%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP293-1 : 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 : n019.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 10:17:24 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 56
% Syntax : Number of formulae : 392 ( 26 unt; 16 def)
% Number of atoms : 1495 ( 411 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 2132 (1029 ~;1087 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 97 ( 0 sgn 97 !; 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_c7) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c8,sk_c7) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c1,sk_c8) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c8 = inverse(sk_c1)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c1) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c8 = inverse(sk_c1)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c1) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c8,sk_c6) = sk_c7
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c6
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
( sk_c8 = inverse(sk_c2)
| sk_c6 = multiply(sk_c7,sk_c8) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c3,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f68,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = multiply(sk_c3,sk_c7) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c3) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f70,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c8,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f72,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c8,sk_c5) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c4,sk_c8) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c8) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c4) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f76,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| multiply(X0,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(X1,sk_c8) != sk_c6
| inverse(X1) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6
| multiply(X2,sk_c7) != sk_c8
| inverse(X2) != sk_c7
| multiply(sk_c8,X3) != sk_c7
| multiply(X4,sk_c8) != X3
| inverse(X4) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( multiply(sk_c8,sk_c7) != sk_c6
| sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(sk_c8,sk_c6)
| sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1)
| sk_c6 != multiply(sk_c7,sk_c8)
| sk_c8 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2)
| sk_c7 != multiply(sk_c8,X3)
| multiply(X4,sk_c8) != X3
| sk_c8 != inverse(X4) ),
inference(reorient_equations,[],[f77]) ).
fof(f80,definition,
( spl0_1
<=> ! [X4,X3] :
( sk_c7 != multiply(sk_c8,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f81,plain,
( ! [X3,X4] :
( sk_c7 != multiply(sk_c8,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,definition,
( spl0_2
<=> ! [X2] :
( sk_c8 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f84,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c7)
| sk_c7 != inverse(X2) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl0_3
<=> sk_c6 = multiply(sk_c7,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f87,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( sk_c6 != multiply(sk_c7,sk_c8)
| spl0_3 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f90,definition,
( spl0_4
<=> ! [X1] :
( sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f91,plain,
( ! [X1] :
( sk_c6 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f93,definition,
( spl0_5
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f94,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f95,plain,
( sk_c7 != multiply(sk_c8,sk_c6)
| spl0_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f97,definition,
( spl0_6
<=> ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 ) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f98,plain,
( ! [X0] :
( sk_c7 != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,definition,
( spl0_7
<=> multiply(sk_c8,sk_c7) = sk_c6 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f101,plain,
( multiply(sk_c8,sk_c7) = sk_c6
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( multiply(sk_c8,sk_c7) != sk_c6
| spl0_7 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f78,f100,f97,f93,f90,f86,f83,f80]) ).
fof(f105,definition,
( spl0_8
<=> sk_c8 = inverse(sk_c4) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f107,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f109,definition,
( spl0_9
<=> sk_c8 = inverse(sk_c2) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f111,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f76,f109,f105]) ).
fof(f114,definition,
( spl0_10
<=> sk_c5 = multiply(sk_c4,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f116,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f117,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f74,f109,f114]) ).
fof(f119,definition,
( spl0_11
<=> sk_c7 = multiply(sk_c8,sk_c5) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f121,plain,
( sk_c7 = multiply(sk_c8,sk_c5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f72,f109,f119]) ).
fof(f124,definition,
( spl0_12
<=> sk_c7 = inverse(sk_c3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f126,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f127,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f70,f109,f124]) ).
fof(f129,definition,
( spl0_13
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f130,plain,
( sk_c8 != multiply(sk_c3,sk_c7)
| spl0_13 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f131,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f132,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f68,f109,f129]) ).
fof(f133,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f66,f109,f86]) ).
fof(f135,definition,
( spl0_14
<=> sk_c6 = multiply(sk_c2,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f137,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,plain,
( spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f64,f135,f105]) ).
