%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP327-1 : 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 10:13:39 AM UTC 2026
% Result : Unsatisfiable 2.67s 1.32s
% Output : Refutation 3.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 51
% Syntax : Number of formulae : 339 ( 20 unt; 20 def)
% Number of atoms : 1069 ( 308 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1391 ( 661 ~; 710 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 40 ( 0 sgn 40 !; 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_c7,sk_c8) = sk_c6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c7) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f42]) ).
fof(f44,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f44]) ).
fof(f50,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = inverse(sk_c7) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c6,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(reorient_equations,[],[f56]) ).
fof(f62,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
inference(reorient_equations,[],[f64]) ).
fof(f66,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| multiply(X0,sk_c7) != sk_c8
| inverse(X0) != sk_c7
| multiply(sk_c8,X1) != sk_c7
| multiply(X2,sk_c8) != X1
| inverse(X2) != sk_c8
| inverse(sk_c7) != sk_c6
| multiply(sk_c6,sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X3,sk_c7) != sk_c8
| inverse(X4) != sk_c7
| multiply(X4,sk_c6) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(sk_c8,X1)
| multiply(X2,sk_c8) != X1
| sk_c8 != inverse(X2)
| sk_c6 != inverse(sk_c7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ),
inference(reorient_equations,[],[f66]) ).
fof(f68,plain,
! [X2,X3,X0,X4] :
( multiply(sk_c7,sk_c8) != sk_c6
| sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2)
| sk_c6 != inverse(sk_c7)
| sk_c7 != multiply(sk_c6,sk_c8)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ),
inference(equality_resolution,[],[f67]) ).
fof(f70,definition,
( spl0_1
<=> ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f71,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f74,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_3
<=> sk_c7 = multiply(sk_c6,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f77,plain,
( sk_c7 = multiply(sk_c6,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f78,plain,
( sk_c7 != multiply(sk_c6,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,definition,
( spl0_4
<=> sk_c6 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f81,plain,
( sk_c6 = inverse(sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( sk_c6 != inverse(sk_c7)
| spl0_4 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f84,definition,
( spl0_5
<=> ! [X2] :
( sk_c7 != multiply(sk_c8,multiply(X2,sk_c8))
| sk_c8 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f85,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_6
<=> ! [X0] :
( sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f88,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c8 != multiply(X0,sk_c7) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,definition,
( spl0_7
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f91,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f68,f90,f87,f84,f80,f76,f73,f70]) ).
fof(f95,definition,
( spl0_8
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f97,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f99,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f101,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f65,f99,f95]) ).
fof(f104,definition,
( spl0_10
<=> sk_c7 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f106,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f63,f99,f104]) ).
fof(f109,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f111,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f114,definition,
( spl0_12
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f116,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f118,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f57,f99,f76]) ).
fof(f119,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f55,f99,f80]) ).
fof(f121,definition,
( spl0_13
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f123,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f53,f121,f95]) ).
fof(f125,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f51,f121,f104]) ).
fof(f128,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f45,f121,f76]) ).
fof(f129,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f43,f121,f80]) ).
fof(f131,definition,
( spl0_14
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f133,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f41,f131,f95]) ).
fof(f135,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f39,f131,f104]) ).
fof(f136,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f37,f131,f109]) ).
fof(f137,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f35,f131,f114]) ).
fof(f138,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f33,f131,f76]) ).
fof(f139,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f31,f131,f80]) ).
fof(f141,definition,
( spl0_15
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f143,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f29,f141,f95]) ).
fof(f145,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f27,f141,f104]) ).
fof(f146,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f25,f141,f109]) ).
fof(f147,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f23,f141,f114]) ).
fof(f148,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f21,f141,f76]) ).
fof(f149,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f19,f141,f80]) ).
fof(f151,definition,
( spl0_16
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f153,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f17,f151,f95]) ).
fof(f155,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f15,f151,f104]) ).
fof(f156,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f13,f151,f109]) ).
fof(f157,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f11,f151,f114]) ).
fof(f158,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f9,f151,f76]) ).
fof(f159,plain,
( spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f7,f151,f80]) ).
fof(f160,plain,
spl0_7,
inference(avatar_split_clause,[],[f5,f90]) ).
