%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP340-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 10:13:41 AM UTC 2026
% Result : Unsatisfiable 3.23s 1.32s
% Output : Refutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 51
% Syntax : Number of formulae : 427 ( 26 unt; 25 def)
% Number of atoms : 1611 ( 450 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2363 (1179 ~;1159 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 26 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f24,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c11 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f30]) ).
fof(f44,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f50]) ).
fof(f64,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f70]) ).
fof(f84,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f85,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f84]) ).
fof(f86,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f87,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f86]) ).
fof(f88,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f89,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f88]) ).
fof(f90,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f91,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f90]) ).
fof(f104,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != sk_c11
| multiply(X0,sk_c10) != sk_c11
| inverse(X1) != sk_c10
| multiply(X1,sk_c9) != sk_c10
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(X4,X5) != sk_c11
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c11
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10)
| sk_c10 != inverse(X1)
| sk_c10 != multiply(X1,sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(reorient_equations,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X6,X7,X4] :
( multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10)
| sk_c10 != inverse(X1)
| sk_c10 != multiply(X1,sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != X7
| inverse(X4) != inverse(X7)
| multiply(X6,inverse(X4)) != X7 ),
inference(equality_resolution,[],[f105]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X6,X4] :
( multiply(sk_c10,sk_c11) != sk_c9
| inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10)
| sk_c10 != inverse(X1)
| sk_c10 != multiply(X1,sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X4) != inverse(inverse(X6))
| inverse(X6) != multiply(X6,inverse(X4)) ),
inference(equality_resolution,[],[f106]) ).
fof(f109,definition,
( spl0_1
<=> ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f110,plain,
( ! [X6,X4] :
( sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(X4,inverse(X4)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f113,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,definition,
( spl0_3
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f116,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,definition,
( spl0_4
<=> ! [X1] :
( sk_c10 != inverse(X1)
| sk_c10 != multiply(X1,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f119,plain,
( ! [X1] :
( sk_c10 != inverse(X1)
| sk_c10 != multiply(X1,sk_c9) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl0_5
<=> ! [X0] :
( inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f122,plain,
( ! [X0] :
( inverse(X0) != sk_c11
| sk_c11 != multiply(X0,sk_c10) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,definition,
( spl0_6
<=> multiply(sk_c10,sk_c11) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f125,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
( multiply(sk_c10,sk_c11) != sk_c9
| spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f107,f124,f121,f118,f115,f112,f109]) ).
fof(f133,definition,
( spl0_8
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f135,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f153,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f155,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f158,definition,
( spl0_13
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f160,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f163,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f165,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f91,f133,f163]) ).
fof(f168,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f169,plain,
( sk_c9 != multiply(sk_c4,sk_c10)
| spl0_15 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f170,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f89,f133,f168]) ).
fof(f173,definition,
( spl0_16
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f175,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f87,f133,f173]) ).
fof(f178,definition,
( spl0_17
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f180,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,plain,
( spl0_17
| spl0_8 ),
inference(avatar_split_clause,[],[f85,f133,f178]) ).
fof(f183,definition,
( spl0_18
<=> sk_c10 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f185,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f192,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f71,f183,f163]) ).
fof(f193,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f69,f183,f168]) ).
fof(f194,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f67,f183,f173]) ).
fof(f195,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f65,f183,f178]) ).
fof(f197,definition,
( spl0_19
<=> sk_c11 = multiply(sk_c1,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f199,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f206,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f51,f197,f163]) ).
fof(f207,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f49,f197,f168]) ).
fof(f208,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f47,f197,f173]) ).
fof(f209,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f45,f197,f178]) ).
fof(f211,definition,
( spl0_20
<=> sk_c11 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f213,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f220,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f31,f211,f163]) ).
fof(f221,plain,
( spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f29,f211,f168]) ).
fof(f222,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f27,f211,f173]) ).
fof(f223,plain,
( spl0_17
| spl0_20 ),
inference(avatar_split_clause,[],[f25,f211,f178]) ).
fof(f228,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f124,f153]) ).
fof(f229,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f124,f158]) ).
fof(f230,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f124,f163]) ).
fof(f231,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f124,f168]) ).
fof(f232,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f124,f173]) ).
fof(f233,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f124,f178]) ).
fof(f234,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f3,f175]) ).
fof(f235,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_14 ),
inference(superposition,[],[f3,f165]) ).
fof(f241,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f242,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl0_17 ),
inference(superposition,[],[f4,f180]) ).
fof(f247,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f241,f1]) ).
fof(f250,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f234]) ).
fof(f251,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f264,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f251,f180]) ).
fof(f273,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f242,f264]) ).
fof(f275,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f273,f180]) ).
fof(f311,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_14 ),
inference(superposition,[],[f247,f235]) ).
fof(f315,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f247,f264]) ).
fof(f319,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_15 ),
inference(superposition,[],[f247,f170]) ).
