%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP343-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:32 AM UTC 2026
% Result : Unsatisfiable 0.38s 0.47s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 56
% Syntax : Number of formulae : 373 ( 21 unt; 23 def)
% Number of atoms : 1225 ( 341 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 1625 ( 773 ~; 829 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
multiply(sk_c8,sk_c9) = sk_c7,
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f18]) ).
fof(f22,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f38,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c3,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c2)
| inverse(sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f64,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| inverse(sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/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/sandbox2/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_c8 != multiply(X2,sk_c9)
| sk_c9 != inverse(X2) )
| ~ 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 != inverse(X1)
| sk_c8 != multiply(X1,sk_c7) )
| ~ 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(f102,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f103,plain,
( sk_c8 != multiply(sk_c2,sk_c7)
| spl0_9 ),
inference(avatar_component_clause,[],[f102]) ).
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(f115,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f65,f102,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(f143,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f49,f138,f112]) ).
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(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(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(f182,plain,
( sk_c8 != sk_c9
| sk_c8 != inverse(identity)
| ~ spl0_2 ),
inference(superposition,[],[f78,f1]) ).
fof(f184,definition,
( spl0_19
<=> sk_c8 = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f186,plain,
( sk_c8 != inverse(identity)
| spl0_19 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f188,definition,
( spl0_20
<=> sk_c8 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f189,plain,
( sk_c8 = sk_c9
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f190,plain,
( sk_c8 != sk_c9
| spl0_20 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f191,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f182,f77,f188,f184]) ).
fof(f193,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_18 ),
inference(superposition,[],[f3,f164]) ).
fof(f195,plain,
( identity = multiply(sk_c5,sk_c6)
| ~ spl0_11 ),
inference(superposition,[],[f3,f114]) ).
fof(f196,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_10 ),
inference(superposition,[],[f3,f109]) ).
fof(f197,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_16 ),
inference(superposition,[],[f3,f140]) ).
fof(f204,definition,
( spl0_22
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f205,plain,
( identity = sk_c9
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f206,plain,
( identity != sk_c9
| spl0_22 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f210,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f152]) ).
fof(f214,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c9,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f135]) ).
fof(f219,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f210,f1]) ).
fof(f222,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
| ~ spl0_18 ),
inference(superposition,[],[f4,f193]) ).
fof(f223,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
| ~ spl0_18 ),
inference(forward_demodulation,[],[f222,f1]) ).
fof(f239,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f223,f152]) ).
fof(f249,plain,
( multiply(sk_c9,sk_c9) = multiply(sk_c1,sk_c7)
| ~ spl0_7
| ~ spl0_17 ),
inference(superposition,[],[f213,f94]) ).
fof(f255,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f249,f239]) ).
fof(f257,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| ~ spl0_7
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f223,f255]) ).
fof(f279,definition,
( spl0_24
<=> sk_c9 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f280,plain,
( sk_c9 = sk_c7
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f350,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_7 ),
inference(superposition,[],[f219,f94]) ).
fof(f364,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_15 ),
inference(superposition,[],[f219,f135]) ).
fof(f372,plain,
( sk_c6 = multiply(inverse(sk_c5),identity)
| ~ spl0_11 ),
inference(superposition,[],[f219,f195]) ).
fof(f373,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f219,f104]) ).
fof(f379,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_16 ),
inference(forward_demodulation,[],[f373,f140]) ).
fof(f380,plain,
( sk_c6 = multiply(sk_c9,identity)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f372,f109]) ).
fof(f385,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f364,f130]) ).
fof(f390,plain,
( multiply(sk_c1,sk_c7) = multiply(sk_c9,sk_c8)
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f213,f379]) ).
fof(f400,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f390,f257]) ).
fof(f402,plain,
( sk_c8 = sk_c7
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f400,f255]) ).
fof(f426,plain,
( multiply(sk_c3,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f214,f385]) ).
fof(f430,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f219,f385]) ).
fof(f433,plain,
( identity = sk_c8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f430,f3]) ).
