%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP330-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:39 AM UTC 2026
% Result : Unsatisfiable 2.67s 1.32s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 63
% Syntax : Number of formulae : 438 ( 18 unt; 25 def)
% Number of atoms : 1546 ( 438 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 2145 (1037 ~;1083 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 26 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 78 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f24,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f36]) ).
fof(f44,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c10 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c10 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c10 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c10 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f56]) ).
fof(f64,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f74]) ).
fof(f76,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f77,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f76]) ).
fof(f84,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f85,plain,
( sk_c9 = inverse(sk_c2)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f84]) ).
fof(f86,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f87,plain,
( sk_c9 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f86]) ).
fof(f88,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f89,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f88]) ).
fof(f90,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f91,plain,
( sk_c9 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f90]) ).
fof(f92,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f93,plain,
( sk_c9 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f92]) ).
fof(f94,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f95,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f94]) ).
fof(f96,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f97,plain,
( sk_c9 = inverse(sk_c2)
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f96]) ).
fof(f104,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(sk_c10,sk_c11) != sk_c9
| multiply(X0,sk_c10) != sk_c11
| inverse(X0) != sk_c10
| multiply(X1,sk_c9) != sk_c10
| inverse(X1) != sk_c9
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(X4,X5) != sk_c11
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c11
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10
| sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(reorient_equations,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X6,X7,X4] :
( multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10
| sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != X7
| inverse(X4) != inverse(X7)
| multiply(X6,inverse(X4)) != X7 ),
inference(equality_resolution,[],[f105]) ).
fof(f107,plain,
! [X2,X3,X0,X1,X6,X4] :
( multiply(sk_c10,sk_c11) != sk_c9
| sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10
| sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X4) != inverse(inverse(X6))
| inverse(X6) != multiply(X6,inverse(X4)) ),
inference(equality_resolution,[],[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
<=> ! [X1] :
( sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f119,plain,
( ! [X1] :
( sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl0_5
<=> ! [X0] :
( sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f122,plain,
( ! [X0] :
( sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,definition,
( spl0_6
<=> multiply(sk_c10,sk_c11) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f125,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
( multiply(sk_c10,sk_c11) != sk_c9
| spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f107,f124,f121,f118,f115,f112,f109]) ).
fof(f133,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f135,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f148,definition,
( spl0_11
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f150,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f97,f133,f148]) ).
fof(f153,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f155,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f95,f133,f153]) ).
fof(f158,definition,
( spl0_13
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f160,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f93,f133,f158]) ).
fof(f163,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f165,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,plain,
( spl0_14
| spl0_8 ),
inference(avatar_split_clause,[],[f91,f133,f163]) ).
fof(f168,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f170,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f171,plain,
( spl0_15
| spl0_8 ),
inference(avatar_split_clause,[],[f89,f133,f168]) ).
fof(f173,definition,
( spl0_16
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f175,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f176,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f87,f133,f173]) ).
fof(f178,definition,
( spl0_17
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f179,plain,
( sk_c10 != multiply(sk_c3,sk_c11)
| spl0_17 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f180,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f181,plain,
( spl0_17
| spl0_8 ),
inference(avatar_split_clause,[],[f85,f133,f178]) ).
fof(f183,definition,
( spl0_18
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f185,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f189,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f77,f183,f148]) ).
fof(f190,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f75,f183,f153]) ).
fof(f191,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f73,f183,f158]) ).
fof(f192,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f71,f183,f163]) ).
fof(f193,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f69,f183,f168]) ).
fof(f194,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f67,f183,f173]) ).
fof(f195,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f65,f183,f178]) ).
fof(f197,definition,
( spl0_19
<=> sk_c10 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f199,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f203,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f57,f197,f148]) ).
fof(f204,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f55,f197,f153]) ).
fof(f205,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f53,f197,f158]) ).
fof(f206,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f51,f197,f163]) ).
fof(f207,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f49,f197,f168]) ).
fof(f208,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f47,f197,f173]) ).
fof(f209,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f45,f197,f178]) ).
fof(f211,definition,
( spl0_20
<=> sk_c11 = multiply(sk_c1,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f213,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f217,plain,
( spl0_11
| spl0_20 ),
inference(avatar_split_clause,[],[f37,f211,f148]) ).
fof(f218,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f35,f211,f153]) ).
fof(f219,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f33,f211,f158]) ).
fof(f220,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f31,f211,f163]) ).
fof(f221,plain,
( spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f29,f211,f168]) ).
