%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP220-1 : 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 : n014.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 10:13:22 AM UTC 2026
% Result : Unsatisfiable 2.63s 1.28s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 54
% Syntax : Number of formulae : 334 ( 27 unt; 18 def)
% Number of atoms : 1177 ( 412 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 1611 ( 768 ~; 825 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 19 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 101 ( 0 sgn 101 !; 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(f6,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( inverse(sk_c1) = sk_c12
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( inverse(sk_c1) = sk_c12
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c1) = sk_c12
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( inverse(sk_c1) = sk_c12
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c1) = sk_c12
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( inverse(sk_c1) = sk_c12
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f12]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c6,sk_c11) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = multiply(sk_c6,sk_c11) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c12
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f39,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f40,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| inverse(sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f42,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f41]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c11
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f57,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f58,plain,
( sk_c3 = inverse(sk_c2)
| inverse(sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f60,plain,
( sk_c3 = inverse(sk_c2)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f63,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c3 = inverse(sk_c2)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c3 = inverse(sk_c2)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f65]) ).
fof(f75,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f76,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| inverse(sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f78,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f77]) ).
fof(f81,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f82,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c3,sk_c12) = sk_c11
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f83]) ).
fof(f93,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| inverse(sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f96,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f95]) ).
fof(f99,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f100,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( multiply(sk_c12,sk_c5) = sk_c11
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f102,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f101]) ).
fof(f111,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).
fof(f112,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| inverse(sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f111]) ).
fof(f113,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_56) ).
fof(f114,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f113]) ).
fof(f117,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_58) ).
fof(f118,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f117]) ).
fof(f119,negated_conjecture,
( multiply(sk_c4,sk_c12) = sk_c5
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_59) ).
fof(f120,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f119]) ).
fof(f129,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c12) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_64) ).
fof(f130,plain,
( sk_c12 = inverse(sk_c4)
| inverse(sk_c12) = sk_c11 ),
inference(reorient_equations,[],[f129]) ).
fof(f131,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c6) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_65) ).
fof(f132,plain,
( sk_c12 = inverse(sk_c4)
| sk_c12 = inverse(sk_c6) ),
inference(reorient_equations,[],[f131]) ).
fof(f135,negated_conjecture,
( inverse(sk_c4) = sk_c12
| multiply(sk_c7,sk_c10) = sk_c12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_67) ).
fof(f136,plain,
( sk_c12 = inverse(sk_c4)
| sk_c12 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f135]) ).
fof(f137,negated_conjecture,
( inverse(sk_c4) = sk_c12
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_68) ).
fof(f138,plain,
( sk_c12 = inverse(sk_c4)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f137]) ).
fof(f147,negated_conjecture,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( inverse(X0) != sk_c12
| multiply(X0,sk_c11) != sk_c12
| multiply(X1,X2) != sk_c11
| inverse(X1) != X2
| multiply(X2,sk_c12) != sk_c11
| multiply(sk_c12,X3) != sk_c11
| multiply(X4,sk_c12) != X3
| inverse(X4) != sk_c12
| inverse(sk_c12) != sk_c11
| inverse(X5) != sk_c12
| multiply(X5,sk_c11) != sk_c12
| multiply(X6,X7) != sk_c12
| inverse(X6) != X7
| multiply(X7,sk_c11) != sk_c12
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_73) ).
fof(f148,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| multiply(X1,X2) != sk_c11
| inverse(X1) != X2
| sk_c11 != multiply(X2,sk_c12)
| sk_c11 != multiply(sk_c12,X3)
| multiply(X4,sk_c12) != X3
| sk_c12 != inverse(X4)
| inverse(sk_c12) != sk_c11
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c12 != multiply(X7,sk_c11)
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
inference(reorient_equations,[],[f147]) ).
fof(f149,plain,
! [X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12)
| sk_c11 != multiply(sk_c12,X3)
| multiply(X4,sk_c12) != X3
| sk_c12 != inverse(X4)
| inverse(sk_c12) != sk_c11
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c12 != multiply(X7,sk_c11)
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
inference(equality_resolution,[],[f148]) ).
fof(f150,plain,
! [X0,X1,X8,X6,X9,X7,X4,X5] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12)
| sk_c11 != multiply(sk_c12,multiply(X4,sk_c12))
| sk_c12 != inverse(X4)
| inverse(sk_c12) != sk_c11
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != multiply(X6,X7)
| inverse(X6) != X7
| sk_c12 != multiply(X7,sk_c11)
| inverse(X8) != X9
| inverse(X9) != X7
| multiply(X8,X7) != X9 ),
inference(equality_resolution,[],[f149]) ).
