%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP319-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 10:17:28 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 51
% Syntax : Number of formulae : 435 ( 24 unt; 17 def)
% Number of atoms : 1942 ( 498 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 3043 (1536 ~;1490 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 143 ( 0 sgn 143 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c9) = sk_c7
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c1)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f43]) ).
fof(f51,negated_conjecture,
( multiply(sk_c9,sk_c3) = sk_c8
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f55]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c9) = sk_c3
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c4,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c9) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c4) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c5) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c9 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c9
| inverse(sk_c6) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c9
| multiply(sk_c6,sk_c9) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c9 = inverse(sk_c2)
| sk_c7 = multiply(sk_c6,sk_c9) ),
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(X3,sk_c9) != sk_c8
| inverse(X3) != sk_c9
| multiply(X4,sk_c8) != sk_c7
| inverse(X4) != sk_c8
| inverse(X5) != sk_c7
| multiply(X5,sk_c9) != sk_c7 ),
file('/export/starexec/sandbox/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_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) ),
inference(reorient_equations,[],[f77]) ).
fof(f80,definition,
( spl0_1
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f81,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,definition,
( spl0_2
<=> ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f84,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl0_3
<=> ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f87,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,definition,
( spl0_4
<=> ! [X2,X1] :
( sk_c8 != multiply(sk_c9,X1)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f90,plain,
( ! [X2,X1] :
( sk_c8 != multiply(sk_c9,X1)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,definition,
( spl0_5
<=> ! [X0] :
( sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f93,plain,
( ! [X0] :
( sk_c9 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f95,definition,
( spl0_6
<=> multiply(sk_c8,sk_c9) = sk_c7 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f96,plain,
( multiply(sk_c8,sk_c9) = sk_c7
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f97,plain,
( multiply(sk_c8,sk_c9) != sk_c7
| spl0_6 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f98,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f78,f95,f92,f89,f86,f83,f80]) ).
fof(f100,definition,
( spl0_7
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f102,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f104,definition,
( spl0_8
<=> sk_c9 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f106,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f107,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f76,f104,f100]) ).
fof(f109,definition,
( spl0_9
<=> sk_c7 = inverse(sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f111,plain,
( sk_c7 = inverse(sk_c6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f74,f104,f109]) ).
fof(f114,definition,
( spl0_10
<=> sk_c8 = inverse(sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f116,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f72,f104,f114]) ).
fof(f119,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c5,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f121,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f70,f104,f119]) ).
fof(f124,definition,
( spl0_12
<=> sk_c9 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f126,plain,
( sk_c9 = inverse(sk_c4)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_12
| spl0_8 ),
inference(avatar_split_clause,[],[f68,f104,f124]) ).
fof(f129,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c4,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f131,plain,
( sk_c8 = multiply(sk_c4,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( spl0_13
| spl0_8 ),
inference(avatar_split_clause,[],[f66,f104,f129]) ).
fof(f134,definition,
( spl0_14
<=> sk_c3 = multiply(sk_c2,sk_c9) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f136,plain,
( sk_c3 = multiply(sk_c2,sk_c9)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f137,plain,
( spl0_7
| spl0_14 ),
inference(avatar_split_clause,[],[f64,f134,f100]) ).
fof(f141,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f56,f134,f124]) ).
fof(f142,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f54,f134,f129]) ).
fof(f144,definition,
( spl0_15
<=> sk_c8 = multiply(sk_c9,sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f146,plain,
( sk_c8 = multiply(sk_c9,sk_c3)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,plain,
( spl0_7
| spl0_15 ),
inference(avatar_split_clause,[],[f52,f144,f100]) ).
fof(f151,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f44,f144,f124]) ).
fof(f152,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f42,f144,f129]) ).
fof(f154,definition,
( spl0_16
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f156,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f157,plain,
( spl0_7
| spl0_16 ),
inference(avatar_split_clause,[],[f40,f154,f100]) ).
fof(f158,plain,
( spl0_9
| spl0_16 ),
inference(avatar_split_clause,[],[f38,f154,f109]) ).
fof(f159,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f36,f154,f114]) ).
fof(f160,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f34,f154,f119]) ).
fof(f161,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f32,f154,f124]) ).