fof(f222,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f27,f211,f173]) ).
fof(f223,plain,
( spl0_17
| spl0_20 ),
inference(avatar_split_clause,[],[f25,f211,f178]) ).
fof(f228,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f124,f153]) ).
fof(f229,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f124,f158]) ).
fof(f230,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f124,f163]) ).
fof(f231,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f124,f168]) ).
fof(f232,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f124,f173]) ).
fof(f233,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f124,f178]) ).
fof(f234,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f3,f175]) ).
fof(f241,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f242,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(sk_c10,X0)
| ~ spl0_17 ),
inference(superposition,[],[f4,f180]) ).
fof(f247,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f241,f1]) ).
fof(f250,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f234]) ).
fof(f251,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f250,f1]) ).
fof(f264,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f251,f180]) ).
fof(f273,plain,
( multiply(sk_c3,sk_c11) = multiply(sk_c10,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f242,f264]) ).
fof(f275,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f273,f180]) ).
fof(f313,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl0_16 ),
inference(superposition,[],[f247,f234]) ).
fof(f315,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f247,f264]) ).
fof(f319,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_15 ),
inference(superposition,[],[f247,f170]) ).
fof(f321,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_13 ),
inference(superposition,[],[f247,f160]) ).
fof(f338,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f321,f155]) ).
fof(f340,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f319,f165]) ).
fof(f344,plain,
( identity = sk_c10
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f315,f3]) ).
fof(f359,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f247,f338]) ).
fof(f361,plain,
( identity = sk_c11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f359,f3]) ).
fof(f364,plain,
( sk_c10 = sk_c11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f361,f344]) ).
fof(f365,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f126,f364]) ).
fof(f372,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f338,f364]) ).
fof(f373,plain,
( sk_c11 = sk_c8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f372,f150]) ).
fof(f375,plain,
( sk_c10 != sk_c9
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f365,f275]) ).
fof(f376,plain,
( sk_c10 = sk_c8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f373,f364]) ).
fof(f379,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f247,f340]) ).
fof(f381,plain,
( identity = sk_c9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f379,f3]) ).
fof(f384,plain,
( sk_c10 = sk_c9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f381,f344]) ).
fof(f398,plain,
( sk_c3 = multiply(inverse(sk_c11),sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f313,f344]) ).
fof(f399,plain,
( sk_c3 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f398,f364]) ).
fof(f400,plain,
( identity = sk_c3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f399,f3]) ).
fof(f401,plain,
( sk_c10 = sk_c3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f400,f344]) ).
fof(f414,plain,
( $false
| spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f375,f384]) ).
fof(f415,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f416,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c10)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f116,f364]) ).
fof(f418,plain,
( ! [X2] :
( sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c10) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f416,f364]) ).
fof(f420,plain,
( sk_c10 != sk_c11
| sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f418,f175]) ).
fof(f431,definition,
( spl0_22
<=> sk_c10 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f432,plain,
( sk_c10 = sk_c8
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f442,plain,
( sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f420,f364]) ).
fof(f446,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f442,f401]) ).
fof(f448,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f446,f275]) ).
fof(f449,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f455,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_19 ),
inference(superposition,[],[f3,f199]) ).
fof(f463,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c11)
| ~ spl0_20 ),
inference(superposition,[],[f247,f213]) ).
fof(f465,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f463,f199]) ).
fof(f542,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c11,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f125]) ).
fof(f552,definition,
( spl0_26
<=> sk_c11 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f553,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f554,plain,
( sk_c11 != inverse(sk_c10)
| spl0_26 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f556,definition,
( spl0_27
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f557,plain,
( sk_c10 = sk_c9
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f568,definition,
( spl0_29
<=> sk_c10 = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f569,plain,
( sk_c10 = sk_c11
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f601,plain,
( multiply(sk_c9,sk_c3) = multiply(sk_c10,identity)
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f542,f234]) ).
fof(f623,plain,
( sk_c10 = sk_c9
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f125,f465]) ).
fof(f626,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c10)
| ~ spl0_3
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f116,f465]) ).
fof(f627,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f247,f465]) ).
fof(f629,plain,
( sk_c11 != inverse(sk_c10)
| ~ spl0_3
| ~ spl0_19
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f626]) ).
fof(f630,plain,
( identity = sk_c11
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f627,f3]) ).
fof(f631,plain,
( ~ spl0_26
| ~ spl0_3
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f629,f211,f197,f115,f552]) ).