fof(f161,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f74,f111]) ).
fof(f162,plain,
( sk_c8 != inverse(sk_c4)
| ~ spl0_2
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f161]) ).
fof(f163,plain,
( $false
| ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f162,f116]) ).
fof(f164,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f163]) ).
fof(f165,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f74,f153]) ).
fof(f166,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f165]) ).
fof(f167,plain,
( sk_c7 != sk_c8
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f166,f143]) ).
fof(f169,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_4 ),
inference(superposition,[],[f3,f81]) ).
fof(f170,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_15 ),
inference(superposition,[],[f3,f143]) ).
fof(f172,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_10 ),
inference(superposition,[],[f3,f106]) ).
fof(f177,definition,
( spl0_17
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f178,plain,
( identity = sk_c8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f179,plain,
( identity != sk_c8
| spl0_17 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f186,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f192,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f97]) ).
fof(f196,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f186,f1]) ).
fof(f199,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f169]) ).
fof(f200,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f199,f1]) ).
fof(f210,plain,
( sk_c1 = multiply(sk_c6,identity)
| ~ spl0_4
| ~ spl0_15 ),
inference(superposition,[],[f200,f170]) ).
fof(f211,plain,
( sk_c5 = multiply(sk_c6,identity)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f200,f172]) ).
fof(f249,plain,
( sk_c1 = sk_c5
| ~ spl0_4
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f211,f210]) ).
fof(f254,plain,
( multiply(sk_c7,sk_c8) = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f192,f77]) ).
fof(f258,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f254,f91]) ).
fof(f272,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f258,f249]) ).
fof(f273,plain,
( sk_c8 = sk_c6
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f272,f153]) ).
fof(f325,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_16 ),
inference(superposition,[],[f196,f153]) ).
fof(f328,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f196,f91]) ).
fof(f329,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f196,f123]) ).
fof(f332,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_15 ),
inference(superposition,[],[f196,f170]) ).
fof(f346,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f329,f101]) ).
fof(f347,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f328,f273]) ).
fof(f350,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f325,f143]) ).
fof(f363,plain,
( sk_c7 = sk_c8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f346,f133]) ).
fof(f364,plain,
( sk_c8 = multiply(sk_c6,sk_c8)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f347,f81]) ).
fof(f370,plain,
( $false
| ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f363,f167]) ).
fof(f371,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f372,plain,
( sk_c7 = sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f364,f77]) ).
fof(f374,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f372,f167]) ).
fof(f375,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f383,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f85,f101]) ).
fof(f384,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f383]) ).
fof(f385,plain,
( sk_c7 != multiply(sk_c8,sk_c3)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f384,f123]) ).
fof(f392,definition,
( spl0_20
<=> sk_c7 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f393,plain,
( sk_c7 = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f397,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f385,f133]) ).
fof(f398,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f406,plain,
( spl0_20
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f363,f131,f121,f99,f392]) ).
fof(f407,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| spl0_3
| ~ spl0_20 ),
inference(superposition,[],[f78,f393]) ).
fof(f408,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_20 ),
inference(superposition,[],[f91,f393]) ).
fof(f410,plain,
( sk_c7 = multiply(sk_c7,sk_c3)
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f133,f393]) ).
fof(f416,plain,
( identity != sk_c7
| spl0_3
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f407,f169]) ).
fof(f421,plain,
( identity != sk_c7
| spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f179,f393]) ).
fof(f434,plain,
( sk_c3 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f196,f410]) ).
fof(f436,plain,
( identity = sk_c3
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f434,f3]) ).
fof(f441,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f350,f393]) ).
fof(f459,plain,
( sk_c7 = sk_c6
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f441,f408]) ).
fof(f463,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f196,f441]) ).
fof(f465,plain,
( identity = sk_c7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f463,f3]) ).
fof(f467,plain,
( $false
| spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f465,f416]) ).
fof(f468,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f473,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c3)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_20 ),
inference(forward_demodulation,[],[f332,f436]) ).
fof(f489,plain,
( sk_c7 = sk_c3
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f465,f436]) ).
fof(f496,plain,
( identity = sk_c7
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f178,f393]) ).
fof(f510,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f473,f489]) ).
