%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP378-1 : 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 : n005.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 3.23s 1.33s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 36
% Syntax : Number of formulae : 287 ( 17 unt; 16 def)
% Number of atoms : 1189 ( 346 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 1816 ( 914 ~; 886 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 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/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,
( inverse(sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/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_c11,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c11,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f63,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c2 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f65]) ).
fof(f83,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f85]) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| multiply(sk_c11,sk_c9) != sk_c10
| multiply(X0,X1) != sk_c11
| inverse(X0) != X1
| multiply(X1,sk_c10) != sk_c11
| 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(f104,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| sk_c10 != multiply(sk_c11,sk_c9)
| multiply(X0,X1) != sk_c11
| inverse(X0) != X1
| sk_c11 != multiply(X1,sk_c10)
| 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,[],[f103]) ).
fof(f105,plain,
! [X2,X3,X0,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10)
| 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(equality_resolution,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X6,X7,X4] :
( inverse(sk_c11) != sk_c10
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10)
| 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,X6,X4] :
( inverse(sk_c11) != sk_c10
| sk_c10 != multiply(sk_c11,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10)
| 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(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ 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
<=> ! [X0] :
( sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f119,plain,
( ! [X0] :
( sk_c11 != multiply(inverse(X0),sk_c10)
| sk_c11 != multiply(X0,inverse(X0)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl0_5
<=> sk_c10 = multiply(sk_c11,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f122,plain,
( sk_c10 = multiply(sk_c11,sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( sk_c10 != multiply(sk_c11,sk_c9)
| spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f125,definition,
( spl0_6
<=> inverse(sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f126,plain,
( inverse(sk_c11) = sk_c10
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f127,plain,
( inverse(sk_c11) != sk_c10
| spl0_6 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f107,f125,f121,f118,f115,f112,f109]) ).
fof(f134,definition,
( spl0_8
<=> sk_c11 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f136,plain,
( sk_c11 = multiply(sk_c2,sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f154,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f156,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f159,definition,
( spl0_13
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f161,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f164,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f166,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f169,definition,
( spl0_15
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f171,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f174,definition,
( spl0_16
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f176,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f86,f134,f174]) ).
fof(f179,definition,
( spl0_17
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f181,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,plain,
( spl0_17
| spl0_8 ),
inference(avatar_split_clause,[],[f84,f134,f179]) ).
fof(f184,definition,
( spl0_18
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f186,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f195,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f66,f184,f174]) ).
fof(f196,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f64,f184,f179]) ).
fof(f198,definition,
( spl0_19
<=> sk_c11 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f200,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f209,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f46,f198,f174]) ).
fof(f210,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f44,f198,f179]) ).
fof(f215,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f34,f121,f154]) ).
fof(f216,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f32,f121,f159]) ).
fof(f217,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f30,f121,f164]) ).
fof(f218,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f28,f121,f169]) ).
fof(f219,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f26,f121,f174]) ).
fof(f220,plain,
( spl0_17
| spl0_5 ),
inference(avatar_split_clause,[],[f24,f121,f179]) ).
fof(f227,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f11,f125,f164]) ).
fof(f228,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f125,f169]) ).
fof(f229,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f125,f174]) ).
fof(f230,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f125,f179]) ).
fof(f231,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f3,f176]) ).
fof(f232,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_14 ),
inference(superposition,[],[f3,f166]) ).
fof(f238,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f239,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl0_17 ),
inference(superposition,[],[f4,f181]) ).
fof(f244,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f238,f1]) ).
fof(f247,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f231]) ).
fof(f248,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f247,f1]) ).
fof(f261,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f248,f181]) ).
fof(f270,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f239,f261]) ).
fof(f272,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f270,f181]) ).
fof(f308,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl0_16 ),
inference(superposition,[],[f244,f231]) ).
fof(f310,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f244,f261]) ).
fof(f311,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_14 ),
inference(superposition,[],[f244,f232]) ).
fof(f315,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_15 ),
inference(superposition,[],[f244,f171]) ).
fof(f318,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_13 ),
inference(superposition,[],[f244,f161]) ).
fof(f335,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f318,f156]) ).
fof(f338,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f315,f166]) ).
fof(f342,plain,
( identity = sk_c10
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f310,f3]) ).
fof(f356,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f244,f335]) ).
fof(f358,plain,
( identity = sk_c11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f356,f3]) ).
fof(f361,plain,
( sk_c11 = sk_c10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f358,f342]) ).
