%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP383-1 : 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 : n015.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 10:13:48 AM UTC 2026
% Result : Unsatisfiable 3.19s 1.35s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 51
% Syntax : Number of formulae : 353 ( 19 unt; 21 def)
% Number of atoms : 1213 ( 319 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1639 ( 779 ~; 839 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 42 ( 0 sgn 42 !; 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_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c7,sk_c6) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f22]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f28]) ).
fof(f36,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f38]) ).
fof(f44,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c3 = inverse(sk_c2)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c3 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c3 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c3 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f64]) ).
fof(f70,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f70]) ).
fof(f74,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(sk_c8) != sk_c7
| multiply(sk_c7,sk_c6) != sk_c8
| inverse(X0) != sk_c8
| multiply(X0,sk_c7) != sk_c8
| multiply(X1,X2) != sk_c7
| inverse(X1) != X2
| multiply(X2,sk_c8) != sk_c7
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X4) != sk_c7
| multiply(X4,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4] :
( inverse(sk_c8) != sk_c7
| sk_c8 != multiply(sk_c7,sk_c6)
| inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| multiply(X1,X2) != sk_c7
| inverse(X1) != X2
| sk_c7 != multiply(X2,sk_c8)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ),
inference(reorient_equations,[],[f74]) ).
fof(f76,plain,
! [X3,X0,X1,X4] :
( inverse(sk_c8) != sk_c7
| sk_c8 != multiply(sk_c7,sk_c6)
| inverse(X0) != sk_c8
| sk_c8 != multiply(X0,sk_c7)
| sk_c7 != multiply(X1,inverse(X1))
| sk_c7 != multiply(inverse(X1),sk_c8)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ),
inference(equality_resolution,[],[f75]) ).
fof(f78,definition,
( spl0_1
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f79,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f81,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f82,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_3
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f85,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_3 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl0_4
<=> ! [X1] :
( sk_c7 != multiply(X1,inverse(X1))
| sk_c7 != multiply(inverse(X1),sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f89,plain,
( ! [X1] :
( sk_c7 != multiply(X1,inverse(X1))
| sk_c7 != multiply(inverse(X1),sk_c8) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,definition,
( spl0_5
<=> sk_c8 = multiply(sk_c7,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f92,plain,
( sk_c8 = multiply(sk_c7,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( sk_c8 != multiply(sk_c7,sk_c6)
| spl0_5 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,definition,
( spl0_6
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f96,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f97,plain,
( inverse(sk_c8) != sk_c7
| spl0_6 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f76,f95,f91,f81,f88,f84,f81,f78]) ).
fof(f100,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f101,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl0_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f104,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f106,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f109,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f111,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f71,f104,f109]) ).
fof(f114,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f116,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f119,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f121,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f123,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f65,f104,f84]) ).
fof(f125,definition,
( spl0_12
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f127,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f63,f125,f100]) ).
fof(f129,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f61,f125,f109]) ).
fof(f130,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f59,f125,f114]) ).
fof(f131,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f57,f125,f119]) ).
fof(f132,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f55,f125,f84]) ).
fof(f134,definition,
( spl0_13
<=> sk_c7 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f136,plain,
( sk_c7 = multiply(sk_c2,sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f53,f134,f100]) ).
fof(f138,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f51,f134,f109]) ).
fof(f139,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f49,f134,f114]) ).
fof(f140,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f47,f134,f119]) ).
fof(f141,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f45,f134,f84]) ).
fof(f143,definition,
( spl0_14
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f145,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f148,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f39,f143,f114]) ).
fof(f149,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f37,f143,f119]) ).
fof(f152,definition,
( spl0_15
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f154,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f157,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f29,f152,f114]) ).
fof(f158,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f27,f152,f119]) ).
fof(f160,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f23,f91,f100]) ).
fof(f161,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f91,f109]) ).
fof(f162,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f19,f91,f114]) ).
fof(f163,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f17,f91,f119]) ).
fof(f164,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f15,f91,f84]) ).
fof(f165,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f13,f95,f100]) ).
fof(f166,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f11,f95,f109]) ).