fof(f151,plain,
! [X0,X1,X8,X6,X9,X4,X5] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12)
| sk_c11 != multiply(sk_c12,multiply(X4,sk_c12))
| sk_c12 != inverse(X4)
| inverse(sk_c12) != sk_c11
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != multiply(X6,inverse(X6))
| sk_c12 != multiply(inverse(X6),sk_c11)
| inverse(X8) != X9
| inverse(X6) != inverse(X9)
| multiply(X8,inverse(X6)) != X9 ),
inference(equality_resolution,[],[f150]) ).
fof(f152,plain,
! [X0,X1,X8,X6,X4,X5] :
( inverse(X0) != sk_c12
| sk_c12 != multiply(X0,sk_c11)
| sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12)
| sk_c11 != multiply(sk_c12,multiply(X4,sk_c12))
| sk_c12 != inverse(X4)
| inverse(sk_c12) != sk_c11
| sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11)
| sk_c12 != multiply(X6,inverse(X6))
| sk_c12 != multiply(inverse(X6),sk_c11)
| inverse(X6) != inverse(inverse(X8))
| inverse(X8) != multiply(X8,inverse(X6)) ),
inference(equality_resolution,[],[f151]) ).
fof(f154,definition,
( spl0_1
<=> ! [X6,X8] :
( sk_c12 != multiply(X6,inverse(X6))
| inverse(X8) != multiply(X8,inverse(X6))
| inverse(X6) != inverse(inverse(X8))
| sk_c12 != multiply(inverse(X6),sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f155,plain,
( ! [X8,X6] :
( sk_c12 != multiply(X6,inverse(X6))
| inverse(X8) != multiply(X8,inverse(X6))
| inverse(X6) != inverse(inverse(X8))
| sk_c12 != multiply(inverse(X6),sk_c11) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,definition,
( spl0_2
<=> ! [X5] :
( sk_c12 != inverse(X5)
| sk_c12 != multiply(X5,sk_c11) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f158,plain,
( ! [X5] :
( sk_c12 != multiply(X5,sk_c11)
| sk_c12 != inverse(X5) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,definition,
( spl0_3
<=> inverse(sk_c12) = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f161,plain,
( inverse(sk_c12) = sk_c11
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f162,plain,
( inverse(sk_c12) != sk_c11
| spl0_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f164,definition,
( spl0_4
<=> ! [X4] :
( sk_c11 != multiply(sk_c12,multiply(X4,sk_c12))
| sk_c12 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f165,plain,
( ! [X4] :
( sk_c12 != inverse(X4)
| sk_c11 != multiply(sk_c12,multiply(X4,sk_c12)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f167,definition,
( spl0_5
<=> ! [X1] :
( sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f168,plain,
( ! [X1] :
( sk_c11 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f169,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_2 ),
inference(avatar_split_clause,[],[f152,f157,f167,f164,f160,f157,f154]) ).
fof(f175,definition,
( spl0_7
<=> sk_c12 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f177,plain,
( sk_c12 = inverse(sk_c4)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f195,definition,
( spl0_11
<=> sk_c10 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f197,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f198,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f138,f175,f195]) ).
fof(f200,definition,
( spl0_12
<=> sk_c12 = multiply(sk_c7,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f202,plain,
( sk_c12 = multiply(sk_c7,sk_c10)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f136,f175,f200]) ).
fof(f205,definition,
( spl0_13
<=> sk_c12 = multiply(sk_c6,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f207,plain,
( sk_c12 = multiply(sk_c6,sk_c11)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f210,definition,
( spl0_14
<=> sk_c12 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f212,plain,
( sk_c12 = inverse(sk_c6)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f213,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f132,f175,f210]) ).
fof(f214,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f130,f175,f160]) ).
fof(f216,definition,
( spl0_15
<=> sk_c5 = multiply(sk_c4,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f218,plain,
( sk_c5 = multiply(sk_c4,sk_c12)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f223,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f120,f216,f195]) ).
fof(f224,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f118,f216,f200]) ).
fof(f226,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f114,f216,f210]) ).
fof(f227,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f112,f216,f160]) ).
