%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP379-1 : 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 : n002.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 10:13:48 AM UTC 2026
% Result : Unsatisfiable 2.82s 1.26s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 53
% Syntax : Number of formulae : 332 ( 17 unt; 22 def)
% Number of atoms : 1132 ( 376 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1530 ( 730 ~; 778 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 77 ( 0 sgn 77 !; 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(f12,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c11) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( inverse(sk_c11) = sk_c10
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,negated_conjecture,
( inverse(sk_c11) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f20,plain,
( inverse(sk_c11) = sk_c10
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f23,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c10,sk_c9) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c11 = multiply(sk_c10,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(f51,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c11 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
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(f71,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f73]) ).
fof(f83,negated_conjecture,
( multiply(sk_c2,sk_c9) = 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_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c2,sk_c9) = 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_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( sk_c11 = multiply(sk_c2,sk_c9)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c11 = multiply(sk_c2,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c11 = multiply(sk_c2,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c11 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f93]) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| multiply(sk_c10,sk_c9) != sk_c11
| multiply(X0,X1) != sk_c11
| inverse(X0) != X1
| multiply(X1,sk_c9) != 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_c11 != multiply(sk_c10,sk_c9)
| multiply(X0,X1) != sk_c11
| inverse(X0) != X1
| sk_c11 != multiply(X1,sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
! [X2,X3,X0,X6,X7,X4,X5] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(equality_resolution,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X6,X7,X4] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != X7
| inverse(X4) != inverse(X7)
| multiply(X6,inverse(X4)) != X7 ),
inference(equality_resolution,[],[f105]) ).
fof(f107,plain,
! [X2,X3,X0,X6,X4] :
( inverse(sk_c11) != sk_c10
| sk_c11 != multiply(sk_c10,sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c9)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X4) != inverse(inverse(X6))
| inverse(X6) != multiply(X6,inverse(X4)) ),
inference(equality_resolution,[],[f106]) ).
fof(f109,definition,
( spl0_1
<=> ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f110,plain,
( ! [X6,X4] :
( sk_c11 != multiply(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_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f119,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c9) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl0_5
<=> sk_c11 = multiply(sk_c10,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f122,plain,
( sk_c11 = multiply(sk_c10,sk_c9)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f123,plain,
( sk_c11 != multiply(sk_c10,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_c9) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f136,plain,
( sk_c11 = multiply(sk_c2,sk_c9)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f139,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f141,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f144,definition,
( spl0_10
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f146,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f149,definition,
( spl0_11
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f151,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f149]) ).
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(f157,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f94,f134,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(f162,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f92,f134,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(f167,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f90,f134,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(f172,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f88,f134,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(f191,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f74,f184,f154]) ).
fof(f192,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f72,f184,f159]) ).
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(f205,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f54,f198,f154]) ).
fof(f206,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f52,f198,f159]) ).
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(f222,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f20,f125,f139]) ).
fof(f223,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f125,f144]) ).
fof(f224,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f17,f125,f149]) ).
fof(f225,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f15,f125,f154]) ).
fof(f226,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f125,f159]) ).
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(f234,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f3,f146]) ).
fof(f235,plain,
( identity = multiply(sk_c8,sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f3,f141]) ).
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(f310,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f244,f261]) ).
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(f322,plain,
( sk_c10 = multiply(inverse(sk_c8),sk_c11)
| ~ spl0_11 ),
inference(superposition,[],[f244,f151]) ).
fof(f324,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl0_9 ),
inference(superposition,[],[f244,f235]) ).
fof(f327,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl0_10 ),
inference(superposition,[],[f244,f234]) ).
fof(f330,plain,
( sk_c7 = multiply(sk_c8,identity)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f327,f141]) ).
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(f344,plain,
( multiply(sk_c8,sk_c10) = sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f330,f342]) ).
fof(f345,plain,
( sk_c11 = sk_c7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f344,f151]) ).
fof(f349,plain,
( inverse(sk_c11) = sk_c6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f146,f345]) ).