fof(f321,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_13 ),
inference(superposition,[],[f247,f160]) ).
fof(f338,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f321,f155]) ).
fof(f340,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f319,f165]) ).
fof(f344,plain,
( identity = sk_c10
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f315,f3]) ).
fof(f359,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f247,f338]) ).
fof(f361,plain,
( identity = sk_c11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f359,f3]) ).
fof(f364,plain,
( sk_c10 = sk_c11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f361,f344]) ).
fof(f365,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f126,f364]) ).
fof(f375,plain,
( sk_c10 != sk_c9
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f365,f275]) ).
fof(f379,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f247,f340]) ).
fof(f381,plain,
( identity = sk_c9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f379,f3]) ).
fof(f384,plain,
( sk_c10 = sk_c9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f381,f344]) ).
fof(f388,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f311,f344]) ).
fof(f389,plain,
( identity = sk_c4
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f388,f3]) ).
fof(f390,plain,
( sk_c10 = sk_c4
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f389,f344]) ).
fof(f394,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f165,f390]) ).
fof(f414,plain,
( $false
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f375,f384]) ).
fof(f415,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f417,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f125,f384]) ).
fof(f450,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f135,f384]) ).
fof(f454,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_18 ),
inference(superposition,[],[f3,f185]) ).
fof(f457,plain,
( identity = multiply(sk_c11,sk_c1)
| ~ spl0_20 ),
inference(superposition,[],[f3,f213]) ).
fof(f462,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c11)
| ~ spl0_19 ),
inference(superposition,[],[f247,f199]) ).
fof(f463,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl0_19 ),
inference(superposition,[],[f4,f199]) ).
fof(f464,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f462,f213]) ).
fof(f470,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f247,f417]) ).
fof(f472,plain,
( identity = sk_c11
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f470,f3]) ).
fof(f475,plain,
( sk_c10 = sk_c11
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f472,f344]) ).
fof(f493,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c10)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f116,f475]) ).
fof(f494,plain,
( ! [X2] :
( sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c10) )
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f493,f475]) ).
fof(f505,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f494,f165]) ).
fof(f509,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f494,f185]) ).
fof(f510,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f509]) ).
fof(f511,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f505]) ).
fof(f513,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f510,f450]) ).
fof(f514,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f513]) ).
fof(f526,plain,
( sk_c10 != sk_c9
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f511,f170]) ).
fof(f531,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f526,f384]) ).
fof(f532,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f535,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f1,f381]) ).
fof(f537,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_6 ),
inference(superposition,[],[f247,f125]) ).
fof(f538,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c11,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f125]) ).
fof(f539,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c10)
| ~ spl0_8 ),
inference(superposition,[],[f247,f135]) ).
fof(f541,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_demodulation,[],[f539,f185]) ).
fof(f545,plain,
( sk_c10 != sk_c9
| sk_c11 != inverse(sk_c10)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f116,f125]) ).
fof(f547,definition,
( spl0_26
<=> sk_c11 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f548,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f549,plain,
( sk_c11 != inverse(sk_c10)
| spl0_26 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f551,definition,
( spl0_27
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f552,plain,
( sk_c10 = sk_c9
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f554,plain,
( ~ spl0_26
| ~ spl0_27
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f545,f124,f115,f551,f547]) ).
fof(f563,definition,
( spl0_29
<=> sk_c10 = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f564,plain,
( sk_c10 = sk_c11
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f563]) ).
fof(f571,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f454,f381]) ).
fof(f574,plain,
( sk_c2 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f247,f571]) ).
fof(f580,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c11,sk_c9)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f463,f340]) ).
fof(f588,plain,
( sk_c11 = multiply(sk_c11,sk_c9)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f580,f199]) ).
fof(f596,plain,
( multiply(sk_c9,sk_c3) = multiply(sk_c10,identity)
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f538,f234]) ).
fof(f604,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c9,sk_c3)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f596,f381]) ).
fof(f606,plain,
( sk_c10 = multiply(sk_c9,sk_c3)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f604,f340]) ).
fof(f687,plain,
( sk_c10 = sk_c3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f535,f606]) ).
fof(f698,plain,
( sk_c11 = sk_c2
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f574,f537]) ).
fof(f701,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f135,f698]) ).
fof(f702,plain,
( sk_c10 = inverse(sk_c11)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f185,f698]) ).
fof(f711,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f175,f687]) ).
fof(f712,plain,
( spl0_26
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f711,f173,f168,f163,f124,f547]) ).
fof(f750,plain,
( sk_c10 = sk_c11
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f588,f701]) ).
fof(f761,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f750,f197,f183,f168,f163,f133,f124,f563]) ).
fof(f768,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c10)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0))
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl0_1
| ~ spl0_20 ),
inference(superposition,[],[f110,f213]) ).