fof(f229,definition,
( spl0_16
<=> sk_c11 = multiply(sk_c12,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f231,plain,
( sk_c11 = multiply(sk_c12,sk_c5)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f236,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f102,f229,f195]) ).
fof(f237,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f100,f229,f200]) ).
fof(f239,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f96,f229,f210]) ).
fof(f240,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f94,f229,f160]) ).
fof(f242,definition,
( spl0_17
<=> sk_c11 = multiply(sk_c3,sk_c12) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f244,plain,
( sk_c11 = multiply(sk_c3,sk_c12)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f249,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f84,f242,f195]) ).
fof(f250,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f82,f242,f200]) ).
fof(f252,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f78,f242,f210]) ).
fof(f253,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f76,f242,f160]) ).
fof(f255,definition,
( spl0_18
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f257,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f262,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f66,f255,f195]) ).
fof(f263,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f64,f255,f200]) ).
fof(f265,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f60,f255,f210]) ).
fof(f266,plain,
( spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f58,f255,f160]) ).
fof(f268,definition,
( spl0_19
<=> sk_c11 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f270,plain,
( sk_c11 = multiply(sk_c2,sk_c3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f275,plain,
( spl0_11
| spl0_19 ),
inference(avatar_split_clause,[],[f48,f268,f195]) ).
fof(f276,plain,
( spl0_12
| spl0_19 ),
inference(avatar_split_clause,[],[f46,f268,f200]) ).
fof(f278,plain,
( spl0_14
| spl0_19 ),
inference(avatar_split_clause,[],[f42,f268,f210]) ).
fof(f279,plain,
( spl0_3
| spl0_19 ),
inference(avatar_split_clause,[],[f40,f268,f160]) ).
fof(f281,definition,
( spl0_20
<=> sk_c12 = multiply(sk_c1,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f283,plain,
( sk_c12 = multiply(sk_c1,sk_c11)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f288,plain,
( spl0_11
| spl0_20 ),
inference(avatar_split_clause,[],[f30,f281,f195]) ).
fof(f289,plain,
( spl0_12
| spl0_20 ),
inference(avatar_split_clause,[],[f28,f281,f200]) ).
fof(f290,plain,
( spl0_13
| spl0_20 ),
inference(avatar_split_clause,[],[f26,f281,f205]) ).
fof(f291,plain,
( spl0_14
| spl0_20 ),
inference(avatar_split_clause,[],[f24,f281,f210]) ).
fof(f294,definition,
( spl0_21
<=> inverse(sk_c1) = sk_c12 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f296,plain,
( inverse(sk_c1) = sk_c12
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f301,plain,
( spl0_11
| spl0_21 ),
inference(avatar_split_clause,[],[f13,f294,f195]) ).
fof(f302,plain,
( spl0_12
| spl0_21 ),
inference(avatar_split_clause,[],[f11,f294,f200]) ).
fof(f303,plain,
( spl0_13
| spl0_21 ),
inference(avatar_split_clause,[],[f9,f294,f205]) ).
fof(f304,plain,
( spl0_14
| spl0_21 ),
inference(avatar_split_clause,[],[f7,f294,f210]) ).
fof(f306,plain,
( sk_c12 != sk_c12
| sk_c12 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f158,f207]) ).
fof(f309,plain,
( sk_c12 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f306]) ).
fof(f310,plain,
( $false
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f309,f212]) ).
fof(f311,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f312,plain,
( sk_c12 != sk_c12
| inverse(sk_c1) != sk_c12
| ~ spl0_2
| ~ spl0_20 ),
inference(superposition,[],[f158,f283]) ).
fof(f313,plain,
( inverse(sk_c1) != sk_c12
| ~ spl0_2
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f312]) ).
fof(f314,plain,
( $false
| ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f313,f296]) ).
fof(f315,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f316,plain,
( identity = multiply(sk_c12,sk_c1)
| ~ spl0_21 ),
inference(superposition,[],[f3,f296]) ).
fof(f318,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_11 ),
inference(superposition,[],[f3,f197]) ).
fof(f321,plain,
( identity = multiply(sk_c3,sk_c2)
| ~ spl0_18 ),
inference(superposition,[],[f3,f257]) ).
fof(f325,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f334,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f325,f1]) ).
fof(f337,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c1,X0))
| ~ spl0_21 ),
inference(superposition,[],[f4,f316]) ).