fof(f162,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f30,f154,f129]) ).
fof(f164,definition,
( spl0_17
<=> sk_c9 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f165,plain,
( sk_c9 != multiply(sk_c1,sk_c8)
| spl0_17 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f166,plain,
( sk_c9 = multiply(sk_c1,sk_c8)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f167,plain,
( spl0_7
| spl0_17 ),
inference(avatar_split_clause,[],[f28,f164,f100]) ).
fof(f168,plain,
( spl0_9
| spl0_17 ),
inference(avatar_split_clause,[],[f26,f164,f109]) ).
fof(f169,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f24,f164,f114]) ).
fof(f170,plain,
( spl0_11
| spl0_17 ),
inference(avatar_split_clause,[],[f22,f164,f119]) ).
fof(f171,plain,
( spl0_12
| spl0_17 ),
inference(avatar_split_clause,[],[f20,f164,f124]) ).
fof(f172,plain,
( spl0_13
| spl0_17 ),
inference(avatar_split_clause,[],[f18,f164,f129]) ).
fof(f173,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f95,f100]) ).
fof(f174,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f95,f109]) ).
fof(f175,plain,
( spl0_10
| spl0_6 ),
inference(avatar_split_clause,[],[f12,f95,f114]) ).
fof(f176,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f10,f95,f119]) ).
fof(f177,plain,
( spl0_12
| spl0_6 ),
inference(avatar_split_clause,[],[f8,f95,f124]) ).
fof(f178,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f95,f129]) ).
fof(f180,plain,
( identity = multiply(sk_c7,sk_c6)
| ~ spl0_9 ),
inference(superposition,[],[f3,f111]) ).
fof(f181,plain,
( identity = multiply(sk_c8,sk_c5)
| ~ spl0_10 ),
inference(superposition,[],[f3,f116]) ).
fof(f183,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f184,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f183,f4]) ).
fof(f194,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c6,X0))
| ~ spl0_9 ),
inference(superposition,[],[f4,f180]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = X0
| ~ spl0_9 ),
inference(forward_demodulation,[],[f194,f1]) ).
fof(f204,plain,
( sk_c9 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_9 ),
inference(superposition,[],[f195,f102]) ).
fof(f227,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f184,f3]) ).
fof(f228,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f184,f184]) ).
fof(f229,plain,
( sk_c5 = multiply(inverse(sk_c8),identity)
| ~ spl0_10 ),
inference(superposition,[],[f184,f181]) ).
fof(f235,plain,
( sk_c9 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_13 ),
inference(superposition,[],[f184,f131]) ).
fof(f248,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f235,f126]) ).
fof(f249,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f227,f228]) ).
fof(f252,plain,
( sk_c8 = multiply(inverse(sk_c9),sk_c9)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f184,f248]) ).
fof(f254,plain,
( identity = sk_c8
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f252,f3]) ).
fof(f302,plain,
( identity = multiply(identity,sk_c5)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f181,f254]) ).
fof(f305,plain,
( identity = sk_c5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f302,f1]) ).
fof(f320,plain,
( identity = multiply(sk_c8,multiply(inverse(sk_c8),identity))
| ~ spl0_10 ),
inference(superposition,[],[f181,f229]) ).
fof(f321,plain,
( sk_c7 = multiply(multiply(inverse(sk_c8),identity),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f121,f229]) ).
fof(f324,plain,
( sk_c7 = multiply(inverse(sk_c8),multiply(identity,sk_c8))
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f321,f4]) ).
fof(f325,plain,
( identity = multiply(sk_c8,inverse(sk_c8))
| ~ spl0_10 ),
inference(forward_demodulation,[],[f320,f249]) ).
fof(f329,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f324,f1]) ).
fof(f330,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f325,f254]) ).
fof(f333,plain,
( identity = sk_c7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f329,f3]) ).
fof(f334,plain,
( identity = inverse(identity)
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f330,f1]) ).
fof(f339,plain,
( sk_c9 = multiply(identity,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f204,f333]) ).
fof(f342,plain,
( identity != multiply(sk_c8,sk_c9)
| spl0_6
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f97,f333]) ).
fof(f343,plain,
( identity != multiply(identity,sk_c9)
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f342,f254]) ).
