%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n017.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 10:17:30 AM UTC 2026
% Result : Unsatisfiable 0.32s 0.50s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 66
% Syntax : Number of formulae : 537 ( 26 unt; 21 def)
% Number of atoms : 2475 ( 622 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 3834 (1896 ~;1917 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 166 ( 0 sgn 166 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',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/Axioms/GRP004-0.ax',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(f17,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c8,sk_c10) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c11 = multiply(sk_c8,sk_c10) ),
inference(reorient_equations,[],[f17]) ).
fof(f20,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c10,sk_c11) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f22]) ).
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(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(f38,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c1,sk_c10) = sk_c11
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f42]) ).
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(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(f58,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c10 = inverse(sk_c1)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c10 = inverse(sk_c1)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c10 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f62]) ).
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(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(f78,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f79,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f78]) ).
fof(f80,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f81,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f80]) ).
fof(f82,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f83,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f82]) ).
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(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(f98,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f99,plain,
( sk_c9 = inverse(sk_c2)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f98]) ).
fof(f100,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f101,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c6) ),
inference(reorient_equations,[],[f100]) ).
fof(f102,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f103,plain,
( sk_c9 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f102]) ).
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(f107,definition,
( spl0_1
<=> ! [X5,X4,X7,X6] :
( sk_c11 != multiply(X4,X5)
| multiply(X6,X5) != X7
| inverse(X6) != X7
| inverse(X7) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X4) != X5 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f108,plain,
( ! [X6,X7,X4,X5] :
( sk_c11 != multiply(X4,X5)
| multiply(X6,X5) != X7
| inverse(X6) != X7
| inverse(X7) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X4) != X5 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f111,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,definition,
( spl0_3
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f114,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,definition,
( spl0_4
<=> ! [X1] :
( sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f117,plain,
( ! [X1] :
( sk_c10 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,definition,
( spl0_5
<=> ! [X0] :
( sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f120,plain,
( ! [X0] :
( sk_c11 != multiply(X0,sk_c10)
| inverse(X0) != sk_c10 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,definition,
( spl0_6
<=> multiply(sk_c10,sk_c11) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f123,plain,
( multiply(sk_c10,sk_c11) = sk_c9
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( multiply(sk_c10,sk_c11) != sk_c9
| spl0_6 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f105,f122,f119,f116,f113,f110,f107]) ).
fof(f127,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f129,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f131,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f133,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f103,f131,f127]) ).
fof(f136,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f138,plain,
( sk_c8 = inverse(sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f101,f131,f136]) ).
fof(f141,definition,
( spl0_10
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f143,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f99,f131,f141]) ).
fof(f146,definition,
( spl0_11
<=> sk_c11 = multiply(sk_c8,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f148,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f149,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f97,f131,f146]) ).
fof(f151,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f153,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f95,f131,f151]) ).
fof(f156,definition,
( spl0_13
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f158,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f159,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f93,f131,f156]) ).
fof(f161,definition,
( spl0_14
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f163,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f166,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f168,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f171,definition,
( spl0_16
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f173,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f174,plain,
( spl0_16
| spl0_8 ),
inference(avatar_split_clause,[],[f87,f131,f171]) ).
fof(f176,definition,
( spl0_17
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f177,plain,
( sk_c10 != multiply(sk_c3,sk_c11)
| spl0_17 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f179,plain,
( spl0_17
| spl0_8 ),
inference(avatar_split_clause,[],[f85,f131,f176]) ).
fof(f181,definition,
( spl0_18
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f183,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f184,plain,
( spl0_7
| spl0_18 ),
inference(avatar_split_clause,[],[f83,f181,f127]) ).
fof(f185,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f81,f181,f136]) ).
fof(f186,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f79,f181,f141]) ).
fof(f187,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f77,f181,f146]) ).
fof(f188,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f75,f181,f151]) ).
fof(f189,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f73,f181,f156]) ).
fof(f192,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f67,f181,f171]) ).
fof(f193,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f65,f181,f176]) ).
fof(f195,definition,
( spl0_19
<=> sk_c10 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f197,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,plain,
( spl0_7
| spl0_19 ),
inference(avatar_split_clause,[],[f63,f195,f127]) ).
fof(f199,plain,
( spl0_9
| spl0_19 ),
inference(avatar_split_clause,[],[f61,f195,f136]) ).
fof(f200,plain,
( spl0_10
| spl0_19 ),
inference(avatar_split_clause,[],[f59,f195,f141]) ).
fof(f201,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f57,f195,f146]) ).
fof(f202,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f55,f195,f151]) ).
fof(f203,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f53,f195,f156]) ).
fof(f206,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f47,f195,f171]) ).
fof(f207,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f45,f195,f176]) ).
fof(f209,definition,
( spl0_20
<=> sk_c11 = multiply(sk_c1,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f210,plain,
( sk_c11 != multiply(sk_c1,sk_c10)
| spl0_20 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f211,plain,
( sk_c11 = multiply(sk_c1,sk_c10)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
( spl0_7
| spl0_20 ),
inference(avatar_split_clause,[],[f43,f209,f127]) ).
fof(f213,plain,
( spl0_9
| spl0_20 ),
inference(avatar_split_clause,[],[f41,f209,f136]) ).
fof(f214,plain,
( spl0_10
| spl0_20 ),
inference(avatar_split_clause,[],[f39,f209,f141]) ).
fof(f215,plain,
( spl0_11
| spl0_20 ),
inference(avatar_split_clause,[],[f37,f209,f146]) ).
fof(f216,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f35,f209,f151]) ).
fof(f217,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f33,f209,f156]) ).