fof(f338,plain,
( ! [X0] : multiply(sk_c12,multiply(sk_c1,X0)) = X0
| ~ spl0_21 ),
inference(forward_demodulation,[],[f337,f1]) ).
fof(f341,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f318]) ).
fof(f342,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f341,f1]) ).
fof(f354,plain,
( sk_c11 = multiply(sk_c12,sk_c12)
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f338,f283]) ).
fof(f374,plain,
( sk_c10 = multiply(sk_c10,sk_c12)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f342,f202]) ).
fof(f452,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f334,f3]) ).
fof(f453,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f334,f334]) ).
fof(f459,plain,
( sk_c1 = multiply(inverse(sk_c12),identity)
| ~ spl0_21 ),
inference(superposition,[],[f334,f316]) ).
fof(f468,plain,
( sk_c12 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f334,f374]) ).
fof(f476,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c11)
| ~ spl0_19 ),
inference(superposition,[],[f334,f270]) ).
fof(f480,plain,
( sk_c12 = multiply(inverse(sk_c3),sk_c11)
| ~ spl0_17 ),
inference(superposition,[],[f334,f244]) ).
fof(f481,plain,
( sk_c2 = multiply(inverse(sk_c3),identity)
| ~ spl0_18 ),
inference(superposition,[],[f334,f321]) ).
fof(f483,plain,
( sk_c12 = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_15 ),
inference(superposition,[],[f334,f218]) ).
fof(f488,plain,
( sk_c12 = multiply(sk_c12,sk_c5)
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f483,f177]) ).
fof(f498,plain,
( identity = sk_c12
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f468,f3]) ).
fof(f642,plain,
( sk_c3 = multiply(sk_c3,sk_c11)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f476,f257]) ).
fof(f643,plain,
( sk_c12 = sk_c11
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f488,f231]) ).
fof(f646,plain,
( sk_c5 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f334,f488]) ).
fof(f648,plain,
( identity = sk_c5
| ~ spl0_7
| ~ spl0_15 ),
inference(forward_demodulation,[],[f646,f3]) ).
fof(f674,plain,
( sk_c3 = multiply(sk_c3,sk_c12)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f642,f643]) ).
fof(f675,plain,
( sk_c11 = sk_c3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f674,f244]) ).
fof(f676,plain,
( sk_c12 = sk_c3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f675,f643]) ).
fof(f721,plain,
( sk_c12 = multiply(inverse(sk_c3),sk_c12)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f480,f643]) ).
fof(f722,plain,
( sk_c12 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f721,f676]) ).
fof(f723,plain,
( identity = sk_c12
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f722,f3]) ).
fof(f724,plain,
( sk_c12 = sk_c5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f723,f648]) ).
fof(f726,plain,
( sk_c1 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f459,f723]) ).
fof(f729,plain,
( identity = sk_c1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f726,f3]) ).
fof(f730,plain,
( sk_c1 = sk_c12
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_demodulation,[],[f729,f723]) ).
fof(f731,plain,
( sk_c2 = multiply(inverse(sk_c3),sk_c5)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f481,f648]) ).
fof(f732,plain,
( sk_c2 = multiply(inverse(sk_c12),sk_c5)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f731,f676]) ).
fof(f769,plain,
( sk_c2 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f732,f724]) ).
fof(f770,plain,
( identity = sk_c2
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f769,f3]) ).
fof(f771,plain,
( sk_c12 = sk_c2
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f770,f723]) ).
fof(f776,plain,
( inverse(sk_c12) = sk_c3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f257,f771]) ).
fof(f777,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f776,f676]) ).
fof(f836,plain,
( sk_c12 != sk_c11
| spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f162,f777]) ).
fof(f840,plain,
( $false
| spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f836,f643]) ).
fof(f841,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f851,plain,
( ! [X1] :
( sk_c12 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f168,f643]) ).
fof(f852,plain,
( ! [X1] :
( sk_c12 != multiply(inverse(X1),sk_c12)
| sk_c12 != multiply(X1,inverse(X1)) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f851,f643]) ).
fof(f859,plain,
( sk_c12 != multiply(sk_c3,sk_c12)
| sk_c12 != multiply(sk_c2,sk_c3)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f852,f257]) ).
fof(f867,plain,
( sk_c12 != sk_c11
| sk_c12 != multiply(sk_c2,sk_c3)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f859,f244]) ).
fof(f883,plain,
( sk_c12 != multiply(sk_c2,sk_c3)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f867,f643]) ).
