%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP280-1 : 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 10:13:31 AM UTC 2026
% Result : Unsatisfiable 0.85s 0.99s
% Output : Refutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 59
% Syntax : Number of formulae : 352 ( 17 unt; 19 def)
% Number of atoms : 1153 ( 344 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1499 ( 698 ~; 782 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c9,sk_c8) = sk_c7
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c9) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c9 = inverse(sk_c1)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c9 = inverse(sk_c1)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c9 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c9,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c4,sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c4,sk_c5) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c4) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c9 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c9,sk_c8) != sk_c7
| multiply(X0,sk_c9) != sk_c8
| inverse(X0) != sk_c9
| multiply(sk_c9,X1) != sk_c8
| multiply(X2,sk_c9) != X1
| inverse(X2) != sk_c9
| multiply(sk_c9,sk_c7) != sk_c8
| multiply(X3,X4) != sk_c9
| inverse(X3) != X4
| multiply(X4,sk_c8) != sk_c9
| multiply(X5,sk_c9) != sk_c7
| inverse(X5) != sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c8 != multiply(sk_c9,X1)
| multiply(X2,sk_c9) != X1
| sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c9 != multiply(X4,sk_c8)
| sk_c7 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,plain,
! [X2,X3,X0,X4,X5] :
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 != multiply(X3,X4)
| inverse(X3) != X4
| sk_c9 != multiply(X4,sk_c8)
| sk_c7 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ),
inference(equality_resolution,[],[f78]) ).
fof(f80,plain,
! [X2,X3,X0,X5] :
( multiply(sk_c9,sk_c8) != sk_c7
| sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,sk_c7)
| sk_c9 != multiply(X3,inverse(X3))
| sk_c9 != multiply(inverse(X3),sk_c8)
| sk_c7 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ),
inference(equality_resolution,[],[f79]) ).
fof(f82,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f83,plain,
( ! [X5] :
( sk_c9 != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_2
<=> ! [X3] :
( sk_c9 != multiply(X3,inverse(X3))
| sk_c9 != multiply(inverse(X3),sk_c8) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f86,plain,
( ! [X3] :
( sk_c9 != multiply(inverse(X3),sk_c8)
| sk_c9 != multiply(X3,inverse(X3)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,definition,
( spl0_3
<=> sk_c8 = multiply(sk_c9,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f89,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f90,plain,
( sk_c8 != multiply(sk_c9,sk_c7)
| spl0_3 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f92,definition,
( spl0_4
<=> ! [X2] :
( sk_c8 != multiply(sk_c9,multiply(X2,sk_c9))
| sk_c9 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f93,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c8 != multiply(sk_c9,multiply(X2,sk_c9)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,definition,
( spl0_5
<=> ! [X0] :
( sk_c8 != multiply(X0,sk_c9)
| inverse(X0) != sk_c9 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f96,plain,
( ! [X0] :
( inverse(X0) != sk_c9
| sk_c8 != multiply(X0,sk_c9) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,definition,
( spl0_6
<=> multiply(sk_c9,sk_c8) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f99,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f100,plain,
( multiply(sk_c9,sk_c8) != sk_c7
| spl0_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f101,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f80,f98,f95,f92,f88,f85,f82]) ).
fof(f103,definition,
( spl0_7
<=> sk_c9 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f105,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f107,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f109,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f76,f107,f103]) ).
fof(f112,definition,
( spl0_9
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f114,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f74,f107,f112]) ).
fof(f117,definition,
( spl0_10
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f119,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f72,f107,f117]) ).
fof(f122,definition,
( spl0_11
<=> sk_c5 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f124,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f70,f107,f122]) ).
fof(f127,definition,
( spl0_12
<=> sk_c9 = multiply(sk_c4,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f129,plain,
( sk_c9 = multiply(sk_c4,sk_c5)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f68,f107,f127]) ).
fof(f131,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f66,f107,f88]) ).
fof(f133,definition,
( spl0_13
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f135,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f136,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f64,f133,f103]) ).
fof(f137,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f62,f133,f112]) ).
fof(f138,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f60,f133,f117]) ).
fof(f139,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f58,f133,f122]) ).
fof(f140,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f56,f133,f127]) ).
fof(f141,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f54,f133,f88]) ).