fof(f638,plain,
( spl0_27
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f623,f211,f197,f124,f556]) ).
fof(f639,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_18
| ~ spl0_27 ),
inference(superposition,[],[f185,f557]) ).
fof(f671,plain,
( sk_c11 = multiply(sk_c10,sk_c1)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f455,f630]) ).
fof(f673,plain,
( multiply(sk_c10,sk_c11) = multiply(sk_c9,sk_c3)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f601,f630]) ).
fof(f677,plain,
( multiply(sk_c10,sk_c11) = multiply(sk_c10,sk_c3)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f673,f557]) ).
fof(f678,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f677,f125]) ).
fof(f679,plain,
( sk_c10 = multiply(sk_c10,sk_c3)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f678,f557]) ).
fof(f680,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c10)
| ~ spl0_18
| ~ spl0_27 ),
inference(superposition,[],[f247,f639]) ).
fof(f682,plain,
( sk_c10 = multiply(sk_c9,sk_c10)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27 ),
inference(forward_demodulation,[],[f680,f135]) ).
fof(f683,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27 ),
inference(forward_demodulation,[],[f682,f557]) ).
fof(f686,plain,
( sk_c1 = multiply(inverse(sk_c10),sk_c11)
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f247,f671]) ).
fof(f762,plain,
( sk_c3 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27 ),
inference(superposition,[],[f247,f679]) ).
fof(f764,plain,
( identity = sk_c3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f762,f3]) ).
fof(f767,plain,
( sk_c11 = sk_c3
| ~ spl0_6
| ~ spl0_16
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f764,f630]) ).
fof(f779,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27 ),
inference(superposition,[],[f247,f683]) ).
fof(f781,plain,
( identity = sk_c10
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27 ),
inference(forward_demodulation,[],[f779,f3]) ).
fof(f786,plain,
( sk_c10 = sk_c11
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27 ),
inference(superposition,[],[f630,f781]) ).
fof(f799,plain,
( spl0_29
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f786,f556,f211,f197,f183,f133,f568]) ).
fof(f801,definition,
( spl0_34
<=> sk_c11 = inverse(sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f802,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f803,plain,
( sk_c11 != inverse(sk_c11)
| spl0_34 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f810,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_29 ),
inference(superposition,[],[f125,f569]) ).
fof(f811,plain,
( sk_c10 != multiply(sk_c3,sk_c10)
| spl0_17
| ~ spl0_29 ),
inference(superposition,[],[f179,f569]) ).
fof(f822,plain,
( sk_c10 != multiply(sk_c11,sk_c10)
| ~ spl0_6
| ~ spl0_16
| spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f811,f767]) ).
fof(f825,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_16
| spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f822,f569]) ).
fof(f826,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f825,f683]) ).
fof(f827,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f829,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_29
| spl0_34 ),
inference(forward_demodulation,[],[f803,f569]) ).
fof(f854,plain,
( sk_c1 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f686,f569]) ).
fof(f855,plain,
( identity = sk_c1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f854,f3]) ).
fof(f856,plain,
( sk_c11 = sk_c1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f855,f630]) ).
fof(f857,plain,
( sk_c10 = sk_c1
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f856,f569]) ).
fof(f861,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(superposition,[],[f199,f857]) ).
fof(f862,plain,
( $false
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29
| spl0_34 ),
inference(forward_subsumption_resolution,[],[f861,f829]) ).
fof(f863,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_29
| spl0_34 ),
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f869,plain,
( spl0_22
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f376,f178,f173,f158,f153,f148,f431]) ).
fof(f870,plain,
( spl0_29
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f364,f178,f173,f158,f153,f568]) ).
fof(f902,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f3,f175]) ).
fof(f917,plain,
( sk_c11 = multiply(sk_c10,sk_c10)
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f150,f432]) ).
fof(f918,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_11
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_demodulation,[],[f917,f569]) ).
fof(f919,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f175,f401]) ).
fof(f920,plain,
( $false
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f919,f554]) ).
fof(f921,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f920]) ).
fof(f922,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_26
| ~ spl0_29 ),
inference(forward_demodulation,[],[f553,f569]) ).
fof(f943,plain,
( identity = sk_c10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_29 ),
inference(forward_demodulation,[],[f361,f569]) ).
fof(f955,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c10) )
| ~ spl0_5
| ~ spl0_29 ),
inference(forward_demodulation,[],[f122,f569]) ).
fof(f956,plain,
( sk_c10 != sk_c11
| sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f955,f175]) ).