fof(f220,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f27,f209,f171]) ).
fof(f221,plain,
( spl0_17
| spl0_20 ),
inference(avatar_split_clause,[],[f25,f209,f176]) ).
fof(f222,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f122,f127]) ).
fof(f223,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f21,f122,f136]) ).
fof(f225,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f122,f146]) ).
fof(f226,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f122,f151]) ).
fof(f227,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f122,f156]) ).
fof(f228,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f122,f161]) ).
fof(f229,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f122,f166]) ).
fof(f230,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f122,f171]) ).
fof(f231,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f122,f176]) ).
fof(f232,plain,
( sk_c8 = inverse(multiply(sk_c7,sk_c8))
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f138,f129]) ).
fof(f233,plain,
( inverse(sk_c7) = multiply(sk_c7,sk_c8)
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f143,f129]) ).
fof(f234,plain,
( sk_c11 = multiply(sk_c5,inverse(sk_c5))
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f158,f153]) ).
fof(f235,plain,
( inverse(sk_c5) = inverse(multiply(sk_c7,inverse(sk_c5)))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f232,f153]) ).
fof(f236,plain,
( inverse(sk_c7) = multiply(sk_c7,inverse(sk_c5))
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f233,f153]) ).
fof(f237,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c10)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f148,f153]) ).
fof(f239,plain,
( identity = multiply(inverse(sk_c5),multiply(sk_c7,inverse(sk_c5)))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f3,f235]) ).
fof(f240,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_16 ),
inference(superposition,[],[f3,f173]) ).
fof(f241,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_14 ),
inference(superposition,[],[f3,f163]) ).
fof(f242,plain,
( identity = multiply(multiply(sk_c7,inverse(sk_c5)),sk_c7)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f3,f236]) ).
fof(f243,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f244,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f243,f4]) ).
fof(f245,plain,
( identity = multiply(sk_c7,multiply(inverse(sk_c5),sk_c7))
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f242,f4]) ).
fof(f249,plain,
( ! [X0] : multiply(sk_c5,multiply(inverse(sk_c5),X0)) = multiply(sk_c11,X0)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f4,f234]) ).
fof(f254,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f240]) ).
fof(f255,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_16 ),
inference(forward_demodulation,[],[f254,f1]) ).
fof(f260,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f241]) ).
fof(f261,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl0_14 ),
inference(forward_demodulation,[],[f260,f1]) ).
fof(f265,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f255,f178]) ).
fof(f277,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f261,f168]) ).
fof(f292,plain,
( multiply(sk_c11,sk_c5) = multiply(sk_c5,identity)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f249,f3]) ).
fof(f294,plain,
( multiply(sk_c11,sk_c10) = multiply(sk_c5,sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f249,f237]) ).
fof(f297,plain,
( sk_c11 = multiply(sk_c5,sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f294,f265]) ).
fof(f305,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f244,f3]) ).
fof(f307,plain,
( multiply(sk_c7,inverse(sk_c5)) = multiply(inverse(inverse(sk_c5)),identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f244,f239]) ).
fof(f308,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f244,f244]) ).
fof(f314,plain,
( multiply(inverse(sk_c5),sk_c7) = multiply(inverse(sk_c7),identity)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f244,f245]) ).
fof(f315,plain,
( inverse(sk_c5) = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f244,f234]) ).
fof(f317,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f244,f265]) ).
fof(f321,plain,
( sk_c11 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f244,f297]) ).
fof(f322,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f244,f277]) ).
fof(f323,plain,
( sk_c3 = multiply(inverse(sk_c11),identity)
| ~ spl0_16 ),
inference(superposition,[],[f244,f240]) ).
fof(f324,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_14 ),
inference(superposition,[],[f244,f241]) ).
fof(f328,plain,
( identity = sk_c9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f322,f3]) ).
fof(f332,plain,
( identity = sk_c10
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f317,f3]) ).
fof(f333,plain,
( sk_c11 = inverse(sk_c5)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f315,f321]) ).
fof(f334,plain,
( multiply(inverse(sk_c5),sk_c7) = multiply(multiply(sk_c7,inverse(sk_c5)),identity)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f314,f236]) ).
fof(f339,plain,
( multiply(sk_c7,inverse(sk_c5)) = multiply(sk_c5,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f307,f308]) ).
fof(f340,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f305,f308]) ).
fof(f343,plain,
( multiply(inverse(sk_c5),sk_c7) = multiply(sk_c7,multiply(inverse(sk_c5),identity))
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f334,f4]) ).
fof(f346,plain,
( multiply(sk_c7,inverse(sk_c5)) = multiply(sk_c11,sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f339,f292]) ).
fof(f347,plain,
( multiply(sk_c7,inverse(sk_c5)) = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f343,f340]) ).
fof(f348,plain,
( multiply(sk_c11,sk_c5) = multiply(sk_c7,sk_c11)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f346,f333]) ).
fof(f349,plain,
( multiply(sk_c7,sk_c11) = multiply(sk_c11,sk_c7)
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f347,f333]) ).
fof(f350,plain,
( multiply(sk_c11,sk_c5) = multiply(sk_c11,sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f349,f348]) ).
fof(f352,plain,
( identity != multiply(sk_c10,sk_c11)
| spl0_6
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f124,f328]) ).
fof(f353,plain,
( identity != multiply(identity,sk_c11)
| spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f352,f332]) ).
fof(f354,plain,
( identity != sk_c11
| spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f353,f1]) ).
fof(f406,plain,
( sk_c9 = multiply(sk_c4,identity)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f168,f332]) ).
