%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP208-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 10:13:20 AM UTC 2026
% Result : Unsatisfiable 2.94s 1.76s
% Output : Refutation 6.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 64
% Syntax : Number of formulae : 357 ( 17 unt; 26 def)
% Number of atoms : 1026 ( 374 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 1247 ( 578 ~; 643 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 27 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f11,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c12 = inverse(sk_c7) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c12 = multiply(sk_c7,sk_c11) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c11 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c9 = inverse(sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c12
| multiply(sk_c9,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| sk_c11 = multiply(sk_c9,sk_c12) ),
inference(reorient_equations,[],[f19]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c2 = inverse(sk_c1)
| sk_c12 = inverse(sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c2 = inverse(sk_c1)
| sk_c12 = multiply(sk_c7,sk_c11) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c2 = inverse(sk_c1)
| sk_c9 = inverse(sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c9,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c2 = inverse(sk_c1)
| sk_c11 = multiply(sk_c9,sk_c12) ),
inference(reorient_equations,[],[f39]) ).
fof(f65,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c11 = multiply(sk_c12,sk_c4)
| sk_c12 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c11 = multiply(sk_c12,sk_c4)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f67]) ).
fof(f71,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c11 = multiply(sk_c12,sk_c4)
| sk_c12 = inverse(sk_c7) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c12,sk_c4) = sk_c11
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c11 = multiply(sk_c12,sk_c4)
| sk_c12 = multiply(sk_c7,sk_c11) ),
inference(reorient_equations,[],[f73]) ).
fof(f85,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f86,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f88,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f92,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c12 = inverse(sk_c7) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f94,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c7,sk_c11) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f96,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c11 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f98,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c9 = inverse(sk_c8) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c9,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f100,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c11 = multiply(sk_c9,sk_c12) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| inverse(sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c11 = inverse(sk_c10) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c4
| multiply(sk_c10,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f104,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| sk_c11 = multiply(sk_c10,sk_c12) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c5,sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).
fof(f106,plain,
( sk_c12 = inverse(sk_c3)
| sk_c12 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f105]) ).
fof(f107,negated_conjecture,
( inverse(sk_c3) = sk_c12
| inverse(sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).
fof(f108,plain,
( sk_c12 = inverse(sk_c3)
| sk_c6 = inverse(sk_c5) ),
inference(reorient_equations,[],[f107]) ).
fof(f109,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).
fof(f110,plain,
( sk_c12 = inverse(sk_c3)
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f109]) ).
fof(f111,negated_conjecture,
( inverse(sk_c3) = sk_c12
| inverse(sk_c7) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).
fof(f112,plain,
( sk_c12 = inverse(sk_c3)
| sk_c12 = inverse(sk_c7) ),
inference(reorient_equations,[],[f111]) ).
fof(f113,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c7,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f114,plain,
( sk_c12 = inverse(sk_c3)
| sk_c12 = multiply(sk_c7,sk_c11) ),
inference(reorient_equations,[],[f113]) ).
fof(f115,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c8,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f116,plain,
( sk_c12 = inverse(sk_c3)
| sk_c11 = multiply(sk_c8,sk_c9) ),
inference(reorient_equations,[],[f115]) ).
fof(f117,negated_conjecture,
( inverse(sk_c3) = sk_c12
| inverse(sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_57) ).
fof(f118,plain,
( sk_c12 = inverse(sk_c3)
| sk_c9 = inverse(sk_c8) ),
inference(reorient_equations,[],[f117]) ).
fof(f119,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c9,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).
fof(f120,plain,
( sk_c12 = inverse(sk_c3)
| sk_c11 = multiply(sk_c9,sk_c12) ),
inference(reorient_equations,[],[f119]) ).
fof(f121,negated_conjecture,
( inverse(sk_c3) = sk_c12
| inverse(sk_c10) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).
fof(f122,plain,
( sk_c12 = inverse(sk_c3)
| sk_c11 = inverse(sk_c10) ),
inference(reorient_equations,[],[f121]) ).
fof(f123,negated_conjecture,
( inverse(sk_c3) = sk_c12
| multiply(sk_c10,sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_60) ).
fof(f124,plain,
( sk_c12 = inverse(sk_c3)
| sk_c11 = multiply(sk_c10,sk_c12) ),
inference(reorient_equations,[],[f123]) ).
fof(f125,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( multiply(X0,X1) != sk_c12
| inverse(X0) != X1
| multiply(X1,sk_c11) != sk_c12
| multiply(sk_c12,X2) != sk_c11
| multiply(X3,sk_c12) != X2
| inverse(X3) != sk_c12
| multiply(X4,X5) != sk_c12
| inverse(X4) != X5
| multiply(X5,sk_c11) != sk_c12
| inverse(X6) != sk_c12
| multiply(X6,sk_c11) != sk_c12
| multiply(X7,X8) != sk_c11
| inverse(X7) != X8
| multiply(X8,sk_c12) != sk_c11
| inverse(X9) != sk_c11
| multiply(X9,sk_c12) != sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).
