%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP373-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 10:13:47 AM UTC 2026
% Result : Unsatisfiable 2.10s 1.31s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 45
% Syntax : Number of formulae : 309 ( 18 unt; 23 def)
% Number of atoms : 1120 ( 352 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 1602 ( 791 ~; 788 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( inverse(sk_c11) = sk_c10
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f10]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c10 = multiply(sk_c1,sk_c11)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c10 = multiply(sk_c1,sk_c11)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f43,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f63,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f73]) ).
fof(f83,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f85]) ).
fof(f103,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f104,plain,
( sk_c9 = inverse(sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f106,plain,
( sk_c9 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f105]) ).
fof(f123,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| multiply(sk_c11,sk_c9) != sk_c10
| multiply(X1,sk_c9) != sk_c10
| inverse(X1) != sk_c9
| 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/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f124,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| 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,[],[f123]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X6,X7,X4] :
( inverse(sk_c11) != sk_c10
| sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| 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,[],[f124]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X6,X4] :
( inverse(sk_c11) != sk_c10
| sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| 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,[],[f125]) ).
fof(f128,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(f129,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,[],[f128]) ).
fof(f131,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f132,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,definition,
( spl0_3
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f135,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,definition,
( spl0_4
<=> ! [X1] :
( sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f138,plain,
( ! [X1] :
( sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f140,definition,
( spl0_5
<=> sk_c10 = multiply(sk_c11,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f141,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f142,plain,
( sk_c10 != multiply(sk_c11,sk_c9)
| spl0_5 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f144,definition,
( spl0_6
<=> inverse(sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f145,plain,
( inverse(sk_c11) = sk_c10
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( inverse(sk_c11) != sk_c10
| spl0_6 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f126,f144,f134,f140,f137,f134,f131,f128]) ).
fof(f153,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f155,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f173,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f175,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f178,definition,
( spl0_13
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f180,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f183,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f185,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f188,definition,
( spl0_15
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f190,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f193,definition,
( spl0_16
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f195,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f196,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f106,f153,f193]) ).
fof(f198,definition,
( spl0_17
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f200,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f201,plain,
( spl0_17
| spl0_8 ),
inference(avatar_split_clause,[],[f104,f153,f198]) ).
fof(f203,definition,
( spl0_18
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f205,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f214,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f86,f203,f193]) ).
fof(f215,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f84,f203,f198]) ).
fof(f220,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f74,f140,f173]) ).
fof(f221,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f72,f140,f178]) ).
fof(f222,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f70,f140,f183]) ).
fof(f223,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f68,f140,f188]) ).
fof(f224,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f66,f140,f193]) ).
fof(f225,plain,
( spl0_17
| spl0_5 ),
inference(avatar_split_clause,[],[f64,f140,f198]) ).
fof(f227,definition,
( spl0_19
<=> sk_c11 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f229,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f238,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f46,f227,f193]) ).
fof(f239,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f44,f227,f198]) ).
fof(f241,definition,
( spl0_20
<=> sk_c10 = multiply(sk_c1,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f243,plain,
( sk_c10 = multiply(sk_c1,sk_c11)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f252,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f26,f241,f193]) ).
fof(f253,plain,
( spl0_17
| spl0_20 ),
inference(avatar_split_clause,[],[f24,f241,f198]) ).
fof(f260,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f11,f144,f183]) ).
fof(f261,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f144,f188]) ).
fof(f262,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f144,f193]) ).
fof(f263,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f144,f198]) ).
fof(f264,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f3,f195]) ).
fof(f265,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_14 ),
inference(superposition,[],[f3,f185]) ).
fof(f271,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f272,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl0_17 ),
inference(superposition,[],[f4,f200]) ).
fof(f277,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f271,f1]) ).
fof(f280,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f264]) ).
fof(f281,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f280,f1]) ).
fof(f294,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f281,f200]) ).
fof(f303,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f272,f294]) ).
fof(f305,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f303,f200]) ).
fof(f343,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f277,f294]) ).
fof(f344,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_14 ),
inference(superposition,[],[f277,f265]) ).
fof(f348,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_15 ),
inference(superposition,[],[f277,f190]) ).
fof(f351,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_13 ),
inference(superposition,[],[f277,f180]) ).
fof(f368,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f351,f175]) ).
fof(f371,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f348,f185]) ).
fof(f375,plain,
( identity = sk_c10
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f343,f3]) ).
fof(f389,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f277,f368]) ).
