%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP255-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 10:13:27 AM UTC 2026
% Result : Unsatisfiable 2.66s 1.33s
% Output : Refutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 50
% Syntax : Number of formulae : 334 ( 20 unt; 20 def)
% Number of atoms : 1122 ( 296 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1532 ( 744 ~; 768 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c8 = inverse(sk_c1)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c2,sk_c7) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = inverse(sk_c2)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c2) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( inverse(sk_c2) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f44]) ).
fof(f50,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c6 = inverse(sk_c3)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c6 = multiply(sk_c3,sk_c8)
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(reorient_equations,[],[f54]) ).
fof(f60,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c6 = multiply(sk_c3,sk_c8)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c6
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c6 = multiply(sk_c3,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(X1,sk_c7) != sk_c6
| inverse(X1) != sk_c7
| inverse(X2) != sk_c6
| multiply(X2,sk_c8) != sk_c6
| multiply(sk_c7,sk_c8) != sk_c6
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X4) != sk_c7
| multiply(X4,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1)
| sk_c6 != inverse(X2)
| sk_c6 != multiply(X2,sk_c8)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ),
inference(reorient_equations,[],[f64]) ).
fof(f67,definition,
( spl0_1
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f68,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f71,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl0_3
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f74,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f75,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl0_4
<=> ! [X2] :
( sk_c6 != inverse(X2)
| sk_c6 != multiply(X2,sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f78,plain,
( ! [X2] :
( sk_c6 != inverse(X2)
| sk_c6 != multiply(X2,sk_c8) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,definition,
( spl0_5
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c7)
| sk_c7 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f81,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c6 != multiply(X1,sk_c7) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,definition,
( spl0_6
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f84,plain,
( ! [X0] :
( inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f85,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f65,f83,f80,f77,f73,f70,f67]) ).
fof(f87,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f89,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c3,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f93,plain,
( sk_c6 = multiply(sk_c3,sk_c8)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f63,f91,f87]) ).
fof(f96,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f98,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f61,f91,f96]) ).
fof(f101,definition,
( spl0_10
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f103,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f106,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f108,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f110,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f55,f91,f73]) ).
fof(f112,definition,
( spl0_12
<=> sk_c6 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f114,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f53,f112,f87]) ).
fof(f116,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f51,f112,f96]) ).
fof(f119,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f45,f112,f73]) ).
fof(f121,definition,
( spl0_13
<=> sk_c7 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f123,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f43,f121,f87]) ).
fof(f125,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f41,f121,f96]) ).
fof(f126,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f39,f121,f101]) ).
fof(f127,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f37,f121,f106]) ).
fof(f128,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f35,f121,f73]) ).
fof(f130,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f132,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f133,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f33,f130,f87]) ).
fof(f134,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f31,f130,f96]) ).
fof(f135,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f29,f130,f101]) ).
fof(f136,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f27,f130,f106]) ).
fof(f137,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f25,f130,f73]) ).
fof(f139,definition,
( spl0_15
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f141,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f142,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f23,f139,f87]) ).
fof(f143,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f21,f139,f96]) ).
fof(f144,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f19,f139,f101]) ).
fof(f145,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f17,f139,f106]) ).
fof(f146,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f15,f139,f73]) ).
fof(f148,definition,
( spl0_16
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f150,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f13,f148,f87]) ).
fof(f152,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f11,f148,f96]) ).
fof(f153,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f9,f148,f101]) ).
fof(f154,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f7,f148,f106]) ).
fof(f155,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f5,f148,f73]) ).
fof(f156,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f71,f103]) ).
fof(f157,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f156]) ).
fof(f158,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f157,f108]) ).
fof(f159,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f158]) ).
fof(f160,plain,
( sk_c8 != sk_c6
| sk_c8 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f71,f132]) ).
fof(f161,plain,
( sk_c8 != sk_c7
| sk_c8 != sk_c6
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f160,f123]) ).
