%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP324-1 : 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 10:13:38 AM UTC 2026
% Result : Unsatisfiable 2.86s 1.25s
% Output : Refutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 57
% Syntax : Number of formulae : 339 ( 25 unt; 21 def)
% Number of atoms : 1011 ( 316 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1246 ( 574 ~; 651 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 41 ( 0 sgn 41 !; 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
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c7) = sk_c8
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f35]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c8,sk_c3) = sk_c7
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c3
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c8,sk_c7) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = inverse(sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c7) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c5) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,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
| multiply(sk_c8,sk_c7) != sk_c6
| multiply(X3,sk_c8) != sk_c7
| inverse(X3) != sk_c8
| inverse(sk_c8) != sk_c6
| multiply(X4,sk_c7) != sk_c6
| inverse(X4) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,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 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c6 != inverse(sk_c8)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,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 != multiply(sk_c8,sk_c7)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c6 != inverse(sk_c8)
| sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ),
inference(equality_resolution,[],[f78]) ).
fof(f81,definition,
( spl0_1
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f82,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,definition,
( spl0_2
<=> sk_c6 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f85,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( sk_c6 != inverse(sk_c8)
| spl0_2 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,definition,
( spl0_3
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f89,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f91,definition,
( spl0_4
<=> sk_c6 = multiply(sk_c8,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f92,plain,
( sk_c6 = multiply(sk_c8,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f93,plain,
( sk_c6 != multiply(sk_c8,sk_c7)
| spl0_4 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,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(f96,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c7 != multiply(sk_c8,multiply(X2,sk_c8)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,definition,
( spl0_6
<=> ! [X0] :
( sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f99,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c7)
| inverse(X0) != sk_c7 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,definition,
( spl0_7
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f102,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f103,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f104,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f79,f101,f98,f95,f91,f88,f84,f81]) ).
fof(f106,definition,
( spl0_8
<=> sk_c7 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f108,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f110,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f112,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f113,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f76,f110,f106]) ).
fof(f115,definition,
( spl0_10
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f117,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f74,f110,f115]) ).
fof(f119,plain,
( spl0_2
| spl0_9 ),
inference(avatar_split_clause,[],[f72,f110,f84]) ).
fof(f121,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f123,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f70,f110,f121]) ).
fof(f126,definition,
( spl0_12
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f128,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f68,f110,f126]) ).
fof(f130,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f66,f110,f91]) ).
fof(f132,definition,
( spl0_13
<=> sk_c3 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f134,plain,
( sk_c3 = multiply(sk_c2,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f64,f132,f106]) ).
fof(f136,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f62,f132,f115]) ).
fof(f137,plain,
( spl0_2
| spl0_13 ),
inference(avatar_split_clause,[],[f60,f132,f84]) ).
fof(f138,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f58,f132,f121]) ).
fof(f139,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f56,f132,f126]) ).
fof(f140,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f54,f132,f91]) ).
fof(f142,definition,
( spl0_14
<=> sk_c7 = multiply(sk_c8,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f144,plain,
( sk_c7 = multiply(sk_c8,sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f52,f142,f106]) ).
fof(f146,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f50,f142,f115]) ).
fof(f147,plain,
( spl0_2
| spl0_14 ),
inference(avatar_split_clause,[],[f48,f142,f84]) ).
fof(f148,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f46,f142,f121]) ).
fof(f149,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f44,f142,f126]) ).
fof(f150,plain,
( spl0_4
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f142,f91]) ).
fof(f152,definition,
( spl0_15
<=> sk_c7 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f154,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f157,plain,
( spl0_2
| spl0_15 ),
inference(avatar_split_clause,[],[f36,f152,f84]) ).
fof(f158,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f34,f152,f121]) ).
fof(f159,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f32,f152,f126]) ).
fof(f160,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f152,f91]) ).
fof(f162,definition,
( spl0_16
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f164,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f167,plain,
( spl0_2
| spl0_16 ),
inference(avatar_split_clause,[],[f24,f162,f84]) ).
fof(f168,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f22,f162,f121]) ).
fof(f169,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f20,f162,f126]) ).
fof(f170,plain,
( spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f18,f162,f91]) ).
fof(f171,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f101,f106]) ).
