%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP325-1 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:39 AM UTC 2026
% Result : Unsatisfiable 1.87s 1.31s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 59
% Syntax : Number of formulae : 386 ( 22 unt; 29 def)
% Number of atoms : 1192 ( 363 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1547 ( 741 ~; 777 |; 0 &)
% ( 29 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 31 ( 29 usr; 30 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 53 !; 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_c9,sk_c10) = sk_c8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c8 = inverse(sk_c9) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c6) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c6 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c9 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c9) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f30]) ).
fof(f42,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c8 = inverse(sk_c9) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c10,sk_c3) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f48]) ).
fof(f60,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c9) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c3
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f66]) ).
fof(f78,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f79,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f78]) ).
fof(f80,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f81,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f80]) ).
fof(f82,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f83,plain,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c9) ),
inference(reorient_equations,[],[f82]) ).
fof(f84,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f85,plain,
( sk_c10 = inverse(sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f84]) ).
fof(f96,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| multiply(X0,sk_c9) != sk_c10
| inverse(X0) != sk_c9
| multiply(sk_c10,X1) != sk_c9
| multiply(X2,sk_c10) != X1
| inverse(X2) != sk_c10
| 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_47) ).
fof(f97,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c9 != multiply(sk_c10,X1)
| multiply(X2,sk_c10) != X1
| sk_c10 != inverse(X2)
| 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,[],[f96]) ).
fof(f98,plain,
! [X2,X3,X0,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != inverse(X2)
| 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,[],[f97]) ).
fof(f99,plain,
! [X2,X3,X0,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != inverse(X2)
| 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,[],[f98]) ).
fof(f101,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(f102,plain,
( ! [X5] :
( sk_c10 != inverse(inverse(X5))
| inverse(X5) != multiply(X5,sk_c10) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,definition,
( spl0_2
<=> ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f105,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c9 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,definition,
( spl0_3
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f108,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f109,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f111,definition,
( spl0_4
<=> sk_c8 = inverse(sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f112,plain,
( sk_c8 = inverse(sk_c9)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f113,plain,
( sk_c8 != inverse(sk_c9)
| spl0_4 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f115,definition,
( spl0_5
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f116,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,definition,
( spl0_6
<=> ! [X2] :
( sk_c9 != multiply(sk_c10,multiply(X2,sk_c10))
| sk_c10 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f119,plain,
( ! [X2] :
( sk_c10 != inverse(X2)
| sk_c9 != multiply(sk_c10,multiply(X2,sk_c10)) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f121,definition,
( spl0_7
<=> ! [X0] :
( sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f122,plain,
( ! [X0] :
( sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,definition,
( spl0_8
<=> multiply(sk_c9,sk_c10) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f125,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f99,f124,f121,f118,f115,f111,f107,f104,f101]) ).
fof(f129,definition,
( spl0_9
<=> sk_c6 = multiply(sk_c7,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f131,plain,
( sk_c6 = multiply(sk_c7,sk_c10)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f133,definition,
( spl0_10
<=> sk_c10 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f135,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f138,definition,
( spl0_11
<=> sk_c10 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f140,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f143,definition,
( spl0_12
<=> inverse(sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f145,plain,
( inverse(sk_c7) = sk_c6
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f148,definition,
( spl0_13
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f150,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f153,definition,
( spl0_14
<=> sk_c9 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f155,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f157,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f85,f133,f107]) ).
fof(f158,plain,
( spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f83,f133,f111]) ).
fof(f160,definition,
( spl0_15
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f162,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f163,plain,
( spl0_15
| spl0_10 ),
inference(avatar_split_clause,[],[f81,f133,f160]) ).
fof(f165,definition,
( spl0_16
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f166,plain,
( sk_c9 != multiply(sk_c4,sk_c10)
| spl0_16 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f167,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f168,plain,
( spl0_16
| spl0_10 ),
inference(avatar_split_clause,[],[f79,f133,f165]) ).
fof(f170,definition,
( spl0_17
<=> sk_c3 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f172,plain,
( sk_c3 = multiply(sk_c2,sk_c10)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f178,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f67,f170,f107]) ).
fof(f179,plain,
( spl0_4
| spl0_17 ),
inference(avatar_split_clause,[],[f65,f170,f111]) ).
fof(f180,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f63,f170,f160]) ).
fof(f181,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f61,f170,f165]) ).
fof(f183,definition,
( spl0_18
<=> sk_c9 = multiply(sk_c10,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f185,plain,
( sk_c9 = multiply(sk_c10,sk_c3)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f183]) ).
fof(f191,plain,
( spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f49,f183,f107]) ).
fof(f192,plain,
( spl0_4
| spl0_18 ),
inference(avatar_split_clause,[],[f47,f183,f111]) ).