fof(f163,definition,
( spl0_17
<=> sk_c8 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f164,plain,
( sk_c8 = sk_c6
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f165,plain,
( sk_c8 != sk_c6
| spl0_17 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f167,definition,
( spl0_18
<=> sk_c8 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f168,plain,
( sk_c8 = sk_c7
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f169,plain,
( sk_c8 != sk_c7
| spl0_18 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f161,f130,f121,f70,f167,f163]) ).
fof(f177,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_15 ),
inference(superposition,[],[f3,f141]) ).
fof(f188,definition,
( spl0_21
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f189,plain,
( identity = sk_c8
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f190,plain,
( identity != sk_c8
| spl0_21 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f194,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_16 ),
inference(superposition,[],[f4,f150]) ).
fof(f201,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f194,f1]) ).
fof(f204,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
| ~ spl0_15 ),
inference(superposition,[],[f4,f177]) ).
fof(f205,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_15 ),
inference(forward_demodulation,[],[f204,f1]) ).
fof(f214,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f205,f150]) ).
fof(f224,plain,
( multiply(sk_c1,sk_c8) = multiply(sk_c7,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f195,f214]) ).
fof(f228,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f224,f150]) ).
fof(f304,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f201,f214]) ).
fof(f313,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_7 ),
inference(superposition,[],[f201,f89]) ).
fof(f315,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c6)
| ~ spl0_14 ),
inference(superposition,[],[f201,f132]) ).
fof(f317,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c6)
| ~ spl0_8 ),
inference(superposition,[],[f201,f93]) ).
fof(f323,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f317,f114]) ).
fof(f325,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f315,f123]) ).
fof(f327,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f313,f98]) ).
fof(f330,plain,
( identity = sk_c7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f304,f3]) ).
fof(f349,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f201,f325]) ).
fof(f351,plain,
( identity = sk_c6
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f349,f3]) ).
fof(f353,plain,
( sk_c7 = sk_c6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f351,f330]) ).
fof(f355,plain,
( sk_c8 != sk_c7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_17 ),
inference(superposition,[],[f165,f353]) ).
fof(f359,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f323,f353]) ).
fof(f361,plain,
( sk_c8 = sk_c7
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f359,f228]) ).
fof(f376,plain,
( ~ spl0_18
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f355,f163,f148,f139,f130,f121,f167]) ).
fof(f377,plain,
( spl0_18
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f361,f148,f139,f130,f121,f112,f91,f167]) ).
fof(f385,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c6 != multiply(X2,sk_c8) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f78,f353]) ).
fof(f388,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8) )
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f385,f353]) ).
fof(f391,plain,
( sk_c8 != sk_c7
| multiply(sk_c1,sk_c8) != sk_c7
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f388,f141]) ).
fof(f393,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c3,sk_c8)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f388,f114]) ).
fof(f395,plain,
( sk_c7 != multiply(sk_c3,sk_c8)
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f393,f353]) ).
fof(f396,plain,
( sk_c8 != sk_c7
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f391,f150]) ).
fof(f397,plain,
( sk_c7 != sk_c6
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f395,f93]) ).
fof(f398,plain,
( ~ spl0_18
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f396,f148,f139,f130,f121,f77,f167]) ).
fof(f399,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f397,f353]) ).
fof(f400,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f401,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c7) )
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f81,f353]) ).
fof(f417,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f401,f123]) ).
fof(f419,plain,
( sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f417]) ).
fof(f421,plain,
( sk_c7 != sk_c6
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f419,f132]) ).
fof(f423,plain,
( $false
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f421,f353]) ).
fof(f424,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f425,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f68,f353]) ).
fof(f428,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f425,f123]) ).
fof(f430,plain,
( sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f428]) ).
fof(f432,plain,
( sk_c7 != sk_c6
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f430,f132]) ).
fof(f434,plain,
( $false
| ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f432,f353]) ).
fof(f435,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f434]) ).
fof(f436,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f75,f353]) ).
fof(f439,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f436,f168]) ).