fof(f366,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f244,f338]) ).
fof(f368,plain,
( identity = sk_c9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f366,f3]) ).
fof(f371,plain,
( sk_c10 = sk_c9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f368,f342]) ).
fof(f374,plain,
( sk_c10 != multiply(sk_c11,sk_c10)
| spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f123,f371]) ).
fof(f375,plain,
( sk_c11 != sk_c10
| spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f374,f261]) ).
fof(f377,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f311,f342]) ).
fof(f378,plain,
( identity = sk_c4
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f377,f3]) ).
fof(f379,plain,
( sk_c10 = sk_c4
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f378,f342]) ).
fof(f383,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f166,f379]) ).
fof(f389,plain,
( $false
| spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f361,f375]) ).
fof(f390,plain,
( spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f391,plain,
( sk_c10 = multiply(sk_c11,sk_c10)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f122,f371]) ).
fof(f392,plain,
( sk_c11 = sk_c10
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f391,f261]) ).
fof(f415,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_5
| spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f127,f392]) ).
fof(f469,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f383,f392]) ).
fof(f470,plain,
( $false
| ~ spl0_5
| spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f469,f415]) ).
fof(f471,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f470]) ).
fof(f728,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl0_6 ),
inference(superposition,[],[f3,f126]) ).
fof(f729,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f728,f342]) ).
fof(f742,plain,
( sk_c9 = multiply(inverse(sk_c11),sk_c10)
| ~ spl0_5 ),
inference(superposition,[],[f244,f122]) ).
fof(f750,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f742,f126]) ).
fof(f751,plain,
( sk_c10 = sk_c9
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f750,f272]) ).
fof(f754,plain,
( sk_c10 = multiply(sk_c11,sk_c10)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f122,f751]) ).
fof(f755,plain,
( sk_c11 = sk_c10
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f754,f261]) ).
fof(f764,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c11)
| ~ spl0_19 ),
inference(superposition,[],[f244,f200]) ).
fof(f765,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl0_19 ),
inference(superposition,[],[f4,f200]) ).
fof(f766,plain,
( sk_c2 = multiply(sk_c2,sk_c11)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f764,f186]) ).
fof(f769,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f729,f755]) ).
fof(f770,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,[],[f116,f755]) ).
fof(f773,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f770,f176]) ).
fof(f777,plain,
( sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f773]) ).
fof(f783,definition,
( spl0_21
<=> sk_c11 = sk_c2 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f784,plain,
( sk_c11 = sk_c2
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f785,plain,
( sk_c11 != sk_c2
| spl0_21 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f797,plain,
( sk_c11 != sk_c10
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f777,f181]) ).
fof(f799,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f797,f755]) ).
fof(f800,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f801,plain,
( ! [X0] :
( sk_c11 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f119,f755]) ).
fof(f808,plain,
( sk_c11 != multiply(sk_c10,sk_c11)
| sk_c11 != multiply(sk_c11,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f801,f126]) ).
fof(f829,plain,
( sk_c11 != multiply(sk_c10,sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f808,f261]) ).
fof(f835,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f829,f755]) ).
fof(f840,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f835,f769]) ).
fof(f841,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f842,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,[],[f110,f755]) ).
fof(f846,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c3,sk_c11)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f842,f176]) ).
fof(f860,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c3,sk_c11)
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f846,f769]) ).
fof(f873,plain,
( ! [X0] :
( sk_c11 != sk_c10
| inverse(X0) != multiply(X0,sk_c11)
| sk_c11 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f860,f181]) ).
fof(f884,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_subsumption_resolution,[],[f873,f755]) ).
fof(f909,plain,
( sk_c11 != inverse(sk_c10)
| sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f884,f126]) ).
fof(f926,plain,
( sk_c11 != inverse(sk_c11)
| sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f909,f755]) ).
fof(f929,plain,
( sk_c11 != sk_c10
| sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f926,f126]) ).
fof(f933,plain,
( sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f929,f755]) ).
fof(f935,plain,
( sk_c11 != sk_c10
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f933,f769]) ).
fof(f938,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f935,f755]) ).
fof(f939,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f938]) ).
fof(f940,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,[],[f113,f755]) ).
fof(f941,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,[],[f940,f751]) ).
fof(f942,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,[],[f941,f755]) ).
fof(f943,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,[],[f942,f755]) ).
fof(f952,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f943,f126]) ).
fof(f962,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f952,f755]) ).
