%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP322-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:17:29 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 52
% Syntax : Number of formulae : 357 ( 22 unt; 16 def)
% Number of atoms : 1275 ( 371 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 1773 ( 855 ~; 902 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f15]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f27]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c5) = 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_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c5) = 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_c5) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c9,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c9,sk_c8) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c9,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c9,sk_c6) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c9) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c9 = inverse(sk_c2)
| sk_c6 = multiply(sk_c5,sk_c9) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c5) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4,X5] :
( multiply(sk_c8,sk_c9) != sk_c7
| multiply(X0,sk_c8) != sk_c9
| inverse(X0) != sk_c8
| multiply(sk_c9,X1) != sk_c8
| multiply(X2,sk_c9) != X1
| inverse(X2) != sk_c9
| multiply(sk_c9,sk_c8) != sk_c7
| multiply(X3,sk_c9) != sk_c8
| inverse(X3) != sk_c9
| multiply(sk_c9,X4) != sk_c8
| multiply(X5,sk_c9) != X4
| 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_c8,sk_c9) != sk_c7
| sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c8 != multiply(sk_c9,X1)
| multiply(X2,sk_c9) != X1
| sk_c9 != inverse(X2)
| sk_c7 != multiply(sk_c9,sk_c8)
| sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sk_c8 != multiply(sk_c9,X4)
| multiply(X5,sk_c9) != X4
| sk_c9 != inverse(X5) ),
inference(reorient_equations,[],[f77]) ).
fof(f80,definition,
( spl0_1
<=> ! [X4,X5] :
( sk_c8 != multiply(sk_c9,X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f81,plain,
( ! [X4,X5] :
( sk_c8 != multiply(sk_c9,X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,definition,
( spl0_2
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f84,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl0_3
<=> sk_c7 = multiply(sk_c9,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f87,plain,
( sk_c7 = multiply(sk_c9,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( sk_c7 != multiply(sk_c9,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl0_4
<=> ! [X0] :
( sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f91,plain,
( ! [X0] :
( sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,definition,
( spl0_5
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f94,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f95,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_1
| spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f78,f93,f90,f80,f86,f83,f80]) ).
fof(f98,definition,
( spl0_6
<=> sk_c9 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f100,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f102,definition,
( spl0_7
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f104,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f76,f102,f98]) ).
fof(f107,definition,
( spl0_8
<=> sk_c6 = multiply(sk_c5,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f109,plain,
( sk_c6 = multiply(sk_c5,sk_c9)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f110,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f74,f102,f107]) ).
fof(f112,definition,
( spl0_9
<=> sk_c8 = multiply(sk_c9,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f113,plain,
( sk_c8 != multiply(sk_c9,sk_c6)
| spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( sk_c8 = multiply(sk_c9,sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f72,f102,f112]) ).
fof(f117,definition,
( spl0_10
<=> sk_c9 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f119,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f70,f102,f117]) ).
fof(f122,definition,
( spl0_11
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f124,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f68,f102,f122]) ).
fof(f126,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f66,f102,f86]) ).
fof(f128,definition,
( spl0_12
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f130,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl0_6
| spl0_12 ),
inference(avatar_split_clause,[],[f64,f128,f98]) ).
fof(f132,plain,
( spl0_8
| spl0_12 ),
inference(avatar_split_clause,[],[f62,f128,f107]) ).
fof(f133,plain,
( spl0_9
| spl0_12 ),
inference(avatar_split_clause,[],[f60,f128,f112]) ).
fof(f134,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f58,f128,f117]) ).
fof(f135,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f56,f128,f122]) ).
fof(f136,plain,
( spl0_3
| spl0_12 ),
inference(avatar_split_clause,[],[f54,f128,f86]) ).
fof(f138,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f140,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,plain,
( spl0_6
| spl0_13 ),
inference(avatar_split_clause,[],[f52,f138,f98]) ).
fof(f142,plain,
( spl0_8
| spl0_13 ),
inference(avatar_split_clause,[],[f50,f138,f107]) ).
fof(f143,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f48,f138,f112]) ).
fof(f144,plain,
( spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f46,f138,f117]) ).
