%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP231-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 10:13:23 AM UTC 2026
% Result : Unsatisfiable 3.13s 1.31s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 50
% Syntax : Number of formulae : 286 ( 23 unt; 19 def)
% Number of atoms : 811 ( 274 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 966 ( 441 ~; 506 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( inverse(sk_c8) = sk_c7
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( inverse(sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( inverse(sk_c8) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c2 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c2 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f37]) ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c3) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| multiply(X1,sk_c7) != sk_c8
| inverse(X2) != sk_c8
| multiply(X2,sk_c7) != sk_c8
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| multiply(sk_c8,X4) != sk_c7
| multiply(X5,sk_c8) != X4
| inverse(X5) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1,X4,X5] :
( inverse(sk_c8) != sk_c7
| multiply(X0,X1) != sk_c8
| inverse(X0) != X1
| sk_c8 != multiply(X1,sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X0,X4,X5] :
( inverse(sk_c8) != sk_c7
| sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,X4)
| multiply(X5,sk_c8) != X4
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f66]) ).
fof(f68,plain,
! [X2,X3,X0,X5] :
( inverse(sk_c8) != sk_c7
| sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != inverse(X2)
| sk_c8 != multiply(X2,sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ),
inference(equality_resolution,[],[f67]) ).
fof(f70,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
| sk_c8 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f71,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f74,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_3
<=> ! [X0] :
( sk_c8 != multiply(X0,inverse(X0))
| sk_c8 != multiply(inverse(X0),sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f77,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl0_4
<=> inverse(sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f80,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( inverse(sk_c8) != sk_c7
| spl0_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f82,plain,
( spl0_1
| spl0_2
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f68,f79,f76,f73,f73,f70]) ).
fof(f84,definition,
( spl0_5
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f86,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl0_6
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f90,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f64,f88,f84]) ).
fof(f93,definition,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f95,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f62,f88,f93]) ).
fof(f98,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f100,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f60,f88,f98]) ).
fof(f103,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f105,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f106,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f58,f88,f103]) ).
fof(f108,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f110,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f56,f88,f108]) ).
fof(f113,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f115,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f116,plain,
( spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f54,f113,f84]) ).
fof(f117,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f52,f113,f93]) ).
fof(f118,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f50,f113,f98]) ).
fof(f119,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f48,f113,f103]) ).
fof(f120,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f46,f113,f108]) ).
fof(f122,definition,
( spl0_12
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f124,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f128,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f122,f103]) ).
fof(f129,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f122,f108]) ).
fof(f131,definition,
( spl0_13
<=> sk_c2 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f133,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_5
| spl0_13 ),
inference(avatar_split_clause,[],[f34,f131,f84]) ).
fof(f135,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f32,f131,f93]) ).
fof(f136,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f131,f98]) ).
fof(f137,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f28,f131,f103]) ).
fof(f138,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f131,f108]) ).
fof(f140,definition,
( spl0_14
<=> sk_c8 = multiply(sk_c1,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f142,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f143,plain,
( spl0_5
| spl0_14 ),
inference(avatar_split_clause,[],[f24,f140,f84]) ).
fof(f144,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f22,f140,f93]) ).
fof(f145,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f20,f140,f98]) ).
fof(f146,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f18,f140,f103]) ).
fof(f147,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f16,f140,f108]) ).
fof(f148,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f14,f79,f84]) ).
fof(f149,plain,
( spl0_7
| spl0_4 ),
inference(avatar_split_clause,[],[f12,f79,f93]) ).
fof(f150,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f10,f79,f98]) ).
fof(f151,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f79,f103]) ).
fof(f152,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f79,f108]) ).
fof(f153,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_5 ),
inference(superposition,[],[f3,f86]) ).
fof(f154,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f110]) ).
fof(f157,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f159,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
| ~ spl0_5 ),
inference(superposition,[],[f4,f153]) ).
fof(f162,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f159,f1]) ).