fof(f441,plain,
( $false
| spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f439,f228]) ).
fof(f442,plain,
( spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f447,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c7)
| inverse(X0) != sk_c8 )
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f84,f168]) ).
fof(f449,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c7) )
| ~ spl0_6
| ~ spl0_18 ),
inference(forward_demodulation,[],[f447,f168]) ).
fof(f451,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_18 ),
inference(superposition,[],[f449,f123]) ).
fof(f453,plain,
( sk_c7 != multiply(sk_c2,sk_c7)
| ~ spl0_6
| ~ spl0_13
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f451]) ).
fof(f455,plain,
( sk_c7 != sk_c6
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_18 ),
inference(forward_demodulation,[],[f453,f132]) ).
fof(f457,plain,
( $false
| ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f455,f353]) ).
fof(f458,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f457]) ).
fof(f461,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f103,f168]) ).
fof(f462,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f108,f168]) ).
fof(f463,plain,
( sk_c7 = sk_c6
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f164,f168]) ).
fof(f465,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_18 ),
inference(forward_demodulation,[],[f74,f168]) ).
fof(f466,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f465,f228]) ).
fof(f474,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f3,f98]) ).
fof(f479,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c7)
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f201,f461]) ).
fof(f481,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f479,f462]) ).
fof(f482,plain,
( ! [X1] :
( sk_c7 != inverse(X1)
| sk_c7 != multiply(X1,sk_c7) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f81,f466]) ).
fof(f484,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f482,f462]) ).
fof(f488,plain,
( sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f484]) ).
fof(f490,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f488,f461]) ).
fof(f491,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f497,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f449,f462]) ).
fof(f501,plain,
( sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f497]) ).
fof(f503,plain,
( $false
| ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f501,f461]) ).
fof(f504,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f521,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c6 != multiply(X2,sk_c8) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f78,f466]) ).
fof(f522,plain,
( ! [X2] :
( sk_c6 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f521,f168]) ).
fof(f523,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(X2,sk_c7) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f522,f466]) ).
fof(f526,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f523,f462]) ).
fof(f530,plain,
( sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f526]) ).
fof(f534,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f530,f461]) ).
fof(f535,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f541,plain,
( identity = sk_c7
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f189,f168]) ).
fof(f567,plain,
( sk_c7 != sk_c6
| spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f165,f168]) ).
fof(f572,plain,
( sk_c7 != sk_c7
| sk_c6 != multiply(sk_c5,sk_c7)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f81,f98]) ).
fof(f574,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| ~ spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f572]) ).
fof(f582,plain,
( sk_c7 = multiply(sk_c7,sk_c5)
| ~ spl0_9
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f474,f541]) ).
fof(f585,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_9
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f201,f582]) ).
fof(f587,plain,
( identity = sk_c5
| ~ spl0_9
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f585,f3]) ).
fof(f589,plain,
( sk_c7 = sk_c5
| ~ spl0_9
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_demodulation,[],[f587,f541]) ).
fof(f591,plain,
( sk_c6 != multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_18
| ~ spl0_21 ),
inference(superposition,[],[f574,f589]) ).
fof(f597,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f591,f465]) ).
fof(f598,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_18
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f599,plain,
( identity != sk_c7
| ~ spl0_18
| spl0_21 ),
inference(forward_demodulation,[],[f190,f168]) ).
fof(f625,plain,
( sk_c7 = sk_c6
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f481,f465]) ).
fof(f630,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f201,f481]) ).
fof(f632,plain,
( identity = sk_c7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f630,f3]) ).
fof(f637,plain,
( $false
| ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f625,f567]) ).
fof(f638,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f639,plain,
( $false
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f632,f599]) ).
fof(f640,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| spl0_21 ),
inference(avatar_contradiction_clause,[],[f639]) ).
fof(f641,plain,
( ! [X2] :
( sk_c6 != inverse(X2)
| sk_c6 != multiply(X2,sk_c7) )
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f78,f168]) ).