fof(f145,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f138,f122]) ).
fof(f146,plain,
( spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f42,f138,f86]) ).
fof(f148,definition,
( spl0_14
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f150,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( spl0_6
| spl0_14 ),
inference(avatar_split_clause,[],[f40,f148,f98]) ).
fof(f152,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f38,f148,f107]) ).
fof(f153,plain,
( spl0_9
| spl0_14 ),
inference(avatar_split_clause,[],[f36,f148,f112]) ).
fof(f154,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f34,f148,f117]) ).
fof(f155,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f32,f148,f122]) ).
fof(f158,definition,
( spl0_15
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f160,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f28,f158,f98]) ).
fof(f162,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f26,f158,f107]) ).
fof(f163,plain,
( spl0_9
| spl0_15 ),
inference(avatar_split_clause,[],[f24,f158,f112]) ).
fof(f164,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f22,f158,f117]) ).
fof(f165,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f20,f158,f122]) ).
fof(f167,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f16,f93,f98]) ).
fof(f168,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f14,f93,f107]) ).
fof(f169,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f12,f93,f112]) ).
fof(f172,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f6,f93,f86]) ).
fof(f173,plain,
( multiply(sk_c8,sk_c9) != multiply(sk_c9,sk_c8)
| ~ spl0_3
| spl0_5 ),
inference(forward_demodulation,[],[f95,f87]) ).
fof(f175,plain,
( identity = multiply(sk_c9,sk_c5)
| ~ spl0_6 ),
inference(superposition,[],[f3,f100]) ).
fof(f176,plain,
( identity = multiply(sk_c9,sk_c4)
| ~ spl0_10 ),
inference(superposition,[],[f3,f119]) ).
fof(f177,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f178,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f177,f4]) ).
fof(f183,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c9,X0))
| ~ spl0_11 ),
inference(superposition,[],[f4,f124]) ).
fof(f184,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c9,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f109]) ).
fof(f188,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c5,X0))
| ~ spl0_6 ),
inference(superposition,[],[f4,f175]) ).
fof(f189,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c5,X0)) = X0
| ~ spl0_6 ),
inference(forward_demodulation,[],[f188,f1]) ).
fof(f192,plain,
( sk_c9 = multiply(sk_c9,sk_c6)
| ~ spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f189,f109]) ).
fof(f195,plain,
( sk_c8 = sk_c9
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f192,f114]) ).
fof(f199,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f109,f195]) ).
fof(f202,plain,
( multiply(sk_c8,sk_c8) != multiply(sk_c8,sk_c8)
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f173,f195]) ).
fof(f203,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f175,f195]) ).
fof(f207,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f202]) ).
fof(f208,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f207]) ).
fof(f209,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f91,f195]) ).
fof(f216,plain,
( ! [X0,X1] :
( sk_c8 != multiply(X0,multiply(X1,sk_c8))
| sk_c8 != inverse(multiply(X0,X1)) )
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f209,f4]) ).
fof(f226,definition,
( spl0_17
<=> identity = sk_c8 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f227,plain,
( identity = sk_c8
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( identity != sk_c8
| spl0_17 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f236,plain,
( multiply(sk_c8,sk_c5) = multiply(sk_c4,identity)
| ~ spl0_6
| ~ spl0_11 ),
inference(superposition,[],[f183,f175]) ).
fof(f239,plain,
( identity = multiply(sk_c4,identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f236,f203]) ).
fof(f251,plain,
( multiply(sk_c5,sk_c8) = multiply(sk_c6,sk_c6)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f184,f114]) ).
fof(f257,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f251,f199]) ).
fof(f270,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(multiply(sk_c9,sk_c5))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f216,f189]) ).
fof(f289,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f178,f3]) ).
fof(f290,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f178,f178]) ).
fof(f293,plain,
( sk_c4 = multiply(inverse(sk_c9),identity)
| ~ spl0_10 ),
inference(superposition,[],[f178,f176]) ).
fof(f295,plain,
( sk_c5 = multiply(inverse(sk_c9),identity)
| ~ spl0_6 ),
inference(superposition,[],[f178,f175]) ).
