%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP336-1 : 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 : n010.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 10:13:40 AM UTC 2026
% Result : Unsatisfiable 2.75s 1.29s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 59
% Syntax : Number of formulae : 343 ( 17 unt; 22 def)
% Number of atoms : 1091 ( 346 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1384 ( 636 ~; 726 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 55 !; 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_c9,sk_c10) = sk_c8
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c9,sk_c10) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f21,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c10) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c10 = inverse(sk_c1)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c10
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c10 = inverse(sk_c1)
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f35]) ).
fof(f41,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c5) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c5,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c10
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f49]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f57]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c2,sk_c3) = sk_c9
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f67]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c3 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f73]) ).
fof(f79,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f80,plain,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( inverse(sk_c2) = sk_c3
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f82,plain,
( sk_c3 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( inverse(sk_c2) = sk_c3
| multiply(sk_c7,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c3 = inverse(sk_c2)
| sk_c9 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f83]) ).
fof(f89,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| multiply(sk_c10,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c9 = multiply(sk_c10,sk_c8) ),
inference(reorient_equations,[],[f89]) ).
fof(f95,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| multiply(sk_c6,sk_c7) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f96,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( multiply(sk_c3,sk_c10) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f98,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f97]) ).
fof(f101,negated_conjecture,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| inverse(X0) != sk_c10
| multiply(X0,sk_c9) != sk_c10
| multiply(X1,X2) != sk_c9
| inverse(X1) != X2
| multiply(X2,sk_c10) != sk_c9
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(sk_c10,sk_c8) != sk_c9
| inverse(X4) != sk_c10
| multiply(X4,sk_c9) != sk_c10
| multiply(X5,X6) != sk_c9
| inverse(X5) != X6
| multiply(X6,sk_c8) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f102,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9)
| multiply(X1,X2) != sk_c9
| inverse(X1) != X2
| sk_c9 != multiply(X2,sk_c10)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c9 != multiply(X6,sk_c8) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,plain,
! [X3,X0,X1,X6,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9)
| sk_c9 != multiply(X1,inverse(X1))
| sk_c9 != multiply(inverse(X1),sk_c10)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X5,X6)
| inverse(X5) != X6
| sk_c9 != multiply(X6,sk_c8) ),
inference(equality_resolution,[],[f102]) ).
fof(f104,plain,
! [X3,X0,X1,X4,X5] :
( multiply(sk_c9,sk_c10) != sk_c8
| inverse(X0) != sk_c10
| sk_c10 != multiply(X0,sk_c9)
| sk_c9 != multiply(X1,inverse(X1))
| sk_c9 != multiply(inverse(X1),sk_c10)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9)
| sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) ),
inference(equality_resolution,[],[f103]) ).
fof(f106,definition,
( spl0_1
<=> ! [X5] :
( sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f107,plain,
( ! [X5] :
( sk_c9 != multiply(X5,inverse(X5))
| sk_c9 != multiply(inverse(X5),sk_c8) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,definition,
( spl0_2
<=> ! [X4] :
( sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f110,plain,
( ! [X4] :
( sk_c10 != inverse(X4)
| sk_c10 != multiply(X4,sk_c9) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,definition,
( spl0_3
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f113,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f116,definition,
( spl0_4
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f117,plain,
( ! [X3] :
( sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,definition,
( spl0_5
<=> ! [X1] :
( sk_c9 != multiply(X1,inverse(X1))
| sk_c9 != multiply(inverse(X1),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f120,plain,
( ! [X1] :
( sk_c9 != multiply(X1,inverse(X1))
| sk_c9 != multiply(inverse(X1),sk_c10) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,definition,
( spl0_6
<=> multiply(sk_c9,sk_c10) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f123,plain,
( multiply(sk_c9,sk_c10) = sk_c8
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f124,plain,
( multiply(sk_c9,sk_c10) != sk_c8
| spl0_6 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f104,f122,f109,f119,f116,f112,f109,f106]) ).
