%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP221-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 10:17:12 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 57
% Syntax : Number of formulae : 293 ( 17 unt; 20 def)
% Number of atoms : 825 ( 310 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 942 ( 410 ~; 512 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( inverse(sk_c1) = sk_c10
| sk_c10 = inverse(sk_c6) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( inverse(sk_c1) = sk_c10
| sk_c10 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f8]) ).
fof(f16,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c6) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f20]) ).
fof(f30,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c6) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c10 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f38]) ).
fof(f42,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c3 = inverse(sk_c2)
| sk_c10 = inverse(sk_c6) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c3 = inverse(sk_c2)
| sk_c10 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c3 = inverse(sk_c2)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c3 = inverse(sk_c2)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f50]) ).
fof(f54,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c10 = inverse(sk_c6) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c10 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c9 = multiply(sk_c10,sk_c5)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f64]) ).
fof(f70,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
( sk_c9 = multiply(sk_c10,sk_c5)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f70]) ).
fof(f72,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f73,plain,
( sk_c9 = multiply(sk_c10,sk_c5)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f72]) ).
fof(f74,negated_conjecture,
( multiply(sk_c10,sk_c5) = sk_c9
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f75,plain,
( sk_c9 = multiply(sk_c10,sk_c5)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f74]) ).
fof(f76,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f77,plain,
( sk_c5 = multiply(sk_c4,sk_c10)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f76]) ).
fof(f82,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f83,plain,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f82]) ).
fof(f84,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f85,plain,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f84]) ).
fof(f86,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c5
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f87,plain,
( sk_c5 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f86]) ).
fof(f88,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f89,plain,
( sk_c10 = inverse(sk_c4)
| inverse(sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f88]) ).
fof(f94,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f95,plain,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f94]) ).
fof(f96,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c7,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f97,plain,
( sk_c10 = inverse(sk_c4)
| sk_c8 = multiply(sk_c7,sk_c10) ),
inference(reorient_equations,[],[f96]) ).
fof(f98,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c7) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f99,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c7) ),
inference(reorient_equations,[],[f98]) ).
fof(f100,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(X0) != sk_c10
| multiply(X0,sk_c9) != sk_c10
| multiply(X1,X2) != sk_c9
| inverse(X1) != X2
| multiply(X2,sk_c10) != sk_c9
| multiply(sk_c10,X3) != sk_c9
| multiply(X4,sk_c10) != X3
| inverse(X4) != sk_c10
| inverse(sk_c10) != sk_c9
| inverse(X5) != sk_c10
| multiply(X5,sk_c9) != sk_c10
| multiply(sk_c10,X6) != sk_c9
| multiply(X7,sk_c10) != X6
| inverse(X7) != sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f101,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9)
| multiply(X1,X2) != sk_c9
| inverse(X1) != X2
| sk_c9 != multiply(X2,sk_c10)
| sk_c9 != multiply(sk_c10,X3)
| multiply(X4,sk_c10) != X3
| sk_c10 != inverse(X4)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c9)
| sk_c9 != multiply(sk_c10,X6)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X7) ),
inference(reorient_equations,[],[f100]) ).
fof(f102,plain,
! [X3,X0,X1,X6,X7,X4,X5] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9)
| sk_c9 != multiply(X1,inverse(X1))
| sk_c9 != multiply(inverse(X1),sk_c10)
| sk_c9 != multiply(sk_c10,X3)
| multiply(X4,sk_c10) != X3
| sk_c10 != inverse(X4)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c9)
| sk_c9 != multiply(sk_c10,X6)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X7) ),
inference(equality_resolution,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X6,X7,X4,X5] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9)
| sk_c9 != multiply(X1,inverse(X1))
| sk_c9 != multiply(inverse(X1),sk_c10)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c10 != inverse(X4)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c9)
| sk_c9 != multiply(sk_c10,X6)
| multiply(X7,sk_c10) != X6
| sk_c10 != inverse(X7) ),
inference(equality_resolution,[],[f102]) ).