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(f364,plain,
( sk_c11 != sk_c10
| spl0_5
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f123,f338]) ).
fof(f367,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f244,f338]) ).
fof(f369,plain,
( identity = sk_c9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f367,f3]) ).
fof(f372,plain,
( sk_c10 = sk_c9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f369,f342]) ).
fof(f390,plain,
( $false
| spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f361,f364]) ).
fof(f391,plain,
( spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f390]) ).
fof(f392,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f122,f372]) ).
fof(f415,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f392,f361]) ).
fof(f436,plain,
( sk_c10 != sk_c6
| spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f127,f349]) ).
fof(f440,plain,
( sk_c11 != sk_c6
| spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f436,f361]) ).
fof(f490,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c10)
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f324,f342]) ).
fof(f491,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c11)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f490,f361]) ).
fof(f492,plain,
( sk_c10 = sk_c6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f491,f322]) ).
fof(f493,plain,
( sk_c11 = sk_c6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f492,f361]) ).
fof(f494,plain,
( $false
| spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f493,f440]) ).
fof(f495,plain,
( spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f496,plain,
( ! [X0] :
( sk_c11 != multiply(inverse(X0),sk_c10)
| sk_c11 != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f119,f372]) ).
fof(f497,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f126,f361]) ).
fof(f498,plain,
( ! [X0] :
( sk_c11 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(X0,inverse(X0)) )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f496,f361]) ).
fof(f512,plain,
( identity = multiply(sk_c11,sk_c11)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f3,f497]) ).
fof(f518,plain,
( sk_c11 != multiply(sk_c10,sk_c11)
| sk_c11 != multiply(sk_c4,sk_c10)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f498,f166]) ).
fof(f530,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| sk_c11 != multiply(sk_c4,sk_c10)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f518,f361]) ).
fof(f539,plain,
( sk_c11 != multiply(sk_c4,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f530,f415]) ).
fof(f548,plain,
( sk_c11 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f539,f171]) ).
fof(f551,plain,
( sk_c11 != sk_c10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f548,f372]) ).
fof(f556,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f551,f361]) ).
fof(f557,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f556]) ).
fof(f756,plain,
( sk_c10 = multiply(sk_c11,sk_c11)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f512,f342]) ).
fof(f762,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f756,f361]) ).
fof(f768,definition,
( spl0_21
<=> sk_c11 = multiply(sk_c11,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f769,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f777,plain,
( spl0_21
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f762,f179,f174,f159,f154,f125,f768]) ).
fof(f784,plain,
( identity = multiply(sk_c10,sk_c11)
| ~ spl0_6 ),
inference(superposition,[],[f3,f126]) ).
fof(f795,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_18 ),
inference(superposition,[],[f3,f186]) ).
fof(f803,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c11)
| ~ spl0_8 ),
inference(superposition,[],[f244,f136]) ).
fof(f834,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c11)
| ~ spl0_19 ),
inference(superposition,[],[f244,f200]) ).
fof(f835,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl0_19 ),
inference(superposition,[],[f4,f200]) ).
fof(f836,plain,
( sk_c2 = multiply(sk_c2,sk_c11)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f834,f186]) ).
fof(f900,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_17 ),
inference(superposition,[],[f116,f181]) ).
fof(f901,plain,
( sk_c11 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f900]) ).
fof(f911,plain,
( ~ spl0_16
| ~ spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f901,f179,f115,f174]) ).
fof(f914,definition,
( spl0_22
<=> sk_c11 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f915,plain,
( sk_c11 = inverse(identity)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f916,plain,
( sk_c11 != inverse(identity)
| spl0_22 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f918,definition,
( spl0_23
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f919,plain,
( sk_c11 = sk_c10
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f920,plain,
( sk_c11 != sk_c10
| spl0_23 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f931,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c11)
| ~ spl0_17
| ~ spl0_21 ),
inference(superposition,[],[f239,f769]) ).
