%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP366-1 : 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 : n004.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 10:13:45 AM UTC 2026
% Result : Unsatisfiable 3.02s 1.33s
% Output : Refutation 3.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 68
% Syntax : Number of formulae : 446 ( 22 unt; 25 def)
% Number of atoms : 1720 ( 450 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 2449 (1175 ~;1249 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 26 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 71 !; 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_c8,sk_c10) = sk_c9
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c10) = sk_c9
| sk_c8 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c8,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c8,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c8,sk_c10) = sk_c9
| sk_c8 = inverse(sk_c9) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f19,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( multiply(sk_c8,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c6) ),
inference(reorient_equations,[],[f20]) ).
fof(f24,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c8 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c8 = inverse(sk_c9) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c10,sk_c2) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f34]) ).
fof(f44,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c8 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c8 = inverse(sk_c9) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c2
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f54]) ).
fof(f64,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c10 = inverse(sk_c1)
| sk_c8 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f69,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f68]) ).
fof(f70,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c10 = inverse(sk_c1)
| sk_c8 = inverse(sk_c9) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f74]) ).
fof(f84,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f85,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f84]) ).
fof(f86,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f87,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f86]) ).
fof(f88,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f89,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f88]) ).
fof(f90,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f91,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c8 = inverse(sk_c9) ),
inference(reorient_equations,[],[f90]) ).
fof(f92,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f93,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f92]) ).
fof(f94,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f95,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f94]) ).
fof(f96,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f97,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f96]) ).
fof(f104,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f105,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c9,sk_c10) ),
inference(reorient_equations,[],[f104]) ).
fof(f106,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).
fof(f107,plain,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f106]) ).
fof(f108,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).
fof(f109,plain,
( sk_c8 = inverse(sk_c3)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f108]) ).
fof(f110,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).
fof(f111,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c9) ),
inference(reorient_equations,[],[f110]) ).
fof(f112,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).
fof(f113,plain,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f112]) ).
fof(f114,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_56) ).
fof(f115,plain,
( sk_c8 = inverse(sk_c3)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f114]) ).
fof(f116,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_57) ).
fof(f117,plain,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f116]) ).
fof(f124,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(sk_c8,sk_c10) != sk_c9
| multiply(sk_c10,X0) != sk_c9
| multiply(X1,sk_c10) != X0
| inverse(X1) != sk_c10
| multiply(X2,sk_c8) != sk_c10
| inverse(X2) != sk_c8
| multiply(sk_c9,sk_c10) != sk_c8
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| inverse(sk_c9) != sk_c8
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X4) != sk_c9
| multiply(X4,sk_c8) != sk_c9
| inverse(X5) != X6
| inverse(X6) != sk_c10
| multiply(X5,sk_c10) != X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_61) ).
fof(f125,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(sk_c8,sk_c10) != sk_c9
| sk_c9 != multiply(sk_c10,X0)
| multiply(X1,sk_c10) != X0
| sk_c10 != inverse(X1)
| sk_c10 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(sk_c9,sk_c10)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c8 != inverse(sk_c9)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8)
| inverse(X5) != X6
| sk_c10 != inverse(X6)
| multiply(X5,sk_c10) != X6 ),
inference(reorient_equations,[],[f124]) ).
fof(f126,plain,
! [X2,X3,X1,X6,X4,X5] :
( multiply(sk_c8,sk_c10) != sk_c9
| sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c10 != inverse(X1)
| sk_c10 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(sk_c9,sk_c10)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c8 != inverse(sk_c9)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8)
| inverse(X5) != X6
| sk_c10 != inverse(X6)
| multiply(X5,sk_c10) != X6 ),
inference(equality_resolution,[],[f125]) ).
fof(f127,plain,
! [X2,X3,X1,X4,X5] :
( multiply(sk_c8,sk_c10) != sk_c9
| sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c10 != inverse(X1)
| sk_c10 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(sk_c9,sk_c10)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c8 != inverse(sk_c9)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8)
| sk_c10 != inverse(inverse(X5))
| inverse(X5) != multiply(X5,sk_c10) ),
inference(equality_resolution,[],[f126]) ).
fof(f129,definition,
( spl0_1
<=> ! [X5] :
( sk_c10 != inverse(inverse(X5))
| inverse(X5) != multiply(X5,sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f130,plain,
( ! [X5] :
( sk_c10 != inverse(inverse(X5))
| inverse(X5) != multiply(X5,sk_c10) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,definition,
( spl0_2
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f133,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,definition,
( spl0_3
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f136,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f137,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f139,definition,
( spl0_4
<=> sk_c8 = inverse(sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f140,plain,
( sk_c8 = inverse(sk_c9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( sk_c8 != inverse(sk_c9)
| spl0_4 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f143,definition,
( spl0_5
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f144,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,definition,
( spl0_6
<=> sk_c8 = multiply(sk_c9,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f147,plain,
( sk_c8 = multiply(sk_c9,sk_c10)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f148,plain,
( sk_c8 != multiply(sk_c9,sk_c10)
| spl0_6 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f150,definition,
( spl0_7
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f151,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c8)
| sk_c8 != inverse(X2) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f153,definition,
( spl0_8
<=> ! [X1] :
( sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c10 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f154,plain,
( ! [X1] :
( sk_c9 != multiply(sk_c10,multiply(X1,sk_c10))
| sk_c10 != inverse(X1) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,definition,
( spl0_9
<=> multiply(sk_c8,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f157,plain,
( multiply(sk_c8,sk_c10) = sk_c9
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f127,f156,f153,f150,f146,f143,f139,f135,f132,f129]) ).