fof(f163,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f157,f1]) ).
fof(f171,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f162,f95]) ).
fof(f177,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f171,f100]) ).
fof(f201,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f163,f154]) ).
fof(f203,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f163,f100]) ).
fof(f205,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f163,f105]) ).
fof(f214,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f205,f110]) ).
fof(f215,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f203,f177]) ).
fof(f219,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f214,f177]) ).
fof(f220,plain,
( identity = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f215,f3]) ).
fof(f224,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f163,f219]) ).
fof(f226,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f224,f3]) ).
fof(f228,plain,
( sk_c8 = sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f226,f220]) ).
fof(f234,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c6)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f201,f220]) ).
fof(f242,plain,
( sk_c4 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f234,f228]) ).
fof(f243,plain,
( identity = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f242,f3]) ).
fof(f244,plain,
( sk_c8 = sk_c4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f243,f226]) ).
fof(f248,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f110,f244]) ).
fof(f269,plain,
( sk_c8 != sk_c7
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f81,f248]) ).
fof(f273,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f269,f177]) ).
fof(f274,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f275,plain,
( ! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c8)
| sk_c8 != multiply(X0,inverse(X0)) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f77,f177]) ).
fof(f277,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f275,f86]) ).
fof(f286,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f277,f219]) ).
fof(f289,plain,
( sk_c8 != sk_c6
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f286,f95]) ).
fof(f294,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f289,f228]) ).
fof(f295,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f296,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(sk_c8,multiply(X5,sk_c8)) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f71,f177]) ).
fof(f297,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f296,f86]) ).
fof(f302,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f297]) ).
fof(f305,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f302,f162]) ).
fof(f306,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f312,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f74,f177]) ).
fof(f313,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f312,f86]) ).
fof(f318,plain,
( sk_c8 != multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f313]) ).
fof(f322,plain,
( sk_c8 != sk_c6
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f318,f95]) ).
fof(f325,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f322,f228]) ).
fof(f326,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f328,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_4 ),
inference(superposition,[],[f3,f80]) ).
fof(f333,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_6 ),
inference(superposition,[],[f163,f90]) ).
fof(f335,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f333,f115]) ).
fof(f338,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_14 ),
inference(superposition,[],[f163,f142]) ).
fof(f340,plain,
( sk_c2 = multiply(sk_c2,sk_c8)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f338,f133]) ).
fof(f341,plain,
( sk_c8 != multiply(sk_c7,sk_c7)
| sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f77,f80]) ).
fof(f344,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| sk_c8 != multiply(sk_c1,sk_c2)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f77,f133]) ).
fof(f352,definition,
( spl0_16
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f353,plain,
( identity = sk_c8
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f357,definition,
( spl0_17
<=> sk_c8 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f358,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f361,definition,
( spl0_18
<=> sk_c8 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f362,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f365,plain,
( sk_c8 != multiply(sk_c1,sk_c2)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f344,f124]) ).
fof(f377,definition,
( spl0_21
<=> sk_c8 = multiply(sk_c7,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f378,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f380,plain,
( ~ spl0_18
| ~ spl0_21
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f341,f79,f76,f377,f361]) ).
fof(f381,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f365,f142]) ).
fof(f382,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f389,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5 ),
inference(superposition,[],[f71,f86]) ).
fof(f391,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c3,sk_c8))
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f71,f115]) ).
fof(f392,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c3,sk_c8))
| ~ spl0_1
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f391]) ).
fof(f393,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c5,sk_c8))
| ~ spl0_1
| ~ spl0_5 ),
inference(trivial_inequality_removal,[],[f389]) ).
fof(f404,plain,
( sk_c8 != sk_c7
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f393,f162]) ).
fof(f410,definition,
( spl0_25
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f411,plain,
( sk_c8 = sk_c7
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f414,plain,
( ~ spl0_25
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f404,f84,f70,f410]) ).