fof(f891,plain,
( sk_c12 != sk_c11
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f883,f270]) ).
fof(f896,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f891,f643]) ).
fof(f897,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f896]) ).
fof(f902,plain,
( ! [X8,X6] :
( sk_c12 != multiply(inverse(X6),sk_c12)
| sk_c12 != multiply(X6,inverse(X6))
| inverse(X8) != multiply(X8,inverse(X6))
| inverse(X6) != inverse(inverse(X8)) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f155,f643]) ).
fof(f1026,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c12,sk_c12)
| sk_c12 != multiply(sk_c4,sk_c12)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f902,f177]) ).
fof(f1030,plain,
( ! [X0] :
( sk_c12 != sk_c11
| sk_c12 != multiply(sk_c4,sk_c12)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1026,f354]) ).
fof(f1045,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c4,sk_c12)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1030,f643]) ).
fof(f1052,plain,
( ! [X0] :
( sk_c12 != sk_c5
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1045,f218]) ).
fof(f1057,plain,
( ! [X0] :
( sk_c12 != inverse(inverse(X0))
| inverse(X0) != multiply(X0,sk_c12) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1052,f724]) ).
fof(f1079,plain,
( sk_c12 != inverse(sk_c12)
| sk_c12 != multiply(sk_c1,sk_c12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(superposition,[],[f1057,f296]) ).
fof(f1102,plain,
( sk_c12 != multiply(sk_c1,sk_c12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1079,f777]) ).
fof(f1106,plain,
( sk_c12 != multiply(sk_c12,sk_c12)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1102,f730]) ).
fof(f1112,plain,
( sk_c12 != sk_c11
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_demodulation,[],[f1106,f354]) ).
fof(f1115,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1112,f643]) ).
fof(f1116,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1115]) ).
fof(f1117,plain,
( ! [X4] :
( sk_c12 != inverse(X4)
| sk_c12 != multiply(sk_c12,multiply(X4,sk_c12)) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f165,f643]) ).
fof(f1136,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c12,multiply(sk_c4,sk_c12))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f1117,f177]) ).
fof(f1137,plain,
( sk_c12 != multiply(sk_c12,multiply(sk_c4,sk_c12))
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f1136]) ).
fof(f1140,plain,
( sk_c12 != multiply(sk_c12,sk_c5)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1137,f218]) ).
fof(f1159,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1140,f488]) ).
fof(f1160,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1159]) ).
fof(f1268,plain,
( identity = multiply(sk_c12,sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f3,f212]) ).
fof(f2242,plain,
( sk_c12 = multiply(sk_c12,sk_c6)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1268,f498]) ).
fof(f2246,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f452,f453]) ).
fof(f2268,plain,
( ! [X0] : multiply(X0,sk_c12) = X0
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f2246,f498]) ).
fof(f2326,plain,
( sk_c12 != sk_c12
| sk_c11 != multiply(sk_c12,multiply(sk_c6,sk_c12))
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f165,f212]) ).
fof(f2331,plain,
( sk_c11 != multiply(sk_c12,multiply(sk_c6,sk_c12))
| ~ spl0_4
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f2326]) ).
fof(f2347,definition,
( spl0_48
<=> sk_c12 = sk_c11 ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f2348,plain,
( sk_c12 = sk_c11
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f2347]) ).
fof(f2362,plain,
( sk_c6 = multiply(inverse(sk_c12),sk_c12)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f334,f2242]) ).
fof(f2364,plain,
( identity = sk_c6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2362,f3]) ).
fof(f2367,plain,
( sk_c12 = sk_c6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2364,f498]) ).
fof(f2372,plain,
( sk_c12 = inverse(sk_c12)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f212,f2367]) ).
fof(f2376,plain,
( sk_c12 = sk_c11
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f161,f2372]) ).
fof(f2388,plain,
( spl0_48
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f2376,f210,f200,f195,f160,f2347]) ).
fof(f2524,plain,
( sk_c11 != multiply(sk_c12,sk_c6)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f2331,f2268]) ).
fof(f2545,plain,
( sk_c12 != sk_c11
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f2524,f2242]) ).
fof(f2555,plain,
( $false
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2545,f2348]) ).
fof(f2556,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2555]) ).