fof(f932,plain,
( sk_c11 != sk_c10
| sk_c11 != inverse(sk_c11)
| ~ spl0_3
| ~ spl0_21 ),
inference(superposition,[],[f116,f769]) ).
fof(f933,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_21 ),
inference(superposition,[],[f244,f769]) ).
fof(f935,plain,
( identity = sk_c11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f933,f3]) ).
fof(f936,plain,
( sk_c11 != sk_c10
| sk_c11 != sk_c10
| ~ spl0_3
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f932,f126]) ).
fof(f937,plain,
( sk_c11 != sk_c10
| ~ spl0_3
| ~ spl0_6
| ~ spl0_21 ),
inference(duplicate_literal_removal,[],[f936]) ).
fof(f938,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f931,f181]) ).
fof(f939,plain,
( ~ spl0_23
| ~ spl0_3
| ~ spl0_6
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f937,f768,f125,f115,f918]) ).
fof(f940,plain,
( sk_c11 != inverse(sk_c11)
| ~ spl0_21
| spl0_22 ),
inference(superposition,[],[f916,f935]) ).
fof(f942,plain,
( sk_c11 != sk_c10
| ~ spl0_6
| ~ spl0_21
| spl0_22 ),
inference(forward_demodulation,[],[f940,f126]) ).
fof(f943,plain,
( sk_c11 = multiply(sk_c10,sk_c11)
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f784,f935]) ).
fof(f944,plain,
( sk_c11 = multiply(sk_c2,sk_c1)
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f795,f935]) ).
fof(f966,definition,
( spl0_27
<=> sk_c10 = sk_c2 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f967,plain,
( sk_c10 = sk_c2
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f975,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c11,sk_c11)
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f835,f836]) ).
fof(f984,plain,
( sk_c11 = sk_c10
| ~ spl0_6
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f938,f943]) ).
fof(f985,plain,
( $false
| ~ spl0_6
| ~ spl0_17
| ~ spl0_21
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f984,f920]) ).
fof(f986,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_21
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f985]) ).
fof(f987,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f975,f200]) ).
fof(f988,plain,
( spl0_21
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f987,f198,f184,f768]) ).
fof(f996,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c11,multiply(sk_c11,X0))
| ~ spl0_21 ),
inference(superposition,[],[f4,f769]) ).
fof(f1006,plain,
( sk_c1 = multiply(inverse(sk_c2),sk_c11)
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f244,f944]) ).
fof(f1010,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(inverse(sk_c11),multiply(sk_c11,X0))
| ~ spl0_21 ),
inference(superposition,[],[f244,f996]) ).
fof(f1013,plain,
( ! [X0] : multiply(sk_c11,X0) = X0
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1010,f244]) ).
fof(f1049,plain,
( ! [X0] : multiply(inverse(sk_c11),X0) = X0
| ~ spl0_21 ),
inference(superposition,[],[f244,f1013]) ).
fof(f1055,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1049,f126]) ).
fof(f1080,plain,
( sk_c11 = sk_c9
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f1055,f122]) ).
fof(f1164,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_18
| ~ spl0_19
| ~ spl0_27 ),
inference(superposition,[],[f836,f967]) ).
fof(f1173,plain,
( sk_c11 = sk_c10
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1164,f943]) ).
fof(f1204,plain,
( sk_c11 = multiply(inverse(sk_c2),sk_c11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f803,f1080]) ).
fof(f1227,plain,
( sk_c11 = sk_c1
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f1204,f1006]) ).
fof(f1237,plain,
( inverse(sk_c11) = sk_c2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f186,f1227]) ).
fof(f1238,plain,
( sk_c10 = sk_c2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1237,f126]) ).
fof(f1244,plain,
( ! [X0] :
( sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(inverse(X0),sk_c11) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f119,f1080]) ).
fof(f1246,plain,
( spl0_23
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1173,f966,f768,f198,f184,f125,f918]) ).