fof(f126,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( multiply(X0,X1) != sk_c12
| inverse(X0) != X1
| sk_c12 != multiply(X1,sk_c11)
| sk_c11 != multiply(sk_c12,X2)
| multiply(X3,sk_c12) != X2
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11)
| sk_c11 != multiply(X7,X8)
| inverse(X7) != X8
| sk_c11 != multiply(X8,sk_c12)
| sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ),
inference(reorient_equations,[],[f125]) ).
fof(f127,plain,
! [X2,X3,X0,X8,X6,X9,X7,X4,X5] :
( sk_c12 != multiply(X0,inverse(X0))
| sk_c12 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(sk_c12,X2)
| multiply(X3,sk_c12) != X2
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11)
| sk_c11 != multiply(X7,X8)
| inverse(X7) != X8
| sk_c11 != multiply(X8,sk_c12)
| sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ),
inference(equality_resolution,[],[f126]) ).
fof(f128,plain,
! [X3,X0,X8,X6,X9,X7,X4,X5] :
( sk_c12 != multiply(X0,inverse(X0))
| sk_c12 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X3,sk_c12))
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11)
| sk_c11 != multiply(X7,X8)
| inverse(X7) != X8
| sk_c11 != multiply(X8,sk_c12)
| sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ),
inference(equality_resolution,[],[f127]) ).
fof(f129,plain,
! [X3,X0,X8,X6,X9,X7,X4] :
( sk_c12 != multiply(X0,inverse(X0))
| sk_c12 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X3,sk_c12))
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X4,inverse(X4))
| sk_c12 != multiply(inverse(X4),sk_c11)
| sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11)
| sk_c11 != multiply(X7,X8)
| inverse(X7) != X8
| sk_c11 != multiply(X8,sk_c12)
| sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ),
inference(equality_resolution,[],[f128]) ).
fof(f130,plain,
! [X3,X0,X6,X9,X7,X4] :
( sk_c12 != multiply(X0,inverse(X0))
| sk_c12 != multiply(inverse(X0),sk_c11)
| sk_c11 != multiply(sk_c12,multiply(X3,sk_c12))
| sk_c12 != inverse(X3)
| sk_c12 != multiply(X4,inverse(X4))
| sk_c12 != multiply(inverse(X4),sk_c11)
| sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11)
| sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c12)
| sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ),
inference(equality_resolution,[],[f129]) ).
fof(f132,definition,
( spl0_1
<=> ! [X9] :
( sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f133,plain,
( ! [X9] :
( sk_c11 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,definition,
( spl0_2
<=> ! [X7] :
( sk_c11 != multiply(X7,inverse(X7))
| sk_c11 != multiply(inverse(X7),sk_c12) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f136,plain,
( ! [X7] :
( sk_c11 != multiply(inverse(X7),sk_c12)
| sk_c11 != multiply(X7,inverse(X7)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,definition,
( spl0_3
<=> ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f139,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c11) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,definition,
( spl0_4
<=> ! [X4] :
( sk_c12 != multiply(X4,inverse(X4))
| sk_c12 != multiply(inverse(X4),sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f142,plain,
( ! [X4] :
( sk_c12 != multiply(inverse(X4),sk_c11)
| sk_c12 != multiply(X4,inverse(X4)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,definition,
( spl0_5
<=> ! [X3] :
( sk_c11 != multiply(sk_c12,multiply(X3,sk_c12))
| sk_c12 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f145,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c11 != multiply(sk_c12,multiply(X3,sk_c12)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f130,f141,f144,f141,f138,f135,f132]) ).
fof(f148,definition,
( spl0_6
<=> sk_c11 = multiply(sk_c10,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f150,plain,
( sk_c11 = multiply(sk_c10,sk_c12)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f152,definition,
( spl0_7
<=> sk_c12 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f154,plain,
( sk_c12 = inverse(sk_c3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f124,f152,f148]) ).
fof(f157,definition,
( spl0_8
<=> sk_c11 = inverse(sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f159,plain,
( sk_c11 = inverse(sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f122,f152,f157]) ).
fof(f162,definition,
( spl0_9
<=> sk_c11 = multiply(sk_c9,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f164,plain,
( sk_c11 = multiply(sk_c9,sk_c12)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f120,f152,f162]) ).
