%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP343-1 : 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 : n017.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 10:13:42 AM UTC 2026
% Result : Unsatisfiable 3.03s 1.39s
% Output : Refutation 4.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 58
% Syntax : Number of formulae : 369 ( 22 unt; 25 def)
% Number of atoms : 1143 ( 327 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1470 ( 696 ~; 749 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 26 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 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(f5,negated_conjecture,
multiply(sk_c8,sk_c9) = sk_c7,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c9 = inverse(sk_c1)
| inverse(sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c9 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| inverse(sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c5 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c8 = inverse(sk_c2)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c8 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f46]) ).
fof(f50,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c8 = inverse(sk_c2)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f50]) ).
fof(f54,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c9) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c3) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c9 = inverse(sk_c3) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c9 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f62]) ).
fof(f66,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f66]) ).
fof(f70,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c8,sk_c9) != sk_c7
| inverse(X0) != sk_c9
| multiply(X0,sk_c8) != sk_c9
| inverse(X1) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| multiply(X2,sk_c9) != sk_c8
| inverse(X2) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| multiply(X3,sk_c8) != sk_c9
| inverse(X3) != sk_c8
| inverse(X4) != X5
| inverse(X5) != sk_c9
| multiply(X4,sk_c9) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f71,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c8,sk_c9) != sk_c7
| inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c7)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| inverse(X4) != X5
| sk_c9 != inverse(X5)
| multiply(X4,sk_c9) != X5 ),
inference(reorient_equations,[],[f70]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c9) != sk_c7
| inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8)
| sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c7)
| sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c9 != inverse(inverse(X4))
| inverse(X4) != multiply(X4,sk_c9) ),
inference(equality_resolution,[],[f71]) ).
fof(f74,definition,
( spl0_1
<=> ! [X4] :
( sk_c9 != inverse(inverse(X4))
| inverse(X4) != multiply(X4,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f75,plain,
( ! [X4] :
( sk_c9 != inverse(inverse(X4))
| inverse(X4) != multiply(X4,sk_c9) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f78,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,definition,
( spl0_3
<=> sk_c8 = multiply(sk_c9,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f81,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( sk_c8 != multiply(sk_c9,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f84,definition,
( spl0_4
<=> ! [X2] :
( sk_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f85,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c8 != multiply(X2,sk_c9) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_5
<=> ! [X1] :
( sk_c8 != inverse(X1)
| sk_c8 != multiply(X1,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f88,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c7)
| sk_c8 != inverse(X1) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,definition,
( spl0_6
<=> ! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f91,plain,
( ! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c8) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,definition,
( spl0_7
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f94,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f72,f93,f90,f87,f84,f80,f77,f74]) ).
fof(f98,definition,
( spl0_8
<=> sk_c5 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f102,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f104,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f107,definition,
( spl0_10
<=> sk_c9 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f109,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f67,f102,f107]) ).
fof(f112,definition,
( spl0_11
<=> inverse(sk_c6) = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f114,plain,
( inverse(sk_c6) = sk_c5
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f117,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f119,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f63,f102,f117]) ).
fof(f122,definition,
( spl0_13
<=> sk_c9 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f124,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f61,f102,f122]) ).
fof(f126,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f59,f102,f80]) ).
fof(f128,definition,
( spl0_14
<=> sk_c9 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f130,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f57,f102,f128]) ).
fof(f133,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f135,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl0_15
| spl0_9 ),
inference(avatar_split_clause,[],[f55,f102,f133]) ).
fof(f138,definition,
( spl0_16
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f140,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f142,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f51,f138,f107]) ).
fof(f144,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f47,f138,f117]) ).
fof(f145,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f45,f138,f122]) ).
fof(f146,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f43,f138,f80]) ).
fof(f147,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f41,f138,f128]) ).
fof(f148,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f39,f138,f133]) ).
fof(f150,definition,
( spl0_17
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f152,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f153,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f37,f150,f98]) ).
fof(f154,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f35,f150,f107]) ).
fof(f155,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f33,f150,f112]) ).
fof(f156,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f31,f150,f117]) ).
fof(f157,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f29,f150,f122]) ).
fof(f158,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f27,f150,f80]) ).
fof(f159,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f25,f150,f128]) ).
fof(f160,plain,
( spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f23,f150,f133]) ).