fof(f143,definition,
( spl0_14
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f145,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f52,f143,f103]) ).
fof(f147,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f50,f143,f112]) ).
fof(f148,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f48,f143,f117]) ).
fof(f149,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f46,f143,f122]) ).
fof(f150,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f44,f143,f127]) ).
fof(f151,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f42,f143,f88]) ).
fof(f153,definition,
( spl0_15
<=> sk_c9 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f155,plain,
( sk_c9 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f156,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f40,f153,f103]) ).
fof(f157,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f38,f153,f112]) ).
fof(f158,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f36,f153,f117]) ).
fof(f159,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f34,f153,f122]) ).
fof(f160,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f32,f153,f127]) ).
fof(f161,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f153,f88]) ).
fof(f163,definition,
( spl0_16
<=> sk_c8 = multiply(sk_c1,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f165,plain,
( sk_c8 = multiply(sk_c1,sk_c9)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f166,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f28,f163,f103]) ).
fof(f167,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f26,f163,f112]) ).
fof(f168,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f24,f163,f117]) ).
fof(f169,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f22,f163,f122]) ).
fof(f170,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f20,f163,f127]) ).
fof(f171,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f18,f163,f88]) ).
fof(f172,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f98,f103]) ).
fof(f173,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f98,f112]) ).
fof(f174,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f98,f117]) ).
fof(f175,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f98,f122]) ).
fof(f176,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f98,f127]) ).
fof(f177,plain,
( spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f98,f88]) ).
fof(f178,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_7 ),
inference(superposition,[],[f3,f105]) ).
fof(f179,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl0_11 ),
inference(superposition,[],[f3,f124]) ).
fof(f182,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f4,f3]) ).
fof(f187,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f182,f1]) ).
fof(f190,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_7 ),
inference(superposition,[],[f4,f178]) ).
fof(f191,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_7 ),
inference(forward_demodulation,[],[f190,f1]) ).
fof(f194,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f191,f114]) ).
fof(f200,plain,
( sk_c9 = sk_c8
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f194,f89]) ).
fof(f241,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl0_11 ),
inference(superposition,[],[f187,f124]) ).
fof(f247,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_3 ),
inference(superposition,[],[f187,f89]) ).
fof(f252,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c9)
| ~ spl0_12 ),
inference(superposition,[],[f187,f129]) ).
fof(f256,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c9)
| ~ spl0_10 ),
inference(superposition,[],[f187,f119]) ).
fof(f257,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl0_11 ),
inference(superposition,[],[f187,f179]) ).
fof(f264,plain,
( sk_c9 = multiply(inverse(sk_c5),sk_c9)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f256,f200]) ).
fof(f266,plain,
( sk_c5 = multiply(sk_c5,sk_c9)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f252,f124]) ).
fof(f269,plain,
( sk_c7 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f247,f200]) ).
fof(f273,plain,
( identity = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f269,f3]) ).
fof(f277,plain,
( sk_c9 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f187,f266]) ).
fof(f280,plain,
( identity = sk_c9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f277,f3]) ).
fof(f285,plain,
( sk_c9 = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f280,f273]) ).
fof(f290,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c7)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f257,f273]) ).
fof(f313,plain,
( sk_c4 = multiply(inverse(sk_c5),sk_c9)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f290,f285]) ).
fof(f314,plain,
( sk_c9 = sk_c4
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f313,f264]) ).
fof(f316,plain,
( identity = multiply(sk_c5,sk_c9)
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f179,f314]) ).
fof(f319,plain,
( identity = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f316,f266]) ).
fof(f320,plain,
( sk_c7 = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f319,f273]) ).
fof(f321,plain,
( sk_c9 = sk_c5
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f320,f285]) ).
fof(f354,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c9,X0)) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f241,f314]) ).
fof(f355,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c9,X0)) = X0
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f354,f321]) ).
fof(f361,plain,
( multiply(sk_c9,sk_c8) = sk_c7
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f355,f89]) ).
fof(f374,plain,
( $false
| ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f361,f100]) ).
fof(f375,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f379,plain,
( ! [X2] :
( sk_c9 != inverse(X2)
| sk_c9 != multiply(sk_c9,multiply(X2,sk_c9)) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f93,f200]) ).