fof(f298,plain,
( identity = multiply(inverse(sk_c4),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f178,f239]) ).
fof(f299,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f178,f257]) ).
fof(f310,plain,
( identity = sk_c6
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f299,f3]) ).
fof(f311,plain,
( identity = multiply(sk_c9,identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f298,f119]) ).
fof(f314,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f295,f195]) ).
fof(f316,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f293,f195]) ).
fof(f319,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f289,f290]) ).
fof(f322,plain,
( identity = multiply(sk_c8,identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f311,f195]) ).
fof(f328,plain,
( identity = sk_c8
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f322,f319]) ).
fof(f331,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f328,f228]) ).
fof(f332,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f331]) ).
fof(f333,plain,
( ! [X4,X5] :
( sk_c8 != multiply(sk_c8,X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f81,f195]) ).
fof(f334,plain,
( ! [X4,X5] :
( identity != multiply(identity,X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f333,f227]) ).
fof(f335,plain,
( ! [X4,X5] :
( identity != X4
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f334,f1]) ).
fof(f336,plain,
( ! [X4,X5] :
( sk_c8 != inverse(X5)
| identity != X4
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f335,f195]) ).
fof(f337,plain,
( ! [X4,X5] :
( identity != inverse(X5)
| identity != X4
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f336,f227]) ).
fof(f338,plain,
( ! [X4,X5] :
( multiply(X5,sk_c8) != X4
| identity != inverse(X5)
| identity != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f337,f195]) ).
fof(f339,plain,
( ! [X4,X5] :
( multiply(X5,identity) != X4
| identity != inverse(X5)
| identity != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f338,f227]) ).
fof(f340,plain,
( ! [X4,X5] :
( X4 != X5
| identity != inverse(X5)
| identity != X4 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f339,f319]) ).
fof(f342,plain,
( sk_c6 = multiply(sk_c5,identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f199,f227]) ).
fof(f343,plain,
( sk_c6 = sk_c5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f342,f319]) ).
fof(f344,plain,
( sk_c6 = multiply(inverse(sk_c8),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f343,f314]) ).
fof(f345,plain,
( sk_c6 = inverse(sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f344,f319]) ).
fof(f346,plain,
( sk_c6 = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f345,f227]) ).
fof(f347,plain,
( identity = inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f346,f310]) ).
fof(f348,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(equality_resolution,[],[f340]) ).
fof(f355,plain,
( identity != sk_c9
| identity != sk_c5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f348,f100]) ).
fof(f356,plain,
( identity != sk_c9
| identity != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f348,f119]) ).
fof(f357,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f356,f195]) ).
fof(f358,plain,
( identity != sk_c8
| identity != sk_c5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f355,f195]) ).
fof(f359,plain,
( identity != sk_c4
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f357,f227]) ).
fof(f360,plain,
( identity != sk_c5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f358,f227]) ).
fof(f361,plain,
( identity != multiply(inverse(sk_c8),identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f359,f316]) ).
fof(f362,plain,
( identity != multiply(inverse(sk_c8),identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f360,f314]) ).
fof(f363,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f361,f319]) ).
fof(f364,plain,
( identity != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f362,f319]) ).
fof(f365,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f363,f227]) ).
fof(f366,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f364,f227]) ).
fof(f367,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f365,f347]) ).
fof(f368,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f369,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f366,f347]) ).
fof(f370,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f371,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f84,f195]) ).
fof(f372,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f371,f227]) ).
fof(f373,plain,
( ! [X3] :
( identity != X3
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f372,f319]) ).
fof(f374,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| identity != X3 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f373,f195]) ).
fof(f375,plain,
( ! [X3] :
( identity != inverse(X3)
| identity != X3 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f374,f227]) ).
fof(f381,plain,
( identity != sk_c9
| identity != sk_c5
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(superposition,[],[f375,f100]) ).
fof(f388,plain,
( identity != sk_c8
| identity != sk_c5
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f381,f195]) ).
fof(f390,plain,
( identity != sk_c5
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f388,f227]) ).