fof(f127,definition,
( spl0_7
<=> sk_c9 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f129,plain,
( sk_c9 = multiply(sk_c7,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f131,definition,
( spl0_8
<=> sk_c9 = multiply(sk_c3,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f133,plain,
( sk_c9 = multiply(sk_c3,sk_c10)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f136,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f138,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f98,f131,f136]) ).
fof(f141,definition,
( spl0_10
<=> sk_c9 = multiply(sk_c6,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f143,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f96,f131,f141]) ).
fof(f146,definition,
( spl0_11
<=> sk_c10 = multiply(sk_c5,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f148,plain,
( sk_c10 = multiply(sk_c5,sk_c9)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f151,definition,
( spl0_12
<=> sk_c10 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f153,plain,
( sk_c10 = inverse(sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f155,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f90,f131,f112]) ).
fof(f157,definition,
( spl0_13
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f159,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f162,definition,
( spl0_14
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f164,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f167,definition,
( spl0_15
<=> sk_c3 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f169,plain,
( sk_c3 = inverse(sk_c2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f84,f167,f127]) ).
fof(f171,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f82,f167,f136]) ).
fof(f172,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f80,f167,f141]) ).
fof(f175,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f74,f167,f112]) ).
fof(f176,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f72,f167,f157]) ).
fof(f179,definition,
( spl0_16
<=> sk_c9 = multiply(sk_c2,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f181,plain,
( sk_c9 = multiply(sk_c2,sk_c3)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f68,f179,f127]) ).
fof(f183,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f66,f179,f136]) ).
fof(f184,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f64,f179,f141]) ).
fof(f187,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f58,f179,f112]) ).
fof(f188,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f56,f179,f157]) ).
fof(f191,definition,
( spl0_17
<=> sk_c10 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f193,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f195,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f50,f191,f136]) ).
fof(f196,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f48,f191,f141]) ).
fof(f197,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f46,f191,f146]) ).
fof(f198,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f44,f191,f151]) ).
fof(f199,plain,
( spl0_3
| spl0_17 ),
inference(avatar_split_clause,[],[f42,f191,f112]) ).
fof(f203,definition,
( spl0_18
<=> sk_c10 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f205,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( spl0_7
| spl0_18 ),
inference(avatar_split_clause,[],[f36,f203,f127]) ).
fof(f207,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f34,f203,f136]) ).
fof(f208,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f32,f203,f141]) ).
fof(f209,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f30,f203,f146]) ).
fof(f210,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f28,f203,f151]) ).
fof(f211,plain,
( spl0_3
| spl0_18 ),
inference(avatar_split_clause,[],[f26,f203,f112]) ).
fof(f212,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f24,f203,f157]) ).
fof(f213,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f22,f203,f162]) ).
fof(f215,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f18,f122,f136]) ).
fof(f216,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f122,f141]) ).
fof(f217,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f122,f146]) ).
fof(f218,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f122,f151]) ).
fof(f219,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f122,f112]) ).
fof(f220,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f122,f157]) ).
fof(f221,plain,
( spl0_14
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f122,f162]) ).
fof(f222,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f3,f138]) ).
fof(f223,plain,
( identity = multiply(sk_c10,sk_c5)
| ~ spl0_12 ),
inference(superposition,[],[f3,f153]) ).
fof(f224,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_13 ),
inference(superposition,[],[f3,f159]) ).
fof(f226,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c10,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f164]) ).
fof(f234,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f226,f1]) ).
fof(f236,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f222]) ).
fof(f237,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f236,f1]) ).
fof(f245,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f237,f143]) ).
fof(f248,plain,
( multiply(sk_c9,sk_c8) = multiply(sk_c4,sk_c9)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f229,f113]) ).
fof(f297,plain,
( sk_c9 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f234,f245]) ).
fof(f301,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_3 ),
inference(superposition,[],[f234,f113]) ).
fof(f302,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c9)
| ~ spl0_7 ),
inference(superposition,[],[f234,f129]) ).
fof(f303,plain,
( sk_c4 = multiply(inverse(sk_c10),identity)
| ~ spl0_13 ),
inference(superposition,[],[f234,f224]) ).
