%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP369-1 : 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 : n004.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 10:13:46 AM UTC 2026
% Result : Unsatisfiable 2.78s 1.28s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 65
% Syntax : Number of formulae : 452 ( 25 unt; 21 def)
% Number of atoms : 1718 ( 431 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 2462 (1196 ~;1245 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 72 !; 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_c9) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f11,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c7,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c9,sk_c2) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c2
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( multiply(sk_c3,sk_c7) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c8) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f80,plain,
( sk_c7 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f82,plain,
( sk_c7 = inverse(sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( sk_c7 = inverse(sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f86,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f88,plain,
( sk_c7 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c7,sk_c9) != sk_c8
| multiply(sk_c9,X0) != sk_c8
| multiply(X1,sk_c9) != X0
| inverse(X1) != sk_c9
| multiply(X2,sk_c7) != sk_c9
| inverse(X2) != sk_c7
| inverse(sk_c8) != sk_c7
| multiply(X3,sk_c8) != sk_c7
| inverse(X3) != sk_c8
| multiply(X4,sk_c8) != sk_c9
| inverse(X4) != sk_c8
| multiply(X5,sk_c9) != sk_c7
| inverse(X5) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f90,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c7,sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,X0)
| multiply(X1,sk_c9) != X0
| sk_c9 != inverse(X1)
| sk_c9 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != inverse(sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,plain,
! [X2,X3,X1,X4,X5] :
( multiply(sk_c7,sk_c9) != sk_c8
| sk_c8 != multiply(sk_c9,multiply(X1,sk_c9))
| sk_c9 != inverse(X1)
| sk_c9 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != inverse(sk_c8)
| sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3)
| sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c7 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ),
inference(equality_resolution,[],[f90]) ).
fof(f93,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f94,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,definition,
( spl0_2
<=> ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f97,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,definition,
( spl0_3
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f100,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f102,definition,
( spl0_4
<=> sk_c7 = inverse(sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f103,plain,
( sk_c7 = inverse(sk_c8)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f104,plain,
( sk_c7 != inverse(sk_c8)
| spl0_4 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f106,definition,
( spl0_5
<=> ! [X2] :
( sk_c9 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f107,plain,
( ! [X2] :
( sk_c9 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f109,definition,
( spl0_6
<=> ! [X1] :
( sk_c8 != multiply(sk_c9,multiply(X1,sk_c9))
| sk_c9 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f110,plain,
( ! [X1] :
( sk_c8 != multiply(sk_c9,multiply(X1,sk_c9))
| sk_c9 != inverse(X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,definition,
( spl0_7
<=> multiply(sk_c7,sk_c9) = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f113,plain,
( multiply(sk_c7,sk_c9) = sk_c8
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( multiply(sk_c7,sk_c9) != sk_c8
| spl0_7 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f91,f112,f109,f106,f102,f99,f96,f93]) ).
fof(f117,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f119,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f121,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f123,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f88,f121,f117]) ).
fof(f126,definition,
( spl0_10
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f128,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f129,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f86,f121,f126]) ).
fof(f131,definition,
( spl0_11
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f133,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f84,f121,f131]) ).
fof(f136,definition,
( spl0_12
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f138,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f139,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f82,f121,f136]) ).
fof(f141,definition,
( spl0_13
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f143,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f144,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f80,f121,f141]) ).
fof(f146,definition,
( spl0_14
<=> sk_c7 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f148,plain,
( sk_c7 = multiply(sk_c4,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f149,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f78,f121,f146]) ).
fof(f150,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f76,f121,f102]) ).
fof(f152,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f154,plain,
( sk_c9 = multiply(sk_c3,sk_c7)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f74,f152,f117]) ).
fof(f156,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f72,f152,f126]) ).
fof(f157,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f70,f152,f131]) ).
fof(f158,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f68,f152,f136]) ).
fof(f159,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f66,f152,f141]) ).
fof(f160,plain,
( spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f64,f152,f146]) ).
fof(f161,plain,
( spl0_4
| spl0_15 ),
inference(avatar_split_clause,[],[f62,f152,f102]) ).
fof(f163,definition,
( spl0_16
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f165,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f60,f163,f117]) ).
fof(f167,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f58,f163,f126]) ).
fof(f168,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f56,f163,f131]) ).
fof(f169,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f54,f163,f136]) ).
fof(f170,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f52,f163,f141]) ).