fof(f645,plain,
( sk_c7 != sk_c6
| sk_c6 != multiply(sk_c4,sk_c7)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f641,f462]) ).
fof(f656,definition,
( spl0_25
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f660,plain,
( sk_c7 != sk_c6
| sk_c7 != sk_c6
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f645,f461]) ).
fof(f661,plain,
( sk_c7 != sk_c6
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(duplicate_literal_removal,[],[f660]) ).
fof(f662,plain,
( ~ spl0_25
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f661,f167,f106,f101,f77,f656]) ).
fof(f665,plain,
( spl0_25
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f463,f167,f163,f656]) ).
fof(f667,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_9 ),
inference(superposition,[],[f68,f98]) ).
fof(f668,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| ~ spl0_1
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f667]) ).
fof(f670,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f668,f89]) ).
fof(f671,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f675,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_3 ),
inference(superposition,[],[f201,f74]) ).
fof(f793,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f201,f327]) ).
fof(f832,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f793,f675]) ).
fof(f838,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f832,f169]) ).
fof(f839,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f838]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f85]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f94]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f99]) ).
cnf(s6,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f110]) ).
cnf(s7,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f115]) ).
cnf(s8,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f116]) ).
cnf(s11,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f119]) ).
cnf(s12,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f124]) ).
cnf(s13,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s14,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f126]) ).
cnf(s15,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f127]) ).
cnf(s16,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s17,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s18,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f134]) ).
cnf(s19,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s20,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s21,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s22,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f142]) ).
cnf(s23,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f143]) ).
cnf(s24,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f144]) ).
cnf(s25,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s26,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s27,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f151]) ).
cnf(s28,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f152]) ).
cnf(s29,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f153]) ).
cnf(s30,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f154]) ).
cnf(s31,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f155]) ).
cnf(s32,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f159]) ).
cnf(s33,plain,
( ~ spl0_2
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f170]) ).
cnf(s41,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f376]) ).
cnf(s42,plain,
( ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f377]) ).
cnf(s50,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f398]) ).
cnf(s51,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f400]) ).
cnf(s52,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f424]) ).
cnf(s53,plain,
( ~ spl0_1
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f435]) ).
cnf(s54,plain,
( spl0_3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f442]) ).
cnf(s55,plain,
( ~ spl0_6
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f458]) ).
cnf(s56,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f491]) ).
cnf(s57,plain,
( ~ spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(sat_conversion,[],[f504]) ).
cnf(s61,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(sat_conversion,[],[f535]) ).
cnf(s64,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_9
| ~ spl0_18
| ~ spl0_21 ),
inference(sat_conversion,[],[f598]) ).
cnf(s66,plain,
( ~ spl0_3
| ~ spl0_10
| ~ spl0_11
| spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f638]) ).
cnf(s67,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| spl0_21 ),
inference(sat_conversion,[],[f640]) ).
cnf(s70,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18
| ~ spl0_25 ),
inference(sat_conversion,[],[f662]) ).
cnf(s71,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_25 ),
inference(sat_conversion,[],[f665]) ).
cnf(s73,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f671]) ).
cnf(s80,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f839]) ).
cnf(s81,plain,
spl0_3,
inference(rat,[],[s42,s54,s6,s11,s16,s21,s26,s31]) ).
cnf(s82,plain,
( spl0_7
| ~ spl0_6 ),
inference(rat,[],[s42,s55,s2,s7,s12,s17,s22,s27]) ).
cnf(s83,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_13
| ~ spl0_12
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s42,s55]) ).
cnf(s84,plain,
( spl0_16
| ~ spl0_6 ),
inference(rat,[],[s80,s57,s28,s29,s30,s82,s81]) ).
cnf(s85,plain,
( spl0_15
| ~ spl0_6 ),
inference(rat,[],[s80,s57,s23,s24,s25,s82,s81]) ).
cnf(s86,plain,
( spl0_14
| ~ spl0_6 ),
inference(rat,[],[s80,s57,s18,s19,s20,s82,s81]) ).
