%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP260-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:19 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 49
% Syntax : Number of formulae : 333 ( 24 unt; 19 def)
% Number of atoms : 1184 ( 384 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 1642 ( 791 ~; 832 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f23,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c11 = inverse(sk_c1)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( sk_c11 = inverse(sk_c1)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f27]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c11
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c11 = inverse(sk_c1)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c11
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c11 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f33]) ).
fof(f45,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c10) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( sk_c10 = inverse(sk_c2)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c10 = inverse(sk_c2)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c10 = inverse(sk_c2)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c10 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f73]) ).
fof(f83,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| multiply(sk_c3,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c10 = multiply(sk_c3,sk_c11) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c3) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c11 = inverse(sk_c3) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| multiply(sk_c4,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| multiply(sk_c4,sk_c10) = sk_c9 ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c4) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c10 = inverse(sk_c4) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| multiply(sk_c5,sk_c8) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c11 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( multiply(sk_c9,sk_c11) = sk_c10
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f93]) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X0,sk_c11) != sk_c10
| inverse(X0) != sk_c11
| multiply(X1,sk_c10) != sk_c9
| inverse(X1) != sk_c10
| multiply(sk_c9,sk_c11) != sk_c10
| multiply(X2,sk_c11) != sk_c10
| inverse(X2) != sk_c11
| multiply(X3,sk_c10) != sk_c9
| inverse(X3) != sk_c10
| multiply(X4,X5) != sk_c11
| inverse(X4) != X5
| multiply(X5,sk_c10) != sk_c11
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f104,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,X5)
| inverse(X4) != X5
| sk_c11 != multiply(X5,sk_c10)
| inverse(X6) != X7
| inverse(X7) != X5
| multiply(X6,X5) != X7 ),
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X6,X7,X4] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X6) != X7
| inverse(X4) != inverse(X7)
| multiply(X6,inverse(X4)) != X7 ),
inference(equality_resolution,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X6,X4] :
( sk_c10 != multiply(X0,sk_c11)
| inverse(X0) != sk_c11
| sk_c9 != multiply(X1,sk_c10)
| sk_c10 != inverse(X1)
| sk_c10 != multiply(sk_c9,sk_c11)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2)
| sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c11 != multiply(inverse(X4),sk_c10)
| inverse(X4) != inverse(inverse(X6))
| inverse(X6) != multiply(X6,inverse(X4)) ),
inference(equality_resolution,[],[f105]) ).
fof(f108,definition,
( spl0_1
<=> ! [X6,X4] :
( sk_c11 != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f109,plain,
( ! [X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| sk_c11 != multiply(X4,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f112,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f114,definition,
( spl0_3
<=> ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f115,plain,
( ! [X2] :
( sk_c10 != multiply(X2,sk_c11)
| sk_c11 != inverse(X2) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,definition,
( spl0_4
<=> sk_c10 = multiply(sk_c9,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f118,plain,
( sk_c10 = multiply(sk_c9,sk_c11)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( sk_c10 != multiply(sk_c9,sk_c11)
| spl0_4 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f106,f114,f111,f117,f114,f111,f108]) ).
fof(f142,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f144,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_9
| spl0_4 ),
inference(avatar_split_clause,[],[f94,f117,f142]) ).
fof(f147,definition,
( spl0_10
<=> sk_c11 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f149,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f150,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f92,f117,f147]) ).
fof(f152,definition,
( spl0_11
<=> sk_c10 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f154,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f90,f117,f152]) ).
fof(f157,definition,
( spl0_12
<=> multiply(sk_c4,sk_c10) = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f159,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f157]) ).
fof(f160,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f88,f117,f157]) ).
fof(f162,definition,
( spl0_13
<=> sk_c11 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f164,plain,
( sk_c11 = inverse(sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f165,plain,
( spl0_13
| spl0_4 ),
inference(avatar_split_clause,[],[f86,f117,f162]) ).
fof(f167,definition,
( spl0_14
<=> sk_c10 = multiply(sk_c3,sk_c11) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f168,plain,
( sk_c10 != multiply(sk_c3,sk_c11)
| spl0_14 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f169,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f170,plain,
( spl0_14
| spl0_4 ),
inference(avatar_split_clause,[],[f84,f117,f167]) ).
fof(f172,definition,
( spl0_15
<=> sk_c10 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f174,plain,
( sk_c10 = inverse(sk_c2)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f179,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f74,f172,f142]) ).