fof(f139,plain,
( spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f62,f135,f114]) ).
fof(f140,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f60,f135,f119]) ).
fof(f141,plain,
( spl0_12
| spl0_14 ),
inference(avatar_split_clause,[],[f58,f135,f124]) ).
fof(f142,plain,
( spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f56,f135,f129]) ).
fof(f143,plain,
( spl0_3
| spl0_14 ),
inference(avatar_split_clause,[],[f54,f135,f86]) ).
fof(f144,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f52,f93,f105]) ).
fof(f145,plain,
( spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f50,f93,f114]) ).
fof(f146,plain,
( spl0_11
| spl0_5 ),
inference(avatar_split_clause,[],[f48,f93,f119]) ).
fof(f147,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f46,f93,f124]) ).
fof(f148,plain,
( spl0_13
| spl0_5 ),
inference(avatar_split_clause,[],[f44,f93,f129]) ).
fof(f149,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f42,f93,f86]) ).
fof(f151,definition,
( spl0_15
<=> sk_c8 = inverse(sk_c1) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f153,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,plain,
( spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f40,f151,f105]) ).
fof(f155,plain,
( spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f38,f151,f114]) ).
fof(f156,plain,
( spl0_11
| spl0_15 ),
inference(avatar_split_clause,[],[f36,f151,f119]) ).
fof(f157,plain,
( spl0_12
| spl0_15 ),
inference(avatar_split_clause,[],[f34,f151,f124]) ).
fof(f158,plain,
( spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f32,f151,f129]) ).
fof(f159,plain,
( spl0_3
| spl0_15 ),
inference(avatar_split_clause,[],[f30,f151,f86]) ).
fof(f161,definition,
( spl0_16
<=> sk_c7 = multiply(sk_c1,sk_c8) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f163,plain,
( sk_c7 = multiply(sk_c1,sk_c8)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f164,plain,
( spl0_8
| spl0_16 ),
inference(avatar_split_clause,[],[f28,f161,f105]) ).
fof(f165,plain,
( spl0_10
| spl0_16 ),
inference(avatar_split_clause,[],[f26,f161,f114]) ).
fof(f166,plain,
( spl0_11
| spl0_16 ),
inference(avatar_split_clause,[],[f24,f161,f119]) ).
fof(f167,plain,
( spl0_12
| spl0_16 ),
inference(avatar_split_clause,[],[f22,f161,f124]) ).
fof(f168,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f20,f161,f129]) ).
fof(f169,plain,
( spl0_3
| spl0_16 ),
inference(avatar_split_clause,[],[f18,f161,f86]) ).
fof(f170,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f100,f105]) ).
fof(f171,plain,
( spl0_10
| spl0_7 ),
inference(avatar_split_clause,[],[f14,f100,f114]) ).
fof(f172,plain,
( spl0_11
| spl0_7 ),
inference(avatar_split_clause,[],[f12,f100,f119]) ).
fof(f173,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f10,f100,f124]) ).
fof(f174,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f8,f100,f129]) ).
fof(f175,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f100,f86]) ).
fof(f176,plain,
( sk_c7 != multiply(sk_c8,multiply(sk_c7,sk_c8))
| ~ spl0_3
| spl0_5 ),
inference(forward_demodulation,[],[f95,f87]) ).
fof(f178,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f3,f107]) ).
fof(f179,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f3,f126]) ).
fof(f180,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f181,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f180,f4]) ).
fof(f187,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c8,X0))
| ~ spl0_10 ),
inference(superposition,[],[f4,f116]) ).
fof(f191,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
| ~ spl0_8 ),
inference(superposition,[],[f4,f178]) ).
fof(f192,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
| ~ spl0_8 ),
inference(forward_demodulation,[],[f191,f1]) ).
fof(f195,plain,
( sk_c8 = multiply(sk_c8,sk_c5)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f192,f116]) ).
fof(f202,plain,
( sk_c8 = sk_c7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f121,f195]) ).