fof(f193,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f45,f183,f160]) ).
fof(f194,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f43,f183,f165]) ).
fof(f196,definition,
( spl0_19
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f198,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f204,plain,
( spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f31,f196,f107]) ).
fof(f205,plain,
( spl0_4
| spl0_19 ),
inference(avatar_split_clause,[],[f29,f196,f111]) ).
fof(f206,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f27,f196,f160]) ).
fof(f207,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f25,f196,f165]) ).
fof(f209,definition,
( spl0_20
<=> sk_c10 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f211,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
( spl0_9
| spl0_20 ),
inference(avatar_split_clause,[],[f23,f209,f129]) ).
fof(f213,plain,
( spl0_11
| spl0_20 ),
inference(avatar_split_clause,[],[f21,f209,f138]) ).
fof(f214,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f19,f209,f143]) ).
fof(f215,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f17,f209,f148]) ).
fof(f216,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f15,f209,f153]) ).
fof(f217,plain,
( spl0_3
| spl0_20 ),
inference(avatar_split_clause,[],[f13,f209,f107]) ).
fof(f218,plain,
( spl0_4
| spl0_20 ),
inference(avatar_split_clause,[],[f11,f209,f111]) ).
fof(f219,plain,
( spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f9,f209,f160]) ).
fof(f220,plain,
( spl0_16
| spl0_20 ),
inference(avatar_split_clause,[],[f7,f209,f165]) ).
fof(f221,plain,
spl0_8,
inference(avatar_split_clause,[],[f5,f124]) ).
fof(f223,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f105,f150]) ).
fof(f224,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f223]) ).
fof(f226,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f224,f155]) ).
fof(f227,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f230,definition,
( spl0_21
<=> sk_c9 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f231,plain,
( sk_c9 = inverse(identity)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f232,plain,
( sk_c9 != inverse(identity)
| spl0_21 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f234,definition,
( spl0_22
<=> sk_c9 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f235,plain,
( sk_c9 = sk_c8
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( sk_c9 != sk_c8
| spl0_22 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f238,plain,
( identity = multiply(sk_c8,sk_c9)
| ~ spl0_4 ),
inference(superposition,[],[f3,f112]) ).
fof(f240,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_15 ),
inference(superposition,[],[f3,f162]) ).
fof(f244,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_10 ),
inference(superposition,[],[f3,f135]) ).
fof(f251,definition,
( spl0_24
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f252,plain,
( identity = sk_c9
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( identity != sk_c9
| spl0_24 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f257,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f260,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c3,X0))
| ~ spl0_18 ),
inference(superposition,[],[f4,f185]) ).
fof(f261,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl0_20 ),
inference(superposition,[],[f4,f211]) ).
fof(f265,plain,
( ! [X0,X1] :
( sk_c9 != multiply(X0,multiply(X1,sk_c8))
| sk_c9 != inverse(multiply(X0,X1)) )
| ~ spl0_2 ),
inference(superposition,[],[f105,f4]) ).
fof(f266,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f257,f1]) ).
fof(f269,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f238]) ).
fof(f270,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c9,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f269,f1]) ).
fof(f283,plain,
( sk_c10 = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f270,f125]) ).
fof(f297,plain,
( sk_c9 != sk_c10
| sk_c9 != inverse(sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f105,f283]) ).
fof(f300,definition,
( spl0_25
<=> sk_c9 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f301,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f302,plain,
( sk_c9 != inverse(sk_c8)
| spl0_25 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f304,definition,
( spl0_26
<=> sk_c9 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f305,plain,
( sk_c9 = sk_c10
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f307,plain,
( ~ spl0_25
| ~ spl0_26
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f297,f124,f111,f104,f304,f300]) ).
fof(f382,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != inverse(multiply(sk_c1,sk_c9))
| ~ spl0_2
| ~ spl0_20 ),
inference(superposition,[],[f265,f261]) ).
fof(f421,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_3 ),
inference(superposition,[],[f266,f108]) ).
fof(f422,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_15 ),
inference(superposition,[],[f266,f240]) ).
fof(f430,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_20 ),
inference(superposition,[],[f266,f211]) ).
fof(f432,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_16 ),
inference(superposition,[],[f266,f167]) ).
fof(f437,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_17 ),
inference(superposition,[],[f266,f172]) ).
fof(f444,plain,
( sk_c10 = multiply(sk_c10,sk_c3)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f437,f135]) ).
fof(f449,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f432,f162]) ).
fof(f451,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f430,f198]) ).
fof(f460,plain,
( sk_c9 = sk_c10
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f185,f444]) ).
fof(f465,plain,
( sk_c3 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f266,f444]) ).