fof(f162,definition,
( spl0_18
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f164,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f21,f162,f98]) ).
fof(f166,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f19,f162,f107]) ).
fof(f167,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f17,f162,f112]) ).
fof(f168,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f15,f162,f117]) ).
fof(f169,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f13,f162,f122]) ).
fof(f170,plain,
( spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f11,f162,f80]) ).
fof(f171,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f9,f162,f128]) ).
fof(f172,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f7,f162,f133]) ).
fof(f173,plain,
spl0_7,
inference(avatar_split_clause,[],[f5,f93]) ).
fof(f174,plain,
( sk_c9 != sk_c9
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_13 ),
inference(superposition,[],[f78,f124]) ).
fof(f175,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f174]) ).
fof(f178,plain,
( ~ spl0_12
| ~ spl0_2
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f175,f122,f77,f117]) ).
fof(f183,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_18 ),
inference(superposition,[],[f3,f164]) ).
fof(f185,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_11 ),
inference(superposition,[],[f3,f114]) ).
fof(f187,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_16 ),
inference(superposition,[],[f3,f140]) ).
fof(f194,definition,
( spl0_20
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f195,plain,
( identity = sk_c9
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f196,plain,
( identity != sk_c9
| spl0_20 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f200,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f203,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_18 ),
inference(superposition,[],[f4,f183]) ).
fof(f204,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f152]) ).
fof(f206,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f124]) ).
fof(f210,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_18 ),
inference(forward_demodulation,[],[f203,f1]) ).
fof(f211,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f200,f1]) ).
fof(f229,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f210,f152]) ).
fof(f239,plain,
( multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c7)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f204,f94]) ).
fof(f245,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f239,f229]) ).
fof(f247,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f210,f245]) ).
fof(f262,plain,
( sk_c9 != sk_c7
| sk_c8 != inverse(sk_c9)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f78,f247]) ).
fof(f265,definition,
( spl0_21
<=> sk_c8 = inverse(sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f267,plain,
( sk_c8 != inverse(sk_c9)
| spl0_21 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f269,definition,
( spl0_22
<=> sk_c9 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f270,plain,
( sk_c9 = sk_c7
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f272,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f262,f162,f150,f93,f77,f269,f265]) ).
fof(f273,plain,
( multiply(sk_c9,sk_c9) = multiply(sk_c4,sk_c7)
| ~ spl0_7
| ~ spl0_13 ),
inference(superposition,[],[f206,f94]) ).
fof(f278,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_7
| ~ spl0_13
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f273,f229]) ).
fof(f354,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_15 ),
inference(superposition,[],[f211,f135]) ).
fof(f363,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f211,f104]) ).
fof(f369,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f363,f140]) ).
fof(f375,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f354,f130]) ).
fof(f380,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c9,sk_c8)
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f204,f369]) ).
fof(f390,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f380,f247]) ).
fof(f392,plain,
( sk_c8 = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f390,f245]) ).
fof(f403,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f245,f392]) ).
fof(f404,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f278,f392]) ).
fof(f405,plain,
( sk_c8 = sk_c9
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f404,f124]) ).
fof(f406,plain,
( sk_c8 = sk_c9
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f403,f152]) ).
fof(f411,plain,
( sk_c9 != sk_c9
| sk_c8 != multiply(sk_c1,sk_c9)
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f85,f164]) ).
fof(f412,plain,
( sk_c9 != sk_c9
| sk_c8 != multiply(sk_c3,sk_c9)
| ~ spl0_4
| ~ spl0_14 ),
inference(superposition,[],[f85,f130]) ).
fof(f417,plain,
( sk_c8 != multiply(sk_c3,sk_c9)
| ~ spl0_4
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f412]) ).
fof(f418,plain,
( sk_c8 != multiply(sk_c1,sk_c9)
| ~ spl0_4
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f411]) ).
fof(f424,definition,
( spl0_26
<=> sk_c8 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f425,plain,
( sk_c8 = sk_c9
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f426,plain,
( sk_c8 != sk_c9
| spl0_26 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f429,plain,
( $false
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f417,f135]) ).
fof(f430,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f432,definition,
( spl0_27
<=> sk_c9 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f433,plain,
( sk_c9 = sk_c5
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f442,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c8)
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f91,f164]) ).