fof(f511,plain,
( identity = sk_c1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f510,f3]) ).
fof(f512,plain,
( sk_c7 = sk_c1
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f511,f465]) ).
fof(f513,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f143,f512]) ).
fof(f559,plain,
( sk_c7 != sk_c6
| spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f82,f513]) ).
fof(f563,plain,
( $false
| spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f559,f459]) ).
fof(f564,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f563]) ).
fof(f567,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f71,f459]) ).
fof(f568,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f77,f393]) ).
fof(f584,plain,
( sk_c7 = sk_c6
| ~ spl0_4
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f81,f513]) ).
fof(f611,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f567,f143]) ).
fof(f615,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f611]) ).
fof(f628,plain,
( ! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != multiply(X0,sk_c7) )
| ~ spl0_6
| ~ spl0_20 ),
inference(forward_demodulation,[],[f88,f393]) ).
fof(f630,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f628,f143]) ).
fof(f634,plain,
( sk_c7 != multiply(sk_c1,sk_c7)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f630]) ).
fof(f678,plain,
( sk_c7 = inverse(sk_c4)
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_demodulation,[],[f116,f393]) ).
fof(f685,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_12
| ~ spl0_20 ),
inference(superposition,[],[f3,f678]) ).
fof(f686,plain,
( sk_c7 = multiply(sk_c7,sk_c4)
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f685,f496]) ).
fof(f697,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f111,f393]) ).
fof(f716,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8)) )
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f85,f393]) ).
fof(f717,plain,
( ! [X2] :
( sk_c7 != inverse(X2)
| sk_c7 != multiply(sk_c7,multiply(X2,sk_c7)) )
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f716,f393]) ).
fof(f719,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,multiply(sk_c1,sk_c7))
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(superposition,[],[f717,f143]) ).
fof(f720,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c7,multiply(sk_c4,sk_c7))
| ~ spl0_5
| ~ spl0_12
| ~ spl0_20 ),
inference(superposition,[],[f717,f678]) ).
fof(f723,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c4,sk_c7))
| ~ spl0_5
| ~ spl0_12
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f720]) ).
fof(f724,plain,
( sk_c7 != multiply(sk_c7,multiply(sk_c1,sk_c7))
| ~ spl0_5
| ~ spl0_15
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f719]) ).
fof(f726,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_demodulation,[],[f723,f697]) ).
fof(f727,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| ~ spl0_5
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f724,f153]) ).
fof(f731,plain,
( sk_c7 != sk_c6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f727,f91]) ).
fof(f734,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f731,f584]) ).
fof(f735,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f741,plain,
( identity = multiply(sk_c6,sk_c7)
| ~ spl0_4 ),
inference(superposition,[],[f3,f81]) ).
fof(f748,plain,
( sk_c7 != sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f615,f153]) ).
fof(f751,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f748,f393]) ).
fof(f752,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f757,plain,
( sk_c7 != sk_c8
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f634,f153]) ).
fof(f760,plain,
( $false
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f757,f393]) ).
fof(f761,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f760]) ).
fof(f773,definition,
( spl0_25
<=> sk_c7 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f774,plain,
( sk_c7 = sk_c6
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f787,definition,
( spl0_26
<=> sk_c7 = multiply(sk_c7,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f788,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f815,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f196,f686]) ).
fof(f817,plain,
( identity = sk_c4
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f815,f3]) ).
fof(f819,plain,
( sk_c7 = sk_c4
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f817,f496]) ).
fof(f821,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f686,f819]) ).
fof(f826,plain,
( $false
| ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f821,f726]) ).
fof(f827,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f829,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_4
| ~ spl0_20 ),
inference(forward_demodulation,[],[f741,f568]) ).
fof(f830,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| spl0_17
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f829,f421]) ).
fof(f831,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f830]) ).
fof(f836,plain,
( sk_c7 != sk_c7
| sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_20 ),
inference(superposition,[],[f628,f678]) ).
fof(f839,plain,
( sk_c7 != multiply(sk_c4,sk_c7)
| ~ spl0_6
| ~ spl0_12
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f836]) ).
fof(f840,plain,
( $false
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f839,f697]) ).
fof(f841,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f840]) ).