fof(f422,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f163,f214]) ).
fof(f424,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f422,f80]) ).
fof(f425,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f424,f108,f103,f79,f377]) ).
fof(f428,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_21 ),
inference(superposition,[],[f4,f378]) ).
fof(f437,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f163,f340]) ).
fof(f439,plain,
( identity = sk_c8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f437,f3]) ).
fof(f440,plain,
( spl0_16
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f439,f140,f131,f352]) ).
fof(f463,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c7,sk_c8)
| ~ spl0_21 ),
inference(superposition,[],[f428,f378]) ).
fof(f472,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_21 ),
inference(forward_demodulation,[],[f463,f328]) ).
fof(f475,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_4
| ~ spl0_16
| ~ spl0_21 ),
inference(forward_demodulation,[],[f472,f353]) ).
fof(f477,plain,
( spl0_18
| ~ spl0_4
| ~ spl0_16
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f475,f377,f352,f79,f361]) ).
fof(f495,plain,
( sk_c8 = multiply(sk_c3,sk_c8)
| ~ spl0_6
| ~ spl0_25 ),
inference(superposition,[],[f90,f411]) ).
fof(f508,plain,
( spl0_17
| ~ spl0_6
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f495,f410,f88,f357]) ).
fof(f512,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_17 ),
inference(superposition,[],[f392,f358]) ).
fof(f560,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f335,f512]) ).
fof(f561,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f562,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f163,f335]) ).
fof(f564,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_demodulation,[],[f562,f80]) ).
fof(f568,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f564,f113,f88,f79,f377]) ).
fof(f569,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_18 ),
inference(superposition,[],[f163,f362]) ).
fof(f571,plain,
( identity = sk_c7
| ~ spl0_18 ),
inference(forward_demodulation,[],[f569,f3]) ).
fof(f572,plain,
( sk_c8 = sk_c7
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f571,f353]) ).
fof(f577,plain,
( spl0_25
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f572,f361,f352,f410]) ).
fof(f585,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f74,f115]) ).
fof(f586,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f585]) ).
fof(f587,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f586,f90]) ).
fof(f588,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f587]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f82]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f91]) ).
cnf(s4,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f96]) ).
cnf(s5,plain,
( spl0_6
| spl0_8 ),
inference(sat_conversion,[],[f101]) ).
cnf(s6,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f106]) ).
cnf(s7,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f111]) ).
cnf(s8,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f116]) ).
cnf(s9,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f117]) ).
cnf(s10,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f118]) ).
cnf(s11,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f119]) ).
cnf(s12,plain,
( spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f120]) ).
cnf(s16,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s17,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f129]) ).
cnf(s18,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f134]) ).
cnf(s19,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s20,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s21,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s22,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s23,plain,
( spl0_5
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s24,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f144]) ).
cnf(s25,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s26,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s27,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s28,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f148]) ).
cnf(s29,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s30,plain,
( spl0_4
| spl0_8 ),
inference(sat_conversion,[],[f150]) ).
cnf(s31,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f151]) ).
cnf(s32,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f152]) ).
cnf(s33,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f274]) ).
cnf(s37,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f295]) ).
cnf(s38,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8 ),
inference(sat_conversion,[],[f306]) ).
cnf(s43,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f326]) ).
cnf(s48,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_18
| ~ spl0_21 ),
inference(sat_conversion,[],[f380]) ).
cnf(s49,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f382]) ).
cnf(s52,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_25 ),
inference(sat_conversion,[],[f414]) ).
cnf(s53,plain,
( ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| spl0_21 ),
inference(sat_conversion,[],[f425]) ).
cnf(s54,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f440]) ).
cnf(s55,plain,
( ~ spl0_4
| ~ spl0_16
| spl0_18
| ~ spl0_21 ),
inference(sat_conversion,[],[f477]) ).