fof(f487,plain,
( spl0_26
| ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f405,f162,f150,f138,f122,f102,f93,f424]) ).
fof(f491,plain,
( sk_c8 != multiply(sk_c9,sk_c8)
| spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f82,f392]) ).
fof(f493,plain,
( sk_c8 != sk_c7
| spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f491,f247]) ).
fof(f494,plain,
( $false
| spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f493,f392]) ).
fof(f495,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f496,plain,
( sk_c8 = multiply(sk_c9,sk_c8)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f81,f392]) ).
fof(f505,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl0_7
| ~ spl0_26 ),
inference(superposition,[],[f94,f425]) ).
fof(f508,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_16
| ~ spl0_26 ),
inference(superposition,[],[f187,f425]) ).
fof(f516,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_26 ),
inference(superposition,[],[f496,f425]) ).
fof(f523,plain,
( sk_c9 != inverse(sk_c9)
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_18 ),
inference(superposition,[],[f75,f164]) ).
fof(f525,plain,
( sk_c9 != inverse(sk_c5)
| sk_c5 != multiply(sk_c6,sk_c9)
| ~ spl0_1
| ~ spl0_11 ),
inference(superposition,[],[f75,f114]) ).
fof(f534,definition,
( spl0_34
<=> sk_c9 = inverse(sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_34])],[avatar_definition]) ).
fof(f535,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f538,plain,
( sk_c5 != multiply(sk_c6,sk_c9)
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f525,f109]) ).
fof(f541,definition,
( spl0_35
<=> sk_c9 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f542,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f544,plain,
( ~ spl0_35
| ~ spl0_34
| ~ spl0_1
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f523,f162,f74,f534,f541]) ).
fof(f555,plain,
( ~ spl0_8
| ~ spl0_1
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f538,f112,f107,f74,f98]) ).
fof(f559,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f245,f270]) ).
fof(f563,plain,
( sk_c9 = multiply(sk_c1,sk_c9)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_demodulation,[],[f559,f425]) ).
fof(f566,plain,
( spl0_35
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_22
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f563,f424,f269,f162,f150,f93,f541]) ).
fof(f582,plain,
( sk_c9 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_26 ),
inference(superposition,[],[f211,f516]) ).
fof(f584,plain,
( identity = sk_c9
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_26 ),
inference(forward_demodulation,[],[f582,f3]) ).
fof(f589,plain,
( spl0_20
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f584,f424,f162,f150,f138,f102,f93,f80,f194]) ).
fof(f591,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_20 ),
inference(superposition,[],[f1,f195]) ).
fof(f614,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl0_16
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f508,f195]) ).
fof(f721,plain,
( sk_c9 = sk_c2
| ~ spl0_16
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f614,f591]) ).
fof(f723,plain,
( sk_c8 = inverse(sk_c9)
| ~ spl0_16
| ~ spl0_20
| ~ spl0_26 ),
inference(superposition,[],[f140,f721]) ).
fof(f730,plain,
( $false
| ~ spl0_16
| ~ spl0_20
| spl0_21
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f723,f267]) ).
fof(f731,plain,
( ~ spl0_16
| ~ spl0_20
| spl0_21
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f730]) ).
fof(f738,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_16
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f723,f425]) ).
fof(f747,plain,
( sk_c8 != sk_c9
| ~ spl0_4
| ~ spl0_18
| ~ spl0_35 ),
inference(forward_demodulation,[],[f418,f542]) ).
fof(f750,plain,
( spl0_34
| ~ spl0_16
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f738,f424,f194,f138,f534]) ).
fof(f757,plain,
( $false
| ~ spl0_4
| ~ spl0_18
| ~ spl0_26
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f747,f425]) ).
fof(f758,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_26
| ~ spl0_35 ),
inference(avatar_contradiction_clause,[],[f757]) ).
fof(f765,plain,
( ! [X1] :
( sk_c9 != inverse(X1)
| sk_c8 != multiply(X1,sk_c7) )
| ~ spl0_5
| ~ spl0_26 ),
inference(forward_demodulation,[],[f88,f425]) ).
fof(f767,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_12
| ~ spl0_26 ),
inference(forward_demodulation,[],[f119,f425]) ).
fof(f771,plain,
( sk_c8 = sk_c9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f375,f591]) ).