fof(f897,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8 ),
inference(superposition,[],[f196,f258]) ).
fof(f899,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f897,f106]) ).
fof(f903,plain,
( spl0_26
| ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f899,f104,f95,f90,f76,f787]) ).
fof(f906,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_26 ),
inference(superposition,[],[f196,f788]) ).
fof(f908,plain,
( identity = sk_c6
| ~ spl0_26 ),
inference(forward_demodulation,[],[f906,f3]) ).
fof(f915,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_demodulation,[],[f741,f908]) ).
fof(f918,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_4
| ~ spl0_26 ),
inference(superposition,[],[f196,f915]) ).
fof(f920,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_26 ),
inference(forward_demodulation,[],[f918,f3]) ).
fof(f923,plain,
( sk_c7 = sk_c6
| ~ spl0_4
| ~ spl0_26 ),
inference(superposition,[],[f908,f920]) ).
fof(f935,plain,
( spl0_25
| ~ spl0_4
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f923,f787,f80,f773]) ).
fof(f936,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_3
| ~ spl0_25 ),
inference(superposition,[],[f77,f774]) ).
fof(f948,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_3
| ~ spl0_25 ),
inference(superposition,[],[f196,f936]) ).
fof(f950,plain,
( identity = sk_c8
| ~ spl0_3
| ~ spl0_25 ),
inference(forward_demodulation,[],[f948,f3]) ).
fof(f959,plain,
( sk_c7 = sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_25
| ~ spl0_26 ),
inference(forward_demodulation,[],[f950,f920]) ).
fof(f968,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c7) )
| ~ spl0_1
| ~ spl0_25 ),
inference(forward_demodulation,[],[f71,f774]) ).
fof(f973,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_20
| ~ spl0_25 ),
inference(forward_demodulation,[],[f568,f774]) ).
fof(f986,plain,
( spl0_20
| ~ spl0_3
| ~ spl0_4
| ~ spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f959,f787,f773,f80,f76,f392]) ).
fof(f1035,plain,
( sk_c7 != sk_c6
| sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_25 ),
inference(superposition,[],[f968,f81]) ).
fof(f1046,plain,
( sk_c7 != multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1035,f774]) ).
fof(f1053,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_20
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f1046,f973]) ).
fof(f1054,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_20
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f1053]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f93]) ).
cnf(s2,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f102]) ).
cnf(s3,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f107]) ).
cnf(s6,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f118]) ).
cnf(s7,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f119]) ).
cnf(s8,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f124]) ).
cnf(s9,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s12,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f128]) ).
cnf(s13,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f129]) ).
cnf(s14,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f134]) ).
cnf(s15,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s16,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f136]) ).
cnf(s17,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s18,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s19,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s20,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f144]) ).
cnf(s21,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s22,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s23,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s24,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s25,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f149]) ).
cnf(s26,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f154]) ).
cnf(s27,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f155]) ).
cnf(s28,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f156]) ).
cnf(s29,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f157]) ).
cnf(s30,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f158]) ).
cnf(s31,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f159]) ).
cnf(s32,plain,
spl0_7,
inference(sat_conversion,[],[f160]) ).
cnf(s33,plain,
( ~ spl0_2
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f164]) ).
cnf(s36,plain,
( ~ spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f371]) ).
cnf(s37,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f375]) ).
cnf(s40,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f398]) ).
cnf(s42,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| spl0_20 ),
inference(sat_conversion,[],[f406]) ).
cnf(s44,plain,
( spl0_3
| ~ spl0_4
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f468]) ).
cnf(s47,plain,
( spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f564]) ).
cnf(s64,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f735]) ).
cnf(s67,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f752]) ).
cnf(s69,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_16
| ~ spl0_20 ),
inference(sat_conversion,[],[f761]) ).
cnf(s75,plain,
( ~ spl0_5
| ~ spl0_11
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f827]) ).
cnf(s76,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f831]) ).
cnf(s77,plain,
( ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_20 ),
inference(sat_conversion,[],[f841]) ).
cnf(s80,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| spl0_26 ),
inference(sat_conversion,[],[f903]) ).
cnf(s85,plain,
( ~ spl0_4
| spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f935]) ).
cnf(s97,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_20
| ~ spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f986]) ).