fof(f212,plain,
( multiply(sk_c4,sk_c8) = multiply(sk_c5,sk_c5)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f187,f195]) ).
fof(f222,plain,
( sk_c5 = multiply(sk_c5,sk_c5)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f212,f116]) ).
fof(f232,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f181,f3]) ).
fof(f233,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f181,f181]) ).
fof(f236,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_8 ),
inference(superposition,[],[f181,f178]) ).
fof(f239,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_12 ),
inference(superposition,[],[f181,f179]) ).
fof(f240,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_13 ),
inference(superposition,[],[f181,f131]) ).
fof(f242,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c5)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f181,f222]) ).
fof(f249,plain,
( identity = sk_c5
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f242,f3]) ).
fof(f251,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f240,f126]) ).
fof(f252,plain,
( sk_c3 = multiply(inverse(sk_c8),identity)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f239,f202]) ).
fof(f256,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f232,f233]) ).
fof(f258,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f251,f202]) ).
fof(f301,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f181,f258]) ).
fof(f303,plain,
( identity = sk_c8
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f301,f3]) ).
fof(f310,plain,
( identity = multiply(sk_c8,multiply(inverse(sk_c8),identity))
| ~ spl0_8 ),
inference(superposition,[],[f178,f236]) ).
fof(f315,plain,
( identity = multiply(sk_c8,inverse(sk_c8))
| ~ spl0_8 ),
inference(forward_demodulation,[],[f310,f256]) ).
fof(f320,plain,
( identity = multiply(identity,inverse(identity))
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f315,f303]) ).
fof(f324,plain,
( identity = inverse(identity)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f320,f1]) ).
fof(f330,plain,
( sk_c7 = multiply(identity,sk_c5)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f121,f303]) ).
fof(f331,plain,
( sk_c7 != multiply(identity,multiply(sk_c7,identity))
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f176,f303]) ).
fof(f332,plain,
( identity = multiply(identity,sk_c4)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f178,f303]) ).
fof(f342,plain,
( identity = sk_c4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f332,f1]) ).
fof(f343,plain,
( sk_c7 != multiply(sk_c7,identity)
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f331,f1]) ).
fof(f344,plain,
( sk_c7 = sk_c5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f330,f1]) ).
fof(f349,plain,
( $false
| ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f343,f256]) ).
fof(f350,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f349]) ).
fof(f351,plain,
( identity = sk_c7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f344,f249]) ).
fof(f363,plain,
( multiply(sk_c8,sk_c7) != multiply(sk_c7,sk_c8)
| ~ spl0_3
| spl0_7 ),
inference(forward_demodulation,[],[f102,f87]) ).
fof(f365,plain,
( multiply(sk_c7,identity) != multiply(identity,sk_c7)
| ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f363,f303]) ).
fof(f367,plain,
( sk_c7 != multiply(sk_c7,identity)
| ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f365,f1]) ).
fof(f368,plain,
( $false
| ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f367,f256]) ).
fof(f369,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f368]) ).
fof(f370,plain,
( ! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c8 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f98,f303]) ).
fof(f372,plain,
( ! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c8 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f370,f256]) ).
fof(f374,plain,
( ! [X0] :
( sk_c8 != X0
| inverse(X0) != sk_c8 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f372,f202]) ).
fof(f376,plain,
( ! [X0] :
( identity != X0
| inverse(X0) != sk_c8 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f374,f303]) ).
fof(f377,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f376,f303]) ).
fof(f405,plain,
( identity != sk_c7
| identity != sk_c3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f377,f126]) ).
fof(f406,plain,
( identity != sk_c3
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f405,f351]) ).
fof(f408,plain,
( identity != multiply(inverse(sk_c8),identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f406,f252]) ).
fof(f411,plain,
( identity != inverse(sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f408,f256]) ).
fof(f412,plain,
( identity != inverse(identity)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f411,f303]) ).