fof(f779,plain,
( sk_c9 = sk_c7
| ~ spl0_7
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f505,f591]) ).
fof(f782,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) )
| ~ spl0_5
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_demodulation,[],[f765,f270]) ).
fof(f788,plain,
( ! [X1] :
( sk_c9 != inverse(X1)
| sk_c9 != multiply(X1,sk_c9) )
| ~ spl0_5
| ~ spl0_22
| ~ spl0_26 ),
inference(forward_demodulation,[],[f782,f425]) ).
fof(f792,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_10 ),
inference(superposition,[],[f3,f109]) ).
fof(f793,plain,
( identity = sk_c5
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f792,f591]) ).
fof(f795,plain,
( sk_c9 = sk_c5
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f793,f195]) ).
fof(f798,plain,
( spl0_27
| ~ spl0_10
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f795,f194,f107,f432]) ).
fof(f799,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_10
| ~ spl0_27 ),
inference(superposition,[],[f109,f433]) ).
fof(f803,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_11
| ~ spl0_27 ),
inference(superposition,[],[f185,f433]) ).
fof(f804,plain,
( identity = sk_c6
| ~ spl0_11
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f803,f591]) ).
fof(f807,plain,
( spl0_34
| ~ spl0_10
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f799,f432,f107,f534]) ).
fof(f808,plain,
( sk_c9 = sk_c6
| ~ spl0_11
| ~ spl0_20
| ~ spl0_27 ),
inference(forward_demodulation,[],[f804,f195]) ).
fof(f811,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_14 ),
inference(superposition,[],[f3,f130]) ).
fof(f812,plain,
( identity = sk_c3
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f811,f591]) ).
fof(f814,plain,
( sk_c9 = sk_c3
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f812,f195]) ).
fof(f815,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f130,f814]) ).
fof(f820,plain,
( spl0_34
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f815,f194,f128,f534]) ).
fof(f822,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_12
| ~ spl0_26 ),
inference(superposition,[],[f3,f767]) ).
fof(f823,plain,
( identity = sk_c4
| ~ spl0_12
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f822,f591]) ).
fof(f825,plain,
( sk_c9 = sk_c4
| ~ spl0_12
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f823,f195]) ).
fof(f826,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_12
| ~ spl0_20
| ~ spl0_26 ),
inference(superposition,[],[f767,f825]) ).
fof(f832,plain,
( spl0_34
| ~ spl0_12
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f826,f424,f194,f117,f534]) ).
fof(f843,plain,
( sk_c9 != sk_c5
| sk_c9 != multiply(sk_c6,sk_c9)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_22
| ~ spl0_26 ),
inference(superposition,[],[f788,f114]) ).
fof(f853,plain,
( sk_c9 != multiply(sk_c6,sk_c9)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f843,f433]) ).
fof(f860,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_20
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f853,f808]) ).
fof(f863,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_20
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[],[f860,f591]) ).
fof(f864,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_20
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(avatar_contradiction_clause,[],[f863]) ).
fof(f865,plain,
( multiply(sk_c9,sk_c7) = multiply(sk_c9,sk_c9)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f273,f825]) ).
fof(f871,plain,
( ! [X1] :
( sk_c9 != multiply(X1,sk_c7)
| sk_c9 != inverse(X1) )
| ~ spl0_5
| ~ spl0_26 ),
inference(forward_demodulation,[],[f765,f425]) ).
fof(f875,plain,
( spl0_22
| ~ spl0_7
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f779,f424,f194,f93,f269]) ).
fof(f876,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f865,f591]) ).
fof(f880,plain,
( sk_c9 = sk_c7
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_demodulation,[],[f876,f591]) ).
fof(f882,plain,
( spl0_22
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f880,f424,f194,f122,f117,f93,f269]) ).
fof(f890,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl0_3
| ~ spl0_26 ),
inference(forward_demodulation,[],[f81,f425]) ).
fof(f912,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c9)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_26 ),
inference(superposition,[],[f871,f890]) ).
fof(f913,plain,
( sk_c8 != sk_c9
| sk_c9 != inverse(sk_c2)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_26 ),
inference(superposition,[],[f871,f104]) ).
fof(f914,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_26 ),
inference(trivial_inequality_removal,[],[f912]) ).