fof(f180,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f72,f172,f147]) ).
fof(f181,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f70,f172,f152]) ).
fof(f182,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f68,f172,f157]) ).
fof(f183,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f66,f172,f162]) ).
fof(f186,definition,
( spl0_16
<=> sk_c9 = multiply(sk_c2,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f188,plain,
( sk_c9 = multiply(sk_c2,sk_c10)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f193,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f54,f186,f142]) ).
fof(f194,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f52,f186,f147]) ).
fof(f195,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f50,f186,f152]) ).
fof(f196,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f48,f186,f157]) ).
fof(f197,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f46,f186,f162]) ).
fof(f200,definition,
( spl0_17
<=> sk_c11 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f202,plain,
( sk_c11 = inverse(sk_c1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f207,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f34,f200,f142]) ).
fof(f208,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f32,f200,f147]) ).
fof(f210,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f28,f200,f157]) ).
fof(f211,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f26,f200,f162]) ).
fof(f212,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f24,f200,f167]) ).
fof(f214,definition,
( spl0_18
<=> multiply(sk_c1,sk_c11) = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f216,plain,
( multiply(sk_c1,sk_c11) = sk_c10
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f221,plain,
( spl0_9
| spl0_18 ),
inference(avatar_split_clause,[],[f15,f214,f142]) ).
fof(f222,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f13,f214,f147]) ).
fof(f224,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f9,f214,f157]) ).
fof(f225,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f8,f214,f162]) ).
fof(f226,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f6,f214,f167]) ).
fof(f227,plain,
( identity = multiply(sk_c11,sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f3,f164]) ).
fof(f234,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f240,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f234,f1]) ).
fof(f243,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c3,X0))
| ~ spl0_13 ),
inference(superposition,[],[f4,f227]) ).
fof(f244,plain,
( ! [X0] : multiply(sk_c11,multiply(sk_c3,X0)) = X0
| ~ spl0_13 ),
inference(forward_demodulation,[],[f243,f1]) ).
fof(f257,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f244,f169]) ).
fof(f306,plain,
( sk_c10 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f240,f257]) ).
fof(f311,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_12 ),
inference(superposition,[],[f240,f159]) ).
fof(f314,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c11)
| ~ spl0_10 ),
inference(superposition,[],[f240,f149]) ).
fof(f331,plain,
( sk_c8 = multiply(sk_c8,sk_c11)
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f314,f144]) ).
fof(f334,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f311,f154]) ).
fof(f338,plain,
( identity = sk_c10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f306,f3]) ).
fof(f371,plain,
( sk_c11 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f240,f331]) ).
fof(f373,plain,
( identity = sk_c11
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f371,f3]) ).
fof(f378,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f227,f373]) ).
fof(f387,plain,
( identity = sk_c3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f378,f1]) ).
fof(f392,plain,
( identity = multiply(identity,sk_c9)
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f334,f338]) ).
fof(f393,plain,
( identity = sk_c9
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f392,f1]) ).
fof(f395,plain,
( sk_c10 != multiply(identity,sk_c11)
| spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f119,f393]) ).
fof(f396,plain,
( sk_c11 != sk_c10
| spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f395,f1]) ).
fof(f398,plain,
( identity != sk_c11
| spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f396,f338]) ).
fof(f399,plain,
( $false
| spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f398,f373]) ).
fof(f400,plain,
( spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f401,plain,
( ! [X2] :
( sk_c10 != multiply(X2,identity)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f115,f373]) ).
fof(f403,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| sk_c11 != inverse(X2) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f401,f338]) ).
fof(f405,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| identity != inverse(X2) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f403,f373]) ).
fof(f407,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f405,f1]) ).
fof(f412,plain,
( identity != inverse(identity)
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f407]) ).
fof(f426,plain,
( sk_c11 = inverse(identity)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f164,f387]) ).
fof(f427,plain,
( identity = inverse(identity)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f426,f373]) ).
fof(f475,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f427,f412]) ).
fof(f476,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f475]) ).
fof(f477,plain,
( ! [X6,X4] :
( identity != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f109,f373]) ).
fof(f478,plain,
( ! [X6,X4] :
( sk_c11 != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f477,f338]) ).
fof(f479,plain,
( ! [X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| identity != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity)
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f478,f373]) ).
fof(f481,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| identity != multiply(sk_c4,sk_c10)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f479,f154]) ).