fof(f171,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f50,f163,f146]) ).
fof(f172,plain,
( spl0_4
| spl0_16 ),
inference(avatar_split_clause,[],[f48,f163,f102]) ).
fof(f174,definition,
( spl0_17
<=> sk_c2 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f176,plain,
( sk_c2 = multiply(sk_c1,sk_c9)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
( spl0_8
| spl0_17 ),
inference(avatar_split_clause,[],[f46,f174,f117]) ).
fof(f178,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f44,f174,f126]) ).
fof(f179,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f42,f174,f131]) ).
fof(f180,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f40,f174,f136]) ).
fof(f181,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f38,f174,f141]) ).
fof(f182,plain,
( spl0_14
| spl0_17 ),
inference(avatar_split_clause,[],[f36,f174,f146]) ).
fof(f183,plain,
( spl0_4
| spl0_17 ),
inference(avatar_split_clause,[],[f34,f174,f102]) ).
fof(f185,definition,
( spl0_18
<=> sk_c8 = multiply(sk_c9,sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f187,plain,
( sk_c8 = multiply(sk_c9,sk_c2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f188,plain,
( spl0_8
| spl0_18 ),
inference(avatar_split_clause,[],[f32,f185,f117]) ).
fof(f189,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f30,f185,f126]) ).
fof(f190,plain,
( spl0_11
| spl0_18 ),
inference(avatar_split_clause,[],[f28,f185,f131]) ).
fof(f191,plain,
( spl0_12
| spl0_18 ),
inference(avatar_split_clause,[],[f26,f185,f136]) ).
fof(f192,plain,
( spl0_13
| spl0_18 ),
inference(avatar_split_clause,[],[f24,f185,f141]) ).
fof(f193,plain,
( spl0_14
| spl0_18 ),
inference(avatar_split_clause,[],[f22,f185,f146]) ).
fof(f194,plain,
( spl0_4
| spl0_18 ),
inference(avatar_split_clause,[],[f20,f185,f102]) ).
fof(f195,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f18,f112,f117]) ).
fof(f196,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f112,f126]) ).
fof(f197,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f112,f131]) ).
fof(f198,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f12,f112,f136]) ).
fof(f201,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f112,f102]) ).
fof(f202,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_4 ),
inference(superposition,[],[f3,f103]) ).
fof(f203,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_13 ),
inference(superposition,[],[f3,f143]) ).
fof(f204,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_11 ),
inference(superposition,[],[f3,f133]) ).
fof(f208,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f209,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
| ~ spl0_4 ),
inference(superposition,[],[f4,f202]) ).
fof(f211,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c8,X0))
| ~ spl0_12 ),
inference(superposition,[],[f4,f138]) ).
fof(f213,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f209,f1]) ).
fof(f214,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f208,f1]) ).
fof(f228,plain,
( sk_c4 = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_13 ),
inference(superposition,[],[f213,f203]) ).
fof(f250,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f214,f3]) ).
fof(f251,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f214,f214]) ).
fof(f252,plain,
( sk_c8 = multiply(inverse(sk_c7),identity)
| ~ spl0_4 ),
inference(superposition,[],[f214,f202]) ).
fof(f257,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f214,f204]) ).
fof(f260,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl0_12 ),
inference(superposition,[],[f214,f138]) ).
fof(f262,plain,
( sk_c9 = multiply(inverse(sk_c6),sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f214,f128]) ).
fof(f267,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f262,f119]) ).
fof(f269,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f260,f133]) ).
fof(f272,plain,
( sk_c5 = multiply(sk_c7,identity)
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f257,f103]) ).
fof(f274,plain,
( sk_c4 = sk_c5
| ~ spl0_4
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f272,f228]) ).
fof(f280,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f214,f267]) ).
fof(f282,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f280,f3]) ).
fof(f284,plain,
( multiply(sk_c5,sk_c8) = multiply(sk_c9,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f211,f269]) ).
fof(f287,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f214,f269]) ).
fof(f289,plain,
( identity = sk_c9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f287,f3]) ).
fof(f291,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f284,f138]) ).
fof(f302,plain,
( sk_c7 = sk_c9
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f289,f282]) ).
fof(f306,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f252,f282]) ).
fof(f307,plain,
( identity = sk_c8
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f306,f3]) ).
fof(f308,plain,
( sk_c9 = sk_c8
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f307,f289]) ).