cnf(s63,plain,
( ~ spl0_6
| spl0_17
| ~ spl0_25 ),
inference(sat_conversion,[],[f508]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_11
| ~ spl0_17 ),
inference(sat_conversion,[],[f561]) ).
cnf(s72,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| spl0_21 ),
inference(sat_conversion,[],[f568]) ).
cnf(s79,plain,
( ~ spl0_16
| ~ spl0_18
| spl0_25 ),
inference(sat_conversion,[],[f577]) ).
cnf(s82,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_11 ),
inference(sat_conversion,[],[f588]) ).
cnf(s85,plain,
spl0_4,
inference(rat,[],[s33,s28,s29,s30,s31,s32]) ).
cnf(s87,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s49,s17,s22,s27]) ).
cnf(s88,plain,
( spl0_9
| ~ spl0_3 ),
inference(rat,[],[s49,s16,s21,s26]) ).
cnf(s89,plain,
( spl0_8
| spl0_16 ),
inference(rat,[],[s54,s20,s25]) ).
cnf(s90,plain,
( spl0_7
| spl0_16 ),
inference(rat,[],[s54,s19,s24]) ).
cnf(s91,plain,
~ spl0_3,
inference(rat,[],[s54,s18,s23,s37,s90,s89,s55,s48,s53,s88,s87,s85]) ).
cnf(s92,plain,
( spl0_8
| ~ spl0_2 ),
inference(rat,[],[s82,s5,s10]) ).
cnf(s93,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s82,s7,s12]) ).
cnf(s94,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s82,s6,s11]) ).
cnf(s95,plain,
( spl0_7
| ~ spl0_2 ),
inference(rat,[],[s82,s4,s9]) ).
cnf(s96,plain,
( ~ spl0_7
| ~ spl0_8
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10 ),
inference(rat,[],[s82,s3,s8,s43]) ).
cnf(s97,plain,
~ spl0_2,
inference(rat,[],[s96,s95,s94,s93,s92]) ).
cnf(s98,plain,
spl0_1,
inference(rat,[],[s2,s85,s91,s97]) ).
cnf(s99,plain,
spl0_8,
inference(rat,[],[s79,s63,s55,s69,s72,s89,s5,s10,s85,s98]) ).
cnf(s100,plain,
~ spl0_5,
inference(rat,[],[s79,s55,s72,s90,s4,s9,s38,s52,s85,s98,s99]) ).
cnf(s101,plain,
spl0_14,
inference(rat,[],[s23,s100]) ).
cnf(s102,plain,
spl0_13,
inference(rat,[],[s18,s100]) ).
cnf(s104,plain,
spl0_11,
inference(rat,[],[s8,s100]) ).
cnf(s105,plain,
spl0_6,
inference(rat,[],[s3,s100]) ).
cnf(s106,plain,
spl0_16,
inference(rat,[],[s54,s101,s102]) ).
cnf(s107,plain,
spl0_21,
inference(rat,[],[s72,s105,s85,s104]) ).
cnf(s108,plain,
~ spl0_17,
inference(rat,[],[s69,s104,s98,s105]) ).
cnf(s109,plain,
spl0_18,
inference(rat,[],[s55,s107,s85,s106]) ).
cnf(s110,plain,
~ spl0_25,
inference(rat,[],[s63,s105,s108]) ).
cnf(s111,plain,
$false,
inference(rat,[],[s79,s106,s110,s109]) ).
fof(f596,plain,
$false,
inference(avatar_sat_refutation,[],[s111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP231-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:38:15 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.13/1.31 % (2157708)Input is clausal, will run a generic CNF schedule.
% 3.13/1.31 % (2157717)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2590113139:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.13/1.31 % (2157717)Instruction limit reached!