fof(f418,plain,
( sk_c9 = sk_c4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f406,f340]) ).
fof(f422,plain,
( sk_c9 = multiply(inverse(sk_c10),identity)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f418,f324]) ).
fof(f425,plain,
( sk_c9 = inverse(sk_c10)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f422,f340]) ).
fof(f428,plain,
( sk_c9 = inverse(identity)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f425,f332]) ).
fof(f431,plain,
( identity = inverse(identity)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f428,f328]) ).
fof(f435,plain,
( sk_c11 = inverse(multiply(sk_c7,sk_c11))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f235,f333]) ).
fof(f437,plain,
( identity = multiply(sk_c11,multiply(sk_c7,sk_c11))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f239,f333]) ).
fof(f438,plain,
( identity = multiply(sk_c7,multiply(sk_c11,sk_c7))
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f245,f333]) ).
fof(f443,plain,
( identity = multiply(sk_c11,sk_c5)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f3,f333]) ).
fof(f444,plain,
( identity = multiply(sk_c7,multiply(sk_c11,sk_c5))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f438,f350]) ).
fof(f445,plain,
( identity = multiply(sk_c11,multiply(sk_c11,sk_c5))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f437,f348]) ).
fof(f446,plain,
( sk_c11 = inverse(multiply(sk_c11,sk_c5))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f435,f348]) ).
fof(f447,plain,
( identity = multiply(sk_c7,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f444,f443]) ).
fof(f448,plain,
( identity = multiply(sk_c11,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f445,f443]) ).
fof(f449,plain,
( sk_c11 = inverse(identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f446,f443]) ).
fof(f450,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f447,f340]) ).
fof(f451,plain,
( identity = sk_c11
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f448,f340]) ).
fof(f452,plain,
( identity = sk_c11
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f449,f431]) ).
fof(f455,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f452,f354]) ).
fof(f456,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f457,plain,
( ! [X2] :
( identity != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f114,f332]) ).
fof(f465,plain,
( identity = multiply(identity,multiply(inverse(sk_c5),identity))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f245,f450]) ).
fof(f466,plain,
( inverse(sk_c5) = inverse(multiply(identity,inverse(sk_c5)))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f235,f450]) ).
fof(f469,plain,
( inverse(sk_c5) = inverse(inverse(sk_c5))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f466,f1]) ).
fof(f470,plain,
( identity = multiply(inverse(sk_c5),identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f465,f1]) ).
fof(f473,plain,
( sk_c11 = inverse(sk_c11)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f469,f333]) ).
fof(f474,plain,
( identity = inverse(sk_c5)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f470,f340]) ).
fof(f476,plain,
( identity = inverse(identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f473,f451]) ).
fof(f507,plain,
( identity = inverse(sk_c1)
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f197,f332]) ).
fof(f509,plain,
( sk_c5 = multiply(sk_c7,inverse(sk_c5))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f339,f340]) ).
fof(f569,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f3,f507]) ).
fof(f570,plain,
( identity = sk_c1
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f569,f1]) ).
fof(f583,plain,
( identity != sk_c10
| sk_c11 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f457,f178]) ).
fof(f595,plain,
( sk_c11 != inverse(sk_c3)
| ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f583,f332]) ).
fof(f602,plain,
( $false
| ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f595,f173]) ).
fof(f603,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f602]) ).
fof(f615,plain,
( sk_c10 != multiply(multiply(inverse(sk_c11),identity),sk_c11)
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f177,f323]) ).
fof(f617,plain,
( sk_c10 != multiply(inverse(sk_c11),multiply(identity,sk_c11))
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f615,f4]) ).
fof(f618,plain,
( sk_c10 != multiply(inverse(sk_c11),sk_c11)
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f617,f1]) ).
fof(f619,plain,
( identity != sk_c10
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f618,f3]) ).
fof(f629,plain,
( multiply(sk_c10,sk_c11) = inverse(sk_c2)
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f133,f123]) ).
fof(f630,plain,
( sk_c10 = multiply(sk_c2,multiply(sk_c10,sk_c11))
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f183,f123]) ).
fof(f638,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_19 ),
inference(superposition,[],[f3,f197]) ).
fof(f639,plain,
( sk_c10 = multiply(inverse(sk_c1),sk_c11)
| ~ spl0_20 ),
inference(superposition,[],[f244,f211]) ).
fof(f640,plain,
( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
| ~ spl0_20 ),
inference(superposition,[],[f4,f211]) ).
fof(f641,plain,
( sk_c10 = multiply(sk_c10,sk_c11)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f639,f197]) ).
fof(f642,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl0_19 ),
inference(superposition,[],[f244,f638]) ).
fof(f645,plain,
( sk_c1 = inverse(sk_c10)
| ~ spl0_19 ),
inference(forward_demodulation,[],[f642,f340]) ).
fof(f649,plain,
( identity = multiply(multiply(sk_c10,sk_c11),sk_c2)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f3,f629]) ).
fof(f650,plain,
( identity = multiply(sk_c10,multiply(sk_c11,sk_c2))
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_demodulation,[],[f649,f4]) ).
fof(f655,plain,
( sk_c11 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f211,f645]) ).
fof(f657,plain,
( identity = sk_c11
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f655,f3]) ).
fof(f659,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(multiply(sk_c10,sk_c11),X0))
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f4,f630]) ).
fof(f660,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c10,multiply(sk_c11,X0)))
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f659,f4]) ).
fof(f662,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c10,multiply(identity,X0)))
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f660,f657]) ).
fof(f664,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c2,multiply(sk_c10,X0))
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f662,f1]) ).