fof(f452,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c7) = X0
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f250,f282]) ).
fof(f453,plain,
( ! [X0] : multiply(inverse(inverse(X0)),sk_c9) = X0
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f452,f302]) ).
fof(f482,plain,
( ! [X0] : multiply(X0,sk_c9) = X0
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f251,f453]) ).
fof(f511,plain,
( sk_c7 != sk_c8
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f114,f482]) ).
fof(f531,plain,
( sk_c7 != sk_c9
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f511,f308]) ).
fof(f536,plain,
( $false
| ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f531,f302]) ).
fof(f537,plain,
( ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f536]) ).
fof(f554,plain,
( sk_c7 = sk_c8
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f307,f282]) ).
fof(f560,plain,
( identity = multiply(sk_c9,sk_c1)
| ~ spl0_16 ),
inference(superposition,[],[f3,f165]) ).
fof(f572,plain,
( sk_c8 = multiply(sk_c8,sk_c9)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f113,f554]) ).
fof(f574,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c2)
| ~ spl0_17 ),
inference(superposition,[],[f214,f176]) ).
fof(f576,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f574,f165]) ).
fof(f599,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f214,f572]) ).
fof(f601,plain,
( identity = sk_c9
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f599,f3]) ).
fof(f605,plain,
( sk_c9 = sk_c8
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f601,f307]) ).
fof(f606,plain,
( sk_c7 = sk_c9
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f601,f282]) ).
fof(f651,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f267,f606]) ).
fof(f666,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c9)
| sk_c8 != inverse(X3) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f100,f605]) ).
fof(f667,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c8 != inverse(X3) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f666,f554]) ).
fof(f668,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c9)
| sk_c8 != inverse(X3) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f667,f605]) ).
fof(f669,plain,
( ! [X3] :
( sk_c9 != inverse(X3)
| sk_c9 != multiply(X3,sk_c9) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f668,f605]) ).
fof(f677,plain,
( sk_c7 != sk_c9
| sk_c9 != multiply(sk_c8,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f669,f103]) ).
fof(f689,plain,
( sk_c9 != multiply(sk_c8,sk_c9)
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f677,f606]) ).
fof(f695,plain,
( sk_c9 != sk_c8
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f689,f572]) ).
fof(f696,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f695,f605]) ).
fof(f697,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f696]) ).
fof(f701,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c9,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f113]) ).
fof(f702,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c9)
| ~ spl0_15 ),
inference(superposition,[],[f214,f154]) ).
fof(f704,plain,
( sk_c7 = multiply(sk_c7,sk_c9)
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f702,f123]) ).
fof(f705,plain,
( sk_c7 = sk_c8
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(forward_demodulation,[],[f704,f113]) ).
fof(f706,plain,
( sk_c7 != sk_c8
| sk_c8 != inverse(identity)
| ~ spl0_3 ),
inference(superposition,[],[f100,f1]) ).
fof(f713,definition,
( spl0_19
<=> sk_c7 = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f714,plain,
( sk_c7 = sk_c8
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f715,plain,
( sk_c7 != sk_c8
| spl0_19 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f717,definition,
( spl0_20
<=> sk_c8 = inverse(sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f718,plain,
( sk_c8 = inverse(sk_c7)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f719,plain,
( sk_c8 != inverse(sk_c7)
| spl0_20 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f727,plain,
( spl0_19
| ~ spl0_7
| ~ spl0_9
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f705,f152,f121,f112,f713]) ).
fof(f733,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_19
| spl0_20 ),
inference(forward_demodulation,[],[f719,f714]) ).
fof(f746,plain,
( sk_c8 != inverse(identity)
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f706,f714]) ).
fof(f771,plain,
( sk_c9 = sk_c8
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f576,f187]) ).
fof(f775,plain,
( sk_c2 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f214,f576]) ).
fof(f777,plain,
( identity = sk_c2
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f775,f3]) ).
fof(f790,plain,
( sk_c7 != inverse(sk_c9)
| spl0_4
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f104,f771]) ).
fof(f795,plain,
( sk_c9 != inverse(sk_c9)
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| spl0_20 ),
inference(superposition,[],[f733,f771]) ).
fof(f799,plain,
( sk_c8 != inverse(sk_c9)
| spl0_4
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f790,f714]) ).
fof(f802,plain,
( sk_c9 != inverse(sk_c9)
| spl0_4
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f799,f771]) ).