fof(f413,plain,
( $false
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f412,f324]) ).
fof(f414,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f413]) ).
fof(f415,plain,
( ! [X3,X4] :
( sk_c7 != multiply(identity,X3)
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f81,f303]) ).
fof(f416,plain,
( ! [X3,X4] :
( sk_c7 != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f415,f1]) ).
fof(f417,plain,
( ! [X3,X4] :
( sk_c8 != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f416,f202]) ).
fof(f418,plain,
( ! [X3,X4] :
( identity != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f417,f303]) ).
fof(f419,plain,
( ! [X3,X4] :
( identity != inverse(X4)
| identity != X3
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f418,f303]) ).
fof(f420,plain,
( ! [X3,X4] :
( multiply(X4,identity) != X3
| identity != inverse(X4)
| identity != X3 )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f419,f303]) ).
fof(f421,plain,
( ! [X3,X4] :
( X3 != X4
| identity != inverse(X4)
| identity != X3 )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f420,f256]) ).
fof(f425,plain,
( identity = multiply(identity,sk_c3)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f179,f351]) ).
fof(f428,plain,
( identity = sk_c3
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f425,f1]) ).
fof(f436,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(equality_resolution,[],[f421]) ).
fof(f448,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f436,f107]) ).
fof(f451,plain,
( identity != sk_c4
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f448,f303]) ).
fof(f454,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f451,f342]) ).
fof(f455,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f454]) ).
fof(f456,plain,
( ! [X2] :
( sk_c8 != multiply(X2,sk_c8)
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f84,f202]) ).
fof(f457,plain,
( ! [X2] :
( identity != multiply(X2,identity)
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f456,f303]) ).
fof(f458,plain,
( ! [X2] :
( identity != X2
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f457,f256]) ).
fof(f459,plain,
( ! [X2] :
( sk_c8 != inverse(X2)
| identity != X2 )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f458,f202]) ).
fof(f460,plain,
( ! [X2] :
( identity != inverse(X2)
| identity != X2 )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f459,f303]) ).
fof(f470,plain,
( identity != sk_c8
| identity != sk_c4
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f460,f107]) ).
fof(f477,plain,
( identity != sk_c4
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f470,f303]) ).
fof(f480,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f477,f342]) ).
fof(f481,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f480]) ).
fof(f482,plain,
( ! [X1] :
( sk_c6 != multiply(X1,identity)
| sk_c8 != inverse(X1) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f91,f303]) ).
fof(f483,plain,
( ! [X1] :
( sk_c6 != X1
| sk_c8 != inverse(X1) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f482,f256]) ).
fof(f484,plain,
( ! [X1] :
( multiply(sk_c7,sk_c8) != X1
| sk_c8 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f483,f87]) ).
fof(f485,plain,
( ! [X1] :
( multiply(sk_c7,identity) != X1
| sk_c8 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f484,f303]) ).
fof(f486,plain,
( ! [X1] :
( sk_c7 != X1
| sk_c8 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f485,f256]) ).
fof(f487,plain,
( ! [X1] :
( sk_c8 != X1
| sk_c8 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f486,f202]) ).
fof(f488,plain,
( ! [X1] :
( identity != X1
| sk_c8 != inverse(X1) )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f487,f303]) ).
fof(f489,plain,
( ! [X1] :
( identity != inverse(X1)
| identity != X1 )
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_demodulation,[],[f488,f303]) ).
fof(f504,plain,
( identity != sk_c7
| identity != sk_c3
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f489,f126]) ).
fof(f511,plain,
( identity != sk_c3
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f504,f351]) ).
fof(f516,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f511,f428]) ).
fof(f517,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f550,plain,
( multiply(sk_c8,sk_c7) = multiply(sk_c2,sk_c8)
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f137,f101]) ).
fof(f551,plain,
( sk_c7 = multiply(sk_c8,multiply(sk_c8,sk_c7))
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f94,f101]) ).