fof(f435,plain,
( sk_c7 = multiply(sk_c3,sk_c9)
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f426,f379]) ).
fof(f440,plain,
( sk_c8 = sk_c7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f435,f135]) ).
fof(f453,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f350,f402]) ).
fof(f454,plain,
( identity = sk_c9
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f453,f3]) ).
fof(f457,plain,
( spl0_22
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f454,f162,f150,f138,f102,f93,f204]) ).
fof(f463,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f193,f205]) ).
fof(f464,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_10
| ~ spl0_22 ),
inference(superposition,[],[f196,f205]) ).
fof(f473,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(superposition,[],[f380,f205]) ).
fof(f474,plain,
( identity = sk_c6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f473,f1]) ).
fof(f482,plain,
( identity = sk_c5
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[],[f464,f1]) ).
fof(f483,plain,
( identity = sk_c1
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f463,f1]) ).
fof(f493,plain,
( sk_c9 = inverse(identity)
| ~ spl0_10
| ~ spl0_22 ),
inference(superposition,[],[f109,f482]) ).
fof(f494,plain,
( identity = inverse(identity)
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[],[f493,f205]) ).
fof(f504,plain,
( sk_c9 = multiply(identity,sk_c8)
| ~ spl0_17
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f152,f483]) ).
fof(f505,plain,
( sk_c9 = inverse(identity)
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f164,f483]) ).
fof(f514,plain,
( identity = inverse(identity)
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f505,f205]) ).
fof(f515,plain,
( sk_c8 = sk_c9
| ~ spl0_17
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f504,f1]) ).
fof(f518,plain,
( $false
| ~ spl0_17
| ~ spl0_18
| spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f515,f190]) ).
fof(f519,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f521,plain,
( ! [X4] :
( identity != inverse(inverse(X4))
| inverse(X4) != multiply(X4,sk_c9) )
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f75,f205]) ).
fof(f522,plain,
( identity = sk_c8
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f189,f205]) ).
fof(f525,plain,
( ! [X4] :
( inverse(X4) != multiply(X4,identity)
| identity != inverse(inverse(X4)) )
| ~ spl0_1
| ~ spl0_22 ),
inference(forward_demodulation,[],[f521,f205]) ).
fof(f526,plain,
( identity != inverse(identity)
| identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f525,f1]) ).
fof(f536,definition,
( spl0_28
<=> identity = inverse(inverse(identity)) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f538,plain,
( identity != inverse(inverse(identity))
| spl0_28 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f541,definition,
( spl0_29
<=> identity = inverse(identity) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f542,plain,
( identity = inverse(identity)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f554,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f197,f522]) ).
fof(f569,plain,
( identity = sk_c2
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f554,f1]) ).
fof(f586,plain,
( sk_c8 = inverse(identity)
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f140,f569]) ).
fof(f587,plain,
( $false
| ~ spl0_16
| spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f586,f186]) ).
fof(f588,plain,
( ~ spl0_16
| spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f587]) ).
fof(f596,plain,
( identity = inverse(identity)
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f586,f522]) ).
fof(f599,plain,
( spl0_29
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f596,f204,f188,f138,f541]) ).
fof(f603,plain,
( identity != inverse(identity)
| spl0_28
| ~ spl0_29 ),
inference(superposition,[],[f538,f542]) ).
fof(f607,plain,
( $false
| spl0_28
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f603,f542]) ).
fof(f608,plain,
( spl0_28
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f607]) ).
fof(f609,plain,
( ! [X2] :
( sk_c8 != multiply(X2,identity)
| sk_c9 != inverse(X2) )
| ~ spl0_4
| ~ spl0_22 ),
inference(forward_demodulation,[],[f85,f205]) ).
fof(f612,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| sk_c9 != inverse(X2) )
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f609,f522]) ).
fof(f614,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| identity != inverse(X2) )
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f612,f205]) ).
fof(f625,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f614,f3]) ).
fof(f626,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f625]) ).
fof(f628,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_demodulation,[],[f626,f542]) ).