fof(f804,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c9,X0))
| ~ spl0_7
| ~ spl0_19 ),
inference(forward_demodulation,[],[f701,f714]) ).
fof(f805,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f804,f771]) ).
fof(f815,plain,
( identity = multiply(sk_c9,identity)
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f805,f560]) ).
fof(f818,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(inverse(sk_c9),multiply(sk_c9,X0))
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f214,f805]) ).
fof(f821,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f818,f214]) ).
fof(f824,plain,
( sk_c2 = multiply(sk_c9,sk_c2)
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f815,f777]) ).
fof(f828,plain,
( sk_c8 = sk_c2
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f824,f187]) ).
fof(f830,plain,
( sk_c9 = sk_c2
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f828,f771]) ).
fof(f878,definition,
( spl0_24
<=> sk_c9 = multiply(sk_c9,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f936,plain,
( identity = sk_c1
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f560,f821]) ).
fof(f937,plain,
( sk_c2 = sk_c1
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f936,f777]) ).
fof(f947,plain,
( sk_c9 = sk_c1
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f937,f830]) ).
fof(f956,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f165,f947]) ).
fof(f957,plain,
( $false
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f956,f795]) ).
fof(f958,plain,
( ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f957]) ).
fof(f962,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f718,f714]) ).
fof(f965,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f962,f771]) ).
fof(f968,plain,
( identity = multiply(sk_c9,sk_c9)
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f3,f965]) ).
fof(f969,plain,
( identity = sk_c9
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f968,f821]) ).
fof(f973,plain,
( sk_c8 != inverse(sk_c9)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(superposition,[],[f746,f969]) ).
fof(f975,plain,
( sk_c9 != sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f973,f965]) ).
fof(f976,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f975,f771]) ).
fof(f977,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f983,plain,
( $false
| spl0_4
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f802,f965]) ).
fof(f984,plain,
( spl0_4
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f983]) ).
fof(f985,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c9)
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f97,f771]) ).
fof(f988,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c9) )
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f985,f771]) ).
fof(f1002,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(superposition,[],[f988,f165]) ).
fof(f1004,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(trivial_inequality_removal,[],[f1002]) ).
fof(f1007,plain,
( sk_c9 != sk_c2
| ~ spl0_2
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18 ),
inference(forward_demodulation,[],[f1004,f176]) ).
fof(f1013,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1007,f830]) ).
fof(f1014,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1013]) ).
fof(f1016,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c9)
| sk_c9 != inverse(X1) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f110,f821]) ).
fof(f1017,plain,
( ! [X1] :
( sk_c9 != inverse(X1)
| sk_c9 != multiply(X1,sk_c9) )
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1016,f771]) ).
fof(f1021,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f1017,f165]) ).
fof(f1023,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1021]) ).
fof(f1026,plain,
( sk_c9 != sk_c2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1023,f176]) ).
fof(f1032,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1026,f830]) ).
fof(f1033,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1032]) ).
fof(f1035,plain,
( ! [X2] :
( sk_c9 != multiply(X2,sk_c8)
| sk_c7 != inverse(X2) )
| ~ spl0_5
| ~ spl0_19 ),
inference(forward_demodulation,[],[f107,f714]) ).
fof(f1036,plain,
( ! [X2] :
( sk_c9 != multiply(X2,sk_c9)
| sk_c7 != inverse(X2) )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1035,f771]) ).
fof(f1037,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c9 != multiply(X2,sk_c9) )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1036,f714]) ).
fof(f1038,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c9 != multiply(X2,sk_c9) )
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1037,f771]) ).
fof(f1042,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f1038,f165]) ).
fof(f1044,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1042]) ).
fof(f1047,plain,
( sk_c9 != sk_c2
| ~ spl0_5
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1044,f176]) ).
fof(f1053,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1047,f830]) ).
fof(f1054,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1053]) ).
fof(f1056,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) )
| ~ spl0_1
| ~ spl0_19 ),
inference(forward_demodulation,[],[f94,f714]) ).
fof(f1057,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1056,f771]) ).
fof(f1062,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f1057,f165]) ).
fof(f1064,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_1
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1062]) ).
fof(f1067,plain,
( sk_c9 != sk_c2
| ~ spl0_1
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1064,f176]) ).
fof(f1073,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1067,f830]) ).
fof(f1074,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1073]) ).