cnf(s87,plain,
( spl0_13
| ~ spl0_6 ),
inference(rat,[],[s80,s57,s13,s14,s15,s82,s81]) ).
cnf(s88,plain,
~ spl0_6,
inference(rat,[],[s83,s3,s8,s80,s55,s87,s86,s85,s84,s82,s81]) ).
cnf(s89,plain,
( spl0_16
| ~ spl0_5 ),
inference(rat,[],[s64,s67,s80,s27,s28,s29,s30,s81]) ).
cnf(s90,plain,
( spl0_15
| ~ spl0_5 ),
inference(rat,[],[s64,s67,s80,s22,s23,s24,s25,s81]) ).
cnf(s91,plain,
( spl0_14
| ~ spl0_5 ),
inference(rat,[],[s80,s56,s17,s18,s19,s20,s89,s90,s81]) ).
cnf(s92,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_5
| ~ spl0_15 ),
inference(rat,[],[s80,s56,s12,s13,s14,s15,s52,s81]) ).
cnf(s93,plain,
~ spl0_5,
inference(rat,[],[s92,s91,s90,s89]) ).
cnf(s94,plain,
( spl0_9
| ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_13
| ~ spl0_4 ),
inference(rat,[],[s51,s3,s8]) ).
cnf(s95,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_13
| ~ spl0_14
| ~ spl0_4 ),
inference(rat,[],[s51,s2,s7,s80,s94,s50,s81]) ).
cnf(s96,plain,
( spl0_16
| ~ spl0_4 ),
inference(rat,[],[s71,s70,s66,s80,s27,s28,s29,s30,s81]) ).
cnf(s97,plain,
( spl0_15
| ~ spl0_4 ),
inference(rat,[],[s71,s70,s66,s80,s22,s23,s24,s25,s81]) ).
cnf(s98,plain,
( spl0_14
| ~ spl0_4 ),
inference(rat,[],[s80,s61,s17,s18,s19,s20,s96,s97,s81]) ).
cnf(s99,plain,
( ~ spl0_14
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16 ),
inference(rat,[],[s80,s61,s12,s13,s14,s15,s95,s81]) ).
cnf(s100,plain,
~ spl0_4,
inference(rat,[],[s99,s98,s97,s96]) ).
cnf(s101,plain,
( spl0_9
| spl0_18
| ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_13 ),
inference(rat,[],[s42,s3,s8]) ).
cnf(s102,plain,
( spl0_18
| ~ spl0_16
| ~ spl0_13
| ~ spl0_15
| ~ spl0_14 ),
inference(rat,[],[s42,s2,s7,s80,s101,s81]) ).
cnf(s103,plain,
( ~ spl0_16
| ~ spl0_15
| ~ spl0_14
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s33,s41,s102]) ).
cnf(s104,plain,
( spl0_16
| ~ spl0_2 ),
inference(rat,[],[s32,s29,s30]) ).
cnf(s105,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s32,s24,s25]) ).
cnf(s106,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s32,s19,s20]) ).
cnf(s107,plain,
( ~ spl0_14
| ~ spl0_2
| ~ spl0_16
| ~ spl0_15 ),
inference(rat,[],[s32,s14,s15,s103]) ).
cnf(s108,plain,
~ spl0_2,
inference(rat,[],[s107,s106,s105,s104]) ).
cnf(s109,plain,
spl0_1,
inference(rat,[],[s1,s88,s93,s81,s100,s108]) ).
cnf(s110,plain,
spl0_16,
inference(rat,[],[s73,s27,s28,s109]) ).
cnf(s111,plain,
spl0_15,
inference(rat,[],[s73,s22,s23,s109]) ).
cnf(s112,plain,
spl0_14,
inference(rat,[],[s73,s17,s18,s109]) ).
cnf(s113,plain,
~ spl0_13,
inference(rat,[],[s53,s110,s111,s109,s112]) ).
cnf(s116,plain,
spl0_9,
inference(rat,[],[s13,s113]) ).
cnf(s117,plain,
spl0_7,
inference(rat,[],[s12,s113]) ).
cnf(s119,plain,
$false,
inference(rat,[],[s73,s109,s116,s117]) ).
fof(f840,plain,
$false,
inference(avatar_sat_refutation,[],[s119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP255-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n002.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 09:45:27 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.66/1.33 % (3299476)Input is clausal, will run a generic CNF schedule.