fof(f966,plain,
( sk_c10 != multiply(sk_c3,sk_c10)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f956,f569]) ).
fof(f972,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_demodulation,[],[f966,f401]) ).
fof(f977,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f972,f918]) ).
fof(f978,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f977]) ).
fof(f979,plain,
( ! [X1] :
( sk_c10 != multiply(X1,sk_c10)
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_27 ),
inference(forward_demodulation,[],[f119,f557]) ).
fof(f980,plain,
( ! [X1] :
( sk_c10 != inverse(X1)
| sk_c10 != multiply(X1,sk_c10) )
| ~ spl0_4
| ~ spl0_27 ),
inference(forward_demodulation,[],[f979,f557]) ).
fof(f1004,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c10) )
| ~ spl0_2
| ~ spl0_27 ),
inference(forward_demodulation,[],[f113,f557]) ).
fof(f1010,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_2
| ~ spl0_14
| ~ spl0_27 ),
inference(superposition,[],[f1004,f165]) ).
fof(f1014,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_2
| ~ spl0_14
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1010]) ).
fof(f1019,plain,
( sk_c10 != sk_c9
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1014,f170]) ).
fof(f1026,plain,
( $false
| ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1019,f557]) ).
fof(f1027,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1035,plain,
( ! [X6,X4] :
( sk_c10 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ spl0_1
| ~ spl0_29 ),
inference(forward_demodulation,[],[f110,f569]) ).
fof(f1036,plain,
( ! [X6,X4] :
( sk_c10 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1035,f569]) ).
fof(f1039,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c4,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_14
| ~ spl0_29 ),
inference(superposition,[],[f1036,f165]) ).
fof(f1052,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c4,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1039,f918]) ).
fof(f1060,plain,
( ! [X0] :
( sk_c10 != sk_c9
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1052,f170]) ).
fof(f1067,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_22
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1060,f557]) ).
fof(f1094,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_22
| ~ spl0_27
| ~ spl0_29 ),
inference(superposition,[],[f1067,f165]) ).
fof(f1101,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1094,f922]) ).
fof(f1107,plain,
( sk_c10 != sk_c9
| ~ spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1101,f170]) ).
fof(f1114,plain,
( $false
| ~ spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1107,f557]) ).
fof(f1115,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1114]) ).
fof(f1132,plain,
( spl0_27
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f384,f178,f173,f168,f163,f556]) ).
fof(f1135,plain,
( sk_c10 = sk_c9
| ~ spl0_6
| ~ spl0_11
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_demodulation,[],[f810,f918]) ).
fof(f1142,plain,
( spl0_27
| ~ spl0_6
| ~ spl0_11
| ~ spl0_22
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1135,f568,f431,f148,f124,f556]) ).
fof(f1148,definition,
( spl0_35
<=> ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f1149,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1151,definition,
( spl0_36
<=> sk_c10 = multiply(sk_c10,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f1152,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f1174,plain,
( spl0_36
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f683,f556,f183,f133,f1151]) ).
fof(f1208,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_29
| ~ spl0_34 ),
inference(forward_demodulation,[],[f802,f569]) ).
fof(f1270,definition,
( spl0_40
<=> identity = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f1271,plain,
( identity = sk_c10
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f1309,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_18
| ~ spl0_27 ),
inference(forward_demodulation,[],[f185,f557]) ).
fof(f1324,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c9,sk_c10)
| sk_c10 != multiply(sk_c2,sk_c9)
| inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_29 ),
inference(superposition,[],[f1036,f135]) ).
fof(f1328,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c2,sk_c9)
| inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1324,f557]) ).
fof(f1337,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c2,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10)
| inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1328,f557]) ).
fof(f1385,plain,
( identity = multiply(sk_c11,sk_c10)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f902,f401]) ).
fof(f1386,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1385,f569]) ).
fof(f1387,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1386,f1271]) ).
fof(f1388,plain,
( spl0_36
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_29
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1387,f1270,f568,f178,f173,f158,f153,f1151]) ).
fof(f1452,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_19
| ~ spl0_35 ),
inference(superposition,[],[f1149,f199]) ).
fof(f1457,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_19
| ~ spl0_26
| ~ spl0_29
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1452,f922]) ).
fof(f1466,plain,
( sk_c10 != sk_c11
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26
| ~ spl0_29
| ~ spl0_35 ),
inference(forward_demodulation,[],[f1457,f213]) ).