fof(f467,plain,
( identity = sk_c3
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f465,f3]) ).
fof(f472,plain,
( spl0_26
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f460,f183,f170,f133,f304]) ).
fof(f490,plain,
( sk_c8 = inverse(sk_c10)
| ~ spl0_4
| ~ spl0_26 ),
inference(superposition,[],[f112,f305]) ).
fof(f504,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_demodulation,[],[f449,f305]) ).
fof(f506,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f451,f305]) ).
fof(f512,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26 ),
inference(superposition,[],[f266,f504]) ).
fof(f514,plain,
( identity = sk_c10
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_demodulation,[],[f512,f3]) ).
fof(f530,plain,
( identity = sk_c10
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f252,f305]) ).
fof(f538,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_3
| ~ spl0_26 ),
inference(forward_demodulation,[],[f421,f305]) ).
fof(f539,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_26 ),
inference(forward_demodulation,[],[f538,f3]) ).
fof(f540,plain,
( sk_c10 = sk_c8
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_demodulation,[],[f539,f514]) ).
fof(f569,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c3)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f422,f467]) ).
fof(f633,plain,
( sk_c8 != inverse(sk_c10)
| spl0_4
| ~ spl0_26 ),
inference(forward_demodulation,[],[f113,f305]) ).
fof(f679,plain,
( sk_c10 != multiply(sk_c10,sk_c8)
| spl0_3
| ~ spl0_26 ),
inference(forward_demodulation,[],[f109,f305]) ).
fof(f680,plain,
( sk_c10 != multiply(sk_c10,sk_c8)
| sk_c9 != inverse(multiply(sk_c1,sk_c9))
| ~ spl0_2
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f382,f305]) ).
fof(f688,plain,
( sk_c9 != inverse(sk_c10)
| sk_c10 != multiply(sk_c10,sk_c8)
| ~ spl0_2
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f680,f211]) ).
fof(f690,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c10,sk_c8)
| ~ spl0_2
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f688,f305]) ).
fof(f692,definition,
( spl0_28
<=> sk_c10 = multiply(sk_c10,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f693,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f694,plain,
( sk_c10 != multiply(sk_c10,sk_c8)
| spl0_28 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f696,definition,
( spl0_29
<=> sk_c10 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f697,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f699,plain,
( ~ spl0_28
| ~ spl0_29
| ~ spl0_2
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f690,f304,f209,f104,f696,f692]) ).
fof(f709,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| spl0_16
| ~ spl0_26 ),
inference(forward_demodulation,[],[f166,f305]) ).
fof(f713,plain,
( ~ spl0_28
| spl0_3
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f679,f304,f107,f692]) ).
fof(f714,plain,
( sk_c10 = sk_c3
| ~ spl0_10
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f530,f467]) ).
fof(f715,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f1,f530]) ).
fof(f716,plain,
( sk_c9 != inverse(sk_c10)
| spl0_21
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f232,f530]) ).
fof(f720,plain,
( sk_c10 != inverse(sk_c10)
| spl0_21
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f716,f305]) ).
fof(f721,plain,
( ~ spl0_29
| spl0_21
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f720,f304,f251,f230,f696]) ).
fof(f730,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(superposition,[],[f266,f506]) ).
fof(f732,plain,
( identity = sk_c10
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f730,f3]) ).
fof(f757,plain,
( sk_c10 != sk_c8
| ~ spl0_24
| ~ spl0_26
| spl0_28 ),
inference(superposition,[],[f694,f715]) ).
fof(f762,plain,
( identity = sk_c2
| ~ spl0_10
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f244,f715]) ).
fof(f772,plain,
( sk_c3 = sk_c2
| ~ spl0_10
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f762,f467]) ).
fof(f790,plain,
( sk_c10 = sk_c2
| ~ spl0_10
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f772,f714]) ).
fof(f802,definition,
( spl0_30
<=> sk_c10 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f803,plain,
( sk_c10 = sk_c8
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f804,plain,
( sk_c10 != sk_c8
| spl0_30 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f810,plain,
( ~ spl0_30
| ~ spl0_24
| ~ spl0_26
| spl0_28 ),
inference(avatar_split_clause,[],[f757,f692,f304,f251,f802]) ).
fof(f811,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f569,f714]) ).
fof(f812,plain,
( identity = sk_c4
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f811,f3]) ).
fof(f813,plain,
( sk_c4 = sk_c3
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f812,f467]) ).
fof(f814,plain,
( sk_c10 = sk_c4
| ~ spl0_10
| ~ spl0_15
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f813,f714]) ).
fof(f815,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_10
| ~ spl0_15
| spl0_16
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f709,f814]) ).