fof(f104,plain,
! [X0,X1,X7,X4,X5] :
( inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9)
| sk_c9 != multiply(X1,inverse(X1))
| sk_c9 != multiply(inverse(X1),sk_c10)
| sk_c9 != multiply(sk_c10,multiply(X4,sk_c10))
| sk_c10 != inverse(X4)
| inverse(sk_c10) != sk_c9
| sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c9)
| sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) ),
inference(equality_resolution,[],[f103]) ).
fof(f106,definition,
( spl0_1
<=> ! [X7] :
( sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f107,plain,
( ! [X7] :
( sk_c9 != multiply(sk_c10,multiply(X7,sk_c10))
| sk_c10 != inverse(X7) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,definition,
( spl0_2
<=> ! [X5] :
( sk_c10 != inverse(X5)
| sk_c10 != multiply(X5,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f110,plain,
( ! [X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c10 != inverse(X5) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,definition,
( spl0_3
<=> inverse(sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f114,plain,
( inverse(sk_c10) != sk_c9
| spl0_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f116,definition,
( spl0_4
<=> ! [X1] :
( sk_c9 != multiply(X1,inverse(X1))
| sk_c9 != multiply(inverse(X1),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f117,plain,
( ! [X1] :
( sk_c9 != multiply(inverse(X1),sk_c10)
| sk_c9 != multiply(X1,inverse(X1)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_1
| spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f104,f109,f116,f106,f112,f109,f106]) ).
fof(f120,definition,
( spl0_5
<=> sk_c10 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f122,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f124,definition,
( spl0_6
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f126,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f99,f124,f120]) ).
fof(f129,definition,
( spl0_7
<=> sk_c8 = multiply(sk_c7,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f131,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f97,f124,f129]) ).
fof(f134,definition,
( spl0_8
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f135,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl0_8 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f136,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f95,f124,f134]) ).
fof(f139,definition,
( spl0_9
<=> sk_c10 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f140,plain,
( sk_c10 != multiply(sk_c6,sk_c9)
| spl0_9 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f141,plain,
( sk_c10 = multiply(sk_c6,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f144,definition,
( spl0_10
<=> sk_c10 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f146,plain,
( sk_c10 = inverse(sk_c6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f89,f124,f112]) ).
fof(f150,definition,
( spl0_11
<=> sk_c5 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f152,plain,
( sk_c5 = multiply(sk_c4,sk_c10)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f153,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f87,f150,f120]) ).
fof(f154,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f85,f150,f129]) ).
fof(f155,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f83,f150,f134]) ).
fof(f158,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f77,f150,f112]) ).
fof(f160,definition,
( spl0_12
<=> sk_c9 = multiply(sk_c10,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f162,plain,
( sk_c9 = multiply(sk_c10,sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f163,plain,
( spl0_5
| spl0_12 ),
inference(avatar_split_clause,[],[f75,f160,f120]) ).
fof(f164,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f73,f160,f129]) ).
fof(f165,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f71,f160,f134]) ).
fof(f168,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f65,f160,f112]) ).
fof(f170,definition,
( spl0_13
<=> sk_c9 = multiply(sk_c3,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f172,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f173,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f63,f170,f120]) ).
fof(f174,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f61,f170,f129]) ).
fof(f175,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f59,f170,f134]) ).
fof(f176,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f57,f170,f139]) ).
fof(f177,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f55,f170,f144]) ).
fof(f180,definition,
( spl0_14
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f182,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f183,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f51,f180,f120]) ).
fof(f184,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f49,f180,f129]) ).
fof(f185,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f47,f180,f134]) ).
fof(f186,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f45,f180,f139]) ).
fof(f187,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f43,f180,f144]) ).
fof(f190,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f192,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f193,plain,
( spl0_5
| spl0_15 ),
inference(avatar_split_clause,[],[f39,f190,f120]) ).
fof(f194,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f37,f190,f129]) ).
fof(f195,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f190,f134]) ).
fof(f196,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f33,f190,f139]) ).
fof(f197,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f31,f190,f144]) ).
fof(f200,definition,
( spl0_16
<=> sk_c10 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f202,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f206,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f21,f200,f139]) ).
fof(f207,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f19,f200,f144]) ).
fof(f208,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f17,f200,f112]) ).