fof(f915,plain,
( sk_c9 != inverse(sk_c2)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f913,f425]) ).
fof(f916,plain,
( ~ spl0_34
| ~ spl0_3
| ~ spl0_5
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f914,f424,f87,f80,f534]) ).
fof(f917,plain,
( sk_c8 != sk_c9
| ~ spl0_5
| ~ spl0_9
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_demodulation,[],[f915,f140]) ).
fof(f918,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_16
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f917,f425]) ).
fof(f919,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_16
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f920,plain,
( sk_c9 != multiply(sk_c1,sk_c8)
| ~ spl0_6
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f442]) ).
fof(f959,plain,
( ~ spl0_17
| ~ spl0_6
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f920,f162,f90,f150]) ).
fof(f984,plain,
( sk_c8 != sk_c9
| spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f267,f535]) ).
fof(f985,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c8)
| ~ spl0_6
| ~ spl0_34 ),
inference(superposition,[],[f91,f535]) ).
fof(f995,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| ~ spl0_6
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f985]) ).
fof(f1076,plain,
( $false
| ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[],[f375,f995]) ).
fof(f1077,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_34 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1118,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f406,f426]) ).
fof(f1119,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1122,plain,
( spl0_26
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f771,f194,f133,f128,f424]) ).
fof(f1125,plain,
( ~ spl0_26
| spl0_21
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f984,f534,f265,f424]) ).
fof(f1130,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_13 ),
inference(superposition,[],[f211,f124]) ).
fof(f1132,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1130,f119]) ).
fof(f1297,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f211,f1132]) ).
fof(f1299,plain,
( identity = sk_c9
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1297,f3]) ).
fof(f1304,plain,
( $false
| ~ spl0_12
| ~ spl0_13
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f1299,f196]) ).
fof(f1305,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f1304]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f96]) ).
cnf(s3,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f110]) ).
cnf(s5,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f120]) ).
cnf(s6,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s7,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f126]) ).
cnf(s8,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f131]) ).
cnf(s9,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f136]) ).
cnf(s11,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f142]) ).
cnf(s13,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f144]) ).
cnf(s14,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f145]) ).
cnf(s15,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f146]) ).
cnf(s16,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f147]) ).
cnf(s17,plain,
( spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f148]) ).
cnf(s18,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f153]) ).
cnf(s19,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f154]) ).
cnf(s20,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f155]) ).
cnf(s21,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f156]) ).
cnf(s22,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f157]) ).
cnf(s23,plain,
( spl0_3
| spl0_17 ),
inference(sat_conversion,[],[f158]) ).
cnf(s24,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f159]) ).
cnf(s25,plain,
( spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f160]) ).
cnf(s26,plain,
( spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f165]) ).
cnf(s27,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f166]) ).
cnf(s28,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f167]) ).
cnf(s29,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f168]) ).
cnf(s30,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f169]) ).
cnf(s31,plain,
( spl0_3
| spl0_18 ),
inference(sat_conversion,[],[f170]) ).
cnf(s32,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f171]) ).
cnf(s33,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f172]) ).
cnf(s34,plain,
spl0_7,
inference(sat_conversion,[],[f173]) ).
cnf(s36,plain,
( ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f178]) ).
cnf(s38,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f272]) ).
cnf(s44,plain,
( ~ spl0_4
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f430]) ).
cnf(s54,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| spl0_26 ),
inference(sat_conversion,[],[f487]) ).
cnf(s57,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f495]) ).
cnf(s59,plain,
( ~ spl0_1
| ~ spl0_18
| ~ spl0_34
| ~ spl0_35 ),
inference(sat_conversion,[],[f544]) ).
cnf(s63,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f555]) ).
cnf(s64,plain,
( ~ spl0_7
| ~ spl0_17
| ~ spl0_18
| ~ spl0_22
| ~ spl0_26
| spl0_35 ),
inference(sat_conversion,[],[f566]) ).
cnf(s67,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| spl0_20
| ~ spl0_26 ),
inference(sat_conversion,[],[f589]) ).
cnf(s71,plain,
( ~ spl0_16
| ~ spl0_20
| spl0_21
| ~ spl0_26 ),
inference(sat_conversion,[],[f731]) ).
cnf(s75,plain,
( ~ spl0_16
| ~ spl0_20
| ~ spl0_26
| spl0_34 ),
inference(sat_conversion,[],[f750]) ).