fof(f380,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f99,f285]) ).
fof(f382,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f380,f200]) ).
fof(f388,plain,
( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f4,f382]) ).
fof(f389,plain,
( ! [X0] : multiply(sk_c9,X0) = X0
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f388,f355]) ).
fof(f394,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c9,multiply(sk_c6,sk_c9))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f379,f105]) ).
fof(f398,plain,
( sk_c9 != multiply(sk_c9,multiply(sk_c6,sk_c9))
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f394]) ).
fof(f402,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f398,f191]) ).
fof(f403,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f402]) ).
fof(f417,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f3,f109]) ).
fof(f418,plain,
( sk_c9 = multiply(sk_c9,sk_c2)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f417,f280]) ).
fof(f428,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_13 ),
inference(superposition,[],[f187,f135]) ).
fof(f429,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c9,X0)) = multiply(sk_c3,X0)
| ~ spl0_13 ),
inference(superposition,[],[f4,f135]) ).
fof(f430,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f428,f109]) ).
fof(f432,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c9,multiply(sk_c3,X0))
| ~ spl0_14 ),
inference(superposition,[],[f4,f145]) ).
fof(f436,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_16 ),
inference(superposition,[],[f187,f165]) ).
fof(f438,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f436,f155]) ).
fof(f443,plain,
( sk_c9 != sk_c9
| sk_c8 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl0_4
| ~ spl0_8 ),
inference(superposition,[],[f93,f109]) ).
fof(f444,plain,
( sk_c8 != multiply(sk_c9,multiply(sk_c2,sk_c9))
| ~ spl0_4
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f443]) ).
fof(f448,plain,
( sk_c8 != multiply(sk_c9,sk_c3)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f444,f135]) ).
fof(f456,definition,
( spl0_18
<=> sk_c9 = sk_c5 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f457,plain,
( sk_c9 = sk_c5
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f458,plain,
( sk_c9 != sk_c5
| spl0_18 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f460,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f448,f145]) ).
fof(f461,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f460]) ).
fof(f463,plain,
( sk_c2 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f187,f418]) ).
fof(f465,plain,
( identity = sk_c2
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f463,f3]) ).
fof(f466,plain,
( sk_c9 = sk_c2
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f465,f280]) ).
fof(f469,plain,
( sk_c9 != sk_c9
| sk_c7 != multiply(sk_c2,sk_c9)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f83,f109]) ).
fof(f470,plain,
( sk_c7 != multiply(sk_c2,sk_c9)
| ~ spl0_1
| ~ spl0_8 ),
inference(trivial_inequality_removal,[],[f469]) ).
fof(f472,plain,
( sk_c7 != sk_c3
| ~ spl0_1
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f470,f135]) ).
fof(f504,plain,
( ! [X0] : multiply(inverse(sk_c9),multiply(sk_c8,X0)) = multiply(sk_c3,X0)
| ~ spl0_14 ),
inference(superposition,[],[f187,f432]) ).
fof(f510,plain,
( sk_c9 = sk_c8
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f430,f145]) ).
fof(f586,plain,
( ! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != multiply(X0,sk_c9) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f96,f510]) ).
fof(f594,plain,
( sk_c9 != sk_c9
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f586,f155]) ).
fof(f597,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f594]) ).
fof(f600,plain,
( sk_c9 != sk_c8
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f597,f165]) ).
fof(f603,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f600,f510]) ).
fof(f604,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f605,plain,
( ! [X3] :
( sk_c9 != multiply(inverse(X3),sk_c9)
| sk_c9 != multiply(X3,inverse(X3)) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f86,f510]) ).
fof(f606,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f438,f510]) ).
fof(f609,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f605,f155]) ).
fof(f610,plain,
( sk_c9 != multiply(sk_c9,sk_c9)
| sk_c9 != multiply(sk_c2,sk_c9)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f605,f109]) ).
fof(f614,plain,
( sk_c9 != sk_c3
| sk_c9 != multiply(sk_c9,sk_c9)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f610,f135]) ).
fof(f632,plain,
( ! [X0] : multiply(inverse(sk_c9),multiply(sk_c9,X0)) = multiply(sk_c3,X0)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f504,f510]) ).