cnf(s105,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_20
| ~ spl0_25 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s106,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5
| spl0_6 ),
inference(rat,[],[s1,s32]) ).
cnf(s107,plain,
spl0_3,
inference(rat,[],[s44,s47,s42,s6,s12,s18,s24,s30,s32]) ).
cnf(s108,plain,
( spl0_8
| ~ spl0_6 ),
inference(rat,[],[s42,s69,s2,s8,s14,s20,s26]) ).
cnf(s109,plain,
( spl0_16
| ~ spl0_20
| ~ spl0_6 ),
inference(rat,[],[s77,s28,s29]) ).
cnf(s110,plain,
( ~ spl0_16
| ~ spl0_20
| ~ spl0_6 ),
inference(rat,[],[s77,s22,s23,s69]) ).
cnf(s111,plain,
( ~ spl0_20
| ~ spl0_6 ),
inference(rat,[],[s110,s109]) ).
cnf(s112,plain,
( ~ spl0_26
| spl0_20
| ~ spl0_4 ),
inference(rat,[],[s97,s85,s107]) ).
cnf(s113,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s3,s42,s9,s15,s80,s112,s111,s108,s32,s107]) ).
cnf(s114,plain,
( spl0_16
| ~ spl0_17
| ~ spl0_20
| ~ spl0_5 ),
inference(rat,[],[s75,s28,s29]) ).
cnf(s115,plain,
( spl0_15
| ~ spl0_17
| ~ spl0_20
| ~ spl0_5 ),
inference(rat,[],[s75,s22,s23]) ).
cnf(s116,plain,
( ~ spl0_20
| ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s75,s16,s17,s64,s115,s114,s76,s32,s107]) ).
cnf(s117,plain,
( spl0_16
| spl0_26 ),
inference(rat,[],[s80,s26,s27,s32,s107]) ).
cnf(s118,plain,
( spl0_10
| ~ spl0_14
| ~ spl0_5 ),
inference(rat,[],[s40,s3,s9]) ).
cnf(s119,plain,
( ~ spl0_14
| spl0_26
| ~ spl0_5 ),
inference(rat,[],[s40,s2,s8,s80,s118,s32,s107]) ).
cnf(s120,plain,
( spl0_26
| ~ spl0_5 ),
inference(rat,[],[s80,s14,s15,s119,s107,s32]) ).
cnf(s121,plain,
( ~ spl0_5
| ~ spl0_4 ),
inference(rat,[],[s120,s112,s116]) ).
cnf(s122,plain,
( spl0_6
| ~ spl0_4
| spl0_1
| spl0_2 ),
inference(rat,[],[s121,s106,s107]) ).
cnf(s123,plain,
( ~ spl0_4
| spl0_2
| spl0_1 ),
inference(rat,[],[s122,s113]) ).
cnf(s124,plain,
spl0_4,
inference(rat,[],[s42,s47,s7,s13,s19,s25,s31,s32]) ).
cnf(s127,plain,
( spl0_10
| ~ spl0_14
| ~ spl0_16
| ~ spl0_2 ),
inference(rat,[],[s36,s3,s9,s21]) ).
cnf(s129,plain,
( spl0_14
| ~ spl0_2 ),
inference(rat,[],[s33,s16,s17]) ).
cnf(s130,plain,
( spl0_15
| ~ spl0_2 ),
inference(rat,[],[s33,s22,s23]) ).
cnf(s131,plain,
( ~ spl0_16
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s37,s127,s129,s130,s32,s107,s124]) ).
cnf(s132,plain,
( spl0_16
| ~ spl0_2 ),
inference(rat,[],[s33,s28,s29]) ).
cnf(s133,plain,
~ spl0_2,
inference(rat,[],[s36,s2,s8,s131,s132,s130,s129]) ).
cnf(s134,plain,
spl0_1,
inference(rat,[],[s123,s124,s133]) ).
cnf(s135,plain,
~ spl0_20,
inference(rat,[],[s80,s20,s21,s67,s117,s85,s105,s32,s107,s134,s124]) ).
cnf(s136,plain,
~ spl0_26,
inference(rat,[],[s112,s124,s135]) ).