fof(f392,plain,
( identity != multiply(inverse(sk_c8),identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f390,f314]) ).
fof(f394,plain,
( identity != inverse(sk_c8)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f392,f319]) ).
fof(f396,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f394,f227]) ).
fof(f399,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f396,f347]) ).
fof(f400,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f399]) ).
fof(f402,plain,
( sk_c8 != inverse(multiply(sk_c9,sk_c5))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(trivial_inequality_removal,[],[f270]) ).
fof(f409,plain,
( sk_c8 != inverse(identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f402,f175]) ).
fof(f420,plain,
( identity != sk_c8
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f409,f347]) ).
fof(f426,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f420,f227]) ).
fof(f427,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f426]) ).
fof(f437,plain,
( identity = inverse(sk_c1)
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f150,f227]) ).
fof(f452,plain,
( identity != multiply(sk_c9,sk_c6)
| spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f113,f227]) ).
fof(f461,plain,
( identity = multiply(sk_c9,sk_c3)
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f140,f227]) ).
fof(f462,plain,
( identity != sk_c9
| ~ spl0_6
| ~ spl0_8
| spl0_9
| ~ spl0_17 ),
inference(forward_demodulation,[],[f452,f192]) ).
fof(f482,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f3,f437]) ).
fof(f483,plain,
( identity = sk_c1
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_demodulation,[],[f482,f1]) ).
fof(f486,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f178,f130]) ).
fof(f489,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl0_7
| ~ spl0_12 ),
inference(forward_demodulation,[],[f486,f104]) ).
fof(f490,plain,
( identity = sk_c9
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f489,f461]) ).
fof(f491,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f490,f462]) ).
fof(f492,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f534,plain,
( sk_c8 = sk_c9
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f489,f140]) ).
fof(f539,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_14 ),
inference(superposition,[],[f3,f150]) ).
fof(f572,plain,
( multiply(sk_c8,sk_c9) != multiply(sk_c9,sk_c8)
| spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f88,f94]) ).
fof(f573,plain,
( multiply(sk_c8,sk_c8) != multiply(sk_c8,sk_c8)
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f572,f534]) ).
fof(f574,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f573]) ).
fof(f575,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f576,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f84,f534]) ).
fof(f578,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c8) )
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f576,f534]) ).
fof(f590,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_13 ),
inference(superposition,[],[f178,f140]) ).
fof(f593,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f590,f534]) ).
fof(f595,plain,
( identity = sk_c3
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f593,f3]) ).
fof(f610,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f578,f150]) ).
fof(f612,plain,
( sk_c8 != multiply(sk_c1,sk_c8)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f610]) ).
fof(f614,plain,
( sk_c8 != sk_c9
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f612,f160]) ).
fof(f617,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f614,f534]) ).
fof(f618,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f623,plain,
( ! [X4,X5] :
( sk_c8 != multiply(sk_c8,X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f81,f534]) ).
fof(f635,plain,
( ! [X4,X5] :
( identity != multiply(identity,X4)
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f623,f227]) ).
fof(f643,plain,
( ! [X4,X5] :
( identity != X4
| sk_c9 != inverse(X5)
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f635,f1]) ).
fof(f645,plain,
( ! [X4,X5] :
( sk_c8 != inverse(X5)
| identity != X4
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f643,f534]) ).
fof(f646,plain,
( ! [X4,X5] :
( identity != inverse(X5)
| identity != X4
| multiply(X5,sk_c9) != X4 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f645,f227]) ).
fof(f647,plain,
( ! [X4,X5] :
( multiply(X5,sk_c8) != X4
| identity != inverse(X5)
| identity != X4 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f646,f534]) ).
fof(f648,plain,
( ! [X4,X5] :
( multiply(X5,identity) != X4
| identity != inverse(X5)
| identity != X4 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f647,f227]) ).
fof(f649,plain,
( ! [X4,X5] :
( X4 != X5
| identity != inverse(X5)
| identity != X4 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(forward_demodulation,[],[f648,f319]) ).
fof(f657,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(equality_resolution,[],[f649]) ).
fof(f710,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_14 ),
inference(superposition,[],[f178,f539]) ).