fof(f304,plain,
( sk_c5 = multiply(inverse(sk_c10),identity)
| ~ spl0_12 ),
inference(superposition,[],[f234,f223]) ).
fof(f305,plain,
( sk_c6 = multiply(inverse(sk_c7),identity)
| ~ spl0_9 ),
inference(superposition,[],[f234,f222]) ).
fof(f312,plain,
( identity = sk_c9
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f297,f3]) ).
fof(f317,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f1,f312]) ).
fof(f327,plain,
( sk_c10 != sk_c8
| spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f124,f317]) ).
fof(f331,plain,
( sk_c4 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f303,f312]) ).
fof(f332,plain,
( sk_c8 = sk_c4
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f331,f301]) ).
fof(f336,plain,
( sk_c10 = inverse(sk_c8)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f159,f332]) ).
fof(f339,plain,
( sk_c5 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f304,f312]) ).
fof(f340,plain,
( sk_c8 = sk_c5
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f339,f301]) ).
fof(f344,plain,
( sk_c10 = multiply(sk_c8,sk_c9)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f148,f340]) ).
fof(f348,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c9)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f305,f312]) ).
fof(f349,plain,
( sk_c8 = sk_c6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f348,f302]) ).
fof(f354,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f138,f349]) ).
fof(f358,plain,
( multiply(sk_c9,sk_c8) = multiply(sk_c8,sk_c9)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f248,f332]) ).
fof(f359,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f358,f317]) ).
fof(f373,plain,
( sk_c10 = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f354,f336]) ).
fof(f406,plain,
( sk_c10 = sk_c8
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f344,f359]) ).
fof(f418,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f406,f327]) ).
fof(f419,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f418]) ).
fof(f421,plain,
( sk_c10 = sk_c8
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f123,f317]) ).
fof(f422,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f113,f421]) ).
fof(f435,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f117,f159]) ).
fof(f439,plain,
( sk_c9 != multiply(sk_c4,sk_c10)
| ~ spl0_4
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f435]) ).
fof(f443,plain,
( $false
| ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f439,f164]) ).
fof(f444,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f443]) ).
fof(f476,plain,
( sk_c10 != sk_c3
| sk_c9 != multiply(sk_c2,sk_c10)
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f117,f169]) ).
fof(f481,definition,
( spl0_19
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f485,definition,
( spl0_20
<=> sk_c10 = sk_c3 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f486,plain,
( sk_c10 = sk_c3
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f488,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_4
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f476,f167,f116,f485,f481]) ).
fof(f489,plain,
( sk_c10 != sk_c10
| sk_c9 != multiply(sk_c1,sk_c10)
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f117,f205]) ).
fof(f491,plain,
( identity = multiply(sk_c10,sk_c1)
| ~ spl0_18 ),
inference(superposition,[],[f3,f205]) ).
fof(f492,plain,
( sk_c9 != multiply(sk_c1,sk_c10)
| ~ spl0_4
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f489]) ).
fof(f493,plain,
( sk_c9 = multiply(sk_c10,sk_c1)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f491,f312]) ).
fof(f495,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c10,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f133]) ).
fof(f504,plain,
( sk_c3 = multiply(inverse(sk_c2),sk_c9)
| ~ spl0_16 ),
inference(superposition,[],[f234,f181]) ).
fof(f507,plain,
( sk_c3 = multiply(sk_c3,sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f504,f169]) ).
fof(f508,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_17 ),
inference(superposition,[],[f234,f193]) ).
fof(f509,plain,
( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c1,multiply(sk_c9,X0))
| ~ spl0_17 ),
inference(superposition,[],[f4,f193]) ).
fof(f511,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f508,f205]) ).
fof(f519,definition,
( spl0_21
<=> sk_c10 = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f520,plain,
( sk_c10 = sk_c7
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f523,definition,
( spl0_22
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f524,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f533,plain,
( spl0_22
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f422,f141,f136,f122,f112,f523]) ).
fof(f548,plain,
( sk_c1 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f234,f493]) ).