fof(f681,plain,
( sk_c10 != sk_c11
| sk_c11 != inverse(identity)
| ~ spl0_3 ),
inference(superposition,[],[f114,f1]) ).
fof(f710,plain,
( multiply(inverse(sk_c10),identity) = multiply(sk_c11,sk_c2)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f244,f650]) ).
fof(f713,plain,
( multiply(inverse(sk_c10),identity) = multiply(identity,sk_c2)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f710,f657]) ).
fof(f716,plain,
( sk_c2 = multiply(inverse(sk_c10),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f713,f1]) ).
fof(f717,plain,
( sk_c2 = inverse(sk_c10)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f716,f340]) ).
fof(f719,plain,
( sk_c10 = multiply(inverse(sk_c10),multiply(sk_c10,sk_c11))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f630,f717]) ).
fof(f722,plain,
( sk_c10 = sk_c11
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f719,f244]) ).
fof(f724,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f722,f657]) ).
fof(f726,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f724,f619]) ).
fof(f727,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f826,plain,
( ! [X1] :
( sk_c10 != multiply(X1,multiply(sk_c10,sk_c11))
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f117,f123]) ).
fof(f827,plain,
( ! [X1] :
( sk_c10 != multiply(X1,sk_c10)
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f826,f641]) ).
fof(f865,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X4,X5)
| multiply(X6,X5) != X7
| inverse(X6) != X7
| inverse(X7) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X4) != X5 )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f108,f657]) ).
fof(f1003,plain,
( multiply(sk_c1,identity) = multiply(sk_c11,sk_c1)
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f640,f638]) ).
fof(f1009,plain,
( multiply(inverse(sk_c10),identity) = multiply(sk_c11,inverse(sk_c10))
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1003,f645]) ).
fof(f1057,plain,
( identity = multiply(sk_c2,identity)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f664,f638]) ).
fof(f1066,plain,
( identity = sk_c2
| ~ spl0_6
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1057,f340]) ).
fof(f1104,plain,
( ! [X6,X7,X4,X5] :
( sk_c11 != multiply(X5,identity)
| identity != multiply(X4,X5)
| multiply(X6,X5) != X7
| inverse(X6) != X7
| inverse(X7) != X5
| inverse(X4) != X5 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f865,f724]) ).
fof(f1105,plain,
( multiply(inverse(identity),identity) = multiply(sk_c11,inverse(identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1009,f724]) ).
fof(f1110,plain,
( ! [X6,X7,X4,X5] :
( sk_c11 != X5
| identity != multiply(X4,X5)
| multiply(X6,X5) != X7
| inverse(X6) != X7
| inverse(X7) != X5
| inverse(X4) != X5 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1104,f340]) ).
fof(f1111,plain,
( multiply(identity,inverse(identity)) = multiply(inverse(identity),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1105,f657]) ).
fof(f1115,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X4,X5)
| identity != X5
| multiply(X6,X5) != X7
| inverse(X6) != X7
| inverse(X7) != X5
| inverse(X4) != X5 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1110,f657]) ).
fof(f1116,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1111,f3]) ).
fof(f1120,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1116,f1]) ).
fof(f1168,plain,
( ! [X0,X1] :
( identity != sk_c11
| identity != sk_c10
| multiply(X0,sk_c10) != X1
| inverse(X0) != X1
| sk_c10 != inverse(X1)
| sk_c10 != inverse(sk_c1) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f1115,f211]) ).
fof(f1178,plain,
( ! [X0,X1] :
( identity != sk_c10
| multiply(X0,sk_c10) != X1
| inverse(X0) != X1
| sk_c10 != inverse(X1)
| sk_c10 != inverse(sk_c1) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1168,f657]) ).
fof(f1190,plain,
( ! [X0,X1] :
( multiply(X0,sk_c10) != X1
| inverse(X0) != X1
| sk_c10 != inverse(X1)
| sk_c10 != inverse(sk_c1) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1178,f724]) ).
fof(f1200,plain,
( ! [X0,X1] :
( multiply(X0,sk_c10) != X1
| inverse(X0) != X1
| sk_c10 != inverse(X1) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1190,f197]) ).
fof(f1207,plain,
( ! [X0,X1] :
( multiply(X0,identity) != X1
| inverse(X0) != X1
| sk_c10 != inverse(X1) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1200,f724]) ).
fof(f1213,plain,
( ! [X0,X1] :
( X0 != X1
| inverse(X0) != X1
| sk_c10 != inverse(X1) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1207,f340]) ).
fof(f1219,plain,
( ! [X0,X1] :
( identity != inverse(X1)
| X0 != X1
| inverse(X0) != X1 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1213,f724]) ).
fof(f1254,plain,
( ! [X0] :
( identity != sk_c10
| sk_c1 != X0
| inverse(X0) != sk_c1 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f1219,f197]) ).
fof(f1257,plain,
( ! [X0] :
( sk_c1 != X0
| inverse(X0) != sk_c1 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1254,f724]) ).
fof(f1261,plain,
( ! [X0] :
( inverse(sk_c10) != X0
| inverse(X0) != sk_c1 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1257,f645]) ).
fof(f1272,plain,
( ! [X0] :
( inverse(identity) != X0
| inverse(X0) != sk_c1 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1261,f724]) ).
fof(f1274,definition,
( spl0_25
<=> identity = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f1275,plain,
( identity = inverse(sk_c5)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f1276,plain,
( identity != inverse(sk_c5)
| spl0_25 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f1282,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c1 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1272,f1120]) ).
fof(f1284,plain,
( ! [X0] :
( inverse(X0) != inverse(sk_c10)
| identity != X0 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1282,f645]) ).