fof(f502,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c4,sk_c10)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f481,f338]) ).
fof(f513,plain,
( ! [X0] :
( identity != sk_c9
| inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f502,f159]) ).
fof(f516,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f513,f393]) ).
fof(f519,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f516,f338]) ).
fof(f521,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f519,f1]) ).
fof(f523,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f521,f338]) ).
fof(f533,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f523,f3]) ).
fof(f544,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f533,f427]) ).
fof(f546,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f544,f427]) ).
fof(f548,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f546,f427]) ).
fof(f551,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f548,f427]) ).
fof(f552,plain,
( $false
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f551,f427]) ).
fof(f553,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f552]) ).
fof(f554,plain,
( ! [X3] :
( sk_c9 != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f112,f338]) ).
fof(f555,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c10 != inverse(X3) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f554,f393]) ).
fof(f556,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f555,f338]) ).
fof(f559,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f556,f3]) ).
fof(f561,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f559]) ).
fof(f563,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f561,f427]) ).
fof(f566,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f563,f427]) ).
fof(f567,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f570,plain,
( sk_c10 != multiply(sk_c3,identity)
| ~ spl0_9
| ~ spl0_10
| spl0_14 ),
inference(forward_demodulation,[],[f168,f373]) ).
fof(f571,plain,
( identity = inverse(sk_c1)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f202,f373]) ).
fof(f572,plain,
( sk_c10 = multiply(sk_c1,identity)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_18 ),
inference(forward_demodulation,[],[f216,f373]) ).
fof(f575,plain,
( sk_c10 != multiply(identity,identity)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f570,f387]) ).
fof(f577,plain,
( identity != sk_c10
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_14 ),
inference(forward_demodulation,[],[f575,f1]) ).
fof(f579,plain,
( identity = multiply(sk_c10,sk_c2)
| ~ spl0_15 ),
inference(superposition,[],[f3,f174]) ).
fof(f581,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f3,f571]) ).
fof(f582,plain,
( identity = sk_c1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f581,f1]) ).
fof(f584,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c9)
| ~ spl0_16 ),
inference(superposition,[],[f240,f188]) ).
fof(f586,plain,
( sk_c10 = multiply(sk_c10,sk_c9)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f584,f174]) ).
fof(f591,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f572,f582]) ).
fof(f592,plain,
( identity = sk_c10
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f591,f1]) ).
fof(f593,plain,
( $false
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f592,f577]) ).
fof(f594,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f593]) ).
fof(f599,plain,
( sk_c11 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_18 ),
inference(superposition,[],[f240,f216]) ).
fof(f601,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f599,f202]) ).
fof(f611,plain,
( sk_c10 != sk_c10
| sk_c11 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_18 ),
inference(superposition,[],[f115,f216]) ).
fof(f614,plain,
( sk_c11 != inverse(sk_c1)
| ~ spl0_3
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f611]) ).
fof(f615,plain,
( $false
| ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f614,f202]) ).
fof(f616,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f615]) ).
fof(f622,definition,
( spl0_29
<=> identity = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f623,plain,
( identity = sk_c10
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f624,plain,
( identity != sk_c10
| spl0_29 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f631,definition,
( spl0_31
<=> sk_c11 = sk_c10 ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f632,plain,
( sk_c11 = sk_c10
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f635,plain,
( spl0_29
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f338,f167,f162,f622]) ).
fof(f641,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f579,f623]) ).
fof(f642,plain,
( identity = sk_c2
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f641,f1]) ).
fof(f647,plain,
( sk_c9 = multiply(identity,sk_c10)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f188,f642]) ).
fof(f648,plain,
( sk_c10 = inverse(identity)
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f174,f642]) ).
fof(f649,plain,
( identity = inverse(identity)
| ~ spl0_15
| ~ spl0_29 ),
inference(forward_demodulation,[],[f648,f623]) ).
fof(f650,plain,
( sk_c10 = sk_c9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f647,f1]) ).
fof(f652,plain,
( identity = sk_c9
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f650,f623]) ).
fof(f653,plain,
( sk_c10 = multiply(identity,sk_c11)
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f118,f652]) ).
fof(f654,plain,
( sk_c11 = sk_c10
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f653,f1]) ).
fof(f655,plain,
( identity = sk_c11
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f654,f623]) ).
fof(f696,plain,
( ! [X6,X4] :
( identity != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f109,f655]) ).