fof(f172,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f101,f115]) ).
fof(f173,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f12,f101,f84]) ).
fof(f174,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f10,f101,f121]) ).
fof(f175,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f101,f126]) ).
fof(f176,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f101,f91]) ).
fof(f177,plain,
( identity = multiply(sk_c6,sk_c8)
| ~ spl0_2 ),
inference(superposition,[],[f3,f85]) ).
fof(f178,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_8 ),
inference(superposition,[],[f3,f108]) ).
fof(f179,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f3,f123]) ).
fof(f181,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
| ~ spl0_4 ),
inference(superposition,[],[f4,f92]) ).
fof(f187,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f181,f1]) ).
fof(f189,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c8,X0))
| ~ spl0_2 ),
inference(superposition,[],[f4,f177]) ).
fof(f190,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c8,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f189,f1]) ).
fof(f193,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f179]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_11 ),
inference(forward_demodulation,[],[f193,f1]) ).
fof(f200,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f190,f92]) ).
fof(f230,plain,
( sk_c7 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_10 ),
inference(superposition,[],[f187,f117]) ).
fof(f231,plain,
( sk_c8 = multiply(inverse(sk_c4),sk_c7)
| ~ spl0_12 ),
inference(superposition,[],[f187,f128]) ).
fof(f235,plain,
( sk_c5 = multiply(inverse(sk_c7),identity)
| ~ spl0_8 ),
inference(superposition,[],[f187,f178]) ).
fof(f239,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f231,f123]) ).
fof(f240,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f230,f108]) ).
fof(f245,plain,
( sk_c8 = sk_c6
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f239,f92]) ).
fof(f249,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f187,f239]) ).
fof(f251,plain,
( identity = sk_c7
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f249,f3]) ).
fof(f254,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c6,sk_c6)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f183,f240]) ).
fof(f258,plain,
( sk_c7 = multiply(sk_c8,sk_c7)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f254,f200]) ).
fof(f260,plain,
( sk_c7 = sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f258,f239]) ).
fof(f280,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f235,f251]) ).
fof(f281,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f280,f3]) ).
fof(f282,plain,
( sk_c7 = sk_c5
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f281,f251]) ).
fof(f286,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f108,f282]) ).
fof(f304,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f117,f260]) ).
fof(f314,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f304,f282]) ).
fof(f319,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f314,f103]) ).
fof(f320,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f323,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c8 != multiply(sk_c8,multiply(X2,sk_c8)) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f96,f260]) ).
fof(f345,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,multiply(sk_c4,sk_c8))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f323,f123]) ).
fof(f346,plain,
( sk_c8 != multiply(sk_c8,multiply(sk_c4,sk_c8))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f345]) ).
fof(f347,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f346,f194]) ).
fof(f348,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f347]) ).
fof(f373,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f187,f134]) ).
fof(f375,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f373,f112]) ).
fof(f428,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f96,f112]) ).
fof(f429,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c2,sk_c8))
| ~ spl0_5
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f428]) ).
fof(f432,plain,
( sk_c7 != multiply(sk_c8,sk_c3)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f429,f134]) ).
fof(f438,definition,
( spl0_18
<=> sk_c7 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f439,plain,
( sk_c7 = sk_c8
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f446,plain,
( $false
| ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f432,f144]) ).
fof(f447,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f459,plain,
( sk_c8 != sk_c8
| sk_c7 != inverse(sk_c8)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f99,f239]) ).
fof(f461,plain,
( sk_c8 != sk_c8
| sk_c7 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_16 ),
inference(superposition,[],[f99,f164]) ).
fof(f462,plain,
( sk_c7 != sk_c8
| sk_c7 != inverse(identity)
| ~ spl0_6 ),
inference(superposition,[],[f99,f1]) ).
fof(f466,plain,
( sk_c7 != inverse(sk_c8)
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f459]) ).
fof(f468,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != sk_c8
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f462,f251]) ).
fof(f472,plain,
( sk_c7 != sk_c6
| ~ spl0_2
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f466,f85]) ).
fof(f474,plain,
( sk_c7 != sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f468,f286]) ).
fof(f476,plain,
( sk_c7 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f472,f245]) ).