fof(f1473,plain,
( $false
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26
| ~ spl0_29
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1466,f569]) ).
fof(f1474,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_26
| ~ spl0_29
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f1473]) ).
fof(f1558,plain,
( spl0_40
| ~ spl0_12
| ~ spl0_13
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f943,f568,f158,f153,f1270]) ).
fof(f1576,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29 ),
inference(superposition,[],[f980,f922]) ).
fof(f1581,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_27 ),
inference(superposition,[],[f980,f135]) ).
fof(f1584,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1576]) ).
fof(f1585,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1581,f557]) ).
fof(f1587,plain,
( $false
| ~ spl0_4
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1584,f1152]) ).
fof(f1588,plain,
( ~ spl0_4
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1587]) ).
fof(f1589,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1585,f1309]) ).
fof(f1590,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1589]) ).
fof(f1606,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_5
| ~ spl0_19
| ~ spl0_29 ),
inference(superposition,[],[f955,f199]) ).
fof(f1608,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_5
| ~ spl0_19
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1606]) ).
fof(f1612,plain,
( sk_c10 != sk_c11
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1608,f213]) ).
fof(f1617,plain,
( $false
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1612,f569]) ).
fof(f1618,plain,
( ~ spl0_5
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1617]) ).
fof(f1621,plain,
( sk_c10 != inverse(sk_c10)
| spl0_26
| ~ spl0_29 ),
inference(forward_demodulation,[],[f554,f569]) ).
fof(f1632,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_2
| ~ spl0_19
| ~ spl0_27 ),
inference(superposition,[],[f1004,f199]) ).
fof(f1633,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_27 ),
inference(superposition,[],[f1004,f135]) ).
fof(f1634,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_2
| ~ spl0_19
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f1632]) ).
fof(f1636,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1633,f557]) ).
fof(f1637,plain,
( sk_c10 != sk_c11
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f1634,f213]) ).
fof(f1638,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f1636,f1309]) ).
fof(f1639,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f1638]) ).
fof(f1640,plain,
( $false
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1637,f569]) ).
fof(f1641,plain,
( ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1640]) ).
fof(f1665,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c10,sk_c10)
| inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1337,f1309]) ).
fof(f1691,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c9)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f1665,f1152]) ).
fof(f1695,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c9 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1691,f557]) ).
fof(f1697,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1695,f557]) ).
fof(f1699,plain,
( spl0_35
| ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1697,f1151,f568,f556,f183,f133,f109,f1148]) ).
fof(f1701,plain,
( $false
| spl0_26
| ~ spl0_29
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f1208,f1621]) ).
fof(f1702,plain,
( spl0_26
| ~ spl0_29
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1701]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f127]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f151]) ).
cnf(s6,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f156]) ).
cnf(s7,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f161]) ).
cnf(s8,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f166]) ).
cnf(s9,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f171]) ).
cnf(s10,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f176]) ).
cnf(s11,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f181]) ).
cnf(s15,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f189]) ).
cnf(s16,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f190]) ).
cnf(s17,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f191]) ).
cnf(s18,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f192]) ).
cnf(s19,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f193]) ).
cnf(s20,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f194]) ).
cnf(s21,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f195]) ).
cnf(s25,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f203]) ).
cnf(s26,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f204]) ).
cnf(s27,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f205]) ).
cnf(s28,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f206]) ).
cnf(s29,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f207]) ).
cnf(s30,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f208]) ).
cnf(s31,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f209]) ).
cnf(s35,plain,
( spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f217]) ).
cnf(s36,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f218]) ).
cnf(s37,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f219]) ).
cnf(s38,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f220]) ).
cnf(s39,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f221]) ).
cnf(s40,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f222]) ).
cnf(s41,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f223]) ).
cnf(s46,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f228]) ).
cnf(s47,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f229]) ).
cnf(s48,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f230]) ).
cnf(s49,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f231]) ).
cnf(s50,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f232]) ).
cnf(s51,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f233]) ).
cnf(s52,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f415]) ).
cnf(s56,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f449]) ).
cnf(s67,plain,
( ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f631]) ).
cnf(s70,plain,
( ~ spl0_6
| ~ spl0_19
| ~ spl0_20
| spl0_27 ),
inference(sat_conversion,[],[f638]) ).
cnf(s83,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| spl0_29 ),
inference(sat_conversion,[],[f799]) ).
cnf(s88,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f827]) ).
cnf(s89,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_29
| spl0_34 ),
inference(sat_conversion,[],[f863]) ).