fof(f165,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f167,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f170,definition,
( spl0_12
<=> sk_c10 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f172,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f175,definition,
( spl0_13
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f177,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f180,definition,
( spl0_14
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f182,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f183,plain,
( spl0_14
| spl0_11 ),
inference(avatar_split_clause,[],[f117,f165,f180]) ).
fof(f185,definition,
( spl0_15
<=> sk_c9 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f187,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f188,plain,
( spl0_15
| spl0_11 ),
inference(avatar_split_clause,[],[f115,f165,f185]) ).
fof(f189,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f113,f165,f135]) ).
fof(f190,plain,
( spl0_4
| spl0_11 ),
inference(avatar_split_clause,[],[f111,f165,f139]) ).
fof(f192,definition,
( spl0_16
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f194,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_16
| spl0_11 ),
inference(avatar_split_clause,[],[f109,f165,f192]) ).
fof(f197,definition,
( spl0_17
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f199,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f200,plain,
( spl0_17
| spl0_11 ),
inference(avatar_split_clause,[],[f107,f165,f197]) ).
fof(f201,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f105,f165,f146]) ).
fof(f203,definition,
( spl0_18
<=> sk_c10 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f205,plain,
( sk_c10 = multiply(sk_c3,sk_c8)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f209,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f97,f203,f180]) ).
fof(f210,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f95,f203,f185]) ).
fof(f211,plain,
( spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f93,f203,f135]) ).
fof(f212,plain,
( spl0_4
| spl0_18 ),
inference(avatar_split_clause,[],[f91,f203,f139]) ).
fof(f213,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f89,f203,f192]) ).
fof(f214,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f87,f203,f197]) ).
fof(f215,plain,
( spl0_6
| spl0_18 ),
inference(avatar_split_clause,[],[f85,f203,f146]) ).
fof(f217,definition,
( spl0_19
<=> sk_c10 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f219,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f224,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f75,f217,f185]) ).
fof(f225,plain,
( spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f73,f217,f135]) ).
fof(f226,plain,
( spl0_4
| spl0_19 ),
inference(avatar_split_clause,[],[f71,f217,f139]) ).
fof(f227,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f69,f217,f192]) ).
fof(f228,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f67,f217,f197]) ).
fof(f229,plain,
( spl0_6
| spl0_19 ),
inference(avatar_split_clause,[],[f65,f217,f146]) ).
fof(f231,definition,
( spl0_20
<=> sk_c2 = multiply(sk_c1,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f233,plain,
( sk_c2 = multiply(sk_c1,sk_c10)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f238,plain,
( spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f55,f231,f185]) ).
fof(f239,plain,
( spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f53,f231,f135]) ).
fof(f240,plain,
( spl0_4
| spl0_20 ),
inference(avatar_split_clause,[],[f51,f231,f139]) ).
fof(f241,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f49,f231,f192]) ).
fof(f242,plain,
( spl0_17
| spl0_20 ),
inference(avatar_split_clause,[],[f47,f231,f197]) ).
fof(f243,plain,
( spl0_6
| spl0_20 ),
inference(avatar_split_clause,[],[f45,f231,f146]) ).
fof(f245,definition,
( spl0_21
<=> sk_c9 = multiply(sk_c10,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f247,plain,
( sk_c9 = multiply(sk_c10,sk_c2)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f252,plain,
( spl0_15
| spl0_21 ),
inference(avatar_split_clause,[],[f35,f245,f185]) ).
fof(f253,plain,
( spl0_3
| spl0_21 ),
inference(avatar_split_clause,[],[f33,f245,f135]) ).
fof(f254,plain,
( spl0_4
| spl0_21 ),
inference(avatar_split_clause,[],[f31,f245,f139]) ).
fof(f255,plain,
( spl0_16
| spl0_21 ),
inference(avatar_split_clause,[],[f29,f245,f192]) ).
fof(f256,plain,
( spl0_17
| spl0_21 ),
inference(avatar_split_clause,[],[f27,f245,f197]) ).
fof(f257,plain,
( spl0_6
| spl0_21 ),
inference(avatar_split_clause,[],[f25,f245,f146]) ).