fof(f770,plain,
( ! [X0] :
( identity != sk_c11
| inverse(X0) != multiply(X0,inverse(sk_c10))
| inverse(inverse(X0)) != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,inverse(sk_c10)) )
| ~ spl0_1 ),
inference(superposition,[],[f110,f3]) ).
fof(f771,plain,
( ! [X0] :
( sk_c11 != sk_c9
| inverse(X0) != multiply(X0,inverse(sk_c10))
| inverse(inverse(X0)) != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,inverse(sk_c10)) )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f770,f381]) ).
fof(f790,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != sk_c9
| inverse(inverse(X0)) != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,inverse(sk_c10)) )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_26 ),
inference(forward_demodulation,[],[f771,f548]) ).
fof(f800,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != sk_c9
| sk_c11 != multiply(sk_c10,inverse(sk_c10)) )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_26 ),
inference(forward_demodulation,[],[f790,f548]) ).
fof(f806,definition,
( spl0_35
<=> ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f807,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f809,definition,
( spl0_36
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f810,plain,
( sk_c11 = sk_c9
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f820,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c10,sk_c11)
| sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != sk_c9 )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_26 ),
inference(forward_demodulation,[],[f800,f548]) ).
fof(f824,plain,
( ! [X0] :
( sk_c11 != sk_c9
| sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != sk_c9 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_26 ),
inference(forward_demodulation,[],[f820,f125]) ).
fof(f832,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(superposition,[],[f464,f564]) ).
fof(f838,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_29 ),
inference(superposition,[],[f702,f564]) ).
fof(f868,plain,
( sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(superposition,[],[f541,f832]) ).
fof(f869,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c11,sk_c10)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(superposition,[],[f463,f832]) ).
fof(f885,plain,
( sk_c10 = sk_c9
| ~ spl0_29
| ~ spl0_36 ),
inference(forward_demodulation,[],[f810,f564]) ).
fof(f891,plain,
( spl0_27
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f868,f563,f211,f197,f183,f133,f551]) ).
fof(f892,plain,
( spl0_27
| ~ spl0_29
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f885,f809,f563,f551]) ).
fof(f902,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_6
| ~ spl0_27 ),
inference(superposition,[],[f537,f552]) ).
fof(f918,plain,
( identity = sk_c11
| ~ spl0_6
| ~ spl0_27 ),
inference(forward_demodulation,[],[f902,f3]) ).
fof(f925,plain,
( sk_c10 != sk_c11
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| spl0_26
| ~ spl0_29 ),
inference(forward_demodulation,[],[f549,f838]) ).
fof(f928,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c10,sk_c10)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0))
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl0_1
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f768,f564]) ).
fof(f929,plain,
( ! [X0] :
( sk_c10 != sk_c11
| inverse(X0) != multiply(X0,inverse(sk_c10))
| inverse(inverse(X0)) != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,inverse(sk_c10)) )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(forward_demodulation,[],[f771,f552]) ).
fof(f932,plain,
( multiply(sk_c1,sk_c10) = multiply(sk_c10,sk_c10)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f869,f564]) ).
fof(f934,plain,
( $false
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| spl0_26
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f925,f564]) ).
fof(f935,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| spl0_26
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f936,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0))
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f928,f832]) ).
fof(f937,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(sk_c10))
| inverse(inverse(X0)) != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,inverse(sk_c10)) )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f929,f564]) ).
fof(f940,plain,
( sk_c9 = multiply(sk_c1,sk_c10)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f932,f541]) ).
fof(f943,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c11 != inverse(inverse(X0))
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f936,f564]) ).
fof(f944,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| inverse(inverse(X0)) != inverse(sk_c10)
| sk_c11 != multiply(sk_c10,inverse(sk_c10)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f937,f838]) ).
fof(f947,plain,
( sk_c11 = sk_c9
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f940,f199]) ).
fof(f948,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10)
| sk_c11 != multiply(sk_c1,sk_c11) )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f943,f564]) ).
fof(f949,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10)
| sk_c11 != multiply(sk_c10,inverse(sk_c10)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f944,f838]) ).
fof(f953,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c1,sk_c10)
| sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f948,f564]) ).
fof(f954,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c10,sk_c10)
| sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f949,f838]) ).
fof(f956,plain,
( ! [X0] :
( sk_c10 != sk_c11
| sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f953,f199]) ).
fof(f957,plain,
( ! [X0] :
( sk_c11 != sk_c9
| sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f954,f541]) ).
fof(f958,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f956,f564]) ).
fof(f959,plain,
( ! [X0] :
( sk_c10 != sk_c11
| sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f957,f552]) ).
fof(f960,plain,
( spl0_35
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f958,f563,f211,f197,f109,f806]) ).
fof(f961,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f959,f564]) ).
fof(f962,plain,
( spl0_35
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f961,f563,f551,f183,f168,f163,f133,f124,f109,f806]) ).