fof(f555,plain,
( identity = multiply(sk_c8,sk_c2)
| ~ spl0_9 ),
inference(superposition,[],[f3,f111]) ).
fof(f559,plain,
( identity = multiply(sk_c8,sk_c1)
| ~ spl0_15 ),
inference(superposition,[],[f3,f153]) ).
fof(f564,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_16 ),
inference(superposition,[],[f181,f163]) ).
fof(f566,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f564,f153]) ).
fof(f568,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_9 ),
inference(superposition,[],[f181,f555]) ).
fof(f571,plain,
( sk_c2 = inverse(sk_c8)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f568,f256]) ).
fof(f582,plain,
( sk_c8 = multiply(inverse(sk_c2),multiply(sk_c8,sk_c7))
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f181,f550]) ).
fof(f583,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(multiply(sk_c8,sk_c7),X0)
| ~ spl0_7
| ~ spl0_14 ),
inference(superposition,[],[f4,f550]) ).
fof(f584,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_7
| ~ spl0_14 ),
inference(forward_demodulation,[],[f583,f4]) ).
fof(f585,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f582,f566]) ).
fof(f587,plain,
( ! [X0] : multiply(inverse(sk_c8),multiply(sk_c8,X0)) = multiply(sk_c8,multiply(sk_c7,X0))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f584,f571]) ).
fof(f588,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f585,f111]) ).
fof(f589,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f587,f181]) ).
fof(f591,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_15 ),
inference(superposition,[],[f181,f559]) ).
fof(f594,plain,
( sk_c1 = inverse(sk_c8)
| ~ spl0_15 ),
inference(forward_demodulation,[],[f591,f256]) ).
fof(f604,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(multiply(sk_c8,sk_c7),X0))
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f4,f551]) ).
fof(f605,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c8,multiply(sk_c7,X0)))
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f604,f4]) ).
fof(f608,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,X0)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f605,f589]) ).
fof(f613,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f163,f594]) ).
fof(f615,plain,
( identity = sk_c7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f613,f3]) ).
fof(f616,plain,
( sk_c3 = multiply(sk_c8,identity)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f589,f179]) ).
fof(f623,plain,
( sk_c8 = sk_c3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f616,f256]) ).
fof(f630,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f130,f623]) ).
fof(f637,plain,
( $false
| ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f630,f566]) ).
fof(f638,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f637]) ).
fof(f695,plain,
( ! [X0] : multiply(sk_c8,multiply(identity,X0)) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f589,f615]) ).
fof(f700,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f695,f1]) ).
fof(f726,plain,
( ! [X2] :
( sk_c8 != multiply(X2,identity)
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f84,f615]) ).
fof(f727,plain,
( ! [X2] :
( sk_c8 != X2
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f726,f256]) ).
fof(f813,plain,
( ! [X1] :
( multiply(sk_c8,sk_c7) != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_demodulation,[],[f91,f101]) ).
fof(f815,plain,
( ! [X1] :
( sk_c8 != multiply(X1,sk_c8)
| sk_c8 != inverse(X1) )
| ~ spl0_4
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f813,f566]) ).
fof(f824,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f815,f550]) ).
fof(f826,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f824,f566]) ).
fof(f831,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f826,f111]) ).
fof(f832,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f834,plain,
( ! [X0] :
( identity != multiply(X0,sk_c8)
| inverse(X0) != sk_c8 )
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f98,f615]) ).
fof(f836,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f551,f566]) ).
fof(f841,plain,
( sk_c8 = sk_c7
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f836,f588]) ).
fof(f842,plain,
( identity = sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f841,f615]) ).
fof(f848,plain,
( identity != sk_c7
| sk_c8 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f834,f163]) ).
fof(f852,plain,
( sk_c8 != inverse(sk_c1)
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f848,f615]) ).
fof(f861,plain,
( $false
| ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f852,f153]) ).
fof(f862,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f861]) ).