fof(f551,plain,
( sk_c8 = sk_c1
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f548,f301]) ).
fof(f552,plain,
( sk_c10 = sk_c1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f551,f421]) ).
fof(f554,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(superposition,[],[f492,f552]) ).
fof(f557,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f554,f524]) ).
fof(f558,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f557]) ).
fof(f578,plain,
( sk_c9 = multiply(inverse(sk_c3),sk_c3)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f234,f507]) ).
fof(f580,plain,
( identity = sk_c9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f578,f3]) ).
fof(f590,plain,
( spl0_22
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f511,f203,f191,f523]) ).
fof(f594,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f123]) ).
fof(f595,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_22 ),
inference(superposition,[],[f234,f524]) ).
fof(f596,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c10,multiply(sk_c10,X0))
| ~ spl0_22 ),
inference(superposition,[],[f4,f524]) ).
fof(f598,plain,
( sk_c9 = multiply(sk_c10,sk_c1)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f491,f580]) ).
fof(f601,plain,
( sk_c1 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f234,f598]) ).
fof(f603,plain,
( multiply(sk_c9,sk_c10) = multiply(sk_c3,sk_c9)
| ~ spl0_8
| ~ spl0_22 ),
inference(superposition,[],[f495,f524]) ).
fof(f604,plain,
( multiply(sk_c3,sk_c9) = multiply(sk_c9,sk_c1)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f495,f598]) ).
fof(f608,plain,
( sk_c3 = multiply(sk_c9,sk_c1)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18 ),
inference(forward_demodulation,[],[f604,f507]) ).
fof(f609,plain,
( multiply(sk_c9,sk_c10) = sk_c3
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f603,f507]) ).
fof(f626,plain,
( sk_c8 = sk_c3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(superposition,[],[f609,f123]) ).
fof(f645,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c9,multiply(sk_c10,X0))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f594,f626]) ).
fof(f648,plain,
( multiply(sk_c10,sk_c9) = multiply(sk_c9,sk_c1)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f596,f598]) ).
fof(f653,plain,
( sk_c3 = multiply(sk_c10,sk_c9)
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f648,f608]) ).
fof(f659,plain,
( multiply(sk_c3,sk_c10) = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(superposition,[],[f645,f524]) ).
fof(f668,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f659,f133]) ).
fof(f672,plain,
( multiply(sk_c3,sk_c9) = multiply(sk_c9,sk_c3)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(superposition,[],[f645,f653]) ).
fof(f677,plain,
( sk_c3 = multiply(sk_c9,sk_c3)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f672,f507]) ).
fof(f681,plain,
( multiply(sk_c1,sk_c9) = multiply(sk_c10,sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_22 ),
inference(superposition,[],[f509,f668]) ).
fof(f687,plain,
( multiply(sk_c1,sk_c9) = sk_c3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f681,f653]) ).
fof(f689,plain,
( sk_c10 = sk_c3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f687,f193]) ).
fof(f691,plain,
( spl0_20
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f689,f523,f203,f191,f179,f167,f131,f122,f485]) ).
fof(f693,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f181,f486]) ).
fof(f700,plain,
( spl0_19
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f693,f485,f179,f481]) ).
fof(f762,plain,
( sk_c10 = multiply(sk_c9,sk_c10)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f677,f486]) ).
fof(f776,plain,
( sk_c10 = sk_c1
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f601,f595]) ).
fof(f831,plain,
( sk_c10 = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f762,f123]) ).
fof(f844,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(superposition,[],[f114,f831]) ).
fof(f845,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f844,f524]) ).
fof(f846,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f850,plain,
( sk_c9 != multiply(sk_c6,sk_c7)
| sk_c9 != multiply(sk_c7,sk_c10)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f120,f138]) ).
fof(f851,plain,
( sk_c9 != multiply(sk_c1,sk_c10)
| sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_18 ),
inference(superposition,[],[f120,f205]) ).
fof(f878,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_18 ),
inference(superposition,[],[f110,f205]) ).