fof(f391,plain,
( identity = sk_c11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f389,f3]) ).
fof(f394,plain,
( sk_c11 = sk_c10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f391,f375]) ).
fof(f399,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f277,f371]) ).
fof(f401,plain,
( identity = sk_c9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f399,f3]) ).
fof(f404,plain,
( sk_c10 = sk_c9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f401,f375]) ).
fof(f407,plain,
( sk_c10 != multiply(sk_c11,sk_c10)
| spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f142,f404]) ).
fof(f408,plain,
( sk_c11 != sk_c10
| spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f407,f294]) ).
fof(f410,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f344,f375]) ).
fof(f411,plain,
( identity = sk_c4
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f410,f3]) ).
fof(f412,plain,
( sk_c10 = sk_c4
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f411,f375]) ).
fof(f416,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f185,f412]) ).
fof(f422,plain,
( $false
| spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f394,f408]) ).
fof(f423,plain,
( spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f422]) ).
fof(f424,plain,
( sk_c10 = multiply(sk_c11,sk_c10)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f141,f404]) ).
fof(f425,plain,
( sk_c11 = sk_c10
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f424,f294]) ).
fof(f448,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_5
| spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f146,f425]) ).
fof(f502,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f416,f425]) ).
fof(f503,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f502,f448]) ).
fof(f504,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f856,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl0_6 ),
inference(superposition,[],[f3,f145]) ).
fof(f857,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f856,f375]) ).
fof(f867,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c10)
| ~ spl0_5 ),
inference(superposition,[],[f277,f141]) ).
fof(f961,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f867,f145]) ).
fof(f962,plain,
( sk_c10 = sk_c9
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f961,f305]) ).
fof(f963,plain,
( sk_c10 = multiply(sk_c11,sk_c10)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f141,f962]) ).
fof(f965,plain,
( sk_c11 = sk_c10
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f963,f294]) ).
fof(f990,plain,
( ! [X2] :
( sk_c11 != inverse(X2)
| sk_c11 != multiply(X2,sk_c11) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f135,f965]) ).
fof(f994,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f990,f195]) ).
fof(f999,plain,
( sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f994]) ).
fof(f1012,plain,
( sk_c11 != sk_c10
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f999,f200]) ).
fof(f1015,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1012,f965]) ).
fof(f1016,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1019,plain,
( ! [X6,X4] :
( sk_c11 != multiply(inverse(X4),sk_c11)
| sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f129,f965]) ).
fof(f1026,plain,
( ! [X0] :
( identity != sk_c11
| sk_c11 != multiply(sk_c11,inverse(sk_c11))
| inverse(X0) != multiply(X0,inverse(sk_c11))
| inverse(sk_c11) != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1019,f3]) ).
fof(f1029,plain,
( ! [X0] :
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c11,inverse(sk_c11))
| inverse(X0) != multiply(X0,inverse(sk_c11))
| inverse(sk_c11) != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1026,f375]) ).
fof(f1054,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,inverse(sk_c11))
| inverse(X0) != multiply(X0,inverse(sk_c11))
| inverse(sk_c11) != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1029,f965]) ).
fof(f1057,definition,
( spl0_28
<=> ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f1058,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f1060,definition,
( spl0_29
<=> sk_c11 = multiply(sk_c11,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f1061,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1066,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c10)
| inverse(X0) != multiply(X0,inverse(sk_c11))
| inverse(sk_c11) != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1054,f145]) ).
fof(f1070,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,inverse(sk_c11))
| inverse(sk_c11) != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1066,f294]) ).
fof(f1073,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| inverse(sk_c11) != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1070,f145]) ).
fof(f1076,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| inverse(sk_c11) != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1073,f965]) ).
fof(f1078,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1076,f145]) ).
fof(f1080,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1078,f965]) ).
fof(f1082,plain,
( spl0_28
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1080,f198,f193,f144,f140,f128,f1057]) ).
fof(f1086,plain,
( sk_c11 != inverse(sk_c11)
| sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_16
| ~ spl0_28 ),
inference(superposition,[],[f1058,f195]) ).
fof(f1088,plain,
( sk_c11 != inverse(sk_c11)
| sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_19
| ~ spl0_28 ),
inference(superposition,[],[f1058,f229]) ).
fof(f1101,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1086,f145]) ).
fof(f1105,plain,
( sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1101,f965]) ).
fof(f1110,plain,
( sk_c11 != sk_c10
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1105,f200]) ).
fof(f1113,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1110,f965]) ).
