%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP386-1 : 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 : n018.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 10:13:49 AM UTC 2026
% Result : Unsatisfiable 2.77s 1.31s
% Output : Refutation 3.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 53
% Syntax : Number of formulae : 356 ( 25 unt; 20 def)
% Number of atoms : 1217 ( 381 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1661 ( 800 ~; 841 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 70 !; 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,
( inverse(sk_c10) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f7]) ).
fof(f10,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( inverse(sk_c10) = sk_c9
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c10) = sk_c9
| multiply(sk_c4,sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c10) = sk_c9
| sk_c10 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c10) = sk_c9
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( inverse(sk_c10) = sk_c9
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f14]) ).
fof(f23,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| multiply(sk_c4,sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c10 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c10
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f33]) ).
fof(f43,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| multiply(sk_c4,sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c10,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f53]) ).
fof(f63,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( sk_c10 = inverse(sk_c1)
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c4,sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c10 = inverse(sk_c1)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f73]) ).
fof(f83,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c2,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c2,sk_c10) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c2) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c2) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| multiply(sk_c3,sk_c9) = sk_c8 ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c4,sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c4) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c7 = inverse(sk_c4) ),
inference(reorient_equations,[],[f93]) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(sk_c10) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X0) != sk_c10
| multiply(X0,sk_c9) != sk_c10
| multiply(X1,sk_c10) != sk_c9
| inverse(X1) != sk_c10
| multiply(X2,sk_c9) != sk_c8
| inverse(X2) != sk_c9
| multiply(X3,X4) != sk_c10
| inverse(X3) != X4
| multiply(X4,sk_c9) != sk_c10
| inverse(X5) != X6
| inverse(X6) != X4
| multiply(X5,X4) != X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f104,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9)
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c10 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c10 != multiply(X4,sk_c9)
| inverse(X5) != X6
| inverse(X6) != X4
| multiply(X5,X4) != X6 ),
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9)
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c9)
| inverse(X5) != X6
| inverse(X3) != inverse(X6)
| multiply(X5,inverse(X3)) != X6 ),
inference(equality_resolution,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X5] :
( inverse(sk_c10) != sk_c9
| sk_c10 != multiply(sk_c9,sk_c8)
| sk_c9 != multiply(sk_c10,sk_c8)
| inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9)
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c9)
| inverse(X3) != inverse(inverse(X5))
| inverse(X5) != multiply(X5,inverse(X3)) ),
inference(equality_resolution,[],[f105]) ).
fof(f108,definition,
( spl0_1
<=> ! [X5,X3] :
( sk_c10 != multiply(X3,inverse(X3))
| inverse(X5) != multiply(X5,inverse(X3))
| inverse(X3) != inverse(inverse(X5))
| sk_c10 != multiply(inverse(X3),sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f109,plain,
( ! [X3,X5] :
( sk_c10 != multiply(X3,inverse(X3))
| inverse(X5) != multiply(X5,inverse(X3))
| inverse(X3) != inverse(inverse(X5))
| sk_c10 != multiply(inverse(X3),sk_c9) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,definition,
( spl0_2
<=> ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f112,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,definition,
( spl0_3
<=> ! [X1] :
( sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f115,plain,
( ! [X1] :
( sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,definition,
( spl0_4
<=> ! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f118,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,definition,
( spl0_5
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f121,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f122,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl0_5 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f124,definition,
( spl0_6
<=> sk_c10 = multiply(sk_c9,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f125,plain,
( sk_c10 = multiply(sk_c9,sk_c8)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
( sk_c10 != multiply(sk_c9,sk_c8)
| spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl0_7
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f129,plain,
( inverse(sk_c10) = sk_c9
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f130,plain,
( inverse(sk_c10) != sk_c9
| spl0_7 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f106,f128,f124,f120,f117,f114,f111,f108]) ).
fof(f137,definition,
( spl0_9
<=> sk_c10 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f139,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f157,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f159,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f94,f137,f157]) ).
fof(f162,definition,
( spl0_14
<=> sk_c10 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f164,plain,
( sk_c10 = multiply(sk_c4,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f92,f137,f162]) ).
fof(f167,definition,
( spl0_15
<=> sk_c9 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f169,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( spl0_15
| spl0_9 ),
inference(avatar_split_clause,[],[f90,f137,f167]) ).