% 3.13/1.31 % (2157717)------------------------------
% 3.13/1.31 % (2157717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.31 % (2157717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.31 % (2157717)CaDiCaL version: 2.1.3
% 3.13/1.31 % (2157717)Termination reason: Instruction limit
% 3.13/1.31 % (2157717)Termination phase: Saturation
% 3.13/1.31 % (2157717)Time elapsed: 0.035 s
% 3.13/1.31 % (2157717)Peak memory usage: 89 MB
% 3.13/1.31 % (2157717)Instructions burned: 115 (million)
% 3.13/1.31 % (2157719)dis-21_1_sil=8000:lcm=predicate:random_seed=2255411210:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.13/1.31 % (2157716)lrs+10_1_sil=8000:sp=occurrence:random_seed=753379784:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.13/1.31 % (2157714)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3294432503:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.13/1.31 % (2157718)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4263118288:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.13/1.31 % (2157713)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=3352154557:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.13/1.31 % (2157715)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1956621511:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.13/1.31 % (2157719)Refutation not found, incomplete strategy
% 3.13/1.31 % (2157719)------------------------------
% 3.13/1.31 % (2157719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.31 % (2157719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.31 % (2157719)CaDiCaL version: 2.1.3
% 3.13/1.31 % (2157719)Termination reason: Refutation not found, incomplete strategy
% 3.13/1.31 % (2157719)Time elapsed: 0.002 s
% 3.13/1.31 % (2157719)Peak memory usage: 88 MB
% 3.13/1.31 % (2157719)Instructions burned: 1 (million)
% 3.13/1.31 % (2157716)Refutation not found, incomplete strategy
% 3.13/1.31 % (2157716)------------------------------
% 3.13/1.31 % (2157716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.31 % (2157716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.31 % (2157716)CaDiCaL version: 2.1.3
% 3.13/1.31 % (2157716)Termination reason: Refutation not found, incomplete strategy
% 3.13/1.31 % (2157716)Time elapsed: 0.003 s
% 3.13/1.31 % (2157716)Peak memory usage: 88 MB
% 3.13/1.31 % (2157716)Instructions burned: 3 (million)
% 3.13/1.31 % (2157718)First to succeed.
% 3.13/1.31 % (2157718)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2157708"
% 3.13/1.31 % (2157721)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=2770154545:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.13/1.31 % (2157721)Refutation not found, incomplete strategy
% 3.13/1.31 % (2157721)------------------------------
% 3.13/1.31 % (2157721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.13/1.31 % (2157721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.13/1.31 % (2157721)CaDiCaL version: 2.1.3
% 3.13/1.31 % (2157721)Termination reason: Refutation not found, incomplete strategy
% 3.13/1.31 % (2157721)Time elapsed: 0.002 s
% 3.13/1.31 % (2157721)Peak memory usage: 88 MB
% 3.13/1.31 % (2157721)Instructions burned: 3 (million)
% 3.13/1.31 % (2157719)------------------------------
% 3.13/1.31 % (2157719)------------------------------
% 3.13/1.31 % (2157716)------------------------------
% 3.13/1.31 % (2157716)------------------------------
% 3.13/1.31 % (2157721)------------------------------
% 3.13/1.31 % (2157721)------------------------------
% 3.13/1.31 % (2157718)Refutation found. Thanks to Tanya!
% 3.13/1.31 % SZS status Unsatisfiable for theBenchmark
% 3.13/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.40 % (2157718)------------------------------
% 0.17/1.40 % (2157718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.40 % (2157718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.40 % (2157718)CaDiCaL version: 2.1.3
% 0.17/1.40 % (2157718)Termination reason: Refutation
% 0.17/1.40 % (2157718)Time elapsed: 0.016 s
% 0.17/1.40 % (2157718)Peak memory usage: 89 MB
% 0.17/1.40 % (2157718)Instructions burned: 22 (million)
% 0.17/1.40 % (2157718)------------------------------
% 0.17/1.40 % (2157718)------------------------------
% 0.17/1.40 % (2157708)Success in time 0.446 s
% 0.17/1.40 % Vampire exiting
%------------------------------------------------------------------------------