fof(f478,plain,
( ~ spl0_18
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f474,f126,f121,f106,f98,f438]) ).
fof(f480,plain,
( ~ spl0_18
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f476,f126,f121,f98,f91,f84,f438]) ).
fof(f484,plain,
( sk_c8 != sk_c8
| sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f89,f123]) ).
fof(f489,plain,
( sk_c7 != multiply(sk_c4,sk_c8)
| ~ spl0_3
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f484]) ).
fof(f493,definition,
( spl0_19
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f494,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f495,plain,
( sk_c7 != multiply(sk_c1,sk_c8)
| spl0_19 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f498,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f489,f128]) ).
fof(f499,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f508,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f82,f245]) ).
fof(f509,plain,
( spl0_6
| ~ spl0_1
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f508,f126,f121,f91,f81,f98]) ).
fof(f512,definition,
( spl0_20
<=> sk_c7 = multiply(sk_c8,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f513,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f514,plain,
( sk_c7 != multiply(sk_c8,sk_c8)
| spl0_20 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f516,definition,
( spl0_21
<=> sk_c8 = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f534,plain,
( sk_c7 != sk_c8
| sk_c7 != multiply(sk_c1,sk_c8)
| ~ spl0_3
| ~ spl0_15 ),
inference(superposition,[],[f89,f154]) ).
fof(f559,plain,
( sk_c7 = sk_c8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f144,f375]) ).
fof(f563,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_13 ),
inference(superposition,[],[f187,f375]) ).
fof(f565,plain,
( identity = sk_c3
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_demodulation,[],[f563,f3]) ).
fof(f572,plain,
( ~ spl0_19
| ~ spl0_18
| ~ spl0_3
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f534,f152,f88,f438,f493]) ).
fof(f574,plain,
( spl0_18
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f559,f142,f132,f110,f438]) ).
fof(f575,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_18 ),
inference(superposition,[],[f92,f439]) ).
fof(f576,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_7
| ~ spl0_18 ),
inference(superposition,[],[f102,f439]) ).
fof(f578,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_16
| ~ spl0_18 ),
inference(superposition,[],[f164,f439]) ).
fof(f583,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_18
| spl0_19 ),
inference(forward_demodulation,[],[f495,f439]) ).
fof(f595,plain,
( $false
| ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f578,f583]) ).
fof(f596,plain,
( ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f597,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c7 != inverse(X4) )
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f82,f439]) ).
fof(f598,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f494,f439]) ).
fof(f599,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(X4,sk_c8) )
| ~ spl0_1
| ~ spl0_18 ),
inference(forward_demodulation,[],[f597,f439]) ).
fof(f600,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f187,f598]) ).
fof(f602,plain,
( sk_c8 = multiply(sk_c7,sk_c8)
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f600,f154]) ).
fof(f603,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f602,f439]) ).
fof(f604,plain,
( sk_c8 != sk_c6
| sk_c6 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_18 ),
inference(superposition,[],[f599,f85]) ).
fof(f687,plain,
( sk_c8 = sk_c6
| ~ spl0_4
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f575,f603]) ).
fof(f688,plain,
( sk_c7 != sk_c8
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| spl0_20 ),
inference(superposition,[],[f514,f603]) ).
fof(f694,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f187,f603]) ).
fof(f696,plain,
( identity = sk_c8
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f694,f3]) ).
fof(f700,plain,
( $false
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f688,f439]) ).
fof(f701,plain,
( ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f700]) ).
fof(f708,plain,
( sk_c8 != sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f604,f575]) ).
fof(f710,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f687,f493,f438,f152,f91,f516]) ).
fof(f711,plain,
( ~ spl0_21
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f708,f438,f91,f84,f81,f516]) ).
fof(f713,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_16 ),
inference(trivial_inequality_removal,[],[f461]) ).
fof(f716,plain,
( ~ spl0_15
| ~ spl0_6
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f713,f162,f98,f152]) ).
fof(f731,plain,
( spl0_18
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f260,f126,f121,f115,f106,f91,f84,f438]) ).
fof(f753,definition,
( spl0_27
<=> sk_c8 = sk_c3 ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f754,plain,
( sk_c8 = sk_c3
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f773,plain,
( sk_c8 = sk_c3
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f565,f696]) ).