fof(f167,definition,
( spl0_10
<=> sk_c9 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f169,plain,
( sk_c9 = inverse(sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f118,f152,f167]) ).
fof(f172,definition,
( spl0_11
<=> sk_c11 = multiply(sk_c8,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f175,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f116,f152,f172]) ).
fof(f177,definition,
( spl0_12
<=> sk_c12 = multiply(sk_c7,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f179,plain,
( sk_c12 = multiply(sk_c7,sk_c11)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f180,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f114,f152,f177]) ).
fof(f182,definition,
( spl0_13
<=> sk_c12 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f184,plain,
( sk_c12 = inverse(sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f185,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f112,f152,f182]) ).
fof(f187,definition,
( spl0_14
<=> sk_c12 = multiply(sk_c6,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f189,plain,
( sk_c12 = multiply(sk_c6,sk_c11)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f190,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f110,f152,f187]) ).
fof(f192,definition,
( spl0_15
<=> sk_c6 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f194,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f195,plain,
( spl0_15
| spl0_7 ),
inference(avatar_split_clause,[],[f108,f152,f192]) ).
fof(f197,definition,
( spl0_16
<=> sk_c12 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f199,plain,
( sk_c12 = multiply(sk_c5,sk_c6)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f197]) ).
fof(f200,plain,
( spl0_16
| spl0_7 ),
inference(avatar_split_clause,[],[f106,f152,f197]) ).
fof(f202,definition,
( spl0_17
<=> sk_c4 = multiply(sk_c3,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f204,plain,
( sk_c4 = multiply(sk_c3,sk_c12)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f205,plain,
( spl0_6
| spl0_17 ),
inference(avatar_split_clause,[],[f104,f202,f148]) ).
fof(f206,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f102,f202,f157]) ).
fof(f207,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f100,f202,f162]) ).
fof(f208,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f98,f202,f167]) ).
fof(f209,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f96,f202,f172]) ).
fof(f210,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f94,f202,f177]) ).
fof(f211,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f92,f202,f182]) ).
fof(f212,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f90,f202,f187]) ).
fof(f213,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f88,f202,f192]) ).
fof(f214,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f86,f202,f197]) ).
fof(f216,definition,
( spl0_18
<=> sk_c11 = multiply(sk_c12,sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f218,plain,
( sk_c11 = multiply(sk_c12,sk_c4)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f224,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f74,f216,f177]) ).
fof(f225,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f72,f216,f182]) ).
fof(f227,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f68,f216,f192]) ).
fof(f228,plain,
( spl0_16
| spl0_18 ),
inference(avatar_split_clause,[],[f66,f216,f197]) ).
fof(f244,definition,
( spl0_20
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f246,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f249,plain,
( spl0_9
| spl0_20 ),
inference(avatar_split_clause,[],[f40,f244,f162]) ).
fof(f250,plain,
( spl0_10
| spl0_20 ),
inference(avatar_split_clause,[],[f38,f244,f167]) ).
fof(f251,plain,
( spl0_11
| spl0_20 ),
inference(avatar_split_clause,[],[f36,f244,f172]) ).
fof(f252,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f34,f244,f177]) ).
fof(f253,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f32,f244,f182]) ).
fof(f258,definition,
( spl0_21
<=> multiply(sk_c1,sk_c2) = sk_c12 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f260,plain,
( multiply(sk_c1,sk_c2) = sk_c12
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f263,plain,
( spl0_9
| spl0_21 ),
inference(avatar_split_clause,[],[f20,f258,f162]) ).
fof(f264,plain,
( spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f18,f258,f167]) ).
fof(f265,plain,
( spl0_11
| spl0_21 ),
inference(avatar_split_clause,[],[f16,f258,f172]) ).
fof(f266,plain,
( spl0_12
| spl0_21 ),
inference(avatar_split_clause,[],[f14,f258,f177]) ).
fof(f267,plain,
( spl0_13
| spl0_21 ),
inference(avatar_split_clause,[],[f12,f258,f182]) ).
fof(f273,plain,
( sk_c11 != multiply(sk_c9,sk_c12)
| sk_c11 != multiply(sk_c8,sk_c9)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f136,f169]) ).
fof(f280,definition,
( spl0_23
<=> sk_c11 = multiply(sk_c11,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f281,plain,
( sk_c11 = multiply(sk_c11,sk_c12)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f282,plain,
( sk_c11 != multiply(sk_c11,sk_c12)
| spl0_23 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,plain,
( sk_c11 != multiply(sk_c8,sk_c9)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f273,f164]) ).