fof(f346,plain,
( identity = sk_c9
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f339,f1]) ).
fof(f347,plain,
( identity != sk_c9
| spl0_6
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f343,f1]) ).
fof(f349,plain,
( $false
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f347,f346]) ).
fof(f350,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f381,plain,
( identity = inverse(sk_c1)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f156,f254]) ).
fof(f387,plain,
( ! [X3] :
( identity != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f87,f254]) ).
fof(f408,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_8 ),
inference(superposition,[],[f3,f106]) ).
fof(f415,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(superposition,[],[f3,f381]) ).
fof(f416,plain,
( identity = sk_c1
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_demodulation,[],[f415,f1]) ).
fof(f426,plain,
( sk_c9 = multiply(inverse(sk_c2),sk_c3)
| ~ spl0_14 ),
inference(superposition,[],[f184,f136]) ).
fof(f429,plain,
( sk_c9 = multiply(sk_c9,sk_c3)
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_demodulation,[],[f426,f106]) ).
fof(f491,plain,
( identity != sk_c8
| sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f387,f131]) ).
fof(f497,plain,
( sk_c9 != inverse(sk_c4)
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f491,f254]) ).
fof(f507,plain,
( $false
| ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f497,f126]) ).
fof(f508,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f507]) ).
fof(f528,plain,
( sk_c8 = sk_c9
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f429,f146]) ).
fof(f544,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_16 ),
inference(superposition,[],[f3,f156]) ).
fof(f562,plain,
( sk_c3 = multiply(inverse(sk_c9),sk_c8)
| ~ spl0_15 ),
inference(superposition,[],[f184,f146]) ).
fof(f565,plain,
( sk_c3 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f562,f528]) ).
fof(f568,plain,
( identity = sk_c3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f565,f3]) ).
fof(f575,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c9)
| ~ spl0_17 ),
inference(superposition,[],[f184,f166]) ).
fof(f578,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c8)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(forward_demodulation,[],[f575,f528]) ).
fof(f579,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f578,f156]) ).
fof(f583,plain,
( sk_c2 = multiply(inverse(sk_c9),identity)
| ~ spl0_8 ),
inference(superposition,[],[f184,f408]) ).
fof(f586,plain,
( sk_c2 = inverse(sk_c9)
| ~ spl0_8 ),
inference(forward_demodulation,[],[f583,f249]) ).
fof(f589,plain,
( sk_c2 = inverse(sk_c8)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f586,f528]) ).
fof(f613,plain,
( sk_c8 != sk_c3
| sk_c9 != inverse(sk_c2)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f87,f136]) ).
fof(f615,plain,
( sk_c8 != sk_c3
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f613,f106]) ).
fof(f622,plain,
( identity != sk_c8
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f615,f568]) ).
fof(f652,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_16 ),
inference(superposition,[],[f184,f544]) ).
fof(f655,plain,
( sk_c1 = inverse(sk_c8)
| ~ spl0_16 ),
inference(forward_demodulation,[],[f652,f249]) ).
fof(f690,plain,
( sk_c9 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f166,f655]) ).
fof(f692,plain,
( identity = sk_c9
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f690,f3]) ).
fof(f703,plain,
( sk_c3 = multiply(sk_c2,identity)
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f136,f692]) ).
fof(f704,plain,
( sk_c8 = multiply(identity,sk_c3)
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f146,f692]) ).
fof(f708,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f528,f692]) ).
fof(f714,plain,
( sk_c8 = sk_c3
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f704,f1]) ).
fof(f715,plain,
( sk_c3 = sk_c2
| ~ spl0_14
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f703,f249]) ).
fof(f722,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f714,f568]) ).
fof(f723,plain,
( sk_c3 = inverse(sk_c8)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f715,f589]) ).
fof(f727,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f722,f622]) ).
fof(f728,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f727]) ).
fof(f729,plain,
( identity = inverse(sk_c8)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f723,f568]) ).
fof(f734,plain,
( ! [X0] :
( sk_c8 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f93,f528]) ).
fof(f735,plain,
( ! [X0] :
( identity != multiply(X0,identity)
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f734,f708]) ).
fof(f736,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f735,f249]) ).