cnf(s138,plain,
( spl0_10
| ~ spl0_14 ),
inference(rat,[],[s42,s3,s9,s135]) ).
cnf(s139,plain,
~ spl0_14,
inference(rat,[],[s42,s2,s8,s80,s138,s135,s32,s107,s136]) ).
cnf(s142,plain,
spl0_10,
inference(rat,[],[s15,s139]) ).
cnf(s143,plain,
spl0_8,
inference(rat,[],[s14,s139]) ).
cnf(s144,plain,
$false,
inference(rat,[],[s80,s136,s107,s32,s143,s142]) ).
fof(f1055,plain,
$false,
inference(avatar_sat_refutation,[],[s144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP327-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:51:01 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.67/1.32 % (711350)Input is clausal, will run a generic CNF schedule.
% 2.67/1.32 % (711357)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1211072970:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.67/1.32 % (711358)lrs+10_1_sil=8000:sp=occurrence:random_seed=4025274505:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.67/1.32 % (711356)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4037939973:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.67/1.32 % (711359)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=488432163:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.67/1.32 % (711355)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=1833161132:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.67/1.32 % (711360)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3599849668:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.67/1.32 % (711361)dis-21_1_sil=8000:lcm=predicate:random_seed=1062356488: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)
% 2.67/1.32 % (711361)Refutation not found, incomplete strategy
% 2.67/1.32 % (711361)------------------------------
% 2.67/1.32 % (711361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.32 % (711361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.32 % (711361)CaDiCaL version: 2.1.3
% 2.67/1.32 % (711361)Termination reason: Refutation not found, incomplete strategy
% 2.67/1.32 % (711361)Time elapsed: 0.002 s
% 2.67/1.32 % (711361)Peak memory usage: 88 MB
% 2.67/1.32 % (711361)Instructions burned: 2 (million)
% 2.67/1.32 % (711360)First to succeed.
% 2.67/1.32 % (711360)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-711350"
% 2.67/1.32 % (711358)Instruction limit reached!
% 2.67/1.32 % (711358)------------------------------
% 2.67/1.32 % (711358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.32 % (711358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.32 % (711358)CaDiCaL version: 2.1.3
% 2.67/1.32 % (711358)Termination reason: Instruction limit
% 2.67/1.32 % (711358)Termination phase: Saturation
% 2.67/1.32 % (711358)Time elapsed: 0.056 s
% 2.67/1.32 % (711358)Peak memory usage: 89 MB
% 2.67/1.32 % (711358)Instructions burned: 108 (million)
% 2.67/1.32 % (711359)Instruction limit reached!
% 2.67/1.32 % (711359)------------------------------
% 2.67/1.32 % (711359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.67/1.32 % (711359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.67/1.32 % (711359)CaDiCaL version: 2.1.3
% 2.67/1.32 % (711359)Termination reason: Instruction limit
% 2.67/1.32 % (711359)Termination phase: Saturation
% 2.67/1.32 % (711359)Time elapsed: 0.068 s
% 2.67/1.32 % (711359)Peak memory usage: 89 MB
% 2.67/1.32 % (711359)Instructions burned: 116 (million)
% 2.67/1.32 % (711369)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=633551864:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.67/1.32 % (711370)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=974885732:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.67/1.32 % (711361)------------------------------
% 2.67/1.32 % (711361)------------------------------
% 2.67/1.32 % (711360)Refutation found. Thanks to Tanya!
% 2.67/1.32 % SZS status Unsatisfiable for theBenchmark
% 2.67/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.71/1.41 % (711360)------------------------------
% 3.71/1.41 % (711360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.71/1.41 % (711360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/1.41 % (711360)CaDiCaL version: 2.1.3
% 3.71/1.41 % (711360)Termination reason: Refutation
% 3.71/1.41 % (711360)Time elapsed: 0.024 s
% 3.71/1.41 % (711360)Peak memory usage: 89 MB
% 3.71/1.41 % (711360)Instructions burned: 38 (million)
% 3.71/1.41 % (711360)------------------------------
% 3.71/1.41 % (711360)------------------------------
% 3.71/1.41 % (711350)Success in time 0.447 s
% 3.71/1.41 % Vampire exiting
%------------------------------------------------------------------------------