fof(f290,definition,
( spl0_25
<=> sk_c11 = multiply(sk_c12,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f291,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f292,plain,
( sk_c11 != multiply(sk_c12,sk_c12)
| spl0_25 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f302,definition,
( spl0_27
<=> sk_c12 = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f303,plain,
( sk_c12 = sk_c11
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f304,plain,
( sk_c12 != sk_c11
| spl0_27 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f306,plain,
( ~ spl0_11
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f284,f167,f162,f135,f172]) ).
fof(f307,plain,
( sk_c11 != multiply(sk_c12,sk_c12)
| sk_c11 != multiply(sk_c3,sk_c12)
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f136,f154]) ).
fof(f309,definition,
( spl0_28
<=> sk_c11 = multiply(sk_c3,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f311,plain,
( sk_c11 != multiply(sk_c3,sk_c12)
| spl0_28 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f312,plain,
( ~ spl0_28
| ~ spl0_25
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f307,f152,f135,f290,f309]) ).
fof(f324,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_20 ),
inference(superposition,[],[f3,f246]) ).
fof(f325,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl0_15 ),
inference(superposition,[],[f3,f194]) ).
fof(f326,plain,
( identity = multiply(sk_c12,sk_c7)
| ~ spl0_13 ),
inference(superposition,[],[f3,f184]) ).
fof(f341,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f343,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
| ~ spl0_20 ),
inference(superposition,[],[f4,f324]) ).
fof(f344,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c12,X0)
| ~ spl0_21 ),
inference(superposition,[],[f4,f260]) ).
fof(f348,plain,
( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_16 ),
inference(superposition,[],[f4,f199]) ).
fof(f353,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
| ~ spl0_20 ),
inference(forward_demodulation,[],[f343,f1]) ).
fof(f355,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f341,f1]) ).
fof(f357,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f325]) ).
fof(f358,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
| ~ spl0_15 ),
inference(forward_demodulation,[],[f357,f1]) ).
fof(f359,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c7,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f326]) ).
fof(f360,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c7,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f359,f1]) ).
fof(f367,plain,
( sk_c2 = multiply(sk_c2,sk_c12)
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f353,f260]) ).
fof(f377,plain,
( multiply(sk_c1,sk_c2) = multiply(sk_c12,sk_c12)
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f344,f367]) ).
fof(f379,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f377,f260]) ).
fof(f386,plain,
( sk_c12 != sk_c11
| ~ spl0_20
| ~ spl0_21
| spl0_25 ),
inference(superposition,[],[f292,f379]) ).
fof(f392,plain,
( sk_c6 = multiply(sk_c6,sk_c12)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f358,f199]) ).
fof(f414,plain,
( multiply(sk_c5,sk_c6) = multiply(sk_c12,sk_c12)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f348,f392]) ).
fof(f422,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f360,f179]) ).
fof(f522,plain,
( sk_c12 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_23 ),
inference(superposition,[],[f355,f281]) ).
fof(f526,plain,
( sk_c12 = multiply(inverse(sk_c3),sk_c4)
| ~ spl0_17 ),
inference(superposition,[],[f355,f204]) ).
fof(f542,plain,
( sk_c12 = multiply(sk_c12,sk_c4)
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f526,f154]) ).
fof(f545,plain,
( identity = sk_c12
| ~ spl0_23 ),
inference(forward_demodulation,[],[f522,f3]) ).
fof(f557,plain,
( sk_c12 = sk_c11
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f218,f542]) ).
fof(f562,plain,
( sk_c4 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f355,f542]) ).
fof(f564,plain,
( identity = sk_c4
| ~ spl0_7
| ~ spl0_17 ),
inference(forward_demodulation,[],[f562,f3]) ).
fof(f573,plain,
( sk_c12 = sk_c4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f564,f545]) ).
fof(f576,plain,
( ~ spl0_27
| ~ spl0_20
| ~ spl0_21
| spl0_25 ),
inference(avatar_split_clause,[],[f386,f290,f258,f244,f302]) ).
fof(f577,plain,
( spl0_27
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f557,f216,f202,f152,f302]) ).
fof(f579,plain,
( sk_c11 != sk_c4
| ~ spl0_17
| spl0_28 ),
inference(forward_demodulation,[],[f311,f204]) ).
fof(f615,plain,
( sk_c12 != sk_c4
| ~ spl0_17
| ~ spl0_27
| spl0_28 ),
inference(forward_demodulation,[],[f579,f303]) ).
fof(f617,plain,
( $false
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f573,f615]) ).
fof(f618,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f620,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| spl0_23
| ~ spl0_27 ),
inference(forward_demodulation,[],[f282,f303]) ).
fof(f623,plain,
( $false
| ~ spl0_20
| ~ spl0_21
| spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f620,f379]) ).