fof(f1084,plain,
( spl0_24
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f651,f126,f117,f112,f102,f878]) ).
fof(f1101,plain,
( sk_c9 = multiply(sk_c4,sk_c8)
| ~ spl0_4
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f138,f274]) ).
fof(f1104,plain,
( spl0_24
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f291,f136,f131,f878]) ).
fof(f1111,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f103,f714]) ).
fof(f1139,plain,
( sk_c9 = inverse(sk_c9)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1111,f308]) ).
fof(f1167,plain,
( sk_c9 = multiply(sk_c4,sk_c9)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1101,f308]) ).
fof(f1191,plain,
( ! [X1] :
( sk_c9 != inverse(X1)
| sk_c9 != multiply(sk_c9,multiply(X1,sk_c9)) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f110,f308]) ).
fof(f1193,plain,
( sk_c9 != sk_c8
| sk_c9 != multiply(sk_c9,multiply(sk_c4,sk_c9))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1191,f143]) ).
fof(f1195,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c6,sk_c9))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1191,f119]) ).
fof(f1197,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c6,sk_c9))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f1195]) ).
fof(f1200,plain,
( sk_c9 != multiply(sk_c9,sk_c7)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1197,f128]) ).
fof(f1202,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c4,sk_c9))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1193,f308]) ).
fof(f1204,plain,
( sk_c9 != multiply(sk_c9,sk_c8)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1200,f714]) ).
fof(f1206,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1202,f1167]) ).
fof(f1207,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1204,f308]) ).
fof(f1209,plain,
( ~ spl0_24
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1206,f141,f136,f131,f126,f117,f109,f102,f878]) ).
fof(f1210,plain,
( ~ spl0_24
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1207,f713,f136,f131,f126,f117,f109,f102,f878]) ).
fof(f1211,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c9)
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f97,f308]) ).
fof(f1212,plain,
( ! [X4] :
( sk_c9 != inverse(X4)
| sk_c9 != multiply(X4,sk_c9) )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1211,f308]) ).
fof(f1213,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f1212,f1139]) ).
fof(f1215,plain,
( sk_c9 != sk_c8
| sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f1212,f133]) ).
fof(f1219,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1213]) ).
fof(f1222,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f1215,f308]) ).
fof(f1224,plain,
( ~ spl0_24
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1219,f713,f136,f131,f126,f117,f102,f96,f878]) ).
fof(f1228,plain,
( sk_c9 != multiply(sk_c4,sk_c9)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1222,f274]) ).
fof(f1232,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1228,f1167]) ).
fof(f1233,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1232]) ).
fof(f1235,plain,
( ! [X2] :
( sk_c9 != multiply(X2,sk_c9)
| sk_c7 != inverse(X2) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1035,f308]) ).
fof(f1237,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| sk_c9 != multiply(X2,sk_c9) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1235,f714]) ).
fof(f1239,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c9 != multiply(X2,sk_c9) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1237,f308]) ).
fof(f1241,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f1239,f1139]) ).
fof(f1243,plain,
( sk_c9 != sk_c8
| sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(superposition,[],[f1239,f133]) ).
fof(f1247,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f1241]) ).
fof(f1250,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1243,f308]) ).
fof(f1252,plain,
( ~ spl0_24
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f1247,f713,f136,f131,f126,f117,f106,f102,f878]) ).
fof(f1256,plain,
( sk_c9 != multiply(sk_c4,sk_c9)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f1250,f274]) ).
fof(f1260,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f1256,f1167]) ).
fof(f1261,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f1260]) ).
fof(f1262,plain,
( sk_c7 != sk_c9
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_19 ),
inference(forward_demodulation,[],[f715,f308]) ).
fof(f1275,plain,
( sk_c7 = multiply(sk_c4,sk_c9)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f148,f308]) ).
fof(f1286,plain,
( sk_c7 = sk_c9
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1275,f1167]) ).
fof(f1294,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_19 ),
inference(forward_subsumption_resolution,[],[f1262,f1286]) ).
fof(f1295,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1296,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c9 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f94,f1286]) ).
fof(f1349,plain,
( sk_c9 != sk_c8
| sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f1296,f133]) ).
fof(f1354,plain,
( sk_c9 != multiply(sk_c5,sk_c9)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1349,f308]) ).
fof(f1359,plain,
( sk_c9 != multiply(sk_c4,sk_c9)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1354,f274]) ).