fof(f636,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f632,f187]) ).
fof(f656,plain,
( multiply(sk_c3,sk_c7) = multiply(sk_c2,sk_c8)
| ~ spl0_3
| ~ spl0_13 ),
inference(superposition,[],[f429,f89]) ).
fof(f668,plain,
( multiply(sk_c2,sk_c9) = multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f656,f510]) ).
fof(f675,plain,
( sk_c3 = multiply(sk_c3,sk_c7)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f668,f135]) ).
fof(f715,plain,
( sk_c7 = sk_c3
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f675,f636]) ).
fof(f716,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f715,f472]) ).
fof(f717,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f716]) ).
fof(f719,plain,
( sk_c9 != multiply(sk_c1,sk_c9)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f609,f606]) ).
fof(f725,plain,
( sk_c9 != sk_c8
| ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f719,f165]) ).
fof(f728,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f725,f510]) ).
fof(f729,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f733,plain,
( $false
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_18 ),
inference(forward_subsumption_resolution,[],[f321,f458]) ).
fof(f734,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f733]) ).
fof(f738,definition,
( spl0_20
<=> sk_c9 = multiply(sk_c9,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f739,plain,
( sk_c9 = multiply(sk_c9,sk_c9)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f742,definition,
( spl0_21
<=> sk_c9 = sk_c3 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f745,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f614,f143,f133,f107,f85,f742,f738]) ).
fof(f769,plain,
( sk_c9 = multiply(sk_c4,sk_c9)
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_demodulation,[],[f129,f457]) ).
fof(f773,plain,
( spl0_20
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f382,f127,f122,f112,f103,f98,f88,f738]) ).
fof(f789,plain,
( sk_c9 != sk_c9
| sk_c8 != multiply(sk_c6,sk_c9)
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f96,f105]) ).
fof(f792,plain,
( sk_c8 != multiply(sk_c6,sk_c9)
| ~ spl0_5
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f789]) ).
fof(f794,plain,
( sk_c8 != sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f792,f114]) ).
fof(f804,plain,
( sk_c3 = multiply(sk_c9,sk_c9)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f135,f466]) ).
fof(f806,plain,
( sk_c9 = sk_c3
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(forward_demodulation,[],[f804,f739]) ).
fof(f810,plain,
( spl0_21
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f806,f738,f133,f127,f122,f107,f742]) ).
fof(f824,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f389,f99]) ).
fof(f846,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f824,f794]) ).
fof(f847,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f870,plain,
( sk_c9 != sk_c9
| sk_c7 != multiply(sk_c6,sk_c9)
| ~ spl0_1
| ~ spl0_7 ),
inference(superposition,[],[f83,f105]) ).
fof(f873,plain,
( sk_c7 != multiply(sk_c6,sk_c9)
| ~ spl0_1
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f870]) ).
fof(f875,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f873,f114]) ).
fof(f876,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f875]) ).
fof(f880,plain,
( sk_c9 != multiply(sk_c5,sk_c8)
| sk_c9 != multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f86,f124]) ).
fof(f887,plain,
( sk_c9 != multiply(sk_c4,sk_c5)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f880,f119]) ).
fof(f888,plain,
( sk_c9 != multiply(sk_c4,sk_c9)
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f887,f457]) ).
fof(f889,plain,
( $false
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f888,f769]) ).
fof(f890,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f891,plain,
( sk_c9 = sk_c8
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f145,f430]) ).
fof(f916,plain,
( sk_c7 = multiply(sk_c9,sk_c9)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f99,f891]) ).
fof(f919,plain,
( sk_c9 = sk_c7
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f916,f739]) ).
fof(f925,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f90,f919]) ).
fof(f926,plain,
( sk_c9 != sk_c8
| spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f925,f739]) ).
fof(f927,plain,
( $false
| spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f926,f891]) ).
fof(f928,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f927]) ).
fof(f931,plain,
( spl0_20
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f606,f163,f153,f143,f133,f107,f738]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f101]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f110]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f115]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f120]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f125]) ).
cnf(s6,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f130]) ).
cnf(s7,plain,
( spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f131]) ).
cnf(s8,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f136]) ).
cnf(s9,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f137]) ).
cnf(s10,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s11,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f139]) ).