fof(f890,plain,
( ! [X5] :
( sk_c9 != multiply(inverse(X5),sk_c3)
| sk_c9 != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_demodulation,[],[f107,f626]) ).
fof(f891,plain,
( ! [X5] :
( sk_c9 != multiply(inverse(X5),sk_c10)
| sk_c9 != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(forward_demodulation,[],[f890,f486]) ).
fof(f892,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f891,f523,f485,f179,f167,f131,f122,f106,f119]) ).
fof(f919,plain,
( spl0_21
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f373,f157,f141,f136,f127,f112,f519]) ).
fof(f939,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f143,f520]) ).
fof(f953,plain,
( sk_c9 != multiply(sk_c6,sk_c10)
| sk_c9 != multiply(sk_c7,sk_c10)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_21 ),
inference(forward_demodulation,[],[f850,f520]) ).
fof(f954,plain,
( sk_c9 != multiply(sk_c1,sk_c10)
| ~ spl0_5
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f851,f524]) ).
fof(f964,plain,
( sk_c9 != multiply(sk_c7,sk_c10)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f953,f939]) ).
fof(f965,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_demodulation,[],[f954,f776]) ).
fof(f968,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_21 ),
inference(forward_demodulation,[],[f964,f520]) ).
fof(f969,plain,
( $false
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f965,f524]) ).
fof(f970,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f972,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f968,f524]) ).
fof(f973,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f972]) ).
fof(f974,plain,
( ! [X5] :
( sk_c9 != multiply(inverse(X5),sk_c10)
| sk_c9 != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f107,f421]) ).
fof(f975,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f974,f141,f136,f122,f106,f119]) ).
fof(f976,plain,
( sk_c10 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f878]) ).
fof(f978,plain,
( ~ spl0_17
| ~ spl0_2
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f976,f203,f109,f191]) ).
fof(f1001,plain,
( sk_c10 != sk_c10
| sk_c10 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_12 ),
inference(superposition,[],[f110,f153]) ).
fof(f1006,plain,
( sk_c10 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1001]) ).
fof(f1010,plain,
( $false
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1006,f148]) ).
fof(f1011,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f1010]) ).
cnf(s1,plain,
( spl0_2
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f125]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(rat,[],[s1]) ).
cnf(s4,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f139]) ).
cnf(s5,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f144]) ).
cnf(s8,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f155]) ).
cnf(s11,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f170]) ).
cnf(s12,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f171]) ).
cnf(s13,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f172]) ).
cnf(s16,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f175]) ).
cnf(s17,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f176]) ).
cnf(s19,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f182]) ).
cnf(s20,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f183]) ).
cnf(s21,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f184]) ).
cnf(s24,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f187]) ).
cnf(s25,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f188]) ).
cnf(s28,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f195]) ).
cnf(s29,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f196]) ).
cnf(s30,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f197]) ).
cnf(s31,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f198]) ).
cnf(s32,plain,
( spl0_3
| spl0_17 ),
inference(sat_conversion,[],[f199]) ).
cnf(s35,plain,
( spl0_7
| spl0_18 ),
inference(sat_conversion,[],[f206]) ).
cnf(s36,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f207]) ).
cnf(s37,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f208]) ).
cnf(s38,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f209]) ).
cnf(s39,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f210]) ).
cnf(s40,plain,
( spl0_3
| spl0_18 ),
inference(sat_conversion,[],[f211]) ).
cnf(s41,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f212]) ).
cnf(s42,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f213]) ).
cnf(s44,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f215]) ).
cnf(s45,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f216]) ).
cnf(s46,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f217]) ).
cnf(s47,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f218]) ).
cnf(s48,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f219]) ).
cnf(s49,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f220]) ).
cnf(s50,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f221]) ).
cnf(s52,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f419]) ).
cnf(s53,plain,
( ~ spl0_4
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f444]) ).
cnf(s62,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f488]) ).
cnf(s65,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| spl0_22 ),
inference(sat_conversion,[],[f533]) ).
cnf(s66,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18
| ~ spl0_22 ),
inference(sat_conversion,[],[f558]) ).