fof(f713,plain,
( sk_c1 = inverse(sk_c8)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f710,f319]) ).
fof(f725,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(superposition,[],[f657,f150]) ).
fof(f731,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f725,f227]) ).
fof(f734,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f731,f483]) ).
fof(f735,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f734]) ).
fof(f736,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f91,f534]) ).
fof(f748,plain,
( sk_c8 != sk_c9
| sk_c8 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(superposition,[],[f736,f160]) ).
fof(f750,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f748,f534]) ).
fof(f751,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f750,f150]) ).
fof(f752,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f751]) ).
fof(f774,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f160,f713]) ).
fof(f776,plain,
( identity = sk_c9
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f774,f3]) ).
fof(f781,plain,
( sk_c8 = multiply(identity,sk_c3)
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f140,f776]) ).
fof(f789,plain,
( sk_c8 = sk_c3
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f781,f1]) ).
fof(f795,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f789,f595]) ).
fof(f799,plain,
( $false
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f795,f228]) ).
fof(f800,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f799]) ).
cnf(s1,plain,
( spl0_1
| spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f96]) ).
cnf(s2,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(rat,[],[s1]) ).
cnf(s3,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f105]) ).
cnf(s4,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f110]) ).
cnf(s5,plain,
( spl0_7
| spl0_9 ),
inference(sat_conversion,[],[f115]) ).
cnf(s6,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f120]) ).
cnf(s7,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f125]) ).
cnf(s8,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f126]) ).
cnf(s9,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f131]) ).
cnf(s10,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f132]) ).
cnf(s11,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f133]) ).
cnf(s12,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f134]) ).
cnf(s13,plain,
( spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f135]) ).
cnf(s14,plain,
( spl0_3
| spl0_12 ),
inference(sat_conversion,[],[f136]) ).
cnf(s15,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f141]) ).
cnf(s16,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f142]) ).
cnf(s17,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f143]) ).
cnf(s18,plain,
( spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f144]) ).
cnf(s19,plain,
( spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f145]) ).
cnf(s20,plain,
( spl0_3
| spl0_13 ),
inference(sat_conversion,[],[f146]) ).
cnf(s21,plain,
( spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s22,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f152]) ).
cnf(s23,plain,
( spl0_9
| spl0_14 ),
inference(sat_conversion,[],[f153]) ).
cnf(s24,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f154]) ).
cnf(s25,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f155]) ).
cnf(s27,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f161]) ).
cnf(s28,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f162]) ).
cnf(s29,plain,
( spl0_9
| spl0_15 ),
inference(sat_conversion,[],[f163]) ).
cnf(s30,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f164]) ).
cnf(s31,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f165]) ).
cnf(s33,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f167]) ).
cnf(s34,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f168]) ).
cnf(s35,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f169]) ).
cnf(s38,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f172]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f208]) ).
cnf(s42,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f332]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(sat_conversion,[],[f368]) ).
cnf(s44,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f370]) ).
cnf(s47,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f400]) ).
cnf(s52,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_17 ),
inference(sat_conversion,[],[f427]) ).
cnf(s56,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17 ),
inference(sat_conversion,[],[f492]) ).
cnf(s61,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f575]) ).
cnf(s63,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f618]) ).
cnf(s66,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_17 ),
inference(sat_conversion,[],[f735]) ).
cnf(s67,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f752]) ).
cnf(s70,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f800]) ).
cnf(s72,plain,
spl0_3,
inference(rat,[],[s61,s8,s14,s20,s38]) ).
cnf(s73,plain,
spl0_5,
inference(rat,[],[s39,s33,s34,s35,s72]) ).
cnf(s74,plain,
( spl0_11
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s67,s13,s19,s25,s31]) ).
cnf(s75,plain,
( spl0_10
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s67,s12,s18,s24,s30]) ).
cnf(s76,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s42,s52,s74,s75]) ).
cnf(s77,plain,
( spl0_9
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s67,s11,s17,s23,s29]) ).
cnf(s78,plain,
( ~ spl0_9
| ~ spl0_7
| ~ spl0_4
| ~ spl0_6 ),
inference(rat,[],[s67,s10,s16,s22,s28,s76]) ).