fof(f167,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f95,f114]) ).
fof(f168,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f7,f95,f119]) ).
fof(f169,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f5,f95,f84]) ).
fof(f170,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f3,f111]) ).
fof(f171,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f3,f121]) ).
fof(f174,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f175,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
| ~ spl0_3 ),
inference(superposition,[],[f4,f85]) ).
fof(f176,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f170]) ).
fof(f177,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f116]) ).
fof(f179,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f176,f1]) ).
fof(f180,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f174,f1]) ).
fof(f189,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f179,f102]) ).
fof(f192,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f177,f85]) ).
fof(f216,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f180,f171]) ).
fof(f222,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl0_9 ),
inference(superposition,[],[f180,f170]) ).
fof(f223,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_10 ),
inference(superposition,[],[f180,f116]) ).
fof(f232,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f223,f121]) ).
fof(f233,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f175,f232]) ).
fof(f236,plain,
( sk_c6 = multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f233,f189]) ).
fof(f243,plain,
( sk_c8 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f180,f236]) ).
fof(f245,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f243,f3]) ).
fof(f251,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f216,f245]) ).
fof(f253,plain,
( identity = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f251,f3]) ).
fof(f254,plain,
( sk_c8 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f253,f245]) ).
fof(f259,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f171,f254]) ).
fof(f262,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f259,f232]) ).
fof(f264,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f262,f245]) ).
fof(f266,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f222,f262]) ).
fof(f270,plain,
( identity = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f266,f3]) ).
fof(f271,plain,
( sk_c8 = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f270,f245]) ).
fof(f272,plain,
( multiply(sk_c8,sk_c8) = multiply(sk_c8,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f192,f254]) ).
fof(f273,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f272,f232]) ).
fof(f291,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f273,f264]) ).
fof(f292,plain,
( sk_c8 != sk_c7
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f93,f291]) ).
fof(f294,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f180,f291]) ).
fof(f296,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f294,f3]) ).
fof(f298,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f292,f264]) ).
fof(f299,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f300,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f296,f245]) ).
fof(f302,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f300,f264]) ).
fof(f306,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f97,f264]) ).
fof(f314,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f271,f264]) ).
fof(f323,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f111,f314]) ).
fof(f324,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f323,f306]) ).
fof(f325,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f331,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f3,f96]) ).
fof(f341,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f180,f136]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f136]) ).
fof(f343,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f341,f127]) ).
fof(f347,plain,
( identity != sk_c6
| spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f86,f331]) ).
fof(f378,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c3)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f180,f343]) ).
fof(f380,plain,
( identity = sk_c7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f378,f3]) ).
fof(f383,plain,
( multiply(sk_c2,sk_c3) = multiply(sk_c7,sk_c7)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f342,f343]) ).
fof(f389,plain,
( sk_c6 = multiply(sk_c2,sk_c3)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f383,f189]) ).
fof(f392,plain,
( sk_c7 = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f389,f136]) ).
fof(f393,plain,
( sk_c7 != sk_c6
| spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f347,f380]) ).
fof(f394,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f222,f380]) ).
fof(f398,plain,
( identity = sk_c5
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f394,f3]) ).
fof(f400,plain,
( sk_c7 = sk_c5
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f398,f380]) ).
fof(f409,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f85,f392]) ).
fof(f418,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f180,f409]) ).
fof(f420,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f418,f3]) ).
fof(f422,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f420,f380]) ).
fof(f463,definition,
( spl0_16
<=> sk_c7 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f464,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f492,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f85,f302]) ).
fof(f500,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f492,f331]) ).
fof(f519,plain,
( sk_c8 != sk_c7
| sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f82,f96]) ).
fof(f520,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f82,f121]) ).
fof(f524,plain,
( sk_c8 != multiply(sk_c4,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f520]) ).
fof(f532,definition,
( spl0_19
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f533,plain,
( sk_c8 = sk_c7
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f534,plain,
( sk_c8 != sk_c7
| spl0_19 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f536,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f524,f116]) ).