fof(f631,plain,
( $false
| ~ spl0_4
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f628,f542]) ).
fof(f632,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f633,plain,
( ! [X1] :
( identity != inverse(X1)
| sk_c8 != multiply(X1,sk_c7) )
| ~ spl0_5
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f88,f522]) ).
fof(f634,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| identity != inverse(X1) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f633,f402]) ).
fof(f635,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f634,f522]) ).
fof(f638,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f635,f3]) ).
fof(f639,plain,
( identity != inverse(inverse(identity))
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f638]) ).
fof(f641,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_demodulation,[],[f639,f542]) ).
fof(f644,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f641,f542]) ).
fof(f645,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f646,plain,
( ! [X0] :
( identity != inverse(X0)
| sk_c9 != multiply(X0,sk_c8) )
| ~ spl0_6
| ~ spl0_22 ),
inference(forward_demodulation,[],[f91,f205]) ).
fof(f647,plain,
( ! [X0] :
( sk_c9 != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_6
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f646,f522]) ).
fof(f648,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| identity != inverse(X0) )
| ~ spl0_6
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f647,f205]) ).
fof(f655,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f648,f3]) ).
fof(f656,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6
| ~ spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f655]) ).
fof(f658,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_demodulation,[],[f656,f542]) ).
fof(f661,plain,
( $false
| ~ spl0_6
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f658,f542]) ).
fof(f662,plain,
( ~ spl0_6
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f661]) ).
fof(f663,plain,
( sk_c8 != multiply(sk_c9,sk_c8)
| spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f82,f402]) ).
fof(f664,plain,
( sk_c8 != sk_c7
| spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f663,f257]) ).
fof(f665,plain,
( $false
| spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f664,f402]) ).
fof(f666,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f665]) ).
fof(f677,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_12 ),
inference(superposition,[],[f3,f119]) ).
fof(f708,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f81,f189]) ).
fof(f715,plain,
( sk_c7 = multiply(identity,sk_c9)
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f94,f433]) ).
fof(f725,plain,
( sk_c9 = sk_c7
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f715,f1]) ).
fof(f726,plain,
( spl0_24
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f725,f133,f128,f93,f279]) ).
fof(f728,plain,
( identity = sk_c7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f440,f433]) ).
fof(f739,plain,
( identity = sk_c9
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24 ),
inference(forward_demodulation,[],[f280,f728]) ).
fof(f740,plain,
( spl0_22
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f739,f279,f138,f133,f128,f102,f204]) ).
fof(f746,plain,
( spl0_29
| ~ spl0_10
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f494,f204,f107,f541]) ).
fof(f747,plain,
( spl0_29
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f514,f204,f162,f541]) ).
fof(f748,plain,
( ~ spl0_28
| ~ spl0_29
| ~ spl0_1
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f526,f204,f74,f541,f536]) ).
fof(f755,plain,
( ! [X1] :
( sk_c8 != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f633,f728]) ).
fof(f759,plain,
( identity = sk_c9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f189,f433]) ).
fof(f768,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f755,f433]) ).
fof(f771,plain,
( spl0_22
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f759,f188,f133,f128,f204]) ).
fof(f808,plain,
( sk_c5 = inverse(identity)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(superposition,[],[f114,f474]) ).
fof(f809,plain,
( identity = inverse(identity)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(forward_demodulation,[],[f808,f482]) ).
fof(f812,plain,
( spl0_29
| ~ spl0_10
| ~ spl0_11
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f809,f204,f112,f107,f541]) ).
fof(f814,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f768,f1]) ).
fof(f818,plain,
( identity != inverse(identity)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f814]) ).
fof(f820,plain,
( ~ spl0_29
| ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f818,f204,f188,f138,f133,f128,f102,f87,f541]) ).
fof(f821,plain,
( sk_c8 != multiply(identity,sk_c7)
| spl0_9
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f103,f569]) ).
fof(f824,plain,
( ! [X1] :
( identity != multiply(X1,sk_c7)
| identity != inverse(X1) )
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f633,f433]) ).