fof(f870,plain,
( ! [X3,X4] :
( sk_c7 != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f81,f700]) ).
fof(f871,plain,
( ! [X3,X4] :
( identity != X3
| sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f870,f615]) ).
fof(f872,plain,
( ! [X3,X4] :
( identity != inverse(X4)
| identity != X3
| multiply(X4,sk_c8) != X3 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f871,f842]) ).
fof(f873,plain,
( ! [X3,X4] :
( multiply(X4,identity) != X3
| identity != inverse(X4)
| identity != X3 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f872,f842]) ).
fof(f874,plain,
( ! [X3,X4] :
( X3 != X4
| identity != inverse(X4)
| identity != X3 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f873,f256]) ).
fof(f881,plain,
( identity = multiply(identity,sk_c1)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f559,f842]) ).
fof(f887,plain,
( identity = sk_c1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f881,f1]) ).
fof(f932,plain,
( ! [X0] :
( identity != inverse(X0)
| identity != X0 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(equality_resolution,[],[f874]) ).
fof(f962,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f932,f153]) ).
fof(f968,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f962,f842]) ).
fof(f972,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f968,f887]) ).
fof(f973,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f972]) ).
fof(f977,plain,
( ! [X2] :
( identity != X2
| sk_c7 != inverse(X2) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f727,f842]) ).
fof(f979,plain,
( ! [X2] :
( identity != inverse(X2)
| identity != X2 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f977,f615]) ).
fof(f989,plain,
( identity != sk_c8
| identity != sk_c1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(superposition,[],[f979,f153]) ).
fof(f995,plain,
( identity != sk_c1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f989,f842]) ).
fof(f999,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f995,f887]) ).
fof(f1000,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f999]) ).
fof(f1003,plain,
( sk_c6 != multiply(sk_c8,sk_c8)
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14 ),
inference(forward_demodulation,[],[f88,f608]) ).
fof(f1005,plain,
( sk_c8 != sk_c6
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1003,f588]) ).
fof(f1007,plain,
( sk_c8 != multiply(sk_c8,sk_c7)
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1005,f101]) ).
fof(f1008,plain,
( $false
| spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f1007,f566]) ).
fof(f1009,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f1008]) ).
cnf(s1,plain,
( spl0_1
| spl0_2
| ~ spl0_3
| spl0_4
| ~ spl0_5
| spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f103]) ).
cnf(s2,plain,
( spl0_8
| spl0_9 ),
inference(sat_conversion,[],[f112]) ).
cnf(s3,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f117]) ).
cnf(s4,plain,
( spl0_9
| spl0_11 ),
inference(sat_conversion,[],[f122]) ).
cnf(s5,plain,
( spl0_9
| spl0_12 ),
inference(sat_conversion,[],[f127]) ).
cnf(s6,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f132]) ).
cnf(s7,plain,
( spl0_3
| spl0_9 ),
inference(sat_conversion,[],[f133]) ).
cnf(s8,plain,
( spl0_8
| spl0_14 ),
inference(sat_conversion,[],[f138]) ).
cnf(s9,plain,
( spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s10,plain,
( spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f140]) ).
cnf(s11,plain,
( spl0_12
| spl0_14 ),
inference(sat_conversion,[],[f141]) ).
cnf(s12,plain,
( spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f142]) ).
cnf(s13,plain,
( spl0_3
| spl0_14 ),
inference(sat_conversion,[],[f143]) ).
cnf(s14,plain,
( spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f144]) ).
cnf(s15,plain,
( spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f145]) ).
cnf(s16,plain,
( spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f146]) ).
cnf(s17,plain,
( spl0_5
| spl0_12 ),
inference(sat_conversion,[],[f147]) ).
cnf(s18,plain,
( spl0_5
| spl0_13 ),
inference(sat_conversion,[],[f148]) ).
cnf(s19,plain,
( spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f149]) ).
cnf(s20,plain,
( spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f154]) ).