fof(f1286,plain,
( ! [X0] :
( inverse(X0) != inverse(identity)
| identity != X0 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1284,f724]) ).
fof(f1288,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1286,f1120]) ).
fof(f1325,plain,
( ! [X0] :
( sk_c11 != multiply(X0,identity)
| inverse(X0) != sk_c10 )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f120,f724]) ).
fof(f1326,plain,
( ! [X0] :
( sk_c11 != X0
| inverse(X0) != sk_c10 )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1325,f340]) ).
fof(f1327,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c10 )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1326,f657]) ).
fof(f1328,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1327,f724]) ).
fof(f1333,plain,
( identity != multiply(sk_c10,sk_c11)
| identity != sk_c2
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f1328,f629]) ).
fof(f1334,plain,
( identity != multiply(sk_c10,sk_c11)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1333,f1066]) ).
fof(f1338,plain,
( identity != sk_c10
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1334,f641]) ).
fof(f1342,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1338,f724]) ).
fof(f1343,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1342]) ).
fof(f1344,plain,
( ! [X3] :
( sk_c9 != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f111,f724]) ).
fof(f1345,plain,
( ! [X3] :
( sk_c9 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1344,f340]) ).
fof(f1346,plain,
( ! [X3] :
( multiply(sk_c10,sk_c11) != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1345,f123]) ).
fof(f1347,plain,
( ! [X3] :
( sk_c10 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1346,f641]) ).
fof(f1348,plain,
( ! [X3] :
( identity != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1347,f724]) ).
fof(f1349,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != X3 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1348,f724]) ).
fof(f1359,plain,
( identity != multiply(sk_c10,sk_c11)
| identity != sk_c2
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f1349,f629]) ).
fof(f1360,plain,
( identity != multiply(sk_c10,sk_c11)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1359,f1066]) ).
fof(f1364,plain,
( identity != sk_c10
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1360,f641]) ).
fof(f1368,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1364,f724]) ).
fof(f1369,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1368]) ).
fof(f1371,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f827,f724]) ).
fof(f1373,plain,
( ! [X1] :
( identity != X1
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1371,f340]) ).
fof(f1375,plain,
( ! [X1] :
( multiply(sk_c10,sk_c11) != inverse(X1)
| identity != X1 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1373,f123]) ).
fof(f1377,plain,
( ! [X1] :
( sk_c10 != inverse(X1)
| identity != X1 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1375,f641]) ).
fof(f1379,plain,
( ! [X1] :
( identity != inverse(X1)
| identity != X1 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1377,f724]) ).
fof(f1395,plain,
( identity != multiply(sk_c10,sk_c11)
| identity != sk_c2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f1379,f629]) ).
fof(f1399,plain,
( identity != multiply(sk_c10,sk_c11)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1395,f1066]) ).
fof(f1403,plain,
( identity != sk_c10
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1399,f641]) ).
fof(f1407,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1403,f724]) ).
fof(f1408,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1468,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_25 ),
inference(superposition,[],[f3,f1275]) ).
fof(f1469,plain,
( identity = sk_c5
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1468,f1]) ).
fof(f1698,plain,
( identity != multiply(sk_c10,sk_c11)
| identity != sk_c2
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f1288,f629]) ).
fof(f1702,plain,
( identity != multiply(sk_c10,sk_c11)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1698,f1066]) ).
fof(f1704,plain,
( identity != sk_c10
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1702,f641]) ).
fof(f1707,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1704,f724]) ).
fof(f1708,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1707]) ).
fof(f1713,plain,
( identity != sk_c10
| sk_c11 != inverse(identity)
| ~ spl0_3
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f681,f657]) ).
fof(f1718,plain,
( sk_c11 != inverse(identity)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1713,f724]) ).
fof(f1725,plain,
( identity != sk_c11
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1718,f1120]) ).
fof(f1729,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f1725,f657]) ).
fof(f1730,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f1729]) ).
fof(f1738,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f474,f1276]) ).
fof(f1739,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f1738]) ).
fof(f1862,plain,
( ! [X6,X7,X4,X5] :
( sk_c11 != multiply(X5,identity)
| sk_c11 != multiply(X4,X5)
| multiply(X6,X5) != X7
| inverse(X6) != X7
| inverse(X7) != X5
| inverse(X4) != X5 )
| ~ spl0_1
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f108,f332]) ).
fof(f1881,plain,
( ! [X6,X7,X4,X5] :
( sk_c11 != X5
| sk_c11 != multiply(X4,X5)
| multiply(X6,X5) != X7
| inverse(X6) != X7
| inverse(X7) != X5
| inverse(X4) != X5 )
| ~ spl0_1
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1862,f340]) ).
fof(f1895,plain,
( ! [X6,X7,X4,X5] :
( identity != X5
| sk_c11 != multiply(X4,X5)
| multiply(X6,X5) != X7
| inverse(X6) != X7
| inverse(X7) != X5
| inverse(X4) != X5 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1881,f451]) ).
fof(f1904,plain,
( ! [X6,X7,X4,X5] :
( identity != multiply(X4,X5)
| identity != X5
| multiply(X6,X5) != X7
| inverse(X6) != X7
| inverse(X7) != X5
| inverse(X4) != X5 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1895,f451]) ).
fof(f1975,plain,
( ! [X2,X0,X1] :
( identity != X0
| identity != X0
| multiply(X1,X0) != X2
| inverse(X1) != X2
| inverse(X2) != X0
| inverse(identity) != X0 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1904,f1]) ).