fof(f537,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f539,definition,
( spl0_20
<=> sk_c8 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f540,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f541,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| spl0_20 ),
inference(avatar_component_clause,[],[f539]) ).
fof(f542,plain,
( ~ spl0_20
| ~ spl0_19
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f519,f95,f81,f532,f539]) ).
fof(f543,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f422,f134,f125,f109,f100,f84,f532]) ).
fof(f546,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl0_8
| ~ spl0_19 ),
inference(superposition,[],[f106,f533]) ).
fof(f547,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f331,f533]) ).
fof(f550,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f547,f189]) ).
fof(f562,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f409,f533]) ).
fof(f587,plain,
( ! [X1] :
( sk_c7 != multiply(inverse(X1),sk_c7)
| sk_c7 != multiply(X1,inverse(X1)) )
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f89,f533]) ).
fof(f588,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f587,f96]) ).
fof(f590,plain,
( sk_c7 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_19 ),
inference(superposition,[],[f587,f154]) ).
fof(f591,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| sk_c7 != multiply(sk_c2,sk_c3)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f587,f127]) ).
fof(f595,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f590,f533]) ).
fof(f598,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f595,f562]) ).
fof(f601,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f598,f533]) ).
fof(f606,plain,
( sk_c8 != sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_demodulation,[],[f601,f145]) ).
fof(f607,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f606,f533]) ).
fof(f608,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f609,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f79,f392]) ).
fof(f611,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c5,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f609,f111]) ).
fof(f614,plain,
( sk_c7 != multiply(sk_c5,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f611]) ).
fof(f618,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f614,f400]) ).
fof(f621,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f618,f562]) ).
fof(f622,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f628,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f588,f189]) ).
fof(f631,definition,
( spl0_21
<=> sk_c7 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f632,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f634,plain,
( ~ spl0_13
| ~ spl0_21
| ~ spl0_4
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f591,f532,f125,f88,f631,f134]) ).
fof(f656,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| sk_c7 != sk_c6
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f628,f533]) ).
fof(f662,definition,
( spl0_23
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f663,plain,
( sk_c7 = sk_c6
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f664,plain,
( sk_c7 != sk_c6
| spl0_23 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f672,plain,
( sk_c7 != sk_c6
| sk_c7 != sk_c6
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f656,f189]) ).
fof(f673,plain,
( sk_c7 != sk_c6
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f672]) ).
fof(f675,plain,
( ~ spl0_23
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f673,f532,f109,f100,f95,f88,f662]) ).
fof(f687,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(superposition,[],[f500,f550]) ).
fof(f700,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f264,f119,f114,f109,f100,f84,f532]) ).
fof(f707,plain,
( spl0_23
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f687,f532,f119,f114,f109,f100,f95,f84,f662]) ).
fof(f730,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_demodulation,[],[f85,f663]) ).
fof(f784,plain,
( spl0_21
| ~ spl0_8
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f546,f532,f104,f631]) ).
fof(f794,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f101,f400]) ).
fof(f799,plain,
( sk_c8 != sk_c7
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f794,f92]) ).
fof(f804,plain,
( ~ spl0_19
| ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f799,f134,f125,f109,f100,f91,f532]) ).
fof(f806,plain,
( identity = sk_c6
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f331,f85]) ).
fof(f810,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f806,f380]) ).
fof(f824,plain,
( spl0_23
| ~ spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f810,f134,f125,f95,f84,f662]) ).
fof(f834,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c3,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f136]) ).
fof(f842,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_23 ),
inference(superposition,[],[f180,f730]) ).
fof(f844,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_23 ),
inference(forward_demodulation,[],[f842,f3]) ).
fof(f846,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23 ),
inference(forward_demodulation,[],[f844,f380]) ).
fof(f847,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| spl0_19
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f846,f534]) ).
fof(f848,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| spl0_19
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f847]) ).
fof(f860,plain,
( ~ spl0_23
| spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f393,f134,f125,f95,f84,f662]) ).
fof(f865,plain,
( sk_c8 != sk_c7
| sk_c7 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f79,f92]) ).
fof(f877,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_21 ),
inference(superposition,[],[f4,f632]) ).