fof(f210,definition,
( spl0_17
<=> inverse(sk_c1) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f212,plain,
( inverse(sk_c1) = sk_c10
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f216,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f9,f210,f139]) ).
fof(f217,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f7,f210,f144]) ).
fof(f218,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f5,f210,f112]) ).
fof(f219,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f110,f141]) ).
fof(f220,plain,
( sk_c10 != inverse(sk_c6)
| ~ spl0_2
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f219]) ).
fof(f221,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f220,f146]) ).
fof(f222,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f223,plain,
( sk_c10 != sk_c10
| inverse(sk_c1) != sk_c10
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f110,f202]) ).
fof(f224,plain,
( inverse(sk_c1) != sk_c10
| ~ spl0_2
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f223]) ).
fof(f225,plain,
( $false
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f224,f212]) ).
fof(f226,plain,
( ~ spl0_2
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f225]) ).
fof(f227,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f107,f131]) ).
fof(f229,plain,
( sk_c9 != multiply(sk_c10,sk_c5)
| sk_c10 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f107,f152]) ).
fof(f230,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f229,f162]) ).
fof(f240,plain,
( sk_c10 != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f227,f136]) ).
fof(f241,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f230,f126]) ).
fof(f242,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f243,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f240,f122]) ).
fof(f244,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f248,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c9 != multiply(sk_c7,sk_c10)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f117,f122]) ).
fof(f249,plain,
( sk_c9 != multiply(sk_c3,sk_c10)
| sk_c9 != multiply(sk_c2,sk_c3)
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f117,f182]) ).
fof(f252,plain,
( sk_c9 != multiply(sk_c2,sk_c3)
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f249,f172]) ).
fof(f259,definition,
( spl0_21
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f260,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f278,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f252,f192]) ).
fof(f279,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f285,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_17 ),
inference(superposition,[],[f3,f212]) ).
fof(f286,plain,
( identity = multiply(sk_c10,sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f3,f146]) ).
fof(f287,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f3,f122]) ).
fof(f289,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_6 ),
inference(superposition,[],[f3,f126]) ).
fof(f292,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f300,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f292,f1]) ).
fof(f303,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c1,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f285]) ).
fof(f304,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c1,X0)) = X0
| ~ spl0_17 ),
inference(forward_demodulation,[],[f303,f1]) ).
fof(f307,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c7,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f287]) ).
fof(f308,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c7,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f307,f1]) ).
fof(f316,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f304,f202]) ).
fof(f320,plain,
( spl0_21
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f316,f210,f200,f259]) ).
fof(f327,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f308,f131]) ).
fof(f333,plain,
( sk_c10 = sk_c9
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f327,f136]) ).
fof(f443,plain,
( sk_c1 = multiply(inverse(sk_c10),identity)
| ~ spl0_17 ),
inference(superposition,[],[f300,f285]) ).
fof(f444,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_21 ),
inference(superposition,[],[f300,f260]) ).
fof(f445,plain,
( sk_c6 = multiply(inverse(sk_c10),identity)
| ~ spl0_10 ),
inference(superposition,[],[f300,f286]) ).
fof(f447,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_8 ),
inference(superposition,[],[f300,f136]) ).
fof(f450,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_6 ),
inference(superposition,[],[f300,f289]) ).
fof(f462,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c5)
| ~ spl0_11 ),
inference(superposition,[],[f300,f152]) ).
fof(f467,plain,
( sk_c10 = multiply(sk_c10,sk_c5)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f462,f126]) ).
fof(f478,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f447,f333]) ).
fof(f480,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f444,f333]) ).
fof(f488,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f478,f3]) ).
fof(f489,plain,
( identity = sk_c10
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(forward_demodulation,[],[f480,f3]) ).
fof(f624,plain,
( sk_c10 != sk_c9
| ~ spl0_5
| ~ spl0_7
| spl0_8 ),
inference(forward_demodulation,[],[f135,f327]) ).
fof(f653,plain,
( sk_c10 = sk_c9
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f467,f162]) ).
fof(f666,plain,
( $false
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f653,f624]) ).
fof(f667,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f696,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f444,f653]) ).
fof(f697,plain,
( identity = sk_c10
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f696,f3]) ).