fof(f965,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f962,f769]) ).
fof(f966,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f971,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f136,f784]) ).
fof(f1001,plain,
( sk_c3 = multiply(sk_c10,identity)
| ~ spl0_6
| ~ spl0_16 ),
inference(forward_demodulation,[],[f308,f126]) ).
fof(f1003,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c2,multiply(sk_c10,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f136]) ).
fof(f1049,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(superposition,[],[f113,f750]) ).
fof(f1052,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1049]) ).
fof(f1066,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c11,sk_c11)
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f765,f766]) ).
fof(f1067,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f244,f766]) ).
fof(f1069,plain,
( identity = sk_c11
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1067,f3]) ).
fof(f1070,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1066,f200]) ).
fof(f1080,plain,
( multiply(sk_c11,sk_c11) = multiply(sk_c2,identity)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f1003,f728]) ).
fof(f1087,plain,
( multiply(sk_c11,sk_c11) = multiply(sk_c2,sk_c11)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1080,f1069]) ).
fof(f1089,plain,
( sk_c2 = multiply(sk_c11,sk_c11)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1087,f766]) ).
fof(f1103,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_8
| ~ spl0_21 ),
inference(superposition,[],[f244,f971]) ).
fof(f1105,plain,
( identity = sk_c10
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1103,f3]) ).
fof(f1106,plain,
( sk_c11 = sk_c10
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1105,f1069]) ).
fof(f1134,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f1052,f1106]) ).
fof(f1136,plain,
( sk_c11 != sk_c10
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1134,f126]) ).
fof(f1140,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1136,f1106]) ).
fof(f1141,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1140]) ).
fof(f1173,plain,
( sk_c3 = multiply(sk_c10,sk_c11)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1001,f1069]) ).
fof(f1178,plain,
( identity = sk_c3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f728,f1173]) ).
fof(f1185,plain,
( sk_c11 = sk_c3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1178,f1069]) ).
fof(f1222,plain,
( sk_c11 != multiply(sk_c2,sk_c10)
| sk_c11 != multiply(sk_c1,sk_c2)
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f119,f186]) ).
fof(f1225,plain,
( sk_c11 != multiply(sk_c1,sk_c2)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f1222,f136]) ).
fof(f1228,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1225,f200]) ).
fof(f1229,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1228]) ).
fof(f1255,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_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f110,f1106]) ).
fof(f1268,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c2,sk_c11)
| sk_c11 != multiply(sk_c1,sk_c2)
| inverse(X0) != multiply(X0,sk_c2)
| sk_c2 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f1255,f186]) ).
fof(f1273,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c2,sk_c11)
| inverse(X0) != multiply(X0,sk_c2)
| sk_c2 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1268,f200]) ).
fof(f1278,plain,
( ! [X0] :
( sk_c11 != sk_c2
| inverse(X0) != multiply(X0,sk_c2)
| sk_c2 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1273,f766]) ).
fof(f1282,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c2)
| sk_c2 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1278,f784]) ).
fof(f1286,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c2 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1282,f784]) ).
fof(f1290,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1286,f784]) ).
fof(f1299,plain,
( sk_c11 != inverse(sk_c10)
| sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f1290,f126]) ).
fof(f1300,plain,
( sk_c11 != inverse(sk_c11)
| sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f1290,f176]) ).
fof(f1307,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1300,f126]) ).
fof(f1308,plain,
( sk_c11 != inverse(sk_c11)
| sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1299,f1106]) ).
fof(f1311,plain,
( sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1307,f1106]) ).
fof(f1312,plain,
( sk_c11 != sk_c10
| sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1308,f126]) ).
fof(f1315,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1311,f1185]) ).
fof(f1316,plain,
( sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1312,f1106]) ).
fof(f1318,plain,
( sk_c11 != sk_c2
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1315,f1089]) ).
fof(f1319,plain,
( sk_c10 != sk_c2
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1316,f1089]) ).
fof(f1322,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1318,f784]) ).
fof(f1323,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1322]) ).
fof(f1324,plain,
( sk_c11 != sk_c10
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1319,f784]) ).
fof(f1325,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1324,f1106]) ).
fof(f1326,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1325]) ).
fof(f1327,plain,
( ! [X2] :
( sk_c11 != inverse(X2)
| sk_c11 != multiply(X2,sk_c11) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f116,f1106]) ).
fof(f1328,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f1327,f126]) ).