fof(f821,plain,
( $false
| ~ spl0_10
| ~ spl0_15
| spl0_16
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f815,f506]) ).
fof(f822,plain,
( ~ spl0_10
| ~ spl0_15
| spl0_16
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f821]) ).
fof(f826,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_10
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(superposition,[],[f135,f790]) ).
fof(f832,plain,
( identity != sk_c10
| spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f253,f305]) ).
fof(f836,plain,
( sk_c10 != sk_c3
| ~ spl0_10
| ~ spl0_17
| spl0_24
| ~ spl0_26 ),
inference(forward_demodulation,[],[f832,f467]) ).
fof(f837,plain,
( sk_c10 = sk_c3
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(superposition,[],[f732,f467]) ).
fof(f846,plain,
( $false
| ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| spl0_24
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f837,f836]) ).
fof(f847,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| spl0_24
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f850,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_10
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f231,f467]) ).
fof(f851,plain,
( sk_c10 != sk_c8
| spl0_22
| ~ spl0_26 ),
inference(forward_demodulation,[],[f236,f305]) ).
fof(f866,plain,
( spl0_29
| ~ spl0_10
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f826,f304,f251,f170,f133,f696]) ).
fof(f869,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_10
| ~ spl0_17
| ~ spl0_21
| ~ spl0_26 ),
inference(forward_demodulation,[],[f850,f305]) ).
fof(f870,plain,
( ~ spl0_30
| spl0_22
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f851,f304,f234,f802]) ).
fof(f878,definition,
( spl0_32
<=> sk_c10 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f879,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f883,plain,
( spl0_32
| ~ spl0_10
| ~ spl0_17
| ~ spl0_21
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f869,f304,f230,f170,f133,f878]) ).
fof(f892,plain,
( sk_c10 != sk_c8
| spl0_4
| ~ spl0_26
| ~ spl0_29 ),
inference(superposition,[],[f633,f697]) ).
fof(f896,plain,
( ~ spl0_30
| spl0_4
| ~ spl0_26
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f892,f696,f304,f111,f802]) ).
fof(f935,plain,
( sk_c10 = sk_c8
| ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f539,f732]) ).
fof(f936,plain,
( $false
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26
| spl0_30 ),
inference(forward_subsumption_resolution,[],[f540,f804]) ).
fof(f937,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26
| spl0_30 ),
inference(avatar_contradiction_clause,[],[f936]) ).
fof(f969,plain,
( $false
| ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26
| spl0_30 ),
inference(forward_subsumption_resolution,[],[f935,f804]) ).
fof(f970,plain,
( ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26
| spl0_30 ),
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f987,plain,
( identity = multiply(sk_c8,sk_c9)
| ~ spl0_4 ),
inference(superposition,[],[f3,f112]) ).
fof(f988,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_24 ),
inference(superposition,[],[f1,f252]) ).
fof(f997,plain,
( sk_c9 != sk_c10
| ~ spl0_3
| spl0_28 ),
inference(superposition,[],[f694,f108]) ).
fof(f1002,plain,
( ~ spl0_26
| ~ spl0_3
| spl0_28 ),
inference(avatar_split_clause,[],[f997,f692,f107,f304]) ).
fof(f1018,plain,
( sk_c9 = multiply(sk_c10,sk_c9)
| ~ spl0_3
| ~ spl0_22 ),
inference(superposition,[],[f108,f235]) ).
fof(f1020,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_22
| spl0_25 ),
inference(superposition,[],[f302,f235]) ).
fof(f1027,plain,
( sk_c9 != sk_c8
| ~ spl0_4
| ~ spl0_22
| spl0_25 ),
inference(forward_demodulation,[],[f1020,f112]) ).
fof(f1029,plain,
( $false
| ~ spl0_4
| ~ spl0_22
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f1027,f235]) ).
fof(f1030,plain,
( ~ spl0_4
| ~ spl0_22
| spl0_25 ),
inference(avatar_contradiction_clause,[],[f1029]) ).
fof(f1040,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c10,multiply(sk_c4,sk_c10))
| ~ spl0_6
| ~ spl0_15 ),
inference(superposition,[],[f119,f162]) ).
fof(f1047,plain,
( sk_c9 != multiply(sk_c10,multiply(sk_c4,sk_c10))
| ~ spl0_6
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f1040]) ).
fof(f1048,plain,
( sk_c9 != multiply(sk_c10,sk_c9)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1047,f167]) ).
fof(f1049,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| ~ spl0_6
| ~ spl0_32 ),
inference(superposition,[],[f119,f879]) ).
fof(f1052,plain,
( sk_c9 != multiply(sk_c10,multiply(sk_c3,sk_c10))
| ~ spl0_6
| ~ spl0_32 ),
inference(trivial_inequality_removal,[],[f1049]) ).