fof(f624,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f627,plain,
( ! [X6] :
( sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,sk_c12) )
| ~ spl0_3
| ~ spl0_27 ),
inference(forward_demodulation,[],[f139,f303]) ).
fof(f634,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c3,sk_c12)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_27 ),
inference(superposition,[],[f627,f154]) ).
fof(f635,plain,
( sk_c12 != multiply(sk_c3,sk_c12)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f634]) ).
fof(f637,plain,
( sk_c12 != sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f635,f204]) ).
fof(f639,plain,
( sk_c12 = sk_c4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f564,f545]) ).
fof(f640,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f639,f637]) ).
fof(f641,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f642,plain,
( ! [X3] :
( sk_c12 != inverse(X3)
| sk_c12 != multiply(sk_c12,multiply(X3,sk_c12)) )
| ~ spl0_5
| ~ spl0_27 ),
inference(forward_demodulation,[],[f145,f303]) ).
fof(f645,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c12,multiply(sk_c7,sk_c12))
| ~ spl0_5
| ~ spl0_13
| ~ spl0_27 ),
inference(superposition,[],[f642,f184]) ).
fof(f646,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c12,multiply(sk_c3,sk_c12))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_27 ),
inference(superposition,[],[f642,f154]) ).
fof(f647,plain,
( sk_c12 != multiply(sk_c12,multiply(sk_c3,sk_c12))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f646]) ).
fof(f648,plain,
( sk_c12 != multiply(sk_c12,multiply(sk_c7,sk_c12))
| ~ spl0_5
| ~ spl0_13
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f645]) ).
fof(f649,plain,
( sk_c12 != multiply(sk_c12,sk_c4)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f647,f204]) ).
fof(f650,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f648,f360]) ).
fof(f651,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f652,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f649,f542]) ).
fof(f653,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f654,plain,
( ! [X4] :
( sk_c12 != multiply(inverse(X4),sk_c12)
| sk_c12 != multiply(X4,inverse(X4)) )
| ~ spl0_4
| ~ spl0_27 ),
inference(forward_demodulation,[],[f142,f303]) ).
fof(f663,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| sk_c12 != multiply(sk_c7,sk_c12)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_27 ),
inference(superposition,[],[f654,f184]) ).
fof(f664,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| sk_c12 != multiply(sk_c3,sk_c12)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_27 ),
inference(superposition,[],[f654,f154]) ).
fof(f667,plain,
( sk_c12 != multiply(sk_c3,sk_c12)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f664,f379]) ).
fof(f671,plain,
( sk_c12 != sk_c4
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_27 ),
inference(forward_demodulation,[],[f667,f204]) ).
fof(f674,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f671,f573]) ).
fof(f675,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f674]) ).
fof(f676,plain,
( ! [X9] :
( sk_c12 != inverse(X9)
| sk_c11 != multiply(X9,sk_c12) )
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_demodulation,[],[f133,f303]) ).
fof(f677,plain,
( ! [X9] :
( sk_c12 != inverse(X9)
| sk_c12 != multiply(X9,sk_c12) )
| ~ spl0_1
| ~ spl0_27 ),
inference(forward_demodulation,[],[f676,f303]) ).
fof(f680,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c7,sk_c12)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_27 ),
inference(superposition,[],[f677,f184]) ).
fof(f681,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c3,sk_c12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_27 ),
inference(superposition,[],[f677,f154]) ).
fof(f682,plain,
( sk_c12 != multiply(sk_c3,sk_c12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f681]) ).
fof(f684,plain,
( sk_c12 != sk_c4
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(forward_demodulation,[],[f682,f204]) ).
fof(f685,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f684,f573]) ).
fof(f686,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f685]) ).
fof(f703,plain,
( sk_c12 = multiply(sk_c7,sk_c12)
| ~ spl0_12
| ~ spl0_27 ),
inference(forward_demodulation,[],[f179,f303]) ).
fof(f761,definition,
( spl0_35
<=> sk_c12 = multiply(sk_c7,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f762,plain,
( sk_c12 = multiply(sk_c7,sk_c12)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f765,definition,
( spl0_36
<=> sk_c12 = multiply(sk_c12,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f766,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f768,plain,
( ~ spl0_35
| ~ spl0_36
| ~ spl0_4
| ~ spl0_13
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f663,f302,f182,f141,f765,f761]) ).
fof(f772,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f414,f199]) ).
fof(f779,plain,
( spl0_36
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f772,f197,f192,f765]) ).
fof(f796,plain,
( spl0_35
| ~ spl0_12
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f703,f302,f177,f761]) ).
fof(f800,plain,
( sk_c12 != multiply(sk_c7,sk_c12)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_27 ),
inference(trivial_inequality_removal,[],[f680]) ).