cnf(s21,plain,
( spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f155]) ).
cnf(s22,plain,
( spl0_11
| spl0_15 ),
inference(sat_conversion,[],[f156]) ).
cnf(s23,plain,
( spl0_12
| spl0_15 ),
inference(sat_conversion,[],[f157]) ).
cnf(s24,plain,
( spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f158]) ).
cnf(s25,plain,
( spl0_3
| spl0_15 ),
inference(sat_conversion,[],[f159]) ).
cnf(s26,plain,
( spl0_8
| spl0_16 ),
inference(sat_conversion,[],[f164]) ).
cnf(s27,plain,
( spl0_10
| spl0_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s28,plain,
( spl0_11
| spl0_16 ),
inference(sat_conversion,[],[f166]) ).
cnf(s29,plain,
( spl0_12
| spl0_16 ),
inference(sat_conversion,[],[f167]) ).
cnf(s30,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f168]) ).
cnf(s31,plain,
( spl0_3
| spl0_16 ),
inference(sat_conversion,[],[f169]) ).
cnf(s32,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f170]) ).
cnf(s33,plain,
( spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f171]) ).
cnf(s34,plain,
( spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f172]) ).
cnf(s35,plain,
( spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f173]) ).
cnf(s36,plain,
( spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f174]) ).
cnf(s37,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f175]) ).
cnf(s38,plain,
( ~ spl0_3
| spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f350]) ).
cnf(s39,plain,
( ~ spl0_3
| spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f369]) ).
cnf(s41,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f414]) ).
cnf(s43,plain,
( ~ spl0_1
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f455]) ).
cnf(s46,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f481]) ).
cnf(s50,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f517]) ).
cnf(s53,plain,
( ~ spl0_7
| ~ spl0_9
| ~ spl0_12
| spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f638]) ).
cnf(s69,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f832]) ).
cnf(s72,plain,
( ~ spl0_6
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f862]) ).
cnf(s79,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f973]) ).
cnf(s83,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s85,plain,
( spl0_3
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f1009]) ).
cnf(s86,plain,
spl0_3,
inference(rat,[],[s85,s7,s13,s19,s25,s31,s37]) ).
cnf(s87,plain,
spl0_7,
inference(rat,[],[s39,s32,s33,s34,s35,s36,s86]) ).
cnf(s88,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_9
| ~ spl0_8
| ~ spl0_6 ),
inference(rat,[],[s53,s12,s24,s30,s41,s87]) ).
cnf(s89,plain,
( spl0_12
| ~ spl0_6 ),
inference(rat,[],[s72,s23,s29]) ).
cnf(s90,plain,
( spl0_11
| ~ spl0_6 ),
inference(rat,[],[s72,s22,s28]) ).
cnf(s91,plain,
( spl0_10
| ~ spl0_6 ),
inference(rat,[],[s72,s21,s27]) ).
cnf(s92,plain,
( ~ spl0_10
| ~ spl0_8
| ~ spl0_12
| ~ spl0_11
| ~ spl0_6 ),
inference(rat,[],[s6,s41,s88]) ).
cnf(s93,plain,
( ~ spl0_10
| ~ spl0_6
| ~ spl0_12
| ~ spl0_11 ),
inference(rat,[],[s72,s20,s26,s92]) ).
cnf(s94,plain,
~ spl0_6,
inference(rat,[],[s93,s91,s90,s89]) ).
cnf(s95,plain,
spl0_5,
inference(rat,[],[s38,s14,s15,s16,s17,s18,s86]) ).
cnf(s96,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10 ),
inference(rat,[],[s53,s6,s12,s24,s30,s50,s86,s87]) ).
cnf(s97,plain,
( spl0_12
| ~ spl0_4 ),
inference(rat,[],[s69,s5,s11,s23,s29,s87]) ).
cnf(s98,plain,
( spl0_11
| ~ spl0_4 ),
inference(rat,[],[s69,s4,s10,s22,s28,s87]) ).