fof(f259,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f21,f156,f170]) ).
fof(f260,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f19,f156,f175]) ).
fof(f263,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f14,f156,f135]) ).
fof(f264,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f12,f156,f139]) ).
fof(f265,plain,
( spl0_16
| spl0_9 ),
inference(avatar_split_clause,[],[f10,f156,f192]) ).
fof(f266,plain,
( spl0_17
| spl0_9 ),
inference(avatar_split_clause,[],[f8,f156,f197]) ).
fof(f267,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f6,f156,f146]) ).
fof(f268,plain,
( identity = multiply(sk_c8,sk_c9)
| ~ spl0_4 ),
inference(superposition,[],[f3,f140]) ).
fof(f269,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_16 ),
inference(superposition,[],[f3,f194]) ).
fof(f270,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_15 ),
inference(superposition,[],[f3,f187]) ).
fof(f271,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f3,f177]) ).
fof(f272,plain,
( identity = multiply(sk_c10,sk_c6)
| ~ spl0_12 ),
inference(superposition,[],[f3,f172]) ).
fof(f275,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f277,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f147]) ).
fof(f281,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f275,f1]) ).
fof(f284,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f268]) ).
fof(f285,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f284,f1]) ).
fof(f286,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f269]) ).
fof(f287,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f286,f1]) ).
fof(f298,plain,
( sk_c10 = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f285,f147]) ).
fof(f299,plain,
( sk_c5 = multiply(sk_c8,identity)
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f285,f270]) ).
fof(f330,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f287,f199]) ).
fof(f346,plain,
( multiply(sk_c9,sk_c10) = multiply(sk_c8,sk_c9)
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f277,f330]) ).
fof(f348,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f346,f268]) ).
fof(f351,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f348,f147]) ).
fof(f364,plain,
( sk_c9 = multiply(inverse(sk_c8),identity)
| ~ spl0_4 ),
inference(superposition,[],[f281,f268]) ).
fof(f367,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_3 ),
inference(superposition,[],[f281,f136]) ).
fof(f369,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_16 ),
inference(superposition,[],[f281,f269]) ).
fof(f370,plain,
( sk_c6 = multiply(inverse(sk_c10),identity)
| ~ spl0_12 ),
inference(superposition,[],[f281,f272]) ).
fof(f373,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c9),multiply(sk_c8,X0))
| ~ spl0_6 ),
inference(superposition,[],[f281,f277]) ).
fof(f376,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl0_14 ),
inference(superposition,[],[f281,f182]) ).
fof(f380,plain,
( sk_c7 = multiply(inverse(sk_c6),identity)
| ~ spl0_13 ),
inference(superposition,[],[f281,f271]) ).
fof(f383,plain,
( sk_c7 = multiply(sk_c10,identity)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f380,f172]) ).
fof(f387,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f376,f187]) ).
fof(f397,plain,
( multiply(sk_c10,sk_c8) = sk_c7
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f383,f351]) ).
fof(f398,plain,
( sk_c9 = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f397,f136]) ).
fof(f402,plain,
( inverse(sk_c9) = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f177,f398]) ).
fof(f403,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f402,f140]) ).
fof(f416,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f285,f387]) ).
fof(f420,plain,
( sk_c10 = sk_c9
| ~ spl0_4
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f416,f298]) ).
fof(f422,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f364,f351]) ).
fof(f423,plain,
( identity = sk_c9
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f422,f3]) ).
fof(f424,plain,
( sk_c8 = sk_c9
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f423,f351]) ).
fof(f426,plain,
( sk_c5 = multiply(sk_c8,sk_c9)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f299,f423]) ).
fof(f442,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f369,f351]) ).
fof(f443,plain,
( sk_c6 = multiply(inverse(sk_c10),sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f370,f351]) ).
fof(f444,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f443,f403]) ).
fof(f447,plain,
( sk_c8 = sk_c4
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f444,f442]) ).
fof(f454,plain,
( multiply(sk_c8,sk_c10) = sk_c9
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f199,f447]) ).
fof(f460,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c10 != multiply(X3,sk_c10) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f144,f420]) ).
fof(f470,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f460,f194]) ).
fof(f475,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f470]) ).
fof(f479,plain,
( sk_c10 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f475,f199]) ).
fof(f485,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f479,f420]) ).
fof(f486,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f485]) ).
fof(f489,plain,
( spl0_9
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f454,f197,f192,f175,f170,f146,f139,f135,f156]) ).
fof(f494,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_11 ),
inference(superposition,[],[f3,f167]) ).
fof(f496,plain,
( sk_c9 = multiply(sk_c10,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f136,f424]) ).
fof(f507,plain,
( sk_c10 = sk_c9
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f496,f330]) ).
fof(f515,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f157,f424]) ).
fof(f516,plain,
( sk_c8 = inverse(sk_c10)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f140,f507]) ).