fof(f1249,plain,
( spl0_27
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1238,f768,f184,f134,f125,f121,f966]) ).
fof(f1250,plain,
( ~ spl0_23
| ~ spl0_6
| ~ spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f942,f914,f768,f125,f918]) ).
fof(f1254,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_demodulation,[],[f915,f935]) ).
fof(f1282,plain,
( sk_c11 != inverse(identity)
| sk_c11 != multiply(inverse(identity),sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(superposition,[],[f1244,f1]) ).
fof(f1288,plain,
( sk_c11 != inverse(sk_c11)
| sk_c11 != multiply(inverse(identity),sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1282,f935]) ).
fof(f1302,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(inverse(identity),sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1288,f126]) ).
fof(f1307,plain,
( sk_c11 != multiply(inverse(identity),sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1302,f919]) ).
fof(f1314,plain,
( sk_c11 != multiply(inverse(sk_c11),sk_c11)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1307,f935]) ).
fof(f1315,plain,
( identity != sk_c11
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1314,f3]) ).
fof(f1316,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1315,f935]) ).
fof(f1317,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1316]) ).
fof(f1318,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c11)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f113,f919]) ).
fof(f1319,plain,
( ! [X3] :
( sk_c11 != multiply(X3,sk_c11)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1318,f1080]) ).
fof(f1320,plain,
( ! [X3] :
( sk_c11 != inverse(X3)
| sk_c11 != multiply(X3,sk_c11) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1319,f919]) ).
fof(f1322,plain,
( sk_c11 != sk_c10
| sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f1320,f126]) ).
fof(f1336,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1322,f919]) ).
fof(f1338,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1336,f769]) ).
fof(f1339,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1340,plain,
( ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c11)
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_23 ),
inference(forward_demodulation,[],[f110,f919]) ).
fof(f1341,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c10)
| sk_c11 != multiply(sk_c10,sk_c11)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_23 ),
inference(superposition,[],[f1340,f126]) ).
fof(f1357,plain,
( ! [X0] :
( sk_c11 != multiply(sk_c11,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1341,f943]) ).
fof(f1362,plain,
( ! [X0] :
( sk_c11 != sk_c10
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1357,f1013]) ).
fof(f1374,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1362,f919]) ).
fof(f1378,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c11)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1374,f919]) ).
fof(f1382,plain,
( ! [X0] :
( sk_c11 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c11) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1378,f919]) ).
fof(f1439,plain,
( sk_c11 != inverse(sk_c10)
| sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f1382,f126]) ).
fof(f1462,plain,
( sk_c11 != inverse(sk_c11)
| sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1439,f919]) ).
fof(f1465,plain,
( sk_c10 != multiply(sk_c11,sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1462,f1254]) ).
fof(f1469,plain,
( sk_c11 != sk_c10
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1465,f769]) ).
fof(f1471,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1469,f919]) ).
fof(f1472,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_22
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1471]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f128]) ).
cnf(s6,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f157]) ).
cnf(s7,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f162]) ).
cnf(s8,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f167]) ).
cnf(s9,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f172]) ).
cnf(s10,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f177]) ).
cnf(s11,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f182]) ).
cnf(s16,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f191]) ).
cnf(s17,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f192]) ).
cnf(s20,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f195]) ).
cnf(s21,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f196]) ).
cnf(s26,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f205]) ).
cnf(s27,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f206]) ).
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(s43,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f222]) ).
cnf(s44,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f223]) ).
cnf(s45,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f224]) ).
cnf(s46,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f225]) ).
cnf(s47,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f226]) ).