fof(f964,plain,
( ! [X0] :
( sk_c11 != sk_c9
| sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_26 ),
inference(duplicate_literal_removal,[],[f824]) ).
fof(f975,plain,
( ! [X0] :
( sk_c10 != sk_c11
| sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f964,f552]) ).
fof(f990,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f975,f564]) ).
fof(f1005,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f990,f564]) ).
fof(f1015,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1005,f564]) ).
fof(f1024,plain,
( spl0_35
| ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1015,f563,f551,f547,f168,f163,f124,f109,f806]) ).
fof(f1038,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_14
| ~ spl0_35 ),
inference(superposition,[],[f807,f165]) ).
fof(f1042,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_18
| ~ spl0_35 ),
inference(superposition,[],[f807,f185]) ).
fof(f1055,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_29
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1038,f838]) ).
fof(f1061,plain,
( sk_c10 != sk_c9
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_29
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1055,f170]) ).
fof(f1066,plain,
( $false
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1061,f552]) ).
fof(f1067,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1066]) ).
fof(f1072,plain,
( ! [X1] :
( sk_c10 != inverse(X1)
| sk_c10 != multiply(X1,sk_c10) )
| ~ spl0_4
| ~ spl0_27 ),
inference(forward_demodulation,[],[f119,f552]) ).
fof(f1078,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_27 ),
inference(superposition,[],[f1072,f165]) ).
fof(f1084,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1078]) ).
fof(f1090,plain,
( sk_c10 != sk_c9
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1084,f170]) ).
fof(f1096,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1090,f552]) ).
fof(f1097,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1104,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c10) )
| ~ spl0_2
| ~ spl0_27 ),
inference(forward_demodulation,[],[f113,f552]) ).
fof(f1107,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_2
| ~ spl0_14
| ~ spl0_27 ),
inference(superposition,[],[f1104,f165]) ).
fof(f1110,plain,
( sk_c10 != sk_c11
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_2
| ~ spl0_20
| ~ spl0_27 ),
inference(superposition,[],[f1104,f213]) ).
fof(f1113,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_2
| ~ spl0_14
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1107]) ).
fof(f1117,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_2
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1110,f564]) ).
fof(f1119,plain,
( sk_c10 != sk_c9
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1113,f170]) ).
fof(f1124,plain,
( sk_c10 != sk_c11
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1117,f199]) ).
fof(f1125,plain,
( $false
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1119,f552]) ).
fof(f1126,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1125]) ).
fof(f1131,plain,
( $false
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1124,f564]) ).
fof(f1132,plain,
( ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1131]) ).
fof(f1133,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| sk_c11 != multiply(X0,sk_c10) )
| ~ spl0_5
| ~ spl0_29 ),
inference(forward_demodulation,[],[f122,f564]) ).
fof(f1134,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c10) )
| ~ spl0_5
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1133,f564]) ).
fof(f1137,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_29 ),
inference(superposition,[],[f1134,f165]) ).
fof(f1140,plain,
( sk_c10 != sk_c11
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_5
| ~ spl0_20
| ~ spl0_29 ),
inference(superposition,[],[f1134,f213]) ).
fof(f1143,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1137]) ).
fof(f1147,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_5
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1140,f564]) ).
fof(f1149,plain,
( sk_c10 != sk_c9
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1143,f170]) ).
fof(f1154,plain,
( sk_c10 != sk_c11
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1147,f199]) ).
fof(f1155,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1149,f552]) ).
fof(f1156,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1161,plain,
( $false
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1154,f564]) ).
fof(f1162,plain,
( ~ spl0_5
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1161]) ).
fof(f1169,definition,
( spl0_41
<=> sk_c11 = multiply(sk_c11,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f1170,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1182,definition,
( spl0_44
<=> identity = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f1183,plain,
( identity = sk_c11
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1188,plain,
( spl0_44
| ~ spl0_6
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f918,f551,f124,f1182]) ).
fof(f1231,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_41 ),
inference(superposition,[],[f247,f1170]) ).
fof(f1233,plain,
( identity = sk_c10
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1231,f3]) ).
fof(f1247,plain,
( sk_c11 = multiply(sk_c11,sk_c1)
| ~ spl0_20
| ~ spl0_44 ),
inference(forward_demodulation,[],[f457,f1183]) ).
fof(f1258,plain,
( sk_c1 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_20
| ~ spl0_44 ),
inference(superposition,[],[f247,f1247]) ).
fof(f1260,plain,
( identity = sk_c1
| ~ spl0_20
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1258,f3]) ).
fof(f1262,plain,
( sk_c11 = sk_c1
| ~ spl0_20
| ~ spl0_44 ),
inference(forward_demodulation,[],[f1260,f1183]) ).
fof(f1268,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_44 ),
inference(superposition,[],[f199,f1262]) ).
fof(f1279,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c2,sk_c9)
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f119,f185]) ).