fof(f1987,plain,
( ! [X2,X0,X1] :
( identity != X0
| multiply(X1,X0) != X2
| inverse(X1) != X2
| inverse(X2) != X0
| inverse(identity) != X0 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f1975]) ).
fof(f1992,plain,
( ! [X2,X0,X1] :
( identity != X0
| identity != X0
| multiply(X1,X0) != X2
| inverse(X1) != X2
| inverse(X2) != X0 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1987,f476]) ).
fof(f1993,plain,
( ! [X2,X0,X1] :
( identity != X0
| multiply(X1,X0) != X2
| inverse(X1) != X2
| inverse(X2) != X0 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f1992]) ).
fof(f2045,plain,
( ! [X0,X1] :
( multiply(X0,identity) != X1
| inverse(X0) != X1
| identity != inverse(X1) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(equality_resolution,[],[f1993]) ).
fof(f2046,plain,
( ! [X0,X1] :
( inverse(X0) != X1
| X0 != X1
| identity != inverse(X1) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2045,f340]) ).
fof(f2225,plain,
( ! [X1] :
( sk_c10 != multiply(X1,multiply(sk_c10,sk_c11))
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f117,f123]) ).
fof(f2228,plain,
( ! [X1] :
( sk_c10 != multiply(X1,multiply(sk_c10,identity))
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2225,f451]) ).
fof(f2231,plain,
( ! [X1] :
( sk_c10 != multiply(X1,sk_c10)
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2228,f340]) ).
fof(f2234,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2231,f332]) ).
fof(f2237,plain,
( ! [X1] :
( identity != X1
| sk_c9 != inverse(X1) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2234,f340]) ).
fof(f2240,plain,
( ! [X1] :
( multiply(sk_c10,sk_c11) != inverse(X1)
| identity != X1 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2237,f123]) ).
fof(f2243,plain,
( ! [X1] :
( inverse(X1) != multiply(sk_c10,identity)
| identity != X1 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2240,f451]) ).
fof(f2244,plain,
( ! [X1] :
( sk_c10 != inverse(X1)
| identity != X1 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2243,f340]) ).
fof(f2245,plain,
( ! [X1] :
( identity != inverse(X1)
| identity != X1 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2244,f332]) ).
fof(f2294,plain,
( ! [X3] :
( sk_c9 != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f111,f332]) ).
fof(f2295,plain,
( ! [X3] :
( sk_c9 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2294,f340]) ).
fof(f2296,plain,
( ! [X3] :
( multiply(sk_c10,sk_c11) != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2295,f123]) ).
fof(f2297,plain,
( ! [X3] :
( multiply(sk_c10,identity) != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2296,f451]) ).
fof(f2298,plain,
( ! [X3] :
( sk_c10 != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2297,f340]) ).
fof(f2299,plain,
( ! [X3] :
( identity != X3
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2298,f332]) ).
fof(f2300,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != X3 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2299,f332]) ).
fof(f2340,plain,
( identity != inverse(sk_c5)
| identity != multiply(sk_c7,inverse(sk_c5))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f2300,f235]) ).
fof(f2352,plain,
( identity != multiply(sk_c7,inverse(sk_c5))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2340,f1275]) ).
fof(f2357,plain,
( identity != sk_c5
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_demodulation,[],[f2352,f509]) ).
fof(f2358,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2357,f1469]) ).
fof(f2359,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f2358]) ).
fof(f2360,plain,
( ! [X0] :
( sk_c11 != multiply(X0,identity)
| inverse(X0) != sk_c10 )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f120,f332]) ).
fof(f2361,plain,
( ! [X0] :
( sk_c11 != X0
| inverse(X0) != sk_c10 )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2360,f340]) ).
fof(f2362,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c10 )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2361,f451]) ).
fof(f2363,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f2362,f332]) ).
fof(f2405,plain,
( identity != identity
| identity != identity
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f2363,f476]) ).
fof(f2411,plain,
( identity != identity
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f2405]) ).
fof(f2412,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f2411]) ).
fof(f2413,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f2412]) ).
fof(f2445,plain,
( sk_c11 != multiply(sk_c1,identity)
| ~ spl0_16
| ~ spl0_17
| spl0_20 ),
inference(forward_demodulation,[],[f210,f332]) ).
fof(f2452,plain,
( sk_c11 != sk_c1
| ~ spl0_16
| ~ spl0_17
| spl0_20 ),
inference(forward_demodulation,[],[f2445,f340]) ).
fof(f2459,plain,
( identity != sk_c11
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19
| spl0_20 ),
inference(forward_demodulation,[],[f2452,f570]) ).
fof(f2465,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f2459,f451]) ).
fof(f2466,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f2465]) ).
fof(f2759,plain,
( ! [X0] :
( identity != X0
| identity != X0
| identity != inverse(X0) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f2046,f476]) ).
fof(f2767,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f2759]) ).
fof(f2780,plain,
( identity != inverse(sk_c5)
| identity != multiply(sk_c7,inverse(sk_c5))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f2767,f235]) ).
fof(f2800,plain,
( identity != multiply(sk_c7,inverse(sk_c5))
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2780,f1275]) ).
fof(f2812,plain,
( identity != sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_demodulation,[],[f2800,f509]) ).
fof(f2814,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2812,f1469]) ).
fof(f2815,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f2814]) ).
fof(f2829,plain,
( identity != identity
| identity != identity
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f2245,f476]) ).
fof(f2830,plain,
( identity != inverse(sk_c5)
| identity != multiply(sk_c7,inverse(sk_c5))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f2245,f235]) ).
fof(f2838,plain,
( identity != identity
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f2829]) ).
fof(f2839,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f2838]) ).