fof(f172,definition,
( spl0_16
<=> multiply(sk_c3,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f174,plain,
( multiply(sk_c3,sk_c9) = sk_c8
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f175,plain,
( spl0_16
| spl0_9 ),
inference(avatar_split_clause,[],[f88,f137,f172]) ).
fof(f177,definition,
( spl0_17
<=> sk_c10 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f179,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f180,plain,
( spl0_17
| spl0_9 ),
inference(avatar_split_clause,[],[f86,f137,f177]) ).
fof(f182,definition,
( spl0_18
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f184,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f185,plain,
( spl0_18
| spl0_9 ),
inference(avatar_split_clause,[],[f84,f137,f182]) ).
fof(f187,definition,
( spl0_19
<=> sk_c10 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f189,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f194,plain,
( spl0_13
| spl0_19 ),
inference(avatar_split_clause,[],[f74,f187,f157]) ).
fof(f195,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f72,f187,f162]) ).
fof(f196,plain,
( spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f70,f187,f167]) ).
fof(f197,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f68,f187,f172]) ).
fof(f198,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f66,f187,f177]) ).
fof(f199,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f64,f187,f182]) ).
fof(f204,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f54,f120,f157]) ).
fof(f205,plain,
( spl0_14
| spl0_5 ),
inference(avatar_split_clause,[],[f52,f120,f162]) ).
fof(f206,plain,
( spl0_15
| spl0_5 ),
inference(avatar_split_clause,[],[f50,f120,f167]) ).
fof(f207,plain,
( spl0_16
| spl0_5 ),
inference(avatar_split_clause,[],[f48,f120,f172]) ).
fof(f208,plain,
( spl0_17
| spl0_5 ),
inference(avatar_split_clause,[],[f46,f120,f177]) ).
fof(f209,plain,
( spl0_18
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f120,f182]) ).
fof(f214,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f34,f124,f157]) ).
fof(f215,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f32,f124,f162]) ).
fof(f216,plain,
( spl0_15
| spl0_6 ),
inference(avatar_split_clause,[],[f30,f124,f167]) ).
fof(f217,plain,
( spl0_16
| spl0_6 ),
inference(avatar_split_clause,[],[f28,f124,f172]) ).
fof(f218,plain,
( spl0_17
| spl0_6 ),
inference(avatar_split_clause,[],[f26,f124,f177]) ).
fof(f219,plain,
( spl0_18
| spl0_6 ),
inference(avatar_split_clause,[],[f24,f124,f182]) ).
fof(f224,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f15,f128,f157]) ).
fof(f225,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f13,f128,f162]) ).
fof(f226,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f11,f128,f167]) ).
fof(f228,plain,
( spl0_17
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f128,f177]) ).
fof(f229,plain,
( spl0_18
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f128,f182]) ).
fof(f230,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_17 ),
inference(superposition,[],[f3,f179]) ).
fof(f231,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_15 ),
inference(superposition,[],[f3,f169]) ).
fof(f237,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f238,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c10,X0)) = multiply(sk_c9,X0)
| ~ spl0_18 ),
inference(superposition,[],[f4,f184]) ).
fof(f243,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f237,f1]) ).
fof(f246,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c2,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f230]) ).
fof(f247,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c2,X0)) = X0
| ~ spl0_17 ),
inference(forward_demodulation,[],[f246,f1]) ).
fof(f260,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f247,f184]) ).
fof(f269,plain,
( multiply(sk_c2,sk_c10) = multiply(sk_c9,sk_c9)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f238,f260]) ).
fof(f271,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f269,f184]) ).
fof(f309,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f243,f260]) ).
fof(f310,plain,
( sk_c3 = multiply(inverse(sk_c9),identity)
| ~ spl0_15 ),
inference(superposition,[],[f243,f231]) ).
fof(f314,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_16 ),
inference(superposition,[],[f243,f174]) ).
fof(f317,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c10)
| ~ spl0_14 ),
inference(superposition,[],[f243,f164]) ).
fof(f334,plain,
( sk_c7 = multiply(sk_c7,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f317,f159]) ).
fof(f337,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f314,f169]) ).