fof(f1280,plain,
( sk_c10 != multiply(sk_c2,sk_c9)
| ~ spl0_4
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1279]) ).
fof(f1297,plain,
( spl0_27
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f384,f178,f173,f168,f163,f551]) ).
fof(f1301,plain,
( spl0_41
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f264,f178,f173,f1169]) ).
fof(f1302,plain,
( ~ spl0_8
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1280,f183,f118,f133]) ).
fof(f1347,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_14 ),
inference(superposition,[],[f3,f165]) ).
fof(f1382,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c10,X0))
| ~ spl0_41 ),
inference(superposition,[],[f4,f1170]) ).
fof(f1385,plain,
( sk_c10 = multiply(sk_c10,sk_c2)
| ~ spl0_18
| ~ spl0_41 ),
inference(forward_demodulation,[],[f454,f1233]) ).
fof(f1388,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1347,f1233]) ).
fof(f1400,plain,
( sk_c2 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_18
| ~ spl0_41 ),
inference(superposition,[],[f247,f1385]) ).
fof(f1402,plain,
( identity = sk_c2
| ~ spl0_18
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1400,f3]) ).
fof(f1404,plain,
( sk_c10 = sk_c2
| ~ spl0_18
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1402,f1233]) ).
fof(f1407,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_18
| ~ spl0_41 ),
inference(superposition,[],[f185,f1404]) ).
fof(f1411,plain,
( sk_c10 != sk_c11
| ~ spl0_18
| spl0_26
| ~ spl0_41 ),
inference(superposition,[],[f549,f1407]) ).
fof(f1422,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_14
| ~ spl0_41 ),
inference(superposition,[],[f247,f1388]) ).
fof(f1424,plain,
( identity = sk_c4
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1422,f3]) ).
fof(f1426,plain,
( sk_c10 = sk_c4
| ~ spl0_14
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1424,f1233]) ).
fof(f1431,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_14
| spl0_15
| ~ spl0_41 ),
inference(superposition,[],[f169,f1426]) ).
fof(f1471,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_8
| ~ spl0_18 ),
inference(superposition,[],[f247,f541]) ).
fof(f1491,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c11),multiply(sk_c11,X0))
| ~ spl0_41 ),
inference(superposition,[],[f247,f1382]) ).
fof(f1494,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1491,f247]) ).
fof(f1537,plain,
( sk_c10 = sk_c9
| ~ spl0_8
| ~ spl0_18
| ~ spl0_41 ),
inference(superposition,[],[f1494,f541]) ).
fof(f1722,plain,
( sk_c10 = sk_c11
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18 ),
inference(superposition,[],[f537,f1471]) ).
fof(f1734,plain,
( spl0_36
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f947,f563,f211,f197,f183,f133,f809]) ).
fof(f1740,definition,
( spl0_55
<=> sk_c10 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f1744,definition,
( spl0_56
<=> sk_c10 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f1747,plain,
( ~ spl0_55
| ~ spl0_56
| ~ spl0_18
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1042,f806,f183,f1744,f1740]) ).
fof(f1756,plain,
( spl0_27
| ~ spl0_8
| ~ spl0_18
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1537,f1169,f183,f133,f551]) ).
fof(f1757,plain,
( spl0_56
| ~ spl0_18
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1407,f1169,f183,f1744]) ).
fof(f1758,plain,
( ~ spl0_29
| ~ spl0_18
| spl0_26
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1411,f1169,f547,f183,f563]) ).
fof(f1760,plain,
( $false
| ~ spl0_8
| ~ spl0_14
| spl0_15
| ~ spl0_18
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1431,f541]) ).
fof(f1761,plain,
( ~ spl0_8
| ~ spl0_14
| spl0_15
| ~ spl0_18
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f1760]) ).
fof(f1766,plain,
( spl0_41
| ~ spl0_19
| ~ spl0_20
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f1268,f1182,f211,f197,f1169]) ).
fof(f1771,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1722,f183,f133,f124,f563]) ).
fof(f1819,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f475,f178,f173,f168,f163,f124,f563]) ).
fof(f1844,plain,
( spl0_56
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f394,f178,f173,f163,f1744]) ).
fof(f1987,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_8
| ~ spl0_27 ),
inference(superposition,[],[f135,f552]) ).
fof(f1993,plain,
( spl0_55
| ~ spl0_8
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1987,f551,f133,f1740]) ).
fof(f2098,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_14
| ~ spl0_35 ),
inference(superposition,[],[f807,f165]) ).
fof(f2109,plain,
( sk_c10 != sk_c9
| sk_c10 != inverse(sk_c10)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_35 ),
inference(forward_demodulation,[],[f2098,f170]) ).
fof(f2116,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f2109,f552]) ).
fof(f2123,plain,
( ~ spl0_56
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f2116,f806,f551,f168,f163,f1744]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f127]) ).