fof(f1362,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1359,f1167]) ).
fof(f1363,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f1362]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| ~ spl0_4
| spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f115]) ).
cnf(s2,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f124]) ).
cnf(s3,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f129]) ).
cnf(s4,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f134]) ).
cnf(s5,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f139]) ).
cnf(s6,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f144]) ).
cnf(s7,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s8,plain,
( spl0_4
| spl0_9 ),
inference(sat_conversion,[],[f150]) ).
cnf(s9,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f155]) ).
cnf(s10,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f156]) ).
cnf(s11,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s12,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f158]) ).
cnf(s13,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s14,plain,
( spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f160]) ).
cnf(s15,plain,
( spl0_4
| spl0_15 ),
inference(sat_conversion,[],[f161]) ).
cnf(s16,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f166]) ).
cnf(s17,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f167]) ).
cnf(s18,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s19,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s20,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f170]) ).
cnf(s21,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f171]) ).
cnf(s22,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f172]) ).
cnf(s23,plain,
( spl0_8
| spl0_17 ),
inference(sat_conversion,[],[f177]) ).
cnf(s24,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f178]) ).
cnf(s25,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f179]) ).
cnf(s26,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f180]) ).
cnf(s27,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f181]) ).
cnf(s28,plain,
( spl0_14
| spl0_17 ),
inference(sat_conversion,[],[f182]) ).
cnf(s29,plain,
( spl0_4
| spl0_17 ),
inference(sat_conversion,[],[f183]) ).
cnf(s30,plain,
( spl0_8
| spl0_18 ),
inference(sat_conversion,[],[f188]) ).
cnf(s31,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f189]) ).
cnf(s32,plain,
( spl0_11
| spl0_18 ),
inference(sat_conversion,[],[f190]) ).
cnf(s33,plain,
( spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f191]) ).
cnf(s34,plain,
( spl0_13
| spl0_18 ),
inference(sat_conversion,[],[f192]) ).
cnf(s35,plain,
( spl0_14
| spl0_18 ),
inference(sat_conversion,[],[f193]) ).
cnf(s36,plain,
( spl0_4
| spl0_18 ),
inference(sat_conversion,[],[f194]) ).
cnf(s37,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f195]) ).
cnf(s38,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f196]) ).
cnf(s39,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f197]) ).
cnf(s40,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f198]) ).
cnf(s43,plain,
( spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f201]) ).
cnf(s44,plain,
( ~ spl0_4
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f537]) ).
cnf(s52,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f697]) ).
cnf(s55,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f727]) ).
cnf(s61,plain,
( ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f958]) ).
cnf(s62,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f977]) ).
cnf(s63,plain,
( spl0_4
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f984]) ).
cnf(s66,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f1014]) ).
cnf(s69,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f1033]) ).
cnf(s72,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f1054]) ).
cnf(s75,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s78,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| spl0_24 ),
inference(sat_conversion,[],[f1084]) ).
cnf(s95,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_24 ),
inference(sat_conversion,[],[f1104]) ).
cnf(s110,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_24 ),
inference(sat_conversion,[],[f1209]) ).
cnf(s111,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19
| ~ spl0_24 ),
inference(sat_conversion,[],[f1210]) ).
cnf(s113,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19
| ~ spl0_24 ),
inference(sat_conversion,[],[f1224]) ).
cnf(s117,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1233]) ).
cnf(s118,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_19
| ~ spl0_24 ),
inference(sat_conversion,[],[f1252]) ).
cnf(s122,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(sat_conversion,[],[f1261]) ).
cnf(s124,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| spl0_19 ),
inference(sat_conversion,[],[f1295]) ).
cnf(s149,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f1363]) ).
cnf(s150,plain,
spl0_4,
inference(rat,[],[s63,s61,s55,s8,s15,s22,s29,s36,s43]) ).
cnf(s151,plain,
spl0_7,
inference(rat,[],[s44,s37,s38,s39,s40,s150]) ).
cnf(s152,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s13,s55,s110,s111,s78,s151,s150]) ).
cnf(s153,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s55,s69,s12,s19,s26,s33,s151]) ).
cnf(s154,plain,
( spl0_11
| ~ spl0_9
| ~ spl0_6 ),
inference(rat,[],[s55,s69,s11,s18,s25,s32,s151]) ).
cnf(s155,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_6
| ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s55,s69,s10,s17,s24,s31,s152,s151]) ).