fof(f341,plain,
( identity = sk_c9
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f309,f3]) ).
fof(f355,plain,
( sk_c10 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f243,f334]) ).
fof(f357,plain,
( identity = sk_c10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f355,f3]) ).
fof(f360,plain,
( sk_c10 = sk_c9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f357,f341]) ).
fof(f365,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f243,f337]) ).
fof(f367,plain,
( identity = sk_c8
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f365,f3]) ).
fof(f370,plain,
( sk_c9 = sk_c8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f367,f341]) ).
fof(f392,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f310,f341]) ).
fof(f393,plain,
( identity = sk_c3
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f392,f3]) ).
fof(f394,plain,
( sk_c9 = sk_c3
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f393,f341]) ).
fof(f395,plain,
( sk_c10 = sk_c3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f394,f360]) ).
fof(f398,plain,
( sk_c8 = multiply(sk_c10,sk_c9)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f174,f395]) ).
fof(f399,plain,
( inverse(sk_c10) = sk_c9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f169,f395]) ).
fof(f400,plain,
( $false
| spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f399,f130]) ).
fof(f401,plain,
( spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f400]) ).
fof(f402,plain,
( sk_c10 = sk_c8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f398,f260]) ).
fof(f409,plain,
( sk_c9 != multiply(sk_c10,sk_c9)
| spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f122,f370]) ).
fof(f412,plain,
( sk_c10 != sk_c9
| spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f409,f260]) ).
fof(f413,plain,
( $false
| spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f412,f360]) ).
fof(f414,plain,
( spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f416,plain,
( sk_c10 != sk_c9
| spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f126,f337]) ).
fof(f418,plain,
( $false
| spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f416,f360]) ).
fof(f419,plain,
( spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f420,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c10) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f118,f360]) ).
fof(f429,plain,
( sk_c9 = multiply(sk_c9,sk_c10)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f337,f402]) ).
fof(f431,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f429,f360]) ).
fof(f439,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f420,f179]) ).
fof(f444,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f439]) ).
fof(f458,plain,
( sk_c10 != sk_c9
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f444,f184]) ).
fof(f464,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f458,f360]) ).
fof(f465,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f464]) ).
fof(f550,definition,
( spl0_28
<=> ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f551,plain,
( ! [X0] :
( sk_c10 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c10) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f553,definition,
( spl0_29
<=> sk_c10 = multiply(sk_c10,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f554,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f598,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_19 ),
inference(superposition,[],[f3,f189]) ).
fof(f601,definition,
( spl0_31
<=> sk_c10 = multiply(sk_c1,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f602,plain,
( sk_c10 = multiply(sk_c1,sk_c10)
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f603,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| spl0_31 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f639,plain,
( spl0_29
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f431,f182,f177,f172,f167,f162,f157,f553]) ).
fof(f667,plain,
( ! [X1] :
( sk_c10 != inverse(X1)
| sk_c10 != multiply(X1,sk_c10) )
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f115,f360]) ).
fof(f669,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_29 ),
inference(superposition,[],[f243,f554]) ).
fof(f671,plain,
( identity = sk_c10
| ~ spl0_29 ),
inference(forward_demodulation,[],[f669,f3]) ).
fof(f675,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f667,f179]) ).
fof(f681,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f675]) ).
fof(f694,plain,
( sk_c10 != sk_c9
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f681,f184]) ).
fof(f698,plain,
( $false
| ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f694,f360]) ).
fof(f699,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f698]) ).
fof(f753,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_17
| ~ spl0_28 ),
inference(superposition,[],[f551,f179]) ).
fof(f756,plain,
( sk_c10 != inverse(sk_c10)
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_19
| ~ spl0_28 ),
inference(superposition,[],[f551,f189]) ).
fof(f786,plain,
( identity = multiply(sk_c9,sk_c10)
| ~ spl0_7 ),
inference(superposition,[],[f3,f129]) ).
fof(f828,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_5 ),
inference(superposition,[],[f243,f121]) ).
fof(f830,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f828,f129]) ).
fof(f831,plain,
( sk_c9 = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f830,f271]) ).
fof(f832,plain,
( sk_c9 = multiply(sk_c10,sk_c9)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f121,f831]) ).