fof(f1054,plain,
( sk_c9 != multiply(sk_c9,sk_c10)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1052,f260]) ).
fof(f1055,plain,
( sk_c9 != sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_32 ),
inference(forward_demodulation,[],[f1054,f125]) ).
fof(f1056,plain,
( sk_c9 = multiply(sk_c8,sk_c9)
| ~ spl0_4
| ~ spl0_24 ),
inference(forward_demodulation,[],[f987,f252]) ).
fof(f1078,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f266,f449]) ).
fof(f1080,plain,
( identity = sk_c9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1078,f3]) ).
fof(f1099,plain,
( sk_c9 = sk_c8
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f125,f451]) ).
fof(f1110,plain,
( $false
| ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1018,f1048]) ).
fof(f1111,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1110]) ).
fof(f1116,plain,
( ~ spl0_22
| ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f1055,f878,f183,f124,f118,f234]) ).
fof(f1117,plain,
( spl0_22
| ~ spl0_8
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1099,f209,f196,f124,f234]) ).
fof(f1135,plain,
( sk_c10 != sk_c10
| sk_c9 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f122,f211]) ).
fof(f1162,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_28 ),
inference(superposition,[],[f266,f693]) ).
fof(f1164,plain,
( identity = sk_c8
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1162,f3]) ).
fof(f1172,plain,
( sk_c9 = sk_c8
| ~ spl0_24
| ~ spl0_28 ),
inference(forward_demodulation,[],[f1164,f252]) ).
fof(f1173,plain,
( $false
| spl0_22
| ~ spl0_24
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f1172,f236]) ).
fof(f1174,plain,
( spl0_22
| ~ spl0_24
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1212,plain,
( sk_c10 = sk_c8
| ~ spl0_8
| ~ spl0_24 ),
inference(superposition,[],[f125,f988]) ).
fof(f1217,plain,
( sk_c9 != sk_c10
| sk_c9 != inverse(sk_c9)
| ~ spl0_7
| ~ spl0_24 ),
inference(superposition,[],[f122,f988]) ).
fof(f1227,plain,
( spl0_30
| ~ spl0_8
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1212,f251,f124,f802]) ).
fof(f1233,plain,
( sk_c9 = multiply(sk_c10,sk_c9)
| ~ spl0_4
| ~ spl0_24
| ~ spl0_30 ),
inference(superposition,[],[f1056,f803]) ).
fof(f1236,plain,
( sk_c9 = sk_c10
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1233,f449]) ).
fof(f1252,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_4
| ~ spl0_26
| ~ spl0_30 ),
inference(forward_demodulation,[],[f490,f803]) ).
fof(f1277,plain,
( spl0_26
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1236,f802,f251,f165,f160,f111,f304]) ).
fof(f1289,plain,
( spl0_29
| ~ spl0_4
| ~ spl0_26
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1252,f802,f304,f111,f696]) ).
fof(f1312,plain,
( sk_c10 != inverse(sk_c8)
| multiply(sk_c9,sk_c10) != sk_c8
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f102,f112]) ).
fof(f1316,plain,
( sk_c10 != inverse(sk_c6)
| sk_c6 != multiply(sk_c7,sk_c10)
| ~ spl0_1
| ~ spl0_12 ),
inference(superposition,[],[f102,f145]) ).
fof(f1335,plain,
( sk_c6 != multiply(sk_c7,sk_c10)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1316,f140]) ).
fof(f1339,plain,
( sk_c10 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f1312,f125]) ).
fof(f1340,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1335,f131]) ).
fof(f1341,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1340]) ).
fof(f1345,plain,
( sk_c9 != sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_25 ),
inference(forward_demodulation,[],[f1339,f301]) ).
fof(f1348,plain,
( ~ spl0_26
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f1345,f300,f124,f111,f101,f304]) ).
fof(f1357,plain,
( sk_c10 != sk_c8
| sk_c9 != multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f116,f112]) ).
fof(f1359,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f116,f162]) ).
fof(f1368,plain,
( sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl0_5
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f1359]) ).
fof(f1372,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1368,f167]) ).
fof(f1373,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1372]) ).
fof(f1375,plain,
( sk_c9 != multiply(sk_c9,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1357,f803]) ).
fof(f1380,plain,
( sk_c9 != sk_c8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1375,f125]) ).
fof(f1383,plain,
( sk_c9 != sk_c10
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1380,f803]) ).
fof(f1385,plain,
( ~ spl0_26
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1383,f802,f124,f115,f111,f304]) ).
fof(f1386,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_7
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f1135]) ).