cnf(s70,plain,
( ~ spl0_17
| ~ spl0_18
| spl0_22 ),
inference(sat_conversion,[],[f590]) ).
cnf(s72,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f691]) ).
cnf(s74,plain,
( ~ spl0_16
| spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f700]) ).
cnf(s75,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f846]) ).
cnf(s83,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f892]) ).
cnf(s88,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f919]) ).
cnf(s93,plain,
( ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_18
| ~ spl0_22 ),
inference(sat_conversion,[],[f970]) ).
cnf(s95,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_10
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f973]) ).
cnf(s96,plain,
( ~ spl0_1
| spl0_5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f975]) ).
cnf(s97,plain,
( ~ spl0_2
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f978]) ).
cnf(s101,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f1011]) ).
cnf(s102,plain,
spl0_3,
inference(rat,[],[s75,s72,s70,s8,s16,s24,s32,s40,s48]) ).
cnf(s103,plain,
spl0_6,
inference(rat,[],[s52,s44,s45,s46,s47,s49,s50,s102]) ).
cnf(s104,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s93,s17,s25,s41,s88,s95,s65,s102,s103]) ).
cnf(s105,plain,
( spl0_10
| ~ spl0_5 ),
inference(rat,[],[s93,s70,s13,s21,s29,s37]) ).
cnf(s106,plain,
( spl0_9
| ~ spl0_5 ),
inference(rat,[],[s93,s70,s12,s20,s28,s36]) ).
cnf(s107,plain,
( ~ spl0_9
| ~ spl0_5
| ~ spl0_10 ),
inference(rat,[],[s93,s11,s19,s35,s65,s104,s103,s102]) ).
cnf(s108,plain,
~ spl0_5,
inference(rat,[],[s107,s106,s105]) ).
cnf(s109,plain,
( spl0_18
| ~ spl0_4 ),
inference(rat,[],[s53,s41,s42]) ).
cnf(s110,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s74,s62,s72,s70,s5,s13,s21,s29,s109,s103]) ).
cnf(s111,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s74,s62,s72,s70,s4,s12,s20,s28,s109,s103]) ).
cnf(s112,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_4
| ~ spl0_18 ),
inference(rat,[],[s65,s66,s103,s102]) ).
cnf(s113,plain,
~ spl0_4,
inference(rat,[],[s112,s111,s110,s109]) ).
cnf(s114,plain,
( spl0_17
| ~ spl0_2 ),
inference(rat,[],[s101,s30,s31]) ).
cnf(s115,plain,
( ~ spl0_17
| ~ spl0_2 ),
inference(rat,[],[s101,s38,s39,s97]) ).
cnf(s116,plain,
~ spl0_2,
inference(rat,[],[s115,s114]) ).
cnf(s117,plain,
spl0_1,
inference(rat,[],[s2,s102,s103,s108,s113,s116]) ).
cnf(s118,plain,
( ~ spl0_15
| ~ spl0_22
| ~ spl0_8
| ~ spl0_17
| ~ spl0_18
| ~ spl0_16 ),
inference(rat,[],[s83,s72,s117,s108,s103]) ).
cnf(s119,plain,
( spl0_10
| ~ spl0_18 ),
inference(rat,[],[s118,s70,s5,s13,s21,s29]) ).
cnf(s120,plain,
~ spl0_18,
inference(rat,[],[s118,s70,s4,s12,s20,s28,s96,s119,s103,s108,s117]) ).
cnf(s125,plain,
spl0_10,
inference(rat,[],[s37,s120]) ).
cnf(s126,plain,
spl0_9,
inference(rat,[],[s36,s120]) ).
cnf(s129,plain,
$false,
inference(rat,[],[s96,s117,s108,s103,s125,s126]) ).
fof(f1014,plain,
$false,
inference(avatar_sat_refutation,[],[s129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP336-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 09:52:31 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 2.75/1.29 % (712638)Input is clausal, will run a generic CNF schedule.
% 2.75/1.29 % (712647)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2459214508:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.75/1.29 % (712647)Instruction limit reached!