fof(f1114,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1113]) ).
fof(f1121,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c11)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f132,f965]) ).
fof(f1122,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c11)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1121,f962]) ).
fof(f1123,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c11)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1122,f965]) ).
fof(f1124,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c11) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1123,f965]) ).
fof(f1125,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f857,f965]) ).
fof(f1126,plain,
( spl0_29
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1125,f198,f193,f144,f140,f1060]) ).
fof(f1128,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1124,f195]) ).
fof(f1133,plain,
( sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f1128]) ).
fof(f1138,plain,
( sk_c11 != sk_c10
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1133,f200]) ).
fof(f1141,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1138,f965]) ).
fof(f1142,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1146,plain,
( ! [X1] :
( sk_c10 != multiply(X1,sk_c10)
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f138,f962]) ).
fof(f1147,plain,
( ! [X1] :
( sk_c11 != multiply(X1,sk_c11)
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1146,f965]) ).
fof(f1148,plain,
( ! [X1] :
( sk_c10 != inverse(X1)
| sk_c11 != multiply(X1,sk_c11) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1147,f962]) ).
fof(f1149,plain,
( ! [X1] :
( sk_c11 != inverse(X1)
| sk_c11 != multiply(X1,sk_c11) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1148,f965]) ).
fof(f1156,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1149,f145]) ).
fof(f1168,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1156,f965]) ).
fof(f1172,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1168,f1061]) ).
fof(f1173,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1172]) ).
fof(f1181,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_20 ),
inference(superposition,[],[f277,f243]) ).
fof(f1183,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1181,f229]) ).
fof(f1188,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_19 ),
inference(superposition,[],[f129,f229]) ).
fof(f1193,plain,
( ! [X0] :
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c11,sk_c10)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1188,f243]) ).
fof(f1199,definition,
( spl0_33
<=> sk_c11 = multiply(sk_c11,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f1200,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1227,definition,
( spl0_40
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f1228,plain,
( sk_c11 = sk_c10
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1231,plain,
( spl0_28
| ~ spl0_33
| ~ spl0_40
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1193,f241,f227,f128,f1227,f1199,f1057]) ).
fof(f1260,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_6
| ~ spl0_19
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1088,f145]) ).
fof(f1276,plain,
( sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_6
| ~ spl0_19
| ~ spl0_28
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1260,f1228]) ).
fof(f1281,plain,
( sk_c11 != sk_c10
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20
| ~ spl0_28
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1276,f243]) ).
fof(f1283,plain,
( $false
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20
| ~ spl0_28
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1281,f1228]) ).
fof(f1284,plain,
( ~ spl0_6
| ~ spl0_19
| ~ spl0_20
| ~ spl0_28
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1283]) ).
fof(f1300,definition,
( spl0_43
<=> identity = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f1301,plain,
( identity = sk_c11
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1333,plain,
( spl0_33
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1183,f241,f227,f1199]) ).
fof(f1334,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_33 ),
inference(superposition,[],[f277,f1200]) ).
fof(f1336,plain,
( identity = sk_c10
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1334,f3]) ).
fof(f1365,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_6
| ~ spl0_33 ),
inference(forward_demodulation,[],[f856,f1336]) ).
fof(f1367,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_6
| ~ spl0_33 ),
inference(superposition,[],[f277,f1365]) ).
fof(f1369,plain,
( identity = sk_c11
| ~ spl0_6
| ~ spl0_33 ),
inference(forward_demodulation,[],[f1367,f3]) ).
fof(f1374,plain,
( spl0_43
| ~ spl0_6
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f1369,f1199,f144,f1300]) ).
fof(f1376,plain,
( sk_c11 = sk_c10
| ~ spl0_33
| ~ spl0_43 ),
inference(superposition,[],[f1336,f1301]) ).
fof(f1387,definition,
( spl0_48
<=> sk_c10 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f1388,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f1389,plain,
( sk_c10 != inverse(sk_c10)
| spl0_48 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f1391,plain,
( spl0_40
| ~ spl0_33
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1376,f1300,f1199,f1227]) ).
fof(f1413,plain,
( ! [X2] :
( sk_c11 != inverse(X2)
| sk_c11 != multiply(X2,sk_c11) )
| ~ spl0_3
| ~ spl0_40 ),
inference(forward_demodulation,[],[f135,f1228]) ).
fof(f1423,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_3
| ~ spl0_19
| ~ spl0_40 ),
inference(superposition,[],[f1413,f229]) ).