fof(f833,plain,
( sk_c10 = sk_c9
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f832,f260]) ).
fof(f874,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c10)
| sk_c9 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f112,f833]) ).
fof(f875,plain,
( ! [X2] :
( sk_c9 != multiply(X2,sk_c10)
| sk_c9 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f874,f831]) ).
fof(f876,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c10)
| sk_c9 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f875,f833]) ).
fof(f877,plain,
( ! [X2] :
( sk_c10 != inverse(X2)
| sk_c10 != multiply(X2,sk_c10) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f876,f833]) ).
fof(f885,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f877,f179]) ).
fof(f889,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f885]) ).
fof(f892,plain,
( sk_c10 != sk_c9
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f889,f184]) ).
fof(f894,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f892,f833]) ).
fof(f895,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f898,plain,
( ! [X3,X5] :
( sk_c10 != multiply(inverse(X3),sk_c10)
| sk_c10 != multiply(X3,inverse(X3))
| inverse(X5) != multiply(X5,inverse(X3))
| inverse(X3) != inverse(inverse(X5)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f109,f833]) ).
fof(f903,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c2,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f898,f179]) ).
fof(f909,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c2,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f903,f554]) ).
fof(f913,plain,
( ! [X0] :
( sk_c10 != sk_c9
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29 ),
inference(forward_demodulation,[],[f909,f184]) ).
fof(f917,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f913,f833]) ).
fof(f920,plain,
( spl0_28
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f917,f553,f182,f177,f128,f120,f108,f550]) ).
fof(f926,plain,
( sk_c10 != sk_c9
| sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_28 ),
inference(forward_demodulation,[],[f753,f129]) ).
fof(f928,plain,
( sk_c10 != inverse(sk_c10)
| ~ spl0_19
| ~ spl0_28
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f756,f602]) ).
fof(f929,plain,
( sk_c10 != multiply(sk_c2,sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f926,f833]) ).
fof(f931,plain,
( sk_c10 != sk_c9
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_28 ),
inference(forward_demodulation,[],[f929,f184]) ).
fof(f934,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[],[f931,f833]) ).
fof(f935,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_28 ),
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f936,plain,
( sk_c10 = multiply(sk_c10,sk_c1)
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f598,f671]) ).
fof(f942,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_9 ),
inference(superposition,[],[f243,f139]) ).
fof(f943,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f139]) ).
fof(f944,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f942,f189]) ).
fof(f955,plain,
( sk_c1 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_19
| ~ spl0_29 ),
inference(superposition,[],[f243,f936]) ).
fof(f957,plain,
( identity = sk_c1
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f955,f3]) ).
fof(f959,plain,
( sk_c10 = sk_c1
| ~ spl0_19
| ~ spl0_29 ),
inference(forward_demodulation,[],[f957,f671]) ).
fof(f977,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_19
| ~ spl0_29 ),
inference(superposition,[],[f189,f959]) ).
fof(f1006,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_19
| ~ spl0_29
| spl0_31 ),
inference(forward_demodulation,[],[f603,f959]) ).
fof(f1009,plain,
( $false
| ~ spl0_19
| ~ spl0_29
| spl0_31 ),
inference(forward_subsumption_resolution,[],[f1006,f554]) ).
fof(f1010,plain,
( ~ spl0_19
| ~ spl0_29
| spl0_31 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1016,plain,
( sk_c10 != sk_c9
| sk_c8 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_19 ),
inference(superposition,[],[f112,f189]) ).
fof(f1018,plain,
( sk_c10 != sk_c8
| sk_c10 != sk_c9
| ~ spl0_2
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1016,f139]) ).
fof(f1029,definition,
( spl0_40
<=> sk_c10 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f1030,plain,
( sk_c10 = sk_c9
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1033,definition,
( spl0_41
<=> sk_c10 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f1034,plain,
( sk_c10 = sk_c8
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1036,plain,
( ~ spl0_40
| ~ spl0_41
| ~ spl0_2
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1018,f187,f137,f111,f1033,f1029]) ).
fof(f1038,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl0_19 ),
inference(superposition,[],[f243,f598]) ).
fof(f1041,plain,
( sk_c1 = multiply(sk_c9,identity)
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1038,f129]) ).