cnf(s93,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| spl0_22 ),
inference(sat_conversion,[],[f869]) ).
cnf(s94,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| spl0_29 ),
inference(sat_conversion,[],[f870]) ).
cnf(s97,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| spl0_26 ),
inference(sat_conversion,[],[f921]) ).
cnf(s102,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22
| ~ spl0_29 ),
inference(sat_conversion,[],[f978]) ).
cnf(s110,plain,
( ~ spl0_2
| ~ spl0_14
| ~ spl0_15
| ~ spl0_27 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s115,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s120,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| spl0_27 ),
inference(sat_conversion,[],[f1132]) ).
cnf(s121,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_22
| spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f1142]) ).
cnf(s128,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_27
| spl0_36 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s200,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_29
| spl0_36
| ~ spl0_40 ),
inference(sat_conversion,[],[f1388]) ).
cnf(s204,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_26
| ~ spl0_29
| ~ spl0_35 ),
inference(sat_conversion,[],[f1474]) ).
cnf(s240,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_29
| spl0_40 ),
inference(sat_conversion,[],[f1558]) ).
cnf(s245,plain,
( ~ spl0_4
| ~ spl0_26
| ~ spl0_27
| ~ spl0_29
| ~ spl0_36 ),
inference(sat_conversion,[],[f1588]) ).
cnf(s246,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27 ),
inference(sat_conversion,[],[f1590]) ).
cnf(s252,plain,
( ~ spl0_5
| ~ spl0_19
| ~ spl0_20
| ~ spl0_29 ),
inference(sat_conversion,[],[f1618]) ).
cnf(s253,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27 ),
inference(sat_conversion,[],[f1639]) ).
cnf(s254,plain,
( ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f1641]) ).
cnf(s265,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_18
| ~ spl0_27
| ~ spl0_29
| spl0_35
| ~ spl0_36 ),
inference(sat_conversion,[],[f1699]) ).
cnf(s267,plain,
( spl0_26
| ~ spl0_29
| ~ spl0_34 ),
inference(sat_conversion,[],[f1702]) ).
cnf(s268,plain,
spl0_6,
inference(rat,[],[s52,s46,s47,s48,s49,s50,s51]) ).
cnf(s269,plain,
( spl0_8
| ~ spl0_5 ),
inference(rat,[],[s102,s93,s94,s5,s6,s7,s10,s11]) ).
cnf(s270,plain,
( ~ spl0_17
| ~ spl0_16
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_5 ),
inference(rat,[],[s102,s93,s94]) ).
cnf(s271,plain,
( spl0_17
| ~ spl0_5 ),
inference(rat,[],[s83,s252,s70,s21,s31,s41,s269,s268]) ).
cnf(s272,plain,
( spl0_16
| ~ spl0_5 ),
inference(rat,[],[s83,s252,s70,s20,s30,s40,s269,s268]) ).
cnf(s273,plain,
( spl0_13
| ~ spl0_5 ),
inference(rat,[],[s83,s252,s70,s17,s27,s37,s269,s268]) ).
cnf(s274,plain,
( spl0_12
| ~ spl0_5 ),
inference(rat,[],[s83,s252,s70,s16,s26,s36,s269,s268]) ).
cnf(s275,plain,
( ~ spl0_12
| ~ spl0_5
| ~ spl0_17
| ~ spl0_16
| ~ spl0_13 ),
inference(rat,[],[s252,s25,s35,s94,s270]) ).
cnf(s276,plain,
~ spl0_5,
inference(rat,[],[s275,s274,s273,s272,s271]) ).
cnf(s277,plain,
( ~ spl0_17
| ~ spl0_16
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_4 ),
inference(rat,[],[s121,s245,s200,s240,s93,s97,s94,s268]) ).
cnf(s278,plain,
( ~ spl0_16
| ~ spl0_13
| ~ spl0_4
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s88,s83,s70,s11,s21,s31,s41,s277,s268]) ).
cnf(s279,plain,
( spl0_16
| ~ spl0_4 ),
inference(rat,[],[s246,s70,s10,s20,s30,s40,s268]) ).
cnf(s280,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s246,s70,s7,s17,s27,s37,s268]) ).
cnf(s281,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s246,s70,s6,s16,s26,s36,s268]) ).
cnf(s282,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_4
| ~ spl0_16 ),
inference(rat,[],[s246,s70,s5,s15,s25,s35,s278,s268]) ).