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,[],[f391]) ).
cnf(s53,plain,
( spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f495]) ).
cnf(s59,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f557]) ).
cnf(s84,plain,
( ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| spl0_21 ),
inference(sat_conversion,[],[f777]) ).
cnf(s98,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f911]) ).
cnf(s101,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f939]) ).
cnf(s103,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_21
| spl0_23 ),
inference(sat_conversion,[],[f986]) ).
cnf(s104,plain,
( ~ spl0_18
| ~ spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f988]) ).
cnf(s114,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f1246]) ).
cnf(s115,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_21
| spl0_27 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s116,plain,
( ~ spl0_6
| ~ spl0_21
| spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s128,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f1317]) ).
cnf(s130,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f1339]) ).
cnf(s139,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_21
| ~ spl0_22
| ~ spl0_23 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s141,plain,
spl0_5,
inference(rat,[],[s52,s36,s37,s38,s39,s40,s41]) ).
cnf(s142,plain,
spl0_6,
inference(rat,[],[s53,s43,s44,s45,s46,s47,s50,s51]) ).
cnf(s143,plain,
( spl0_8
| ~ spl0_4 ),
inference(rat,[],[s59,s6,s7,s8,s9,s10,s11,s141]) ).
cnf(s144,plain,
( spl0_17
| ~ spl0_4 ),
inference(rat,[],[s128,s114,s115,s104,s21,s31,s143,s142,s141]) ).
cnf(s145,plain,
( spl0_16
| ~ spl0_4 ),
inference(rat,[],[s128,s114,s115,s104,s20,s30,s143,s142,s141]) ).
cnf(s146,plain,
( ~ spl0_21
| ~ spl0_4 ),
inference(rat,[],[s103,s128,s144,s142,s141]) ).
cnf(s147,plain,
( spl0_13
| spl0_21 ),
inference(rat,[],[s104,s17,s27]) ).
cnf(s148,plain,
( ~ spl0_13
| ~ spl0_17
| ~ spl0_16
| spl0_21 ),
inference(rat,[],[s104,s16,s26,s84,s142]) ).
cnf(s149,plain,
~ spl0_4,
inference(rat,[],[s148,s147,s146,s145,s144]) ).
cnf(s150,plain,
( spl0_17
| ~ spl0_3 ),
inference(rat,[],[s101,s114,s115,s104,s11,s21,s31,s142,s141]) ).
cnf(s151,plain,
( ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s101,s114,s115,s104,s10,s20,s30,s98,s141,s142]) ).
cnf(s152,plain,
~ spl0_3,
inference(rat,[],[s151,s150]) ).
cnf(s153,plain,
( spl0_17
| ~ spl0_2 ),
inference(rat,[],[s130,s114,s115,s104,s11,s21,s31,s142,s141]) ).
cnf(s154,plain,
( ~ spl0_21
| ~ spl0_2 ),
inference(rat,[],[s103,s130,s153,s142,s141]) ).
cnf(s155,plain,
( ~ spl0_13
| spl0_21
| ~ spl0_17 ),
inference(rat,[],[s104,s20,s30,s148]) ).
cnf(s156,plain,
~ spl0_2,
inference(rat,[],[s155,s147,s154,s153]) ).
cnf(s157,plain,
spl0_1,
inference(rat,[],[s1,s141,s149,s142,s152,s156]) ).
cnf(s158,plain,
( ~ spl0_23
| ~ spl0_21 ),
inference(rat,[],[s139,s116,s157,s142]) ).
cnf(s159,plain,
( ~ spl0_18
| ~ spl0_27
| ~ spl0_19
| ~ spl0_21 ),
inference(rat,[],[s158,s114,s142]) ).
cnf(s160,plain,
spl0_17,
inference(rat,[],[s159,s115,s104,s11,s21,s31,s141,s142]) ).
cnf(s161,plain,
~ spl0_21,
inference(rat,[],[s158,s103,s160,s142]) ).
cnf(s162,plain,
spl0_13,
inference(rat,[],[s147,s161]) ).
cnf(s163,plain,
$false,
inference(rat,[],[s155,s160,s161,s162]) ).
fof(f1475,plain,
$false,
inference(avatar_sat_refutation,[],[s163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP379-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n002.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 10:02:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.82/1.26 % (3305736)Input is clausal, will run a generic CNF schedule.