fof(f1059,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_9
| ~ spl0_19 ),
inference(superposition,[],[f243,f944]) ).
fof(f1061,plain,
( sk_c10 = multiply(sk_c9,sk_c9)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1059,f129]) ).
fof(f1071,plain,
( multiply(sk_c10,sk_c8) = multiply(sk_c1,sk_c10)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f943,f125]) ).
fof(f1076,plain,
( sk_c9 = multiply(sk_c1,sk_c10)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1071,f121]) ).
fof(f1100,plain,
( sk_c10 = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(superposition,[],[f830,f1061]) ).
fof(f1110,plain,
( spl0_41
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1100,f187,f137,f128,f120,f1033]) ).
fof(f1113,plain,
( sk_c10 = multiply(sk_c9,sk_c10)
| ~ spl0_6
| ~ spl0_41 ),
inference(superposition,[],[f125,f1034]) ).
fof(f1115,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_7
| ~ spl0_41 ),
inference(superposition,[],[f1113,f786]) ).
fof(f1125,plain,
( sk_c1 = multiply(sk_c9,sk_c10)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_41 ),
inference(superposition,[],[f1041,f1115]) ).
fof(f1127,plain,
( sk_c10 = sk_c1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1125,f1113]) ).
fof(f1132,plain,
( identity = multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_19
| ~ spl0_41 ),
inference(superposition,[],[f598,f1127]) ).
fof(f1138,plain,
( identity = sk_c9
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1132,f944]) ).
fof(f1139,plain,
( sk_c10 = sk_c9
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_41 ),
inference(forward_demodulation,[],[f1138,f1115]) ).
fof(f1150,plain,
( spl0_40
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1139,f1033,f187,f137,f128,f124,f1029]) ).
fof(f1168,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_6
| ~ spl0_40
| ~ spl0_41 ),
inference(superposition,[],[f1113,f1030]) ).
fof(f1169,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_40
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1168,f1033,f1029,f124,f553]) ).
fof(f1188,plain,
( ! [X1] :
( sk_c10 != inverse(X1)
| sk_c10 != multiply(X1,sk_c10) )
| ~ spl0_3
| ~ spl0_40 ),
inference(forward_demodulation,[],[f115,f1030]) ).
fof(f1198,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_3
| ~ spl0_19
| ~ spl0_40 ),
inference(superposition,[],[f1188,f189]) ).
fof(f1199,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_3
| ~ spl0_19
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1198]) ).
fof(f1201,plain,
( sk_c10 != sk_c9
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1199,f1076]) ).
fof(f1204,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1201,f1030]) ).
fof(f1205,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1204]) ).
fof(f1211,plain,
( ! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c10) )
| ~ spl0_4
| ~ spl0_40 ),
inference(forward_demodulation,[],[f118,f1030]) ).
fof(f1215,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_4
| ~ spl0_19
| ~ spl0_40 ),
inference(superposition,[],[f1211,f189]) ).
fof(f1216,plain,
( sk_c10 != multiply(sk_c1,sk_c10)
| ~ spl0_4
| ~ spl0_19
| ~ spl0_40 ),
inference(trivial_inequality_removal,[],[f1215]) ).
fof(f1218,plain,
( sk_c10 != sk_c9
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_40 ),
inference(forward_demodulation,[],[f1216,f1076]) ).
fof(f1221,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1218,f1030]) ).
fof(f1222,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_40 ),
inference(avatar_contradiction_clause,[],[f1221]) ).
fof(f1228,plain,
( ! [X3,X5] :
( sk_c10 != multiply(inverse(X3),sk_c10)
| sk_c10 != multiply(X3,inverse(X3))
| inverse(X5) != multiply(X5,inverse(X3))
| inverse(X3) != inverse(inverse(X5)) )
| ~ spl0_1
| ~ spl0_40 ),
inference(forward_demodulation,[],[f109,f1030]) ).
fof(f1238,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_29
| ~ spl0_40 ),
inference(superposition,[],[f1228,f977]) ).
fof(f1243,plain,
( ! [X0] :
( sk_c10 != multiply(sk_c10,sk_c10)
| inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_29
| ~ spl0_40 ),
inference(duplicate_literal_removal,[],[f1238]) ).