fof(f828,plain,
( identity = multiply(identity,sk_c7)
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f708,f433]) ).
fof(f832,plain,
( sk_c8 != sk_c7
| spl0_9
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f821,f1]) ).
fof(f834,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f828,f1]) ).
fof(f836,plain,
( identity != sk_c7
| spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f832,f433]) ).
fof(f837,plain,
( $false
| ~ spl0_3
| spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f836,f834]) ).
fof(f838,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f837]) ).
fof(f842,plain,
( ! [X1] :
( identity != multiply(X1,identity)
| identity != inverse(X1) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f824,f834]) ).
fof(f844,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f842,f1]) ).
fof(f848,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22 ),
inference(trivial_inequality_removal,[],[f844]) ).
fof(f850,plain,
( ~ spl0_29
| ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f848,f204,f188,f133,f128,f87,f80,f541]) ).
fof(f852,plain,
( identity != sk_c9
| ~ spl0_14
| ~ spl0_15
| spl0_20 ),
inference(forward_demodulation,[],[f190,f433]) ).
fof(f855,plain,
( ~ spl0_22
| ~ spl0_14
| ~ spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f852,f188,f133,f128,f204]) ).
fof(f885,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f677,f433]) ).
fof(f886,plain,
( identity = sk_c4
| ~ spl0_12
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f885,f1]) ).
fof(f889,plain,
( sk_c9 = multiply(identity,sk_c8)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f124,f886]) ).
fof(f890,plain,
( sk_c8 = sk_c9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f889,f1]) ).
fof(f893,plain,
( identity = sk_c9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f890,f433]) ).
fof(f895,plain,
( $false
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_22 ),
inference(forward_subsumption_resolution,[],[f893,f206]) ).
fof(f896,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_22 ),
inference(avatar_contradiction_clause,[],[f895]) ).
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(s4,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f115]) ).
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(s12,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f143]) ).
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(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(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(s37,plain,
( ~ spl0_2
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f191]) ).
cnf(s46,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| spl0_22 ),
inference(sat_conversion,[],[f457]) ).
cnf(s49,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f519]) ).
cnf(s54,plain,
( ~ spl0_16
| spl0_19
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f588]) ).
cnf(s57,plain,
( ~ spl0_16
| ~ spl0_20
| ~ spl0_22
| spl0_29 ),
inference(sat_conversion,[],[f599]) ).
cnf(s59,plain,
( spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f608]) ).
cnf(s62,plain,
( ~ spl0_4
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(sat_conversion,[],[f632]) ).
cnf(s64,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(sat_conversion,[],[f645]) ).
cnf(s67,plain,
( ~ spl0_6
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(sat_conversion,[],[f662]) ).
cnf(s68,plain,
( spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f666]) ).
cnf(s71,plain,
( ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| spl0_24 ),
inference(sat_conversion,[],[f726]) ).
cnf(s72,plain,
( ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_22
| ~ spl0_24 ),
inference(sat_conversion,[],[f740]) ).
cnf(s74,plain,
( ~ spl0_10
| ~ spl0_22
| spl0_29 ),
inference(sat_conversion,[],[f746]) ).
cnf(s75,plain,
( ~ spl0_18
| ~ spl0_22
| spl0_29 ),
inference(sat_conversion,[],[f747]) ).
cnf(s76,plain,
( ~ spl0_1
| ~ spl0_22
| ~ spl0_28
| ~ spl0_29 ),
inference(sat_conversion,[],[f748]) ).
cnf(s86,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f771]) ).
cnf(s90,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_22
| spl0_29 ),
inference(sat_conversion,[],[f812]) ).
cnf(s92,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(sat_conversion,[],[f820]) ).
cnf(s93,plain,
( ~ spl0_3
| spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f838]) ).
cnf(s95,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20
| ~ spl0_22
| ~ spl0_29 ),
inference(sat_conversion,[],[f850]) ).
cnf(s97,plain,
( ~ spl0_14
| ~ spl0_15
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f855]) ).