fof(f530,plain,
( sk_c9 = inverse(sk_c10)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f516,f424]) ).
fof(f536,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f530,f507]) ).
fof(f548,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c2)
| ~ spl0_20 ),
inference(superposition,[],[f281,f233]) ).
fof(f550,plain,
( sk_c10 = multiply(sk_c10,sk_c2)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f548,f219]) ).
fof(f584,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f515,f507]) ).
fof(f637,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c8,multiply(sk_c10,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f157]) ).
fof(f639,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c10)
| ~ spl0_18 ),
inference(superposition,[],[f281,f205]) ).
fof(f641,plain,
( sk_c8 = multiply(sk_c8,sk_c10)
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f639,f167]) ).
fof(f642,plain,
( sk_c8 = sk_c9
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f641,f157]) ).
fof(f645,plain,
( sk_c2 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_21 ),
inference(superposition,[],[f281,f247]) ).
fof(f647,plain,
( sk_c8 = sk_c2
| ~ spl0_3
| ~ spl0_21 ),
inference(forward_demodulation,[],[f645,f367]) ).
fof(f657,plain,
( sk_c8 != sk_c10
| sk_c9 != multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f144,f140]) ).
fof(f660,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c1,sk_c10)
| ~ spl0_5
| ~ spl0_19 ),
inference(superposition,[],[f144,f219]) ).
fof(f662,plain,
( sk_c9 != multiply(sk_c1,sk_c10)
| ~ spl0_5
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f660]) ).
fof(f665,plain,
( sk_c9 != sk_c2
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f662,f233]) ).
fof(f671,definition,
( spl0_23
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f672,plain,
( sk_c10 = sk_c9
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f675,plain,
( sk_c10 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f657,f642]) ).
fof(f681,plain,
( sk_c8 != sk_c9
| sk_c10 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f675,f147]) ).
fof(f682,plain,
( sk_c10 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f681,f642]) ).
fof(f683,plain,
( ~ spl0_23
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f682,f203,f165,f156,f146,f143,f139,f671]) ).
fof(f684,plain,
( sk_c9 = sk_c2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f647,f642]) ).
fof(f685,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f684,f665]) ).
fof(f686,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f687,plain,
( sk_c9 != multiply(sk_c10,sk_c9)
| spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f137,f642]) ).
fof(f688,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f494,f642]) ).
fof(f712,plain,
( sk_c10 = sk_c9
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f247,f550]) ).
fof(f716,plain,
( sk_c2 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f281,f550]) ).
fof(f718,plain,
( identity = sk_c2
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f716,f3]) ).
fof(f728,plain,
( sk_c9 != inverse(sk_c9)
| spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f141,f642]) ).
fof(f729,plain,
( spl0_23
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f712,f245,f231,f217,f671]) ).
fof(f730,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(inverse(sk_c9),multiply(sk_c9,X0))
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f373,f642]) ).
fof(f732,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f730,f281]) ).
fof(f738,plain,
( identity = multiply(sk_c10,sk_c3)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f688,f672]) ).
fof(f739,plain,
( sk_c10 != inverse(sk_c10)
| spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f728,f672]) ).
fof(f754,plain,
( sk_c8 != multiply(sk_c10,sk_c10)
| spl0_6
| ~ spl0_23 ),
inference(forward_demodulation,[],[f148,f672]) ).
fof(f755,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f754,f642]) ).
fof(f756,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f755,f672]) ).
fof(f759,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f637,f642]) ).
fof(f760,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f759,f672]) ).
fof(f761,plain,
( sk_c2 = multiply(sk_c10,sk_c3)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f738,f718]) ).
fof(f777,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(superposition,[],[f760,f550]) ).
fof(f778,plain,
( sk_c9 = multiply(sk_c10,sk_c9)
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f760,f247]) ).
fof(f791,plain,
( $false
| spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f778,f687]) ).
fof(f792,plain,
( spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f791]) ).
fof(f793,plain,
( $false
| spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f777,f756]) ).
fof(f794,plain,
( spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f793]) ).
fof(f807,plain,
( sk_c9 = multiply(sk_c10,sk_c9)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f136,f642]) ).
fof(f808,plain,
( sk_c10 = sk_c2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f684,f672]) ).
fof(f821,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f807,f672]) ).
fof(f902,plain,
( sk_c2 = sk_c3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(superposition,[],[f761,f732]) ).
fof(f905,plain,
( sk_c10 = sk_c3
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f902,f808]) ).
fof(f921,plain,
( sk_c8 = inverse(sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(superposition,[],[f167,f905]) ).
fof(f930,plain,
( sk_c9 = inverse(sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f921,f642]) ).
fof(f932,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_demodulation,[],[f930,f672]) ).
fof(f933,plain,
( $false
| ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f932,f739]) ).
fof(f934,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f933]) ).
fof(f935,plain,
( sk_c8 = inverse(sk_c10)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f140,f672]) ).