fof(f1425,plain,
( sk_c11 != multiply(sk_c1,sk_c11)
| ~ spl0_3
| ~ spl0_19
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1423]) ).
fof(f1432,definition,
( spl0_50
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_50])],[avatar_definition]) ).
fof(f1434,plain,
( sk_c11 != sk_c9
| spl0_50 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1436,plain,
( sk_c11 != sk_c10
| ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1425,f243]) ).
fof(f1439,plain,
( $false
| ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1436,f1228]) ).
fof(f1440,plain,
( ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1439]) ).
fof(f1442,plain,
( ! [X1] :
( sk_c9 != inverse(X1)
| sk_c11 != multiply(X1,sk_c9) )
| ~ spl0_4
| ~ spl0_40 ),
inference(forward_demodulation,[],[f138,f1228]) ).
fof(f1443,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_40
| spl0_48 ),
inference(forward_demodulation,[],[f1389,f1228]) ).
fof(f1444,plain,
( sk_c11 != sk_c10
| ~ spl0_6
| ~ spl0_40
| spl0_48 ),
inference(forward_demodulation,[],[f1443,f145]) ).
fof(f1445,plain,
( $false
| ~ spl0_6
| ~ spl0_40
| spl0_48 ),
inference(forward_subsumption_resolution,[],[f1444,f1228]) ).
fof(f1446,plain,
( ~ spl0_6
| ~ spl0_40
| spl0_48 ),
inference(avatar_contradiction_clause,[],[f1445]) ).
fof(f1447,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1388,f1228]) ).
fof(f1452,plain,
( sk_c9 != sk_c9
| sk_c11 != multiply(sk_c2,sk_c9)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_40 ),
inference(superposition,[],[f1442,f155]) ).
fof(f1453,plain,
( sk_c11 != multiply(sk_c2,sk_c9)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1452]) ).
fof(f1454,plain,
( sk_c11 != sk_c10
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1453,f205]) ).
fof(f1471,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1454,f1228]) ).
fof(f1472,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
fof(f1479,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c11)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_40 ),
inference(forward_demodulation,[],[f132,f1228]) ).
fof(f1480,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c11)
| sk_c11 != inverse(X3) )
| ~ spl0_2
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1479,f1228]) ).
fof(f1484,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_40
| ~ spl0_48 ),
inference(superposition,[],[f3,f1447]) ).
fof(f1485,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_33
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1484,f1336]) ).
fof(f1486,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_33
| ~ spl0_40
| ~ spl0_48 ),
inference(forward_demodulation,[],[f1485,f1228]) ).
fof(f1487,plain,
( spl0_29
| ~ spl0_33
| ~ spl0_40
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1486,f1387,f1227,f1199,f1060]) ).
fof(f1492,plain,
( sk_c10 != sk_c9
| sk_c11 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_20
| ~ spl0_40 ),
inference(superposition,[],[f1480,f243]) ).
fof(f1493,plain,
( sk_c10 != sk_c9
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1492,f229]) ).
fof(f1497,plain,
( sk_c11 != sk_c9
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1493,f1228]) ).
fof(f1501,plain,
( ~ spl0_50
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1497,f1227,f241,f227,f131,f1432]) ).
fof(f1531,plain,
( sk_c9 = multiply(sk_c11,sk_c11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_40 ),
inference(forward_demodulation,[],[f961,f1228]) ).
fof(f1532,plain,
( sk_c11 = sk_c9
| ~ spl0_5
| ~ spl0_6
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1531,f1061]) ).
fof(f1533,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_29
| ~ spl0_40
| spl0_50 ),
inference(forward_subsumption_resolution,[],[f1532,f1434]) ).
fof(f1534,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_29
| ~ spl0_40
| spl0_50 ),
inference(avatar_contradiction_clause,[],[f1533]) ).
cnf(s1,plain,
( spl0_3
| spl0_2
| spl0_1
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f147]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s11,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f196]) ).
cnf(s12,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f201]) ).
cnf(s21,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f214]) ).
cnf(s22,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f215]) ).
cnf(s27,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f220]) ).
cnf(s28,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f221]) ).
cnf(s29,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f222]) ).
cnf(s30,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f223]) ).
cnf(s31,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f224]) ).
cnf(s32,plain,
( spl0_5
| spl0_17 ),
inference(sat_conversion,[],[f225]) ).
cnf(s41,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f238]) ).
cnf(s42,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f239]) ).
cnf(s51,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f252]) ).
cnf(s52,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f253]) ).