fof(f1391,plain,
( ~ spl0_19
| ~ spl0_7
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1386,f209,f121,f196]) ).
fof(f1393,plain,
( sk_c9 != sk_c8
| sk_c9 != sk_c10
| ~ spl0_4
| ~ spl0_7
| ~ spl0_24 ),
inference(forward_demodulation,[],[f1217,f112]) ).
fof(f1447,plain,
( sk_c9 != sk_c10
| sk_c9 != sk_c10
| ~ spl0_4
| ~ spl0_7
| ~ spl0_24
| ~ spl0_30 ),
inference(forward_demodulation,[],[f1393,f803]) ).
fof(f1448,plain,
( sk_c9 != sk_c10
| ~ spl0_4
| ~ spl0_7
| ~ spl0_24
| ~ spl0_30 ),
inference(duplicate_literal_removal,[],[f1447]) ).
fof(f1466,plain,
( ~ spl0_26
| ~ spl0_4
| ~ spl0_7
| ~ spl0_24
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1448,f802,f251,f121,f111,f304]) ).
fof(f1471,plain,
( spl0_24
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1080,f165,f160,f251]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f127]) ).
cnf(s7,plain,
( spl0_3
| spl0_10 ),
inference(sat_conversion,[],[f157]) ).
cnf(s8,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f158]) ).
cnf(s9,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f163]) ).
cnf(s10,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s16,plain,
( spl0_3
| spl0_17 ),
inference(sat_conversion,[],[f178]) ).
cnf(s17,plain,
( spl0_4
| spl0_17 ),
inference(sat_conversion,[],[f179]) ).
cnf(s18,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f180]) ).
cnf(s19,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f181]) ).
cnf(s25,plain,
( spl0_3
| spl0_18 ),
inference(sat_conversion,[],[f191]) ).
cnf(s26,plain,
( spl0_4
| spl0_18 ),
inference(sat_conversion,[],[f192]) ).
cnf(s27,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f193]) ).
cnf(s28,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f194]) ).
cnf(s34,plain,
( spl0_3
| spl0_19 ),
inference(sat_conversion,[],[f204]) ).
cnf(s35,plain,
( spl0_4
| spl0_19 ),
inference(sat_conversion,[],[f205]) ).
cnf(s36,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f206]) ).
cnf(s37,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f207]) ).
cnf(s38,plain,
( spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f212]) ).
cnf(s39,plain,
( spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f213]) ).
cnf(s40,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f214]) ).
cnf(s41,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f215]) ).
cnf(s42,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f216]) ).
cnf(s43,plain,
( spl0_3
| spl0_20 ),
inference(sat_conversion,[],[f217]) ).
cnf(s44,plain,
( spl0_4
| spl0_20 ),
inference(sat_conversion,[],[f218]) ).
cnf(s45,plain,
( spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f219]) ).
cnf(s46,plain,
( spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f220]) ).
cnf(s47,plain,
spl0_8,
inference(sat_conversion,[],[f221]) ).
cnf(s48,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f227]) ).
cnf(s51,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f307]) ).
cnf(s53,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_18
| spl0_26 ),
inference(sat_conversion,[],[f472]) ).
cnf(s59,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_26
| ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f699]) ).
cnf(s62,plain,
( spl0_3
| ~ spl0_26
| ~ spl0_28 ),
inference(sat_conversion,[],[f713]) ).
cnf(s63,plain,
( spl0_21
| ~ spl0_24
| ~ spl0_26
| ~ spl0_29 ),
inference(sat_conversion,[],[f721]) ).
cnf(s65,plain,
( ~ spl0_24
| ~ spl0_26
| spl0_28
| ~ spl0_30 ),
inference(sat_conversion,[],[f810]) ).
cnf(s67,plain,
( ~ spl0_10
| ~ spl0_15
| spl0_16
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| ~ spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f822]) ).
cnf(s70,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_19
| ~ spl0_20
| spl0_24
| ~ spl0_26 ),
inference(sat_conversion,[],[f847]) ).
cnf(s75,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_24
| ~ spl0_26
| spl0_29 ),
inference(sat_conversion,[],[f866]) ).
cnf(s77,plain,
( spl0_22
| ~ spl0_26
| ~ spl0_30 ),
inference(sat_conversion,[],[f870]) ).
cnf(s81,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_21
| ~ spl0_26
| spl0_32 ),
inference(sat_conversion,[],[f883]) ).
cnf(s83,plain,
( spl0_4
| ~ spl0_26
| ~ spl0_29
| ~ spl0_30 ),
inference(sat_conversion,[],[f896]) ).
cnf(s89,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_26
| spl0_30 ),
inference(sat_conversion,[],[f937]) ).