fof(f2559,plain,
( ! [X8,X6] :
( sk_c12 != multiply(inverse(X6),sk_c12)
| sk_c12 != multiply(X6,inverse(X6))
| inverse(X8) != multiply(X8,inverse(X6))
| inverse(X6) != inverse(inverse(X8)) )
| ~ spl0_1
| ~ spl0_48 ),
inference(forward_demodulation,[],[f155,f2348]) ).
fof(f2562,plain,
( ! [X8,X6] :
( sk_c12 != inverse(X6)
| sk_c12 != multiply(X6,inverse(X6))
| inverse(X8) != multiply(X8,inverse(X6))
| inverse(X6) != inverse(inverse(X8)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2559,f2268]) ).
fof(f2569,plain,
( ! [X0] :
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c6,sk_c12)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(superposition,[],[f2562,f212]) ).
fof(f2574,plain,
( ! [X0] :
( sk_c12 != multiply(sk_c6,sk_c12)
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2569]) ).
fof(f2577,plain,
( ! [X0] :
( sk_c12 != sk_c6
| inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2574,f2268]) ).
fof(f2581,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c12)
| sk_c12 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2577,f2367]) ).
fof(f2585,plain,
( ! [X0] :
( sk_c12 != inverse(inverse(X0))
| inverse(X0) != X0 )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2581,f2268]) ).
fof(f2592,plain,
( sk_c12 != inverse(sk_c12)
| sk_c12 != sk_c6
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(superposition,[],[f2585,f212]) ).
fof(f2618,plain,
( sk_c12 != sk_c6
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2592,f2372]) ).
fof(f2622,plain,
( $false
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2618,f2367]) ).
fof(f2623,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2622]) ).
fof(f2627,plain,
( ! [X1] :
( sk_c12 != multiply(X1,inverse(X1))
| sk_c11 != multiply(inverse(X1),sk_c12) )
| ~ spl0_5
| ~ spl0_48 ),
inference(forward_demodulation,[],[f168,f2348]) ).
fof(f2628,plain,
( ! [X1] :
( sk_c11 != inverse(X1)
| sk_c12 != multiply(X1,inverse(X1)) )
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2627,f2268]) ).
fof(f2629,plain,
( ! [X1] :
( sk_c12 != inverse(X1)
| sk_c12 != multiply(X1,inverse(X1)) )
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2628,f2348]) ).
fof(f2632,plain,
( sk_c12 != sk_c12
| sk_c12 != multiply(sk_c6,sk_c12)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(superposition,[],[f2629,f212]) ).
fof(f2637,plain,
( sk_c12 != multiply(sk_c6,sk_c12)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(trivial_inequality_removal,[],[f2632]) ).
fof(f2639,plain,
( sk_c12 != sk_c6
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_demodulation,[],[f2637,f2268]) ).
fof(f2643,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f2639,f2367]) ).
fof(f2644,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(avatar_contradiction_clause,[],[f2643]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f169]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f198]) ).
cnf(s8,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f203]) ).
cnf(s10,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f213]) ).
cnf(s11,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f214]) ).
cnf(s16,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f223]) ).
cnf(s17,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f224]) ).
cnf(s19,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f226]) ).
cnf(s20,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f227]) ).
cnf(s25,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f236]) ).
cnf(s26,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f237]) ).
cnf(s28,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f239]) ).
cnf(s29,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f240]) ).
cnf(s34,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f249]) ).
cnf(s35,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f250]) ).
cnf(s37,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f252]) ).
cnf(s38,plain,
( spl0_3
| spl0_17 ),
inference(sat_conversion,[],[f253]) ).
cnf(s43,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f262]) ).
cnf(s44,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f263]) ).
cnf(s46,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f265]) ).
cnf(s47,plain,
( spl0_3
| spl0_18 ),
inference(sat_conversion,[],[f266]) ).
cnf(s52,plain,
( spl0_11
| spl0_19 ),
inference(sat_conversion,[],[f275]) ).
cnf(s53,plain,
( spl0_12
| spl0_19 ),
inference(sat_conversion,[],[f276]) ).
cnf(s55,plain,
( spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f278]) ).
cnf(s56,plain,
( spl0_3
| spl0_19 ),
inference(sat_conversion,[],[f279]) ).
cnf(s61,plain,
( spl0_11
| spl0_20 ),
inference(sat_conversion,[],[f288]) ).
cnf(s62,plain,
( spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f289]) ).
cnf(s63,plain,
( spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f290]) ).
cnf(s64,plain,
( spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f291]) ).