fof(f775,plain,
( spl0_27
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f773,f493,f438,f152,f132,f110,f753]) ).
fof(f776,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f154,f439]) ).
fof(f779,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_15
| ~ spl0_18 ),
inference(superposition,[],[f3,f776]) ).
fof(f780,plain,
( sk_c3 = multiply(sk_c8,sk_c1)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18 ),
inference(forward_demodulation,[],[f779,f565]) ).
fof(f781,plain,
( sk_c8 = multiply(sk_c8,sk_c1)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27 ),
inference(forward_demodulation,[],[f780,f754]) ).
fof(f788,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f513,f439]) ).
fof(f803,plain,
( sk_c8 = sk_c6
| ~ spl0_7
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f576,f788]) ).
fof(f808,plain,
( sk_c1 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27 ),
inference(superposition,[],[f187,f781]) ).
fof(f810,plain,
( identity = sk_c1
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18
| ~ spl0_27 ),
inference(forward_demodulation,[],[f808,f3]) ).
fof(f812,plain,
( sk_c8 = sk_c1
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_27 ),
inference(forward_demodulation,[],[f810,f696]) ).
fof(f816,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_27 ),
inference(superposition,[],[f776,f812]) ).
fof(f846,plain,
( sk_c8 != sk_c6
| spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_27 ),
inference(superposition,[],[f86,f816]) ).
fof(f852,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_4
| ~ spl0_18 ),
inference(forward_demodulation,[],[f93,f439]) ).
fof(f854,plain,
( spl0_21
| ~ spl0_7
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f803,f512,f438,f101,f516]) ).
fof(f855,plain,
( ~ spl0_21
| spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f846,f753,f493,f438,f152,f132,f110,f84,f516]) ).
fof(f856,plain,
( sk_c8 != sk_c6
| spl0_4
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f852,f788]) ).
fof(f857,plain,
( ~ spl0_21
| spl0_4
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f856,f512,f438,f91,f516]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f104]) ).
cnf(s2,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f113]) ).
cnf(s3,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f118]) ).
cnf(s4,plain,
( spl0_2
| spl0_9 ),
inference(sat_conversion,[],[f119]) ).
cnf(s5,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f124]) ).
cnf(s6,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f129]) ).
cnf(s7,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f130]) ).
cnf(s8,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f135]) ).
cnf(s9,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s10,plain,
( spl0_2
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s11,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s12,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s13,plain,
( spl0_4
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s14,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f145]) ).
cnf(s15,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s16,plain,
( spl0_2
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s17,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s18,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s19,plain,
( spl0_4
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s22,plain,
( spl0_2
| spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s23,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f158]) ).
cnf(s24,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s25,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f160]) ).
cnf(s28,plain,
( spl0_2
| spl0_16 ),
inference(sat_conversion,[],[f167]) ).
cnf(s29,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s30,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s31,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f170]) ).
cnf(s32,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f171]) ).
cnf(s33,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f172]) ).
cnf(s34,plain,
( spl0_2
| spl0_7 ),
inference(sat_conversion,[],[f173]) ).
cnf(s35,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f174]) ).
cnf(s36,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f175]) ).
cnf(s37,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f176]) ).
cnf(s38,plain,
( ~ spl0_2
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f320]) ).
cnf(s39,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f348]) ).
cnf(s43,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f447]) ).
cnf(s48,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f478]) ).
cnf(s49,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_6
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f480]) ).
cnf(s53,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f499]) ).
cnf(s57,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_6
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f509]) ).
cnf(s64,plain,
( ~ spl0_3
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f572]) ).
cnf(s66,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f574]) ).
cnf(s69,plain,
( ~ spl0_16
| ~ spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f596]) ).
cnf(s70,plain,
( ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f701]) ).
cnf(s74,plain,
( ~ spl0_4
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| spl0_21 ),
inference(sat_conversion,[],[f710]) ).
cnf(s76,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_18
| ~ spl0_21 ),
inference(sat_conversion,[],[f711]) ).
cnf(s77,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f716]) ).
cnf(s85,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f731]) ).
cnf(s105,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| spl0_27 ),
inference(sat_conversion,[],[f775]) ).