cnf(s92,plain,
( ~ spl0_3
| ~ spl0_19
| ~ spl0_20
| ~ spl0_26
| spl0_30 ),
inference(sat_conversion,[],[f970]) ).
cnf(s96,plain,
( ~ spl0_3
| ~ spl0_26
| spl0_28 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s102,plain,
( ~ spl0_4
| ~ spl0_22
| spl0_25 ),
inference(sat_conversion,[],[f1030]) ).
cnf(s109,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f1111]) ).
cnf(s112,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_18
| ~ spl0_22
| ~ spl0_32 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s113,plain,
( ~ spl0_8
| ~ spl0_19
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f1117]) ).
cnf(s124,plain,
( spl0_22
| ~ spl0_24
| ~ spl0_28 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s127,plain,
( ~ spl0_8
| ~ spl0_24
| spl0_30 ),
inference(sat_conversion,[],[f1227]) ).
cnf(s134,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24
| spl0_26
| ~ spl0_30 ),
inference(sat_conversion,[],[f1277]) ).
cnf(s145,plain,
( ~ spl0_4
| ~ spl0_26
| spl0_29
| ~ spl0_30 ),
inference(sat_conversion,[],[f1289]) ).
cnf(s150,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f1341]) ).
cnf(s152,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f1348]) ).
cnf(s157,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f1373]) ).
cnf(s164,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_26
| ~ spl0_30 ),
inference(sat_conversion,[],[f1385]) ).
cnf(s165,plain,
( ~ spl0_7
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f1391]) ).
cnf(s192,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_24
| ~ spl0_26
| ~ spl0_30 ),
inference(sat_conversion,[],[f1466]) ).
cnf(s196,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_24 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s204,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(rat,[],[s1,s47]) ).
cnf(s205,plain,
spl0_3,
inference(rat,[],[s65,s127,s62,s70,s53,s7,s16,s25,s34,s43,s47]) ).
cnf(s206,plain,
spl0_4,
inference(rat,[],[s75,s83,s92,s70,s53,s8,s17,s26,s35,s44,s205]) ).
cnf(s208,plain,
( spl0_20
| ~ spl0_7 ),
inference(rat,[],[s134,s192,s127,s196,s45,s46,s206,s47]) ).
cnf(s209,plain,
( ~ spl0_20
| ~ spl0_7 ),
inference(rat,[],[s134,s192,s127,s196,s36,s37,s165,s47,s206]) ).
cnf(s210,plain,
~ spl0_7,
inference(rat,[],[s209,s208]) ).
cnf(s211,plain,
( spl0_20
| ~ spl0_6 ),
inference(rat,[],[s134,s77,s127,s109,s196,s45,s46,s206,s47,s205]) ).
cnf(s212,plain,
( ~ spl0_15
| ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s67,s70,s53,s10,s19,s28,s109,s113,s211,s205,s47]) ).
cnf(s213,plain,
( ~ spl0_19
| ~ spl0_6 ),
inference(rat,[],[s63,s145,s92,s81,s70,s53,s112,s9,s18,s27,s212,s113,s211,s206,s205,s47]) ).
cnf(s214,plain,
~ spl0_6,
inference(rat,[],[s134,s77,s127,s109,s196,s36,s37,s213,s206,s47,s205]) ).
cnf(s215,plain,
( ~ spl0_15
| ~ spl0_20
| ~ spl0_5 ),
inference(rat,[],[s67,s70,s53,s10,s19,s28,s37,s157]) ).
cnf(s216,plain,
( ~ spl0_20
| ~ spl0_5 ),
inference(rat,[],[s164,s92,s53,s9,s18,s27,s36,s215,s205,s206,s47]) ).
cnf(s217,plain,
~ spl0_5,
inference(rat,[],[s157,s45,s46,s216]) ).
cnf(s218,plain,
( ~ spl0_26
| ~ spl0_15
| ~ spl0_20
| ~ spl0_2 ),
inference(rat,[],[s37,s89,s113,s145,s102,s59,s51,s96,s205,s47,s206]) ).
cnf(s219,plain,
( spl0_16
| spl0_26 ),
inference(rat,[],[s53,s10,s19,s28]) ).
cnf(s220,plain,
( ~ spl0_15
| ~ spl0_20
| ~ spl0_2 ),
inference(rat,[],[s134,s127,s196,s219,s218,s47,s206]) ).
cnf(s221,plain,
( ~ spl0_20
| ~ spl0_2 ),
inference(rat,[],[s51,s102,s53,s113,s9,s18,s27,s36,s220,s206,s47]) ).
cnf(s222,plain,
~ spl0_2,
inference(rat,[],[s48,s41,s42,s221]) ).