% 2.82/1.26 % (3305824)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1976986609:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.82/1.26 % (3305827)lrs+10_1_sil=8000:sp=occurrence:random_seed=1768083788:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.82/1.26 % (3305830)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1876642710:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.82/1.26 % (3305828)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2590944093:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.82/1.26 % (3305821)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=3786824206:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.82/1.26 % (3305825)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=154577201:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.82/1.26 % (3305827)Refutation not found, incomplete strategy
% 2.82/1.26 % (3305827)------------------------------
% 2.82/1.26 % (3305827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.26 % (3305827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.26 % (3305827)CaDiCaL version: 2.1.3
% 2.82/1.26 % (3305827)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.26 % (3305827)Time elapsed: 0.004 s
% 2.82/1.26 % (3305827)Peak memory usage: 88 MB
% 2.82/1.26 % (3305827)Instructions burned: 5 (million)
% 2.82/1.26 % (3305832)dis-21_1_sil=8000:lcm=predicate:random_seed=1009496973: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)
% 2.82/1.26 % (3305832)Refutation not found, incomplete strategy
% 2.82/1.26 % (3305832)------------------------------
% 2.82/1.26 % (3305832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.26 % (3305832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.26 % (3305832)CaDiCaL version: 2.1.3
% 2.82/1.26 % (3305832)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.26 % (3305832)Time elapsed: 0.002 s
% 2.82/1.26 % (3305832)Peak memory usage: 88 MB
% 2.82/1.26 % (3305832)Instructions burned: 2 (million)
% 2.82/1.26 % (3305830)First to succeed.
% 2.82/1.26 % (3305830)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3305736"
% 2.82/1.26 % (3305828)Instruction limit reached!
% 2.82/1.26 % (3305828)------------------------------
% 2.82/1.26 % (3305828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.26 % (3305828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.26 % (3305828)CaDiCaL version: 2.1.3
% 2.82/1.26 % (3305828)Termination reason: Instruction limit
% 2.82/1.26 % (3305828)Termination phase: Saturation
% 2.82/1.26 % (3305828)Time elapsed: 0.065 s
% 2.82/1.26 % (3305828)Peak memory usage: 89 MB
% 2.82/1.26 % (3305828)Instructions burned: 114 (million)
% 2.82/1.26 % (3305865)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=3036638962:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.82/1.26 % (3305865)Refutation not found, incomplete strategy
% 2.82/1.26 % (3305865)------------------------------
% 2.82/1.26 % (3305865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.26 % (3305865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.26 % (3305865)CaDiCaL version: 2.1.3
% 2.82/1.26 % (3305865)Termination reason: Refutation not found, incomplete strategy
% 2.82/1.26 % (3305865)Time elapsed: 0.004 s
% 2.82/1.26 % (3305865)Peak memory usage: 88 MB
% 2.82/1.26 % (3305865)Instructions burned: 5 (million)
% 2.82/1.26 % (3305827)------------------------------
% 2.82/1.26 % (3305827)------------------------------
% 2.82/1.26 % (3305832)------------------------------
% 2.82/1.26 % (3305832)------------------------------
% 2.82/1.26 % (3305830)Refutation found. Thanks to Tanya!
% 2.82/1.26 % SZS status Unsatisfiable for theBenchmark
% 2.82/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.45 % (3305830)------------------------------
% 3.56/1.45 % (3305830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.45 % (3305830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.45 % (3305830)CaDiCaL version: 2.1.3
% 3.56/1.45 % (3305830)Termination reason: Refutation
% 3.56/1.45 % (3305830)Time elapsed: 0.029 s
% 3.56/1.45 % (3305830)Peak memory usage: 90 MB
% 3.56/1.45 % (3305830)Instructions burned: 45 (million)
% 3.56/1.45 % (3305830)------------------------------
% 3.56/1.45 % (3305830)------------------------------
% 3.56/1.45 % (3305736)Success in time 0.418 s
% 3.56/1.45 % Vampire exiting
%------------------------------------------------------------------------------