fof(f2840,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f2839]) ).
fof(f2850,plain,
( identity != multiply(sk_c7,inverse(sk_c5))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2830,f1275]) ).
fof(f2862,plain,
( identity != sk_c5
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_demodulation,[],[f2850,f509]) ).
fof(f2864,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f2862,f1469]) ).
fof(f2865,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f2864]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f125]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f134]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f139]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f144]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f149]) ).
cnf(s6,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f154]) ).
cnf(s7,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f159]) ).
cnf(s10,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f174]) ).
cnf(s11,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f179]) ).
cnf(s12,plain,
( spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f184]) ).
cnf(s13,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f185]) ).
cnf(s14,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f186]) ).
cnf(s15,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f187]) ).
cnf(s16,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f188]) ).
cnf(s17,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f189]) ).
cnf(s20,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f192]) ).
cnf(s21,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f193]) ).
cnf(s22,plain,
( spl0_7
| spl0_19 ),
inference(sat_conversion,[],[f198]) ).
cnf(s23,plain,
( spl0_9
| spl0_19 ),
inference(sat_conversion,[],[f199]) ).
cnf(s24,plain,
( spl0_10
| spl0_19 ),
inference(sat_conversion,[],[f200]) ).
cnf(s25,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f201]) ).
cnf(s26,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f202]) ).
cnf(s27,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f203]) ).
cnf(s30,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f206]) ).
cnf(s31,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f207]) ).
cnf(s32,plain,
( spl0_7
| spl0_20 ),
inference(sat_conversion,[],[f212]) ).
cnf(s33,plain,
( spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f213]) ).
cnf(s34,plain,
( spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f214]) ).
cnf(s35,plain,
( spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f215]) ).
cnf(s36,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f216]) ).
cnf(s37,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f217]) ).
cnf(s40,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f220]) ).
cnf(s41,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f221]) ).
cnf(s42,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f222]) ).
cnf(s43,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f223]) ).
cnf(s45,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f225]) ).
cnf(s46,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f226]) ).
cnf(s47,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f227]) ).
cnf(s48,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f228]) ).
cnf(s49,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f229]) ).
cnf(s50,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f230]) ).
cnf(s51,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f231]) ).
cnf(s53,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f456]) ).
cnf(s58,plain,
( ~ spl0_3
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f603]) ).
cnf(s67,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_16
| spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f727]) ).
cnf(s82,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1343]) ).
cnf(s84,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1369]) ).
cnf(s87,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1408]) ).
cnf(s93,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1708]) ).
cnf(s97,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1730]) ).
cnf(s99,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| spl0_25 ),
inference(sat_conversion,[],[f1739]) ).
cnf(s117,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(sat_conversion,[],[f2359]) ).
cnf(s118,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f2413]) ).
cnf(s123,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f2466]) ).
cnf(s132,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(sat_conversion,[],[f2815]) ).
cnf(s133,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f2840]) ).
cnf(s141,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_25 ),
inference(sat_conversion,[],[f2865]) ).
cnf(s142,plain,
spl0_6,
inference(rat,[],[s53,s42,s43,s45,s46,s47,s48,s49,s50,s51]) ).
cnf(s143,plain,
( spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s118,s3,s4,s5,s6,s7,s10,s11]) ).
cnf(s144,plain,
( ~ spl0_16
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s67,s21,s31,s41,s118,s143,s142]) ).
cnf(s145,plain,
( spl0_16
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s82,s20,s30,s40,s142]) ).
cnf(s146,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s82,s17,s27,s37,s142]) ).
cnf(s147,plain,
( spl0_12
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s82,s16,s26,s36,s142]) ).
cnf(s148,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s82,s15,s25,s35,s142]) ).
cnf(s149,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s82,s14,s24,s34,s142]) ).
cnf(s150,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s82,s13,s23,s33,s144,s149,s148,s147,s146,s145,s143,s142]) ).
cnf(s151,plain,
~ spl0_5,
inference(rat,[],[s82,s2,s12,s22,s32,s150,s142]) ).
cnf(s152,plain,
( ~ spl0_16
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s67,s21,s31,s41,s133,s142]) ).
cnf(s153,plain,
( spl0_16
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s87,s20,s30,s40,s142]) ).
cnf(s154,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s87,s17,s27,s37,s142]) ).
cnf(s155,plain,
( spl0_12
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s87,s16,s26,s36,s142]) ).
cnf(s156,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s87,s15,s25,s35,s142]) ).
cnf(s157,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_4 ),
inference(rat,[],[s87,s14,s24,s34,s142]) ).
cnf(s158,plain,
( ~ spl0_10
| ~ spl0_16
| ~ spl0_4
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s87,s13,s23,s33,s152,s142]) ).
cnf(s159,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s158,s157,s156,s155,s154,s153]) ).
cnf(s160,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s141,s99,s3,s4,s5,s6,s7,s10,s11,s159,s142]) ).
cnf(s161,plain,
~ spl0_4,
inference(rat,[],[s87,s2,s12,s22,s32,s160,s142]) ).
cnf(s162,plain,
( ~ spl0_16
| ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s67,s21,s31,s41,s58,s142]) ).
cnf(s163,plain,
( ~ spl0_8
| ~ spl0_3 ),
inference(rat,[],[s97,s20,s30,s40,s162,s142]) ).
cnf(s164,plain,
~ spl0_3,
inference(rat,[],[s58,s10,s11,s163]) ).
cnf(s165,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_7
| ~ spl0_16
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s123,s33,s41,s84,s142]) ).
cnf(s166,plain,
( spl0_19
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_7
| ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s117,s99,s23,s31,s142]) ).