cnf(s8,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f166]) ).
cnf(s9,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f171]) ).
cnf(s10,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f176]) ).
cnf(s11,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f181]) ).
cnf(s18,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f192]) ).
cnf(s19,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f193]) ).
cnf(s20,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f194]) ).
cnf(s21,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f195]) ).
cnf(s28,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f206]) ).
cnf(s29,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f207]) ).
cnf(s30,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f208]) ).
cnf(s31,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f209]) ).
cnf(s38,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f220]) ).
cnf(s39,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f221]) ).
cnf(s40,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f222]) ).
cnf(s41,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f223]) ).
cnf(s46,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f228]) ).
cnf(s47,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f229]) ).
cnf(s48,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f230]) ).
cnf(s49,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f231]) ).
cnf(s50,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f232]) ).
cnf(s51,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f233]) ).
cnf(s52,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f415]) ).
cnf(s58,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f514]) ).
cnf(s62,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f532]) ).
cnf(s64,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f554]) ).
cnf(s68,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_26 ),
inference(sat_conversion,[],[f712]) ).
cnf(s72,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| spl0_29 ),
inference(sat_conversion,[],[f761]) ).
cnf(s87,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f891]) ).
cnf(s89,plain,
( spl0_27
| ~ spl0_29
| ~ spl0_36 ),
inference(sat_conversion,[],[f892]) ).
cnf(s94,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| spl0_26
| ~ spl0_29 ),
inference(sat_conversion,[],[f935]) ).
cnf(s98,plain,
( ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29
| spl0_35 ),
inference(sat_conversion,[],[f960]) ).
cnf(s99,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29
| spl0_35 ),
inference(sat_conversion,[],[f962]) ).
cnf(s106,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29
| spl0_35 ),
inference(sat_conversion,[],[f1024]) ).
cnf(s117,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29
| ~ spl0_35 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s122,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(sat_conversion,[],[f1097]) ).
cnf(s128,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(sat_conversion,[],[f1126]) ).
cnf(s131,plain,
( ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s134,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f1156]) ).
cnf(s137,plain,
( ~ spl0_5
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(sat_conversion,[],[f1162]) ).
cnf(s140,plain,
( ~ spl0_6
| ~ spl0_27
| spl0_44 ),
inference(sat_conversion,[],[f1188]) ).
cnf(s166,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| spl0_27 ),
inference(sat_conversion,[],[f1297]) ).
cnf(s170,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_41 ),
inference(sat_conversion,[],[f1301]) ).
cnf(s171,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_18 ),
inference(sat_conversion,[],[f1302]) ).
cnf(s217,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29
| spl0_36 ),
inference(sat_conversion,[],[f1734]) ).
cnf(s219,plain,
( ~ spl0_18
| ~ spl0_35
| ~ spl0_55
| ~ spl0_56 ),
inference(sat_conversion,[],[f1747]) ).
cnf(s224,plain,
( ~ spl0_8
| ~ spl0_18
| spl0_27
| ~ spl0_41 ),
inference(sat_conversion,[],[f1756]) ).
cnf(s226,plain,
( ~ spl0_18
| ~ spl0_41
| spl0_56 ),
inference(sat_conversion,[],[f1757]) ).
cnf(s227,plain,
( ~ spl0_18
| spl0_26
| ~ spl0_29
| ~ spl0_41 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s229,plain,
( ~ spl0_8
| ~ spl0_14
| spl0_15
| ~ spl0_18
| ~ spl0_41 ),
inference(sat_conversion,[],[f1761]) ).
cnf(s232,plain,
( ~ spl0_19
| ~ spl0_20
| spl0_41
| ~ spl0_44 ),
inference(sat_conversion,[],[f1766]) ).
cnf(s237,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| spl0_29 ),
inference(sat_conversion,[],[f1771]) ).
cnf(s271,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| spl0_29 ),
inference(sat_conversion,[],[f1819]) ).
cnf(s296,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_17
| spl0_56 ),
inference(sat_conversion,[],[f1844]) ).
cnf(s356,plain,
( ~ spl0_8
| ~ spl0_27
| spl0_55 ),
inference(sat_conversion,[],[f1993]) ).
cnf(s384,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_27
| ~ spl0_35
| ~ spl0_56 ),
inference(sat_conversion,[],[f2123]) ).
cnf(s390,plain,
spl0_6,
inference(rat,[],[s52,s46,s47,s48,s49,s50,s51]) ).
cnf(s391,plain,
( spl0_8
| ~ spl0_5 ),
inference(rat,[],[s134,s166,s271,s8,s9,s10,s11,s390]) ).
cnf(s392,plain,
( ~ spl0_17
| ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_5 ),
inference(rat,[],[s134,s166,s271,s390]) ).
cnf(s393,plain,
( spl0_17
| ~ spl0_15
| ~ spl0_14
| ~ spl0_5 ),
inference(rat,[],[s72,s137,s21,s31,s41,s391,s390]) ).