cnf(s156,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s155,s154,s153]) ).
cnf(s157,plain,
( ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s111,s95,s124,s3,s4,s5,s6,s7,s156,s150]) ).
cnf(s158,plain,
~ spl0_6,
inference(rat,[],[s55,s69,s2,s9,s16,s23,s30,s157,s151]) ).
cnf(s159,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_11
| ~ spl0_9
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s124,s13,s14,s55,s118,s95,s150,s151]) ).
cnf(s160,plain,
( spl0_10
| ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s55,s72,s10,s17,s24,s31,s151]) ).
cnf(s161,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_5 ),
inference(rat,[],[s55,s72,s12,s19,s26,s33,s151]) ).
cnf(s162,plain,
( ~ spl0_12
| ~ spl0_10
| ~ spl0_5
| ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s55,s72,s11,s18,s25,s32,s159,s151]) ).
cnf(s163,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s162,s161,s160]) ).
cnf(s164,plain,
( ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s122,s124,s3,s4,s5,s6,s7,s163,s150]) ).
cnf(s165,plain,
~ spl0_5,
inference(rat,[],[s55,s72,s2,s9,s16,s23,s30,s164,s151]) ).
cnf(s166,plain,
( spl0_10
| ~ spl0_3 ),
inference(rat,[],[s62,s61,s55,s3,s10,s17,s24,s31,s151]) ).
cnf(s167,plain,
( ~ spl0_10
| ~ spl0_3 ),
inference(rat,[],[s62,s61,s55,s2,s9,s16,s23,s30,s52,s150,s151]) ).
cnf(s168,plain,
~ spl0_3,
inference(rat,[],[s167,s166]) ).
cnf(s169,plain,
( spl0_19
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s124,s11,s12,s13,s14,s55,s150,s151]) ).
cnf(s170,plain,
( spl0_11
| ~ spl0_19
| ~ spl0_2 ),
inference(rat,[],[s66,s18,s25,s32,s151]) ).
cnf(s171,plain,
( ~ spl0_11
| ~ spl0_24
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_19 ),
inference(rat,[],[s66,s19,s26,s33,s113,s150,s151]) ).
cnf(s172,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s171,s170,s169,s78,s150,s151]) ).
cnf(s173,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s55,s66,s10,s17,s24,s31,s172,s151]) ).
cnf(s174,plain,
( ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s117,s3,s4,s5,s6,s173,s150]) ).
cnf(s175,plain,
~ spl0_2,
inference(rat,[],[s55,s66,s2,s9,s16,s23,s30,s174,s151]) ).
cnf(s176,plain,
spl0_1,
inference(rat,[],[s1,s151,s150,s165,s158,s168,s175]) ).
cnf(s177,plain,
( spl0_18
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s149,s34,s35,s176,s150]) ).
cnf(s178,plain,
( spl0_17
| ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s149,s27,s28,s176,s150]) ).
cnf(s179,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_19
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s149,s20,s21,s75,s178,s177,s176,s150,s151]) ).
cnf(s180,plain,
( spl0_12
| ~ spl0_19 ),
inference(rat,[],[s75,s19,s26,s33,s151,s176]) ).
cnf(s181,plain,
( ~ spl0_12
| ~ spl0_19
| ~ spl0_8
| ~ spl0_10 ),
inference(rat,[],[s75,s18,s25,s32,s179,s176,s151]) ).
cnf(s182,plain,
( ~ spl0_19
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s181,s180]) ).
cnf(s183,plain,
( spl0_19
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s149,s4,s5,s6,s7,s169,s150,s176]) ).
cnf(s184,plain,
( ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s183,s182]) ).
cnf(s185,plain,
spl0_10,
inference(rat,[],[s55,s75,s3,s10,s17,s24,s31,s151,s176]) ).
cnf(s186,plain,
~ spl0_8,
inference(rat,[],[s184,s185]) ).
cnf(s187,plain,
spl0_18,
inference(rat,[],[s30,s186]) ).
cnf(s188,plain,
spl0_17,
inference(rat,[],[s23,s186]) ).
cnf(s189,plain,
spl0_16,
inference(rat,[],[s16,s186]) ).
cnf(s190,plain,
spl0_15,
inference(rat,[],[s9,s186]) ).
cnf(s191,plain,
spl0_9,
inference(rat,[],[s2,s186]) ).
cnf(s192,plain,
~ spl0_19,
inference(rat,[],[s75,s187,s188,s176,s151,s189]) ).
cnf(s193,plain,
$false,
inference(rat,[],[s55,s192,s151,s191,s190]) ).
fof(f1364,plain,
$false,
inference(avatar_sat_refutation,[],[s193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP369-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n004.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:57:37 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.78/1.28 % (3264726)Input is clausal, will run a generic CNF schedule.