cnf(s59,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f260]) ).
cnf(s60,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f261]) ).
cnf(s61,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f262]) ).
cnf(s62,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f263]) ).
cnf(s63,plain,
( spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f423]) ).
cnf(s64,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f504]) ).
cnf(s102,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s109,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| spl0_28 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s113,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_28 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s116,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| spl0_29 ),
inference(sat_conversion,[],[f1126]) ).
cnf(s119,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1142]) ).
cnf(s125,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_29 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s131,plain,
( ~ spl0_1
| ~ spl0_19
| ~ spl0_20
| spl0_28
| ~ spl0_33
| ~ spl0_40 ),
inference(sat_conversion,[],[f1231]) ).
cnf(s142,plain,
( ~ spl0_6
| ~ spl0_19
| ~ spl0_20
| ~ spl0_28
| ~ spl0_40 ),
inference(sat_conversion,[],[f1284]) ).
cnf(s149,plain,
( ~ spl0_19
| ~ spl0_20
| spl0_33 ),
inference(sat_conversion,[],[f1333]) ).
cnf(s153,plain,
( ~ spl0_6
| ~ spl0_33
| spl0_43 ),
inference(sat_conversion,[],[f1374]) ).
cnf(s162,plain,
( ~ spl0_33
| spl0_40
| ~ spl0_43 ),
inference(sat_conversion,[],[f1391]) ).
cnf(s172,plain,
( ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_40 ),
inference(sat_conversion,[],[f1440]) ).
cnf(s174,plain,
( ~ spl0_6
| ~ spl0_40
| spl0_48 ),
inference(sat_conversion,[],[f1446]) ).
cnf(s177,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_40 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s180,plain,
( spl0_29
| ~ spl0_33
| ~ spl0_40
| ~ spl0_48 ),
inference(sat_conversion,[],[f1487]) ).
cnf(s181,plain,
( ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_40
| ~ spl0_50 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s185,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_29
| ~ spl0_40
| spl0_50 ),
inference(sat_conversion,[],[f1534]) ).
cnf(s186,plain,
spl0_5,
inference(rat,[],[s63,s27,s28,s29,s30,s31,s32]) ).
cnf(s187,plain,
spl0_6,
inference(rat,[],[s64,s59,s60,s61,s62,s186]) ).
cnf(s188,plain,
( ~ spl0_17
| ~ spl0_16
| ~ spl0_4 ),
inference(rat,[],[s116,s125,s187,s186]) ).
cnf(s189,plain,
( spl0_8
| ~ spl0_4 ),
inference(rat,[],[s188,s11,s12]) ).
cnf(s190,plain,
( spl0_17
| ~ spl0_4 ),
inference(rat,[],[s162,s153,s177,s149,s22,s42,s52,s189,s187]) ).
cnf(s191,plain,
~ spl0_4,
inference(rat,[],[s162,s153,s177,s149,s21,s41,s51,s188,s190,s189,s187]) ).
cnf(s192,plain,
( spl0_40
| ~ spl0_33 ),
inference(rat,[],[s153,s162,s187]) ).
cnf(s193,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_3 ),
inference(rat,[],[s192,s149,s172]) ).
cnf(s194,plain,
( spl0_17
| ~ spl0_3 ),
inference(rat,[],[s193,s42,s52]) ).
cnf(s195,plain,
( ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s193,s41,s51,s102,s186,s187]) ).
cnf(s196,plain,
~ spl0_3,
inference(rat,[],[s195,s194]) ).
cnf(s197,plain,
( spl0_17
| ~ spl0_2 ),
inference(rat,[],[s185,s181,s180,s174,s192,s149,s42,s52,s186,s187]) ).
cnf(s198,plain,
( ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s185,s181,s180,s174,s192,s149,s41,s51,s119,s187,s186]) ).
cnf(s199,plain,
~ spl0_2,
inference(rat,[],[s198,s197]) ).
cnf(s200,plain,
spl0_1,
inference(rat,[],[s2,s186,s191,s187,s196,s199]) ).
cnf(s201,plain,
( ~ spl0_19
| ~ spl0_20 ),
inference(rat,[],[s131,s142,s192,s149,s187,s200]) ).
cnf(s202,plain,
spl0_17,
inference(rat,[],[s201,s42,s52]) ).
cnf(s203,plain,
~ spl0_16,
inference(rat,[],[s113,s109,s186,s202,s187,s200]) ).
cnf(s204,plain,
spl0_20,
inference(rat,[],[s51,s203]) ).
cnf(s205,plain,
spl0_19,
inference(rat,[],[s41,s203]) ).
cnf(s208,plain,
$false,
inference(rat,[],[s201,s204,s205]) ).
fof(f1535,plain,
$false,
inference(avatar_sat_refutation,[],[s208]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP373-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:00:24 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.10/1.31 % (994195)Input is clausal, will run a generic CNF schedule.