cnf(s12,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f140]) ).
cnf(s13,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f141]) ).
cnf(s14,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f146]) ).
cnf(s15,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f147]) ).
cnf(s16,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s17,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s18,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s19,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s20,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f156]) ).
cnf(s21,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s22,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f158]) ).
cnf(s23,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s24,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f160]) ).
cnf(s25,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f161]) ).
cnf(s26,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f166]) ).
cnf(s27,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f167]) ).
cnf(s28,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s29,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s30,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f170]) ).
cnf(s31,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f171]) ).
cnf(s32,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f172]) ).
cnf(s33,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f173]) ).
cnf(s34,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f174]) ).
cnf(s35,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f175]) ).
cnf(s36,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f176]) ).
cnf(s37,plain,
( spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f177]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f375]) ).
cnf(s40,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f403]) ).
cnf(s43,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f461]) ).
cnf(s47,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f604]) ).
cnf(s49,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f717]) ).
cnf(s52,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f729]) ).
cnf(s53,plain,
( ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| spl0_18 ),
inference(sat_conversion,[],[f734]) ).
cnf(s54,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f745]) ).
cnf(s59,plain,
( ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12
| spl0_20 ),
inference(sat_conversion,[],[f773]) ).
cnf(s63,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f810]) ).
cnf(s68,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f847]) ).
cnf(s69,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f876]) ).
cnf(s70,plain,
( ~ spl0_2
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_18 ),
inference(sat_conversion,[],[f890]) ).
cnf(s76,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_20 ),
inference(sat_conversion,[],[f928]) ).
cnf(s79,plain,
( ~ spl0_8
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| spl0_20 ),
inference(sat_conversion,[],[f931]) ).
cnf(s83,plain,
spl0_3,
inference(rat,[],[s79,s76,s7,s13,s19,s25,s31,s37]) ).
cnf(s84,plain,
spl0_6,
inference(rat,[],[s38,s32,s33,s34,s35,s36,s83]) ).
cnf(s85,plain,
( spl0_12
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s47,s12,s18,s24,s30]) ).
cnf(s86,plain,
( spl0_11
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s47,s11,s17,s23,s29]) ).
cnf(s87,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s47,s10,s16,s22,s28]) ).
cnf(s88,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s47,s9,s15,s21,s27,s68,s87,s86,s85,s83,s84]) ).
cnf(s89,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s68,s3,s4,s5,s6,s88,s84,s83]) ).
cnf(s90,plain,
~ spl0_5,
inference(rat,[],[s47,s2,s8,s14,s20,s26,s89]) ).
cnf(s91,plain,
( spl0_9
| ~ spl0_4 ),
inference(rat,[],[s43,s3,s9,s15]) ).
cnf(s92,plain,
( ~ spl0_9
| ~ spl0_4 ),
inference(rat,[],[s43,s2,s8,s14,s40,s83]) ).
cnf(s93,plain,
~ spl0_4,
inference(rat,[],[s92,s91]) ).
cnf(s94,plain,
( spl0_12
| ~ spl0_14
| ~ spl0_13
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s52,s24,s30]) ).
cnf(s96,plain,
( spl0_11
| ~ spl0_14
| ~ spl0_13
| ~ spl0_8
| ~ spl0_2 ),
inference(rat,[],[s52,s23,s29]) ).
cnf(s97,plain,
( ~ spl0_14
| ~ spl0_13
| ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s63,s54,s59,s96,s94,s83,s84]) ).
cnf(s98,plain,
( spl0_14
| ~ spl0_9
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s53,s70,s16,s17,s18,s83]) ).
cnf(s99,plain,
( ~ spl0_14
| ~ spl0_9
| ~ spl0_2
| ~ spl0_8
| ~ spl0_7 ),
inference(rat,[],[s53,s70,s10,s11,s12,s97,s83]) ).
cnf(s100,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s99,s98]) ).
cnf(s101,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s52,s9,s15,s21,s27,s100]) ).
cnf(s102,plain,
( ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s53,s70,s3,s4,s5,s6,s101,s83]) ).
cnf(s103,plain,
~ spl0_2,
inference(rat,[],[s52,s2,s8,s14,s20,s26,s102]) ).