fof(f697,plain,
( ! [X6,X4] :
( sk_c11 != multiply(inverse(X4),identity)
| identity != multiply(X4,inverse(X4))
| inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f696,f623]) ).
fof(f698,plain,
( ! [X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| identity != multiply(X4,inverse(X4))
| identity != multiply(inverse(X4),identity)
| inverse(X4) != inverse(inverse(X6)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f697,f655]) ).
fof(f709,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,sk_c10)
| identity != multiply(sk_c2,sk_c10)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f698,f174]) ).
fof(f715,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c2,sk_c10)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f709,f623]) ).
fof(f721,plain,
( ! [X0] :
( identity != sk_c9
| inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f715,f188]) ).
fof(f726,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != multiply(sk_c10,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f721,f652]) ).
fof(f729,plain,
( ! [X0] :
( identity != multiply(identity,identity)
| inverse(X0) != multiply(X0,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f726,f623]) ).
fof(f732,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| sk_c10 != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f729,f1]) ).
fof(f735,plain,
( ! [X0] :
( inverse(X0) != multiply(X0,identity)
| identity != inverse(inverse(X0)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f732,f623]) ).
fof(f763,plain,
( identity != inverse(inverse(identity))
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(superposition,[],[f735,f3]) ).
fof(f766,plain,
( identity != inverse(identity)
| identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f763,f649]) ).
fof(f768,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f766,f649]) ).
fof(f770,plain,
( identity != inverse(inverse(identity))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f768,f649]) ).
fof(f773,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_demodulation,[],[f770,f649]) ).
fof(f774,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f773,f649]) ).
fof(f775,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(avatar_contradiction_clause,[],[f774]) ).
fof(f782,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f112,f188]) ).
fof(f783,plain,
( sk_c10 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f782]) ).
fof(f784,plain,
( $false
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f783,f174]) ).
fof(f785,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f791,definition,
( spl0_33
<=> identity = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f792,plain,
( identity = sk_c9
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f804,plain,
( sk_c9 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f240,f586]) ).
fof(f806,plain,
( identity = sk_c9
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f804,f3]) ).
fof(f807,plain,
( spl0_33
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f806,f186,f172,f791]) ).
fof(f839,definition,
( spl0_41
<=> sk_c11 = sk_c9 ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f840,plain,
( sk_c11 = sk_c9
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f841,plain,
( sk_c11 != sk_c9
| spl0_41 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f844,definition,
( spl0_42
<=> sk_c11 = multiply(sk_c11,sk_c10) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f845,plain,
( sk_c11 = multiply(sk_c11,sk_c10)
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f846,plain,
( sk_c11 != multiply(sk_c11,sk_c10)
| spl0_42 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f852,plain,
( sk_c10 = multiply(identity,sk_c11)
| ~ spl0_4
| ~ spl0_33 ),
inference(superposition,[],[f118,f792]) ).
fof(f853,plain,
( sk_c11 = sk_c10
| ~ spl0_4
| ~ spl0_33 ),
inference(forward_demodulation,[],[f852,f1]) ).
fof(f856,plain,
( spl0_31
| ~ spl0_4
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f853,f791,f117,f631]) ).
fof(f863,plain,
( identity != sk_c11
| ~ spl0_33
| spl0_41 ),
inference(forward_demodulation,[],[f841,f792]) ).
fof(f864,plain,
( sk_c11 != multiply(sk_c11,sk_c11)
| ~ spl0_31
| spl0_42 ),
inference(forward_demodulation,[],[f846,f632]) ).
fof(f865,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_17
| ~ spl0_18
| ~ spl0_31 ),
inference(forward_demodulation,[],[f601,f632]) ).
fof(f866,plain,
( $false
| ~ spl0_17
| ~ spl0_18
| ~ spl0_31
| spl0_42 ),
inference(forward_subsumption_resolution,[],[f865,f864]) ).
fof(f867,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_31
| spl0_42 ),
inference(avatar_contradiction_clause,[],[f866]) ).
fof(f868,plain,
( sk_c11 = multiply(sk_c11,sk_c11)
| ~ spl0_31
| ~ spl0_42 ),
inference(forward_demodulation,[],[f845,f632]) ).
fof(f869,plain,
( sk_c11 = multiply(inverse(sk_c11),sk_c11)
| ~ spl0_31
| ~ spl0_42 ),
inference(superposition,[],[f240,f868]) ).