fof(f942,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c9)
| sk_c8 != inverse(X2) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f151,f642]) ).
fof(f943,plain,
( sk_c9 = inverse(sk_c10)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f935,f642]) ).
fof(f949,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c10)
| sk_c8 != inverse(X2) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f942,f672]) ).
fof(f950,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f943,f672]) ).
fof(f954,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c10 != multiply(X2,sk_c10) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f949,f642]) ).
fof(f958,plain,
( ! [X2] :
( sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c10) )
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f954,f672]) ).
fof(f1001,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f958,f950]) ).
fof(f1008,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1001]) ).
fof(f1012,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1008,f821]) ).
fof(f1013,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1012]) ).
fof(f1022,plain,
( ! [X1] :
( sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f154,f732]) ).
fof(f1023,plain,
( ! [X1] :
( sk_c10 != inverse(X1)
| sk_c10 != multiply(X1,sk_c10) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1022,f672]) ).
fof(f1029,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(superposition,[],[f1023,f950]) ).
fof(f1036,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1029]) ).
fof(f1040,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1036,f821]) ).
fof(f1041,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1040]) ).
fof(f1050,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c4,sk_c10)
| ~ spl0_1
| ~ spl0_16 ),
inference(superposition,[],[f130,f194]) ).
fof(f1052,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_19 ),
inference(superposition,[],[f130,f219]) ).
fof(f1055,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1052,f950]) ).
fof(f1060,plain,
( sk_c10 != sk_c2
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1055,f233]) ).
fof(f1065,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1060,f808]) ).
fof(f1066,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1065]) ).
fof(f1074,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8) )
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f133,f672]) ).
fof(f1075,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c9)
| sk_c10 != inverse(X4) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1074,f642]) ).
fof(f1076,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c10) )
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1075,f672]) ).
fof(f1080,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(superposition,[],[f1076,f219]) ).
fof(f1082,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1080]) ).
fof(f1086,plain,
( sk_c10 != sk_c2
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1082,f233]) ).
fof(f1092,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1086,f808]) ).
fof(f1093,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1092]) ).
fof(f1098,definition,
( spl0_25
<=> sk_c10 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f1102,definition,
( spl0_26
<=> sk_c10 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f1105,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_1
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1050,f192,f129,f1102,f1098]) ).
fof(f1114,plain,
( sk_c10 = multiply(sk_c4,sk_c10)
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f199,f672]) ).
fof(f1115,plain,
( spl0_26
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f536,f197,f192,f146,f139,f135,f1102]) ).
fof(f1127,plain,
( sk_c8 = sk_c10
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f424,f672]) ).
fof(f1128,plain,
( multiply(sk_c8,sk_c10) = sk_c5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f426,f672]) ).
fof(f1140,definition,
( spl0_27
<=> sk_c10 = sk_c2 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f1141,plain,
( sk_c10 = sk_c2
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f1149,definition,
( spl0_29
<=> sk_c8 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f1150,plain,
( sk_c8 = sk_c10
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f1158,plain,
( spl0_25
| ~ spl0_17
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1114,f671,f197,f1098]) ).
fof(f1160,plain,
( spl0_29
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1127,f671,f197,f192,f146,f139,f1149]) ).
fof(f1161,plain,
( sk_c9 = sk_c5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1128,f157]) ).
fof(f1165,plain,
( sk_c10 = sk_c5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1161,f672]) ).
fof(f1168,plain,
( ! [X4] :
( sk_c10 != multiply(X4,sk_c8)
| sk_c10 != inverse(X4) )
| ~ spl0_2
| ~ spl0_23 ),
inference(forward_demodulation,[],[f1074,f672]) ).
fof(f1177,plain,
( sk_c10 = sk_c2
| ~ spl0_3
| ~ spl0_21
| ~ spl0_29 ),
inference(forward_demodulation,[],[f647,f1150]) ).
fof(f1178,plain,
( spl0_27
| ~ spl0_3
| ~ spl0_21
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1177,f1149,f245,f135,f1140]) ).
fof(f1233,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c10) )
| ~ spl0_2
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1168,f1150]) ).
fof(f1236,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c5,sk_c10)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_23
| ~ spl0_29 ),
inference(superposition,[],[f1233,f187]) ).
fof(f1239,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_2
| ~ spl0_19
| ~ spl0_23
| ~ spl0_29 ),
inference(superposition,[],[f1233,f219]) ).
fof(f1241,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_2
| ~ spl0_19
| ~ spl0_23
| ~ spl0_29 ),
inference(trivial_inequality_removal,[],[f1239]) ).
fof(f1245,plain,
( sk_c10 != sk_c2
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1241,f233]) ).
fof(f1248,plain,
( sk_c10 != multiply(sk_c5,sk_c10)
| ~ spl0_2
| ~ spl0_15
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1236,f672]) ).