cnf(s77,plain,
( ~ spl0_4
| ~ spl0_18
| ~ spl0_26
| ~ spl0_35 ),
inference(sat_conversion,[],[f758]) ).
cnf(s83,plain,
( ~ spl0_10
| ~ spl0_20
| spl0_27 ),
inference(sat_conversion,[],[f798]) ).
cnf(s85,plain,
( ~ spl0_10
| ~ spl0_27
| spl0_34 ),
inference(sat_conversion,[],[f807]) ).
cnf(s86,plain,
( ~ spl0_14
| ~ spl0_20
| spl0_34 ),
inference(sat_conversion,[],[f820]) ).
cnf(s87,plain,
( ~ spl0_12
| ~ spl0_20
| ~ spl0_26
| spl0_34 ),
inference(sat_conversion,[],[f832]) ).
cnf(s94,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_20
| ~ spl0_22
| ~ spl0_26
| ~ spl0_27 ),
inference(sat_conversion,[],[f864]) ).
cnf(s96,plain,
( ~ spl0_7
| ~ spl0_20
| spl0_22
| ~ spl0_26 ),
inference(sat_conversion,[],[f875]) ).
cnf(s100,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| spl0_22
| ~ spl0_26 ),
inference(sat_conversion,[],[f882]) ).
cnf(s102,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_26
| ~ spl0_34 ),
inference(sat_conversion,[],[f916]) ).
cnf(s103,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_16
| ~ spl0_26 ),
inference(sat_conversion,[],[f919]) ).
cnf(s116,plain,
( ~ spl0_6
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f959]) ).
cnf(s128,plain,
( ~ spl0_6
| ~ spl0_14
| ~ spl0_15
| ~ spl0_34 ),
inference(sat_conversion,[],[f1077]) ).
cnf(s135,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| spl0_26 ),
inference(sat_conversion,[],[f1119]) ).
cnf(s139,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| spl0_26 ),
inference(sat_conversion,[],[f1122]) ).
cnf(s149,plain,
( spl0_21
| ~ spl0_26
| ~ spl0_34 ),
inference(sat_conversion,[],[f1125]) ).
cnf(s160,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_20 ),
inference(sat_conversion,[],[f1305]) ).
cnf(s161,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(rat,[],[s1,s34]) ).
cnf(s162,plain,
spl0_3,
inference(rat,[],[s57,s7,s15,s23,s31,s34]) ).
cnf(s164,plain,
( spl0_18
| ~ spl0_6 ),
inference(rat,[],[s83,s85,s160,s128,s27,s29,s30,s32,s33]) ).
cnf(s165,plain,
( ~ spl0_18
| ~ spl0_6 ),
inference(rat,[],[s83,s85,s160,s128,s19,s21,s22,s24,s25,s116]) ).
cnf(s166,plain,
~ spl0_6,
inference(rat,[],[s165,s164]) ).
cnf(s167,plain,
( spl0_18
| ~ spl0_5 ),
inference(rat,[],[s94,s100,s139,s83,s160,s27,s28,s29,s30,s32,s33,s34]) ).
cnf(s168,plain,
( spl0_15
| spl0_26
| ~ spl0_17
| ~ spl0_18 ),
inference(rat,[],[s135,s9,s17,s34]) ).
cnf(s169,plain,
( ~ spl0_20
| ~ spl0_10
| ~ spl0_17
| ~ spl0_5 ),
inference(rat,[],[s135,s8,s16,s139,s168,s102,s85,s83,s167,s34,s162]) ).
cnf(s170,plain,
( spl0_13
| ~ spl0_17
| ~ spl0_5 ),
inference(rat,[],[s135,s103,s6,s14,s167,s34]) ).
cnf(s171,plain,
( spl0_12
| ~ spl0_17
| ~ spl0_5 ),
inference(rat,[],[s54,s103,s5,s13,s167,s170,s34]) ).
cnf(s172,plain,
( ~ spl0_17
| ~ spl0_5 ),
inference(rat,[],[s54,s103,s3,s11,s169,s160,s171,s170,s167,s34]) ).
cnf(s173,plain,
~ spl0_5,
inference(rat,[],[s102,s86,s139,s160,s21,s22,s24,s25,s172,s162]) ).