fof(f802,plain,
( ~ spl0_35
| ~ spl0_1
| ~ spl0_13
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f800,f302,f182,f132,f761]) ).
fof(f805,plain,
( spl0_25
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f422,f182,f177,f290]) ).
fof(f819,plain,
( sk_c12 != multiply(sk_c6,sk_c11)
| sk_c12 != multiply(sk_c5,sk_c6)
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f142,f194]) ).
fof(f840,plain,
( sk_c12 != multiply(sk_c5,sk_c6)
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f819,f189]) ).
fof(f841,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f840,f199]) ).
fof(f842,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f841]) ).
fof(f849,plain,
( sk_c11 != sk_c11
| sk_c11 != multiply(sk_c10,sk_c12)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f133,f159]) ).
fof(f850,plain,
( sk_c11 != multiply(sk_c10,sk_c12)
| ~ spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f849]) ).
fof(f851,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f850,f150]) ).
fof(f852,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f851]) ).
fof(f878,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c7,sk_c11)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f139,f184]) ).
fof(f881,plain,
( sk_c12 != multiply(sk_c7,sk_c11)
| ~ spl0_3
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f878]) ).
fof(f891,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f881,f179]) ).
fof(f892,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f891]) ).
fof(f925,plain,
( sk_c12 = multiply(sk_c12,sk_c12)
| ~ spl0_13
| ~ spl0_35 ),
inference(superposition,[],[f360,f762]) ).
fof(f929,plain,
( spl0_36
| ~ spl0_13
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f925,f761,f182,f765]) ).
fof(f930,plain,
( sk_c12 = sk_c11
| ~ spl0_25
| ~ spl0_36 ),
inference(superposition,[],[f766,f291]) ).
fof(f939,plain,
( $false
| ~ spl0_25
| spl0_27
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f930,f304]) ).
fof(f940,plain,
( ~ spl0_25
| spl0_27
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f939]) ).
cnf(s1,plain,
( spl0_4
| spl0_2
| spl0_3
| spl0_1
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f146]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f155]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f160]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f165]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f170]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f175]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f180]) ).
cnf(s9,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f185]) ).
cnf(s10,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f190]) ).
cnf(s11,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f195]) ).
cnf(s12,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f200]) ).
cnf(s13,plain,
( spl0_6
| spl0_17 ),
inference(sat_conversion,[],[f205]) ).
cnf(s14,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f206]) ).
cnf(s15,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f207]) ).
cnf(s16,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f208]) ).
cnf(s17,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f209]) ).
cnf(s18,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f210]) ).
cnf(s19,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f211]) ).
cnf(s20,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f212]) ).
cnf(s21,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f213]) ).
cnf(s22,plain,
( spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f214]) ).
cnf(s28,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f224]) ).
cnf(s29,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f225]) ).
cnf(s31,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f227]) ).
cnf(s32,plain,
( spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f228]) ).
cnf(s45,plain,
( spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f249]) ).
cnf(s46,plain,
( spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f250]) ).
cnf(s47,plain,
( spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f251]) ).
cnf(s48,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f252]) ).
cnf(s49,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f253]) ).
cnf(s55,plain,
( spl0_9
| spl0_21 ),
inference(sat_conversion,[],[f263]) ).
cnf(s56,plain,
( spl0_10
| spl0_21 ),
inference(sat_conversion,[],[f264]) ).
cnf(s57,plain,
( spl0_11
| spl0_21 ),
inference(sat_conversion,[],[f265]) ).
cnf(s58,plain,
( spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f266]) ).
cnf(s59,plain,
( spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f267]) ).
cnf(s67,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f306]) ).
cnf(s68,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_25
| ~ spl0_28 ),
inference(sat_conversion,[],[f312]) ).
cnf(s76,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_25
| ~ spl0_27 ),
inference(sat_conversion,[],[f576]) ).
cnf(s77,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| spl0_27 ),
inference(sat_conversion,[],[f577]) ).
cnf(s82,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27
| spl0_28 ),
inference(sat_conversion,[],[f618]) ).
cnf(s83,plain,
( ~ spl0_20
| ~ spl0_21
| spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f624]) ).
cnf(s84,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f641]) ).
cnf(s85,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_27 ),
inference(sat_conversion,[],[f651]) ).
cnf(s86,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_17
| ~ spl0_27 ),
inference(sat_conversion,[],[f653]) ).
cnf(s87,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_17
| ~ spl0_20
| ~ spl0_21
| ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f675]) ).
cnf(s88,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_17
| ~ spl0_23
| ~ spl0_27 ),
inference(sat_conversion,[],[f686]) ).