cnf(s283,plain,
~ spl0_4,
inference(rat,[],[s282,s281,s280,s279]) ).
cnf(s284,plain,
( ~ spl0_16
| ~ spl0_13
| ~ spl0_3
| ~ spl0_12 ),
inference(rat,[],[s88,s83,s70,s11,s21,s31,s41,s56,s268]) ).
cnf(s285,plain,
( spl0_16
| ~ spl0_3 ),
inference(rat,[],[s89,s267,s83,s67,s70,s10,s20,s30,s40,s268]) ).
cnf(s286,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s89,s267,s83,s67,s70,s7,s17,s27,s37,s268]) ).
cnf(s287,plain,
( ~ spl0_13
| ~ spl0_16
| ~ spl0_3 ),
inference(rat,[],[s89,s267,s83,s67,s70,s6,s16,s26,s36,s284,s268]) ).
cnf(s288,plain,
~ spl0_3,
inference(rat,[],[s287,s286,s285]) ).
cnf(s289,plain,
( spl0_19
| ~ spl0_27
| ~ spl0_2 ),
inference(rat,[],[s110,s28,s29]) ).
cnf(s290,plain,
( spl0_20
| ~ spl0_27
| ~ spl0_2 ),
inference(rat,[],[s110,s38,s39]) ).
cnf(s291,plain,
( ~ spl0_27
| ~ spl0_16
| ~ spl0_13
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s83,s11,s21,s94,s254,s290,s289]) ).
cnf(s292,plain,
( spl0_20
| spl0_27
| ~ spl0_16 ),
inference(rat,[],[s120,s38,s39,s41]) ).
cnf(s293,plain,
( spl0_27
| ~ spl0_16 ),
inference(rat,[],[s120,s28,s29,s31,s70,s292,s268]) ).
cnf(s294,plain,
( ~ spl0_16
| ~ spl0_13
| ~ spl0_2
| ~ spl0_12 ),
inference(rat,[],[s293,s291]) ).
cnf(s295,plain,
( spl0_16
| ~ spl0_2 ),
inference(rat,[],[s253,s70,s10,s20,s30,s40,s268]) ).
cnf(s296,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s253,s7,s17,s293,s295]) ).
cnf(s297,plain,
~ spl0_2,
inference(rat,[],[s253,s6,s16,s294,s296,s293,s295]) ).
cnf(s298,plain,
spl0_1,
inference(rat,[],[s1,s276,s288,s283,s268,s297]) ).
cnf(s299,plain,
( spl0_20
| ~ spl0_13
| ~ spl0_12
| ~ spl0_16
| ~ spl0_27 ),
inference(rat,[],[s115,s93,s97,s94,s35,s38,s39,s41,s298]) ).
cnf(s300,plain,
( spl0_19
| ~ spl0_13
| ~ spl0_12
| ~ spl0_16
| ~ spl0_27 ),
inference(rat,[],[s115,s93,s97,s94,s25,s28,s29,s31,s298]) ).
cnf(s301,plain,
( spl0_18
| ~ spl0_13
| ~ spl0_12
| ~ spl0_16
| ~ spl0_27 ),
inference(rat,[],[s115,s93,s97,s94,s15,s18,s19,s21,s298]) ).
cnf(s302,plain,
( ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_27 ),
inference(rat,[],[s267,s204,s89,s265,s83,s128,s298]) ).
cnf(s303,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_27
| ~ spl0_16 ),
inference(rat,[],[s115,s93,s97,s94,s5,s8,s9,s11,s302,s301,s300,s299,s298]) ).
cnf(s304,plain,
( spl0_13
| ~ spl0_27 ),
inference(rat,[],[s302,s7,s17,s27,s37]) ).
cnf(s305,plain,
( spl0_12
| ~ spl0_27 ),
inference(rat,[],[s302,s6,s16,s26,s36]) ).
cnf(s306,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_27 ),
inference(rat,[],[s302,s10,s20,s30,s40,s303]) ).
cnf(s307,plain,
~ spl0_27,
inference(rat,[],[s306,s305,s304]) ).
cnf(s308,plain,
~ spl0_16,
inference(rat,[],[s293,s307]) ).
cnf(s309,plain,
spl0_20,
inference(rat,[],[s40,s308]) ).
cnf(s310,plain,
spl0_19,
inference(rat,[],[s30,s308]) ).
cnf(s313,plain,
$false,
inference(rat,[],[s70,s307,s268,s309,s310]) ).
fof(f1703,plain,
$false,
inference(avatar_sat_refutation,[],[s313]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP330-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n008.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:54:55 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.67/1.32 % (992537)Input is clausal, will run a generic CNF schedule.