cnf(s174,plain,
( spl0_26
| ~ spl0_17
| ~ spl0_20
| ~ spl0_18 ),
inference(rat,[],[s135,s8,s16,s139,s168,s34]) ).
cnf(s175,plain,
( ~ spl0_17
| ~ spl0_20
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s64,s77,s96,s174,s34]) ).
cnf(s176,plain,
( spl0_17
| ~ spl0_4 ),
inference(rat,[],[s44,s24,s25]) ).
cnf(s177,plain,
( spl0_13
| spl0_20
| ~ spl0_18
| ~ spl0_17 ),
inference(rat,[],[s67,s135,s6,s14,s34,s162]) ).
cnf(s178,plain,
( spl0_20
| ~ spl0_18
| ~ spl0_17 ),
inference(rat,[],[s67,s54,s5,s13,s160,s177,s162,s34]) ).
cnf(s179,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_4 ),
inference(rat,[],[s178,s175]) ).
cnf(s180,plain,
( ~ spl0_17
| ~ spl0_4 ),
inference(rat,[],[s44,s32,s33,s179]) ).
cnf(s181,plain,
~ spl0_4,
inference(rat,[],[s180,s176]) ).
cnf(s182,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_2 ),
inference(rat,[],[s13,s87,s71,s149,s38,s96,s174,s178,s34]) ).
cnf(s183,plain,
( spl0_17
| ~ spl0_2 ),
inference(rat,[],[s36,s21,s22]) ).
cnf(s184,plain,
( ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s36,s29,s30,s182]) ).
cnf(s185,plain,
~ spl0_2,
inference(rat,[],[s184,s183]) ).
cnf(s186,plain,
spl0_1,
inference(rat,[],[s161,s166,s173,s162,s181,s185]) ).
cnf(s187,plain,
( spl0_34
| ~ spl0_20
| ~ spl0_26 ),
inference(rat,[],[s13,s75,s87]) ).
cnf(s188,plain,
( ~ spl0_20
| ~ spl0_17
| ~ spl0_18 ),
inference(rat,[],[s187,s59,s64,s96,s174,s34,s186]) ).
cnf(s189,plain,
( ~ spl0_17
| ~ spl0_18 ),
inference(rat,[],[s188,s178]) ).
cnf(s190,plain,
spl0_17,
inference(rat,[],[s63,s18,s19,s20,s186]) ).
cnf(s191,plain,
~ spl0_18,
inference(rat,[],[s189,s190]) ).
cnf(s196,plain,
spl0_11,
inference(rat,[],[s28,s191]) ).
cnf(s197,plain,
spl0_10,
inference(rat,[],[s27,s191]) ).
cnf(s198,plain,
spl0_8,
inference(rat,[],[s26,s191]) ).
cnf(s202,plain,
$false,
inference(rat,[],[s63,s198,s186,s196,s197]) ).
fof(f1306,plain,
$false,
inference(avatar_sat_refutation,[],[s202]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP343-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n017.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 09:50:04 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 3.03/1.39 % (2296923)Input is clausal, will run a generic CNF schedule.
% 3.03/1.39 % (2297035)dis-21_1_sil=8000:lcm=predicate:random_seed=3666722328: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)
% 3.03/1.39 % (2297035)Refutation not found, incomplete strategy
% 3.03/1.39 % (2297035)------------------------------
% 3.03/1.39 % (2297035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.39 % (2297035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.39 % (2297035)CaDiCaL version: 2.1.3
% 3.03/1.39 % (2297035)Termination reason: Refutation not found, incomplete strategy
% 3.03/1.39 % (2297035)Time elapsed: 0.001 s
% 3.03/1.39 % (2297035)Peak memory usage: 88 MB
% 3.03/1.39 % (2297035)Instructions burned: 2 (million)
% 3.03/1.39 % (2297032)lrs+10_1_sil=8000:sp=occurrence:random_seed=3849411864:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.03/1.39 % (2297031)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=958361372:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.03/1.39 % (2297033)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3765291644:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.03/1.39 % (2297029)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=3875517030:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.03/1.39 % (2297030)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3966164464:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.03/1.39 % (2297032)Instruction limit reached!