cnf(s99,plain,
( spl0_10
| ~ spl0_4 ),
inference(rat,[],[s69,s3,s9,s21,s27,s87]) ).
cnf(s100,plain,
( ~ spl0_10
| ~ spl0_12
| ~ spl0_4
| ~ spl0_11 ),
inference(rat,[],[s69,s2,s8,s20,s26,s96,s87]) ).
cnf(s101,plain,
~ spl0_4,
inference(rat,[],[s100,s99,s98,s97]) ).
cnf(s102,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_2
| ~ spl0_8 ),
inference(rat,[],[s53,s6,s12,s24,s30,s46,s87]) ).
cnf(s103,plain,
( spl0_12
| ~ spl0_2 ),
inference(rat,[],[s83,s5,s11,s23,s29,s95,s87]) ).
cnf(s104,plain,
( spl0_11
| ~ spl0_2 ),
inference(rat,[],[s83,s4,s10,s22,s28,s95,s87]) ).
cnf(s105,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s83,s3,s9,s21,s27,s95,s87]) ).
cnf(s106,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_2 ),
inference(rat,[],[s83,s2,s8,s20,s26,s102,s87,s95]) ).
cnf(s107,plain,
~ spl0_2,
inference(rat,[],[s106,s105,s104,s103]) ).
cnf(s108,plain,
spl0_1,
inference(rat,[],[s1,s87,s94,s95,s86,s101,s107]) ).
cnf(s109,plain,
( ~ spl0_12
| ~ spl0_11
| ~ spl0_10
| ~ spl0_8 ),
inference(rat,[],[s53,s6,s12,s24,s30,s43,s108,s87]) ).
cnf(s110,plain,
spl0_12,
inference(rat,[],[s79,s5,s11,s23,s29,s95,s87,s108]) ).
cnf(s111,plain,
spl0_11,
inference(rat,[],[s79,s4,s10,s22,s28,s95,s87,s108]) ).
cnf(s112,plain,
spl0_10,
inference(rat,[],[s79,s3,s9,s21,s27,s95,s87,s108]) ).
cnf(s113,plain,
~ spl0_8,
inference(rat,[],[s109,s111,s110,s112]) ).
cnf(s114,plain,
spl0_16,
inference(rat,[],[s26,s113]) ).
cnf(s115,plain,
spl0_15,
inference(rat,[],[s20,s113]) ).
cnf(s116,plain,
spl0_14,
inference(rat,[],[s8,s113]) ).
cnf(s117,plain,
spl0_9,
inference(rat,[],[s2,s113]) ).
cnf(s118,plain,
$false,
inference(rat,[],[s79,s114,s108,s87,s95,s116,s115,s117]) ).
fof(f1010,plain,
$false,
inference(avatar_sat_refutation,[],[s118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP293-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:45:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.45 % (2844853)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (2844863)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2844445144:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (2844859)% WARNING: option uhcvi not known.
% 0.10/0.45 % (2844858)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2985586606_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (2844860)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3216849720:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (2844861)dis+10_1_sil=32000:sp=arity:random_seed=3941120691:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (2844862)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3573521651:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (2844864)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1602367906:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (2844863) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2844853-2844863"...
% 0.10/0.45 % (2844859)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=511491775:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % TRYING [1]
% 0.10/0.45 % TRYING [2]
% 0.10/0.45 % (2844863)...printing done.
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (2844863)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (2844863)------------------------------
% 0.10/0.45 % (2844863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (2844863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (2844863)CaDiCaL version: 2.1.3
% 0.10/0.45 % (2844863)Termination reason: Refutation
% 0.10/0.45 % (2844863)Time elapsed: 0.011 s
% 0.10/0.45 % (2844863)Peak memory usage: 12 MB
% 0.10/0.45 % (2844863)Instructions burned: 29 (million)
% 0.10/0.45 % (2844853)Success in time 0.036 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------