cnf(s104,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_27
| ~ spl0_35
| ~ spl0_36 ),
inference(sat_conversion,[],[f768]) ).
cnf(s111,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_36 ),
inference(sat_conversion,[],[f779]) ).
cnf(s116,plain,
( ~ spl0_12
| ~ spl0_27
| spl0_35 ),
inference(sat_conversion,[],[f796]) ).
cnf(s120,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_27
| ~ spl0_35 ),
inference(sat_conversion,[],[f802]) ).
cnf(s124,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_25 ),
inference(sat_conversion,[],[f805]) ).
cnf(s130,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f842]) ).
cnf(s131,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8 ),
inference(sat_conversion,[],[f852]) ).
cnf(s136,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f892]) ).
cnf(s142,plain,
( ~ spl0_13
| ~ spl0_35
| spl0_36 ),
inference(sat_conversion,[],[f929]) ).
cnf(s145,plain,
( ~ spl0_25
| spl0_27
| ~ spl0_36 ),
inference(sat_conversion,[],[f940]) ).
cnf(s147,plain,
( spl0_27
| ~ spl0_17
| ~ spl0_7 ),
inference(rat,[],[s145,s124,s111,s28,s29,s31,s32,s77]) ).
cnf(s148,plain,
( ~ spl0_17
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s147,s86]) ).
cnf(s149,plain,
( spl0_17
| ~ spl0_5 ),
inference(rat,[],[s145,s124,s85,s111,s18,s19,s21,s22]) ).
cnf(s150,plain,
( ~ spl0_17
| ~ spl0_5 ),
inference(rat,[],[s145,s124,s85,s111,s8,s9,s11,s12,s148]) ).
cnf(s151,plain,
~ spl0_5,
inference(rat,[],[s150,s149]) ).
cnf(s152,plain,
( ~ spl0_13
| ~ spl0_35
| ~ spl0_27
| ~ spl0_4 ),
inference(rat,[],[s104,s142]) ).
cnf(s153,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_4
| ~ spl0_7
| ~ spl0_27
| ~ spl0_17 ),
inference(rat,[],[s83,s87]) ).
cnf(s154,plain,
( spl0_13
| ~ spl0_17
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s153,s49,s59,s147]) ).
cnf(s155,plain,
( ~ spl0_17
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s153,s48,s58,s116,s152,s154,s147]) ).
cnf(s156,plain,
( spl0_17
| ~ spl0_4 ),
inference(rat,[],[s130,s20,s21,s22]) ).
cnf(s157,plain,
( ~ spl0_17
| ~ spl0_4 ),
inference(rat,[],[s130,s10,s11,s12,s155]) ).
cnf(s158,plain,
~ spl0_4,
inference(rat,[],[s157,s156]) ).
cnf(s159,plain,
( spl0_13
| spl0_23
| ~ spl0_27 ),
inference(rat,[],[s83,s49,s59]) ).
cnf(s160,plain,
( ~ spl0_27
| ~ spl0_17
| ~ spl0_3
| ~ spl0_7 ),
inference(rat,[],[s83,s48,s58,s136,s159,s84]) ).
cnf(s161,plain,
( ~ spl0_17
| ~ spl0_7
| ~ spl0_3 ),
inference(rat,[],[s160,s147]) ).
cnf(s162,plain,
( spl0_17
| ~ spl0_3 ),
inference(rat,[],[s136,s18,s19]) ).
cnf(s163,plain,
( ~ spl0_17
| ~ spl0_3 ),
inference(rat,[],[s136,s8,s9,s161]) ).
cnf(s164,plain,
~ spl0_3,
inference(rat,[],[s163,s162]) ).
cnf(s165,plain,
( spl0_21
| ~ spl0_2 ),
inference(rat,[],[s67,s55,s56,s57]) ).
cnf(s166,plain,
( spl0_20
| ~ spl0_2 ),
inference(rat,[],[s67,s45,s46,s47]) ).
cnf(s167,plain,
( ~ spl0_17
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s82,s68,s83,s76,s147,s165,s166]) ).
cnf(s168,plain,
( spl0_17
| ~ spl0_2 ),
inference(rat,[],[s67,s15,s16,s17]) ).
cnf(s169,plain,
( ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s67,s5,s6,s7,s167]) ).
cnf(s170,plain,
~ spl0_2,
inference(rat,[],[s169,s168]) ).
cnf(s171,plain,
spl0_1,
inference(rat,[],[s2,s151,s158,s164,s170]) ).
cnf(s172,plain,
( spl0_23
| ~ spl0_27 ),
inference(rat,[],[s83,s48,s58,s116,s120,s159,s171]) ).
cnf(s173,plain,
( ~ spl0_27
| ~ spl0_17
| ~ spl0_7 ),
inference(rat,[],[s172,s88,s171]) ).