fof(f1250,plain,
( $false
| ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_27
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1245,f1141]) ).
fof(f1251,plain,
( ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_27
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1250]) ).
fof(f1256,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1248,f1165]) ).
fof(f1259,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1256,f584]) ).
fof(f1260,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1267,plain,
( spl0_23
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f507,f197,f192,f146,f139,f135,f671]) ).
fof(f1331,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c10)
| sk_c8 != inverse(X2) )
| ~ spl0_7
| ~ spl0_29 ),
inference(forward_demodulation,[],[f151,f1150]) ).
fof(f1332,plain,
( ! [X2] :
( sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c10) )
| ~ spl0_7
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1331,f1150]) ).
fof(f1339,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c5,sk_c10)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f1332,f187]) ).
fof(f1347,plain,
( sk_c10 != multiply(sk_c5,sk_c10)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1339,f672]) ).
fof(f1353,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_demodulation,[],[f1347,f1165]) ).
fof(f1356,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1353,f584]) ).
fof(f1357,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f1356]) ).
fof(f1358,plain,
( ! [X1] :
( sk_c10 != inverse(X1)
| sk_c10 != multiply(sk_c10,multiply(X1,sk_c10)) )
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[],[f154,f672]) ).
fof(f1359,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c10,multiply(sk_c4,sk_c10))
| ~ spl0_8
| ~ spl0_16
| ~ spl0_23 ),
inference(superposition,[],[f1358,f194]) ).
fof(f1365,plain,
( sk_c10 != multiply(sk_c10,multiply(sk_c4,sk_c10))
| ~ spl0_8
| ~ spl0_16
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f1359]) ).
fof(f1369,plain,
( $false
| ~ spl0_8
| ~ spl0_16
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1365,f287]) ).
fof(f1370,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f1369]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| ~ spl0_6
| spl0_7
| spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f159]) ).
cnf(s5,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f183]) ).
cnf(s6,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f188]) ).
cnf(s7,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f189]) ).
cnf(s8,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f190]) ).
cnf(s9,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f195]) ).
cnf(s10,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f200]) ).
cnf(s11,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f201]) ).
cnf(s15,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f209]) ).
cnf(s16,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f210]) ).
cnf(s17,plain,
( spl0_3
| spl0_18 ),
inference(sat_conversion,[],[f211]) ).
cnf(s18,plain,
( spl0_4
| spl0_18 ),
inference(sat_conversion,[],[f212]) ).
cnf(s19,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f213]) ).
cnf(s20,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f214]) ).
cnf(s21,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f215]) ).
cnf(s26,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f224]) ).
cnf(s27,plain,
( spl0_3
| spl0_19 ),
inference(sat_conversion,[],[f225]) ).
cnf(s28,plain,
( spl0_4
| spl0_19 ),
inference(sat_conversion,[],[f226]) ).
cnf(s29,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f227]) ).
cnf(s30,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f228]) ).
cnf(s31,plain,
( spl0_6
| spl0_19 ),
inference(sat_conversion,[],[f229]) ).
cnf(s36,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f238]) ).
cnf(s37,plain,
( spl0_3
| spl0_20 ),
inference(sat_conversion,[],[f239]) ).
cnf(s38,plain,
( spl0_4
| spl0_20 ),
inference(sat_conversion,[],[f240]) ).
cnf(s39,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f241]) ).
cnf(s40,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f242]) ).
cnf(s41,plain,
( spl0_6
| spl0_20 ),
inference(sat_conversion,[],[f243]) ).
cnf(s46,plain,
( spl0_15
| spl0_21 ),
inference(sat_conversion,[],[f252]) ).
cnf(s47,plain,
( spl0_3
| spl0_21 ),
inference(sat_conversion,[],[f253]) ).
cnf(s48,plain,
( spl0_4
| spl0_21 ),
inference(sat_conversion,[],[f254]) ).
cnf(s49,plain,
( spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f255]) ).
cnf(s50,plain,
( spl0_17
| spl0_21 ),
inference(sat_conversion,[],[f256]) ).
cnf(s51,plain,
( spl0_6
| spl0_21 ),
inference(sat_conversion,[],[f257]) ).
cnf(s53,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f259]) ).
cnf(s54,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f260]) ).
cnf(s57,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f263]) ).
cnf(s58,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f264]) ).
cnf(s59,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f265]) ).
cnf(s60,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f266]) ).
cnf(s61,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f267]) ).
cnf(s64,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f486]) ).
cnf(s65,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f489]) ).
cnf(s72,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f683]) ).
cnf(s73,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f686]) ).
cnf(s76,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| spl0_23 ),
inference(sat_conversion,[],[f729]) ).
cnf(s79,plain,
( spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f792]) ).
cnf(s80,plain,
( spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23 ),
inference(sat_conversion,[],[f794]) ).
cnf(s92,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f934]) ).
cnf(s95,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f1013]) ).