cnf(s70,plain,
( spl0_11
| spl0_21 ),
inference(sat_conversion,[],[f301]) ).
cnf(s71,plain,
( spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f302]) ).
cnf(s72,plain,
( spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f303]) ).
cnf(s73,plain,
( spl0_14
| spl0_21 ),
inference(sat_conversion,[],[f304]) ).
cnf(s75,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f311]) ).
cnf(s76,plain,
( ~ spl0_2
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f315]) ).
cnf(s80,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f841]) ).
cnf(s88,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f897]) ).
cnf(s102,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f1116]) ).
cnf(s106,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f1160]) ).
cnf(s242,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| spl0_48 ),
inference(sat_conversion,[],[f2388]) ).
cnf(s268,plain,
( ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(sat_conversion,[],[f2556]) ).
cnf(s275,plain,
( ~ spl0_1
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(sat_conversion,[],[f2623]) ).
cnf(s278,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14
| ~ spl0_48 ),
inference(sat_conversion,[],[f2644]) ).
cnf(s280,plain,
spl0_3,
inference(rat,[],[s80,s11,s20,s29,s38,s47,s56]) ).
cnf(s282,plain,
( ~ spl0_12
| ~ spl0_14
| ~ spl0_5
| ~ spl0_11 ),
inference(rat,[],[s242,s278,s280]) ).
cnf(s283,plain,
( spl0_19
| ~ spl0_5 ),
inference(rat,[],[s282,s52,s53,s55]) ).
cnf(s284,plain,
( spl0_18
| ~ spl0_5 ),
inference(rat,[],[s282,s43,s44,s46]) ).
cnf(s285,plain,
( spl0_17
| ~ spl0_5 ),
inference(rat,[],[s282,s34,s35,s37]) ).
cnf(s286,plain,
( spl0_16
| ~ spl0_5 ),
inference(rat,[],[s282,s25,s26,s28]) ).
cnf(s287,plain,
( spl0_15
| ~ spl0_5 ),
inference(rat,[],[s282,s16,s17,s19]) ).
cnf(s288,plain,
( ~ spl0_15
| ~ spl0_19
| ~ spl0_18
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17 ),
inference(rat,[],[s282,s7,s8,s10,s88]) ).
cnf(s289,plain,
~ spl0_5,
inference(rat,[],[s288,s287,s286,s285,s284,s283]) ).
cnf(s290,plain,
( ~ spl0_14
| ~ spl0_12
| ~ spl0_4
| ~ spl0_11 ),
inference(rat,[],[s242,s268,s280]) ).
cnf(s291,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s106,s10,s19,s28]) ).
cnf(s292,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s106,s8,s17,s26]) ).
cnf(s293,plain,
( ~ spl0_12
| ~ spl0_14
| ~ spl0_4 ),
inference(rat,[],[s106,s7,s16,s25,s290]) ).
cnf(s294,plain,
~ spl0_4,
inference(rat,[],[s293,s292,s291]) ).
cnf(s296,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s76,s64,s73]) ).
cnf(s297,plain,
( ~ spl0_14
| ~ spl0_2 ),
inference(rat,[],[s76,s63,s72,s75]) ).
cnf(s298,plain,
~ spl0_2,
inference(rat,[],[s297,s296]) ).
cnf(s299,plain,
spl0_1,
inference(rat,[],[s2,s289,s280,s294,s298]) ).
cnf(s300,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_14 ),
inference(rat,[],[s242,s275,s299,s280]) ).
cnf(s301,plain,
spl0_12,
inference(rat,[],[s102,s8,s17,s26,s35,s44,s53,s62,s71,s299]) ).
cnf(s302,plain,
spl0_11,
inference(rat,[],[s102,s7,s16,s25,s34,s43,s52,s61,s70,s299]) ).
cnf(s304,plain,
~ spl0_14,
inference(rat,[],[s300,s301,s302]) ).
cnf(s305,plain,
spl0_21,
inference(rat,[],[s73,s304]) ).
cnf(s306,plain,
spl0_20,
inference(rat,[],[s64,s304]) ).
cnf(s307,plain,
spl0_19,
inference(rat,[],[s55,s304]) ).
cnf(s308,plain,
spl0_18,
inference(rat,[],[s46,s304]) ).
cnf(s309,plain,
spl0_17,
inference(rat,[],[s37,s304]) ).
cnf(s310,plain,
spl0_16,
inference(rat,[],[s28,s304]) ).
cnf(s311,plain,
spl0_15,
inference(rat,[],[s19,s304]) ).
cnf(s312,plain,
spl0_7,
inference(rat,[],[s10,s304]) ).
cnf(s315,plain,
$false,
inference(rat,[],[s102,s305,s306,s307,s308,s309,s299,s310,s311,s312]) ).
fof(f2648,plain,
$false,
inference(avatar_sat_refutation,[],[s315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP220-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 09:37:32 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 2.63/1.28 % (551718)Input is clausal, will run a generic CNF schedule.