fof(f923,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c2,sk_c7)
| ~ spl0_8
| ~ spl0_13 ),
inference(superposition,[],[f834,f106]) ).
fof(f930,plain,
( identity = multiply(sk_c2,sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f923,f331]) ).
fof(f932,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f930,f380]) ).
fof(f933,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f932,f134,f125,f104,f95,f463]) ).
fof(f934,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_16 ),
inference(superposition,[],[f180,f464]) ).
fof(f936,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl0_12
| ~ spl0_16 ),
inference(forward_demodulation,[],[f934,f127]) ).
fof(f940,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_5
| ~ spl0_21 ),
inference(superposition,[],[f877,f92]) ).
fof(f947,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f940,f106]) ).
fof(f953,plain,
( spl0_21
| ~ spl0_12
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f936,f463,f125,f631]) ).
fof(f957,plain,
( spl0_19
| ~ spl0_5
| ~ spl0_8
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f947,f631,f104,f91,f532]) ).
fof(f960,definition,
( spl0_25
<=> sk_c7 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f961,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f963,plain,
( ~ spl0_25
| ~ spl0_19
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f865,f91,f78,f532,f960]) ).
fof(f964,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_6
| ~ spl0_19 ),
inference(superposition,[],[f96,f533]) ).
fof(f974,plain,
( spl0_25
| ~ spl0_6
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f964,f532,f95,f960]) ).
fof(f982,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_25 ),
inference(superposition,[],[f3,f961]) ).
fof(f983,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_25 ),
inference(forward_demodulation,[],[f982,f380]) ).
fof(f1010,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f540,f533]) ).
fof(f1013,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f4,f1010]) ).
fof(f1051,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c7),multiply(sk_c7,X0))
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f180,f1013]) ).
fof(f1054,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1051,f180]) ).
fof(f1089,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f1054,f92]) ).
fof(f1107,plain,
( sk_c7 = sk_c6
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f1089,f533]) ).
fof(f1114,plain,
( $false
| ~ spl0_5
| ~ spl0_19
| ~ spl0_20
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f1107,f664]) ).
fof(f1115,plain,
( ~ spl0_5
| ~ spl0_19
| ~ spl0_20
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f1114]) ).
fof(f1119,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_19
| spl0_20 ),
inference(forward_demodulation,[],[f541,f533]) ).
fof(f1135,plain,
( $false
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| spl0_20
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f983,f1119]) ).
fof(f1136,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| spl0_20
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1135]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f98]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f112]) ).
cnf(s7,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f123]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s9,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f129]) ).
cnf(s10,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f130]) ).
cnf(s11,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f131]) ).
cnf(s12,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f132]) ).
cnf(s13,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s14,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s15,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s16,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s17,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f141]) ).
cnf(s20,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s21,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s25,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s26,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f158]) ).
cnf(s28,plain,
( spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f160]) ).
cnf(s29,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f161]) ).
cnf(s30,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f162]) ).
cnf(s31,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f163]) ).
cnf(s32,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f164]) ).
cnf(s33,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f165]) ).
cnf(s34,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f166]) ).
cnf(s35,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f167]) ).
cnf(s36,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f168]) ).
cnf(s37,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f169]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f299]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f325]) ).
cnf(s47,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f537]) ).
cnf(s48,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f542]) ).
cnf(s49,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| spl0_19 ),
inference(sat_conversion,[],[f543]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(sat_conversion,[],[f608]) ).
cnf(s54,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f622]) ).
cnf(s57,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f634]) ).
cnf(s60,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19
| ~ spl0_23 ),
inference(sat_conversion,[],[f675]) ).
cnf(s69,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f700]) ).
cnf(s76,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_19
| spl0_23 ),
inference(sat_conversion,[],[f707]) ).
cnf(s87,plain,
( ~ spl0_8
| ~ spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f784]) ).
cnf(s90,plain,
( ~ spl0_5
| spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f804]) ).
cnf(s93,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| spl0_23 ),
inference(sat_conversion,[],[f824]) ).
