249,plain,
( spl0_14
| ~ spl0_3 ),
inference(rat,[],[s81,s50,s60]) ).
cnf(s250,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_3
| ~ spl0_15 ),
inference(rat,[],[s81,s49,s59,s246]) ).
cnf(s251,plain,
~ spl0_3,
inference(rat,[],[s250,s249,s248,s247]) ).
cnf(s252,plain,
( ~ spl0_16
| ~ spl0_27
| ~ spl0_2
| ~ spl0_13
| ~ spl0_15
| ~ spl0_14 ),
inference(rat,[],[s170,s208,s241]) ).
cnf(s253,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s252,s128]) ).
cnf(s254,plain,
( spl0_16
| ~ spl0_2 ),
inference(rat,[],[s104,s90,s94,s12,s22,s52,s62,s241]) ).
cnf(s255,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s104,s90,s94,s11,s21,s51,s61,s241]) ).
cnf(s256,plain,
( ~ spl0_15
| ~ spl0_13
| ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s78,s30,s40,s253]) ).
cnf(s257,plain,
~ spl0_2,
inference(rat,[],[s104,s90,s9,s19,s256,s128,s255,s254,s241]) ).
cnf(s258,plain,
spl0_1,
inference(rat,[],[s2,s245,s251,s241,s257]) ).
cnf(s259,plain,
( spl0_20
| ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s182,s179,s217,s239,s43,s44,s45,s46,s197,s170,s128,s258,s241]) ).
cnf(s260,plain,
( ~ spl0_16
| ~ spl0_27
| ~ spl0_14
| ~ spl0_15
| ~ spl0_13 ),
inference(rat,[],[s182,s179,s217,s239,s53,s54,s55,s56,s88,s259,s213,s197,s170,s227,s237,s241,s258]) ).
cnf(s261,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s260,s128]) ).
cnf(s262,plain,
spl0_16,
inference(rat,[],[s127,s110,s94,s12,s22,s32,s52,s62,s258]) ).
cnf(s263,plain,
spl0_15,
inference(rat,[],[s127,s110,s94,s11,s21,s31,s51,s61,s258]) ).
cnf(s264,plain,
spl0_27,
inference(rat,[],[s128,s262,s263]) ).
cnf(s265,plain,
~ spl0_13,
inference(rat,[],[s78,s30,s40,s261,s262,s263]) ).
cnf(s269,plain,
spl0_18,
inference(rat,[],[s29,s265]) ).
cnf(s270,plain,
spl0_17,
inference(rat,[],[s19,s265]) ).
cnf(s271,plain,
spl0_7,
inference(rat,[],[s9,s265]) ).
cnf(s272,plain,
~ spl0_41,
inference(rat,[],[s127,s264,s269]) ).
cnf(s279,plain,
$false,
inference(rat,[],[s110,s270,s264,s258,s272,s271]) ).
fof(f1862,plain,
$false,
inference(avatar_sat_refutation,[],[s279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP312-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 09:49:35 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32 Running first-order model finding
% 0.03/0.32 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.37 % (2126734)Will run a generic schedule for satisfiability detection.
% 0.07/0.37 % (2126740)% WARNING: option uhcvi not known.
% 0.07/0.37 % (2126742)dis+10_1_sil=32000:sp=arity:random_seed=3743968526:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37 % (2126739)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1235218618_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37 % (2126741)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1410728353:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37 % (2126740)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3825268292:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37 % (2126743)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=415764021:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37 % (2126744)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2161444984:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37 % (2126745)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=854941605:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37 % TRYING [1]
% 0.07/0.37 % TRYING [2]
% 0.07/0.37 % TRYING [3]
% 0.07/0.37 % TRYING [4]
% 0.07/0.37 % TRYING [5]
% 0.07/0.37 % (2126742) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2126734-2126742"...
% 0.07/0.37 % (2126742)...printing done.
% 0.07/0.37 % (2126742)Refutation found. Thanks to Tanya!
% 0.07/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.38 % (2126742)------------------------------
% 0.07/0.38 % (2126742)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.38 % (2126742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.38 % (2126742)CaDiCaL version: 2.1.3
% 0.07/0.38 % (2126742)Termination reason: Refutation
% 0.07/0.38 % (2126742)Time elapsed: 0.019 s
% 0.07/0.38 % (2126742)Peak memory usage: 13 MB
% 0.07/0.38 % (2126742)Instructions burned: 61 (million)
% 0.07/0.38 % (2126734)Success in time 0.051 s
% 0.07/0.38 % Vampire exiting
%------------------------------------------------------------------------------