fof(f871,plain,
( identity = sk_c11
| ~ spl0_31
| ~ spl0_42 ),
inference(forward_demodulation,[],[f869,f3]) ).
fof(f872,plain,
( $false
| ~ spl0_31
| ~ spl0_33
| spl0_41
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[],[f871,f863]) ).
fof(f873,plain,
( ~ spl0_31
| ~ spl0_33
| spl0_41
| ~ spl0_42 ),
inference(avatar_contradiction_clause,[],[f872]) ).
fof(f875,plain,
( identity = sk_c11
| ~ spl0_33
| ~ spl0_41 ),
inference(forward_demodulation,[],[f840,f792]) ).
fof(f882,plain,
( sk_c10 = multiply(sk_c9,identity)
| ~ spl0_4
| ~ spl0_33
| ~ spl0_41 ),
inference(superposition,[],[f118,f875]) ).
fof(f888,plain,
( sk_c10 = multiply(identity,identity)
| ~ spl0_4
| ~ spl0_33
| ~ spl0_41 ),
inference(forward_demodulation,[],[f882,f792]) ).
fof(f890,plain,
( identity = sk_c10
| ~ spl0_4
| ~ spl0_33
| ~ spl0_41 ),
inference(forward_demodulation,[],[f888,f1]) ).
fof(f891,plain,
( $false
| ~ spl0_4
| spl0_29
| ~ spl0_33
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f890,f624]) ).
fof(f892,plain,
( ~ spl0_4
| spl0_29
| ~ spl0_33
| ~ spl0_41 ),
inference(avatar_contradiction_clause,[],[f891]) ).
cnf(s1,plain,
( spl0_2
| spl0_3
| spl0_2
| spl0_1
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f120]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4 ),
inference(rat,[],[s1]) ).
cnf(s7,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f145]) ).
cnf(s8,plain,
( spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f150]) ).
cnf(s9,plain,
( spl0_4
| spl0_11 ),
inference(sat_conversion,[],[f155]) ).
cnf(s10,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f160]) ).
cnf(s11,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f165]) ).
cnf(s12,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f170]) ).
cnf(s17,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f179]) ).
cnf(s18,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f180]) ).
cnf(s19,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f181]) ).
cnf(s20,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f182]) ).
cnf(s21,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f183]) ).
cnf(s27,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f193]) ).
cnf(s28,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f194]) ).
cnf(s29,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f195]) ).
cnf(s30,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f196]) ).
cnf(s31,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f197]) ).
cnf(s37,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f207]) ).
cnf(s38,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f208]) ).
cnf(s40,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f210]) ).
cnf(s41,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f211]) ).
cnf(s42,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f212]) ).
cnf(s47,plain,
( spl0_9
| spl0_18 ),
inference(sat_conversion,[],[f221]) ).
cnf(s48,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f222]) ).
cnf(s50,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f224]) ).
cnf(s51,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f225]) ).
cnf(s52,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f226]) ).
cnf(s53,plain,
( spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f400]) ).
cnf(s55,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f476]) ).
cnf(s61,plain,
( ~ spl0_1
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f553]) ).
cnf(s63,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f567]) ).
cnf(s64,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_13
| spl0_14
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f594]) ).
cnf(s65,plain,
( ~ spl0_3
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f616]) ).
cnf(s68,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_29 ),
inference(sat_conversion,[],[f635]) ).
cnf(s74,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_29 ),
inference(sat_conversion,[],[f775]) ).
cnf(s75,plain,
( ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f785]) ).
cnf(s78,plain,
( ~ spl0_15
| ~ spl0_16
| spl0_33 ),
inference(sat_conversion,[],[f807]) ).
cnf(s84,plain,
( ~ spl0_4
| spl0_31
| ~ spl0_33 ),
inference(sat_conversion,[],[f856]) ).
cnf(s85,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_31
| spl0_42 ),
inference(sat_conversion,[],[f867]) ).
cnf(s86,plain,
( ~ spl0_31
| ~ spl0_33
| spl0_41
| ~ spl0_42 ),
inference(sat_conversion,[],[f873]) ).
cnf(s89,plain,
( ~ spl0_4
| spl0_29
| ~ spl0_33
| ~ spl0_41 ),
inference(sat_conversion,[],[f892]) ).
cnf(s90,plain,
spl0_4,
inference(rat,[],[s53,s7,s8,s9,s10,s11,s12]) ).