% 2.63/1.28 % (551839)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=2713629819:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.63/1.28 % (551842)lrs+10_1_sil=8000:sp=occurrence:random_seed=1580729797:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.63/1.28 % (551844)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2683434425:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.63/1.28 % (551841)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3119106550:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.63/1.28 % (551840)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2699977197:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.63/1.28 % (551843)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1976309860:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.63/1.28 % (551845)dis-21_1_sil=8000:lcm=predicate:random_seed=3768122658: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)
% 2.63/1.28 % (551845)Refutation not found, incomplete strategy
% 2.63/1.28 % (551845)------------------------------
% 2.63/1.28 % (551845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (551845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (551845)CaDiCaL version: 2.1.3
% 2.63/1.28 % (551845)Termination reason: Refutation not found, incomplete strategy
% 2.63/1.28 % (551845)Time elapsed: 0.003 s
% 2.63/1.28 % (551845)Peak memory usage: 88 MB
% 2.63/1.28 % (551845)Instructions burned: 4 (million)
% 2.63/1.28 % (551844)First to succeed.
% 2.63/1.28 % (551844)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-551718"
% 2.63/1.28 % (551842)Instruction limit reached!
% 2.63/1.28 % (551842)------------------------------
% 2.63/1.28 % (551842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (551842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (551842)CaDiCaL version: 2.1.3
% 2.63/1.28 % (551842)Termination reason: Instruction limit
% 2.63/1.28 % (551842)Termination phase: Saturation
% 2.63/1.28 % (551842)Time elapsed: 0.053 s
% 2.63/1.28 % (551842)Peak memory usage: 89 MB
% 2.63/1.28 % (551842)Instructions burned: 108 (million)
% 2.63/1.28 % (551843)Instruction limit reached!
% 2.63/1.28 % (551843)------------------------------
% 2.63/1.28 % (551843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (551843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (551843)CaDiCaL version: 2.1.3
% 2.63/1.28 % (551843)Termination reason: Instruction limit
% 2.63/1.28 % (551843)Termination phase: Saturation
% 2.63/1.28 % (551843)Time elapsed: 0.064 s
% 2.63/1.28 % (551843)Peak memory usage: 89 MB
% 2.63/1.28 % (551843)Instructions burned: 115 (million)
% 2.63/1.28 % (551853)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=444558056:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.63/1.28 % (551854)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1559474900:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.63/1.28 % (551853)Instruction limit reached!
% 2.63/1.28 % (551853)------------------------------
% 2.63/1.28 % (551853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.28 % (551853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.28 % (551853)CaDiCaL version: 2.1.3
% 2.63/1.28 % (551853)Termination reason: Instruction limit
% 2.63/1.28 % (551853)Termination phase: Saturation
% 2.63/1.28 % (551853)Time elapsed: 0.070 s
% 2.63/1.28 % (551853)Peak memory usage: 89 MB
% 2.63/1.28 % (551853)Instructions burned: 144 (million)
% 2.63/1.28 % (551845)------------------------------
% 2.63/1.28 % (551845)------------------------------
% 2.63/1.28 % (551844)Refutation found. Thanks to Tanya!
% 2.63/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.63/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.38 % (551844)------------------------------
% 3.54/1.38 % (551844)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.38 % (551844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.38 % (551844)CaDiCaL version: 2.1.3
% 3.54/1.38 % (551844)Termination reason: Refutation
% 3.54/1.38 % (551844)Time elapsed: 0.046 s
% 3.54/1.38 % (551844)Peak memory usage: 90 MB
% 3.54/1.38 % (551844)Instructions burned: 77 (million)
% 3.54/1.38 % (551844)------------------------------
% 3.54/1.38 % (551844)------------------------------
% 3.54/1.38 % (551718)Success in time 0.43 s
% 3.54/1.38 % Vampire exiting
%------------------------------------------------------------------------------