cnf(s99,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_23 ),
inference(sat_conversion,[],[f1041]) ).
cnf(s104,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s109,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_9
| ~ spl0_11
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23 ),
inference(sat_conversion,[],[f1093]) ).
cnf(s111,plain,
( ~ spl0_1
| ~ spl0_16
| ~ spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f1105]) ).
cnf(s115,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| spl0_26 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s120,plain,
( ~ spl0_17
| ~ spl0_23
| spl0_25 ),
inference(sat_conversion,[],[f1158]) ).
cnf(s122,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23
| spl0_29 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s127,plain,
( ~ spl0_3
| ~ spl0_21
| spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s134,plain,
( ~ spl0_2
| ~ spl0_19
| ~ spl0_20
| ~ spl0_23
| ~ spl0_27
| ~ spl0_29 ),
inference(sat_conversion,[],[f1251]) ).
cnf(s138,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23
| ~ spl0_29 ),
inference(sat_conversion,[],[f1260]) ).
cnf(s142,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17
| spl0_23 ),
inference(sat_conversion,[],[f1267]) ).
cnf(s173,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_23
| ~ spl0_29 ),
inference(sat_conversion,[],[f1357]) ).
cnf(s174,plain,
( ~ spl0_8
| ~ spl0_16
| ~ spl0_23 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s178,plain,
spl0_3,
inference(rat,[],[s76,s79,s7,s17,s27,s37,s47,s57]) ).
cnf(s179,plain,
spl0_4,
inference(rat,[],[s92,s80,s76,s8,s18,s28,s38,s48,s58,s178]) ).
cnf(s180,plain,
( spl0_9
| ~ spl0_6 ),
inference(rat,[],[s65,s53,s54,s59,s60,s178,s179]) ).
cnf(s181,plain,
( spl0_23
| ~ spl0_16
| ~ spl0_6 ),
inference(rat,[],[s76,s30,s40,s50,s142,s179,s178]) ).
cnf(s182,plain,
( ~ spl0_16
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s181,s174]) ).
cnf(s183,plain,
( ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s99,s76,s9,s19,s29,s39,s49,s182,s180,s178,s179]) ).
cnf(s184,plain,
( spl0_17
| ~ spl0_23
| ~ spl0_7
| ~ spl0_9 ),
inference(rat,[],[s95,s10,s20,s178,s179]) ).
cnf(s185,plain,
( ~ spl0_17
| ~ spl0_29
| ~ spl0_16
| ~ spl0_6
| ~ spl0_9
| ~ spl0_7
| ~ spl0_23 ),
inference(rat,[],[s95,s6,s16,s173,s179,s178]) ).
cnf(s186,plain,
( ~ spl0_16
| ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s185,s122,s184,s181,s180,s179]) ).
cnf(s187,plain,
( spl0_8
| ~ spl0_9
| spl0_1
| spl0_2
| spl0_5
| ~ spl0_6 ),
inference(rat,[],[s95,s76,s9,s19,s29,s39,s49,s186,s1,s179,s178]) ).
cnf(s188,plain,
( ~ spl0_6
| spl0_5
| spl0_2
| spl0_1 ),
inference(rat,[],[s187,s183,s180]) ).
cnf(s189,plain,
spl0_6,
inference(rat,[],[s76,s80,s11,s21,s31,s41,s51,s61]) ).
cnf(s190,plain,
spl0_9,
inference(rat,[],[s180,s189]) ).
cnf(s192,plain,
( spl0_17
| ~ spl0_5 ),
inference(rat,[],[s73,s10,s20,s30,s40,s50,s178,s190]) ).
cnf(s193,plain,
( spl0_18
| ~ spl0_16
| ~ spl0_5 ),
inference(rat,[],[s64,s15,s16,s192,s179,s189]) ).
cnf(s194,plain,
( ~ spl0_16
| ~ spl0_5 ),
inference(rat,[],[s64,s5,s6,s72,s193,s181,s192,s179,s189,s190]) ).
cnf(s195,plain,
~ spl0_5,
inference(rat,[],[s73,s9,s19,s29,s39,s49,s194,s178,s190]) ).
cnf(s196,plain,
( ~ spl0_17
| ~ spl0_29
| ~ spl0_2
| ~ spl0_16
| ~ spl0_23 ),
inference(rat,[],[s134,s127,s26,s36,s46,s138,s190,s189,s179,s178]) ).
cnf(s197,plain,
( ~ spl0_17
| ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s196,s122,s181,s179,s189]) ).
cnf(s198,plain,
( ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s109,s10,s20,s30,s40,s50,s197,s181,s178,s190,s189]) ).
cnf(s199,plain,
~ spl0_2,
inference(rat,[],[s109,s76,s9,s19,s29,s39,s49,s198,s178,s190]) ).
cnf(s200,plain,
spl0_1,
inference(rat,[],[s188,s195,s189,s199]) ).