fof(f1247,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_19
| ~ spl0_29
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[],[f1243,f554]) ).
fof(f1251,plain,
( spl0_28
| ~ spl0_1
| ~ spl0_19
| ~ spl0_29
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1247,f1029,f553,f187,f108,f550]) ).
fof(f1265,plain,
( $false
| ~ spl0_19
| ~ spl0_28
| ~ spl0_29
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f928,f977]) ).
fof(f1266,plain,
( ~ spl0_19
| ~ spl0_28
| ~ spl0_29
| ~ spl0_31 ),
inference(avatar_contradiction_clause,[],[f1265]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f131]) ).
cnf(s6,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f160]) ).
cnf(s7,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f165]) ).
cnf(s8,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f170]) ).
cnf(s9,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f175]) ).
cnf(s10,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f180]) ).
cnf(s11,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f185]) ).
cnf(s16,plain,
( spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f194]) ).
cnf(s17,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f195]) ).
cnf(s18,plain,
( spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f196]) ).
cnf(s19,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f197]) ).
cnf(s20,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f198]) ).
cnf(s21,plain,
( spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f199]) ).
cnf(s26,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f204]) ).
cnf(s27,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f205]) ).
cnf(s28,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f206]) ).
cnf(s29,plain,
( spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f207]) ).
cnf(s30,plain,
( spl0_5
| spl0_17 ),
inference(sat_conversion,[],[f208]) ).
cnf(s31,plain,
( spl0_5
| spl0_18 ),
inference(sat_conversion,[],[f209]) ).
cnf(s36,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f214]) ).
cnf(s37,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f215]) ).
cnf(s38,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f216]) ).
cnf(s39,plain,
( spl0_6
| spl0_16 ),
inference(sat_conversion,[],[f217]) ).
cnf(s40,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f218]) ).
cnf(s41,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f219]) ).
cnf(s46,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f224]) ).
cnf(s47,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f225]) ).
cnf(s48,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f226]) ).
cnf(s50,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f228]) ).
cnf(s51,plain,
( spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f229]) ).
cnf(s52,plain,
( spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f401]) ).
cnf(s53,plain,
( spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f414]) ).
cnf(s54,plain,
( spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f419]) ).
cnf(s58,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f465]) ).
cnf(s82,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| spl0_29 ),
inference(sat_conversion,[],[f639]) ).
cnf(s98,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f699]) ).
cnf(s132,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f895]) ).
cnf(s135,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f920]) ).
cnf(s140,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_28 ),
inference(sat_conversion,[],[f935]) ).
cnf(s143,plain,
( ~ spl0_19
| ~ spl0_29
| spl0_31 ),
inference(sat_conversion,[],[f1010]) ).
cnf(s145,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_19
| ~ spl0_40
| ~ spl0_41 ),
inference(sat_conversion,[],[f1036]) ).
cnf(s149,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| spl0_41 ),
inference(sat_conversion,[],[f1110]) ).
cnf(s157,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| spl0_40
| ~ spl0_41 ),
inference(sat_conversion,[],[f1150]) ).
cnf(s162,plain,
( ~ spl0_6
| spl0_29
| ~ spl0_40
| ~ spl0_41 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s167,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_40 ),
inference(sat_conversion,[],[f1205]) ).
cnf(s170,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_19
| ~ spl0_40 ),
inference(sat_conversion,[],[f1222]) ).
cnf(s173,plain,
( ~ spl0_1
| ~ spl0_19
| spl0_28
| ~ spl0_29
| ~ spl0_40 ),
inference(sat_conversion,[],[f1251]) ).
cnf(s177,plain,
( ~ spl0_19
| ~ spl0_28
| ~ spl0_29
| ~ spl0_31 ),
inference(sat_conversion,[],[f1266]) ).
cnf(s180,plain,
spl0_5,
inference(rat,[],[s53,s26,s27,s28,s29,s30,s31]) ).
cnf(s181,plain,
spl0_6,
inference(rat,[],[s54,s36,s37,s38,s39,s40,s41]) ).
cnf(s182,plain,
spl0_7,
inference(rat,[],[s52,s46,s47,s48,s50,s51]) ).