cnf(s91,plain,
( ~ spl0_13
| ~ spl0_10
| ~ spl0_3
| ~ spl0_9 ),
inference(rat,[],[s64,s42,s52,s55]) ).
cnf(s92,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s65,s41,s51]) ).
cnf(s93,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s65,s38,s48]) ).
cnf(s94,plain,
( ~ spl0_10
| ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s65,s37,s47,s91]) ).
cnf(s95,plain,
~ spl0_3,
inference(rat,[],[s94,s93,s92]) ).
cnf(s96,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s75,s20,s30]) ).
cnf(s97,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s75,s19,s29]) ).
cnf(s98,plain,
( ~ spl0_13
| ~ spl0_10
| ~ spl0_2
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(rat,[],[s64,s42,s52,s63]) ).
cnf(s99,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s75,s21,s31]) ).
cnf(s100,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s75,s18,s28]) ).
cnf(s101,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_2
| ~ spl0_13
| ~ spl0_11 ),
inference(rat,[],[s75,s17,s27,s98]) ).
cnf(s102,plain,
~ spl0_2,
inference(rat,[],[s101,s100,s99,s97,s96]) ).
cnf(s103,plain,
spl0_1,
inference(rat,[],[s2,s90,s95,s102]) ).
cnf(s104,plain,
( spl0_12
| ~ spl0_13
| ~ spl0_10
| ~ spl0_9 ),
inference(rat,[],[s68,s74,s64,s20,s30,s40,s50,s90,s103]) ).
cnf(s105,plain,
( spl0_14
| ~ spl0_13
| ~ spl0_10
| ~ spl0_9 ),
inference(rat,[],[s64,s42,s52]) ).
cnf(s106,plain,
( ~ spl0_13
| ~ spl0_10
| ~ spl0_9 ),
inference(rat,[],[s74,s19,s29,s61,s68,s105,s104,s103,s90]) ).
cnf(s107,plain,
spl0_13,
inference(rat,[],[s86,s85,s89,s84,s74,s78,s21,s31,s41,s51,s90,s103]) ).
cnf(s108,plain,
spl0_10,
inference(rat,[],[s86,s85,s89,s84,s74,s78,s18,s28,s38,s48,s90,s103]) ).
cnf(s109,plain,
~ spl0_9,
inference(rat,[],[s106,s107,s108]) ).
cnf(s110,plain,
spl0_18,
inference(rat,[],[s47,s109]) ).
cnf(s111,plain,
spl0_17,
inference(rat,[],[s37,s109]) ).
cnf(s112,plain,
spl0_16,
inference(rat,[],[s27,s109]) ).
cnf(s113,plain,
spl0_15,
inference(rat,[],[s17,s109]) ).
cnf(s114,plain,
spl0_33,
inference(rat,[],[s78,s112,s113]) ).
cnf(s115,plain,
~ spl0_29,
inference(rat,[],[s74,s112,s103,s90,s113]) ).
cnf(s116,plain,
spl0_31,
inference(rat,[],[s84,s90,s114]) ).
cnf(s117,plain,
~ spl0_41,
inference(rat,[],[s89,s114,s90,s115]) ).
cnf(s119,plain,
spl0_42,
inference(rat,[],[s85,s111,s110,s116]) ).
cnf(s121,plain,
$false,
inference(rat,[],[s86,s116,s114,s119,s117]) ).
fof(f893,plain,
$false,
inference(avatar_sat_refutation,[],[s121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP260-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n001.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 09:49:15 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.46 % (3307831)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (3307839)dis+10_1_sil=32000:sp=arity:random_seed=4131432835:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (3307837)% WARNING: option uhcvi not known.
% 0.16/0.46 % (3307836)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2860567631_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (3307837)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2337426876:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (3307838)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3398884623:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (3307840)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3027100166:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (3307842)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2482043976:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % (3307841)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1620193827:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (3307839) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3307831-3307839"...
% 0.16/0.46 % (3307839)...printing done.
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % (3307839)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (3307839)------------------------------
% 0.16/0.47 % (3307839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3307839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3307839)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3307839)Termination reason: Refutation
% 0.16/0.47 % (3307839)Time elapsed: 0.011 s
% 0.16/0.47 % (3307839)Peak memory usage: 12 MB
% 0.16/0.47 % (3307839)Instructions burned: 31 (million)
% 0.16/0.47 % (3307831)Success in time 0.042 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------