cnf(s201,plain,
( ~ spl0_17
| ~ spl0_16 ),
inference(rat,[],[s111,s120,s115,s181,s200,s178,s179,s189]) ).
cnf(s202,plain,
~ spl0_16,
inference(rat,[],[s104,s10,s20,s30,s40,s50,s201,s181,s200,s178,s179,s190,s189]) ).
cnf(s203,plain,
spl0_21,
inference(rat,[],[s49,s202]) ).
cnf(s204,plain,
spl0_20,
inference(rat,[],[s39,s202]) ).
cnf(s205,plain,
spl0_19,
inference(rat,[],[s29,s202]) ).
cnf(s206,plain,
spl0_18,
inference(rat,[],[s19,s202]) ).
cnf(s207,plain,
spl0_11,
inference(rat,[],[s9,s202]) ).
cnf(s208,plain,
spl0_23,
inference(rat,[],[s76,s204,s203,s205]) ).
cnf(s209,plain,
$false,
inference(rat,[],[s104,s208,s203,s204,s207,s190,s179,s178,s200,s206,s205]) ).
fof(f1381,plain,
$false,
inference(avatar_sat_refutation,[],[s209]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP366-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n004.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 09:56:37 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 3.02/1.33 % (3263875)Input is clausal, will run a generic CNF schedule.
% 3.02/1.33 % (3263880)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=1961634128:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.02/1.33 % (3263884)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=91285934:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.02/1.33 % (3263881)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3464755886:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.02/1.33 % (3263883)lrs+10_1_sil=8000:sp=occurrence:random_seed=4231983688:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.02/1.33 % (3263885)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2009982141:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.02/1.33 % (3263882)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2329113645:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.02/1.33 % (3263886)dis-21_1_sil=8000:lcm=predicate:random_seed=2688131824:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.02/1.33 % (3263886)Refutation not found, incomplete strategy
% 3.02/1.33 % (3263886)------------------------------
% 3.02/1.33 % (3263886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.33 % (3263886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.33 % (3263886)CaDiCaL version: 2.1.3
% 3.02/1.33 % (3263886)Termination reason: Refutation not found, incomplete strategy
% 3.02/1.33 % (3263886)Time elapsed: 0.003 s
% 3.02/1.33 % (3263886)Peak memory usage: 88 MB
% 3.02/1.33 % (3263886)Instructions burned: 3 (million)
% 3.02/1.33 % (3263885)First to succeed.
% 3.02/1.33 % (3263885)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3263875"
% 3.02/1.33 % (3263883)Instruction limit reached!
% 3.02/1.33 % (3263883)------------------------------
% 3.02/1.33 % (3263883)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.33 % (3263883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.33 % (3263883)CaDiCaL version: 2.1.3
% 3.02/1.33 % (3263883)Termination reason: Instruction limit
% 3.02/1.33 % (3263883)Termination phase: Saturation
% 3.02/1.33 % (3263883)Time elapsed: 0.052 s
% 3.02/1.33 % (3263883)Peak memory usage: 88 MB
% 3.02/1.33 % (3263883)Instructions burned: 108 (million)
% 3.02/1.33 % (3263884)Instruction limit reached!
% 3.02/1.33 % (3263884)------------------------------
% 3.02/1.33 % (3263884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.33 % (3263884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.33 % (3263884)CaDiCaL version: 2.1.3
% 3.02/1.33 % (3263884)Termination reason: Instruction limit
% 3.02/1.33 % (3263884)Termination phase: Saturation
% 3.02/1.33 % (3263884)Time elapsed: 0.064 s
% 3.02/1.33 % (3263884)Peak memory usage: 89 MB
% 3.02/1.33 % (3263884)Instructions burned: 114 (million)
% 3.02/1.33 % (3263894)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=2721000320:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.02/1.33 % (3263895)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=764949246: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)
% 3.02/1.33 % (3263886)------------------------------
% 3.02/1.33 % (3263886)------------------------------
% 3.02/1.33 % (3263885)Refutation found. Thanks to Tanya!
% 3.02/1.33 % SZS status Unsatisfiable for theBenchmark
% 3.02/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.78/1.53 % (3263885)------------------------------
% 3.78/1.53 % (3263885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.78/1.53 % (3263885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.78/1.53 % (3263885)CaDiCaL version: 2.1.3
% 3.78/1.53 % (3263885)Termination reason: Refutation
% 3.78/1.53 % (3263885)Time elapsed: 0.028 s
% 3.78/1.53 % (3263885)Peak memory usage: 90 MB
% 3.78/1.53 % (3263885)Instructions burned: 45 (million)
% 3.78/1.53 % (3263885)------------------------------
% 3.78/1.53 % (3263885)------------------------------
% 3.78/1.53 % (3263875)Success in time 0.447 s
% 3.78/1.53 % Vampire exiting
%------------------------------------------------------------------------------