cnf(s104,plain,
spl0_1,
inference(rat,[],[s1,s83,s90,s84,s93,s103]) ).
cnf(s105,plain,
( spl0_9
| ~ spl0_8 ),
inference(rat,[],[s49,s9,s15,s104,s83]) ).
cnf(s106,plain,
~ spl0_8,
inference(rat,[],[s49,s8,s14,s69,s105,s104,s83]) ).
cnf(s110,plain,
spl0_9,
inference(rat,[],[s3,s106]) ).
cnf(s111,plain,
spl0_7,
inference(rat,[],[s2,s106]) ).
cnf(s114,plain,
$false,
inference(rat,[],[s69,s104,s110,s111]) ).
fof(f935,plain,
$false,
inference(avatar_sat_refutation,[],[s114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP280-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n010.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 09:44:31 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 0.85/0.99 % (706762)Input is clausal, will run a generic CNF schedule.
% 0.85/0.99 % (706787)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1993384482:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.85/0.99 % (706786)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=122330449:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.85/0.99 % (706783)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2374182242:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.85/0.99 % (706788)dis-21_1_sil=8000:lcm=predicate:random_seed=298239844: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)
% 0.85/0.99 % (706784)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2421708768:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.85/0.99 % (706782)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=1310548572:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.85/0.99 % (706788)Refutation not found, incomplete strategy
% 0.85/0.99 % (706788)------------------------------
% 0.85/0.99 % (706788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.85/0.99 % (706788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.99 % (706788)CaDiCaL version: 2.1.3
% 0.85/0.99 % (706788)Termination reason: Refutation not found, incomplete strategy
% 0.85/0.99 % (706788)Time elapsed: 0.002 s
% 0.85/0.99 % (706788)Peak memory usage: 88 MB
% 0.85/0.99 % (706788)Instructions burned: 2 (million)
% 0.85/0.99 % (706787)First to succeed.
% 0.85/0.99 % (706785)lrs+10_1_sil=8000:sp=occurrence:random_seed=2417802312:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.85/0.99 % (706787)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-706762"
% 0.85/0.99 % (706786)Instruction limit reached!
% 0.85/0.99 % (706786)------------------------------
% 0.85/0.99 % (706786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.85/0.99 % (706786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.99 % (706786)CaDiCaL version: 2.1.3
% 0.85/0.99 % (706786)Termination reason: Instruction limit
% 0.85/0.99 % (706786)Termination phase: Saturation
% 0.85/0.99 % (706786)Time elapsed: 0.089 s
% 0.85/0.99 % (706786)Peak memory usage: 89 MB
% 0.85/0.99 % (706786)Instructions burned: 116 (million)
% 0.85/0.99 % (706785)Instruction limit reached!
% 0.85/0.99 % (706785)------------------------------
% 0.85/0.99 % (706785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.85/0.99 % (706785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.85/0.99 % (706785)CaDiCaL version: 2.1.3
% 0.85/0.99 % (706785)Termination reason: Instruction limit
% 0.85/0.99 % (706785)Termination phase: Saturation
% 0.85/0.99 % (706785)Time elapsed: 0.075 s
% 0.85/0.99 % (706785)Peak memory usage: 89 MB
% 0.85/0.99 % (706785)Instructions burned: 109 (million)
% 0.85/0.99 % (706787)Refutation found. Thanks to Tanya!
% 0.85/0.99 % SZS status Unsatisfiable for theBenchmark
% 0.85/0.99 % SZS output start Proof for theBenchmark
% See solution above
% 2.71/1.08 % (706787)------------------------------
% 2.71/1.08 % (706787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.71/1.08 % (706787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.71/1.08 % (706787)CaDiCaL version: 2.1.3
% 2.71/1.08 % (706787)Termination reason: Refutation
% 2.71/1.08 % (706787)Time elapsed: 0.018 s
% 2.71/1.08 % (706787)Peak memory usage: 90 MB
% 2.71/1.08 % (706787)Instructions burned: 34 (million)
% 2.71/1.08 % (706787)------------------------------
% 2.71/1.08 % (706787)------------------------------
% 2.71/1.08 % (706762)Success in time 0.341 s
% 2.71/1.08 % Vampire exiting
%------------------------------------------------------------------------------