fof(f737,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f736,f708]) ).
fof(f740,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f737,f156]) ).
fof(f743,plain,
( identity != sk_c1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f740,f708]) ).
fof(f747,plain,
( identity != inverse(sk_c8)
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f743,f655]) ).
fof(f749,plain,
( $false
| ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f747,f729]) ).
fof(f750,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f760,plain,
( ! [X5] :
( multiply(sk_c8,sk_c9) != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f81,f96]) ).
fof(f761,plain,
( ! [X5] :
( inverse(X5) != multiply(sk_c8,sk_c8)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f760,f528]) ).
fof(f762,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f761,f579]) ).
fof(f763,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f762,f708]) ).
fof(f764,plain,
( ! [X5] :
( sk_c7 != multiply(X5,sk_c8)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f763,f528]) ).
fof(f765,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f764,f708]) ).
fof(f766,plain,
( ! [X5] :
( sk_c7 != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f765,f249]) ).
fof(f767,plain,
( ! [X5] :
( multiply(sk_c8,sk_c9) != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f766,f96]) ).
fof(f768,plain,
( ! [X5] :
( multiply(sk_c8,sk_c8) != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f767,f528]) ).
fof(f769,plain,
( ! [X5] :
( sk_c8 != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f768,f579]) ).
fof(f770,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != X5 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f769,f708]) ).
fof(f772,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f544,f708]) ).
fof(f775,plain,
( identity = sk_c1
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f772,f1]) ).
fof(f781,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f770,f156]) ).
fof(f784,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f781,f708]) ).
fof(f788,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f784,f775]) ).
fof(f789,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f800,plain,
( ! [X2,X1] :
( sk_c8 != multiply(sk_c8,X1)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f90,f528]) ).
fof(f801,plain,
( ! [X2,X1] :
( identity != multiply(identity,X1)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f800,f708]) ).
fof(f802,plain,
( ! [X2,X1] :
( identity != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f801,f1]) ).
fof(f803,plain,
( ! [X2,X1] :
( sk_c8 != inverse(X2)
| identity != X1
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f802,f528]) ).
fof(f804,plain,
( ! [X2,X1] :
( identity != inverse(X2)
| identity != X1
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f803,f708]) ).
fof(f805,plain,
( ! [X2,X1] :
( multiply(X2,sk_c8) != X1
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f804,f528]) ).
fof(f806,plain,
( ! [X2,X1] :
( multiply(X2,identity) != X1
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f805,f708]) ).
fof(f807,plain,
( ! [X2,X1] :
( X1 != X2
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f806,f249]) ).
fof(f821,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(equality_resolution,[],[f807]) ).
fof(f832,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f821,f156]) ).
fof(f835,plain,
( identity != sk_c1
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f832,f708]) ).
fof(f839,plain,
( $false
| ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f835,f775]) ).
fof(f840,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f851,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f84,f708]) ).
fof(f852,plain,
( ! [X4] :
( sk_c7 != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f851,f249]) ).
fof(f853,plain,
( ! [X4] :
( multiply(sk_c8,sk_c9) != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f852,f96]) ).
fof(f854,plain,
( ! [X4] :
( multiply(sk_c8,sk_c8) != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f853,f528]) ).
fof(f855,plain,
( ! [X4] :
( sk_c8 != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f854,f579]) ).
fof(f856,plain,
( ! [X4] :
( identity != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f855,f708]) ).
fof(f857,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != X4 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f856,f708]) ).
fof(f875,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f857,f156]) ).
fof(f879,plain,
( identity != sk_c1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f875,f708]) ).
fof(f885,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f879,f775]) ).
fof(f886,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f885]) ).
fof(f933,plain,
( ! [X4] :
( sk_c7 != multiply(X4,identity)
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f84,f254]) ).
fof(f958,plain,
( ! [X4] :
( sk_c7 != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f933,f249]) ).
fof(f974,plain,
( ! [X4] :
( multiply(sk_c8,sk_c9) != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f958,f96]) ).
fof(f985,plain,
( ! [X4] :
( multiply(sk_c8,identity) != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f974,f692]) ).
fof(f992,plain,
( ! [X4] :
( sk_c8 != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f985,f249]) ).