cnf(s167,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_7
| ~ spl0_16
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s117,s99,s13,s21,s165,s166,s142]) ).
cnf(s168,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s84,s17,s27,s37,s142]) ).
cnf(s169,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s84,s14,s24,s34,s142]) ).
cnf(s170,plain,
( spl0_12
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s84,s16,s26,s36,s142]) ).
cnf(s171,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s84,s15,s25,s35,s142]) ).
cnf(s172,plain,
( spl0_7
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s84,s12,s22,s32,s142]) ).
cnf(s173,plain,
( ~ spl0_7
| ~ spl0_13
| ~ spl0_2
| ~ spl0_10
| ~ spl0_12
| ~ spl0_11
| ~ spl0_8 ),
inference(rat,[],[s84,s20,s30,s40,s167,s142]) ).
cnf(s174,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s173,s172,s171,s170,s169,s168]) ).
cnf(s175,plain,
~ spl0_2,
inference(rat,[],[s117,s99,s2,s3,s4,s5,s6,s7,s10,s11,s174,s142]) ).
cnf(s176,plain,
spl0_1,
inference(rat,[],[s1,s151,s161,s142,s164,s175]) ).
cnf(s177,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_7
| ~ spl0_16
| ~ spl0_8 ),
inference(rat,[],[s123,s33,s41,s93,s142,s176]) ).
cnf(s178,plain,
( ~ spl0_17
| ~ spl0_9
| ~ spl0_7
| ~ spl0_16
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(rat,[],[s132,s99,s176]) ).
cnf(s179,plain,
( spl0_19
| ~ spl0_10
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_7
| ~ spl0_16 ),
inference(rat,[],[s178,s23,s31]) ).
cnf(s180,plain,
( ~ spl0_10
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11
| ~ spl0_7
| ~ spl0_16
| ~ spl0_8 ),
inference(rat,[],[s178,s13,s21,s177,s179]) ).
cnf(s181,plain,
( spl0_10
| ~ spl0_8 ),
inference(rat,[],[s93,s14,s24,s34,s142,s176]) ).
cnf(s182,plain,
( spl0_13
| ~ spl0_8 ),
inference(rat,[],[s93,s17,s27,s37,s142,s176]) ).
cnf(s183,plain,
( spl0_12
| ~ spl0_8 ),
inference(rat,[],[s93,s16,s26,s36,s142,s176]) ).
cnf(s184,plain,
( spl0_11
| ~ spl0_8 ),
inference(rat,[],[s93,s15,s25,s35,s142,s176]) ).
cnf(s185,plain,
( spl0_7
| ~ spl0_8 ),
inference(rat,[],[s93,s12,s22,s32,s142,s176]) ).
cnf(s186,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s93,s20,s30,s40,s180,s176,s142]) ).
cnf(s187,plain,
~ spl0_8,
inference(rat,[],[s186,s185,s184,s183,s182,s181]) ).
cnf(s188,plain,
spl0_17,
inference(rat,[],[s11,s187]) ).
cnf(s189,plain,
spl0_16,
inference(rat,[],[s10,s187]) ).
cnf(s192,plain,
spl0_13,
inference(rat,[],[s7,s187]) ).
cnf(s193,plain,
spl0_12,
inference(rat,[],[s6,s187]) ).
cnf(s194,plain,
spl0_11,
inference(rat,[],[s5,s187]) ).
cnf(s195,plain,
spl0_10,
inference(rat,[],[s4,s187]) ).
cnf(s196,plain,
spl0_9,
inference(rat,[],[s3,s187]) ).
cnf(s197,plain,
spl0_7,
inference(rat,[],[s2,s187]) ).
cnf(s199,plain,
$false,
inference(rat,[],[s178,s192,s193,s194,s195,s189,s197,s196,s188]) ).
fof(f2866,plain,
$false,
inference(avatar_sat_refutation,[],[s199]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.12/0.37 % Computer : n017.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:49:20 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.50 % (2294559)Will run a generic schedule for satisfiability detection.
% 0.32/0.50 % (2294566)% WARNING: option uhcvi not known.
% 0.32/0.50 % (2294570)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3698902665:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.32/0.50 % (2294567)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=64740664:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.32/0.50 % (2294566)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3110495830:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.32/0.50 % (2294571)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1373470714:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.32/0.50 % (2294565)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3145448157_2999 on theBenchmark for (2999ds/0Mi)
% 0.32/0.50 % (2294568)dis+10_1_sil=32000:sp=arity:random_seed=4003441681:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.32/0.50 % (2294569)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=533535963:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.32/0.50 % TRYING [1]
% 0.32/0.50 % TRYING [2]
% 0.32/0.50 % TRYING [3]
% 0.32/0.50 % TRYING [4]
% 0.32/0.50 % (2294570) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2294559-2294570"...
% 0.32/0.50 % (2294570)...printing done.
% 0.32/0.50 % (2294570)Refutation found. Thanks to Tanya!
% 0.32/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.32/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.32/0.51 % (2294570)------------------------------
% 0.32/0.51 % (2294570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.51 % (2294570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.51 % (2294570)CaDiCaL version: 2.1.3
% 0.32/0.51 % (2294570)Termination reason: Refutation
% 0.32/0.51 % (2294570)Time elapsed: 0.044 s
% 0.32/0.51 % (2294570)Peak memory usage: 13 MB
% 0.32/0.51 % (2294570)Instructions burned: 91 (million)
% 0.32/0.51 % (2294559)Success in time 0.085 s
% 0.32/0.51 % Vampire exiting
%------------------------------------------------------------------------------