fof(f1329,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f1327,f176]) ).
fof(f1333,plain,
( sk_c11 != multiply(sk_c3,sk_c11)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f1329]) ).
fof(f1336,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1333,f1185]) ).
fof(f1337,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1328,f1106]) ).
fof(f1340,plain,
( sk_c11 != sk_c2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1336,f1089]) ).
fof(f1341,plain,
( sk_c11 != sk_c2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1337,f1089]) ).
fof(f1342,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1340,f784]) ).
fof(f1343,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1344,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1341,f784]) ).
fof(f1345,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1344]) ).
fof(f1429,plain,
( sk_c11 = sk_c2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f1070,f1089]) ).
fof(f1436,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f1429,f785]) ).
fof(f1437,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f1436]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f128]) ).
cnf(s10,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f177]) ).
cnf(s11,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f182]) ).
cnf(s20,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f195]) ).
cnf(s21,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f196]) ).
cnf(s30,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f209]) ).
cnf(s31,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f210]) ).
cnf(s36,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f215]) ).
cnf(s37,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f216]) ).
cnf(s38,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f217]) ).
cnf(s39,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f218]) ).
cnf(s40,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f219]) ).
cnf(s41,plain,
( spl0_5
| spl0_17 ),
inference(sat_conversion,[],[f220]) ).
cnf(s48,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f227]) ).
cnf(s49,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f228]) ).
cnf(s50,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f229]) ).
cnf(s51,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f230]) ).
cnf(s52,plain,
( spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f390]) ).
cnf(s53,plain,
( ~ spl0_5
| spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f471]) ).
cnf(s88,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f800]) ).
cnf(s93,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f841]) ).
cnf(s102,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f939]) ).
cnf(s106,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f966]) ).
cnf(s117,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1141]) ).
cnf(s126,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f1229]) ).
cnf(s134,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1323]) ).
cnf(s135,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1326]) ).
cnf(s138,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1343]) ).
cnf(s139,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1345]) ).
cnf(s153,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f1437]) ).
cnf(s154,plain,
spl0_5,
inference(rat,[],[s52,s36,s37,s38,s39,s40,s41]) ).
cnf(s155,plain,
spl0_6,
inference(rat,[],[s53,s48,s49,s50,s51,s154]) ).
cnf(s156,plain,
( spl0_8
| ~ spl0_4 ),
inference(rat,[],[s93,s10,s11,s155,s154]) ).
cnf(s157,plain,
( spl0_17
| ~ spl0_4 ),
inference(rat,[],[s126,s21,s31,s156]) ).
cnf(s158,plain,
~ spl0_4,
inference(rat,[],[s126,s20,s30,s93,s157,s156,s155,s154]) ).
cnf(s159,plain,
( ~ spl0_19
| ~ spl0_16
| ~ spl0_18
| ~ spl0_3
| ~ spl0_8 ),
inference(rat,[],[s153,s138,s155]) ).
cnf(s160,plain,
( ~ spl0_16
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s159,s21,s31,s88,s155,s154]) ).
cnf(s161,plain,
( ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s139,s153,s20,s30,s160,s155]) ).
cnf(s162,plain,
~ spl0_3,
inference(rat,[],[s88,s10,s11,s161,s155,s154]) ).
cnf(s163,plain,
( spl0_17
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s117,s153,s21,s31,s154,s155]) ).
cnf(s164,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s117,s153,s20,s30,s106,s163,s155,s154]) ).
cnf(s165,plain,
~ spl0_2,
inference(rat,[],[s106,s10,s11,s164,s155,s154]) ).
cnf(s166,plain,
spl0_1,
inference(rat,[],[s1,s154,s158,s155,s162,s165]) ).
cnf(s167,plain,
( ~ spl0_19
| ~ spl0_16
| ~ spl0_18
| ~ spl0_8 ),
inference(rat,[],[s153,s134,s166,s155]) ).
cnf(s168,plain,
( ~ spl0_16
| ~ spl0_8 ),
inference(rat,[],[s167,s21,s31,s102,s155,s154,s166]) ).
cnf(s169,plain,
( ~ spl0_18
| ~ spl0_8
| ~ spl0_19 ),
inference(rat,[],[s135,s153,s155,s166]) ).
cnf(s170,plain,
~ spl0_8,
inference(rat,[],[s169,s20,s30,s168]) ).
cnf(s171,plain,
spl0_17,
inference(rat,[],[s11,s170]) ).
cnf(s172,plain,
spl0_16,
inference(rat,[],[s10,s170]) ).
cnf(s181,plain,
$false,
inference(rat,[],[s102,s166,s154,s155,s171,s172]) ).
fof(f1438,plain,
$false,
inference(avatar_sat_refutation,[],[s181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP378-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n005.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:59:47 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.23/1.33 % (3751524)Input is clausal, will run a generic CNF schedule.