% 2.67/1.32 % (992548)dis-21_1_sil=8000:lcm=predicate:random_seed=108033815: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)
% 2.67/1.32 % (992548)Refutation not found, incomplete strategy
% 2.67/1.32 % (992548)------------------------------
% 2.67/1.32 % (992548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.32 % (992548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.32 % (992548)CaDiCaL version: 2.1.3
% 2.67/1.32 % (992548)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.32 % (992548)Time elapsed: 0.001 s
% 2.67/1.32 % (992548)Peak memory usage: 88 MB
% 2.67/1.32 % (992548)Instructions burned: 2 (million)
% 2.67/1.32 % (992544)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=834060703:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.67/1.32 % (992542)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=4192970825:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.67/1.32 % (992545)lrs+10_1_sil=8000:sp=occurrence:random_seed=3033881813:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.67/1.32 % (992543)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2052798421:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.67/1.32 % (992547)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2687863732:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.67/1.32 % (992545)Refutation not found, incomplete strategy
% 2.67/1.32 % (992545)------------------------------
% 2.67/1.32 % (992545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.32 % (992545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.32 % (992545)CaDiCaL version: 2.1.3
% 2.67/1.32 % (992545)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.32 % (992545)Time elapsed: 0.004 s
% 2.67/1.32 % (992545)Peak memory usage: 88 MB
% 2.67/1.32 % (992545)Instructions burned: 5 (million)
% 2.67/1.32 % (992546)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1584040101:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.67/1.32 % (992547)First to succeed.
% 2.67/1.32 % (992547)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-992537"
% 2.67/1.32 % (992546)Instruction limit reached!
% 2.67/1.32 % (992546)------------------------------
% 2.67/1.32 % (992546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.32 % (992546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.32 % (992546)CaDiCaL version: 2.1.3
% 2.67/1.32 % (992546)Termination reason: Instruction limit
% 2.67/1.32 % (992546)Termination phase: Saturation
% 2.67/1.32 % (992546)Time elapsed: 0.064 s
% 2.67/1.32 % (992546)Peak memory usage: 89 MB
% 2.67/1.32 % (992546)Instructions burned: 114 (million)
% 2.67/1.32 % (992548)------------------------------
% 2.67/1.32 % (992548)------------------------------
% 2.67/1.32 % (992556)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=1426561345:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.67/1.32 % (992557)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2895613666:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.67/1.32 % (992557)Refutation not found, incomplete strategy
% 2.67/1.32 % (992557)------------------------------
% 2.67/1.32 % (992557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.32 % (992557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.32 % (992557)CaDiCaL version: 2.1.3
% 2.67/1.32 % (992557)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.32 % (992557)Time elapsed: 0.002 s
% 2.67/1.32 % (992557)Peak memory usage: 88 MB
% 2.67/1.32 % (992557)Instructions burned: 6 (million)
% 2.67/1.32 % (992556)Refutation not found, incomplete strategy
% 2.67/1.32 % (992556)------------------------------
% 2.67/1.32 % (992556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.32 % (992556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.32 % (992556)CaDiCaL version: 2.1.3
% 2.67/1.32 % (992556)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.32 % (992556)Time elapsed: 0.004 s
% 2.67/1.32 % (992556)Peak memory usage: 88 MB
% 2.67/1.32 % (992556)Instructions burned: 5 (million)
% 2.67/1.32 % (992545)------------------------------
% 2.67/1.32 % (992545)------------------------------
% 2.67/1.32 % (992547)Refutation found. Thanks to Tanya!
% 2.67/1.32 % SZS status Unsatisfiable for theBenchmark
% 2.67/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.41 % (992547)------------------------------
% 3.65/1.41 % (992547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.41 % (992547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.41 % (992547)CaDiCaL version: 2.1.3
% 3.65/1.41 % (992547)Termination reason: Refutation
% 3.65/1.41 % (992547)Time elapsed: 0.037 s
% 3.65/1.41 % (992547)Peak memory usage: 90 MB
% 3.65/1.41 % (992547)Instructions burned: 57 (million)
% 3.65/1.41 % (992547)------------------------------
% 3.65/1.41 % (992547)------------------------------
% 3.65/1.41 % (992537)Success in time 0.446 s
% 3.65/1.41 % Vampire exiting
%------------------------------------------------------------------------------