cnf(s110,plain,
( ~ spl0_7
| ~ spl0_18
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f854]) ).
cnf(s112,plain,
( spl0_2
| ~ spl0_9
| ~ spl0_13
| ~ spl0_15
| ~ spl0_18
| ~ spl0_19
| ~ spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f855]) ).
cnf(s113,plain,
( spl0_4
| ~ spl0_18
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f857]) ).
cnf(s114,plain,
spl0_2,
inference(rat,[],[s110,s112,s105,s70,s69,s66,s4,s10,s16,s22,s28,s34]) ).
cnf(s115,plain,
spl0_4,
inference(rat,[],[s113,s110,s70,s69,s66,s7,s13,s19,s25,s31,s37]) ).
cnf(s116,plain,
spl0_7,
inference(rat,[],[s38,s32,s33,s35,s36,s114,s115]) ).
cnf(s117,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s85,s48,s114,s115]) ).
cnf(s118,plain,
( spl0_12
| ~ spl0_6 ),
inference(rat,[],[s77,s24,s30]) ).
cnf(s119,plain,
( spl0_11
| ~ spl0_6 ),
inference(rat,[],[s77,s23,s29]) ).
cnf(s120,plain,
( ~ spl0_11
| ~ spl0_8
| ~ spl0_12
| ~ spl0_6 ),
inference(rat,[],[s66,s3,s9,s15,s48,s117]) ).
cnf(s121,plain,
( ~ spl0_11
| ~ spl0_6
| ~ spl0_12 ),
inference(rat,[],[s66,s2,s8,s14,s49,s120,s115,s114]) ).
cnf(s122,plain,
~ spl0_6,
inference(rat,[],[s121,s119,s118]) ).
cnf(s123,plain,
( spl0_10
| ~ spl0_5 ),
inference(rat,[],[s43,s3,s9,s15]) ).
cnf(s124,plain,
( spl0_12
| ~ spl0_5 ),
inference(rat,[],[s43,s6,s12,s18]) ).
cnf(s125,plain,
( spl0_11
| ~ spl0_5 ),
inference(rat,[],[s43,s5,s11,s17]) ).
cnf(s126,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_10
| ~ spl0_5 ),
inference(rat,[],[s43,s2,s8,s14,s39,s114,s115]) ).
cnf(s127,plain,
~ spl0_5,
inference(rat,[],[s126,s125,s124,s123]) ).
cnf(s128,plain,
( spl0_12
| ~ spl0_3 ),
inference(rat,[],[s64,s69,s66,s6,s12,s18,s24,s30]) ).
cnf(s129,plain,
( ~ spl0_12
| ~ spl0_3 ),
inference(rat,[],[s64,s69,s66,s5,s11,s17,s23,s29,s53]) ).
cnf(s130,plain,
~ spl0_3,
inference(rat,[],[s129,s128]) ).
cnf(s131,plain,
spl0_1,
inference(rat,[],[s1,s114,s116,s122,s115,s127,s130]) ).
cnf(s132,plain,
spl0_12,
inference(rat,[],[s74,s76,s69,s66,s6,s12,s18,s24,s30,s115,s131,s114]) ).
cnf(s133,plain,
~ spl0_11,
inference(rat,[],[s57,s131,s115,s122,s132]) ).
cnf(s134,plain,
spl0_16,
inference(rat,[],[s29,s133]) ).
cnf(s135,plain,
spl0_15,
inference(rat,[],[s23,s133]) ).
cnf(s136,plain,
spl0_14,
inference(rat,[],[s17,s133]) ).
cnf(s137,plain,
spl0_13,
inference(rat,[],[s11,s133]) ).
cnf(s138,plain,
spl0_9,
inference(rat,[],[s5,s133]) ).
cnf(s139,plain,
spl0_18,
inference(rat,[],[s66,s136,s138,s137]) ).
cnf(s140,plain,
spl0_19,
inference(rat,[],[s69,s134,s139]) ).
cnf(s141,plain,
~ spl0_21,
inference(rat,[],[s76,s114,s115,s131,s139]) ).
cnf(s142,plain,
$false,
inference(rat,[],[s74,s115,s140,s135,s139,s141]) ).
fof(f858,plain,
$false,
inference(avatar_sat_refutation,[],[s142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP324-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:51:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 2.86/1.25 % (712200)Input is clausal, will run a generic CNF schedule.