% 3.03/1.39 % (2297032)------------------------------
% 3.03/1.39 % (2297032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.39 % (2297032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.39 % (2297032)CaDiCaL version: 2.1.3
% 3.03/1.39 % (2297032)Termination reason: Instruction limit
% 3.03/1.39 % (2297032)Termination phase: Saturation
% 3.03/1.39 % (2297032)Time elapsed: 0.069 s
% 3.03/1.39 % (2297032)Peak memory usage: 89 MB
% 3.03/1.39 % (2297032)Instructions burned: 108 (million)
% 3.03/1.39 % (2297034)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2456372275:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.03/1.39 % (2297033)Instruction limit reached!
% 3.03/1.39 % (2297033)------------------------------
% 3.03/1.39 % (2297033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.39 % (2297033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.39 % (2297033)CaDiCaL version: 2.1.3
% 3.03/1.39 % (2297033)Termination reason: Instruction limit
% 3.03/1.39 % (2297033)Termination phase: Saturation
% 3.03/1.39 % (2297033)Time elapsed: 0.081 s
% 3.03/1.39 % (2297033)Peak memory usage: 89 MB
% 3.03/1.39 % (2297033)Instructions burned: 115 (million)
% 3.03/1.39 % (2297034)First to succeed.
% 3.03/1.39 % (2297034)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2296923"
% 3.03/1.39 % (2297035)------------------------------
% 3.03/1.39 % (2297035)------------------------------
% 3.03/1.39 % (2297070)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=4165456354:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.03/1.39 % (2297072)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3415714301: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)
% 3.03/1.39 % (2297085)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3414148407:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 3.03/1.39 % (2297070)Instruction limit reached!
% 3.03/1.39 % (2297070)------------------------------
% 3.03/1.39 % (2297070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.39 % (2297070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.39 % (2297070)CaDiCaL version: 2.1.3
% 3.03/1.39 % (2297070)Termination reason: Instruction limit
% 3.03/1.39 % (2297070)Termination phase: Saturation
% 3.03/1.39 % (2297070)Time elapsed: 0.081 s
% 3.03/1.39 % (2297070)Peak memory usage: 90 MB
% 3.03/1.39 % (2297070)Instructions burned: 145 (million)
% 3.03/1.39 % (2297085)Instruction limit reached!
% 3.03/1.39 % (2297085)------------------------------
% 3.03/1.39 % (2297085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.39 % (2297085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.39 % (2297085)CaDiCaL version: 2.1.3
% 3.03/1.39 % (2297085)Termination reason: Instruction limit
% 3.03/1.39 % (2297085)Termination phase: Saturation
% 3.03/1.39 % (2297085)Time elapsed: 0.064 s
% 3.03/1.39 % (2297085)Peak memory usage: 90 MB
% 3.03/1.39 % (2297085)Instructions burned: 221 (million)
% 3.03/1.39 % (2297072)Instruction limit reached!
% 3.03/1.39 % (2297072)------------------------------
% 3.03/1.39 % (2297072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.39 % (2297072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.39 % (2297072)CaDiCaL version: 2.1.3
% 3.03/1.39 % (2297072)Termination reason: Instruction limit
% 3.03/1.39 % (2297072)Termination phase: Saturation
% 3.03/1.39 % (2297072)Time elapsed: 0.111 s
% 3.03/1.39 % (2297072)Peak memory usage: 90 MB
% 3.03/1.39 % (2297072)Instructions burned: 189 (million)
% 3.03/1.39 % (2297034)Refutation found. Thanks to Tanya!
% 3.03/1.39 % SZS status Unsatisfiable for theBenchmark
% 3.03/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 4.31/1.59 % (2297034)------------------------------
% 4.31/1.59 % (2297034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.31/1.59 % (2297034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.31/1.59 % (2297034)CaDiCaL version: 2.1.3
% 4.31/1.59 % (2297034)Termination reason: Refutation
% 4.31/1.59 % (2297034)Time elapsed: 0.030 s
% 4.31/1.59 % (2297034)Peak memory usage: 90 MB
% 4.31/1.59 % (2297034)Instructions burned: 46 (million)
% 4.31/1.59 % (2297034)------------------------------
% 4.31/1.59 % (2297034)------------------------------
% 4.31/1.59 % (2296923)Success in time 0.529 s
% 4.31/1.59 % Vampire exiting
%------------------------------------------------------------------------------