% 3.23/1.33 % (3751533)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=738087985:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.23/1.33 % (3751535)dis-21_1_sil=8000:lcm=predicate:random_seed=2031718888: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)
% 3.23/1.33 % (3751529)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=3015342192:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.23/1.33 % (3751531)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2482823697:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.23/1.33 % (3751532)lrs+10_1_sil=8000:sp=occurrence:random_seed=1586084427:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.23/1.33 % (3751530)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1929438719:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.23/1.33 % (3751534)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4051596300:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.23/1.33 % (3751533)Instruction limit reached!
% 3.23/1.33 % (3751533)------------------------------
% 3.23/1.33 % (3751533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.33 % (3751533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.33 % (3751533)CaDiCaL version: 2.1.3
% 3.23/1.33 % (3751533)Termination reason: Instruction limit
% 3.23/1.33 % (3751533)Termination phase: Saturation
% 3.23/1.33 % (3751533)Time elapsed: 0.035 s
% 3.23/1.33 % (3751533)Peak memory usage: 89 MB
% 3.23/1.33 % (3751533)Instructions burned: 116 (million)
% 3.23/1.33 % (3751535)Refutation not found, incomplete strategy
% 3.23/1.33 % (3751535)------------------------------
% 3.23/1.33 % (3751535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.33 % (3751535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.33 % (3751535)CaDiCaL version: 2.1.3
% 3.23/1.33 % (3751535)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.33 % (3751535)Time elapsed: 0.002 s
% 3.23/1.33 % (3751535)Peak memory usage: 88 MB
% 3.23/1.33 % (3751535)Instructions burned: 2 (million)
% 3.23/1.33 % (3751532)Refutation not found, incomplete strategy
% 3.23/1.33 % (3751532)------------------------------
% 3.23/1.33 % (3751532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.33 % (3751532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.33 % (3751532)CaDiCaL version: 2.1.3
% 3.23/1.33 % (3751532)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.33 % (3751532)Time elapsed: 0.004 s
% 3.23/1.33 % (3751532)Peak memory usage: 88 MB
% 3.23/1.33 % (3751532)Instructions burned: 5 (million)
% 3.23/1.33 % (3751534)First to succeed.
% 3.23/1.33 % (3751534)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3751524"
% 3.23/1.33 % (3751543)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=1591392025:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.23/1.33 % (3751543)Refutation not found, incomplete strategy
% 3.23/1.33 % (3751543)------------------------------
% 3.23/1.33 % (3751543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.23/1.33 % (3751543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.23/1.33 % (3751543)CaDiCaL version: 2.1.3
% 3.23/1.33 % (3751543)Termination reason: Refutation not found, incomplete strategy
% 3.23/1.33 % (3751543)Time elapsed: 0.002 s
% 3.23/1.33 % (3751543)Peak memory usage: 88 MB
% 3.23/1.33 % (3751543)Instructions burned: 5 (million)
% 3.23/1.33 % (3751532)------------------------------
% 3.23/1.33 % (3751532)------------------------------
% 3.23/1.33 % (3751535)------------------------------
% 3.23/1.33 % (3751535)------------------------------
% 3.23/1.33 % (3751534)Refutation found. Thanks to Tanya!
% 3.23/1.33 % SZS status Unsatisfiable for theBenchmark
% 3.23/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.53 % (3751534)------------------------------
% 3.87/1.53 % (3751534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.53 % (3751534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.53 % (3751534)CaDiCaL version: 2.1.3
% 3.87/1.53 % (3751534)Termination reason: Refutation
% 3.87/1.53 % (3751534)Time elapsed: 0.029 s
% 3.87/1.53 % (3751534)Peak memory usage: 90 MB
% 3.87/1.53 % (3751534)Instructions burned: 46 (million)
% 3.87/1.53 % (3751534)------------------------------
% 3.87/1.53 % (3751534)------------------------------
% 3.87/1.53 % (3751524)Success in time 0.457 s
% 3.87/1.53 % Vampire exiting
%------------------------------------------------------------------------------