% 2.86/1.25 % (712205)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=2007609001:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.86/1.25 % (712206)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2772374764:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.86/1.25 % (712210)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3731068023:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.86/1.25 % (712207)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1344176946:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.86/1.25 % (712208)lrs+10_1_sil=8000:sp=occurrence:random_seed=3183611124:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.86/1.25 % (712209)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4213550097:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.86/1.25 % (712208)Refutation not found, incomplete strategy
% 2.86/1.25 % (712208)------------------------------
% 2.86/1.25 % (712208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.25 % (712208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.25 % (712208)CaDiCaL version: 2.1.3
% 2.86/1.25 % (712208)Termination reason: Refutation not found, incomplete strategy
% 2.86/1.25 % (712208)Time elapsed: 0.003 s
% 2.86/1.25 % (712208)Peak memory usage: 88 MB
% 2.86/1.25 % (712208)Instructions burned: 3 (million)
% 2.86/1.25 % (712210)First to succeed.
% 2.86/1.25 % (712211)dis-21_1_sil=8000:lcm=predicate:random_seed=2264275645: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)
% 2.86/1.25 % (712211)Refutation not found, incomplete strategy
% 2.86/1.25 % (712211)------------------------------
% 2.86/1.25 % (712211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.25 % (712211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.25 % (712211)CaDiCaL version: 2.1.3
% 2.86/1.25 % (712211)Termination reason: Refutation not found, incomplete strategy
% 2.86/1.25 % (712211)Time elapsed: 0.002 s
% 2.86/1.25 % (712211)Peak memory usage: 88 MB
% 2.86/1.25 % (712211)Instructions burned: 2 (million)
% 2.86/1.25 % (712210)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-712200"
% 2.86/1.25 % (712209)Instruction limit reached!
% 2.86/1.25 % (712209)------------------------------
% 2.86/1.25 % (712209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.25 % (712209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.25 % (712209)CaDiCaL version: 2.1.3
% 2.86/1.25 % (712209)Termination reason: Instruction limit
% 2.86/1.25 % (712209)Termination phase: Saturation
% 2.86/1.25 % (712209)Time elapsed: 0.066 s
% 2.86/1.25 % (712209)Peak memory usage: 89 MB
% 2.86/1.25 % (712209)Instructions burned: 114 (million)
% 2.86/1.25 % (712219)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=3670935996:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.86/1.25 % (712219)Refutation not found, incomplete strategy
% 2.86/1.25 % (712219)------------------------------
% 2.86/1.25 % (712219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.86/1.25 % (712219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.86/1.25 % (712219)CaDiCaL version: 2.1.3
% 2.86/1.25 % (712219)Termination reason: Refutation not found, incomplete strategy
% 2.86/1.25 % (712219)Time elapsed: 0.003 s
% 2.86/1.25 % (712219)Peak memory usage: 88 MB
% 2.86/1.25 % (712219)Instructions burned: 3 (million)
% 2.86/1.25 % (712208)------------------------------
% 2.86/1.25 % (712208)------------------------------
% 2.86/1.25 % (712211)------------------------------
% 2.86/1.25 % (712211)------------------------------
% 2.86/1.25 % (712210)Refutation found. Thanks to Tanya!
% 2.86/1.25 % SZS status Unsatisfiable for theBenchmark
% 2.86/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.55/1.45 % (712210)------------------------------
% 3.55/1.45 % (712210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.55/1.45 % (712210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.55/1.45 % (712210)CaDiCaL version: 2.1.3
% 3.55/1.45 % (712210)Termination reason: Refutation
% 3.55/1.45 % (712210)Time elapsed: 0.021 s
% 3.55/1.45 % (712210)Peak memory usage: 90 MB
% 3.55/1.45 % (712210)Instructions burned: 31 (million)
% 3.55/1.45 % (712210)------------------------------
% 3.55/1.45 % (712210)------------------------------
% 3.55/1.45 % (712200)Success in time 0.418 s
% 3.55/1.45 % Vampire exiting
%------------------------------------------------------------------------------