fof(f996,plain,
( ! [X4] :
( identity != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f992,f254]) ).
fof(f998,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != X4 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f996,f254]) ).
fof(f1063,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f998,f156]) ).
fof(f1065,plain,
( identity != sk_c1
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1063,f254]) ).
fof(f1070,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1065,f416]) ).
fof(f1071,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1070]) ).
fof(f1076,plain,
( ! [X2,X1] :
( sk_c8 != multiply(identity,X1)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f90,f692]) ).
fof(f1077,plain,
( ! [X2,X1] :
( sk_c8 != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1076,f1]) ).
fof(f1078,plain,
( ! [X2,X1] :
( identity != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1077,f254]) ).
fof(f1079,plain,
( ! [X2,X1] :
( identity != inverse(X2)
| identity != X1
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1078,f692]) ).
fof(f1080,plain,
( ! [X2,X1] :
( multiply(X2,identity) != X1
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1079,f692]) ).
fof(f1081,plain,
( ! [X2,X1] :
( X1 != X2
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1080,f249]) ).
fof(f1084,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(equality_resolution,[],[f1081]) ).
fof(f1103,plain,
( identity != sk_c8
| identity != sk_c5
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1084,f116]) ).
fof(f1105,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1084,f156]) ).
fof(f1107,plain,
( identity != sk_c1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1105,f254]) ).
fof(f1109,plain,
( identity != sk_c5
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1103,f254]) ).
fof(f1112,plain,
( $false
| ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1107,f416]) ).
fof(f1113,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1112]) ).
fof(f1116,plain,
( $false
| ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1109,f305]) ).
fof(f1117,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1116]) ).
fof(f1118,plain,
( ! [X5] :
( multiply(sk_c8,sk_c9) != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f81,f96]) ).
fof(f1119,plain,
( ! [X5] :
( inverse(X5) != multiply(sk_c8,identity)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1118,f692]) ).
fof(f1120,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1119,f249]) ).
fof(f1121,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1120,f254]) ).
fof(f1122,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1121,f692]) ).
fof(f1123,plain,
( ! [X5] :
( sk_c7 != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1122,f249]) ).
fof(f1124,plain,
( ! [X5] :
( multiply(sk_c8,sk_c9) != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1123,f96]) ).
fof(f1125,plain,
( ! [X5] :
( multiply(sk_c8,identity) != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1124,f692]) ).
fof(f1126,plain,
( ! [X5] :
( sk_c8 != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1125,f249]) ).
fof(f1127,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != X5 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1126,f254]) ).
fof(f1170,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1127,f156]) ).
fof(f1172,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1170,f254]) ).
fof(f1177,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1172,f416]) ).
fof(f1178,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1177]) ).
fof(f1183,plain,
( ! [X0] :
( sk_c9 != multiply(X0,identity)
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f93,f254]) ).
fof(f1184,plain,
( ! [X0] :
( sk_c9 != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1183,f249]) ).
fof(f1185,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1184,f692]) ).
fof(f1186,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1185,f254]) ).
fof(f1194,plain,
( identity != sk_c8
| identity != sk_c5
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1186,f116]) ).
fof(f1196,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(superposition,[],[f1186,f156]) ).
fof(f1198,plain,
( identity != sk_c1
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1196,f254]) ).
fof(f1200,plain,
( identity != sk_c5
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1194,f254]) ).
fof(f1203,plain,
( $false
| ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1198,f416]) ).
fof(f1204,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1203]) ).
fof(f1207,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[],[f1200,f305]) ).
fof(f1208,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1210,plain,
( ! [X4] :
( multiply(identity,sk_c9) != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f974,f254]) ).
fof(f1212,plain,
( sk_c9 != multiply(sk_c1,identity)
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(forward_demodulation,[],[f165,f254]) ).
fof(f1230,plain,
( ! [X4] :
( sk_c9 != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1210,f1]) ).
fof(f1232,plain,
( sk_c9 != sk_c1
| ~ spl0_12
| ~ spl0_13
| spl0_17 ),
inference(forward_demodulation,[],[f1212,f249]) ).