cnf(s79,plain,
( ~ spl0_7
| ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s78,s77]) ).
cnf(s80,plain,
( ~ spl0_6
| ~ spl0_4 ),
inference(rat,[],[s42,s52,s4,s5,s6,s7,s79]) ).
cnf(s81,plain,
~ spl0_4,
inference(rat,[],[s67,s3,s9,s15,s21,s27,s80]) ).
cnf(s82,plain,
( spl0_11
| spl0_17
| ~ spl0_7 ),
inference(rat,[],[s70,s13,s19,s25,s31]) ).
cnf(s83,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_7
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s70,s12,s18,s24,s30,s42,s82,s47]) ).
cnf(s84,plain,
( spl0_8
| ~ spl0_7
| ~ spl0_2 ),
inference(rat,[],[s63,s10,s16,s22,s28]) ).
cnf(s85,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_2
| ~ spl0_6 ),
inference(rat,[],[s63,s11,s17,s23,s29,s83]) ).
cnf(s86,plain,
( ~ spl0_7
| ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s85,s84]) ).
cnf(s87,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(rat,[],[s47,s42,s4,s5,s6,s7,s86]) ).
cnf(s88,plain,
~ spl0_2,
inference(rat,[],[s63,s3,s9,s15,s21,s27,s87]) ).
cnf(s89,plain,
spl0_1,
inference(rat,[],[s2,s73,s72,s81,s88]) ).
cnf(s90,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s70,s12,s18,s24,s30,s42,s82,s44,s89]) ).
cnf(s91,plain,
( ~ spl0_8
| ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s56,s70,s11,s17,s23,s29,s90]) ).
cnf(s92,plain,
( ~ spl0_12
| ~ spl0_7
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15 ),
inference(rat,[],[s66,s70,s89]) ).
cnf(s93,plain,
( ~ spl0_7
| ~ spl0_6 ),
inference(rat,[],[s92,s10,s16,s22,s28,s91]) ).
cnf(s94,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_6
| ~ spl0_9
| ~ spl0_8 ),
inference(rat,[],[s43,s42,s89]) ).
cnf(s95,plain,
~ spl0_6,
inference(rat,[],[s94,s4,s5,s6,s7,s93]) ).
cnf(s96,plain,
spl0_15,
inference(rat,[],[s27,s95]) ).
cnf(s97,plain,
spl0_14,
inference(rat,[],[s21,s95]) ).
cnf(s98,plain,
spl0_13,
inference(rat,[],[s15,s95]) ).
cnf(s99,plain,
spl0_12,
inference(rat,[],[s9,s95]) ).
cnf(s100,plain,
spl0_7,
inference(rat,[],[s3,s95]) ).
cnf(s101,plain,
$false,
inference(rat,[],[s92,s96,s97,s98,s100,s99]) ).
fof(f804,plain,
$false,
inference(avatar_sat_refutation,[],[s101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP322-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 09:50:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.45 % (987495)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (987505)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=207682049:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (987501)% WARNING: option uhcvi not known.
% 0.11/0.45 % (987500)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2512308886_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (987501)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1092231900:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (987502)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3038669080:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (987503)dis+10_1_sil=32000:sp=arity:random_seed=3168874769:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (987504)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3410947959:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (987505) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-987495-987505"...
% 0.11/0.45 % (987506)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1133145197:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (987505)...printing done.
% 0.11/0.45 % TRYING [1]
% 0.11/0.45 % TRYING [2]
% 0.11/0.45 % TRYING [3]
% 0.11/0.45 % (987505)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (987505)------------------------------
% 0.11/0.46 % (987505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (987505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (987505)CaDiCaL version: 2.1.3
% 0.11/0.46 % (987505)Termination reason: Refutation
% 0.11/0.46 % (987505)Time elapsed: 0.010 s
% 0.11/0.46 % (987505)Peak memory usage: 12 MB
% 0.11/0.46 % (987505)Instructions burned: 26 (million)
% 0.11/0.46 % (987495)Success in time 0.044 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------