cnf(s183,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s58,s6,s7,s10,s11]) ).
cnf(s184,plain,
( ~ spl0_19
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s157,s149,s170,s180,s182,s181]) ).
cnf(s185,plain,
( ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s58,s16,s17,s20,s21,s184]) ).
cnf(s186,plain,
~ spl0_4,
inference(rat,[],[s185,s183]) ).
cnf(s187,plain,
( ~ spl0_19
| ~ spl0_9
| ~ spl0_3 ),
inference(rat,[],[s157,s149,s167,s180,s182,s181]) ).
cnf(s188,plain,
( spl0_19
| ~ spl0_3 ),
inference(rat,[],[s98,s16,s17,s20,s21]) ).
cnf(s189,plain,
( ~ spl0_19
| ~ spl0_3 ),
inference(rat,[],[s98,s6,s7,s10,s11,s187]) ).
cnf(s190,plain,
~ spl0_3,
inference(rat,[],[s189,s188]) ).
cnf(s191,plain,
( ~ spl0_19
| ~ spl0_41
| ~ spl0_2
| ~ spl0_9 ),
inference(rat,[],[s157,s145,s182,s181]) ).
cnf(s192,plain,
( ~ spl0_19
| ~ spl0_9
| ~ spl0_2 ),
inference(rat,[],[s191,s149,s180,s182]) ).
cnf(s193,plain,
( spl0_19
| ~ spl0_2 ),
inference(rat,[],[s132,s20,s21,s182,s180]) ).
cnf(s194,plain,
( ~ spl0_19
| ~ spl0_2 ),
inference(rat,[],[s132,s10,s11,s192,s180,s182]) ).
cnf(s195,plain,
~ spl0_2,
inference(rat,[],[s194,s193]) ).
cnf(s196,plain,
spl0_1,
inference(rat,[],[s1,s181,s180,s186,s182,s190,s195]) ).
cnf(s197,plain,
( ~ spl0_41
| ~ spl0_19
| ~ spl0_9 ),
inference(rat,[],[s177,s173,s143,s162,s157,s182,s181,s196]) ).
cnf(s198,plain,
( ~ spl0_19
| ~ spl0_9 ),
inference(rat,[],[s197,s149,s182,s180]) ).
cnf(s199,plain,
spl0_19,
inference(rat,[],[s82,s135,s140,s16,s17,s18,s19,s20,s21,s196,s180,s182]) ).
cnf(s200,plain,
~ spl0_9,
inference(rat,[],[s198,s199]) ).
cnf(s201,plain,
spl0_18,
inference(rat,[],[s11,s200]) ).
cnf(s202,plain,
spl0_17,
inference(rat,[],[s10,s200]) ).
cnf(s203,plain,
spl0_16,
inference(rat,[],[s9,s200]) ).
cnf(s204,plain,
spl0_15,
inference(rat,[],[s8,s200]) ).
cnf(s205,plain,
spl0_14,
inference(rat,[],[s7,s200]) ).
cnf(s206,plain,
spl0_13,
inference(rat,[],[s6,s200]) ).
cnf(s211,plain,
~ spl0_28,
inference(rat,[],[s140,s202,s182,s180,s201]) ).
cnf(s212,plain,
~ spl0_29,
inference(rat,[],[s135,s211,s202,s182,s180,s196,s201]) ).
cnf(s214,plain,
$false,
inference(rat,[],[s82,s201,s203,s204,s205,s206,s212,s202]) ).
fof(f1272,plain,
$false,
inference(avatar_sat_refutation,[],[s214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP386-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n018.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 10:02:23 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.77/1.31 % (2094642)Input is clausal, will run a generic CNF schedule.