% 2.75/1.29 % (712647)------------------------------
% 2.75/1.29 % (712647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.29 % (712647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.29 % (712647)CaDiCaL version: 2.1.3
% 2.75/1.29 % (712647)Termination reason: Instruction limit
% 2.75/1.29 % (712647)Termination phase: Saturation
% 2.75/1.29 % (712647)Time elapsed: 0.036 s
% 2.75/1.29 % (712647)Peak memory usage: 89 MB
% 2.75/1.29 % (712647)Instructions burned: 117 (million)
% 2.75/1.29 % (712646)lrs+10_1_sil=8000:sp=occurrence:random_seed=2322538770:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.75/1.29 % (712649)dis-21_1_sil=8000:lcm=predicate:random_seed=3076840549: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)
% 2.75/1.29 % (712644)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2954265866:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.75/1.29 % (712645)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1647836675:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.75/1.29 % (712643)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=634593515:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.75/1.29 % (712648)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1698430879:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.75/1.29 % (712649)Refutation not found, incomplete strategy
% 2.75/1.29 % (712649)------------------------------
% 2.75/1.29 % (712649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.29 % (712649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.29 % (712649)CaDiCaL version: 2.1.3
% 2.75/1.29 % (712649)Termination reason: Refutation not found, incomplete strategy
% 2.75/1.29 % (712649)Time elapsed: 0.002 s
% 2.75/1.29 % (712649)Peak memory usage: 88 MB
% 2.75/1.29 % (712649)Instructions burned: 2 (million)
% 2.75/1.29 % (712646)Refutation not found, incomplete strategy
% 2.75/1.29 % (712646)------------------------------
% 2.75/1.29 % (712646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.29 % (712646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.29 % (712646)CaDiCaL version: 2.1.3
% 2.75/1.29 % (712646)Termination reason: Refutation not found, incomplete strategy
% 2.75/1.29 % (712646)Time elapsed: 0.004 s
% 2.75/1.29 % (712646)Peak memory usage: 88 MB
% 2.75/1.29 % (712646)Instructions burned: 5 (million)
% 2.75/1.29 % (712648)First to succeed.
% 2.75/1.29 % (712648)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-712638"
% 2.75/1.29 % (712651)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=2892657991:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.75/1.29 % (712651)Refutation not found, incomplete strategy
% 2.75/1.29 % (712651)------------------------------
% 2.75/1.29 % (712651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.29 % (712651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.29 % (712651)CaDiCaL version: 2.1.3
% 2.75/1.29 % (712651)Termination reason: Refutation not found, incomplete strategy
% 2.75/1.29 % (712651)Time elapsed: 0.002 s
% 2.75/1.29 % (712651)Peak memory usage: 88 MB
% 2.75/1.29 % (712651)Instructions burned: 5 (million)
% 2.75/1.29 % (712646)------------------------------
% 2.75/1.29 % (712646)------------------------------
% 2.75/1.29 % (712649)------------------------------
% 2.75/1.29 % (712649)------------------------------
% 2.75/1.29 % (712651)------------------------------
% 2.75/1.29 % (712651)------------------------------
% 2.75/1.29 % (712648)Refutation found. Thanks to Tanya!
% 2.75/1.29 % SZS status Unsatisfiable for theBenchmark
% 2.75/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.74/1.49 % (712648)------------------------------
% 3.74/1.49 % (712648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.49 % (712648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.49 % (712648)CaDiCaL version: 2.1.3
% 3.74/1.49 % (712648)Termination reason: Refutation
% 3.74/1.49 % (712648)Time elapsed: 0.025 s
% 3.74/1.49 % (712648)Peak memory usage: 90 MB
% 3.74/1.49 % (712648)Instructions burned: 38 (million)
% 3.74/1.49 % (712648)------------------------------
% 3.74/1.49 % (712648)------------------------------
% 3.74/1.49 % (712638)Success in time 0.451 s
% 3.74/1.49 % Vampire exiting
%------------------------------------------------------------------------------