% 2.10/1.31 % (994202)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=863910863:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.10/1.31 % (994203)lrs+10_1_sil=8000:sp=occurrence:random_seed=3182351091:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.10/1.31 % (994204)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3992454905:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.10/1.31 % (994200)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=132535815:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.10/1.31 % (994201)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=196452744:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.10/1.31 % (994205)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2719876367:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.10/1.31 % (994203)Refutation not found, incomplete strategy
% 2.10/1.31 % (994203)------------------------------
% 2.10/1.31 % (994203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.10/1.31 % (994203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/1.31 % (994203)CaDiCaL version: 2.1.3
% 2.10/1.31 % (994203)Termination reason: Refutation not found, incomplete strategy
% 2.10/1.31 % (994203)Time elapsed: 0.004 s
% 2.10/1.31 % (994203)Peak memory usage: 88 MB
% 2.10/1.31 % (994203)Instructions burned: 6 (million)
% 2.10/1.31 % (994206)dis-21_1_sil=8000:lcm=predicate:random_seed=1532230482: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)
% 2.10/1.31 % (994206)Refutation not found, incomplete strategy
% 2.10/1.31 % (994206)------------------------------
% 2.10/1.31 % (994206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.10/1.31 % (994206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/1.31 % (994206)CaDiCaL version: 2.1.3
% 2.10/1.31 % (994206)Termination reason: Refutation not found, incomplete strategy
% 2.10/1.31 % (994206)Time elapsed: 0.003 s
% 2.10/1.31 % (994206)Peak memory usage: 88 MB
% 2.10/1.31 % (994206)Instructions burned: 3 (million)
% 2.10/1.31 % (994205)First to succeed.
% 2.10/1.31 % (994205)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-994195"
% 2.10/1.31 % (994204)Instruction limit reached!
% 2.10/1.31 % (994204)------------------------------
% 2.10/1.31 % (994204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.10/1.31 % (994204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/1.31 % (994204)CaDiCaL version: 2.1.3
% 2.10/1.31 % (994204)Termination reason: Instruction limit
% 2.10/1.31 % (994204)Termination phase: Saturation
% 2.10/1.31 % (994204)Time elapsed: 0.066 s
% 2.10/1.31 % (994204)Peak memory usage: 89 MB
% 2.10/1.31 % (994204)Instructions burned: 115 (million)
% 2.10/1.31 % (994203)------------------------------
% 2.10/1.31 % (994203)------------------------------
% 2.10/1.31 % (994214)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=3812520549:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.10/1.31 % (994206)------------------------------
% 2.10/1.31 % (994206)------------------------------
% 2.10/1.31 % (994214)Refutation not found, incomplete strategy
% 2.10/1.31 % (994214)------------------------------
% 2.10/1.31 % (994214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.10/1.31 % (994214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/1.31 % (994214)CaDiCaL version: 2.1.3
% 2.10/1.31 % (994214)Termination reason: Refutation not found, incomplete strategy
% 2.10/1.31 % (994214)Time elapsed: 0.004 s
% 2.10/1.31 % (994214)Peak memory usage: 88 MB
% 2.10/1.31 % (994214)Instructions burned: 6 (million)
% 2.10/1.31 % (994205)Refutation found. Thanks to Tanya!
% 2.10/1.31 % SZS status Unsatisfiable for theBenchmark
% 2.10/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/1.51 % (994205)------------------------------
% 0.18/1.51 % (994205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/1.51 % (994205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/1.51 % (994205)CaDiCaL version: 2.1.3
% 0.18/1.51 % (994205)Termination reason: Refutation
% 0.18/1.51 % (994205)Time elapsed: 0.030 s
% 0.18/1.51 % (994205)Peak memory usage: 90 MB
% 0.18/1.51 % (994205)Instructions burned: 46 (million)
% 0.18/1.51 % (994205)------------------------------
% 0.18/1.51 % (994205)------------------------------
% 0.18/1.51 % (994195)Success in time 0.453 s
% 0.18/1.51 % Vampire exiting
%------------------------------------------------------------------------------