cnf(s174,plain,
( ~ spl0_17
| ~ spl0_7 ),
inference(rat,[],[s173,s147]) ).
cnf(s175,plain,
spl0_17,
inference(rat,[],[s131,s13,s14,s171]) ).
cnf(s176,plain,
~ spl0_7,
inference(rat,[],[s174,s175]) ).
cnf(s185,plain,
spl0_8,
inference(rat,[],[s4,s176]) ).
cnf(s186,plain,
spl0_6,
inference(rat,[],[s3,s176]) ).
cnf(s189,plain,
$false,
inference(rat,[],[s131,s171,s185,s186]) ).
fof(f941,plain,
$false,
inference(avatar_sat_refutation,[],[s189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP208-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n019.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 27 09:37:49 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.51 Running first-order theorem proving
% 0.22/0.51 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.94/1.76 % (2837377)Input is clausal, will run a generic CNF schedule.
% 2.94/1.76 % (2837383)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3049846527:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.94/1.76 % (2837382)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=4091789948:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.94/1.76 % (2837384)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3153807653:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.94/1.76 % (2837385)lrs+10_1_sil=8000:sp=occurrence:random_seed=3166843743:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.94/1.76 % (2837386)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4072012298:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.94/1.76 % (2837387)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3762771778:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.94/1.76 % (2837388)dis-21_1_sil=8000:lcm=predicate:random_seed=3190601992: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)
% 2.94/1.76 % (2837388)Refutation not found, incomplete strategy
% 2.94/1.76 % (2837388)------------------------------
% 2.94/1.76 % (2837388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.76 % (2837388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.76 % (2837388)CaDiCaL version: 2.1.3
% 2.94/1.76 % (2837388)Termination reason: Refutation not found, incomplete strategy
% 2.94/1.76 % (2837388)Time elapsed: 0.004 s
% 2.94/1.76 % (2837388)Peak memory usage: 88 MB
% 2.94/1.76 % (2837388)Instructions burned: 3 (million)
% 2.94/1.76 % (2837387)First to succeed.
% 2.94/1.76 % (2837387)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2837377"
% 2.94/1.76 % (2837385)Instruction limit reached!
% 2.94/1.76 % (2837385)------------------------------
% 2.94/1.76 % (2837385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.76 % (2837385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.76 % (2837385)CaDiCaL version: 2.1.3
% 2.94/1.76 % (2837385)Termination reason: Instruction limit
% 2.94/1.76 % (2837385)Termination phase: Saturation
% 2.94/1.76 % (2837385)Time elapsed: 0.097 s
% 2.94/1.76 % (2837385)Peak memory usage: 89 MB
% 2.94/1.76 % (2837385)Instructions burned: 107 (million)
% 2.94/1.76 % (2837386)Instruction limit reached!
% 2.94/1.76 % (2837386)------------------------------
% 2.94/1.76 % (2837386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.94/1.76 % (2837386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.94/1.76 % (2837386)CaDiCaL version: 2.1.3
% 2.94/1.76 % (2837386)Termination reason: Instruction limit
% 2.94/1.76 % (2837386)Termination phase: Saturation
% 2.94/1.76 % (2837386)Time elapsed: 0.106 s
% 2.94/1.76 % (2837386)Peak memory usage: 89 MB
% 2.94/1.76 % (2837386)Instructions burned: 114 (million)
% 2.94/1.76 % (2837388)------------------------------
% 2.94/1.76 % (2837388)------------------------------
% 2.94/1.76 % (2837397)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1830746769:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 2.94/1.76 % (2837396)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=1053748386:i=143:sd=2:aac=none:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/143Mi)
% 2.94/1.76 % (2837387)Refutation found. Thanks to Tanya!
% 2.94/1.76 % SZS status Unsatisfiable for theBenchmark
% 2.94/1.76 % SZS output start Proof for theBenchmark
% See solution above
% 6.13/2.03 % (2837387)------------------------------
% 6.13/2.03 % (2837387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/2.03 % (2837387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/2.03 % (2837387)CaDiCaL version: 2.1.3
% 6.13/2.03 % (2837387)Termination reason: Refutation
% 6.13/2.03 % (2837387)Time elapsed: 0.037 s
% 6.13/2.03 % (2837387)Peak memory usage: 90 MB
% 6.13/2.03 % (2837387)Instructions burned: 34 (million)
% 6.13/2.03 % (2837387)------------------------------
% 6.13/2.03 % (2837387)------------------------------
% 6.13/2.03 % (2837377)Success in time 0.769 s
% 6.13/2.03 % Vampire exiting
%------------------------------------------------------------------------------