cnf(s394,plain,
( ~ spl0_15
| ~ spl0_14
| ~ spl0_5 ),
inference(rat,[],[s72,s137,s20,s30,s40,s392,s393,s391,s390]) ).
cnf(s395,plain,
( spl0_15
| ~ spl0_5 ),
inference(rat,[],[s237,s137,s19,s29,s39,s391,s390]) ).
cnf(s396,plain,
~ spl0_5,
inference(rat,[],[s237,s137,s18,s28,s38,s394,s395,s391,s390]) ).
cnf(s397,plain,
( spl0_18
| spl0_27
| ~ spl0_15
| ~ spl0_14 ),
inference(rat,[],[s166,s20,s21]) ).
cnf(s398,plain,
( ~ spl0_15
| ~ spl0_14
| ~ spl0_4 ),
inference(rat,[],[s166,s10,s11,s171,s397,s122]) ).
cnf(s399,plain,
( spl0_15
| ~ spl0_4 ),
inference(rat,[],[s171,s9,s19]) ).
cnf(s400,plain,
( ~ spl0_15
| ~ spl0_4 ),
inference(rat,[],[s171,s8,s18,s398]) ).
cnf(s401,plain,
~ spl0_4,
inference(rat,[],[s400,s399]) ).
cnf(s402,plain,
( spl0_18
| ~ spl0_15
| ~ spl0_14
| ~ spl0_3 ),
inference(rat,[],[s62,s20,s21,s390]) ).
cnf(s403,plain,
( spl0_17
| spl0_36
| ~ spl0_8
| ~ spl0_18 ),
inference(rat,[],[s217,s31,s41,s237,s390]) ).
cnf(s404,plain,
( ~ spl0_8
| ~ spl0_15
| ~ spl0_14
| ~ spl0_3 ),
inference(rat,[],[s217,s30,s40,s58,s403,s89,s64,s94,s237,s402,s390]) ).
cnf(s405,plain,
( ~ spl0_15
| ~ spl0_14
| ~ spl0_3 ),
inference(rat,[],[s62,s10,s11,s404,s390]) ).
cnf(s406,plain,
( ~ spl0_14
| ~ spl0_3 ),
inference(rat,[],[s140,s232,s87,s229,s237,s9,s19,s29,s39,s405,s390]) ).
cnf(s407,plain,
~ spl0_3,
inference(rat,[],[s227,s232,s64,s140,s87,s237,s8,s18,s28,s38,s406,s390]) ).
cnf(s408,plain,
( ~ spl0_8
| spl0_27
| ~ spl0_18 ),
inference(rat,[],[s87,s30,s40,s170,s403,s89,s237,s224,s390]) ).
cnf(s409,plain,
( spl0_27
| ~ spl0_15
| ~ spl0_14 ),
inference(rat,[],[s166,s10,s11,s408,s397]) ).
cnf(s410,plain,
( ~ spl0_15
| ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s409,s128]) ).
cnf(s411,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s140,s408,s232,s229,s9,s19,s29,s39,s410,s390]) ).
cnf(s412,plain,
~ spl0_2,
inference(rat,[],[s131,s237,s408,s8,s18,s28,s38,s411,s390]) ).
cnf(s413,plain,
spl0_1,
inference(rat,[],[s1,s396,s407,s390,s401,s412]) ).
cnf(s414,plain,
( ~ spl0_29
| ~ spl0_18
| ~ spl0_27
| ~ spl0_14
| ~ spl0_15
| ~ spl0_8 ),
inference(rat,[],[s117,s99,s413,s390]) ).
cnf(s415,plain,
( ~ spl0_18
| ~ spl0_8
| ~ spl0_15
| ~ spl0_14 ),
inference(rat,[],[s414,s237,s409,s390]) ).
cnf(s416,plain,
( spl0_18
| ~ spl0_15
| ~ spl0_14 ),
inference(rat,[],[s384,s106,s271,s296,s68,s20,s21,s409,s413,s390]) ).
cnf(s417,plain,
( ~ spl0_15
| ~ spl0_14 ),
inference(rat,[],[s384,s106,s271,s296,s68,s10,s11,s415,s416,s409,s390,s413]) ).
cnf(s418,plain,
~ spl0_14,
inference(rat,[],[s140,s232,s408,s229,s9,s19,s29,s39,s417,s390]) ).
cnf(s419,plain,
spl0_20,
inference(rat,[],[s38,s418]) ).
cnf(s420,plain,
spl0_19,
inference(rat,[],[s28,s418]) ).
cnf(s421,plain,
spl0_18,
inference(rat,[],[s18,s418]) ).
cnf(s422,plain,
spl0_8,
inference(rat,[],[s8,s418]) ).
cnf(s423,plain,
spl0_27,
inference(rat,[],[s408,s421,s422]) ).