fof(f1247,plain,
( ! [X4] :
( identity != X4
| sk_c8 != inverse(X4) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1230,f346]) ).
fof(f1249,plain,
( sk_c9 != inverse(sk_c8)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f1232,f655]) ).
fof(f1260,plain,
( ! [X4] :
( identity != inverse(X4)
| identity != X4 )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1247,f254]) ).
fof(f1262,plain,
( sk_c9 != inverse(identity)
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f1249,f254]) ).
fof(f1269,plain,
( identity != sk_c9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| spl0_17 ),
inference(forward_demodulation,[],[f1262,f334]) ).
fof(f1274,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| spl0_17 ),
inference(forward_subsumption_resolution,[],[f1269,f346]) ).
fof(f1275,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f1274]) ).
fof(f1309,plain,
( identity != sk_c8
| identity != sk_c5
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1260,f116]) ).
fof(f1316,plain,
( identity != sk_c5
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1309,f254]) ).
fof(f1321,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1316,f305]) ).
fof(f1322,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1321]) ).
fof(f1323,plain,
( ! [X2,X1] :
( sk_c8 != multiply(identity,X1)
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f90,f346]) ).
fof(f1324,plain,
( ! [X2,X1] :
( sk_c8 != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1323,f1]) ).
fof(f1325,plain,
( ! [X2,X1] :
( identity != X1
| sk_c9 != inverse(X2)
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1324,f254]) ).
fof(f1326,plain,
( ! [X2,X1] :
( identity != inverse(X2)
| identity != X1
| multiply(X2,sk_c9) != X1 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1325,f346]) ).
fof(f1327,plain,
( ! [X2,X1] :
( multiply(X2,identity) != X1
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1326,f346]) ).
fof(f1328,plain,
( ! [X2,X1] :
( X1 != X2
| identity != inverse(X2)
| identity != X1 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1327,f249]) ).
fof(f1342,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(equality_resolution,[],[f1328]) ).
fof(f1359,plain,
( identity != sk_c8
| identity != sk_c5
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1342,f116]) ).
fof(f1367,plain,
( identity != sk_c5
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1359,f254]) ).
fof(f1374,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1367,f305]) ).
fof(f1375,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1374]) ).
fof(f1376,plain,
( ! [X5] :
( multiply(sk_c8,sk_c9) != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f81,f96]) ).
fof(f1377,plain,
( ! [X5] :
( inverse(X5) != multiply(sk_c8,identity)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1376,f346]) ).
fof(f1378,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1377,f249]) ).
fof(f1379,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c9) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1378,f254]) ).
fof(f1380,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1379,f346]) ).
fof(f1381,plain,
( ! [X5] :
( sk_c7 != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1380,f249]) ).
fof(f1382,plain,
( ! [X5] :
( multiply(sk_c8,sk_c9) != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1381,f96]) ).
fof(f1383,plain,
( ! [X5] :
( multiply(sk_c8,identity) != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1382,f346]) ).
fof(f1384,plain,
( ! [X5] :
( sk_c8 != X5
| identity != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1383,f249]) ).
fof(f1385,plain,
( ! [X5] :
( identity != inverse(X5)
| identity != X5 )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1384,f254]) ).
fof(f1397,plain,
( identity != sk_c8
| identity != sk_c5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1385,f116]) ).
fof(f1405,plain,
( identity != sk_c5
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1397,f254]) ).
fof(f1412,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1405,f305]) ).
fof(f1413,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1412]) ).
fof(f1415,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c8 )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1184,f346]) ).
fof(f1417,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1415,f254]) ).
fof(f1461,plain,
( identity != sk_c8
| identity != sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f1417,f116]) ).
fof(f1469,plain,
( identity != sk_c5
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1461,f254]) ).
fof(f1476,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f1469,f305]) ).
fof(f1477,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f98]) ).
cnf(s2,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f107]) ).
cnf(s3,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f112]) ).
cnf(s4,plain,
( spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f117]) ).
cnf(s5,plain,
( spl0_8
| spl0_11 ),
inference(sat_conversion,[],[f122]) ).
cnf(s6,plain,
( spl0_8
| spl0_12 ),
inference(sat_conversion,[],[f127]) ).