% 2.78/1.28 % (3264733)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3621043020:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.78/1.28 % (3264734)lrs+10_1_sil=8000:sp=occurrence:random_seed=1173809194:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.78/1.28 % (3264734)Refutation not found, incomplete strategy
% 2.78/1.28 % (3264734)------------------------------
% 2.78/1.28 % (3264734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.28 % (3264734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.28 % (3264734)CaDiCaL version: 2.1.3
% 2.78/1.28 % (3264734)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.28 % (3264734)Time elapsed: 0.003 s
% 2.78/1.28 % (3264734)Peak memory usage: 88 MB
% 2.78/1.28 % (3264734)Instructions burned: 3 (million)
% 2.78/1.28 % (3264736)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2286382779:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.78/1.28 % (3264731)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=1049059922:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.78/1.28 % (3264732)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2656917178:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.78/1.28 % (3264737)dis-21_1_sil=8000:lcm=predicate:random_seed=952155230: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)
% 2.78/1.28 % (3264735)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1136566027:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.78/1.28 % (3264737)Refutation not found, incomplete strategy
% 2.78/1.28 % (3264737)------------------------------
% 2.78/1.28 % (3264737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.28 % (3264737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.28 % (3264737)CaDiCaL version: 2.1.3
% 2.78/1.28 % (3264737)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.28 % (3264737)Time elapsed: 0.002 s
% 2.78/1.28 % (3264737)Peak memory usage: 88 MB
% 2.78/1.28 % (3264737)Instructions burned: 2 (million)
% 2.78/1.28 % (3264736)First to succeed.
% 2.78/1.28 % (3264736)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3264726"
% 2.78/1.28 % (3264735)Instruction limit reached!
% 2.78/1.28 % (3264735)------------------------------
% 2.78/1.28 % (3264735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.28 % (3264735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.28 % (3264735)CaDiCaL version: 2.1.3
% 2.78/1.28 % (3264735)Termination reason: Instruction limit
% 2.78/1.28 % (3264735)Termination phase: Saturation
% 2.78/1.28 % (3264735)Time elapsed: 0.065 s
% 2.78/1.28 % (3264735)Peak memory usage: 89 MB
% 2.78/1.28 % (3264735)Instructions burned: 115 (million)
% 2.78/1.28 % (3264745)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=345840183:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.78/1.28 % (3264745)Refutation not found, incomplete strategy
% 2.78/1.28 % (3264745)------------------------------
% 2.78/1.28 % (3264745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.78/1.28 % (3264745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.78/1.28 % (3264745)CaDiCaL version: 2.1.3
% 2.78/1.28 % (3264745)Termination reason: Refutation not found, incomplete strategy
% 2.78/1.28 % (3264745)Time elapsed: 0.003 s
% 2.78/1.28 % (3264745)Peak memory usage: 88 MB
% 2.78/1.28 % (3264745)Instructions burned: 3 (million)
% 2.78/1.28 % (3264734)------------------------------
% 2.78/1.28 % (3264734)------------------------------
% 2.78/1.28 % (3264737)------------------------------
% 2.78/1.28 % (3264737)------------------------------
% 2.78/1.28 % (3264736)Refutation found. Thanks to Tanya!
% 2.78/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.78/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.47 % (3264736)------------------------------
% 3.62/1.47 % (3264736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.47 % (3264736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.47 % (3264736)CaDiCaL version: 2.1.3
% 3.62/1.47 % (3264736)Termination reason: Refutation
% 3.62/1.47 % (3264736)Time elapsed: 0.032 s
% 3.62/1.47 % (3264736)Peak memory usage: 89 MB
% 3.62/1.47 % (3264736)Instructions burned: 46 (million)
% 3.62/1.47 % (3264736)------------------------------
% 3.62/1.47 % (3264736)------------------------------
% 3.62/1.47 % (3264726)Success in time 0.431 s
% 3.62/1.47 % Vampire exiting
%------------------------------------------------------------------------------