cnf(s424,plain,
spl0_55,
inference(rat,[],[s356,s423,s422]) ).
cnf(s425,plain,
spl0_29,
inference(rat,[],[s237,s421,s390,s422]) ).
cnf(s426,plain,
spl0_44,
inference(rat,[],[s140,s390,s423]) ).
cnf(s429,plain,
spl0_35,
inference(rat,[],[s98,s413,s420,s419,s425]) ).
cnf(s431,plain,
spl0_41,
inference(rat,[],[s232,s420,s419,s426]) ).
cnf(s433,plain,
~ spl0_56,
inference(rat,[],[s219,s424,s421,s429]) ).
cnf(s435,plain,
$false,
inference(rat,[],[s226,s421,s433,s431]) ).
fof(f2140,plain,
$false,
inference(avatar_sat_refutation,[],[s435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP340-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n018.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:56:39 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.23/1.32 % (2088863)Input is clausal, will run a generic CNF schedule.
% 3.23/1.32 % (2088869)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3193944930:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.23/1.32 % (2088871)lrs+10_1_sil=8000:sp=occurrence:random_seed=3279863980:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.23/1.32 % (2088868)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=764454197:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.23/1.32 % (2088872)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1311520907:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.23/1.32 % (2088870)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2483005241:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.23/1.32 % (2088873)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=289510495:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.23/1.32 % (2088871)Refutation not found, incomplete strategy
% 3.23/1.32 % (2088871)------------------------------
% 3.23/1.32 % (2088871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.32 % (2088871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.32 % (2088871)CaDiCaL version: 2.1.3
% 3.23/1.32 % (2088871)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.32 % (2088871)Time elapsed: 0.004 s
% 3.23/1.32 % (2088871)Peak memory usage: 88 MB
% 3.23/1.32 % (2088871)Instructions burned: 5 (million)
% 3.23/1.32 % (2088874)dis-21_1_sil=8000:lcm=predicate:random_seed=3676478722:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.23/1.32 % (2088874)Refutation not found, incomplete strategy
% 3.23/1.32 % (2088874)------------------------------
% 3.23/1.32 % (2088874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.32 % (2088874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.32 % (2088874)CaDiCaL version: 2.1.3
% 3.23/1.32 % (2088874)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.32 % (2088874)Time elapsed: 0.002 s
% 3.23/1.32 % (2088874)Peak memory usage: 88 MB
% 3.23/1.32 % (2088874)Instructions burned: 2 (million)
% 3.23/1.32 % (2088873)First to succeed.
% 3.23/1.32 % (2088873)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2088863"
% 3.23/1.32 % (2088872)Instruction limit reached!
% 3.23/1.32 % (2088872)------------------------------
% 3.23/1.32 % (2088872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.32 % (2088872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.32 % (2088872)CaDiCaL version: 2.1.3
% 3.23/1.32 % (2088872)Termination reason: Instruction limit
% 3.23/1.32 % (2088872)Termination phase: Saturation
% 3.23/1.32 % (2088872)Time elapsed: 0.065 s
% 3.23/1.32 % (2088872)Peak memory usage: 89 MB
% 3.23/1.32 % (2088872)Instructions burned: 114 (million)
% 3.23/1.32 % (2088882)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2664691781:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.23/1.32 % (2088882)Refutation not found, incomplete strategy
% 3.23/1.32 % (2088882)------------------------------
% 3.23/1.32 % (2088882)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.32 % (2088882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.32 % (2088882)CaDiCaL version: 2.1.3
% 3.23/1.32 % (2088882)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.32 % (2088882)Time elapsed: 0.004 s
% 3.23/1.32 % (2088882)Peak memory usage: 88 MB
% 3.23/1.32 % (2088882)Instructions burned: 5 (million)
% 3.23/1.32 % (2088871)------------------------------
% 3.23/1.32 % (2088871)------------------------------
% 3.23/1.32 % (2088874)------------------------------
% 3.23/1.32 % (2088874)------------------------------
% 3.23/1.32 % (2088873)Refutation found. Thanks to Tanya!
% 3.23/1.32 % SZS status Unsatisfiable for theBenchmark
% 3.23/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.51 % (2088873)------------------------------
% 3.83/1.51 % (2088873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.51 % (2088873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.51 % (2088873)CaDiCaL version: 2.1.3
% 3.83/1.51 % (2088873)Termination reason: Refutation
% 3.83/1.51 % (2088873)Time elapsed: 0.048 s
% 3.83/1.51 % (2088873)Peak memory usage: 90 MB
% 3.83/1.51 % (2088873)Instructions burned: 76 (million)
% 3.83/1.51 % (2088873)------------------------------
% 3.83/1.51 % (2088873)------------------------------
% 3.83/1.51 % (2088863)Success in time 0.453 s
% 3.83/1.51 % Vampire exiting
%------------------------------------------------------------------------------