% 2.66/1.33 % (3299481)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=2306146676:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.66/1.33 % (3299486)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1040202497:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.66/1.33 % (3299484)lrs+10_1_sil=8000:sp=occurrence:random_seed=1326486196:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.66/1.33 % (3299487)dis-21_1_sil=8000:lcm=predicate:random_seed=764150569:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.66/1.33 % (3299483)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=57195852:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.66/1.33 % (3299482)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1422197432:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.66/1.33 % (3299485)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2758747636:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.66/1.33 % (3299487)Refutation not found, incomplete strategy
% 2.66/1.33 % (3299487)------------------------------
% 2.66/1.33 % (3299487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.33 % (3299487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.33 % (3299487)CaDiCaL version: 2.1.3
% 2.66/1.33 % (3299487)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.33 % (3299487)Time elapsed: 0.002 s
% 2.66/1.33 % (3299487)Peak memory usage: 88 MB
% 2.66/1.33 % (3299487)Instructions burned: 1 (million)
% 2.66/1.33 % (3299486)First to succeed.
% 2.66/1.33 % (3299486)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3299476"
% 2.66/1.33 % (3299484)Instruction limit reached!
% 2.66/1.33 % (3299484)------------------------------
% 2.66/1.33 % (3299484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.33 % (3299484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.33 % (3299484)CaDiCaL version: 2.1.3
% 2.66/1.33 % (3299484)Termination reason: Instruction limit
% 2.66/1.33 % (3299484)Termination phase: Saturation
% 2.66/1.33 % (3299484)Time elapsed: 0.052 s
% 2.66/1.33 % (3299484)Peak memory usage: 89 MB
% 2.66/1.33 % (3299484)Instructions burned: 108 (million)
% 2.66/1.33 % (3299485)Instruction limit reached!
% 2.66/1.33 % (3299485)------------------------------
% 2.66/1.33 % (3299485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.33 % (3299485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.33 % (3299485)CaDiCaL version: 2.1.3
% 2.66/1.33 % (3299485)Termination reason: Instruction limit
% 2.66/1.33 % (3299485)Termination phase: Saturation
% 2.66/1.33 % (3299485)Time elapsed: 0.065 s
% 2.66/1.33 % (3299485)Peak memory usage: 89 MB
% 2.66/1.33 % (3299485)Instructions burned: 114 (million)
% 2.66/1.33 % (3299495)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=919952766:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.66/1.33 % (3299496)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1813806430:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.66/1.33 % (3299487)------------------------------
% 2.66/1.33 % (3299487)------------------------------
% 2.66/1.33 % (3299486)Refutation found. Thanks to Tanya!
% 2.66/1.33 % SZS status Unsatisfiable for theBenchmark
% 2.66/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.83/1.53 % (3299486)------------------------------
% 3.83/1.53 % (3299486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.83/1.53 % (3299486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.83/1.53 % (3299486)CaDiCaL version: 2.1.3
% 3.83/1.53 % (3299486)Termination reason: Refutation
% 3.83/1.53 % (3299486)Time elapsed: 0.022 s
% 3.83/1.53 % (3299486)Peak memory usage: 89 MB
% 3.83/1.53 % (3299486)Instructions burned: 33 (million)
% 3.83/1.53 % (3299486)------------------------------
% 3.83/1.53 % (3299486)------------------------------
% 3.83/1.53 % (3299476)Success in time 0.451 s
% 3.83/1.53 % Vampire exiting
%------------------------------------------------------------------------------