fof(f698,plain,
( sk_c9 != inverse(identity)
| spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(superposition,[],[f114,f697]) ).
fof(f713,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(superposition,[],[f443,f697]) ).
fof(f718,plain,
( identity = sk_c1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f713,f3]) ).
fof(f732,plain,
( sk_c10 != inverse(identity)
| spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f698,f653]) ).
fof(f738,plain,
( identity != inverse(identity)
| spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_21 ),
inference(forward_demodulation,[],[f732,f697]) ).
fof(f744,plain,
( sk_c1 = sk_c6
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f445,f443]) ).
fof(f747,plain,
( sk_c10 != multiply(sk_c1,sk_c9)
| spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f140,f744]) ).
fof(f749,plain,
( $false
| spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f747,f202]) ).
fof(f750,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f767,plain,
( sk_c1 = sk_c4
| ~ spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f450,f443]) ).
fof(f768,plain,
( identity = sk_c4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f767,f718]) ).
fof(f772,plain,
( sk_c10 = inverse(identity)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(superposition,[],[f126,f768]) ).
fof(f773,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_demodulation,[],[f772,f697]) ).
fof(f814,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f773,f738]) ).
fof(f815,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f814]) ).
fof(f874,definition,
( spl0_30
<=> identity = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f875,plain,
( identity = sk_c10
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f902,plain,
( sk_c9 != sk_c8
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f248,f131]) ).
fof(f905,plain,
( sk_c9 = multiply(sk_c10,identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f136,f488]) ).
fof(f908,plain,
( identity != sk_c9
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f902,f488]) ).
fof(f911,definition,
( spl0_31
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f916,plain,
( ~ spl0_21
| ~ spl0_31
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f908,f134,f129,f120,f116,f911,f259]) ).
fof(f921,plain,
( spl0_30
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f489,f259,f134,f129,f120,f874]) ).
fof(f965,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_demodulation,[],[f905,f875]) ).
fof(f966,plain,
( identity = sk_c9
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(forward_demodulation,[],[f965,f1]) ).
fof(f988,plain,
( spl0_31
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f966,f874,f134,f129,f120,f911]) ).
fof(f993,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c10)
| ~ spl0_9 ),
inference(superposition,[],[f300,f141]) ).
fof(f995,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f993,f146]) ).
fof(f996,plain,
( spl0_21
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f995,f144,f139,f259]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f118]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f127]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f132]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f137]) ).
cnf(s8,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f148]) ).
cnf(s9,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f153]) ).
cnf(s10,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f154]) ).
cnf(s11,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f155]) ).
cnf(s14,plain,
( spl0_3
| spl0_11 ),
inference(sat_conversion,[],[f158]) ).
cnf(s15,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f163]) ).
cnf(s16,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f164]) ).
cnf(s17,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f165]) ).
cnf(s20,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f168]) ).
cnf(s21,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f173]) ).
cnf(s22,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f174]) ).
cnf(s23,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f175]) ).
cnf(s24,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f176]) ).
cnf(s25,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f177]) ).
cnf(s27,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f183]) ).
cnf(s28,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f184]) ).
cnf(s29,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f185]) ).
cnf(s30,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f186]) ).
cnf(s31,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f187]) ).
cnf(s33,plain,
( spl0_5
| spl0_15 ),
inference(sat_conversion,[],[f193]) ).
cnf(s34,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f194]) ).
cnf(s35,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f195]) ).
cnf(s36,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f196]) ).
cnf(s37,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f197]) ).
cnf(s42,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f206]) ).
cnf(s43,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f207]) ).
cnf(s44,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f208]) ).
cnf(s48,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f216]) ).
cnf(s49,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f217]) ).
cnf(s50,plain,
( spl0_3
| spl0_17 ),
inference(sat_conversion,[],[f218]) ).
cnf(s51,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f222]) ).
cnf(s52,plain,
( ~ spl0_2
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f226]) ).
cnf(s54,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f242]) ).
cnf(s55,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f244]) ).
cnf(s60,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f279]) ).
cnf(s62,plain,
( ~ spl0_16
| ~ spl0_17
| spl0_21 ),
inference(sat_conversion,[],[f320]) ).