cnf(s7,plain,
( spl0_8
| spl0_13 ),
inference(sat_conversion,[],[f132]) ).
cnf(s8,plain,
( spl0_7
| spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s12,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s13,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s14,plain,
( spl0_7
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s18,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f151]) ).
cnf(s19,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f152]) ).
cnf(s20,plain,
( spl0_7
| spl0_16 ),
inference(sat_conversion,[],[f157]) ).
cnf(s21,plain,
( spl0_9
| spl0_16 ),
inference(sat_conversion,[],[f158]) ).
cnf(s22,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f159]) ).
cnf(s23,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f160]) ).
cnf(s24,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f161]) ).
cnf(s25,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f162]) ).
cnf(s26,plain,
( spl0_7
| spl0_17 ),
inference(sat_conversion,[],[f167]) ).
cnf(s27,plain,
( spl0_9
| spl0_17 ),
inference(sat_conversion,[],[f168]) ).
cnf(s28,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f169]) ).
cnf(s29,plain,
( spl0_11
| spl0_17 ),
inference(sat_conversion,[],[f170]) ).
cnf(s30,plain,
( spl0_12
| spl0_17 ),
inference(sat_conversion,[],[f171]) ).
cnf(s31,plain,
( spl0_13
| spl0_17 ),
inference(sat_conversion,[],[f172]) ).
cnf(s32,plain,
( spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f173]) ).
cnf(s33,plain,
( spl0_6
| spl0_9 ),
inference(sat_conversion,[],[f174]) ).
cnf(s34,plain,
( spl0_6
| spl0_10 ),
inference(sat_conversion,[],[f175]) ).
cnf(s35,plain,
( spl0_6
| spl0_11 ),
inference(sat_conversion,[],[f176]) ).
cnf(s36,plain,
( spl0_6
| spl0_12 ),
inference(sat_conversion,[],[f177]) ).
cnf(s37,plain,
( spl0_6
| spl0_13 ),
inference(sat_conversion,[],[f178]) ).
cnf(s38,plain,
( spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f350]) ).
cnf(s44,plain,
( ~ spl0_3
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f508]) ).
cnf(s56,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f728]) ).
cnf(s59,plain,
( ~ spl0_5
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f750]) ).
cnf(s62,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f789]) ).
cnf(s65,plain,
( ~ spl0_4
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f840]) ).
cnf(s71,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f886]) ).
cnf(s74,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s78,plain,
( ~ spl0_4
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1113]) ).
cnf(s80,plain,
( ~ spl0_4
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1117]) ).
cnf(s83,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1178]) ).
cnf(s87,plain,
( ~ spl0_5
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1204]) ).
cnf(s89,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f1208]) ).
cnf(s90,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s94,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1322]) ).
cnf(s99,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1375]) ).
cnf(s104,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1413]) ).
cnf(s109,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f1477]) ).
cnf(s110,plain,
spl0_6,
inference(rat,[],[s38,s32,s33,s34,s35,s36,s37]) ).
cnf(s111,plain,
( spl0_8
| ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s109,s3,s4,s5,s6,s7]) ).
cnf(s112,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s59,s13,s19,s25,s31]) ).
cnf(s113,plain,
( spl0_12
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s59,s12,s18,s24,s30]) ).
cnf(s114,plain,
( ~ spl0_10
| ~ spl0_9
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12
| ~ spl0_13 ),
inference(rat,[],[s89,s23,s29,s109]) ).
cnf(s115,plain,
( spl0_10
| ~ spl0_8
| ~ spl0_5 ),
inference(rat,[],[s87,s22,s28,s112,s113]) ).
cnf(s116,plain,
( ~ spl0_10
| ~ spl0_13
| ~ spl0_5
| ~ spl0_7
| ~ spl0_12 ),
inference(rat,[],[s89,s21,s27,s114]) ).
cnf(s117,plain,
( ~ spl0_7
| ~ spl0_5 ),
inference(rat,[],[s116,s115,s113,s112,s111]) ).
cnf(s118,plain,
~ spl0_5,
inference(rat,[],[s59,s2,s8,s14,s20,s26,s117]) ).
cnf(s119,plain,
( spl0_13
| ~ spl0_4 ),
inference(rat,[],[s65,s7,s13,s19,s25,s31]) ).