% 2.77/1.31 % (2094650)lrs+10_1_sil=8000:sp=occurrence:random_seed=1197412399:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.77/1.31 % (2094650)Refutation not found, incomplete strategy
% 2.77/1.31 % (2094650)------------------------------
% 2.77/1.31 % (2094650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.31 % (2094650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.31 % (2094650)CaDiCaL version: 2.1.3
% 2.77/1.31 % (2094650)Termination reason: Refutation not found, incomplete strategy
% 2.77/1.31 % (2094650)Time elapsed: 0.002 s
% 2.77/1.31 % (2094650)Peak memory usage: 88 MB
% 2.77/1.31 % (2094650)Instructions burned: 5 (million)
% 2.77/1.31 % (2094651)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3534873203:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.77/1.31 % (2094653)dis-21_1_sil=8000:lcm=predicate:random_seed=137588730:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.77/1.31 % (2094649)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1230625214:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.77/1.31 % (2094648)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3991447230:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.77/1.31 % (2094647)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=3560346476:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.77/1.31 % (2094653)Refutation not found, incomplete strategy
% 2.77/1.31 % (2094653)------------------------------
% 2.77/1.31 % (2094653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.31 % (2094653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.31 % (2094653)CaDiCaL version: 2.1.3
% 2.77/1.31 % (2094653)Termination reason: Refutation not found, incomplete strategy
% 2.77/1.31 % (2094653)Time elapsed: 0.002 s
% 2.77/1.31 % (2094653)Peak memory usage: 88 MB
% 2.77/1.31 % (2094653)Instructions burned: 2 (million)
% 2.77/1.31 % (2094652)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2177427990:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.77/1.31 % (2094652)First to succeed.
% 2.77/1.31 % (2094652)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2094642"
% 2.77/1.31 % (2094651)Instruction limit reached!
% 2.77/1.31 % (2094651)------------------------------
% 2.77/1.31 % (2094651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.31 % (2094651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.31 % (2094651)CaDiCaL version: 2.1.3
% 2.77/1.31 % (2094651)Termination reason: Instruction limit
% 2.77/1.31 % (2094651)Termination phase: Saturation
% 2.77/1.31 % (2094651)Time elapsed: 0.066 s
% 2.77/1.31 % (2094651)Peak memory usage: 89 MB
% 2.77/1.31 % (2094651)Instructions burned: 116 (million)
% 2.77/1.31 % (2094650)------------------------------
% 2.77/1.31 % (2094650)------------------------------
% 2.77/1.31 % (2094661)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=136536738:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.77/1.31 % (2094661)Refutation not found, incomplete strategy
% 2.77/1.31 % (2094661)------------------------------
% 2.77/1.31 % (2094661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.31 % (2094661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.31 % (2094661)CaDiCaL version: 2.1.3
% 2.77/1.31 % (2094661)Termination reason: Refutation not found, incomplete strategy
% 2.77/1.31 % (2094661)Time elapsed: 0.004 s
% 2.77/1.31 % (2094661)Peak memory usage: 88 MB
% 2.77/1.31 % (2094661)Instructions burned: 5 (million)
% 2.77/1.31 % (2094662)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1587210598:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.77/1.31 % (2094662)Refutation not found, incomplete strategy
% 2.77/1.31 % (2094662)------------------------------
% 2.77/1.31 % (2094662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.31 % (2094662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.31 % (2094662)CaDiCaL version: 2.1.3
% 2.77/1.31 % (2094662)Termination reason: Refutation not found, incomplete strategy
% 2.77/1.31 % (2094662)Time elapsed: 0.002 s
% 2.77/1.31 % (2094662)Peak memory usage: 88 MB
% 2.77/1.31 % (2094662)Instructions burned: 6 (million)
% 2.77/1.31 % (2094653)------------------------------
% 2.77/1.31 % (2094653)------------------------------
% 2.77/1.31 % (2094652)Refutation found. Thanks to Tanya!
% 2.77/1.31 % SZS status Unsatisfiable for theBenchmark
% 2.77/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.89/1.51 % (2094652)------------------------------
% 3.89/1.51 % (2094652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.51 % (2094652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.51 % (2094652)CaDiCaL version: 2.1.3
% 3.89/1.51 % (2094652)Termination reason: Refutation
% 3.89/1.51 % (2094652)Time elapsed: 0.029 s
% 3.89/1.51 % (2094652)Peak memory usage: 90 MB
% 3.89/1.51 % (2094652)Instructions burned: 43 (million)
% 3.89/1.51 % (2094652)------------------------------
% 3.89/1.51 % (2094652)------------------------------
% 3.89/1.51 % (2094642)Success in time 0.459 s
% 3.89/1.51 % Vampire exiting
%------------------------------------------------------------------------------