cnf(s65,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f667]) ).
cnf(s66,plain,
( spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f750]) ).
cnf(s67,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_21 ),
inference(sat_conversion,[],[f815]) ).
cnf(s82,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21
| ~ spl0_31 ),
inference(sat_conversion,[],[f916]) ).
cnf(s89,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_21
| spl0_30 ),
inference(sat_conversion,[],[f921]) ).
cnf(s100,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_30
| spl0_31 ),
inference(sat_conversion,[],[f988]) ).
cnf(s104,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_21 ),
inference(sat_conversion,[],[f996]) ).
cnf(s105,plain,
spl0_3,
inference(rat,[],[s67,s62,s8,s14,s20,s44,s50]) ).
cnf(s106,plain,
( spl0_5
| ~ spl0_4 ),
inference(rat,[],[s60,s21,s27,s33]) ).
cnf(s107,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_4
| ~ spl0_5
| ~ spl0_21 ),
inference(rat,[],[s89,s100,s82]) ).
cnf(s108,plain,
( spl0_15
| ~ spl0_4 ),
inference(rat,[],[s107,s104,s34,s35,s36,s37,s106]) ).
cnf(s109,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s107,s104,s28,s29,s30,s31,s106]) ).
cnf(s110,plain,
~ spl0_4,
inference(rat,[],[s107,s104,s22,s23,s24,s25,s60,s109,s108,s106]) ).
cnf(s112,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s52,s43,s49]) ).
cnf(s113,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(rat,[],[s66,s42,s48,s51]) ).
cnf(s114,plain,
~ spl0_2,
inference(rat,[],[s113,s112]) ).
cnf(s115,plain,
spl0_1,
inference(rat,[],[s2,s105,s110,s114]) ).
cnf(s117,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s65,s5,s11,s17,s55,s115]) ).
cnf(s118,plain,
spl0_7,
inference(rat,[],[s54,s4,s10,s16,s115]) ).
cnf(s119,plain,
~ spl0_5,
inference(rat,[],[s117,s118]) ).
cnf(s125,plain,
spl0_12,
inference(rat,[],[s15,s119]) ).
cnf(s126,plain,
spl0_11,
inference(rat,[],[s9,s119]) ).
cnf(s127,plain,
spl0_6,
inference(rat,[],[s3,s119]) ).
cnf(s128,plain,
$false,
inference(rat,[],[s54,s127,s115,s125,s126]) ).
fof(f997,plain,
$false,
inference(avatar_sat_refutation,[],[s128]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP221-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n008.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 09:38:40 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.50 % (982074)Will run a generic schedule for satisfiability detection.
% 0.18/0.50 % (982079)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3339084701_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.50 % (982080)% WARNING: option uhcvi not known.
% 0.18/0.50 % TRYING [1]
% 0.18/0.50 % TRYING [2]
% 0.18/0.50 % TRYING [3]
% 0.18/0.50 % (982083)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3965893695:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.50 % (982084)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=78376295:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.50 % (982080)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1681089805:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.50 % (982081)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2753436747:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.50 % (982085)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2068290450:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.50 % (982082)dis+10_1_sil=32000:sp=arity:random_seed=2291303826:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.50 % TRYING [4]
% 0.18/0.50 % TRYING [5]
% 0.18/0.50 % (982082) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-982074-982082"...
% 0.18/0.50 % (982083) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-982074-982083"...
% 0.18/0.50 % TRYING [6]
% 0.18/0.50 % (982082)...printing done.
% 0.18/0.50 % (982082)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (982082)------------------------------
% 0.18/0.50 % (982082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.50 % (982082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.50 % (982082)CaDiCaL version: 2.1.3
% 0.18/0.50 % (982082)Termination reason: Refutation
% 0.18/0.50 % (982082)Time elapsed: 0.030 s
% 0.18/0.50 % (982082)Peak memory usage: 12 MB
% 0.18/0.50 % (982082)Instructions burned: 33 (million)
% 0.18/0.50 % (982074)Success in time 0.065 s
% 0.18/0.50 % Vampire exiting
%------------------------------------------------------------------------------