cnf(s120,plain,
( ~ spl0_16
| ~ spl0_12
| ~ spl0_10
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s90,s27,s29,s80,s119]) ).
cnf(s121,plain,
( ~ spl0_12
| ~ spl0_10
| ~ spl0_7
| ~ spl0_4 ),
inference(rat,[],[s99,s21,s23,s120,s119]) ).
cnf(s122,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s65,s6,s12,s18,s24,s30]) ).
cnf(s123,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s78,s22,s28,s119,s122]) ).
cnf(s124,plain,
~ spl0_4,
inference(rat,[],[s78,s20,s26,s121,s123,s122,s119]) ).
cnf(s125,plain,
( spl0_13
| ~ spl0_3 ),
inference(rat,[],[s56,s7,s13,s19,s25,s31]) ).
cnf(s126,plain,
( ~ spl0_13
| ~ spl0_3 ),
inference(rat,[],[s56,s6,s12,s18,s24,s30,s44]) ).
cnf(s127,plain,
~ spl0_3,
inference(rat,[],[s126,s125]) ).
cnf(s128,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s71,s7,s13,s19,s25,s31,s110]) ).
cnf(s129,plain,
( ~ spl0_16
| ~ spl0_12
| ~ spl0_2
| ~ spl0_13 ),
inference(rat,[],[s90,s26,s27,s28,s29,s74,s110]) ).
cnf(s130,plain,
( ~ spl0_12
| ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s94,s20,s21,s22,s23,s129,s110]) ).
cnf(s131,plain,
( ~ spl0_13
| ~ spl0_2 ),
inference(rat,[],[s71,s6,s12,s18,s24,s30,s130,s110]) ).
cnf(s132,plain,
~ spl0_2,
inference(rat,[],[s131,s128]) ).
cnf(s133,plain,
spl0_1,
inference(rat,[],[s1,s124,s118,s127,s110,s132]) ).
cnf(s134,plain,
spl0_13,
inference(rat,[],[s62,s7,s13,s19,s25,s31,s133,s110]) ).
cnf(s135,plain,
( ~ spl0_12
| ~ spl0_16 ),
inference(rat,[],[s90,s26,s27,s28,s29,s83,s133,s110,s134]) ).
cnf(s136,plain,
~ spl0_16,
inference(rat,[],[s62,s6,s12,s18,s30,s135,s133,s110]) ).
cnf(s137,plain,
spl0_12,
inference(rat,[],[s24,s136]) ).
cnf(s138,plain,
spl0_11,
inference(rat,[],[s23,s136]) ).
cnf(s139,plain,
spl0_10,
inference(rat,[],[s22,s136]) ).
cnf(s140,plain,
spl0_9,
inference(rat,[],[s21,s136]) ).
cnf(s141,plain,
spl0_7,
inference(rat,[],[s20,s136]) ).
cnf(s142,plain,
$false,
inference(rat,[],[s104,s138,s139,s137,s133,s110,s134,s140,s141]) ).
fof(f1478,plain,
$false,
inference(avatar_sat_refutation,[],[s142]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP319-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n026.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:53:12 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.46 % (2588930)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2588940)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1557484801:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (2588935)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3568288782_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (2588937)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3382832237:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2588938)dis+10_1_sil=32000:sp=arity:random_seed=218789606:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (2588939)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3341340225:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (2588941)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4270491032:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (2588936)% WARNING: option uhcvi not known.
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % (2588940) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2588930-2588940"...
% 0.10/0.46 % (2588936)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3050002656:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (2588940)...printing done.
% 0.10/0.46 % TRYING [4]
% 0.10/0.46 % (2588940)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (2588940)------------------------------
% 0.10/0.46 % (2588940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (2588940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (2588940)CaDiCaL version: 2.1.3
% 0.10/0.46 % (2588940)Termination reason: Refutation
% 0.10/0.46 % (2588940)Time elapsed: 0.014 s
% 0.10/0.46 % (2588940)Peak memory usage: 12 MB
% 0.10/0.46 % (2588940)Instructions burned: 41 (million)
% 0.10/0.46 % (2588930)Success in time 0.04 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------