cnf(s97,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| spl0_19
| ~ spl0_23 ),
inference(sat_conversion,[],[f848]) ).
cnf(s101,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_23 ),
inference(sat_conversion,[],[f860]) ).
cnf(s107,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f933]) ).
cnf(s109,plain,
( ~ spl0_12
| ~ spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f953]) ).
cnf(s113,plain,
( ~ spl0_5
| ~ spl0_8
| spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f957]) ).
cnf(s114,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_19
| ~ spl0_25 ),
inference(sat_conversion,[],[f963]) ).
cnf(s117,plain,
( ~ spl0_6
| ~ spl0_19
| spl0_25 ),
inference(sat_conversion,[],[f974]) ).
cnf(s123,plain,
( ~ spl0_5
| ~ spl0_19
| ~ spl0_20
| spl0_23 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s124,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_19
| spl0_20
| ~ spl0_25 ),
inference(sat_conversion,[],[f1136]) ).
cnf(s125,plain,
spl0_3,
inference(rat,[],[s124,s117,s123,s113,s109,s107,s101,s7,s12,s17,s32,s37]) ).
cnf(s126,plain,
spl0_6,
inference(rat,[],[s39,s33,s34,s35,s36,s125]) ).
cnf(s127,plain,
spl0_5,
inference(rat,[],[s38,s28,s29,s30,s31,s125]) ).
cnf(s128,plain,
( ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s76,s60,s69,s125,s126]) ).
cnf(s129,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_12
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(rat,[],[s49,s52,s125]) ).
cnf(s130,plain,
( spl0_11
| ~ spl0_9
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s129,s11,s16,s21,s26]) ).
cnf(s131,plain,
( ~ spl0_11
| ~ spl0_9
| ~ spl0_4
| ~ spl0_7 ),
inference(rat,[],[s129,s10,s15,s20,s25,s128]) ).
cnf(s132,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s131,s130]) ).
cnf(s133,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s87,s4,s57,s97,s93,s9,s14,s125,s126]) ).
cnf(s134,plain,
( ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s97,s90,s93,s8,s13,s132,s126,s127,s125]) ).
cnf(s135,plain,
~ spl0_4,
inference(rat,[],[s134,s133]) ).
cnf(s136,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s47,s15,s16]) ).
cnf(s137,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s47,s10,s11]) ).
cnf(s139,plain,
~ spl0_2,
inference(rat,[],[s48,s124,s117,s97,s93,s137,s136,s126,s125]) ).
cnf(s140,plain,
spl0_1,
inference(rat,[],[s2,s126,s125,s127,s135,s139]) ).
cnf(s141,plain,
( ~ spl0_13
| ~ spl0_12
| ~ spl0_7
| ~ spl0_9 ),
inference(rat,[],[s49,s54,s140,s125]) ).
cnf(s142,plain,
~ spl0_19,
inference(rat,[],[s114,s117,s127,s140,s126]) ).
cnf(s143,plain,
( spl0_13
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s69,s15,s16,s125,s142]) ).
cnf(s144,plain,
( ~ spl0_13
| ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s69,s10,s11,s141,s142,s125]) ).
cnf(s145,plain,
( ~ spl0_9
| ~ spl0_7 ),
inference(rat,[],[s144,s143]) ).
cnf(s146,plain,
( ~ spl0_13
| ~ spl0_12 ),
inference(rat,[],[s97,s93,s126,s142,s125]) ).
cnf(s147,plain,
spl0_9,
inference(rat,[],[s146,s9,s14]) ).
cnf(s148,plain,
~ spl0_7,
inference(rat,[],[s145,s147]) ).
cnf(s151,plain,
spl0_13,
inference(rat,[],[s13,s148]) ).
cnf(s152,plain,
spl0_12,
inference(rat,[],[s8,s148]) ).
cnf(s154,plain,
$false,
inference(rat,[],[s146,s152,s151]) ).
fof(f1137,plain,
$false,
inference(avatar_sat_refutation,[],[s154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP383-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n015.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 10:03:31 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.19/1.35 % (1418555)Input is clausal, will run a generic CNF schedule.