cnf(s99,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_22 ),
inference(sat_conversion,[],[f896]) ).
cnf(s100,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(rat,[],[s1,s34]) ).
cnf(s101,plain,
spl0_3,
inference(rat,[],[s68,s7,s15,s23,s31,s34]) ).
cnf(s103,plain,
( ~ spl0_18
| ~ spl0_17
| ~ spl0_16
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s67,s49,s75,s46,s34]) ).
cnf(s104,plain,
( spl0_18
| ~ spl0_6 ),
inference(rat,[],[s67,s97,s90,s99,s27,s28,s29,s30,s32,s33]) ).
cnf(s105,plain,
( spl0_17
| ~ spl0_6 ),
inference(rat,[],[s67,s97,s90,s99,s19,s20,s21,s22,s24,s25]) ).
cnf(s106,plain,
( spl0_16
| ~ spl0_6 ),
inference(rat,[],[s67,s49,s90,s99,s11,s12,s13,s14,s16,s17,s104,s105]) ).
cnf(s107,plain,
( ~ spl0_16
| ~ spl0_6
| ~ spl0_18
| ~ spl0_17 ),
inference(rat,[],[s93,s49,s99,s5,s6,s8,s9,s103,s101]) ).
cnf(s108,plain,
~ spl0_6,
inference(rat,[],[s107,s106,s105,s104]) ).
cnf(s109,plain,
( ~ spl0_18
| ~ spl0_17
| ~ spl0_16
| ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s64,s49,s75,s46,s34]) ).
cnf(s110,plain,
( spl0_18
| ~ spl0_16
| ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s92,s97,s90,s99,s27,s28,s29,s30,s32,s33]) ).
cnf(s111,plain,
( ~ spl0_18
| ~ spl0_16
| ~ spl0_5
| ~ spl0_9 ),
inference(rat,[],[s92,s97,s90,s99,s19,s20,s21,s22,s24,s25,s109]) ).
cnf(s112,plain,
( ~ spl0_16
| ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s111,s110]) ).
cnf(s113,plain,
( spl0_16
| ~ spl0_5 ),
inference(rat,[],[s95,s97,s90,s99,s11,s12,s13,s14,s16,s17,s101]) ).
cnf(s114,plain,
( ~ spl0_16
| ~ spl0_5 ),
inference(rat,[],[s95,s97,s90,s99,s3,s4,s5,s6,s8,s9,s112,s101]) ).
cnf(s115,plain,
~ spl0_5,
inference(rat,[],[s114,s113]) ).
cnf(s116,plain,
( ~ spl0_22
| ~ spl0_20
| ~ spl0_16
| ~ spl0_4 ),
inference(rat,[],[s62,s57]) ).
cnf(s117,plain,
( spl0_17
| spl0_22
| ~ spl0_20 ),
inference(rat,[],[s86,s24,s25]) ).
cnf(s118,plain,
( ~ spl0_20
| ~ spl0_16
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s86,s32,s33,s46,s117,s116,s34]) ).
cnf(s119,plain,
( spl0_17
| spl0_22
| ~ spl0_16
| ~ spl0_9 ),
inference(rat,[],[s72,s71,s24,s25,s34]) ).
cnf(s120,plain,
( ~ spl0_17
| spl0_22
| ~ spl0_9
| ~ spl0_16 ),
inference(rat,[],[s72,s71,s32,s33,s46,s34]) ).
cnf(s121,plain,
( spl0_22
| ~ spl0_16
| ~ spl0_9 ),
inference(rat,[],[s120,s119]) ).
cnf(s122,plain,
( spl0_17
| ~ spl0_22
| spl0_20 ),
inference(rat,[],[s97,s24,s25]) ).
cnf(s123,plain,
( ~ spl0_17
| spl0_20
| ~ spl0_22 ),
inference(rat,[],[s97,s32,s33,s49]) ).
cnf(s124,plain,
( ~ spl0_22
| spl0_20 ),
inference(rat,[],[s123,s122]) ).