cnf(s223,plain,
spl0_1,
inference(rat,[],[s204,s214,s210,s206,s205,s217,s222]) ).
cnf(s224,plain,
( ~ spl0_26
| ~ spl0_15
| ~ spl0_20 ),
inference(rat,[],[s37,s196,s113,s124,s102,s152,s96,s47,s206,s223,s205]) ).
cnf(s225,plain,
( ~ spl0_15
| ~ spl0_20 ),
inference(rat,[],[s134,s127,s196,s219,s224,s47,s206]) ).
cnf(s226,plain,
~ spl0_20,
inference(rat,[],[s152,s102,s53,s113,s9,s18,s27,s36,s225,s47,s206,s223]) ).
cnf(s231,plain,
spl0_12,
inference(rat,[],[s40,s226]) ).
cnf(s232,plain,
spl0_11,
inference(rat,[],[s39,s226]) ).
cnf(s233,plain,
spl0_9,
inference(rat,[],[s38,s226]) ).
cnf(s235,plain,
$false,
inference(rat,[],[s150,s233,s223,s231,s232]) ).
fof(f1479,plain,
$false,
inference(avatar_sat_refutation,[],[s235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP325-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:51:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 1.87/1.31 % (711775)Input is clausal, will run a generic CNF schedule.
% 1.87/1.31 % (711780)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=703641563:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 1.87/1.31 % (711784)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3660388792:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 1.87/1.31 % (711782)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4293725481:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 1.87/1.31 % (711783)lrs+10_1_sil=8000:sp=occurrence:random_seed=1508305487:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 1.87/1.31 % (711786)dis-21_1_sil=8000:lcm=predicate:random_seed=489907668: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)
% 1.87/1.31 % (711781)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3298765497:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 1.87/1.31 % (711785)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2267493858:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 1.87/1.31 % (711786)Refutation not found, incomplete strategy
% 1.87/1.31 % (711786)------------------------------
% 1.87/1.31 % (711786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.31 % (711786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.31 % (711786)CaDiCaL version: 2.1.3
% 1.87/1.31 % (711786)Termination reason: Refutation not found, incomplete strategy
% 1.87/1.31 % (711786)Time elapsed: 0.002 s
% 1.87/1.31 % (711786)Peak memory usage: 88 MB
% 1.87/1.31 % (711786)Instructions burned: 2 (million)
% 1.87/1.31 % (711785)First to succeed.
% 1.87/1.31 % (711785)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-711775"
% 1.87/1.31 % (711783)Instruction limit reached!
% 1.87/1.31 % (711783)------------------------------
% 1.87/1.31 % (711783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.31 % (711783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.31 % (711783)CaDiCaL version: 2.1.3
% 1.87/1.31 % (711783)Termination reason: Instruction limit
% 1.87/1.31 % (711783)Termination phase: Saturation
% 1.87/1.31 % (711783)Time elapsed: 0.058 s
% 1.87/1.31 % (711783)Peak memory usage: 89 MB
% 1.87/1.31 % (711783)Instructions burned: 107 (million)
% 1.87/1.31 % (711784)Instruction limit reached!
% 1.87/1.31 % (711784)------------------------------
% 1.87/1.31 % (711784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.87/1.31 % (711784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.87/1.31 % (711784)CaDiCaL version: 2.1.3
% 1.87/1.31 % (711784)Termination reason: Instruction limit
% 1.87/1.31 % (711784)Termination phase: Saturation
% 1.87/1.31 % (711784)Time elapsed: 0.064 s
% 1.87/1.31 % (711784)Peak memory usage: 89 MB
% 1.87/1.31 % (711784)Instructions burned: 114 (million)
% 1.87/1.31 % (711794)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=2309446125:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 1.87/1.31 % (711795)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=675957904: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)
% 1.87/1.31 % (711786)------------------------------
% 1.87/1.31 % (711786)------------------------------
% 1.87/1.31 % (711785)Refutation found. Thanks to Tanya!
% 1.87/1.31 % SZS status Unsatisfiable for theBenchmark
% 1.87/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.50 % (711785)------------------------------
% 0.15/1.50 % (711785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.50 % (711785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.50 % (711785)CaDiCaL version: 2.1.3
% 0.15/1.50 % (711785)Termination reason: Refutation
% 0.15/1.50 % (711785)Time elapsed: 0.031 s
% 0.15/1.50 % (711785)Peak memory usage: 90 MB
% 0.15/1.50 % (711785)Instructions burned: 48 (million)
% 0.15/1.50 % (711785)------------------------------
% 0.15/1.50 % (711785)------------------------------
% 0.15/1.50 % (711775)Success in time 0.455 s
% 0.15/1.50 % Vampire exiting
%------------------------------------------------------------------------------