% 3.19/1.35 % (1418562)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1499186017:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.19/1.35 % (1418566)dis-21_1_sil=8000:lcm=predicate:random_seed=3468576248:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.19/1.35 % (1418561)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2173659983:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.19/1.35 % (1418564)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3348493118:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.19/1.35 % (1418563)lrs+10_1_sil=8000:sp=occurrence:random_seed=1331515257:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.19/1.35 % (1418565)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3339385757:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.19/1.35 % (1418560)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=598351771:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.19/1.35 % (1418566)Refutation not found, incomplete strategy
% 3.19/1.35 % (1418566)------------------------------
% 3.19/1.35 % (1418566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.35 % (1418566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.35 % (1418566)CaDiCaL version: 2.1.3
% 3.19/1.35 % (1418566)Termination reason: Refutation not found, incomplete strategy
% 3.19/1.35 % (1418566)Time elapsed: 0.002 s
% 3.19/1.35 % (1418566)Peak memory usage: 88 MB
% 3.19/1.35 % (1418566)Instructions burned: 2 (million)
% 3.19/1.35 % (1418563)Refutation not found, incomplete strategy
% 3.19/1.35 % (1418563)------------------------------
% 3.19/1.35 % (1418563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.35 % (1418563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.35 % (1418563)CaDiCaL version: 2.1.3
% 3.19/1.35 % (1418563)Termination reason: Refutation not found, incomplete strategy
% 3.19/1.35 % (1418563)Time elapsed: 0.003 s
% 3.19/1.35 % (1418563)Peak memory usage: 88 MB
% 3.19/1.35 % (1418563)Instructions burned: 3 (million)
% 3.19/1.35 % (1418565)First to succeed.
% 3.19/1.35 % (1418565)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1418555"
% 3.19/1.35 % (1418564)Instruction limit reached!
% 3.19/1.35 % (1418564)------------------------------
% 3.19/1.35 % (1418564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.35 % (1418564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.35 % (1418564)CaDiCaL version: 2.1.3
% 3.19/1.35 % (1418564)Termination reason: Instruction limit
% 3.19/1.35 % (1418564)Termination phase: Saturation
% 3.19/1.35 % (1418564)Time elapsed: 0.069 s
% 3.19/1.35 % (1418564)Peak memory usage: 89 MB
% 3.19/1.35 % (1418564)Instructions burned: 116 (million)
% 3.19/1.35 % (1418574)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=1634347119:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.19/1.35 % (1418574)Refutation not found, incomplete strategy
% 3.19/1.35 % (1418574)------------------------------
% 3.19/1.35 % (1418574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.19/1.35 % (1418574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.19/1.35 % (1418574)CaDiCaL version: 2.1.3
% 3.19/1.35 % (1418574)Termination reason: Refutation not found, incomplete strategy
% 3.19/1.35 % (1418574)Time elapsed: 0.003 s
% 3.19/1.35 % (1418574)Peak memory usage: 88 MB
% 3.19/1.35 % (1418574)Instructions burned: 3 (million)
% 3.19/1.35 % (1418566)------------------------------
% 3.19/1.35 % (1418566)------------------------------
% 3.19/1.35 % (1418563)------------------------------
% 3.19/1.35 % (1418563)------------------------------
% 3.19/1.35 % (1418565)Refutation found. Thanks to Tanya!
% 3.19/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.19/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.54 % (1418565)------------------------------
% 3.90/1.54 % (1418565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.54 % (1418565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.54 % (1418565)CaDiCaL version: 2.1.3
% 3.90/1.54 % (1418565)Termination reason: Refutation
% 3.90/1.54 % (1418565)Time elapsed: 0.025 s
% 3.90/1.54 % (1418565)Peak memory usage: 90 MB
% 3.90/1.54 % (1418565)Instructions burned: 39 (million)
% 3.90/1.54 % (1418565)------------------------------
% 3.90/1.54 % (1418565)------------------------------
% 3.90/1.54 % (1418555)Success in time 0.462 s
% 3.90/1.54 % Vampire exiting
%------------------------------------------------------------------------------