cnf(s125,plain,
( ~ spl0_16
| ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s124,s121,s118]) ).
cnf(s126,plain,
( spl0_16
| ~ spl0_4 ),
inference(rat,[],[s62,s124,s90,s99,s11,s12,s13,s14,s16,s17]) ).
cnf(s127,plain,
( ~ spl0_22
| ~ spl0_14
| spl0_9
| ~ spl0_16
| ~ spl0_15 ),
inference(rat,[],[s124,s93,s101]) ).
cnf(s128,plain,
( ~ spl0_16
| ~ spl0_4 ),
inference(rat,[],[s127,s99,s5,s6,s8,s9,s125]) ).
cnf(s129,plain,
~ spl0_4,
inference(rat,[],[s128,s126]) ).
cnf(s130,plain,
( spl0_9
| ~ spl0_2 ),
inference(rat,[],[s36,s5,s6]) ).
cnf(s131,plain,
( spl0_16
| ~ spl0_2 ),
inference(rat,[],[s36,s13,s14]) ).
cnf(s132,plain,
~ spl0_2,
inference(rat,[],[s37,s54,s124,s121,s131,s130]) ).
cnf(s133,plain,
spl0_1,
inference(rat,[],[s100,s108,s101,s115,s129,s132]) ).
cnf(s134,plain,
( spl0_9
| spl0_22 ),
inference(rat,[],[s99,s5,s6,s8,s9]) ).
cnf(s135,plain,
( ~ spl0_9
| spl0_22 ),
inference(rat,[],[s99,s13,s14,s16,s17,s121]) ).
cnf(s136,plain,
spl0_22,
inference(rat,[],[s135,s134]) ).
cnf(s138,plain,
~ spl0_29,
inference(rat,[],[s76,s59,s133,s136]) ).
cnf(s139,plain,
~ spl0_18,
inference(rat,[],[s75,s136,s138]) ).
cnf(s140,plain,
~ spl0_10,
inference(rat,[],[s74,s136,s138]) ).
cnf(s150,plain,
$false,
inference(rat,[],[s27,s139,s140]) ).
fof(f898,plain,
$false,
inference(avatar_sat_refutation,[],[s150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP343-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n007.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:52:39 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.47 % (1167302)Will run a generic schedule for satisfiability detection.
% 0.38/0.47 % (1167312)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2200533154:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.38/0.47 % (1167307)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2490101539_2999 on theBenchmark for (2999ds/0Mi)
% 0.38/0.47 % (1167309)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=87075641:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.38/0.47 % (1167310)dis+10_1_sil=32000:sp=arity:random_seed=1834209184:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.38/0.47 % (1167311)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=458536210:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.38/0.47 % (1167313)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3033734798:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.38/0.47 % TRYING [1]
% 0.38/0.47 % TRYING [2]
% 0.38/0.47 % (1167308)% WARNING: option uhcvi not known.
% 0.38/0.47 % TRYING [3]
% 0.38/0.47 % TRYING [4]
% 0.38/0.47 % (1167308)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=427424400:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.38/0.47 % (1167310) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1167302-1167310"...
% 0.38/0.47 % TRYING [5]
% 0.38/0.47 % (1167311) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1167302-1167311"...
% 0.38/0.47 % (1167310)...printing done.
% 0.38/0.47 % (1167310)Refutation found. Thanks to Tanya!
% 0.38/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.38/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.48 % (1167310)------------------------------
% 0.38/0.48 % (1167310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.48 % (1167310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.48 % (1167310)CaDiCaL version: 2.1.3
% 0.38/0.48 % (1167310)Termination reason: Refutation
% 0.38/0.48 % (1167310)Time elapsed: 0.022 s
% 0.38/0.48 % (1167310)Peak memory usage: 12 MB
% 0.38/0.48 % (1167310)Instructions burned: 33 (million)
% 0.38/0.48 % (1167302)Success in time 0.056 s
% 0.38/0.48 % Vampire exiting
%------------------------------------------------------------------------------